A composite function is a type of function that is made up of two or more other functions. It is created by combining two or more functions together. The resulting function can be written as a single expression, or as a composition of multiple functions.
A composite function is a type of function that is formed by combining two or more other functions. It is created by combining two or more functions together using the mathematical operations of addition, subtraction, multiplication, division, or composition. The resulting function can be written as a single expression, or as a composition of multiple functions. A composite function is often used to simplify a complex problem, or to manipulate and analyze data. For example, if a data set contains two sets of data, a composite function could be used to combine the two sets of data into a single expression. Additionally, composite functions can be used to solve problems that involve multiple variables, as the resulting function can be used to represent the relationship between the variables. Furthermore, composite functions can be used to create graphs, which can be used to further analyze the data.
Learn more about Composite function here
https://brainly.com/question/28199758
#SPJ4
A sample of size 95 will be drawn from a population with mean 25 and standard deviation 13. Find the probability that will be between 22 and 27.
1.3338 is the likelihood, The probability of anything occurring is known as probability.
How are probabilities calculated?The probability of anything occurring is known as probability. To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur.
The likelihood or chance that a specific event will occur is represented by a probability. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities.
Explanation:
Mean (m) = 25
The standard deviation is 13
Sample size (n) is 95.
Chance that x will fall between 22 and 27.
Zscore = x - mean / s / n
If x = 22, Zscore is equal to (22 - 25) / (13/95).
For x = 27, Zscore is equal to (27 - 25) / (13/95) / n = 13 / 95, which is 1.3338.
1.3338 is the likelihood.
To learn more about probability refer to:
brainly.com/question/24756209
#SPJ4
The UTM coordinates of Enchanted Rock State Natural Area in Fredericksburg, Texas, are 517266.07 E, 3374884.58 N, Zone 14R. How far is it from the zone's central meridian
Enchanted Rock State Natural Area is located at latitude 30.506130 and longitude -98.820064. The geographic coordinates of Enchanted Rock State Natural Area in Fredericksburg, United States, are 30° 30' 22.068" N and 98° 49' 12.2304" W. Enchanted Rock State Natural Area falls under the Mysterious Sites category.
Where can measurements be made using the WGS84 datum?The standard datum used by default for GPS devices used for commercial and recreational purposes is WGS84. GPS users are advised to always verify the datum of the maps they are utilising.
What datum does US Navstar GPS employ?WGS 84, also known as the datum, is now in use by US forces.
To know more about latitude visit:-
brainly.com/question/12180926
#SPJ4
Kelly has a savings account with a beginning balance of $800.
• She earns $340 a week at her job.
• For 8 weeks, she puts 15% of her weekly earnings into the savings account.
• Kelly makes 3 withdrawals of $45 each.
What is the account balance at the end of 8 weeks?
Let's start by using the provided information to formulate an equation.
Kelly starts with $800 in her savings account, so this is the initial amount. She makes $340 per week, 15% of which is invested into her savings account for 8 weeks, so this information will form a rate. Kelly also withdrew (subtracted) 45 dollars 3 times. Now, let's form the equation.
y=8(.15·340)+800-45(3), where y=remaining balance after 8 weeks. Now, lets simplify the equation using Orders of Operations.
Simplify parenthesis first:
y=8(.15·340)+800-45(3)
y=8(51)+800-45(3)
Complete any multiplication:
y=8(51)+800-45(3)
y=408+800-135
Add and subtract from left to right; addition and subtraction are not separate steps and must be done in the same step, so we work left to right as to whichever comes first:
y=408+800-135
y=1208-135
y=1,073
Remember that y is the remaining balance after 8 weeks. This means that $1,073 dollars is the balance after 8 weeks.
Hope that helps, and feel free to give Brainliest!
The account balance at the end of 8 weeks is $1073.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Kelly has a savings account with a beginning balance of $800 and she earns $340 per week.
Therefore, 15% of her weekly earnings for 8 weeks is,
= (15/100)×340×8.
= $408.
Again, She made $45 withdrawals 3 times, which is,
= 3×45.
= $135.
Therefore, The final amount in her account after 8 weeks is,
= $(800 + 408 - 135).
= $1073.
learn more about percentages here :
https://brainly.com/question/24159063
#SPJ5
Im a little stuck on this one yall
The pairs of alternate interior angles are <5<4 and <6<3
What is alternate interior angles ? Alternate interior angles are the pair of angles that are formed on the inner side of the two parallel lines but on the opposite side of the transversal.When two parallel lines are crossed by a transversal, the pair of angles formed on the inner side of the parallel lines, but on the opposite sides of the transversal are called alternate interior angles. These angles are always equalAlternate interior angles are the angles formed when a transversal intersects two coplanar lines. They lie on the inner side of the parallel lines but on the opposite sides of the transversal. The transversal crosses through the two lines which are Coplanar at separate points.To learn more about alternate interior angles refers to:
brainly.com/question/24839702
#SPJ1
A tudent council ell 48 badge for $432. Which equation repreent the relationhip of x badge to y dollar
The equation that represents the relationship of x number of badges to y dollars is y = 9x.
What is an equation?
A mathematical statement called an equation displays the equality of two mathematical expressions. Variables, coefficients, exponents, arithmetic operators, equal signs, and constants are some of the components that make up an equation.
An equation is said to be linear if the maximum power of the variable is consistently 1.
Let the number of badges be x and the cost of x number of badges be y.
From the question, we know that for 48 badges, the cost is $432.
So the cost of one badge = 432/48 = $9
Now the cost of x number of badges = $(9x)
We mentioned in the beginning that the cost of x number of badges is y
Therefore the equation that represent the relationship of x badge to y dollars is,
y = 9x
To learn more about equations, follow the link below.
https://brainly.com/question/17145398
#SPJ4
How do you find the equation of a vector given the point and direction?
To find the equation of a vector given a point and direction, you need to find the components of the vector and plug them into the equation: v = (x, y, z).
The equation of a vector is typically written like this:
v = (x, y, z)
To find the equation of a vector given a point and direction, you need to find the components of the vector and plug them into the equation. For example, let's say you are given the point (1,2,3) and the direction of the vector is (2,3,4). The components of the vector, v, would be x = 2, y = 3, and z = 4, so the equation for that vector would be:
v = (2, 3, 4)
To find the equation of a vector given a point and direction, you need to find the components of the vector and plug them into the equation: v = (x, y, z).
Learn more about equation here
https://brainly.com/question/29657992
#SPJ4
Question
To be eligible for the swim team, the mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s). The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.
What is the maximum time (in seconds) that she can take on her last lap and still make the team?
The maximum time (in seconds) that she can take on her last lap and still make the team will be 52 seconds.
How to calculate the mean?From the information, to be eligible for the swim team, the mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s). The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.
The maximum time (in seconds) that she can take on her last lap and still make the team will be:
= (60 × 5) - (63 + 62 + 65 + 58)
= 300 - 248
= 52
Learn more about mean on
brainly.com/question/1136789
#SPJ1
A pole that is 3.2 m tall casts a shadow that is 1.32 m long. At the same , a nearby tower casts a shadow that is 46.75 m long. How tall is the tower? Round your answer to the nearest meter.
Answer:
The tower is 113 meters.
Step-by-step explanation:
We are given a pole and a tower that both create a shadow.
Hence, the figures made are triangles.
If you draw the figure (attached to this response), you can see the two triangles are similar triangles.
⭐What are similar triangles?
two triangles whose corresponding side lengths are proportional and have the same shapeStrategycreate a proportion of the ratios of the corresponding side lengthssolve for the length of the towerCreate a ratio for the corresponding side lengthsThe length of the height of the pole (3.2) corresponds to the length of the height of the tower (x).
The length of the shadow of the pole (1.32) corresponds to the length of the shadow of the tower (46.75).
Therefore, our two ratios are:
[tex]\frac{3.2}{x}[/tex] and [tex]\frac{1.32}{46.75}[/tex]
Create a proportion for the corresponding side lengthsA proportion is when you set two ratios equal to each other:
[tex]\frac{3.2}{x} = \frac{1.32}{46.75}[/tex]
Solve for the length of the tower (x)To solve for x, cross multiply by multiplying the opposite parts of the fraction together.
[tex]\frac{3.2}{x} = \frac{1.32}{46.75}\\46.75(3.2) = 1.32x\\149.6 = 1.32x\\\\113 = x[/tex]
∴ The tower is 113 meters tall!
if this response helped you, please mark it the "brainliest" :)
If AnB= {2,4}
AnB'= {0,1}
AUB= {0,1,2,3,4,5}, Then what is B\A?
Answer:
I don't know I'm just a grade 6 girl
What is an equation of the line that passes through the points (4,-3) and (2,0)
y = 3/2x - 9/2
The equation of the line that passes through the points (4,-3) and (2,0) can be found using the point-slope form of a linear equation. The point-slope form of a linear equation is y-y1=m(x-x1), where m is the slope of the line and (x1,y1) is a point on the line.
To calculate the slope, we will use the formula m = (y2-y1)/(x2-x1). In this equation, (x1,y1) = (4,-3) and (x2,y2) = (2,0). Substituting these values into the slope formula, we get m = (0-(-3))/(2-4) = 3/(-2) = -1.5.
Now that we have the slope, we can plug the point (4,-3) and the slope (-1.5) into the point-slope form of a linear equation to get y-(-3)=-1.5(x-4). Simplifying this equation, we get y+3=-1.5x+6, which is the equation of the line that passes through the points (4,-3) and (2,0).
What is the probability that a randomly selected box of the cereal contains less than 9.65 ounces of cereal
There is a 0.0001 percent chance that the average amount of cereal in these boxes is less than 9.65 ounces.
What is meant by probability?The likelihood of an event happening is gauged by probability. Many things are impossible to completely predict in advance. We can only forecast how likely an event is to occur using it, or how likely it is to occur.The probability is a metric for determining how likely an event is to occur. It gauges the event's degree of certainty. The probability formula is presented as follows: P(E) = Number of Favorable Outcomes/Number of Total Outcomes.By dividing the number of preferable possibilities by the total number of potential outcomes, probability, which measures the likelihood that an event will occur, is obtained.Given that,
Mean µ = 9.70
Sample size = n = 5
standard deviation = σ = 0.03
Its distribution is normal, therefore
σx = σ/
σx = 0.03
σx = 0.0134
We must now determine the z value in order to use the table.
z = (x - µ) ÷ σ
z = (9.65 - 9,70) ÷ 0.0134
z = -3.73
Now
From the probability index tables
So P (z ≤ - 3.73) = 0.0001
Hence, the correct option is e) 0.0001
The complete question is:
A company’s cereal boxes advertise that each box contains 9.65 ounces of cereal. In fact, the amount of cereal in a randomly selected box follows a Normal distribution with mean μ = 9.70 ounces and standard deviation σ = 0.03 ounce. Now take an SRS of 5 boxes. What is the probability that the mean amount of cereal in these boxes is less than 9.65 ounces?
a. 0.4525
b. 0.9522
c. 0.9999
d. 0.0478
e. 0.0001
To learn more about probability, refer to:
https://brainly.com/question/24756209
#SPJ4
Consider the parent function f(x) below and graph
On solving the provided question, we can say that - here in graph Between the lowest number, which is 0, and the highest value, which is 5, there is a range. The range is therefore -9=y=5.
What is graphs?
Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph
There is a range between the minimum value, which is 0, and the greatest value, which is 5. Thus, the range is -9=y=5.
To know more about graphs visit:
https://brainly.com/question/11950136
#SPJ1
Blank times 9 minus blank times 4 equals blank minus blank equals blank. You have to use the numbers 9,7,4,3 only.
The value for the blanks after calculating the as per the given data is found to be as 4 and 9 respectively.
On solving the question we will get the answer of the final blank as 0.
The question can be rephrased as ,
__x 9 - __ x 4 = ___ - ___ = ___.
Now if we will place 4 in first blank and 9 in second blank we will get the result as follows,
4 x 9 - 9 x 4 = 36 - 36 = 0
Therefore , we will get our desired answer.
A relationship between two quantities or, more broadly, two mathematical expressions that asserts that the quantities have the same value or that the expressions reflect the same mathematical object is referred to as equality.
To learn more about equality
brainly.com/question/12323068
#SPJ4
BANKING Twin brothers Amare and Jermaine each received $1000 for graduation. Amare invests his money in an account that pays 2.25% compounded daily. Jermain invests his money in an account that pays 2.25% compounded
annually.
Part A
Which brother will have more money at the end of 10 years?
A) Amare
B) Jermaine
C) The accounts will be equal.
Part B
To the nearest cent, how much more money? $
A) Amaire have more money than Jermaine after 10 years.
B) By [tex]5.387*10^{11}[/tex]% Amaire has more money than Jermaine.
What is compound interest?
The interest charged on a loan or deposit is known as compound interest. It is the idea that we employ the most frequently on a daily basis. Compound interest is calculated for an amount based on both the principal and cumulative interest.
Amare and Jermaine has initial amount = $1000
Amare spend his money that pays 2.25% compounded daily.
where are Jermain invest his money that pays 2.25% compounded annually.
Formula of Compound interest that compounded daily
final amount = [tex]A(1+\frac{r}{365})^{365t}[/tex]
where A is initial amount and t is time in years .
final amount after 10 years
final amount = [tex]1000(1+\frac{2.25}{365})^{365*10}[/tex]
final amount = 1000×[tex]1.00616^{3650}[/tex]
final amount = 1000×5.51×[tex]10^{9}[/tex]
final amount = $5.51 ×[tex]10^{12}[/tex]
Formula of Compound interest that compounded annually
final amount = [tex]A(1+\frac{r}{100})^{t}[/tex]
where A is initial amount and t is time in years .
final amount after 10 years
final amount = [tex]1000(1+\frac{2.25}{1000})^{10}[/tex]
final amount = 1000×[tex]1.00225^{10}[/tex]
final amount = 1000×1.0227
final amount = $1022.7
Part A :
Amare has more money after 10 years.
part B :
percent more money = [($5.51 ×[tex]10^{12}[/tex] - 1022.7)/1022.7]*100=[tex]5.387*10^{11}[/tex]%
To learn more about Compound Interest from the given link
brainly.com/question/28020457
#SPJ1
Three line segments have measures of 18 units, 12 units, and 10 units. Will the segments form a triangle?
Does it form a triangle?
No, the segments will not form a triangle based on the line segments provided.
For three line segments to form a triangle, they must satisfy the triangle inequality theorem. The triangle inequality theorem states that for any triangle, the sum of the lengths of any two sides of the triangle must be greater than the length of the third side.
This is because if the sum of the lengths of any two sides is less than or equal to the third side, it would not be possible to form a triangle with those side lengths, as the two shorter sides would not be able to reach the longer side to form the triangle.
In this case, the sum of the two shorter segments (12 units + 10 units) is 22 units, which is less than the measure of the longest segment (18 units). Therefore, the three segments will not form a triangle.
Learn more about Triangle inequality theorem here:
https://brainly.com/question/1163433
#SPJ4
4. Two of the angles in a triangle have measure of 79° and 81°. Which of the angle measures below
could belong to a triangle that is similar to this triangle?
A) 81 and 80°
B) 81 and 20°
C)79° and 90°
D)79° and 21°
Answer:
B) 81 and 20°
Step-by-step explanation:
In any triangle, the sum of the measures of the three angles is 180°. Therefore, if two angles in a triangle have measures of 79° and 81°, the third angle must have a measure of 180 - 79 - 81 = 20°. Therefore, the answer is B) 81 and 20°.
Answer:
B
Step-by-step explanation:
In the figure shown, what is the value of x?
PLEASE HURRY JUST GIVE ME THE ANSWER THANK YOU
Answer: x= 23
Step-by-step explanation:
Select the values that make the inequality 5u> -80 true. Then write an equivalent
inequality, in terms of u.
(Numbers written in order from least to greatest going across.)
-26
0 -17
0-13
0 -21
☐ -16
Submit Answer
0 -11
Equivalent Inequality: u
□ -19
0-15
-6
The value u > -16 that makes the inequality 5u > -80 is true.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
We have the inequality,
5u > -80
To find the solution set of the inequality;
Divide by 5 to both sides,
5u/5 > -80/5
u > -16.
That means, the inequality is true for u > -16.
Therefore, the inequality is true for u > -16.
To learn more about the inequality;
brainly.com/question/28823603
#SPJ1
find equation of the line passing through (4,8) and parallel to the line 3x+y=17( Please give workout)
Answer:
y = -3x +20
Step-by-step explanation:
Equation of line: y =mx + b
Where m is the slope and b is the y-intercept.
3x + y = 17
Write the above equation in y = mx +b form.
y = -3x + 17
m = -3
Parallel lines have same slope.
So, slope of the required line is (-3).
y = -3x + b
This line is passing through (4,8). Substitute in the above equation and find the value of 'b'.
8 = -3*4 + b
8 = -12 + b
8 + 12 = b
b = 20
Equation of the line:
[tex]\sf \boxed{ y = -3x + 20}[/tex]
What are the 3 steps for solving a quadratic equation?
Determine what a, b, and c are worth. the quadratic formula in writing. After that, enter the values for a, b, and c. Simplify.
what is quadratic equation ?A quadratic polynomial in a single variable is represented by the expression x ax2+bx+c=0, which is a quadratic equation. a 0. Since it is a second order polynomial, the Fundamental Theorem of Algebra guarantees that it has at least one solution. Simple or difficult solutions are both possible. The term "quadratic equation" refers to an equation that is quadratic. It must square at least one word, according to this indication. One of the common solutions for quadratic equations is the formula "ax2 + bx + c = 0." where the variables "X" are undefined and are numerical coefficients or constants a, b, and c.
given
steps are
Find out what a, b, and c are worth.
Quadratic formula: write it down.
Add the values of a, b, and c after that. Simplify.
To know more about quadratic equation visit:
https://brainly.com/question/30098550
#SPJ4
Please hurry it is timed and i need help!
The best option regarding the solutions of the trigonometric equation presented in this problem is given as follows:
A. 60º + n360º, 300º + n360º.
How to solve the trigonometric equation?The trigonometric equation for this problem is defined as follows:
[tex]\cos{x} - \sqrt{1 - 3\cos^2{x}} = 0[/tex]
Then, isolating the cosine, we have that:
[tex]\cos{x} = \sqrt{1 - 3\cos^2{x}}[/tex]
Applying the square for both sides, we have that:
cos²(x) = 1 - 3cos²(x).
4cos²(x) = 1.
cos²(x) = 1/4
cos²(x) = 0.25.
Applying the square root to both sides, we have that:
cos(x) = 0.5.
Meaning that the angle measures of x with the cosine of 0.5 are given as follows:
x = 60º, x = 300º.
(as the cosine is positive on the first and fourth quadrant).
One entire lap over the unit circle is equivalent to 360º, hence adding 360º n times to any of these solutions is also a solution to the trigonometric equation, meaning that option a is correct.
More can be learned about trigonometric expressions at https://brainly.com/question/24349828
#SPJ1
A circle with center O has radius 25. Chord AB of length 30 and chord CD of length 14 intersect at point P . The distance between the midpoints of the two chords is 12. The quantity OP^2 can be represented as m/n, where and are relatively prime positive integers. Find the remainder when m+n is divided by 1000.
Therefore after using the Pythagorean Theorem and the properties of chords in a circle we got 626 when m+n is divided by 1000.
What is Pythagorean Theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Define hypotenuse.The longest side of a right-angled triangle, or the side across from the right angle, is called the hypotenuse.
Let M and N be the midpoints of chords AB and CD, respectively.
Let X and Y be the foot of the perpendicular from P to chord AB and CD respectively.
Since X,Y are on the circle and P is the midpoint of XY,
OP = PX = PY = radius = 25
Now, using the Distance Formula:
(XM)^2 + (YN)^2 = (12)^2
By the Pythagorean Theorem, on triangle PXN and PYM,
(25)^2 + (YN)^2 = (PN)^2 = (14/2)^2 and
(25)^2 + (XM)^2 = (PX)^2 = (30/2)^2
OP^2 = 625 = 25^2
thus m+n = 625 + 1 = 626
and remainder when m+n is divided by 1000 is 626 % 1000 = 626
To know more about chords in circle visit: https://brainly.com/question/1654080
#SPJ4
HEEELLLLP MEEEEE PLEASEEEE
The positive value of the distance between the two objects
is [tex]r = +\sqrt \frac{GM_1M_2}{F_g}[/tex].
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, The formula to calculate the gravitational force between two objects
is [tex]F_g = \frac{GM_1M_2}{r^2}[/tex] where r is the distance between the objects M is the individual masses and G is the gravitational constant.
Solving for r would result in two values one positive and one negative and distance can not be negative so we want the positive value.
[tex]F_g = \frac{GM_1M_2}{r^2}[/tex].
[tex]r^2 = \frac{GM_1M_2}{F_g}[/tex].
[tex]r = \pm\sqrt \frac{GM_1M_2}{F_g}[/tex].
[tex]r = +\sqrt \frac{GM_1M_2}{F_g}[/tex].
learn more about gravitational force here :
https://brainly.com/question/12528243
#SPJ1
Radicals please help
On solving the provided question, we can say that - the radicals are as follows be = 3x^2|y| sqrt(7x)
what are radicals?The square root or nth root symbol is called a radical. Expressions with square roots are referred to as root expressions. A radical's radicand is a number or phrase that appears there. The radicals 7, 2y+1, and so on are examples. The following phrases can also be used to describe radicals: Radical equations are equations contained within of radicals. The term "root expression" refers to the expression found inside the square root. Examples of radical representations are the numbers 2, 372, 2x+7, and 41p.
here,
the radicals will be - 7xy ∛(xy^2)
and 3x^2|y| sqrt(7x)
To know more about radicals visit:
https://brainly.com/question/11707044
#SPJ1
(6) (Bonus) A rectangular tank with a bottom and sides but no top is to have volume 500 cubic feet. Determine the dimensions (length, width, height) with the smallest possible surface area.
The dimensions length is 10 feet, width is 10 feet and height is 5 feet and the smallest possible surface area is 300 square feet.
Volume=lbh
lbh=500 cubic feet
h=500/lb
Surface area S=lb+2bh+2lh...(1) {rectangular tank has no top}
S=lb+2b(500/lb)+2l(500/lb) {substituting the value of h in 1}
S=lb+1000/l+1000/b { partially differentiating S with respect to l and b}
for S to be minimum dS/dl=0 and dS/db=0
dS/dl= b-1000/l^2
dS/dl=0
b=1000/l^2...(2)
dS/db= l-1000/b^2
dS/db=0
l=1000/b^2
l=1000/(1000/l^2)^2 {substituting the value of b from 2}
l=(1000 x l^4)/(1000000)
1000000/1000=l^4/l
1000=l^3
l=10 feet
b=1000/l^2
b=1000/100=10 feet
lbh=500
h=500/(10x10(
h=5 feet
S=10x10+2x5x10+2x10x5
S=300 square feet
Length is 10 feet, width is 10 feet and height is 5 feet and the smallest possible surface area is 300 square feet of the rectangular tank.
To know more about partial derivative:
https://brainly.com/question/14782333
#SPJ4
2. A chef can make 12 meals with 3 pounds of steak. If he plans to make 250 meals and the steak costs $6.60 per pound, how much will the chef spend on steak
The amount of money which the chef spends on steak as calculated from the data given is found to be $412.50.
Now as we know that ,
for a meal of 12 meals the chef uses 3 pounds.
Therefore , for a meal of 250 meals the chef uses x pounds
Now , we will solve this proportion.
x=(250 meals*3 pounds)/12 meals
= 62.5 pounds
Now , cost of steaks = 6.60 dollars.
Therefore cost of 62.5 pounds of steaks will be ,
62.5 pound x $ 6.60/pound
= $ 412.50
A comparison between two numbers is called a proportion. If two sets of provided numbers increase or decrease in the same ratio, then the ratios are said to be directly proportional to each other.
To learn more about proportion
brainly.com/question/3254974
#SPJ4
A wheelchair ramp is to be built beside the steps to the campus library. Find the angle of elevation of the 23-foot ramp, to the nearest tenth of a degree, if its fi nal height is 6 feet.
The angle of elevation of the ramp is 28.6 degrees.
If the ramp's final height is 6 feet, calculate the ramp's angle of elevation to the nearest tenth of a degree.The angle of elevation of the ramp is the angle formed by the ramp to the horizontal ground.It is also known as the angle of inclination. To find the angle, the following equation is used:Tan = (Change in Height) / (Length of Ramp)
Therefore, using the given information, the angle of elevation of the 23-foot ramp is:
Tan = (6 feet) / (23 feet)
Tan = 0.26
= 14.5° (to the nearest tenth of a degree)
Therefore, the angle of elevation of the 23-foot ramp is 14.5°.
The angle of elevation of the 23-foot ramp is 15.7 degrees to the nearest tenth of a degree.This can be found using the equation for finding the angle of elevation of an incline, which is tan θ = rise/run.In this case, the rise is 6 feet (the final height of the ramp) and the run is 23 feet (the length of the ramp).Therefore, the equation becomes tan θ = 6/23, and the angle of elevation can be found by solving for θ.Using a calculator, this value turns out to be 15.7 degrees.To learn more about the angle of inclination refer to:
https://brainly.com/question/4598225
#SPJ4
In the figure shown, EF is tangent to the circle at F, and EG is
tangent to the circle at G. Line segments HF, PG, HJ, and PJ
are also tangent segments.
When mEF = 10 units, what is the perimeter of triangle EHP?
Explain your reasoning.
Answer:
The perimeter is 20 units----------------------------------
According to the two-tangent theorem, two tangent segments drawn to one circle from the same external point are congruent.
That is:
EF = EG,HF = HJ,PJ = PG.We have EF = 10 units, it means EG is also 10 units.
The perimeter of triangle EHP is:
P = EH + HP + EPWe can substitute:
HP = HJ + PJ, segment addition,HJ = HF, stated above,PJ = PG, stated above.Then the perimeter is:
P = (EH + HF) + (EP + PJ) = EF + EG = 10 + 10 = 20 unitsConvert 12 m/s in
to km/h
By using the conversion factor: 1 km/h = 0.277778 m/s, we get 12 meter per second is equal to 43.2 km/h.
What is velocity?Velocity is a vector quantity that represents the rate of change of an object's position. It is defined as the displacement of an object divided by the time it takes for that displacement to occur. In other words, velocity tells you how fast an object is moving in a certain direction.
What is the unit and formula for velocity?The standard unit for velocity is meters per second (m/s) or kilometers per hour (km/h) in the International System of Units (SI). In imperial system of units, it is expressed in feet per second (ft/s) or miles per hour (mph).
The formula for velocity is:
velocity = displacement / time
To convert 12 m/s to km/h, you can multiply 12 by the conversion factor:
12 m/s * (1 km/h / 0.277778 m/s) = 43.2 km/h
So 12 meters per second is equal to 43.2 kilometers per hour.
Another way to do the conversion is by applying the formula :
Speed (km/h) = Speed (m/s) x 3.6
12 x 3.6 = 43.2
To know more about velocity visit:
https://brainly.com/question/18084516
#SPJ1
If the m<1 = 17x - 30, and the <2 = 7x + 18, what is the value of x?
Answer:
X=8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
17x−30+7x+18=180
17x+−30+7x+18=180
(17x+7x)+(−30+18)=180(Combine Like Terms)
24x+−12=180
24x−12=180
Step 2: Add 12 to both sides.
24x−12+12=180+12
24x=192
Step 3: Divide both sides by 24.
X=8