77°F is equivalent to 45°C as per the given equation.
The correct formula for conversion is,°F = (°C × 9/5) + 32, and 77°F is equivalent to 25°C
This is a problem with the temperature conversion. We can solve this problem by following a few steps.
F = C +32 as per the question and the temperature is given as 77°. We have to convert this temperature to degrees Celsius. We can write C as (F-32).
Hence the formula for C can be written as C = F - 32
Now we can find convert the temperature,
C = F - 32
Or, C = 77 - 32 [ subtracting 32 from both sides ]
Or, C = 45
Here we can conclude that 77°F is equivalent to 45°C as per the question.
The correct formula for conversion is,
°F = (°C × 9/5) + 32
Or, 77 = (C × 9/5) + 32
Or, (C × 9/5) = 77 - 32 [ subtracting 32 from both sides ]
Or, (C × 9/5) = 45 [ multiplying both side with 5/9 ]
Or, C = (45×5) / 9 = 25
According to the correct conversion equation, 77°F is equivalent to 25°C
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Subjects in a marketing study were shown a movie and at the end of the movie were given a test to measure their recall. The scores are listed below. 10, 22, 97, 49, 61, 85, 35, 57, 31, 26, 27, 40, 86, 88, 28, 61, 87, 62, 92, 58, 101, 210 Construct a box-plot for the test scores. Are there any outliers?
One observation (210) given a test at the end of the movie to measure their recall is an outlier because it is above the fence above, as can be seen.
Data should first be arranged as follows in ascending order:
10, 22, 26, 27, 28, 31, 35, 40, 49, 57, 58, 61, 61, 62, 86, 86, 87, 88, 92, 97, 101, 210
There are n = 22 observations. Here n is even. Hence median is the mean of the middle two observations.
Median = (11 + 12) th observation /2 = (58 + 61)/2 = 59.5
We now divide the ordered data equally into two halves. Therefore, there are 11 observations in the lower section and 11 observations in the upper part.
The first quartile now corresponds to the median of the lower half.
Q1 = [(11 + 1)/2] the observation = 6th observation = 31
The third quartile represents the upper half part's median.
Q3 = [(11 + 1)/2] the observation = 6th observation = 87
IQR = Q3 - Q1 = 87 - 31 = 56
Lower fence = Q1 - 1.5 × IQR = 31 - 1.5 × 56 = -53
Upper fence = Q3 + 1.5 × IQR = 87 + 1.5 × 56 = 171
One observation (210) is an outlier since it is above the upper fence, as can be seen.
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Select the correct answer. Jessica is 5 years older than her sister Jenna. Jenna tells her sister that in 5 years, she will be as old as Jessica was 5 years ago. If Jenna’s age is x, which equation represents the situation? How many solutions does the equation have? A. x + 5 = (5 − x) − 5, which has one solution B. x + 5 = (x + 5) − 5, which has infinitely many solutions C. x + 5 = (x + 5) − 5, which has no solution D. x + 5 = (5 − x) − 5, which has infinitely many solutions E. (x + 5) + 5 = (x + 5) + 5, which has infinitely many solutions
this is precents
60% of 90
please leave a sloution
To calculate the 60% of 90, we need to understand what means 60% in terms of fractions. Converting a percentage into a fraction has a simple method: Dividing the percentage by 100. So 60% in fraction form is just
[tex]\frac{60}{100}=\frac{3}{5}[/tex]Now, to solve the problem, we only need to multiply our number 90 by this fraction; it gives us
[tex]90\cdot\frac{3}{5}=\frac{270}{5}=54[/tex]Thus the 60% of 90 is 54.
Sarah needed to get her computer fixed. She took it to the repair store.
The technician at the store worked on the computer for 4.25 hours and
charged her $54 for parts. The total was $585.25. Write and solve an
equation which can be used to determine x, the cost of the labor per
hour.
The equation which is helpful to determine x, the cost of the labor per hour is 4.25x + 54 = 585.25.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
Given that,
x is the labor cost per hour.
The technician worked on the computer for 4.25 hours.
Total labor cost = 4.25x
The total parts cost = $54
The total charged cost = total parts cost + total labor cost
585.25 = 54 + 4.25x
4.25x + 54 = 585.25
Hence "The equation which is helpful to determine x, the cost of the labor per hour is 4.25x + 54 = 585.25".
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The graph of g(x) shown below has the same shape as the graph of f(x)=x2 but it is shifted right by 5 units write the equation for g(x)please help me!! :(
f(x)= x^2
To shift 5 units to the right subtract 5 to x .
g(x)= (x-5)^2
O GRAPHS AND FUNCTIONSFinding a difference quotient for a linear or quadratic function
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given difference quotient formula
[tex]\frac{f(x+h)-f(x)}{h}[/tex]STEP 2: Write the given function f(x)
[tex]f(x)=-2x^2-4x+7[/tex]STEP 3: Get f(x+h)
[tex]\begin{gathered} f(x)=-2x^2-4x+7,\text{ we n}eed\text{ to get }f(x+h) \\ f(x+h)=-2(x+h)^2-4(x+h)+7 \\ -2(x+h)^2-4(x+h)+7=-2(x^2+2xh+h^2)-4x-4h+7 \\ \Rightarrow-2x^2-4xh-2h^2-4x-4h+7 \\ \Rightarrow-2x^2-2h^2-4xh-4x-4h+7 \end{gathered}[/tex]STEP 4: Rewrite the expression by substitution
[tex]\begin{gathered} \frac{f(x+h)-f(x)}{h}\Rightarrow\frac{-2x^2-2h^2-4xh-4x-4h+7-(-2x^2-4x+7)}{h} \\ \Rightarrow\frac{-2x^2-2h^2-4xh-4x-4h+7+2x^2+4x-7_{}}{h} \\ Re-\text{arrange the expression} \\ \frac{-2x^2+2x^2-2h^2-4xh-4x+4x-4h+7-7}{h} \\ \Rightarrow\frac{-2h^2-4xh-4h}{h} \\ \Rightarrow\frac{-h(2h)}{h}-\frac{(4x)h}{h}-\frac{h(4)}{h} \\ \Rightarrow-2h-4x-4 \end{gathered}[/tex]Hence, the result of the simplification is:
[tex]-2h-4x-4[/tex]how do you do order of operations with negitive signs
Let's use some examples where we have order of operations and also there are negative numbers and signs involved:
Let's evaluate the following:
(-4) x 5 + (-6)
So order of operations tells us to first take care of the multiplications and after that, deal with the additions or subtractions.
So the multiplication goes first here:
(-4) times 5 = - 20
Recall that a positive number times a negative number gives alwasy a negative number. So negative times positive gives the negative sign to the multiplication, and then, once the sign is taken care of, you multiply the numbers (4 x 5 = 20)
Next, we do the indicated addition
-20 + (-6) = -20 - 6 = -26
weher again we use the property that the + times the - inside the parenthesis gives a minus. ad we finalize by doing -20 - 6 = -26 (combining of two negative numbers).
Another example:
(8 + (-5)) x (-8)
So we first work on solving what is inside the first parenthesis :
8 + (-5) this is 8 - 5 (as we did before, the plus outside the parenthesis where -5 is, results in a minus sign as it multiplies the "-" that is shown ahead of 5.
So, inside this parenthesis we get: 8 - 5 = 3
Now we are left to multiply 3 times (-8)
This is a product of a positive number (3) times a negative number (-8). Again, do the rule for product of the signs (positive times negative equals negative) , ad then the product of the numbers: 3 x 8 = 24
so the answer is - 24
Another example:
(-9) x ((-10)+ 10)
We need to start by solving the operation indicated inside the parenthesis:
(-10) + 10 This is the same as: - 10 + 10 = 0
Now, whenwe use this result in the full expression, we get:
(-9) x 0 = 0 SInce any number multiplied times zero is zero.
Select the correct answer from the drop-down menu.Find the solution set for the system of equations.
Given:
9x+5y=28
5x+9y=56
Required:
To calculate the solution of the system
Explanation:
Rearrange like terms to the same side of the equation
[tex]\begin{gathered} 5x=28-9x \\ \\ 5x+9y=56 \\ \\ y=\frac{28-9x}{5} \\ \\ 5x+9y=56 \\ \\ substitute\text{ in the equation } \\ \\ 5x+9\times\frac{28-9x}{5}=56 \\ \\ x=\frac{-1}{2} \end{gathered}[/tex][tex]\begin{gathered} substitute\text{ value in y} \\ \\ y=\frac{28-9\times(\frac{-1}{2}}{5} \\ \\ y=\frac{13}{2} \end{gathered}[/tex]Required answer:
Option B
7. Write the equation of the line in slope-intercept form given the following:Point (-5, -3), slope =3/5
start by writing in the form
[tex]y=mx+b[/tex]where you already have the slope and you must find b, which is the y-intercept
[tex]y=\frac{3}{5}x+b[/tex]use the point given (-5,-3) to find b
[tex]\begin{gathered} -3=\frac{3}{5}(-5)+b \\ -3=-3+b \\ -3+3=b \\ b=0 \end{gathered}[/tex]Polygon BCDE ≅ polygon RSTU. Find the value of X and the value of Y
By comparing both polygons, we can tell that they are not the same polygon, since one of the sides has length 11 in one trapezoid and 12 in the other. So, this polygons are similar. We notice that the variables X and Y are part of the angles. In polygons that are similar, the measure of the homologous angles are equal. By homologous we mean angles that are located at the same place in both figures. To determine the homologous angles, we should have both figures drawn in the same orientation. To do so, we will flip the trapezoid on the left, so its orientation matches the one fromt the right. I picture of this flipping would be
From this picture, by comparing it to the other polygon, we determine that the angle EDC is homologous to the angle UTS. So, their measure should be the same. So, we get the following equation
[tex]2y\text{ - 37 = }y+2[/tex]By adding 37 on both sides and subtracting y on both sides, we get
[tex]2y\text{-y = +2 +37 = 39}[/tex]This implies that y = 39°.
By doing the same procedure, we find that the angles URS and CBE are homologous. So their measures are equal and we get the equation
[tex]51\text{ = }2x+13[/tex]Then, by subtracting 13 on both sides
[tex]2x\text{ = 51-13 = 38}[/tex]If we divide both sides by 2 we get
[tex]x=\frac{38}{2}=19[/tex]So x = 19°.
Rashida was given 48 problems for homework. she has worked out 7/12 of them. how many more left unsolved
Answer:
she has left 28 unsolved problem or whatever it is
Step-by-step explanation:
48:12=4
4x7=27
If OA-OB-OC and if AOB = 9x + 20, BOC = 7x - 6 and AOC = 142 find BOC
The angle BOC has a measure of 50 degrees
How to evaluate the measure of the angle?From the question, the given parameters about the angles are:
OA-OB-OCAOB = 9x + 20BOC = 7x - 6AOC = 142The above parameters implies that
AOC = AOB + BOC
Next, we substitute the angle measurements in the above equation
So, we have
142 = 9x + 20 + 7x - 6
Evaluate the like terms
So, we have the following equation
142 = 16x + 14
Evaluate the like terms again
So, we have the following equation
16x = 128
Divide both sides by 16
x = 8
Substitute x = 8 in BOC = 7x - 6
BOC = 7 x 8 - 6
Evaluate
BOC = 50
Hence, the measure of the angle is 50 degrees
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Craig uses 5 cups of flour to make 10 cookies. How many cups of flour would Craig need to make 35 cookies?
NEED HELP!
Answer:
15
Step-by-step explanation:
5/2=2.5
35/2.5=15
Step-by-step explanation:
To make 5 batches of cookies, 10 cups of flour are required.
To make 1 batch of cookies:
10 cups ÷ 5 cups = 2 cups of flour
True or false?
When prices increase supply decreases.
Answer:
The answer to your question is:
False.
Step-by-step explanation:
If prices increase, then no one would want to buy the product. No one would come.
Therefore, the correct answer is;
When prices increase, supply decreases.
What is m<1?
Please someone help me! Thank you
Answer:
108°
Step-by-step explanation:
[tex]m\angle 3=72^{\circ}[/tex] (corresponding angles)
[tex]m\angle 1=108^{\circ}[/tex] (linear pair)
2. Suppose you traveled from Saturn to Jupiter, and then from Jupiter to Mars. What would be the total distance in scientific notation
We have that approximately, the distance from Saturn to Jupiter is:
[tex]4.56x_{}10^8\text{ miles}[/tex]and the distance from Jupiter to Mars approximately is:
[tex]3.42x10^8\text{miles}[/tex]then, the total distance traveled would be the sum of these two quantities:
[tex](4.56x10^8)+(3.42x10^8)=7.98x10^8[/tex]therefore the total distance is 7.98x10^8 miles
BUILD PERSEVERANCE Point
C
(
6
,
9
)
is located on the segment between point
A
(
4
,
8
)
and point B. The ratio of AC to CB is 1:3. What are the coordinates of point B?
The co ordinates of the point B is (12, 12)
Given,
The co ordinates:
Point C = (6, 9)
Point A = (4, 8)
Point B = (x, y)
AC : CB(m : n) = 1 : 3
We have to find the co ordinates of point B.
Lets use the formula to find the coordinates of point C.
C = 1 / (m + n) × (mx₂ + nx₁, my₂ + ny₁)
Where,
C = (6, 9)
m = 1
n = 3
x₁ = 4
x₂ = x
y₁ = 8
y₂ = y
So,
(6, 9) = 1 / (1 + 3) × ((1 × x) + (3 × 4), (1 × y) + (3 × 8))
(6, 9) = 1/4 × (x + 12, y + 24)
(6 × 4, 9 × 4) = (x + 12, y + 24)
(24, 36) = (x + 12, y + 24)
Lets evaluate:
x + 12 = 24 and y + 24 = 36
Solve for x,
x + 12 = 24
Add -12 to both sides
x + 12 - 12 = 24 - 12
We get,
x = 12
Now solve for y,
y + 24 = 36
Add -24 to both sides
y + 24 - 24 = 36 - 24
We get,
y = 12
That is, the co ordinates of the point B is (12, 12)
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Solve for x 3(2^x-3)=384
Answer:
Solve for x: 3[2^(x-3) ]=384:solution:
Here,3[ 2^(x-3) ] = 384
or, 2^(x-3) = ( 384 /3 )
or, 2^(x-3) = 128
or, 2^(x-3) = 2^(7)
or, x-3 = 7 [ ∵ laws of indices ]or, x = 7+3
∴ x = 10 ans
An architect notices that the scale on a blueprint he is using has been torn off. However, he sees that a 12.5-ft. wall that has been built is 5 in. long on the blueprint. What is the scale for this blueprint?
A. 1 in. : 2.5 ft.
B. 1 in. : 25 ft.
C. 1 in. : 62 ft.
D. 1 in. : 62.5 ft.
Answer it is c because when you multiply 12 x 5 you get 60 right so round up to the nearest number 62 an u can't subtract or divide you won't get a or b
Select all the equations for which 7 is a solution. A.) x-5=12B.) 5+x=12C.) x+12=19D.) x-5=-12
a) 7 - 5 = 12
2 = 12 This is not a solution
b) 5 + 7 = 12
12 = 12 This is a solution
c) 7 + 12 = 19
19 = 19 This is a solution
d) x - 5 = -12
7 - 5 = -12
2 = -12 This is not a solution
What is the perimeter of the figure shown below which is not drawn to scale
The perimeter of a figure is found adding the length of all its sides.
In this case, the perimeter is:
P = (x + 6) + (3x - 2) + (x- 3) + (x+ 2) + (x) + (x + 5)
P = (x +3x + x +x + x + x) + (6 - 2 -3 +2 + 5)
P = 8x + 8
What is the answer to this question?
Answer:
C. (5, 5)
Step-by-step explanation:
To do this, you take each coordinate and perform the function that is shown in the translation.
So for (x-2, y+3),
you are going to take the x value of the coordinate you are given:
(7,2) and subtract 2, and then take the y value of (7,2) and add 3.
(7 - 2, 2 + 3)
Then solve this:
(5, 5)
A computer has the shape of a rectangular solid. Find the volume of the computer, with dimensions of 3 inches by 3 inches by 3.6 inches. The volume of the computer is. (simplify your answer. type a whole number or a decimal.)
To find the volume of the computer, we just have to multiply each coordinate.
[tex]\begin{gathered} V=3in\times3in\times3.6in \\ V=32.4in^3 \end{gathered}[/tex]Hence, the volume is 32.4 cubic inches.help me please k=12 (4k+2) ÷ 10
Answer:
The answer is 5
Step-by-step explanation:
( 4k+2 ) / 10 = x
( 4(12) + 2 ) / 10 = x
( 48 + 2 ) / 10 = x
50 / 10 = x
x = 5
Select all equations that represent this tape diagram.
The equations that represent the diagram given are 7 + 8h = 167, 8h = 160
Equation that represent the diagramTo find the equation that represent the situation, we should simply count the number h present in the diagram, add it to 7 and equate the entire length to 167 which is the length of the tube.
This can be represented mathematically as
[tex]7 + h + h + h + h + h + h + h + h = 167[/tex]
we can simplify this further as
[tex]7 + h + h + h + h + h + h + h + h = 167\\7 + 8h = 167\\[/tex]
This can also be simplified as
[tex]7 + 8h = 167\\8h = 167 - 7\\8h = 160[/tex]
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the sum of 3 and w is greater than or equal to -22.
1) Let's write the inequality and solve it
w+3≥-22 Subtracting 3 from both sides
w ≥ -22 -3
w ≥ -25
2) Now let's write the solution as an interval. Considering that the solution is a set for all values greater than or equal to -25 for w. Including the -25 (closed) up to infinite (open).
[tex]S=\lbrack-25,\infty)[/tex]how do I solve this problem?
The complete table describing the probability distribution of X is:
x | P(x)
0 0.027
1 0.189
2 0.441
3 0.343
The values of the random variable X are given and the corresponding probabilities are to be found.
The probability distribution is binomial.
That is, P(X = x) = ⁿCₓ pˣ (1-p)ⁿ⁻ˣ, where p is the probability of success of X in n trials.
So here values of x are given.
From the table, it is clear that p = 0.7
and 1-p = 0.3
Number of trials, n = maximum number of x = 3
Now consider each x.
When x = 2,
P(X = 2) = P( getting 2 tails out of 3 flips)
= P(TTH or THT or HTT)
= P(TTH) +P(THT) +P(HTT) [since each of them are independent events]
= ³C₂ p²(1-p)³⁻²
= 3 (0.7)²(0.3)
= 0.441
When x = 3,
P(X = 3) = P( getting 3 tails out of 3 flips)
= P(TTT)
= ³C₃ p³(1-p)³⁻³
= 1 (0.7)³(0.3)⁰
= 0.343
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The following data set represents the ACT scores for students in Mrs. Smith's collegescience class.18 32 16 2319 21 28 2922 30 19 21What is the range for the ACT scores for the class?
The range is the difference between the greatest and the smallest number, so it is 32 - 16 = 16.
Please help Me I really need this !!!
Step-by-step explanation:
Original Equation:
[tex]x^2+5=0[/tex]
Subtract 5 from both sides
[tex]x^2 = -5[/tex]
Take the square root of both sides
[tex]x=\pm\sqrt{-5}[/tex]
Simplify
[tex]x=\pm i\sqrt{5}[/tex]
Thus we have two non-real solutions, and zero real solutions. This implies that the graph will never cross the x-axis when graphing the function out, because it has no real solutions.
Solving a word problem using a system of linear equations
In order to determine the weighs of the boxes, name x as the larger box and y as the smaller one.
Then, based on the given situation, you can write the following equations:
3x + 2y = 86
8x + 4y = 209
Solve the previous system of equations as follow:
Multiply the first equation by -2 and add the result to the second equation:
(3x + 2y = 86)(-2)
-6x - 4y = -172
8x + 4y = 209
-6x - 4y = -172
2x = 37
Solve the previous equation for x by dividing by 2 both sides:
x = 37/2
x = 18.5
Next, replace the previous value of x into any of the equations of the system, for instance, into the first equation, and solve for y:
3x + 2y = 86
3(18.5) + 2y = 86
55.5 + 2y = 86
2y = 86 - 55.5
2y = 30.5
y = 30.5/2
y = 15.25
Hence, the weighs of the boxes are:
larger box = 18.5 kg
smaller box = 15.25 kg