The first step that we must take before attempting to solve the problem is to understand what the problem is asking us to do and what is given to us to help accomplish that goal. Although it does not explicitly state that we must solve for t, this is usually what the problem statement would be asking if we just receive and expression like this. What is given to us to accomplish that goal is the expression [tex]4.9t+0.3=5.6t+0.72[/tex].
Now that we have completed that step, we can move onto the next part which is actually solving the problem. The next step that we should take when solving for the unknown, in this case t, is to subtract 4.9t from both sides.
Subtract 4.9t from both sides
[tex]4.9t+0.3=5.6t+0.72[/tex][tex](4.9t-4.9t)+0.3=(5.6t-4.9t)+0.72[/tex][tex]0.3=(5.6t-4.9t)+0.72[/tex][tex]0.3=(0.7t)+0.72[/tex]Now that we got all of the t's to one side, let us isolate t completely and the next step that we should take is to subtract 0.72 from both sides.
Subtract 0.72 from both sides
[tex]0.3=0.7t+0.72[/tex][tex]0.3 - 0.72=0.7t+0.72 - 0.72[/tex][tex]0.3 - 0.72=0.7t[/tex][tex]-0.42=0.7t[/tex]The final step that we need to take to isolate t would be to divide both sides by 0.7 which would remove the coefficient from the unknown variable t and divide 0.7 from -0.42
Divide both sides by 0.7
[tex]-0.42=0.7t[/tex][tex]\frac{-0.42}{0.7}=\frac{0.7t}{0.7}[/tex][tex]\frac{-0.42}{0.7}=t[/tex][tex]-0.6=t[/tex]Therefore, after fully narrowing down the solution we were able to determine that the solution of the unknown variable or t is equal to -0.6
A sector of a circle has central angle 120 degrees and arc length 10π
centimeters. What is the radius of the circle
Answer:
the radius = 15 cmStep-by-step explanation:
let r be the radius of the circle.
→ We know that in circle , the length of an arc
and the corresponding central angle are proportional.
180 corresponds to πr
120 corresponds to 10π
Then
[tex]\frac{\uppi r}{180} =\frac{10\uppi }{120}[/tex]
[tex]\Longrightarrow r=\frac{180\times 10\pi }{120\pi } =\frac{180}{12} =15[/tex]
Equation of the circle is x^2 +(y-10)^2=16. The radius of the circle is___units. The center of the circle is at ___
Answer:
Radius=4 units
Centre= (0,-10)
Step-by-step explanation:
Given equation of circle is x^2 +(y-10)^2=16
Comparing it with (x-h)^2 +(y-k)^2 = r^2 ,we get,
r=4
Since, centre of a circle=(h,k)=(0,-10)
Answer:
Center (0;10) Radius= 4. Make me brainliest? :(
Step-by-step explanation:
[tex](x + 0)^{2} + (y - 10)^{2} = 16 \\ center(0.10) \\ radius = \sqrt{16} = 4[/tex]
What is an equation parallel and perpendicular to the given line equation is y=2x - 5
Answer:
This should help.
Step-by-step explanation:
The attached image will help.
After a storm, a 36-foot tall tree is now leaning
towards a house, making an 87° angle with the
ground. If the angle of elevation from the base of
the house to the top of the tree is 38°, how far is the
tree from the house?
The distance of the tree from the house is: 45.99 feet
What is angle of elevation?Angle of elevation is the angle the horizontal makes with the line of sight.
Analysis:
The tree lean towards a house meaning it does not lean on the house but a distance away from the house.
let the distance away from the house be d.
The line of sight intersects the top of the tree at a point.
The height of the point from the horizontal ground is 36 sin 87 = 36(0.998) = 35.92 feet
to find distance of the tree from the house, we use the angle of elevation which is 38 degrees. so that tan 38 = 35.92/d
d = 35.92/0.781 = 45.9 feet
In conclusion, the distance of the tree from the house is 45.9 feet
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If \mathbf{9x+4y=3}9x+4y=3 is a true equation, what would be the value of \mathbf{4y+9x}4y+9x?
Answer:
3
Step-by-step explanation:
[tex]9x+4y = 4y+9x = 3[/tex]
A college basketball player is known to make 80% of his free throws. Over the course of the season, he will attempt 100 free throws. Assuming free-throw attempts are independent, what is the probability that the number of free throws he makes exceeds 80
The probability that the number of free throws he makes exceeds 80 is approximately 0.5000.
The complete question is as below:-
A college basketball player makes 80% of his free throws. Over the course of the season, he will attempt 100 free throws. Assuming free throw attempts are independent, the probability that the number of free throws he makes exceeds 80 is approximate:____________.
A) 0.2000
B) 0.2266
C) 0.5000
D) 0.7734
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Given that,
A college basketball player makes 80% of his free throws.
Over the course of the season, he will attempt 100 free throws.
Assuming free throw attempts are independent.
We have to determine,
The probability that the number of free throws he makes exceeds 80 is.
According to the question,
P(Make a Throw) = 80% = 0.80
number of free throws n = 100
Binomial distribution:
Mean: n x p = 0.80 x 100 = 80
Then, The standard deviation is determined by using the formula;
[tex]\sigma[/tex] = [tex]\sqrt{np(1-P)[/tex]
= [tex]\sqrt{80\TIMES (1-0.80)[/tex]
= [tex]\sqrt16[/tex]
= 4
Therefore,
To calculate the probability that the number of free throws he makes exceeds 80 we would have to make the following calculation:
P ( x> 80) = 1 - P ( x < 80)
To calculate this value via a normal distribution approximation:
P ( [tex]Z < \dfrac{80-80}{4})[/tex] = 1-P(Z < 0 ) = 1 - 0.50 = 0.500
Hence, The probability that the number of free throws he makes exceeds 80 is approximately 0.5000.
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If the standard deviation of an exam is 5, the z-score us 1.95 and the mean is 80; what is the actual test score? (Round the answer to the nearest hundredth)
If the standard deviation of an exam is 5, the z-score us 1.95 and the mean is 80, the actual test score is; 89.75
How to solve z-score problems?
We are given;
Standard deviation; s = 5
z-score = 1.95
Mean = 80
Formula for z-score is;
z = (x' - μ)/σ
Thus;
1.95 = (x' - 80)/5
1.95 * 5 = (x' - 80)
9.75 = x' - 80
x' = 80 + 9.75
x' = 89.75
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algebra 2 pls help ill give brainliest
Answer:
a = -2
p = 2
w = 3
Step-by-step explanation:
The degree of the polynomial is 6 as it has five turning points.
From inspection of the graph it appears that the curve touches
the x-axis at x = 1.
Therefore, a factor is (x - 1) with multiplicity of 2: (x - 1)²
The curve appears to cross the x-axis at x = 2.
Therefore, a factor is (x - 2), so p = 2
There appears to be a point of inflection at x = -1
Therefore, a factor is (x + 1)³, so w = 3
The y-intercept appears to be at (4, 0)
The product of the constants of the found factors is:
⇒ 1³ × (-1)² × (-2) = -2
Therefore, to find the value of a:
⇒ 4 = -2a
⇒ a = -2
Therefore, the polynomial function is:
f(x) = -2(x + 1)³ (x - 1)² (x - 2)
Please Help I Don't Understand
Answer:
The arrows on the line segments mean that the lines are parallel.
⇒ EB ║ DC
Therefore, according to Triangle Proportionality Theorem, EB divides the two sides AD and AC proportionally.
Therefore:
[tex]\begin{aligned}\sf \dfrac{AE}{AD} & = \sf\dfrac{AB}{AC}\\\\ \implies \sf \dfrac{10}{10+8} & = \sf \dfrac{x}{10}\\\\ \sf \dfrac{10}{18} & = \sf \dfrac{x}{10}\\\\ \sf 10 \cdot 10 & = \sf 18x\\\\\sf 100 & = \sf 18x\\\\ \sf x & = \sf \dfrac{100}{18}\\\\ \sf x & = \sf 5.5555...\end{aligned}[/tex]
As x = 5.55555... round to 5.6 to the nearest tenth,
none of the choices are correct.
Let's see
Use Thales theorem
[tex]\\ \rm\Rrightarrow \dfrac{AE}{AD}=\dfrac{AB}{AC}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{10}{10+8}=\dfrac{x}{10}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{10}{18}=\dfrac{x}{10}[/tex]
[tex]\\ \rm\Rrightarrow 18x=100[/tex]
[tex]\\ \rm\Rrightarrow x=5.56[/tex]
NOTA
Trigonometry: "Find x, to the nearest tenth of a centimetre."
How and what formulas/etc. can I use to solve this?
Answer:
The rule to be use is
SOC CAH TOA
But in this we use d CAH cox there's adjacent and hypothenos here
Step-by-step explanation:
The first triangle
hyp²=opp.²+adj²
62²=x²+3.5²
x²=62²-3.5²
x²=3844-12.25
x²=3831.75
Mark is baking a pie that has a diameter of 10 inches. he wants to cover the top of the pie with a pie crust . what is the area of the crust that will cover the top of the pie?
Answer:
79 square inches.
Step-by-step explanation:
Mark is baking a pie that has a diameter of 10 inches. he wants to cover the top of the pie with a pie crust. what is the area of the crust that will cover the top of the pie?
Pie = circle (shape)
What is the area of a circle 10 inches in diameter? ≈ 79 square inches. and r denotes the radius. = 78.5 square inches. ≈ 79 square inches.
Which of the following are mathematical sentences? Check all that apply.
A. 5-v
B.7
C. 4+3=7
D. 2<3
Y. 5-re =0
O F. gram
How do you write 6,920 in scientific notation
Answer:
6.92×10 to the power inverse eleven
the radius of a circle is 5 in. Find its area in terms of pi.
Answer:
well the area of a circle is [tex]\pi r^{2}[/tex]
Step-by-step explanation:
since they want it in terms of pi
just say, 25[tex]\pi[/tex]
Sandy typed 5 1/2 pages in 15 minutes. at this rate how many pages would sandy type per hour
Answer:
22 pages per hour.
Step-by-step explanation:
5.5/15 = 0.36666
0.36666 * 60 = 22
Aiden surveyed 300 of the students in his school about their favorite color. 85% said their favorite color was red. How many students' favorite color was red?
Answer:
255 students
Step-by-step explanation:
we can solve for the number of students who said their favorite color was red by setting up a cross-multiplication equation.
85% is nothing but 85/100
85/100 = ?/300
85 times 300 is 25500
25500/100 = 255
give brainliest, please!
hope this helps :)
Looking for the answer to this question
Answer:
Option A: Linear Regression
Step-by-step explanation:
The sale values do not increase in a quadratic or exponential function.
If the factors of quadratic function g are (x − 7) and (x + 3), what are the zeros of function g?
A.
3 and 7
B.
-3 and 7
C.
-7 and -3
D.
-7 and 3
Answer: B. -3 and 7
Step-by-step explanation:
To find the zeros, just move the constants to the other side,
x - 7 ⇒ x = 7
x + 3 ⇒ x = -3
If the number is moved to the other side its sign becomes opposite
Hope it helps!
6
the incomplete pictogram shows information about the number of eggs sold
shop on monday.
monday
tuesday
wednesday
on monday the shop sold 18 eggs.
on tuesday the shop sold 24 eggs.
on wednesday the shop sold 27 eggs.
use this information
The number of eggs sold on Tuesday is 2 complete circles, while the number of eggs sold on Wednesday is 2 complete circles and 1 quarter of the circle.
What is a graph?A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
Given on Monday the shop sold 18 eggs. Therefore, each quarter of the circle represents 3 eggs.
Hence, the number of eggs sold on Tuesday is 2 complete circles, while the number of eggs sold on Wednesday is 2 complete circles and 1 quarter of the circle.
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the area of a square is 2116 CM square which is equal to the area of a rectangle whose length is 92 cm what is the perimeter of the rectangle
Answer:
Perimeter = 230 cm.Step-by-step explanation:
width of the rectangle = 2116 ÷ 92 = 23
Perimeter of the rectangle = 2×(23 + 92) = 230
Select the correct answer from each drop-down menu. Segment AB has seven equally spaced points on it. Starting at A and moving left to right, the points are C, D, E, F, G, H, and I. In the diagram, is divided into equal parts. The coordinates of point A are (-3, 9), and the coordinates of point B are (9, 5). The coordinates of point C are . The coordinates of point E are . The coordinates of point H are .
The coordinates of points C, E and G are respectively; C = (-0.75, 8.5), E = (3.75, 7.5) and H= (7.5, 6)
What is the Coordinates of the Line Segment about?The question stated that the line AB is divided into 7 equally spaced points that are tagged as C, D, E, F, G, H and I.
Note that the coordinates of A and B are A(-3, 9) and B(9, 5) respectively and because they are known to be equally spaced, then it implies that point F is the midpoint of the line.
Thus (x, y) is said to be the coordinate of F. So;
x, y = (-3 + 9)/2, (9 + 5)/2
x, y = (6, 7)
Note also that H is the midpoint of FB. So,
H(x, y) = (6 + 9)/2, (5 + 7)/2
H(x, y) = (7.5, 6)
Since D is midpoint of A and F. therefore;
D(x, y) = (-3 + 6)/2, (9 + 7)/2
D(x, y) = (1.5, 8)
Since E is midpoint of F and D. So;
E(x, y) = (1.5 + 6)/2, (8 + 7)/2
E(x, y) = (3.75, 7.5)
C is midpoint of D and A. So;
C(x, y) = (-3 + 1.5)/2, (9 + 8)/2
C(x, y) = (-0.75, 8.5)
Therefore, we can say that the coordinates of points C, E and G are respectively; C = (-0.75, 8.5), E = (3.75, 7.5) and H= (7.5, 6).
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This table shows the music preferences in 14- to 19-year-olds. A Circle Graph was made using this data and presented at a conference.
What could make people at the conference draw wrong conclusions from this Circle Graph?
A. The Country section has the smallest area.
B. The Rap section covers the largest area.
C. The Alternative section is larger than the rock and roll section.
D. The Classical section is not included in the Circle Graph.
The wrong conclusions that can be drawn from the circle graph are:
The Country section has the smallest area.
The Classical section is not included in the Circle Graph.
What is a circle graph?A circle graph is a graph that displays information in a circle. The circle is divided into slices which represent a numerical proportion. The sum of angles in a pie chart is 360 degrees
In the circle graph, the country section has a percentage of 10% while the classical section has a percentage of 2%.
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Answer:
the answer is D
Step-by-step explanation:
look at the table there are 5 music genres but there's only 4 on the circle graph.
Dina is shipping a wall map to a collector. When the map is rolled up, it measures
7 ft long. She will use a box that is a right rectangular prism with a base that is 3 ft
by 3 ft. Which whole number could be the shortest height of the box that will hold
the map?
A 4 ft
B 5 ft
C 6 ft
D 7 ft
The shortest height of the box that will hold the map is 6 ft option (C) is correct.
What is the Pythagoras theorem?The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
We have:
Dina is shipping a wall map to a collector. When the map is rolled up, it measures.
From the figure we can apply the Pythagoras theorem to find the length BA:
BA² = 3² + 3²
BA = √18
Again applying Pythagoras theorem:
The height
AD² = 7² - (√18)²
AD² = 31
AD = √31 ft = 5.56 ft ≈ 6 ft
Thus, the shortest height of the box that will hold the map is 6 ft option (C) is correct.
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Use picture to answer
Answer:
C. 1
Step-by-step explanation:
this is how you solve it
find slope of a straight line if both intercept are equal
Answer:
-1
Step-by-step explanation:
Let the points be (0, a) and (a, 0) (As it mentions the intercepts are equal)
==============================================================
Applying slope formula :
⇒ m = 0 - a / a - 0
⇒ m = -a/a
⇒ m = -1
Jason and his friend went to a restaurant for dinner. The food that they ordered cost $25. A 7% sales tax was applied to the total.
After the sales tax was applied, Jason paid a 15% tip on the total bill. How much did Jason pay at the restaurant?
OA. $30.76
OB. $28.75
OC. $30.50
OD. $26.75
Answer:
A. $30.76
Step-by-step explanation:
First find the amount of tax applied to the bill.
Change 7% to a decimal by moving the decimal point two places left.
7% = 0.07
Multiply
25 x 0.07 = 1.75
Add the amount of tax to the total cost.
25 + 1.75 = 26.75
Now find the amount of the tip.
Change 15% to a decimal by moving the decimal two places left.
15% = 0.15
Multiply
26.75 x 0.15 = 4.0125
Add the amount of the tip back into the cost.
26.75 + 4.0125 = 30.7625
Round
30.7625 = 30.76
The cost of a rice cooker with 13% VAT is Rs 4,068.
Answer:
0.319
Step-by-step explanation:
I have do 13/4068*100percent hope the answer that I have gave is correct
The table represents the function f(x).
The value of f(3) is 9
How to determine the value of f(3)?The table that completes the question is added as an attachment.
From the complete table, we have:
When x = 3, the value of the function is 9
This means that:
f(3) = 9
Hence, the value of f(3) is 9
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Point P is located at (-2, 7), and point R is located at (1, 0). Find the y value for the point Q that is located 2/3 the distance from point P to point R.
A. 4.9
B. 4.7
C. 2.5
D. 2.3
What is the answer to this math problem james works in a factory and wraps 8 packages every hour. how many hours will it take james to wrap 3,736 packages
By taking a quotient between the number of packages and the rate at which James works, we conclude that he will need 467 hours.
how many hours will it take James to wrap 3,736 packages?
We know that James wraps at a rate of 8 packages in one hour. Then to get the time in which he can wrap a number N of packages, we need to take the quotient between N and 8.
In this case, N = 3,736.
Taking the quotient we get:
3,736/8 = 467
This means that in 467 hours he will wrap the 3,736 packages.
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