HELP ME DO THIS PLZ
Answer:
It landed at a height of 14 feet
Step-by-step explanation:
Given
[tex]y = -\frac{1}{8}x^2 +4x[/tex] --- Path of a t-shirt
[tex]3y = 2x - 14[/tex] --- height of bleachers
Required
Height when t-shirts land in bleachers
[tex]3y = 2x - 14[/tex]
Make y the subject
[tex]y = \frac{2}{3}x - \frac{14}{3}[/tex]
Substitute [tex]y = \frac{2}{3}x - \frac{14}{3}[/tex] in [tex]y = -\frac{1}{8}x^2 +4x[/tex]
[tex]\frac{2}{3}x - \frac{14}{3} = -\frac{1}{8}x^2 +4x[/tex]
Multiply through by 24
[tex]16x- 112 = -3x^2 +96x[/tex]
Express as:
[tex]3x^2 + 16x -96x- 112 = 0[/tex]
[tex]3x^2 -80x- 112 = 0[/tex]
Using a calculator:
[tex]x = 28[/tex] or [tex]x = -\frac{4}{3}[/tex]
x can not be negative:
So:
[tex]x = 28[/tex]
Substitute [tex]x = 28[/tex] in [tex]y = -\frac{1}{8}x^2 +4x[/tex] to calculate the height it landed
[tex]y = -\frac{1}{8} * 28^2 + 4 * 28[/tex]
[tex]y = 14[/tex]
What does 3/5 + 2/5=
Answer:
1 whole
Step-by-step explanation:
Answer:
5/5 or 1 whole
Step-by-step explanation:
Using traditional methods, it takes 95 hours to receive a basic flying license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 260 students and observed that they had a mean of 94 hours. Assume the standard deviation is known to be 6. A level of significance of 0.01 will be used to determine if the technique performs differently than the traditional method. Is there sufficient evidence to support the claim that the technique performs differently than the traditional method
Answer:
There is not sufficient evidence to support the claim that the technique performs differently than the traditional method.
Step-by-step explanation:
The null hypothesis is:
[tex]H_{0} = 95[/tex]
The alternate hypotesis is:
[tex]H_{1} \neq 95[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
A researcher used the technique with 260 students and observed that they had a mean of 94 hours. Assume the standard deviation is known to be 6.
This means, respectively, that [tex]n = 260, X = 94, \sigma = 6[/tex]
The test-statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{94 - 95}{\frac{6}{\sqrt{260}}}[/tex]
[tex]z = -2.69[/tex]
The pvalue is:
2(P(Z < -2.69))
P(Z < -2.69) is the pvalue of Z when X = -2.69, which looking at the z-table, is 0.0036
2*(0.0036) = 0.0072
0.0072 < 0.01, which means that the null hypothesis is accepted, that is, there is not sufficient evidence to support the claim that the technique performs differently than the traditional method.
..............................................help
Answer:
Its C
Step-by-step explanation:
Pretty ez since 8 divided by 12 is 2/3 or you just simply simplify it.
Answer:
C. 2/3
I promise this is right.
Please help due soon.
(No Links Allowed)
Answer: x = 5, x = -5 If you need more....
x = [tex]5^{1}[/tex]
x = [tex]\sqrt{25}[/tex]
100 POINTS PLZ HELPPP Drag each tile to the correct box. Arrange the expressions in increasing order of their estimated values.
Answer:
[tex]\frac{\sqrt{24}- \sqrt{54} }{\sqrt{6}}[/tex] = -1 [tex]\sqrt{\frac{9}{20}[/tex]*[tex]\frac{10\sqrt{2} }{3\sqrt{5} }[/tex] = 1.4142[tex]\frac{10\pi\sqrt{2}-8\pi\sqrt{2}}{2\sqrt{2}}[/tex] = π =3.14159[tex]\pi\sqrt{\frac{5}{3}}\cdot\pi\sqrt{\frac{3}{5}}[/tex] = π² = 9.8696Explanation:
1.) Rewrite √24 = [tex]\sqrt{4*6} = 2\sqrt{6}[/tex] Rewrite √54 =[tex]\sqrt{9*6}= 3\sqrt{6}[/tex]
Divide both terms by the denominator; √6 cancels. 2-3 = -1
2.) Rewrite as [tex]\frac{3}{2\sqrt{5}}[/tex] ×[tex]\frac{10\sqrt{2}}{3\sqrt{5}}[/tex] The 3's cancel. 10/2 = 5√2 in the numerator.
√5 × √5 = 5 in the denominator. The 5's cancel.
That leaves √2 ≈1.4142
3.) Divide the terms in the numerator by the term in the denominator.
√2's cancel. 10π/2 = 5π 8π/2 = 4π
Subtract and we are left with π = 3.14159
4.) [tex]\pi\sqrt{\frac{5}{3}}\cdot\pi\sqrt{\frac{3}{5}}[/tex] The square roots are reciprocals. They multiply to 1
We are left with π × π = π² ≈ 9.8696
Answer:
It goes...The second one, fourth one, First one, then the third one
Step-by-step explanation:
I took the test a while ago
Estimate:
20 is 22% of what number?
Answer:
90.9091 yeah I'm pretty sure
The number 20 is 22% of 90.91.
Percentage is a way of expressing a portion or fraction of a whole as a proportion of 100. It is denoted by the symbol "%". Percentages are commonly used to compare relative values, express ratios, or represent portions of a whole.
To estimate the number that 20 is approximately 22% of, we can set up the equation:
0.22 x = 20
Here, x represents the unknown number we are trying to estimate.
To estimate x, we can divide 20 by 0.22:
x ≈ 20 / 0.22
x ≈ 90.91
Therefore, 20 is 22% of 90.91.
Learn more about Percentage here:
https://brainly.com/question/26535441
#SPJ6
The sum of 43 and z is equal to 72.98. Enter the equation that represents the description.
sum is an answer to an addition problem, so we have to add 43 and z. z+43=72.98
Subtract 43 on both sides.
z=29.98
---
hope it helps
Answer:
43 + z = 72.98
Step-by-step explanation:
Sum meaning add the two (or more numbers together) we get 43+ z = 72.98
If you're trying to find "z" simply subtract 43 from 72.98 to get 29.98 as z
What is the value of 4)1/8 divided by 5)1/2
Answer:
I'm assuming that you meant to type: The question is x/5=1/2+1/8 ; X= ?
If so, we're solving for x.
x/5 = 1/2 + 1/8
2 is a factor of 8, so let's start with common denominators.
x/5 = 1/2 *(4/4) + 1/8
x/5 = 4/8 + 1/8
x/5 = 5/8 As long as we just need to know the value of x, let's use inverse operations.
x/5 *5 = 5/8 *5
x = 25/8 or 3.125
explain how to solve. g ÷ 4 = 24
[tex]Your[/tex] [tex]answer[/tex] [tex]would[/tex] [tex]be.[/tex]
[tex]g/4 = 24 // - 24\\g/4-24 = 0\\1/4*g-24 = 0 // + 24\\1/4*g = 24 // : 1/4\\\g = 24/1/4\\g = 96\\g = 96[/tex]
[tex]- Yaoii[/tex]
Answer:
g = 96
Step-by-step explanation:
Rewrite : g ÷ 4 = 24
Write the division as a fraction : 1/4g = 24
Multiply both sides : 1/4g = 24
Multiply both sides of the eqaution by 4 :
g = 96
Final answer g = 96
Angle a =
126
What is the measure of angle b? Explain how you calculated your answer.
Angle a=
126° Write an equation(s) in terms of b to find the measure of angle h.
Calculate the measure of angle h, using the equation(s) you wrote for Part B.
How would knowing the measure of angle y change the equation(s) you wrote in Part B to find the measure of angle h?
B I VIX
©2021 Illuminate Education, Inc.
Answer:
L 2r. x. em -ca tpd apt answer
Si not send links please. Just need the answer. Thank you
Answer:
the answer is 8
solve the equation a/a^2-9 +3/a-3=1/a+3
helllpplll pleaseeeeee
Answer:
Step-by-step explanation:
area of bottom of round pan = πr² = 9π in² ≅ 28.27 in²
area of bottom of rectangular pan = 10×2 = 20 in²
area of bottom of round pan is greater than area of bottom of rectangular pan by about 8.27 in²
A Toblerone candy bar is in the shape of a triangular prism. The area of the base is 3 in 2and the height of the prism is 5 in. What is the volume of the candy bar?
Answer:
15 in³Step-by-step explanation:
Volume of the prism:
V = Bh, where B- area of base, h- heightGiven:
B = 3 in²h = 5 inVolume is:
V = 3*5 = 15 in³Volume
Area of base ×Height3(5)15in³Elena has more roses than Lin. Lin has 8 roses and Elena has x roses. Which expression represents the number of roses Elena has?
Section: 4: Interpret:
Which of the following statements are TRUE for the child dependency ratio for the Midwest region?
Select all that apply
OA. There are approximately 30 children for every 100 workers in the Midwest region.
OB. There are 298 children for every 1000 workers in the Midwest region.
C. 29.8% of the workers are children in the Midwest region.
D. 29.8% of the people are children in the Midwest region.
E. There are 298 children for every 1000 people in the Midwest region.
OF. None of the above statements is true.
Which of the following statements are TRUE for the old-age dependency ratio for the Midwest region?
Select all that apply
A. There are approximately 20 elderly for every 100 people in the Midwest region.
B. 19.7% of the workers in the Midwest region are elderly.
C. There are 197 elderly for every 1000 people in the Midwest region.
D. There are 197 elderly for every 1000 workers in the Midwest region.
OE. 19.7% of the people in the Midwest region are elderly,
OF. None of the above statements is true.
Which of the following statements are TRUE for the age dependency ratio for the Midwest region?
Select all that apply
OA. There are approximately 50 dependents for every 100 workers in the Midwest region.
OB. For every 1000 people in the Midwest region there are 495 dependents.
C. 49.5% of the workers in the Midwest region are dependent.
OD. 49.5% of the people in the Midwest region are dependent.
E. Approximately 50 workers in the Midwest region are dependent.
F. For every 1000 working people in the Midwest region there are 495 dependents.
O G. None of the above statements is true,
Section: 5: Extend:
This needs to be turned in in 15 minutes help also can u answer both
Answer:
1. 12
Step-by-step explanation:
(square root X ) +2=6, solve for x
Answer:
[tex]\Large\boxed{x=16}[/tex]
Step-by-step explanation:
[tex]\sqrt{x} +2=6[/tex]
Subtract 2 from both sides
[tex]\sqrt{x} =4[/tex]
Square both sides
[tex]x=16[/tex]
surface area of rectangular prism
Answer:
1. 10
2.96
3.252
4.16
5.105
6.90
Step-by-step explanation:
Which property of equality would you use to solve the following equation? W/5=10
Answer:
Multiplication property of equality because we need to multiply both sides by 5 to get rid of the denominator, so we get w = 50.
Hope this helps and brainliest please
Answer:
You would use the multiplication property of equality and by using that you get W=50.
You are taking a date to dinner and plan to pay for both meals, but you only have $32. If you plan
to leave a 20% tip, how much can you spend on the meals at most?
- need how to solve it
- need the final answer for this question
Answer:
$23.6
Step-by-step explanation:
What is the solution to the equation y/y-4 -4/y+4=32/y2-16?
Answer:
No solution
Step-by-step explanation:
For the equation given, we have an alternate form that is
[tex]\dfrac{y^2 + 16}{y^2-16} =\dfrac{32}{y^2-16}[/tex]
It is clear that
[tex]y^2+16 = 32 \implies y=4, y=-4[/tex]
But the denominator goes to zero and it is undefined.
If you take
[tex]$\lim _{y\to 4}\left(\dfrac{y^2+16}{y^2-16}\right)$[/tex]
you'll see that
[tex]$\lim _{y\to 4^-}\left(\dfrac{y^2+16}{y^2-16}\right) = -\infty$[/tex]
[tex]$\lim _{y\to 4^+}\left(\dfrac{y^2+16}{y^2-16}\right) =\infty$[/tex]
It diverges and the limit does not exist.
3. What are the domain and range of (x) = 4* ?
Domain:
Range:
PLS HELP!! :))
How many faces, edges, and vertices does this figure have?
Answer: 5 faces,8 edges,5 vertices
Step-by-step explanation:5 faces - of which 1 is a square face at the base and 4 isosceles triangle, above.
5 vertices - of which 4 are at the base where 3 edges meet and one above where 4 edges meet.
8 edges - of which 4 are equal in length and at the base and the other 4 are equal in length and above.
how many rhombuses are in a trapezoid?
Name a plane parallel to plane CIJ
A. Plane AFL
B. Plane AFD
C. Plane IJL
D. Plane BCI
Answer:
i think its c
Step-by-step explanation:
What is the greatest common factor of 22 and 2?
in the diagram, which pair of angles are corresponding angles?
A. 1 and 8
b. 4 and 6
c. 3 and 7
d. 2 and 4
2/3 x 6 + 2/3 x 1
2/3 is a fraction
Answer:
5 and 1/9
Step-by-step explanation:
(2/3 × 6) + (2/3 × 1 and 2/3)
4 + 1 and 1/9 = 5 and 1/9
The images show further explanation: