4. ADEF is an equilateral triangle.
E
24
20
D
F

Answer: D. [tex]y=\frac{1}{9} x^{2}[/tex]

Step-by-step explanation: The smaller the coefficient of a fraction by the quadratic function (the x squared value), the more narrow the graph becomes. 1/4 is larger than 1/9 and the other two whole numbers are still larger than 1/9. Even though -1 is less than 1/9, this only makes the graph flip, not make it any more narrow. Fractions are what squeeze graphs, negatives do not make a difference (i.e. -1/4 is the same size of narrowness as 1/4).

93 rats can be anticipated in the park now.

In 2015, there were 310 rats that were counted living in a park.
the rats and the population decreased by 70%

percentage is the ratio of composition of matter to the overall composition of matter multiplied by 100.

Since rat decreased by 70 %,

= 310 x 70 / 100
= 217
Now the decrease in rats = 310 - 217
anticipated rats in the park  = 93

Thus the 93 rats can be anticipated in the park now.

Learn more about percentage here:

brainly.com/question/13450942

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Given:

The vertices of a triangle are R(3, 7), S(-5, -2), and T(3, -5).

To find:

The vertices of the triangle after a reflection over x = -3 and plot the triangle and its image on the graph.

Solution:

If a figure reflected across the line x=a, then

[tex](x,y)\to (-(x-a)+a,y)[/tex]

[tex](x,y)\to (-x+a+a,y)[/tex]

[tex](x,y)\to (2a-x,y)[/tex]

The triangle after a reflection over x = -3. So, the rule of reflection is

[tex](x,y)\to (2(-3)-x,y)[/tex]

[tex](x,y)\to (-6-x,y)[/tex]

The vertices of triangle after reflection are

[tex]R(3,7)\to R'(-6-3,7)[/tex]

[tex]R(3,7)\to R'(-9,7)[/tex]

Similarly,

[tex]S(-5,-2)\to S'(-6-(-5),-2)[/tex]

[tex]S(-5,-2)\to S'(-6+5,-2)[/tex]

[tex]S(-5,-2)\to S'(-1,-2)[/tex]

And,

[tex]T(3,-5)\to T'(-6-3,-5)[/tex]

[tex]T(3,-5)\to T'(-9,-5)[/tex]

Therefore, the vertices of triangle after reflection over x=-3 are R'(-9,7), S'(-1,-2) and T'(-3,-5).

Answer:

1. 10

2.96

3.252

4.16

5.105

6.90

Step-by-step explanation:

Answer:

The answer is....

The volume of a cylinder is 2462 feet³.

Please give Brainly

Step-by-step explanation:

Answer:

37.68 cubic inches

Step-by-step explanation:

V=pi*r^2*h

V=3.14*2^2*3

Answer:what is this

Step-by-step explanation:

Answer:

a=20 m²

b=21 cm²

c=36 dm²

Step-by-step explanation:

A) 12²+16²=a²

144+256=a²

400=a²

√400=a

a=20

B) 28²+b²=35²

784+b²=1225

b²=1225-784

b²=441

b=√441

b=21

C) c²+15²=39²

c²+225=1521

c²=1296

c=√1296

c=36

Answer:

a) Upper Control Limit = 0.10

   Lower Control Limit = 0.01

b) The tech assistance process is stable and in control.

Step-by-step explanation:

Given - After a number of complaints about its tech assistance, a

            computer manufacturer examined samples of calls to determine

            the frequency of wrong advice given to callers. Each sample

            consisted of 100 calls.

SAMPLE             1   2   3   4   5   6   7   8   9  10 11 12 13 14 15 16

Number of errors 5  3   5   7   4   6   8   4   5    9   3   4   5   6   6   7

To find - a. Determine 95 percent limits.

              b. Is the tech assistance process stable (i.e., in control)

Proof -

z = 95% confidence interval

  = 1.96

⇒z = 1.96

Proportion of defects,P = total defectives/total observations

                                     = 0.0544

⇒P = 0.0544

Now,

Q = 1-P

   = 0.9456

⇒Q = 0.9456

Now,

Average sample size, N = 100

Standard deviation = [tex]\sqrt{\frac{P.Q}{N} }[/tex]

                             = 0.0227

Now,

Upper Control Limit = P + z(Standard deviation)

        = 0.0988

⇒Upper Control Limit = 0.0988 ≈ 0.10

And

Lower Control Limit = P - z(Standard deviation )

       = 0.0099

⇒Lower Control Limit = 0.0099 ≈ 0.01

∴ we get

Upper Control Limit = 0.10

Lower Control Limit = 0.01

b.)

Now,

it is clear that the fraction defective values are wit in upper an lower control limits.

So, The tech assistance process is stable and in control.

Answer:

i think its c

Step-by-step explanation:

7)  28/80

because it’s being multiplied by 2

6) 60/ 64

because it’s being multiplied by 4

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

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:

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]

[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

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

Answer:

3

Step-by-step explanation:

Answer:

x=55 degrees

DOE = 117 Degrees

Step-by-step explanation:

You know EOF is equal to COD so you can say

x+8=63

x+8-8=63-8 (subtract 8 from both sides)

x=55 degrees

Next

63 and DOE add up to 180

DOE = 180-63

DOE = 117 Degrees

Answer:

Step-by-step explanation:

35.7826087

I'm guessing you want it estimated to the nearest tenth so 35.8

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.

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.

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.

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.