help me answer this question in the picture :)))

Answer:

12

Step-by-step explanation:

84/7 is 12, so she was going 12 mph

Answer:

A, D, E

Step-by-step explanation:

The statements that are true about the graph of the function are

The standard equation of a function in vertex form is expreseed as:

a(x-h)^2 + k

Given the quadaratic function  f(x) = x^2 - 8x + 5, the expression in vertex form is given as:
f(x) = (x^2-8x + 4^2) - 16 + 5

f(x) = (x-4)^2 - 16 + 5
f(x) = (x-4)^2 - 11

Find the y-intercept.

This is the point here x = 0
f(0) = 0^2 - 8(0) + 5
f(0) = 5

Hence the y-intercept of the function is at (0, 5)

Since the quadratic function has a leading degree of 2, hence the  function crosses the x-axis twice  

Learn more on vertex and intercepts here: https://brainly.com/question/12778829

Answer:

11/20 or 99/180 days

Step-by-step explanation:

55/100 converted to ?/180

180/100=1.8

so you would do the same on the numerator which is 55*1.8=99

99/180= 33/60=11/20

Answer:

125

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

n = 12.5 or 25/2

Step-by-step explanation:

170-4n = 120

1. Subtract 170 from both sides to isolate -4n.

-4n = -50

2. Divide both sides by -4 to isolate the n.

n = 12.5 or 25/2

Hope this helped!

Answer:

12.5

Step-by-step explanation:

170 - 4n = 120

-170          -170

-4n         = -50

4n         =  50

  n         = 12.5

Answer:

a. $1.43 per 100 gram

b. $10.43 for a kilogram (1000 grams)

c. 1 kilogram and 398 grams, or 1398 grams

Step-by-step explanation:

Answer:

A) X = 12

B) X = 4

Step-by-step explanation:

For both equations, the first step is the same. You must isolate x.

A) 2x/3 = 8

Multiply each side by 3 to get rid of the fraction.

2x = 24

Divide by 2.

x = 12

B) 3x/2 = 6

Multiply each side by 2 to get rid of the fraction.

3x = 12

Divide by 3.

x = 4

Answer:

38 Quarters

Step-by-step explanation:

D=number of dimes; Q=number of quarters=D+3

.

$0.10D+$0.25Q=$13

$0.10D+$0.25(D+3)=$13

$0.10D+$0.25D+$0.75=$13

$0.35D=$12.25

D=35

.

Q=D+3=35+3=38

ANSWER: He has 38 quarters.

Answer:

A = 4 cm^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 b*h

The base is 4 and the height is 2

A = 1/2 ( 4*2)

A = 1/2*8

A = 4 cm^2

Answer:

4

Step-by-step explanation:

A = BH/2

or Area = Base multiplied by Hieght divided by 2.

(b)4 x (h)2 = 8

8/2 = 4

Answer:

[tex]9^{1000000000}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that the principal p= $290

rate r= 2.2%  2.2/100 =0.022  

time t= 18years

by applying the expression

[tex]V = Pe^{rt}[/tex]

We have

[tex]V = 290e^{0.022*18}\\\\V=290e^{0.396}\\\\V=290*1.48586931755\\\\V=$430.90[/tex]

Hence after 18years the money in the account will be $430.90

Answer:

i think that Y= 59 because of it being a vertically opposite angle and X= 121 because of the line being a straight one and angles on a straight line add to 180

Step-by-step explanation:

hope this helps :))

Answer:D. 5(6+8)

Step-by-step explanation:First you need to distribute. Multiply 5 by both numbers inside parentheses. 5x6=30 and 5x8=40. This gives you 30+40

Answer:

The runner's unit rate is:  7 mph

Step-by-step explanation:

The runner's unit rate is the speed of the runner used to cover a mile in one hour

Given that ;

1/4 hours covers 7/4 miles

so;

1/4 = 7/4

1 =?

Perform cross product as;

(1*7/4) / 1/4

(7/4) / (1/4)

7/4 * 4/1

7 miles/hour

Answer:

9.625

Step-by-step explanation:

(3 1/2) x (2 3/4) = 9.625

Answer:

.........................

The given equation is:  E=17/20 D  , where  E=amount of Euros and D= amount of U.S dollar.

Now for 1 U.S dollar, we need to plug D=1 into the above equation. So, we will get.........

E=17/20(1)

E=1/20=0.85

0.85 Euros have the same amount as 1 U.S dollar.

Answer:

400 minutes it will take

Answer:

$4.60 and $18.40

Step-by-step explanation:

The total cost of one milk carton is $2.30. I got this by dividing $9.20 by 4. If you multiply $2.30 by 2, you get $4.60. If you multiply $2.30 by 8, you'll get $18.40.

Complete Question

Country financials, a financial services company, uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time. In February 2012, a sample of 1000 adults showed 410 indicating that their financial security was more that fair. In Feb 2010, a sample of 900 adults showed 315 indicating that their financial security was more than fair.

a

State the hypotheses that can be used to test for a significant difference between the population proportions for the two years.

b

What is the sample proportion indicating that their  financial security was more that fair in 2012?In 2010?

c

Conduct the hypothesis test and compute the p-value.At a .05 level of significance what is your conclusion?

Answer:

a

The null hypothesis is  [tex]H_o : p_1 = p_2[/tex]

The  alternative hypothesis is   [tex]H_a : p_1 \ne p_2[/tex]

b

in 2012  [tex]\r p_1 =0.41[/tex]

in 2010  [tex]\r p_2 =0.35[/tex]  

c

The  p-value  is  [tex]p-value = 0.0072 [/tex]

The conclusion is

There is  sufficient evidence to conclude that the proportion of those indicating that  financial security is more fair in Feb 2010 is different from the proportion of  those indicating that financial security is more fair in Feb 2012.

Step-by-step explanation:

From the question we are told that

   The  sample size in 2012 is  [tex]n_1 = 1000[/tex]

    The  number that indicated that their finance was more than fail is  k  =  410  

     The  sample  size in 2010  is  [tex]n_2 = 900[/tex]

   The  number that indicated that their finance was more than fail is  u  =  315

     The  level of significance is  [tex] \alpha  =  0.05[/ex]

The null hypothesis is  [tex]H_o : p_1 = p_2[/tex]

The  alternative hypothesis is   [tex]H_a : p_1 \ne p_2[/tex]

Generally the sample proportion for  2012 is mathematically represented as

     [tex]\r p_1 = \frac{k}{n_1}[/tex]

=>   [tex]\r p_1 = \frac{410}{1000}[/tex]

=>   [tex]\r p_1 =0.41[/tex]

Generally the sample proportion for  2010 is mathematically represented as

      [tex]\r p_2 = \frac{u}{n_2}[/tex]

=>   [tex]\r p_2 = \frac{315}{900}[/tex]

=>   [tex]\r p_2 =0.35[/tex]    

Generally the pooled sample proportion is mathematically represented as

      [tex]\r p = \frac{k + u }{n_1 + n_2}[/tex]

=>     [tex]\r p =  \frac{410 + 315 }{1000+ 900}[/tex]

=>      [tex]\r p = 0.3816 [/tex]

Generally the test statistics is mathematically represented as

     [tex]z = \frac{( \r p_1 - \r p_2 ) - 0}{\sqrt{\r p (1 - \r p ) ( \frac{1}{n_1} +\frac{1}{n_2} )} }[/tex]

 [tex]z = \frac{( 0.41 -0.35 ) - 0}{\sqrt{0.3816 (1 - 0.3816 ) ( \frac{1}{1000} +\frac{1}{900} )} }[/tex]    

 [tex]z = \frac{( 0.41 -0.35 ) - 0}{\sqrt{0.3816 (1 - 0.3816 ) ( \frac{1}{1000} +\frac{1}{900} )} }[/tex]

   [tex]z  =  2.688[/tex]

Generally the p- value  is mathematically represented as  

      [tex]p-value = 2 P(Z >2.688  )[/tex]

From the z -table  

      [tex]P(Z > 2.688) = 0.0036 [/tex]

So  

      [tex]p-value = 2 *0.0036 [/tex]

        [tex]p-value = 0.0072 [/tex]

So from the p-value  obtained we see that p-value  <  [tex]\alpha[/tex] so we reject the null hypothesis

Thus there is  sufficient evidence to conclude that the proportion of financial security is more fair in Feb 2010 is different from the proportion of financial security is more fair in Feb 2012.

Step-by-step explanation:

It is given that,

John ran 3 miles in 25.2 minutes. We can find the speed of john as follows :

Speed = distance/time

v = [tex]\dfrac{3\ \text{miles}}{25.2\ \text{minutes}}=0.1190\ \text{miles/minutes}[/tex]

The equation y = 8.5x, where x represents the number of miles and y represents the total time in minutes, represents this situation. y is proportional to x with constant of proportionality 8.5.

Velocity of John is 0.1190 miles/minute. We can write it in the form of equation as :

y = 0.1190x

In this problem, the constant of proportionality is 0.1190.

Answer: 0.5-2.4x=12.5

Step-by-step explanation:

-2.4(-5)=12

0.5+12=12.5

Answer:

the right answer is 7x+4

Answer:

x = -18

Step-by-step explanation:

Well you just have to do the this formula to find the slope

[tex]\frac{y2 - y1}{x2 - x1}[/tex]  Plug in

[tex]\frac{5 - 12}{x - -4 }[/tex] = [tex]\frac{-7}{?}[/tex]=[tex]\frac{1}{2}[/tex]

So we know x will have to be a negative to get 1/2

I would think x = -18 because -18 - -4 = -14 so it would look like this

[tex]\frac{5 - 12}{-18 - -4}[/tex] = [tex]\frac{-7}{-14}[/tex] =[tex]\frac{1}{2}[/tex]

When you further simplify -7/-14 you get 1/2

Given:

Consider the piecewise function is

[tex]f(x)=\left \{\begin{matrix}x^2+4x,\text{ if } x\leq -1\\ x, \text{ if }-1<x\leq 1\\-1,\text{ if }x>1\end{Matrix}\right.[/tex]

To find:

The value of the function at indicated values.

Solution:

We know that, [tex]-2,-\dfrac{3}{2},-1[/tex] are less than or equal to -1. So, for these values the function is [tex]f(x)=x^2+4x[/tex].

For x=-2,

[tex]f(-2)=(-2)^2+4(-2)[/tex]

[tex]f(-2)=4-8[/tex]

[tex]f(-2)=-4[/tex]

Similarly,

For [tex]x=-\dfrac{3}{2}[/tex].

[tex]f(-\dfrac{3}{2})=(-\dfrac{3}{2})^2+4(-\dfrac{3}{2})=-\dfrac{15}{4}[/tex]

For [tex]x=-1[/tex].

[tex]f(-1)=(-1)^2+4(-1)=-3[/tex]

We know that, 0 is lies between -1 and 1. So, for this values the function is [tex]f(x)=x[/tex].

For x=0,

[tex]f(0)=0[/tex]

We know that, 25 is greater than 1. So, for this values the function is [tex]f(x)=-1[/tex].

For x=25,

[tex]f(25)=-1[/tex]

Therefore, the required values are, [tex]f(-2)=-4, f(-\dfrac{3}{2})=-\dfrac{15}{4},f(-1)=-3,f(0)=0,f(25)=-1[/tex].

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Work Shown:

(f - g)(x) = f(x) - g(x)

(f - g)(x) = ( f(x) ) - ( g(x) )

(f - g)(x) = ( 3^x + 10 ) - ( 2x-4 )

(f - g)(x) = 3^x + 10 - 2x+4

(f - g)(x) = 3^x - 2x + (10+4)

(f - g)(x) = 3^x - 2x + 14