Two cyclists, 68 miles apart, start riding toward each other at the same time. One cycles 3 miles per hour faster than the other, and they meet after 4 hours of riding.

a. Write an equation using the information as it is given above that can be solved to answer this problem. Use the variable r to represent the speed of the slower cyclist. __________________

b. What are the speeds of the two cyclists? __________________

9514 1404 393

Answer:

  D.  12

Step-by-step explanation:

Set x=0 and solve for y.

  0 -1/2y = -6

  y = (-2)(-6) = 12 . . . . . . multiply by -2 to clear the fraction

The y-intercept is 12.

Answer:

tax is 11.50 tax and price is 147

Step-by-step explanation:

you would do 135.50 times 8.25% to find the tax which is estimated to $11.50 if you wanted to find the tax and the price you do $135.50 plus $11.50 which is $147

Answer:

is 4 an option?

Step-by-step explanation:

I think it is 4

Answer:

2/3

Step-by-step explanation:

rise over run

Answer:

The more confident the manager can be that the parameter estimates reflect the true values.

Step-by-step explanation:

Standard error:

The standard error is a parameter that is direct proportional to the margin of error of a confidence interval, that is, the higher the standard error, the higher the margin of error of the confidence interval.

A lower margin of error leads to a more precise interval, thus, a lower standard error will also mean a higher confidence for the estimate, and thus, the correct option is:

The more confident the manager can be that the parameter estimates reflect the true values.

Answer:

[tex]x = 8\tan(50)[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Find x

To find x, we make use of the following trigonometry ratio;

[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]

So, we have:

[tex]\tan(50) = \frac{x}{8}[/tex]

Make x the subject

[tex]x = 8\tan(50)[/tex]

Answer:

the standard error of data set is 2.628

Step-by-step explanation:

Given the data in the question;

set;

x = 9, 13, 21, 30, 31, 31, 34, 25, 28, 20

To get the standard of Error for this data set, we use the formual

S.E = s / √n

First we determine the mean average;

Mean x' = ∑x / n =  ( 9 + 13 + 21 + 30 + 31 + 31 + 34 + 25 + 28 + 20 ) / 10

x' = 242 / 10

Mean x' = 24.2

Next we find the standard deviation s:

x             (x-x')²

9           231.04

13          125.44

21          10.24

30         33.64

31         46.24

31         46.24

34        96.04

25        0.64

28        14.44

20        17.64

Total ∑(x-x')² = 621.6

so Variance = ∑(x-x')² / (n-1) = 621.6 / ( 10 - 1 )  = 621.6 / 9

Variance = 69.0667

Standard deviation S = √Variance

Standard deviation S = √69.0667

Standard deviation S = 8.3106

So we substitute into our formula to get the standard of error;

S.E = 8.3106 / √10

S.E = 2.628

Therefore, the standard error of data set is 2.628

Answer:

2.63

Step-by-step explanation:

Answer:  T=1700

Step-by-step explanation:

Answer:

4.6

Step-by-step explanation:

yes

Answer:

y=25*2ˣ.

Step-by-step explanation:

no details.

Answer:

She must take a sample of 56.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation estimate of 1.90

This means that [tex]\sigma = 1.9[/tex]

Wow large a sample must she take if she wants the margin of error to be under 0.5 inch?

This is n for which M = 0.5. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.5 = 1.96\frac{1.9}{\sqrt{n}}[/tex]

[tex]0.5\sqrt{n} = 1.96*1.9[/tex]

[tex]\sqrt{n} = \frac{1.96*1.9}{0.5}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*1.9}{0.5})^2[/tex]

[tex]n = 55.5[/tex]

Rounding up:

She must take a sample of 56.

Answer:48.013

Step-by-step explanation: just found it

Answer:

There are two solutions for [tex]b[/tex]: [tex]b = + 30\cdot z[/tex], [tex]b = -30\cdot z[/tex]

Step-by-step explanation:

By Algebra, we know that a polynomial is a perfect square trinomial if it is of the form:

[tex]a^{2} + 2\cdot a \cdot c + c^{2} = (a + c)^{2}[/tex] (1)

By direct comparison, we have the following system:

[tex]a^{2} = 25\cdot z^{2}[/tex], [tex]c^{2} = 36[/tex], [tex]2\cdot a \cdot c = b[/tex].

There are two possible solutions for [tex]b[/tex]:

1) [tex]a = \pm 5\cdot z[/tex], [tex]c = \pm 6[/tex], [tex]b = + 30\cdot z[/tex]

2) [tex]a = \pm 5\cdot z[/tex], [tex]c = \mp 6[/tex], [tex]b = -30\cdot z[/tex]

Answer:

b=1/2

Step-by-step explanation:

2logb - 3logb = log8b - log4b

log[tex]b^{2}[/tex] - log[tex]b^{3}[/tex] = log8b - log4b

log([tex]\frac{1}{b}[/tex]) = log(2)

∴1/b = 2

∴b = 1/2

Answer:

y = 2( x+5)^2 -4

Vertex (-5,-4)

directrix  y = -33/8

focus (-5, -31/8)

Step-by-step explanation:

First identify the vertex, which is the minimum

Vertex = (-5,-4)

The vertex form is y = a( x-h)^2 + k

y = a( x- -5)^2 -4

y = a( x+5)^2 -4

We need to determine a

Substitute a point on the graph

(-3,4) is on the graph

4 = a( -3+5)^2 -4

4 = a( 2)^2 -4

4 = 4a -4

Add 4 to each side

8 = 4a

Divide by 4

8/4 = a

a=2

y = 2( x+5)^2 -4

To find the focus and directrix, write in standard form

4p(y-k)=(x-h)^2

y+4 = 2(x+5)^2

1/2 (y+4) = (x+5)^2

4p = 1/2

p = 1/8

The focal length is 1/8

Subtract this from the y coordinate to get the directrix

y = -4 -1/8

y = -32/8 - 1/8 = -33/8

Add this to the y coordinate to get the coordinate for the focus the x coordinate the same

(-5, -4+1/8)

(-5, -32/4+1/8)

(-5, -31/8)

Answer:

B) 24

Step-by-step explanation:

Those are alternate interior angle which mean they are congruent or equal to each other

2x=48 divide

48÷2=24

Answer:

B) 24

step by step:

2x = 48 ( two straight lines are parallel forming and the internal stagger angle is equal)

Answer:

C 14n - 8

Step-by-step explanation:

rectangle area = length×width = 12n²-19n-21

width = 3n-7

what do we need to multiply with width to get the full area expression ?

think : what do we need to multiply with 3n to get 12n² (4n)?

and what to multiply with -7 to get -21 (3)?

=> length = 4n+3

perimeter is 2×length + 2×width

p = 2(3n-7) + 2(4n+3) = 6n-14+8n+6 = 14n-8

Answer:

5(x+2)

Step-by-step explanation:

5x + 10=

Factor out 5

5(x+2)

Answer:

[tex]5(x + 2)[/tex]

Step-by-step explanation:

Get 5 out

[tex]5x + 10 \\ 5(x + 2)[/tex]

Answer:

24

Step-by-step explanation:

betty age = 41 - 17

= 24

Answer:

160 units²

Step-by-step explanation:

Surface area of the square pyramid = a² + 2al

Where,

a = side length of the square = 8

l = slant height of the triangular face = 6

Plug in the values

Surface area of the square pyramid = 8² + 2*8*6

= 64 + 96

= 160 units²

Answer:

whats the question?

Step-by-step explanation:

Answer:

VU,UV, and probably VU just pick 3 answers cause there is 6 questions in all but i hope these answers help u have a nice day too.

Step-by-step explanation:

Answer:

Factorizing 4x2 - 9y2, we get

(2x)2 - (3y)2, by using the identities of a2 - b2.

= (2x + 3y) (2x - 3y)

Step-by-step explanation:

Answer:

26.67

Step-by-step explanation:

Answer:

y = 2/7 x - 51/7

Step-by-step explanation:

Equation of the line

(y-y1)/(y2-y1) = (x-x1)/(x2-x1)

(y-(-7)/(-9-(-7) = (x-1)/(-6-1)

(y+7)/-2 = (x-1)/-7

(-y-7)/2 = (-x+1)/7

-y-7 = -2/7 x + 2/7

-y = -2/7x +2/7 + 7

y = 2/7 x - 2/7 - 7

y = 2/7 x + (-2-49)/7

y = 2/7 x - 51/7

Answer:

C. 84°

Step-by-step explanation:

< AET = 2×48 = 96° , => < MEA = 180-96

= 84°

Answer:

go back in the lesson and relearn this is 6th grade work