The table shows the distance Penelope is from the park as she walks to soccer practice. Assume the relationship between the two quantities is linear. Find and interpret the rate of change and initial value. Then write the equation of the function in the form y=mx+b

-- help me

Answer:

D

Step-by-step explanation:

There are 4 queens out of 52 cards in a deck. Therefore, if each card has the same probability of getting chosen, you have a 4/52 = 0.077 chance of drawing a queen because there are (4 favorable outcomes/queens) / (52 total outcomes)

Answer:

Step-by-step explanation:

Remark

A good thing to understand is that when a whole number and a fraction are multiplied, the method is the same as multiplying 2 fractions. What that means is make the whole number into the numerator of a fraction and put a 1 where the denominator should be.

Solution

4/1 * 2/3 = 4*2 / 1 * 3 = 8/3

Answer:

7.75 is the the correct answer

[tex]\underline{\underline{\large\bf{Given:-}}}[/tex]

[tex]\red{\leadsto}\:[/tex][tex]\textsf{} [/tex][tex]\sf Endpoints \:of \: line \: segment \:are \:(-8,7) [/tex]

[tex]\sf and \:(6,4) [/tex]

[tex]\underline{\underline{\large\bf{To Find:-}}}[/tex]

[tex]\orange{\leadsto}\:[/tex][tex]\textsf{Length of the line} [/tex][tex]\sf [/tex]

[tex]\\[/tex]

[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]

>>Let us consider these points on a line segment AB such that point A and B lies on opposite ends

[tex] \\A( - 8,7) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: B(6,4)\\ \bull \frac{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }{} \bull \\[/tex]

We will find distance between points by distance formula-

[tex]\red{\underline{\boxed{\sf{Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}}}}[/tex]

Here-

Putting Values:-

[tex]\begin{gathered}\\\longrightarrow\quad \sf AB = \sqrt{(6 - (-8)) ^{2} + (4-7) ^{2} } \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\longrightarrow\quad \sf \sqrt{(6+8)^2 + (-3)^2} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\longrightarrow\quad \sf \sqrt{14^2+ (-3)^2 } \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\longrightarrow\quad \sf \sqrt{196+ 9 } \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\longrightarrow\quad \sf \sqrt{205} \\\end{gathered} [/tex]

[tex]\longrightarrow \sf length \:of \: the \: line \:segment \:whose \: \: [/tex]

[tex]\sf endpoints \;are \: (-8,7) \:and \:(6,4) \:is \: \sqrt{205} \;units [/tex]

Answer:

The total number of 3-digit numbers that can be formed = 2 × 2 × 2 = 8

1. 444

2. 445

3. 454

4. 455

5. 544

6. 545

7. 554

8. 555

Sum of all these numbers: 3,996

Answer:

The numbers that are greater than - 2 qnd less than 3 are:

-1,0,1&2

Answer:

49 ft.

Step-by-step explanation:

Since the figure is a rectangle, the length of the top of the figure is the same as that of the bottom. Thus, we can form an equation which we can later use to find the value of x.

4x +3= 16

Minus 3 on both sides:

4x= 16 -3

4x= 13

Divide by 4 on both sides:

x= 13 ÷4

x= 3.25

Breadth of rectangle

= 2x +2

= 2(3.25) +2

= 6.5 +2

= 8.5

Perimeter of rectangle

= 2(length +breadth)

= 2(16 +8.5)

= 2(24.5)

= 49 ft.

Answer:

x = 8

each side is 74

Step-by-step explanation:

set two sides equal to each other

see image

Answer:

  c║d by Converse of Corresponding Angles postulate

Step-by-step explanation:

Line 'a' is not shown as having any relationship to anything. It can be removed from the picture, and all answer choices involving line 'a' can be ignored.

Line 'b' crosses two lines (c and d), so can be considered their transversal. The marked angles are not all between c and d, nor are they all outside of c and d, so they are neither "interior" nor "exterior." Eliminating the obviously incorrect choices leaves only c║d and the choice of the Corresponding Angles postulate or its Converse.

The Corresponding Angles postulate tells you that corresponding angles are congruent where a transversal crosses parallel lines. Its Converse tells you the lines are parallel if the corresponding angles are congruent. Here, we're given angles and asked about the lines being parallel. Clearly, the applicable postulate is ...

  c║d by Converse of Corresponding Angles Postulate

Step-by-step explanation:

In the given figure,

Base(b)= 6cm

Height (h)= 8 cm

We know that,

[tex]area \: of \: a \: triangle \\ = \frac{1}{2} \times b \times h \\ = \frac{1}{2} \times 6 \times 8 \\ = \frac{48}{2} \\ = 24 \: cm ^{2} [/tex]

Hence, the are of the given figure is 24 cm².

Answer:

what is the question?

Step-by-step explanation:

B / 2 siblings

Step-by-step explanation:

edge 22 , hope it helped

The mean number of siblings for the population rounded to the nearest unit is 2.

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

Gien data is:-

3, 2, 0, 1, 0, 2, 3, 4, 1, 2, 2, 1

The mean will be calculated as:-

Mean = ( 3 + 2 + 0 + 1 + 0 + 2 + 3 + 4 + 1 + 2 + 2 + 1 ) / 12

Mean  = 21  /  12

Mean = 1.75

Mean = 2

Therefore the mean number of siblings for the population rounded to the nearest unit is 2.

To know more about mean follow

https://brainly.com/question/968894

#SPJ2

Answer:

0.18km

Step-by-step explanation:

Lateral Surface Area = 2πrh

= 2 × 22 × 21 × 75

7

= 9900m^2

Area taken by revolution = 9900 × 800

= 7920000m^2

= 7.92 km^2

breadth = 7.92km^2 ÷ 44

= 0.18km

Answer:

(B) 0.9688

Step-by-step explanation:

mark me brainliest!!

First 14% of 16$

[tex]\\ \rm{:}\dashrightarrow 0.14(16)=2.24[/tex]

New wage:-

Answer:

HJ

Step-by-step explanation:

For a line to be perpendicular to another line, you must find the negative reciprocal.

The negative reciprocal of 1/2 is -2.

The only line with a slope of -2 is line HJ because it goes down 2 for every 1 to the right.

Answer:

line HJ on edge

Step-by-step explanation:

The number of days for both Companies to have the same total amount is

6.4 days

Given Data

Company A

y = 57x+ 32 -----------------1

Company B

y = 62x + 0-----------------2

Equating 1 and 2 we have

57x+ 32 = 62x+ 0

Solving for x we have

62x-57x = 32

5x = 32

Divide both sides by 5

x = 32/5

x = 6.4 days

Learn more about word problem here:

https://brainly.com/question/13818690

answer 7.5 I hope was not too late

Answer:

$41 cents

Step-by-step explanation:

$8 divided by $3.35 equals $0.41 cents

Answer:

There is a 55% chance that it won't rain.

Answer is on the picture

Answer:

Step-by-step explanation:

Answer: 25%

Step-by-step explanation:

As you can see 8/32 simplified would be 1/4 which would be 1/4 and 1/4 is equal to 25%!

Answer:a minimum of 15 weeks to about 30 weeks.

Step-by-step explanation:

Answer: 285.7L

Step-by-step explanation:

Tank initially had 500L of water.

On Monday a third leaked out, therefore:

Amount of water that leaked = 500L x 1/3 = 166.6667 = 166.7L

Remaining water after Monday leak = 500-166.7 = 333.3333 = 333.3L

On Tuesday a seventh of the remaining water (333.3L) leaked out, therefore:

Amount of water that leaked: (333.3333) x 1/7 = 47.6190 =47.6L

Water left after both leaks =500L - (166.6667 + 47.6190)L = 500L - 214.2857L = 285.7143L = 285.7L.

OR Water left = 333.3333L - 47.6190L = 285.7143L = 285.7L

A) If the current market interest rate is 6.5%, you should not buy the bond because the present value of the bond is $905.97, which is less than the current price of $940.

B) Assuming you buy and hold this bond for 5 years, the price you must sell the bond to earn a 7% rate of return on this investment is $938.50.

The price of a bond can be determined by calculating the present value of the cash flows till maturity through discounting.

The present value can be computed using the present value formula or table.  It can also be determined using an online finance calculator as follows:

a. If the current market interest rate is 6.5%. Should you buy the bond? Why or why not?

N (# of periods) = 15 years

I/Y (Interest per year) = 6.5%

Coupon interest rate = 5.5%

PMT (Periodic Payment) = $55

FV (Future Value) = $1,000

Results:

PV = $905.97

Sum of all periodic payments = $825 ($55 x 15)

Total Interest = $919.03

b. Assuming you buy and hold this bond for 5 years. What price must you sell the bond for if you want to earn a 7% rate of return on this investment?

N (# of periods) = 5 years

I/Y (Desired Interest per year) = 7%

Coupon interest rate = 5.5%

PMT (Periodic Payment) = $55

FV (Future Value) = $1,000

Results:

PV = $938.50

Sum of all periodic payments = $275 ($55 x 5)

Total Interest = $336.50

Learn more about calculating the present values at https://brainly.com/question/20813161

Answer:

18

Step-by-step explanation:

12 / 4 = 3

4.5 / 1.5 = 3

6.75 / 2.25 = 3

in conc we can see that 3 is most obviously the "scale factor" (id/k what else to call it)

6 x 3 = 18

Answer:

D) $18

Step-by-step explanation:

12 / 4 = 3

4.50 / 1.5 = 3

6.75 / 2.25 = 3

6 x 3 = $18

Answer:

3/4 is 45 min, cause a quarter of an hour is 15 min. 6-9=-3 so you basically do Noon subtracted by another 3 hours which is 9am , then subtract those 45 min.

6pm - 6hours = 12pm

(Noon) 12 pm - 3 hours =9 am, then 45 min

9am - 45 min

8:15 am

Answer:

1.9453125 = 1.945

Step-by-step explanation:

Divide 747 by 384

Answer is 1.9453125

Look at the number to the right of the thousandths place.  

Its 3.

3 is less than 5

drop the 3 and all numbers after.

Answer:

c. The solution to a system of equations is the point or points where they intersect