find the values for a and b.

Answer:81/m^7(D)

Step-by-step explanation:

81m^5/12

81/m^7

Answer:

32

Step-by-step explanation:

every time we are multiplying by -2 so if we do -16 x -2 we will get postive 32

Answer:

36

Step-by-step explanation:

it is a pattern of times -2

Answer:

see explanation

Step-by-step explanation:

(1)

Given

g(r) = (r + 14)² - 49

To obtain the zeros, let g(r) = 0 , that is

(r + 14)² - 49 = 0 ( add 49 to both sides )

(r + 14)² = 49 ( take the square root of both sides )

r + 14 = ± [tex]\sqrt{49}[/tex] = ± 7 ( subtract 14 from both sides )

r = - 14 ± 7, then

r = - 14 - 7 = - 21 ← smaller r

r = - 14 + 7 = - 7 ← larger r

(2)

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

g(r) = (r + 14)² - 49 ← is in vertex form

with vertex = (- 14, - 49 )

Answer:

10x+13y

Step-by-step explanation:

remove parentheses:

2x+3y+8x+10y

add like-terms:

2x+8x+3y+10y

add numbers with the same variables/elements

10x+3y+10y-->10x+13y

hope this helps

Hello!

[tex]\boxed{ \bf The~correct~answer~is~10x~+~13y.}[/tex]

________________________________________________

(2x + 3y) + (8x + 10y)

First, drop the brackets:

2x + 3y + 8x + 10y

Next, collect like terms:

2x + 8x + 3y + 10y

Finally, add the like terms together:

10x + 13y

Answer:

33.7°

Step-by-step explanation:

The smallest angle -> opposite of the smallest side

Smallest side = 10yards

Calling this angle a

we have 10^2 = 15^2 +18^2 -2*15*18*cosa

-> cos a=0.83

cos^-1(a)=0.83 -> a =33.7 degree

Answer:

(cos^2(x)-1) cot (-x); last expression.

Step-by-step explanation:

You'll first need to simplify the given expression. Then look at each option. To find out whether or not two expressions are equivalent see if they have the same value irrespective of the value of the variables in them.

1) (1-cos^2(x)) cot (-x) is equivalent

2) (cos^2(x)-1) cot(x) is equivalent

3) (sin62(x)-10 tan (x) is equivalent

4) (cos^2(x)-1) cot (-x) is not equivalent.

Answer:

Rosa will go farther.

Step-by-step explanation:

1. Samy's travel distance.

3/4 of 20

3/4 * 20 = 15 gallons

15 miles for every gallon

15 * 15 = 225

Samy's travel distance is 225 mIles

2. Rosa travel distance.

13 gallons

19 miles for every gallon

19 * 13 = 247 mIles

Rosa's travel distance is 247 mIles.

Answer:

(7,7)

Step-by-step explanation:

The maximum point in a graph is where the y value is the highest. On this graph, the point (7,7) has the highest y value of 7 of the entire graph, making it the maximum. Hope this helps!

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

[tex]\frac{x}{2}[/tex] + [tex]\frac{y}{2}[/tex] = 1 ( multiply through by 2 to clear the fractions )

x + y = 2 ( subtract x from both sides )

y = - x + 2 ← in slope- intercept form

(a) with slope m = - 1

(b) with y- intercept c = 2

(c)

Parallel lines have equal slopes, thus

y = - x + c ← is the partial equation of PQ

To find c substitute (2, - 8) into the partial equation

- 8 = - 2 + c ⇒ c = - 8 + 2 = - 6

y = - x - 6 ← equation of PQ

To show (- 1, - 5) lies on PQ, substitute x = - 1 into the equation and evaluate for y.

y = - (- 1) - 6 = 1 - 6 = - 5 ← the given y- coordinate

Thus PQ passes through (- 1, - 5 )

Answer:

the last one

Step-by-step explanation:

Answer:

b and d

Step-by-step explanation:

b and d from the picture

same angle of 25 between sides with 1:2 side to base ratio

Answer:

So, the time interval between successive compression from the source is 0.002 seconds.

Step-by-step explanation:

Given that,

Frequency of the tone, f = 500 Hz

It is sitting at a distance of 450 m from the source of sound, d = 450 m

Let t is the time interval between successive compression from the source. We know that the relation between the frequency and the time period is :

[tex]T=\dfrac{1}{f}T=\dfrac{1}{500}\\\\T = 0.002 s[/tex]

Height of table is 18 inches

Height of one block is 2 inches

The height would be 34 inches with 8 blocks ✌️

Answer:

Well each block is 2

Step-by-step explanation:

cause the height of the table is 18 itself it says in the table and one block just adds 2

i hope it's right sorry if it's not

I understand the struggle

Answer:

6.4 × 10^8

Step-by-step explanation:

Answer:

9. y= -2x+6

10. y= -0.4x+ [tex]\frac{1}{3}[/tex]

11. y = -5x+2

12. y=41

13. y=2x+3

14. y= -4x-39

Step-by-step explanation:

9.

y= -2(x-3)

y= -2x+6

10.

12x+30y=10

Subtract 12x from both sides

30y=10-12x

Divide both sides by 30

y= -0.4x+ [tex]\frac{1}{3}[/tex]

11.

y = -5x+2

(Already solved)

12.

y=6+36-1

y=41

13.

y-3=2x

Add 3 to both sides

y=2x+3

14.

y= -3-4(x+9)

y= -3-4x-36

y= -4x-39

Answer: 1

Step-by-step explanation: 1

Length of the shorter piece of board is equals to 5foot.

" Length is defined as the distance between two end points of any object."

According to the question,

Length of the board = 13foot

'l' represents the length of the longer piece

As per the condition given we have,

Length of the shorter piece = [tex]\frac{l}{2} +1[/tex]

Therefore,

[tex]l + \frac{l}{2}+1=13[/tex]

⇒ [tex]\frac{3l}{2} =13-1[/tex]

⇒[tex]l= \frac{2}{3} (12)[/tex]

⇒ [tex]l= 8foot[/tex]

Length of the shorter piece = [tex]\frac{8}{2} +1[/tex]

                                              = [tex]5foot[/tex]

Hence, length of the shorter piece of board is equals to 5foot.

Learn more about length here

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Answer: No, the power multiplied to 8.64 should have an exponent of 0. B pretty much

Step-by-step explanation: just got that question trust me it’s right.

Answer:

No, the power multiplied to 8.64 should have an exponent of 0.

Answer:

20 red tiles

Step-by-step explanation:

14 green tiles,10 red tiles, and 16 blue tiles. = 40 tiles

P(red) = 10/40 = 1/4

If we draw 80 tiles

80 * 1/4 = 20

We should expect 20 red tiles

Answer:

Thw answer would be B

Step-by-step explanation:

Answer:

OB.

The equation that represents this situation is 10+ x=-18. The second number is -28.

Step-by-step explanation:

First, sum means added together.

Second, one value in the sum is given so:

10+(var)=-18

var=8

and if we solve, we get -28.

Answer:

A

Step-by-step explanation:

is the answer because x-x = 0

since -2 is left that's the answer!

Answer:

The size of the population of red squirrels in the UK at the start of 2010 is 3772

Step-by-step explanation:

At the start of 2016 , No. of squirrels = 10000

The rate of decrease is 15% per year.

So, No. of squirrels after x years = [tex]10000(1-0.15)^x[/tex]

We are supposed to find the size of the population of red squirrels in the UK at the start of 2010.

So,No. of squirrels after 6 years = [tex]10000(1-0.15)^6=3771.49[/tex]

Hence the size of the population of red squirrels in the UK at the start of 2010 is 3772

Answer:

Step-by-step explanation:

The population in 2016 is 10,000 but we re trying to find the population in 2010.

Let the start population be P.

Then P*(1-0.15)^6 = 10000

P*(0.85)^6 = 10000

P = 10000 / (0.85)^6

P = 26514.6834

In 2010 :

P = 26500 to 3 significant figures

For friend 1, the relative frequency is [tex]\frac{25}{71}\approx 0.352.[/tex]

For friend 2, it's [tex]\frac{53}{71}\approx 0.746,[/tex] and for friend 3, it's [tex]\frac{23}{71}\approx 0.319.[/tex]

Combining the data of all three would give a relative frequency of [tex]\frac{101}{213}\approx 0.474.[/tex]

If each friend were to flip a coin 710 times, assuming the coin to be a fair coin, we'd expect about half of the flips to be heads, so the relative frequency would be close to 0.5.

Answer:

24 cubic inches.

Step-by-step explanation:

[tex]2a \times a^{2} +a^{3} \\2a^{3} +a^{3}[/tex]

[tex]3a^3\\3(2)^3\\3 \times 8[/tex]

Answer:

65

145=145

thats the answer

Answer:

[tex]-2n+14[/tex]

[tex]-5n+30[/tex]

Step-by-step explanation:

-2 difference.

[tex]u_{n} =-2n+c[/tex]

[tex]u_{1} =-2(1)+c=12[/tex]

[tex]c=14[/tex]

-5 difference.

[tex]u_{n} =-5n+c[/tex]

[tex]u_{1} =-5(1)+c=25[/tex]

[tex]c=30[/tex]

Answer:

5 ft

Step-by-step explanation:

Answer:

If the y-intercept is 0, then this graph passes through [3,-2][6,-4][9,-6] and so forth.

Step-by-step explanation:

Rise over run, 3 is the rise, and -2 is the run. Using this you can find any point on the line up to infinity.

Answer:

it passes through y intercept

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120 yd^3

Step-by-step explanation:

The formula for the volume of a pyramid is...

[tex]V=\frac{1}{3}Bh[/tex]

B is the area of the base and h is the height from the middle of the pyramid to the top. Since we know both of these we can plug them in.

[tex]V=\frac{1}{3}(45*8)[/tex]

[tex]V=\frac{1}{3}*360[/tex]

[tex]V=[/tex]

120

The volume for the pyramid is 120 yd^3.

Answer:

120 yards ^3

Step-by-step explanation:

To solve we need to know the formula.

The formula for the volume of a pyramid is  1/3 B * H

B= 45 and H = 8. We can sub those values in to the formula to solve.

= 1/3 45*8

= 1/3 360

=120

Since we multiplied yd^2 by yd, we get yd^3

So the answer is 120 yd^3