f(x)={x+4….
for f(x)

The unit rate of the distance covered per unit stride taken is; 3.5 ft per stride.

From the given table and graph, we see that;

Number of strides taken is on the x-axis.

Distance covered for each respective number of strides is on the y-axis.

Now, the rate will be;

Rate = Change in Distance covered/Change in number of strides

Thus;

Rate = (14 - 7)/(4 - 2)

Rate = 7/2

Rate = 3.5 ft per strides

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Answer:

Oliver’s table indicates that for every increase of 2 strides, the distance he travels increases by 7 feet. So, the change in distance divided by the change in stride gives the unit rate.

Step-by-step explanation:

Answer:

Q9: C.

Since each smaller line counts as 1/5, you can simply start from the point 1 and count 3 times to reach D.

[tex]3*\frac{1}{5} =\frac{3}{5}[/tex]

Since you started at 1, you can add [tex]1+\frac{3}{5} =1\frac{3}{5}[/tex]

Q10: B

We can subtract/ignore 3 from all of them to make things simpler.

Now, we need to find the lowest value to greatest from:

[tex]\frac{5}{8}, \frac{7}{16} ,\frac{1}{2}[/tex]

In order to compare these, we make the denominators the same (in this case: 16)

[tex]\frac{5}{8} =\frac{5*2}{8*2} =\frac{10}{16}[/tex]

[tex]\frac{7}{16} =\frac{7}{16}[/tex]

[tex]\frac{1}{2} =\frac{1*8}{2*8} =\frac{8}{16}[/tex]

Since 7 is the smallest value, followed by 8 and lastly 10,

the smallest to greatest in order would be

[tex]\frac{7}{16} ,\frac{1}{2} ,\frac{5}{8}[/tex] (B)

11: C

If you look at both [tex]\frac{2}{4}[/tex] and [tex]\frac{5}{8}[/tex], they are not directly above one another. Hence, they are not equal.

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, - 3 ) and (x₂, y₂ ) = (2, 5 ) ← 2 points on the line

m = [tex]\frac{5-(-3)}{2-(-2)}[/tex] = [tex]\frac{5+3}{2+2}[/tex] = [tex]\frac{8}{4}[/tex] = 2

==========================================

Work Shown:

old side length = 2x

new side length = 2*(old side length) = 2*2x = 4x

For any cube, the length, width and height are all the same. So L = W = H.

volume = L*W*H

volume = L*L*L

volume = L^3

volume = (4x)^3

volume = 4^3*x^3

volume = 64x^3

Answer:

-53

Step-by-step explanation:

(x+2)

x^4 =       -2^4 = 16

15x^3 =     15* (-2)^3 = -120

6x^2 =       6(-2^2) = 24

12x =        12*(-2) = -24

substitute into equation:

x^4 + 15x^3 + 6x^2 - 12x + 3 = 16+ (-120) + 24 - (-24) + 3 = -53

Given Polynomial is x^4 +15x^3 +6x^2 - 12x +3

Divisor = x+2

We know that

Remainder Theorem:

Let P(x) be a polynomial of the degree is greater than or equal to 1 and (x-a) is another linear polynomial,If P(x) is divided by (x-a) then remainder is P(a).

So, P(x) is divided by (x+2) then the remainder is P(-2).

P(-2) =

⇛(-2)^4+15(-2)^3+6(-2)^2-12(-6)+3

⇛ 16+15(-8)+6(4)+72+3

⇛16-120+24+72+3

⇛ 67-120

⇛ -53

P(-2) = -53

Answer:- The remainder is -53.

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The remainder obtained when x^4 + 3x^2 - 2x + 2 is divided by (x + b) is the square of the remainder obtained when x^2 – 3 is divided by (x + b...

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Answer:

y = -3x + -9/6

-9/6 simplified as -3/2

Answer:

zero slope

Step-by-step explanation:

horizontal lines are zero slope because they are not slanted (slope)

this is a horizontal line.

Answer:

10?

Step-by-step explanation:

it is either 10x or 100x :)) can i get brainliest? hope ur having a good day btw :DD

The place value of 2 will be 100 times greater than before.

Place value is a numerical value that every digit in a number has based on its position.

For example; in a number 2398, the place value of 3 is 300, as it is placed at hundredth place.

Given that, A whole number has a 2 in the tens place. If the 2 were moved from the tens place to the thousands place,

At tens place, the value of a number will multiplied by 10 as it is at tenth place,

At tens place = 20

Similarly,

At thousand place, the value of a number will multiplied by 100 as it is at thousand place,

At thousand place = 2000

2000 / 20 = 100

Hence, the value of 2 will be 100 times greater than before.

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[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

let's evaluate ~

Therefore , the correct choice is ~ A

Answer:

Step-by-step explanation:

Answer:

[tex]a_{n}[/tex] = 3n + 3

Step-by-step explanation:

The sequence is arithmetic with explicit formula

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

From the recursive formula

a₁ = 6 and d = 3 [ the constant being added to A(n - 1) ] , then

[tex]a_{n}[/tex] = 6 + 3(n - 1) = 6 + 3n - 3 = 3n + 3

Answer:

8/5

Step-by-step explanation:

hope this helps :D

Answer:

Option B is correct.

Step-by-step explanation:

Our expression is:

Let's check all of our options to see if any option is accurate.

Option A:

(n + 8)(n + 11)

=> n² + 11n + 8n + 88

=> n² + 19n + 88

n² + 19n + 88 ≠ n² + 26n + 88

Option B:

(n + 4)(n + 22)

=> n² + 22n + 4n + 88

=> n² + 26n + 88

=> n² + 26n + 88 = n² + 26n + 88 ✔

Option C:

(n + 4)(n + 24)

=> n² + 24n + 4n + 96

=> n² + 28n + 96

=> n² + 28n + 96 ≠ n² + 26n + 88

Option D:

(n + 8)(n + 18)

=> n² + 18n + 8n + 144

=> n² + 26n + 144

=> n² + 26n + 144 ≠ n² + 26n + 88

Conclusion:

So, after working on this problem, we can conclude that Option B is our answer. Hoped this helped

Answer:

B

Step-by-step explanation:

edge 22'

Answer:

I’m pretty sure it’s the bottom one

Step-by-step explanation:

Answer:

8 * 6 * 2 = 96

Step-by-step explanation:

It's a multiplication problem. 8 * 6 = 48 * 2 = 96

The rectangular prism is 96m.

Answer:

Step-by-step explanation:

Convert mixed fraction to improper fraction.

Find LCM of the denominators and find equivalent fraction.

Now, subtract

[tex]7\dfrac{2}{9}=\dfrac{(7*9)+2}{9}=\dfrac{63+2}{9}=\dfrac{65}{9}[/tex]

[tex]5\dfrac{1}{5}=\dfrac{26}{5}[/tex]

LCM of 9 and 5 = 45

[tex]\dfrac{65}{9}*\dfrac{5}{5}=\dfrac{325}{45}[/tex]

[tex]\dfrac{26}{5}*\dfrac{9}{9}=\dfrac{234}{45}[/tex]

[tex]7\dfrac{2}{9}- 5\dfrac{1}{5}=\dfrac{65}{9}-\dfrac{26}{5}\\\\ =\dfrac{65*5}{9*5}-\dfrac{26*9}{5*9}\\\\\\=\dfrac{325}{45}-\dfrac{234}{45}\\\\\\=\dfrac{325-234}{45}\\\\\\=\dfrac{91}{45}\\\\\\=2\dfrac{1}{45}[/tex]

The value of the given functions as listed are 30.09 degrees, 86.16 degrees, 38.12 degrees, and 83.83degrees

Given the following expression

sin x = 0.5015

Taking the inverse of both sides

sin⁻¹(sinx) = sin⁻¹0.5015

x = sin⁻¹0.5015

x = 30.09 degrees

For the cos function

cos⁻¹(cosx) = cos⁻¹0.5015

x = cos⁻¹0.0670

x = 86.16 degrees

For the tan function

tan⁻¹(tanx) = tan⁻¹0.5015

x = tan⁻¹0.5015

x =38.12 degrees

For the tan function

tan⁻¹(tanx) = tan⁻¹9.254

x = tan⁻¹9.254

x =  83.83degrees

Hence the value of the given functions as listed are 30.09 degrees, 86.16 degrees, 38.12 degrees, and 83.83degrees

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The speed of the car is 41.7 m/s when the power is 1890 watts.

Proportion is defined as an equation on which two or more ratios are made to be equal to each other.

It is given that the power, P is proportional to square of the Speed,s.

If P ∝ s², then P = k s², for some constant k.

When s = 45 m/s, P = 2200 watts

k = P / s² = 2200 / 45² = 1.086

∴ when P = 1890 watts,

1890 = 1.086 × s²

s² = 1740.331

s = 41.717 ≈ 41.7 m/s

Hence, if power is proportional to the square of the speed, then, the speed of the car engine is 41.7 m/s if the power is 1890 watts.

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Answer: 8 for 1/2 gallon, 16 for a gallon

Step-by-step explanation:

Using the findings from a qualitative study to develop a new quantitative survey is known as mixed integration.

Mixed integration is called the data collection and information classification system that includes both qualitative and quantitative processes as access mechanism to said data and information, that is, performing a mixed or dual analysis of the concepts being studied.

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Answer:

25 seconds

Step-by-step explanation:

Two methods:

1)  Calculate Tyana's speed in m/sec:  4m/5sec = 0.8 m/sec.  Now find the number of seconds, x, needed to travel 20 meters:

 x*(0.8 m/sec) = 20 m

x = 20 m/(0.8 m/sec)

x = 25 seconds

2)  Do a proportion.  If Tyana can swim 4 meters in 5 sec, then she can do 8 meters in 10 seconds.  That also then means 16 meters in 20 seconds.  Another 5 seconds adds another 4 meters, for a total of  20 meters in 25 seconds.

Answer:

c. is correct

Step-by-step explanation:

hipe its attachments

Answer:

P is the incorrect answer

Step-by-step explanation:

how many cups of water do you need to fill fill one jar

Answer:

1. 3rd

2. 3rd

3. 1st

4. 1st

Answer:

no

Step-by-step explanation:

1. is right

2. is third-person

3. is right

4. is right

Answer:

7%

Step-by-step explanation:

5 years= $1,400

1 year= 1,400/5= 280

$280 is ?% of $4,000

(280/4000)*100

so, 7%

Hope this helps!