please help asap! i’m confused which proof to use!

The particle's acceleration a increases at a constant rate, so that its average rate of change is equal to its instantaneous rate of change, which is equal to

(4 ft/s² - 1 ft/s²) / (1 s) = 3 ft/s³

The particles starts with acceleration a (0) = 1 ft/s², so we can determine its acceleration at time t by the fundamental theorem of calculus:

a(t) = a (0) + ∫₀ᵗ (3 ft/s³) du

a(t) = 1 ft/s² + (3 ft/s³) t

It also starts from rest, so with initial velocity v (0) = 0. Integrating again gives us the velocity function,

v(t) = v (0) + ∫₀ᵗ a(u) du

v(t) = ∫₀ᵗ (1 ft/s² + (3 ft/s³) u) du

v(t) = (1 ft/s²) t + 1/2 (3 ft/s³) t ²

Taking the particle's initial position to be x (0) = 0, compute the integral again to determine the distance it travels in 1 s:

x(t) = x (0) + ∫₀ᵗ v(u) du

x(t) = ∫₀ᵗ ((1 ft/s²) u + 1/2 (3 ft/s³) u ²) du

x(t) = 1/2 (1 ft/s²) t ² + 1/6 (3 ft/s³) t ³

→   x (1 s) = 1/2 (1 ft/s²) (1 s)² + 1/6 (3 ft/s³) (1 s)³ = 1 ft

Answer:

each dolphins eat 600÷9=66.67

9514 1404 393

Answer:

  (H)  y = 1/3x + 5

Step-by-step explanation:

When x=0, y=5, so you know G is not a possibility.

Y increases at a lower rate than x does. For example, between the first two table entries, x goes up by 6, but y goes up by 2. The only choice with a rate of change less than 1 is ...

  (H)  y = 1/3x + 5

Answer:

6 ONES

Step-by-step explanation:

Answer:

6 ones

Step-by-step explanation:

Answer:

( -1,-2)

Step-by-step explanation:

x + y = -3

x - y = 1

Add the two equations together to eliminate y

x + y = -3

x - y = 1

------------------

2x = -2

Divide by 2

2x/2 = -2/2

x = -1

Now find y

x+y =-3

-1 +y = -3

-1+1 +y = -3+1

y = -2

( -1,-2)

We know the formula,

t =n =ar

n−1

Here n=8

Common ratio =−2 and first term =a=−6

t =8

=(−6)×(−2)

8−1

t =8

Use this formula

=(−6)×(−2)

7 t= 8

=768

Answer:

120 apples and 100 oranges

Step-by-step explanation:

6/11 x 220 = 120 apples

5/11 x 220 = 100 oranges

Answer:

ummmmmmmmmmmmm ok but nice

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

m<B = 115°

Step-by-step explanation:

add <A and <C, then subtract that from 180° to get <B

g(x) = x² - x - 6

so

g (-4) = (-4)² - (-4) - 6 = 16 + 4 - 6 = 14

When g(x) = 6, we have

6 = x² - x - 6

x² - x - 12 = 0

Solve for x. We factorize this easily as

(x - 4) (x + 3) = 0

which gives

x - 4 = 0   or   x + 3 = 0

x = 4   or   x = -3

Answer:

1.21

Step-by-step explanation:

;/

Step-by-step explanation:

y - 1 = -3

x - 0 2

2y - 2 = -3x

2y = -3x + 2

Answer:

3.5 inches on the scaled model

Step-by-step explanation:

So using the ratio, 1:90 I thought of two ways to solve this

1) Proportion

2) Equation

Using the proportion method

1:90=x:315

Now cross multiply

315=90x

Now solve and you’ll get 3.5

Equation is just

315/90=X?

Just solve and you’ll also get 3.5

Answer:

I would say the best answer choice is B.

Answer:a

Step-by-step explanation:

Answer:

it's B

Step-by-step explanation:

i got right on my assessment and because if you look closer when X is in the negative side the line is straight but when the line increases and the x is in the positive side it's curved

when x<0 the graph is linear and when x>0 then the graph is non- linear.

A linear function is one that, when plotted, forms a straight line. Therefore, non-linear functions are all non-linear functions. We can discern if a function is linear or non-linear from its input/output table or equation, but graphing may be the quickest way to do it.

Something that is linear is related to a line. A line is built using all of the linear equations. A non-linear equation is one that cannot be represented by a straight line. It has a variable slope value and resembles a graphed curve.

Given:

We have the graph

From the graph we can see that when x<0 then there linearity or proportionality between x and y.

and, when x>0 then the graph is not a line it is turned out in a curve, which is not linear.

Hence, when x<0 the graph is linear and when x>0 then the graph is non- linear.

Learn more about linear and non linearity in a graph here:

https://brainly.com/question/28393413

#SPJ6

Answer:

The answer is below

Step-by-step explanation:

Given that:

Confidence interval (C) = 99%, mean (μ) = 19.5, standard deviation (σ) = 5.2, sample size (n) = 35

α = 1 - C = 1 - 0.99 = 0.01

α/2 = 0.005

The z score of α/2 (0.005) is the same as the z score 0.495 (0.5 - 0.005) which is equal to 2.576.

The margin of error (E) is given as:

[tex]E=Z_\frac{\alpha}{2}*\frac{\sigma}{\sqrt{n} } \\\\E=2.576*\frac{5.2}{\sqrt{35} } \\\\E=2.264[/tex]

The confidence interval = (μ ± E) = (19.5 ±  2.264) = (17.236, 21.764).

The confidence interval is between 17.236 and 21.764.

Answer:

x = 12.7 or x ≈ 12

Step-by-step explanation:

1.75 + 0.65x = 10

0.65x = 10 - 1.75

0.65x = 8.25

x = 8.25 / 0.65

x = 12.7

x ≈ 12

note: we round it up to 12 and not 13, because Erica does not have enough money for 13 miles

Answer:

166.6% (put a little line over the LAST 6.)

Step-by-step explanation:

Convert the fraction to a decimal, then multiply by 100.

Answer:

60%

Step-by-step explanation:

33×100=3300÷55=60

60%×55=33

Answer:

1- true

2- dairy

3- false

Answer:

Mk! I will when I get my account back!

Step-by-step explanation:

Answer:

Code: Olivia-2.40

Step-by-step explanation:

Given that:

Maggie runs 1/4 of a mile in 1.3 minutes

1/4 can also be written as 0.25

Speed = [tex]\frac{Distance}{Time}[/tex]

Speed = [tex]\frac{0.25}{1.3}[/tex]

Speed of Maggie = 0.19 miles per minute

Speed of Maggie per hour = 0.19*60 = 11.40 miles per hour

Olivia runs 2/3 of a mile in 2.9 minutes

Speed = [tex]\frac{\frac{2}{3}}{2.9}=\frac{2}{2.9*3}[/tex]

Speed = [tex]\frac{2}{8.7}[/tex]

Speed of Olivia = 0.23 miles per minute

Speed of Olivia per hour = 0.23*60 = 13.80 miles per hour

Therefore,

Olivia runs faster.

Difference = 13.80 - 11.40 = 2.40 miles

Hence,

Code: Olivia-2.40

Answer:

Olivia-2.25

If you would like me to explain why, please let me know.

Answer:

Strawberries         Smoothies

28                           4

21                          3

70                      10

Step-by-step explaination

If Maria uses 28 strawberries you would divide that by 7 (since that's how many she uses for one smoothie) after you divide 28 by 7 you get 4, 4 is the number of smoothies 28 strawberries makes.

If Maria makes 3 smoothies you multiple 3 by 7 (since that's how many strawberries she uses to make one) 7 times 3 is 21. If you want to check your work you would divide 21 by 7 (the number of strawberries used for 1 smoothie) and you would get 3.

If Maria uses 70 strawberries you would divide 70 by 7 (the number of strawberries used for 1 smoothie) 70 divided by 7 is 10, 10 is the number of smoothies 70 strawberries make.

Answer:

The roots are 5 and −12

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

first of all 44% of 600 people is equal to 264 .

the statistics is misleading because 264 people can't unless the taxi angecy included themselves