Work out the volume of the prism in cm^3 give your answer correct to 3 significant figures

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The average rate of change per year from 1 to 5 is 8inches

Step-by-step explanation:

Given

[tex]h=t^{2}+2t+10[/tex]

The average rate of change = [tex]\frac{h(5)-h(1)}{5-1}[/tex]

Now h(5)

[tex]\boxed{h(5)=-5^{2}+2(5)+10 }[/tex]

[tex]\boxed{h(5)=25+10+10}[/tex]

[tex]\boxed{h(5)=45}[/tex]

Now, h(1)

[tex]\boxed{h(1)=-1^{2}+2(1)+10}[/tex]

[tex]\boxed{h(1)=1+2+10}[/tex]

[tex]\boxed{h(1)=13}[/tex]

[tex]\boxed{Average~change~rate=\frac{h(5)-h(1)}{5-1} }[/tex]

[tex]\boxed{Average~change~rate=\frac{45-13}{5-1}=\frac{32}{4}=8 }[/tex]

The final answer

The average rate of change per year from 1 to 5 is 8 inches

Hope this helps!

If you have any questions please ask.

Answer:

above is the solution to the question

Using proportions, it is found that 700 students were surveyed in total.

A proportion is a fraction of a total amount.

In this problem, we have that 100 - 47 = 53% of the total number of students had blue as their favorite color, and this amount is of 371, hence:

0.53n = 371

n = 371/0.53

n = 700.

700 students were surveyed in total.

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Answer:

700

Step-by-step explanation:

Answer:

(x+3)(x+4)

Step-by-step explanation:

Given:

→x² + 3x + 4x + 12​

Take common from x² + 3x and 4x + 12​

Now,

[tex]\hookrightarrow x(x+3)+4(x+3)\\[/tex]

Here,

(x+3) can be written as one.

Then,

[tex]\hookrightarrow (x+3)(x+4)\\[/tex]

And it is our answer.

Answer:

[tex]\displaystyle [x + 3][x + 4][/tex]

Explanation:

Find two quantities that when summed to 7, they also multiply to 12. Those will be 4 and 3. Sinse the entire expression is positive, the quantities STAY positive. Moreover, there is not much wourk to be done here BECAUSE the leading coefficient is one. This is all you can do:

[tex]\displaystyle x^2 + 7x + 12 \\ \\ \boxed{[x + 3][x + 4]}[/tex]

I am joyous to assist you at any time.

Answer:

Pretty sure it is A. y = -2x - 1

Step-by-step explanation:

y = mx + b

m is slope

b is y - intercept

y-intercept = point where line intercepts the y - axis. in this graph, it intercepts at (0, -1)

by counting the squares, you see this line has a rate of change of up two left one which is 2/-1 or -2. that is the slope

your photo is super blurry so it's hard to tell, but i'm 99% sure i am correct.

The slope-intercept equation of the line is y=-2x-1. Therefore, option A is the correct answer.

We need to find the slope-intercept equation of the line.

Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.

The coordinates of the line (-1, 1) and (1, -3).

The slope of the equation is [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

Now, m=-3-1/1+1=-2

Substitute m=-2, x=-1 and y=1 in y=mx+b.

That is, 1=-2(-1)+b⇒b=-1

So, y=-2x-1

The slope-intercept equation of the line is y=-2x-1. Therefore, option A is the correct answer.

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Answer:

1*3 = 1+7(3) = 22

5*22 = 5+ 7(22) = 159

159 is your answer.

hope this helps!

The value of expression 5 × ( 1 × 3 ) is, 159.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

⇒ m × n means (m + 7n).

Now, We can find the value of 5 × ( 1 × 3 ) as,

⇒ 5 × ( 1 × 3 )

⇒ 5 × (1 + 7×3)

⇒ 5 × (1 + 21)

⇒ 5 × 22

⇒ 5 + 7 × 22

⇒ 5 + 154

⇒ 159

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Answer:

I think it's 0.927184

Step-by-step explanation:

Rewrite the angle as a sum or difference with its reference angle sin (180 - 68)

Simplify the expression using the general reduction formula sin (68)

Calculate the approximate value

= 0.927184

Answer:

I dont know ur specific question but this is what I got

Answer:

D

Step-by-step explanation:

D on edge

Answer:

39 feet

Step-by-step explanation:

The equation of the path of the book is an upside down parabola.

We can find the x-coordinate of the vertical axis.

The x-coordinate of the maximum point is

x = -b/2a

for a parabola written in the following form

f(x) = ax² + bx + c

We have -16t² + 24t + 30, so we have

a = -16

b = 24

c = 30

t = -b/2a = -24/(2 × (-16)) = -24/(-32) = 0.75

The maximum height occurs at time = 0.75 seconds.

Now we plug in the time into the equation to find the maximum height.

h(x) = -16t² + 24t + 30

h(0.75) = -16(0.75)² + 24(0.75) + 30

h(0.75) = -9 + 18 + 30

h(0.75) = 39

Answer: 39 feet

Answer:100cm

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

Answer:

The no. are 11 and 12

Step-by-step explanation:

n(n+1)=17+5(2n+1)

n^2 +n=17+10n+5

n^2 -9n-22

Splitting the middle term

n^2 -11n+2n -22

n(n-11)+2(n-11)

(n-11)(n+2)

As n cannot ne negative,

n=11 and 12(consecutive no.)

Mark me brainliest!!

The two of the consecutive positive integers whose product is 17 more than 5 times their sum are 11 and 12.

An integer is a complete number, therefore, not including the decimals and fractions. And it that can be either positive, negative, or zero.

Integer examples include -5, 1, 5, 8, 97, and 3,043.

Non-integer numbers include: -1.43, 1 3/4, 3.14, and more.

Let the first of the two consecutive integers be represented by x. Then, the other number can be written as (x+1).

Now, the product and the sum of the two numbers can be written as,

Product = x(x+1) = x² + x

Sum = x + (x+1) = 2x + 1

Further, it is given that the product of two consecutive positive integers is 17 more than 5 times their sum. Therefore, we can write,

x² + x = 17 + 5(2x + 1)

x² + x = 17 + 10x + 5

x² + x - 17 - 10x - 5 = 0

x² - 9x - 22 = 0

x² - 11x + 2x - 22 = 0

x(x - 11) + 2(x - 11) = 0

(x - 11)(x + 2) = 0

x = -2, 11

Thus, there are two numbers that can fulfil the given condition but since it is mentioned that we only need two positive consecutive integers. Therefore, the two numbers are 11 and 12.

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Answer:

7

Step-by-step explanation: please mark brainliest

(5*7)-11=24

Answer:

the y intercept represents the point on the y axis in which the line crosses on a graph.

The answer is: (x-3)(x-1)(x+2)

Because the first term is x^3, it means that there must be 3 independent x's multiplying by each other. From there you just have to est what numbers to pair them with. If that doesn't make sense let me explain more:If you have x^2 it will be:(x + y) (x + z) If you have x^3 it will be: (x + y) (x + z) (x + g) If you have x^4 it will be: (x + y) (x + z) (x + g) (x + f) etc; now all you have to do after you pick which one it matches with, it just find what the value of y, z, and g are through trial and error. I am not showing all my trial and error because it is long to type out, easier to just explain the process.

Answer:

a=5

Step-by-step explanation:

You are adding 5 each time so a would be 5

Answer:

25.3 feet per second

Step-by-step explanation:

First, let's find how much did she go down in those 3 seconds.

266-190=76

Now, let's divide 76 by 3 to find how much did she go down in 1 second

76/3=25 R1

Now, let's change 25 R1 to a Fraction.

25 remainder 1 to fraction will be 25[tex]\frac{1}{3}[/tex]

Now, let's find the decimal answer

25[tex]\frac{1}{3}[/tex] will be 25.33(33333)

Now, let's round our answer to the nearest tenth

25.33

so, 3 is closest to 0 not to 10

So hence, our answer is 25.3

So, the submarines elevation was changing at a rate of 25.3 feet per second

Thanks!

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Answer:

false

Step-by-step explanation:

if x equals 5 then 4 times 5 would equal 20 not 19

Answer:

False

Step-by-step explanation:

Because if we subsitute x as 5.

4x = 19

4(5) = 19

20 = 19

4 times 5 equals 20, not 19. Therefore it is false.

Step-by-step explanation:

I hope you understand...

Answer:

no 8x is the no a questions

Answer:

x3 − 2x + x3  ⇒ cubic

4x2 − 6x − 8x2  ⇒ quadratic

6x − 6 + 6x  ⇒ linear

5 + 4x2 − 4x2 + 5  ⇒ constant

Step-by-step explanation:

For the other question its

Classify each polynomial as a monomial, binomial, or trinomial. Combine like terms first.

x3 + 3x3 + 2x  ⇒ binomial

2x3 + 5x + 3x4 − x  ⇒ trinomial

4x − 5x + x − 2  ⇒ monomial

6x2 + 5 − 2x2 − 9  ⇒ binomial

Answer:

probability Han make a free throw is higher.

explanation:

Therefore, we can determine, the probability Han make a free throw is higher as the percentage of probability is more. 60% > 34.5%

Answer:

1. 12-(-6)+7+(-8)=  17

2. 14+(-6)-(-8)+5=  21

3. -9-8+15+(-3)= ​ -5

hope i helped!

Step-by-step explanation:

Answer:

7 R 95

for this case, how many times does 99 go into 788? 0, because you must convert 78 to the tens place.

78 - 0 = 78

Drop the 8 from the zeros place.

How many times does 99 go into 788? 7(693)

788 - 693 = 95

▬▬In The End▬▬

The answer is 7, because that is the number on top, the result of the division is called the remainder.

Given:

The stand sold 4 cherry snow cones for every 1 lemon snow cone sold.

There were 30 more cherry snow cones than lemon snow cones sold yesterday.

To find:

The number of snow cones which were sold altogether.

Solution:

Let x be the number of lemon snow cone sold.

The stand sold 4 cherry snow cones for every 1 lemon snow cone sold.

So, number of cherry snow cone sold = 4x

There were 30 more cherry snow cones than lemon snow cones sold yesterday.

[tex]4x-x=30[/tex]

[tex]3x=30[/tex]

Divide both sides by 3.

[tex]x=\dfrac{30}{3}[/tex]

[tex]x=10[/tex]

Total number of snow cones sold is

[tex]\text{Total number of snow cones sold }=x + 4x[/tex]

[tex]\text{Total number of snow cones sold }=5x[/tex]

[tex]\text{Total number of snow cones sold }=5(10)[/tex]

[tex]\text{Total number of snow cones sold }=50[/tex]

Therefore, 50 snow cones were sold altogether.

Use mid term splitation

[tex]\\ \rm\rightarrowtail 21x^2-55x+14[/tex]

[tex]\\ \rm\rightarrowtail 21x^2-49x-6x+14[/tex]

[tex]\\ \rm\rightarrowtail 7x(3x-7)-2(3x-7)[/tex]

[tex]\\ \rm\rightarrowtail (7x-2)(3x-7)[/tex]

Done!

Answer:

Step-by-step explanation:

Note the x^2 term, 21 can be divided up into 1,3,7,21

and the constant term, 14 is divisible by 1,2,7

Also, note that -55 = -7*7 - 2*3

Break up 21x^2 into 7x*3x and -55x into -49x - 6x,

21x^2 - 55x + 14

= ((7x*3x) - 49x) - 6x + 14

= 7x*(3x - 7) - 2*(3x -7)

= (7x - 2)*(3x - 7)

Note the rules

The answer is option B