The dimensions of a cylindrical water tank are shown below.
18 yd
o
58,320 yd
3,240 yd
60 yd
O
19,440 yd
15,270 yd3

Which of the following is the best estimate of the volume of
this water tank?

Answer:

p=1

Step-by-step explanation:

Answer:

y = 2x + 5

Step-by-step explanation:

To find the slope given a table of x and y coordinates, you use the point-slope formula, which is  y2 - y1 divided by x2 - x1. It's generally easier if you find a slope that doesn't have negative numbers involved.

In this case, you take the last two sets of ordered pairs (4,13) and (2,9) and plug those into the formula.

(13-9) / (4-2)

This gives you 4 / 2, which can be reduced to 2. So that means your slope is 2. This number represents the m variable in the slope-intercept equation.

Next, take the slope-intercept equation (y=mx+b) and plug in your slope value, and use one of the ordered pairs to discover the y-intercept (value b).

In this case, we'll pick the ordered pair of (4, 13) - x=4, y=13

the equation would be: 13 = 2(4) + b

13 = 8 + b

b = 5

Now that you have the slope (m) and y-intercept (b), you can write the equation as y = 2x + 5

Hope this helps!

Answer:

Area of circle-area of square= blue region area

A= pi r^2

=pi  x 8.5^2

=226.980069222 or 227

A=  l^2

= 12^2

= 144

227-144= 83

Area of blue is 83 cm^2

Answer:

5

Step-by-step explanation:

Answer:

its A

Step-by-step explanation: i passed the test

Answer: D

Step-by-step explanation:

Answer:

35+14=7(5+2) , so you have the alternative way of computing the sum.

49=7(7)

Answer:

35+14=7(5+2)

Step-by-step explanation:

Answer:

A. 12.51

Step-by-step explanation:

I had it on a test.

Answer:

B. -2x + 5

Step-by-step explanation:

First, distribute the 3 and 2 to the parentheses:

3(2x + 1) - 2(4x - 1)

6x + 3 - 8x + 2

Add like terms:

-2x + 5

So, the simplified expression is -2x + 5

B is the correct answer

Answer:

it is B

Step-by-step explanation:

3*2x=6x

2*4x=8x

1*3=3

1*2=2

6x-8x= -2x

3+2=5

i got the +2 because there are two negative signs and that makes it positive

Answer:

I think C but then again I could be wrong.

Answer:

16 People have 2 pieces of gum

Answer:

Initial value = 4

Growth factor = 1.6

Step-by-step explanation:

Function representing the exponential growth is given by,

f(x) = Initial value(1 + growth rate)ˣ

Here x = time or duration for growth

(1 + growth rate) = Growth factor

Given function is,

f(x) = 4(1.6)ˣ

By comparing both the functions,

Initial value = 4

Growth factor = 1.6

Answer:

see explanation

Step-by-step explanation:

If ∠ D ≡ ∠ CED then CD ≡ CE

The base angles theorem states that if the sides of a triangle are congruent, that is isosceles triangle the the angles opposite these sides, the base angles, are equal.

Here we are using the converse of base angle theorem (b)

That is if 2 angles are congruent ( base angles ) then the sides opposite these angles are congruent.

Answer:

Step-by-step explanation:

The base angles theorem converse states if two angles in a triangle are congruent, then the sides opposite those angles are also congruent.

Answer:

A and E

Step-by-step explanation:

Plug 5 in for m in every equation, and see if the math works.

A.

[tex]m-1=4\\5-1=4\\\\[/tex]

A - works

B.

[tex]m+4=20\\5+4=9[/tex]

B - does not work

C.

[tex]m-3=8\\5-3=2[/tex]

C - does not work

D.

[tex]22+m=25\\22+5=27[/tex]

D - does not work

E.

[tex]12=m+7\\12=5+7[/tex]

E - works

Answer:

A and E just to make it quick hope this helps

Step-by-step explanation:

Answer: C. The solution set is x is less than -18, the circle is open; and the graph (line) moves to the left.

Step-by-step explanation:

1. x < (-4) -14 (subtract 4 from each side, then add)

2. x < -18

Answer:

[tex] \tan(30°) = \frac{12}{r} \\ \frac{1}{ \sqrt{3} } = \frac{12}{r} \\ \boxed{r = 12 \sqrt{3} }[/tex]

and,

[tex] \sin(30°) = \frac{12}{t} \\ \frac{1}{2} = \frac{12}{t} \\ \boxed{t = 24}[/tex]

Answer:

230

Step-by-step explanation:

Add the other angles for a total of 130 degrees there is a total of 360 degrees in the interior angle of a quadrilateral subtract 130 from 360.

Answer:

m< CDF = 58°

Step-by-step explanation:

Key skills needed: Congruent Triangles

1) We can use Triangle Congruence Rules to prove that Triangle EDF and Triangle CDF are congruent triangles.

2) Since both triangles have 1 right angle, they are both triangle triangles.

3) Both triangles share the same hypotenuse (DF)

Also, it gives us EF is 36, and FC is 36 --> This means that EF ≅ FC

Since both are Right Triangles, we can use Right Triangle HL Congruence to prove it

HL means Hypotenuse-Leg

This rule can only be applied to right angle triangles. In order to use this rule, a hypotenuse and a leg of the triangles need to proven congruent.

4) Since ΔEDF ≅  ΔCDF with Right triangle HL, we can say that < CDF is congruent to < EDF. These are corresponding parts of the triangle.

--> To say that < CDF is congruent to < EDF, we can use the theorem:

If Δs are ≅, then all corresponding parts are ≅.

5) Therefore, <CDF ≅ <EDF (which means the measures of the angles are the same value)

Since <EDF is 58°, <CDF would also be 58°

Hope you understood and have a nice day!! :D

Answer:

The total amount accrued, principal plus interest, from simple interest on a principal of $60.00 at a rate of 5% per year for 12 years is $96.

Step-by-step explanation:

Given

Principle P = $60

Rate r = 5% = 5/100 = 0.05

Time period t = 12 years

To determine

New Balance A = ?

Using the formula

A = P(1 + rt)

A = 60(1+(0.05×12))

A = $96.00

Therefore, the total amount accrued, principal plus interest, from simple interest on a principal of $60.00 at a rate of 5% per year for 12 years is $96.

Answer:

[tex]T_n = 3T_{n-1}[/tex]

Step-by-step explanation:

Given

[tex]T_1 = 8[/tex] -- First term

[tex]r = 3[/tex] --- rate

Required

Determine the recursive term

We have:

[tex]T_1 = 8[/tex]

The second term to the nth term is:

[tex]T_2 = T_1 * 3 = 8 * 3 = 24[/tex]

[tex]T_3 = T_2 * 3 = 24 * 3 = 72[/tex]

[tex]T_4 = T_3 * 3 = 72 * 3 = 216[/tex]

Using the above yardstick:

[tex]T_n = T_{n-1} * 3[/tex]

[tex]T_n = 3T_{n-1}[/tex]

Answer:

4.Let the required function be denoted by f(n) , where n denotes the nth day after Alex started a new social media account.

On day 1, the number of Alex’s followers is 8. Hence f(1) = 8.

Subsequently, the number of Alex’s followers tripled every day. Hence f(n) = 3f(n-1) when n > 1.

Thus, the recursive function is

f(1) = 8

f(n) = 3 f(n-1) if n > 1.

Option D is the correct answer.

Step-by-step explanation:

Answer:

○ [tex]\displaystyle One\:relative\:maximum\:(-1, 8)\:and\:one\:relative\:minimum\:(2, -4)[/tex]

Step-by-step explanation:

The minimum is the lowest possible point a certain graph touches, while the maximum is the highest possible point a certain graph touches.

I am joyous to assist you at any time.

Answer:

Step-by-step explanation:

FYI 7 over 2 (negative) is -3.5 on that number line, and since you want go to a number greater than -3/2, which is -1.5, now that we know our decimals, 1., it makes this easier and 2, now we make our inequality and solve it. Here we just do -3.5<x, and if you need to do it on the number line start from -7/2 and then go to -3/2 and draw an arrow, and the circle has to be an O not a black dot because it isnt greater/less than OR equal to.

Answer:

99

Step-by-step explanation:

2+5, ∈ℤ

=2+7+12+⋯+97

This is AP with =2,=5,

th term is given by =+(−1)

97=2+(−1)5⟹=20

So sum of such integers,

20=202(2+97)=990

The sum of whole number that are less than 100 and leave reminder 2 when divided by 5​ is 990.

A series in which the differences between each pair of following terms are the same is known as an arithmetic progression.

An arithmetic progression is a sequence in which every phrase—aside from the initial term—is created by multiplying the previous term by a predetermined amount.

Given:

We have to find the sum of number that are less than 100 and leave reminder 2 when divided by 5​

So, we get the sequence

2, 7, 12, ................97

=2+7+12+⋯+97

This is AP with =2,=5,

So, l= a+( n-1)

97= 2+ (n-1)(5)

95 = 5(n-1)

n-1 = 95/5

n-1 = 19

n= 19 + 1

n=20

Now, the sum is

[tex]S_{20}[/tex] = 20/2( 2 x 2+ (20 - 1 )(5))

     = 10( 4 + 19(5)

     = 10 (99)

     = 990

Hence, the sum is 990.

Learn more about Arithmetic Progression here:

https://brainly.com/question/16947807

#SPJ2

y=x+3

hope this helps!

Answer:

5,290 repersent the distence that the jaquar jumped . and ran.

Step-by-step explanation:

pleas mark brainist plz happy to help

Answer:

[tex]\displaystyle 40[/tex]

Step-by-step explanation:

This is an isosceles triangle, therefore you must double up DA to get 40.

I am joyous to assist you at any time.

Answer:

The set of coefficients asociated with the given polynomial in ascending order is [tex][C] = \{4,0,5\sqrt{3}\}[/tex].

Step-by-step explanation:

Let [tex]y = 5\sqrt{3}\cdot x^{2}+4[/tex], which is a polynomic function, defined as:

[tex]y = \Sigma_{i=0}^{n}c_{i}\cdot x^{i}[/tex] (1)

Where:

[tex]c_{i}[/tex] - i-th Coefficient.

[tex]x^{i}[/tex] - i-th Power.

[tex]n[/tex] - Grade of the polynomial.

We notice that given polynomial has degree 2 and can be rewritten by applying this definition:

[tex]y = 4 + 0\cdot x + 5\sqrt{3}\cdot x^{2}[/tex]

Then, the set of coefficients asociated with the given polynomial in ascending order is:

[tex][C] = \{4,0,5\sqrt{3}\}[/tex]

Answer:

first box (x): 10

second box (y): 12

Step-by-step explanation:

HIJ is a translation of HIJ

translation just means you move the whole thing without any rotations dialations ect just moving it

from the blue shape it is asking what do you have to do to the x and y to get to the purple shape

you have to go +_x and take away _y

when you add a digit to x it moves to the right

when you add a digit to y it goes one up

because the HIJ are equaly spaced it dosnt matter which one we choose cause it will have the same answer

im going to use J

on the blue J you can see the x value is -8

the purple J's value is 5

to get from -5 to 5 you add 10

-5+5=0

0+5=5

5+5=10

therefore the first box (x) is 10

same thing for the y value im going to use J again

blue y value of J is 7

purple y value of J is -5

their distance is 12

7-7=0

0-5=-5

7+5=12

second box (y) is 12

i hope this helps

Answer:

note: there may be other possible explanations and more body systems can be involved and I can go into much greater detail

1: Nervous system signals your muscles in mouth to abduct and adduct as well as your salivary glands to produce saliva to break down the food, as well as prepare the stomach to digest the food

2: Muscular system moves muscles in mouth to break food down into smaller pieces so there is greater surface area for digestive enzymes to work on the food, then muscles in oesophagus move food to stomach, where stomach muscles churn the broken down food around to speed up digestion

3: Digestive system releases numerous digestive enzymes into the food to break down lipids, carbohydrates and proteins. Small intestines absorb nutrients into bloodstream, and large intestine absorbs water.

4: Excretory system removes excess mostly dry waste through the anus as well as urine from ureter.