Simplify the following:
3c² + 30²

Answer:

a) 63.8 in³

Step-by-step explanation:

so the cylinder is 12 inches high

πr²h = π(1.25)²(12) = 58.90 in³

cone is 3 inches high

1/3πr²h =  = 1/3π(1.25)²(3) = 4.91 in³

58.90 + 4.91 = 63.81 in³

Answer:

63.8 in

Step-by-step explanation:

the formula of te volume of the cone is : πr²h/3

the height of te cone is the height of the tip

V=π(1.25)² * 3/3

V1=4.91( rounded to the nearest hundredth)

volume of the cylinder =πr²h ( the height of cylinder=25-3=23)

V2=π(1.25)²*12

V2=58.90

V1+V2=4.91 +58.90=63.81 ≅63.8

Answer:

b

Step-by-step explanation:

Answer:

[tex]\huge\boxed{25\%}[/tex]

Step-by-step explanation:

Previous Price = 2000

Current = 2500

Increase:

=> 2500 - 2000

=> 500

%age change:

=> [tex]\frac{500}{2000} * 100 \%[/tex]

=> ( 5 * 5 ) %

=> 25%

Answer:

Step-by-step explanation:

To find the percentage change we use the formula

To find the change subtract the lesser one from the larger one

Original price = 2000

Final price = 2500

Change = 2500 - 2000 = 500

So the percentage change is

We have the final answer

Hope this helps you

Answer:

D. The slope of the line is 23. This means that the value of the stock increases $23 for each additional month since purchase.

Step-by-step explanation:

In the basic equation y = mx + b, m is the slope. In this situation, 23 is the slope because it is the coefficient.

42 is not the slope because it is the y-intercept.

D is the correct answer because the slope is 23, which means in this situation that the stock's value increases by $23 for each additional month after the purchase.

Answer:

D.

Step-by-step explanation:

The slope is the coefficient of n ( the month) which is 23.

This means the stock increases each month by a factor of 23.

Answer: Answer is in the step.

Step-by-step explanation:

The student made a mistake by identifying the maximum point by the x coordinate value of the vertex. Minimum or maximum points are determine using the y coordinate value.The student can determine the difference between a maximum and minimum by identifying the y coordinate of the vertex.

Answer:

No, because 7/8=0.875, which is not greater than 1.

Answer:

f(-9) = 279

Step-by-step explanation:

f(x) = 4x^2 + 7x + 18

f(-9) = 4(-9)^2 +7(-9) + 18

       = 4(81) - 63 + 18

       = 324 - 63 + 18

       = 279

Answer:

x = 7.5

Step-by-step explanation:

We see that in order to find x, we need to use tangent, which is opposite over adjacent.

Step 1: Set up equation

tan37° = x/10

Step 2: Multiply 10 on both sides

10tan37° = x

Step 3: Evaluate

x = 7.53554

Step 4: Round

x = 7.5

Answer:

137

Step-by-step explanation:

the way to get it is that part that looks like a square inside the triangle is 90 so when you finish getting all the sides the answer will give you 137

Answer:

Step-by-step explanation:

Area of a rectangle = l × w

where

l is the length

w is the width

From the question

Area = 308 m²

The length of a rectangle is 6 meters less than twice its width is written as

l = 2w - 6

Substitute this into the above formula and solve for the width

We have

308 = (2w - 6)w

2w² - 6w = 308

2w² - 6w - 308 = 0

Divide both sides by 2

We have

w² - 3w - 154 = 0

( w + 11)( w - 14) = 0

w + 11 = 0 w - 14 = 0

w = - 11 w = 14

Since the width cannot be negative

w = 14

Substitute w = 14 into l = 2w - 6

That's

l = 14(2) - 6

l = 28 - 6

l = 22

Therefore

length = 22cm

width = 14cm

Hope this helps you

Answer:

The answer is

Step-by-step explanation:

To solve the radicals make sure that they both have the same radical

That's

Simplify 3√28 in order to combine the radicals

We have

So we now have

Using the rules of surds

That's

Simplify the expression

We have

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

[tex]4\sqrt{7}+3\sqrt{28}=4\sqrt{7}+3\sqrt{2*2*7}\\\\\\ =4\sqrt{7}+3*2\sqrt{7}\\\\\\= 4\sqrt{7}+6\sqrt{7}\\\\\\=(4+6)\sqrt{7}\\\\\\ =10\sqrt{7}[/tex]

Answer:

x = 18/25

Step-by-step explanation:

(4/5)² = 2x - 4/5

16/25 = 2x - 4/5

16/25 = 2x - 20/25

36/25 = 2x

x = 18/25

Answer:

x= 18/25

Step-by-step explanation:

Answer:

f-9=12 Answer=20

24=g+14 Answer=10

Step-by-step explanation:

take the numbers you already have, let's start with the first equation:

f-9=12

find out what they are when you put them together

12+9=f

f=20

Second equation:

24=g+14

do the same, except subtract this time

24-14=g

g=10

Hope this helps (:

hope this helps! Its the answer key to something almost exact

The size of the crowd that is 10 feet deep on ONE side of the street along a 1-mile section of a parade route is 25344 option (A) 25344 is correct.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

12 people fit comfortably in a 5 by 5 feet area.

Let x be the size of a crowd that is 10 feet deep on ONE side of the street along a 1-mile section of a parade route.

The fractions:

12/25 = x/(5280×10)

After cross multiplication:

25x = 633600

x = 633600/25

x = 25344

Thus, the size of the crowd that is 10 feet deep on ONE side of the street along a 1-mile section of a parade route is 25344 option (A) 25344 is correct.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

Answer:add 3

Step-by-step explanation:

Answer: True

Step-by-step explanation: The altitude of an isosceles triangle can be drawn from the vertex angle and be proven to be a median

Answer: [tex]17[/tex]

Subtract

[tex]-5-(-11)=6[/tex]

Subtract

[tex]6-(-11)=17[/tex]

Answer:

[tex]\Large \boxed{17}[/tex]

Step-by-step explanation:

-5-(-11)-(-11)

=17

This is one way to do this;

1. => (-5−-11)−(0−11)

=> 6−(0−11)

=>6−-11

=17

Another way to do this;

First remove the parentheses.

-5+11+11

And than simplify.

6+11

=17

Answer;17

Answer:

x = -1, 2

Step-by-step explanation:

Step 1: Write out equation

(x - 2)(3x + 3) = 0

Step 2: Solve each individual root

x - 2 = 0

x = 2

3x + 3 = 0

3x = -3

x = -1

Step 3: Arrange from least to greatest

-1 < 2

So x = -1, 2

Answer:

x = -1    x = 2

Step-by-step explanation:

(x-2)(3x+3)=0

Using the zero product property

x-2 =0    3x+3 =0

x=2       3x = -3

             x = -3/3

             x = -1

Answer:

4 hours 7 minutes

Step-by-step explanation:

Since Trevon takes 10 hours to clean the attic, he cleans 1/10, 10% or .1 of the attic per hour. Since Cody takes 7 hours to clean the attic, he cleans 1/7, 14.3% or .143 of the attic per hour.

Together, that means they clean .1 + .143 of the attic per hour. That's an hourly rate of:

.1 + .143 = .243

The portion of the attic they clean in x hours is .243x. We'd like to know how long it will take them to clean 100% or 1 of the attic. So:

.243x = 1   Divide each side by .243

x = 1/.243

x ≈ 4.115

Let's convert .115 to minutes by multiplying by 60

.115 * 60 = 6.9 round to 7 for 7 minutes

It will take them around 4 hours 7 minutes to clean the attic.

Answer:

1) 30%, 50%, 10%

2) x = 24

Step-by-step explanation:

Hey there!

1) "MATHMATICS"

a) Vowels - a, e, i, o, u

This is 3/10 of the letters meaning pulling a vowel is 30%.

b) Constants - B, C, D, F, G, H, J, K, L, M, N, P, Q, R, S, T, V, X, Z

Well there are 5 constants in mathematics so the percent is 50%.

c) Letter "m"

The letter m is 1/10 meaning pulling the letter m is a 10%.

2) 8 added to twice a number gives 40. Find the number

Well lets set u an equation,

8 + x + 8 = 40

16 + x = 40

-16

x = 24

Hope this helps :)

Answer:

In bold.

Step-by-step explanation:

1.

There are a total of 11 letters in the bag including 4 vowels, 7 consonants.

The letter m appears  twice in mathematics.

(a) Probability(getting a vowel) = 4/11.

(b)  Probability(getting a consonant) = 7/11.

(c)  Probability(getting a letter m) = 2/11.

2.  

Let the number be n, then:

8 + 2n = 40

2n = 32

n = 16.

Answer:

2.14285714286 or 2 1/7 gummy bears

Step-by-step explanation:

15/7=2.14285714286 or 2 1/7

Answer:

Hello! Answer below, with an picture too :)

Step-by-step explanation:

:::::: [tex]2[/tex] [tex]1/7[/tex]

The answer is 2 1/7 or 2 R 1

Steps:

So we do 15 divided by 7.

[tex]\sqrt[7]{15}[/tex]

***********************************

0 2

....................

7 ⟌ 1 5

- 0

.............

1 5

- 1 4

.............

1

Steps below in the picture, too!

By:✨RobloxYt✨

(Picture attached)

Answer:

17

Step-by-step explanation:

3x + 2y = 3(3) + 2(4) = 9 + 8 = 17

Answer:

[tex]\huge\boxed{17}[/tex]

Step-by-step explanation:

[tex]3x+2y\\\\\text{When: }\boxed{x=3; y=4}\\\\3(3)+2(4)\\\\3*3+2*4\\\\9+8\\\\\boxed{17}[/tex]

Answer:

x^2 +14x+49

Step-by-step explanation:

Area = length * width

        = ( x+7) * ( x+7)

       FOIL

    first: x^2

    outer: 7x

   inner: 7x

    last: 7*7 = 49

Add them together

x^2 +7x+7x + 49

Combine like terms

x^2 +14x+49

Answer:

only (12) has a linear pair

Step-by-step explanation:

Recall that for two angles to be called a "Linear Pair", they need to satisfy several conditions:

1) The two lines must intersect at a shared point (i.e common vertex)

2) The two angles must be adjacent (i.e immediately next to one another)

3) The two angles must add up to 180 degrees.

In our case,

in (9), the angles are not adjacent and  they do not add up to 180 deg, so this is NOT a linear pair

in (10), the angles are not adjacent and they do not add up to 180 deg, so this is NOT a linear pair

in (11), the lines do not intersect at a shared point(they do not have a common vertex). Plus we cannot be 100% sure that they add up to 180 deg. Hence this is not a linear pari

in (12), we can see that the angles satisfy all 3 conditions above. This is a linear pair.

Answer:

[tex]\approx \bold{44\ or\ 45}[/tex]

Step-by-step explanation:

Given

Diameter of spherical metal ball = 400 mm = 40 cm

Radius of spherical metal ball = 20 cm

Volume of a sphere is given as:

[tex]V_{Sphere} = \dfrac{4}{3}\pi r^3[/tex]

[tex]\Rightarrow \dfrac{4}3 \times 3.14 \times 20 ^3 = 33493.33 \ cm^3[/tex]

Dimensions of metal doorstops = 15 cm by 10 cm by 5 cm

It is of cuboid shape.

Volume of a cuboid is given as:

[tex]V_{Cuboid} = l \times b\times h = 15 \times 10 \times 5 = 750\ cm^3[/tex]

Number of such doorsteps that can be made from the metal ball is equal to Volume of metal ball divided by volume of metal doorstep.

[tex]\dfrac{33493.33}{750} \approx \bold{44\ or\ 45}[/tex]

Answer:

1/7

Step-by-step explanation:

If one child was born on a Monday, then we don't have to consider that when solving the question, as it asks if both children were born on a Monday.

Thus, we only need to find the probability that the second child is born on a Monday. Since there are 7 days in a week and equally likely that the child is born on any day, then the probability of the child being born on a Monday would be 1/7.

Answer:

7

Step-by-step explanation:

Prime factors of 4732:

As we see if we remove 7 from the factors list, we get the perfect square of 2²×13²= 26²

So the number by which 4732 should be divided is 7

Answer:

[tex]\Large \boxed{\mathrm{Water}}[/tex]

Step-by-step explanation:

Hydrogen and oxygen are elements that form the compound known as water.

Water comes pouring out, it drips, it dribbles, and it comes from a spout.

Answer:

Water

Step-by-step explanation:

Most of the water in our world is a combination of "ordinary" hydrogen atoms with "ordinary" oxygen atoms, but there are actually three different istopes (atomic varieties) of hydrogen and each of those can combine with oxygen to give a different kind of water.

If deuterium (hydrogen whose atoms contain one neutron and one proton instead of just one proton by itself) combines with oxygen, we get something called heavy water, which is about 10% heavier than normal water.

Similarly, tritium (hydrogen with two neutrons and one proton) can combine with oxygen to make something called super heavy water.

Water comes pouring out it drips and it dribbles and it comes from a spout​.