GIVING BRAINLIEST TO THE PERSON THAT CAN EXPLAIN THIS THE BEST (:

Step-by-step explanation:

remember. the radius is always half the diameter.

volume of a cylinder

pi × r² × height

pi×7.5²×48 = pi×56.25×48 = 8,482.300165... in³

volume of a sphere

4/3 × pi × r³

and that volume should be the same as the cylinder. so,

4/3 × pi × r³ = pi×56.25×48

4/3 × r³ = 56.25 × 48

1/3 × r³ = 56.25 × 12

r³ = 56.25 × 36 = 7.5² × 6² = (7.5×6)² = 45² = 2025

[tex]r = \sqrt[3]{2025} [/tex]

which would be 12.65148998... in.

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. The account which is earning compount interest will earn $41.19 more on interest.

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

[tex]\text{Simple Interest}= \dfrac{P \times R \times T}{100}[/tex]

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

The interest on account S which earns simple interest at rate of 4.5% can be written as,

[tex]\text{Interest in Account S}= \dfrac{P \times R \times T}{100} = \dfrac{\$400 \times 4.5 \times 10}{100} = $180[/tex]

The interest on accout C which earns compound interest at a rate of 4.5% can be written as,

[tex]\text{Interest in Account C}=P(1+r\%)^n - P\\[/tex]

[tex]\text{Interest in Account C}=\$400(1+4.5\%)^{10} - $400 = $221.19[/tex]

The difference in the amount earned by the two account will be,

[tex]\rm Difference = (Interest\ in\ Account\ C) -(Interest\ in\ Account\ S)[/tex]

                [tex]=\$221.19 - \$180\\\\=\$ 41.19[/tex]

Hence, the account which is earning compount interest will earn $41.19 more on interest.

Learn more about Simple Interest:

https://brainly.com/question/2793278

#SPJ1

Considering the dilation, the surface area of the rectangular prism is of 0.432 units².

The surface area of a rectangular prism of dimensions l, w and h is given by:

Sa = lwh.

In this problem, the dilation means that all dimensions are divided by 5, hence they will be considered as:

w = h = 0.6, l = 1.2.

Hence the surface area of the prism will be of:

Sa = lwh = 1.2 x 0.6 x 0.6 = 0.432 units².

More can be learned about the surface area of a rectangular prism https://brainly.com/question/21208177

The surface area of the solid created upon dilation by a factor of 5 is 2250 unit²

An equation is an expression that shows the relationship between two or more variables and numbers.

The solid below is dilated by a scale factor of 5. Hence:

New length = 6 * 5 = 30, new width = 3 * 5 = 15, new height = 3 * 5 = 15

Surface area = 2(30 * 15 + 30 * 15 + 15 * 15) = 2250 unit²

The surface area of the solid created upon dilation by a factor of 5 is 2250 unit²

Find out more on equation at: https://brainly.com/question/2972832

Answer:

x = 9

Step-by-step explanation:

(7x + 2)

7x can't be added with 2 because 2 has no x

therefor ,

we take x out

X ( 7 + 2 )

so

X = 9

warning :

sory if the answer is wrong

Answer:

[tex]\color{indigo}\rule{1pt}{1000000pt}[/tex]

Answer:

answer a

Step-by-step explanation:

thats rlly the only one that makes sense to me, i really hope this will help <3

The expression that Yuri should write will be t < -3. Then the correct option is C.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The temperature on a winter day was less than –3 degrees Fahrenheit.

Yuri wants to write an inequality for the temperature on the winter day.

Yuri uses the variable t to represent the temperature.

The sign used for less than is " < ".

t < -3

The expression that Yuri should write will be t < -3.

Then the correct option is C.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ5

Well, at first consider the given equation, then will be solving for Part A) and B),

[tex]{:\implies \quad \sf 5+x-14=x-7}[/tex]

Subtracting x from both sides will yield ;

[tex]{:\implies \quad \sf 5-14=-7}[/tex]

[tex]{:\implies \quad \sf -9=-7}[/tex]

But, -9 ≠ -7, so their is no solution for values of x, as -9 can't be equal to -7 , so from definition of algebra, we can say that, their are no solutions for x, as there are no solutions for x, so nothing can be concluded from Part A and Part B

Answer:

Part A: -9 ≠ -7

no solution

Part B: below for the answers

Step-by-step explanation:

Part A: 5 + x - 14 = x - 7

subtract x on both sides

x - 5 + x - 14 = x - 7 - x

then, we take away the x's

5 - 14 = -7

-9 ≠ -7

there is no solution

Part B: 5 + -2 - 14 = -2 - 7

-11 ≠ -9

5 + 0 - 14 = 0 - 7

-9 ≠ -7

5 + 3 - 14 = 3 - 7

-6 ≠ -4

Answer:

11

Step-by-step explanation:

Cancel out 22 and 22.

\frac{\mathrm{d}}{\mathrm{d}x}(x)

dx

d

(x)

The derivative of ax^{n}ax

n

is nax^{n-1}nax

n−1

.

x^{1-1}x

1−1Subtract 11 from 11For any term tt except 00, t^{0}=1t

0

=1.

Answer:

54.96

Step-by-step explanation:

Using the formulas

AL=πrl

l=r2+h2

Solving for AL

AL=πrh2+r2=π·3·52+32≈54.95543

Answer:

[tex]\huge\boxed{\bf\:2 (-a - 6)}[/tex]

Step-by-step explanation:

[tex]6a - 4(2a + 3)\\6a - (4*2a + 4*3)\\6a - (8a + 12)\\6a - 8a - 12\\- 2a - 12\\\boxed{\bf\:2 (-a - 6)}[/tex]

Steps:

[tex]\rule{150pt}{2pt}[/tex]

Answer:

[tex]\Longrightarrow: \boxed{\sf{-2a-12}}[/tex]

Step-by-step explanation:

Use the distributive property.

[tex]\underline{\text{DISTRIBUTIVE PROPERTY:}}\\\\\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]

First, multiply by expand.

⇒ -4(2a+3)

⇒ -4*2a=-8a

⇒ -4*3=-12

⇒ -8a-12

→ 6a-8a-12

Solve.

Add or subtract the numbers from left to right.

⇒ 6a-8a=-2a

= -2a-12

[tex]\Longrightarrow: \boxed{\sf{-2a-12}}[/tex]

I hope this helps! Let me know if you have any questions.

Answer:

2d - 9.

Step-by-step explanation:

That would be

double d = 2d

subtract  9 = -9   to give:

2d - 9.

Answer:

CE = 6

Step-by-step explanation:

we use the proportion relationship:

[tex]\frac{AB}{BD} = \frac{AC}{CE\\}\\then[/tex]

[tex]\frac{2}{3} = \frac{4}{CE}\\\\then[/tex]

2×CE = 3 ×4 (cross multiply)

then

2×CE = 12

then

CE = 12/2 = 6

Answer:

Volume of Cube = length cube

Total surface area=2(lb+lh+bh)

Volume of Cuboid=l×b×h

I think it will help you.

Answer:

  ST = 6

Step-by-step explanation:

The segment sum is ...

  QR +RS +ST = QT

  QR +2 +ST = 10 . . . . use given values

Since R is the midpoint of QS, we know QR = RS = 2. Now, we have ...

  ST = 10 -2 -QR = 10 -2 -2 = 6

The length of ST is 6.

Answer:

210

Step-by-step explanation

One yard is equal to 3 feet so the simplest way is to divide the number of feet by 3 and that will give you your answer.

Answer:

210

Step-by-step explanation:

Answer:

Min is 51 and max is 75 and the the mediem is 63 and the q1 is 54 and q2 is 55 and 57 and q3 is 65 and 69

Step-by-step explanation:

the least is 51 and the most is 75 and the mean is 63 if u list them in order and than u find the quartiles that are between the median and 51 and q3 is between the median and the max.

Answer:

-14x-7y < 4

There is no equals sign so we know that is must be a dotted line

Add 14x to each side

-7y < 14x+4

Divide by -7, remembering to flip the inequality

-7y/-7 > 14/-7 x+4/-7

y > -2x -4/7

Y is greater so we shade above.

Answer: 12

Step-by-step explanation:

[tex]\mathrm{The\:mode\:is\:the\:term\:in\:the\:data\:set\:that\:appears\:the\:most.}[/tex]

[tex]\mathrm{If\:there\:is\:more\:than\:one\:term\:that\:appears\:the\:most,\:then\:there\:is\:no\:mode.}[/tex]

[tex]\mathrm{Count\:the\:number\:of\:times\:each\:element\:appears\:in\:the\:list}[/tex]

[tex]\begin{pmatrix}11&13&14&12\\ 1&2&2&3\end{pmatrix}[/tex]

[tex]\mathrm{The\:most\:common\:element\:in\:the\:list\:is\:12}[/tex]

Answer:

I'm sure It's 12

Step-by-step explanation:

To find the mode, order the numbers lowest to highest and see which number appears the most often.

11, 12, 12, 12, 13, 13, 14, 14

11=1

12=3 is the most common element

13=2

14=2

Answer:

1094.4

Step-by-step explanation:

assuming you want volume

Answer:

$201.6

Step-by-step explanation:

5.60 multiplied by 36 is 201.6

Answer:

$201.60

Step-by-step explanation:

5.6 times 36 = 201.6

Answer: 52 , 36 , 28

I goygot these numbers by following the rule . Each time you divide by 2 so u get the half and then add 10 . I see the numbers are even and they are decreasing so they are getting smaller . Hope it helps

Answer:

the answer is (C) DOL

Step-by-step explanation:

Answer:

9 + x + x + 2 = 29

Step-by-step explanation:

all of the sides added together is 29

so

9 + x + x + 2 = 29

that is your equation

Answer: ...

Ok done. Thank to me :3

[tex]\begin{bmatrix}\frac{1}{6} & \frac{1}{2} & \frac{1}{3} \\ \\ \frac{3}{6}& \frac{2}{6} & \frac{1}{6} \\ \\ \frac{1}{3} & \frac{4}{24} & \frac{1}{2} \\ \end{bmatrix} [/tex]

Explanation:

The magic square is a n×n square which contains different number and sum of all the number of any row or column gives same value.

in any magic square the sum values of all row or column is three time of the number in centre of the square.

in above magic square the middle number is 2/6

so we can calculate the final value by multiplying with 3,

[tex] \frac{2}{6} \times 3 = \frac{2}{ \cancel6}_2 \times \cancel3 = \cancel{\frac{2}{2}} = 1[/tex]

The magic number or sum of any row or column is 1,

using this we can find the missing,

in column first,

1/6 and 1/3 are given and middle term is missing

let the middle term be x now,

[tex]x + \frac{1}{6} + \frac{1}{3} = 1 \\ x = 1 - \frac{1}{6} - \frac{1}{3} \\ x = 1 - ( \frac{3 + 6}{18}) \\ x = 1 - \frac{9}{18} \\ x = \frac{18 - 9}{18} \\ x = \cancel \frac{9}{18} = \frac{1}{2} [/tex]

similarly we can solve for the 3rd fraction of second column,

let the third number be y,

[tex] \frac{3}{ 6} + \frac{2}{6} + y = 1 \\ y = 1 - \frac{3}{ 6} - \frac{2}{6} \\ y = 1 - \frac{5}{6} = \frac{1}{6} [/tex]

Now in first and third row, the third number is missing which can be calculated in same way.

The rough work and final calculation is attached!

Thanks for joining brainly community!

The values of the coefficients and constant are 1, -8 and -5

Standard quadratic equation

The standard quadratic expression is given as:

y = ax^2 + bx + c

where a, b and c are the constant

Given the quadratic function f(p) = p2 – 8p – 5, on comparing:

a = 1

b = -8

c = -5

Hence the values of the coefficients and constant are 1, -8 and -5

Learn more on quadratic functions here: brainly.com/question/1214333

The quotient of (x^5 – 3x^3 – 3x^2 – 10x + 15) and (x^2 – 5) is a  (x^5-3x -3 - 24x/(x²-5)) polynomial.

Quotients are the number that is obtained by dividing one number by another number.

The quotient of (x^5 – 3x^3 – 3x^2 – 10x + 15) and (x^2 – 5) is a polynomial.

(x^5 - 3x³ - 3x² - 10x + 15) / p = x² - 5

p = (x^5 -3x³ - 3x² - 10x + 15)/(x² - 5)

= x^5 -3x - 3 - 24x/(x² - 5)

x^5 3x³ + 15x

x^5 - 3x² - 24x + 15

x^5 - 3x² + 15

0 - 24x + 0

Learn more about quotient ;

https://brainly.com/question/1498111

Answer: C

Step-by-step explanation:

Answer:

30ft³

Step-by-step explanation:

asuming it has the shape of a rectangular prism

formula would be

V=whl

step 1 swap the numbers

V= (2)(5)(3)

step 2 multiply

V= 30

step 3 add the labels

V=30ft³