What is the radius of a hemisphere with a volume of 324\text{ ft}^3,324 ft 3 , to the nearest tenth of a foot?

Answer:

well the answer is 45/20  it would be greater than

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

we are given the value of f(x), replace it in the first equation

15 = x - 5

solve for x by adding 5 on both sides

15 + 5 = x

20 = x or x = 20

The value of x is 20.

Given function is,  

                  [tex]f(x)=x-5[/tex]

We have to find the value of x when [tex]f(x)=15[/tex]

                    [tex]x-5=15\\\\x=15+5\\\\x=20[/tex]

The value of x is 20.

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Answer:

yep

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

2x + 6 is equal

hey i dont know it im just doing a glitch right now

Given that,

An oil company fills 1 over 10 of a tank in 1 over 5 hour.

To find,

How long it will take for the tank to fill completely.

Solution,

Let it takes t time to fill the tank completely. It can be calculated as follows :

[tex]t=\dfrac{\dfrac{1}{10}}{\dfrac{1}{5}}\ \text{hours}\\\\=\dfrac{1}{10}\times 5\ \text{hours}[/tex]

Hence, the rate is "1 over 10 • 5 hours ". The correct option is (b).

Answer:

Eq 1) x^2 + x - 6

Factors are : x-2(x+3)

Eq 2) 2x^2 + 4x + 0

Factor out 2x

Factors are: 2x(x+2)

Answer: 2x(to the fourth power) + 6x (to the third power) - 8x (to the second power) - 24x

Step-by-step explanation:

Answer:

I am sorry I just saw the question!

Answer:

a. 754cm³ (3 s.f.)

b. 415cm² (3 s.f.)

Step-by-step explanation:

Formulas (for easier reference):

Volume of cone: [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]

Volume of hemisphere: [tex]\frac{2}{3}[/tex][tex]\pi[/tex]r³

Surface area of cone without base: [tex]\pi[/tex]rl

Surface area of hemisphere without base: 2[tex]\pi[/tex]r²

We can just apply the formulas for the question:

Volume of toy = ([tex]\pi[/tex] × 6² × [tex]\frac{8}{3}[/tex]) + ([tex]\frac{2}{3}[/tex] × [tex]\pi[/tex] 6³)

                        = 96[tex]\pi[/tex] + 144[tex]\pi[/tex]

                        = 240[tex]\pi[/tex]

                        = 754cm³ (3 s.f.)

Surface area of toy = ([tex]\pi[/tex] × 6 × 10) + (2 × [tex]\pi[/tex] × 6²)

                                = 60[tex]\pi[/tex] + 72[tex]\pi[/tex]

                                = 132[tex]\pi[/tex]

                                = 415cm² (3 s.f.)

Answer:

$53.06

Step-by-step explanation:

Answer:

$53.06

Step-by-step explanation:

Answer:

G

Step-by-step explanation:

I think its G because i counted the numbers...and i pretty sure its not a Negative so yah

Answer: 2/3x + 15

Step-by-step explanation:

(⅚x + 10) - (⅙x -5)

The first thing to do here is to open the bracket. This will be:

= ⅚x + 10 - ⅙x + 5

= ⅚x - ⅙x + 10 + 5

= 4/6x + 15

= 2/3x + 15

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

area of rectangle= x ( x +2 ) = 24

X2 + 2X = 24

X 2 +2X _24 = 0

(X +6 ) ( X _4 ) = 0

X= 4

X= - 6.......refused

side length of rectangle is 4 , 6

perimeter= 2( 4+6) = 20 Cm

The side lengths are 4cm , 6cm and perimeter of rectangle is 20cm.

The perimeter of a rectangle is the sum of its four sides. Hence,

Perimeter of Rectangle = 2 (Length + Width) units.

The area of the space occupied within the perimeter of a rectangle is called the area of a rectangle. It is calculated by finding the product of the length and breadth of the rectangle.

Area of rectangle = Length * Breath

According to the question

Area of a rectangle =  24 square centimeters

Side length  = x+ 2

Side Breath  = x  

Now,

a>  using Formula of Area of rectangle

Area of rectangle = Length * Breath

substituting the value

24 = x * (x+2 )

24 = [tex]x^{2} +2x[/tex]

[tex]x^{2} +2x[/tex] - 24 = 0

[tex]x^{2} + (6-4)x -24 =0[/tex]

(x +6 ) (x-4) = 0

x = -6 , +4

side cannot be negative

Therefore

Breath  of rectangle (x) = 4 cm

Length of rectangle (x+2) = 6 cm

b> Perimeter of the rectangle  = 2 (Length + Breath) units.

substituting the value

Perimeter of the rectangle  = 2 ( 4 + 6 )  

                                               = 20 cm

Hence, The side lengths are 4cm , 6cm and perimeter of rectangle is 20cm.

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Answer:

C

Step-by-step explanation:

Ms. Barcht's savings account can be modeled with the expression

50 + 25x

Mrs. Greene's savings account can be modeled with the expression

75x

Since the question is how many weeks Mrs. Greene will have more money than Ms. Bracht. we use an inequality to contain the all the solutions.

Mrs.Greene > Ms. Bracht

75x > 25x + 50

Answer:

The answer would be C. 75x>25x+50

Step-by-step explanation:

The answer would be C. because Ms. Barcht started with $50 and deposits $25 every week while Mrs. Greene saves $75 a week. 7 days is a week so lets multiply $25 x 2 (2 weeks). Ms. Barcht would have $100 by the end of 2 weeks and Mrs. Greene would have $150 by the end of 2 weeks because $75x2 is $150

Hope this helps.

Answer:

Yes

Step-by-step explanation:

87 is higher than 73

For your question: "Last year, Mr. Smith's biology class averaged 73 on their first test. This year, his new class averaged 87 on the

same test. Based on these results, is it reasonable to conclude that this year's class is more intelligent?"

The answer would be E

Answer:

e^5

Step-by-step explanation:

When you multiply with exponents you add ONLY the exponents and multiply the variables    

Answer:

A) 6x + 6y = 24, Yes, they have the same solution set

Step-by-step explanation:

Let's first start by multiplying the equation by 3:

(2*3)x + (2*3)y = 24

6x + 6y = 24

Now lets find the solution set for both:

6y = -6x + 24

y = -x +4

2y = -2x + 8

y = -x +4

Yes, they have the same solution set

Answer:  2 .    5

               6       4

Step-by-step explanation:

The solution is

The equation of sets is given by n(A∪B) = n(A) + n(B) - n(A⋂B)

What is Set Theory Formula?

The set formula is given in general as n(A∪B) = n(A) + n(B) - n(A⋂B), where A and B are two sets and n(A∪B) shows the number of elements present in either A or B and n(A⋂B) shows the number of elements present in both A and B.

Given data ,

Let the equation be represented as A

The value of A is

n(A∪B) = n(A) + n(B) - n(A⋂B)

So , from the given Venn diagram , we get

The number of people who have been to the United States and Australia is given by A = 2

The number of people who have been to Australia and not been to United States is B = 5

The number of people who have not been to Australia but been to United States is C = 6

The number of people who have not been to Australia and not been to United States is D = 4

Hence , the equation is solved by sets

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Answer:

-7n - 3

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define Expression

5n - 3(4n + 1)

Step 2: Simplify

Answer:

1.3x-4∠Y

2.y∠2x+5

3.y≥-2x-6

Answer:

Slope: -1/3

y intercept: -2

Answer:

$9.55

Step-by-step explanation:

152.80/8=19.10-what he makes per hour

19.10/2=9.55 what he makes for half an hour

Answer:

19.1 I think is the answer I am not sure

Step-by-step explanation:

Answer:

7.2 miles

Step-by-step explanation:

Janet hikes a trail 3.6 miles long each day. Considering the forth and back path, she trails 2*3.6= 7.2 miles.

Since she has hiked 5 days in the past week, she has hiked 5*7.2 = 36 miles.

The question does not specify if the path back is to be considered. If not, then the total distance traveled is 3.6*5 = 18 miles.

Answer:

D

Step-by-step explanation:

B and C aren't correct

Answer:

10bags

Step-by-step explanation:

Answer:

10 bags.

Step-by-step explanation:

I got it right on my quiz- Edge2020

Answer:

C

Step-by-step explanation:

"per cent" means out of hundred, so it's 70 out of hundred.

Answer:

7.1 and 7.2

Step-by-step explanation:

if you look on the number line 51 is in between what two numbers

Answer:

Domain → x > 0

Solution → x = 100

Step-by-step explanation:

Given equation is,

[tex]x^{0.5\text{logx}}=0.01x^2[/tex]

Since, log of any number 'x' is defined when x > 0

Therefore, domain of the equation → x > 0

By taking log on both the sides of the equation,

[tex]\text{log}(x^{0.5\text{logx}})=\text{log}(0.01x^2)[/tex]

0.5(logx)(logx) = log(0.01) + log(x²)

0.5(logx)²= -2 + 2log(x)

Let log(x) = a

Then the equation becomes as,

0.5a² = -2 + 2a

0.5a² - 2a + 2 = 0

a² - 4a + 4 = 0

(a - 2)² = 0

a = 2

Since, a = log(x)

log(x) = 2

x = 10²

x = 100

Therefore, solution of the given equation is x = 100.

[tex]\boxed{\boxed{\pink{\tt \leadsto The \ domain \ of \ x \ is \ (0,\infty ). }}}[/tex]

A equation is given to us and need to find the domain of the equation . So , given equation is ,

[tex]\bf\implies x^{0.5\:log\ x } = 0.01x^2 [/tex]

Now , let's simplify this equation to find the domain of x .

[tex]\bf\implies x^{0.5\:log\ x } = 0.01x^2 \\\\\bf\implies x^{0.5\:log\ x } -0.01x^2 =0 \\\\\bf \implies x^{log \:x^{\frac{1}{2}}} - 0.01x^2=0 \\\\\bf\implies x^{log \ \sqrt{x}} - 0.01x^2=0 [/tex]

Now set the argument in log( √x) Greater than or equal to zero to see where the expression is defined. Since the value of log is non - negative.

[tex]\bf\implies \sqrt{x} > 0 \\\\\bf\implies (\sqrt{x})^2>0^2 \\\\\bf\implies x>0\\\\\bf\implies \boxed{\red{\bf x \in ( 0, \infty ) }}[/tex]

In set builder Notation we can write as ,

[tex]\boxed{\red{\bf \{ x | x > 0 \} }}[/tex]