Algebra Write an expression representing the volume of the composite figure
formed by a hemisphere with radius r and a cube with side length 2r.

Answer:

5/9

Step-by-step explanation:

Let the probability of getting a multiple of 3 is "A"

Let the probability of getting an even number is "B"

Total number of outcomes=36

Total number of favourable outcomes of either a multiple of 3 or an even number are

(1,1) ,(1,2) ,(2,1) ,(1,3) ,(3,1) ,(2,2) ,(1,5) (5,1) ,(3,3) ,(2,4) ,(4,2) ,(2,6) ,(6,2) ,(3,5) ,(5,3) ,(4,4) ,(6,4) ,(4,6) ,(5,5) ,(6,6)

That is we have 20 favourable outcomes

Hence, Probability=\frac{\text{favourable outcomes}}{\text{total number of outcomes}}Probability=

total number of outcomes

favourable outcomes

Therefore, after substituting the values we get

probability=\frac{20}{36}probability=

36

20

After simplification we will get

probability=\frac{5}{9}probability=

9

5

Using proportions, it is found that the rate of 31 mills means that their property tax is of 3.1%.

A proportion is a fraction of a total amount.

The Staff family pays a rate of 31 mills in property tax, which means that for each $1000, $31 is paid in tax. Hence the rate is given by:

r = 31/1000 = 3.1/100 = 3.1%.

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Answer:

A=32

Step-by-step explanation:

A=[tex]a^{2}[/tex]

d=[tex]\sqrt{2[/tex] a

A= [tex]\frac{1}{2}[/tex] [tex]d^{2}[/tex] = [tex]\frac{1}{2}[/tex]=·[tex]8^{2}[/tex]=32

Answer:

Step-by-step explanation:

Answer:

84x¹⁰

Step-by-step explanation:

Simplify the radicals by them by 2:

7x²√2x² × 6√2x⁶

When a sqaure root of an expression is multiplied by itself, the result is that expression:

7x² × 2x² × 6x⁶

Now multiply to get: 84x¹⁰

Hope this helps!

Answer:

y=4x-4

Step-by-step explanation:

Hi there!

we are given that a line has a slope of 4 and it contains the point (4, 12)

We want to write the equation of this line in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

As we are already given the slope, we can immediately substitute it into the formula.

Replace m with 4 in y=mx+b:

y=4x+b

Now we need to find b

As the equation passes through the point (4, 12), we can use it to help solve for b

Substitute 4 as x and 12 as y:

12 = 4(4) + b

Multiply

12 = 16 + b

Subtract 16 from both sides

-4 = b

Substitute -4 as b

y = 4x - 4

Hope this helps!

Topic: Finding the equation of the line

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[tex]\text{Given that,}\\\\f(x) = \ln (x^2 - 2x)\\\\f'(x) = \dfrac 1{x^2 -2x} \cdot (2x - 2) = \dfrac{2(x-1)}{x(x-2)}\\\\\\\text{domain f(x): } \{x| x < 0, x > 2 \}[/tex]

Answer:

Gross income

Step-by-step explanation:

the gross income is whatever you earn in total, so that must be it

Answerc

Step-by-step explanation:

simple

Answer: 3

Step-by-step explanation:

Answer:

answer is A

Step-by-step explanation:

it is because an equation simply means it has an equal sign in it, doesn’t matter which variable you use. Since A has an equal sign, it is an equation.

Answer:

160 ounces

Which is 10 pounds

And 4410 chip packets will equal about a ton

Step-by-step explanation:

because 20 x 8 =160

35274/8 = 4409.25

*note 35274 ounces is equal to a ton

Answer:

4000 bags

Step-by-step explanation:

8 x 20 = 160 oz = 10 lb

2,000 lb = 1 ton

16 oz = 1b

2,000 x 16 = 32,000 oz = 1 ton

32,000/8 = 4,000 bags

The surface area of the square pyramid net consisting of a square and four triangles is 380 sq. cm

The surface area of a square pyramid is equal to the sum of the ara of the base square and the four triangle.

Area of the base = 10cm * 10cm

Base area = 100 sq,cm

Find the area of a triangle

Area of triangle = 0.5 * 10 * 14

Area of a triangle = 70 square cm

Area of 4 triangles = 4(70) = 280 sq.cm

SA = 100 + 280

SA = 380 sq. cm

Hence the surface area of the square pyramid net consisting of a square and four triangles is 380 sq. cm

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Answer:

The area is 15 units^2

Step-by-step explanation:

Area = ((a+b)/2) x h

        = ((4+6)/2) x 3

        = ((10)/2) x 3

        = (5) x 3

        = 15 units^2

Answer:I think i remember this i think is A.

Step-by-step explanation:

The value of sec θ is -√2 in the interval 3π/2 < θ < 2π, where θ is the angle whose tangent is -1.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We are given that tan θ = -1, and we need to find the value of sec θ in the interval 3π/2 < θ < 2π.

Since tan θ = -1, we know that θ is in the third quadrant, where both x and y coordinates are negative. In the third quadrant, the reference angle for θ is π - θ, so we have:

tan θ = -1 = tan(-π/4)

π/4 = π - θ

θ = 3π/4

Now, we can use the fact that sec θ is the reciprocal of cos θ, and find cos θ in the third quadrant.

In the third quadrant, cos θ is negative. We can use the Pythagorean identity to find cos θ:

sin²θ + cos²θ = 1

Since sin θ is positive and we know that θ is in the third quadrant, we have:

sin θ = -√(1 - cos²θ)

tan θ = sin θ/cos θ = -1

Substituting sin θ and simplifying, we get:

-√(1 - cos² θ)/cos θ = -1

√(1 - cos² θ) = cos θ

Squaring both sides:

1 - cos²θ = cos²θ

2cos²θ = 1

cos²θ = 1/2

cos θ = -√2/2 (since θ is in the third quadrant)

Finally, we can find sec θ:

sec θ = 1/cos θ = -√2

Therefore, the value of sec θ is -√2 in the interval 3π/2 < θ < 2π, where θ is the angle whose tangent is -1.

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Answer:

Drawing a conclusion means making a state- ment summing up what you have learned from an experiment. 

Step-by-step explanation:

this makes you understand the context or concept better and you may recall that a hypothesis is a possible explanation for a set of observations or answer to a scientific question.

Answer:

Drawing a conclusion means making a state- ment summing up what you have learned from an experiment. The conclusion of an experiment is usually related to the hypothesis. You may recall that a hypothesis is a possible explanation for a set of observations or answer to a scientific question.

Step-by-step explanation:

please consider as brainlest if useful

Answer:

Simone is 16 and Olivia is 12

Step-by-step explanation:

Answer:

x = 24°

Step-by-step explanation:

Here we can see that 120° with the right angle is equal to 180° :

120° + right angle = 180°

then:

right angle = 180° - 120° = 60°

The right angle with 5x angle is equal to 180° too ;

right angle + 5x = 180°

solve for x :

5x = 180° - 60°

x = 24°

That its.

Answer:

Males have a significantly high outlier

Step-by-step explanation:

Answer:

-2<x<2

Step-by-step explanation:

Answer:

decrease because the ratio number is Less so multiply by 156 to each ratio to find your relationship between. hope this helps.

Answer:

12 because it is repeat which means multiple kindergarteners have a size 12 shoe

Step-by-step explanation:

Answer:

t = 74.897 years

(about 74 years 11 months)

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 4/100

r = 0.04 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(16,000.00/800.00) / ( 365 × [ln(1 + 0.04/365)] )

t = ln(16,000.00/800.00) / ( 365 × [ln(1 + 0.00010958904109589)] )

t = 74.897 years

Summary:

The time required to get a total amount of $16,000.00 with compoundeded interest on a principal of $800.00 at an interest rate of 4% per year and compounded 365 times per year is 74.897 years.

(about 74 years 11 months)

Since it wasn't stated howmany times the interest is compunded I took the value of once a year.

Answer:

2nd one dependent

1st one is independent

hope it will help u

Hi!

We can solve this using the Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex] where [tex]a[/tex] and [tex]b[/tex] are the legs and [tex]c[/tex] is the hypotenuse.

Given:

1 leg = 13

2 leg = ???

hypotenuse = 15

Plug the values into the equation above:

[tex]13^2+b^2=15^2[/tex]

Multiply using exponents:

[tex]169+b^2=225[/tex]

Subtract 169 from both sides:

[tex]b^2=56[/tex]

Take the square root of both sides:

[tex]b=[/tex][tex]\sqrt{56}[/tex]

The maximum shower time is an illustration of mean and median, and the conclusion is to disagree with Blake's claim

The question is incomplete, as the dataset (and the data elements) are not given.

So, I will answer this question using the following (assumed) dataset:

Shower time (in minutes): 6, 7, 7, 8, 8, 9, 9, 9, 12, 12, 12, 13, 15,

Calculate the mean:

Mean = Sum/Count

So, we have:

Mean = (6+ 7+ 7+ 8+ 8+ 9+ 9+ 9+ 12+ 12+ 12+ 13+ 15)/13

Mean = 9.8

The median is the middle element.

So, we have:

Median = 9

From the question, we have the following assumptions:

So, the dataset becomes: 6, 7, 7, 8, 8, 9, 9, 9, 10, 10, 10, 10, 10

The mean is:

Mean = (6+ 7+ 7+ 8+ 8+ 9+ 9+ 9+ 10+ 10+ 10+ 10+ 10)/13

Mean = 8.7

The median is the middle element.

So, we have:

Median = 9

From the above computation, we have the following table:

               Initial    Final

Mean         9.8        8.7

Median       9         9

Notice that the mean value changed, but it did not go below 8 as claimed by Blake; while the median remains unchanged.

Hence, the conclusion is to disagree with Blake's claim

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Answer:

The correct Answer is D.Line D.

Hope it helps you Czn.

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