What is the volume of the solid hemisphere?

Answer:

∠ R = 35° , ∠ T = 45°

Step-by-step explanation:

since the triangles are similar then corresponding angles are congruent, so

∠ R = ∠ U = 35°

∠ T = ∠ Q = 45°

The exponential equation that matches the number of zombies after 6 hours is the possible option;

Z = 14 × 4⁶

An exponential equation is one in which the argument is an index or power of a constant.

The initial number in the group of zombies = 14

The amount by which the group increases every hour = The group quadruples every hour

The required equation; The equation that matches the number of zombies after 6 hours

The information in the question indicates that the sequence is a exponential, which can be presented using the following equation;

Z = a·rⁿ

Where;

Z = The number of zombies after n hours

a = The first term = The initial number of zombies in the group = 14

r = The common ratio = The amount that multiplies members of the group every hour = 4

n = The number of hours after which the number in the group is evaluated

Therefore, after 6 hours, n = 6, and we get;

a₆ = 14 × 4⁶ = 14 × 4⁵ = 14336

The equation from the possible options, obtained from a similar question posted online, that matches the number of zombies after 6 hours is therefore;

Z = 14 × 4⁶

The possible options are;

Z = 4·(14)⁶

Z = 4·(1 + 14)⁶

Z = 14·(1 + 4)⁶

Z = 14·(4)⁶

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Answer:

the Annual percentage rate of shondra loan is 104.28%

Step-by-step explanation:

Given that

The borrowed amount is $200

The finance charge is $12

And, the term of the loan is 21 days

We need to find out the APR of the loan

so,

= (($12 ÷ $200) × 365) ÷ 21 × 100

= 104.28%

hence, the Annual percentage rate of shondra loan is 104.28%

Answer:

Combine like terms:

10y2 + 5ab

Step-by-step explanation:

Is your simplified algebraic expression.

Answer:

Solve the equation  

x2−(3+1)x+3=0

by the method of completing the square. i dont know if its right

Step-by-step explanation:

Answer:

[tex]7.8(sin23^o)[/tex]

Step-by-step explanation:

[tex]Sin23=\frac{opp}{hyp}[/tex]

[tex]Sin23=\frac{BC}{7.8}[/tex]

[tex]0.3907=\frac{BC}{7.8}[/tex]

[tex]BC=3.04746[/tex]

----------------------

hope it helps...

have a great day!!

Answer:

D. Last one

Step-by-step explanation:

the 5 and the 3 in the parenthesis is the price for the large toy car while being added to the price of the small toy car outside the parenthesis equaling to the total price

Answer:

C , THE THIRD ONE

$18.00

Step-by-step explanation:

5×3=15

$3+$15=$18

Answer: the answer is the option

Employee B: gross pay $32,900, total job benefits $34,000

hope this helped you

Answer:

The fixed cost to insure jewellery is $0.602.

Step-by-step explanation:

We can use the information provided to set up a system of two equations in two variables, and then use the system to solve for the fixed cost of insuring the jewellery. Let x be the fixed cost and y be the percentage of the value of the jewellery. Then we can write the following two equations:

1000x + 1000y = 32 (1) (cost equation for insuring $1000 worth of jewellery)

3500x + 3500y = 44.5 (2) (cost equation for insuring $3500 worth of jewellery)

We can use either of these equation to solve for the fixed cost(x), to do that we can first solve for y from either of the equation, and then substitute it in other equation.

From equation (1)

y = (32 - 1000x) / 1000

then substitute this in equation (2)

3500x + 3500((32-1000x) / 1000) = 44.5

3500x + 32 - 3500x =44.5 - (1000x)

-20x = -12.05

x = 0.602 $

So, the fixed cost to insure jewellery is $0.602.

That means you have to pay $0.602 as a fixed cost, in addition to 0.01(y) as a percentage of the value of jewellery to insure it.

Answer:

5  % per hour

Step-by-step explanation:

Pick two of the grid points the line seems to go through.  I'm using (0, 50) and (4, 70).

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{70-50}{4-0}=\frac{20}{4}=5[/tex]

Answer:

Hello! answer: 30

Step-by-step explanation:

32 × 30 = 960 HOPE THAT HELPS!

Answer: A

Step-by-step explanation:

Based on the graph, we know that it is negative if it is under the x-axis. It is also indicated by the negative labels.

A: correct

Looking at choice A, it says the interval is from -4<x<-2. This means we have to find x=-4 and x=-2. On the graph, that interval is below the x-axis, so it is negative.

B: incorrect

Looking at choice B, it says the interval is from -1<x<1. This means we have to find x=-1 and x=1. On the graph, that interval is above the x-axis, so it is positive, not negative.

C: incorrect

Looking at choice C, it says the interval is from 2<x<4. This means we have to find x=2 and x=4. On the graph, that interval is above the x-axis, so it is positive, not negative.

Therefore, A is the correct answer.

Answer:

B

Step-by-step explanation:

Answer:

The answer is 28.26 hope that helps

Answer:

x = 6

Step-by-step explanation:

(2×/×+3)- (×/×-3)=(3÷3-×)​

2x/x+3-x/x+3= 1-x

2 + 3 - 1 + 3 - 1 = x

8-2 = x

x = 6

Answer:

Maksim's answer and explanation are not correct

The actual domain is 2 < x < Infinity

Step-by-step explanation:

The domain of a function is the set that is made up of the possible inputs of the function

The given function is f(x) = √(x - 2)

Maksim's response for the domain of f(x) is x ∈ R ('x' is a member of the set of all real numbers

The function is not defined when x < 2, at which the expression, x - 2, will become negative, and for which the square root of the negative number is imaginary

Therefore, the domain for which the function is defined is all real numbers larger than 2, which can be presented as follows;

The domain of f(x) = 2 < x < ∞

Therefore Maksim is wrong as the actual domain is limited to 2 < x < ∞.

A given set of expressions are known as equivalent expression if and only if the result after evaluating those expression is the same number.

Example,

3 + 2 = 5

4 + 1 =  5

5 + 0 = 5

These three are equivalent as because the sum of all of them is same , i.e., 5.

An equivalent expression is an expression which consists of variables, coefficients, constants, and mathematical functions such as addition, subtraction, multiplication, and division.

In general, if two objects are identical, they are then called as identical.

These expressions are also known as duplicates of each other though they look different but they are same.

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Answer:

D. 90

Step-by-step explanation:

If a triangle is inscribed inside of a circle, using the diameter as the hypotenuse, then the opposite angle of the hypotenuse is equal to 90 °

Because ΔABC is inscribed inside of the circle using the diameter it is a right triangle.

∠ABC is the angle opposite of the diameter therefore ∠ABC = 90°

The total number of cookies baker sold in all are 350 cookies.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, sugar cookies make up 38% of all sales for a local baker's cookie sales.

Let the total number of cookies be x.

Now, 38% of x=133

38/100 ×x=133

x=13300/38

x=350

Therefore, the total number of cookies baker sold in all are 350 cookies.

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The changes to the slope and to the intercept of the linear function after the transformation g(x) = f(x) + k, in which k = 2, are given as follows:

The slope-intercept definition of a linear function is presented as follows:

y = mx + b.

In which the coefficients are given as follows:

The function f(x) in this problem is given as follows:

f(x) = -2x + 3.

Meaning that it has a slope of -2 and and intercept of 3.

The function g(x) is defined as follows:

g(x) = f(x) + k.

Since k = 2, we have that:

g(x) = f(x) + 2

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

g(x) = -2x + 5.

Hence the slope and the intercept are given as follows:

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what are u saying ????????/?

i can't read spanish

The complex numbers are solved using De Moivre's Theorem and then are matched with their respective solutions.

What is De Moivre's Theorem?

De Moivre's formula, also known as the theorem and identity of de Moivre, says that for any real number x and integer n, holds -

(cos x + i sin x)^n=cos nx + i sin nx

where i is the imaginary unit (i^2 = 1).

Also, [r(cos x + i sin x)]^n = r^n(cos nx + i sin nx) or [r cis x]^n = [r^n cis nx].

The first complex number is (1+i)^5.

Solve using De Moivre's formula -

(1+i)^5 = [√2{(1/√2)+(i/√2)}^5]

=(√2)^5[cos(π/4)+i sin(π/4)]^5

=(√2)^5[cos(5π/4)+i sin(5π/4)]

=(√2)^5[(-1/√2)-(i/√2)]

=4(-1-i)

=-4-4i

The second complex number is (-1+i)^6.

Solve using De Moivre's formula -

(-1+i)^6=(1-i)^6

=[√2{(1/√2)-(i/√2)}^6]

=(√2)^6[cos(-π/4)+i sin(-π/4)]^6

=(√2)^6[cos(-6π/4)+i sin(-6π/4)]

=8(0+1i)

=8i

The third complex number is 2[cos(20)+i sin(20)]^3.

Solve using De Moivre's formula -

2[cos(20)+i sin(20)]^3=2^3[cos(60)+i sin(60)]

=8[(1/2)+{(√3)i/2}]

=4+4√3i

The last complex number is 2[cos(π/4)+i sin(π/4)]^4.

Solve using De Moivre's formula -

2[cos(π/4)+i sin(π/4)]^4=2^4[cos(4π/4)+i sin(4π/4)]

=16[cos(π)+i sin(π)]

=16(-1+i(0)]

=-16

Therefore, the complex numbers are solved using the theorem.

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Answer:

If you want to find out how many print copies the book is selling, just click the Paperback or Hardcover edition of the book on Amazon, scroll down to Product Details on that page, and find the Amazon Best Sellers Rank for the print edition.

Step-by-step explanation:

22 − ( ( ( 87 − 32 ) ÷ 5 ) × 2 )

Simplify each term.

22 − 22

Subtract  22  from  22 .

= 0