Write -√-49 as an imaginary number using i.
Represent 4-3i on the graph

The volume of the two prisms compares that the volume of prism B will double.

We are given that side length of the cube measured 18 inches in length. She built another prism (Prism B) with the same dimensions as the cube, except she doubled its height.

When the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross-section is same as its base, then its volume is:

V = B x h

So, the volume of the two prism A= V = B x h

V = 18 x h = 18h

the volume of the two prism B= V = B x h

V = 18 x 2h = 36h

So, the volume of prism B will double thus the correct option is B.

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The complete question is;

Anna built a prism (Prism A) out of a cube of wood. The side length of the cube measured 18 inches in length. Anna built another prism (Prism B) with the same dimensions as the cube, except she doubled its height.

How does the volume of the two prisms compare?

The volume of prism B will triple.

The volume of prism B will double.

The volume of prism B will decrease.

The volume of prism B will be cut in half.

Answer:

Step-by-step explanation:

m = 1/2, (18,10)

y - y = m(x-x)

y - 10 = 1/2 (x - 18)

y - 10 = 1/2x -9

y = 1/2x - 9 + 10

y = 1/2x + 1

Answer:

The larger number is 67 and the smaller number is 13

Step-by-step explanation:

y=5x+2

x+y=80

-5x+y=2

6x=78

x=13

y=65+2

y=67

Answer:

20 percent

Step-by-step explanation:

(I had such a good explanation and accidentally refreshed the page)

So basics

48/60 is in

12/60 is out

Now we focus on out

we know this 12/60 becuase 48 is in and there are 60 tries so 60-48=12

So now 12/60 into a percent

A percent is basically x/100

So we gotta make 12/60 into a fraction with a denominator of 100

SO simplify fto make it easier (try to get it to 4,2,5,10,50,25 anything that goes into 100)

1/5

1/5 is 20 percent

thats a benchmark

But if you don’t know

You can always do a pro proton

1/5=x/100

Cross multiply

100=5x

x=20

Answer:

D) 50%

Step-by-step explanation:

There are 5 weekdays, Monday through Friday.

In each of the 5 weekdays she runs 2.6 miles.

In a week, she runs 5 × 2.6 miles = 13 miles by running only on weekdays.

Now we need to find out what percent of 26 miles is 13 miles.

percent = part/whole × 100%

percent = 13/26 × 100%

percent = 0.5 × 100%

percent = 50%

Answer: D) 50%

The parent function is the simplest form of the type of function in the graph is g(x) = 1/x

What is graph ?

In mathematics, a graph is a collection of points, called vertices, and lines, called edges, that connect the vertices. Graphs are used to represent networks of communication, data organization, computational devices, the flow of computation, and more. Graphs are one of the most fundamental concepts in mathematics, and they are used to model many real-world problems and situations.

The transformation from the first equation to the second one can be found by finding a, h and k for each equation.

y = a / x-h   +   k

Find  a, h and k for

g(x)= 1/x

a = 1

h=0

k = 0

The horizontal shift depends on the value of h and The horizontal shift is described as :

f(x) = f(x+h)  The graph is shifted to the left h units

f(x) = f(x-h) The graph is shifted to the right h units.

Horizontal shift depends on the value of k and The horizontal shift is described as :

f(x) = f(x+k)  The graph is shifted to up k units

f(x) = f(x-k) The graph is shifted down k units.

Vertical shift : none.

The sign of a describes the reflection across the x-axis. −a means the graph is reflected across the x-axis.

Reflection about the x-axis: None

To find the transformation, compare the two functions and check to see if there is a horizontal or vertical shift, reflection about the x-axis, and if there is a vertical stretch.

Parent Function: g(x) = 1/x

Horizontal Shift: None

Vertical Shift: None

Reflection about the x-axis: None

Hence, The parent function is the simplest form of the type of function g(x) = 1/x .

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Answer:38

Step-by-step explanation:

To find the distance above the ground at which the tack is, we need to calculate the vertical displacement of the front wheel when the tack was picked up.

First, let's determine the circumference of the front wheel. The circumference of a circle is given by the formula C = πd, where C is the circumference and d is the diameter. Given that the diameter is 26 inches, we can calculate the circumference:

C = π × 26

C ≈ 81.64 inches

This means that for every complete revolution of the wheel, Devon travels a distance of approximately 81.64 inches.

Next, we need to determine how many complete revolutions the front wheel made as Devon rolled another 100 feet (1200 inches). Since the circumference of the wheel is 81.64 inches, we can divide 1200 inches by 81.64 inches to find the number of revolutions:

1200 / 81.64 ≈ 14.68 revolutions

Now, we know that the tack was picked up after one full revolution. Therefore, out of the 14.68 revolutions, 13 complete revolutions have occurred. The tack is located at the point where the 14th revolution starts.

Since each revolution covers a distance equal to the circumference of the wheel, the vertical displacement of the tack is the height of the wheel, which is the radius of the wheel. The radius is half the diameter, so in this case, it is 26 / 2 = 13 inches.

Therefore, the tack is located 13 inches above the ground.

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The fraction of the problems you still must do to complete your homework is 97/10

Given

Homework remaining = Total homework - Homework completed in school

= 10 - 3/10

= (100 - 3) / 10

= 97 / 10

Therefore, the fraction of the problems you still must do to complete your homework is 97/10

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Answer:

Approximately Normal

Step-by-step explanation:

Even though we don't know the shape of the population distribution of thicknesses, the sampling distribution of -x  will be approximately normal since the sample size is large (n=100≥30).

Answer:

796871

Step-by-step explanation:

Based on the given conditions, formulate:

5000 x (1 - (1 + 10%) 10)

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

           1 - (1 + 10%)                                                                          

Evaluate the equation/expression:

796871.23005

Find the closest integer to

798871.23005

=  796871

Answer:

24 pi

Step-by-step explanation:

A= n/360(pi r^2)

A= 135/360(pi)(8^2)

A=135/360(64)(pi)

A= 24 pi

Answer:

0.2% apples & 0.1 oranges resp

Answer:

x = 30°

Step-by-step explanation:

2x + 90 + x = 180

3x = 90

x = 30

Topic: Angles

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Answer:

\( \huge{ \boxed{ \bold{ \tt{x = 30 \degree}}}}\)

♨ Step - by - step explanation

☯ Given angles :

☯ To find :

✎ Set up an equation and solve for x :

Add the like terms. Remember that Only coefficients of like terms can be added or subtracted.

➺ \( \sf{3x \degree + 90 \degree = 180 \degree}\)

Move 90° to right hand side and change it's sign

➺ \( \sf{3x \degree = 180 \degree - 90 \degree}\)

Subtract 90° from 180°

➺ \( \sf{3x \degree = 90 \degree}\)

Divide both sides by 3

➺ \( \sf{ \frac{3x \degree}{3} = \frac{90 \degree }{3} }\)

➺ \( \boxed{ \sf{x = 30 \degree}}\)

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

❑ Rules for solving an equation

Hope I helped!

Have a wonderful time ! ツ

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An equation for the function graphed above include the following: g(x) = -1/4|x + 1| - 2.

By critically observing the graph of this absolute value function, we can reasonably infer and logically deduce that the parent absolute value function f(x) = |x| was vertically compressed by a factor of 1/4, reflected over the x-axis, followed by a vertical translation 2 units down, and then a horizontal translation to the left by 1 unit, in order to produce the transformed absolute value function as follows;

f(x) = |x|

y = A|x + B| + C

g(x) = -1/4|x + 1| - 2

In conclusion, the value of the variables A, B, and C are -1/4, 1, and 2 respectively.

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Answer:

Inverse Additive

Inverse multiplicative

Opposite Numbers

Reciprocal Numbers

Absolute value

Step-by-step explanation:

Inverse Additive is the number that is added to a given number to make the sum zero. For example, the additive inverse of 3 would be -3, because 3 + -3 = 0.

Inverse multiplicative is defined as a number which when multiplied by the original number gives the product as 1. For example, the multiplicative inverse of 5 would be 1/5, because multiplying 1/5 by the number 5 would equal to the product of 1.

Opposite Numbers- The opposite of a number is the number on the other side of 0 number line, and the same distance from 0. Basically same thing as an additive inverse. The negative version of a positive number, and vice versa.

Reciprocal Numbers- The reciprocal of a number is this fraction flipped upside down. In other words, the reciprocal has the original fraction's bottom number—or denominator—on top and the top number—or numerator—on the bottom.

Absolute value- The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign.

Answer:

2°

Step-by-step explanation:

Hello

I see you are very confused by this problem. However, there is an easy way to solve this one.

It has been proved that the sum of all angles in a rectangle is always 180°. Here is a way to prove it:

x y

_______A_________

/\

/ \

/ \

/ \

___/_______ \__

B C

we have two parellel lines xy and BC. It is true that:

xAy = 180°

xAB + BAC + CAy = xAy = 180

xAB = ABC

CAy= ACB

=> ........

I'll let you finish with your great intellect ^_^

HOPE YOU LEARN WITH JOY AND GOOD GRADE

(f/g)(-5) is equal to 1/4, and the value -1 is not in the domain of f/g.

To find (f/g)(-5), we need to substitute -5 into the functions f(x) and g(x) and then divide f(-5) by g(-5).

Given:

f(x) = (4+x)(6+x)

g(x) = 1+x

Substituting -5 into the functions:

f(-5) = (4+(-5))(6+(-5)) = (-1)(1) = -1

g(-5) = 1+(-5) = -4

Now, we can calculate (f/g)(-5):

(f/g)(-5) = f(-5) / g(-5) = -1 / -4 = 1/4

Therefore, (f/g)(-5) equals 1/4.

Now let's determine the values that are not in the domain of f/g. The values that are not in the domain of f/g are the values that make the denominator g(x) equal to zero. In this case, the denominator is g(x) = 1+x.

To find the values that make the denominator zero, we solve the equation:

1 + x = 0

Subtracting 1 from both sides, we get:

x = -1

So, the value x = -1 is not in the domain of f/g because it would make the denominator equal to zero.

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Answer:

The first five terms are 2, \(-\frac{4}{3}\) ,  \(\frac{8}{9}\)  ,  \(-\frac{16}{27}\)  ,  \(\frac{32}{81}\)

Step-by-step explanation:

In the geometric sequence, there is a constant ratio between each two consecutive numbers

Examples:

5,  10,  20,  40,  80,  ………………………. (×2)

5000,  1000,  200,  40,  …………………………(÷5)

General term (nth term) of a Geometric sequence is:

a1 = a, a2 = ar, a3 = ar²,  a4 = ar³, ..........

\(an=ar^{n-1}\), where

a is the first term

r is the constant ratio between each two consecutive terms

Let us solve the question

∵ A sequence has a first term of 2 and a constant ratio of \(-\frac{2}{3}\)

∴ This is a geometric sequence, where

→ We need to find the first 5 terms

∴ n = 5

∵ \(an=ar^{n-1}\)

∵ At n = 1, First term = a

∴ The first term = 2

∵ At n = 2, \(a2=2(-\frac{2}{3})^{2-1}=2(-\frac{2}{3})\)

∴ The second term = \(-\frac{4}{3}\)

∵ At n = 3, \(a3=2(-\frac{2}{3})^{3-1}=2(-\frac{2}{3})^{2}=2(\frac{4}{9})\)

∴ The third term = \(\frac{8}{9}\)

∵ At n = 4, \(a4=2(-\frac{2}{3})^{4-1}=2(-\frac{2}{3})^{3}=2(-\frac{8}{27})\)

∴ The fourth term = \(-\frac{16}{27}\)

∵ At n = 5, \(a5=2(-\frac{2}{3})^{5-1}=2(-\frac{2}{3})^{4}=2(\frac{16}{81})\)

∴ The fourth term = \(\frac{32}{81}\)

∴ The first five terms are 2, \(-\frac{4}{3}\) ,  \(\frac{8}{9}\)  ,  \(-\frac{16}{27}\)  ,  \(\frac{32}{81}\)

Answer:

Step-by-step explanation:

4 x 10^2 = 4 x 100 = 400

Answer:

Your answer would be: 240,000

Step-by-step explanation:

Answer:

-5/12

Step-by-step explanation:

Answer: 3 1/12

Step-by-step explanation: First We Would Do 2 1/2 + -7/6 First. We Would Get 1 1/3 Because We Change The Mixed Fractions Into Improper Fractions. So We Would Do 5/2 + - 7/6. We Would Then Find A Common Denominator Which Would Be 12. So 7/6 Would Be 14/12 & 5/2 Would Be 30/12. If You Did The Math Correctly You Would Get 1 1/3. Now 1 1/3 - 1 3/4 Would Be 3 1/12. You Would Change The Fractions To Improper Fractions And Then Subtract. You Would Also Need To Find The Common Denominator Which Is 12.

Hoped This Helped!

Answer:

The domain for the interval of decrease is 3 ≤ x ≤ 5

Answer:

The answer is in this image! Pls mark brainliest :)

Step-by-step explanation:

Answer

9x/5 - 3y

I hope I helped sorry if I didnt

We can see here that the data set approximately periodic. The period and amplitude is: Periodic with a period of 4 and an amplitude of about 30.

The size or magnitude of a wave or vibration is measured by its amplitude in physics. It describes the greatest deviation of a wave from its equilibrium or rest state, or the greatest intensity of an electromagnetic or sound wave.

When referring to waves, amplitude is commonly calculated as the distance between a wave's peak or trough and its resting position.

We can deduce that the values are being repeated at regular interval of four (4).

For the amplitude:

\(Amplitude: \frac{140 - 74}{2}\)

Amplitude = 33 ≈ 30.

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Answer:

The answer is C because they have the same coefficient and variable on both sides (or something like that but its definitely c )

A number is divisible by another number if the quotient is a counting number and the remainder is 0.