Which shows a correct way to determine the volume of the right rectangular prism?
71cm
8cm
9+1+8 = 18 cm
219 + 1 + 8) = 36 cm
9(3) + 1 = 28 cm
98)(1) = 72 cm​

Answer:

b

Step-by-step explanation:

Answer:

A and D

Step-by-step explanation:

<3 <3 <3

Answer:

She earns £11 per hour

Step-by-step explanation:

You divide £440 with 5 days of the week and then you get how much she earns in a day. And then you devide with 8 and u get £11.

Caroline will earn £11 for working per hour.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that caroline works 8 hours a day 5 days a week she earns £440 each week.

The earnings for an hour will be calculated as,

Total hours = 8 x 5 = 40 hours

Earning per hour = £440 / 40

Earning per hour =  £11

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Hey there! I'm happy to help! :D

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OVERVIEW

A complex number is a real number combined with an imaginary number (such as i, a number that will equal -1 when squared).

The complex plane is an interesting thing we use to graph complex numbers. The horizontal axis is where you plot the real part of the complex number, and the y-axis is where you plot the coefficient of the imaginary number.

For example, if I had the complex number 4+3i, I would plot the point (4,3) on the complex plane.

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MODULI

The modulus (plural is moduli) is the distance of a complex number from the origin on the complex plane. To find the modulus, you take the real number and the coefficient (basically the points of your graph), square them, add the results, and then you find the square root of that! Here's a little checklist so that you can always find the modulus of any complex number!

STEPS TO FIND MODULUS GIVEN COMPLEX NUMBER

STEP 1: PLOT THE COMPLEX NUMBER

Let's use our complex number 4+3i. If we plot it, the point will be (4,3)

STEP 2: TAKE YOUR VALUES OF X AND Y AND SQUARE THEM

4²=16

3²=9

STEP 3: ADD THESE SQUARES

16+9=25

STEP 4: SQUARE ROOT IT

√25=5

Therefore, the modulus (distance from the origin on the complex plane) of 4+3i is 5.

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SOLVING THE PROBLEM

In our case, we are given a modulus but not a point on the line. Our modulus is the square root of seventeen. We are going to have to the steps to find the modulus backwards to find our points. I will put the steps for finding a complex number given the modulus below.

STEPS TO FIND COMPLEX NUMBER GIVEN MODULUS

STEP 1: SQUARE THE MODULUS

√17²=17

STEP 2: FIND THE SQUARES THAT MAKE UP THE NUMBER

Before, we could just add things we found. Now, we have to find the things that were added! How do we know what things were added to find 17?  Well, we know that we added two squares to find the modulus, so we will subtract a square of some sort and hopefully come up with another square.

Let's see what squares exist that are less than seventeen.

1, 4, 9, 16

(Note that one is 1², 4 is 2², 9 is 3², and 16 is 4²)

Which of these can we add to get 17?

Well, we can do 1 and 16, so this is our result so far.

STEP 3: SQUARE ROOT THE RESULTS

Now, we just find the square roots of what we found in the last problem!

√1=1

√16=4

STEP 4: PLOT THE GIVEN NUMBERS ON THE PLANE AND FIND THE COMPLEX NUMBER

We can plot these either way because the modulus of 1+4i will be the same distance from the origin as 4+i because we only use the commutative property (adding order doesn't matter) when looking for the modulus. You can also have the negative version of either number because you immediately square it, so it can also be -4+i or 4-i! You can also rearrange the equation in tons of ways to figure it out. You could also have both be negative, flip the coefficient placement, etc.!

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SOLUTION

Therefore, the complex numbers that have a distance of √17 from the origin on the complex plane are ±4±i and ±1±4i. So, why did I write all of these funny plus and minus signs? Well, it's so that I didn't have to write all of the possible equations. I believe those equations actually represent 8 possible points we can create with the solution we got.

4+i

-4+i

4-i

-4-i

1+4i

-1+4i

1-4i

-1-4i

You can plug these complex numbers back in and find the modulus with my instructions to find the modulus given a complex number. Now, you will be able to deal with moduli and complex numbers for the rest of your life!

I hope that this helps! Have a wonderful day! :)

Answer:

Two intervals are 63 and 75

Step-by-step explanation:

Given:

Mean of students (μ) = 69 inches

Standard deviation (σ) = 3 inches μ

Find:

Interval of heights (95%) using empirical rule

Computation:

Interval of heights (95%) using empirical rule:

⇒ μ – 2σ = 69 - 2(3)

⇒ μ – 2σ = 69 - 6

⇒ μ – 2σ = 63

⇒ μ + 2σ = 69 + 2 (3)

⇒ μ + 2σ = 69 + 6

⇒ μ + 2σ =  75

Two intervals are 63 and 75

Answer: 65.5, 72.5

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

To find the y intercept, plug x in as 0.

Answer:

-24

Step-by-step explanation:

Y intercept is where graph cuts the y axis and it satisfies x=0

So put x=0 in your equation

F(0)= -8 x 3

F(0)= -24

Therefore y-intercept= -24

Answer:

The missing pieces should be after line 3.

9/4 = (x - 3)^2

<=> (3/2)^2 = (x - 3)^2

<=> x - 3 = 3/2 or x - 3 = -3/2

<=> x = 3 + 3/2 or x = 3 - 3/2

<=> x = 9/2 or x = 3/2

Hope this helps!

:)

Answer:

I think the missing steps are:

[tex]\frac{3}{2}=x-3[/tex]

and

[tex]\frac{9}{2}=x[/tex]

Step-by-step explanation:

[tex]-27=4x^2-24x[/tex]

First, factor 4 to make isolate [tex]x^2[/tex]

[tex]-27=4(x^2-6x)[/tex]

Now, divide by 4.

[tex]-\frac{27}{4}=x^2-6x[/tex]

Complete the square by adding [tex](\frac{b}{2})^2[/tex]

[tex](\frac{b}{2})^2-\frac{27}{4}=x^2-6x+ (\frac{b}{2})^2[/tex]

[tex](\frac{6}{2})^2-\frac{27}{4}=x^2-6x+ (\frac{6}{2})^2[/tex]

[tex](3)^2-\frac{27}{4}=x^2-6x+ (3)^2[/tex]

[tex]9-\frac{27}{4}=x^2-6x+9[/tex]

Solve the difference.

[tex]\frac{9*4-27}{4}=x^2-6x+9[/tex]

[tex]\frac{36-27}{4}=x^2-6x+9 \\\frac{9}{4}=x^2-6x+9[/tex]

Factor the equation.

[tex]\frac{9}{4}=(x-3)(x-3)[/tex]

Rewrite it;

[tex]\frac{9}{4}=(x-3)^2[/tex]

Extract the square root.

[tex]\sqrt{\frac{9}{4} }=x-3[/tex]

Take the square root of 9 and 4.

[tex]\frac{3}{2}=x-3[/tex]

Add 3.

[tex]\frac{3}{2}+3=x[/tex]

Do the sum

[tex]\frac{3+2*3}{2}=x\\\frac{3+6}{2}=x\\\frac{9}{2}=x[/tex]

Answer:

h<0

Step-by-step explanation:

75+125h ≤ 750

h≤ 8.333

for negative values of h the inequality will not hold true

Answer:

D 57

Step-by-step explanation:

The value of X

Answer:

66

Step-by-step explanation:

to find the area of a triangle it is base times height at a 90 degree angle divided by to so

11x12 then divide by 2 = 66

Answer:

12

Step-by-step explanation:

We are told that the school won 75% of the games, this means that the school lost:

100% - 75% = 25%

the school lost 25% of the games that equate to 4 games:

Games          Percentage

    4           ⇔       25%

I will call 'x' the number of games that they won, which is the 75%:

Games          Percentage

    4           ⇔       25%

    x           ⇔       75%

we can solve this problem using the rule of three: multiply the cross quantities on the table (4 by 75) and then we divide by the remaining number on the table (25), thus the number of games they won is:

x = 4*75/25

x = 300/25

x = 12

they won 12 games

Another (perhaps simpler) way to find this same result is:

we know that 25% equals 4 games,

if we want 75%, this is 3 times more than 25% (because 25% times 3 is 75%) thus, the result (number of games they won) is 3 times more than 4:

4 * 3 = 12

Answer: 3

Step-by-step explanation: Dividing 600/188.4, we get 3 to the nearest whole number

Corrected Question

Create a circle with center A and a radius of your choice. Create a point B on the circle, and find the coordinates of B. Draw the radius AB. What is the slope-intercept form (y = mx + b) of the equation of AB? Show your work.

Answer:

y=0.62x+2

Step-by-step explanation:

In the attached circle drawn using Geogebra

Gradient of AB, [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where [tex](x_1,y_1)=A(0,2)$ and (x_2,y_2)=B(1.7,3.05)[/tex]

[tex]m=\dfrac{3.05-2}{1.7-0} \\=\dfrac{1.05}{1.7}\\\\\approx 0.62[/tex]

Line AB intercepts the y-axis at y=2, therefore: b=2

The slope-intercept form of the line AB (in this case) is therefore:

y=0.62x+2

For every circle center A of radius r and point B chosen on the circumference, the equation of the line AB will be different.

You can try one of your own!!

Answer:

Humans have limited powers as, but most of us desire to gain the ability to have supernatural powers for fame and fortune. However, only with a radical mutation in the DNA can abilities and powers turn out in them.

Step-by-step explanation:

Answer:

Y intercept is 0

Step-by-step explanation:

Answer:

(2,-2)

Step-by-step explanation:

The solution to a system of equations like these, is where the two lines intersect. In this case, I believe, it would be at point (2,-2). Although, it is a little hard to pinpoint without the labeled number lines.

Hope this helps! Best of luck!

Answer:

draw a a big L and put your numbers

Answer:

Step-by-step explanation:

Given that ;

Carlos needs 1.7 meters of wire for one project    &

0.8 meters of wire for another project

we are to shade the model to represent the total amount of wire Carlos needs .

NOW;

For both projects ; Carlos needs ( 1.7 + 0.8) meters of wire =  2.5 meters of wire

In  the  attached files below. the first picture shows the diagram attached to the question and the second one shows the shading of the model which represent the total amount of wire Carlos needs.

Answer:

A.  y=2x-2

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

to find the slope intercept formula u need the slope, the y-intercept, and the X and Y

1st step: find the slope and to find the slope, pick any two points from the line

point 1: (2,2)

point 2: (3,4)

slope= y2-y1/x2-x1

4-2/3-2=2/1 or 2

the slope intercept form is y=mx+ b, so now substitute the variables for the known

y=2

x=2

m=2

2=2(2)+b

solve the equation

2=4+b

subtract 4 on both sides

b=-2

the slope intercept form is y=2x-2

Answer:0.32

Step-by-step explanation: you’re welcome

Answer:

i think it was 20

Step-by-step explanation:

i took the quiz

Answer:

20

Step-by-step explanation:

By The Way You Matter Dont Give Up

Answer:

There are 12 possible outcomes in this sample space.

Step-by-step explanation:

There are 3 sweaters. For each sweater, there are 4 skirts. 3 multiplied by 4 is 12.

Answer:

6.1

Step-by-step explanation:

we will name the length in front of the angle , y :

tan(71°)≅2.904= y ÷2

⇒ y=  5.8

and we know that

c = [tex]\sqrt{2^{2} + y^{2} }[/tex]

then  

c = 6.14

and if we round it to the nearest tenth :

c = 6.1

Answer:

the answer is m = 1/5

Step-by-step explanation:

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The slope of the given equation of the line is 0.2.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c, slope intercept form

y - y₁ = m(x - x₁), point-slope form

where,

x and x₁ are the coordinates of the x-axis,

y and y₁ are the coordinates of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The equation of a line in the point-slope form is y–9=(1/5)(x-2). Therefore, the slope of the line is (1/5).

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Answer:

36

Step-by-step explanation:

Answer:

5: 3

Step-by-step explanation:

20:12

Divide each side by 4

20/4:12/4

5: 3

Answer:

5:3

Step-by-step explanation:

Simplify 20 and 12 until they cannot be divided as a whole anymore.

20=10=5

12=6=3

Answer:

68cm²

Step-by-step explanation:

6+11=17

17÷2=8.5

8.5×8=68

Answer:

68 sq cm

Step-by-step explanation:

11+6=17

17/2=8.5

8.5*8=68

Answer:

y=-1x+3

Step-by-step explanation:

2-5/1+2

-3/3

-1

y=-1x+b

2=-1+b

b=3

y=-1x+3