The diagram shows a square-based cuboid.
10 cm
4 cm
Work out the volume of the cuboid.
State the units of your answer.

Answer:

D

Step-by-step explanation:

i took the test

The equivalent expressions of [tex](x^{6} )^{-3}[/tex] will be [tex](x )^{-18}[/tex].

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive the equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

The given expression is;

[tex](x^{6} )^{-3}[/tex]

Required to Determine the equivalent expression.

First, we need to evaluate the expression in the bracket:

Apply the following law of indices:

[tex](x^a)^b = x ^{ab}[/tex]

So:

[tex](x^{6} )^{-3}[/tex]

becomes

[tex](x )^{6 \times -3}\\\\[/tex]

[tex](x )^{-18}[/tex]

Hence: the equivalent expressions of [tex](x^{6} )^{-3}[/tex] will be [tex](x )^{-18}[/tex].

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Answer:

4 weeks

Step-by-step explanation:

The number of weeks for a total of 16 quizzes will be 4 weeks.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

It is given that Jacob took a total of 12 quizzes over the course of 3 weeks. The number of weeks for 16 quizzes will be calculated as below:-

12 quizzes = 3 weeks.

1 quizzes = 3 / 12 weeks

16 quizzes = ( 3 / 12 ) x 16 = 4 weeks

Therefore, the number of weeks for a total of 16 quizzes will be 4 weeks.

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Answer:

50 yards

Step-by-step explanation:pythogourus theorem apply here

a²+b²=c²

40²+30²=c²

c²=2500

c=√2500

c=50 yards

hope this helps

plz mark me brainliest

Answer:

[tex]=144x^7y^6[/tex]

Step-by-step explanation:

[tex]16x^4y^2\left(9x^3y^4\right)\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\x^4x^3=\:x^{4+3}\\=16y^2\cdot \:9x^{4+3}y^4\\\mathrm{Add\:the\:numbers:}\:4+3=7\\=16y^2\cdot \:9x^7y^4\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\y^2y^4=\:y^{2+4}\\=16\cdot \:9x^7y^{2+4}\\\mathrm{Add\:the\:numbers:}\:2+4=6\\=16\cdot \:9x^7y^6\\\mathrm{Multiply\:the\:numbers:}\:16\cdot \:9=144\\=144x^7y^6[/tex]

Answer:

Step-by-step explanation:

2 x(4−3xy^2)/y

Answer:

63x-8<23

63x<23+8

63x < 31

63. 63

x < 0.492

Answer:

Step-by-step explanation:

Please be sure to include the directions when you post a question.  I will assume you want to graph this inequality 2x - y ≤ 5.  

2x - y = 5 is a linear function whose graph is that of a straight line.  Because of the ≤ sign, the solution set includes all points on this straight line PLUS all  points below it.

x - intercept:  Set y = 0 in 2x - y = 5 and solve the resulting equation for x:

2x - 0 = 5.  Then x = 5/2, and the x-intercept is (5/2, 0).

y-intercept:  Set x = 0 and solve for y:  2(0) - y = 5:  y = -5.  Then the y-intercept is (0, -5).  

Plot both points (5/2, 0) and (0, -5).  Draw a solid line through them.  Shade the area BELOW this line.

Answer:

6x -2y = 8

-6x+5y = 7

3y = 15

y = 5

6x - 2(5) = 8

6x - 10 = 8

6x = 18

x = 3

(3, 5)

Step-by-step explanation:

Answer:

10 inches

Step-by-step explanation:

For we solve this, we can use proportionality

Using the following method

Mini box: height 4 inches and width 3.2 inches

The proportion is: 4 in (height) / 3.2 in (width)

Standard box: height x inches and width 8 inches

x in (height) / 8 in ( width)

So:

x /8= 4/ 3.2

Solving for x:

x = (4/ 3.2) 8

x = 10 inches

As the answer

Answer:

10 inches

Step-by-step explanation:

Answer:

$1,263.75

Step-by-step explanation:

8425×0.15=1263.75

Answer: $1263.75

Step-by-step explanation:

$8425 (the amount you earned) multiplied by 0.15 (the tax rate as a decimal) is equal to 1263.75.

So, you would owe $1263.75 in taxes at the end of the year.

Answer:

idk i have the same question

Step-by-step explanation:

Answer:

z=2

Step-by-step explanation:

z^2 - 4z+4 =0

Factor recognizing

a^2 - 2ab - b^2 = (a-b)^2

(z-2)^2 =0

Using  the zero product property

z-2 = 0

z=2

Answer:.03x=6

Step-by-step explanation x=200 minutes

Answer:

200 minutes

Step-by-step explanation:

To find this, you should first set up an equation. Since you are trying to find the point where both plans cost the same, set them equal to each other. Let x be the cost for both. Write the equation:

[tex]16.95+0.05x=22.95+0.02x[/tex]

We place the x with the cost per minute because this is what you are trying to find. We add the cost per month.

Solve for x. Subtract 16.95 from both sides and simplify:

[tex]16.95-16.95+0.05x=22.95-16.95+0.02x\\0.05x=6+0.02x[/tex]

Subtract 0.02x from both sides:

[tex]0.05x-0.02x=6+0.02x-0.02x\\0.03x=6[/tex]

Divide both sides by 0.03:

[tex]\frac{0.03x}{0.03}=\frac{6}{0.03}\\ x=200[/tex]

At 200 minutes, the cost for both plans would be the same.

Complete Question

Casey buys a bracelet. She pays for the bracelet and pays $0.72 in sales tax. The sales tax rate is 6%. What is the original price of the bracelet, before tax?

Answer:

$12

Step-by-step explanation:

Let the original price of the bracelet before tax =x

Tax rate =6%

That means:

6% of x =$0.72

0.06x=0.72

Divide both sides by 0.06

x=$12

The original price of the bracelet, before tax is $12.

Answer:

sky im going with A

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

first multiply 17 by 14 to get 238 then dived 238 by 2 to get 140

Answer:

C

Step-by-step explanation:

Answer: 72

Step-by-step explanation:

Ok, in her legs the options are:

2 jeans + 3 black pants + 1 skirt = 6 options.

on her torso the options are:

2 pinks shirts + 4 striped shirts = 6 options.

And on top of that she has:

2 hooded sweatshirts = 2 options.

The total number of combinations is equal to the product of options for each type of garmet; this is:

C = 6*6*2 =36*2 = 72

So she has 72 different outfits.

Answer:

It is 70 becouse of how many clothing ther is and u just mulytly

it tell me if im right or wrong

thanks stay safe

byebye

Step-by-step explanation:

Answer:

There is a 40% chance that it will rain Tuesday and Friday.

Step-by-step explanation:

This is a good way to check you've done it correctly. Rains on Tuesday + doesn't rain on Friday: 40%⋅50%=20%

Answer:

60 percent chance

Step-by-step explanation:

First you multiply the two together. Then move the decimal to get a percent! HOpe this helps

Answer:

No solutions

Step-by-step explanation:

To find out how many solutions there are you must solve:

- 2 - 10z = - 4 - 10z

Add 10z to both sides:

-2 = -4

Since the two terms are different from one another, that means that there are no solutions for this equation.

Answer:

The equation of the parabola is:

[tex]x = 12\cdot m \cdot y^{2}[/tex]

Step-by-step explanation:

The equation of the parabola is:

[tex]x = 4\cdot p \cdot y^{2}[/tex]

Where [tex]p[/tex] is equal to the distance between focus and vertex. Then,

[tex]p = 3\cdot m[/tex]

Lastly, the equation of the parabola is:

[tex]x = 12\cdot m \cdot y^{2}[/tex]

Answer: x = (1/12m)(y^2)

Step-by-step explanation:

Focus at (3m, 0)

Directrix equation, x = -3m

Distance from focus = distance from directrix

√(x-3m)^2 + (y-0)^2 = √(x - (-3m))^2 + (y -y)^2

(x - 3m)^2 + y^2 = (x + 3m)^2

y^2 = (x + 3m)^2 - (x - 3m)^2

y^2 = x^2 + 6mx + 9m^2 - x^2 +6mx - 9m^2

Collecting like terms and simplifying

y^2 = 6mx + 6mx

y^2 = 12mx

x = (1/12m)(y^2)

Answer:

mean  is 16

Step-by-step explanation:

to find the mean of the data set u add up all the numbers and then u see how many number there are in total and u divided the solution of the sum and divided it by the total number of numbers.

17+21+14+17+12+15+16 = 112

then u see how many number there are and there are 7

112/7= 16

Answer:

15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1

Step-by-step explanation:

It will be 15! = 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1

Because the first vocab has 15 definitions to match

the second then be left with 14 definitions ( cause the first one match with 1 def already

the third has 13 definition

so on ...

hope this help

Answer:

15! ways

Step-by-step explanation:

15! =1.307 × 10¹²

For the first word, he has 15 options

For the second word, 14 options

.

.

.

For the last word, 1 option

Total possibilities:

15 × 14 × 13 × 12 × ...... × 1 = 15!

Answer:

0° and 90°

Step-by-step explanation:

Bearing is simply the angle, clockwise, between the north direction and any other direction;

In the first image (on the left) B is exactly in the north direction as compared to A so the bearing is 0°;

In the other image, B is to the right of A, which is a clockwise rotation of 90° from the north direction.

Answer:

5 minutes

Step-by-step explanation:

Do a proportion

440/75= 1760/x

cross multiply

440x=1760(75)

simplify

132000/440

Answer:

28cm^2

Step-by-step explanation:

The area of a trapezoid is the bases added divided by two times the height.

(9+5)/2*4=7*4=28

28cm^2

Answer:

84 dollars

Step-by-step explanation:

use x to represent the amount of money Laura had when she started shopping.

use y to represent the amount of money she had left after buying a pair of shorts.

You can create these two equations:

3/4x=y

2/3x=42

now, subsitute the value of y into the second equation.

2/3(3/4x)=42

1/2x=42

x=84

Answer:

[tex]D)4log_{12}x+\frac{1}{2} log_{12}(x^3-2)-5log_{12}(x+1)[/tex]

(4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x + 1)

Step-by-step explanation:

Given the expression:

[tex]log_{12}\dfrac{x^4\sqrt{x^3-2} }{(x+1)^5}[/tex]

first apply the division law of logarithm:

[tex]log_{a}x/y=log_{a}x-log_{a}y[/tex]

[tex]log_{12}\dfrac{x^4\sqrt{x^3-2} }{(x+1)^5}=log_{12}x^4\sqrt{x^3-2}-log_{12}(x+1)^5[/tex]

Next, by addition law:[tex]log_{a}xy=log_{a}x+log_{a}y[/tex]

[tex]=log_{12}x^4+log_{12}\sqrt{x^3-2}-log_{12}(x+1)^5\\\\Log a^m=mLog a, Log \sqrt{x}=log x^{1/2}\\\\ =4log_{12}x+log_{12}(x^3-2)^{1/2}-5log_{12}(x+1)\\\\=4log_{12}x+\frac{1}{2} log_{12}(x^3-2)-5log_{12}(x+1)[/tex]

Answer:

Its D on edge

Step-by-step explanation:

Geometric progression, first term 5, common ratio 3.

Answer: 5, 15, 45, 135