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Answer:

4

Step-by-step explanation:

[tex] \frac{ {7}^{7} }{ {7}^{3} } = {7}^{7 - 3} = {7}^{4} [/tex]

Answer:

angle C=93 degrees

Step-by-step explanation:

arc AB=78 degrees

arc ABC=2x105 degrees=210 degrees

arc AD=360-210-42=108 degrees

arc=DAB=78+108=186 degrees

angle C=1/2(186)=93 degrees

The distance between the point (-3, 4) and (0, 0) is 5 units.

The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is given by:

[tex]AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

Given the point (-3, 4), its distance from the point (0, 0) is:

[tex]Distance=\sqrt{(4-0)^2+(-3-0)^2}=5\ units[/tex]

The distance between the point (-3, 4) and (0, 0) is 5 units.

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Answer:

x + (-2) - 10 = -18

Step-by-step explanation:

Answer:

The answer is 384.85 yd       to the power of 3

Step-by-step explanation:

πr2h

=  π×3.52×10

=  122.5π

=  384.85

The volume of the given cylinder would be 384.65 cubic yards.

The volume of cylinder is given by -

V = πR²h

Where -

R - Radius of the cylinder

h - height of the cylinder

Given is to calculate the volume of the cylinder with height 10 yd and diameter 7 yd.

For the given cylinder, we have -

Radius of the cylinder : 7/2 = 3.5 yd

Height of the cylinder : 10 yd

So, we can write the volume of the cylinder as -

V = πR²h

V = 3.14 x 3.5 x 3.5 x 10

V = 384.65 cubic yards

Therefore, the volume of the given cylinder would be 384.65 cubic yards.

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Answer:

48 pieces are cut.

Step-by-step explanation:

1/12 of an inch means that one inch would be 12 pieces. Since there are 4 pieces it would be 12x4= 48 pieces.

Answer:

30.6 if im wrong someone correct me in comments and explain why

Step-by-step explanation:

I multiplied 2.3 by 4.5 and got 10.35 then divided it by 2 and got 5.175 and multiplied it by 2 and got 10.35 then I multiplied 4.5 by 4.5 and got 20.25 and added it to 10.35 and got 30.6

Easier way just add the two lengths and multiply it by height

Answer:

62 pages

Step-by-step explanation:

The total cost function is given as below:

C= 0.06p + 12.75

C=total cost for printing= $16.47

0.06= variable printing cost per page

p=number of pages prinited=the unknown

12.75=monthly fixed printing cost

16.47=0.06p+12.75

16.47-12.75=0.06p

3.72=0.06p

0.06p=3.72

p=3.72/0.06

p=62 pages

Answer:

AW YEAHHHHHHHHHHHHHHHHHHHHHHHHHHH

Step-by-step explanation:

Answer:

OH YEAHHHH

Step-by-step explanation:

lol

9514 1404 393

Answer:

  the numbers are -10 and -11

Step-by-step explanation:

Let x represent the second number. Then the first number is x+1, and the relation can be written ...

  5(x+1) = 4x -6

  x = -11 . . . . . . . . subtract 4x+5

The first number is -10; the second number -11.

Answer:

12

Step-by-step explanation:

Answer:

2y - 15

Step-by-step explanation:

well 15 LESS than TWICE a number. okay so let’s start off by making a variable for the unknown number.... y. the variable is y. so now we have to think, TWICE that number, but we don’t know the number.

Now that we have the variable and we know it has to be doubled, let’s start off making the first half... we can out that into 2y. which is 2 multiplied by the unknown number.

now that we have the first half done, we have to take the 15 less. Less can mean  or subtract in this kind of situation. but for this certain scenario, it will be subtraction. so the equation would be 2y - 15.

Hello!

First of all, let the number be r.

"twice a number" means we multiply that number by 2:

2r

Subtract 15 (fifteen less)

2r-15

This is equal to 21:

2r-15=21

[tex]\rule{160}{2}[/tex]

Solve the equation:

2r=21+15

2r=36

Divide both sides by 2:

r=18

Hope everything is clear.

Let me know if you have any questions!

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[tex]\rule{2}{2}~\bf{An~Emotional~Helper}~\rule{2}{2}}[/tex]

Answer:

The answer is 0.01 because 0.052=520   0.052 divided by 5.2=0.01

Step-by-step explanation:

Answer:

area of rectangle=l×b=2.4×5.8=13.92cm²

the answer is 9 because......

Answer:

Null, H0: μ ≥ 16

Alternative ; H1: μ < 16

reject H0

Step-by-step explanation:

Null, H0: μ ≥ 16

Alternative ; H1: μ < 16

To compute the test statistic :

We need the sample mean and sample standard deviation :

15.87, 16.02, 15.78, 15.83, 15.69, 15.81, 16.04, 15.81, 15.92, 16.10

Using calculator :

Sample mean, m = 15.887

Standard deviation = 0.13

Test statistic :

(m - μ) / s/sqrt(n)

(15.887 - 16) / 0.13/sqrt(10)

-0.113 / 0.0411096

= - 2.749

Tcritical at 95%

Tn-1, 0.025

T10,0.025 = 2.262

Since the test statistic value is less than the critical value, reject H0

Answer:

The expected number of appearance defects in a new car is 0.64.

Step-by-step explanation:

To find the expected number of appearance defects in a new car, we multiply each outcome by its probability.

We have that:

0.61 probability of 0 defects

0.21 probability of 1 defect

0.11 probability of 2 defects

0.07 probability of 3 defects

0.61*0 + 0.21*1 + 0.11*2 + 0.07*3 = 0.64

The expected number of appearance defects in a new car is 0.64.

Answer:

x^7 = 60

Step-by-step explanation:

log(a)+log(b)=log(ab) so

logx 5 + logx 12 = logx (5*12) = logx 60

logx a = b means x^b = a so x^7 = 60

The logarithm equation in exponential form is x⁷ = 60

An exponential equation that can be represented in the form of abˣ.

The logarithm equation is:

logₓ 5 + logₓ 12 = 7

According to the rule of the logarithm,

log a + log b = log (ab)

logₓ ( 5 *12) = 7

logₓ ( 60) =7

According to the property of logarithm

logₓ ( a) = b

xᵇ = a

x⁷ = 60

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Answer:

6x-11

Step-by-step explanation:

36x² - 121 is the difference of squares.

36x² - 121 = (6x+11)(6x-11)

Answer: y-4=-3(x-3) in standard form is - 3x+y=13

Step-by-step explanation:

Hope this helps!

Answer:

3x+y=13 hope this helps dont have the work:)

Answer:

Step-by-step explanation:

Distribute:

=9t+1+(7)(1)+(7)(9t)

=9t+1+7+63t

Combine Like Terms:

=9t+1+7+63t

=(9t+63t)+(1+7)

=72t+8

Answer:

Infinity

Step-by-step explanation:

-4y + 4y + 2 = 2

2 = 2 = always true

Answer:

The answer is Infinitely many

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

You first have to choose from Wide and Narrow.

Let's call them W and N

Then you have to choose 3 different pen colors.

Let call them, 1, 2, 3

So There are two choices from W and N.

Then we pick the number: 1, 2, 3.

so If you pick W, you will have 3 choices. Same for N.

So in total: 6 choices.

W= 3 choices, W1, W2, W3

N= 3 choices, N1, N2, N3

so 6 in total.