Simplify: √645³
O 872
O 84
O 3272
O 324

Answer:

V of both A and B is 100 cm³

Step-by-step explanation:

the volume (V) of a prism is calculated as

V = Ah ( A is the area of the base and h the height )

A

A = 20 and h = 5 , then

V = 20 × 5 = 100 cm³

B

A = 25 and h = 4 , then

V = 25 × 4 = 100 cm³

You're looking for the equation of the line through the two yellow points, whose coordinates are (4, 0) and (8, 9).

Compute the slope:

(9 - 0) / (8 - 4) = 9/4

Using the point-slope formula, the equation of the line is

y - 0 = 9/4 (x - 4)

or

y = 9x/4 - 9

Answer:

[tex]\frac{6}{k-6}[/tex]

Step-by-step explanation:

First, we can factor all of the following equations to turn that weird, huge looking thing into [tex]\frac{(k+6)(k-6)}{(k-6)(k-10)}[/tex] ÷ [tex]\frac{(k-6)^2}{k(k-6)}[/tex] × [tex]\frac{6(k-10)}{k(k + 6)}[/tex]. We know that division is simply multiplication by the reciprocal, so that whole equation will turn into [tex]\frac{(k+6)(k-6)}{(k-6)(k-10)}[/tex] × [tex]\frac{k(k-6)}{(k-6)^2}[/tex] × [tex]\frac{6(k-10)}{k(k+6)}[/tex]. Now we can cancel out some values if they are both in the numerator and denominator, which will turn that still huge looking thing into [tex]\frac{6}{k-6}[/tex] which is our final answer, as it cannot be simplified further.

Hope this helped! :)

Answer:

▪︎ Domain: all real numbers (x can be any number)

▪︎ Range: y <= 0 (y can never become greater than 0 bc the vertex of this function (highest point) is (0,0))

Step-by-step explanation:

the positive integer numbers that are divisible by 7 are an arithmetic sequence by always adding 7 :

a1 = 7

a2 = a1 + 7 = 7+7 = 14

a3 = a2 + 7 = a1 + 7 + 7 = 7 + 2×7 = 21

...

an = a1 + (n-1)×7 = 7 + (n-1)×7 = n×7

the sum of an arithmetic sequence is

n/2 × (2a1 + (n - 1)×d)

with a1 being the first term (in our case 7).

d being the common difference from term to term (in our case 7).

how many terms (what is n) do we need to add ?

we need to find n, where the sequence reaches 200.

200 = n×7

n = 200/7 = 28.57142857...

so, with n = 29 we would get a number higher than 200.

so, n=28 gives us the last number divisible by 7 that is smaller than 200 (28×7 = 196).

the sum of all positive integers below 200 that are divisible by 7 is then

28/2 × (2×7 + 27×7) = 14 × 29×7 = 2,842

Answer: Mean: 10.5, Median: 9 Mode: 8 Range: 7

Step-by-step explanation  

mean put the numbers in order, so 8,8,8,10,14,15 the mean is adding all numbers together and dividing by the number so 8 + 8 + 8 + 10 + 14 + 15 divided by 6 is 10.5,

median is middle so 9 since theres two middle numbers u add them both and then divide by 2

mode is the most so its 8 since 8 is there 3 times

range is the highest number and lowest number and u subtract them so 15 - 8 = 7

sorry if this is long but the answers are at the top

Answer:

Below in bold.

Step-by-step explanation:

Mean = ( 8 + 10 + 8 + 14 + 8 + 15) /  6

=  10.5.

Arrange in ascending order to find the median:

8 8 8 10 14 15

Median = mean of the middle 2 numbers

= (8 + 10)/2

= 9.

Mode = most occurring number = 8.

Range = greatest - least = 15 - 8 = 7.

The volume of a rectangular prism with a length of 12 inches, width of 10 inches, and height of 2.5 inches is 300 cubic inches

Volume of a rectangular prism = length × width × height

= (12 × 10 × 2.5) inches

= 300 inches

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Answer:

$1.05

Step-by-step explanation:

Find the unit price by dividing $0.75 by 5.

$0.75/5 = $0.15

Now find the price of 7 pencils by multiplying 7 and the unit price of $0.15.

$0.15 x 7 = $1.05

Answer:

1 4979/9999

Step-by-step explanation:

1.497949794979....

= 1 4979/9999

Answer:

2

Step-by-step explanation:

there needs to be qtr with 88 by 779900

The area of the figure is the amount of space on it, and the calculated area is 48.6 square feet

The figure is a triangle with the following parameters:

Base = 20

Height = 4.86

The area of a triangle is:

Area = 0.5 * Base * Height

So, we have:

Area = 0.5 * 20 * 4.86

Evaluate

Area = 48.6

Hence, the calculated area is 48.6 square feet

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Answer: m<AOB is 60 degrees.

Step-by-step explanation: If BCD is 30 degrees, it intercepts the arc BA, and therefore, any angle that intercepts an arc is half of the arc it intercepts. Thus, AOB is 60 degrees.

Answer:

lol

Step-by-step explanation:

lol

1) 7 = 7.0

2) 23 = 23.0

3) 1.562 = 1.6

Answer:

1) round off 7 to the nearest 10 is 10

2) round off 23 to the nearest 10 is 20

3)round off 1.562 to the nearest 10 is1.6

step by step explanation :

any whole number that is 5 and more can be rounded off to 10 e.g 5, 6 ,7 but numbers that are less than 5 can't be rounded off to 10 so it's becomes 0 e.g 4,2,3

example : round off 12 to the nearest ten

the answer is 10

[tex]5(4x - 4) = 5(3x + 3) \\ \cancel5(4x - 4) = \cancel5(3x + 3) \\ (4x - 4) = (3x + 3) \\ 4x - 3x = 4 + 3 \\ x = 7[/tex]

Put the value of X in equation:-

LHS:-

[tex]5(4x - 4) = 5(4(7) - 4) \\ 5(28 - 4) \\ 5(24) = 120[/tex]

RHS:-

[tex]5(3x + 3) = 5(3(7) + 3) \\ 5(21 + 3) \\ 5(24) = 120[/tex]

LHS= RHS

Hence proved

Answer:

x = 7

Step-by-step explanation:

Divide by 5 on each side :

Add 4 on each side :

Subtract 3x from each side :

Answer:

c

Step-by-step explanation:

vertically opposite angles are always equal

here, the angle with the measure 52 degree and angle c are vertically opposite angles

so angle with the measure 52 degree = angle c

angle c equals to 52 degree

Step-by-step explanation:

mean value : the sum of the measurements of all 10 plants divided by 10 (the number of measurements).

A)

since the 2 measurement errors are compensating each other in the sum of measurements (-5 cm vs. +5 cm), the sum stays the same, the number of measurements stays the same (10), so the mean value stays the same (72 cm).

B)

the mean absolute deviation was the mean value of the absolute values of the differences of each measurement to the plant measurements.

since the mean value stayed the same, so did the difference of the 8 originally correct measurements to that mean value.

the only change is with the 2 corrected measurements.

the original (but wrong) measurement of 65 had a difference of 7 (to 72).

and now it is only 2 (70 to 72).

and the other one had a difference of 6 (72 to 78).

and now it is only 1 (73 to 72).

so, the sum of all the differences decreased by (7-2) + (6-1) = 5 + 5 = 10.

we had originally a mean absolute deviation of 8.5. the sum of all 10 original differences was therefore 8.5×10 = 85.

now this sum went down to 85-10 = 75.

and the new mean absolute deviation is 75/10 = 7.5.

Answer:

Step-by-step explanation:

Q1

Q2

Answer:mbvcdhfguh

Step-by-step explanation:kvghjve5yr

Answer:

4/52 or 1/13

Step-by-step explanation:

In a standard deck of 52 cards, there are 4 suits and each suit has 13 cards.

There are 4 kings, 4 queens, 4 aces, and 4 jacks.

So the probability of drawing a king would be:
4/52 = 1/13

Answer:

The probability of drawing a King is 4/52 or about . 0769, which is also the probability of drawing a Queen. The probability that a card drawn from the deck will be both a King and a Queen is zero. The probability that a card will be either a King or a Queen is 8/52.

Step-by-step explanation:

52 cards in a deck 4 queens and 4 kings

=========================================================

Explanation:

There are 3 red out of 9 total

The probability of picking red at random is 3/9 = 1/3

If the first marble is not put back, then the chances of picking red again are now 2/8 = 1/4

Notice how I subtracted 1 from the numerator and denominator of 3/9 to get to 2/8. This is because the red count and the total count both go down by 1 each.

Now multiply the fractions mentioned:

(3/9)*(2/8) = (1/3)*(1/4) = (1*1)/(3*4) = 1/12

If you did this trial 12 times, then you should expect to get two reds about once. That's one way to interpret the probability of 1/12.

Side note: 1/12 = 0.0833 = 8.33% approximately

65.6

First find the hypotenuse:

(hyp)²=(opp)²+(adj)² theo. of pyth.

(hyp)²=(11)²+(5)² subt.

(hyp)²=121+25 calc.

√(hyp)²=√146

hyp=12.08cm

sinx = 11/12.08

x=sin-¹(11/12.08)

x=65.6°

Answer:

Y=p/9

Step-by-step explanation:

Can u see p = 9y?

But there is no option of p = 9y

So try to work a bit on the formula to y = p/9

Answer:

BC = 6 units

Step-by-step explanation:

given that B is between A and C , then

AB + BC = AC ( substitute values )

3x + 4x - 2 = 12

7x - 2 = 12 ( add 2 to both sides )

7x = 14 ( divide both sides by 7 )

x = 2

Then

BC = 4x - 2 = 4(2) - 2 = 8 - 2 = 6

Answer:

6

Step-by-step explanation:

from the question, since point B is between Ac

AC = AB + BC

12 = 3X+4X -2

3X+4X-2 = 12

7X = 12+2

7X = 14

dividing bothsides by 7

7X/7 = 14/7

X = 2

the length BC = 4X-2 = 4(2)-2 = 8-2= 6

length of BC = 6

Answer:

I'd say 11 but could also be 30

The exponential function that gives the profit after x weeks is given by:

[tex]P(x) = 200(1.2)^x[/tex].

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

In this problem:

Thus, the equation is given by:

[tex]A(x) = 200(1 + 0.2)^x[/tex]

[tex]A(x) = 200(1.2)^x[/tex]

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Answer:

Step-by-step explanation:

Find the value of x if the perimeter is 20

20 = X + 4X - 6 + X + 8

20 + 6 - 8 = 6X

18 = 6X

x = 18 : 6

x = 3

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

check

20 = 3 + 3 * 4 - 6 + 3 + 8

20 = 20

the answer is good

Answer:

Value of x is 3

Step-by-step explanation:

Given perimeter of figure = 20

x + (x+8) + (4x-6) = 20

x + x + 8 + 4x - 6 = 20

6x + 2 = 20

6x = 20 - 2

6x = 18

x = 18 / 6

x = 3

The composition of the function and its inverse function is always one. Then the correct option is C.

Suppose that the given function will be

f: X → Y

Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is

 f⁻¹: Y → X

such that:

[tex]\forall \: x \in X : f(x) \in Y, \exists \: y \in Y : f^{-1}(y) \in X[/tex]

(and vice versa).

It simply means that the inverse of 'f' is a reverse operator, that takes back the effect of 'f'

Suppose that f and g are functions that are inverse of each other.

When f is composed of g or vice versa. Then the composition will be

We know that the composition of the function and its inverse function is always one. Then we get

When f is composed of g or vice versa. Then the composition will be 1.

Thus, the correct option is C.

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Answer:

0.04

Step-by-step explanation:

The sensors made by Breaker's have a 4% defect rate

Answer:

D. 12.

Step-by-step explanation:

As I is the centroid G is the midpoint of CE, so

2x + 5 = 5x - 4

5+4 = 5x - 2x

3x = 9

x = 3.

x + 5 =  2/3 * CH   (Properties of the centroid of a triangle).

So as x = 3

2/3 CH = 3 + 5

CH = 8 * 3/2

CH = 12.