somebody come help me I'm stuck in this problem how do I simplify it using exponent rule ​

Answer:

A

Step-by-step explanation:

Answer:

7.D

8.A

Step-by-step explanation:

7.

r=√((0-6)²+(0+8)²)=√(36+64)=√100=10

eq. of circle is (x-6)²+(y+8)²=10²

(x-6)²+(y+8)²=100

8.

CM=1/2CD=1/2×60=30

OM=18

OC=√(30²+18²)=√(900+324)=√(1224)=√(4×306)=√(4×9×34)=2×3√34=6√34

radius r=OC=6√34

OF=r=6√34

ON=15

FN=√((6√34)²-15²)=√(1224-225)=√999=√(9×111)=3√111

Answer:

because he left you and your mom and now you are sad because you have no dad also yer dads j e r k

Step-by-step explanation:

Answer:

he is walking 5000000000000000000000000000% slower than a sloth

Step-by-step explanation:

sloths are slow

Answer:

2 students said only fall

Step-by-step explanation:

Given:

Total number of students = 25

Number of students who like fall season (F) = 12

Number of students who like summer season (S) = 18

Number of students who like both fall and summer season [tex]\left ( F\cap S \right )[/tex] = 10

To find:

Number of students who like only fall season

Solution:

A set is a well defined collection of objects. A universal set is the set of which all other sets are subsets. It is denoted by U.

According to the venn diagram,

n(only F) = [tex]=n(F)-n\left ( F\cap S \right )[/tex]

[tex]=12-10=2[/tex]

So, 2 students said only fall.

Cloudy = 0.30

Rain = 0.15

Both = 0.14

Probability of Rain if cloudy:

P(Both)/P(Cloudy) = 0.14/0.30 = 14/30 = 0.4666

Multiply by 100:

0.4666 x 100 = 46.67%

Answer is b. About 46.67%

Answer:

27 pi

Step-by-step explanation:

First find the area of a circle

A = pi r^2

A = pi ^^2

36 pi

We know this is 3/4 of a circle so multiply the area by 3/4

3/4 * 36 pi

27 pi

Answer:

q = 8

Step-by-step explanation:

[tex]\frac{q}{q + q + 4} = \frac{2}{5} \\\frac{q}{2q + 4} = \frac{2}{5} \\\\4q + 8 = 5q\\q = 8[/tex]

The value of q is 8.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, we have,

there are 23 boys and 35 girls on the school track and field team.

After q boys and (q+4) girls graduate q the end of the year,

the probability of selecting a boy at random to represent the school for an event becomes 2/5.

now, we get,

q/(q+q+4)=2/5

solving we get,

4q+8 = 5q

i.e. q=8

Hence, the value of q is 8.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ2

Answer:

20 square yards

Step-by-step explanation:

Area of workshop

= length * width

= 5 * 4

= 20 square yards

Answer:

-17

Step-by-step explanation:

-21-c

Let c = -4

-21 - -4

Subtracting a negative is like adding

-21 +4

-17

Answer:

-17

Step-by-step explanation:

- 21 - c

Put c as -4.

- 21 - (-4)

The negative signs cancel.

- 21 + 4

Add both the terms.

= -17

Answer:

b = -1

Step-by-step explanation:

First plug in 4 for each x:

[tex]x^2+bx-12=0\\(4)^2+b(4)-12=0[/tex]

Then simplify by multiplying out what you can with 4:

[tex](4)^2+b(4)-12=0\\16+4b-12=0[/tex]

After simplify further by combining like terms:

[tex]16+4b-12=0\\4b +4=0[/tex]

Then isolate b on one side by subtracting 4 from each side:

[tex]4b+4=0\\(-4)+4b+4=0+(-4)\\4b=-4[/tex]

Finally isolate b further by dividing each side by 4 to get b alone and find the answer:

[tex]4b=-4\\\frac{4b}{4}=\frac{-4}{4} \\ b=-1[/tex]

Answer:

A

Step-by-step explanation:

This is because you won the first race and you won the second.

Answer:

(2n+9)/( n+5)

Step-by-step explanation:

f(x)=(2x+3)/(x+2)

Let x = n+3

f(n+3)=(2*(n+3)+3)/(n+3+2)

        = (2n+6+3)/(n+5)

        = (2n+9)/( n+5)

Answer:

gallons of water = 38784 gallons

Step-by-step explanation:

He builds a pool in his backyard .The pool measures 16 yards long, 6 yards wide and 2 yards deep. The pool is a rectangular prism. The number of gallons it can take to fill the pool can be calculated when we know the volume of the pool. Therefore,

volume of the pool = length × width × height

volume = lwh

l = 16 yards

w = 6 yards

h = 2 yards

volume = 16 × 6 × 2

volume = 192 yards³

1 cubic yards = 202 gallons

192 cubic yards = ?  gallons

cross multiply

gallons of water = 192 × 202

gallons of water = 38784 gallons

Answer:

4 1/2

Step-by-step explanation:

Multiply 2x2=4 and then put the half next to it

Answer:

1464.84375

Step-by-step explanation:

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 6 and r = 15 ÷ 6 = 2.5, thus

[tex]a_{7}[/tex] = 6 × [tex](2.5)^{6}[/tex] = 6 × 244.140625 = 1464.84375

The seventh term of the geometric progression will be 1464.84375

When there is a constant between the two successive numbers in the series then it is called a geometric series.

The nth term of a geometric sequence is

[tex]a_n =a_1(r)^{n-1}[/tex]

where a₁ is the first term and r is the common ratio

Here a₁ = 6 and r = 15 ÷ 6 = 2.5, thus

[tex]a_7=6\times (2.5)^{6}[/tex]  = 6 × 244.140625 = 1464.84375

Therefore the seventh term of the geometric progression will be 1464.84375

To know more about geometric progression follow

https://brainly.com/question/12006112

#SPJ2

Answer:

2 seconds

Step-by-step explanation:

When the ball hits the ground, its height (h) will be 0. You can therefore set up the following equation:

[tex]0=-16t^2+20t+30 \\\\-4(4t^2-5t-6)=0[/tex]

Factor:

[tex]-4(4t+3)(t-2)=0 \\\\t=-\dfrac{3}{4}, 2[/tex]

Since the time must be positive, it hits the ground after 2 seconds. Hope this helps!

Answer:

Step-by-step explanation:

Distributive  property

a(b - c) = ab - ac

3(x-4) = 3*x - 3*4  

         = 3x - 12

Answer:

This is the distributive property

Step-by-step explanation:

You use the distributive property to allocate a number outside of the parentheses to inside the parentheses.

For this example, they distributed a to both b and c making it a*b + a*c

This will result in the same answer:

3/5(-2 + 10/13) = 3/5*-2 + 3/5*10/13

3/5(-1.23..) = -6/5 + 30/65 (..= approx)

approximately- 0.74  = -0.74

Answer:

I think the answer is city B

Step-by-step explanation:

Hope this helps

Answer:

it is 6x²+ 9x- 15

Step-by-step explanation:

Answer:

Option (4)

Step-by-step explanation:

From the graph attached,

Equation of the wave function is a cosine function.

Let the graphed function is, f(x) = -Acos(bx - ∅)

Amplitude of the given function,

A = [tex]\frac{4-(-4)}{2}[/tex] = 4 units

Period = [tex]\frac{2\pi }{b}[/tex] = 2π

b = [tex]\frac{2\pi }{2\pi }[/tex] = 1

Given graph is starting from (0, 0).

Therefore, from the given graph, Phase shift of the cosine curve = ∅ = [tex]\frac{\pi }{2}[/tex]

Therefore, equation of the given cosine function will be,

f(x) = -4cos(x - [tex]\frac{\pi }{2}[/tex])

Option (4) will be the answer.

The  lemonade does Rosanne'a brother drinks is  [tex]1\div 2[/tex] liter

The remaining should be

[tex]= (1\ 1\div 2) -(1\div 4) \\\\= 1\ 2\div 4 -1\div 4 \\\\= 1\ 1\div 4 \ liters[/tex]

Since The brother drinks 2/5 of that,

So,

[tex]= (2\div 5)(1\ 1\div 4 L) \\\\= (2\div 5)(5\div 4 L) \\\\= 2\div 4 L \\\\= 1\div 2 L[/tex]

learn more: https://brainly.com/question/13981855?referrer=searchResults

Answer:

a=90 B=80 C=180

Step-by-step explanation:

Answer: The median of the date you gave would be -71. Hope that helps!

Answer:

the first one the both must have a right angle for it to be hl theorem

We will find that there are 5 outcomes where the sum of the numbers on the dice adds up to 6.

We want to see how many outcomes are there where the sum of the two dice is equal to 6. Each dice has 6 outcomes, which are:

{1, 2, 3, 4, 5, 6}

For rolling two dice with 6 outcomes each, the total number of outcomes is:

6*6 = 36

For rolling two dice, we can use the notation:

dice 1,  dice 2

And we can also write the sum, so we will only look at the outcomes where the sum is 6.

dice 1,  dice 2,  Sum

1            5          1 + 5 = 6

5           1           5 + 1 = 6

2           4           2 + 4 = 6

4           2            4 + 2 = 6

3           3            3 + 3 = 6

So there are 5 outcomes where the sum is equal to 6, so the correct option is B

Learn more about outcomes:

https://brainly.com/question/25688842

#SPJ1

Answer:

C

Step-by-step explanation:

the other guy explains it better, but i took the quiz, so I can confirm

Answer: check explanation for the solution

Step-by-step explanation:

A business that offers services to people by providing many amusement and fun with gate fees

The algebraic equations to be used is the general linear equation

Y = MX + C

Where

Y = total income or money realised

M = rate or price rate

X = number of goods or services

C = flat rate or gate fees

The business can also operate differently by using exponential equation

A = P(1 + R%)^t

Where

A = profit

P = capital

R = rate

t = time