Please help meeeee!!!! Rewrite each number in exponential notation using 2 as the base: 8= 16= 32= 64= 128= 256=

Answer:

C

Step-by-step explanation:

Any fraction with a denominator of 0 is irrational.

Answer:

Mean of this data set is 43.7857

the median of this data set is 42

Step-by-step explanation:

The complete question is:

Fifteen seventh graders were randomly selected to see how many pushups in a row they could do. Their data are shown. A. b. 45, 40, 36, 38, 42, 48, 40, 40, 70, 45, 42, 43, 48, 36

a. Determine the mean of this data set.

b. Determine the median of this data set.

Given:

Data:

45, 40, 36, 38, 42, 48, 40, 40, 70, 45, 42, 43, 48, 36

To find:

a) Mean

b) Median

Solution:

a)

The formula to find Mean is :

Mean = Sum of all the values / Total number of values

          = ∑ x / n

Here there are total 14 values so n = 14

Now lets find sum of all the values

∑ x =  45 + 40 + 36 + 38 + 42 + 48 + 40 + 40 + 70 + 45 + 42 + 43 + 48 + 36

     = 613

Now compute Mean:

Mean = ∑ x / n

          =  613 / 14

         = 43.785714

Mean = 43.7857

b)

The formula to find Median is:

Since there are 14 values in the data this means the data has even number of values. So to compute the median of even number of values:

First put the values in order.

Second, find the middle pair of values in data

Third, find the value that is half way between them i.e. by adding the two middle pair values and dividing the result by 2

45, 40, 36, 38, 42, 48, 40, 40, 70, 45, 42, 43, 48, 36

Ordering the values :

36, 36, 38, 40, 40, 40, 42, 42, 43, 45, 45, 48, 48, 70

Find the middle two numbers:

42, 42

We can see that both are same values so median value is 42 but to follow the above steps:

Now add these two numbers and divide the sum by 2:

42 + 42 = 84

84/2 = 42

So the median of this data set is 42

Answer:

1/8

Step-by-step explanation:

3/4 can be written as 6/8, -5+6 is 1 so the answer is 1/8.

Answer:

-16

Step-by-step explanation:

2(3-4-7)

6-8-14

-2-14

-16

Answer:

Step-by-step explanation:

2(3 - 4 - 7) = 2(3 - 11)

                = 2*(-8)

               = -16

Answer:

                11

3.456 × 10

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The theoretical probability of getting a number is 1/6 since there is 6 sides

We rolled the dice 60 times

The experimental = x/60  where x is the number of times the number comes up

We want the theoretical to equal the experimental

1/6 = x/60

1/6 * 10/10 = 10/60

x = 10

This occurs for the number 4

Answer:

n = m r - r t

Step-by-step explanation:

Solve for n:

m = n/r + t

Hint: | Reverse the equality in m = n/r + t in order to isolate n to the left hand side.

m = n/r + t is equivalent to n/r + t = m:

n/r + t = m

Hint: | Isolate terms with n to the left hand side.

Subtract t from both sides:

n/r = -t + m

Hint: | Solve for n.

Multiply both sides by r:

Answer: n = m r - r t

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{(5.5 \: , \: - 9.5)}}}}}[/tex]

Step-by-step explanation:

Let the points be A and B

Let A ( 9 , -9 ) be ( x₁ , y₁ ) and B ( 2 , - 10 ) be ( x₂ , y₂ )

Finding the midpoint

[tex] \boxed{ \sf{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} }}[/tex]

[tex] \longrightarrow{ \sf{midpoint = ( \frac{9 + 2}{2} , \: \frac{ - 9 + ( - 10)}{2}}} )[/tex]

[tex] \longrightarrow{ \sf {midpoint = ( \frac{11}{2} \: , \: \frac{ - 9 - 10}{2}})} [/tex]

[tex] \longrightarrow{ \sf{midpoint = (5.5 \: , \: \frac{ - 19}{2}}} )[/tex]

[tex] \longrightarrow{ \sf{midpoint = (5.5 \: , - 9.5}})[/tex]

Hope I helped!

Best regards! :D

Answer:

Step-by-step explanation:

3²×3^4 = 3^6  ( when multiply add exponents)

correct answers:

first one 3^6

fourth one : 3^-4 * 3^10 = 3^6 (-4+10=6)

sixth one : 3³*3³ = 3^6

last one : (3*3)(2*3*3*3)= 3²*3^4 = 3^6

Answer:

q= -4

Step-by-step explanation:

[tex]5q + 6 = 2 q- 2 + q[/tex]

Collect like terms and simplify

[tex]5q - 2q - q = - 2 - 6 \\ 2q = - 8[/tex]

Divide both sides of the equation by 2

[tex] \frac{2q}{2} = \frac{ - 8}{2} \\ [/tex]

Simplify

[tex]q = - 4[/tex]

The requried solution to the equation 5q + 6 = 2q - 2 + q is q = -4.

To solve the equation 5q + 6 = 2q - 2 + q, we need to simplify and combine like terms. Let's proceed step by step:

First, let's combine the q terms on the right side of the equation:

5q + 6 = 2q - 2 + q

Combining the q terms on the right side, we have:

5q + 6 = 3q - 2

Next, let's isolate the q term by moving all other terms to the opposite side:

To move the 3q term to the left side, we subtract 3q from both sides:

5q - 3q + 6 = -2

Simplifying the left side:

2q + 6 = -2

Next, let's isolate the constant term by moving 6 to the right side:

Subtracting 6 from both sides:

2q = -2 - 6

2q = -8

Finally, to solve for q, divide both sides by 2:

q = -8/2

q = -4

Therefore, the solution to the equation 5q + 6 = 2q - 2 + q is q = -4.

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Answer:

a + b + c = 1

Step-by-step explanation:

To expand the bracket, [tex](2x - 3)^{2}[/tex] we will simply be multiplying the bracket by itself.

This will be the same as having [tex](2x - 3) \times (2x - 3)[/tex]

The first step in doing this is to multiply each of the values in the second bracket by the values in the first one.

[tex]2x \times 2x =4x^2[/tex]

[tex]2x\times -3 = -6x[/tex]

[tex]-3 \times 2x = -6x[/tex]

[tex]-3 \times -3 =9[/tex]

Once this is done, the next step is to group the like terms and evaluate the result.

[tex]4x^2 -6x-6x +9[/tex]

[tex]4x^2 -12x +9[/tex]

This is algebraic expression is the result of the expansion of [tex](2x - 3)^{2}[/tex] .

Based on the descending powers of x

a = 4

b = -12

c = 9

These are the coefficients of [tex]x^2[/tex]  and [tex]x[/tex] and also the last figure.

a + b + c = 4 -12 +9 = 1

Answer:

15

Step-by-step explanation:

Answer:

n=-3

Step-by-step explanation:

so its actually 3n+9=0 so you can subtract 9 to get 3n=-9

                            -9  -9

then divide 3n and -9 by 3 to get n by itself so it looks like n=-3 hope this helps :)

Answer:

Step-by-step explanation:

70 < 3x + 10 < 100

first part:

70 < 3x + 10

70-10<3x

60/3<x

second part

3x + 10 < 100

3x<100-10

3x<90

x<90/3

Answer:

Step-by-step explanation:

X + 3 + X + X = 180

3X + 3 = 180

3X = 177

3X   =   177

ــــــــــــــــــــــــــ

3            3

X = 59

Answer:

I'm pretty sure it's -15

Step-by-step explanation:

Answer:

34 of the paint? is it 3/4 or just 34?

Step-by-step explanation:

Answer:

11.3

Step-by-step explanation:

divide my dude

Answer:

Well your using absolute value and everything in absolute value is positive so you get rid of the negative.

Step-by-step explanation:

So you distribute the negative into the absolute value equation . And it leaves you with

|-1+5a|=29 now you can solve

your subtract your -1 from both sides bc you are solving for a

that gives you

5a=30 then you divide 5 divided by 30 is what 6 so that’s your answer

a=6

Answer:

[tex]k=-28[/tex]

Step-by-step explanation:

[tex]k+1=-27[/tex]

Subtract 1 from both sides:

[tex]k+1-1=-27-1[/tex]

[tex]k=-28[/tex]

Answer:

Watered

Step-by-step explanation:

Hope this helps

Answer:

watered

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

So u do 20 multiply 2=40-4=36

to check the answer we know that it has to be out of 100% so u can do 20+36+40+4=100 so she got 36/100% which is an F and she got 16 as her finale score I hope this works

Answer:

f=1

Step-by-step explanation:

Let start off with doing -f plus 4f which gives you 3f. The equation would now be 2+3f=8-3f. Add 3f so you can cancel out the -3f and add the 3f to the other 3f. Now your equation is 2+6f=8. Cancel out do by doing -2. (Don't forget to to it to the 8 also.) Now your equation is 6f=6. Divide 6 from both sides to get 1. (You divide because you want to get f alone.

Answer:

15 metres

Step-by-step explanation:

A hexagon has 6 sides:

Let x be the length of one side:

6x= 90

x = 90 / 6 = 15 m.

Hey there glad I can help!!

Answer:

15

Step-by-step explanation:

90/6=15

If this satisfies you please consider giving me brainiest :D

Answer: x>16/3

Step-by-step explanation :0

Answer:

07

Step-by-step explanation:

The coordinate of A is (-5, 9) if M (-1,2) is the midpoint of AB and if B has coordinates of (3,-5).

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]

It is given that:

The coordinate of the midpoint of AB is M (-1,2)

The coordinate of B is (3, -5)

Let (x, y) be the coordinate of A.

From the mid-point theorem:

(x + 3)/2 = -1

x + 3 = -2

x = -2 - 3

x = -5

(y - 5)/2 = 2

y - 5 = 4

y = 4 + 5

y = 9

The coordinate of A is (-5, 9) and the coordinate of B is (3, -5)

The mid-point of the line segment AB

The coordinate of M is (-1, 2).

Thus, the coordinate of A is (-5, 9) if M (-1,2) is the midpoint of AB and if B has coordinates of (3,-5).

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Work Shown:

There are 13 diamond cards. The probability of getting a diamond card is 13/52 = 1/4.

Assuming the first card is not replaced, the probability of getting another diamond card is 12/51. Note how I subtracted 1 from the numerator and denominator of 13/52 to get 12/51.

Multiply the two fractions to get

(1/4)*(12/51) = 12/204 = 1/17

The probability of getting two diamonds in a row is 1/17

We'll use this later, so let A = 1/17.

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

There are 4 kings. The probability of pulling out a king is 4/52 = 1/13

The probability of pulling out another king is 3/51 = 1/17

The probability of pulling out two kings in a row is (1/13)*(1/17) = 1/221

Let B = 1/221

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

Add the values of A and B

A+B = 1/17 + 1/221

A+B = 13/221 + 1/221

A+B = (13+1)/221

A+B = 14/221

A+B = 0.0633 which is approximate

That converts to 6.33% when you move the decimal point over 2 spots to the right.

We have that  the probability that both are diamonds or both are kings.

P(D+K)=32\%

From the question we are told

Two cards are drawn from the pack of 52 cards. Find the probability that both are diamonds or both are kings.

Generally the equation for the  both are diamonds or both are kings  is mathematically given as

[tex]P(D+K)=\frac{d}{52}+ \frac{k}{52}[/tex]

Therefore

[tex]P(D+K)=\frac{13}{52}+ \frac{4}{52}\\\\P(D+K)=0.32[/tex]

P(D+K)=32\%

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The volume of a cube = e^3

e = a single edge of the cube.

Area of a square = a^2

a = a single side of the square.

The volume of our cube = 13 ft^3

e = [tex]\sqrt[3]{13}[/tex] = 2.35 ft

The area of our square =  4 ft^2

a = [tex]\sqrt{4}[/tex] = 2 ft

The edge of our cube is greater than the length of our square's side.

The poster will lie flat in the box.

Answer: -5a + 3b

Step-by-step explanation:

3a + 2b - 8a + b

Start with writing the like terms next to each so that you don't get confused:

3a - 8a + 2b + b

Now, simply the 'a' variable to get:

-5a + 2b + b

Finally simplify the 'b' variable to get:

-5a + 3b

The above expression cannot be simplified further as they do not have any common terms. Therefore, the expression -5a + 3b is in it's simplest form.

The required simplified expression is given as -5a + 3b.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
= 3a + 2b - 8a + b
For the above expression, we have to add the coefficients of  a and b.
= -5a + 3b

Thus, the required simplified expression is given as -5a + 3b.

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