Determine all the possible orders if someone went into a bakery and could order a vanilla, strawberry, or chocolate cake. They can also choose between 4 different icings: vanilla, chocolate, strawberry, or peanut butter. How many options would be in the sample space?
A.16
B.9
C.12

Answer:

y = - 3x + 11

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{3}[/tex] x - 3 ← is in slope- intercept form

with slope m = [tex]\frac{1}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3, then

y = - 3x + c ← is the partial equation

To find c substitute (3, 2) into the partial equation

2 = - 9 + c ⇒ c = 2 + 9 = 11

y = - 3x + 11 ← equation of perpendicular line

Answer:

i think c

Step-by-step explanation:

Answer:

Its either A or C, but I would go with C

Step-by-step explanation:

Answer: 150 million km

Step-by-step explanation:

From the question, we are informed that the average distance of Venus from the sun is 108 million km which is about 42 million km less than the average distance from the sun to earth.

Therefore, the Earths average distance D from the sun will be calculated as:

= 108 + 42

= 150 million km

Answer:

4 3/7 as an improper fraction is 31/7

Answer:

31/7

Step-by-step explanation:

4 3/7

4 x 7 = 28

28 + 3 = 31

31/7

Answer:

68 degrees

Step-by-step explanation:

The sum of two complementary angles is 90 degrees

If <a and <b are complementary, then;

<a + <b = 90

Given

<a = 22 degrees

Required

<b

Substitute into the given expression;

22 + <b = 90

<b = 90-22

<b = 68 degrees

Hence the measure of <b is 68 degrees

Answer:

Step-by-step explanation:

Answer:

x = 3 + sqrt(e^3 + 9)

Step-by-step explanation:

Solve for x over the real numbers:

log(x) + log(x - 6) = 3

Hint: | Combine logarithms.

log(x - 6) + log(x) = log(x (x - 6)):

log(x (x - 6)) = 3

Hint: | Eliminate the logarithm from the left hand side.

Cancel logarithms by taking exp of both sides:

x (x - 6) = e^3

Hint: | Write the quadratic polynomial on the left hand side in standard form.

Expand out terms of the left hand side:

x^2 - 6 x = e^3

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 9 to both sides:

x^2 - 6 x + 9 = e^3 + 9

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x - 3)^2 = e^3 + 9

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x - 3 = sqrt(e^3 + 9) or x - 3 = -sqrt(e^3 + 9)

Hint: | Look at the first equation: Solve for x.

Add 3 to both sides:

x = 3 + sqrt(e^3 + 9) or x - 3 = -sqrt(e^3 + 9)

Hint: | Look at the second equation: Solve for x.

Add 3 to both sides:

x = 3 + sqrt(e^3 + 9) or x = 3 - sqrt(e^3 + 9)

Hint: | Now test that these solutions are correct by substituting into the original equation.

Check the solution x = 3 - sqrt(e^3 + 9).

log(x) + log(x - 6) ⇒ log((3 - sqrt(e^3 + 9)) - 6) + log(3 - sqrt(e^3 + 9)) = 2 i π + 3 ≈ 3 + 6.28319 i:

So this solution is incorrect

Hint: | Check the solution x = 3 + sqrt(e^3 + 9).

log(x) + log(x - 6) ⇒ log(3 + sqrt(e^3 + 9)) + log((3 + sqrt(e^3 + 9)) - 6) = 3:

So this solution is correct

Hint: | Gather any correct solutions.

The solution is:

Answer: x = 3 + sqrt(e^3 + 9)

9514 1404 393

Answer:

  x = 3 + √1009 ≈ 34.765

Step-by-step explanation:

Take the antilog and solve the resulting quadratic.

  x(x -6) = 10^3

  x^2 -6x +9 = 1009 . . . . . . add (-6/2)^2 to complete the square

  (x -3)^2 = 1009 . . . . . . . . . write as a square

  x = 3 + √1009 ≈ 34.765 . . . . . square root and add 3

__

Only the positive root makes any sense, since the log of a negative number is not defined (in real numbers).

__

For the graph, we subtracted 3 so we are looking for the x-intercept where f(x)=0.

Answer:

9.8

Step-by-step explanation:

The crew worked for 4 1/5 days

They built 2 1/3 kilometres of road each day

Therefore the total length of the road can be calculated as follows

= 4 1/5 × 2 1/3

= 21/5 × 7/3

= 147/15

= 9.8

Hence the length of the road is 9.8 kilometres

Answer:

$6.72

Step-by-step explanation:

1.68 is 7% of 24, so there is a 7% tax.

96x.07= 6.72

Answer:  The sales tax would be 6.72

Step-by-step explanation: 24 is 1/4 of 96 so that means that you have to multiply the sales tax number by 4 and 1.68 x 4 = 6.72

Answer:

y = 18 - 6x

Step-by-step explanation:

Given :

Speed or rate = 6mph

y = distance away from home

x = hours biked

Initial distance from home = 18 miles

General form of Slope - intercept form of an equation :

y = mx + c

Where ;

m = gradient or slope = rate of change

c = intercept or initial value or amount, always constant

x = independent variable

y = dependent variable

Hence,

For the question above :

Distance away from home, depends on the number of hours biked

y = 18 - 6x

Answer:

Graph.

y=−1/3x+3

y

=

−

1

3

x

−

1

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

The initial elevation is 20m

According to the question :

If it changes to 16m, then the final elevation of the bird is 16 m.

However, in some texts, the question goes thus;

A bird starts at 20m and changes 16m? The bird's final elevation is?

In this case, the initial height = 20m

Change in height = 16 m (positive means ascension)

Hence,

initial height + change in height

20 m + 16 m

= 36m

Answer:y^2z^3

Step-by-step explanation:

Really simple, when dividing a variable with an exponent by the same variable with an exponent all you do is z^5-2 = z^3 and then for y, y^4-y^2

There for you get y^2z^3

Answer:

[tex]y ^{2} z^{3} [/tex]

4_2=2 5_2=3

Answer:

2x10^3 is the answer

Step-by-step explanation:

Answer:

28.8 inches

Step-by-step explanation:

3 3/5= 18/5

18/5 *8=144/5=28.8

9514 1404 393

Answer:

  0.0802

Step-by-step explanation:

  8.02 × 10^-2

  = 8.02 × 0.01

  = 0.0802

_____

Your scientific or graphing calculator, or any spreadsheet, can convert number formats for you.

Answer:Molly

BC I DID THE MATH

Answer: molly bc i did the quiz

Step-by-step explanation:

Answer:

7:6

Step-by-step explanation:

I simplified 14:12

Step-by-step explanation:

Since 14 and 12 are both even numbers, they are a multiple of 2.

14 = 2 * 7

12 = 2 * 6

Therefore 14:12 = (2*7):(2*6) = 7:6.

The equivalent ratio is 7:6.

Answer:

No. The margin of error only includes sampling variability.

Step-by-step explanation:

The margin of error would be considered for the sampling error

In the case when some adults does not have telephones so it is called as error selection bias this is not a sampling error

The selection bias, unresponse bias and the response would be the examples of an error but it is not a sampling errors

So there is no margin of error as it only involved the variability in the sampling

Answer:

orange = 9 sticks

Red = 23 sticks

Step-by-step explanation:

orange = x

Red = y

x + y = 32

There are 5 more red sticks than twice the number of orange sticks

y = 2x + 5

x + y = 32

x + 2x + 5 = 32

3x = 32 - 5

3x = 27

x = 27/3

x = 9 sticks

y = 2x + 5

= 2(9) + 5

= 18 + 5

y = 23 sticks

orange = 9 sticks

Red = 23 sticks

Answer:

I got 9

Step-by-step explanation:

The Large blizzard has the lowest cost per ounce at $ 0.31125/oz

Given data ,

To determine the best price per ounce for Dairy Queen blizzards, we can calculate the cost per ounce for each size option:

Small: 6 oz. for $2.49 ->

Cost per ounce = $2.49 / 6 oz. = $0.415/oz.

Large: 16 oz. for $4.98 ->

On simplifying the equation , we get

Cost per ounce = $4.98 / 16 oz. = $ 0.31125/oz.

Medium: 10 oz. for $3.49 ->

Cost per ounce = $3.49 / 10 oz. = $0.349/oz.

Super Size: 24 oz. for $7.69 ->

On simplifying the equation , we get

Cost per ounce = $7.69 / 24 oz. = $0.32042/oz.

Comparing the cost per ounce for each size option, we can see that the Small blizzard has the highest cost per ounce at $0.415/oz. The Large blizzard has the lowest cost per ounce at $ 0.31125/oz.

Hence , the Large blizzard gives you the best price per ounce among the options provided.

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ6

Answer:

its many solutions

Step-by-step explanation:

Answer:

slope -7

y intercept (0 , 12)

Answer:

12.8 cups of flour will need to be used

Step-by-step explanation: