Betty's bedroom is 18ft
long and 25 ft wide. She
wants to install the
hardwood flooring. The
cost is $6.00 per square
foot. How much is the
total cost for room
flooring?

2

−

4

−

1

1

7 there you go

Answer:

x^2 -4x-117

Step-by-step explanation:

(x+9) (x-13)

(x * x)+(-13x)+(9x)+(-117)

A bar chart is a graph that shows the differences in frequencies or percentages among categories of a nominal or an ordinal variable.

A bar chart is a commonly used graphical representation to display the distribution of data in different categories. It is particularly useful when working with nominal or ordinal variables, where the categories are distinct and unordered or have a specific order.

In a bar chart, each category is represented by a rectangular bar whose length corresponds to the frequency or percentage associated with that category. The height of the bar represents the magnitude or count of the variable in each category, allowing for easy visual comparison between the categories.

The bars in a bar chart can be arranged horizontally or vertically, depending on the preference or nature of the data. The chart may also include labels or annotations to indicate the category names or additional information.

By examining the lengths or heights of the bars in a bar chart, it becomes easy to identify the categories with the highest or lowest frequencies or percentages, as well as to compare the relative magnitudes among the different categories. This graphical representation aids in visualizing and interpreting the distribution of a nominal or an ordinal variable effectively.

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Using the mean formula we know that the new mean height of 14 people is 159.7 cm.

A mean in math is the average of a data set, calculated by adding all numbers together and then dividing the total of the numbers by the number of numbers.

For illustration, with the dataset containing: 8, 9, 5, 6, 7, the mean is 7, as 8 + 9 + 5 + 6 + 7 = 35, 35/5 = 7.

The mean height given is 159 cm.

Let, x1, x2, x3 ..... x15 be the height of 15 people.

x1+x2+x3 ..... x15/15 = 159

x1+x2+x3 ..... x15 = 159 * 15 = 2385 cm ...(1)

Let, x1 = 148 cm, who leaves the group.

148+x2+x3 ..... x15 = 2385 cm

x2+x3 ..... x15 = 2237 cm

Now, we have 14 people.

New mean = x2+x3 ..... x15/14

= 2237/14

= 159.7 cm

Therefore, using the mean formula we know that the new mean height of 14 people is 159.7 cm.

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Answer:  5*sqrt(5)

This is the same as sqrt(125).

It approximates to roughly 11.1803

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

Explanation:

Vector u is 5 units long as indicated by the notation ||u|| = 5. Some math books would say |u| = 5, and it's the same thing. The double bars are probably more fitting because it helps emphasize we're looking for the length of a vector and we're not using absolute value bars.

The second equation ||u|| = (1/2)*||v|| can be rewritten into ||v|| = 2*||u|| telling us that vector v is twice as long compared to vector u. Since vector u is 5 units long, that must mean vector v is 10 units long.

The two vectors are orthogonal, i.e. they are perpendicular. The vector u+v represents the diagonal of the rectangle as shown below in the attached image. Vector u is horizontal, v is vertical, and u+v is the diagonal. Technically we don't know where vector u is pointed along a compass (it may or may not be pointing directly east), but I find it's easier to have it set up like this. The answer will be the same regardless of where vector u is pointed. Rotations don't affect vector lengths.

We can see that vector u+v effectively breaks down component-wise into the horizontal component u and vertical component v (think of them as x and y components respectively).

Furthermore, note how there are two right triangles that form when we draw in the diagonal of the rectangle.

To find the length of vector u+v, we apply the pythagorean theorem.

a^2+b^2 = c^2

( ||u|| )^2 + ( ||v|| )^2 = ( ||u+v|| )^2

( 5 )^2 + ( 10 )^2 = x^2

25 + 100 = x^2

125 = x^2

x^2 = 125

x = sqrt(125)

x = sqrt(25*5)

x = sqrt(25)*sqrt(5)

x = 5*sqrt(5) is the length of vector u+v

In other words, ||u+v|| = 5*sqrt(5)

Keep in mind that this trick using the pythagorean theorem only works when vectors u and v are orthogonal. The process to find ||u+v|| for non-orthogonal vectors u,v is a bit more complicated.

Answer:

c

Step-by-step explanation:

I just guessed, it makes sense

Answer:

17

a. 5^4 = 625

b. 3^4 = 81

18

a. log base 10000 , 10 = -4

b. log base 2, 1/2 = -1

19. Inverse represent opposite functions, when you plug one into the other using variables, the result should be x.

Step-by-step explanation: Remember that when converting, use the base of the log function as the base of exponent. The answer to the log function represents the value of the exponent. Hope this helps!

9/x = x/9

The answer is =9

The volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes is V = π∫ln 8eˣdx,

The volume of a solid generated by revolving a region about a line is calculated by using the method of slices.

In this case, we have a region in the first quadrant bounded by the coordinate axes, the curve y = eˣ and the line x = ln 8, which is being revolved about the line x = ln 8.

To find the volume of this solid, we need to take slices perpendicular to the line of rotation and calculate the area of each slice.

The volume can then be calculated by multiplying the area of each slice by its corresponding distance from the line of rotation and summing up the results.

The volume of this solid is calculated by the equation

=> V = π∫ln 8eˣdx,

where V is the volume of the solid, x is the distance from the line of rotation, and π is the constant pi

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Answer:

B. h(x) = -3x + 4.

Step-by-step explanation:

I am assuming that the vertical shift is upwards,

A refection in the x axis gives -3x

Vertical shift upwards of 4 gives -3x + 4.

Answer:

Grace can expect to rent an apartment with a size of approximately 710.32 square feet for $1,500 per month based on the given linear regression equation.

Step-by-step explanation:

The given linear regression equation is y=0.775x+950.25, where x represents the square footage of the apartment and y represents the monthly rental price. To find the size of the apartment Grace can expect to rent for $1,500 per month, we can substitute y with 1,500 in the equation and solve for x:

1,500 = 0.775x + 950.25

0.775x = 1,500 - 950.25

0.775x = 549.75

x = 710.32

Therefore, Grace can expect to rent an apartment with a size of approximately 710.32 square feet for $1,500 per month based on the given linear regression equation.

Answer:

$121.95

Step-by-step explanation:

The cost of the same journey before midnight is,

⇒ $58

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

We have to given that;

After midnight, the cost of any taxi journey increases by 45%.

And, One journey costs $84.10 after midnight.

Now, Let the cost of the same journey before midnight is x

Hence, WE can formulae;

x + 45% of x = 84.10

x + 0.45x = 84.10

1.45x = 84.10

x = $58

Thus, The cost of the same journey before midnight is,

⇒ $58

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Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

The solution for csc θ sin θ = 1 corresponds to option b. all θ except θ = 2rn for n = 0, ±1, ±2, ...

To find all solutions of the equation cscθ sinθ = 1, let's first recall the definitions of cscθ and sinθ. The cosecant function, cscθ, is the reciprocal of the sine function, sinθ. So, cscθ = 1/sinθ.

Now, we can rewrite the equation using this definition:
(1/sinθ) * sinθ = 1

When we multiply (1/sinθ) by sinθ, we get:
1 = 1

This equation is true for all values of θ except when sinθ = 0, as division by zero is undefined. The sine function is equal to 0 at θ = nπ, where n is an integer (0, ±1, ±2, ...).

Therefore, the solution to the equation cscθ sinθ = 1 is all θ except θ = nπ for n = 0, ±1, ±2, ... which corresponds to option b.

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Step-by-step explanation: Okay so ther is 2 blue and 1 red and 5 white. 1/8 chance you would get red and then 2nd try 2/8 chance so... Im pretty sure its 1/32

Answer:

-34

Step-by-step explanation:

3 - 16 / 2 * 5 + 3

Division first

= 3 - 8 * 5 + 3

Then multiplication

= 3 - 40 + 3

Then addition

= 6 - 40

Then subtraction

= - 34

Answer: X=10

Step-by-step explanation:

Answer:

Step-by-step explanation:

the given triangles are not similar

so they will not be congruent

so the answer is not similar

Answer:

Figure 2 and 3 are correct

Step-by-step explanation:

This question is incomplete, the figures are attached.

Number of cans of beans bought by Emery = 3

Total weight of cans = 2.4 pounds

Therefore the weight of each can = 2.4/4 = 0.8 pounds

The can be represented by the equation:

y = 0.8x,   where x is the number of cans and y represents the total weight

From the graph of figure 1, weight of each can =  20/16 = 1.25 pounds. This is not correct

From the graph of figure 2, weight of each can =  8/10 = 0.8 pounds. This is correct

From the table of figure 3, weight of each can =  4/5 = 0.8 pounds. This is  correct

From the table of figure 4, weight of each can =  5/4 = 1.25 pounds. This is not correct

Answer:

See Below

Step-by-step explanation:

angle BAK = 128

Find KAS

180 - 128 = 52

KAS = 52

find BKA and ABK

360 -128 = 232

232/2 = 116

BKA =116

ABK = 116

find AKS

180 - 116 = 64

AKS =64

Now you have KAS and AKS

add together and subtract sum from 360 to find BSK

52 + 64 = 116

360 - 116 =244

Let me know if incorrect, plz.

Hope this helps=)

Answer:

16 cm3

Step-by-step explanation:

4 x 4 x 8 = 128

2 x 2 x 4 = 16

Answer:16 cm

Step-by-step explanation:

Answer:

The correct expression to represent the three consecutive integers whose sum is 21 will be:

Step-by-step explanation:

Let 'a' be the first number

so

a + (a+1) + (a+2) are the three consecutive integers.

Given that the sum of three consecutive integers is 21.

so

a + (a+1) + (a+2) = 21

3a + 3 = 21

subtracting 3 from both sides

3a + 3 - 3 = 21 - 3

3a = 18

a = 6

Therefore, the correct expression to represent the three consecutive integers whose sum is 21 will be:

Note: your option answers are a little unclear, but I hope you may have got an idea about this concept.

Answer:

A) 22%

Step-by-step explanation:

probabilities of selecting:

starburst = .40

jolly = .18

milky = .20

These probabilities total 78% which means the other 22% must be what remains for snickers.

Answer:

Add 7 cubes to the big square and 1 cube to the three square strip on the bottom of the big square in Step 3

Sorry if the answer is unclear, I tried my hardest to explain it properly. Please tell me if it's right, and if it is, I would appreciate a Brainliest.

(I added an image of what the answer might be)

The pattern

For top

For beneath

Look

for 1 there is 1

for 2 there is 2²=4

for 3 there is 3²=9

So for 4

Answer:

(1,2)

Step-by-step explanation:

to find the midpoint of a line you have to find the midpoint of the x and the y

x is -2 and 4 the midpoint is 1

y is 1 an 3 the midpoint is 2

(1,2)

Answer:

f(- 7) = 16

Step-by-step explanation:

substitute x = - 7 into f(x) , that is

f(- 7) = (- 7)² + 3(- 7) - 12 = 49 - 21 - 12 = 28 - 12 = 16