Britannya has a scale drawing of the first floor of her home. If each 2 in on the scale drawing equals 24 ft, what is the perimeter of Britannya's bedroom room?

Answer:

B

Step-by-step explanation:

Yes, because for each input there is exactly one output. You can have two of the same x values but you cannot have 2 of the same y values. if you have two of the same y values, it is not a function as it doesn't pass the vertical line test.

Answer:

We use the rule,

\((a^b)^c = a^{bc}\)

a. (10^7)²

\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)

10^14

b. (10^9)³

\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)

10^27

c. (10^6)³

\(10^{(6)(3)}= 10^{18}\)

10^18

d. (10^2)³

\(10^{(2)(3)} = 10^{6}\)

10^6

e. (10³)²

\(10^{(3)(2)}=10^{6}\)

10^6

f. (10^5)^7

\(10^{(5)(7)} = 10^{35}\)

10^35

Step-by-step explanation:

Answer:

\(y =\frac{x}{4}\)

Step-by-step explanation:

We are given several functions, and we want to figure out which one is linear.

A linear function has both of its variables (x and y) with a power of 1. Variables with other powers do not mean that the function is linear.

Let's go through the list.

Starting with \(y=\frac{3}{x} -7\), we can see that x is in the denominator. If this is the case, it means that the power of x is -1.

Even though y has a power of 1, this is NOT linear, because x has a power of -1.

Now, with y=√x-2, this is also not linear. This is because √x = \(x^\frac{1}{2}\), even though y has a power of 1.

For x² - 1 = y, we can clearly see that x has a power of 2, while y has a power of 1. This means that the function is not linear.

This leaves us with \(y = \frac{x}{4}\). x is in a fraction, however it is not in the denominator. This means that the power of x in this function is 1. We can also see that the power of y in this function is 1.

This means that \(y=\frac{x}{4}\) is linear.

Answer:

Step-by-step explanation:

yes

Answer:

is the b

Step-by-step explanation:

i did the correct operation oki?

Answer:

D

Step-by-step explanation:

The completely factored form is 6x² (3x - 4) (x - 1).

Option D is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

18\(x^4\)– 42x³ + 24x²

Now,

The common factor of 18, 42, and 24 is 6.

And x² is common to all the terms.

So,

6x² (3x²– 7x + 4) _____(1)

Now,

(3x²– 7x + 4)

3x² - (4 + 3)x + 4

3x² - 4x - 3x + 4

x(3x - 4) - 1(3x - 4)

(3x - 4) (x - 1) ______(2)

Now,

From (1) and (2) we get,

6x² (3x - 4) (x - 1)

Thus,

6x² (3x - 4) (x - 1) is the completely factored form.

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Answer:

jesse or sam i think its sam by a little bit.

Step-by-step explanation:

Answer:

Sam

Step-by-step explanation:

Find all of their speeds to find how far they will go in 1 minute, by dividing the number of kilometers by the number of minutes:

Sam

4.2/6

= 0.7 km/min

Amanda

3.2/8

= 0.4 km/min

Jesse

3/5

= 0.6 km/min

Since 0.7 is the greatest number, that means Sam is the rider that will go the farthest in one minute.

3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.

4. The cake takes up approximately 7317 cubic inches of space.

5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.

1. The units for Volume are always cubed.

2. Volume is the amount of space an object takes up. True.

3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:

V = 3.14 * (4.5)^2 * 32

V = 3.14 * 20.25 * 32

V ≈ 2034.72 cubic inches

4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.

Tier 1:

V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches

Tier 2:

V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches

Tier 3:

V3 = 3.14 * (5)^2 * 10 = 785 cubic inches

Total volume:

Total V = V1 + V2 + V3

Total V = 4521.6 + 2010.4 + 785

Total V ≈ 7317 cubic inches

5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:

V = (1/3) * 3.14 * (24)^2 * 12

V = (1/3) * 3.14 * 576 * 12

V ≈ 7234.08 cubic centimeters

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The tip Maria would leave today is $1,89.

The first step is to determine the rate of the tip. In order to determine the rate, divide the tip on the lunch yesterday by the cost of the lunch yesterday.

Division is the process used to part a number into equal groups using another number. Division is used to determine the quotient of a number. The sign used to represent division is ÷.

Rate of the tip = tip / cost of the lunch

1.26 / 8.49 = 0.14841

The tip Maria would pay today today can be determined by multiplying the rate of the tip by the cost of the lunch today.

Tip paid today = cost of the lunch today x rate of tip

12.75 x 0.14841 = $1.89

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The approximate area of the mulch around the merry-go-round is 126.228 feet².

Diameter of the merry go round = 10.4 feet

Radius is half of the diameter.

Radius of the merry go round = 10.4/2 = 5.2 feet

Before the piece can be installed, a solid circular pad of mulch must be put down which extends 3 feet beyond the edge of the merry-go-round.

Radius of the merry go round with mulch = 5.2 + 3 = 8.2 feet

Total area of the merry go round with the mulch is,

Area = π (8.2)² = 67.24π feet²

Area of the merry go round = π (5.2)² = 27.04π feet²

Area of the mulch = 67.24π feet² - 27.04π feet² = 40.2π = 126.228 feet²

Hence the required area is 126.228 feet².

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Answer:

g = 7 + 13x-1 + -5x + x2

Step-by-step explanation:

Simplifying

g(x) = x3 + -5x2 + 7x + 13

Multiply g * x

gx = x3 + -5x2 + 7x + 13

Reorder the terms:

gx = 13 + 7x + -5x2 + x3

Solving

gx = 13 + 7x + -5x2 + x3

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Divide each side by 'x'.

g = 13x-1 + 7 + -5x + x2

Simplifying

g = 13x-1 + 7 + -5x + x2

Reorder the terms:

g = 7 + 13x-1 + -5x + x2

Answer:sales tax rate would be 0.1

using the formula

Sales tax rate = Sales tax percent / 100

Answer:

X=17

Step-by-step explanation: You would first group like terms. Then you would do 6-7. Then you would add 1 to both sides and get X=17.

Answer:

x=17

Step-by-step explanation:

Groups like terms

x+6-7=16

Subtract the numbers: 6-7= -1

x-1=16

Add 1 both sides

x-1+1=16+1

Simplify

x=17

Answer:

3x²

Step-by-step explanation:

0.482 to 1sf is 0.5

61.2x² to one sf is 60x²

√98.01 to 1sf is √100

√100 = 10

0.5 x 60x² = 30x²

30x² / 10 = 3x²

If a translation of T (2, -7) is applied to the triangle ABC as shown in the figure attached hereby for reference, and B (1, 5) gets repositioned to B', then the current coordinates of B' are (3, -2).

As per the question statement, a translation of T (2, -7) is applied to the triangle ABC as shown in the figure attached hereby for reference, and B (1, 5) gets repositioned to B'.

We are required to calculate the coordinates of B'.

To solve this question, we need to know what Translation (a, b) to (x, y) and (-a, -b) to (x, y) means. Translation (a, b) to (x, y) means the abscissa "x" is to be shifted to the right by "a" units while the ordinate "y" is to be shifted to the right by "b" units, i.e., after translation, the new coordinates become [(a + x), (b + x)]. On the other hand, Translation (-a, -b) to (x, y) means the abscissa "x" is to be shifted to the left by "a" units while the ordinate "y" is to be shifted to the left by "b" units, i.e., after translation, the new coordinates become [(a - x), (b - x)].

Here, as per the above mentioned concept, a translation of T (2, -7) if applied to the point B (1, 5), the new point B' will be at \([(1+2), (5+(-7)]=[3, (-2)]\).

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Answer: D (3,-12)

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

       Pick any two points on the line.

       (3 , 0) ⇒ x₁ = 3 & y₁ = 0

        (0,-2) ⇒ x₂ = 0 & y₂ = -2

Find the slope using the formula,

      \(\boxed{\bf Slope =\dfrac{y_2-y_1}{x_2-x_1}}\)  

                   \(\sf =\dfrac{-2-0}{0-3}\\\\\\=\dfrac{-2}{-3}\\\\\\=\dfrac{2}{3}\)

      Slope-point form of a line: y - y₁ = m(x - x₁)

Substitute slope and the point in the above equation,

              \(y - 0 = \dfrac{2}{3}(x - 3)\\\\ ~~~~~~ y= \dfrac{2}{3}x-\dfrac{2}{3}*3\\\\\\~~~~~~\boxed{ y = \dfrac{2}{3}x-2}\)

This is in slope intercept form: y = mx + b.

The speed formula is given by:

Where d is the distance traveled in t hours. From the problem, we know that:

Using the speed formula, we can get the distance formula:

Now, at this rate (v = 65 mi/h), the distance traveled in 6 hours is:

She will travel 390 miles in 6 hours.

Answer:

236,000

Step-by-step explanation:

When rounding to thousands, if the hundred is 500 or over, you round up. If it is less, round down.

Answer:

Hey! The answer is 236,000.... steps will be below!

Step-by-step explanation:

Since there is 5,674 it is more closer to 6,000 than 5,000

So we change the number to 236,000

ANSWER TO YOUR QUESTION: 236,000

Hope this helps! :)

⭐️Have a wonderful day!⭐️

Answer:

x = 25

Step-by-step explanation:

The interior angle adjacent to the 123° angle is supplementary to it.

Its measure is 180° - 123° = 57°

The sum of the measures of the interior angles of a polygon is

(n - 2)180° = (4 - 2)180° = 2(180°) = 360°

3x + 7 + 96 + 5x + 57 = 360

8x + 160 = 360

8x = 200

x = 25

(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.

(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.

(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:

- Servings of Campbell's Pork & Beans: 4 servings.

- Slices of "lite" rye bread: 15 slices.

By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).

Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.

(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:

- Number of slices of bread (Bread): A divided by 4.

- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).

Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.

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For the Question"The sum of income of A and B is more than...", B's income is the highest.

This is further explained below.

money obtained, particularly on a consistent basis, as a result of one's employment or investments.

Generally, the equations are mathematically given as

A+B  >  C+D

A+C  =  B+D

Hen

A= 2B+D

so from (2) we get C=  2

B+D =A

When we enter A and C into (1), we get the following:

B>D

We may deduce from premises (1) and (2) that C and B

So, B>C=A and B>D.

In conclusion, B's income is the highest.

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Based on these considerations, it is necessary to assess the specific layout plan and the surrounding environment to determine whether the copier is suitably placed in room (3) at Hills Secondary.

To determine whether the copier is suitably placed in room (3) at Hills Secondary, we need to consider factors such as accessibility, noise, and convenience.

Firstly, we need to evaluate the accessibility of the copier in room (3). Is it easily accessible for all students and staff who need to use it? If the copier is located in a central position within the school or close to high-traffic areas, it would be considered suitable.

However, if it is tucked away in a corner or not easily visible, it may cause inconvenience and hinder access for users.

Secondly, we should consider noise levels. Copiers can be noisy machines, and if room (3) is located near classrooms or areas where students require a quiet environment, it may not be an ideal placement. Noise disturbances could disrupt learning activities and cause distractions.

Lastly, convenience plays an important role. Room (3) should be spacious enough to accommodate the copier and allow users to operate it comfortably. If the room is cramped or lacks proper ventilation, it may cause inconvenience for users and impact the overall workflow.

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Answer:

Step-by-step explanation:

The sum of exterior angles in a quadrilateral is always 360 degrees.

So, 2x+x+4x+3x=10x=360

Soling for x, we get x=36 degrees.

The following information regarding a dependent variable (Y) and an independent variable (X) is provided in the following blanks in the image below.

A dependent variable is the variable that changes as a result of the independent variable manipulation. It's the outcome you're interested in measuring, and it “depends” on your independent variable. In statistics, dependent variables are also called: Response variables (they respond to a change in another variable) a) least square estimate of the Y intercept  =2 b)least squares estimate of the slope is =1 c)coefficient of determination is  1-SSE/SST =0.625 d)coefficient of correlation is =(0.625)1/2 =0.7906 e) MSE =SSE/(n-2) =6/(5-2) =2

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Answer:

Step-by-step explanation:

so u have to mulpie the all of the he money bey step by step in till u get the answer

Step-by-step explanation:

5x = 360-140

5x= 220

x= 220/5

x= 44°

Answer:

x = 44

Step-by-step explanation:

All the angles on a point add up to 360°. Thus:

2x + 3x + 140 = 360

You can merge the x together and simplify the equation.

5x + 140 = 360

Isolate the 5x.

5x = 360 - 140

    = 220

Now we can find x.

x = 220 ÷ 5

  = 44

Answer:

Step-by-step explanation:

This is a composite function, in which we will first evaluate the s function at a value of 2, then we will use that value in the t function.

s(2) = 5(2)+ 5 so

s(2) = 15. Now we evaluate the t function at 15:

t(15) = 3(15) + 4 so

t(15) = 49