Which is equivalent to 4(x + 7)?
0 4x + 7
0 4x + 28
O 4 + 28
O4 + 7x

Answer:

14 %

Step-by-step explanation:

rate of commission

\(=\frac{378}{2700} \times100\\=14 ~\%\)

Answer:

D) 12 apples

Step-by-step explanation:

2/3 = 8 apples

1/3 = 8 apples ÷ 2

= 4 apples

3/3 = 4 apples × 3

= 12 apples

Answer: third option 60t + 24t

Step-by-step explanation:

Answer: 60\(x^{3}\)-24\(x^{2}\)

Step-by-step explanation:

21104 in hexadecimal number is: 5290Therefore, the last 5 digits of the college ID in binary number is 101001001000000 and in hexadecimal number is 5290.

Binary is the simplest kind of number system that uses only two digits of 0 and 1 (i.e. value of base 2). Since digital electronics have only these two states (either 0 or 1), so binary number is most preferred in modern computer engineer, networking and communication specialists, and other professionals.

Whereas Hexadecimal number is one of the number-systems which has value is 16 and it has only 16 symbols − 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 and A, B, C, D, E, F. Where A, B, C, D, E and F are single bit representations of decimal value 10, 11, 12, 13, 14 and 15 respectively.

First, let's find the last 5 digits of the college ID

:21104

Now let's convert the last 5 digits of the college ID into binary number:21104 in binary number is:

101001001000000

Then let's convert the last 5 digits of the college ID into hexadecimal number:21104 in hexadecimal number is:

5290

Therefore, the last 5 digits of the college ID in binary number is 101001001000000 and in hexadecimal number is 5290.

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The value of p in the given equation is -1.

Given is an equation p-3 = -4, we need to find the value of p,

So,

p-3 = -4

p = -4+3

p = -1

Hence, the value of p in the given equation is -1.

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The interpretation of the given compound interest expression is:

2400 is the amount of initial deposit

1.03 is the amount

12t is the number of times the account has compounded since it opened

The formula for compound interest is:

A = P(1 + (r/t))^(nt)

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

We are given the equation as:

S = 2400(1.03)^(12t)

Thus:

2400 is the amount of initial deposit

1.03 is the amount

12t is the number of times the account has compounded since it opened

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Answer:

x=3

y=12

Table:

x=3,6,9,12

y=12,24,36,48

Step-by-step explanation:

Answer:

C.

Cheesecakes     Blocks

3                           12

4                           16

5                          20

Step-by-step explanation:

3 cheesecakes for every 12 blocks of cheese

is the same as

1 cheesecake for every 4 blocks of cheese

The table must have in each line 4 times more blocks than cheesecakes.

C.

Cheesecakes     Blocks

3                           12

4                           16

5                          20

We know that, Congruent Triangles always have same size, angles and shape, just then only they are congruent to each other, by various criterions such as

1.) SAS 2.) AAS 3.) RHS 4.) SSS 5.) ASA

so the correct option is D.)

D.) size and shape

The scale factor from Figure A to Figure B is equal to 3.

In Geometry, the scale factor of a geometric figure can be calculated by dividing the dimension of the image (new figure) by the dimension of the pre-image (original figure):

Scale factor = Dimension of image (new figure)/Dimension of pre-image(actual figure)

Substituting the given parameters into the scale factor formula, we have the following;

Scale factor = Dimension of image (new figure)/Dimension of pre-image(original figure)

Scale factor = 9/3 = 3/1

Scale factor = 3.

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(A) The pieces of information that is provided by the box plots are the median and first quartile.

(B) The interquartile range is 22.50.

(C) An outlier would distort the values of the median and the quartiles.

A box plot is used to study the distribution and level of a set of scores. The end of the first line represents the minimum number and the end of the second line represents the maximum number.

The difference between the upper and lower quartile is known as the interquartile range. The formula for the interquartile range are:

Interquartile range  = Upper Quartile – Lower Quartile = \(Q_3-Q_1\)

Interquartile range = 60 - 37.50 = 22.50

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The given question is incomplete, complete question is:

The box plot below shows the total amount of time, in minutes, the students of a class surf the Internet every day: Part A: List two pieces of information that are provided by the graph and one piece of information that is not provided by the graph. (4 points)

Part B: Calculate the interquartile range of the data, and explain in a sentence or two what it represents. (4 points)

Part C: Explain what affect, if any, there will be if an outlier is present. (2 points)​

Answer:

The slope of this line is 1/4

Step-by-step explanation:

this is because the line has a rise of one and a run of 4. It is positive because y increases as x increases.

Answer: 3 over 12 or 1 over 4

Step-by-step explanation:

From the first point to the second you have to count up 1 and over 4, to get to the third point from the first it’s up 3 and over 12. This is the easiest method for me but there are others

The statement "It is rigid because all side lengths and angles are congruent" is true.

In mathematics, a transformation is considered rigid if it preserves distances and angles. For example, a translation, rotation, or reflection is a rigid transformation because it preserves distances and angles. If a transformation preserves side lengths and angles, then it is considered rigid, regardless of whether the side lengths and angles are congruent or not.

Answer: A. it is rigid because all side lengths and angles are congruent.

Step-by-step explanation: RIGHT ON EDGE 2023

Answer: I remember this question very well. I believe that the correct answer is 99.7%

68% of data falls between 15 and 25.

95% of data falls between 10 and 30.

99.7% of data falls between 5 and 35.

The park's total water use when the new attraction is built will be 2406.8  × 10³gallons.

Logic is the manipulation of mathematical signifiers, whereas algebra is the study of those signifiers.

The PEMDAS concept stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This guideline must be adhered to in order to provide an accurate solution to the issue.

Total water consumption for a water park's pools, slides, and other features is 2.4 *10⁶ gallons. A ride that would use an additional 6.8 × 10³gallons of water is planned.

Following the completion of the new attraction, the park will have utilized a total of

⇒ 2.4 × 10⁶ + 6.8 × 10³

⇒ 2400 × 10³ + 6.8 × 10³

⇒ 2406.8 × 10³

After the new attraction is constructed, the park will have used 2406.8 × 10³ total gallons of water.

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The nurse should instruct the client to clean and dry the diaphragm thoroughly before and after use, avoid leaving the diaphragm in place for longer than recommended, and to seek medical attention immediately if symptoms of TSS develop such as fever, vomiting, and a rash.

Additionally, the nurse should advise the client to avoid using the diaphragm during menstruation as this may increase the risk of TSS. It is important to note that while TSS is rare, it is a potentially life-threatening condition and clients should be educated on how to minimize their risk.
The nurse should inform the female client using a contraceptive diaphragm about the following points to reduce the risk of Toxic Shock Syndrome (TSS):
1. Avoid wearing the diaphragm for prolonged periods - do not exceed 24 hours of continuous use.
2. Properly clean and store the diaphragm when not in use to prevent bacterial growth.
3. Change the contraceptive gel or spermicide with each use and after 6 hours if needed.
4. Monitor for symptoms of TSS, such as fever, rash, vomiting, or diarrhea, and contact a healthcare provider if these occur.
5. Practice good personal hygiene and maintain a healthy lifestyle to boost the immune system.
Remember, it's essential to follow these guidelines to minimize the risk of TSS while using a contraceptive diaphragm.

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Answer:

36

Step-by-step explanation:

12 times 3 = 36

The dotplot depicts that Only 12% of the values of x were 64.7 or greater. Because this is such a small percentage it would be surprising to get a sample mean of 64.7 or larger in an SRS of size 20 from a Normal population with μ = 64 and σ = 2.5.

The dotplot shows that only 12% of the simulated sample means were 64.7 or greater. This means that it is unlikely to get a sample mean of 64.7 or greater if the population mean is actually 64. In other words, the evidence suggests that the population mean height is greater than 64 inches.

The dotplot shows the distribution of the sample means of 250 simulated samples of size 20. The population mean is 64 and the population standard deviation is 2.5.

The fact that only 12% of the simulated sample means were 64.7 or greater means that it is unlikely to get a sample mean of 64.7 or greater if the population mean is actually 64.

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The linear approximation of F at (Pi, 0) is \(-Pi^2cos^2(Pi).\)

To discover the linear approximation of the given function at (Pi, 0), we need to first discover the partial derivatives of the function with respect to x and y evaluated at (Pi, zero).

Partial derivative of F with recognize to x:

∂F/∂x = -2sin(x)cos(x)

evaluated at (Pi, 0):

∂F/∂x(Pi, 0) = -2sin(Pi)cos(Pi) = 0

Partial derivative of F with recognize to y:

∂F/∂y = 1/(2√y)

evaluated at (Pi, 0):

∂F/∂y(Pi, 0) = 1/(2√0) = undefined

For the reason that partial derivative of F with respect to y is undefined at (Pi, 0), we can't use the multivariable Taylor collection to discover the linear approximation. as an alternative, we will use the formula for the linear approximation:

\(L(x,y) = f(a,b) + ∂f/∂x(a,b)(x-a) + ∂f/∂y(a,b)(y-b)\)

Wherein (a,b) is the factor at which we want to find the linear approximation.

In this case, a = Pi and b = 0. So, the linear approximation is:

\(L(x,y) = F(Pi, 0) + ∂F/∂x(Pi, 0)(x - Pi)\)

\(L(x,y) = sqrt(0) + (cos(Pi))^2(0 - Pi)\)

\(L(x,y) = -Pi^2cos^2(Pi)\)

Consequently, the linear approximation of F at (Pi, 0) is \(-Pi^2cos^2(Pi).\)

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A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

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Glacial HVAC, Inc. had a relative market share of 54.39% in Fulton County in 2010, based on the sale of 3,295 air conditioning units, compared to their largest competitor, Estes Heating and Air.

To calculate the relative market share, we need to divide Glacial HVAC's sales by the total market sales. The formula for relative market share is:

Relative Market Share = Glacial HVAC's Sales / Total Market Sales.

In this case, Glacial HVAC sold 3,295 units, and their largest competitor, Estes Heating and Air, sold 2,759 units. So the total market sales would be the sum of these two figures, which is 3,295 + 2,759 = 6,054 units.

Now, we can calculate the relative market share:

Relative Market Share = 3,295 / 6,054 * 100%.

Evaluating the expression, we find that Glacial HVAC's relative market share is approximately 54.39% when rounded to two decimal places.

This means that Glacial HVAC had a market share of 54.39% in Fulton County in 2010, indicating their position in the market relative to their largest competitor.

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Answer:

y+5=2⋅(x+2)

Step-by-step explanation:

Answer: 40 cm

Step-by-step explanation: 2/5 x 100 =

200/5 = 40

2. The area of the cabin's window is 196 square inches.

3. The area of the doghouse is  32.5 square ft.

4. The farmer should purchase 2 begs of soil.

5. The artist needs 161.5 square in material to make the kite.

What is a trapezoid?

A polygon with only one set of parallel sides is called a trapezoid. The parallel bases of a trapezoid are another name for these parallel sides. Trapezoids have two additional sides that are not parallel and are referred to as their legs.

Trapezoids are defined differently by different people. A trapezoid can have one and only one pair of parallel sides, according to one school of mathematics, while another contends that a trapezoid can have multiple pairs of parallel sides. If we take into account the second definition, then a parallelogram is also a trapezoid by that definition. However, the first definition excludes parallelograms from the definition of a trapezoid since it is one of the quadrilateral types that we have already mentioned.

2. The formula for the area of a trapezoid is 1/2 × (sum of parallel side) × height.

The length of one parallel side is 10 inches. The length of the other parallel side is (10+4+4) inches = 18 inches.

The height of the trapezoid is 14 inches

The area of the trapezoid is 1/2 ×(10 + 18) × 14

= 196 square inches.

3.

The formula for the area of a trapezoid is 1/2 × (sum of parallel side) × height.

The length of one parallel side is 5 ft. The length of the other parallel side is (5+3) ft = 8 ft.

The height of the trapezoid is 5 ft.

The area of the trapezoid is 1/2 ×(5 + 8) × 5

= 32.5 square ft.

4.

The area of a parallelogram is the product of height and base.

The length of the base is (2.5 yards + 6.5 yard) = 9 yards

The height of the parallelogram is 6 yards.

The area of the parallelogram is 9 yards × 6 yards

= 54 square yards

Each beg can cover 40 square yards field.

The number of begs that the farmer need is 56/40 = 1.4  ≈2

5.

The area of the kite is half of the product of diagonals.

The length of diagonals are (8.5 in + 8.5 in) = 17 in and (6 in  + 13 in) = 19 in

The area of the kite is (17×19)/2 = 161.5 square in.

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Answer:

110 - 2x

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

x + 50 + 5x - 40 + 110 - 2x = 180, that is

4x + 120 = 180 ( subtract 120 from both sides )

4x = 60 ( divide both sides by 4 )

x = 15

Thus

x + 50 = 15 + 50 = 65°

5x - 40 = 5(15) - 40 = 75 - 40 = 35°

110 - 2x = 110 - 2(15) = 110 - 30 = 80°

The largest angle is (110 - 2x)° = 80°

The first six digits of the mathematical sign PI are 3.14159.

Pi is a mathematical constant that is commonly used in geometry and trigonometry. The number is defined as the ratio of a circle's circumference to its diameter, and it is approximately 3.14159.

The value of PI has been computed to millions of decimal places, but the first six digits, which are 3.14159, are the most often used in computations.

The first six digits of the mathematical sign PI are 3.14159. These digits are frequently used to calculate the value of a circle's circumference or area. Pi is irrational, which means it can't be expressed as a fraction of two integers, and it goes on indefinitely without repeating.

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Answer:

I had the same problem on imagine math too. The answer for the first part is 120=48+6p. The answer for the second one is 12 Because 12 x 6=72 + 48 = 120.

Step-by-step explanation:

Answer:

XY = 30 units

∠XYZ = 90°

Step-by-step explanation:

The term congruent means to be in the exact same shape or size thus,

WX = XY and ∠ZWX = ∠XYZ