How do you divide whole numbers step by step?

Answer: B  1/2

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

ok so im really bad at explaining but ill try my best.

so since its asking you to fiure out how much he watched in total, youre going to have to add.

for one of the videos he watched 5/8 mins and for the other 1/8 mins.

5/8 + 1/8= 6/8

and since its asking for its simplest form youre gong to have to simplify it

6/8=3/4

i hoped this helped :)

The linear equation of Johnny's charges is C(x) = 10 + 7.5x

From the question, we have the following parameters that can be used in our computation:

Initial charge = $10

Hourly rate = $7.50

Let the number of hours be x and the total cost be C(x)

So, we have the following representation

C(x) = Initial charge + Hourly rate * x

Substitute the known values in the above equation, so, we have the following representation

C(x) = 10 + 7.5x

Hence, the function is C(x) = 10 + 7.5x

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Complete question

Johnny charges $10 plus $7.50 per hour to mow lawns.

Determine the linear equation

In a plane, two circles can intersect in two points, one point, or no points. Coplanar circles that intersect in one point are called tangent circles. Coplanar circles that have a common center are called concentric circles.

The tangent of an angle in trigonometry is the ratio of the lengths of the adjacent side to the opposing side. In order for the value of the cosine function to not be 0, it is the ratio of the sine and cosine functions of an acute angle.

When two or more objects have the same center or axis, they are said to be concentric, coaxal, or coaxial in geometry. Concentric to one another (sharing the same center point) are circles, regular polygons, regular polyhedra, spheres, and cylinders.

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Answer:

Each pen is 2.20

Step-by-step explanation:

We first need to find the total cost of the pens

20.50 - 2.90 = 17.60

Now we can divide by the number of pens purchased.

17.60 / 8

2.20

Each pen is 2.20

Answer:

$ 2.20

Step-by-step explanation:

First, let us find the total cost of pens.

$ 20.50 - $ 2.90 = $ 17.6

And now let us find the cost per pen.

For that, let the cost of a pen be x.

Number of pens Cost

8 $ 17.6

1 x

Use cross multiplication and find the value of x.

8x = 1 × 17.6

8x = 17.6

Divide both sides by 8.

x = $ 2.2

Therefore,

Cost of a pen is $ 2.20

Answer:

The length of line segment FG is equal to the length of F'G'

The perimeter of pentagon CDEFG is equal to the perimeter of pentagon C'D'E'F'G.

Step-by-step explanation:

Given

CDEFG and C'D'E'F'G

Translation: 7 units up and 5 units left

Solving (a): Segment FG and F'G'

When a shape is translated, the resulting image will have the same lengths as the original image (i.e, translation does not change measurements)

Hence:

\(FG = F'G'\)

Solving (b): Perimeter CDEFG and C'D'EF'G'

In (a), we established that lengths do not change during translation;

Hence:

The perimeter of the CDEFG and C'D'EF'G' will remain the same

Answer:

Consider the figure.

Given,

AB is equal to the radius of the circle.

In △OAB,

OA=OB=AB= radius of the circle.

Thus, △OAB is an equilateral triangle.

and ∠AOC=60°.

Also, ∠ACB=

2

1

∠AOB=

2

1

×60°=30°.

Since, ACBD is a cyclic quadrilateral,

∠ACB+∠ADB=180° ....[Opposite angles of cyclic quadrilateral are supplementary]

⇒∠ADB=180°−30°=150°.

Thus, angle subtend by the chord at a point on the minor arc and also at a point on the major arc are 150° and 30°, respectively

The answer to this question is none of the given options (A, B, C, D, or E).To find the maximum perimeter of a square that can fit inside a circle of radius 5 cm, we need to consider that the diameter of the circle is equal to the diagonal of the square.

This means that the side of the square will be equal to the radius of the circle multiplied by the square root of 2 (since the diagonal of a square is the side length times the square root of 2).

So, the side length of the square will be 5 cm x √2 = 7.07 cm. And since a square has four sides of equal length, the perimeter of the square will be 4 x 7.07 cm = 28.28 cm.

However, this perimeter is greater than the circumference of the circle with radius 5 cm, which is 2 x π x 5 cm = 31.42 cm. This means that the square cannot fit entirely inside the circle.

Therefore, the answer to this question is none of the given options (A, B, C, D, or E).

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The slope of the line tangent to the curve y = x^3 - 36x + 4 at the point (6, 4) is 72 (option c).

To find the slope of the tangent line at a specific point on the curve, we need to find the derivative of the function and evaluate it at that point.

Taking the derivative of the given function y = x^3 - 36x + 4 with respect to x, we get dy/dx = 3x^2 - 36.

To find the slope at the point (6, 4), we substitute x = 6 into the derivative: dy/dx = 3(6)^2 - 36 = 3(36) - 36 = 72 - 36 = 36.

Therefore, the slope of the tangent line to the curve at the point (6, 4) is 36. Since none of the provided options match, it seems there might be a mistake in the options given. The correct answer based on the explanation is 36, not 72 as indicated in the options.

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Answer:

12

Step-by-step explanation:

3.60/0.30=12

The pair of figures having same volume are:

a. The cylinder has a radius of 3 units and a height of 8 units ; The cone has a radius of 6 units and a height of 6 units.

b. The cone has a radius of 8 units and a height of 9 units ; The cylinder has a radius of 4 units and a height of 12 units.

c. The rectangular prism length is labeled 16 units, width of 6 units, and height of 6 units ; The rectangular prism length is labeled 8 units, width of 8 units, height of 9 units.

What is volume of a figure?

Volume is a unit of measurement for three-dimensional space. It is usually stated quantitatively in terms of a number of imperial or US-standard units as well as SI-derived units.

i. The cone has a radius of 4 units and a height of 12 units.

⇒ Volume = π\(r^{2} \frac{h}{3}\)

⇒ Volume = π\(4^{2} \frac{12}{3}\)

⇒ Volume = 64 π

⇒ Volume = 201 cubic units

ii. The rectangular prism has a length of 18 units, a width of 6 units, a height of 6 units.

⇒ Volume = length * width * height

⇒ Volume = 18 * 6 * 6

⇒ Volume = 648 cubic units

iii. The rectangular prism length is labeled 16 units, width of 6 units, and height of 6 units.

⇒ Volume = length * width * height

⇒ Volume = 16 * 6 * 6

⇒ Volume = 576 cubic units

iv. The cylinder has a radius of 3 units and a height of 8 units.

⇒ Volume = π\(r^{2}\)h

⇒ Volume = π\(3^{2}\) * 8

⇒ Volume = 72 π

⇒ Volume = 226 cubic units

v. The cone has a radius of 8 units and a height of 9 units.

⇒ Volume = π\(r^{2} \frac{h}{3}\)

⇒ Volume = π\(8^{2} \frac{9}{3}\)

⇒ Volume = 192 π

⇒ Volume = 603 cubic units

vi. The rectangular prism length is labeled 8 units, width of 8 units, height of 9 units.

⇒ Volume = length * width * height

⇒ Volume = 8 * 8 * 9

⇒ Volume = 576 cubic units

vii. The cylinder has a radius of 4 units and a height of 12 units.

⇒ Volume = π\(r^{2}\)h

⇒ Volume = π\(4^{2}\) * 12

⇒ Volume = 192 π

⇒ Volume = 603 cubic units

viii. The cone has a radius of 6 units and a height of 6 units.

⇒ Volume = π\(r^{2} \frac{h}{3}\)

⇒ Volume = π\(6^{2} \frac{6}{3}\)

⇒ Volume = 72 π

⇒ Volume = 226 cubic units

Hence, three pairs have the same volume.

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The missing figures have been attached below.

Answer:

1 - sec (x)

Step-by-step explanation:

Write the problem as a mathematical expression

tan (x) (cot(x)−csc(x)

Apply the distributive property

tan (x) cot(x) +tan (x) (−csc(x)

Rewrite in terms of sines and cosines, then cancel the common factors

1+tan (x) (−csc(x)

Then u get 1 - sec (x)

Option B) 1,390,072 is correct. The population of the city after 12 years can be calculated using the formula for compound interest.

To calculate the population of a city after 12 years using the formula for compound interest, we first need to identify the initial population (P0), the annual interest rate (r), and the number of years (n). We can then plug these values into the formula P = P0(1 + r/100)ⁿ. In this case, the initial population is given as 909327, the annual interest rate is 3.6%, and the number of years is 12. By substituting these values into the formula, we get P = 909327 * (1 + 3.6/100)¹² ≈ 1390072, which represents the population of the city after 12 years. Therefore, option B) 1,390,072 is the correct answer.

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Complete question:

The most recent census for a city indicated that there were 909,327 residents. the population of the city is expected to increase at an annual rate of 3.6 percent each year for the next 12 years. what will the population be at that time?

A) 1,491,958

B) 1,390,072

C) 1,440,114

t²²

Hi there !

t¹²ₓ t¹⁰ = t¹²⁺¹⁰ = t²²

Good luck !

A dice has 6 sides. Therefore, when you roll a dice the probability of getting 1,2,3,5, or 6 is

The probability that the mean annual precipitation during 49 randomly picked years will be less than 87.6 inches is 0.84. This can be calculated using the Z-score formula:

(87.6 - 85) / (13 / √49) = 0.84.

The probability that the mean annual precipitation during 49 randomly picked years will be less than 87.6 inches can be calculated using the Z-score formula. This formula uses the mean, standard deviation, and number of samples to calculate a Z-score, which is then used to calculate the probability. In this case, the mean is 85 inches, the standard deviation is 13 inches, and the number of randomly selected years is 49. By plugging these values into the formula, we can calculate the Z-score, which is 0.84. This Z-score can then be used to calculate the probability, which is 0.84. This means that there is an 84% probability that the mean annual precipitation during 49 randomly picked years will be less than 87.6 inches.

(87.6 - 85) / (13 / √49) = 0.84

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Answer:

73.5m

Step-by-step explanation:

4m fence casted a 7m high shadow 7/4 = 1.75, 42 x 1.75 = 73.5

The number of zeros in a polynomial equation is determined by the number of degrees it has, which is n.

Polynomial

A polynomial is a mathematical equation made up of variables, constants, and exponents that are mixed using addition, subtraction, multiplication, and division.

Bi-quadratic Polynomial

(Not comparable) Biquadratic (mathematics) x4 + 3x2 + 2 is an example of a polynomial expression that only uses a variable's zeroth, second, and fourth powers. When used in the form x4 4x3 + 3x2 x + 1, it is sometimes extended to any expression containing the biquadrate or fourth power (but not higher powers).

What is a Polynomial Equation?

Polynomial equations are those created by combining variables, exponents, and coefficients. The greater of its possible exponents is referred to as the equation's degree.

Among all possibilities, the linear polynomial p(x) = 2x+3 is a polynomial of degree 1. Consequently, there is just one zero in it.

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Answer: C- He made a computation error when he added 10.35+7.6.

Step-by-step explanation:

Noam did not line up the decimals when he was adding 10.35 and 7.6. So if you line up the decimals, you would get 17.95 instead of 17.41.

Answer

C.

Step-by-step explanation:

He made a computation error when he added 10.35+746.

*Cough* E d g e n u i t y *Cough*

Sorry I think I am coming down with something...

*Cough* It's right *Cough*

Please give me brainliest!!

We have the general solution of the beam equation: y = 1/2 x⁴ - (1/6)q₁ x³ + (1/2) x

Given that y'' (1) = 3

So we can find the second derivative of y:  y' = 2x³ - (1/2)q₁x² + (1/2)and y'' = 6x² - q₁x

Therefore, y''(1) = 6 - q₁

From the given information: y''(1) = 3

Putting this value into the above equation:3 = 6 - q₁=> q₁ = 6 - 3=> q₁ = 3

The value of q₁ is 3.

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The sample of 10 prize winners from the 5000 tickets in the raffle is an example of simple random sampling without replacement.

Simple random sampling involves randomly selecting individuals from a population in such a way that each individual has an equal chance of being chosen. In this case, the 5000 tickets represent the population, and the business uses a random number generator to select 10 tickets as the prize winners.

The "without replacement" aspect means that once a ticket is selected as a winner, it is removed from the pool of available tickets for subsequent selections. This ensures that each ticket can only win the prize once, maintaining the randomness and fairness of the selection process.

Simple random sampling without replacement is a common sampling scheme used in various contexts, including raffles, surveys, and statisticalresearch. It provides a representative subset of the population, allowing for generalizations and conclusions to be drawn about the larger population based on the characteristics of the sample.

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The rate of change  is the same amount of meat from Thursday to Friday is 14 Kilograms of meat

Here, the line graph shows the amount of meat in kilograms fed to the lions on each day of the week.

From the line graph the amount of meat fed to the lines on Thursday is 58 kilograms

And the amount of meat fed to the lines on Thursday is 72 kilograms

Let x represents the rate of change in the amount of meat from Thursday to Friday.

So, the value of x would be,

x = 72 - 58

x = 14 kilograms

Thus, the rate of change in the same amount of meat are fed to the alliance between Thursday and Friday = 14 kilograms

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Answer:850!

Step-by-step explanation:

   We have, 900% × x = 7650

   or, 900/100 × x = 7650

   Multiplying both sides by 100 and dividing both sides by 900,

   we have x = 7650 × 100900

   x = 850

   If you are using a calculator, simply enter 7650×100÷900, which will give you the answer.

The number of oranges that are expected to weigh more than 4 oz is:

1400 - (1400 × 0.0228)≈ 1368.

The mean weight of the oranges growing in an orchard is 8 oz and standard deviation is 2 oz, the distribution of the weight of oranges can be represented as normal distribution.

From the batch of 1400 oranges, the number of oranges is expected to weigh more than 4 oz can be found using the formula for the Z-score of a given data point.

\(z = (x - μ) / σ\)

Wherez is the Z-score of the given data point x is the data point

μ is the mean weight of the oranges

σ is the standard deviation

Now, let's plug in the given values.

\(z = (4 - 8) / 2= -2\)

The area under the standard normal distribution curve to the left of a Z-score of -2 can be found using the standard normal distribution table. It is 0.0228. This means that 0.0228 of the oranges in the batch are expected to weigh less than 4 oz.

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Answer:

333

Step-by-step explanation:

Let a represent Alice's numbers and p represent Pat's numbers.

Alice wrote three consecutive even numbers. The sum of the three is 252. This means:

\(a+(a+2)+(a+4)=252\)

The first term is even. Each consecutive even term is two more than the previous term. Simplify:

\(3a+6=252\\3a=246\\a=84\)

In other words, Alice's first number was 84.

Pat wrote three consecutive odd numbers. His numbers were larger than Alice's numbers. Similar to Alice, we can write:

\((p+1)+(p+3)+(p+5)=x\)

The first term is odd. Each consecutive odd term will be 1 more, then 3 more, then 5, etc. We want to find Pat's sum, or x.

We are told that the difference between the largest of Pat's and Alice's  numbers is 25. Therefore:

\((p+5)-(a+4)=25\)

Simplify. Substitute a. Solve for p:

\(p-a+1=25\\p-84=24\\p=108\)

Therefore, Pat's sum is:

\((108+1)+(108+3)+(108+5)=333\)

The number of stories that the sky scrapper has is; 56 stories

We are given that;

Height of antenna on the building = 52 ft

Total height of building including antenna = 780 ft

Height of each story = 13 ft

Thus;

Height of building without the antenna = Total height of building including antenna - Height of antenna

Height of building without the antenna = 780 - 52

Height of building without the antenna = 728 ft

Since each floor is 13 feet tall, then;

Number of floors = 728/13

Number of floors = 56 stories

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A continuous variable does allow fractional amounts. a discrete variable  does not allow fractional amounts.

Which variables require boundaries, also known as real limits, in their measurement scales?

A researcher must utilize genuine limits, which are boundaries that are exactly halfway between adjacent categories, to specify the units for a continuous variable.

What distinguishes a ratio scale from an ordinal scale?

For continuous data, what kind of data would you use?

Line graphs, skews, and other data analysis techniques are used to measure continuous data. One of the most popular kinds of continuous data analysis is regression analysis.

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 A line's slope is a measurement of how steep a line is. Slope is calculated by dividing the change in y values by the change in x values.

  A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).

Slope is a measure of the steepness of a line.

Slope = rise / run = Δy / Δx.

Slope= Δx /Δy = 4−0 /2−5 = 4 / −3

​Slope from two points, for instance

We are informed that there are two possible solutions to a particular linear equation:

Solution: x = 11.4, y = 11.5, x = 11.4, y = 11.5, space, space, space, y = 11.

Answer: x=12.7 y=15.4 x=12.7 y=15.4

Slope=

Δx / Δy  =  12.7−11.4 /15.4−11.5

=  1.3 /3.9

= 13 /39

=3.

The line has a 333 slope.

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