combine like terms -3c+5c
a.8c
b.-2c
c.-8c
0r
2c
plz help idk

The expression equivalent to the given expression is the third expression which is 0.75c.

What are equivalent expression?

Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value for the variable, two algebraic expressions that are equivalent have the same value.

We are given an expression as c - 0.25c.

Since, the expression contains like variables so, taking the difference of the terms, we get

c - 0.25c = 0.75c

This means that the third expression is equivalent to the given expression.

Hence, the expression equivalent to the given expression is the third expression which is 0.75c.

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When we have a normal model for the sampling distribution, we cannot say that a sample mean or sample proportion is approximately 2 standard errors (ses) away from the population mean or the true proportion.

Instead, we can say that 95% of the sample proportions fall within two standard errors of the population proportion. Similar to this, the percentage of sample proportions decreases as the standard error distance decreases and increases as the standard error distance increases.

Therefore, the standard error distance will be greater than 2 standard errors (ses) if 99% of the sample proportions are within a given standard error distance of the population proportion.

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Answer:

see explanation

Step-by-step explanation:

(9m + 4)² - (9m - 4)² ← expand both factors using FOIL

= 81m² + 72m + 16 - (81m² - 72m + 16) ← distribute parenthesis by - 1

= 81m² + 72m + 16 - 81m² + 72m - 16 ← collect like terms

= 144m

= 72(2m)

which is divisible by 72 for all m

Answer:

Those must-haves should include food, clothing, housing and insurance. And it also should include emergency and retirement savings, Luber said.

Step-by-step explanation:

hope this helped:)

brainliest for the brains:)

Answer:

the answer is d. What is the width of the box, in inches, that

produces the maximum volume?

Step-by-step explanation:

length: 120 - 6w >

Answer:

15 is your answer

Step-by-step explanation:

\(m = \frac{40 - 10}{5 - 3} = 15\)

hope it helps you

have a great day!!

Values the constant c are;

a) c = 2.16.

b) c = 0.57.

c) c = -1.17.

a) We need to find the value of c such that Φ(c) = 0.9838. Using a standard normal table or a calculator, we find that the z-score corresponding to a cumulative probability of 0.9838 is approximately 2.16. Therefore, c = 2.16.

b) We need to find the value of c such that P(0 ≤ Z ≤ c) = 0.291. Using a standard normal table or a calculator, we find that the z-score corresponding to a cumulative probability of 0.291 is approximately 0.57. Therefore, c = 0.57.

c) We need to find the value of c such that P(c ≤ Z) = 0.121. Using a standard normal table or a calculator, we find that the z-score corresponding to a cumulative probability of 0.121 is approximately -1.17. Therefore, c = -1.17.

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-7/40

/////

I honestly didn't know how to do this one. But thats the correct answer.

The solution of the mathematical expressions will be 0.175.

What is Number system?

A system of writing to express the number is called number system.

Given that;

The mathematical expressions are,

⇒ [ 2 - | - 1/4 - 2 (-3/5) | ] ÷ -6

Now,

Solve the mathematical expression as;

⇒  [ 2 - | - 1/4 - 2 (-3/5) | ] ÷ -6

Using the BODMAS rule to solve the expressions as;

⇒ [ 2 - | - 1/4 - 2 (-3/5) | ] ÷ -6

⇒ [ 2 - | - 1/4 + 6/5 | ÷ -6

⇒ [ 2 - 19/20 ] ÷ -6

⇒  [ 21/20] ÷ -6

⇒ 21/20 x 1/-6

⇒ - 7 / 40

Therefore,

The solution of the mathematical expressions will be 0.175.

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Let's call the price of the motorcycle "x".

We know that Lenny paid 12.5% in tax, which is the same as 0.125 as a decimal.

To find out how much tax Lenny paid, we can multiply the price of the motorcycle by 0.125:

0.125x = $1437.50

Now we can solve for x by dividing both sides by 0.125:

x = $11,500

Therefore, the price of the motorcycle, not including tax, was $11,500.

Answer:

Your question is:

1437.5 is 12.5% of what number?

1437.5 = 0.125x

x = 1437.5/.125 = $11,500

Therefore, the answer is $11,500!

Step-by-step explanation:

Please brainliest if the helped you a lot! And tell me if I am wrong! I would be so sorry if it was wrong! :D

Let P represent the initial value

Let r represent annual growth rate

let n represent the number of periods

p = 890

r=3.5%

n = 10 ( since a decade is 10 years, 99 years after will be 10 decades)

the formula to calculate the value after 99 years is given by

The value of the quantity after 99 years is 1255.43

The distance from the vector (1, 2, 3, 4) to the subspace of R^4 spanned by the vectors (1, -1, 1, 0) and (3, 2, 2, 1) can be calculated as the length of the orthogonal projection of (1, 2, 3, 4) onto the subspace.

To find the distance, we first need to determine the orthogonal projection of the vector (1, 2, 3, 4) onto the subspace spanned by (1, -1, 1, 0) and (3, 2, 2, 1).

The orthogonal projection of (1, 2, 3, 4) onto the subspace can be obtained by projecting (1, 2, 3, 4) onto each of the spanning vectors and then summing those projections. Using the projection formula, we find that the projection of (1, 2, 3, 4) onto the first spanning vector (1, -1, 1, 0) is (5/3, -5/3, 5/3, 0), and the projection onto the second spanning vector (3, 2, 2, 1) is (3/2, 1, 1, 1/2).

Next, we calculate the difference vector between (1, 2, 3, 4) and the sum of the two projections: (1, 2, 3, 4) - [(5/3, -5/3, 5/3, 0) + (3/2, 1, 1, 1/2)] = (2/6, 13/6, 7/6, 7/2).

Finally, we find the length of the difference vector, which represents the distance between (1, 2, 3, 4) and the subspace: √[(2/6)^2 + (13/6)^2 + (7/6)^2 + (7/2)^2] = √(242/9).

Therefore, the distance from the vector (1, 2, 3, 4) to the subspace of R^4 spanned by (1, -1, 1, 0) and (3, 2, 2, 1) is √(242/9).

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The least squares method minimizes the sum of the squared differences between the observed data points and the predicted values.

The least squares method is a mathematical technique used to find the best fit line or curve for a set of data points. It is commonly used in regression analysis to determine the relationship between two variables.

The method works by minimizing the sum of the squared differences between the observed data points and the predicted values from the line or curve. This sum is known as the residual sum of squares (RSS) or the sum of squared residuals (SSR).

The least squares method aims to find the line or curve that minimizes this sum, meaning it minimizes the overall error between the observed data and the predicted values. By minimizing the sum of squared differences, the method finds the line or curve that best represents the data.

In other words, the least squares method seeks to find the line or curve that provides the best balance between fitting the data closely and avoiding extreme deviations from the data points.

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The least squares method for determining the best fit minimizes the sum of the squared differences between the observed data points and the corresponding values predicted by the mathematical model or regression line.

In other words, it aims to minimize the sum of the squared residuals, where the residual is the difference between the observed data point and the predicted value. By minimizing the sum of squared residuals, the least squares method finds the line or curve that best fits the data by minimizing the overall error between the predicted values and the actual data.

Mathematically, the least squares method minimizes the objective function:

E = Σ(yᵢ - ŷᵢ)²

where yᵢ is the observed value, ŷᵢ is the predicted value, and the summation Σ is taken over all data points. The goal is to find the values of the parameters in the mathematical model that minimize this objective function, usually by differentiating it with respect to the parameters and setting the derivatives equal to zero.

By minimizing the sum of squared differences, the least squares method provides a way to estimate the parameters of a mathematical model that best represents the relationship between the independent and dependent variables in a data set.

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Answer

When f(x) = g(x), x = -1

Explanation

We are given that

f(x) = -5x - 11

g(x) = 30x + 24

We are then asked to fing the value of x when f(x) = g(x)

When f(x) = g(x),

-5x - 11 = 30x + 24

-5x - 30x = 24 + 11

-35x = 35

Divide both sides by -35

(-35x/-35) = (35/-35)

x = -1

Hope this Helps!!!

The complete question is as follows: A Christmas gift is tied with ribbon the bow requires 47cm of ribbon, what is the total length of the ribbon in cm?

Answer: The total length of the ribbon is 177 cm.

Step-by-step explanation:

As there are 4 sides of the rectangular box and 20 cm of ribbon is on each side. This means that a total of \(4 \times 20 cm\) = 80 cm is there on the top and bottom.

Hence, length of ribbon attached at the left and right side of the box is as follows.

\(2.5 \times 10 cm = 25 cm\\2 \times 25 cm = 50 cm\)

This means that on both left and right side a total of 50 cm is there.

Therefore, total length of ribbon is as follows.

Total length = 47 cm + 50 cm + 80 cm = 177 cm

Thus, we can conclude that the total length of the ribbon is 177 cm.

Over a short interval near time t=0, the coordinate of an automobile is given by x(1) = 30t² − 15t³. At the end of 1.0 s the automobile is deaccelerating (option C). The muon takes 0.100 m to stop (option E).

Given that x(1) = 30t² − 15t³

The velocity of the automobile is given by:

v = dx/dtv = 60t − 45t²

When the time t = 1.0 s, we have: v = 60(1.0) − 45(1.0)²= 15 m/s

Since the velocity is positive, the automobile is moving to the right (i.e. accelerating).

However, since the velocity is decreasing, the automobile is deaccelerating. To determine the acceleration, we take the derivative of the velocity with respect to time:

a = dv/dta = 60 − 90t

When t = 1.0 s, a = 60 − 90(1.0)= −30 m/s²

Since the acceleration is negative, the automobile is deaccelerating (option C).

5. The initial velocity, u = 8.00×10⁵ m/s

The acceleration, a = -3.20×10¹⁴ m/s² (since the muon is slowed down)

Final velocity, v = 0

We want to find the distance traveled, s.

To find the distance traveled, we use:

s = (v² − u²)/2a

Here, u = 8.00×10⁵ m/s,

v = 0, and

a = -3.20×10¹⁴ m/s²

So,s = (0 − (8.00×10⁵)²)/2(−3.20×10¹⁴)= 0.100 m

Therefore, the muon takes 0.100 m to stop (option E).

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Answer:

vertex is 2 and -4

Step-by-step explanation:

If the perimeter of square based pyramid is 18.5 ft and height is 7.6 ft, then the volume of pyramid will be  54.4 cubic foot.

The "Volume" of a square pyramid is defined as the amount of space occupied by the pyramid, and it is given by the formula: V = (1/3) × B × h, where V is = volume, B is = area of base, and h = height of pyramid,

The base of pyramid is a square, we find the "base-area" by dividing the perimeter by 4 and squaring the result:

⇒ Perimeter of  base = 18.5 ft,

⇒ Length of one side of base = 18.5/4 = 4.625 ft,

⇒ Base area = (4.625 ft)² = 21.390625 sq ft,

Now, we use the formula to find the volume of the pyramid:

⇒ Volume = (1/3) × 21.390625 × 7.6 ,

⇒ Volume = 54.384375 cubic feet,

Rounding volume to nearest tenth of a cubic foot, we get:

⇒  Volume ≈ 54.4 cubic feet.

Therefore, the volume of the pyramid is approximately 54.4 cubic feet.

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The given question is incomplete, the complete question is

Find the volume of a pyramid with a square base, where the perimeter of the base is 18.5 ft and the height of the pyramid is 7.6 ft. Round your answer to the nearest tenth of a cubic foot.

Here you go!

1. Fill in the blanks to define the terms.

A ratio ___is a comparison between_____ two quantities. A proportion is an equation stating that two ____ratios____ are equal. A rate compares two quantities that have different ____units______.

2. Complete the statement to describe unit rates. Then identify whether each ratio is a unit rate by placing an X in the appropriate column.

A unit rate is a ratio that compares an amount of one quantity to ____one_____ unit of another quantity.

Hope this helps :D

Distance from the summit of Mount Everest to the horizon, Rounded to the nearest mile, the distance from the summit of Mount Everest to the horizon is 210 miles.

Distance refers to the space between two points or the length of a line between them. It may also refer to a range, extent, or magnitude that separates one point from another. Distance may be a physical concept, such as the distance between two cities or the distance traveled by a moving object.

The distance between two points can be calculated using a number of mathematical techniques, including the Pythagorean theorem, the distance formula, and vector addition.

d = √(2Rh + h²)

where d is the distance to the horizon, R is the radius of the Earth (4000 miles), and h is the height of the observer (in this case, the height of the summit of Mount Everest, which is 29,030 feet).

We need to convert the (h) height of the summit to miles:

29,030 ft = 29,030/5280 miles ≈ 5.49 miles

Now we can plug in the values and solve for d:

d = √(2 × 4000 × 5.49 + 5.49^2) =209.64288 ≈ 210 miles

Therefore, the distance from the summit of Mount Everest to the horizon is approximately 210 miles when rounded to the nearest mile.

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Answer:

200

Step-by-step explanation:

72---->36%

x------> 100%

72×100

7200÷36=200

To check, let do it the other way round. 200×0.36=72.

There was total 200 multiple choice history question in Ximena's exam.

For the given question,

Total questions answered by the Ximena is 72.

The total percentage was 36%.

Let 'x' be the total number of the questions.

Then,

36% of x = 72

36x /100 = 72

x = 7200/36

x = 200

Thus, there was total 200 multiple choice history question in Ximena's exam.

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The radical function that has a domain of (x ∈ R such that x <= -3) and range of (y ∈ R such that y >= 4) is y = √(-x - 3) + 4.

The domain of this function is (x ∈ R such that x <= -3) because the inside of the square root must be non-negative, and x + 3 is negative when x <= -3. The range of this function is (y ∈ R such that y >= 4) because the square root of a non-negative number plus 4 is always greater than or equal to 4.

The equation that represents the given table is option C, y = 2x - 3.

To find the equation that represents the given table, we need to determine the relationship between the values of x and y. We can observe that as x increases by 2 units, y decreases by 1 unit. This indicates a constant rate of change or a slope.

1: Calculate the slope (rate of change) using the given table.

  - Select any two points from the table. Let's choose (-2, 4) and (0, 3).

  - The change in y is 3 - 4 = -1, and the change in x is 0 - (-2) = 2.

  - Therefore, the slope is -1/2.

2: Write the equation in slope-intercept form (y = mx + b).

  - Now that we have the slope (-1/2), we need to find the y-intercept (b).

  - Let's substitute one of the points from the table into the equation to solve for b. Using (-2, 4):

      4 = (-1/2)(-2) + b

      4 = 1 + b

      b = 4 - 1

      b = 3

3: Write the final equation using the determined slope and y-intercept.

  - The slope is -1/2 and the y-intercept is 3, so the equation is y = -1/2x + 3.

Thus, the correct equation that represents the given table is y = 2x - 3, which corresponds to option C.

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The System Effectiveness is approximately 0.763.

To calculate the System Effectiveness, we need to multiply the values of Operational Readiness, Design Adequacy, Availability, Maintainability, and Mission Reliability.

System Effectiveness = Operational Readiness * Design Adequacy * Availability * Maintainability * Mission Reliability

Plugging in the given values:

System Effectiveness = 0.89 * 0.95 * 0.98 * 0.93 * 0.99

System Effectiveness ≈ 0.763

Therefore, the System Effectiveness is approximately 0.763.

The correct answer is a. 0.763.

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Answer:

9.2 feet long and 5.75 feet wide

Type I and Type II errors on an  chart: Type I error: This error happens when we take action when there was no actual change in the process.

It happens when an individual chart point falls beyond the control limits. This error occurs when the process changes, but we take no action. It occurs when an individual chart point falls within the control limits but outside of the desired specifications.

The difference between Type I and Type II errors is that a Type I error is when we find a difference when there is no real difference, and a Type II error is when we do not find a difference when there is one.  b The selection of subgroups: Select the subgroup size in such a way that the variation in the subgroup is the same as the variation in the process

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Answer:

His average speed is

12 km/hr

.

Step-by-step explanation:

Remember the triangle of Speed, Distance and Time. If you remember it, you'll ace these kinda questions.

I had trouble with these formulas but the triangle helped me a LOT! Anyways, let's get back to the question. The formula for average speed is pretty much the same as the formula for just speed. The average speed formula is

Average speed

=

Total Distance

Total Time

So......

48 km

4 hr

=

12 km/hr

My source

I hope this explanation helps you!

Answer:

130

Step-by-step explanation:

The Honda will cost 24480 - 1400 = 23080

The Toyota will cost 25500 - 0.1 * 25500 = 25500 - 2550 = 22950.

So the Toyota will cost 130 less

Answer:

2.5x+50

Step-by-step explanation: