Find an expression which represents the sum of (8x + 10y) and (-4. – 3y) in
simplest terms.
Answer:
Submit Answer
attempt 1 out of 2

Step-by-step explanation:

I got 47.5 for this, not sure if its right though.

Answer:

x² -2x - 15 = 0

Step-by-step explanation:

(x+3)(x-5) = 0

x² -5x + 3x - 15 = 0

x² -2x - 15 = 0

The length of the rectangle is, (x + 5).

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We have to given that;

The area of a rectangle is (x² + 4x - 5).

And, The width of rectangle = (x - 1)

Now, We know that;

In a rectangle;

⇒ Area of rectangle = Length × Width

Substitute given values,

⇒ (x² + 4x - 5) = Length × (x - 1)

⇒ (x² + 5x - x - 5) = Length × (x - 1)

⇒ x(x + 5) - 1 (x + 5) = Length × (x - 1)

⇒ (x + 5) (x - 1) = Length × (x - 1)

⇒ (x + 5) (x - 1) / (x - 1) = Length

⇒ Length = (x + 5)

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Answer:

14 feet

Step-by-step explanation:

4 x 3 = 12ft

4 / 2

2

2 + 12

answer is 14 ft

Answer:

14 feet got it right on the test

Step-by-step explanation:

Answer:

slope = -1

y intercept (0,-2)

Step-by-step explanation:

We can use the two points to find the slope

(-4,2) and (1,-3)

m = ( y2-y1)/(x2-x1)

    = (-3 -2)/(1 - -4)

   = -5 /(1+4)

   = -5/5

 - 1

The y intercept is where it crosses the y axis

y intercept is (0,-2)

Answer:

it is on y axis so that the points are (0,4)&(0,8) on the horizontal angle & it will touch the x axis on (-8&2)

Principal =P = $18,000

time = T = 10 years

(a) Simple interest

SI = P x R x T

Where:

R = simple interest in decimal form = 5/100= 0.05

SI = 18,000 x 0.05 x 10 = $9,000

Value of investment = 18,000 + 9,000 = $27,000

(b) compounded monthly

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

Where:

A= future amount

n = number of compounding periods per unit t = 12

A= 18,000 (1 + 0.05/12)^12*10

A= $29,646.17

The total length of the trip 190.08 miles

How you do it is to add the 44% of 132 to 132

= (132 + (132×44%))

Length is a measure of distance. In the International System of Quantities, length is a quantity with dimension distance. In most systems of measurement a base unit for length is chosen, from which all other units are derived.

First, you have to find out how much 44% is. Change it into decimal form (0.44) and then multiply the two together.

132 × 0.44 is 58.08 miles.

Then you add that to the rest of the trip, 132 miles.

= (132 + 58/08

=190.08

The total length of the trip was 190.08 miles.

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There is not enough evidence to suggest that the difference between the two population means is statistically significant at the 5% significance level.

To test the hypothesis that the difference between two population means is zero, the researcher can use a two-sample t-test. The test statistic is calculated as the difference between the sample means divided by the standard error of the difference.

In this case, the sample means are 106.4 and 99.2, and the standard error of the difference is 6.1. Therefore, the test statistic is (106.4 - 99.2) / 6.1 = 1.18.

To decide whether to reject the null hypothesis that the difference between the two population means is zero, the researcher needs to compare the test statistic to the critical value. The critical value needed to reject the null hypothesis at a 5% significance level with 2 degrees of freedom (n1 + n2 - 2 = 2) is 2.09.

Since the test statistic of 1.18 is less than the critical value of 2.09, the researcher fails to reject the null hypothesis.

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Answer:

you would make something like this:

Step-by-step explanation:

Answer:

Step-by-step explanation:

first plug 362.50 in for y since that is our office supply expense

362.50 = 10.50x + 100

then we solve for x

362.50 = 10.50x + 100

262.50 = 10.50x

25 = x

so 25 are working in the office that month

hope this helps <3

Answer:

area=22/7×13=40.85=41 is the nearest whole number

The result is y = 4.487(±0.00358211) × 10^(4.656 ± 0.016) (rounded to the appropriate significant figures).

The given expression is y = 1.20(±0.02) × 10^(-8) - 3.60(±0.2) × 10^(-9).

To find the absolute standard deviation, we can calculate the absolute difference between the upper and lower values of each term.

For the first term, the upper value is 1.20 + 0.02 = 1.22 and the lower value is 1.20 - 0.02 = 1.18. So, the absolute standard deviation for the first term is |1.22 - 1.18| = 0.04.

For the second term, the upper value is 3.60 + 0.2 = 3.80 and the lower value is 3.60 - 0.2 = 3.40. So, the absolute standard deviation for the second term is |3.80 - 3.40| = 0.40.

To calculate the coefficient of variation, we divide the absolute standard deviation by the mean value of each term.

For the first term, the mean value is (1.20 + 1.22) / 2 = 1.21. So, the coefficient of variation for the first term is 0.04 / 1.21 = 0.0331 (or 3.31%).

For the second term, the mean value is (3.60 + 3.80) / 2 = 3.70. So, the coefficient of variation for the second term is 0.40 / 3.70 = 0.1081 (or 10.81%).

Now, let's calculate the result.

Multiply the mean values of each term: 1.21 × 3.70 = 4.487.

Multiply the absolute standard deviations of each term: 0.0331 × 0.1081 = 0.00358211.

Multiply the upper value of the first term by the upper value of the second term: 1.22 × 3.80 = 4.656.

Multiply the absolute standard deviations of each term: 0.04 × 0.40 = 0.016.

Finally, the result is y = 4.487(±0.00358211) × 10^(4.656 ± 0.016) (rounded to the appropriate significant figures).

The given expression and the calculations involve scientific notation and uncertainties (± values). The absolute standard deviation and the coefficient of variation are used to quantify the uncertainties in the values.

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Answer:

800

Step-by-step explanation:

Use this below to check Answer:

-----------------------------------------------------------------------------------------------------------------

This calculation helps you to find the original price after a percentage decrease.

Subtract the discount from 100 to get the percentage of the original price.

Multiply the final price by 100.

Divide by the percentage in Step One.

----------------------------------------------------------------------------------------------------------------

560x100=560.00/70%=800.00

For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, the process is still "in order," while for the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}, the process might be "out of order."

To determine whether the process is still "in order" or "out of order," we can compare the current sample of output to the known mean and standard deviation of the process.

For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}:

Calculate the sample mean by summing up all the values in the sample and dividing by the number of values (n = 10):

Sample mean = (2.038 + 2.054 + 2.053 + 2.055 + 2.059 + 2.059 + 2.009 + 2.042 + 2.053 + 2.047) / 10 = 2.048.

Compare the sample mean to the known process mean (2.050):

The sample mean (2.048) is very close to the process mean (2.050), indicating that the process is still "in order."

Calculate the sample standard deviation using the formula:

Sample standard deviation = sqrt(sum((x - mean)^2) / (n - 1))

Using the formula with the sample values, we find the sample standard deviation to be approximately 0.019 liters.

Compare the sample standard deviation to the known process standard deviation (0.020):

The sample standard deviation (0.019) is very close to the process standard deviation (0.020), further supporting that the process is still "in order."

For the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}:

Calculate the sample mean:

Sample mean = (2.022 + 1.997 + 2.044 + 2.044 + 2.032 + 2.045 + 2.045 + 2.047 + 2.030 + 2.044) / 10 ≈ 2.034

Compare the sample mean to the process mean (2.050):

The sample mean (2.034) is noticeably different from the process mean (2.050), indicating that the process might be "out of order."

Calculate the sample standard deviation:

The sample standard deviation is approximately 0.019 liters.

Compare the sample standard deviation to the process standard deviation (0.020):

The sample standard deviation (0.019) is similar to the process standard deviation (0.020), suggesting that the process is still "in order" in terms of variation.

In summary, for the first sample, the process is still "in order" as both the sample mean and sample standard deviation are close to the known process values.

However, for the second sample, the difference in the sample mean suggests that the process might be "out of order," even though the sample standard deviation remains within an acceptable range.

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Answer:

q-0

p-3

Step-by-step explanation:

there are two ways to solve elimination or substitution method I'll use the latter

so take the second equation and find an expression equal to p

p-2q=3

p=2q+3

substitute the above expression in the first equation

(2q+3)1+2q=3

open brackets

2q+3+2q=3

collect like terms

4q+3=3

solve

4q=0

q=0

substitute q in any equation you want I'll choose the second

p-(2×0)=3

p-0=3

p=3

Answer:

p = 3 ; q = 0

Step-by-step explanation:

In this linear pair of eqn. in 2 variables , they have a unique solution i.e. they will have only single solution . We know that

\(p + 2q=3\) & also \(p -2q=3\) . So, we can also equate them as :-

\(p + 2q = p-2q\) (∵ Both the eqn. have 3 in their right hand side product )

Solving the eqn. gives,

\(=> 2q + 2q = p-p\\=> 4q=0\\=>q=0\)

Putting the value of q in any one of the linear eqn gives ,

\(p+2q=3\\=> p+2(0)=3\\=>p+0=3\\=>p=3\)

Answer:

1: figures a and b

2: figures a and b

3: figure a

Step-by-step explanation:

2 & 3:

all squares are rectangles, but not all rectangles are squares

Hope this helps!

Answer:

-24

Step-by-step explanation:

Answer: -24

Step-by-step explanation:

3xy

3(4)(-2)

12(-2)

-24

The fraction is 23/27.

Let the numerator and denominator of the given fraction be x and y respectively.

According to the question,

Case 1 :-

Denominator of the fraction is 4 more than the numerator.

⇒ Numerator = Denominator - 4

⇒ x = y - 4 ...(1)

Case 2 :-

If 1 is added to numerator and 2 is subtracted from denominator fraction becomes 24/25

⇒ (Numerator + 1) / (Denominator + 2) = 4/5

⇒ (x + 1) / (y - 2) = 24/25

⇒ 25(x + 1) = 24(y - 2)

⇒ 25x + 25 = 24y - 48

⇒ 25x - 24y = -73 ...(2)

Substituting the value of x from (1) in (2), we have

⇒ 25(y - 4) - 24y = -73

⇒ 25y - 100 - 24y = -73

⇒ y = -73 + 100

y = 27

substitute the value of y in equation 1.

x = 27 - 4

x = 23

Now, At the beginning of our solution we took the numerator & denominator to be x & y respectively. So the fraction is:

⇒ x / y

⇒ 23/27

Hence the fraction is 23/27.

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The given trigonometric identity, sin(6π + x) = 21(cos(x) + 3sin(x)) is not verified.

Let us begin by simplifying the right side of the identity.

Let A = cos(x) + 3sin(x).

Then,A^2 = (cos(x) + 3sin(x)) = cos²(x) + 6sin(x)cos(x) + 9sin²(x)

Using the identity sin²(x) + cos²(x) = 1,

A^2 = 1 + 6sin(x)cos(x) + 8sin^2(x)

Divide both sides of the equation by 4.

(1/4)A²2 = (1/4) + (3/2)sin(x)cos(x) + 2sin²(x)

Now, we need to express the left-hand side of the equation in terms of A.

By using the addition formula of sin,

sin(6π + x) = sin(6π)cos(x) + cos(6π)sin(x)

Since sin(6π) = 0 and cos(6π) = 1,

sin(6π + x) = cos(x)

Thus, the given identity can be written as: cos(x) = 21A.

Therefore, sin(6π + x) = cos(x) = 21A.

sin(6π + x) = 21(cos(x) + 3sin(x))

Dividing both sides of the equation by 21.

1/21 sin(6π + x) = cos(x) + 3sin(x)/21

We have sin(6π + x) = cos(x) = 21A.

Substituting the value of cos(x) in the equation we got before.

1/21 sin(6π + x) = 21A + 3sin(x)/21

We know that A = cos(x) + 3sin(x).

Substituting the value of A in the above equation.

1/21 sin(6π + x) = 21(cos(x) + 3sin(x)) + 3sin(x)/21

Dividing both sides by 21

sin(6π + x) = cos(x) + 3sin(x)

This is not the verified identity.

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Answer:

A

Step-by-step explanation:

Photomath, lol

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.

I think it is found in browser

I hope this was helpful

Determine the total number of marbles in the bag.

The number of marbles that ae not yellow are red and blue, whose total count is 10 in bag.

Determine the probability for the choosen marble is not yellow.

So answer is 5/12.

Option C is correct.

Answer:

805.00

Step-by-step explanation:

The answer is 805.00 for sure

Answer:

800

Step-by-step explanation:

534 + 271 = 805

805 rounded to the nearest hundred is 800. Remember that when numbers between 750 and 849 are rounded to the nearest hundred it is always 800.

tte corresponding angle is angle 5

Answer:

1/6

Step-by-step explanation:

there is one 5 on the die. therefore the chance of rolling a 5 is 1/6

The required probability P(5) = 1/6.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

The die has only one 5 on it.

The number of favorable outcomes = 1

There are the total outcomes as {1, 2, 3, 4, 5, 6}

So the total number of outcomes = 6

Required probability P(5) = 1/6

Hence, the chance of rolling a 5 is 1/6

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The percentage occupied by fresh water on Earth is 47%. The pH of the solution with H+ concentration 0.08606951774271 M is 1.1.

To calculate the percentage of fresh water on Earth, we can subtract the percentage of water in the oceans (53%) from 100%. This gives us 47%, which represents the percentage occupied by fresh water.

The pH of a solution is a measure of its acidity or alkalinity. It is determined by the concentration of hydrogen ions (H+) in the solution. In this case, the H+ concentration is given as 0.08606951774271 M. The pH scale ranges from 0 to 14, with values below 7 indicating acidity and values above 7 indicating alkalinity. By calculating the negative logarithm (base 10) of the H+ concentration, we find that the pH of the solution is approximately 1.1.

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