Select all that are equivalent to: (-12x-8)/4
3x-2

​
1/4 (12x+8)​

-(12x+8)/-4
-3x-2−3x−2

-3x+2−3x+2

Step-by-step explanation:

-10x - y = 27 ...1

-4x - y = 9 ...2

...1 - ...2

-10x -y - (-4x - y) = 27 - 9

-10x -y +4x + y = 18

-10x + 4x = 18

-6x = 18

x = 18/(-6)

= -3

Answer:

x = - 3, y = 3

Step-by-step explanation:

Given the 2 equations

- 10x - y = 27 → (1)

- 4x - y = 9 → (2)

Multiplying (1) by - 1 and adding to (2) eliminates the term in y

10x + y = - 27 → (3)

Add (2) and (3) term by term to eliminate y

6x = - 18 ( divide both sides by 6 )

x = - 3

Substitute x = - 3 into either of the 2 equations and solve for y

Substituting into (2)

- 4(- 3) - y = 9

12 - y = 9 ( subtract 12 from both sides )

- y = - 3 ( multiply both sides by - 1 )

y = 3

Solution is x = - 3, y = 3

Answer:

Step-by-step explanation:

Sum of angle in a triangle = 180°

<A+<B+<C = 180

Given <B = 50°

Substituting into the formula

<A+50+<C = 180

<A+<C = 180-50

<A+<C = 130°

Since the ∆ABC is an acute triangle, the angles <A and <C must be angles less than 90° since acute angles are angles less than 90°

The possible values of <A and <C that will be acute and give a sum of 130° are;

∠A= 58° and ∠C= 72°

∠A= 80° and ∠C= 50°

∠A= 60° and ∠C= 70°

You can see that all the Angles are less than 90° and their sum is 130°

To determine which material will settle first, we need to compare their respective terminal velocities in the specific fluid (water or glycerin) they are falling through.

a) To determine which material will settle first, we need to compare the terminal velocities of materials A (Topaz) and B (Hard-brick) falling through 3m of water at 20°C.

The terminal velocity of an object falling through a fluid is the maximum velocity it can reach when the drag force acting on it equals the gravitational force pulling it down. The drag force depends on the properties of the fluid and the shape, size, and velocity of the object.

To calculate the terminal velocity, we can use the following formula:

v = √((2 * g * r^2 * (ρ - ρf)) / (9 * η))

Where:
- v is the terminal velocity
- g is the acceleration due to gravity (approximately 9.8 m/s^2)
- r is the radius of the spherical particle
- ρ is the density of the material
- ρf is the density of the fluid (in this case, water)
- η is the dynamic viscosity of the fluid (a measure of its resistance to flow)

Let's calculate the terminal velocities for materials A and B.

For material A (Topaz) with a radius of 0.15 mm (or 0.00015 m), the density of Topaz is required. Once we have the density, we can substitute the values into the formula.

For material B (Hard-brick) with a radius of 30 mm (or 0.03 m), we also need the density of Hard-brick.

Once we have both terminal velocities, we can compare them to determine which material will settle first. The material with the lower terminal velocity will settle first because it experiences less drag from the fluid.

b) If the materials were falling in glycerin instead of water, the terminal velocities would be affected due to the differences in the properties of the fluids.

Glycerin has a different density (ρf) and dynamic viscosity (η) compared to water. These values would need to be taken into account when calculating the terminal velocities using the same formula as mentioned before. The density and dynamic viscosity of glycerin would replace the corresponding values for water.

Since glycerin has a higher density and higher viscosity compared to water, the terminal velocities of both materials would generally decrease. This means that both materials would settle at a slower rate in glycerin compared to water.

In conclusion, to determine which material will settle first, we need to compare their respective terminal velocities in the specific fluid (water or glycerin) they are falling through.

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a) The terminal velocity of Hard-brick (B) is approximately 0.393 m/s, higher than Topaz (A) which has a terminal velocity of about 0.00174 m/s, causing Hard-brick (B) to settle first in the water.

b) The terminal velocity of both materials will be lower in glycerin compared to water due to the higher viscosity of glycerin, causing slower settling in the glycerin fluid.

a) To determine which material (Hard-brick) will settle first, we need to calculate the terminal velocity (V_t) of each material using Stoke's Law. Stoke's Law relates the terminal velocity of a spherical particle falling in a fluid to its size and the properties of the fluid. The formula for Stoke's Law is:

V_t = (2/9) * (ρ_p - ρ_f) * g * r^2 / η

where: V_t is the terminal velocity (m/s),

ρ_p is the density of the particle (kg/m^3),

ρ_f is the density of the fluid (kg/m^3),

g is the acceleration due to gravity (m/s^2),

r is the radius of the spherical particle (m), and

η is the dynamic viscosity of the fluid (Pa·s).

Given data, For Topaz (A): radius (r_A) = 0.15 mm = 0.00015 m

For Hard-brick (B): radius (r_B) = 30 mm = 0.03 m

Water: density (ρ_f) = 1000 kg/m^3

Water: dynamic viscosity (η_water) at 20°C is approximately 0.001 Pa·s

Gravity (g) = 9.81 m/s^2

1. Calculate the terminal velocity of Topaz (A):

V_t_A = (2/9) * ((ρ_Topaz - ρ_water) * g * r_A^2) / η_water

V_t_A = (2/9) * ((3200 kg/m^3 - 1000 kg/m^3) * 9.81 m/s^2 * (0.00015 m)^2) / 0.001 Pa·s

V_t_A ≈ 0.00174 m/s

2. Calculate the terminal velocity of Hard-brick (B):

V_t_B = (2/9) * ((ρ_Hard-brick - ρ_water) * g * r_B^2) / η_water

V_t_B = (2/9) * ((2000 kg/m^3 - 1000 kg/m^3) * 9.81 m/s^2 * (0.03 m)^2) / 0.001 Pa·s

V_t_B ≈ 0.393 m/s

Therefore, the terminal velocity of Hard-brick (B) is significantly higher than the terminal velocity of Topaz (A). As a result, Hard-brick (B) will settle first in the water due to its higher terminal velocity.

b) If the materials were falling in glycerin instead of water, the terminal velocity would be affected by the change in the fluid's properties, specifically the dynamic viscosity (η_glycerin). Glycerin has a higher dynamic viscosity than water, which means it is more resistant to flow.

The formula for terminal velocity remains the same, but the value of η in the formula will change to η_glycerin, the dynamic viscosity of glycerin. Since glycerin has a higher viscosity than water, the terminal velocity for both Topaz (A) and Hard-brick (B) will be lower in glycerin compared to water. The materials will settle more slowly in glycerin due to the increased resistance offered by the higher viscosity fluid.

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Answer:

(12 + 3x)x

Step-by-step explanation:

(12 + 3)x = 12x + 3x = 15x

(12 + 3x)x = 12x + 3x²

15x

12x + 3x = 15x

They all equal 15x except for (12 + 3x)x

Answer:

C 24 ft wide, 18 ft deep

Step-by-step explanation:

there are 4 (2) in 8, so 4 x 6 = 24

there are 3(2) in 6, so 3 x 6 = 18

The larger scale drawing will be 24ft x 18 ft

Answer:

3231.08

Step-by-step explanation:

6 rounds up

Answer:

3231.08

Step-by-step explanation:

After purchasing a carpet that is 5 feet long and 6 feet wide, Felicia cut off a section of 8 square feet so the area of the remaining piece of carpet is 22 square feet.

To find the area of the remaining piece of carpet, we need to subtract the area that Felicia cut off from the total area of the carpet.

The total area of the carpet is the product of its length and width, which is:

5 feet x 6 feet = 30 square feet

Felicia cut off 8 square feet from the carpet, so the area of the remaining piece of carpet is:

30 square feet - 8 square feet = 22 square feet

Therefore, the area of the remaining piece of carpet is 22 square feet.

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ANSWER

Melanie uses 31 and a half pencils per hour

EXPLANATION

If she uses 14 pencils in 4/9 of an hour, we want to find how many pencils does she use in 1 hour:

The image of the point after the dilation is (-2, -1)

Dilation is the process of altering the side length of a shape or a function

From the question, the given parameters are:

Point =  (-8, -4)

The scale factor of dilation is given as

Scale factor = 1/4

Mathematically, this transformation can be represented as

(x, y) = k(x, y)

Where k = 1/4 i.e. the scale factor

So, we have

(x, y) = (kx, ky)

This gives

(x, y) = (1/4x, 1/4y)

When represented as an equation, we have

Image = 1/4 * Point

Substitute the equation Point =  (-8, -4) in the equation Image = 1/4 * Point

So, we have the following equation

Image = 1/4 * (-8, -4)

Evaluate the product

Image = (-2, -1)

Hence, the image is (-2, -1)

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Answer:

owo

Step-by-step explanation:

Based on the information given the number of calls did the center make per hour is 676 per hour.

Using this formula

Number of call per hour=Number of  telemarketing calls/Number of hours

Where:

Number of  telemarketing calls=4,732

Number of hours=7 hours

Let plug in the formula

Number of call per hour=4,732/7 hours

Number of call per hour=676 per hours

Inconclusion the number of calls did the center make per hour is 676 per hour.

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Answer:

A

Step-by-step explanation:

A. growth

Answer:

A. Growth

Step-by-step explanation:

Solution

David simplified a polynomial

For the first step

Open the brackets

The first step is correct.

For the second step

Collect like terms

The second step is correct

For the third step

Add up the like terms

The third step is correct.

Hence, David did not make a mistake

Answer:

i know im amazing

Step-by-step explanation:

Answer:

Awwwww thank you!!! Your worth more than the stars above. THANKS FOR THE POINTS!!!!

Step-by-step explanation:

P.S. I love your pfp!!!!

In complex number a+ib a is real and ib is the imaginary part.

Complex numbers are the numbers that are communicated as a+ib where, a,b are genuine numbers and 'I' is a fanciful number called "particle". The worth of I = (√-1). For instance, 2+3i is a complicated number, where 2 is a genuine number (Re) and 3i is a imaginary number (Im).

We have, a + ib is a complex number in mathematics

where a is the real part and ib is the imaginary part of the complex number.

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Answer:

30

Step-by-step explanation:

3 snow cones per 0.5 pounds of ice

0.5 pounds of ice x 10 = 5 pounds of ice

3 snow cones X 10 = 30 snow cones.

For F(X) = X + 12X^(-3), the inverse function does not have a simple equation F^(-1)(X).

Let's find the inverse functions for each given function.

A. For F(X) = X^4 + 9:

To find the inverse function, we'll replace F(X) with Y:

Y = X^4 + 9

Now, let's swap X and Y and solve for Y to find the inverse function:

X = Y^4 + 9

Next, let's solve for Y:

Y^4 = X - 9

Y = (X - 9)^(1/4)

Therefore, the inverse function for F(X) = X^4 + 9 is F^(-1)(X) = (X - 9)^(1/4).

B. For F(X) = (X - 1)^3:

Following the same steps as above, we'll replace F(X) with Y:

Y = (X - 1)^3

Swap X and Y and solve for Y:

X = (Y - 1)^3

Solve for Y:

(Y - 1)^3 = X

Y - 1 = X^(1/3)

Y = X^(1/3) + 1

Therefore, the inverse function for F(X) = (X - 1)^3 is F^(-1)(X) = X^(1/3) + 1.

C. For F(X) = X + 12X^(-3):

Replacing F(X) with Y:

Y = X + 12X^(-3)

Swap X and Y and solve for Y:

X = Y + 12Y^(-3)

Solve for Y:

Y + 12Y^(-3) = X

12Y^(-3) + Y = X

12 + Y^4 = XY

This equation is not easily solvable for Y as an explicit function of X. In this case, the inverse function cannot be expressed in a simple form.

Therefore, for F(X) = X + 12X^(-3), the inverse function does not have a simple equation F^(-1)(X).

Please note that for the cases where the inverse function does not have a simple equation, it may still exist and can be represented using other methods such as implicit equations or graphs.

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Step-by-step explanation:

the formula for the area of a sector is

(x°(r^2)π)/360

with x being the angle

r bring the radius of the circle

(255(13.4)^2π)/360

399.6

Hope that helps :)

Answer:

The answer is 399.6 not 399.4. I put 399.6 as my answer on acellus and I got it right.

Mina's rate per hour when she walks 1/4 miles in 1/2 hour is 1/2 miles per hour.

Rate is the speed at which something happens or changes, or the amount or number of times it happens or changes in a particular period:

To calculate Mina's rate, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, Mina's rate per hour is 1/2 miles per hour.

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Answer:

EF is 26 did you go to school at all god

Answer:

26

Step-by-step explanation:

The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

Given, M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.

To calculate the t-value,

the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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Answer: C. 4 hours per truck

Step-by-step explanation:

7x4=28

Answer:

the answer is 1/4 of an hour per truck

Step-by-step explanation:

The number of ways to distribute the books is calculated using the concept of permutations, specifically the concept of selecting a subset without replacement. The answer is 199,584 possible ways.

In this scenario, we have 12 children and 8 different books. Since each child can receive at most one book, we can view this problem as selecting a subset of 8 books from the total set of 12 children.

To calculate the number of ways to distribute the books, we use the concept of permutations. Specifically, we use the formula for selecting a subset without replacement, denoted as nPr, where n is the total number of children and r is the number of books to be distributed.

Using this formula, we calculate 12P8, which is equivalent to 12!/(12-8)!. Simplifying this expression, we have 12!/4!. Evaluating the factorials, we find 12! = 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 and 4! = 4 × 3 × 2 × 1.

By dividing 12! by 4!, we obtain 199,584, which represents the number of ways to distribute the 8 different books to the 12 children, ensuring that each child receives at most one book.

In summary, there are 199,584 possible ways to distribute the eight different books among 12 children, with each child receiving at most one book. This is calculated using the concept of permutations, specifically the formula 12P8 = 12!/4!.

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Answer:

ummkmmmm

Step-by-step explanation:

Answer:

No, the shape is not a rectangle.

Step-by-step explanation:

A rectangle is a 2-dimensional shape with two sets of parallel sides and four right angles. Shape a has both sets of parallel sides, but the corners of the figure are not right angles. It is a rhombus. So, the answer is no, the shape is not a rectangle.

Good luck ^^

The measure of the indicated central angle is 27.

We are given that;

The figure

Now,

Arc length = fraction of the circle x circumference;

Arc length =2 x pi x r x fraction of the circle

3/4 pi  = 2 x pi x 5 x fraction of the circle

3/4 pi  = 10 pi x fraction of the circle

Divide each side by 10 pi

3/4 pi

3/40 = fraction of a circle

A circle is 360 degrees;

3/40 = x/360

Multiply by 360

3/40 *360 = x

x=27

Therefore, by the angle the answer will be 27.

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Answer: -4.2

Step-by-step explanation:

=1-6+0.8

=-4.2

Answer:

The shorter piece would beStep-by-step explanation:

The value of z* is 1.96 for a 95% confidence level, and the standard error is calculated using the sample size and sample standard deviation,

To construct a 95% confidence interval for a population mean, we need to determine the corresponding z-score that gives us a 95% area under the standard normal distribution curve between -z* and z*.

Using a standard normal distribution table or calculator, we can find that the z-score that corresponds to a 95% confidence level is approximately 1.96.

This means that to construct a 95% confidence interval for the population mean, we would use a z-score of 1.96 in our calculations. The confidence interval would be calculated as:

CI = sample mean ± (z* * standard error)

where z* is 1.96 for a 95% confidence level, and the standard error is calculated using the sample size and sample standard deviation. The resulting interval would contain the true population mean with 95% confidence.

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