whats equivelent to 9a + 12

You are given a magic penny that doubles every night. After 12 days you will have 2048 pennies.

The problem can be solved using a geometric sequence approach.

The nth term of a geometric sequence is given by:

a(n) = a(0) . rⁿ⁻¹

Where:

a(0) = the first term

r = common ratio

In the given problem:

a(0) = 1

n = 12

r = 2

Hence, after 12 days:

a(12) = 1 x 2¹²⁻¹ = 2¹¹ = 2048 pennies

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Answer:

$2500 would be taken for tax.

Step-by-step explanation:

You can get this answer from dividing 12,500 by 5. I do this because 20% is 5 out of on hundred.

Let's start by using algebra to solve for the number of boxes in small and large vans.

Let x be the number of small vans and y be the number of large vans. Based on the ratio given, we know that:

- Number of boxes in small vans = 3/8 * Total number of boxes

- Number of boxes in large vans = 5/8 * Total number of boxes

Using the information provided, we can write an equation:

5x + 25y = 400

Simplifying, we get:

x + 5y = 80

Now let's use the inequality provided to determine if less than 30% of the vans filled with boxes are large vans. We know that:

- Total number of vans filled with boxes = x + y

- Less than 30% of these vans are large vans, so y/(x+y) < 0.3

Substituting x + 5y = 80, we can simplify the inequality:

y/(x+y) < 0.3

y/80 < 0.3

y < 24

So if y (the number of large vans) is less than 24, then less than 30% of the vans filled with boxes are large vans.

Now we can solve for x and y using substitution. From x + 5y = 80, we get x = 80 - 5y. Substituting into 5x + 25y = 400, we get:

5(80 - 5y) + 25y = 400

400 - 20y = 400

20y = 0

y = 0

This means that y cannot be less than 24, as y = 0 would result in no large vans at all. Therefore, Hashem's statement is incorrect, and the number of large vans must be equal to or greater than 24.

The nullspace of matrix A is given by the set of all vectors x that satisfy the equation Ax = 0, where A is the given matrix.

To find a basis for the nullspace, we need to solve the homogeneous system of equations represented by the equation Ax = 0.

The given matrix A is:

\(\[ A = \begin{bmatrix} 1 & 2 & 3 \\ 0 & 1 & 0 \end{bmatrix} \]\)

To find the nullspace of A, we need to solve the equation Ax = 0. This can be done by setting up the augmented matrix [A|0] and performing row operations to obtain the reduced row echelon form.

Performing row operations on the augmented matrix [A|0]:

\(\[ \begin{bmatrix} 1 & 2 & 3 & 0 \\ 0 & 1 & 0 & 0 \end{bmatrix} \rightarrow \begin{bmatrix} 1 & 0 & 3 & 0 \\ 0 & 1 & 0 & 0 \end{bmatrix} \]\)

The reduced row echelon form of the augmented matrix is obtained. From this, we can see that the third column is a free variable (denoted as x3). The corresponding solution can be written as \(x = \(\begin{bmatrix} -3x3 \\ 0 \\ x3 \end{bmatrix}\)\), where x3 can take any real value.

To find a basis for the nullspace, we can choose two linearly independent vectors that span the nullspace. One choice can be \(\(\begin{bmatrix} -3 \\ 0 \\ 1 \end{bmatrix}\)\), which corresponds to x3 = 1. Another choice can be \(\(\begin{bmatrix} 0 \\ 0 \\ 0 \end{bmatrix}\)\), which corresponds to x3 = 0.

Therefore, a basis for the nullspace of matrix A is \(\(\left\{ \begin{bmatrix} -3 \\ 0 \\ 1 \end{bmatrix}, \begin{bmatrix} 0 \\ 0 \\ 0 \end{bmatrix} \right\}\)\).

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1. Since triangle ABC and DEF are congruent, the value of x is -3

2. length AB = 24

length DE = 24

If the three angles and the three sides of a triangle are equal to the corresponding angles and the corresponding sides of another triangle, then both the triangles are said to be congruent.

Since triangle ABC is congruent to triangle DEF , then we can say that line AB is equal to line DE

therefore;

12- 4x = 15-3x

collect like terms

12 -15 = -3x +4x

x = -3

therefore the value of x is -3 and

AB = 12 - 4x

AB = 12 -4( -3)

AB = 12 +12 = 24

DE = 15-3x

= 15-3(-3)

= 15 + 9

= 24

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Answer:

4 pages

Step-by-step explanation:

Answer:

thanks for free points :3

Step-by-step explanation:

The given variable is a continuous variable.

A quantitative variable can be either continuous or discrete depending on whether it is normally obtained through measurement or counting. A variable is continuous over a range of real values if it can take on any two specific real values and all other real values in between.

In Amsterdam, physicist Daniel Gabriel Fahrenheit created the mercury thermometer, also known as a mercury-in-glass thermometer. It consists of a glass tube with a small diameter and a mercury bulb attached to it; the bulb contains far more mercury than the tube does.

A mercury thermometer was used to take the subject's temperature.

Because of the temperature:

so

Temperature is a continuous variable,

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Answer:

10

Step-by-step explanation:

Answer:

I thin the asnweris 60

Step-by-step explanation:

Let me know if i'm right I don't know if I followed all the steps

Answer:

Step-by-step explanation:

3/5 = 0.6

1 - 0.6 = 0.4 students left

Multiply the amount of students remaining by the fractional amount that take German

0.4  x  1/4   =   0.1

1 - 0.6 - 0.1 = 0.3

0.3 x 100 = 30%

Therefore 30% of students take French

The average rate of inflation will be:

Answer: 43,33%

Answer: -7z

Step-by-step explanation:

1. We can start off by pretending that -8x and 8x are invisible.

2. That would leave us with 8z-15z.

3. We know that 8z-15z equals -7z, so know we have a base to start with.

4. We can add -8x and 8x again, which will give us the equation -7z-8x+8x.

5. This is also equal to -7z

6. The answer is -7z.

Answer:

lie

Step-by-step explanation:

The value of side CA of the right angle triangle is 8.85.

Trigonometry is the branch of mathematics that set up a relationship between the sides and angles of right-angle triangles. The trigonometric functions in mathematics are real functions that relate the right-angled triangle's angle to the ratios of its two side lengths.

Given that △ABC has a right angle at C, BC=7.7 centimeters, and m∠A=41∘.

The value of side CA is calculated, from the right angle triangle applying the angle property,

tan41 = (7.7)/(CA)

CA = (7.7)/(tan41)

CA = 8.85

Therefore, the value of side CA of the right angle triangle is 8.85.

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Answer:

y = 6x

Step-by-step explanation:

Each value of x is multiplied by 6 to get the corresponding y value

Answer:

D

Step-by-step explanation:

The diagonals of a rhombus bisect the angles, thus

∠ ABC = ∠ CBD = 5x - 18 and

∠ BAC = ∠ DAC = x

The diagonals are perpendicular bisectors of each other, thus

the angles round the intersection of the diagonals = 90°

Consider the triangle on the left of the rhombus, then

5x - 18 + x + 90 = 180 ( sum of angles in a triangle )

6x + 72 = 180 ( subtract 72 from both sides )

6x = 108 ( divide both sides by 6 )

x = 18 → D

The measure of the supplement of angle GEF is calculated as: 140 degrees.

The supplement of an angle is the angle that, when added to the original angle, forms a straight line or 180 degrees. In other words, the supplement of an angle is the angle that completes the original angle to make it a straight angle.

For example, if the original angle is 30 degrees, then the supplement of that angle is 150 degrees, because 30 + 150 = 180. Similarly, if the original angle is 75 degrees, then the supplement of that angle is 105 degrees, because 75 + 105 = 180.

Given that the measure of angle GEF is 40°, to find the measure of the supplement of angle GEF, subtract 40 from 180.

Therefore:

The measure of the supplement of angle GEF = 180 - 40

= 140 degrees.

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Answer:

a. The number of custom necklaces that can be manufactured if each requires 2 7/8 ounces of gold is 74 necklaces.

b. The value of the gold in each necklace is $1761

Step-by-step explanation:

(a) Number of necklaces

2\(7/8\) ounces of gold=2.875

No of necklaces=212.75oz x 1 necklaces/2.875oz

                          =74 necklaces

(b)Value of gold in each necklace

There are 2.875 oz of 14K gold in each necklace. Pure gold is 24K.

Mass of pure gold=2.875oz x 14k/24k

                              =1.677083oz

Pure 24K gold is worth $1050/oz.

Value of pure gold=1.677oz x 1050/1oz

                              = 1760.9 dollars

The value of the gold in each necklace is $1761

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The number of custom necklaces that can be manufactured if each requires 2 7/8 ounces of gold is 74 necklaces and the value of the gold in each necklace is $ 1761.

2 ounces of gold = 2.875 oz.

Number of necklaces = 212.75 oz. x 1 necklaces / 2.875 oz.

                         = 74 necklaces

Value of gold in each necklace

There are 2.875 oz. of 14K gold in each necklace.

Mass of pure gold=2.875 oz. x 14 k / 24 k

                             = 1.677083 oz.

Pure 24K gold is worth $ 1050 / oz.

Value of pure gold= 1.677oz x 1050 / 1oz

                             = 1760.9 dollars

The value of the gold in each necklace is $1761

Therefore, the number of custom necklaces that can be manufactured if each requires 2 7/8 ounces of gold is 74 necklaces and the value of the gold in each necklace is $ 1761.

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Answer:

m∠QRS = 30°

m∠SRT = 75°

Step-by-step explanation:

Now,

The sum of m∠QRS and m∠SRT is equal to m∠QRT which is 105°

So,

m∠QRS + m∠SRT = m∠QRT

(6x)° + (14x + 5)° = (105)°

6x + 14x + 5 = 105

20x + 105 - 5

20x = 100

x = 100/20

x = 5

Thus, The value of x is 5°

Now,

m∠QRS = (6x)° = 6 × 5 = 30°

m∠SRT = (14x + 5)° = 14(5) + 5 = 70 + 5 = 75°

Answer:

answer: y= 1^2+ -8 I think I did this right.

Answer:

y=-1/2x-8

Step-by-step explanation:

Probabilities for the standard normal distribution z. a. p(0 - 1.25) = P(Z < -1.25) = 0.1056.

Using a standard normal distribution table or a calculator, we can find:

P(0 - 1.25 < Z < 0) = P(Z < 0) - P(Z < -1.25) = 0.5 - 0.1056 = 0.3944

where Z is a standard normal random variable with mean 0 and standard deviation 1.

Therefore, p(0 - 1.25) = P(Z < -1.25) = 0.1056.

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The exponential smoothing forecast for Friday, using alpha = 0.3 and a forecast of 90 for Wednesday, is approximately 87.90.

Exponential smoothing is a forecasting technique that assigns weights to past observations in a time series, with the most recent observations given higher weights. It is commonly used to forecast future values based on historical data.

To calculate the exponential smoothing forecast for Friday, we start with the forecasted value for Wednesday, which is given as 90. We then apply the formula: Forecast for Friday = Forecast for Wednesday + alpha * (Observed value for Thursday - Forecast for Wednesday).

Using alpha = 0.3, the observed value for Thursday is 88, and the forecast for Wednesday is 90, we can plug these values into the formula:

Forecast for Friday = 90 + 0.3 * (88 - 90) = 87.90.

Therefore, the exponential smoothing forecast for Friday is approximately 87.90, rounded to two decimal places.

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the probability of all three cubes landing on odd numbers given that the white cube landed on three is 1/24

Since the white cube landed on 3, we only need to consider the red and green cubes.

The probability of each cube landing on an odd number is 1/2, since there are 3 odd numbers out of 6 total on each cube.

The probability of both the red and green cubes landing on odd numbers is the product of their individual probabilities:

P(red and green both odd) = P(red odd) x P(green odd) = 1/2 x 1/2 = 1/4

Therefore, the probability of all three cubes landing on odd numbers given that the white cube landed on three is:

P(white=3 and red and green both odd) = P(red and green both odd | white=3) x P(white=3)

= (1/4) x (1/6) = 1/24

So the probability of all three cubes landing on odd numbers given that the white cube landed on three is 1/24

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X=18

Step-by-step explanation:

To find the height of the new rectangular box, we first need to determine the volume of the original can. The can has a height of 6 inches and a diameter of 4 inches, which means it has a radius of 2 inches. The volume of a cylinder (can) is calculated using the formula V = πr²h.

In this case, V = π(2²)(6) = 24π cubic inches.

Now, we need to find the height of the new rectangular box that has a width of 4 inches and a depth of 2 inches. To maintain the same volume, the formula for the volume of a rectangular prism (box) is V = lwh.

Since we know the volume (24π cubic inches), width (4 inches), and depth (2 inches), we can solve for the height (h):

24π = (4)(2)(h)
24π = 8h

Now, divide both sides by 8:

h = 3π inches

So, the height of the new rectangular box would be 3π inches to maintain the same volume as the original can.

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Answer:

y=8

Step-by-step explanation:

\( \cos(60) = \frac{4}{y} \\ y = \frac{4}{ \cos(60) } = 8\)

Answer:

cos x=adj/hype

cos 60=4/y

y=4/cos 60

y=8

the answer is option B

Answer:

\( O .\ {x}^{10} {y}^{5} \) (third option)

Step-by-step explanation:

(x²y)⁵

(x²)⁵ × y⁵

(x²)⁵ =\( {x}^{2 \times 5} = {x}^{10} \)

\(\boxed{Answer:{\green{\boxed{ = {x}^{10} {y}^{5}}}}} \)

Answer:

\(\tt{} {x}^{10} {y}^{5} \)

Step-by-step explanation:

\(\tt{}( {x}^{2} y {)}^{5} \)

\(\tt{}( {x}^{2} {)}^{5} \times {y}^{5} \)

\(\tt{} {x}^{10} {y}^{5} \\ \\ \)

Answer:

The goal post is 40.05 feet tall.

Step-by-step explanation:First, you need to decide whether to use sin, tan or cos.

You have the angle, the adjacent and need the opposite , so you need to find out which one has all three values in

Sin  

Cos  

Tan  

So you need to use tan.

Tan = opposite / adjacent, so rearrange the formula to make opposite the subject:

\(Opp = Tan * adj

So simply plug these values in:

\(Opp =131 * tan(17) = 40.05

So the goal post is 40.05 feet tall