What is the base if the rate is 16.3% and the portion is 457?

Answer:

seeing as no one is answering I will

Answer:

Step-by-step explanation:

la respeudesta es x*bh a la cuarta

Answer:

C) Both (1 , 11) and (-1, -5)

Step-by-step explanation:

y = 8x + 3

Plugin x = 1  and y = 11 in the equation

11 = 8*1 + 3

11 = 8 +3

11 = 11

So, (1 , 11)  is a solution.

Plugin x = -1  and y =-5 ,

-5 = 8*(-1) + 3

-5 = -8 + 3

-5 = -5

So, (-1 , -5) is also a solution

Answer:

12x^5+18x^2+10x^3+15

Step-by-step explanation:

first you apply the distribution property (FOIL) and you get

12x^5+18x^2+10x^3+15

Answer:

(5,-1) or x=5 y=-1

Step-by-step explanation:

I used the substitution method to solve this!

1. Pick one of your equations and solve for one of the variables. I chose the first equation and solved for x.

x-2y=7

(Move the -2y to the other side of the equation in order to get the x by itself. You do the opposite, so it becomes +2y.)

x=2y+7

2. Now take your second equation and plug in what you got for x into the x variable.

2(2y+7)+5y=5

(Multiple 2 by everything inside of the parentheses.)

4y+14+5y=5

(We want to get the y by itself, so move the 14 to the other side.)

4y+5y=-14+5

(Combine all the like terms.)

9y=-9

(Divide the 9 from the y. What you do to one side you must do to the other.)

y=-1

3. Since you have one variable solved for. Now take the first equation and plug in your y.

x-2(-1)=7

(Multiple -2 by -1)

x+2=7

(Move the 2 to the other side in order to get the x by itself.)

x=5

4. If needed, plug in your x and y values into the equations in order to check your answer.

Hope this could help!

Answer:

Step-by-step explanation:

473.89/12= $39.49083 or $39.50 a month

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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Can you post a picture of the triangle? it would make this way easier.

Answer:

Step-by-step explanation:

Put input value instead of the x into equation and calculate the output:

x = -4, then find the value of y:

The output is 13 when the input is -4

\(\\ \rm\longmapsto y=-5x-7\)

\(\\ \rm\longmapsto y(-4)\)

\(\\ \rm\longmapsto -5(-4)-7\)

\(\\ \rm\longmapsto 20-7\)

\(\\ \rm\longmapsto 13\)

Given:

Total cheese = 12 pound

Cheese in each package = \(\dfrac{1}{2}\) pounds

To find:

The number of cheese packages.

Solution:

We need to divide the total amount of cheese by quantity of cheese in each package to find the the number of cheese packages.

\(\text{Number of cheese packages}=\dfrac{\text{Total cheese}}{\text{Cheese in each package}}\)

\(\text{Number of cheese packages}=\dfrac{12}{\dfrac{1}{2}}\)

\(\text{Number of cheese packages}=12\times \dfrac{2}{1}\)

\(\text{Number of cheese packages}=24\)

Therefore, there are 24 number of cheese packages.

Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.

2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.

3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.

4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.

5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.

6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.

Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

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Answer:

A does, that is the only one that makes sense :)

Step-by-step explanation:

Answer:

first option

Step-by-step explanation:

if x has 2 values of y in a graph then that graph is no function

Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

Answer:

true

Step-by-step explanation:

Hope this helps. :)

Answer:71

Step-by-step explanation:1775/25

Answer:

71 bags

Step-by-step explanation:

Each bag: 20 pennies

Pennies count: 1775

Final Answer: 71 bags

Explain:

1775 / 25 = 71

The unconditional mean of the series, yt, is 0.6. This means that if we were to simulate the time series over a very long period of time, we would expect the average value of the series to converge to 0.6.

To find the unconditional mean of the series, yt, we need to consider what happens when the time series is allowed to run indefinitely. In other words, we want to know what the long-term average value of the series is likely to be.

To do this, we can use the concept of stationarity. A stationary time series is one where the statistical properties of the series do not change over time. In this model, we can see that the mean of the series is constant over time, since the intercept term, 0.3, does not depend on any past or future values of the series or the error term. Therefore, we can assume that the series is stationary, and we can use the equation for the mean of a stationary AR(1) process to find the unconditional mean:

μ = c / (1 - φ)

where μ is the unconditional mean, c is the intercept term, and φ is the coefficient on the lagged value of the series. In this case, we have c = 0.3 and φ = 0.5, so we can plug these values into the equation and get:

μ = 0.3 / (1 - 0.5) = 0.6

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The unconditional mean of the series is 0.6.

The unconditional mean of the series can be found by taking the expectation of both sides of the given model:

E(yt) = E(0.3 + 0.5yt-1 - 0.4εt-1 + εt)

= 0.3 + 0.5E(yt-1) - 0.4E(εt-1) + E(εt)

Since the error process is zero mean, we have E(εt) = 0 for all t. Also, since the model does not depend on time explicitly, we can assume that E(yt) = E(yt-1) = μ, where μ is the unconditional mean of the series. Substituting these values, we get:

μ = 0.3 + 0.5μ - 0.4E(εt-1) + E(εt)

= 0.3 + 0.5μ

Solving for μ, we get:

μ = 0.3 / (1 - 0.5) = 0.6

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it's the commutative property!

Answer:

Commutative Property

Step-by-step explanation:

12(6) = 6(12) it is known as Commutative Property.

-TheUnknownScientist

Answer:The rule for a rotation by 270° about the origin is (x,y)→(y,−x) .

YOUR ANSWER IS B

Step-by-step explanation:

Answer:

Step-by-step explanation:

you rotate it two times to the left or right your answer will be b

\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad \tt \rightarrow \:x = 23 \)

____________________________________

\( \large \tt Solution \: : \)

\(\qquad \tt \rightarrow \: 5x - x - 8 = 15 + 3x\)

\(\qquad \tt \rightarrow \: 4x - 8 = 15 + 3x\)

\(\qquad \tt \rightarrow \: 4x - 3x = 15 + 8\)

\(\qquad \tt \rightarrow \: x = 23\)

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

x = 23

Explanation:

⇒ 5x - x - 8 = 15 + 3x

collect like terms

⇒ 5x - x - 3x = 15 + 8

add or subtract like terms

⇒ x = 23

Checking:

5(23) - 23 - 8 = 15 + 3(23)

115 - 23 - 8 = 15 + 69

84 = 84

The value of the number is 57/16

The mathematical statement is given as:

Nine times a number y subtracted from 85 is seven times the sum of four and y

Remove the above mathematical statement as an algebraic expression

85 - 9y = 7(4 + y)

Open the bracket

85 - 9y = 28 + 7y

Collect the like terms

9y + 7y = 85 - 28

Evaluate the like terms

16y = 57

Divide both sides by 16

y = 57/16

Hence, the value of the number is 57/16

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Answer:

Question 16 = 22

Question 17 = 20 cm²

Step-by-step explanation:

Concepts:

Area of Square = s²

Area of Triangle = bh/2

Diagonals of the square are congruent and bisect each other, which forms a right angle with 90°

Segment addition postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

Solve:

Question # 16

Step One: Find the total area of two squares

Large square: 5 × 5 = 25

Small square: 2 × 2 = 4

25 + 4 = 29

Step Two: Find the area of the blank triangle

b = 5 + 2 = 7

h = 2

A = bh / 2

A = (7) (2) / 2

A = 14 / 2

A = 7

Step Three: Subtract the area of the blank triangle from the total area

Total area = 29

Area of Square = 7

29 - 7 = 22

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

Question # 17

Step One: Find the length of PT

Given:

PT = PR + RT [Segment addition postulate]

PT = (4) + (6)

PT = 10 cm

Step Two: Find the length of S to PT perpendicularly

According to the diagonal are perpendicular to each other and congruent. Therefore, the length of S to PT perpendicularly is half of the diagonal

Length of Diagonal = 4 cm

4 ÷ 2 = 2 cm

Step Three: Find the area of ΔPST

b = PT = 10 cm

h = S to PT = 2 cm

A = bh / 2

A = (10)(2) / 2

A = 20 / 2

A = 10 cm²

Step Four: Find the length of Q to PT perpendicularly

Similar to step two, Q is the endpoint of one diagonal, and by definition, diagonals are perpendicular and congruent with each other. Therefore, the length of Q to PT perpendicularly is half of the diagonal.

Length of Diagonal = 4 cm

4 ÷ 2 = 2 cm

Step Five: Find the area of ΔPQT

b = PT = 10 cm

h = Q to PT = 2 cm

A = bh / 2

A = (10)(2) / 2

A = 20 / 2

A = 10 cm²

Step Six: Combine area of two triangles to find the total area

Area of ΔPST = 10 cm²

Area of ΔPQT = 10 cm²

10 + 10 = 20 cm²

Hope this helps!! :)

Please let me know if you have any questions

Answer:

√39

Step-by-step explanation:

use the Pythagorean Th because the triangle is right

8² = 5² + x²

8²-5² = x²

√64-25 = x

√39 =x

Answer:

f

Step-by-step explanation:

iam not sure

best of luck

Answer:

F

Step-by-step explanation:

198/9=22 and the others are 25 24 and 23 I think but the point is they are not 22

The probability of finding 0 contaminated pieces in  225 g of chocolate is 5.57 X 10⁻⁷.

Here the number of contaminated fragments follows a Poisson process. Hence, let the distribution for the same be X.

Hence we get X ~ Poi(λt)

where λ is the mean no. of contaminated pieces and t is the no. of bars consumed.

For P(X = x) we get [(λt)ˣ  e^(-λt)]/x!

Here λ = 14.4 and t = 1 Hence we will get

P(X = x) = [(14.4)ˣ e⁻¹⁴°⁴]/x!

Here we need to find the probability of the no. of contaminated pieces = 0

Therefore

P(X = 0) = [(14.4)⁰ e⁻¹⁴°⁴]/0!

Hence the probability of finding 0 contaminated pieces in a bar of chocolate is

P(X = 0) =  e⁻¹⁴°⁴

= 5.57 X 10⁻⁷

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According to the information, Maria has to add a unit in the second bar that corresponds to the vacations that have between 7 and 9 days.

To complete the graph correctly we must identify what information is in it. First of all we see that there are ranges of duration of vacations on the X axis, then, there are 4 bars that represent the following ranges:

According to the above, since she has not added her last vacation that lasted 7 days, we must add a unit that represents these vacations in the second column, to complete the graph.

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The function is f(x) = 15x + 25 and you would have 6 services if you were charged $25

We know that the hair salon charges a fixed rate of $25.00 for a haircut and then an additional $15 for any other services, therefore:

Let x = number of services, then we can obtain the function as:

f(x) = 15x + 25 (function)

when we further solve the function, we get the answer for how many services one would have if we were charged $25,

f(x) = 15x + 25

115 = 15x + 25

90 = 15x

6 = x

Now, we know that the function is f(x) = 15x + 25 and you would have 6 services if you were charged $25

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The point e. x = 5, y = 0 satisfies the two linear constraints simultaneously. We have two linear constraints which are given as;

2x + 5y ≤ 10 (Equation 1)

10x + 6y ≤ 42 (Equation 2)

We need to find the point which satisfies both equations. Let us plug in the values one by one to check which one satisfies the two equations simultaneously.

a. x= 6, y = 2

In Equation 1:2x + 5y = 2(6) + 5(2) = 17

In Equation 2:10x + 6y = 10(6) + 6(2) = 66

Thus, this point does not satisfy equations 1 and 2 simultaneously.

b. x=6, y=4

In Equation 1:2x + 5y = 2(6) + 5(4) = 28

In Equation 2:10x + 6y = 10(6) + 6(4) = 72

Thus, this point does not satisfy equations 1 and 2 simultaneously.

c. x=2, y = 1

In Equation 1:2x + 5y = 2(2) + 5(1) = 9

In Equation 2:10x + 6y = 10(2) + 6(1) = 26

Thus, this point does not satisfy equations 1 and 2 simultaneously.

d. x=2, y = 6

In Equation 1:2x + 5y = 2(2) + 5(6) = 32

In Equation 2:10x + 6y = 10(2) + 6(6) = 52

Thus, this point does not satisfy equations 1 and 2 simultaneously.

e. x = 5, y = 0

In Equation 1:2x + 5y = 2(5) + 5(0) = 10

In Equation 2:10x + 6y = 10(5) + 6(0) = 50

Thus, this point satisfies both equations simultaneously.

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