If angle ABC is complementary to angle BCA and angle ABC=4x while angle BCA=11x, first find x and then find the measures of each angle.

Answer:

Step-by-step explanation:

                            Mixed number          Improper fraction

a) 1 + 1 + 1/3 =            \(2\frac{1}{3}\)                                7/3

b) 1 + 1 + 1 + 5/8 =     \(3\frac{5}{8}\)                                 29/8

c) 1 + 1 + 1 +2/4 =      \(3\frac{2}{4}\)                                  14/4

The algebraic expression for the word phrase is 12 + z/4

The word phrase is given as:

twelve more than the quotient of a number z and 4

The quotient of a number z and 4 is represented as:

z/4

So, we have:

twelve more than z/4

twelve more means 12 +

So, we have:

12 + z/4

Hence, the algebraic expression for the word phrase is 12 + z/4

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first, let's break the equation down.

y=7x-4

-4 represents your staring coordinate, or your y-intercept. This is because -4 does not have an x after so you know it is equal to your y value. So you start at (0,-4)

Now all you need to do is the y=7x part.

The 7x represents your slope.

Slope is equal to rise/run or y/x.

So for each coordinate, you go up 7 and to the right 1.

(0,-4)

(1,3)

(2,10)

I hope this helps!

The Mean Absolute Percentage Error (MAPE), using a four-month moving average method and the given patient data (593, 464, 618, 765, 553, 731, 647), is approximately [rounded MAPE value with at least 4 decimal places] percent.

To calculate the MAPE using a four-month moving average method, we first calculate the moving averages for each group of four consecutive months. Starting with the first four months (593, 464, 618, 765), we calculate the average and place it as the first moving average. Then we shift the window by one month and calculate the average for the next four months (464, 618, 765, 553), and continue this process until we reach the last group of four months (731, 647).

Next, we calculate the absolute percentage errors between each actual value and its corresponding moving average. The absolute percentage error for each month is given by |(Actual Value - Moving Average) / Actual Value| * 100. We sum up all these absolute percentage errors and divide the total by the number of data points to obtain the MAPE.

Performing these calculations using the given patient data will yield the MAPE value, rounded to at least 4 decimal places. This MAPE value represents the average percentage deviation of the actual values from the moving averages and provides a measure of the accuracy of the forecasted values in relation to the actual values.

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Answer:

slope = 0

eq of line: y = -1

Step-by-step explanation:

A line parallel to the x-axis is a horizontal line. The equation of a horizontal line is " y = anumber". Horizontal lines have 0 slope. The point given is (2,-1). In the point (2,-1) the y is -1. The equation of the horizontal line thru (2,-1) is

y = -1

Answer:

Selling Price=$562.50

Step-by-step explanation:

Given cost price of the treadmill= $750

Loss% = 25%

We know, the formulae for selling price = (100 -loss%) X cost price/100

= (100 - 25)X 750/100

= (75)750/100

= 75 × 750/100

= $562.50

Answer:

x = 3/2 or 1.5

Step-by-step explanation:

distribute 3 to the 2x and -1 by multiplying

6x - 3 = 6

add 3 to both sides to get 6x by itself and it keeps both sides equal

6x = 9

divide by 6

x = 9/6 = 3/2

x = 3/2

Answer:1 and 8 what's the answer idj

Step-by-step explanation:

Answer:

2 and 8

Step-by-step explanation:

Answer:

Ms. Davis=83 years

Her mom=126.33 years

Her daughter=66.67 years

Step-by-step explanation:

Let her mother's age=x

Ms. Davis= 7 dozens - 1

=(7*12)-1

=84-1

= 83 years

Ms. Davis= 7.2 + 60% of x

83=7.2 + .6x

83 - 7.2= .6x

75.8= .6x

Divide both sides by .6

75.8 / .6 = x

126.33 years

Ms. Davis daughter = 3.5 + 1/2 of x

=3.5 + 1/2(126.33)

=3.5 + 126.33 / 2

=3.5 + 63.165

=66.665

Approximately 66. 67 years

Answer:

When it was purchased (year 0) the coin was worth $7

Step-by-step explanation:

we have

\(f(t) = 7(2)^t\)

This is a exponential function of the form

\(y=a(b)^x\)

where

a is the initial value

b is the base

In this problem we have

\(a=\$7\)

\(b=2\)

\(b=1+r\)

so

\(2=1+r\)

\(r=1\)

\(r=100\%\)

The y-intercept is the value of the function when the value of x is equal to zero

In this problem

The y-intercept is the value of a rare coin when the year t is equal to zero

\(f(0)=7(2)^0\)

\(f(0)=\$7\)

therefore

The meaning of y-intercept is

When it was purchased (year 0) the coin was worth $7

Answer:

Value of the coin when it was first released

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

The y-intercept is the value of f(0).

Substitute t = 0 and find the y-intercept:

This is representing the value of the coin when it was released.

Answer:

-8

Step-by-step explanation:

Answer:

a = -4

a= -8

Step-by-step explanation:

\(a^2+12a=-32\\\\\mathrm{Add\:}32\mathrm{\:to\:both\:sides}\\a^2+12a+32=-32+32\\\\Simplify\\a^2+12a+32=0\\\\Solve\:by\:factoring\\\mathrm{Factor\:}a^2+12a+32:\quad \left(a+4\right)\left(a+8\right)\\\\\mathrm{Solve\:}\:a+4=0:\quad a=-4\\\mathrm{Solve\:}\:a+8=0:\quad a=-8\\\\a=-4,\:a=-8\)

Answer:

18x^4+288x^3+1

Step-by-step explanation:

HOPE THIS HELPS<3

Answer:

A = 5026.548246 m²

Step-by-step explanation:

Equation for Area of a Circle: A = πr² where r is the radius.

The radius of a circle is always half the diameter. Since we know the diameter is 80m, we can divide by 2 to find our radius.

80/2 = 40m

Now that we have found our radius, we can plug the value into r and solve.

A = π(40)² = 5026.548246 m²

With a smaller error bound, the confidence interval narrows, increasing confidence in the estimated mean age with a more precise range of values.

To construct a 95% confidence interval for the true mean age of Winter Foothill College students, we need to calculate the margin of error and then determine the interval.

First, let's calculate the standard error, which is the standard deviation divided by the square root of the sample size:

Standard Error = (Population Standard Deviation) / sqrt(sample size)

Standard Error = 15 / sqrt(25)

Standard Error = 15 / 5

Standard Error = 3

The margin of error is then calculated by multiplying the standard error by the appropriate critical value from the t-distribution. For a 95% confidence level, the critical value is 2.063 (assuming a sample size of 25 and using a t-distribution).

Margin of Error = (Critical Value) * (Standard Error)

Margin of Error = 2.063 * 3

Margin of Error = 6.189 (rounded to three decimal places)

To calculate the confidence interval, we subtract and add the margin of error to the sample mean:

Confidence Interval = Sample Mean ± Margin of Error

Confidence Interval = 30.4 ± 6.189

Confidence Interval = (24.211, 36.589)

The area in each tail is determined by the confidence level. In this case, it's a 95% confidence interval, so there is 2.5% of the total area in each tail.

In one complete sentence, the 95% confidence interval means that we are 95% confident that the true mean age of Winter Foothill College students falls within the interval of (24.211, 36.589).

If the confidence level were reduced to 90%, the critical value from the t-distribution would change. With a smaller critical value, the margin of error would decrease.

Therefore, the error bound would become smaller, resulting in a narrower confidence interval. This means that we would have a higher level of confidence in the estimated mean age, but the interval would be less wide, providing a more precise range of potential values for the true mean age.

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In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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Answer:

13 servings

Step-by-step explanation:

(11/10) / (2/25)

= 13.75

She can make 13 servings [not enough to make up to 14 servings]

Answer:

no

Step-by-step explanation:

you did this to someone else so ill do it to you XD karma

Answer:

worksheet ahhh httivdwjtkckwmtnckwtnxjejyjxkatvhebtjcjsnt

Answer:

Graph this points u will get the line.

(0,2) (2/5,0)

Step-by-step explanation:

The intercept of line with x-axis is at (0.4, 0) and with y-axis is at (0, 2).

The collection of all coordinates in the planar of the format [x, f(x)] that make up a variable function's graph.

The equation of the line is given below.

y = – 5x + 2

Put y = 0, then the x-intercept will be

0 = – 5x + 2

x = 2/5

x = 0.4

The x-intercept is (0.4, 0).

Put x = 0, the y-intercept will be

y = – 5(0) + 2

y = 2

The y-intercept is (0.4, 0).

Then the equation of line is drawn below.

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Answer:

4 cups of sugar

Step-by-step explanation:

2 x 2 = 4

Toya will use 4 cups of sugar.

Answer:

22

Step-by-step explanation:

First write an expression to represent the situation.

$1,300,000 ≤ $475,000 + $37,500a

This expression works because the least amount of money that can make to remain profitable is 1,300,000. They already have 475,000 of that and every a (number of ads sold) is $37,500

Using this equation, solve for a.

1300000 ≤ 475000 + 37500a

First, subtract 475000 from both sides.

825000 ≤ 37500a

Then divide both sides of the equation by 37500 to isolate a.

22 ≤ a

22 is less than or equal to a. So they must sell at least 22 ads to remain profitable.

The volume of Brody's display case is 270 cubic inches.

Brody's display case is shaped like a rectangular prism with a length of 15 inches, a width of 9 inches, and a height of 2 inches.

A rectangular prism is a three-dimensional shape that has six faces that are all rectangles. It is also sometimes called a rectangular cuboid.

The volume of a rectangular prism is the amount of space inside the prism and is given by the formula:

Volume = length x width x height

where "length" refers to the longest side of the prism, "width" refers to the second longest side of the prism, and "height" refers to the shortest side of the prism.

To find the volume of a rectangular prism, you simply need to multiply the length, width, and height of the prism together. The resulting value will have cubic units, such as cubic inches, cubic centimeters, or cubic feet, depending on the units used for the length, width, and height.

To find the volume of the display case, we simply need to multiply its length, width, and height together. Using the values you provided:

Volume = length x width x height

Volume = 15 inches x 9 inches x 2 inches

Volume = 270 cubic inches

Therefore, the volume of Brody's display case is 270 cubic inches.

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Answer:

Step-by-step explanation:

Hi vengefull,  :0  like that show on Netflix about revenge, huh  :0 anyway, back to math.

the equation 1):

40*A+ 35*B=2000

the equation 2):

50*A + 80*B=3000

False. The range of a linear transformation is a subset of the codomain, not the domain.

The domain is the set of inputs to the transformation, while the codomain is the set of possible outputs. The range is the set of actual outputs produced by the transformation. The statement "The range of a linear transformation must be a subset of the domain" is false. The range of a linear transformation is a subset of the codomain, not the domain. The domain is the set of input vectors, while the codomain contains the possible output vectors after applying the linear transformation.

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Note that the absolute maximum and minimum values of f on the set d are:

The set d isthe set of all points (x, y)   such that x² + y² <= 1.

To find the absolute maximum   and minimum values of fon the set d, we can use the following steps.

The   critical points off ar -

(0, 0)

(1,   0)

(0,1)

The values of-f at the critical points are -

f(0, 0) = 0

f(1,   0)  =-16

f(0,   1) =-16

The values of f at the boundary points of d are

f(0,   1) =-16

f(1,1)    = -16

f(-1,0)   = -16

f(0,   -1)= -16

The largest value   off is 0, and   the smallest value of f is -16.

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The equation of parabola in the intercept form that passes through (0,-18) with x intercepts of 9 and 1 is y = -2(x-9)(x-1)  .

In the question,

it is given that ,

the parabola passes through (0,-18) and has x intercepts as 9 and 1 .

The intercept form of the equation of parabola is given by

y = a(x-p)(x-q)   , where a is the constant

and p , q are the x intercepts  .

Given that the parabola has x intercepts as 9 and 1 , So

equation becomes

y = a(x-9)(x-1)          .....(i)

Since parabola passes through the points (0,-18) ,

hence , point should satisfy the equation ,

So putting y = -18 and x=0 , we get

-18 = a(0-9)(0-1)

-18 = a(-9)(-1)

-18 = 9a

a = -2

Substituting a= -2 in equation (i) ,

we get the equation of parabola as y = -2(x-9)(x-1) .

Therefore , the equation of parabola in the intercept form that passes through (0,-18) with x intercepts of 9 and 1 is y = -2(x-9)(x-1)   .

The given question is incomplete , the complete question is

Write an equation of the parabola in intercept form that passes through (0,-18) with x-intercepts of 9 and 1 .

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