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Answer:

60

Step-by-step explanation:

let a = 22 / kg, and b = 12 / kg

a + b = 20 kg

22a + 12b = 15 * 20

12a + 12b = 240

10a = 60

The image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).

A dilation with a center of (0,0) and a scale factor of 7 means that every point in the plane will be multiplied by a factor of 7 from the origin.

To find the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7, we can simply multiply the coordinates of L by the scale factor.

The coordinates of the image point L' will be:

L' = (-4 × 7, 0 × 7) = (-28, 0)

Therefore, the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).

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\(\begin{array}{llll} f(x)~from\\\\ x_1 ~~ to ~~ x_2 \end{array}~\hfill slope = m \implies \cfrac{ \stackrel{rise}{f(x_2) - f(x_1)}}{ \underset{run}{x_2 - x_1}}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array} \\\\[-0.35em] ~\dotfill\\\\ f(x)= 2x^2 + x -3 \qquad \begin{cases} x_1=0\\ x_2=2 \end{cases}\implies \cfrac{f(2)-f(0)}{2 - 0} \\\\\\ \cfrac{[2(2)^2 + (2) -3]~~ - ~~[2(0)^2 +(0) -3]}{2}\implies \cfrac{7-(-3)}{2}\implies \cfrac{7+3}{2}\implies \text{\LARGE 5}\)

The rate of change for the interval between 0 and 2 for the quadratic equation will be 5. Then the correct option is C.

It is the average amount by which the function varied per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph depicting the function.

Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]

The function is given below.

f(x) = 2x² + x - 3

The rate of change of the function for the interval between 0 to 2 is calculated as,

Average rate = [f(2) - f(0)] / [2 - 0]

Average rate = [(2(2)² + 2 - 3) - (2(0)² + 0 - 3)] / 2

Average rate = 10 / 2

Average rate = 5

The rate of change for the interval between 0 and 2 for the quadratic equation will be 5. Then the correct option is C.

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Por razones trigonométricas, encontramos que las alturas de la torre y el edificio son de aproximadamente 11.548 metros y 31.548 metros, respectivamente.

En esta pregunta debemos utilizar conceptos de trigonometría para determinar la altura de los dos edificios. A continuación, tenemos las siguientes expresiones trigonométricas:

Diferencia entre las alturas del edificio y el torre

20 = r₁ · sin 60°

r₁ ≈ 23.094 m

Ahora determinamos el valor de r₂ mediante identidades trigonométricas:

r₂ = r₁ · (cos 60°/cos 45°)

r₂ = (23.094 m) · (cos 60°/cos 45°)

r₂ ≈ 16.330 m

Finalmente, obtenemos las alturas de cada edificio:

Torre

h = (16.330 m) · sin 45°

h ≈ 11.548 m

Edificio

h' = h + 20 m

h' = 11.548 m + 20 m

h' = 31.548 m

Por razones trigonométricas, encontramos que las alturas de la torre y el edificio son de aproximadamente 11.548 metros y 31.548 metros, respectivamente.

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The segment OB' has a length of 3 units

From the question, we have the following parameters that can be used in our computation:

Scale factor = 4

Length of segment OB = 3/4

The above means that:

Length of segment OB' = Length of segment OB * Scale factor

Substitute the known values in the above equation

So, we have the following dilation equation

Length of segment OB' = 3/4 * 4

Evaluate

Length of segment OB' = 3

Hence, the length of OB' is 3 units

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Answer:

The answer is y=-1 (answer is C).

The measure of A is: 78°

Answer:

Area is 24 unit ²

Step-by-step explanation:

Given :-

To find:-

Solution:-

We know , The formula for finding area of triangle is 1/2×b×h

putting the known values ,

Area = 1/2 × 8 × 6 unit²

Area = 24 unit²

The percentage error is approximately 10%

We have:

Estimated = 1242

Actual = 1378

The change in the measurement is:

Change = Actual - Estimate

So, we have:

Change = 1378 - 1242

Evaluate

Change = 136

The percentage error is then calculated as:

Percentage error = Change * 100%/Actual

This gives

Percentage error = 136 * 100%/1378

Evaluate

Percentage error = 9.869%

Approximate

Percentage error = 10%

Hence, the percentage error is approximately 10%

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Answer:

103 is ur answer hope this helps

Answer:

The answer is 0 or C on Edge.

Step-by-step explanation:

Got it right. 2021.

Answer:

1/8

Step-by-step explanation:

9/8=9 x 1/8 because to find this, you have to divide 9 by 9/8. When you divide fractions, you have to find the reciprocal of the fraction. In this case, it would be 1/9=9/8. Multiply those together to get 1/8.

Answer:

x=2

Step-by-step explanation:

10 - (x + 3) = 5

To solve for x, we can start by simplifying the left side of the equation:

10 - (x + 3) = 5

10 - x - 3 = 5

7 - x = 5

Next, we can isolate x on one side of the equation by subtracting 7 from both sides:

7 - x = 5

7 - x - 7 = 5 - 7

-x = -2

Finally, we can solve for x by dividing both sides of the equation by -1:

-x = -2

x = 2

Therefore, the solution to the equation is x = 2.

According to the FIFO method, the ending inventory balance for Commodity Z is $1,405

FIFO means that earlier inventory is sold first and later inventory would be the last goods left.

Since there were 23 units left, all 16 units from the last purchase and 7 units from the second purchase would be available:

= (16 x 62) + (7 x 59)

= 992 + 413

= $1,405

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Answer:

\(y = \frac{1}{3}x-4\)

Step-by-step explanation:

Step 1:  Solve for y in the first equation

\(3y - x = -12\)

\(3y - x + x = -12 + x\)

\(\frac{3y}{3} = \frac{x}{3} - \frac{12}{3}\)

\(y = \frac{1}{3}x - 4\)

Step 2:  Determine the important aspects

We know that our line is parallel to the other line that has a slope of 1/3 which means that our slope is also going to be 1/3.  We also know that our line crosses the point (18, 2) which means that we can use the point slope form to determine our equation

Point Slope Form → \((y-y_1) = m(x - x_1)\)

Step 3:  Plug in the information and solve

\((y-2) = \frac{1}{3}(x - 18)\)

\(y - 2 = \frac{1}{3}x - 6\)

\(y - 2 + 2 = \frac{1}{3}x - 6 + 2\)

\(y = \frac{1}{3}x-4\)

Answer: \(y = \frac{1}{3}x-4\)

Cost C = $276,650

Initial quote = $28000

If Eli spends 30% of 4,475 = $1342.5 monthly

Then now calculate

3.5% down of $276,650 = $9682.75

Substract $28000- $9682.75 = 18317.25

Now find ,fixed rates

For 6.5% , interest is.

She have to pay a quote of (276,650- 9682.75)/12•30

. = $741.57

For 5% down of $276,650 = 13832.5

Eli have now $28000- $13832.5 = 14167.5

She have to pay a quote of (276,650- 13832)/30•12 = $262818/360

. = $730

Interest fixed rate 6.25%

Then find 730• ( 1+ 6.25/100)^ 30 = 4500 in 30 years

Now option C)

6.5% down = $276,650x 6.5/100 = $17982.25

Eli have now $28000 - 17982.25 = 10017.75

She have to pay a quote of (276,650 - 17982)/30•12

. = $718.52

Then find 718.52•( 1+ 5.75/100)^30 = 3844.6. in 30 years

Option D)

10% down = $276,650x10/100 = $27,665

Eli have now $28000- 27,665 = $335

She have to pay a quote of (276,650 - 27665)/30•12 =

. = $691.625

Then find now 691.625•(1+ 5/100)^30 = $2989.16 in 30 years

So ,in conclusion we have to choose the minor value of quote. In this case is

ANSWER IS

OPTION D) $2989,16

Yes, because for each input there is exactly one output. Therefore, the relation represented by the mapping diagram is a function.

To determine if the relation represented by the given mapping diagram is a function, we need to check if each input (x value) has exactly one output (y value) associated with it.

From the given mapping diagram, we can see that:

The input value -3 is associated with the output value 0.

The input value -1 is associated with the output value 2.

The input value 1 is associated with the output value 0.

The input value 3 is associated with the output value 2.

The input value 5 is associated with the output value 5.

As we can see, each input value has exactly one output value associated with it. Therefore, the relation represented by the mapping diagram is a function.

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Answer:

100 degrees

Step-by-step explanation:

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The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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The value of c, using the normal distribution, is given as follows:

c = 2.

The z-score of a measure X of a normally distributed variable that has mean symbolized by the symbol \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The p-value of Z = -0.99 is given as follows:

0.1611.

Hence the p-value of c is given as follows:

0.8167 + 0.1611 = 0.9778.

Looking at the z-table, the value of c is given as follows:

c = 2.

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Answer:

Step-by-step explanation:

The domain is the set of x values, and the range is the set of y values.

Answer:

y > -x/6 + 1

Step-by-step explanation:

Hope this can help

The graph of the inequality \(y > -(\frac{1}{6} )x+1\)  is option "A" .

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line.

According to the question

The inequality : \(y > -(\frac{1}{6} )x+1.\)  

now first we take out points to plot graph for that we will assume inequality to equation

i.e  

\(y = -(\frac{1}{6} )x+1\)

x          y  

0          1

6          0

Now , as inequality have > sign

i.e according to the graph of inequality rules:

The boundary line is dashed for > and < and If the symbol ≥ or > is used, shade above the line.

Therefore,

Graph will be option "A" only .

Hence, the graph of the inequality \(y > -(\frac{1}{6} )x+1\)  is option "A" .

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The horizontal shift is to the right.

The exact period is 8/7.

In a trigonometric function, written of the form

y = A csc (Bx - C)

the parameters are interpreted as follows

A is the amplitude

B is period / 2π

C is the horizontal shift

comparing with the equation y = 2 csc (7π/4x - 21π/2). we have that

horizontal shift = -21π/2 since it is positive it is to the right

The exact period is

Period = 2π / (7π/4)

= 8/7

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Using it's concept, the set of ordered pairs that represent a function are:

The set of ordered pairs that do not represent a function are:

A relation represents a function if each input X is mapped to only one output Y.

At (1,9), (-3,-2) (1,-4), input 1 is mapped to outputs 9 and -4, hence it is not a function.

At (0, 3), (0, 7), (4,0), input 0 is mapped to outputs 3 and 7, hence it is not a function.

For the other relations, each input is mapped to only one output, hence they are functions.

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Step-by-step explanation:

hope the above solution will help you

Answer:

C. 101 3/4; $1017.50

Step-by-step explanation:

Correct on E2020!

Easy way to do this, divide 24 with 3, you will get 8. That means 8 is 1/3 of 24. To get 2/3 you just add 8+8 which equals to 16

Answer:

0.0806

Step-by-step explanation:

From the given information:

Number of toss = 50

The probability of having a head = 1/2 = 0.5

The Probability of 8th head occur on 12th toss can be computed as :

Pr(8th head occur on 12th toss) = Pr(7 heads in 11 toss) × P(8th head on 12th toss)

Pr(8th head occur on 12th toss) =  C(11,7) × 0.5⁷ × (1 - 0.5)⁴ * 0.5

Pr(8th head occur on 12th toss) = \(\dfrac{11!}{7!(11-7)!}\) × 0.5⁷ × (1 - 0.5)⁴ × 0.5

Pr(8th head occur on 12th toss) =  0.0806

Answer:

The probability of 8th heads,

That is occurred on 12th toss.

Step-by-step explanation:

A coin is tossed 50 times.

There are two possible outcomes of occurring a head or tail.

Probability of occurring head = no.of head/ possible outcomes

                                                    = 1/2

Total number of tossing a coin= 50 times

Probability of 8th heads occurs on 12th toss:

                                                         12C8 (1/2)8 (1/2)9 (1/2)10 (1/2)11 (1/2)12

                                 =         12C8  (1/2)8+9+10+11+12

                                                    = 12C8  (1/2)50

                                  = 12C8   / 250

                                                       = 495 / 1125899906842624

                                  = 4396.48317752 x 10-16

This is the probability of 8th heads,

That is occurred on 12th toss.

Answer:

I don't really know

Step-by-step explanation:

but good luck

Answer:

y = 4x - 11

Step-by-step explanation:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

We can find b, the y-intercept of the line, by plugging in 4 for m and (3, 1) for (x, y) in the slope-intercept form:

1 = 4(3) + b

1 = 12 + b

-11 = b

Thus, the y-intercept is -11.

Thus, the equation of the line with a slope of 4 passing through the point (3, 1) in slope-intercept form is y = 4x - 11

The answer is:

Work/explanation:

First, we will write the equation in point slope:

\(\sf{y-y_1=m(x-x_1)}\)

where m = slope;

(x₁,y₁) is a point on the line.

Plug in the data:

\(\sf{y-1=4(x-3)}\)

Simplify

\(\sf{y-1=4x-12}\)

Add 1 on each side

\(\sf{y=4x-12+1}\)

\(\sf{y=4x-11}\)

Answer:

Angle APB is 95∘

Step-by-step explanation:

180 - 54 = 126

126 - 31 = 95

Answer:

145 Degree

Step-by-step explanation:

it is a reflex angle and all reflex angle measures at 145 Degrees