=
) MZEFG = 14x + 14, mZCFG=6x + 16,
and mZEFC = 86°. Find mZCFG.
=
G
F
E
E.
C

If possible please answer #14 and 15

Answer:

E'=[0,-8]

H'=[0,-3]

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 hour=3600 sec

1 min=60 sec

The nearest tenth: the answer is 75.

We can write the given problem as an equation:

```

120% * x = 90

```

We can solve for x by dividing both sides of the equation by 120%. Percent means "out of one hundred," so 120% is equivalent to 120/100 = 1.2. Dividing both sides of the equation by 1.2, we get:

```

x = 90 / 1.2

```

≈ 75

Therefore, 90 is 120% of 75.

To understand this answer, let's think about what it means for 90 to be 120% of something. 120% means that 90 is 120 out of every 100 possible values. So, if x is the value that we are looking for, then we know that 90 is 120% of x because 90 is 120 out of every 100 possible values of x. We can set up an equation to represent this:

```

90 = 120/100 * x

```

Solving for x, we get:

```

x = 90 * 100 / 120

```

≈ 75

Therefore, 90 is 120% of 75.

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Answer:

2/2 = 1

Step-by-step explanation:

Slope intercept equation:

y2 - y1 / x2 - x1 = slope

The sequence of transformations used to show the congruence of polygons JKLMN and PQRST is to reflect PQRST across the y-axis and then translate the result down 10 units.

We are given two polygons. Both the polygons are congruent, and to prove it, we can use the concept of transformations. The first transformation we need to perform is to reflect the polygon PQRST across the y-axis. The next transformation that needs to be performed is to translate the result down by 10 units. We find that the polygon PQRST now coincides with the polygon JKLMN. Hence, it is proved that the polygons are congruent to each other.

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Answer:

B

Step-by-step explanation:

Answer:

B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)

Step-by-step explanation:

Answer:

Yes, he will have enough in 10 weeks

Step-by-step explanation:

1 - Set up an equality statement to prove

He starts with 50, and earns 15 per week to earn more than 200.

Therefore,

50 + 15 per week for 10 weeks must be greater than or equal to 200

or

50 + 15x ≥ 200

2 - "Plug and chug" to solve

50 + 15x ≥ 200

50 + 15(10) ≥ 200

50 + 150 ≥ 200

200 ≥ 200

3 - Prove

Is 200 greater than equal to 200? Yes its equal thus this statement is valid which means he will have enough in 10 weeks

Hope this helps :)

The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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Answer:

sorryi dont know

Step-by-step explanation:

Answer:

let the numbers be xy

general form of the number =10x+y

sum of digits of a number =14

x+y=14………[1]

if 18 is added to the number, then digits are interchanged

10x+y+18=10y +x

9x-9y=-18

X-y=-2………[2]

the linear equations are 1) x+y=14

2) X-y=-2

adding [1],[2]

2x=12

x=6

x+y=14

y=14-x

y=14-6

y=8

there fore the number =10*6+8

=68

check:-

1)6+8=14

2)68+18=86

I hope this helped!

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

At this rate, Paula will use 35 oz of sauce and 28 oz of cheese to make 7 pizzas.

To determine how much sauce and cheese Paula's Pizza Parlor will use to make 7 pizzas, we need to first find the rate at which the ingredients are used. From the given information, we can see that 3 pizzas require 15 oz of sauce and 12 oz of cheese. This means that each pizza requires 5 oz of sauce and 4 oz of cheese.

To find the total amount of sauce and cheese needed for 7 pizzas, we can simply multiply the amount needed for one pizza by 7. This gives us a total of 35 oz of sauce and 28 oz of cheese needed to make 7 pizzas.

It is important to accurately calculate the amount of ingredients needed for a given amount of pizzas to ensure that there is enough to satisfy demand without wasting excess ingredients. This can help businesses like Paula's Pizza Parlor manage their inventory and expenses efficiently.

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Given:

Jamie and Marshall's team tied Shawna and Wyatt's team for the top team score.

Marshall scores 12 less than Jamie. Shawna scored twice as much as Marshall. Wyatt scored 4 less than Shawna.

To find:

The individual score of each person.

Solution:

Let x be the score of Jamie.

Marshall scores 12 less than Jamie.

Marshall score = x-12

Shawna scored twice as much as Marshall.

Shawna score = 2(x-12)

Wyatt scored 4 less than Shawna.

Wyatt score = 2(x-12)-4

Now,

Score of Jamie and Marshall's team \(=x+(x-12)\)

Score of Shawna and Wyatt's team \(=2(x-12)+2(x-12)-4\)

Jamie and Marshall's team tied Shawna and Wyatt's team

\(x+(x-12)=2(x-12)+2(x-12)-4\)

\(x+x-12=2x-24+2x-24-4\)

\(2x-12=4x-52\)

Isolate x.

\(2x-4x=-52+12\)

\(-2x=-40\)

Divide both sides by -2.

\(x=\dfrac{-40}{-2}\)

\(x=20\)

So, Jamie score = 20

Marshall score = 20-12

                        = 8

Shawna score = 2(20-12)

                        = 2(8)

                        = 16

Wyatt score = 2(20-12)-4

                     = 2(8)-4

                     = 16-4

                     = 12

Therefore, the scores of Jamie, Marshall, Shawna and Wyatt are 20, 8, 16 and 12 respectively.

In order to determine whether the Weibull distribution or another distribution might be a better fit for the lifespan of these battery packs, it would be important to analyze the data and compare the goodness-of-fit statistics for different distributions.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

The normal distribution is a very common and useful distribution for modeling many real-world phenomena, including the lifespan of battery packs. However, there are certain situations where other distributions may be more appropriate.

One example of a distribution that could potentially be a better fit for the lifespan of these battery packs is the Weibull distribution. The Weibull distribution is often used to model the failure rates of components, including batteries. It has a flexible shape that can be adjusted to fit different types of failure patterns, and it can handle both increasing and decreasing failure rates.

In order to determine whether the Weibull distribution or another distribution might be a better fit for the lifespan of these battery packs, it would be important to analyze the data and compare the goodness-of-fit statistics for different distributions. This could involve using statistical software to fit various distributions to the data and comparing the resulting fit statistics, such as the Akaike information criterion (AIC) or the Bayesian information criterion (BIC), to determine which distribution provides the best fit.

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Answer:

7 is the tenth place and 8 is in the hundredth place.

so it is rounded to 0.78 since 2 is below 5.

Step-by-step explanation:

Answer:

As in 10/10? The answer would be 1

Answer: ‭$54.75

Step-by-step explanation:

The price the shoes are sold to the warehouse is:

= 24 * ( 1 + 15%)

= 24 * 1.15

= $27.60

The price the warehouse sells it is:

= 27.60 + 10

= $37.60

Price distributor sells is:

= 37.60 * 1.12

= $42.112

Fine shoes will then sell at 30% profit:

= 42.112 * 1.3

= $‭54.7456‬

= ‭$54.75

Answer: The answer is 15.

Step-by-step explanation:

The range is the difference between the smallest and highest numbers in a list or set. In this case, the highest is 172 and the smallest 157. Subtract these two numbers to get 15, and there you go your range.

Answer:

Step-by-step explanation

PEMDAS

I would insert some parenthesis first

(-8/2)+(12*9)-(4*6)=

(-4)+(108)-(24)=-4+108-24=80

Answer:

74

Step-by-step explanation:

Add all the numbers then divide by the number of numbers you have listed.

740/10= 74

Hope this helps!

the required line is y = 3x - 5. the equation of the line containing the point P (2, 1) and having slope m = 3 is y = 3x - 5.

Problem: Graph the line containing the point P and having slope m, where P = (2, 1) and m = 3.

To draw the line having point P (2, 1) and slope 3, we have to follow the below steps; Step 1: Plot the point P (2, 1) on the coordinate plane.

Step 2: Starting from point P (2, 1) move upward 3 units and move right 1 unit. This gives us a new point on the line. Let's call this point Q.Step 3: We can see that Q lies on the line through P with slope 3.

Now draw a line passing through P and Q. This line is the required line passing through P (2, 1) with slope 3.

The line passing through point P (2, 1) and having slope 3 is shown in the below diagram:

To draw the line with slope m passing through point P (2, 1), we have to use the slope-intercept form of the equation of a line which is y = mx + b, where m is the slope of the line and b is the y-intercept.

Since we are given the slope of the line m = 3 and the point P (2, 1), we can use the point-slope form of the equation of a line which is y - y1 = m(x - x1) to find the equation of the line.

Then we can rewrite it in slope-intercept form.

The equation of the line passing through P (2, 1) with slope 3 is y - 1 = 3(x - 2). We can simplify this equation as y = 3x - 5.

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Answer:

3*5=15 5*1=5 15-5=10

Step-by-step explanation:

The answer is 10.

Answer:

24) x = 9.2

25) x = 30.8

Step-by-step explanation:

Given

See attachment for triangles

Solving (24)

To solve for x, we make use of cosine formula

i.e.

cos(40) = adjacent ÷ hypotenuse

So, we have:

cos(40) = x ÷ 12

Multiply both sides by 12

12 cos(40) = x

12 * 0.7660 = x

x = 9.2

Solving (25)

To solve for x, we make use of sine formula

i.e.

sin(25) = opposite ÷ hypotenuse

So, we have:

sin(25) = 13 ÷ x

Multiply both sides by

x sin(25) = 13

Divide by sin(25)

x = 13 ÷ sin(25)

Using a calculator

x = 30.8

Answer:

Step-by-step explanation:

The slopes of both those lines are the same so there is no solution. Use slope triangles to find out the slope. They are both 1/4.

A. No solution

y = 1/4x+5

x - 4y = 4

You can simplify the second equation into y = 1/4x - 1

Since these equations both have the same slope, they are parallel. When two lines are parallel, they have no solutions.

Answer:

Step-by-step explanation:

By further evaluating your question, I concluded based on my observation that the equation you asked must be this one:

\(x^{2} -10x + y^{2} +6y -30\) = 0 or \(x^{2} -10x + y^{2} +6y = 30\)

by completing the square formula of the x and y, you can get the center point of the circle

(1) \([x^{2} -10x+25] +[y^{2} +6y+9] = 30 + 25 + 9\)

(2) \((x-5)^{2} +(y+3)^{2} = 64\)

this would give us the center point of (5,-3) and the radius of 8 units.

Area = \(\pi x 8^2\)

Area = 200.96 sq. units

The polar form of the equation represents all the points with a distance of 8 from the origin, which is a circumference with a radius of 8, centered on the origin.

The polar form is represented with the aid of polar coordinates of real and imaginary numbers in the coordinate system.

The horizontal and the vertical axis of the polar form denote the real axis and the imaginary axis, respectively.

The given equation to polar form is;

\(\rm x^2+y^2=64\)

Using the formulae that link Cartesian to Polar coordinates.

x = rcosθ and y = rsinθ

Substitute these values into the equation.

\(\rm x^2+y^2=64\\\\(rcos\theta)^2+(rsin\theta)^2=64\\\\r^2cos^2\theta +r^2sin^2\theta =64\\\\r^2(cos\theta^2+sin\theta^2)=64\\\\Where ; \ sin^2\theta + cos^2\theta=1\\\\r^2(1)=64\\\\ r^2=8^2\\\\r=8\)

Hence, the polar form of the equation represents all the points with a distance of 8 from the origin, which is a circumference with a radius of 8, centered on the origin.

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Answer:

38, 40, and 102

Step-by-step explanation:

when we take a look at this problem which looks the smallest to you? 38! so then whe look again and which looks the second smallest..? 40. so then we are left with 102 which is the biggest number. Therefore your answer is 38, 40, and 102

The lawyer's expected gain can be calculated by multiplying the probability of winning by the potential gain if she wins, and subtracting the cost of preparing the case. The lawyer's expected gain in this discrimination suit is $7,000.

Expected gain = (probability of winning * potential gain) - cost of preparing the case
Expected gain = (.3 * $40,000) - $5,000
Expected gain = $12,000 - $5,000
Expected gain = $7,000
To calculate the expected gain for the lawyer in this discrimination suit, we need to consider the probabilities of winning and losing, as well as the associated monetary outcomes.
The probability of winning is 0.3, and if she wins, she makes $40,000. The probability of losing is 1 - 0.3 = 0.7, and she gets nothing in this case. Regardless of the outcome, she has to spend $5,000 preparing the case.
To calculate the expected gain, we multiply the probability of each outcome by its respective monetary value and then sum them up:
Expected gain = (0.3 * $40,000) - $5,000
Expected gain = ($12,000) - $5,000
Expected gain = $7,000
So, the lawyer's expected gain in this discrimination suit is $7,000.

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Answer: I do not think that failing one class will effect your entire 6th grade year. Although, this is best discussed with your teachers or parents/guardians.

Answer:

118

Step-by-step explanation:

:)