| b + 10 | +7 = 12
show work

The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

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Answer:

A. 28.27 ft^2

Step-by-step explanation:

You're looking for the area of the circle.
Area of circle = \(\pi r^{2}\)
\(\pi (3)^{2}\)
= 28.27 ft^2

Answer:

117 students, 8 adults

Step-by-step explanation:

Let's say a adults went and s students went.

Total cost for adults = 23 for each a = 23a

Total cost for each student = 16s

Number of adults and students = a + s = 125

Total cost = 23a + 16s = 2056

a + s = 125

23a + 16s = 2056

We can solve this by solving for a and then plugging that into the other equation, making it so that there is only one variable

subtract s from both sides in the first equation

a = 125 - s

plug that into the second equation

23(125 - s) + 16s = 2056

2875 - 23s + 16s = 2056

2875 - 7s = 2056

subtract 2875 from both sides to isolate s and its coefficient

-7s = -819

divide both sides by -7 to isolate s

s = 117

a = 125 - s = 125 - 117 = 8

Answer:

Answer:

Chaperones = 8 and Student = 117

Step-by-step explanation:

Let,

Chaperones = x

Student = y

x + y = 125

=> x = 125 - y (1)

23x + 16y = 2056

=> 23(125 - y) + 16y = 2056

=> 2875 - 23y + 16y = 2056

=> 2875 - 7y = 2056

=> 2875 - 2056 = 7y

=> 819 = 7y

=> 819/7 = y

=> 117 = y

From 1

=> x = 125 - 117

=> x = 8

Answer y=-7

i have done this before please tell me if you NEED an explanation

Hi there!

We are given the slope of the line and a point that it passes through.

Using this information, we can solve this problem.

Start by writing this equation in Point-Slope form:

y-y1=m(x-x1)

y-(-7)=0(x-5)

y+7=0(x+5)

y=7

That's the equation. Hope it helps! :-)

~GracefulGirlie

Good luck on your assignment. :-)

The terminal point is (0.5, 0.866), and the value of the tangent is 0.173.

For any angle a, the coordinates of the terminal point are given by:

x = cos(a)

y = sin(a).

In this case, the angle is a = pi/3

Then the coordinates of the terminal point are:

x = cos(pi/3) = 0.5

y = sin(pi/3) = 0.866

So the terminal point is ( 0.5, 0.866)

And the tangent of that angle is equal to the quotient between the y-component and the x-component:

tan(pi/3) = 0.866/0.5 = 0.173

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Answer:

Terminal point: (1/2,sqrt3/2); tan 0 = sqrt3

Step-by-step explanation:

I am sorry if this is not right but I am pretty sure it is!

(Edit: It was right on the program!)

Answer:

The answer ia option 2

Step-by-step explanation:

When a line is parallel to the other line, they will have the same slope (gradient).

The new equation will be y = (1/4)x + b.

Next, you have to find the value of b, by substituting the coordinates into the equation :

\(y = \frac{1}{4} x + b\)

\(let \: x = - 4,y = - 2\)

\( - 2 = \frac{1}{4} ( - 4) + b\)

\( - 2 = - 1 + b\)

\(b = - 1\)

Answer:

f(5) = -45

Step-by-step explanation:

f(x) = -5(x + 4)

f(5) = -5(x + 4)

f(5) = -5(5 + 4)

f(5) = -5(9)

f(5) = -45

Answer:

C

Step-by-step explanation:

tanB = \(\frac{opposite}{adjacent}\) = \(\frac{AC}{BC}\) → C

To completely cover the rectangular wall that measures 290 square feet, Leah will require a minimum of 10 sheets of wallpaper.

To find the least number of sheets of wallpaper Leah will need, we first need to calculate the total area of the rectangular wall. We are given that the area of the wall is 290 ft².

Next, we need to find out how many 2 ft by 15 ft sheets of wallpaper Leah will need to cover this area.

We can start by figuring out the area that one sheet of wallpaper can cover.

Each sheet of wallpaper has an area of 2 ft x 15 ft = 30 ft².

To cover the entire rectangular wall, Leah will need to divide the total area of the wall by the area of each sheet of wallpaper:

290 ft² ÷ 30 ft² = 9.67

Since Leah cannot use a partial sheet of wallpaper, she will need to round up to the nearest whole number. Therefore, Leah will need at least 10 sheets of wallpaper to cover the rectangular wall with an area of 290 ft².

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Therefore,  subscript indices must be either positive integers or logical. True

Explanation: The statement "subscript indices must be either positive integers or logicals" is true. Subscript indices are used to identify elements in an array. A positive integer subscript identifies a particular element in an array, while a logical subscript identifies a subset of elements based on a logical condition. For example, if we have an array A, then A(1) would identify the first element of the array, while A(A > 0) would identify all elements in the array that are greater than zero. Subscript indices cannot be negative or non-integer values.

Therefore,  subscript indices must be either positive integers or logical. True

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Answer:

14.9cm

Step-by-step explanation:

hope it helps you good day.

For the transformation at -78 °C, appropriate reagents include lithium aluminum hydride (LiAlH4) and diethyl ether.

At -78 °C, certain chemical reactions require the use of specific reagents to achieve the desired transformation. One commonly used reagent is lithium aluminum hydride (LiAlH4), which acts as a strong reducing agent. It is capable of reducing various functional groups, such as carbonyl compounds, to their corresponding alcohols.

Diethyl ether is typically employed as a solvent to facilitate the reaction and ensure efficient mixing of the reactants. Researchers often utilize this low temperature for reactions involving sensitive or reactive intermediates, as it helps control the reaction and prevent unwanted side reactions.

The use of LiAlH4 and diethyl ether provides a reliable combination for achieving the desired transformation at this temperature, enabling chemists to manipulate and modify compounds in a controlled manner.

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Answer:

166.68

Step by Step:

166.678

The bolded number is greater than 5 meaning you have to round up.

so 166.678 is rounded to 166.68.

Hope this helped.

Answer:

5

Step-by-step explanation:

Without using a calculator, the trigonometric expressions simplify to:

1. sin^(-1)(sin(θ/6)) = θ/6

2. cos^(-1)(cos(5/4)) = 5/4

3. tan^(-1)(tan(5/6)) = 5/6.

To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.

1. sin^(-1)(sin(θ/6)):

Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.

2. cos^(-1)(cos(5/4)):

Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.

3. tan^(-1)(tan(5/6)):

tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.

Hence, without using a calculator, we find that:

sin^(-1)(sin(θ/6)) = θ/6,

cos^(-1)(cos(5/4)) = 5/4,

tan^(-1)(tan(5/6)) = 5/6.

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The statement that the National Vulnerability Database (NVD) is responsible for actively performing vulnerability testing for every company software and hardware infrastructure is false.

The National Vulnerability Database (NVD) is a repository of security vulnerabilities and related information. It serves as a comprehensive database that provides information on known vulnerabilities in various software and hardware products. However, the NVD itself is not responsible for actively performing vulnerability testing for every company's software and hardware infrastructure.

Vulnerability testing is typically conducted by individual companies, organizations, or specialized security firms. Companies and organizations perform their own vulnerability testing or hire external professionals to assess and identify vulnerabilities in their software and hardware systems. They may use a variety of methods, such as penetration testing, code reviews, and vulnerability tools, to uncover potential security weaknesses.

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To write a quadratic function from its vertex and another point, we can use the vertex form of a quadratic function, which is f(x) = a(x-h)^2 + k. Substitute the coordinates of the vertex and the other point into the vertex form to find the value of a. Then, substitute the value of a back into the vertex form to get the quadratic function.

To write a quadratic function from its vertex and another point, we can use the vertex form of a quadratic function, which is f(x) = a(x-h)^2 + k. In this form, (h, k) represents the coordinates of the vertex of the parabola.

Let's say the vertex of the quadratic function is (h, k) and the other point is (x1, y1). We can substitute these values into the vertex form to find the value of a.

Substituting the vertex coordinates, we get:

f(h) = a(h-h)^2 + k

f(h) = k

Substituting the coordinates of the other point, we get:

f(x1) = a(x1-h)^2 + k

Now, we have two equations:

k = a(0)^2 + k

y1 = a(x1-h)^2 + k

From the first equation, we can see that k = k, which is always true. Therefore, we can ignore this equation.

From the second equation, we can solve for a:

y1 - k = a(x1-h)^2

a = (y1 - k) / (x1-h)^2

Now that we have the value of a, we can substitute it back into the vertex form to get the quadratic function:

f(x) = a(x-h)^2 + k

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The probability that the second apple picked is red is 4/9.

The bag contains a total of 19 apples: 9 red and 10 yellow.

On the first draw, there are 19 apples to choose from, so the probability of picking a yellow apple is 10/19.

After removing one yellow apple from the bag, there are 18 remaining apples, of which 8 are red and 10 are yellow.

On the second draw, there are now 18 apples to choose from, so the probability of picking a red apple is 8/18.

Therefore, the probability of picking a red apple on the second draw, given that a yellow apple was picked on the first draw, is 8/18.

Simplifying, we get:

Probability = 4/9

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The Forecasted attendance for the eighth year using exponential smoothing with a smoothing constant of 0.8 is approximately 144.16.

To forecast the attendance for the eighth year using exponential smoothing with a smoothing constant of 0.8, we can follow these steps:

Start with the actual attendance data for the previous years:

Year 1: 47

Year 2: 68

Year 3: 65

Year 4: 92

Year 5: 98

Year 6: 121

Year 7: 146

Calculate the forecast for the first year using the given formula:

f1 = actual attendance for the first year = 47

or the second year and beyond, use the exponential smoothing formula:

fn = α * actual attendance for year n + (1 - α) * previous forecast

where α is the smoothing constant (0.8) and fn is the forecast for year n.

For the second year:

f2 = 0.8 * 68 + (1 - 0.8) * 47

= 54.4 + 9.4

= 63.8 (rounded to one decimal place)

For the third year:

f3 = 0.8 * 65 + (1 - 0.8) * 63.8

= 52 + 12.8

= 64.8

Repeat this process for the remaining years until the seventh year.

Finally, to forecast the attendance for the eighth year, use the same formula:

f8 = 0.8 * actual attendance for the seventh year + (1 - 0.8) * forecast for the seventh year

f8 = 0.8 * 146 + (1 - 0.8) * 136.8

= 116.8 + 27.36

= 144.16 (rounded to two decimal places)

Therefore, the forecasted attendance for the eighth year using exponential smoothing with a smoothing constant of 0.8 is approximately 144.16.

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The forecast for attendance in the eighth year is approximately 123.92 (rounded to two decimal places).

The forecast for the eighth year using exponential smoothing with a smoothing constant of 0.8 can be calculated as follows:

f1 = 47 (given)

f2 = 0.8(47) + 0.2(68) = 52.6

f3 = 0.8(52.6) + 0.2(65) = 54.32

f4 = 0.8(54.32) + 0.2(92) = 67.056

f5 = 0.8(67.056) + 0.2(98) = 80.245

f6 = 0.8(80.245) + 0.2(121) = 100.196

f7 = 0.8(100.196) + 0.2(146) = 123.917

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Trey will have to add 3 9/16 cups to increase the recipe 1 1/2 times.

To calculate the number of cups needed to add to increase the recipe 1 1/2 times, we have to multiply the original amount of flour by 1 1/2 times. With the help of this method we will be able to find out the number of extra cup of flour that needs to be added when the recipe is increased by 1 1/2 times.

To calculate number of increased cups, we need to:

2 3/8 * 1 1/2

let's convert the mixed fractions into improper fraction:

19/8 * 3/2

To multiple two fractions, multiply the numerators and denominators:

(19 * 3) / (8 * 2)

57 / 16

The mixed fraction would be:

3 9/16

Therefore. number of cups needed to increase the recipe 1 1/2 times is

3 9/16.

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19 Step-by-step explanation:

Answer:

3.45 sqft

Step-by-step explanation:

Calculate all the areas individually, the 3 lateral sides are the same and using the formula for area we have 1/2 base times height. The height is 2 ft and the base is 1 ft so the area of one of the lateral sides is 1 ft.

There are three lateral sides so you multiply 1 by 3 to get 3.

The base is done the same way. It's base is 1 ft and it's height is 0.9ft so the area is 0.45.

3 + 0.45 = 3.45

The surface area is 3.45 sqft.

I could be wrong but the formula and process is the same, calculate the sides individually using the base height formula for area.

Answer:

i think G sorry if its wrong

Step-by-step explanation:

Answer:it’s 160

Step-by-step explanation:

Answer:

Step-by-step explanation:

For a set of numbers to be a side of a triangle, two of the numbers must add up to greater than the third number. And that must be repeated for all the numbers.

Right of the bat, we notice the bottom left choice is the answer because 15 plus 27 is less than 43.

Hope that helps!

Answer:

seven and fifty-two thousandths as a decimal

Step-by-step explanation:

7.52

Your answer should be 7.052

The and represents the decimal point, meaning that 7 is in the ones places, and the decimals go in the following order:

tenths, hundredths, thousandths, and so on. Because the 52 was in the thousandths place, that’s where the 2 goes, and the 5 is in the hundredths place. I hope this helped you

Answer:

125 and 185

Step-by-step explanation:

first u have to use the table values and put them in the linear equation.

so you have in first: w= 7, so: h= 20.7-15-->h=125

and in the last: w=10, so h=20.10-15-->h=185

Answer:

6x^2-7x+2

Step-by-step explanation:

Given data

We have the expression

(2x-1)(3x-2)

First let us open the bracket

2x(3x-2)-1(3x-2)

6x^2-4x-3x+2

Collect like terms

6x^2-7x+2

1) The distance left in the race is  554.93km

2) The total amount earned is $2,178.91

We know that the total race is of 1000km, to find the distance missing, we need to take that total distance and subtract the amounts that the cyclist already traveled.

Then we will get:

distance left = 1000km - 145.8km - 136.65km - 162.62 km

distance left = 554.93km

That is the distance left in the race.

2) We know that each piece costs $19.99, and 109 pieces are sold, then the amount earned is the product between these two numbers.

Earnings = 109*$19.99  = $2,178.91

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Answer:

I think this would be 182

Step-by-step explanation: