4y-5x=-8
-Step-by-step answer
-Solve for y
-I know the answer I just need the problem solved step-by-step

Answer: A triangular prism has a base of a rectangle as shown in this picture.

Step-by-step explanation: If your having trouble recognizing prisms here's a tip. All prisms have a rectangular base. :)

Answer:

-20

Step-by-step explanation:

because -32 plus 12 is -20

hope that helps!!

The mean of the given frequency distribution is 587.12.

What is frequency distribution?

In frequency tables or charts, frequency distributions are displayed. The actual number of observations that fall into each range can be seen in frequency distributions, as well as the proportion of observations that do.

We are given a frequency distribution table.

We know that the mean is the average of sum of all the values.

So, we first get the values as :

⇒ 610 * 12 = 7320

⇒ 537 * 6 = 3222

⇒ 597 * 10 = 5970

⇒ 572 * 14 = 8008

⇒ 590 * 9 = 5310

⇒ 606 * 6 = 3636

Now, on adding all the values, we get

⇒ 7320 + 3222 + 5970 + 8008 + 5310 + 3636

⇒ 33466

So,

⇒ Mean =  33466 ÷ 57

⇒ Mean = 587.12

Hence, the mean of the given frequency distribution is 587.12.

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Answer:

y = 5x

Step-by-step explanation:

Hey there!

To start with the hypotenuse of a triangle is the longest side of it

and to get an equation of a line you would use

y = mx + b

where m is the slope

and b is the y-intercept

to get the slope you would do rise over run

rise/run

take 2 points and see how much it rises and runs to the next point

you would then get 5

then we figure out the y-intercept where the line intercepts the y-axis

in this case 0

In conclusion the answer is y = 5x + 0

we can also remove the 0 because it is unnecessary

y = 5x

Required area of the composite figure is 69 cm²

What is area of a composite shape?

the area covered by any composite shape. A composite shape is a shape in which some polygons are put together to form the required shape is called the area of composite shapes . These figures can consist of combinations of triangles, rectangles, squares etc. To determine the area of composite shapes, divide the composite shape into basic shapes such as square, rectangle,triangle, hexagon, etc.

Basically, a compound shape consists of basic shapes put together. This is also called a "composite" or "complex" shape. This mini-lesson explains the area of compound figures with solved examples and practice questions.

Here in this figure, we have two figures.

First one is rectangle and second one is triangle.

Length and breadth of the rectangle are 12 cm and 4 cm respectively.

So, area = Length × Breadth = 12 × 4 = 48 cm²

Again height of the triangle is (11-4) = 7 cm and base of the triangle is (12-6) = 6 cm.

So, area of the triangle = 1/2 × 7 × 6 = 3×7 = 21 cm²

Now if we add both area of rectangle and triangle then we will get area of the composite figure.

So, required area of the composite figure is ( 48+21) = 69 cm²

Therefore, option A is the correct option.

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Answer:

-23.8 and +23.8

Step-by-step explanation:

Answer:

The 95% confidence interval lies between -23.8 and +23.8

Step-by-step explanation:

I just did it on Edmentum.

Answer:

the graph would be vertical

The value of side a in triangle ABC is approximately 13.9 cm, assuming ∠B is a right angle.

In triangle ABC, we are given that ∠A = 53° and side c = 7 cm. We need to find the value of side a when side b = 16 cm.

To solve for side a, we can use the Law of Sines. According to the Law of Sines, in a triangle with sides a, b, and c, the ratio of the length of each side to the sine of its opposite angle is constant.

The formula for the Law of Sines is:

a/sin(∠A) = c/sin(∠C)

We can rearrange this equation to solve for side a:

a = (sin(∠A) * c) / sin(∠C)

Plugging in the known values, we have:

a = (sin(53°) * 7 cm) / sin(∠C)

To find the value of ∠C, we can use the fact that the sum of the angles in a triangle is 180°. Since we know ∠A = 53°, we can find ∠C:

∠C = 180° - 53° - ∠B

In this case, we are not given ∠B, so we cannot calculate ∠C and thus cannot find the exact value of side a.

However, we can find an approximate value for side a by assuming the triangle is a right triangle. In a right triangle, one angle is 90°, and the sum of the other two angles is 90°. If we assume that ∠B is a right angle, then ∠C is 180° - 53° - 90° = 37°.

Using this assumption, we can calculate the approximate value of side a:

a = (sin(53°) * 7 cm) / sin(37°)

Calculating this expression, we find that side a is approximately equal to 13.9 cm, rounded to the nearest tenth.

Therefore, the value of side a in triangle ABC is approximately 13.9 cm, assuming ∠B is a right angle.

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(A) The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R'  is 1/2

(B) Coordinates of Δ P"Q"R"

P" (-4,0)

Q"(-3,1)

R"(1,-2)

(C) Triangles PQR and P"Q"R" are not congruent.

Given

ΔPQR is transformed into ΔP'Q'R'

Coordinates of P, Q, R are

P (8,0),

Q(6,2)

R(-2,-4)

Coordinates of P'Q'R' are

P′(4, 0)

Q′(3, 1)

R′(−1, −2)

(A) By Distance formula we can find the distance between P Q and P'Q'

Distance formula = \(D = \sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)

Where D = Distance between two points

from distance formula we can write that

PQ = \(\sqrt{(6-8)^{2} +(2-0)^{2} } = \sqrt{4+4} =2 \sqrt{2}\)

Similarly

P'Q'= √2

PQ /P'Q' = 2

hence the scale factor of dilation is 1/2 (Compression)

(B )The Coordinates of Reflection about y axis can be written for a point

(x,y) as (-x,y)

So the Coordinated of Δ P"Q"R" can be written as

P" (-4,0)

Q"(-3,1)

R"(1,-2)

(C) ΔPQR  and ΔP"Q"R" are similar triangles but they are not  congruent because their sides  are not equal in size.

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Answer:

35

Step-by-step explanation:

since KJ is a tangent to angle HJK is right 90°

then triangle KHJ is right triangle with hypothenus HK = 37

applying pytha

hk ² = kj ² + hj ²

37² = 12² + radius²

radius = sqrt (37² - 12²)

radius = sqrt (1225)

radius = 35

The number of constraints required at each cut-point for a cubic spline is two, and the total degrees-of-freedom for the curve can be calculated using the formula:

degrees-of-freedom = (number of cubic polynomials) x 4 - (number of cut-points) x 2

When fitting a piecewise polynomial for a regression, the number of constraints required at each cut-point to obtain a cubic spline is two. These two constraints are known as continuity constraints. The first continuity constraint is that the two adjacent cubic polynomials must have the same function value at the cut-point. The second continuity constraint is that the two adjacent cubic polynomials must have the same derivative value at the cut-point. These constraints ensure that the cubic spline is smooth and continuous at each cut-point.
The total degrees-of-freedom for the curve can be calculated by subtracting the total number of constraints from the total number of parameters in the model. For a cubic spline, there are four parameters for each cubic polynomial and two constraints at each cut-point. Therefore, the total degrees-of-freedom for the curve can be calculated using the formula:
degrees-of-freedom = (number of cubic polynomials) x 4 - (number of cut-points) x 2
It is important to note that the number of cut-points is equal to the number of pieces minus one, where a piece refers to a continuous interval in the data that is fitted with a single cubic polynomial.

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After set s1.addAll(s2), s1 is [1, 2, 5, 2, 3, 6].

After performing the operation s1.addAll(s2) on sets s1 [1, 2, 5] and s2 [2, 3, 6], the set s1 would become[1, 2, 5, 2, 3, 6].

To determine the value of s1, the following steps has to be taken:

1. Start with sets s1 [1, 2, 5] and s2 [2, 3, 6].

2. Apply the addAll operation with set s2: [2, 3, 6]

3. Add each element from set s2 to set s1, while avoiding duplicates (since sets cannot have duplicate elements).

4. Therefore, suppose if set s1 is [1, 2, 5] and set s2 is [2, 3, 6] then, after s1.addAll(s2), the set s1 becomes [1, 2, 5, 2, 3, 6].

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Answer:

2(r+4)(r-4)

Step-by-step explanation

First, you want to factor out 2 from both terms, which gives you 2(r^2-16). Then you want to recognize that (r^2-16) is factorable into 2 terms. If you multiply (r+4) by (r-4) then you are given (r^2-16) as a result.

(x, y) = ( cos 45, sin 45) =

The correct option is A

The cube root of the given function is \(x=2\sqrt[3]{2}\).

The given function is x³=16.

Here, the given function can be written as

\(x=\sqrt[3]{16}\)

\(x=\sqrt[3]{2\times2\times2\times2}\)

\(x=\sqrt[3]{2^3\times2}\)

\(x=2\sqrt[3]{2}\)

Therefore, the cube root of the given function is \(x=2\sqrt[3]{2}\).

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"Your question is incomplete, probably the complete question/missing part is:"

How do you solve the cube root function of x³=16.

To find the mean of the given frequency distribution of quiz completion times, we need to calculate the weighted average of the data. The mean represents the average time taken by the students to complete the quiz.

In this case, the frequency distribution provides the number of students falling within different time intervals. We can calculate the mean by multiplying each time interval midpoint by its corresponding frequency, summing up these values, and dividing by the total number of students.

Calculating the weighted average, we have:

Mean = (1 * 3 + 3 * 6 + 5 * 20 + 8 * 8) / (3 + 6 + 20 + 8) = 133 / 37 ≈ 3.59 minutes.Therefore, the mean completion time for the statistics quiz is approximately 3.59 minutes. This indicates that, on average, students took around 3.59 minutes to complete the quiz based on given frequency distribution.

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To generate a simple random sample of three books for a literature course, the following processes can be used:

1. Assign a unique identifier number to each book on the list.

2. Use a random number generator to select three numbers between 1 and the total number of books on the list.

3. Identify the books that correspond to the selected numbers to obtain a simple random sample of size three from the list.

A simple random sample is a subset of a population that is selected randomly and without bias. To generate a simple random sample of three books for a literature course, the following processes can be used:

1. Assign a unique identifier number to each book on the list. For instance, if the list of classic works of literature includes 20 books, each book can be assigned a unique number from 1 to 20. This process ensures that each book has an equal chance of being selected.

2. Use a random number generator to select three numbers between 1 and the total number of books on the list. For example, a random number generator can be used to generate three numbers between 1 and 20. The random numbers generated should be unique and without bias. This process ensures that each book combination has an equal chance of being selected.

3. Identify the books that correspond to the selected numbers to obtain a simple random sample of size three from the list. Once the random numbers have been generated, the books that correspond to the selected numbers should be identified. These books will make up the simple random sample of size three from the list.

To obtain a simple random sample of size three from the following list of classic works of literature, the above process can be used:

1. To assign a unique identifier number to each book on the list, each book can be assigned a number from 1 to 9 as follows:

1. Wuthering Heights by Emily Bronte

2. The Great Gatsby by F. Scott Fitzgerald

3. Pride and Prejudice by Jane Austen

4. To Kill a Mockingbird by Harper Lee

5. Jane Eyre by Charlotte Bronte

6. Crime and Punishment by Fyodor Dostoevsky

7. The Catcher in the Rye by J.D. Salinger

8. Frankenstein by Mary Shelley

9. The Picture of Dorian Gray by Oscar Wilde

2. To use a random number generator to select three numbers between 1 and the total number of books on the list, a random number generator can be used to generate three numbers between 1 and 9. Suppose the following numbers are generated: 2, 4, 8.

3. To identify the books that correspond to the selected numbers to obtain a simple random sample of size three from the list, the books that correspond to the selected numbers are:

2. The Great Gatsby by F. Scott Fitzgerald

4. To Kill a Mockingbird by Harper Lee

8. Frankenstein by Mary Shelley

Thus, the simple random sample of size three from the list is The Great Gatsby by F. Scott Fitzgerald, To Kill a Mockingbird by Harper Lee, and Frankenstein by Mary Shelley.

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Answer:

500(3)^x

Step-by-step explanation:

Got it right on edge

The relationship between b (the number of years since the start of the study) and y (the mass of the sample in milligrams) using the exponential function:

y = 750(0.955)ᵇ

The rate of decay is given as 4.5% per year, which means that after one year, the sample will have decayed to 95.5% of its original mass.

After two years, it will have decayed to 95.5% of that amount, and so on. We can express this relationship between b (the number of years since the start of the study) and y (the mass of the sample in milligrams) using the exponential function:

y = 750(0.955)ᵇ

Here, the initial mass of the sample is 750 milligrams, and the factor of 0.955 represents the proportion of the original mass that remains after one year.

Taking this factor to the power of b gives us the proportion of the original mass that remains after t years, which we can multiply by the initial mass to get the current mass of the sample in milligrams.

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Question 1 : Janae can find out when she first hit the water by finding out the distance of travel, as well as her speed of travel

Question 2 :

Given that her height above the water can be modeled using the function below:

We can obtain her vertical distance of travel from the diving board to the point where she starts to descend

At the turning point,

Hence, Jane travelled a distance of 10 units upwards and (10 + 15)unit downwards

At the turning point, her velocity is zero, using the relation below we can find her initial velocity and then the time it took

From the turning point, her velocity changes from 0

The term 'GDP Gap' refers to the difference between the actual Gross Domestic Product (GDP) and the potential GDP of a country. It is a measure of the underutilization or overutilization of economic resources.

In the context of Australia's COVID-19 recession, the GDP Gap would indicate the extent to which the recession has impacted the country's economic output compared to its potential.

During a recession, the GDP Gap is usually negative, indicating a decline in economic activity. This gap arises due to factors such as decreased consumer spending, reduced investment, and increased unemployment. In the case of Australia, the COVID-19 pandemic triggered a significant economic plunge, leading to a confirmed recession.

The GDP Gap can be calculated by subtracting the actual GDP from the potential GDP. The potential GDP represents the level of economic output that could be achieved if all resources were fully employed. The larger the GDP Gap, the greater the underutilization of resources and the more severe the economic downturn.

The term 'GDP Gap' refers to the difference between actual GDP and potential GDP, and it is used to measure the extent of economic underutilization or overutilization. In the case of Australia's COVID-19 recession, the GDP Gap would indicate the negative impact of the recession on the country's economic output compared to its potential.

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Answer:

8

Step-by-step explanation:

hope this was helpful! ^^

Answer:

Step-by-step explanation:

A rectangular pyramid has five sides. It consists of a rectangular base and four triangular faces that meet at a common vertex or apex.

≧◉◡◉≦

The speed of the satellite is v = √(Gmp/r)

At the geostationary orbit, the gravitational force of attraction of the planet on the satellite equals the centripetal force on the satellite.

Let F = gravitational force  

\(F = \frac{Gm_{p}m }{r^{2} }\) where G = universal gravitational constant, mp = mass of the planet, m = mass of satellite and r = radius of geostationary orbit.

Also, the centripetal force F'

\(F^{'} = \frac{mv^{2}}{r}\) where m = mass of satellite, v = speed of satellite and r = radius of geostationary orbit.

Since both forces are equal,

F = F'

\(\frac{Gm_{p}m }{r^{2} } = \frac{mv^{2} }{r}\)

\(v^{2} = \frac{Gm_{p} }{r} \\v = \sqrt{\frac{Gm_{p} }{r} }\)

So, the speed of the satellite is v = √(Gmp/r)

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The given vertices of the triangle of isosceles.

What is an isosceles triangle ??

An isosceles triangle in geometry is one with at least two sides that are of equal length. Both having exactly two sides of equal length and having at least two sides of equal length are acceptable specifications, with the latter version containing the equilateral triangle as an exception. The faces of bipyramids, the golden triangle, the isosceles right triangle, and some Catalan solids are all examples of isosceles triangles.

In this figure, it is an isosceles triangle as two sides of the triangle are equal.

The given vertices are W(0,5), U(-2,1) and V(2,1)

So the sides of the triangle is:

w =√ (2-(2))² + (1-1)² = √(4)² = 4

u =√ (2-0)² + (1-5)² = √(4 + 16) = 4√5

v = √ (-2-0)² + (1-5)² = √(4 + 16) = 4√5

So its have two side as equal length.

Hence, the triangle of isosceles.

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The point-slope form equation y - 2 = -3/4(x - 6) has been plotted in the graph shown in the image attached below.

In Mathematics, the point-slope form simply refers to a standard equation which can only be used when the slope of a straight line and one of the points on this line are known.

Mathematically, the point-slope form of a straight line is represented by this equation:

y - y₁ = m(x - x₁)

Where:

The point-slope form equation is given as follows:

y - 2 = -3/4(x - 6)

From the information above, we can logically deduce the following parameters:

Point at y = 2.

Point at x = 6.

Slope, m = -3/4

For this exercise, you should input the x-value, y-value, and slope (m) into your point-slope form graph as shown in the image attached below.

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We'll use our normal distribution to determine how near this number is to nothing but this value. And by resolving this, we can obtain the mean alpha value. 18 mm .

It is assumed that the people who occupy the rented space are dispersed normally. We can state that the sample mean in January is 48 rooms since a sample of 16 days has a sample mean of 48 rules.The population mean, which is estimated to be between 40 and 56 rolls, is calculated using this data. The maximum will be 56, and a different scenario will be 448 minus Z alpha returning to 24 over square root of 16. It will be close to 40 in this valley. Act Alpha by two will give us 16, 24 over the square of the subsection, and 56 minutes. One minus alpha by two and the second letter of the Z alphabet We'll use our normal distribution to determine how near this number is to nothing but this value. And by resolving this, we can obtain the mean alpha value. 18 mm.

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Answer: The answer is option C: $17,925.00.

Step-by-step explanation: Using the simple interest formula:

I = Prt

where I is the interest, P is the principal, r is the interest rate, and t is the time in years.

We can find the interest earned over the 6 years:

I = P * r * t = $15,000 * 0.0325 * 6 = $2,925

Adding the interest to the principal, we get the balance at the end of the 6 years:

Balance = Principal + Interest = $15,000 + $2,925 = $17,925

Therefore, the answer is option C: $17,925.00.

Answer:

1 quart is more.

Step-by-step explanation:

1 quart =4cups so 1 quart is more.

Answer:

1 liquid quart is more then 3 cups because 1 quart is the same as 4 cups and 4 cups is more then 3 cups...

To express a 2% potassium chloride (KCl) solution as a w/v (weight/volume) solution in the form of a fraction, we need to know the weight of KCl in grams and the volume of the solution in milliliters.

Assuming we have 100 mL of the solution, 2% KCl means that there are 2 grams of KCl in 100 mL of solution.

So, the w/v fraction would be:

2 g KCl/100 mL solution

or, simplified:

1/50 (since 2 g is 1/50 of 100 mL)

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