Using v= u + at, find v, when u = 12, a = 5 and t = 7

Answer: He has 7 at the moment, technically, if he still has the bag, he still has all 36

Step-by-step explanation:

Answer:

he has noob 7

Step-by-step explanation:

The surface area of the cylinder is 408 square meters.

What is a cylinder?

In mathematics, a cylinder is a three-dimensional solid that maintains two parallel bases divided by a curved surface at a specific distance. The bases frequently have circular shapes, and an axis connects the centres of each base.

We know that surface area of a cylinder is given by the formula

Area (A) = 2πrh + 2πr²

We are given that the radius (r) is 5 meters and the height (h) is 8 meters.

So, on substituting the values, we get

⇒ Area of cylinder = (2 * 3.14 * 5 * 8) + (2 * 3.14 * 5 * 5)

⇒ Area of cylinder = 251.2 + 157

⇒ Area of cylinder = 408.2 square meters

⇒ Area of cylinder = 408 square meters

Hence, the surface area of the cylinder is 408 square meters.

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Answer:

\(2 \frac{1}{4}\)

Step-by-step explanation:

Okay, so- The first thing I did was see how much they got done per hour. Like this:

Sally  ⇒

3 hours = 1 room

1 hour = 1/3 of the room

Steve ⇒

9 hours = 1 room

1 hour = 1/9 of the room

Sally + Steve ⇒

1 hour = 1/3 + 1/9 = 3/9 + 1/9 = 4/9

So, they get 4/9 of a room done in 1 hour.

Number of hours needed ⇒

1 ÷ 4/9 = 2 1/4  

Answer: They need 2 1/4 hours to paint the room.

The plot of the residuals to the area indicates that the graph that corresponds to the residuals is the second option.

Please find attached the graph of the residual plot for the data created with MS Excel

A residual plot is a tool used for assessment of statistical models, to determine how fit the model is to the data. A residual plot is a plot of the residuals to the input or x-values of the data.

The trend line for the data in the question obtained using MS Excel indicates that we get; y = 0.1128·x + 3.6158

The residuals, which is the difference between the actual values and the calculated value obtained using MS Excel are;

Area (in²)    \({}\)              Residuals

x-value

5 \({}\)                             -1.0178

10 \({}\)                           -0.2718

24 \({}\)                           0.605

46 \({}\)                           0.7874

53 \({}\)                           0.7018

78 \({}\)                           0.0758

84 \({}\)                           -0.129

100 \({}\)                         -0.7538

The above values for the areas and the residuals indicates that the residual plot is n shaped, with the first two values being below the x-axis, which corresponds to the second option

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The row operation on the matrix \(\left[\begin{array}{ccc|c}2&0&0&16\\0&8&0&3\\0&0&5&6\end{array}\right]\) is \(\left[\begin{array}{ccc|c}1&0&0&8\\0&8&0&3\\0&0&5&6\end{array}\right]\)

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

\(\left[\begin{array}{ccc|c}2&0&0&16\\0&8&0&3\\0&0&5&6\end{array}\right]\)

The row operation is given as

1/2R₁

This means that we divide the entries on the first row by 2

Using the above as a guide, we have the following:

\(\left[\begin{array}{ccc|c}2&0&0&16\\0&8&0&3\\0&0&5&6\end{array}\right] = \left[\begin{array}{ccc|c}1&0&0&8\\0&8&0&3\\0&0&5&6\end{array}\right]\)

Hence, the row operation on the matrix is \(\left[\begin{array}{ccc|c}2&0&0&16\\0&8&0&3\\0&0&5&6\end{array}\right] = \left[\begin{array}{ccc|c}1&0&0&8\\0&8&0&3\\0&0&5&6\end{array}\right]\)

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The inequality is X > 0 and a word sentence represent the graph is  X  the graph of a number line with an open circle on zero and an arrow pointing to the right.

The inequality X > 0 represents the graph of a number line with an open circle on zero to left and an arrow pointing to the right. This means that any value of X that is greater than zero is a valid solution for the inequality.

In other words, X can be any positive number, such as 1, 2, 3, and so on. However, X cannot be zero or any negative number, as those values do not satisfy the inequality. Therefore, the word sentence that represents this inequality is "X is greater than zero."

This means that X must be a positive number, and it can be any value that is greater than zero.

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Combining like terms yields 7x⁵ - x³ - x² + 4x.

Answer:

Therefore, the correct statements are A, B, and E.

Explanation:

Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.

To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀

.

- The component form of −4⇀

is obtained by multiplying each component of ⇀

by –4. Therefore, −4⇀

= ⟨–8, –12⟩. This means that statement A is true.

- The magnitude of −4⇀

is obtained by multiplying the magnitude of ⇀

by 4. The magnitude of ⇀

is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀

is 4√13. This means that statement B is true.

- The direction of −4⇀

is opposite to the direction of ⇀

because the scalar –4 is negative. This means that statement C is false.

- The vector −4⇀

is in the third quadrant because its components are both negative. This means that statement D is false.

- The direction of −4⇀

is 180° greater than the inverse tangent of its components because it is opposite to ⇀

. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀

is 180° + tan^(-1)(3/2). This means that statement E is true.

Therefore, the correct statements are A, B, and E.

Using the given transformations, namely translation and dilation, the correct statement is given as follows:

Segments YZ and Y''Z'' are proportional after the dilation and congruent after the translation.

The translation rule in this problem is given as follows:

(x, y) -> (x + 1, y - 1).

Meaning that the triangle was shifted:

The only change with the dilation was in the position of the triangle, hence the translated triangle is congruent to the original triangle.

The triangle was dilated by a scale factor of 4, meaning that the coordinates of each vertex of the triangle is multiplied by 4, changing the side lengths of the triangle, thus the dilated triangle is not congruent to the original triangle.

The angles keep the same measure for both cases, translation and dilation, hence the first two statements are incorrect.

The change in the side lengths is proportional, due to the scale factor of 4, hence the correct statement is:

Segments YZ and Y''Z'' are proportional after the dilation and congruent after the translation.

The correct options are missing and are given by the image at the end of the answer.

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Answer:

44°

General Formulas and Concepts:

Pre-Algebra

Geometry

Step-by-step explanation:

Step 1: Set up Equation

136° + x° = 180°

Step 2: Find missing angle

Answer:

1,254 sqaure ft

Step-by-step explanation:

Use the radius of the circle, 202=10, to find the area of the circle: A=πr2=π(10)2=π⋅100≈3.14⋅100=314square meters. The area of the triangle is: A=12b⋅h=12⋅56⋅56=12⋅3,136=1,568 The area of the shaded region equals the area of the triangle minus the area of the circle. This is approximately 1,568-314=1,254 square meters.

The area of the shaded region is 1,254 square ft, consisting of a right triangle with a circle cut out of it.

The area of the circle is equal to the product of the square of the radius of the circle and pi.

A = πr²

where 'r' is the radius of the circle

Use the radius of the circle, 20/2 =10, to find the area of the circle:

A = πr²= π(10)² = π⋅100 ≈ 3.14⋅100 = 314 square meters.

The area of the triangle is:

A=12b⋅h = 12⋅56⋅56 = 12⋅3,136 = 1,568

The area of the shaded region equals the area of the triangle and subtracts the area of the circle.

This is approximately 1,568 - 314 = 1,254 square meters.

Hence, the correct answer would be an option (B).

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Point H is the ortho-center of our given triangle and option c is the correct choice.

We have been given an image of a triangle. We are asked to find the term that describes point H.

We can see that point H is the point, where, all the altitudes of our given triangle EFF are intersecting.

We know that ortho-center of a triangle is the point, where all altitudes of triangle intersect. Therefore, point H is the ortho-center of our given triangle and option c is the correct choice.

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The average rate of change for the interval from x =  7 to x =  8 is 35.  

To calculate the average rate of change for the interval from x =  7 to x =  8, we need to find the difference in y- values and divide it by the difference inx-values within that interval.

Let's calculate it step by step using the given table  

For the interval from x =  7 to x =  8  x1 =  7, y1 = -37  x2 =  8, y2 = -2   Difference in y- values Δy =  y2- y1 = -2-(- 37) =  35  

Difference inx-values Δx =  x2- x1 =  8- 7 =  1  

Average rate of change =  Δy/ Δx =  35/ 1 =  35  

Thus, the average rate of change for the interval from x =  7 to x =  8 is 35.   Note: It's important to mention that the values calculated then are grounded solely on the given data. Please  insure you  corroborate the  delicacy of the  handed data and  environment before using the answer in any important or critical  operations.

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The amount of the first alloy is 450 grams and the amount of the second alloy is 30 grams.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

A chemist has two alloys, one of which is 5% gold and 20% lead and the other which is 30% gold and 50% lead.

Let's suppose the x is the amount of the first alloy and y is the amount of the second alloy:

We can make two linear equation in two variables:

0.05x + 0.3y = 31.5  ...(1)

0.2x + 0.5y = 105  ...(2)

After solving the above two linear equations by substitution method, we get:

x = 450 grams

y = 30 grams

Thus, the amount of the first alloy is 450 grams and the amount of the second alloy is 30 grams.

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Answer: 41

Step-by-step explanation:

I think it’s forty one because each child painted one and there are forty one flower pots. Besides that much information wasn’t given so it is most likely 41 sorry if it wasn’t much help

The input value of (x - 2) into the given quadratic equation f(x) is gotten as; f(x - 2) = 4x² - 22x + 28

We are given the quadratic equation expressed as;

f(x) = 4x² - 6x

Now, we want to find f(x - 2)

What this means is that we will put x - 2 for the value of x in the given quadratic equation to get;

f(x - 2) = 4(x - 2)² - 6(x - 2)

f(x - 2) = 4(x² - 4x + 4) - 6x + 12

f(x - 2) = 4x² - 16x + 16 - 6x + 12

f(x - 2) = 4x² - 22x + 28

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Answer:

f= -14

Step-by-step explanation:

Answer:

f= -14

Step-by-step explanation:

Answer: 16 pounds of grain.

Step-by-step explanation: 36 divided by 9 is 4, which means we have to multiply bin C by how much bin J was multiplied by, which is 4, so 4x4 is 16.

(let me know if you would like me to explain more on this)

Answer:

10. 200 sq.in

11. 56 sq.in

Step-by-step explanation:

10.

area = 16×2 + 12×10 + 1/2 × 8 ×12

= 32+ 120 + 48

= 200

11.

area= 1/2 ×3 × 4+ 1/2×5×4 + 8×5

= 6+ 10 + 40

=56 sq.in

Answer

C. x=2

Step-by-step explanation:

This is due to 2(2) = 4

then 3^4=81

81*4=324

The solution to equation \(324=4(3)^{2x}\) is x = 2.

An exponential function is a mathematical function of the following form:

\(f(x) = a^{x}\). where x is a variable, and a is a constant called the base of the function.

Given exponential equation

\(324=4(3)^{2x}\)

\(4(3)^{2x}=324\)

\(3^{2x} =\frac{324}{4}\)

\(3^{2x}=81\)

\(3^{2x}=3^{4}\)

When bases are equal, power should be equal.

2x = 4

x = 2

Hence, the solution to equation \(324=4(3)^{2x}\) is x = 2.

Option C is correct.

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Answer:

None are solutions

Step-by-step explanation:

To find the answer we need to plug in the values into the equation.

When plugging in 1 we gt 1^2 = 2 and we know 1 is not equal to 2 so we can say 1 isn't a solution. We plug in 1/2 and we get 1/4 which isnt equal to 2. when we plug in 3/2 we get 9/4 which also isn;t equal to 2.And lastly we plug in 7/5 which we get 49/25 which isn't equal to 2.

15 - 3/10 = ?

convert 3/10 to decimal:

So, 3/10 = 0.3

So,

15 - 3/10 = 15 - 0.3 = 15.0 - 0.3 = 14.7

The values of

1. cosθ = √3/2

2. sinθ = √3/2

3. tanθ = 1

4. sec θ = 2/√3

5. cosec θ = 2/√3

6. cot θ = 1

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

cosθ = adj/hyp

sinθ = opp/hyp

tanθ = opp/adj

sec θ = 1/cosθ

cosec θ = 1/sinθ

cot θ = 1/tanθ

We need to find the hypotenuse of the triangle

x² = 3² +3²

x = √9+9

x = √18

x = 2√3

cosθ = 3/2√3 = 6√3/12

= √3/2

2. sinθ = 3/2√3 = √3/2

3. tanθ = 3/3 = 1

4. sec θ = 2/√3

5. cosec θ = 2/√3

6. cot θ = 1

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The straight-line distance between Akira's house and Cooper's house is 6.13 kilometers (rounded to the nearest tenth)

Given that,To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due east.The straight-line distance between Akira's house and Cooper's house is given by the distance between two points in a coordinate plane. Let the home be the origin (0, 0) of the coordinate plane and Akira's house be represented by the point (2.8, 4.7). Similarly, let Cooper's house be represented by the point (8.3, 7.4).The distance formula between the two points (2.8, 4.7) and (8.3, 7.4) is given by:distance = √[(8.3 - 2.8)² + (7.4 - 4.7)²]= √[5.5² + 2.7²]= √(30.25 + 7.29)= √37.54= 6.13 km (rounded to the nearest tenth)

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The rate of the slower car is 77km/hr

Velocity is the rate of change of displacement with time. It is measured in meter per second and it is a vector quantity.

velocity = displacement/time

displacement = velocity × time

represent the faster car by v1 and the slower car by v2

v1 = v2+16

V2 = v1-16

Total displacement = 680km

680 =( v1+V2)t

680 = (v1+V2)4

v1+v2 = 680/4

v2+16+v2 = 170

2v2 = 170-16

2v2 = 154

v2 = 154/2

v2 = 77km/hr

therefore the rate of the slower car is 77km/hr

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For a curve to be a density curve, it must meet certain conditions such as it should be non-negative, and the area under the curve should equal 1. Furthermore, the curve should be continuous and smooth, and there should be no values outside the range of the data.

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Keeping a detailed record of the procedure and results of a scientific experiment

Conducting an experiment to confirm the effects of gravity on Earth

Solving an expression in steps using the order of operations

Answer:

keeping a detailed record of the procedure and results of a scientific experiment

conducting an experiment to confirm the effects of gravity on Earth

solving an expression in steps using the order of operations

Step-by-step explanation: Edu