can somebody helppp please, do all the tasks from a and b.

Thank u!!!

in photo. ​

The length of the metal frame that surrounds the trampoline is 37.6 feet.

Option D is the correct answer.

A circle is a two-dimensional figure with a radius and circumference of 2πr.

We have,

Diameter of the metal frame = 12 feet

Radius = 12/2 = 6 feet

Now,

Circumference of the metal frame = 2πr

So,

The length of the metal frame that surrounds the trampoline.

= 2 x π x r

= 2 x 3.14 x 6

= 37.68 feet

= 37.7 feet

Thus,

The length of the metal frame is 37.6 feet.

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The complete questions:

At a school carnival, the diameter of the mat of a trampoline is 10 feet and the diameter of its metal frame is 12 feet. What is the length, in feet, of the metal frame that surrounds the trampoline? Use 3.14 for π and round your answer to the nearest tenth.

15.7 feet

18.9 feet

31.4 feet

37.7 feet

Answer:

49.5

Step-by-step explanation:

11 times 3 is 33 so if you take 33 times 1.5 it is 49.5

Answer:

c 136 degrees

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

Since the statement is true, then XY and ZY are the same length. You can set them to equal each other.

\(XY = ZY\)

\(2x + 3 = 3x - 5\)

\(3 = x - 5\)

\(8 = x\)

\(x = 8\)

Hope this helps!

The position value, r(t) is equals to the (t³/6)k + 2j and velocity value, v(t) is equals to ( t²/2 )k + 4i , for a(t) = tk, v(0) = 4i, r(0) = 2j.

Acceleration is defined as the rate of change of the velocity of an object with respect to time. Accelerations are vector quanty.

a = dv/dt

We have the following informations are available,

Initial velocity, v(0) = 4i

Initial position, r(0) = 2j

Acceleration at any time "t",

a(t) = tk

we have to determine the value of v(t) and r(t).

As we know, a(t) = dv(t)/dt = tk

integrating the above equation ,

v(t) = ∫tk dt = ( t²/2 )k + c

at t = 0 , v(0) = 0 + c = 4i ( since, v(0) = 4i

=> c = 4i

So, v(t) = ( t²/2 )k + 4i

Also, velocity is calculated by derivative of postion (r) with respect to time.

=> v(t) = dr(t) /dt

=> r(t) = ∫ v(t) dt

=> r(t) = ∫ ( t²/2 )k dt

integrating value of the right hand side,

r(t) = ( t³/2×3 )k +d

= (t³/6)k + d

At t = 0, r(0) = (0/6)k + d

=> r(0) = d = 2j

so, r(t) = (t³/6)k + 2j

Hence, the required position and velocity are

(t³/6)k + 2j and ( t²/2 )k + 4i.

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Answer:

Domain is x ∈ R

Step-by-step explanation:

There weren't any options given, but for f(x) = 2x + 15, the domain is x ∈ R.

This is because the graph is a linear function, which exists for all values of x. You can express this in lots of different ways, but R (all reals) is the conventional way to do it.

In case you don't know what a domain is: it is a set of numbers that the x-values of an equation can fit into.

Example:

f(x) = \(x^{2}\) -> x ∈ R

This is because, if you draw a quadratic graph, you can see that the values of x are neverending.

Hope this helped : )

Answer:

5 letters

Step-by-step explanation:

Let x = the number of letters engraved.

For the first store, the cost can be written as (18.50 + 0.15x).

For the second store, the cost can be written as (18 + 0.25x).

For the cost and value of x to be the same, let them equal eachother and evaluate x:

18.5 + 0.15x = 18 + 0.25

0.1x = 0.5

∴x=5

The slope means that the rate of change of height of the unmanned aerial vehicle after it begins its descent from cruising altitude is -0.2 ft/minutes.

The y-intercept means that the height before the descent was; 62 ft

The slope is the change in y-values divided by the corresponding change in x -values. Meanwhile, the y-intercept is the point at which x = 0 or where there graph crosses the y-axis.

In this case, the formula for the slope is;

Slope = (y2 - y1)/(x2 - x1)

Slope = (60 - 62)/(10 - 0)

Slope = -2/10

Slope = -0.2

From the table, the y-intercept is at y = 62

Thus, the slope means that the rate of change of height of the unmanned aerial vehicle after it begins its descent from cruising altitude is -0.2 ft/minutes

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The test statistic is less than - 1.796

Hypothesisi test

H0: μ = 46

Ha: μ < 46

This is a lower tailed test

mean = 42

standard deviation = 11.9

sample size n = 12

The level of significance α = 0.05

degree of freedom df = n - 1 = 12 - 1 = 11

Test statistic = (x - mean)/(standard deviation / √n) = (42 - 46)/(11.9 / √12) = - 1.164

Test statistic = - 1.164

Using t- table, we can observe that the p - value is between 0.10 and 0.15

Using excel we find p - value = P(t < - 1.796)

p value = 0.1344

H0: μ < 46, rejection rule is

Reject H0 if test statistic < - 1. 796

Therefore, we reject the hypothesis as the test statistic is less than - 1.796

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The eccentricity of the conic section below is: A. closer to 0 than 1.

In Euclidean geometry, a conic section can be defined as a curve that is generated as the intersection of the surface of a right circular cone with a plane.

In Mathematics, there are four (4) types of conic section and these include the following with their eccentricity:

In this context, we can reasonably infer and logically deduce that the eccentricity of the conic section is closer to zero (0) than one (1) because it represents a circle.

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The value of 12x is -60, if x = -5.

Given expression is 12x, if x = -5

To solve the expression we have to compute the x value in the given expression:

= 12x

= 12(-5)

Now we have to simplify 12(-5) by multiplying negatives

= -12*5

Multiplying an odd number of negative numbers gives a negative number.

So, Now we have to multiply the constants, that equals to

= -60

Hence the answer is the value of 12x is -60, if x = -5.

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For all invertible n×n matrices a and b, the formula ABA^-1 = B holds, while the formula (I-A)(I+A) = I - A^2 does not hold in general.

The formula ABA^-1 = B holds for all invertible n×n matrices a and b. When we multiply a matrix by its inverse and then multiply the result by the original matrix, the intermediate multiplication by the inverse effectively cancels out the original matrix's effect. Therefore, the resulting matrix is simply the second matrix, b. This property holds true for any invertible matrices a and b, regardless of their size.

On the other hand, the formula (I-A)(I+A) = I - A^2 does not hold in general. Here, I represents the identity matrix. While this formula might hold for specific matrices a, it is not universally valid for all invertible n×n matrices. In general, the product of (I-A)(I+A) will not simplify to I - A^2. The difference between the two sides of the equation is the term A^2, which does not always cancel out in this case. Therefore, we cannot conclude that this formula holds for all invertible n×n matrices a.

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Therefore, The lie factor is a helpful tool to identify misleading graphs, but it should be used alongside critical thinking and contextual understanding.

The lie factor is a measure of how much a graph distorts the data it represents. It is calculated by dividing the size of the effect shown in the graph by the size of the effect in the data. A lie factor of 1 indicates no distortion, while a lie factor greater than 1 indicates distortion. In practice, the concept of a lie factor can be useful to identify misleading graphs that exaggerate or downplay the significance of the data. However, it should be used in conjunction with other critical thinking skills and contextual understanding to fully evaluate the accuracy and relevance of a graph's message.

Therefore, The lie factor is a helpful tool to identify misleading graphs, but it should be used alongside critical thinking and contextual understanding.

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Answer:

Set your calculator to degree mode.

Using the Law of Sines:

7/sin(40°) = x/sin(81°)

x = 7sin(81°)/sin(40°) = 10.8

Answer:

10.8=x

Step-by-step explanation:

Using the Law of Sines, we can put together the fact that

\(\frac{sin A}{a} =\frac{sinB}{b}\)

Substitute our given values from the triangle:

\(\frac{sin 81}{x} =\frac{sin40}{7}\)

Turn the sines into a decimal:

\(\frac{0.9876}{x} =\frac{0.6427}{7}\\\)

cross multiply using butterfly method

0.988·7=0.643x

solve for x

6.916=0.643x

divide both sides by 0.643

10.8=x (round to nearest tenth)

Hope this helps! :)

Answer:

255

Step-by-step explanation:

If 422 guests were at a hotel and 170 ordered food, The percentage of food would clearly be 255.

The range is calculated when we subtract the lowest value from the highest value.

Range is defined as a difference between the lowest and highest values. In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9, so the range is 9 − 3 = 6.

Range can also refer to a function's entire set of output values.

When a function is applied to its entire set of outputs, its range is the set of outputs it produces.

The full set of all potential values that can be obtained for the dependent variable is the range of a function.

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Answer:

3.5

Step-by-step explanation:

7/3= 3.5 or 3 1/2

We have a point C that is dilated with a scale factor of 1/5 centered in the origin.

A dilation centered in the origin with scale factor of 1/5 is:

For C=(10,15), we have:

Answer: C' = (2, 3)

Solution:

Given that;

The price of a house decreased from $400, 000 to $300, 000 in one year

The difference is

The percentage decrease will be

Hence, the percentage decrease is 25%

Answer:

A. = 60074.6 (The 6 is repeating forever)

Step-by-step explanation:

May I have brainliest please? :)

There are 19 students on the bus total of $1668 was collected from 70 passengers

Let x be the number of students on the bus.

Then, the number of adults is 70 - x.

We know that the bus fare for each adult is $26 and the fare for each student is $18, thus we can write the equation:

18x + 26(70 - x) = 1668

Simplifying the above equation, we get:18x + 1820 - 26x = 1668-8x = -152x = 19

Therefore, the number of students on the bus is x = 19.

Therefore, there are 19 students on the bus.

To summarize, we used the equation 18x + 26(70 - x) = 1668 to solve the problem.

This is because we needed to determine the number of students on the bus given that the total fare collected from 70 passengers was $1668.

Therefore, the required answer is there are 19 students on the bus.

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The sum of forecast errors is also known as total forecast error. Therefore, the correct answer is option A, which is "2."

The absolute error of the given data is calculated by subtracting the actual value from the forecasted value, followed by the absolute value.

The errors are then summed up to get the mean absolute deviation. The value used for ||18−20|| in the calculation of MAD and summing up the forecast errors is 2.

Therefore, the correct answer is option A, which is "2."Formula for calculating MAD:MAD = Σ ( | A_i - F_i | ) / n

Where: MAD is the mean absolute deviation|A_i - F_i| represents the absolute error between the actual value (A) and the forecasted value (F)n is the total number of observations, Sum of forecast errors:Σ ( A_i - F_i )Where: A_i is the actual valueF_i is the forecasted value

The sum of forecast errors is also known as total forecast error.

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Answer:

cost per serving can be used as a result of using your head to think

Answer:

\( - \frac{58}{20} < - \sqrt{8} < \frac{17}{22} < 0.78\)

Step-by-step explanation:

There you go, have a good day

Answer:

9. a = -7

10. x = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define equation

a + 6a - 14 = 3a + 6a

Step 2: Solve for a

Step 3: Check

Plug in a into the original equation to verify it's a solution.

Here we see that -63 is equal to -63.

∴ a = -7 is a solution of the equation.

Step 4: Define equation

-12 - 4x = 8x + 4(1 - 7x)

Step 5: Solve for x

Step 6: Check

Plug in x into the original equation to verify it's a solution.

Here we see that -16 does indeed equal -16.

∴ x = 1 is a solution of the equation.

Answer:

Step-by-step explanation:

No, this is not correct.

Step 1: Find the directional distance from every vertex on the blue image to  the center, Point C.

Point A is 1 unit left and 4 units upwards to Point C.

Point B is 4 units right and 5 units upwards to Point C.

Point C is the center of the dilation, so that point will not change.

Step 2: Apply the scale factor to the directional distances to know the distances of the new images.

The scale factor is 2 so

Point A' should be 2 units left and 8 units upwards to Point C.

Point B' should 8 units right and 10 units upwards to Point C.

Step 3:  Move the point in respect to Point C.

The new image should have the these points.

One point that is 2 units left and 8 units upwards to Point C.

Another point that is Point B' should 8 units right and 10 units upwards to Point C.

One point that coincides  with  Point C.

There are four 1/4’s per hour

Multiply the miles by 4:

15 3/4 x 4 = 63 miles per hour