Help please! See attached photo

x = ___​

Answer:

you spend 1 1/2 hours on base running.

Step-by-step-  

Every 1.5 hours you spend 1/4 an hour on base running.

6/1.5=6

6x1/4= 1.5

The cone is defined as the pyramid which has a circular cross section. So the cones are also called circular cones. Here the volume of cone is  83.56 cm³.

A cone has a three dimensional geometry which narrows smoothly from a flat base to a point called the apex or vertex. The formula used to calculate the curved surface area and total surface area is called the cone formula.

πr ( r+l) = 130.73

3.14 ×4 (4+l) =  130.73

4+l = 130.73 / 12.56

4+l = 10.40

l = 6.4 cm

r² + h² = l²

4²+ h² = 6.4 ²

h² = 24.96

h = 4.99 cm

Volume = 1 /3 Πr²h

1/3× 3.14 × 4×4× 4.99

V = 83.56 cm³

Thus the volume of cone is 83.56 cm³.

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\(\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] ~\dotfill\\\\ \log(49)=y\implies \log_{10}(49)=y\implies 1.690196\approx y \\\\\\ \log_{10}(49)\approx 1.690196\implies \stackrel{\textit{then we can say}}{10^{1.690196}\approx 49}\)

The alternative and hull hypotheses is H₀: P=0.03, H₁: P≠0.03.

Given that,

According to a representative of the Ohio Department of Education, 3% of graduating high school seniors in Ohio have dropped out in recent years. Out of the 600 pupils enrolled, 30 students from Podunk High School dropped out of school last year.

We have to find is there enough data to say that this school's dropout rate is higher than the state average. Using symbols and words, state the alternative and hull hypotheses.

We know that,

n is 600,

3% Ohio high school seniors dropout.

30 dropout out of 600 in Podunk high school.

Here,

H₀: μ₁=μ₂  vs   H₁:μ₁≠μ₂

In coordinates,

H₀⇒ dropout number is equal for both schools.

H₁⇒ dropout number not equal for both schools.

H₀: P=0.03, H₁: P≠0.03.

Therefore, The alternative and hull hypotheses is H₀: P=0.03, H₁: P≠0.03.

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Answer:

break it down by using pmedas

Answer:

60

Step-by-step explanation:

The two angles ∠3 and ∠6 are equal. The correct option is B.

The lines are the collection of collinear points arranged in a straight path. Types of lines can be a ray, segment, etc. The angle is the space between the two intersecting lines calculated in degrees.

In the given diagram, line t is a transversal that cuts parallel lines a and b, forming 8 angles numbered from 1 to 8. We can use the properties of parallel lines and transversals to determine which equation is necessarily true.

By the alternate interior angles theorem, we know that angles 3 and 6 are congruent, and angles 4 and 5 are also congruent. Therefore, we can eliminate options A and C.

Next, we notice that angles 6 and 7 form a linear pair, meaning they are adjacent angles that add up to 180 degrees. Therefore, option D is also incorrect.

The correct answer is option B, m∠3 = m∠6. This is because angles 3 and 6 are corresponding angles, and corresponding angles that are formed by a transversal cutting of two parallel lines are always congruent. Therefore, m∠3 = m∠6 is necessarily true.

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Answer:

I believe the slope is m = 0.

(Let me know if you need the work)

Hello!

To find the slope, we use the following formula:

m=\(\frac{y2-y1}{x2-x1} \\\frac{4-4}{7-5}\)

m=\(\frac{0}{2} \\0\)

Keep in mind that if the y-coordinates are the same, then the slope is 0.

That's because if the y-coordinates are the same, then the line is horizontal and the rise  (how many units we rise up) is 0 units.

Therefore, the slope is: 0.

Hope this helps you!

~Just a felicitous girlie

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\(SilentNature :-):-):-):-):-)\)

Answer:

(x - 5)^2 = 39

Step-by-step explanation:

If we open the expression

(x - 5)^2 it'd be x^2 - 10x + 25 = 39

Then we subtract 25 from both sides of the equation

x^2 - 10x + 25 = 39

x^2 - 10x + 25 - 25 = 39 - 25

x^2 - 10x = 14

Distance formula:

where (x1, y1) and (x2, y2) are the points of interest. Replacing with R(0, 1) and S(6, 3.5):

Answer:

Step-by-step explanation:

Answer: 9 degrees Celsius, 0 degrees Celsius, -4 degrees Celsius, -12 degrees Celsius

Step-by-step explanation:

Greatest is from Highest to lowest so from 9,0-4,-12 is the correct order

If many random samples of this size were taken and intervals constructed, 90% of them would contain the true population mean. In repeated sampling, about 90% of the constructed confidence intervals will capture the true population mean difference. The correct answer is C.

When we construct a confidence interval, it is important to understand its interpretation. In this case, the correct answer (Oc) states that if we were to take many random samples of the same size and construct confidence intervals for each sample, approximately 90% of these intervals would contain the true population mean difference.

This interpretation is based on the concept of sampling variability. Due to random sampling, different samples from the same population will yield slightly different sample means.

The confidence interval accounts for this variability by providing a range of values within which we can reasonably expect the true population mean difference to fall a certain percentage of the time.

In the given scenario, when constructing a 90% confidence interval for the paired difference, it means that 90% of the intervals we construct from repeated samples will successfully capture the true population mean difference, while 10% of the intervals may not contain the true value.

It's important to note that this interpretation does not imply a probability or chance for an individual interval to capture the true population mean. Once the interval is constructed, it either does or does not contain the true value. The confidence level refers to the long-term behavior of the intervals when repeated sampling is considered.

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Given, the function is f(x,y,z)=5+yxz+g(x,z)Here, we need to find the directional derivative of f at the point (3,0,3) along the direction of the vector (0,4,0) . The directional derivative of f at the point (3,0,3) along the direction of the vector (0,4,0) is 0.

Using the formula of the directional derivative, the directional derivative of f at the point (3,0,3) along the direction of the vector (0,4,0) is given by

(f(x,y,z)) = grad(f(x,y,z)).v

where grad(f(x,y,z)) is the gradient of the function f(x,y,z) and v is the direction vector.

∴ grad(f(x,y,z)) = (fx, fy, fz)

                       = (∂f/∂x, ∂f/∂y, ∂f/∂z)

Hence, fx = ∂f/∂x = 0 + yzg′(x,z)fy

                = ∂f/∂y

                = xz and

fz = ∂f/∂z = yx + g′(x,z)

We need to evaluate the gradient at the point (3,0,3), then

we have:fx(3,0,3) = yzg′(3,3)fy(3,0,3)

                             = 3(0) = 0fz(3,0,3)

                             = 0 + g′(3,3)

                             = g′(3,3)

Therefore, grad(f(x,y,z))(3,0,3) = (0, 0, g′(3,3))Dv(f(x,y,z))(3,0,3)

                                                 = grad(f(x,y,z))(3,0,3)⋅v

where, v = (0,4,0)Thus, Dv(f(x,y,z))(3,0,3) = (0, 0, g′(3,3))⋅(0,4,0)   = 0

The directional derivative of f at the point (3,0,3) along the direction of the vector (0,4,0) is 0.

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Answer:

the 4th option down/second option up

Answer:

the second and fourth options

Step-by-step explanation:

Answer:

same. me too❤

To determine which points are on the line of direct variation through (5, 12), we can use the equation of direct variation, which is given by y = kx, where k is the constant of variation.

Given the point (5, 12), we can substitute these values into the equation and solve for k:

12 = k * 5

k = 12 / 5

k = 2.4

Now, we can check which other points satisfy the equation y = 2.4x:

Checking each point:

(0, 0): 0 = 2.4 * 0 => 0 = 0 (satisfied)

(2.5, 6): 6 ≠ 2.4 * 2.5 => 6 ≠ 6 (not satisfied)

(3, 10): 10 ≠ 2.4 * 3 => 10 ≠ 7.2 (not satisfied)

(7.5, 18): 18 ≠ 2.4 * 7.5 => 18 ≠ 18 (satisfied)

(12.5, 24): 24 ≠ 2.4 * 12.5 => 24 ≠ 30 (not satisfied)

(15, 36): 36 ≠ 2.4 * 15 => 36 ≠ 36 (satisfied)

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Answer:

it is

A, B, D, and, F

Step-by-step explanation:

trust me i just did the asigenment

The best classification of the data in the list is quantitative and discrete.

Quantitative data refers to information that can be measured and expressed numerically. This type of data can be further classified as either continuous or discrete. Continuous data can take on any value within a certain range, while discrete data can only take on specific values.

Discrete data is a type of quantitative data that can only take on certain values. These values are typically integers or whole numbers, and there are no values in between. For example, the number of children in a family is discrete data, as it can only take on whole number values (1, 2, 3, etc.).

In summary, discrete data is a type of quantitative data that is characterized by its ability to only take on specific values, with no values in between.

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Answer:

35=3J-1

Step-by-step explanation:

Yes.

Btw J=12

Answer:

it is Isoscales triangle

Step-by-step explanation:

it is Isoscales triangle because Isoscales triangle is the triangle having atheist two sides or angle equal and in that question there is two 75

\( \huge\sf \pink{A} \sf \red{n} \sf \orange{s} \sf \blue{w} \sf \green{e} \sf \purple{r}\)

It is an isosceles triangle.

\( \huge\sf \pink{R} \sf \red{e} \sf \orange{a} \sf \blue{s} \sf \green{o} \sf \purple{n}\)

Because it's 2 of sides are equal and one is different.

\( \huge\sf \pink{V} \sf \red{e} \sf \orange{r} \sf \blue{i} \sf \green{f} \sf \purple{i} \sf \red{c} \sf \pink{a} \sf \blue{t} \sf \green{i} \sf \purple{o} \sf \orange{n}\)

A triangle with two sides equal is known as isosceles triangle.

This triangle have two sides with equal length.

The speed of the tip of the blade is approximately 1.05 meters per second.

To find the speed of the tip of a blade, we need to use the formula:

Speed = (2 * π * radius * revolutions) / time

a) For a blade that does 45 revolutions per minute and has a length (radius) of 4 feet:

1. Convert the length from feet to inches: 4 feet = 4 * 12 inches = 48 inches.
2. Convert the time from minutes to seconds: 45 revolutions per minute = 45 / 60 revolutions per second = 0.75 revolutions per second.
3. Substitute the values into the formula:

  Speed = (2 * π * 48 inches * 0.75 revolutions) / 60 seconds
 
  Simplifying, we get:
 
  Speed ≈ 3.14 * 48 inches * 0.75 revolutions / 60 seconds
        ≈ 3.14 * 48 inches * 0.0125 revolutions / 1 second
        ≈ 1.88 inches/second

Therefore, the speed of the tip of the blade is approximately 1.88 inches per second.

b) For a blade that does one revolution every 4.3 seconds and has a length (radius) of 2 inches:

1. Convert the length from inches to feet: 2 inches = 2 / 12 feet = 1/6 feet.
2. Substitute the values into the formula:

  Speed = (2 * π * 1/6 feet * 1 revolution) / 4.3 seconds
 
  Simplifying, we get:
 
  Speed = (2 * π * 1/6 feet) / 4.3 seconds
        ≈ 0.1 * π feet / 4.3 seconds
        ≈ 0.0233 feet/second

Therefore, the speed of the tip of the blade is approximately 0.0233 feet per second.

c) For a blade that rotates 65° in one second and has a length (radius) of 31 cm:

1. Convert the length from centimeters to meters: 31 cm = 31 / 100 meters = 0.31 meters.
2. Substitute the values into the formula:

  Speed = (2 * π * 0.31 meters * 65°) / 1 second
 
  Simplifying, we get:
 
  Speed = (2 * π * 0.31 meters * 65°) / 1 second
        ≈ 0.62 * π * 65° meters / 1 second
        ≈ 0.333 * π meters/second
        ≈ 1.05 meters/second

Therefore, the speed of the tip of the blade is approximately 1.05 meters per second.

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Answer:

1,2,3,

Step-by-step explanation:

Answer:

2.60

Step-by-step explanation:

z-score is the difference between the score and mean, divided by the standard deviation.

\(z = \frac{x - \mu}{\sigma}\)

\(z = \frac{91-77.5}{5.2} = \frac{13.5}{5.2} \approx 2.596\)

So 2.6 is an answer close enough.

Answer:

56

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

A=hb/2

b = 20

h=45

The approximate volume of the remaining solid is 77.43 cubic inches

The volume of the rectangular prism is given by

V_rectangular_prism = base_area x height

where the base area is the area of a square with side length 4 inches

base_area = 4 x 4 = 16 square inches

So, the volume of the rectangular prism is

V_rectangular_prism = 16 x 6 = 96 cubic inches

The volume of the cylinder is given by

V_cylinder = π x r^2 x h

where r is the radius of the cylinder (1 inch) and h is the height of the rectangular prism (6 inches). So, the volume of the cylinder is

V_cylinder = π x 1^2 x 6 = 6π cubic inches

To find the volume of the remaining solid, we need to subtract the volume of the cylinder from the volume of the rectangular prism

V_remaining = V_rectangular_prism - V_cylinder

V_remaining = 96 - 6π ≈ 77.43 cubic inches

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The given question is incomplete, the complete question is:

A solid metal prism has a square base with sides of 4 inches, and a height of 6 inches. A hole in the shape of a cylinder, with a radius of 1 inch, is drilled through the entire length of the rectangular prism. What is the approximate volume of the remaining solid, in cubic inches?

Answer:

In-33

out-58

rule, subtract 4

95% of all scores in a standard normal distribution of a sample lie between z-scores of -1.96 and 1.96.

In a normal distribution, there is an essential role played by the z-score, which is a statistical measurement used to standardize the distribution.

A standard normal distribution is a distribution where the mean is zero and the standard deviation is one. The standard deviation and mean of the data set help in calculating z-scores, which correspond to the distance of a value from the mean in standard deviation units.

The z-score gives an idea of the position of a data point in relation to the rest of the data set. The z-score formula is given by: z=(x-μ)/σ

where x is the raw score, μ is the population mean, and σ is the population standard deviation.

In conclusion, 95% of all scores in a standard normal distribution of a sample lie between z-scores of -1.96 and 1.96.

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The 4th term in the expansion of $(2r - 7)^5$ is $-123480$.

Expansion refers to the process of writing a mathematical expression in a more detailed and expanded form. One common type of expansion is a polynomial expansion, where a polynomial expression is written as a sum of terms, each term consisting of a coefficient multiplied by a variable raised to a power.

The general term in the expansion of $(2r - 7)^5$ is given by:

$T_r = \binom{5}{r}(2r)^{5-r}(-7)^r$

To find the 4th term, we need to substitute $r=3$:

$T_3 = \binom{5}{3}(2\cdot3)^{5-3}(-7)^3$

Simplifying:

$T_3 = \binom{5}{3}(2\cdot3)^2(-343)$

$T_3 = 10 \cdot 36 \cdot (-343)$

$T_3 = -123480$

Therefore, the 4th term in the expansion of $(2r - 7)^5$ is $-123480$.

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