Determine the type of variable in the following statement. The time required for a student to complete a quiz. This is a discrete quantitative variable. This is a continuous quantitative variable. This is a discrete qualitative variable. This is a continuous qualitative variable.

Answer:

\(m=-\frac{3}{2}\)

Step-by-step explanation:

First, look at the graph and pick out two points that we can use for the slope equation. I see (0,2) and (-2,5) as two possibilities. Now, we just plug them into the slope equation. Remember that the slope equation is

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

(the '2' and '1' are subscripts, not exponents)

Let's call our first point (0,2) x1 and y1. (-2,5) can be the second point.

If we plug this into the equation:

\(m=\frac{5-2}{-2-0}\)

Now we just simplify and get

\(m=\frac{3}{-2}\)

Our slope is \(-\frac{3}{2}\).

I hope this helps!

Answer:

\(y=\frac{-1}{2}x +\frac{5}{2}\)

Step-by-step explanation:

Slope intercept form looks like y=mx+b

The slope (m) needs to be the opposite reciprocal of 2, because the line needs to be perpendicular the given line. Therefore, m = -1/2

We can write the equation in point-slope form first because we're given a point and now we have the slope. The equation would be \(y-0=\frac{-1}{2} (x-5)\)

Rewriting, we get \(y=\frac{-1}{2}x +\frac{5}{2}\)

The solution to the given differential equation is y = C. The initial condition y(2) = π gives the particular solution y = π.

Given the differential equation, tan y + (xsec²y + cos y)y' = 0

Let us check the exactness of the given equation,

M = tan y and N = xsec²y + cos y

We have to find ∂M/∂y and ∂N/∂x.

∂M/∂y = sec²y∂

N/∂x = sec²y

Both are equal so given differential equation is exact. Now, we find the integrating factor,

I.F = e∫P dx

I.F = e∫(∂M/∂y - ∂N/∂x) dx

I.F = e∫(sec²y - sec²y) dx

I.F = 1

So, the solution to the given differential equation is y = C, where C is an arbitrary constant.

Solving the IVP:

y(2) = π.

The solution to the given differential equation is y = C, where C is an arbitrary constant.y = Cπ = Cy = π

Thus, the solution to the given differential equation with the initial condition is y = π.

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Answer:13.8 is the best answer i could get

Step-by-step explanation:1,077 multiply that × 13.8 =14,862

Answer:

C. I and II

Step-by-step explanation:

In q1, all trig functions are positive. q2, sin and csc is positve. hope this helps!!

The volume of the base of the pot is = 1437.33 cubic inches

Each three-dimensional object takes up some space. The volume of this area is being measured.

The volume of an object is the space occupied within its borders in three dimensions.

It is also known as the object's capacity.

The volume of a sphere is V = 4/3 π r³

Where V is the volume and r is the radius. A sphere's radius is equal to half its diameter.

A cylinder's volume is π r² h. Where r is the radius and height is h.

volume of a pot is = πr²h + 2πr³

According to the question, where the radius of the sphere is r = 7 inches

The volume of the base of the pot = volume of a sphere

\(volume of base of the pot = \frac{4}{3} \pi r^{3}\\= \frac{4}{3}\frac{22}{7} 7^{3} \\= \frac{4}{3}\frac{22}{7}343 \\=\frac{4312}{3}\\=1437.33 cubic inches\)

Hence, The volume of the base of the pot is = 1437.33 cubic inches.

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Answer: 110 degrees

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees, so the third angle is 180-40-30=110 degrees.

Answer:

18

Step-by-step explanation:

Explanation is in photo

Answer:

\(\mathsf{\dfrac12(7 \ ft)(4 \ ft)}\)

Step-by-step explanation:

Area of a triangle = 1/2 x base x height

⇒ area of triangle = 1/2 x 7 x 4

Therefore, Dena is correct

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Another method would be to calculate the area of the larger triangle (with base 7 ft + 3 ft) and then subtract the area of the smaller right triangle (with base 3ft), but this will give you the same answer:

area = [1/2 x (7 + 3) x 4] - [1/2 x 3 x 4) = 1/2 x 7 x 4

Using cross-multiplication we know that the team played 20 total matches.

One might cross-multiply an equation between two fractions or rational expressions in mathematics, more specifically in elementary arithmetic and elementary algebra, to make the equation simpler or to find the value of a variable.

To cross multiply them, simply multiply the denominator of the first fraction by the numerator of the second, then record the result.

You next multiply the number in the denominator of your first fraction by the numerator of the second fraction, and you record the result.

So, now we know that:

17 wins are 85% of the match.

Let the remaining matches be x and the percentage would be:

100 - 85 = 15%

Now, write as follows:

17/85 = x/15

Perform cross-multiplication:

17/85 = x/15

85x = 17*15

x = 17*15/85

x = 255/85

x = 3

Then, the rest 15% of matches were 3 matches.

Total matches would be: 17 + 3 = 20

Therefore, using cross-multiplication we know that the team played 20 total matches.

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Step-by-step explanation:

2pir/2 + 2 + 2(14) + 2piR/2

= pir + 2 + 28 + piR

r = [(5+5)-2]/2

r = 4

Perimeter = 3.14(4) + 30 +3.14(5)

= ........... meters

The statement "Quadrilaterals A and B are both squares" does not provide enough information to determine whether A and B are scale copies of one another.

To determine if two quadrilaterals are scale copies of each other, we need to compare their corresponding sides and angles. If the corresponding sides of two quadrilaterals are proportional and their corresponding angles are congruent, then they are scale copies of each other.

In this case, since both A and B are squares, we know that all of their angles are right angles (90 degrees). However, we do not have any information about the lengths of their sides. Without knowing the lengths of the sides of A and B, we cannot determine if they are scale copies of each other.

Therefore, the statement cannot be determined as true or false based on the given information.

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When the spring is stretched and the distance from point a to point b is 5.3 feet, the value of θ is 53.13  degrees

The distance between point a to point b = 5.3 feet

The length of the top side = 3 feet

Therefore, it will form a right triangle

Here we have to use trigonometric function

Here adjacent side and the hypotenuse of the triangle is given

The trigonometric function that suitable for the given conditions is

cos θ = Adjacent side / Hypotenuse

Substitute the values in the equation

cos θ = 3 / 5

θ = cos^-1(3 / 5)

θ = cos^-1(0.6)

θ = 53.13 degrees

Therefore, the value of θ is 53.13  degrees

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Answer: 55t

Step-by-step explanation:

The time taken by the car to stop is 1.28 seconds.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

Given that a car is travelling at 45 miles per hour. Once the car starts to brake, its speed (s) is related to the number of seconds (t) it spends braking according to the formula shown below. s=10t+45.

The formula to calculate the speed is written as,

V = s / t

Here s = 10t + 45 substitutes the value in the formula and calculate the time,

45 = ( 10t + 45 ) / t

45t = 10t + 45

35t = 45

t = 45 / 35

t = 1.28 seconds

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Here is the proof:

1. Length AB = Length DC

2. Angle BAC = Angle ACD (AB is parallel to CD, so the opposite interior angles are equal)

3. AC length = AC length (2 lines coincide)

Principle of Side - Angle - Side

then the two triangles are said to be congruent

So Length BC = Length DA

Congruence is a condition where two flat shapes have the same size and are said to be congruent.

The characteristics of two triangles that are said to be congruent are:

1. When the pairs of corresponding sides are equal in length. Usually called the side-by-side criterion.

2. Two pairs of corresponding sides are equal in length and the angles between them are equal. Commonly referred to as the side-angle-side criterion.

3. Two pairs of congruent angles and the same side lengths. Also known as angle-side-angle

There is exactly one more real solution or there is exactly one more complex solution

Given,

One solution to a quadratic equation is x = -5/3

We have to find the correct statements from the given ones;

A polynomial of degree two is a quadratic equation.

This implies that a polynomial has two solutions.

We already have an answer to the query, which is a true root.

Then, the additional response that we lack can appear in the form of two responses.

It may be a real root or a complicated root, depending on the situation.

The following is the response to this query:

There is exactly one more real solution or there is exactly one more complex solution

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The Euler's Formula is given to be:

where F is the number of faces, V is the number of vertices, and E is the number of edges.

From the question, we have the following parameters:

Therefore, the number of faces can be calculated as shown below:

The polyhedron has 12 faces.

Answer: the ANSWER IS 11 sqt

Step-by-step explanation:

Factor 1331 into its prime factors

          1331 = 113

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

Factors which will be extracted are :

          121 = 112

Factors which will remain inside the root are :

          11 = 11

To complete the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :

          11 = 11

The simplified SQRT looks like this:

        11 • sqrt (11)  

Simplified Root :

11 • sqrt(11)

The relative frequency distribution of the values of the mean of these 15,504 different samples would specify the sampling distribution of the mean.

The sampling distribution of the mean refers to the distribution of sample means obtained from repeated sampling from the same population.

In this case, we have 15,504 different samples of size 5 drawn from a population of 20 hospitals.

Each sample has its own sample mean. The relative frequency distribution of these sample means would specify the sampling distribution of the mean.

The sampling distribution of the mean is important in statistics because it allows us to make inferences about the population mean based on the distribution of sample means.

It helps us understand the variability of sample means and provides a basis for constructing confidence intervals and conducting hypothesis tests.

Therefore, the relative frequency distribution of the mean values from the different samples would describe the characteristics of the sampling distribution of the mean..

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Answer:

3/2

Step-by-step explanation:

\(2-\frac{2}{3} +\frac{2}{9} -\frac{2}{27} +...\\r=\frac{-\frac{2}{3} }{2} =-\frac{1}{3} ,|r|<1\\s_{\infty}=\frac{a}{1-r} \\=\frac{2}{1+\frac{1}{3} } \\=\frac{2}{\frac{4}{3} }\\ =\frac{3}{2}\)

Answer:

40

Step-by-step explanation:

56/7 = 8,

5 x 8 = 40, therefore

5:7 x 8:8 = 40:56

Therefore there are 40 white horses

Answer:

35

I hope this helps bro

- Alie♥

Same measure as angle z.

So angle x is 105.

Answer:

x=-400

x=-95

Step-by-step explanation:

They are negative because a negative times a negative is a positive.

Answer:

1. Equation: x/-9=-16

solution: x=144

2. Equation:15*x=-75

solution: x=-5

3.Equation:0.75n=36

solution: n=48

Step-by-step explanation:

The radius of the circle is approximately 10.17 units (rounded to two decimal places).

To find the radius of the circle, we need to use the formula that relates the central angle to the length of the arc and the radius of the circle. The formula is given as:

arc length = radius x central angle

In this case, the arc length is given as 24.4 and the central angle is given as 2.4 radians. Substituting these values in the formula, we get:

24.4 = r x 2.4

Solving for r, we get:

r = 24.4 / 2.4

r ≈ 10.17

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Answer:

B

Step-by-step explanation:

I just did the problem as homework

Answer:

g(y) = 1/3y + 5/3

Step-by-step Explanation:

We know that f(x) is synonymous with y so we can rewrite f(x) as y = 3x -5

To find the inverse of the function, we can switch y with x and x with y:

x = 3y - 5

Now we can isolate y to find the inverse of f(x):

(x = 3y - 5) + 5

(x + 5 = 3y) / 3

x/3 + 5/3 = y

1/3x + 5/3 = y

Thus, the inverse of f(x) is f^-1(x) = 1/3x + 5/3.  Since we want to write the inverse in terms of y, we get g(y) = 1/3y + 5/3.

If this answer doesn't match your answer choices (some of the answer choices you provided are unclear), please attach a pic and I can help you figure out which answer choice is correct)

Answer:

s = 3.75

Step-by-step explanation:

Let b = price of a burger

Let s = price of a side item

2b+s = 14.75

3b+2s = 24

Multiply the first equation by -2

-4b-2s =-29.50

Add to the second equation to eliminate s

-4b-2s =-29.50

3b+2s = 24

---------------------

-b = -5.50

Multiply by -1

b = 5.50

Now find s

2b+s = 14.75

2*5.50 +s =14.75

11 + s = 14.75

Subtract 11 from each side

s = 14.75 -11

s = 3.75

Answer: 5/8 of the project is done

Three ounces is equal to 85.064 grams.

To determine what three ounces looks like, it would be helpful to compare this weight to the weight of common objects. A cupped hand would typically hold three to four ounces of liquid, so three ounces would fit in a cupped hand. A deck of cards typically weighs around two ounces, so three ounces would be slightly more than a deck of cards. A baseball weighs approximately five ounces, so three ounces would be less than half of a baseball. A tennis ball weighs around two ounces, so three ounces would be slightly more than a tennis ball. A fist is typically filled with one to two ounces, so three ounces would be significantly more than a fist.

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