answer plz i really need it

Answer:

y=-2x-7

Step-by-step explanation:

To find the slope intercept form:

y+mx+b

m is the slope and b is the y-intercept.

We can take the first two points and find the slope by:

\(\frac{y2-y1}{x2-x1}\) ->

\(\frac{-5-3}{-1- - 5}\) = -2.

That’s the slope.

For the y-intercept we solve the equation:

y=−2(−5)+b -> b = -7

now we have the slope and y-intercept so the equation is:

y=-2x-7

Hope that helps!

Answer:

Answer is 4.

x = 4

Step-by-step explanation:

The volume of the fish tank in the shape of a right circular cylinder with a radius of 3 in and a height of 10 in is 90π cubic inches.

Therefore the answer is 90π in³.

Recognize that the fish tank is in the shape of a right circular cylinder.

Remember that the formula for the volume of a cylinder is

V = πr^2h

where r is the radius and h is the height.

Plug in the given values for the radius (r = 3 inches) and the height (h = 10 inches) into the formula.

Perform the calculation:

πr^2h

= π(3^2)(10)

= π×9×10

= 90π cubic inches

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Answer:

\(10j \leqslant 130\)

\(j \leqslant 13\)

We have the following ratio scale:

If we move the DRAWING term to the rght hand side, we get

In our case, the line is 15 inches long, then we have

which gives

Therefore, the answer is 50 inches.

The value of cos θ is equal to 1/3 when sec θ= √6/2.

Since we are given the value of secant of theta, we can use the relationship between secant and cosine to find the value of cosine of theta.

Let's start by recalling the definitions of secant and cosine functions. The secant of an angle is defined as the reciprocal of the cosine of that angle.

In other words, secθ = 1/cosθ

Conversely, the cosine of an angle is defined as the reciprocal of the secant of that angle.

cosθ = 1/secθ

We are given that secθ= √6/2

We can use this value to find cosθ= 1/secθ

cosθ = 1 / (√6/2)

To simplify this expression, we can multiply both the numerator and denominator by 2/sqrt(6).

cosθ = ((2/√6) / (√6/2) * (2/√6))

cosθ = (2/√6) / 1

cosθ = (2/√6 * √6/√6)

cosθ = 2/6 = 1/3

Therefore, the value of cosθ is equal to 1/3 when secθ = sqrt(6)/2.

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Answer:88

Step-by-step explanation:

Divide 66 by 3 (66/3)

Then you should get 22

Multiply 22 by 4 (22 x 4)

Answer: 88

The number that 66 is 3/4 of is 88.

To determine the number that 66 is 3/4 of, we can set up an equation and solve for the unknown number.

Let the unknown number as "x".

According to the given information, we can write the equation:

66 = (3/4)x

To solve for x, we can multiply both sides of the equation by the reciprocal of 3/4, which is 4/3:

66(4/3) = (3/4)  x  (4/3)

88 = x

Therefore, the number that 66 is 3/4 of is 88.

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Answer:

c

Step-by-step explanation:

The solution will be that the home-decorating company will require 42 yards of fabric for the customer's window treatments.

As per the information we have received from the question,

A single window requires 13 yards and a double window requires 16 yards of fabric. We are asked to find out the length of fabric that will be required by the home-decorating company, in case there were 2 single windows and 1 double window. The total amount of fabric that will be required by the home-decorating company is hence equal to

13×(no of single windows)+ 16×(no of double windows)

Here, no of single windows= 2

And, no of double window= 1

Hence, total fabric length=13×2 + 16×1=26 + 16=42 yards

Hence the solution is 42 yards of fabric.

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Answer:

90 days.

Step-by-step explanation:

dy/dt = - 0.0032y

dy = -0.0032y dt

dy/y = -0.0032 dt

Integrating:

ln y = -0.0032t + c     where c is some constant

y = e^(-0032t) + e^c

y = A e^(-0032t)   where A is a constant.

At time 0 we can let y = 1 so in that case A = 1

When there is 0.75 of y left:

0.75 = e^-0032t

ln 0,75 =  -0032 t

t = ln 0.75 / -0032

t = 90.

Answer:

B. 90 days

Step-by-step explanation:

Edge 2022

The acceleration of the particle at \(t = 2\) seconds is \(4\) cm/s².

To find the acceleration of the particle at \(t = 2\) seconds, we need to differentiate the position function twice with respect to time. First, let's differentiate the position function \(s(t)\) once to find the velocity function \(v(t)\). Using the chain rule, we have:

\(\(v(t) = \frac{d}{dt}[(4t+1)^{3/2}]\)\)

To simplify the differentiation, we can rewrite the function as\(\(v(t) = (4t+1)^{3/2}\)\) . Applying the power rule, the derivative becomes:

\(\(v(t) = \frac{3}{2}(4t+1)^{1/2} \cdot 4\)\)

Simplifying further, we have:

\(\(v(t) = 6(4t+1)^{1/2}\)\)

Next, we differentiate the velocity function \(v(t)\) to find the acceleration function \(a(t)\):

\(\(a(t) = \frac{d}{dt}[6(4t+1)^{1/2}]\)\)

Using the power rule again, we get:

\(\(a(t) = 6 \cdot \frac{1}{2}(4t+1)^{-1/2} \cdot 4\)\)

Simplifying further, we have:

\(\(a(t) = 12(4t+1)^{-1/2}\)\)

Now we can find the acceleration at \(t = 2\) seconds by substituting \(t = 2\) into the acceleration function:

\(\(a(2) = 12(4 \cdot 2 + 1)^{-1/2}\)\)

\(\(a(2) = 12(9)^{-1/2}\)\)

Simplifying the expression, we have:

\(\(a(2) = \frac{12}{3} = 4\) cm/s²\)

Therefore, the acceleration of the particle at \(t = 2\) seconds is \(4\) cm/s².

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The correct option is d. 0.0228.  To find the p-value, we first need to calculate the test statistic:

t = (x - μ) / (σ / sqrt(n))

Where x is the sample mean, μ is the hypothesized population mean, σ is the population standard deviation, and n is the sample size.

In this case:

x = 31.1

μ = 32

σ = 2.7

n = 36

So,

t = (31.1 - 32) / (2.7 / sqrt(36)) = -2.53

Next, we need to find the p-value associated with this test statistic using a t-distribution table or calculator with 35 degrees of freedom (df = n-1).

Using a two-tailed test and α = 0.05, the p-value is approximately 0.0228.

Therefore, the correct option is d. 0.0228

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The LHS and RHS of the equation are identical on the basis of ψ, demonstrating that the relationship A ^  = ∑ m ​ ∑ n ​ A m,n ​ ∣ψ m ​ Xψ n ​ ∣ is true.

The equation  A ^  = ∑ m ​ ∑ n ​ A m,n ​ ∣ψ m ​ Xψ n ​ ∣ is explained as below:To show that this equation is true, we have to demonstrate that the LHS and the RHS of the equation are identical on the basis of ψ. This can be shown as follows:A ^ ∣ψ l ​ ⟩ =L⋅H⋅S & (∑ m ​ ∑ n ​ A m,n ​ ∣ψ m ​ χ⟨ψ n ​ ∣) ∣ψ l ​ ⟩= ∑ m,n ​ A m,n ​ ∣ψ m ​ ⟩⟨ψ n ​ ∣ψ l ​ ⟩= ∑ m,n ​ A m,n ​ ∣ψ m ​ ⟩δ nl ​ = ∑ m,n ​ ⟨ψ m ​ ∣ A ^ ∣ψ n ​ ⟩∣ψ m ​ ⟩δ nl ​ . = ∑ m,n ​ ⟨ψ m ​ ∣ψ m ​ ⟩ A ^ ∣ψ n ​ ⟩δ nl ​ = ψ l ​ ⟩= LHS.L.H.S. and R.H.S. are identical on the basis of ψ, and the relationship is true.

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Answer: Your answer would be 152 cm

Step-by-step explanation:

Outer part of the shape:

Length  =  18 cm  

width  =  12 cm

Area of large rectangle  =  (18 ⋅ 12)

=  216 cm2------(1)

Inner part of shape:

Length  =  6 cm

width  =  3 cm

Area of small rectangle  =  (8 ⋅ 8)

=  64 cm2------(2)

(1) – (2)

=  (216 – 164) cm2

=   154 cm2

I hope this helps!

The LU-factorization of matrix A is:

A = LU

To calculate the LU-factorization of matrix A, we need to decompose it into the product of a lower triangular matrix (L) and an upper triangular matrix (U). The LU-factorization of matrix A can be expressed as A = LU.

Let's perform the LU-factorization of the given matrix A:

Step 1: Initialize L as the identity matrix of the same size as A.

\(\begin{bmatrix}1 & 0 & 0 & 0\\0 & 1 & 0 & 0\\0 & 0 & 1 & 0\\0 & 0 & 0 & 1\end{bmatrix}\)

Step 2: Initialize U as a copy of A.

\(\begin{bmatrix}7 & 56 & 7 & 7\\-6 & -49 & -14 & -8\\-8 & -55 & 57 & -39\\6 & 43 & -32 & 6\end{bmatrix}\)

Step 3: Perform the LU-factorization by eliminating the elements below the main diagonal of U.

Row 2:

Multiply row 1 of U by -6 and add it to row 2 of U.

Multiply row 1 of L by -6 and add it to row 2 of L.

Row 3:

Multiply row 1 of U by -8 and add it to row 3 of U.

Multiply row 1 of L by -8 and add it to row 3 of L.

Row 4:

Multiply row 1 of U by 6 and add it to row 4 of U.

Multiply row 1 of L by 6 and add it to row 4 of L.

\(\begin{bmatrix}7 & 56 & 7 & 7\\0 & -343 & -56 & -50\\0 & -475 & 113 & -105\\0 & 259 & -59 & 48\end{bmatrix}\)

\(\begin{bmatrix}1 & 0 & 0 & 0\\-6 & 1 & 0 & 0\\-8 & 0 & 1 & 0\\6 & 0 & 0 & 1\end{bmatrix}\)

Step 4: Perform the LU-factorization by eliminating the elements below the main diagonal of U.

Row 3:

Multiply row 2 of U by (-475 / -343) ≈ 1.384 and add it to row 3 of U.

Multiply row 2 of L by (-475 / -343) ≈ 1.384 and add it to row 3 of L.

Row 4:

Multiply row 2 of U by (259 / -343) ≈ -0.755 and add it to row 4 of U.

Multiply row 2 of L by (259 / -343) ≈ -0.755 and add it to row 4 of L.

\(\begin{bmatrix}7 & 56 & 7 & 7\\0 & -343 & -56 & -50\\0 & 0 & 228.592 & -157.362\\0 & 0 & -133.12 & 90.992\end{bmatrix}\)

\(\begin{bmatrix}1 & 0 & 0 & 0\\-6 & 1 & 0 & 0\\-8 & 1.384 & 1 & 0\\6 & -0.755 & 0 & 1\end{bmatrix}\)

Step 5: Perform the LU-factorization by eliminating the elements below the main diagonal of U.

Row 4:

Multiply row 3 of U by (-133.12 / 228.592) ≈ -0.582 and add it to row 4 of U.

Multiply row 3 of L by (-133.12 / 228.592) ≈ -0.582 and add it to row 4 of L.

\(\begin{bmatrix}7 & 56 & 7 & 7\\0 & -343 & -56 & -50\\0 & 0 & 228.592 & -157.368\\0 & 0 & 0 & 24.532\end{bmatrix}\)

\(\begin{bmatrix}1 & 0 & 0 & 0\\-6 & 1 & 0 & 0\\-8 & 1.384 & 1 & 0\\6 & -0.755 &- 0.582 & 1\end{bmatrix}\)

Step 6: The LU-factorization is complete. L and U matrices are as follows:

\($L=\begin{bmatrix}1 & 0 & 0 & 0\\-6 & 1 & 0 & 0\\-8 & 1.384 & 1 & 0\\6 & -0.755 & -0.582 & 1\end{bmatrix}\)

\(U=\begin{bmatrix}7 & 56 & 7 & 7\\0 & -343 & -56 & -50\\0 & 0 & 228.592 & -157.368\\0 & 0 & 0 & 24.532\end{bmatrix}\)

Therefore, the LU-factorization of matrix A is:

A = LU

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Answer:

250 $3 tickets and 100 $2 tickets were sold.

Answer:

1) 60 students, 120 parents, and 50 general admission

2) there are infinite real solutions

3) (29,2,20)

4) (20,60,32)

Step-by-step explanation:

did the quick check

Answer:

Step-by-step explanation:

Solve by Substitution.

x=3y+1

x=2y-1

Please explain step by step.

I give Brainliest

To find the z-score for a sales associate who earns $37,500, we can use the formula:

z = (x - μ) / σ

Where:

x is the value we want to convert to a z-score (in this case, $37,500),

μ is the mean of the distribution (in this case, $32,500), and

σ is the standard deviation of the distribution (in this case, $2,500).

Substituting the given values into the formula, we have:

z = (37,500 - 32,500) / 2,500

z = 5,000 / 2,500

z = 2

Therefore, the z-score for a sales associate who earns $37,500 is 2.

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The z-score for a sales associate earning $37,500 in a system where the mean salary is $32,500 and the standard deviation is $2,500 has a z-score of 2. This score indicates that the associate's salary is two standard deviations above the mean.

The z-score represents how many standard deviations a value is from the mean. In this case, the value is the salary of a sales associate, the mean is the average salary, and the standard deviation is the average variation in salaries.

We calculate the z-score by subtracting the mean from the value and dividing by the standard deviation, like so:

Z = (Value - Mean) / Standard Deviation

So, the z-score for an associate earning $37,500 would be:

Z = ($37,500 - $32,500) / $2,500

This gives us a z-score of +2, indicating that a salary of $37,500 is two standard deviations above mean.

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Answer:

-45, -2.5, -1.1, 0.8, 95

Answer:

your answer would be -45, -2.5, -1.1, 0.8, 95

Step-by-step explanation:

if you put the listed numbers out on a number line you would start with the negative numbers on the left side going up to the positive numbers on the right side. -45 is the smallest number in this sequence so it will be the first number. then if you go further right on the number line you'll hit -2.5, then -1.1, then 0.8, then 95. these numbers are large so a number line wouldn't be logical but it always helps to visualize it. hope this helps!

Using proportions, it is found that it will take 4 hours for Phoebe to catch Candice.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Given their velocities, and the fact that they travel in the same direction, each hour, Phoebe gets 10 mph closer to Candice.

The initial distance is of 40 miles, 40/10 = 4, hence it will take 4 hours for Phoebe to catch Candice.

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First of all, we will find the direction vectors of the lines L1, L2, and L3. For L1, the direction vector is given by the coefficients of t. So, the direction vector of L1 is d1 = [1, -2, -2].

Similarly, we get the direction vectors for L2 and L3. They are d2 = [2, -4, -4] and d3 = [1, 4, -2].

Distance between L1 and L3To find the distance between the lines L1 and L3, we find the cross product of their direction vectors. So, d1 × d3 = i + 2j - 9k.

Now, we take any point on one of the lines, say L1, and then calculate the vector from that point to the intersection of L1 and L3. This vector is the same as the vector from the point on L1 to the point on L3 that is closest to L1. We get the coordinates of the intersection point by equating the coordinates of L1 and L3. That is, 2 - t = 2 + r, -1 - 2t = -1 + 4r, and 1 - 2t = 1 - 2r. Solving these equations, we get r = (t + 1)/2 and substituting this in the equation for L3, we get the coordinates of the intersection point, which are (2, -1, 1). Therefore, the vector from the point on L1 (2, -1, 1) to the intersection point (2, -1, 1) is given by <0, 0, 0>. Hence, the distance between the lines L1 and L3 is 0.

Distance between L2 and L3

To find the distance between the lines L2 and L3, we first check if they intersect. Equating the coordinates of L2 and L3, we get 2 - 2s = 2 + r, 3 - 4s = -1 + 4r, and -2 - 4s = 1 - 2r. Solving these equations, we get s = (1 - r)/2. Substituting this value of s in the equation for L2, we get x = 0, y = -1 - r, and z = 3 + r. Therefore, the lines L2 and L3 do not intersect. Now, we need to find the distance between them. To do this, we take any point on L2 and calculate the vector from that point to L3. Let P be the point (2, 3, -2) on L2. The vector from P to L3 is given by the cross product of their direction vectors. So, d2 × d3 = 8i + 12j - 12k. Hence, the distance between the lines L2 and L3 is given by the projection of the vector from P to L3 onto d2. This is given by (8i + 12j - 12k)·(2i - 4j - 4k)/√(2² + (-4)² + (-4)²) = -16/6 = -8/3. Therefore, the distance between the lines L2 and L3 is |-8/3| = 8/3.

The lines L1 and L3 intersect at the point (2, -1, 1) and are skew. Hence, their distance is 0. The lines L2 and L3 are skew and do not intersect. Hence, we need to find their distance. We take any point on L2, say (2, 3, -2), and calculate the vector from that point to L3. The distance between the lines is the projection of this vector onto the direction vector of L2.

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A frequency distribution in which there are too many scores at the extremes of the distribution is said to be platykurtic distribution.

What is frequency distribution?

Frequency tables or charts are used to represent frequency distributions.

Frequency distributions can display the proportion of observations or the actual number of observations that fall inside each range. The distribution is known as a relative frequency distribution in the latter case.

We are given a frequency distribution in which there are too many scores at the extremes of the distribution

This distribution is said to be platykurtic distribution because a distribution with a negative excess kurtosis value is referred to as "platykurtic." Since there are fewer extremely positive or negative events, a platykurtic distribution will have thinner tails than a normal distribution.

Hence, this type of distribution is said to be platykurtic distribution.

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Answer:

4/6

Step-by-step explanation:

The correct statement for using the cumulative distribution function (cdf), F(x), to solve the probability P(X<12) is: F(12) - F(11), We subtract the cdf value at x-1 from the cdf value at x.

The cumulative distribution function (cdf), denoted as F(x), gives the probability that a random variable X takes on a value less than or equal to x. In this case, we are interested in finding the probability that X is less than 12, which can be expressed as P(X<12).

To calculate this probability using the cdf, we need to find the difference between the cdf values at 12 and 11. The cdf value at 12, denoted as F(12), gives the probability that X is less than or equal to 12. Similarly, the cdf value at 11, denoted as F(11), gives the probability that X is less than or equal to 11.

Since we want to find the probability that X is strictly less than 12, we subtract the probability that X is less than or equal to 11 from the probability that X is less than or equal to 12. Mathematically, this can be written as F(12) - F(11).

Therefore, the correct statement for using the cdf to solve P(X<12) is F(12) - F(11).

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Answer:

Step-by-step explanation:

Answer:

it's. -7 -2

7 0

Step-by-step explanation:

because to find X we have to add B with A

X-A=B

or,X=B+A

Answer:

\(R=\dfrac{8}{13}\)

Step-by-step explanation:

Inbounds in the volleyball match = 8

Out of bounds in the volleyball match = 5

Total serves = inbounds + out of bounds

= 8+5

= 13

The ratio of services that were inbounds to total serves is given by :

\(R=\dfrac{8}{13}\)

Hence, this is the required solution.

Answer:

21°F

Step-by-step explanation:

From 7am to noon, the temperature changed by 21°F