brainlllyy i need an answer what’s the slope of this line

Answer:

The height of the water increases 2.5 inches per second.

(Hope this helps! Btw, I answered first. Brainliest please!)

Answer:

\(x\leq -2\)

Step-by-step explanation:

Solve for x:

\(-4x+20\geq 28\)

Subtract 20 on both sides

\(-4x\geq 8\)

Flip the sign and multiply both sides by -4

\(16x\leq -32\)

Divide by 16

\(x\leq -2\)

Answer:

neither

Step-by-step explanation:

Answer:

(c)

Step-by-step explanation:

If these are

Parallel, slope of both the lines is same.

Perpendicular, if they are -ve reciprocal of each other.

In y = mx + c, slope is m.

Compare,

Slope of y=4x+1, is 4.

of 8y-16=2x is 2/8 = 1/4, which is reciprocal of 4,but not -ve.

So it is neither ll nor perpendicular.

Answer:

D

Step-by-step explanation:

Ben is buying 30 juice boxes. Since each pack has 3 juice boxes, we can make it (30 / 3) so far. 30 / 3 is how many packs Ben buys. Now, since each pack is $1.25, we have to multiply 30 / 3 by 1.25.

Therefore, the answer is c = (30 / 3) * 1.25

I hope this helped and please mark me as brainliest!

Answer:

We need to solve this system of equations by substitution:

-6x-2y =20

3y=x

Yu can do it with the letter you decide

You can get the x from the second equation and replace in the first:

3y = x

-6x - 2y = 20 -> -6(3y) - 2y = 20 --> -18y - 2y = 20 --> y=-1

Then we can replace in the second one:

3*(-1) = x ---> -3 = x

So the answer is x = -3, y = -1

The proof of cosec(2A) + cot(4A) = cot(A) - cosec(4A)  is shown below.

Using the trigonometric identities:

cosec(θ) = 1/sin(θ)

cot(θ) = 1/tan(θ) = cos(θ)/sin(θ)

We can rewrite the equation as:

1/sin(2A) + cos(4A)/sin(4A) = cos(A)/sin(A) - 1/sin(4A)

Next, let's simplify the expression on the left side by finding a common denominator:

(sin(4A) + cos(4A))/(sin(2A) x sin(4A)) = cos(A)/sin(A) - 1/sin(4A)

[(cos(A) x sin(4A) - sin(A))/(sin(A)  x sin(4A))]  = [(cos(A) - sin(A))/(sin(A) x sin(4A))]

or, sin(4A) + cos(4A) = cos(A) - sin(A)

Using the double-angle identity sin(2A) = 2sin(A)cos(A):

2sin(A)cos(A) + cos(4A) = cos(A) - sin(A)

Next, double-angle identity cos(2A) = 1 - 2sin²(A):

2sin(A)cos(A) + cos(2A)cos(2A) = cos(A) - sin(A)

Using the identity cos(2A) = 1 - 2sin²(A) again:

2sin(A)cos(A) + (1 - 2sin²(A))(1 - 2sin²(A)) = cos(A) - sin(A)

Expanding and simplifying the equation:

2sin(A)cos(A) + 1 - 4sin²(A) + 4sin⁴(A) = cos(A) - sin(A)

4sin⁴(A) - 4sin²(A) + 2sin(A)cos(A) - sin(A) - cos(A) + 1 = 0

Now, let's factor the equation:

(2sin(A) - 1)(2sin(A) + 1)(2sin²(A) - 1) = 0

We know that sin(A) cannot be equal to 1 or -1, so the equation reduces to:

2sin²(A) - 1 = 0

This is equivalent to the identity sin²(A) + cos²(A) = 1, which is true for all angles A.

Therefore, the equation cosec(2A) + cot(4A) = cot(A) - cosec(4A) holds true.

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Answer: the answer is x=0

Step-by-step explanation:

Answer: x + x - 40 = 152; 96

Step-by-step explanation:

If x is the highest score, then x - 40 would be the lowest score because of a 40 point difference. Adding these terms would result to x + x - 40 which is equal to 152. This sets up the equation x + x - 40 = 152. The value of x in this equation would be 96.

Answer:

56%, 4/5, 1.07, 5/4

Step-by-step explanation:

5/4=1.25

56%=0.56

1.07

4/5=0.8

so the order is

56%, 4/5, 1.07, 5/4

none of the provided options (a, b, c, d) appear to be accurate or close to the minimum space required.

To determine the minimum space required for a male restroom design with the given plumbing requirements, we need to consider the minimum space required for water closets and lavatories.

The minimum space required for water closets is typically around 30-36 inches per unit, and for lavatories, it is around 24-30 inches per unit.

Since the design requires a minimum of 12 water closets and 13 lavatories, we can estimate the minimum space required as follows:

Minimum space required for water closets = 12 water closets * 30 inches = 360 inches

Minimum space required for lavatories = 13 lavatories * 24 inches = 312 inches

Adding these two values together, we get a total minimum space requirement of 672 inches.

Among the given options, the closest value to 672 inches is option d) 249. However, this value seems significantly lower than the expected minimum space requirement.

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(a) The parametric equations that model the path of the rocket are x = 30t and y = 30√3t.

(b) The rectangular equation that models the path of the rocket is t = 6.928 seconds.

(c) 207.84 feet the rocket is in flight, and 359.97 feet the horizontal distance covered.

What is the angle?

An angle is a figure in Euclidean geometry created by two rays, called the sides of the angle, that share a common termination, called the vertex of the angle. Angles created by two rays are also known as plane angles because they lie in the plane in which the rays are located.

Here, we have

Given: A rocket is launched from the ground with a velocity of 60 feet per second at an angle of 60° with respect to the ground.

(a) We have to determine the parametric equations that model the path of the rocket.

Velocity = 60ft/sec

θ = 60°

Distance = speed × time

d = 60t

dₓ is the displacement in x- the direction

dₓ = vcosθ

dₓ = 60tcos60°

dₓ = 60t×1/2

dₓ = 30t

x = 30t

\(d_{y}\) is the displacement in y- the direction

\(d_{y}\)  = vsinθ

\(d_{y}\)  = 60tsin60°

\(d_{y}\)  = 60t×√3/2

\(d_{y}\)  = 30t√3

y = 30√3t

Hence, the parametric equations that model the path of the rocket are x = 30t and y = 30√3t.

(b) We have to determine the rectangular equation that models the path of the rocket.

v = u + at

a = acceleration

v = final velocity

Here,

a = gcos30° but in opposite direction.

So,

a = -gcos30°

a = -10×√3/2

a = -5√3

Now, we put the value of a in v = u + at and we get

v = u + at

0 = 60 -5√3t

t = 6.928seconds

Hence, the rectangular equation that models the path of the rocket is t = 6.928 seconds.

(c) We have to determine how long the rocket is in flight and the horizontal distance covered.

x = 30t = 30(6.928) = 207.84feet

y = 30√3t = 30√3(6.928) = 359.97feet

Hence, 207.84 feet the rocket is in flight, and 359.97 feet the horizontal distance covered.

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A researcher conducted an independent groups t test. There were 30 participants in this study.

The number of participants in the study is given by the degrees of freedom (df) for the t-test, which is calculated as:

df = n1 + n2 - 2

where n1 and n2 are the sample sizes for the two groups being compared.

In this case, we are not given the sample sizes directly, but we are given the t-value and the degrees of freedom. We can use a t-table or a statistical software to find the p-value associated with this t-value, and then use the p-value to calculate the degrees of freedom.

Assuming a two-tailed test with a significance level of 0.05, the p-value for a t-value of 3.77 and 30 degrees of freedom is approximately 0.001. This means that the probability of observing a t-value of 3.77 or more extreme under the null hypothesis (that there is no difference between the two groups) is 0.001.

Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that there is a significant difference between the two groups. Therefore, we can assume that the sample sizes are reasonably large (typically, at least 20 for each group) and use the formula for degrees of freedom as:

df = n1 + n2 - 2 = 30

Therefore, there were 30 participants in this study.

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Answer:

The ordered pair (-6, -2) is in the solution set of the system of equations shown below ⇒ D

Step-by-step explanation:

To find the ordered pair that is in the solution set of the system of the equation substitute x and y in each equation by the coordinates of the ordered pair, if the two sides of equations are equal, then the ordered pair is in the solution set of the system of equations

∵ The equations are y² - x² + 32 = 0 ⇒ (1) and 3y - x = 0 ⇒ (2)

∵ The 1st ordered pair is (2, 6)

∴ x = 2 and y = 6

→ Substitute them in equation (2) first

∵ The left side = 3y - x

∴ The left side = 3(6) - 2 = 18 - 2 = 16

∵ The right sides = 0

∴ Left side ≠ Right side

∴ (2, 6) is not a solution to the system of equations

∵ The 2nd ordered pair is (3, 1)

∴ x = 3 and y = 1

→ Substitute them in equation (2) first

∵ The left side = 3y - x

∴ The left side = 3(1) - 3 = 3 - 3 = 0

∵ The right sides = 0

∴ Left side = Right side

→ Substitute them in equation (1)

∵ The left side = y² - x² + 32

∴ The left side = (1)² - (3)² + 32 = 1 - 9 + 32 = 24

∵ The right sides = 0

∴ Left side ≠ Right side

∴ (3, 1) is not a solution to the system of equations

∵ The 3rd ordered pair is (-1, -3)

∴ x = -1 and y = -3

→ Substitute them in equation (2) first

∵ The left side = 3y - x

∴ The left side = 3(-3) - (-1) = -9 + 1 = -8

∵ The right sides = 0

∴ Left side ≠ Right side

∴ (-1, -3) is not a solution to the system of equations

∵ The 4th ordered pair is (-6, -2)

∴ x = -6 and y = -2

→ Substitute them in equation (2) first

∵ The left side = 3y - x

∴ The left side = 3(-2) - (-6) = -6 + 6 = 0

∵ The right sides = 0

∴ Left side = Right side

→ Substitute them in equation (1)

∵ The left side = y² - x² + 32

∴ The left side = (-2)² - (-6)² + 32 = 4 - 36 + 32 = 0

∵ The right sides = 0

∴ Left side = Right side

∴ (-6, -2) is a solution to the system of equations

The ordered pair (-6, -2) is in the solution set of the system of equations shown below

Step-by-step explanation:

We can find the modulus/absolute value from the point -8.95 to each of the other points:

|(-9) - (-8.95)| = 0.05.

|(-8) - (-8.95)| = 0.95.

|(-7) - (-8.95)| = 1.95.

So what this tell us is that the point -8.95 is furthest away from -7 and is closest to -9. It is also much closer to -9 than to -8. (compare 0.05 with 0.95)

Hence the best answer is Point A. (A)

The graph of the translated function g(x) = f(x + 2) - 4 is graph A.

Here we start with the parent function:

f(x) = ∛x

We have the translated function:

g(x) = f(x + 2) - 4

This is a translation of 2 units to the left and 4 units downwards.

Then we can write this function as:

g(x) = ∛(x + 2) - 4

So we need to have the critical point (change of curvature) at the point (-2, -4) instead of (0, 0) like in the parent function.

With that in mind, the correct option is A.

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28+19x=-8+15x​

Move the variable terms ( the one with "x" ) to the left side of the equation.

19x-15x = -8-28

4 x = -36

Divide both sides by 4:

4x/4 = -36/4

x= -9

The graph of the equation y = 2x^2 - 8x + 15 does not intersect the x-axis, and it has zero x-intercepts.

To find the x-intercepts of the graph of the equation y = 2x^2 - 8x + 15, we need to determine the values of x when y equals zero.

Setting y = 0, we have:

0 = 2x^2 - 8x + 15

To solve this quadratic equation, we can use factoring, completing the square, or the quadratic formula. Let's use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

In our equation, a = 2, b = -8, and c = 15. Substituting these values into the quadratic formula, we get:

x = (-(-8) ± √((-8)^2 - 4(2)(15))) / (2(2))

Simplifying further, we have:

x = (8 ± √(64 - 120)) / 4

x = (8 ± √(-56)) / 4

Since the term inside the square root is negative, the equation has no real solutions. This means that there are no x-intercepts for the graph of y = 2x^2 - 8x + 15.

Therefore, the graph of the equation y = 2x^2 - 8x + 15 does not intersect the x-axis, and it has zero x-intercepts.

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Answer:

Step-by-step explanation:

I’m not smart

The length of the rivet should be 3/8 inch to pass through the two sheets of metal.

We must take into account the shank length as well as the thickness of the two metal sheets.

Assumed:

The thickness of the two metal sheets and the shank length must be added to determine the overall length of the rivet:

Total length = 2 * (Thickness of sheet metal) + Shank length

Substituting the values:

Total length = 2 * (1/16 inch) + 1/4 inch

Calculating the values:

Total length = 1/8 inch + 1/4 inch

Total length = 1/8 inch + 2/8 inch

Total length = 3/8 inch

So, the length of the rivet should be 3/8 inch to pass through the two sheets of metal.

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Brand 6

1) In this problem, we need to find the unit rate. So let's do it and then compare for both brands

2) Brand A

So for Brand A, 1 oz is approximately 13 cents ( rounding up to the nearest hundredth)

3) Brand 6

We can write out another proportion:

So brand 6, 1 oz is approximately 10 cents.

In a pizza takeout restaurant, the random variable x represents the number of toppings for a large pizza. The following probability distribution was obtained: Probability distribution:
x: 0 1 2 3 4 5 6
P(x): 0.05 0.10 0.15 0.20 0.25 0.15 0.10The mean of the distribution is given by;μ = ∑xP(x) ………… (1)where;μ = mean or expected value of the distribution.x = each of the possible values of x.P(x) = corresponding probability associated with each value of x.Substitute the values in equation (1);μ = 0(0.05) + 1(0.10) + 2(0.15) + 3(0.20) + 4(0.25) + 5(0.15) + 6(0.10)μ = 0 + 0.1 + 0.3 + 0.6 + 1 + 0.75 + 0.6μ = 3.35

The mean number of toppings for a large pizza is 3.35.The variance of the distribution is given by;σ2 = ∑(x - μ)2P(x) ………..(2)where;σ2 = variance of the distribution.μ = mean or expected value of the distribution.x = each of the possible values of x.P(x) = corresponding probability associated with each value of x.Substitute the values in equation (2);σ2 = [0 - 3.35]2(0.05) + [1 - 3.35]2(0.10) + [2 - 3.35]2(0.15) + [3 - 3.35]2(0.20) + [4 - 3.35]2(0.25) + [5 - 3.35]2(0.15) + [6 - 3.35]2(0.10)σ2 = 11.2Standard deviation (σ) = sqrt(σ2)Substitute the value of σ2 into the formula above;σ = sqrt(11.2)σ = 3.35The standard deviation of the distribution is 3.35.What is the meaning of standard deviation?Standard deviation is a measure of the dispersion of a set of data from its mean. The more the spread of data, the greater the deviation of data points from their mean.

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In a pizza takeout restaurant, the following probability distribution was obtained. The random variable x represents the number of toppings for a large pizza. Find the mean and standard deviation.

Solution:The probability distribution is not given in the problem statement. Without the probability distribution, we cannot calculate the mean or the standard deviation of the probability distribution.

Example of how to calculate the mean and standard deviation of a probability distribution:Suppose that the following probability distribution is given.The random variable x represents the number of times an individual will blink their eyes in a 20-second period.x 1 2 3 4P(x) 0.1 0.4 0.3 0.2

The mean is given by the formula μx= ΣxP(x).

Therefore, μx = (1 × 0.1) + (2 × 0.4) + (3 × 0.3) + (4 × 0.2) = 0.1 + 0.8 + 0.9 + 0.8 = 2.6.To calculate the variance, we use the formula: σx² = Σ(x-μx)²P(x).

Hence, σx² = (1 - 2.6)²(0.1) + (2 - 2.6)²(0.4) + (3 - 2.6)²(0.3) + (4 - 2.6)²(0.2) = 1.56. Therefore, σx = √1.56 = 1.25.

The mean and standard deviation of the probability distribution are 2.6 and 1.25, respectively.

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Answer:

there is a maximum value

the maximum occurs at the point (-5, 4)

The maximum value is 4

Step-by-step explanation:

When graphed the function is a parabola that opens down because of the -3

Therefore, there is a maximum value and it is the k value of the vertex (h, k)

h = - b/2a       a = -3    b = -30

  =  -(-30)/2(- 3) = 30/-6 = -5

k = -3\((-5)^{2}\) -30(-5) - 71

  = -3(25) + 150 - 71

  = -75 + 150 - 71

  = 4

The vertex is (-5, 4)   So the maximum occurs at the point (-5, 4)

The maximum value is 4

Answer:

14.1

find the square root of 490.9, then divide that by pi to get the radius. lastly multiply by two to get diameter.

Answer: T be honest i really don't know.

Step-by-step explanation:

Answer:

x=29

Step-by-step explanation:

Based off of the Consecutive Interior Therom, Angle 1= Angle 2. With this given, you get:

6x-1=5x+28

-5x. -5x

x-1=28

ANSWER:

x=29

Answer:

70

Step-by-step explanation:

50% of 70 is 35

hope this helps :3

if it did pls mark brainliest

Answer:

556.5 cm²

Step-by-step explanation:

Area of trapezium :

Area = 1/2 (a + b)h

a = base length 1

b = base length 2

h = height

From the information given :

Distance between MN and PQ = Height, h = 21 cm

Base MN, a = 28 cm

Base PQ, b = 25 cm

Hence,

Area = 1/2 (28 + 25) * 21

Area = 1/2 (53) * 21

Area = 556.5 cm²

Here's the MATLAB code to plot the 3D surface of the cone (z-1)^2 = x^2 + y^2 and calculate the circulation of the given vector field around the closed curve C:

% Plotting the 3D surface of the cone

[X, Y] = meshgrid(-5:0.1:5);  % Create a grid of x and y values

Z = sqrt(X.^2 + Y.^2) + 1;    % Calculate corresponding z values

surf(X, Y, Z);                % Plot the surface

xlabel('x');

ylabel('y');

zlabel('z');

title('3D Surface of the Cone');

grid on;

% Calculating the circulation of the vector field around the closed curve C

syms x y z;

C = [x, 0, z-1];          % Parameterization of the curve C in (x, y, z) coordinates

F = [y*exp(x*y), x*exp(x*y), x*y*z];  % Vector field

curl_F = curl(F, [x, y, z]);           % Calculate curl of F

circulation = int(subs(curl_F, [x, y, z], C), x, -1, 1);  % Calculate circulation

disp("Circulation of the vector field around the closed curve C:");

disp(circulation);

To plot the 3D surface of the cone, you can run the above code in MATLAB. It will generate a 3D plot with the labeled axes and a title.

For the calculation of the circulation, the code uses symbolic variables (x, y, z) to represent the curve C and the vector field F. It calculates the curl of the vector field and then evaluates the circulation by integrating the curl over the curve C using the symbolic variable x as the integration variable. The result is displayed as the circulation of the vector field around the closed curve C.

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Answer:

x=11/2

Step-by-step explanation:

5x-1=3x+10

2x-1=10

2x=11

x=11/2

Answer:

5.5

Step-by-step explanation:

5.5x3=25.6

25.6+10=27.6

5x5.5=27.6

27.6-1=26.6