math what does g =.................

the answer is 14 strips of fabric.

Answer:

3

Step-by-step explanation:

divide the top number by the bottom to always find the constant of proportionality :D

Answer:

3

Step-by-step explanation:

y is being multiplied by 3  to get the x values. Hope this helped you!! Give brainliest.

Step-by-step explanation:

Part A would be 8 and 11 because both of those were 0, which is as little as you can get

Part B, we just count the dots, which is 20. 20 students

Answer: (x-2)(2x+5)

For a polynomial of the form  a x 2 + b x + c

rewrite the middle term as a sum of two terms whose product is  a  x (times) c = 2 − 10 = − 20  and whose sum is  b = 1

2 x 2 − 4 x + 5 x − 10 = 0

2 x ( x − 2 ) + 5 ( x − 2 ) = 0

( x − 2 ) ( 2 x + 5 ) = 0

x − 2 = 0  

2 x + 5 = 0

Set the first factor equal to  0

x − 2 = 0

Add  2  to both sides of the equation.

x = 2

Set the next factor equal to  0  

2 x + 5  =  0

Subtract  5  from both sides of the equation.

2 x = −  5

Divide each term by  2  and simplify.  

x  =  −  5 /2

The final solution is all the values that make   = ( x − 2 )  ( 2 x + 5 )  =  0  = true.

x  =  2 ,  −  5 / 2

The calculated value of k on the line is 9

From the question, we have the following parameters that can be used in our computation:

XZ is the perpendicular bisector of segment WY

This means that

WX = XY

substitute the known values in the above equation, so, we have the following representation

3k - 4 = 2k + 5

So, we have

3k - 2k = 4 + 5

Evaluate

k = 9

Hence, the value of k is 9

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Answer:

n = 19

Step-by-step explanation:

2n > 36 ( divide both sides by 2 )

n > 18

and

5n < 100 ( divide both sides by 5 )

n < 20

so n > 18 and n < 20

thus n = 19

Answer:

After calculating values from test statics we come to know that value of if null hypothesis is true then it will rejected

As critical values of z is ±1.96 after apply the test statics formula , we get the value of z that is - 4.50 As we consider the equation that

H₀ > z

Apply test statistic we fine the true value . So there is sufficient evidence to reject the claim.

Step-by-step explanation:

critical values z₀ = ±1.96; standardized test statistic z ≅ -4.50;

reject H₀

There is sufficient evidence to reject the claim.

Answer:

1050 miles

Step-by-step explanation:

velocity=distance/time

Distance=450 miles

Time=3 hours

Velocity=150 miles/hours

if time is 7 and velocity is 150 distance is 7x150=1050 miles

Solve Absolute Value.

|6x + 3| = 15

We know either 6x + 3 =15 or 6x + 3 = −15

================================================================

6x + 3 = 15 (Possibility 1)

6x + 3 - 3 = 15 − 3 (Subtract 3 from both sides)

6x = 12

\(\boldsymbol{\sf{\dfrac{6x}{6}=\dfrac{12}{6} \ \longmapsto \ (Divide \ both \ sides \ by \ 6) }}\)

x = 2

=================================================================

6x + 3 = −15 (Possibility 2)

6x + 3 - 3 = -15 - 3 (Subtract 3 from both sides)

6x = -18

\(\boldsymbol{\sf{\dfrac{6x}{6}=\dfrac{-18}{6} \ \longmapsto \ (Divide \ both \ sides \ by \ 6) }}\)

x = -3

Therefore, the answer is x = 2 or x = −3. The correct option is alternative "D".

Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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Answer:

10

Step-by-step explanation:

Slope Formula: \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

=\(\frac{-4-6}{-3-(-2)}\)

=\(\frac{-10}{-1}\) = 10

Hope this helps!

The expected weight left after the next customer's order shipped is 92 pounds, and the variance of the weight left is 51.2 lb²

What is the probability mass function?

A probability mass function (PMF) is a mathematical function that describes the probability of each possible value of a discrete random variable. In simpler terms, the PMF gives the likelihood of a specific outcome occurring when you randomly select an item from a finite set of possible outcomes.

The PMF assigns a probability to each outcome, such that the sum of all probabilities equals 1. The PMF is often presented in a table or a graph to show the probabilities associated with each possible value of the random variable.

The given probability mass function (pmf) for the number of batches ordered by a randomly chosen customer, X, is:

X P(X)

0 0.3

1 0.5

2 0.1

3 0.1

To calculate the expected value of X, we use the formula:

E(X) = Σ [x * P(X=x)]

E(X) = (0 * 0.3) + (1 * 0.5) + (2 * 0.1) + (3 * 0.1)

E(X) = 0 + 0.5 + 0.2 + 0.3

E(X) = 1

To calculate the variance of X, we first need to calculate the squared values of X:

X²

0² = 0

1²  = 1

2² = 4

3² = 9

Then, we use the formula:

Var(X) = E(X²) - [E(X)]²

E(X²) = Σ [x² * P(X=x)]

E(X²) = (0² * 0.3) + (1² * 0.5) + (2² * 0.1) + (3² * 0.1)

E(X²) = 0 + 0.5 + 0.4 + 0.9

E(X²) = 1.8

Var(X) = E(X²) - [E(X)]²

Var(X) = 1.8 - 1²

Var(X) = 0.8 batches²

The expected number of pounds left after the next customer's order is shipped can be calculated as:

E(Weight left) = 100 - 8X

where X is the number of batches ordered by the next customer.

Using the formula for the expected value of X that we found earlier, we can write:

E(Weight left) = 100 - 8E(X)

E(Weight left) = 100 - 8(1)

E(Weight left) = 92 lb

To calculate the variance of the number of pounds left, we first need to find the variance of X, which we already calculated as 0.8 batches² Then, we use the formula for the variance of a linear function of a random variable:

Var(aX + b) = a² * Var(X)

where a = -8 (the negative sign indicates that the weight left decreases as X increases) and b = 100.

Var(Weight left) = (-8)² * Var(X)

Var(Weight left) = 64 * 0.8

Var(Weight left) = 51.2 lb^2

Therefore, the expected weight left after the next customer's order is shipped is 92 pounds, and the variance of the weight left is 51.2 pounds squared.

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Step-by-step explanation:

study by the University of London found that participants who multitasked during cognitive tasks, experienced an IQ score decline similar to those who have stayed up all night. Some of the multitasking men had their IQ drop 15 points, leaving them with the average IQ of an 8-year-old chil

Answer:

-x^(4)+6x^(3)+7x^(2)-4x-4

Step-by-step explanation:

Answer:

-x^2 + 6x^3 +7x^2 -4x-4

Step-by-step explanation:

The image you described features a number line that goes from 0 to 6.5 in increments of 0.5.

On this number line, there is an arrow that starts at 0 and extends to 2.5, and then continues from 2.5 to 5.

This image can be visualized as follows:

0        1        2        3        4        5        6        6.5

|--------|--------|--------|--------|--------|--------|--------|

        |------------------------|------------------------|

             0 to 2.5                 2.5 to 5

The vertical lines represent the increments of 0.5 on the number line, and the arrow indicates the segments from 0 to 2.5 and from 2.5 to 5.

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The condition that will prove the two triangles similar is

side JL = 8 * side ZX

angle L = angle Z

Similar triangles are  triangles which have the  similar shape however not necessarily the equal size. More officially, two triangles are comparable if their corresponding angles are congruent and their corresponding aspects are in proportion.

This means that if we had been to scale one triangle up or down uniformly, the ensuing triangle could be much like the original triangle.

In the figure, the scale is 8

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Marshawn batting average as fraction in simplest form is 90909/125000.

Given a number into decimal form i.e., 0.727272...

Marshawn has batting average of 0.727272....

And, Write his batting average as fraction in simplest form.  

Based on the given conditions,

Formulate:

0.727272..

Simplify in simplest form:
0.727272/1

= 7.27272/10

=72.7272/100

= 727.272/1000

= 7272.72/10000

=72727.2/100000

=727272/1000000

It is divided by 2, we get

= 363636/ 500,000

= 181,818/ 250,000

= 90909/125000

Hence, Marshawn batting average as fraction in simplest form is 90909/125000.

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Answer:

71.875

use long division so the 5.75 goes on top of the 0.08

Answer:

80112

Step-by-step explanation:

Answer:

D. -4x(x - 2)(x+3)

Step-by-step explanation:

We are given the following trinomial:

\(-4x^3 - 4x^2 + 24x\)

-4x is the common term, so:

\(-4x(\frac{-4x^3}{-4x} - \frac{4x^2}{-4x^3} + \frac{24x}{-4x}) = -4x(x^2+x-6)\)

The second degree polynomial can also be factored, finding it's roots.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

\(ax^{2} + bx + c, a\neq0\).

This polynomial has roots \(x_{1}, x_{2}\) such that \(ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})\), given by the following formulas:

\(x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}\)

\(x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}\)

\(\Delta = b^{2} - 4ac\)

x² + x - 6

Quadratic equation with \(a = 1, b = 1, c = -6\)

So

\(\Delta = 1^{2} - 4(1)(-6) = 25\)

\(x_{1} = \frac{-1 + \sqrt{25}}{2} = 2\)

\(x_{2} = \frac{-1 - \sqrt{25}}{2} = -3\)

So

\(x^2 + x - 6 = (x - 2)(x - (-3)) = (x - 2)(x + 3)\)

The complete factorization is:

\(-4x(x^2+x-6) = -4x(x - 2)(x + 3)\)

Thus the correct answer is given by option d.

Answer:

can you give me a diagram or something

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

just 19

ANSWER: y = (1/2)x - 1.

To find the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1), we need to determine the slope of the tangent line and its y-intercept.

First, let's find the derivative of the function y = √(x - 3) using the power rule:

dy/dx = 1/(2√(x - 3))

Now, we can substitute x = 4 into the derivative to find the slope of the tangent line at that point:

m = dy/dx = 1/(2√(4 - 3)) = 1/2

So, the slope of the tangent line is 1/2.

Next, we can use the point-slope form of a line to find the equation of the tangent line. Given the point (4, 1) and the slope m = 1/2, the equation becomes:

y - y1 = m(x - x1)

Substituting the values (x1, y1) = (4, 1):

y - 1 = (1/2)(x - 4)

Simplifying the equation:

y - 1 = (1/2)x - 2

y = (1/2)x - 1

Therefore, the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1) is y = (1/2)x - 1.

Answer:

y = (1/2)x - 1/2

Step-by-step explanation:

Step 1: Find the derivative of the function

The derivative of a function gives the slope of the tangent line to the curve at any point. To find the derivative of the given function y = sqrt(x - 3), we can use the power rule of differentiation which states that:

d/dx (x^n) = nx^(n-1)

Applying this rule to our function, we get:

dy/dx = d/dx sqrt(x - 3)

To differentiate the square root function, we can use the chain rule of differentiation which states that:

d/dx f(g(x)) = f'(g(x)) * g'(x)

Applying this rule to our function, we have:

g(x) = x - 3

f(g) = sqrt(g)

So,

dy/dx = d/dx sqrt(x - 3) = f'(g(x)) * g'(x) = 1/(2*sqrt(g(x))) * 1

Substituting g(x) = x - 3, we get:

dy/dx = 1/(2*sqrt(x - 3))

So, the derivative of y with respect to x is 1/(2*sqrt(x - 3)).

Step 2: Evaluate the derivative at the given point

To find the slope of the tangent line at the point (4, 1), we need to substitute x = 4 into the derivative expression:

dy/dx = 1/(2*sqrt(4 - 3)) = 1/2

So, the slope of the tangent line at the point (4, 1) is 1/2.

Step 3: Use point-slope form to write the equation of the tangent line

Now that we know the slope of the tangent line at the point (4, 1), we can use point-slope form to write the equation of the tangent line. The point-slope form of a line is given by:

y - y1 = m(x - x1)

where (x1, y1) is the point on the line and m is the slope of the line.

Substituting the values x1 = 4, y1 = 1, and m = 1/2, we get:

y - 1 = (1/2)*(x - 4)

Simplifying this equation, we get:

y = (1/2)x - 1/2

So, the equation of the tangent line to the curve y = sqrt(x - 3) at the point (4, 1) is y = (1/2)x - 1/2.

Hope this helps!

Answer:

14

Step-by-step explanation:

Answer:

$13.50.

Step-by-step explanation:

80% = 0.80 as a decimal fraction.

The marked up price

= 7.50 + 0.80 * 7.50

= $13.50.

so the new price will just be 7.5 plus 80% of 7.5

\(\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{80\% of 7.50}}{\left( \cfrac{80}{100} \right)7.50}\implies 6\hspace{5em}\underset{selling~price}{\stackrel{7.50~~ + ~~6}{13.50}}\)

Answer:

pls can u tell which grade are you

Answer:

J

Step-by-step explanation:

x+1/x3-x=x+1/x2

=1/x

1/x2-x=1/x

Answer: 108

Step-by-step explanation: Let the total number of sweets be x

Therefore, Anna  - (x/3)+8

After Anna, remaining amount is x - ((x/3)+8) = 2x/3 + 8

Betty took (2x/3 + 8)/2 + 18 = x/3 + 22

Remaining = x - ((x/3)+8) - (x/3 + 22) = x/3 -30

Candy took the rest which is 6 i.e.

x/3 - 30 = 6

x/3 = 36

x = 108

The correct proof of the equation is cos3θ =cos(2θ + θ) =  cos²θ - 3cosθsin²θ (Proved)

Given the trigonometry identity below:

cos3∅=cos²∅-3cos∅sin²∅

We are to prove that both sides of the equation are equal.

cos 3θ = cos(2θ + θ)

Using the double angle formula for cosine, we can expand the first term:

cos(2θ + θ) = cos2θ cos θ - sin2θ sinθ

Since cos2θ = cos²θ - sin²θ

cos(2θ + θ) =  cos²θ - sin²θ - 2cosθsinθsinθ

cos(2θ + θ) = cos²θ - sin²θ - 2cosθsin²θ

On simplifying, we can see that;

cos3θ =cos(2θ + θ) =  cos²θ - 3cosθsin²θ (Proved)

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