Y=3x-7 Missing value

Answer:

270cm squared

area of shaded part rectangle is 180

are of triangle is 48 and 42 respectively you add the three to get 270

Answer:

I can't help I cause u don't have questions to pick from

The quadratic equation with the given vertex is:

y = 5*(x + 3)^2 - 2

We know that for a parabola of vertex (h, k) and has a leading coefficient a can be written as:

y = a*(x - h)^2 + k

Here the vertex is (-3, -2), then we can replace that to get:

y = a*(x + 3)^2 - 2

Using the fact that our line passes through the point (0, 43), we can write:

43 = a*(0 + 3)^2 - 2

43 = a*9 - 2

43 + 2 = a*9

45/9 = a

5 = a

The quadratic equation is:

y = 5*(x + 3)^2 - 2

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To estimate the integral I = ∫50cos4xdx using the trapezoidal rule, we need to determine the minimum number of points (nmin) required to guarantee that the absolute value of the error is less than 10^(-6).

The trapezoidal rule estimates the integral of a function by approximating it as the sum of trapezoids formed by connecting points on the curve. The error in the trapezoidal rule approximation can be bounded by the following formula:

Error ≤ (b - a)^3 / (12n^2) * max|f''(x)|,

where a and b are the limits of integration, n is the number of intervals or points, and f''(x) is the second derivative of the function.

In this case, the function is f(x) = cos^4(x) and the limits of integration are 0 and π/2. The second derivative of f(x) is f''(x) = 12cos(2x) - 48cos^3(x).

To find nmin, we need to solve the inequality:

(b - a)^3 / (12n^2) * max|f''(x)| < 10^(-6).

Substituting the values for a, b, and max|f''(x)|, we have:

(π/2 - 0)^3 / (12n^2) * 60 < 10^(-6).

Simplifying the inequality, we find:

n^2 > (π^3 * 10^(-6)) / (720 * 60).

Taking the square root of both sides and rounding up to the nearest integer, we get:

nmin = ceil(sqrt((π^3 * 10^(-6)) / (720 * 60))).

Therefore, nmin is the minimum number of points needed to guarantee that the absolute value of the error is less than 10^(-6).

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The ordered pairs at which the graph of f(x) crosses the negative x-axis are given as follows:

(-6,0) and (-5,0).

The quadratic function for this problem is given as follows:

f(x) = 0.5x² + x - 9.

The coefficients are given as follows:

a = 0.5, b = 1, c = -9.

The discriminant is given as follows:

1² - 4(0.5)(-9) = 19.

Then the negative root is given as follows:

\(\frac{-1 - \sqrt{19}}{2(0.5)} = -5.35\)

Which is between x = -6 and x = -5, hence the ordered pairs are given as follows:

(-6,0) and (-5,0).

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The orthogonal trajectories of the curve y = 14ax are the curves given by y = -1/(14a) + F, where a is an arbitrary constant and F is a constant of integration.

To find the orthogonal trajectories of the curve y = 14ax, we need to find a family of curves that intersect the given curve at right angles. The differential equation for the orthogonal trajectories can be derived by taking the negative reciprocal of the derivative of the given curve.

Differentiating y = 14ax with respect to x, we get dy/dx = 14a. Taking the negative reciprocal, we have -dx/dy = 1/(14a). Rearranging the equation, we get dx/dy = -1/(14a).

This is a first-order linear differential equation, which can be solved by separating variables and integrating. Integrating both sides, we have ∫ dx = ∫ -1/(14a) dy. This simplifies to x = -y/(14a) + C, where C is the constant of integration.

To eliminate the constant of integration, we can express it as another function of y. Let C = F, where F is a constant. Rearranging the equation, we get x = -y/(14a) + F. This equation represents the family of curves that are orthogonal to the given curve y = 14ax.

The orthogonal trajectories of the curve y = 14ax are given by the equation y = -1/(14a) + F, where a is an arbitrary constant and F is a constant of integration. These curves intersect the given curve at right angles.

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The pay gap, on the other hand, rapidly becomes much more substantial as workers advance in their careers, peaking at age 59, when men earn more than double what women earn, with an average of $119,000 for men and $54,000 for women.

In the United States, there exists a substantial wage gap between men and women. According to a 2015 analysis by a national women's group, women lose $435,049 over the course of their careers due to the pay gap. The average earnings of men and women are shown in the bar graph to the right at various ages. The disparity between men's and women's earnings in the workplace is a critical problem.

According to the graph above, the average earnings for women and men vary widely as they age. The pay gap at the start of a woman's working career is modest, but it grows rapidly and becomes much more substantial as she ages and advances through her career. As depicted in the graph, the average earnings for men and women are reasonably similar at the beginning of their working careers, with both sexes earning an average of roughly $20,000 at age 20.

The pay gap, on the other hand, rapidly becomes much more substantial as workers advance in their careers, peaking at age 59, when men earn more than double what women earn, with an average of $119,000 for men and $54,000 for women. The chasm between what men and women earn in the workplace, according to the data provided, is considerable.

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The pay gap, on the other hand, rapidly becomes much more substantial as workers advance in their careers, peaking at age 59, when men earn more than double what women earn, with an average of $119,000 for men and $54,000 for women.

In the United States, there exists a substantial wage gap between men and women. According to a 2015 analysis by a national women's group, women lose $435,049 over the course of their careers due to the pay gap. The average earnings of men and women are shown in the bar graph to the right at various ages. The disparity between men's and women's earnings in the workplace is a critical problem.

According to the graph above, the average earnings for women and men vary widely as they age. The pay gap at the start of a woman's working career is modest, but it grows rapidly and becomes much more substantial as she ages and advances through her career. As depicted in the graph, the average earnings for men and women are reasonably similar at the beginning of their working careers, with both sexes earning an average of roughly $20,000 at age 20.

The pay gap, on the other hand, rapidly becomes much more substantial as workers advance in their careers, peaking at age 59, when men earn more than double what women earn, with an average of $119,000 for men and $54,000 for women. The chasm between what men and women earn in the workplace, according to the data provided, is considerable.

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How wide is the chasm between what men and women earn in the workplace? According to a 2015 analysis from a national women's group, women lose 5435,049 over the course of a career because of the pay gap. The bar graph to the right shows the average carnings in the United States for men and women at ages 22 and 57 This exercise Involves the graphs of models for the data shown in the rectangular coordinate system to the right. Complete parts (6) through (c) below. Average Yearly Eamings in the US by Gender and Age 70 GO (COL) ಠ ಠ Average aty Earrings (51000) ကို နိုင် ငံ မှ 370 560. 550 TROPY 540 530 5200 00.21 $10 50 0 10 20 30 40 50 Years Age 22 10 Age Use the two points for men shown on the graph to find a function in the form M(x)= mx + b that models average yearly earnings for men x years after age 22 M(x)- (Use integers or decimals for any numbers in the expression. Round to two decimal places as needed)

Answer:

X equals 5.8.

if u plug in 5.8+4= 9.8 which should be Leg B

Answer:

The student should subtract 8 from each side not add 8

Step-by-step explanation:

Point slope form is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y - -8 = -6(x -2)

y+8 = -6(x-2)

Distribute

y+8 = -6x+12

Subtract 8 from each side

y+8-8 = -6x+12-8

y = -6x+4

The student should subtract 8 from each side not add 8

Answer:

y -(-8) = -6(x - 2)

y -(-8) = -6x + 12

y -(-8) + 8 = -6x + 12 + 8 (this step is incorrect as minus into minus is plus therefore when taking 8 to the right hand side we must subtract it from the left hand side

y = -6x + 20

the correct equation would be : y= -6x+4

Answer:

false

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

It will cost $10.00 to waterproof a canvas truck cover that is 15' x 24'.

To find this, we need to first convert the dimensions of the canvas truck cover from feet to yards, since the cost is given per square yard. 15' x 24' = 180 sq ft. 1 sq yard is equal to 9 sq ft, so 180 sq ft/9 sq ft/yard = 20 sq yard. Then we multiply the square yards by the cost per square yard to find the total cost:

It's important to note that the measurements of the canvas truck cover are given in feet and the cost is given per square yard. It's important to convert it to square yards to match the unit of measurement and calculate the cost.

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Answer:

608

Step-by-step explanation:

1899*0.32= 607.68

But you can't have .68 of somebody, so round to 608

Answer:

5.8

Step-by-step explanation:

First, convert 312 to a decimal:

12=1÷2=0.5

312=3.5

Divide.

20.3÷3.5=5.8

The temperature changed by 5.8 °F every hour. That means the temperature rose from 0 °F to 5.8 °F between 7 a.m. and 8 a.m.

Answer:-3.6

Step-by-step explanation:

The given equation is z = y/|x|, where z, y, and x are numerical values. The absolute value of x, denoted as |x|, is the non-negative value of x, regardless of the sign of x.

To compute z, we first need to calculate |x|. For example, if x = -5, |x| = 5, since the absolute value of -5 is 5.

Once |x| is known, we can calculate z by dividing y by |x|. For example, if y = 10 and |x| = 5, then z = 10/5 = 2.

Therefore, the value of z in the equation z = y/|x| is determined by calculating the absolute value of x and then dividing y by the absolute value of x.

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Answer:

X intercept: -y

Y intercept: -x

I hope this correct and it helps!

Answer:

348 ÷ 3 = 116

63 × 27 = 1,701

Step-by-step explanation:

The work is in the file attached. Used long division, and long multiplication.

Answer:

arc length ≈ 29.32 mm

Step-by-step explanation:

arc length is calculated as

arc = circumference of circle × fraction of circle

      = 2πr × \(\frac{80}{360}\)

     = 2π × 21 × \(\frac{8}{36}\)

    = 42π × \(\frac{2}{9}\)

   = \(\frac{42\pi (2)}{9}\)

   ≈ 29.32 mm ( to the nearest hundredth )

Answer:

I think that the original price would be $30, but I'm not completely sure.

Step-by-step explanation:

Half (50%) of 40 would be 20, and half of 20 (25%) would be 10. Add 10 to 20 to get 30, because you are adding the %25 back to $20.

Hope this helps!

Answer:

$80

Step-by-step explanation:

25% = 1/4

To get original price multiply by 4:

$20 × 4 = $80

Answer:

Step-by-step explanation:

y = 2x - 1

x = 2y - 1

2y - 1 = x

2y = x + 1

y = x/2 + 1/2

Answer:

13.65

Step-by-step explanation:

I believe this is correct! Good luck :)

Theoretical Probability:

P(rolling a 2) = 16.7%

P(rolling a 5) = 16.7%

P(rolling 2 or 3) = 33.4%

P(greater than 4) = 33.4%

P(3 or less) = 50.1%

Experimental Probability:

P(rolling a 2) = 20%

P(rolling a 5) = 6%

P(rolling 2 or 3) = 36%

P(greater than 4) = 24%

P(3 or less) = 54%

Explanation:

Theoretical probability can be calculated based on the idea that each of the six numbers on the die has an equal chance of being rolled and all numbers' probabilities total to 100%. Experimental probability is based on the outcomes of your experiment (rolling the dice yourself).

When finding the probability of rolling a number or another number (for example, rolling a 2 or 3), just add the probabilities together (You rolled 2 ten times and 3 eight times, so the experimental probability of rolling a 2 or 3 is 18/50 = 36%)

Step-by-step explanation:

ASA stand for "angle-side-angle".

this means 2 angles have to be congruent, and then the side between these 2 angles.

the side(s) between the 2 given angles are AC and XZ.

so, these 2 sides need to be congruent too.

therefore B is the correct answer option.

We would need \(\bar{AC} = \bar{ZC}\) to be congruent to show that ΔABC= ΔXYZ by ASA congruency.

Option B is the correct answer.

There are ways to prove that two triangles are congruent.

- Side-Side-Side (SSS) Congruence.

The three sides of one triangle are equal to the corresponding three sides of another triangle.

- Side-Angle-Side (SAS) Congruence.

The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.

- Angle-Side-Angle (ASA) Congruence.

The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.

- Angle-Angle-Side (AAS) Congruence.

We have,

ΔABC and ΔXYZ

∠A = ∠X

∠Z = ∠C

This means,

Two corresponding angles are equal.

ASA congruency means we need to have two corresponding angles and one corresponding side.

And the sides must be between the two corresponding congruent angles.

So,

\(\bar{AC} = \bar{ZC}\)

Thus,

We would need \(\bar{AC} = \bar{ZC}\) to be congruent to show that ΔABC= ΔXYZ by ASA congruency.

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\(( ~~ \csc(\theta )-\cot(\theta ) ~~ )^2=\cfrac{1-\cos(\theta )}{1+\cos(\theta )} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ \csc(\theta )-\cot(\theta ) ~~ )^2\implies \csc^2(\theta )-2\csc(\theta )\cot(\theta )+\cot^2(\theta ) \\\\\\ \cfrac{1^2}{\sin^2(\theta )}-2\cdot \cfrac{1}{\sin(\theta )}\cdot \cfrac{\cos(\theta )}{\sin(\theta )}+\cfrac{\cos^2(\theta )}{\sin^2(\theta )}\implies \cfrac{1}{\sin^2(\theta )}-\cfrac{2\cos(\theta )}{\sin^2(\theta )}+\cfrac{\cos^2(\theta )}{\sin^2(\theta )}\)

\(\cfrac{\cos^2(\theta )-2\cos(\theta )+1}{\sin^2(\theta )}\implies \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{\sin^2(\theta )} \\\\\\ \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{1-\cos^2(\theta )}\implies \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{-[\cos^2(\theta )-1]}\)

\(\cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{-[\cos^2(\theta )-1^2]}\implies \cfrac{[\cos(\theta )-1][\cos(\theta )-1]}{-[\cos(\theta )-1][\cos(\theta )+1]} \\\\\\ \cfrac{\cos(\theta )-1}{-[\cos(\theta )+1]}\implies \cfrac{-[\cos(\theta )-1]}{\cos(\theta )+1}\implies \cfrac{1-\cos(\theta )}{1+\cos(\theta )}\)

Answer:

3  1/2

Step-by-step explanation:

Put '3' where 'y' is and compute :

[12 -3(3) ] / 2   + 3 [ (2(3)-4 )/3) =

   3/2              +   2  

    =   3  1/2

To determine the number of gold atoms in the coin, we need to use the molar mass of gold and Avogadro's number. The number of gold atoms in the coin is approximately 1.068 × 10^22 atoms. None of the provided options matches this value.

1. Find the molar mass of gold (Au):

The molar mass of gold is the atomic mass of gold, which can be found on the periodic table. The atomic mass of gold is approximately 197 g/mol.

2. Convert the mass of the coin to moles:

Number of moles = Mass / Molar mass

Number of moles = 3.5 g / 197 g/mol ≈ 0.01777 mol

3. Calculate the number of atoms:

Number of atoms = Number of moles × Avogadro's number

Number of atoms = 0.01777 mol × 6.022 × 10^23 atoms/mol ≈ 1.068 × 10^22 atoms

Therefore, the number of gold atoms in the coin is approximately 1.068 × 10^22 atoms. None of the provided options matches this value.

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L = k/f, where k is the variational constant, is the formula for the inverse variation.

A mathematical relationship between two variables in which they vary in opposing directions is referred to as an inverse proportion, also known as an inverse relationship. When one variable increases while the other decreases, this is known as having inverse proportions.

Using the variables length of violin 'l' and frequency of vibration 'f'

If the length of violin 'l' is inversely proportional to the frequency of vibration 'f', this is expressed as:

l α 1/f

l = k/f

Hence the formula for the inverse variation is l = k/f where k is the constant of variation.

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The probability that exactly 20 random numbers will fall in the interval 0.1 to 0.35 is approximately 0.0223, or 2.23%.

To solve this problem, we need to use the binomial probability formula:
\(P(X = k) = (n choose k)  p^k  ( (1 - p)^{n-k}\)

where:
- X is the random variable representing the number of successes (random numbers in the interval 0.1 to 0.35)
- k is the number of successes we want (exactly 20)
- n is the total number of trials (100)
- p is the probability of success (the probability that a randomly generated number falls in the interval 0.1 to 0.35)

To find p, we need to determine the fraction of the interval 0 to 1 that is between 0.1 and 0.35:
\(p = (0.35 - 0.1) / 1 = 0.25\\p = \frac{0.35-0.1}{1} = 0.25\)

Now we can plug in the values and calculate the probability:

\(P(X = 20) = (100 choose 20) (0.25)^{20}   (1-0.25)^{100-20}\)
= 0.0223

Therefore, the probability that exactly 20 random numbers will fall in the interval 0.1 to 0.35 is approximately 0.0223, or 2.23%.

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