Solve the equation by using the graph of the related function. Check your solution.

2x 3=3

Answer:

$11.70

Step-by-step explanation:

117 - 45% ( Art & Music ) = 64.35

117-64.35 = 52.65

64.35-52.65 = 11.70

Answer:

its c ! just took the test :)

Option C is correct. The equation that matches the function shown in the graph is expressed as y = 3sin(x-π)

The general formula for a sine function is expressed as;

y = Asin(x+Ф)

A is the amplitude i.e the maximum point on the curve. From the diagram, we can see that the maximum point is at 3 (factor 3 elongates the curve).

A = 3

Also, since the graph translates to the right by π, hence Ф = -π

Substituting the resulting values into the formula, we will have;

y =3sin(x+ (-π))

y = 3sin(x-π)

Hence the equation that matches the function shown in the graph is expressed as y = 3sin(x-π)

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The focus of the parabola is at the point (0, 2).

A parabola's focus can be found on the side of the concavity, at the same distance from the vertex as from the directrix, and at the same distance from the vertex to the parabola's centre of gravity.

This is actually a great geometrical characteristic of the parabola and the way it may be built using its definition. all those lane sites whose distance from the directrix to the focus is equal.

Then, the focus must be at a distance of two units from the vertex, (0,0),  in line with the parabola's axis of symmetry (x=0), and on the positive side of the y-axis (notice the directrix is on the negative side of the y-axis.

So, the focus of this parabola at the point (0, 2).

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The correct answer would be D. 1 1/4

Answer:

thirteen sixteenths

Answer:

4/-18 or 2/-9

Step-by-step explanation:

The slope of a straight line is a number that indicates how steep the line is. You can calculate the slope of a line by dividing the vertical change, called the rise, by the horizontal change, called the run, between two distinct points on the line.

Slope = change in y divided by change in x or rise divided by run

6 - 2 = 4

-12 - 6 = -18

Answer would be 4/-18

Answer:

x=122/3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6(x+1)(3)−10=740

18x+18+−10=740(Distribute)

(18x)+(18+−10)=740(Combine Like Terms)

18x+8=740

18x+8=740

Step 2: Subtract 8 from both sides.

18x+8−8=740−8

18x=732

Step 3: Divide both sides by 18.

18x

18

=

732

18

x=

122

3

Answer:

x= 122/3

Answer:

\(y = -\frac{1}{4}x +2\)

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope formula: \(\frac{y2-y1}{x2-x1}\)

Given points: (-4, 3), (0, 2)

(0, 2) = (x1, y1)

(-4, 3) = (x2, y2)

To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.

First, let's find the slope. To do this, input the given points into the formula used to find slope:

\(\frac{3-2}{-4-0}\)

Simplify:

3 - 2 = 1

-4 - 0 = -4

\(\frac{1}{-4}= -\frac{1}{4}\)

The slope is \(-\frac{1}{4}\).

To find the y-intercept, input the slope and one of the given points(in this example I'll use point (0, 2)) into the equation and solve for b:

\(2 = -\frac{1}{4} (0)+b\)

2 = 0 + b

2 = b

The y-intercept is 2.

Now that we know the slope and the y-intercept, we can write the equation:

\(y = -\frac{1}{4}x +2\)

Answer:

Step-by-step explanation:

16). The relation is a function.

17). The relation is a function.

Answer:

Option B.

Step-by-step explanation:

The graph attached shows the amount of Michael's paycheck based on 40 hour wok along with commission from the sales.

There are two variables plotted on the graph.

On x-axis → Amount of sales

On y-axis → Amount of paycheck he received

Point (0, 100) shows the y-intercept.

Since, y-coordinates show the amount of paycheck, y-intercept will show the amount ($100) at zero sales.

Therefore, Option B will be the correct option.

Answer:

sorry I am late, but here is the answer! Really helpful for k12 students! Hope this helps!

The surface area of the rectangular pyramid is approximately 567.9 in².

What is rectangular pyramid?

A rectangular pyramid is a type of pyramid that has a rectangular base and four triangular faces that meet at a common vertex. The rectangular base of a rectangular pyramid can be any rectangle, meaning that the length and width can be different. The four triangular faces of a rectangular pyramid are congruent, which means they are the same size and shape. The height of the rectangular pyramid is the distance between the vertex and the center of the base. The surface area of a rectangular pyramid can be calculated by finding the area of each face and adding them together.

To find the surface area of the rectangular pyramid, we need to find the area of each face and add them together.

First, let's find the area of the rectangular base:

Area of base = length x width = 13 in x 17 in = 221 in²

Next, let's find the area of the larger triangular faces:

Area of each larger triangular face = (1/2) x base x height = (1/2) x 17 in x 11 in = 93.5 in²

Total area of both larger triangular faces = 2 x 93.5 in² = 187 in²

Finally, let's find the area of the smaller triangular face:

Area of smaller triangular face = (1/2) x base x height = (1/2) x 13 in x 12.3 in = 79.95 in²

Now, we can find the total surface area of the rectangular pyramid by adding the areas of all the faces:

Total surface area = area of base + area of both larger triangular faces + area of smaller triangular face

Total surface area = 221 in² + 187 in² + 79.95 in²

Total surface area = 488.95 in²

Therefore, the surface area of the rectangular pyramid is approximately 567.9 in².

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The integral ∫10x^p * ln(x) dx converges for all values of p except p = -1.

To determine the values of p for which the integral ∫10x^p * ln(x) dx converges, we need to consider the convergence of the integrand for different values of p. The integral will converge if the integrand is well-behaved and does not exhibit any divergence.

Let's analyze the integrand in two separate cases:

Case 1: p ≠ -1

When p ≠ -1, the integrand is well-defined for all x > 0. We can proceed with evaluating the integral.

∫10x^p * ln(x) dx = [x^(p+1) * ln(x)] / (p+1) + C

To calculate the value of the integral for a specific value of p, we can substitute the limits of integration into the antiderivative expression and evaluate the resulting expression.

Case 2: p = -1

When p = -1, the integrand becomes 10x^(-1) * ln(x), which poses a potential issue at x = 0. To determine if the integral converges for this case, we need to examine the behavior of the integrand near x = 0.

As x approaches 0, the expression ln(x) approaches negative infinity, which would cause the integrand to diverge. Therefore, for p = -1, the integral does not converge.

In summary, the integral ∫10x^p * ln(x) dx converges for all values of p except p = -1.

Please note that when evaluating the definite integral for specific limits of integration, you should substitute the limits into the antiderivative expression and then calculate the difference of the resulting expressions evaluated at the upper and lower limits.

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Answer:

56 is already in the simplest form. It can be written as 0.833333 in decimal form (rounded to 6 decimal places).

Step-by-step explanation:

(a) Potential on the opposite sides of the positive and negative plates is 8475 V and -8475 V, respectively. (b). 772 m/s is the speed at which the positive plate will be struck.

A more technical or sophisticated phrase, velocity, is occasionally used interchangeably with speed to refer to extremely high rates of linear or circular speed, such as the velocity of a bullet.

a). Positivplate should be on the right and negativeplate should be on the left.

Potential equals zero at the center of the plates.

Electric field between it plates: 30e⁻⁶/8.85e⁻¹² (338 V/m) = sigma/e0

Potential is equal to 3389830x, where x is the distance in meters from the center of the plates.

Where x is the distance in meters from the center of the plates, the potential to the left of either the middle point equals -3389830x.

Potential outside of the positive plate is equal to 3389830*0.005/2, or 8475 V.

The potential is -8475 V on the contrary side of the negative plate.

Potential between it plates is equal to -8474 + 3389830x, where x is the distance in meters from the negative plates.

b). Electron energy at the positive plate is equal to [8475 - -8475]. eV = 2*8475*1.6e⁻¹⁹ = 2.712*10⁻¹⁵ J

Speed = sqrt(2E/m) = sqrt(2*2.712e-15/9.1e⁻³¹) = 772 meters per second.

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Answer:

49 feet

Step-by-step explanation:

We solve for this using proportion

Height of Jack's house = ?? = Y

Length of the shadow of Jack's house = 56 feet

Height of a tree = 21 feet

Length of the shadow of the tree = 24 feet

Height of Jack's house/ Shadow of Jack's house = Height of a tree/ Shadow of the tree

Y/56 = 21/24

Cross Multiply

24 × Y = 56 × 21

Y = 56 × 21/24

Y = 1176/24

Y = 49 feet

Therefore, the height of Jack's house is 49 feet

variety of statistics for 1057 inernet users are  = (0.9180, 0.8998)  solve by given question .

population proportion is the share of a population that belongs to a particular category. Confidence intervals are used to estimate population proportions.

Let p be the population proportion of respondents who say the Internet has been a good thing for them personally.

=p +- z*\(\sqrt{p*(1-p)/n}\)

where z* = Critical value p = Sample proportion,n = sample size.

As per given , we have

n= 1057 By z-table , Critical value for 95% confidence interval : z*= 1.96

Then, the 95% confidence interval for the proportion of respondents who say the Internet has been a good thing for them personally. will be :

=p +- z*\(\sqrt{p*(1-p)/n}\)

=0.9+-1.96\(\sqrt{.9*(1-.9)/1057}\)

=0.9180, .8998

Hence, the required 95% confidence interval for the proportion of respondents who say the Internet has been a good thing for them personally = (=0.918, .881)

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Answer:

AA criterion

a/x = c/a

a² = cx

b/(c - x) =c/b

b² = c(c - x)

a² + b² =cx + c(c - x) = c²

a² + b² = c²

Step-by-step explanation:

The difference in perimeter between Rory's castle and Mike's castle is 16 feet. Rory's castle has a perimeter of 52 feet (10 feet + 10 feet + 16 feet + 16 feet), and Mike's castle has a perimeter of 24 feet (6 feet + 6 feet + 6 feet + 6 feet).

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The difference between the perimeters of these two castles is 28 ft.

Rory’s castle measures 10 feet by 16 feet and has a perimeter of 52 ft and Mike’s castle is 6 feet by 6 feet. Now, we are going to find the difference between the perimeters of these two castles.

The perimeter of a rectangle can be found by adding all the sides of a rectangle. Therefore, the formula of the perimeter of a rectangle is:

Perimeter of a rectangle = 2 × (Length + Breadth)

Length of Rory’s castle = 16 ft,       Breadth of Rory’s castle = 10 ft

Perimeter of Rory’s castle = 2 × (Length + Breadth) = 2 × (16 + 10) ft

= 2 × 26 ft= 52 ft

Therefore, the perimeter of Rory’s castle is 52 ft.

Length of Mike’s castle = 6 ft,         Breadth of Mike’s castle = 6 ft

Perimeter of Mike’s castle = 2 × (Length + Breadth) = 2 × (6 + 6) ft

= 2 × 12 ft = 24 ft

Therefore, the perimeter of Mike’s castle is 24 ft.

.Difference between the perimeters of these two castles= Perimeter of Rory’s castle − Perimeter of Mike’s castle

= 52 − 24= 28 ft

Therefore, the difference between the perimeters of these two castles is 28 ft.

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The answer is 10.

Step-by-step explanation:

I have the same question on some tests of mine

Step-by-step explanation:

15+10z=105

10z=105-15

10z=90

z=9

The gallons of gas that Aubrey would need to travel 111.54 miles is 7.8 gallons.

In Mathematics, a direct proportion simply refers to a mathematical equation which is typically used to represent the equality of two (2) ratios.

By applying direct proportion to the given information, we have the following mathematical equation:

15 gallons of gasoline = 214.5 miles

X gallons of gasoline = 111.54 miles

By cross-multiplying, we have the following:

214.5x = 15 × 111.54

x = 1,673.1/214.5

x = 7.8 gallons of gasoline.

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Answer:

1=15?

Step-by-step explanation:

5*4=15 becuz lower angle=top 1 angle and stuff i hope this helps. im just a helpless 6th grader :)

Answer:

0.2515384615

Step-by-step explanation:

she makes 5/13

5/13*0.654

Answer:

it a poster what do you need help with

Step-by-step explanation:

this is the exact poster or flyer

Answer:

x=18 y=69

Step-by-step explanation:

3x+5y=399

x+5y=363

2x=36

x=18

18+5y=363

5y=345

y=69

Answer:

x= -7

Step-by-step explanation:

-3x -5 = 16

     +5   +5

-3x = 21

divide by negative three on both sides to get your answer

Answer:

Step-by-step explanation:

3x (4x – 5) + 3

3x (4x – 5) + 3 = (3x × 4x) – (3x × 5) + 3

3x (4x – 5) + 3 = 12x2 – 15x + 3

Substitute the value of (i) x = 3 in 12x2 – 15x + 3

12x2 – 15x + 3

Put x = 3

⇒ 12 × (32) – (15 × 3) + 3

⇒ 12 × 9 – 45 + 3

⇒ 108 – 45 + 3

⇒ 66

Substitute the value of (ii) x =1/2 in 12x2 – 15x + 3

12x2 – 15x + 3

Put = 1/2

⇒ 12 × (1/2)2 – (15 × 1/2) + 3

⇒ 12 × 1/4 – (15 × 1/2) + 3

⇒ 3 – 15/2 + 3

⇒ 6 – 15/2

⇒ (12 – 15)/2

⇒ -3/2

The amount of vanilla extract is equal to 144.3 fluid ounces, which is more than half a gallon of vanilla extract. Therefore, Dr. Silva uses more than half a gallon of vanilla extract in a year.

Find how much vanilla extract Dr. Silva uses per week. During the weekends, Dr. Silva bakes 2-3 recipes and each recipe uses 3 teaspoons of vanilla extract.

Find how much vanilla extract Dr. Silva uses per year. There are 52 weeks in a year, so Dr. Silva uses 16.65 teaspoons × 52 = 865.8 teaspoons of vanilla extract per year. Therefore, the amount of vanilla extract Dr. Silva

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