Graph the system of equations on graph paper to answer the question.

{y=14x+3
{y=2x+10

What is the solution for this system of equations?

recall that

1² = 1

1⁴ = 1

1¹⁰⁰⁰⁰⁰⁰⁰⁰⁰ = 1

[tex]\bf \cfrac{d^2-1}{d^2-d}\div \cfrac{d+1}{d-1}\implies \cfrac{d^2-1}{d^2-d}\cdot \cfrac{d-1}{d+1}\implies \cfrac{\stackrel{\stackrel{\textit{difference of}}{\textit{squares}}}{d^2-1^2}}{d(d-1)}\cdot \cfrac{d-1}{d+1} \\\\\\ \cfrac{\begin{matrix} (d+1) (d-1) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}{d~~\begin{matrix} (d-1) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}\cdot \cfrac{d-1}{\begin{matrix} d+1 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} }\implies \cfrac{d-1}{d}[/tex]

Answer:

B The length is 5 inches, the width is 2 inches, and the height is 14 inches.

Step-by-step explanation:

The equation that desribes the volume of a party-favor bag is

[tex]x^3+6x^2-27x-140=0.[/tex]

The solutions of theis equation can be found among divisors of -140. The divisors are:

[tex]\pm1, \pm2, \pm4, \pm5, \pm 7,\pm 10, \pm 14, \pm 20, \pm 35, \pm 70, \pm 140.[/tex]

Note that

[tex]5^3+6\cdot 5^2-27\cdot 5-140=125+150-135-140=275-275=0,[/tex]

so

[tex]x=5[/tex]

is the solution of the equation.

Hence,

the length is 5 inches, the width is 5-3=2 inches and the height is 5+9=14 inches.

Answer:

B. The length is 5 inches, the width is 2 inches, and the height is 14 inches.

Step-by-step explanation:

After calculating the total involuntary deductions for FICA, Federal withholding, and State withholding, we subtract this total from the gross pay to determine the amount available for housing and fixed expenses, which is $2023.63.

To find out how much you are allowed for housing and fixed expenses, we first need to calculate the total involuntary deductions. This is done by applying the given percentages to the gross pay.

For the FICA it would be: $2759.00 * 7.65% = $211.16

Federal withholding would be: $2759.00 * 12% = $331.08

And for the State withholding: $2759.00 * 7% = $193.13

You'll then add all the deductions together: $211.16 + $331.08 + $193.13 = $735.37

The final step is to subtract the total deductions from the gross pay: $2759.00 - $735.37 = $2023.63

Hence, you are allowed $2023.63 for housing and fixed expenses.

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To calculate the amount allowed for housing and fixed expenses, subtract the involuntary deductions from the gross pay which is $2,023.19

To calculate the amount allowed for housing and fixed expenses, we need to subtract the involuntary deductions from the gross pay. First, calculate the FICA deduction by multiplying the gross pay by 7.65% (0.0765). Next, calculate the federal withholding by multiplying the gross pay by 12% (0.12). Finally, calculate the state withholding by multiplying the gross pay by 7% (0.07). Subtract the sum of these deductions from the gross pay to find the amount allowed for housing and fixed expenses.

Gross pay: $2,759.00

FICA deduction: $2,759.00 x 0.0765 = $211.60

Federal withholding: $2,759.00 x 0.12 = $331.08

State withholding: $2,759.00 x 0.07 = $193.13

Amount allowed for housing and fixed expenses:

$2,759.00 - $211.60 - $331.08 - $193.13

= $2,023.19

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Answer:

Part 1) Sin ϴ = 5/13, Cos ϴ = 12/13, Tan ϴ = 5/12

Part 2) Sin A = 4/5, Cos A = 3/5,Tan A = 4/3  

Step-by-step explanation:

we know that

In a right triangle

The function sine of an angle is equal to divide the opposite side to the angle by the hypotenuse

The function cosine of an angle is equal to divide the adjacent side to the angle by the hypotenuse

The function tangent of an angle is equal to divide the opposite side to the angle by the adjacent side to the angle

Part 1)

Find the Sin ϴ

Sin ϴ=5/13

Find the Cos ϴ

Cos ϴ=12/13

Find the Tan ϴ

Tan ϴ=5/12

Part 2) we know that

In the right triangle ABC

Applying the Pythagoras Theorem

Find the hypotenuse AB

[tex]AB^{2}=6^{2}+8^{2}[/tex]

[tex]AB^{2}=100[/tex]

[tex]AB=10\ units[/tex]

Find the Sin A

Sin A=8/10=4/5

Find the Cos A

Cos A=6/10=3/5

Find the Tan A

Tan A=8/6=4/3

Answer:

Question 1: Sin ϴ = 5/13, Cos ϴ = 12/13, Tan ϴ = 5/12

Question 2: Sin A = 4/5, Cos A = 3/5,Tan A = 4/3  

Step-by-step explanation:

Here's proof showing that one of the questions is right. Hope this helps!

Answer:

The predicted GPA is then y = 0.149(15) + 0.89 = 3.125

Step-by-step explanation:

Although you don't specifically say so, the equation you provide here is probably a "best fit" equation based upon data:  GPA versus number of hours of study per week.

Here, y = 0.149x + 0.89 and the number of study hours of interest is 15.

The predicted GPA is then y = 0.149(15) + 0.89 = 3.125

The GPA is 3.125 who studies for 15 hours a week if the line of the best fit is y=0.149x+0.89

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

We have a line of best fit:

y = 0.149x + 0.89

Plug x = 15 hours

y = 0.149(15) + 0.89

y = 3.125

Thus, the GPA is 3.125 who studies for 15 hours a week if the line of the best fit is y=0.149x+0.89

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Answer:

the new pyramid in terms of b and h.

Step-by-step explanation:

the new pyramid

Answer:

90

Step-by-step explanation:

DM=1/4 of MBND

a circle =360

360÷4=90

Answer:

Step-by-step explanation:

The formula for this is

x° = [tex]\frac{1}{2}[/tex](major arc - minor arc)

The measure around the outside of a circle is 360°.  We have the minor arc as 120°.  So the major arc is 360 - 120 = 240.  Fitting that into the formula:

x° = [tex]\frac{1}{2}[/tex](240 - 120)

x° = [tex]\frac{1}{2}[/tex](120)

x° = 60

Answer:

4x + 5

Step-by-step explanation:

x + 4 + 4x - 5 - 3x + 2 + 2x + 4

= 4x + 5

The algebraic expression that represents the total weight of all the suitcases (Anna's and Tamara's) is 6x + 5.

To find the total weight of all the suitcases, we need to add the weights of Anna's four suitcases and Tamara's four suitcases.

Anna's suitcases' weights: x + 4 and 4x - 5

Tamara's suitcases' weights: -3x + 2 and 2x + 4

The total weight can be represented by the algebraic expression:

Total weight = (x + 4) + (4x - 5) + (-3x + 2) + (2x + 4)

Now, let's simplify the expression:

Total weight = x + 4x - 3x + 2x + 4 - 5 + 2 + 4

Total weight = 6x + 5

So, the algebraic expression that represents the total weight of all the suitcases is 6x + 5.

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Answer:

  x = 5

Step-by-step explanation:

The sum of the side lengths shown is ...

  (2x) + (3x +2) + (4x +1) = 9x +3

That is the perimeter of the inscribed triangle. That triangle is similar to triangle ABC by a scale factor of 1:2, so the perimeter of ΔABC is ...

  2(9x +3) = 96 = 18x +6

  90 = 18x . . . . subtract 6

  90/18 = x = 5 . . . . . divide by the coefficient of x

Answer: 29 Hours of Work

Step-by-step explanation: Let's start by working backwards.. We know that Ken makes 5 dollars an hour, and he worked 40 hours. 5 * 40 = 200, and 400-200 = 200. This means that Kim has to work 200/7 hours, or (approximately) 29 hours of work.

Answer:

C

Step-by-step explanation:

From any point (x, y) on the parabola the focus and directrix are equidistant.

Using the distance formula

[tex]\sqrt{(x-4)^2+(y-1)^2}[/tex] = | y - 5 |

Squaring both sides

(x - 4)² + (y - 1)² = (y - 5)² ← distribute the factors in y

(x - 4)² + y² - 2y + 1 = y² - 10y + 25 ( subtract y² - 10y + 25 from both sides )

(x - 4)² + 8y - 24 = 0  ( subtract (x - 4)² from both sides )

8y - 24 = - (x - 4)² ← add 24 to both sides )

8y = - (x - 4)² + 24 ( divide both sides by 8 )

y = - [tex]\frac{1}{8}[/tex] (x - 4)² + 3

Hence

f(x) = - [tex]\frac{1}{8}[/tex] (x - 4)² + 3 → C

Answer:

999

Step-by-step explanation:

Regrouping used to be called borrowing. Since no single column can have a digit larger than 9, then you would have the number 999 where you would never have to "borrow", or "regroup

Final answer:

A three-digit number that requires no ungrouping for subtraction should have each digit greater than the corresponding digit in the number being subtracted. For example, subtracting 234 from 453 requires no ungrouping because each digit in 453 is greater than the corresponding digit in 234.

Explanation:

The student's question pertains to the process of subtraction without requiring ungrouping, also known as regrouping or borrowing, when subtracting from a three-digit number. To avoid ungrouping, the number we subtract from should have each digit larger than the corresponding digit of the number being subtracted. For simplicity, let's consider subtracting a three-digit number of the form XYZ, where X, Y, and Z are individual digits. To ensure there's no need for ungrouping, the number from which we are subtracting should have each place value (hundreds, tens, and ones) greater than or equal to those in XYZ.

For example, if we take the number 453 and subtract 234 from it, no ungrouping is needed because 4 is greater than 2, 5 is greater than 3, and 3 is greater than 4. Hence, any three-digit number with digits greater than those of the subtrahend in the corresponding place values would satisfy the condition of needing no ungrouping to subtract from. By following this rule, the process of subtraction becomes straightforward without the complication of borrowing across place values.

Answer:

X=20Tan(25)

Step-by-step explanation:

So because the cat is looking at the tree it is a strait line making a right triangle with the tree. The cat spots the bird 25 degrees up in the tree making a triangle. Then use SohCahToa, and because u have the adjacent side use Tangent because you are missing the opposite side of the angle. There are a few other ways to find it but that is the simplest way to perform this, GOOD LUCK!

Answer:

30%

Step-by-step explanation:

What your problem is asking basically is how many percent is the withholding of her earnings each week. We just divide what is withheld by the earnings.

[tex]\dfrac{172.50}{575}=0.3[/tex]

Because we need it in percentage, we then multiply it by 100%.

0.30 x 100% = 30%

Answer:

30%

Step-by-step explanation:

Answer:

Fertilizer B produced a 15% greater yield

Step-by-step explanation:

Mean yield fertilizer A = 20.2

Mean yield fertilizer B = 23.2

Thus, 23.2 − 20.2

20.2

= 0.1485 ≈ 0.15 or 15%

Answer : The correct option is, (B) Fertilizer B produced a 15% greater yield

Step-by-step explanation :

First we have to calculate the total yield of potato with fertilizer A.

Total yield of potato with fertilizer A = (27 + 20 + 16 + 18 + 22 + 19 + 23 + 21 + 17 + 19) kg

Total yield of potato with fertilizer A = 202 kg

Now we have to calculate the total yield of potato with fertilizer B.

Total yield of potato with fertilizer B = (28 + 19 + 18 + 21 + 24 + 20 + 25 + 27 + 29 + 21) kg

Total yield of potato with fertilizer B = 232 kg

Now we have to calculate the percent yield.

[tex]\text{Percent yield}=\frac{232-202}{202}\times 100[/tex]

[tex]\text{Percent yield}=14.85\% \approx 15\%[/tex]

From this we conclude that, the fertilizer B produced a 15% greater yield.

Hence, the correct option is, (B) Fertilizer B produced a 15% greater yield

Answer:

AAS

Step-by-step explanation:

Triangle congruence or congruent triangles are defined as triangles that are similar in size and shape. The corresponding sides of the triangle if are equal, then the corresponding angles will be equal.

In the given question, the two angles and non-included sides of one triangle are congruent to the corresponding two angles and sides of the other triangle.

The given congruency explains the AAS congruency theorem.

The AAS theorem can be explained as:

1. AAS stands for Angle-angle-side.

2. It states that for the triangle having two pairs of congruent angles and a non-common side is congruent to the corresponding side and angles, then triangles are said to be congruent.

Thus, the given example shows the AAS congruent theorem.

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The probability would be 50 because 25+25=50

Answer:

[tex]\dfrac{4000\pi}{3}[/tex] ft³

Step-by-step explanation:

First, let's figure out how to get the volume of a sphere from its surface area. If r is the radius of our sphere, then

The formula for a sphere's surface area is [tex]A = 4\pi r^2[/tex]

The formula for a sphere's volume is [tex]V=\frac{4}{3}\pi r^3[/tex]

So to get from area to volume, we have to divide the area by 3 and then multiply it by r. Mathematically:

[tex]V=\frac{A}{3}r[/tex]

Before we solve for V though, we need to find the radius of our sphere. Thankfully, we're given the surface area - [tex]400\pi[/tex] ft² - so we can use the area formula to find that radius:

[tex]A=4\pi r^2=400\pi\\r^2=100\\r=10[/tex]

And now that we have our radius, we can put it into our volume formula to find

[tex]V=\frac{A}{3} r=\frac{400\pi}{3}(10)=\frac{4000\pi}{3}[/tex] ft³

Answer:

Last Option moved [tex]\frac{\pi}{2}[/tex] units right

Step-by-step explanation:

If we have a function f(x) and we want to move it horizontally then we make the transformation:

[tex]y = f (x + h)[/tex]

If [tex]h <0[/tex] then the graph of f(x) moves horizontally h units to the right

If [tex]h> 0[/tex] then the graph of f(x) moves horizontally h units to the left.

In this case we have the function [tex]y = tan (x)[/tex] and the transformation is performed to obtain [tex]y = tan(x- \frac{\pi}{2})[/tex]

Notice that in this transformation

[tex]h <0 = -\frac{\pi}{2}[/tex]

Then the graph of [tex]y = tan (x)[/tex] moves horizontally [tex]\frac{\pi}{2}[/tex] to the right

The graph of y = tan ⁡(x − π / 2) has moved π / 2 units right compared to y = tan ⁡x.

The graph of y = tan ⁡(x − π / 2) compared to the graph of y = tan ⁡x has moved π / 2 units right.

The function y = tan ⁡(x − π / 2) is obtained by shifting the graph of y = tan ⁡x horizontally to the right by π / 2 units. The minus sign in (x − π / 2) indicates a rightward shift.

So, the correct answer is that the graph of y = tan ⁡(x − π / 2) has moved π / 2 units right.

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Answer:

$11,250

Step-by-step explanation:

Yvonne earns a fixed amount of $1,850 per month and want to earn $2,300. The difference is

[tex]\$2,300-\$1,850=\$450.[/tex]

This difference is her commission. If she earns the commission of 4% on the amount of goods that she sells, then

$x - 100%

$450 - 4%

Make a proportion:

[tex]\dfrac{x}{450}=\dfrac{100}{4}\Rightarrow 4x=45,000\\ \\x=\dfrac{45,000}{4}\\ \\x=\$11,250[/tex]

Yvonne must sell $11,250

Answer:

FG=13

Step-by-step explanation:

We can make an equation that looks like this:

EF+FG=EG

Then, we can substitute in the numbers we know:

12+FG=25

Then solve:

FG=25-12

FG=13

Hope I helped soz if I'm wrong ouo.

~Potato.

Copyright Potato 2019.

Trademark ~Potato. 2019.

Answer:

FG = 13

Step-by-step explanation:

We can write

EF + FG = EG ← substitute values

12 + FG = 25 ( subtract 12 from both sides )

FG = 25 - 12 = 13

Answer:

It's D.

Step-by-step explanation:

That would be D.

-24 + 24 = 0.

Answer:

The correct option is D) The distance above sea level after increasing 24 m after depth of 24 m below sea level.

Step-by-step explanation:

Consider the provided information.

We need to find Which situation results in the final value of zero.

Option A) E the temperature after a decrease of 5°F from a temperature of -5°F.

Decreasing means we need to subtract 5°F from the existing temperature.

E=-5°F-5°F=-10°F

Hence, now the temperature is -10°F.

Therefore, it is not the correct option.

Option B) The height of an airplane after taking off from ground level and rising 1000 feet.

If the airplane was at the ground level then we consider the height of the airplane was 0 feet above the ground.

After taking off it is rising 1000 feet above the ground level that means the overall rising is 1000 feet.

Therefore, it is not the correct option. As final value is not 0.

Option C) See the amount of money received and change after making a $10 purchase with the $20 bill.

If you purchase something which cost you $10 and you are purchasing it with the $20 bill.

The money you will received is: $20-$10=$10

Which is not 0.

Therefore, it is not the correct option.

Option D) The distance above sea level after increasing 24 m after depth of 24 m below sea level.

The previous position of the object was 24 m below sea level

It can be written as -24m as the distance is below sea level.

Now the object Increasing 24 m, therefore,

-24+24=0

Hence, the final value is zero.

Therefore, the correct option is D) The distance above sea level after increasing 24 m after depth of 24 m below sea level.

Answer:

The solution to this system is (-2,1)

Step-by-step explanation:

The given system of equations is;

[tex]-3x-4y=2[/tex]...eqn1

and

[tex]-5=5x+5y[/tex]....eqn2

We make y the subject of the second equation to get:

[tex]-5y=5x+5[/tex]

[tex]\implies y=-x-1[/tex]...eqn3

We put eqn3 into eqn1 to get;

[tex]-3x-4(-x-1)=2[/tex]

We expand to get:

[tex]-3x+4x+4=2[/tex]

[tex]-3x+4x=2-4[/tex]

Simplify both sides to get:

[tex]x=-2[/tex]

Put x=-2 into eqn3

[tex]\implies y=--2-1[/tex]

[tex]\implies y=1[/tex]

The solution to this system is therefore (-2,1)

Answer:

for the first question it would be A. 4+8+16+32 because infinite series are such as :

9,18,36,72,144,288

10,20,40,80,160,

so basically its multiplying *2

I cant do #2 without seeing the formula

Answer:

I need to know the data to answer the question

Step-by-step explanation:

Adding a score of 0 to your data will lower both the mean and median, and could potentially increase the standard deviation and affect the percentile rankings.

Adding a score of 0 to your data set will affect both the mean (average) and the median (middle value) of the scores.  Thus, adding a zero will decrease the mean. The median is the middle score when all the scores are arranged in order. If you add a score that is lower than the current median score, the median will either stay the same or decrease, depending on the number of scores. If the number of scores is odd, the median will remain the same, if the number is even, the median will decrease.

The standard deviation is a measure of the variability or dispersion of a set of scores. If all values are the same, the standard deviation is zero. The standard deviation is small when the scores are close to the mean and larger when the scores vary more from the mean. Adding a score of zero could increase the standard deviation, depending on the other scores.

The percentiles in your data represent the value below which a given percent of data falls. Adding a score of 0 could potentially affect the percentile rankings of the other scores.

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ANSWER

[tex]y = \frac{1}{3} \cos(x) - 2[/tex]

EXPLANATION

If the graph of y=cos⁡x is transformed to y=a cos ⁡(x−c)+d by a vertical compression by a factor of 1/3 and a translation 2 units down,

then

a=1/3

and d=-2.

The 'c' is a phase shift since it is not given, it means it is zero.

Therefore the new equation is:

y=1/3cos⁡(x-0)−2

This simplifies to:

y=1/3cos⁡x−2

The correct option is C.

Answer:

The new equation is y = 1/3 cos(x) - 2 ⇒ 3rd answer

Step-by-step explanation:

* Lets revise the trigonometry transformation

- If the equation is y = a cos(x - c) + d

# a is the scale factor of a vertical stretch or compression  

# c is the phase shift  (negative is to the right, positive is to the left)

# d is the vertical shift

- If y = cos(x)

∴ a = 1 , c = 0 , d = 0

* Now lets solve the problem

∵ There is a vertical compression by a factor of 1/3

∴ a = 1/3

∵ There is a translation 2 units down (vertical translation)

∴ d = -2

∵ There is now phase shift (horizontal translation)

∴ c = 0

* Now lets write the new equation

∴ y = 1/3 cos(x) - 2

* For more understand look to the attached color graph

- The red is y = cos(x)

- The blue is y = 1/3 cos(x) - 2

Answer:

A) y = sin(x) +1

Step-by-step explanation:

The centerline of the function is at +1, so choices B and D are eliminated.

The function value is at the centerline at x=0, so choice C is eliminated.

The appropriate choice is A:

y = sin(x) +1

Answer:

Step-by-step explanation:

Given is a graph whichis symmetrical about y =1 and periodical with period 2pi

Amplitude is 1

Since amplitude is 1,

sinx has coefficient 1

Since symmetrical about y =1

we have[tex]y=sinx +1[/tex]

There is no horizontal shift and also x has coefficient 1 since period = 2pi

In other words, this graph given is obtained as a transformation of y=sinx vertically up by 1 units.

Hence equation would be

y=sinx +1

Answer:

The answer is -4.

Step-by-step explanation:

-5(3n+4)=40

-15n -  20 = 40

15n = 60

-4.

False

As indicated in Figure A below, Plane S contains only point B (remarked in red). Point E (remarked in blue) lies on plane R.

True

As indicated in Figure B below, the line containing points A and B lies entirely in plane T. That line has been remarked in red and it is obvious that lies on plane T.

False

As indicated in Figure C below, line v intersects lines x and y, but line x in intersected at point B while line y (remarked in red) is intersected at point A (remarked in blue), and they are two different points, not the same.

True

As indicated in Figure D below, line z that has been remarked in yellow, intersects plane S at point C that has been remarked in blue.

True

As indicated in Figure E below, planes R and T intersect at line y. The line of intersection has been remarked in red.