The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1. On a coordinate plane, a parabola, labeled f of x, opens up. It goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). Which graph represents g(x)? On a coordinate plane, a parabola opens up. It goes through (2, 10), has a vertex at (5, 1), and goes through (8, 10). On a coordinate plane, a parabola opens up. It goes through (2, 8), has a vertex at (5, negative 11), and goes through (8, 8). On a coordinate plane, a parabola opens up. It goes through (negative 8, 10), has a vertex at (negative 5, 1), and goes through (negative 2, 10). On a coordinate plane, a parabola opens up. It goes through (negative 8, 8), has a vertex at (negative 5, negative 11), and goes through (negative 2, 8). Mark this and return

Each one of the smaller angles  x = 120 degrees and the larger angle = 2x = 2 × 120 = 240 degrees

The angle of an octagon can be found as follows;

An octagon is a polygon that has 8 sides.

The sum of angles in an octagon is 1080 degrees.

Therefore,

x + x + x + x + x + x + x + 2x = 1080

Hence,

9x = 1080

divide both sides by 9

x = 1080 / 9

x = 120

Therefore, each one of the smaller angles  x = 120 degrees and the larger angle = 2x = 2 × 120 = 240 degrees

learn more on octagon here:https://brainly.com/question/8517157

#SPJ1

Considering right-angled triangle XYW, an approximate ratio WY/WX is equal to: A. 0.34.

Considering right-angled triangle XYW, we would apply the law of cosine to approximate the ratio WY/WX. Mathematically, the law of cosine is given by:

cos(θ) = Adj/Hyp

Where:

Substituting the given parameters into the formula, we have;

cos(θ) = WY/WX

cos(70) = 3.4/10

0.34 = 0.34.

Read more on triangle ratio here: https://brainly.com/question/26060091

#SPJ1

Complete Question:

Right triangles 1-2 and 3 are given with all their angle measures and approximate side lengths.

Use one of the triangles to approximate the ratio WY/WX

A. 0.34

B. 0.94

C. 1.06

D. 2.76​

Answer:

slope: undefined

equation: x = p

y-intercept: there is none

slope of perpendicular: 0

Step-by-step explanation:

points: (p, a), (p, -a)

slope = (-a - a)/(p - p) = -2a/0

The slope is undefined since the line is vertical.

equation: x = p

Since p ≠ 0, the vertical crosses the x-axis at a point that is not x = 0 and never intersects the y-axis, so the is no y-intercept.

A line perpendicular to he given line is a horizontal line.

slope = 0

A parallelogram is a quadrilateral in which opposite sides are equal, and the opposite angles sum up [tex]180^{o}[/tex]. Thus, the measures of the two different angles in the question are 70° and 110° i.e option D.

A parallelogram is a quadrilateral in which opposite sides are equal, and the opposite angles sum up [tex]180^{o}[/tex]. It has four straight sides and can be classified as a quadrilateral.

Thus from the given question, we have:

(6n − 70)° + (2n + 10)° =  [tex]180^{o}[/tex]

8n - 60 =  [tex]180^{o}[/tex]

8n =  [tex]180^{o}[/tex] + 60

8n = 240

n = [tex]\frac{240}{8}[/tex]

  = [tex]30^{o}[/tex]

n = [tex]30^{o}[/tex]

So that,

i. (6n − 70)° = (6[30] − 70)°

                = 180 - 70

                = [tex]110^{o}[/tex]

ii. (2n + 10)° = (2[30] + 10)°

                  = 60 + 10

                  = [tex]70^{o}[/tex]

Therefore, the measures of the two different angles are 70° and 110°. Option D.

For more clarifications on angles in a parallelogram, visit: https://brainly.com/question/28001957

#SPJ1

Answer:

b, 50° and 130°

Step-by-step explanation:

edge 2023 :)

^ that shi sucks btw we needa boycott the program or smt

The value of sin(∝) is -√56/15

The given parameter is:

cos(∝) = -13/15

To determine the sine, we use the following identity

sin^2(∝) = 1 - cos^2(∝)

So, we have:

sin^2(∝) = 1 - (-13/15)^2

This gives

sin^2(∝) = 1 - 169/225

Evaluate the difference

sin^2(∝) = 56/225

Take the square root of both sides

sin(∝) = ±√56/15

sin(∝) is negative in quadrant III.

So, we have:

sin(∝) = -√56/15

Hence, the value of sin(∝) is -√56/15

Read more about trigonometry function at:

https://brainly.com/question/6904750

#SPJ1

1a) 256/9

2a) 0.0048

3a) 0.64

4a) 2/5

5a) 4.6875

1b) 125/343

2b) 32/3125

3b) 0.003125

4b) 48.875

5b) 1.39

Whew! Hope this helps :)

The population mean is symbolized as μ. The sample mean is symbolized M.

A population in statistics, is a the total number of people of a group that shares similar characteristics that are of interest to a researcher. Example of population a researcher can understudy include:

A sample is a subset of a population, which is drawn using any sampling technique. An example of a sample is 100 randomly selected persons who patronize a shopping mall.

The population mean can be defined as the average data value of a particular group characteristics that is measured by the researcher. The symbol for population mean is: μ.

The sample mean can be defined as the average data value of the sub-group of an entire population that having characteristics that are of interest to a researcher. The symbol for sample mean is: M.

In summary, the population mean is symbolized as μ. The sample mean is symbolized M.

Learn more about the population and sample mean on:

https://brainly.com/question/15020296

#SPJ1

Substitute -6 in a and -5 in b

5(-6) + 5(-5)

-30+(-25)

=-55

Hope it helps!

Answer:

-55

5x-6 = -30

5 x -5 = -25

-25 + -30 = -55

Step-by-step explanation:

hope this helps

Answer:

  a) payment: $1677.99

  b) total repaid: $604,076.40

  c) saved: $168,231.60

Step-by-step explanation:

The amortization formula can be used to find the monthly payment on the loan. The total repaid will be the sum of payments made. The amount saved will be the difference between the total repaid amounts for the different loans.

The payment A on a loan of principal P at annual rate r for t years is given by ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

The loan of interest is for $425,000 × (1 -30%) = $297,500. Then the payments on a 30 year loan are ...

  A = $297,500(0.0544/12)/(1 -(1 +0.0544/12)^-360) ≈ $1677.99

For a 15-year loan, the payments are ...

  A = $297,500(0.0544/12)/(1 -(1 +0.0544/12)^-180) ≈ $2421.36

The above calculation shows the monthly payment is $1677.99.

The total repaid is the sum of 360 monthly payments:

  360×$1677.99 = $604,076.40

The total repaid is the sum of 180 monthly payments:

  180×$2421.36 = $435,844.80

and the savings is ...

  $604,076.40 -435,844.80 = $168,231.60

__

Additional comment

We are asked to round to the nearest cent. The payment amounts here are accurately calculated to that precision. The total repaid on an actual loan will be slightly different, because the final payment will be slightly different.

The 30-year mortgage will have a slightly lower final payment because the monthly amount is rounded up. The 15-year mortgage will have a slightly higher final payment because the monthly amount is rounded down.

Overall, this means the totals of payments shown here, and their difference, vary slightly from the reality of loans of this kind. (They're probably not accurate to the nearest cent.)

Even using the "exact" payment value may not give the actual loan values. This is because the actual amortization schedule is rounded to the nearest cent each month. The cumulative effect of this rounding seems to be calculable only by figuring the 360 (or 180) actual monthly balance amounts.

We have calculated the answers in the manner we suppose is expected. Producing an actual amortization spreadsheet is a bit more work.

The measure for the unknown angle is 65 degrees.

The two perpendicular lines form a right angle. A right angle would always have a value of 90 degrees.

In order to determine the unknown angle, subtract 25 degrees from 90 degrees.

90 - 25 = 65 degrees

To learn more about angles, please check: https://brainly.com/question/2766460

#SPJ1

The area covered by the advertisement on the page is [tex]ab \ unit^2[/tex].

The area of a rectangle covers is the space it takes up inside the boundaries of its four sides. The dimensions of a rectangle determine its area. In general, the area of a rectangle is equal to the product of its length and breadth of the rectangle.

The formula of area of rectangle is [tex]length \times breadth[/tex] [tex]unit^2[/tex]

let the given page represents a rectangle.

We take the length of the advertisement is [tex]a[/tex] unit and breadth of the advertisement is [tex]b[/tex] unit.

The area of the advertisement [tex]=a \times b \ unit^2[/tex]

                                                   [tex]=ab \ unit^2[/tex]

Therefore, the area covered by the advertisement on the page is [tex]ab \ unit^2[/tex]

To learn more about area of a rectangle from the below link

https://brainly.com/question/25292087

#SPJ4

Answer:

1. 5.46 inches

2. 111% rounded to the nearest percent

3. 85.9 tons

4. 367.2 ft.

5. 49 percent

6. 466.7 inches

Step-by-step explanation:

1. .28 x 19.5

2. 97 = 87x  Divide both sides by 87

1.11 = x  This gives our answer as a decimal.  Move the decimal 2 places to the right to make a percent. 111%

3. 146 = 1.7x  to change a percent to a decimal move the decimal to places to the left.  Divide both sides by 1.7 and round

x = 85.9

4. (2.7) 136 = x

367.2 = x

5. x123 = 60  Divide both sides by 123

x = 0.4878  Move the decimal two places to the right and round to make a percent. 48.8

6. .12x = 56  Divide both sides by .12

x = 466.7

The next step Javier needs to take in order to evaluate the expression is to simplify it to it's lowest term. Details below

From the question given, we were told that Javier submitted 2 for a

Thus, the new expression becomes

2 × 2³ - 1

Recall

Aⁿ × Aᵐ = Aⁿ⁺ᵐ

Thus,

2 × 2³ = 2¹⁺³ = 2⁴

Therefore,

2 × 2³ - 1 = 2⁴ - 1

But

2⁴ = 16

Thus,

2⁴ - 1 = 16 - 1

2⁴ - 1 = 15

Therefore,

2 × 2³ - 1 = 15

Learn more about algebra:

https://brainly.com/question/953809

#SPJ1

More likely -You are more likely to commit a Type I error

According to statement

we have to find the type 1 error by using the significant levels.

we are commit a MORE LIKELY to find the error by rejecting a true null hypothesis using the 0.05 level of significance than using the 0.01 level of significance.

So, More likely -You are more likely to commit a Type I error

Learn more about HYPOTHESIS here https://brainly.com/question/11555274

#SPJ4

There is no association between the chicken preferences and rice preferences. Option C

There is an association between two variables when they both decrease or increase simultaneously. In many cases, the association between the variables can be shown using the correlation coefficient when the relationship is plotted on Cartesian coordinates.

If we look at the table, we can see that there is no association between the chicken preferences and rice preferences because because the proportion of chicken and rice eaters to all chicken eaters is lower than all rice eaters to all eaters; and because the proportion of chicken and rice eaters to all rice eaters is lower than all chicken eaters to all eaters.

Learn more about association:https://brainly.com/question/12782981

#SPJ1

Using volume of ball bearings, a manufacturer makes 10 ball bearings from 5.2 cm³ of molten steel to make ball bearings that each have a diameter of 1 centimeter.

According to the question,

It takes 5.24 cubic centimeters of molten steel to make ball bearings that each have a diameter of 1 centimeter.

Radius = 1/2 = 0.5 cm

volume V of one ball bearing is: V=(4/3)*π*r³

= 4/3 * π * (0.5)³

=0.524 cm³

In order to find number of ball bearings out of molten steel only if we divide the volume of steel by the volume of the ball bearing

5.24/0.524=10.

Hence, using volume of ball bearings, a manufacturer makes 10 ball bearings from 5.2 cm³ of molten steel to make ball bearings that each have a diameter of 1 centimeter.

Learn more about volume here

https://brainly.com/question/23270880

#SPJ4

Using proportions, it is found that the coordinates of point B are given as follows:

A. (1.6, 0).

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Point B is 3/4 of the way from AB to AC, hence:

[tex]B - A = \frac{3}{4}(C - A)[/tex]

The points are:

Then, to find the x-coordinate:

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

x + 2 = 3.6.

x = 1.6.

For the y-coordinate:

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

y + 3 = 3

y = 0.

Hence option A is correct.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer: 10

Step-by-step explanation:

If [tex]-5 < x < 5[/tex], then [tex]|x-5|=5-x[/tex] and [tex]|x+5|=x+5[/tex].

So, the expression is equal to 10.

Answer:

137

Step-by-step explanation:

VYXW is a parallelogram.

The opposite angles of a parallelogram are congruent, meaning their angle measurements are equal.

Following this information we can write an equation to find the value of x:

10x - 27 = 2x + 29 transfer like terms to the same side of the equation

10x - 2x = 29 + 27 add/subtract

8x = 56 divide both sides by 8

x = 7 replace x with 7 to find the given angle measures

now, the consecutive angles in a parallelogram are supplementary meaning their sum is equal to 180

m<V + m<W = 180

m<V + 2*7 + 29 = 180

m<V + 43 = 180 subtract 43 from both sides

m<V = 137

Answer:

See below

Step-by-step explanation:

I am not sure about number 22.  I think that they are asking you to apply the same rules to the point (4, -7), if that is what they mean, the answer is (8,10)

Answer:

10%.

Step-by-step explanation:

There are a total of 40 numbers.

Number of permutations of 3 numbers from 40

= 40 P 3

= 40! / (40-3)!

= 59,280.

The total of even numbers is (38 - 2) / 2 + 1 = 19.

Number of permutations of 3

=  19P 3

=  5814

So Prob(all even) = 5814/59280

= 0.098077

= 9.8%

= 10% to nearest whole number.

Answer:

Step-by-step explanation:

for the first one, it is x=2

for the second one, it is x=9

Answer:

[tex]x = \frac{n}{b - {t}^{2} } [/tex]

Step-by-step explanation:

I supposed that is a "n".

Steps as below:

[tex] {t}^{2} = b - \frac{n}{x} \\ b - \frac{n}{x} = {t}^{2} \\ - \frac{n}{x} = {t}^{2} - b \\ \frac{n}{x} = - ( {t}^{2} - b) \\ \frac{n}{x} = b - {t}^{2} \\ n = x(b - {t}^{2} ) \\ x(b - {t}^{2} ) = n \\ x = \frac{n}{b - {t}^{2} } [/tex]

Answer:

[tex]x = \frac{h}{b-t^2}[/tex]

Step-by-step explanation:

[tex]t^2 = b - \frac{h}{x}[/tex]

• First add  [tex]\frac{h}{x}[/tex]  to both sides:

⇒ [tex]\frac{h}{x} + t^2 = b[/tex]

• Now subtract  [tex]t^2[/tex]  from both sides:

⇒ [tex]\frac{h}{x} = b - t^2[/tex]

• Now multiply both sides by [tex]x[/tex] :

⇒ [tex]h = x(b - t^2)[/tex]

• Next divide both sides by  [tex](b - t^2)[/tex] :

⇒ [tex]\frac{h}{b-t^2} = x[/tex]

∴  [tex]\boxed{x = \frac{h}{b-t^2}}[/tex]  

Answer:

10 just find the difference between the two

Step-by-step explanation:

16-6=10

Wangmo have 6 years of teaching experience.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Let Wangmo has x years of experience.

Jigsel has 6 more years of teaching experience than Wangmo.

So, Jigsel has x + 6 years of experience.

According to the question,

the two of them have 16 years of teaching experience altogether.

That means,

we have the equation,

(x+6) + x = 16

2x = 16 -6

2x = 10

x = 10/2

x = 5

Therefore, Wangmo has 6 years of experience.

To learn more about the equation;

https://brainly.com/question/12788590

#SPJ2

The function that has a domain of all real numbers is:

A. [tex]y = 2x^{\frac{1}{3}} - 7[/tex].

The domain of a function is the set that contains all possible input values for the function.

If a function has an even root, equivalent to an exponent of [tex]\frac{1}{n}[/tex] with n even, the domain is only positive values, while if the exponent is odd, the domain is all real values.

Researching the problem on the internet, the function with odd exponent is:

A. [tex]y = 2x^{\frac{1}{3}} - 7[/tex].

More can be learned about the domain of a function at https://brainly.com/question/10891721

#SPJ1

The equation of the parallel line is  2y-x=-7

A parallel line will have the same slope, but different intercept. Let's assume C in the intercept of this parallel line. Therefore, equation of the parallel would be,

2y-x=C, coefficients of x and y remain the same, since parallel lines.

This line passes through (3, -2). Therefore, substituting those values, we will get value of C.

2.(-2) -3=C

C=(-7)

The equation of the parallel line is therefore 2y-x=-7

Learn more about straight lines here :

https://brainly.com/question/11855048

#SPJ4

Answer:

f(1) = 81

Step-by-step explanation:

f(n + 1) = 1/3 f(n)

⇔ f(n) = 3 × f(n + 1)

……………………………

if f(3) = 9  ⇒  f(2) = 3 × f(3) = 3 × 9 = 27

Then

f(1) = 3 × f(2) = 3 × 27 = 81

Answer:

a. 50 students are randomly selected from the school; 11 drive to school

b. 407

Step-by-step explanation:

a. to get an accurate viewing, use random people that share 1 large common denominator (from the same school) that also has to do with the question

b. 11/50 is only between 50 students. make the denominator the same (1850) and multiply the same to the numerator

1850/50 = 37

11/50 x 37 = 407/1850

The probability that a part was manufactured on machine A, given that the part is defective is P ( A | D ) = 0.024.

To find the probability that a part was manufactured on machine A, given that the part is defective:

The probability that a part was manufactured on machine A given that part is defective:

P ( A | D )

P ( A | D ) = [P (A) * P ( D | A )]/ P ( D )

Where: P (A) is the probability that the part is manufactured in machine A which is 0.2 (half of the parts are manufactured in machine A)

P (D/A) is the probability of a defective part given that the part was manufactured in machine A which is 2% or 0.02

And finally, the probability of defective part in the production is 8% or 0.08 hence :

P ( A | D ) = [ ( 0.2 ) * 0.02 ] / 0.08

P ( A | D ) = 0.024

Therefore, the probability that a part was manufactured on machine A, given that the part is defective is P ( A | D ) = 0.024.

Know more about probability here:

https://brainly.com/question/25870256

#SPJ4

120Rs is spend in 6 days on these things and distributive property is used

Properties of whole numbers are defined to operate basic arithmetic operations such as addition and multiplication, in an easy way. Applying these properties helps us to solve such math problems quickly, without even using calculators. These properties are almost similar to the properties of integers, although the definition for whole numbers and integers are different.

Total cost of a single day= 15 + 5 = 20Rs

∴ In 6 days total cost = 20 x 6 = 120Rs

Thus 120Rs is spend in 6 days on these things and distributive property is used.

Learn more about whole numbers here :

https://brainly.com/question/19161857

#SPJ4