Which two equations represent a nonlinear function?


y=2(x−1)+1

y = 2 ( x − − 1 ) + 1

y=2x−1

y = 2 x − − 1

y=(x−1)2

y = ( x − − 1 ) 2

y=x−1

y = x − − 1

y=3x−1

y = 3 x − − 1

Answer:

b. 240

Step-by-step explanation:

sin of 300 is equal to -.86

sin of 240 is equal to -.86

use calculator

Answer:

25

Step-by-step explanation:

.45x25+10.00= 21.25

.65x25+5.00=21.25

The solution for z in the equation is z = 3y - 1/16(5y + 7x)⁴

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

2(5y+7x)²=8√(3y-z)

Rewrite the equation

So, we have the following representation

2(5y + 7x)² = 8√(3y - z)

Take the square of both sides

This gives

4(5y + 7x)⁴ = 64(3y - z)

Divide both sides by 64

1/16(5y + 7x)⁴ = 3y - z

So, we have

z = 3y - 1/16(5y + 7x)⁴

Hence, the solution is z = 3y - 1/16(5y + 7x)⁴

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Answer:

Step-by-step explanation:

It's true

To change the chart style to style 42 (2nd column 6th row), follow these steps:

1. Select the chart you want to modify.
2. Right-click on the chart, and a menu will appear.
3. From the menu, choose "Chart Type" or "Change Chart Type," depending on the version of the software you are using.
4. A dialog box or a sidebar will open with a gallery of chart types.
5. In the gallery, find the style labeled as "Style 42." The styles are usually represented by small preview images.
6. Click on the style to select it.
7. After selecting the style, the chart will automatically update to reflect the new style.

Note: The position of the style in the gallery may vary depending on the software version, so the specific position of the 2nd column 6th row may differ. However, the process remains the same.

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The value of radius of a right circular cylinder is 1,248 in for which the minimum surface area is obtained.

Volume of the  right circular cylinder be;

v(c) = 12 in³ =  π*r²*h    

In which, h is the height of the cylinder,

Then , h  =  12 / π*r²

Surface area of a right circular cylinder is:

S = area of base and top  + lateral area

S(A)  =  2*π*r²  + 2*π*r*h  ....eq 1

Put value of 'h' in equation (1)

S(r)  =  2*π*r² +   2*π*r*  ( 12 / π*r²)

S(r)  =  2*π*r² + 24 /r

Differentiate both sides,

S´(r)  =  4*π*r -  24 /r²

Put , S´(r)  = 0 to get the critical points.

4*π*r -  24 /r²  =  0

π*r - 6/r² = 0

π*r³ - 6  = 0

r³   =  1,91    

r = 1,248 in    

Check for the minimum surface area for r = 1,248 in.

Find the second derivative,

S´´(r)  =  4*π  +  48/r³    

S´´(r)  will always be positive.

Thus,  the minimum surface area S  is for   r = 1,248 in.

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Answer:

m= 2/8

equation= y=1/2x+2

Step-by-step explanation:

give brainliest pls pls pls

Answer:

m=1/4

y=1/4x+2

Step-by-step explanation:

slope is rise over run.  it rises 1 and runs 4

the equation for a liner function is y=mx+b.  Since 1/4 is the slope, replace m with 1/4.  b is the y intercept, and from the graph, you know the y intercept is 2.

We can say that approximately 48 villagers (40% of 120) are under the age of 25. This means that just under half of the population in this village is under the age of 25.

According to the pie chart, we can see that the village of 120 people has 20% of its population over the age of 60. To determine the exact number of villagers over 60, we can multiply the total population by the percentage of people over 60:

120 x 20% = 24

So there are 24 villagers over the age of 60 in this village.

As for the percentage of villagers under the age of 25, we can see from the pie chart that 40% of the population falls into this category. However, it is important to note that the question mentions a village of 120 people, while the percentage given in the chart may not reflect this exact number. Therefore, we cannot determine the exact number of villagers under the age of 25 without additional information.

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Answer: 512

Step-by-step explanation:

2^ (3^2)

2^ (9)

512

Responder:

$ 555,911.5

Explicación paso a paso:

Dado

Principal = $ 545,680

Interés = 2,25%

Tiempo = 10 meses = 10/12 años

Debemos buscar la cantidad después de 10 meses.

Monto = Principal + Intereses

Interés = PRT / 100

Interés = 545,680 * 2,25 * 10/1200

Intereses = 12,277,800 / 1200

Interés = 10.231,5

Cantidad = 545,680 + 10,231.5

Cantidad = 555,911.5

por lo tanto, la cantidad después de 10 meses es $ 555,911.5

Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

The most appropriate test statistic for constructing confidence intervals for the population mean when the population is normally distributed, but the variance is unknown, is the t-statistic.

The t-statistic is used when the sample size is small (typically less than 30) and the population standard deviation is unknown. It takes into account the uncertainty introduced by estimating the population standard deviation from the sample.

To construct a confidence interval using the t-statistic, follow these steps:

Take a random sample from the population.
Calculate the sample mean and sample standard deviation.
Determine the desired level of confidence, often expressed as a percentage (e.g., 95% confidence).
Look up the appropriate critical value from the t-distribution table based on the sample size and desired level of confidence.
Calculate the margin of error by multiplying the critical value by the standard error of the sample mean.
Construct the confidence interval by adding and subtracting the margin of error from the sample mean.
Write the conclusion, stating the confidence interval and interpreting it in the context of the problem.

The t-statistic is the most appropriate test statistic for constructing confidence intervals when the population is normally distributed but the variance is unknown. The t-statistic takes into account the uncertainty introduced by estimating the population standard deviation from the sample.

The steps to construct a confidence interval using the t-statistic include calculating the sample mean and sample standard deviation, determining the desired level of confidence, looking up the appropriate critical value, calculating the margin of error, and constructing the confidence interval.

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(2) The statements and reasons in the two-column method are presented as follows;

Statement \({}\)                                           Reasons

1. \(\overline{BD}\) bisects ∠ABC \({}\)                          1. Given

2. ∠BAD ≅ ∠BCD   \({}\)                            2. Given

3. ∠ABD ≅ ∠CBD    \({}\)                           3. Definition of angle bisector

4. \(\overline{BD}\) ≅ \(\overline{DB}\)    \({}\)                                    4. Reflexive property

5. ΔABD ≅ ΔCBD     \({}\)                          5. AAS congruency postulate

(3) The two-column method used to prove the congruency of triangles ΔQRS and ΔSTU, is presented as follows;

Statement       \({}\)                                           Reason

1. S is the midpoint of \(\overline{QU}\)       \({}\)                 1. Given

2. \(\overline{QR}\) ≅ \(\overline{ST}\)        \({}\)                                       2. Given

3.  \(\overline{RS}\) ≅ \(\overline{TU}\)        \({}\)                                       3. Given  

4.  \(\overline{QS}\) ≅ \(\overline{SU}\)        \({}\)                                  4. Definition of midpoint of \(\overline{QU}\)

5. ΔQRS ≅ ΔSTV           \({}\)                            5. SSS congruency postulate

The two column method consists of statements and  the associated reasons arranged sequentially side by side in a two-column tabula format.

The reasons used to prove the above statements are as follows;

Angle bisector

An angle bisector is a segment that divides an angle into  two angles of the same measure.

Reflexive property

The reflexive property of equality states that the value of an object or the measure of a dimension is equal to itself

AAS congruency postulate

AAS which is the acronym for Angle-Angle-Side  congruency, states that  if two angles and a non included side of one triangle are congruent to two angles and the non  included side of  another triangle, then  the two triangles are congruent

Midpoint of a line

The midpoint of a line is a point that divides the line into two segments of the same measure.

SSS congruency postulate

The Side-Side-Side congruency postulate states that two triangles are congruent if three sides are congruent to three sides of the other triangle

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point coordinates for the mid segment of the parallel to PQ segment of the PQR is ST point is (-3.5, 0.5) and (-1, -0.5).

Given that,

We have to find what are the endpoint coordinates for the middle portion of the parallel to PQ segment of the PQR.

We know that,

First we write the co-ordinates of the triangle in the given graph.

P is (-3,3)

Q is (2,1)

R is (-4,-2)

The triangle's midpoint, which is parallel to section PQ, must be located. As a result, we would need to locate the midpoints of the segments PR and QR before joining the points to obtain the mid segment.

Midpoint Formula is

(x₁+x₂/2, y₁+y₂/2)

So,

The midpoint of the side PR is

(-3+(-4)/2, 3+(-2)/2)

(-3-4/2, 3-2/2)

(-7/2,1/2)

So, S point is (-3.5, 0.5)

The midpoint of the side QR is

(2+(-4)/2, 1+(-2)/2)

(2-4/2, 1-2/2)

(-2/2,-1/2)

So, T point is (-1, -0.5)

Therefore, The endpoint coordinates for the mid segment of the parallel to PQ segment of the PQR is ST point is (-3.5, 0.5) and (-1, -0.5).

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Respuesta/Answer:

25=10+w

Explicación paso a paso/Step-by-step explanation:

w=15

Answer:

d on edge

Step-by-step explanation:

its just the table flipped

Answer:

it's d

Step-by-step explanation:

Answer:- Hence, the  combination will maximize total utility is \(12.\)

Step-By-Step-Explanation:-

What is cost?

Cost is the amount of money you spent to make the product or service. Price is what you will charge for it.

Here given that,

The cups and plates budget is \($18 (3 plates x $6 each + 6 cups x $3 each)\)

Then the utility for the combination is \(12 (3 plates x 4 utility each + 6 cups x 2 utility each).\)

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Given:

Value of an investment of $4000 at 11% compounded continuously for 5 years.

Required:

Find the accumulated value of an investment.

Explanation:

We know that

Where, P = Original principal sum

r = Nominal annual interest rate

t = length of time the interest is applied.

Now,

Answer:

Hence, option b is correct.

Answer:

k= -1/3

Step-by-step explanation:

hope this helps :)

Answer:

The scale factor used is 0.4

Step-by-step explanation:

Given

\(R = (3,9)\)

\(R' = (1.2, 3.6)\)

Required

Determine the scale factor of RST

The question can be solved using scale factor formula

Scale factor is calculated as thus;

\(Scale\ Factor = \frac{New\ Length}{Old\ Length}\)

In this case; R' is the new length and R is the old length

\(Scale\ Factor = \frac{R'}{R}\)

Substitute the values of R and R'

\(Scale\ Factor = \frac{(1.2,3.6)}{(3,9)}\)

Factorize the denominator

\(Scale\ Factor = \frac{(1.2,3.6)}{2.5(1.2,3.6)}\)

\(Scale\ Factor = \frac{1}{2.5}\)

\(Scale\ Factor = 0.4\)

Hence, the scale factor used is 0.4

Answer:

true

Step-by-step explanation:

if you rewrite \(sec\left(\frac{\pi }{2}\:-x\right)\) with trigonometric identities:

\(sec\left(\frac{\pi }{2}\:-x\right)\)    \(=\frac{1}{\sin \left(x\right)}\)

\(\frac{1}{\sin \left(x\right)}\)  \(=\csc \left(x\right)\)

so, yes,  \(sec\left(\frac{\pi }{2}\:-x\right)\)  \(=\csc \left(x\right)\)

hope this helps!!

With the help of simple mathematical operations, we know that the cost of installing 970 ft² will be $6,305.

A method of calculation: The most popular ones are (+, −, ×, ÷)  for add, subtract, multiply, and divide.

However, there are many more, like square roots, logarithms, and squares.

It is most likely an operation if it isn't a number.

Example: The operation in 25 + 6 = 31 is added.

So, we know that:

The store charges $747.50 to install 115 ft² of tiles.

Then, the amount that will come to install 970 ft² tiles:?

Cost of installing 1 ft² of tiles:

747.50/115

$6.5

So, the cost of installing 1 ft² of tiles: is $6.5.

Now, the cost of installing 970 ft² tiles will be:

6.5 × 970

$6,305

Therefore, with the help of simple mathematical operations, we know that the cost of installing 970 ft² will be $6,305.

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We must solve graphically the following system of inequalities:

The question asks about the second linear inequality:

This inequality represents all the points with x-coordinate equal to or higher than -2. Plotting these points, we get the following graph:

From the graph we see that:

• The type of boundary line is ,solid (-), because the inequality has a ≥ sign,

• Two points of the boundary line are: ,(-2, 0),, ,(-2, 2),,

• the region that must be shaded is the region at the right,.

Answer

• Solid (-)

• (-2, 0), (-2, 2)

• the region that must be shaded is the region at the right.

Answer:

1a) x+11=x+11 becomes 0=0. What this means is that at all x values the y values are the same, in other words, they are the same line.

Please split up your questions as it is difficult to answer.

Answer:

ans willbe -8

Step-by-step explanation:

-1/2 × 2 =-1

-1×2=-2

-2×2=-4

-4×2=-8

The sum of the given algebraic expression is =6g²-9g +4

The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.

The given expression is

=3g²-g+(3g²-8g+4)

=3g²-g + 3g² -8g +4

=6g²-9g +4

The sum of the given algebraic expression is =6g²-9g +4

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(x+1) & (x-5) are the factors of given equation.

The given Equation is,

x3- \(3x^{3}\) - 9

Here, If we substitute x =5, in the given equation, then we find

     (5)3 - 3(5)3 - 9*5 -5 = 0

x-5 is factor of given equation to find another factor dividing given equation by x-5

    we will get =(x2+2x+1) after dividing the equation by x - 5

Hence x3- \(3x^{3}\) - 9 =(x2+2x+1) (x-5)

                            =(x+2)2 (x-5)

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Answer:

No

Step-by-step explanation:

65 is closer to 0 on the number line. Therefore 65 has a lower value the 344.