Select all of the following that represent the part of the grid that is shaded.



A ten-by-ten grid has 7 columns shaded.



A.


70


100


B.


7


10


C.


70


10


D.


0. 07



E.


0. 7

Answer:

The answer is A.

This is because adding 5 to both sides of the original equation gives us A.

An equivalent equation to 3r = 90 - 5 is 3r + 5 = 90

The correct answer is an option (A)

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

"The equations that have the same answer or solution."

For given question,

We have been given an equation 3r = 90 - 5

We know that the addition property of equality which states that  when the same quantity is added to both sides of an equation, the equation does not change.

⇒ 3r = 90 - 5

Add 5 on the both the sides of the equations.

⇒ 3r + 5 = 90 - 5 + 5

⇒ 3r + 5 = 90 + 0

⇒ 3r + 5 = 90

Therefore, an equivalent equation to 3r = 90 - 5 is 3r + 5 = 90

The correct answer is an option (A)

Learn more about equation here:

https://brainly.com/question/13170101

#SPJ2

Answer:

-x^3-7x^2-46x-16/x+4

Step-by-step explanation:

The slash is a fraction! Also the fraction is negative :)

Answer:

A

Step-by-step explanation:

you can put any number for the x so there are infinite solutions

Answer:

Alexa has 36 friends

Step-by-step explanation:

80 - 8 = 72, if she gives 2 to each friend...

that would mean 2 · x = 72

to find x, divide 72 by 2,

72 ÷ 2 = 36 friends

The margin of error of the random selection is 0.20

The given parameters are:

\(n = 420\) --- the sample size

\(\sigma = 1.6\) --- the standard deviation

\(\bar x = 10\) --- the mean

\(\alpha = 99\%\) --- the confidence level.

The margin of error (E) is calculated as follows:

\(E = z \times \sqrt{\frac{\sigma^2}{n}}\)

So, we have:

\(E = z \times \sqrt{\frac{1.6^2}{420}}\)

\(E = z \times \sqrt{\frac{2.56}{420}}\)

The z-value for 99% confidence level is 2.576.

Substitute 2.576 for z

\(E = 2.576 \times \sqrt{\frac{2.56}{420}}\)

\(E = 2.576 \times \sqrt{0.006095}\)

Take square roots

\(E = 2.576 \times 0.0781\)

Multiply

\(E = 0.2012\)

Approximate

\(E = 0.20\)

Hence, the margin of error is 0.20

Read more about margin of error at:

https://brainly.com/question/14396648

If Cory composed two equations in both ways and found that the results were equal to x, then he can conclude that the two equations are inverse functions of each other.

This means that if we apply one equation and then the other to a value of x, we will get back to the original value of x. In other words, if f(x) represents the first equation and g(x) represents the second equation, then:

g(f(x)) = x

f(g(x)) = x

This property is true for all inverse functions, which undo each other's effects. As an example, the trigonometric functions sine and arcsine are inverse functions, so if we apply sine to an angle and then arcsine to the resulting value, we get back to the original angle.

Learn more about equations  here:

https://brainly.com/question/29538993

#SPJ11

The value of 'g' in the relative frequency table described above is 33%

From the relative frequency table described, the value of 'g' can be obtained thus:

A = g, B = 16%, total = 49%.

A + B = g + 16% = 49%

To obtain g :

g + 16% = 49%

g = 49% -16% = 33%

Therefore, the value of 'g' in the relative frequency table would be 33%

Learn more on frequency tables :https://brainly.com/question/27820465

#SPJ1

Answer:

20cm

Step-by-step explanation:

We know that on the map, 3 cm represents 150 m.

To find how far apart two points are on the map when they are 1 km (1000 m) apart in reality, we can set up a proportion using the given scale:

(3 cm) / (150 m) = (x cm) / (1000 m)

We can cross-multiply and solve for x:

3 cm * 1000 m = 150 m * x cm

3000 cm * m = 150 m * x cm

The unit "m" cancels out, leaving us with:

3000 cm = 150 * x cm

Divide both sides by 150 cm:

3000 cm / 150 cm = x

20 = x

Therefore, the two points are 20 cm apart on the map.

Answer:

0.15 as a fraction is 3/20

Step-by-step explanation:

The particular solution of the given equation is given by:\(y = c1cos(2x) + c2sin(2x) + (x^2 - x + 1/48)e^(2x).\)

Given an equation, using the method of undetermined coefficients, the particular solution is to be found. The equation is:\((D4+4D2+4)y = xe^(2x)\)

Where, D denotes the derivative with respect to x.Step-by-step explanation:

First, the characteristic equation is to be determined. That is,D^2+4 = 0 => D = ∓2iThe complementary function (CF) is given by:

\(yCF = c1cos(2x) + c2sin(2x)\)

Now, let us assume the particular solution (PS) as:

yPS = Ax^2e^(2x)

where, A is a constant.

Differentiating PS, we get:\(y'PS = 2Axe^(2x) + 2Ax^2e^(2x)y''PS = 4Axe^(2x) + 4Ax^2e^(2x) + 4Axe^(2x) + 2Ax^2e^(2x)y'''PS = 8Axe^(2x) + 12Ax^2e^(2x) + 8Ax^2e^(2x) + 8Axe^(2x)y''''PS = 16Axe^(2x) + 32Ax^2e^(2x) + 16Ax^2e^(2x) + 16Axe^(2x)\)Putting these values in the given equation, we get:

\((16Ax^2e^(2x) + 32Ax^2e^(2x) + 16Ax^2e^(2x) + 16Axe^(2x)) + 4(4Axe^(2x) + 2Ax^2e^(2x)) + 4(Ax^2e^(2x)) = xe^(2x)\)Simplifying the equation, we get:\(48Ax^2e^(2x) + 16Axe^(2x) = xe^(2x)\)Comparing the coefficients of x and e^(2x), we get:48A = 1 and 16A = 0. Therefore, A = 1/48 and A = 0, which is not possible.

Hence, the assumption of PS is incorrect.

Hence, another assumption for PS is:\(yPS = (Ax^2 + Bx + C)e^(2x)\)Differentiating and putting the values in the given equation, we get:2B + 8C = 1 => 4B + 16C = 0 => 2A + 4B + 8C = 0Solving these equations, we get:A = 1/48, B = -1/24, and C = 1/48Hence, the particular solution is:

\(yPS = (x^2 - x + 1/48)e^(2x)\)

Therefore, the complete solution is:\(y = yCF + yPS = > y = c1cos(2x) + c2sin(2x) + (x^2 - x + 1/48)e^(2x).\)

For more such questions on  coefficients

https://brainly.com/question/1038771

#SPJ11

The correct answer is D. Both A and B are correct.

Both a Project Network Diagram and a Gantt Chart are commonly used tools to communicate project status. Each of these tools provides a visual representation of project tasks, their dependencies, and their respective timelines.

A Project Network Diagram, also known as a project schedule network diagram or an activity network diagram, illustrates the sequence and dependencies of project activities. It uses nodes (representing activities) and arrows (representing dependencies) to depict the logical flow of tasks in a project.

A Gantt Chart is a horizontal bar chart that shows project tasks as bars along a timeline. It displays the start and end dates of each task, allowing project managers and stakeholders to visualize the overall project schedule and understand the progress of individual tasks.

Both these tools are effective in communicating project status and can be used together or individually, depending on the project's requirements and preferences of the project team.

Learn more about Gantt Chart here

https://brainly.com/question/32263562

#SPJ4

Answer: D

Step-by-step explanation:

2x - 14 + x= 46

3x = 60

x= 20

Answer:

See attached picture for example, hope it helps!

Step-by-step explanation:

Answer:Watch How to do long division (step by step) | 1 digit divisors

Step-by-step explanation:

How to do Long Division (Step by Step) | 1-Digit

Answer:

B. 3x + 4

Step-by-step explanation:

Perimeter garden = 8x + 8

Perimeter = 2 * length + 2 * width

Width = x

8x + 8 = 2 * length + 2x

8x - 2x + 8 = 2* length

6x + 8 = 2 * length

3x + 4 = length

Brandon needs a total of 276 roses in all.

To find out how many roses Brandon needs in total, we can calculate the number of roses in the large arrangements and the small arrangements separately, and then add them together.

Number of large arrangements = 3

Number of roses in each large arrangement = 28

Total number of roses in large arrangements = Number of large arrangements * Number of roses in each large arrangement

Total number of roses in large arrangements = 3 * 28 = 84 roses

Number of small arrangements = 12

Number of roses in each small arrangement = 16

Total number of roses in small arrangements = Number of small arrangements * Number of roses in each small arrangement

Total number of roses in small arrangements = 12 * 16 = 192 roses

To find the total number of roses, we add the number of roses in the large arrangements and the small arrangements:

Total number of roses = Total number of roses in large arrangements + Total number of roses in small arrangements

Total number of roses = 84 + 192 = 276 roses

Therefore, Brandon needs a total of 276 roses in all.

learn more about Numbers

brainly.com/question/24908711

#SPJ11

The image obtained by reflecting the segment PQ over the line where y = −1 id image D.

To find reflecting segments, you need to first identify the points that are being reflected. A reflecting segment is created by reflecting points over a line of symmetry, known as the axis of reflection. From the segment where y = -1, the image that reflects the segment is the point where Q is (x = 4, y = -1) and P is at (x = -3, y = -6).

To find the reflecting segment, you need to draw a line connecting the original points and their reflected points. The resulting line segment is the reflecting segment. The length of the reflecting segment is equal to twice the distance between the original points and the axis of reflection.

Find out more on reflecting segments here: https://brainly.com/question/29711521

#SPJ1

The option that best describe the transformation is

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object.

Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

the transformation is the problem is reflection which is equivalent to 180 degree rotation hence we say it is a certain angle rotation of point about the circle's center.

Learn more about transformation at:

https://brainly.com/question/4289712

#SPJ1

Answer:

if 1/6 of a roll of paper covers 1/4 of a wall, this means that we will need 4/6 of a roll to cover a whole wall, now the question is asking how many rolls will we need to cover 4 walls, we already know that it takes 4/6 to fill one wall so if we add 4/6+4/6+4/6+4/6 we will get 16/6 or 2 4/6

we will need 16/6 or 2 4/6 of rolls of paper to cover 4 walls

Answer:

if the product is 30 then x=3

Step-by-step explanation:

The probability that a randomly selected group of 16 individuals from the campus will be selected is 0.8023 or 80.23%

Based on the sign in the elevator of the college library, the limit of 16 persons and weight limit of 2,500 pounds need to be adhered to. To ensure compliance with both limits, we need to consider both the number of people and their weight.

Assuming that the distribution of weights of individuals on campus is approximately normal with an average weight of 155 pounds and a standard deviation of 29 pounds, we can use this information to estimate the total weight of a group of 16 randomly selected individuals.

The total weight of a group of 16 individuals can be estimated as follows:

Total weight = 16 x average weight = 16 x 155 = 2480 pounds

To determine if this total weight is within the weight limit of 2,500 pounds, we need to consider the variability in the weights of the individuals. We can do this by calculating the standard deviation of the total weight using the following formula:

Standard deviation of total weight = square root of (n x variance)

where n is the sample size (16) and variance is the square of the standard deviation (29 squared).

Standard deviation of total weight = square root of (16 x 29^2) = 232.74

Using this standard deviation, we can calculate the probability that the total weight of the group of 16 individuals is less than or equal to the weight limit of 2,500 pounds:

Z-score = (2,500 - 2,480) / 232.74 = 0.86

Using a standard normal distribution table or calculator, we can find that the probability of a Z-score less than or equal to 0.86 is approximately 0.8023.

Therefore, the probability that a randomly selected group of 16 individuals from the campus will comply with both the number and weight limits in the elevator of the college library is approximately 0.8023 or 80.23%.

To know more about probability  click on below link :

https://brainly.com/question/14210034#

#SPJ11

The function f is increasing on the interval (6, ∞).

The function f will be increasing in the intervals where f'(x) > 0.

To find these intervals, we can examine the sign of each factor of f'(x), which is (x + 1)²(x - 3)⁵(x - 6)⁴.

We can analyze the sign of f(x) by considering the factors individually:

(x+1)²: This factor is always positive since it is the square of a real number.

(x - 3)⁵: This factor is positive when x>3 and negative when x< 3.

(x - 6)⁴: This factor is positive when x>6 and  negative when x< 6.

We need to consider the overlapping regions of positivity for each factor.

When x>6, all three factors are positive, so  f ′ (x) is positive.

When 3<x<6: In this interval, the factor  (x+1)² is positive, but both (x−3)⁵ and (x−6)⁴ are negative.

Thus, f ′ (x) is negative.

When x<−1: In this interval,  (x+1)² is negative, while (x−3)⁵ and (x−6)⁴ are positive.

Hence, f ′ (x) is negative.

Therefore,  the function f(x) is increasing on the interval x>6.

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ4

We will integrate over the region bounded by the curve and the x-axis, and between the limits of θ=0 and θ=2π. The resulting integral is evaluated as a definite integral to find the area of the region, which turns out to be 6π.

To find the area inside the curve r=3+sin(θ), we first need to find the limits of integration. The curve r=3+sin(θ) intersects the x-axis when r=0, which happens at θ=π. Therefore, we can integrate over the region between θ=0 and θ=2π, bounded by the curve and the x-axis.

Next, we need to express the area element dA in terms of polar coordinates. The area element in polar coordinates is given by dA=r dr dθ. Therefore, the double integral for the area inside the curve is:

A = ∫∫R r dr dθ

where R is the region bounded by the curve and the x-axis, and between the limits of θ=0 and θ=2π.

Substituting r=3+sin(θ) and performing the integration with respect to r first, we get:

A = ∫0^2π ∫0^(3+sin(θ)) r dr dθ

= ∫0^2π [(3+sin(θ))^2 / 2] dθ

= (1/2) ∫0^2π (9+6sin(θ)+sin^2(θ)) dθ

= (1/2) [9(2π) + 0 + π]

= 6π

Therefore, the area inside the curve r=3+sin(θ) is 6π.

To learn more about integrals click here: brainly.com/question/31433890

#SPJ11

The solution of the system of equations f(x) = 2^x + 1 and g(x) = 3^x is x = 1

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

f(x) = 2^x + 1

g(x) = 3^x

The above expression is a system of exponential equations

We are required to solve by graph

That implies that we graph the equations in the system on the same plane and write out ordered pairs from the point of intersection of the equations in the system

Next, we plot the graph

See attachment for the graph of the equations

The ordered pairs of the intersection point is (1, 3)

Read more about equations at

https://brainly.com/question/148035

#SPJ1

The expression √180 * 2√30 is equivalent to the expression 60√6

An equation is an expression that shows the relationship between two numbers and variables.

The square root is a factor of a number that, when multiplied by itself, gives the original number.

Given the expression √180 * 2√30

Collecting like terms give:

= 2√(180 * 30)

Simplifying:

= 60√6

The expression √180 * 2√30 is equivalent to the expression 60√6

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

The answer is 11u + 4v

Step-by-step explanation:

Answer: plot points (0,-2) (1.-5) (2.-8) (-1.1) (-2.1) makes a upside down V

-3|0+2|+4=-2

-3|1 +2|+4= -5

-3|2+2|+4= -8

-3|-1+2|+4=1

+3|-2+2|+4=1

Step-by-step explanation:

Answer:

UW ≅ WR

Step-by-step explanation:

UWR is a straight line that is cut in half by XW, and because XWR is a right angle, that would make UWX a right angle, and UW approximately equal to WR.

Answer:

27 girls and 18 boys

Step-by-step explanation:

you need to divide the 45 pupils into 60 and 40 percent to

Step-by-step explanation:

5 +0.24 = 5 + 24 = 12 = 6

100 50 25

= 5 6

25