what is a wvgsa test? and how can I study

Answer:

The second choice.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Option 1: \(-2x+3\)

Step-by-step explanation:

\(-\frac{1}{5}\left(5x+20\right)-\frac{1}{4}\left(4x-28\right)\)

Expand:

\(-\frac{5x+20}{5}-\frac{4x-28}{4}\)

\(-\left(x+4\right)-\left(x-7\right)\)

Remove brackets:

\(-x-4-x+7\)

Group similar terms together:

\(-x-x-4+7\)

\(-2x+3\)

The total time taken for the entire journey is 2.8 hours.

To calculate the total time taken for the entire journey, we can use the formula:

Time = Distance / Speed

For the first part of the journey, the car travels a distance of 112 km at an average speed of 70 km/h. Using the formula, the time taken for this part is:

Time1 = 112 km / 70 km/h = 1.6 hours

For the second part of the journey, the car travels a further distance of 60 km at an average speed of 50 km/h. Again, using the formula, the time taken for this part is:

Time2 = 60 km / 50 km/h = 1.2 hours

To find the total time for the entire journey, we sum up the times for both parts:

Total Time = Time1 + Time2 = 1.6 hours + 1.2 hours = 2.8 hours

For more such questions on time

https://brainly.com/question/26862717

#SPJ8

Segment AB was dilated by a scale factor of 3.

We have,

To determine the scale factor by which segment AB was dilated, we can compare the lengths of the original segment AB and the dilated segment A' B'.

The length of segment AB can be calculated using the distance formula:

\(AB = \sqrt{((x_2 - x_1)^2 + (y_2 - y_1)^2)}\)

For points A(0, 2) and B(2, 3):

\(AB = \sqrt{((2 - 0)^2 + (3 - 2)^2)} = \sqrt{(4 + 1)\) = √5

Similarly, we can find the length of segment A' B' for points A'(0, 6) and B'(6, 9):

A' B' = √((6 - 0)² + (9 - 6)²) = √(36 + 9) = √45

The scale factor is the ratio of the lengths of the dilated segment to the original segment:

Scale factor = A' B' / AB = √45 / √5

To simplify this, we rationalize the denominator by multiplying the numerator and denominator by √5:

Scale factor = (√45 / √5) x (√5 / √5) = √(45 x 5) / 5 = √(225) / 5 = 15 / 5 = 3

Therefore,

Segment AB was dilated by a scale factor of 3.

Learn more about distance of a line here:

https://brainly.com/question/14645718

#SPJ1

Answer:

40 is the surface area.

Explanation on hiw to get the answer:

Answer:

C. -2

Step-by-step explanation:

All parallel lines have the same slope

Answer: hello there here is your answer:

Still air speed:450 mph.

Step-by-step explanation:

500-450=450-400=50 mph

Still air speed:450 mph. Wind speed:50 mph..

hope this help have a good day

Answer:

n = the first

n + 1 = the 2nd

n + 2 = the 3rd

n(n + 2) - (n + 1) = 10(n + 2) + 1

n2 + 2n - n - 1 = 10n + 20 + 1

n2 - 9n - 22 = 0

(n - 11)(n + 2) = 0

If two factors = 0, at least one must = 0.

n - 11 = 0

n = 11

11,12,13

n + 2 = 0

n = -2

-2,-1,0

$8,125 is the compound interest.

What is compound interest?

P = $6500

R = 25%

T = 1

compound Interest A = P( 1 + r/100)ⁿ

                                   = 6500( 1 + 25/100)¹

                                   = 6500( 5/4)

                                   = 6500 * 5/4

                                   = $8,125

Learn more about compound interest

brainly.com/question/14295570

#SPJ13

Answer:

8 500 000

Step-by-step explanation:

since it for the hundred thousand round off, we consider the ten thousand place value if it would have an effect on the hundred thousand place value.

In our case it did not have effect because it is below 5

To divide 30 into five parts such that the first and last parts are in the ratio of 2:3, we can follow these steps:

1. Determine the ratio between the first and last parts. In this case, it is 2:3.

2. Add the ratio values together to find the total number of parts: 2 + 3 = 5.

3. Divide the total value (30) by the total number of parts (5) to find the value of each part: 30 / 5 = 6.

4. Multiply the value of each part by the respective ratio values to obtain the individual parts:

- First part: 2 * 6 = 12

- Second part: 6

- Third part: 6

- Fourth part: 6

- Last part: 3 * 6 = 18

Therefore, the five parts of 30, with the first and last parts in the ratio of 2:3, are 12, 6, 6, 6, and 18.

Charles should hire 20 workers for each hour.

To determine the optimal number of workers to hire, Charles needs to compare the marginal cost and marginal benefit of each additional worker.

The marginal benefit of each worker is the additional number of drinks they can produce multiplied by the average selling price per drink. The marginal cost is the hourly wage of each worker multiplied by the number of hours they work.

Initially, the marginal benefit of the first worker is 20 drinks * $3/drink = $60.

The marginal cost is $15/worker * 8 hours = $120.

The second worker has a marginal benefit of 18 drinks * $3/drink = $54.

The marginal cost is still $120.

For each additional worker hired, the marginal benefit decreases by 2 drinks * $3/drink = $6, while the marginal cost remains constant at $120.

Charles should hire workers as long as the marginal benefit is greater than the marginal cost.

Once the marginal benefit is equal to or less than the marginal cost, it is no longer profitable to hire more workers.

Therefore, Charles should hire workers until the marginal benefit is equal to the marginal cost, which occurs when the marginal benefit is $120.

To find out how many workers will provide a marginal benefit of $120, we set the marginal benefit equal to $120 and solve for the number of workers:

$6 * n = $120

$n = 20

For more questions on marginal benefit

https://brainly.com/question/8136407

#SPJ4

sin(a+b) = sinacosb + cosasinb

sin(a-b) = sinacosb -  cosasinb

adding we get  sin(a+b) + sin(a-b) = 2sinaccosb

so sinacosb = 1/2sin(a+b) + sin(a-b)

Answer: Sin a

Answer:

sin a

Step-by-step explanation:

A P E X

The dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is 75 square meters

What is measurement?

Measurement is the process of assigning numerical values to physical quantities, such as length, mass, time, temperature, and volume, in order to describe and quantify the properties of objects and phenomena.

Let's assume that the rock wall is the width of the garden and the wire fencing is used for the length and the other two sides. Let's denote the length of the garden as L and the width as W.

Since we have 30 meters of fencing available, the total length of wire fencing used is:

L + 2W = 30 - W

Simplifying this equation, we get:

L = 30 - 3W

The area of the garden is:

A = LW

Substituting the expression for L from the previous equation, we get:

A = W(30 - 3W)

Expanding the expression, we get:

A = 30W - 3W²

To find the maximum area, we need to take the derivative of A with respect to W and set it equal to zero:

dA/dW = 30 - 6W = 0

Solving for W, we get:

W = 5

Substituting this value back into the expression for L, we get:

L = 15

Therefore, the dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is:

A = 5(15) = 75 square meters

To know more about measurement visit:

brainly.com/question/4804936

#SPJ1

Answer:

no sé talvez sería

bueno no sé jajaja

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

To learn more on Sequence click:

https://brainly.com/question/21961097

#SPJ1

Answer:

Bryan spent $16

Step-by-step explanation:

Sarah + Bryan = $47.50

Bryan = Sarah - $15.50

So substitute:

Sarah + (Sarah - $15.50) = $47.50 (add $15.50 to both sides)

Sarah + Sarah = $63

2* Sarah = $63 (divide by 2 on both sides)

Sarah = $31.50

So

Bryan = Sarah - $15.50 (Substitute what you calculated above_

Bryan = $31.50 - $15.50

Bryan = $16

Answer: 72.36

Step-by-step explanation:

To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.

The initial amount of salt in the bowl was 59.16 grams.

Omar added 13.2 grams of salt to the bowl.

To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36

Therefore, the bowl contains 72.36 grams of salt now.

Answer:

Step-by-step explanation:

step 1:

determining the values for standard form for the equation of a line,

y = mx + c

Step 2:

calculation of m, where m is the gradient or slope which determines how steep the line is.

step 3:

calculation of c, where c is the height at which the line crosses the y - axis also known as y - intercept

The decimal representation of the given sequence is 4,063.21.

The given sequence can be interpreted as follows: "63 ones, 21 hundredths, 4 thousand." To convert this sequence into decimal form, we need to understand the place value of each digit.

Starting from the left, we have "63 ones." This means we have 63 units, which can be represented as 63.

Next, we have "21 hundredths." Since there are two digits after the decimal point, the number becomes 0.21.

Finally, we have "4 thousand." Considering the place value, 4 thousand would be written as 4,000.

Putting it all together, we have 63 + 0.21 + 4,000, which equals 4,063.21. Therefore, the decimal representation of the given sequence is 4,063.21.

For more such questions on decimal

https://brainly.com/question/28393353

#SPJ8

Answer:

4(3² - 1.5) + 3(2² + 2.25)

Explanation:

First, they buy 4 tickets that cost $1.50 less than the square of $3. So, we can express that as follows:

4 x (3² - 1.5)

Then, they buy 3 bags of popcorn and a small soda that cost $2.25 more than the square of $2, so the expression for this is:

3 x (2² + 2.25)

Therefore, the numerical expression that can be used to find the total amount is the sum of the expression above:

4 x (3² - 1.5) + 3 x (2² + 2.25)

4(3² - 1.5) + 3(2² + 2.25)

So, the answer is:

4(3² - 1.5) + 3(2² + 2.25)

It is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in
the graph intersecting the x- or y-axis at a different point.

Function is an operation that takes an input, performs some processing on it, and returns a result. It is a set of instructions that performs a specific task. Functions are typically used to perform repetitive tasks, like finding the sum of two numbers, adding two strings together, or finding the maximum of a list of numbers. Functions are essential to programming and can be used to make code more organized, reusable, and efficient.


The function f(x) = x is the parent function for linear equations. This equation is generally used to graph a line with a slope of 1 and a y-intercept of (0, 0). In order to translate this parent function, different transformations are applied to it.

A vertical translation down 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function down 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, -4).

A horizontal translation right 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function right 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (4, 0).

A horizontal translation left 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function left 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (-4, 0).

Finally, a vertical translation up 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function up 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, 4).

In conclusion, it is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in the graph intersecting the x- or y-axis at a different point.

To know more about function click-
http://brainly.com/question/25841119
#SPJ1

Answer:

6\(\sqrt{14}\)

Step-by-step explanation:

\(\sqrt{504}\) Simplifies to \(\sqrt{2^3*3^2*7}\) by the way.

Answer:

x< -12

Step-by-step explanation:

-1/2x>6
x-2.   x-2

x>-12

Since we multiply by we negative we flip the sign

x< -12

Hopes this helps

The meaning of the statement, "if the function has no parameters, then the class C is definable" is that if there are no parameters given then the class c can be defined with an empty set but if there are no parameters, then the class cannot be defined.

The meaning of the above statement is that if no parameters are provided for this function, then the given class represented as c can be defined with an empty set that is enclosed in parameters.

Also, if the parameters are given then the class c is not defined.

Learn more about defining functions here:

https://brainly.com/question/11624077

#SPJ1

To find the measure of the geometry-big circle, we need to sum up the measures of all the arcs around the circle.

We are given the following measures:

\(\sf\:m\angle AB = 56 \\\)

\(\sf\:m\angle BC = 59 \\\)

\(\sf\:m\angle CD = 63 \\\)

\(\sf\:m\angle DE = 63 \\\)

\(\sf\:m\angle EF = 31 \\\)

To find the measure of the geometry-big circle, we add up these measures:

\(\sf\:m\angle AB + m\angle BC + m\angle CD + m\angle DE + m\angle EF \\\)

Substituting the given values:

\(\sf\:56 + 59 + 63 + 63 + 31 \\\)

Simplifying the expression:

\(\sf\:272 \\\)

Therefore, the measure of the geometry-big circle is 272.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer: Identity Property of Multiplication

Step-by-step explanation: