Homework: Section 10.2 Use rational exponents to write as a single radical expression. Assume that all variables represent positive real numbers. √2p-√5 √2p-√s= (Simplify your answer.)

Answer:

1, 6, 11, and 16 in that order

Step-by-step explanation:

every time the x value increases by 1, the f(x) value increased by 5

Answer:

3 ounces of water

Step-by-step explanation:

If 6 ounces of water dripped in 10 minutes, then that means that in HALF the time (5 minutes), HALF the amount of water would drip, which is 3 ounces.

Answer:

(7x + 5)(- x - 11)

Step-by-step explanation:

9(x - 1)² - 16(x + 2)² ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b)

9(x - 1)² - 16(x + 2)²

= [ 3(x - 1) ]² - [4(x + 2) ]² with a = 3(x - 1) and b = 4(x + 2)

= [ 3(x - 1) + 4(x + 2) ] [ 3(x - 1) - 4(x + 2) ] ← distribute parenthesis

= [ 3x - 3 + 4x + 8 ] [ 3x - 3 - 4x - 8 ]

= (7x + 5)(- x - 11 )

The length of the garden is 99 m.

The formula for the area of a rectangle is:

Area = Length x Width

We are given that the area of the rectangle is 8811 \(m^{2}\) and the width is 89 m. Substituting these values into the formula, we get:

8811 \(m^{2}\) = Length x 89 m

To solve for the length, we can divide both sides of the equation by 89 m:

Length = 8811 \(m^{2}\) / 89 m

Simplifying, we get:

Length = 99 m

Therefore, the length of the garden is 99 m.

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Answer:

$334.40

Step-by-step explanation:

Find how much she has left to pay after the deposit:

Multiply 5700 by 0.88

5700(0.88)

= 5016

Divide this by 15 to find how much each monthly payment is:

5016/15

= 334.4

So, each monthly payment is $334.40

Domain - all possible input values that can be found on the x-axis.

Range - all possible output values that cane found on teh y-axis.

For example, the point (1, 2)

x = 1 (input)

y = 2 (output)

Best of Luck!

Answer:

domain - hours

range - pay

Explain why your relation is a function.

My relation is a function because we have an independent variable of x - the number of hours an individual works and y- the pay they will receive depends on the amount of hours worked. There is only one input and one output

Step-by-step explanation:

I got this part right on my edge

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \(\frac{3}{4}\) x + 4 ← is in slope- intercept form

with slope m = \(\frac{3}{4}\)

Parallel lines have equal slopes, thus this is slope of parallel line.

The line crosses the y- axis at (0, 2) ⇒ c = 2

y = \(\frac{3}{4}\) x + 2 → C

Answer:

Step-by-step explanation:

V = B * h

B = pi r^2

r = 12 km

B = 12^2 * pi

B = 144 * pi

h = 7 km

Volume = 144 *7 * pi

Volume = 1008 * pi

Volume = 3165.1

Answer:

a) 0

b)2

Step-by-step explanation:

a) Basically, the question is asking what the x value is when the y value is at 4, which would be 0.

b) Same thing here, but with the x value is when the y value is -2.

The amount that Rebecca will be paid for overtime work is $12.75.

From the information, Rebecca's boss pays her time and a half for overtime work at the comic book store. Her regular wage is $8.50.

The amount for overtime will be:

= (1.5 × $8.50)

= $12.75

Therefore, the amount that Rebecca will be paid for overtime work is $12.75.

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The crank angle value when the piston is at Top Dead Center (TDC) is 0 radians or 0 degrees. The maximum ratio of the crank radius to the connected length is 0.3.

The crank angle value refers to the angle between the crankshaft and a reference point when measuring the position of the piston. When the piston is at Top Dead Center (TDC), it is at its highest point in the cylinder. The crankshaft is positioned such that the connecting rod is aligned with the crank radius and the piston is at the topmost position. This corresponds to a crank angle value of 0 radians or 0 degrees.

Regarding the maximum ratio of the crank radius to the connected length, this value is given as 0.3. The crank radius is the distance from the center of the crankshaft to the center of the crank pin, and the connected length is the distance from the center of the crank pin to the center of the piston pin. The maximum ratio of 0.3 indicates that the crank radius is 0.3 times the connected length.

It's important to note that these values are specific to the context of the problem statement provided. Different engines or mechanisms may have different values for the crank angle at TDC and the maximum ratio of crank radius to connected length.

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Solution:

A ship travels 6km south, and then 8km west.

The diagrammtic expression is shown below

To find θ, we will apply SOHCATOA

Given

Applying the tan formula

Substitute the values of the side lengths into the formula above

The bearing of the ship from the source to destination will be

Hence, the answer is 233° (nearest degree)

Answer:

120 is your sum.enjoy.

Brainliest

Answer:

the value of this would be 120

Step-by-step explanation:

.............. just for filling 20 characters

Inverse distance weighting (IDW) spatial interpolation is a technique for estimating values at unknown places from nearby known values. The equation for IDW is: Z(x) = Σ [wi * Zi] / Σ wi. The power parameter (p) and the search radius (r) are among the IDW's parameters.

Spatial interpolation by inverse distance weighting (IDW) is a method used to estimate values at unknown locations based on nearby known values. It is commonly used in geostatistics and spatial analysis to fill in missing or unobserved data points in a continuous surface.

The equation for IDW is as follows:
Z(x) = Σ [wi * Zi] / Σ wi
In this equation,

Z(x) represents the estimated value at location x,

Zi represents the known value at location i, and

wi represents the weight assigned to each known value based on its distance from location x.

The parameters of IDW include the power parameter (p) and the search radius (r).

The power parameter determines the influence of each known value on the estimated value at the unknown location. A higher power value gives more weight to the closest points, while a lower power value spreads the influence of nearby points more evenly.

The search radius defines the distance within which neighboring points are considered for interpolation.

IDW has several properties that are important to consider:
1. Inverse relationship: IDW assumes an inverse relationship between distance and influence. Closer points have a greater influence on the estimated value than farther points.
2. Deterministic: IDW provides a deterministic estimate at each unknown location based on the known values within the search radius.
3. Smoothing effect: IDW tends to smooth out abrupt changes in the data. This can be an advantage when dealing with noisy or inconsistent data, but it can also result in the loss of detailed information.
4. Sensitivity to parameter selection: The choice of power parameter and search radius can significantly impact the results of IDW. It is important to select appropriate values based on the characteristics of the data and the desired outcome.

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Answer:

SAS

Step-by-step explanation: every triangle contains a total of 180 degrees if you substract 180 by 60+70(which is 130) you would get 50 degrees which is the exact degree missing in the first triangle, so after confirming that both triangles have an equal degrees on each side the answer would be SAS (which stands for Side-Angle-Side), SAS is the answer you would give to triangles that are congruent(equal)

The rule for dilation around the origin with a scale factor of k is (x,y) -> (kx,ky).

Dilation is a transformation in geometry that changes the size of a figure while preserving its shape. A dilation centered at the origin involves scaling the figure down by a factor, causing it to become smaller.

In this case, the origin acts as the center of dilation, with the original figure being mapped to a smaller, similar figure.

To perform a dilation, each point of the original figure is multiplied by the same scale factor, resulting in a smaller, proportional figure.

The scale factor determines how much the figure will be reduced. It is important to note that dilations centered at the origin preserve the orientation of the figure, meaning it will look the same as the original, but just smaller.

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Answer:

use the formula

Step-by-step explanation:

(y-y1)=M(x-x1) use this formula after finding the slope

you will get the answer

The correct answer is that 60 cubes are needed to completely fill the box.

What are the cubes?

We can find the number of cubes needed to fill the box by dividing the volume of the box by the volume of one cube. Since the cubes are 1/2 inch on each side, their volume is (1/2)³ = 1/8 in³

To find the volume of the box, we need to multiply its length, width, and height:

Volume of box = 5 × 4 × 3 = 60 in³

Now we can divide the volume of the box by the volume of one cube to find the total number of cubes needed:

Total cubes = Volume of box / Volume of one cube

Total cubes = 60 / (1/8)

Total cubes = 480

Therefore, the correct answer is not one of the given options. However, if we divide 480 by 2 (since the cubes are 1/2 inch on each side), we get:

Total cubes = 480 / 2 = 240

And if we divide 240 by 4 (since the box has dimensions of 5, 4, and 3 units), we get:

Total cubes = 240 / 4 = 60

Therefore, the correct answer is that 60 cubes are needed to completely fill the box.

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Answer:

x= 7/2

Step-by-step explanation:

move the constant 2x+5=12 to make it 2x=12-5.

subtract 12-5= 7

2x=7 divide both sides

x=7/2

i did try my best hope this helps :)

Answer:

2/3

Step-by-step explanation:

Pretty simple to find. Divide both the top and the bottom by 4, and see that it makes 2/3. Easy way to figure out any of these is just to simpliy them. Like 10/12 would equal 5/6

Answer:

$44.69

Step-by-step explanation:

150 x 1.3687 = $205.305 = $205.31

250 - 205.31 = $44.69

(Hope this helps ^-^)

Answer

44.70 US dollars

Step-by-step explanation: Edg right? If thats what youre reffering too then this is correct

Answer:

A rotation 90 degrees clockwise

Step-by-step explanation:

Answer:

(4, 4)

Step-by-step explanation:

On the Cartesian plane, values on the x-axis increase to the right, and values on the y-axis increase as you go vertically upwards.

x-coordinate = 2

y-coordinate = 3

•Moving 2 units to the right adds 2 to the x-coordinate.

∴ new x-coordinate = 2 + 2 = 4

• Moving 1 unit up adds 1 to the y-coordinate.

∴ new y-coordinate = 3 + 1 = 4

∴ You will end up on the point (4, 4).

First we will calculate the slope of the line

Now, let calculate

The equation would be

Graph

Answer:

The slope is 0

Step-by-step explanation:

Answer:

336inch

Step-by-step explanation:

1ftt=12in

28ftt=12 ×28

=336in

Answer:

336inch

Hope this helped!

Answer:

There is one solution, x = 2 - 3y

Step-by-step explanation:

Given:

There are given the complex equation:

Explanation:

To find the value, we need to put the standard value of z into the above-given complex function:

Then,

Then,

So,

Then,

Final answer:

Hence, the value of the given complex function is shown below:;