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3 years ago

What each word means, in your own words

1 answer:

4 0

Rotation - Rotation is a plane transformation that rotates every point in a figure through a given angle and direction on a fixed point.

Transformation - Transformation is a process that alters the shape and or position of a point, a line, or a geometric figure.

Translation - Translation occurs when a figure is relocated from one position to another without changing its size, shape, or orientation.

Dilation - Dilation is a transformation that alters the size of a figure, whether enlarging or shrinking it, but it has no effect on the shape of the figure.

Angle of Rotation - Angle of Rotation is the amount that a figure is rotated about a fixed point referred to as the point of rotation.

Line of Reflection - Line of Reflection is a transformation in which each point in a shape appears at an equal distance on the opposite side of a given line.

Hope this helps!!

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What is the value of x in 5x−3(x−11)=7(2x−5)+2

riadik2000 [5.3K]

The value of x is 5.5. I got this answer by first distributing -3 amongst (x-11), and distributing 7 amongst (2x-5). Next I combined like terms and subtracted 3x from 5x, and added -35 and 2. Next I subtracted 33 from both sides. Next I subtracted 14x from both sides. And finally I divided both sides by -12 to get the final answer of 5.5.

4 0

3 years ago

You work for a rental car company. If customers return a car with under half a tank of gas, they are charged $7.50 per gallon of

expeople1 [14]

Answer:

The correct answer is C. $ 39.89

Step-by-step explanation:

1. Let's review the information given to us to answer the questions correctly:

Tank capacity = 21 gallons

Cost of gallon of gas when the car is returned with under half a tank = $ 7.50

Cost of gallon of gas when the car is returned with more than half a tank = $ 5.75

Gas in the tank of the rental car = 1,800 fluid ounces

2. How much should you charge the customer to fill the tank?

Let's recall that 1 gallon = 128 fluid ounces

Now, we will answer the question this way, converting the tank capacity from gallons to fluid ounces:

Capacity of the gas tank = 21 * 128 = 2,688 fluid ounces

Like 1,800 is above the 50% of the tank, we will charge $ 5.75 per gallon to fill up the tank

Now, we calculate the cost of gas per fluid ounce, this way:

Cost per fluid ounce = 5.75/128 = $ 0.04492

Finally, we calculate how many fluid ounces the customer has to pay this way:

We will charge the customer = (2,688 - 1,800) * 0.04492

We will charge the customer = $ 39.89

The correct answer is C. $ 39.89

7 0

3 years ago

2. X 0 4 7 10 13 y -5 -5 -5 -5 -5 Domain: ______________________ Range: _______________________ Function? _______

LenKa [72]

Answer:

$Domain =\{0,4,7,10,13\}$

$Range = \{-5\}$

$y = -5$ --- function

Step-by-step explanation:

Given

$\begin{array}{cccccc}x & {0} & {4} & {7} & {10} & {13} \ \\ y & {-5} & {-5} & {-5} & {-5} & {-5} \ \end{array}$

Solving (a): The domain

The x values represent the domain.

Hence, the domain is:

$Domain =\{0,4,7,10,13\}$

Solving (b): The range

The y values represent the range

Hence, the range is:

$Range = \{-5\}$

Solving (c): The function

By observation, we can see that for all values of x the value of y remains unchanged (-5)

Hence, the function is:

$y = -5$

6 0

3 years ago

The ratio of peanuts to raisins in a bag of trail mix is 1 to 5. If there are 100 peanuts in the bag, how many raisins are there

stiks02 [169]

Answer:

500

Step-by-step explanation:

set up a ratio

1 p/5r = 100p/x

x = 500

7 0

3 years ago

An agricultural field trial compares the yield of two varieties of tomatoes for commercial use – one is the common variety used

miv72 [106K]

Answer:

p-value 0.0124

Step-by-step explanation:

Hello!

In this experiment, 10 plots were randomly sampled and each plot was divided in a half, one half was planted with the common variety of tomato and the other half was planted with the new hybrid variety. At harvest time it was measured the pounds per plant harvested and the variable difference was established. This study variable is defined as the difference between the pounds per plant of the hybrid variety minus the pound per plant of the common variety. Symbolized: Xd: Xnew - Xcommon.

The purpose of this experiment is to test whether there is a difference between the yield of both species. This is a classic example of a paired test, in which you want to put two dependent samples to test. The easiest way to recognize this type of test, if it is not specified in the problem, is that both variables are measured in the same sampling unit. In this case, the sampling unit is "one plot" that was divided and both verities of tomatoes were planted on it.

This test is also called "paired samples T-test" and as a statistic, you have to use the Student t.

The data given is:

sample: 10 plots

sample mean: Xd[bar]: 1.05ppp

sample standard deviation Sd: 1.23ppp

If the hybrid has a higher yield, that would mean that the difference between them would be positive if the difference is positive, its safe to assume that the population mean of the difference will be positive as well. Symbolically: μd>0

With this, you can state the hypothesis as:

H₀:μd≤0

H₁:μd>0

α: 0.05

t= Xd[bar] - μd ~ $t_{n-1}$