Shana wants to use all 62 feet of the fencing she has to make a rectangular run for her dog. She decides to make the length of the run 20 feet. She writes and solves the equation 2 l plus 2 w equals 62 to find the width of the run.

Which statements are true of the solution? Check all that apply.

The value of w is 10 feet.
The value of w can be zero.
The value of w cannot be a negative number.
Substitution is used to replace the variable l with a value of 20.
The subtraction property of equality is used to isolate the term with the variable w.

The linear function which represents a slope of -3 as required in the task content is; A two column table with five rows. The first column, x, has the entries, negative 5, negative 1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8.

It follows that the task requires that a linear function whose slope, i.e rate of change is -2 is to be determined.

Since slope is the rate of change in y with respect to x;

The required linear function is; A two column table with five rows. The first column, x, has the entries, -5, -1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8 so that we have;

Slope = (24 - 32) / (-1 -(-5)) = -8 / 4 = -2.

Remarks: The complete question is such that the required slope is -2.

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Answer: the second option

Step-by-step explanation:

i took the assignment

Answer:

32

Step-by-step explanation:

Add up all the numbers and then divide by how many numbers there are.

Answer: letter d

Step-by-step explanation:

Answer:

Ball D. Among the four balls in this picture, ball D is the only one whose kinetic energy is greater than \(0\).

Step-by-step explanation:

Consider an object of mass \(m\). If this object is moving at a speed of \(v\), the kinetic energy of this object would be:

\(\displaystyle \frac{1}{2}\, m \cdot v^{2}\).

The speed \(v\) of ball A, B, and C are all \(0\).  Hence, the kinetic energy of these three balls would be \(0\!\).

The speed of ball D is greater than \(0\): \(v = 2\; \rm m \cdot s^{-1}\). The kinetic energy of this ball would be:

\(\begin{aligned} {\rm KE} &= \frac{1}{2}\, m \cdot v^{2} \\ &= \frac{1}{2}\times \rm 0.43\; \rm kg \times \left(2\; \rm m \cdot s^{-1}\right)^{2}\\ &= 0.86\; \rm J\end{aligned}\).

Hence, the kinetic energy of ball D is the greatest among the four balls in this picture.

The statement which best describes Gary’s error is; Gary did not use the greatest common factor in the equation.

This is the largest positive integer or polynomial that is a divisor of several different numbers. For instance, the greatest common divisor of 66, 30 and 18 is 6.

Gary's work:

66 + 36

Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

66 + 36

= 3 (22 + 12)

Gary did not use the greatest common factor in the equation.

The correct answer:

66 + 36

= 6(11 + 6)

Therefore, Gary did not use the greatest common factor in the equation.

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Answer:

13.85 million $

Step-by-step explanation:

the man just add 12.35 and 1.5

therefore = 13.85 million $

Answer:

Length of cloth left in roll  = 23 m

Step-by-step explanation:

Given:

Length of piece Kamisah cut = 2 m

Percent of piece Kamisah cut = 8%

Find:

Length of cloth left in roll

Computation:

Total Length = 2 [100/8]

Total Length = 25 m

Length of cloth left in roll  = Total Length - Length of piece Kamisah cut

Length of cloth left in roll  = 25 - 2

Length of cloth left in roll  = 23 m

Answer:

48,236.7

Step-by-step explanation:

40,000 + 8,000 + 200 + 30 + 6 + 7/10

7/10 can also be written .7

Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

Answer:

21 and 26 totaling 47sticks

Step-by-step explanation:

Th number of sticks form an arithmetic progression

1, 6, 11, 16...

The nth term of an arithmetic progression is expressed as;

Tn = a+(n-1)d

a is the first term = 1

d is the common difference

d = 6-1 = 11-6 = 5

n is the number of terms

The next two terms are the fifth and sixth term

T5 = 1+(5-1)5

T5 = 1+4(5)

T5 = 1+20

T5 = 21

T6 = 1+(6-1)5

T6 = 1+5(5)

T6 = 1+25

T6 = 26

Hence the number of sticks needed in the next two piles are 21 and 26 totaling 47sticks

The number of minutes for 20 bacteria be left is 439minutes. The decay constant is 0.0081

An exponential function is a mathematical function, which is used in many real-world situations. It is mainly used to find the exponential decay or exponential growth or to compute investments, model populations and so on.

The No of bacteria left at a particular time t is given as N(t)= Noe^-kt

where No= initial number of bacteria

k= decay constant and t = time

after 13 minutes

630= 700e^-13k

divide both sides by 700

630/700= e^-13k

0.9= e^-13k

ln0.9= -13k

k= ln0.9/-13 = -0.1054/-13 = 0.0081

time for 20 bacteria to be left =

20= 700e^-0.0081t

= 20/700=e^-0.0081t

0.0286= e^-0.0081t

ln0.0286= -0.0081t

-3.554= -0.0081t

divide both sides by -0.0081

t= -3.554/-0.0081= 439 minutes ( nearest minutes)

therefore the time for the bacteria to be left is 439minutes

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Answer:

Slope:  − 1

y-intercept:  ( 0 , 0.25 )

Step-by-step explanation:

y=mx+b

Hope this helps!!!

Answer: banana- 88

Orange-55

Apple-143

Step-by-step explanation:

220 divided by 5, times 2,

that’s the banana trees

220 divided by 4, that’s the oranges

Add the answers together

Take the answer away from 220 that’s the apples

Answer:

ANSWER

Step-by-step explanation:

Without knowing the specific function w(x), it is impossible to determine the domain of the inverse function w^-1(x). However, in general, the domain of an inverse function is the range of the original function, and vice versa.

If we assume that w(x) is a one-to-one function (which is necessary for it to have an inverse function), we can determine the range of w(x) and use it to find the domain of w^-1(x).

For example, if we know that w(x) is a function that takes all real numbers except x=2, then the range of w(x) is (-∞,2) U (2,∞). The domain of w^-1(x) is then the same as the range of w(x), which is (-∞,2) U (2,∞). Therefore, the domain of w^-1(x) is x ≠ 2.

Without more information about w(x), we cannot determine the domain of w^-1(x) more precisely.

Answer:

\(9.35 \le M \le 9.45\)

Step-by-step explanation:

Given

\(M = 9.4\) to 1 d p

Required

The error interval

The error interval is represented as:

\(Lower \le M \le Upper\)

Where

\(Lower = M - 0.05\)

\(Upper = M + 0.05\)

So, we have:

\(Lower = M - 0.05\)

\(Lower = 9.4 - 0.05\)

\(Lower = 9.35\)

\(Upper = M + 0.05\)

\(Upper = 9.4 + 0.05\)

\(Upper = 9.45\)

Hence, the error interval: \(Lower \le M \le Upper\) is:

\(9.35 \le M \le 9.45\)

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

8

Step-by-step explanation:

we conformed the 8s by 4 and 3

The least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

The equation in this problem is given as follows:

1/x + 2/(x - 3) = 5.

The denominators of each expression are given as follows:

x and x - 3 are not factors of each other, hence we multiply them and the least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

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Answer:

AB = 13.96 cm

Step-by-step explanation:

I suppose your wedge like the picture attached, otherwise you can ajust the calculations by yourself

AC² = FA² - CF² = 400 - 36 = 364

AB² = AC² - BC² = 364 - 169 = 195

AB = √195 = 13.96

The value of the h is A(2) / b when the formula is A = 1/2bh the formula is area of the triangle.

Given that,

We have a formula A = 1/2bh

We have to find h value from the formula.

We know that,

The variable h should be on one side of the equation, and the rest should be on the other. Divide the two sides in half as a good place to start. In this way, we eliminate the undesirable fraction.

A / 1/2 = 1/2bh / 1/2

Now on the right hand side left the 1/2 cancels out.

A / 1/2 = bh

And when a fraction is divided, the result is the same as multiplying it backwards.

A(2/1) = bh

Now, divide both sides by b.

A(2) / b = bh/b

On the left hand side b cancels out and we are left with the final product.

h = A(2) / b

Therefore, The value of the h is A(2) / b when the formula is A = 1/2bh the formula is area of the triangle.

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Answer:

He saved $121

Step-by-step explanation:

All you have to do is divide $726/6 which gives you $121.

1. Answer: C) stemplot with a large outlier

The large outlier will skew the data to make it nonnormal. A moderate skew isn't as bad as a large one, so choice A is a fairly safer choice to go with in terms of using the T procedure. The size of the standard deviation does not affect the normality of the distribution.

============================================

2. Answer: A) Teacher comparing pre-test and post-test results

A matched pairs design is basically a before and after sort of thing, most of the time anyway. Each person's pre-test score is paired up with their post-test score to see if any significant improvement has been made. This is also known as a paired T test

============================================

3. Answer: C) You may use the t procedure, provided your sample size is large, say at least fifty.

Some textbooks say n > 30 is sufficient. It will depend on the textbook and your teacher of course. The idea is that if n is large enough, then by the CLT (central limit theorem), the distribution of sample means will be approximately normal, which allows you to use the T procedure and T distribution even if the underlying distribution may not be normal and/or skewed.

The statement third "Betty wrote an indirect proof using contradiction' and statement fourth "Ken wrote direct proof using deductive evidence" are correct.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

We have Ken's statements are shown in the table:

Angle AOC = Angle BOD (given)

Angle AOB + Angle BOC = Angle BOC + Angle COD   (angle addition postulate)

Angle AOB = ANgle COD (subtraction property of equality)

Ken wrote direct proof using deductive evidence.

As we can in betty's proof:

Betty wrote an indirect proof using contradiction.

Thus, the statement third "Betty wrote an indirect proof using contradiction' and statement fourth "Ken wrote direct proof using deductive evidence" are correct.

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* Note: This was answered with the assumption that you are asking for both the slope and y-intercept in a y = mx + b formula, which matches the letter choice a. seen at the very bottom. I also probably could've explained this problem in a simpler, concise manner, but I wanted to show the appropriate formula that will work even if you have to find y = mx + b without a graph.

y = 3x - 5

I noticed the letter choice a. at the bottom of the question. It seems as though this problem would like a y = mx + b format, so that is what I will provide. Remember, m is the slope, and b is the y-intercept.

First things first, let's find the slope.

This time around, let's use the formula y2-y1/x2-x1. In order to do this, we must identify and pick two coordinate pairs (x, y). After observing the graph and its data, I came up with the two coordinates: (1, -2) and (2, 1).

Now that we have decided on the points, we can choose one of them for x1 and y1, and the other for x2 and y2. The 1's in the formula y2-y1/x2-x1 must be in the same coordinate pair; the same goes for the 2's in the formula. It doesn't particularly matter which one you label as which. Let's say (x1, y1) is (1, -2) and (x2, y2) is (2, 1). This means x1 is 1, x2 is 2, y1 is -2, and y2 is 1.

Alright - we have our values. Next, we simply insert them into the formula. For example, since y2 is 1, we simply replace the y2 in y2-y1/x2-x1 with its value: 1. After doing so, our new formula becomes 1-(-2)/2-1.

Let's calculate each side of our formula now! For 1-(-2), we have to deal with two negatives in a row (subtraction sign and the negative attached to -2). In this case, all we have to do is combine the two negatives to make a positive. In other words, 1-(-2) becomes 1+2. 1 + 2 = 3. So, 1-(-2) can be simplified as 3. The other side, 2-1, is a lot simpler. We simply subtract 1 from 2. 2 - 1 = 1. So, 2-1 can be simplified to 1.

After rewriting our slope formula with the new values, we have 3/1. The / is the same thing as division, or ÷. 3 ÷ 1 = 3. So, our slope is 3.

Okay, slope is out of the way. Keep that slope/m = 3 tucked away in your brain for later - we'll need it. As of right now, though, we now have to find the y-intercept.

This step is actually really easy. The y-intercept is literally just the value of y when the value of x is 0. On a graph, whatever value y is at when the line intercepts/touches the y-axis, that will be the y-intercept.

The line intercepts -5. Therefore, our y-intercept is -5.

Great! We've found our slope and our y-intercept. Our last step is to combine both of these values in the format I mentioned at the beginning. That is, the formula y = mx + b. As stated earlier, m stands for the slope, whilst b stands for the y-intercept. (By the way, y stands for y and x stands for x. These will not change into a specific value we must find for this question.) We've discovered that the slope is 3 and the y-intercept is -5. We can insert these to come up with y = 3x + (-5). Since adding a negative is the same thing as subtracting, our final formula is y = 3x - 5.

Therefore, the equation of the line shown in the graph, according to y = mx + b, is y = 3x - 5.

Answer:

Starting with AT LEAST 2 A's means starting with 3 A's, or starting with 2 A's with some different letter third.

P(AAA...) = (3/9)(2/8)(1/7) = 1/84

Step-by-step explanation:

Answer:

Exact form: 215/12

decimal form: 17.916

mixed number: 17 11/12

Step-by-step explanation: