If the length of a rectangle is L and the width is w, write an algebraic expression for the perimeter of the rectangle.

Tysm in advance!

Answer:

the method of solving by substitution works by solving one of the equations (you could choose which one) for one of the variables (you choose which one) and then plugging in this back into the other equation substituting for the chosen variable and solving for others then you back solve for the first variable (Your Welcome !)

Step-by-step explanation:

Answer: serbia

Step-by-step explanation:

Answer:Ok i will help you out

-11/4n - 1/8

Step-by-step explanation:

Cause yes and most likely is it

Source: Trust me + I did the math(dunno correct) just try tho

How much she saved = what she planned to spend - how much she actaully spent

how much she planned to spend => $48 x 2(average amount per cup cake) = $96

amount spent = $12

Amount saved = $96 - $ 12 =$84

Answer:

Step-by-step explanation:

The numbers for the faculty members are

select: 83, 58, 64, 26, 47, 68, 29, 4, 78

23 comma 80 comma 37 comma 65 comma 54 comma 64 comma 70 comma 56 comma 9.

​(Use a comma to separate answers as​ needed.)

​(b) The president uses technology to produce the following random numbers.

Determine the numbers for faculty members who will be included in the sample.

Answer:

x = 24 degrees

Step-by-step explanation:

A line is 180 degrees. If we are given that angle BOC is 156 degrees, we can subtract that from 180. 180 - 156 = 24.

Pls mark brainliest.

Answer:

0.0631 = 6.31% probability that his/her vitamin D level will be between 36.84 and 39.73 ng/mL

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The population average level of vitamin D in US landscapers was found to be 30.8 ng/mL with a standard deviation of 4.371 ng/mL

This means that \(\mu = 30.8, \sigma = 4.371\)

What is the likelihood that his/her vitamin D level will be between 36.84 and 39.73 ng/mL?

This is the pvalue of Z when X = 39.73 subtracted by the pvalue of Z when X = 36.84.

X = 39.73

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{39.73 - 30.8}{4.371}\)

\(Z = 2.04\)

\(Z = 2.04\) has a pvalue of 0.9793

X = 36.84

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{36.84 - 30.8}{4.371}\)

\(Z = 1.38\)

\(Z = 1.38\) has a pvalue of 0.9162

0.9793 - 0.9162 = 0.0631

0.0631 = 6.31% probability that his/her vitamin D level will be between 36.84 and 39.73 ng/mL

The transformations taking place in the given function is a horizontal left ward shift of 9 units and 1 unit upward vertical shift.

A Transformation in Math is a process of moving an object (two-dimensional shape) from its original position to a new position.

Given that, a function f(x) undergo some transformations to become f(x+9)-1,

We know that,

Vertical Shifting:

Adding a constant to a function will shift its graph vertically (i.e. y = f (x) + c). Adding a positive constant c will shift the graph upward c units, while adding a negative constant c will shift it downward c units.

Horizontal Shifting:

Horizontal shifts are inside changes that affect the input (x-) axis values and shift the function left or right. Combining the two types of shifts will cause the graph of a function to shift up or down and right or left.

Therefore, there is transformation of a horizontal and vertical shift.

Hence, the transformations taking place in the given function is a horizontal left ward shift of 9 units and 1 unit upward vertical shift.

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Answer:

7x+12

Step-by-step explanation:

You do 10x-3x since they both have the x variable they can be combined to make 7x and the 12 is left alone.

Answer:

7x + 12

Step-by-step explanation:

irs gonna go like

10x -3x =7x

and the answer is

7x+12

Answer:

y=(-3/2)x+16

Step-by-step explanation:

The length of the platoon is an illustration of multidimensional arrangements

The length of the platoon is 30 meters

The number of students is given as:

\(\mathbf{n = 120}\)

The number of columns is given as:

\(\mathbf{Columns = 4}\) -- i.e. the number of students on a row

Start by calculating the number of rows using:

\(\mathbf{Rows \times Columns = n}\)

So, we have:

\(\mathbf{Rows \times 4 = 120}\)

Divide both sides by 4

\(\mathbf{Rows = 30}\)

In adjacent rows, there is a distance of 1 meters.

So, the length of the row is:

\(\mathbf{Length = 30 \times 1 m}\)

\(\mathbf{Length = 30 m}\)

Hence, the length of the platoon is 30 meters

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Answer:

1)  The functions are not inverses.

\(\textsf{2)} \quad g^{-1}(n)=&\dfrac{3}{8}n-\dfrac{7}{8}\)

\(\textsf{3)} \quad g^{-1}(x)&=\sqrt[3]{\dfrac{1}{2}-\dfrac{1}{2}x}\)

Step-by-step explanation:

The inverse composition rule states that if two functions are inverses of each other, then their compositions result in the identity function.

Given functions:

\(g(x) = 4 + \dfrac{7}{2}x \qquad \qquad f(x) = 5 - \dfrac{4}{5}x\)

Find g(f(x)) and f(g(x)):

\(\begin{aligned} g(f(x))&=4+\dfrac{7}{2}f(x)\\\\&=4+\dfrac{7}{2}\left(5 - \dfrac{4}{5}x\right)\\\\&=4+\dfrac{35}{2}-\dfrac{14}{5}x\\\\&=\dfrac{43}{2}-\dfrac{14}{5}x\\\\\end{aligned}\)                 \(\begin{aligned} f(g(x))&=5 - \dfrac{4}{5}g(x)\\\\&=5 - \dfrac{4}{5}\left(4 + \dfrac{7}{2}x \right)\\\\&=5-\dfrac{16}{5}-\dfrac{14}{5}x\\\\&=\dfrac{9}{5}-\dfrac{14}{5}x\end{aligned}\)

As g(f(x)) or f(g(x)) is not equal to x, then f and g cannot be inverses.

\(\hrulefill\)

To find the inverse of a function, swap the dependent and independent variables, and solve for the new dependent variable.

Calculate the inverse of g(n):

\(\begin{aligned}y &= \dfrac{8}{3}n + \dfrac{7}{3}\\\\n &= \dfrac{8}{3}y + \dfrac{7}{3}\\\\3n &= 8y + 7\\\\3n-7 &= 8y\\\\y&=\dfrac{3}{8}n-\dfrac{7}{8}\\\\g^{-1}(n)&=\dfrac{3}{8}n-\dfrac{7}{8}\end{aligned}\)

Calculate the inverse of g(x):

\(\begin{aligned}y &= 1-2x^3\\\\x &= 1-2y^3\\\\x -1&=-2y^3\\\\2y^3&=1-x\\\\y^3&=\dfrac{1}{2}-\dfrac{1}{2}x\\\\y&=\sqrt[3]{\dfrac{1}{2}-\dfrac{1}{2}x}\\\\g^{-1}(x)&=\sqrt[3]{\dfrac{1}{2}-\dfrac{1}{2}x}\\\\\end{aligned}\)

Answer:

1.

If the composition of two functions is the identity function, then the two functions are inverses. In other words, if f(g(x)) = x and g(f(x)) = x, then f and g are inverses.

For\(\bold{g(x) = 4 + \frac{7}{2}x\: and \:f(x) = 5 -\frac{4}{5}x}\), we have:

\(f(g(x)) = 5 - \frac{4}{5}(4 + \frac{7}{2}x)\\ =5 - \frac{4}{5}(\frac{8+7x}{2})\\=5 - \frac{2}{5}(8+7x)\\=\frac{25-16-14x}{5}\\=\frac{9-14x}{5}\)

\(g(f(x)) = 4 + (\frac{7}{5})(5 - \frac{4}{5}x) \\=4 + (\frac{7}{5})(\frac{25-4x}{5})\\=4+ \frac{175-28x}{25}\\=\frac{100+175-28x}{25}\\=\frac{175-28x}{25}\)

As you can see, f(g(x)) does not equal x, and g(f(x)) does not equal x. Therefore, g(x) and f(x) are not inverses.

Sure, here are the inverses of the functions you provided:

2. g(n) = (8/3)n + 7/3

we can swap the roles of x and y and solve for y to find the inverse of g(n). In other words, we can write the equation as y = (8/3)n + 7/3 and solve for n.

y = (8/3)n + 7/3

n =3/8*( y-7/3)

Therefore, the inverse of g(n) is:

\(g^{-1}(n) = \frac{3}{8}(n - \frac{7}{3})=\frac{3}{8}*\frac{3n-7}{3}=\boxed{\frac{3n-7}{8}}\)

3. g(x) = 1 - 2x^3

We can use the method of substitution to find the inverse of g(x). We can substitute y for g(x) and solve for x.

\(y = 1 - 2x^3\\2x^3 = 1 - y\\x = \sqrt[3]{\frac{1 - y}{2}}\)

Therefore, the inverse of g(x) is:

\(g^{-1}(x) =\boxed{ \sqrt[3]{\frac{1 - x}{2}}}\)

Answer: Red

Step-by-step explanation:

Personally, you should get a better phone than an iPhone 7

Answer: iPhone

Step-by-step explanation:

Ok, so to answer this question you need to do a simple formula: eenie-meenie-miney-moe.  Or just choose which color you like better... although I don't think iPhone makes iPhone 7's anymore (as of 2022).

Sorry if this doesn't help very much.

I would choose red if you seriously cannot choose.

Answer:

 11.6 (6 is repeating)

Step-by-step explanation:

1.75 divided by 15% of 75

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

7

Step-by-step explanation:

Considering the discrete probability distribution, it is found that:

a) The mean is of: 6.3

b)

The mean of the distribution is given by the sum of each outcome multiplied by it's probability, hence it is obtained as follows:

E(X) = 0.1 x 2 + 0.3 x 5 + 0.4 x 7 + 0.2 x 9 = 6.3.

The variance of the distribution is given by the sum of the difference squared between each observation and the mean, multiplied by it's probability, hence it is obtained as follows:

Var(X) = 0.1 x (2 - 6.3)² + 0.3 x (5 - 6.3)² + 0.4 x (7 - 6.3)² + 0.2 x (9 - 6.3)² = 4.01.

The standard deviation is the square root of the variance of the distribution, hence it is obtained as follows:

S(X) = sqrt(4.01) = 2.

We have that:

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Answer: D

Step-by-step explanation:

Answer:

1/2 or 0.5

Step-by-step explanation:

Multiply 1/4 by 2/1

2/4

Simplify

1/2

Hope this helped :)

Answer:

0.5

Step-by-step explanation:

(1/4) 2

Multiply 1/4 = 0.25 and 2 to get 2/4 = 0.5

2/4 = 0.5

Reduce the fraction 2/4 = 0.5 to lowest terms by extracting and canceling out 2.

1/2 = 0.5

Answer:

Step-by-step explanation:

The volume of this pyramid in cubic inches is 16.

Given that,

The base and height is 8 and 6.

Based on the above information, the calculation is as follows:

The volume is

= 16

Answer:

Radius, r = 26.57 cm and diameter = 53.14 cm

Step-by-step explanation:

Given that,

The circumference of a coin, C = 167 cm

We need to find the radius and the diameter of the coin.

The formula for the circumference of a circle is given by :

\(C=2\pi r\)

Where

r is radius of coin

\(r=\dfrac{C}{2\pi}\\\\r=\dfrac{167}{2\pi}\\\\r=26.57\ cm\)

Diameter, d = 2r

d = 2(26.57) cm

= 53.14 cm

Hence, this is the required solution.

Answer:

The answer is Offer 3 because it has the lowest total loan cost of the offers with a monthly payment in his budget

Answer: c, offer 3

Step-by-step explanation: just did the quiz

Answer:

Step-by-step explanation:

Since EF = 20 and E is at 4

F is at:

Answer:

I'm sure it's already all the way simplified since there are no common terms

I could he wrong but I dont think theres anything more you can do since they are all their own different term

Step-by-step explanation:

for example if it was 7x-2x-1 then you would subtract 7x and 2x and then it would come put to be 5x-1

hope this helped at all

The simplified expression of (−2k + 3kª + 2k³) − (−12k – k³ + 8) is 10k + 3kª + 3k³ - 8.

Let's simplify the expression step by step:

(−2k + 3kª + 2k³) − (−12k – k³ + 8)

First, let's distribute the negative sign to the terms inside the second parentheses:

−2k + 3kª + 2k³ + 12k + k³ - 8

Next, let's combine like terms:

(-2k + 12k) + (3kª + k³) + (2k³ - 8)

Simplifying further:

10k + 3kª + k³ + 2k³ - 8

Combining the terms with k³:

10k + 3kª + 3k³ - 8

So, the simplified expression is 10k + 3kª + 3k³ - 8.

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Answer:

(a) 0.0855

(b) 0.0268

(c) 0.0319

Step-by-step explanation:

The p-value is well defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or greater than what was truly observed.

A small p-value (typically p ≤ 0.05) specifies sturdy proof against the null hypothesis (H₀), so we discard H₀. A large p-value (p > 0.05) specifies fragile proof against the H₀, so we fail to discard H₀.

(a)

Use the Excel function "=T.DIST.RT(1.465,11)" to compute the right-tailed p-value for a test statistic of, t = 1.465 and s degrees of freedom of, df = 11.

p-value = 0.0855

(b)

Use the Excel function "=T.DIST.2T(2.522,12)" to compute the two-tailed p-value for a test statistic of, t = 2.522 and s degrees of freedom of, df = 12.

p-value = 0.0268

(c)

Use the Excel function "=T.DIST(-1.952,22,TRUE)" to compute the left-tailed p-value for a test statistic of, t = -1.952 and s degrees of freedom of, df = 22.

p-value = 0.0319

Answer:

Step-by-step explanation:

TRUE

All isosceles triangles have at least 2 acute angles due to 2 sides are equal.

The exterior angle of an equilateral triangle is obtuse.

If the perimeter of an equilateral triangle is P, then the length of each of the sides is P/3.

FALSE

All isosceles triangles are equilateral triangles.

If you know the length of one of the legs of an isosceles triangle, you can determine it’s the perimeter

The true and false statements need to be identified.

1. true

2. true

3. false

4. false

5. true

In an isosceles triangle two angles are equal.

Let the equal angle be \(x\) and the other angle be \(y\)

The sum of angles is \(180^{\circ}\)

\(x+x+y=180\\\Rightarrow y=180-2x\)

Now the value of \(x\) cannot be \(90^{\circ}\) or greater because

\(y=180-2\times 90=0\)

\(x\) has to be less than \(90^{\circ}\).

The two equal angles must always be acute.

So, the statement is true.

If the side of an equilateral triangle is \(\dfrac{P}{3}\)

Perimeter will be

\(\dfrac{P}{3}+\dfrac{P}{3}+\dfrac{P}{3}=P\)

The statement is true.

An isosceles triangle that has the legs equal and also the base equal is called an equilateral triangle.

In an isosceles triangle the base may not be equal to the other two sides.

The statement is false.

Let \(x=1\ \text{unit}\) be the length of the equal sides and \(y\) the length of the other side

Permiter is

\(P=x+x+y\\\Rightarrow P=2x+y\\\Rightarrow P=2\times 1+y=2+y\)

Since, the other side is not know the perimeter cannot be found.

The statement is false.

In an equilateral triangle all angles are \(60^{\circ}\)

Exterior angle is found by subtracting the interior angle from \(180^{\circ}\)

So, for an equilateral triangle the exterior angles will always be \(180-60=120^{\circ}\)

The angles is greater than \(90^{\circ}\) always.

The statement is true.

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Answer:

y = 12 x = 12\(\sqrt{3}\)

Step-by-step explanation:

This is a 60, 90, 30. It's a special triangle.

2z = 24

z = 12

If x = z\(\sqrt{3}\)

then x = 12\(\sqrt{3}\)

y = z itself

So y = 12