find the derivatives of cos ​

The expression that represents the perimeter of the rectangle is 8x - 14

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles. The opposite sides of the rectangle are equal in length which makes it different from a square.

Length of rectangle(L) = x - 4

Width of rectangle(W) = 3x - 3

Perimeter of rectangle = 2(L + W)

L =  x - 4, W = 3x - 3

Perimeter of rectangle = 2( x - 4 + 3x - 3)

Perimeter of rectangle = 2( 4x - 7) which is 8x - 14

In conclusion 8x - 14 is the expression for the perimeter of the rectangle

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Answer:

3x3 should be the maximum dimensions of a rectangle with a perimeter of 12.

Answer:

√130

Step-by-step explanation:

                              |

          ?                  |         7

                              |

---------------------------

            9

a² + b² = c²

7² + 9² = c²

49 + 81 = c²

130 = c²

√130 = √c²

√130 = c

I hope this helps!

Answer: $7

Step-by-step explanation:

We know that $28 for four people.

So we take 28 divided by 4 and we get $7 per people

Answer:

460000 milligrams converted to pounds would be 1.01 pounds.

Step-by-step explanation:

Ques) What is the symbol (∑)?

This symbol is used to denote the sum of multiple numbers.

This symbol is generally put by an index that varies to encompass all terms that must be considered in the sum of all the numbers.

In order to calculate the arithmetic mean of a set of data, the first step is to add up (sum) all of the data values (x) and then divide the result by the number of values (n). Since ∑ is the symbol used to indicate that values are to be summed (see Sigma Notation) we obtain the following formula for the mean

Mean = ∑ x/n

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Answer:

Neither

Step-by-step explanation:

Line d:

m = 4-9/2-6 = -5/-4 = 5/4

Line e:

m = 7-3/10-5 = 4/5

It would be neither because if it was perpendicular, one of the slopes' would have to be negative.

Answer:

a₁ = -27

a₂ = -32

a₃ = -37

a₄ = -42

a₅ = -47

a₅₂ = -282

Step-by-step explanation:

An explicit formula for an arithmetic sequence allows you to find the nth term of the sequence.

Given explicit formula:

[tex]a_n=-5n-22[/tex]

To find the first 5 terms, substitute n = 1 through 5 into the given formula:

[tex]\begin{aligned}\implies a_1&=-5(1)-22\\&=-5-22\\&=-27\end{aligned}[/tex]

[tex]\begin{aligned}\implies a_2&=-5(2)-22\\&=-10-22\\&=-32\end{aligned}[/tex]

[tex]\begin{aligned}\implies a_3&=-5(3)-22\\&=-15-22\\&=-37\end{aligned}[/tex]

[tex]\begin{aligned}\implies a_4&=-5(4)-22\\&=-20-22\\&=-42\end{aligned}[/tex]

[tex]\begin{aligned}\implies a_5&=-5(5)-22\\&=-25-22\\&=-47\end{aligned}[/tex]

To find the 52nd term, substitute n = 52 into the given formula:

[tex]\begin{aligned}\implies a_{52}&=-5(52)-22\\&=-260-22\\&=-282\end{aligned}[/tex]

The Height of trees are equal after 4 years and the height is 54 inches.

A linear equation is a equation which draws straight line on the plot

when plotted.

Given,

Height of tree A at the time of planting = 38 inches

Height of tree B at the time of planting = 22 inches

Each year  tree A grow = 4 inches

Each year  tree B grow = 8 inches

Let's make an equation for the height of the trees,

H = 38 +4t

H = 22+8t

Now the time when height of both the trees will equal

38 + 4t = 22 + 8t

4t = 16

t = 4

Hence , After 4 years the height of both the trees will equal and the height of both the trees after 4 years will be 54 inches.

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The values that make the inequality, h < 3h < 3, true are the values of h in the range 0 < h < 1. The values -5, -2, 0, 2, 2.9, 2.99, 2.999, 3, 3.001, 3.01, 3.1, 4, 6, 8, 11, are larger or smaller than the values make the inequality true.

An is a comparison between two expressions, using non equal expressions, such as ≥, >, ≠,  <, or ≤ symbols.

The specified inequality is; h < 3·h < 3

When h < 3·h, we get;

h is a positive number larger than 0, such that we get;

When h < 0, 3·h < h

Therefore; h > 0

The inequality, 3·h < 3, indicates;

3·h < 3

h < 3/3 = 1

h < 1

Which indicates that we get;

0 < h < 1

Therefore, non of the values make the inequality, h < 3·h < 3

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The measure of the numbered angles are:

m ∠1 = 42°

m ∠2 = 48°

m ∠3 = 132°

m ∠4 = 90°

From the question, we are to determine the measure of each numbered angle.

From the given information,

Line l is parallel to line m and line PQ is perpendicular to line RQ.

Since line PQ is perpendicular to line RQ,

Then, we can write that

48° + m ∠1 = 90°

m ∠1 = 90° - 48°

m ∠1 = 42°

Also,

Since line PQ is perpendicular to line RQ,

m ∠4 = 90°

Since line l is parallel to line m,

m ∠2 = 48° (Alternate interior angles)

m ∠3 + m ∠2 = 180° (Linear pair theorem)

m ∠3 + 48° = 180°

m ∠3 = 180° - 48°

m ∠3 = 132°

Hence, the measure of angle 3 is 132°

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Answer:The value of p is -9.

Step-by-step explanation:

m=(y2-y1)/(x2-x1)m=(p-3)/(9-6)m=(p-3)/3-4=(p-3)/3-4*3=p-3-12=p-3p=-12+3p=-9

No, a linear model is not appropriate for the data because; the residual plot indicates that the residuals are far off the horizontal.

It follows from the task content that it is required to determine if a linear model is appropriate for the given data.

By observation of the scatter plot and the line of best fit; it is evident that the residuals are large (meaning that actually values are far off the predicted values).

Conclusively, the residual plot is a confirmation of the inappropriateness of a linear model for the given data. This follows from the fact that the residuals are large as evident in the how far the residual plot points are to the horizontal.

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The coordinates of point D on the given line that intercepts the y-axis are: (0, 15/2).

The coordinates of the point where a line intercepts the y-axis are the coordinates of the y-intercept of the line.

In the image given, a line to intercept the y-axis at point D. Point D is the y-intercept of the line. The coordinates of point D are the coordinates of the y-intercept of the line.

Step 1: Find the slope of the line using the two points, (-6, 0) and (2, 10)

Slope (m) = change in y / change in x = (10 - 0) / (2 -(-6))

Slope (m) = 10/8

m = 5/4

Step 2: Find the y-intercept of the line by substituting (x, y) = (2, 10) and m = 5/4 into y = mx + b

10 = 5/4(2) + b

10 = 5/2 + b

10 - 5/2 = b

15/2 = b

b = 15/2

The coordinates of the y-intercept is (0, 15/2). Therefore, the coordinates of point D are (0, 15/2).

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The number of calories in one cup is 132 calories and the number of calories in 4 cups is 528 calories.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a box of cereal states that there are 99 calories in a ​3/4 cup serving.

The number of calories per cup is calculated as,

3 / 4 cup = 99 calories'

1 cup = 99 x (4 / 3 )

1 cup = 132 calories

The number of calories for 4 cups of cereal,

1 cup = 132 calories

4 cup = 132 x 4 calories

4 cup = 528 calories

Therefore, the number of calories in one cup is 132 calories and the number of calories in 4 cups is 528 calories.

Therefore, the number of calories in one cup is 132 calories and the number of calories in 4 cups is 528 calories.

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The expression 30 _ 50 can be written as 2 factors as: 5(6 + 10).

A factor, in mathematics, can be described as an integer that is a divisor of another integer that will produce a value it can be multiplied with to can that same integer it divides.

For example, if m/n = a, and (m)(a) = n, then m and n are factors.

Given the expression, 30 + 50, we can write this expression as product of factors as shown below:

5 into 30 is 6

5 into 50 is 10.

Therefore:

5(6 + 10)

Therefore, the two factors of the expression, 30 + 50 are written as: 5(6 + 10).

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Answer:

a. 1/2 or 50% b. 1/2 or 50%

Step-by-step explanation:

a. 1/2 of 50%

Since theres 2 sides, and 1 head, it will be 1/2 outcomes so 1/2.

b. Stil 1/2 or 50%

The coin flips are not dependent, and they have 2 outcomes and 1 tails.

Stil 1/2

the amount invested at 4% interest rate = P = $1228.57

The amount invested at 5% interest rate = 2P = $2457.14

What is principle interest ?

Every mortgage payment is made up of principal and interest, which are its two main components. The principal, which you borrow for your mortgage, and the interest, which you pay each month to use the loan, are the same thing. You may select the finest mortgage choice for you by being aware of both principle and interest.

We will use the simple interest formula: A=P(1+rt)

where: A=total amount accrued, P=principal, r=rate of investment, t=time (years, here). r and t are given, and we know that the total amount accrued from both accounts minus the invested amounts (principals) will be $175.

A1=P(1+0.04*1) simplified: A1=P(1.04)

A2=2P(1+0.05*1) simplified: A2=2P(1.05)

because the amount invested in the account with interest rate of 5% is twice as much as the amount invested at 4% interest rate.

A1+A2-P-2P=175 because the total income is $175.

Substituting in equations 1 and 2 we get:

P(1.04)+2P(1.05)-P-2P=175

1.04P+2.1P-3P=175

3.14P-3P=172

0.14P=172

P=1228.57

So, the amount invested at 4% interest rate = P = $1228.57

The amount invested at 5% interest rate = 2P = $2457.14

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A) The number of pounds that the beverage cans are recycled in an hour is 119772 pounds

B) The number of tons that the beverage cans are recycled in an average day is 2397 ton

C) The number of Kilograms that the beverage cans are recycled in a day is 57528000 kg

The pound is the main unit of sterling, and the term "pound" is frequently used to refer to British currency in general, which is often qualified in foreign contexts as the British pound or the pound sterling.

In 2002 about 34 beverages can weigh one pound.

In one minute 113204 beverage cans are recycled.

In one hour, 60 minutes number of beverage cans recycled=113204×60

=6792240

34 beverage cans weight 1 pound

1 beverage cans weight=1/34 pounds

A) 6792240 beverage can weigh=1

=(1/34)(6792240) pound

=119771.765 pound

≈119772 pound

B) So, In 24 hours, no. of pounds recycled

=119772×24 pound

=119772×24×0.0005 ton

=2397.26 ton

≅2397 ton in one day.

C) So, In 24 hours, no. of tons recycled

=2397×24 ton

=2397×24×1000 kg

=57528000 kg

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An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The expressions that are simplified are:

[tex]n^{4}[/tex]

[tex]\frac{1}{n^{-5}}[/tex]

[tex]\frac{1}{n^3}[/tex]

Options A, B, and E are the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

[tex]n^{4}[/tex]

This is already simplified.

[tex]\frac{1}{n^{-5}}[/tex]

This is already simplified.

[tex]n^6 . n^{-8}[/tex]

= [tex]n^{6 - 8}[/tex]

= [tex]n^{-2}[/tex]

[tex]n^7 . p^8[/tex]

= [tex]n^{7 + 8}[/tex]

= [tex]n^{15}[/tex]

[tex]\frac{1}{n^3}[/tex]

This is already in simplified form.

Thus,

The expressions that are simplified are:

[tex]n^{4}[/tex]

[tex]\frac{1}{n^{-5}}[/tex]

[tex]\frac{1}{n^3}[/tex]

Options A, B, and E are the correct answer.

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The correct 7 digit combination safe-breaker code which is a palindrome is given by 6437346.

A palindrome is a number that reads the same both forward and backward in mathematics. Examples of palindromes include 353, 787, and 2332.

The following straightforward procedure may be used to find other palindromes given any set of integers.

Start with any number in step one. Identify it as original number. Reverse the original number's digits.

Call the number whose numbers have been reversed in step two. The new number should be added to your original one.

Call the number discovered by combination of the new number with the test number.

Step 3: You're finished if the test number is a palindrome. If the test number is incorrect, use your original number instead and complete the previous procedures using your test number.

How to solve?

Let the seven-digit code be given by abcdefg. As it is palindrome therefore, a=g, b=f, c=e, and d=d. Also, first digit is double than third digit that is a=2c.

As per the question d=7, c=f-1 and,

b=7-3 = 4.

Since the number is palindrome so b=f. Therefore f=4.

Now, c=f-1 => c = 4-1 = 3, and c = e = 3.

Also, a=2c => a=6.

Thus, the numbers are a=6, b=4, c=3, d=7, e=3, f=4, g=6 and the combination is 6437346.

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Answer:

8.m = ∞

9.[tex]m=\frac{20c-39}{54}[/tex]

Step-by-step explanation:

8.The equation is a vertical line, so the slope is ∞

so the answer for 8. is m = ∞

9.Switch sides:

2.7m + 1.95 = c

Multiply both sides by 100:

2.7m · 100 + 1.95 · 100 = c · 100

Refine:

270m + 195 = c · 100

Move 195 to the right side so it would be: 270m = c · 100 - 195

And now Divide both sides by 270

[tex]\frac{270m}{270}[/tex] = [tex]\frac{c*100}{270}[/tex] - [tex]\frac{195}{270}[/tex]

And now all that's left is to Simplify it

so the answer for answer 9. is [tex]m=\frac{20c-39}{54}[/tex]

The correlation coefficient r between an employee's age, x, and annual income, y, given as 0. 923, will vary by 85.2% of its value.

The Pearson correlation coefficient, sometimes referred to as Pearson's r, Pearson's product-moment correlation coefficient, bivariate correlation, or simply the correlation coefficient, is a statistical indicator of the linear relationship between two sets of data. A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. When two variables are positively linked, the value either rises or falls together. With a correlation value of 1, there is a fixed proportional rise in one variable for every positive increase in the other. For instance, shoe sizing increases almost perfectly with foot length.

Here,

The correlation coefficient= 0.923

The percent of variation,

=correlation coefficient²*100

=0.923²*100

=85.192%

=85.2%

When the correlation coefficient r between an employee's age, x, and yearly income, y, is provided as 0. 923, the percent of variance will be 85.2%.

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Answer:

z = 36

x = 120

Step-by-step explanation:

Standard form of ellipse has equation [tex]\frac{y^2}{a^2} +\frac{x^2}{b^2} =1[/tex] where, a and b are the halves of the length of major and minor axis respectively.

Given that,

Length of major axis(2a)=6.

So

a=6/2

 =3

Length of minor axis(2b)=4.

So

b=4/2

 =2

Putting in equation of standard ellipse. We get

[tex]\frac{y^2}{3^2} +\frac{x^2}{2^2} =1[/tex]

After simplifying

4y² + 9x² = 36

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Answer: omm

but I need this so

Step-by-step explanation:

Answer:

Choice B

Step-by-step explanation:

The graph crosses the xy-plane at the following places for x:

x = -5

x = -2

x = 3

x = 7

Look at choice B.

Setting (x - 3)^2, (x + 5)^2, (x - 7) and (x + 2) to zero and solving for x leads to the crossing locations on the xy-plane as shown on the graph.