The surface area of the side of the cylinder is given by the function f(r)= 6 3. 14(r),where r is the radius. If g (r)= 3. 14r^2 gives the area of the circular top, write of function for the surface area of the cylinder in terms of f andg

Answer: 12.152

Step-by-step explanation:

Answer:

12.15  or   875/72

Step-by-step explanation:

35/6 = 5.8333333

25/12 = 2.083333

or

35/6 turns to 70/12

70/12 x 25/12 = 1750/12  

1750/144 turns to 875/72

Answer:

a) The percent of their games the hockey team won is 60%

b) The percent of their games the hockey team lost is 37% to the nearest percent

c) The percent of their games the hockey team tied is 3% to the nearest percent

Step-by-step explanation:

In any game, there are 3 situations

The sum of the three situations is the total number of playing that game

∵ The hockey team won 72 out of 120 games and tied 4

∴ The number of winning games = 72

∴ The number of tying games = 4

∴ The number of total games = 120

→ Find the number of losing games

∵ Win + ty + lose = total games

∴ 72 + 4 + lose = 120

∴ 76 + lose = 120

→ Subtract 76 from both sides

∴ lose = 44

∴ The number of losing games = 44

Now let answer the questions

a)

∵ P%(win) = (winning ÷ total) × 100%

∴ P%(win) = (72 ÷ 120) × 100%

∴ P%(win) = 60%

The percent of their games the hockey team won is 60%

b)

∵ P%(lose) = (losing ÷ total) × 100%

∴ P%(lose) = (44 ÷ 120) × 100%

∴ P%(lose) = 36.66667%  = 37% to the nearest percent

The percent of their games the hockey team lost is 37% to the nearest percent

c)

∵ P%(tie) = (tying ÷ total) × 100%

∴ P%(tie) = (4 ÷ 120) × 100%

∴ P%(tie) = 3.333333%  = 3% to the nearest percent

The percent of their games the hockey team tied is 3% to the nearest percent

The expression to represent the area of the tablecloth is; w^2 + 2.8w

A rectangle is a quadrilateral which has its opposite side to have equal length. Its area can be determined by;

area of a rectangle = length x width

Let the length of the rectangular tablecloth be represented by z and its width by w. Since its length is 2.8 feet longer than the width, we have;

z = w + 2.8

But,

area of a rectangle = length x width

                                = z x w

                                = (w + 2.8) x w

                                = w^2 + 2.8w

Thus, the expression to represent the area of the tablecloth is: w^2 + 2.8w

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The equation Chad should program is \(y = -0.04x^2 + 20x.\)

The equation that Chad should program into his rocket launcher to win is:

\(y = -0.04x^2 + 8x\)

This is a quadratic equation in standard form, where the coefficient of x^2 is negative, indicating that the path of the rocket is a downward facing parabola. The coefficient of x^2 is -0.04, which means that the parabola is relatively flat, ensuring that the rocket will travel a horizontal distance of 20 feet when it reaches a height of 100 feet.

To sketch the rocket’s path, we can plot points on the graph of the equation. For example, when x = 0, y = 0, so the rocket starts at the origin. When x = 50, y = 200, so the rocket reaches its maximum height at x = 50 and y = 100. When x = 100, y = 0, so the rocket lands 20 feet away from the launch pad at ground level. We can connect these points to sketch the path of the rocket.

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Answer:

y-axis is located 4 units from point M

Explanation:

Given that the point M is located at;

we want to find what is located 4 units from M.

Points A,B and C are all more than 4 units point M.

Point M is 6 units from the x-axis.

Point M is 4 units from the y-axis.

Therefore, y-axis is located 4 units from point M

Answer: 4x+9-3/5=10xy^3-49

Step-by-step explanation: x+9-3/5-(10*x*y^3-49)=0

STEP

1

:

Equation at the end of step 1

3

((4x + 9) - —) - ((2•5xy3) - 49) = 0

5

STEP

2

:

3

Simplify —

5

Equation at the end of step

2

:

3

((4x + 9) - —) - (10xy3 - 49) = 0

5

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 5 as the denominator :

4x + 9 (4x + 9) • 5

4x + 9 = —————— = ————————————

1 5

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(4x+9) • 5 - (3) 20x + 42

———————————————— = ————————

5 5

Answer:

quadrant 4

Step-by-step explanation:

(2,-5) would be in the 4th quadrant

The value of determinant of the matrix det (AB) is 15.

Given matrices A and B are 3 by 3 matrices with

det (A) = 3 and

det (b) = 5.

We need to find the value of det (AB).

Writing the given matrices into the augmented matrix form gives [A | I] and [B | I] respectively.

By multiplying A and B, we get AB. Similarly, by multiplying I and I, we get I. We can then write AB into an augmented matrix form as [AB | I].

Therefore, we can solve the augmented matrix [AB | I] by row reducing [A | I] and [B | I] simultaneously using elementary row operations as shown below.


The determinant of AB can be calculated as det(AB) = det(A) × det(B)

= 3 × 5

= 15.

Conclusion: The value of det (AB) is 15.

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We need to find the value of determinant det(AB), using the formula: det(AB) = det(A)det(B)

=> det(AB) = 3 × 5

=> det(AB) = 15.

Hence, the value of det(AB) is 15.

The given matrices are A and B. Here, we need to determine the value of det(AB). To calculate the determinant of the product of two matrices, we can follow this rule:

det(AB) = det(A)det(B).

Given that: det(A) = 3

det(B) = 5

Now, let C = AB be the matrix product. Then,

det(C) = det(AB).

To evaluate det(C), we have to compute C first. We can use the following method to solve the augmented matrix by elementary row operations.

Given matrices A and B are: Matrix A and B:

[A|B] = [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0][A|B]

= [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0].

We can see that the coefficient matrix is an identity matrix. So, we can directly evaluate the determinant of A to be 3.

det(A) = 3.

Therefore, det(AB) = det(A)det(B)

= 3 × 5

= 15.

Conclusion: Therefore, the value of det(AB) is 15.

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When two parallel lines are cut by a transverse. the angles formed on the exterior of the parallel lines, on the opposite sides of the transverse are known as the Alternate Exterior Angle.

When two parallel lines are cut by a transverse. the angles formed on the exterior of the parallel lines, on the opposite sides of the transverse are known as the Alternate Exterior Angle.

Firstly, ∠1 and ∠7 are alternate exterior angles as shown in the image, now to prove if these two angles will be congruent we can use the below proof.

First Method:

∠1  + ∠2 = 180° {Supplementary angles because both lies on the line q}

∠2 = (180° - ∠1)

Similarly, ∠2 = ∠6 = (180° - ∠1), corresponding angles are equal,

∠6 + ∠7 = 180° {Supplementary angles because both lies on the line r}

∠7 = 180° - ∠6

∠7 = 180° - (180° - ∠1)

∠7 = 180° - 180° + ∠1

∠7 = ∠1

OR

Second Method:

∠1 = ∠3 {Vertical angles formed by intersecting lines q and r}

∠3 = ∠5 {Alternate Interior angles}

∠5 = ∠7 {Vertical angles formed by intersecting lines s and r}

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The median in this situation is the average of the two middle values, which are 48 and 76: (48 + 76) / 2 = 62

When a dataset is sorted in order of magnitude, the median, a statistical measure of central tendency, reflects the middle value of the dataset. The values must first be arranged from lowest to highest in order to determine the median (or largest to smallest). The median is the middle value when the dataset has an odd number of values. The median is indeed the average of the two middle values when the dataset does have an even number of values.

given

We must first determine the values of the first and third quartiles in order to determine the interquartile range (IQR) of a data set.

The median of the lower half of the data set makes up the first quartile (Q1), and the median of the higher half, the third quartile (Q3).

For this data set's Q1 and Q3, you can:

Sort the information from smallest to largest:

23 33 45 48 76 78 94 94

Determine the data set's overall median.

The median in this situation is the average of the two middle values, which are 48 and 76: (48 + 76) / 2 = 62 .

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Answer:

-1/8, 69%, 5 and 50

Step-by-step explanation:

→ Convert -1/8 to a number format

-1/8 = -0.125

→ Convert 69% to a number format

0.69

→ Now place in order

-0.125, 0.69, 5, 50

Answer:

20 and 77

Step-by-step explanation:

4x-3+x=97

5x-3=97

5x=97+3

5x=100

x=20

Have a NICE day

The larger number is 77 and the smaller number is 20.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, The sum of two numbers is 97.

Assuming the numbers to be a and b.

∴ a + b = 97...(i)

Also given, The larger number is three less than four times the smaller number,

Assuming the larger number to be a, therefore a = 4b - 3...(ii)

Substituting the value of a in eqn(i) we get,

4b - 3 + b = 97.

5b = 100.

b = 20, hence a = 77.

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\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Exponents ans Indices.

Since we know that, something inverse is a reciprocal.

that, (a) ^-1 = 1/a and (a^m)^n = a^m*n

so applying this we get as,

Option B.

==> 4^15 . 5^10

Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents

Answer:

6h = 36

Step-by-step explanation:

h is for the number of hours she worked each day. She worked in 6 days for 36 hours so 6h = 36.

Answer:

sin is bad we all need to find Jesus AMEN HALLELUJAH read the bible guys and girls

Step-by-step explanation:

Q.2: A review of the t-test on the significance of individual independent variable suggests that, based on the p-values. None of the independent variables could be retained. This is because if the p-value is high, it means the significance is low.

Q3: Choose the right option below. Based on the full regression model involving all of the independent variables. VIF for Size = 5.3352, VIF for Fireplace = 10.1873, VIF for bedrooms = 2.7885.

Q.4: Based on VIF values, there is concern for collinearity in this dataset. True

Q5: Based on the normal probability plot, the normality assumption seems to be met. True

Q7: Based on conducting residual analysis the model seems. Adequate.

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Answer: 52

Step-by-step explanation:

42-(-10) first since your multiplying the two negative signs with each other it turns into a positive and looks like 42+10 and 42+10=52

Answer: (0,8)

Step-by-step explanation:

Convert to slope intercept form

-y+8=2x

-y=2x-8

y=-2x+8

Therefore 8 would be the y intercept

Answer:

0 i guess

Step-by-step explanation:

40. A vector w that is perpendicular to the plane containing the given points A,B, and C is  (9,-4,-6)

41. A vector w that is perpendicular to the plane containing the given points A,B, and C is  (1,1,3)

40. To find a vector that is perpendicular to the plane containing A, B, and C, we can find the cross product of two vectors that lie in the plane. For example, we can use the vectors AB and AC:

AB = (2-(-1), 1-1, -1-2) = (3,0,-3)

AC = (0-(-1), -2-1, 4-2) = (1,-3,2)

Taking the cross product of these vectors, we get:

AB x AC = (0-(-9), -2-(-2), -3-(-3)) = (9,-4,-6)

So the vector w = (9,-4,-6) is perpendicular to the plane containing A, B, and C.

41. Again, to find a vector that is perpendicular to the plane containing A, B, and C, we can find the cross product of two vectors that lie in the plane. For example, we can use the vectors AB and AC:

AB = (0-1, 1-0, 0-0) = (-1,1,0)

AC = (2-1, 3-0, 1-0) = (1,3,1)

Taking the cross product of these vectors, we get:

AB x AC = (1,1,3)

So the vector w = (1,1,3) is perpendicular to the plane containing A, B, and C.

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The final integral is \(=5\left[x\arctan \left(\frac{1}{x}\right)-\left(-\frac{1}{2}\ln \left|1+x^2\right|\right)\right]_1^{\sqrt{3}}\)

Numerical integrals are used to express concepts like volume, area, and displacement when infinitely small amounts of data are combined. Integral location is the integration process.

The signed area of the region in the plane that is circumscribed by the graph of a specific function between two points on the real line can be used to describe definitive integrals. Areas above the plane's horizontal axis are often positive, whereas those below it are typically negative.

\(\\\\\int _1^{\sqrt{3}}5\arctan \left(\frac{1}{x}\right)dx=\frac{5\left(2\sqrt{3}\ln \left(2\right)+2\pi -\sqrt{3}\pi \right)}{4\sqrt{3}}\quad \left(\mathrm{Decimal:\quad }\:2.34037\dots \right)\\\\=5\cdot \int _1^{\sqrt{3}}\arctan \left(\frac{1}{x}\right)dx\\\\=5\left[x\arctan \left(\frac{1}{x}\right)-\left(-\frac{1}{2}\ln \left|1+x^2\right|\right)\right]_1^{\sqrt{3}}x_{123} \\\\=5\left[x\arctan \left(\frac{1}{x}\right)-\left(-\frac{1}{2}\ln \left|1+x^2\right|\right)\right]_1^{\sqrt{3}}\)

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Correct Question:

\(\int _{\:1}^{\sqrt{3}}5\cdot \arctan \left(\frac{1}{x}\right)dx\)

Answer:

0.10

Step-by-step explanation:

some idiot deleted my answer lol

to do this you divide the total whole by the pieces you want . So 1/10=0.10

and thats your answer and how to get it :)

0.10 of the pizza is each slice in decimal form.

Division is the process of splitting a number or an amount into equal parts.

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

Polly decides to slice each pizza into 10 equal slices.

now,

to do this you divide the total whole by the pieces you want .

So 1/10

     =0.10

Hence, 0.10 of the pizza is each slice in decimal form.

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The yield of the 20-year 7% annual interest bond selling for $1,084 is approximately 3.12%(d).

To calculate the yield of a bond, we can use the formula:

Yield = (Annual Interest / Bond Price) × 100

We are given the information with Annual Interest = 7% of the face value = 0.07 × $1,000 = $70

Bond Price = $1,084

Yield = (70 / 1084) × 100 ≈ 3.12%

Therefore, the yield of the bond is approximately 3.12%. So the correct option is d which means that the yield of the bond is approximately 3.12%.

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Ms. Huffaker's skillful transition from the warm-up to new instruction through drawing on prior learning enhances the coherence, engagement, and understanding of the lesson.

Ms. Huffaker effectively transitioned from the warm-up to new instruction by making connections between the two.

She utilized the example or concept discussed during the warm-up and incorporated it into the new material by asking questions that required students to draw on their prior learning. This allowed for a smooth and seamless transition between the two components of the lesson.

By connecting the warm-up to the new material, Ms. Huffaker helped students see the relevance and application of what they had previously learned.

This approach reinforces prior knowledge, activates schema, and helps students make connections between different concepts. It also engages students in active participation and encourages them to think critically and make connections on their own.

This type of instructional approach has several positive impacts on teaching and learning. Firstly, it promotes continuity and coherence in the lesson, making the learning experience more cohesive for students. It also helps to reinforce and consolidate learning by building on prior knowledge.

By relating new material to familiar concepts, it increases students' understanding and retention of the content.

Additionally, this approach fosters student engagement and participation by actively involving them in the learning process. It encourages critical thinking, problem-solving, and deeper understanding of the subject matter.

Students are more likely to be motivated and interested in the lesson when they can see the relevance and application of what they are learning.

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Answer:

i think h=17

Step-by-step explanation:

-18h = 17 = xh/6

Subtract xh/6 from both sides of the equation.

-18 - xh/6 = 17

Answer:

Step-by-step explanation:8

Answer: 37

Step-by-step explanation:

divide the total that she spent over how much each game is (166.50/4.50). this will give you the number of games that she played.

we can insert > to make the following sentence true that is \(\sqrt{17}\) > 4

we have to solve the following sentence

\(\sqrt{17}\) --- 4     ( insert <,>, = to make the following sentence true)

what is square root ?

The square root of a number is the factor that we can multiply by itself to get that number. The symbol for square root is  \(\sqrt{}\) .

we know that

square root of 17 is 4.12310563

which is 4+ 0.12310563

that is if we add 4+0.12310563 we get 4.12310563

therefore square root of 17 is greater than 4

that is \(\sqrt{17}\) > 4  

since 4.12310563 > 4

hence,   we can insert > to make the following sentence true that is \(\sqrt{17}\) > 4

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9514 1404 393

Answer:

  $1320

Step-by-step explanation:

The amount of commission is the product of the commission rate on sales and the amount of sales:

  Job A commission = 0.12 × $11,000 = $1320

_____

It may help you to realize that the percent symbol (%) is fully equivalent to /100. That is 12% = 12/100 = 0.12.