∫1/(1+sinx^2 +2cos^2x)

Answer:

51

Step-by-step explanation:

Well we first need to find the volume of the soup in the pot using the following formula,

πr^2h

15*15 = 225

225 * 25 = 5625

5625 * pi = 17671.46

Now we need to find the volume of the ice cube using the formula,

l*w*h

7*7*7 = 343

Now we do 17671.46 ÷ 343 = 51.5202915452

You can have half an ice cube,

thus, Sharon can make 51 whole cubes.

Hope this helps :)

Answer:

130 cubes  ( if the cylindrical height is 25 in )

51 cubes ( if the cylindrical height is 25 cm)

Step-by-step explanation:

cube edges = 7 cm long

volume of the soup = pi * r² * h

where h = 25in convert it to cm = 25 in * 2.54 cm/1 in = 63.5 cm

cylindrical pot diameter d = 30 cm

Volume of cylindrical pot = 3.14 * 15² * 63.5 = 44,885.5 cm³

Volume of ice cube = 7 * 7 * 7 = 343 cm³

to get the number of cubes = 44,885.5 / 343 = 130 cubes

therefore, Sharon can make 130 whole cubes

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

if the cylindrical height is 25cm then

Volume of cylindrical pot = 3.14 * 15² * 25 = 17,671.5 cm³

Volume of ice cube = 7 * 7 * 7 = 343 cm³

to get the number of cubes = 17,671.5 / 343 = 51 cubes

Answer:

Step-by-step explanation:

The figure above is a quadrilateral

Angles in a quadrilateral add up to 360°

To find x add up all the angles and equate them to 360°

That's

6x + 4x + 3x + x + 10 = 360

14x = 350

Divide both sides by 14

x = 25°

Hope this helps you

Answer:

3 years

Step-by-step explanation:

I assume it's simple interest.

I = Prt

132 = 800 * 0.055 * t

t = 132/(800 * 0.055)

t = 132/44

t = 3

Answer: 3 years

Answer:

Length 37 cm, width 25 cm.

Step-by-step explanation:

Let the original dimensions be length x and width x - 12 cms.

The new dimensions will be length (x - 2) and width (x - 12 - 2) = x-14 cm.

So , from the areas, we have:

x(x - 12) - (x - 2)(x - 14) = 120

x^2 - 12x  - (x^2 - 16x + 28) = 120

-12x + 16x - 28 = 120

4x = 148

x = 37 cms

So the length was 37 cm and the width was 37-12 = 25 cm.

146

Step-by-step explanation:

Given:

[tex]x - \dfrac{1}{x} = 12[/tex]

To Find:

[tex] \sf \: The \: value \: of \: {x}^{2} + \dfrac{1}{ {x}^{2} } [/tex]

How to find:

Just square both side, Solve as a equation and get the answer. Simple, Isn't it?

Solution:

See in attachment.

Answer:

146

Step-by-step explanation:

The answer of this question id 146 .

you can do this type of numericals by above process.

Answer:

  C.  100

Step-by-step explanation:

You can rearrange the equation to say ...

  (Height)(Width) = Constant

Multiply any of the coordinate values shown, and you will see the constant is 100.

  4×25 = 5×20 = 10×10 = 20×5 = 100

The constant is 100.

Answer:

The LCM of 12 and 10 is 60 so you would need to buy 60 / 12 = 5 packs of eggs and 60 / 10 = 6 packs of muffins.

Answer:

Angle:

When two lines/rays intersect at a point, they form an angle.

=> Angles may be in radians and degrees.

See the attached file in which two rays intersect to form an angle.

Answer:

[tex]\boxed{\mathrm{view \: explanation \: and \: attachment}}[/tex]

Step-by-step explanation:

Two lines (arms/rays) intersect at one point (vertex) creating an angle.

Answer:

B. [tex]1\frac{1}{7}[/tex]

Step-by-step explanation:

[tex]-9\frac{2}{7}[/tex]=[tex]-\frac{65}{7}[/tex]

[tex]-10\frac{3}{7}[/tex]=[tex]-\frac{73}{7}[/tex]

[tex]-\frac{65}{7}[/tex]-([tex]-\frac{73}{7}[/tex])=8/7

8/7=[tex]1\frac{1}{7}[/tex]

Hope this helped!!!

Answer:  $1,077.50   or   $1,078.06 (see below)

Step-by-step explanation:

Since the interest is applied after 1 year and the debt was repaid in 8 months, no interest was accrued on the $2,550 loan.

Thus, the price of the tv is: $2,550 - $1,422.50 = $1,077.50

Note: If interest is charged for the 8 months (3/4 of a year), then the interest added to the loan amount is: 0.75(3/4) = $0.56

⇒ the the price of the tv is: $1,077.50 + $0.56 = $1,078.06

Let A, B, and C denote the sets of students that have taken calculus, sociology, and Spanish, respectively.

We're given that [tex]A\cup B\cup C[/tex] consists of 187 students.

We want to find the size of [tex]A\cap B\cap C[/tex], given that

• A has 61 students;

• B has 78;

• C has 72;

• [tex]A\cap B[/tex] has 15;

• [tex]A\cap C[/tex] has 20; and

• [tex]B\cap C[/tex] has 13.

Using the inclusion/exclusion principle, we have

[tex]|A\cup B\cup C|=|A|+|B|+|C|-(|A\cap B|+|A\cap C|+|B\cap C|)+|A\cap B\cap C|[/tex]

where |X| denotes the size of the set X. Plug in all the known sizes:

[tex]187=61+78+72-(15+20+13)+|A\cap B\cap C|[/tex]

[tex]\implies|A\cap B\cap C|=24[/tex]

so 24 students have taken all three classes.

Answer:

120 degrees

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Add all the number then subtract it with 360.

Answer:

1/x^12

Step-by-step explanation:

X^-12....simply move x^-12 to the other side of the division and change the sign of the exponent.

The simplified form of the expression x Superscript negative 12 is 1/ x¹².

The rule of the exponent is defined as the simplified form of the exponents

where a is the base and b and n are the exponent.

Here given in the question is the expression that x superscript negative 12.

As we now superscript is to write the number in exponent position.

here -12 is written in the superscript of x.

then the mathematical expression will be converted as

x superscript negative 12 = x⁻¹²

As we know from the rule of exponent that a⁻ⁿ = 1/aⁿ where a is the base and n is the exponent.

x⁻¹² can be rewritten as x⁻¹² = 1/ x¹²

Therefore the simplified form of the expression x Superscript negative 12 is 1/ x¹².

Learn more about the rule of exponent

here: https://brainly.com/question/11975096

#SPJ2

Answer:

Slope = 3

Step-by-step explanation:

Slope is rise (vertical distance) over run (horizontal distance).

Our rise is equal to 3

Our run is equal to 1

So, slope = 3/1 = 3

Answer: D

Step-by-step explanation:

In synthetic division, if the divisor is an expression like x+3, you should always switch it to if x+3 were equal to 0.

[tex]x+3=0\\x=-3[/tex]

So, you should use -3. The only options with -3 are B and D.

The coefficients for the dividend are 7, -2, and 4, so D is the correct answer.

Hope this helps! If you still have questions, please ask.

Answer:

(-4,-7)

Step-by-step explanation:

Use the online graphing calculator called Desmos. That's what I did. Just input the two equations and it'll show you the completed graph. I hope this help you:)

Answer: C

1/4

Step-by-step explanation:

Given a graph for the transformation of f(x) in the format g(x) = f(kx),

This means that for every value of x, f(x) will take the value it would have had at kx, that is, the graph of f(x) is stretched by a factor of 1/k in the direction of positive x-direction.

Therefore, the value of k will be 1/4.

Answer:

k=4

Step-by-step explanation:

Answer:

The base of the regular pyramid is a square.

Step-by-step explanation:

Answer:

The standard form of the equation is y = -x/2 -2

Step-by-step explanation:

The standard form of equation of this line is expressing the line in the form;

y = mx + c

So let’s make a rearrangement to what we have at hand;

y + 7 = -1/2(x-10)

2(y + 7) = -1(x-10)

2y + 14 = -x + 10

2y = -x + 10 -14

2y = -x -4

divide through by 2

y = -x/2 -2

Answer:

1) A'(8, -10)

B'(10, -8)

C'(2, -4)

2) A''(8, -4)

B''(10, -6)

C''(10, -10)

Step-by-step explanation:

1) For reflection across the line y = -1, given that the lowest point is of ABC which is point C with coordinates (2, 2), we have;

The vertical distance from the point C to the line y = -1 is 3 units down, therefore, the coordinate of the reflection of C will be 3 units below the line y = -1 at C'(2, -4)

The coordinates of the point A(8, 8) will be A'(8, -10)

The coordinate of the point B(10, 6) will be B'(10, -8)

2) Given that we have A'(8, -10), B'(10, -8), and C'(2, -4), we have reflection over y = -7, we have;

The coordinates of the point A'(8, -10) will be A''(8, -4)

The coordinate of the point B'(10, -8) will be B''(10, -6)

The coordinate of the point C'(2, -4)will be C''(10, -10)

Which gives, a total translation of -12 units down as follows;

A''(8, -4) - A(8, 8) = (0, -12)

B(10, 6) - B''(10, -6) = (0, -12)

C(2, 2) - C''(10, -10) = (0, -12).

Answer:

The information given are;

[tex]r(V)=\sqrt[3]{\dfrac{V}{6\cdot \pi ^{2}}}[/tex]

Where;

r(V) = The radius of the doughnut (cm)

V = The volume of the doughnut (cm³)

The data are;

V,          r(V)

-30,     -0.8

-20,     -0.7

-10,      -0.55

0,          0

10,         0.55

20,        0.7

30,        0.8

From the table of values, the identified key features are;

a) There is a direct relationship between the radius and the volume of the doughnut

b) The correlation between the data increases to direct proportionality from the volume of 20 cm³ and above

c) The data values are symmetric and continuous about the y and x-axis

2) There is a direct linear relationship between radius, r and the volume V at end ends of the data between r and  V where V = -30 and-20 at one end and 20 and 30 at the other end

b) The x and y-intercept are

The x -intercept = (0, 0)

The x -intercept = (0, 0)

c) The pivot point is the point about which change occurs, therefore, the pivot point is the (10, 0.55)

d) The domain is a member of the set of real numbers, R while the range is also a member of the set of real numbers, R

Step-by-step explanation:

Answer:

Increases

Step-by-step explanation:

It increases because, the greater the value of x the smaller the fraction is. If x was 25 the fraction would be 5/25 this makes the value of the equation 5.2. Now if x was a smaller positive number like 5. Then the fraction would be 5/5 which would cause the equation to be equal to 6.

Answer:

B.

Step-by-step explanation:

First, it must be in descending order (i.e. largest to smallest). Thus, we can eliminate C and D since they go from smallest to largest.

Next, we need to find the degree of A and B. The degree of a polynomial is simply the highest exponent value of all the variables in a single term. If this is confusing, let's use A as an example.

In A, we have four terms: x^3y^3, xy^2, 5xy, and -4. This is a sixth degree polynomial. This is because for the first and largest term, x^3 and y^3, the total value of their exponents is 6. Because of this, A is not our answer.

For B, the biggest term is xy^2, and the degree is 1+2=3. Therefore, our answer is B since it is a third degree polynomial and it's in descending order.

Note that C is also a third-degree polynomial, but it's not written in descending order.

Answer:

Mode: 100

Mean: 46.94444...

Median: 29.5

Range: 150

Step-by-step explanation:

Mode: most occurring number: 100

Mean: Plus everything and divide by how many number there is: 845/18=46.94....

Median: The middle number, but you need to line it from smallest to greatest.

0, 0, 0, 1, 3, 4, 5, 12, 29, 30, 40, 50, 100, 100, 100, 100, 121, 150

29 and 30 is in the middle. In this case, you plus 29+30 and divide by 2. =29.5

Range: Largest number-Smallest number. You also need to line it from smallest to largest: 150-0=150

Hope this helps, BRAINLIEST would really help me:)

Answer:

1. 2.997

2. 29.93

Step-by-step explanation:

1. You gotta multiply the three sides given, to do this, they all have to be the same unit. Either convert them all to inches or feet then do the operation.

2. Same thing, gotta multiply all given values

Answer:

(1, 18)

Step-by-step explanation:

Rewrite the equation in vertex form by completing the square for -3x^2 + 6x + 15. This = -3(x - 1)^2 + 18.

Set y equal to the new right side.

y = -3(x - 1)

Use the vertex form, y = a(x - h)^2 + k, to determine the values of a, h, and k.

a = -3

h = 1

k = 18

Vertex = (h, k) / (1, 18)

Answer:

c. jasper has apparently decreased the volume of items in his ending inventory as compared to the number of items in his beginning inventory

Step-by-step explanation:

First In First Out  FIFO is a type of inventory system in accounting, it literally implies that  the oldest purchase goes out first when you made a sale. The oldest purchase are charged based on cost of good sold. If price are rising, :

FIFO will yield a lower cost of good sold

FIFO will yield a higher net income

FIFO will yield higher tax liability

FIFO will yield a higher inventory

From the information given:

the business records show that the cost of the stores inventory items has been steadily increasing. the cost of the end of the year inventory is 200,000 and the cost of the beginning of the year inventory was 250,000.

What the statement implies is that:

jasper has apparently decreased the volume of items in his ending inventory as compared to the number of items in his beginning inventory

Answer:

128 Apples

Step-by-step explanation:

Answer:

128 apples

Elaborated:

Your first multiple 16 and 7 which is 112. Your than multiply 2 and 8 since the remaining boxes are half full which is 16. 112+16 is 128. Hope this helps!

Answer:

C

Step-by-step explanation: