You and two friends decide to go to Mexico City from El Paso. Your friend volunteers his car if everyone chips in for gas. It is 1835 km from El Paso to Mexico City. Gas costs 13.23 pesos per liter in Mexico. It is 16.75 pesos to $1 US. Your friend's car gets 28 miles to the gallon. (1 mile = 1.609 km and 1 gallon = 3.78 liters). How much in US $ would it cost each person in gas to make the round trip?

Answer:

13º

Step-by-step explanation:

Complementary angles are angles that add up to 90º. So, subtract 77 from 90, and you get 13.

a) When 44 is divided by 8, the quotient is the number of times 8 can be subtracted from 44 without going below zero.

44 divided by 8 gives a quotient of 5 with a remainder of 4. Therefore, the quotient is 5 and the remainder is 4.

b) When 777 is divided by 21, we find the quotient and remainder as follows:

777 divided by 21 gives a quotient of 37 with a remainder of 0. Therefore, the quotient is 37 and the remainder is 0.

c) When -123 is divided by 19, we find the quotient and remainder as follows:

-123 divided by 19 gives a quotient of -6 with a remainder of 9. Therefore, the quotient is -6 and the remainder is 9.

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Answer:

C

Step-by-step explanation:

It doubles after every number in the sequence

Answer:

A = 70 units²

Step-by-step explanation:

Since all 4 sides are congruent then figure is a rhombus

The area (A) of a rhombus is calculated as

A = \(\frac{1}{2}\) × d₁ × d₂ ( d₁ and d₂ are the diagonals )

Here d₁ = 7 + 7 = 14 and d₂ = 5 + 5 = 10 , then

A = \(\frac{1}{2}\) × 14 × 10 = 7 × 10 = 70 units²

The product of the volume and total surface area of the given right conical frustum is approximately 146520π². To find the product of the volume and total surface area of a right conical frustum, we first need to determine the individual values of volume and surface area.

The volume of a frustum can be calculated using the formula:

V = (1/3)πh(r₁² + r₂² + r₁r₂),

where h is the height of the frustum, r₁ and r₂ are the radii of the larger and smaller bases, respectively.

In this case, we are given that the radii of the larger and smaller bases are 12 and 9 units, respectively. We also know that the two bases are 4 units apart, which means the height of the frustum is 4 units.

Substituting the given values into the formula, we have:

V = (1/3)π(4)(12² + 9² + 12*9)

 = (1/3)π(4)(144 + 81 + 108)

 = (1/3)π(4)(333)

 = (4/3)π(333)

 ≈ 444π cubic units

Now, let's move on to calculating the total surface area of the frustum. The formula for the total surface area is:

A = π(r₁ + r₂)ℓ + πr₁² + πr₂²,

where ℓ is the slant height of the frustum.

Since the frustum is a right frustum, the slant height ℓ can be found using the Pythagorean theorem:

ℓ = √(h² + (r₁ - r₂)²)

Substituting the given values, we have:

ℓ = √(4² + (12 - 9)²)

 = √(16 + 9)

 = √25

 = 5

Now we can calculate the total surface area:

A = π(12 + 9)(5) + π(12²) + π(9²)

 = π(21)(5) + π(144) + π(81)

 = 105π + 144π + 81π

 = 330π square units

Finally, to find the product of the volume and total surface area, we multiply the two values:

VA = (444π)(330π)

  ≈ 146520π²

Therefore, the product of the volume and total surface area of the given right conical frustum is approximately 146520π².

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Answer:

3

Step-by-step explanation:

10 + 3x

x = visits

Answer:

your answer is : 56/9 or 6 2/9

hope it help

Answer: when it is simplified its 56/9. When you converted   it is 6 and 2/9  

Step-by-step explanation: hope this helps :)

Answer:

144 ft

Step-by-step explanation:

start with the sides and multiply by 3. that is 12. and to find the area of a square is to multiply 2 of it's sides meaning 12×12=144

Answer:

X = 25

Step-by-step explanation:

We can calculate the value of x using Euclidean theorem

15^2 = 9 × x

225 = 9x divide both sides by 9

25 = x

Out of 8 members of the committee, it is possible to create two subcommittees only.

We know that in order to create subcommittees. we need to divide the total number of people on the committee into equal parts so that they form subcommittees.

Here, it is given that there are 8 members on the committee.

A subcommittee needs to have 3 people in it.

On dividing 8 people into groups of three, we get

⇒ \(\frac{8}{3}\)

⇒ 2.66..

Here, it is obvious that the 0.66... can not be considered because it is not a whole number and hence, does not mean any number of people.

So, we can create only two different subcommittees from 8 members on the main committee.

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Answer:

We have the equation A*C = A

Now, as both sides of the equality are the same thing, we can do the same operation to both sides and the equality will remain true.

We can divide both sides by A and get:

(A*C)/A = A/A

C = 1

So here we finded the value of A.

If A and C are matrices, then C is the identity matrix.

Answer:

235.5

Step-by-step explanation:

3.14x2.5^2x12

3.14x6.25x12

19.625x12

235.5

Answer :

⠀

Explanation :

We know,

\({ \longrightarrow \qquad{\boldsymbol {\pmb{ Volume_{(cylinder)} = \pi {r}^{2} h \: }}}}\)

Where,

⠀

Substituting the values in the formula :

\({ \longrightarrow \qquad{ { \sf{ Volume_{(cylinder)} = 3.14 \times ({2.5})^{2} \times 12 \: }}}}\)

⠀

\({ \longrightarrow \qquad{ { \sf{ Volume_{(cylinder)} = 3.14 \times 6.25 \times 12 \: }}}}\)

⠀

\({ \longrightarrow \qquad{ { \sf{ Volume_{(cylinder)} = 3.14 \times 75 \: }}}}\)

⠀

\({ \longrightarrow \qquad{ \boldsymbol { \pmb{ Volume_{(cylinder)} = 235.5 \: }}}}\)

⠀

Therefore,

Try this option:

1) the rule 1: if f(x)=u(x)*v(x), then f'(x)=u'(x)*v(x)+u(x)*v'(x), where u(x)=x³, v(x)=ln(cos²x);

2) the rule 2: if f(x)=u(v(x)), then f'(x)=u'(v(x))*v'(x), where u(v(x))=ln(cos²x), v(x)=cos²x;

3) according to the rules above:

f'(x)=(x³)'*ln(cos²x)+x³*(ln(cos²x))';

\(f`(x)=3x^2ln(cos^2x)+x^3*\frac{1}{cos^2x}*(-2sinxcosx)=3x^2ln(cos^2x)-2x^3tanx.\)

Answer: 3x²ln(cos²x)-2x³tanx.

The values of the variables, a, b, and c obtained from the equation of the circle and the coordinates of the point P are;

a) a = 2

b = -2

c = 4

The general equation of a circle is; (x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The coordinates of the radius of the circle

The specified equation of a circle is; x² + y² = 9

The coordinates of the center of the circle, is therefore, O = (0, 0)

a) The coordinates of the points P  and O indicates that the gradient of OP, obtained using the slope formula is; ((3·√3)/4 - 0)/(3/2 - 0) = ((3·√3)/4)/(3/2)

((3·√3)/4)/(3/2) = (√3)/2

The specified form of the gradient is; (√3)/a, therefore;

(√3)/a = (√3)/2

a = 2

The value of a is 2

b) The gradient of the tangent to a line that has a gradient of m is -1/m

The gradient of OP is; (√3)/2, therefore, the gradient of the tangent at P is -2/(√3)

The form of the gradient of the tangent at P is b/(√3), therefore;

-2/(√3) = b/(√3)

b = -2

The value of b is; -2

c) The coordinate of the point on the tangent, (0, (7·√3)/c) indicates

Slope of the tangent = -2/(√3)

((7·√3)/c - ((3·√3)/4))/(0 - (3/2)) = -2/(√3)

((7·√3)/c - ((3·√3)/4)) = (3/2) × 2/(√3) = √3

(7·√3)/c = √3 + ((3·√3)/4) = 7·√3/4

Therefore; c = 4

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After subtraction (3x+4) - (x+7), the resultant answer is 2x-3.

One of the four operations used in mathematics, along with addition, multiplication, and division, is subtraction.

Removal of items from a collection is represented by the operation of subtraction.

For instance, in the following image, there are 5 2 peaches, which means that 5 peaches have had 2 removed, leaving a total of 3 peaches.

So, we have:

(x+7) and (3x+4)

We have to subtract as:

(3x+4) - (x+7)

Now, subtract as follows:

(3x+4) - (x+7)

3x+4 - x-7

2x-3

Therefore, after subtraction (3x+4) - (x+7), the resultant answer is 2x-3.

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Zone(area) = L x W = 2.5 x 2.5 = 6.25 square meters. 

Of all rectangles with an edge of 10 meters, the one that has the greatest zone(area) could be a square.

To see why, let's assume that a rectangle with a border of 10 meters has measurements of length L and width W.

At that point, we know that:

2L + 2W = 10

Rearranging this condition, we get:

L + W = 5

Presently, we need to discover the most extreme range encased by the rectangle, which is given by:

Area = L x W

Able to illuminate for one variable in terms of the other utilizing the condition L + W = 5:

L = 5 - W

Substituting this expression for L into the condition for the zone, we get:

Zone = (5 - W) x W

Extending and disentangling this expression, we get:

Area = 5W - W²

To discover the most extreme esteem of this quadratic expression, we will take its subsidiary with regard to W and set it to break even with zero:

dArea/dW = 5 - 2W =

Tackling for W, we get:

W = 2.5

Substituting this esteem back into the condition for the edge, we get:

L = 2.5

Hence, the measurements of the rectangle that has the greatest region are L = 2.5 meters and W = 2.5 meters, which implies it could be a square. The most extreme zone enclosed by the rectangle is:

Zone(area) = L x W = 2.5 x 2.5 = 6.25 square meters. 

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Answer:

I have no clue

Step-by-step explanation:

1. Search online

2. Never count on me again!

Answer:

3y⁷ + 2y⁵ - 4y³ + y + 12

Step-by-step explanation:

2y⁵ + y + 3y⁷ - 4y³ + 12

(greatest - least powers)

I hope this helps!

Answer:

\( Slope (m) = -\frac{3}{4} \)

Step-by-step explanation:

Using any two pairs from the table of values given, (-2, 5) and (2, 2):

\( Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} \)

Where,

\( (-2, 5) = (x_1, y_1) \)

\( (2, 2) = (x_2, y_2) \)

Plug in the value into the slope formula:

\( Slope (m) = \frac{2 - 5}{2 -(-2)} \)

\( Slope (m) = -\frac{3}{4} \)

Step-by-step explanation:

-6 < 3x - 12 <= 9

6 < 3x <= 21 (add 12)

2 < x <= 7 (divide by 3)

The graph that correct represents this solution set is the 2nd graph.

Answer:

The answer is 3 people.

Step-by-step explanation:

$37.50 ÷ 3= $12.50 per person

Answer:

3

3×12.50=37.50

Step-by-step explanation:

12.50+12.50=25.00

25.00+12.50=37.50

12.50×3=37.50

Answer:

Step-by-step explanation:

Answer:

140.5 square yards

Step-by-step explanation:

split the triangle from the shape: 8+7=15yd

area of triangle = 1/2 x base x height

= 1/2 x 5 x 15

=37.5 square yards

split the rectangle from the shape: 7+2=9yd

area of rectangle = length x width

= 11 x 9

= 99 square yards

split the square from the shape

area of square = n squared

= 2^2

= 4 square yards

add them all up: 37.5+99+4

= 140.5 square yards is the final answer

my bad if you can't read the working out in the picture

Answer:

5 weeks

Step-by-step explanation:

We know that she works at a rate of $12 an hour, she also works 20 hours a week.

The total amount she makes per week is $240 (12 x 20). However, that is without deductions. We have to subtract $34 from the $240.

$240 - $34 = $206.

$206 is the amount she makes in a week and she wants to save $950. How many weeks does she have to save? Well, let's divide.

$950 / $206 = 4.6 weeks. However, if we have to round up to 5 weeks.

Answer and Step-by-step explanation:

Use the Pythagorean theorem to solve.

Plug in the value 5 for a, and 6 for b. c will stay as c.

\(a^{2}+ b^{2}= c^{2} \\\\\\5^{2}+6^{2}= c^{2} \\\\\\25 + 36= c^{2} \\\\\\61 = c^{2} \\\\\\\sqrt{61} = c\)

5 squared is equal to 25, and 6 squared is equal to 36.We add those together to get 61.

We then square root both sides of the equation to get c by itself, resulting in the square root of 61.

The square root of 61 becomes 7.810249676

c = 7.8102

To check, you would multiply that number by itself, then you will get 61. With the rounded version, you would get close to 61.

If you got 7.08 as an answer, then multiplying it by itself results in 50.1264, which isn't close to 61.

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Answer:

\(Volume = 7x^3y+48x^2y^2-7xy^3 -35x^2-240xy-35y^2\)

Step-by-step explanation:

Given

Shape: Cube

Dimension: (x+7y), (7x-y) and (xy-5).​

Required

Determine the volume

The volume is calculated by multiplying the dimensions:

\(Volume = (x+7y) * (7x-y) * (xy-5)\)

Evaluate the first 2 brackets

\(Volume = [x(7x-y)+7y(7x-y)] * (xy-5)\)

\(Volume = [(7x^2-xy)+(49xy-7y^2)] * (xy-5)\)

\(Volume = [7x^2-xy+49xy-7y^2] * (xy-5)\)

\(Volume = [7x^2+48xy-7y^2] * (xy-5)\)

Open brackets

\(Volume = xy[7x^2+48xy-7y^2] -5[7x^2+48xy-7y^2]\)

\(Volume = 7x^3y+48x^2y^2-7xy^3 -35x^2-240xy-35y^2\)

9514 1404 393

Answer:

Step-by-step explanation:

As with the angle pairs, use the corresponding vertices to name corresponding segments.

As is done here, I find it convenient to list the vertices vertically in the order shown in the similarity statement.

This can make it easier to identify the corresponding vertices used for naming segments.

__

Moving on the the extended proportion, ...

The denominator HI uses the first two vertices, with E corresponding to H and F corresponding to I. The appropriate ratio is ...

  EF/HI

The denominator HJ uses the 1st and 3rd vertices, with E (still) corresponding to H and J corresponding to G. The appropriate ratio is ...

  EG/HJ

Similar thinking is used to identify the last ratio:

  FG/IJ

Then the extended proportion is ...

  EF/HI = EG/HJ = FG/IJ