a car uses 57 liters of gasoline for every 644 kilometers traveled. it takes 8 hours to use all the gasoline in the tank. what is the average speed of the car during the trip?

Answer:

x = 35

Step-by-step explanation:

consider the triangle on the left

the left vertex and 36° are vertically opposite angles and are congruent.

the right vertex = 180° - (36 + 38)° = 180° - 74° = 106°

consider the triangle on the right

right vertex and 109° are a linear pair and sum to 180°

right vertex = 180° - 109° = 71°

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

106° is an exterior angle of the triangle on the right , that is

x + 71 = 106 ( subtract 71 from both sides )

x = 35

Answer:

X= 40

Step-by-step explanation:

if you compare the shapes, the X square is half of 6. so i added 6 and 3, then 2 and 3, then multiplied it, and the answer is 40.

The example of area is the amount of wallpaper for a wall in a bedroom.

Area is a measure of the two-dimensional space inside a closed shape, such as a rectangle, triangle, or circle. It is typically expressed in square units, such as square meters, square inches, or square feet. In this case, the amount of wallpaper needed to cover a wall in a bedroom is an example of area because it requires measuring the two-dimensional space of the wall in order to determine the amount of wallpaper needed. The wall can be measured by finding the length and width and multiplying the two measurements together to get the total area. The amount of wallpaper needed is then determined by dividing the total area of the wall by the area of a single roll of wallpaper.

The number of towels that can fit in a bathroom cabinet and the amount of ribbon used to decorate a room from one end to another are not examples of area. The number of towels that can fit in a cabinet is a measure of volume, while the amount of ribbon used to decorate a room is a measure of length.

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Answer:

the last answer

Step-by-step explanation:

Answer:

I believe the answer is A.

Step-by-step explanation:

Since, it must subtract 4,885.78 due to the fact that they already used it. Moreover, it should be ≤ since 7,250.50 is their limit.

Answer:

Range....Domain

Step-by-step explanation:

A P E X

Answer:

Range and Domain.

Step-by-step explanation:

The length of line JM would be = 19.2.

To calculate the missing length of the given figure above, the following steps should be taken as follows:

The formula that should be used is given as;

= GJ/GM = HK/HN

where;

GJ = 16

GM = 16+X

HK = 15

HN = 15+18 = 33

That is;

16/16+x = 15/33

16×33 = 15(16+X)

528 = 240+15x

528-240 = 15x

15x = 288

X = 288/15

= 19.2

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Answer: 289,952,278

Step-by-step explanation: Big brain

Answer:

1000-273=M

Step-by-step explanation:

Jarry has 273 and needs 1000 so take the number he needs by the marbles he has to find the marbles he needs to fill the jar. Hope this helped

The required equation that models the number of marbles still needed to fill the jar is M = 1000 - 273.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

here,

Jarry has a jar with 273 marbles in it. The jar can hold 1,000 marbles in all.

Let the number of marbles that are still to be filled by M
And the equation is given as,
M = 1000 - 273

Thus, the required equation that models the number of marbles still needed to fill the jar is M = 1000 - 273.

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The measure of angle m∠EDC = 25°, round to the nearest tenth.

For the given question

As the both diagonal of the rectangle are equal.

ΔAED is isosceles triangle.

Then,

m∠ADE = m∠DAE = 50°

As all 4 angles of the triangle are equal.

m∠EDC = 90 - m∠ADE

             = 90 - 65

m∠EDC = 25°

Thus, the measure of the angle m∠EDC = 25°, round to the nearest tenth.

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The diagram for the question is attached.

Answer:

cherry street is 85 yards, while orange dr. and peach ave. is 113 yards, meaning that cherry st. is 28 yards faster

Step-by-step explanation:

85 x 85) - (77 - 77) = 1296

square root of 1296 is 36

77 + 36 = 113

113 - 85 = 28

this means that cherry st. is 28 yds faster

using the Pythagorean Theorum

hope i helped

-lvr

Answer:

-.56296296296...

Step-by-step explanation:

\(\frac{(2)(-35)-13}{(-6.75)(15)}\)

\(\frac{70-13}{-101.25}\)

\(\frac{57}{-101.25}\)

-.56296296296...  The 296 is repeating

Answer:

Step-by-step explanation:

Geometric sequences have a common ratio between terms.  TRUE

Geometric sequences are restricted to the domain of natural numbers.  FALSE

Geometric sequences can have a first term of 0.  FALSE.  If this were true, then every member the sequence would also be 0.

The correct statements are,

Geometric sequences have a common ratio between terms.

A geometric series is one which has a constant ratio between successive terms.

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Answer:

30,19

Step-by-step explanation:

let the numbers be x and y,x>y

x+y=49

x-y=11

add

2x=60

x=60/2=30

30+y=49

y=49-30=19

Answer:

x = first number = 30 and y = second number = 19

Step-by-step explanation:

let the first number be x and second number be y.

According to the given information

The sum of the two numbers is 49

Here, we get the equation.

x + y = 49

Now, Similarly second given information

the difference is 11.

Here, we get the equation.

x - y = 11

Now,

Step 1:

Name the equations

x + y = 49 ...(1)

x - y = 11 ...(2)

Step 2:

Now,

From equation (1) we get,

x = 49 - y

Substitute the value of x = 49 - y in equation (2) we get,

x - y = 11

i.e.,

49 - y - y = 11

49 - 2y = 11

-2y + 49 = 11

2y - 49 = - 11

2y = 49 - 11

2y = 38

y = 38/2

y = 19

Step 3:

Now,

Put the value of y = 19 in equation (1), we get.

x + y = 49

i.e.,

x + 19 = 49

x = 49 - 19

x = 30

Thus, The value of x = first number = 30 and y = second number = 19

30 + 19 = 49

30 - 19 = 11

Step-by-step explanation:

30x³y³z²+12x²y²z³-18x⁵y⁶z

6x²y²z(5xyz+2z²-3x³y⁴).

hope this helps you.

The terms through degree four of the Maclaurin series is \(f(x)=x+x^{2} +\frac{5x^{3} }{6} +\frac{5x^{4} }{6} +.....\).

In this question,

The function is f(x) = \(\frac{sin(x)}{1-x}\)

The general form of Maclaurin series is

\(\sum \limits^\infty_{k:0} \frac{f^{k}(0) }{k!}(x-0)^{k} = f(0)+\frac{f'(0)}{1!}x+\frac{f''(0)}{2!}x^{2} +\frac{f'''(0)}{3!}x^{3}+......\)

To find the Maclaurin series, let us split the terms as

\(f(x)=sin(x)(\frac{1}{1-x} )\) ------- (1)

Now, consider f(x) =  sin(x)

Then, the derivatives of f(x) with respect to x, we get

f'(x) = cos(x), f'(0) = 1

f''(x) = -sin(x), f'(0) = 0

f'''(x) = -cos(x), f'(0) = -1

\(f^{iv}(x)\) = cos(x), f'(0) = 0

Maclaurin series for sin(x) becomes,

\(f(x) = 0 +\frac{1}{1!}x +0+(-\frac{1}{3!} )x^{3} +....\)

⇒ \(f(x)=x-\frac{x^{3} }{3!} +\frac{x^{5} }{5!}+.....\)

Now, consider \(f(x) = (1-x)^{-1}\)

Then, the derivatives of f(x) with respect to x, we get

\(f'(x) = (1-x)^{-2}, f'(0) = 1\)

\(f''(x) = 2(1-x)^{-3}, f''(0) = 2\)

\(f'''(x) = 6(1-x)^{-4}, f'''(0) = 6\)

\(f^{iv} (x) = 24(1-x)^{-5}, f^{iv}(0) = 24\)

Maclaurin series for (1-x)^-1 becomes,

\(f(x) = 1 +\frac{1}{1!}x +\frac{2}{2!}x^{2} +(\frac{6}{3!} )x^{3} +....\)

⇒ \(f(x)=1+x+x^{2} +x^{3} +......\)

Thus the Maclaurin series for \(f(x)=sin(x)(\frac{1}{1-x} )\) is

⇒ \(f(x)=(x-\frac{x^{3} }{3!} +\frac{x^{5} }{5!}+..... )(1+x+x^{2} +x^{3} +......)\)

⇒ \(f(x)=x+x^{2} +x^{3} - \frac{x^{3} }{6} +x^{4}-\frac{x^{4} }{6} +.....\)

⇒ \(f(x)=x+x^{2} +\frac{5x^{3} }{6} +\frac{5x^{4} }{6} +.....\)

Hence we can conclude that the terms through degree four of the Maclaurin series is \(f(x)=x+x^{2} +\frac{5x^{3} }{6} +\frac{5x^{4} }{6} +.....\).

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The cost of 300 bricks is equal to $1,512.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have;

Volume of bricks = 8 × 3 × 3

Volume of bricks = 72 cubic inches.

For the cost per cubic inch, we have:

Cost per cubic inch = 72 × 0.07

Cost per cubic inch = $5.04

For the cost of 300 bricks, we have:

Cost of 300 bricks = 300 × $5.04

Cost of 300 bricks = $1,512

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Answer:

1/3 or 0.33

Step-by-step explanation:

Hope it helps

LMK if it does and weather it is wrong or right

The fraction of the volume of the larger cone occupied is 1/3.

Draw the cones. If the large cone has height H and radius R, the small cone has height h and radius r, so that

r/R = 1 - h/H

The ratio of the two volumes is v/V = r²h/R²H = (r/R)² h/H

if we maximize that ratio as a function of u = h/H, we get

f(u) = (1-u)² × u

= (u - 2u² + u³)

f'(u) = (1-4u+3u²)

= (h-1)(3h-1)

Clearly, when u=1, f(u) = 0 a minimum

when u = 1/3, f(h) = 4/9×1/3 = 4/27

so, h/H = 1/3 for max volume ratio.

Hence we get the required answer.

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Answer:

676

Step-by-step explanation:

You need to find out abcde and then find out what bd is after that you must divide them both by 3

Hope that helped

Answer:

could you be more specific pls

Answer:

\(m=\frac{d-n}{4}\)

Step-by-step explanation:

\(d=n+4m\\d-n=n+4m-n\\d-n=4m\\\frac{d-n}{4}=\frac{4m}{4}\\\frac{d-n}{4}=m\)

Answer:

it would be d because 2 and 4 would only make sense to be 27° and 1 to be 153

Answer:

<1 = <3 = 153

<2 = <4 = 27

Step-by-step explanation:

Angle 1 and Angle 3 are equal since they are vertical angles

<1 = <3 = 153

<1 and <2 make a straight line so they add to 180

153 + <2 = 180

<2 = 180-153

<2 = 27

<2 and <4 are equal since they are vertical angles

<2 = <4 = 27

PLUG IN

\( \frac{11}{10} \)

in the place of x in the function and simplify.

\(f( \frac{11}{10} ) = 2( \frac{11}{10} ) - 7 \\ f( \frac{11}{10} ) = \frac{22}{10} - 7 \\ f( \frac{11}{10} ) = \frac{ - 48}{10} \\ f( \frac{11}{10} ) = \frac{ - 24}{5} \)

ATTACHED IS THE SOLUTION

Hello!

To solve for f(11/10)

 ==> must simply plug '11/10' into x's position in the equation

    \(f(\dfrac{11}{10} )=2(\dfrac{11}{10} )-7=\dfrac{11}{5} -7=\dfrac{11}{5} -\dfrac{35}{5} =-\dfrac{24}{5}\)

Hope that helps!

Answer:

\(\huge\boxed{\tt{3}}\)

Step-by-step explanation:

Given the expression:

\(\displaystyle \frac{3y+6}{2x}\)

Given that: y = 4 , x = 3

\(\displaystyle = \frac{3(4)+6}{2(3)} \\\\= \frac{12+6}{6} \\\\= \frac{18}{6} \\\\= 3\\\\\rule[225]{225}{2}\)

Hope this helped!

Answer:

Option A, 33.2 yd

Step-by-step explanation:

A² + B² = C²

50² + x² = 60²

2500 + x² = 3600

x² = 3600 - 2500

x² = 1100

x = \(\sqrt{1100}\)

x = 33.2

Hope this helps!

The value of the variable, x, is 17

From the question, we are to determine the value of the variable

The variable in the given diagram is x.

In the given diagram, we have an isosceles triangle.

The measure of one of the angles is 29°. Since the measures of the base angles of an isosceles triangle are equal,

Then,

The measure of the other base angle is 29°.

The measure of the vertex is (11x - 65)°

Thus, we can write that

29° + 29° + (11x - 65)° = 180°  (Sum of angles in a triangle)

Now,

Solve for x

29° + 29° + (11x - 65)° = 180°

(11x - 65)° = 180° - 29° - 29°

(11x - 65)° = 122°

11x - 65 = 122

11x = 122 + 65

11x = 187

x = 187/11

x = 17

Hence, the value of the variable, x, is 17

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Answer:

Step-by-step explanation:

10cm = 2m

10cm = 200cm

10 times 20 = 200

0.7m = 70cm

70 times 20 = 1400cm

or 14m

Answer:

$72

Step-by-step explanation:

Let's use substitution to identify the cost of 24 notebooks.

The equation is represented as:

\(3x = ?\)

Substitute 24 into x:

\(3(24) = ?\)

Solve:

\(72\)

The inverse maps (x,y) onto (y,x).