Mary will rent a car for a day. The rental company offers two pricing options: Option A and Option B. For each pricing option, cost (in dollars) depends on miles driven, as shown below. 120+ Option A 101 90 Option B 80+ Cost (in dollars) 70 6 50 10 50 20 101 0 2 ou as is its ado 225 20 to 300 as its 400 Miles driven Х 5 ? (a) If Mary drives the rental car 250 miles, which option costs more? O Option A Option B How much more does it cost than the other option? s[] (b) For what number of miles driven do the two options cost the same? D If Mary drives less than this amount, which option costs less? O Option A O Option B​

Answer:

193.2

Step-by-step explanation:

27.6x7 \(27.7\\ x 7\\--------\\ 19.39\)

Answer:

21.8cm is the required answer

Step-by-step explanation:

The measurement of the third side of the triangle is 22 cm

The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.

Given is a triangle with angles 75° and 31.8° also two of its sides are 12 and 22 we need to find the third side of the triangle,

Finding angle A

180°-(75°+31.8°) = 73.2°

Now, using the sine law,

Sin 73.2° / a = Sin 75° / 22

a = 21.80

a ≈ 22

Hence, the measurement of the third side of the triangle is 22 cm

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Answer:

He's right it's 16

Step-by-step explanation:

The smaller number is 16.

The numbers that include natural numbers and zero and not a fraction or decimal, {0, 2, 3, 4, 5 6, 7, 8, 9, 10, 11 …}

Given that, the difference between two whole numbers is 6, twice the smaller number is 10 more than the larger number

Let the larger number be x and the smaller number be y,

Then according to question,

x - y = 6

2y - x = 10

Solving the equations, we get,

y = 16

x = 22

Hence, the smaller number is 16.

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the counting number just before C5F16 is 3,072.

Step-by-step explanation:

When w=10, 7w=7×10=70

But the given value of 7w is 73.

So, the given value is not a solution of the equation.

Answer:

1-2x>13

Step-by-step explanation:

1-2x>13

-2x>13-1

-2x>12

x>-12/2

x<-6

Answer: The range is 20, Standard Deviation, σ: 6.8702256149271

Step-by-step explanation:

I hope it helped!

<3

10) a. 130

Step-by-step explanation:

\(180 - 50 = 130\)

=[2\(x^{2}\)-y][3a-4b] This is the factorized form of 6a\(x^{2}\)-3ay - 8 b\(x^{2}\) + 4by

To factorize a number, use the factorization formula. Factorization is the process of dividing a whole into components that, when multiplied together, equal the original number. The factorization approach simplifies any algebraic or quadratic equation by using the basic factorization formula, which represents the equations as the product of factors rather than expanding the brackets. Any equation may have an integer, a variable, or the algebraic expression itself as a factor.

6a\(x^{2}\)-3ay - 8 b\(x^{2}\) + 4by

Rearrange the expression

6a\(x^{2}\) -8bx² -3ay +4by

2\(x^{2}\)[3a-4b] - y[3a-4b]

=[2\(x^{2}\)-y][3a-4b]

This is the factorized form of 6a\(x^{2}\)-3ay - 8 b\(x^{2}\) + 4by

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To answer that question we can find the surface area of the triangular prism, the surface area of the parallelogram, and after, remove the area where the parallelogram has contact with the triangular prism

Therefore, we can simplify it to

And the parallelogram

See that one face of the parallelogram has a contact with the prism, it's the area that we must subctract, it's xy, therefore

The formula to find the surface area of the figure is

Remember that

Therefore

Put it in a calculator

Answer:

D) 0.72

Step-by-step explanation:

I took the test .

Answer: its (D) 0.72

Step-by-step explanation:

Basically, the ones who shopped with a shopping list and bought only the expected items is 0.43 and row totals is 0.60. So what you do here is either calculate on your own or a easy option, you can just go on the internet, ( 0.43 out of 0.60  or  43 out of 60 ) and there will be answer 0.716666667  and then you just round it, like the question asked you and get 0.72

Answer:

2/3125

Step-by-step explanation:

Answer:

32/3125

Step-by-step explanation:

  (2/5)^5 = (2^5) / (5^5)

               = 32 /3125         means 2·2·2·2·2 = 32;   5·5·5·5·5= 3125

Answer:

New moon

Step-by-step explanation:

Answer:

c-new moon

Step-by-step explanation:

Answer:

The correct answer is 17.96875 or approximately 18 inches.

Step-by-step explanation:

Since the ratio of the model truck to the real truck is 5:64, and the length of the truck is 230 inches, that means the length of the model truck would be \(\frac{5}{64} * 230\) = \(\frac{575}{32}\) = 17.96875 ≈ 18 inches.

The estimated height of the older snail's shell is approximately 13 centimeters.

To estimate the height of the older snail's shell, we can use the concept of proportional relationships between the heights and volumes of the snail shells.

Let's denote the height of the older snail's shell as "h" (in centimeters). We can set up a proportion based on the relationship between the heights and volumes of the snail shells:

(height of younger snail) / (volume of younger snail) = (height of older snail) / (volume of older snail)

Substituting the given values:

3.9 / 3 = h / 10

To solve for "h," we can cross-multiply and then divide:

3 * h = 3.9 * 10

3h = 39

h = 39 / 3

h ≈ 13

The estimated height of the older snail's shell is approximately 13 centimeters.

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Answer:

A

Step-by-step explanation:

With function transformation, added/subtracted numbers outside of the x always mean the function is being translated up/down. In this case, since the 2 is being replaced with a 4, the new function is 2 units higher than the previous function.

The value of square root of x + y squared + z squared is 30

x = 2, y = 3 and z = -5

\(( \sqrt{x + y} )^{2} + z ^{2} \)

substitute the value of x, y and z

\( = ( \sqrt{2 + 3} )^{2} + - 5 ^{2} \)

simplify the square root and square

\( = (2 + 3) + 25\)

\( = 5 + 25\)

\( = 30\)

Ultimately, x + y squared + z squared is 30

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The statement about function g which is true is that: function g is exponential because g(x) changes by equal factors over equal intervals of x.

The slope of a line simply refers to the gradient of a line and it's typically used to describe both the ratio, direction and steepness of an equation of a straight line.

Mathematically, the slope of a straight line can be calculated by using this formula;

\(Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

Slope = (40 - 10)/(2 - 1)

Slope = 30/1

Slope = 30

Slope = (160 - 40)/(3 - 2)

Slope = 120/1

Slope = 120.

Factor = 40/10 = 4

Factor = 160/40 = 4

Factor = 640/160 = 4.

Therefore, function g is exponential because g(x) changes by equal factors over equal intervals of x.

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Answer:

(-5, 0)

|z| = 5

Step-by-step explanation:

Complex numbers can be represented on an Argand diagram.

The x-axis is called the real axis and the y-axis is called the imaginary axis.

The complex number  z = x + iy  is represented on the diagram by the point  P(x ,y), where x and y are Cartesian coordinates.

Therefore, the complex number z = -5 can be represented on the Argand diagram by the point:

The absolute value of a complex number is the magnitude of its corresponding vector.

For a complex number  z = x + iy,  the absolute value is given by:

\(|z|=\sqrt{x^2+y^2}\)

Therefore, the absolute value of complex number z = -5 is:

\(\implies |z|=\sqrt{(-5)^2+(0)^2}\)

\(\implies |z|=\sqrt{25+0}\)

\(\implies |z|=\sqrt{25}\)

\(\implies |z|=5\)

Answer: \(-3y^{2} +5x+2\)

Step-by-step explanation:

\(-3y^{2} +2x+2+3x\\2x+3x=5x\\\)

that is all that you can combine so it makes the answer \(-3y^{2} +5x+2\)

The figure will be in the third quadrant and the figure gets shrunk to half. The diagram is given below.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

If the figure is rotated 180 degrees and dilated by a factor of 1/2.

Then the new figure will be

Let the position of the figure is in the first quadrant. Then

After the rotation of 180 degrees of the figure, the figure will be in the third quadrant.

And if the scale factor is 1/2 then the figure gets shrunk to half.

The diagram is given below.

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please give brainliest

Answer:

To determine the share of Ama and Kofi when they share 300 tubers of yam in the ratio of 3:2, we first need to calculate the total number of parts in the ratio:

3 + 2 = 5

Now we can divide the total number of tubers by the total number of parts to find the value of one part:

300 tubers / 5 parts = 60 tubers per part

Finally, we can multiply the value of one part by the respective ratios to find the share of Ama and Kofi:

Ama's share: 3 parts * 60 tubers per part = 180 tubers

Kofi's share: 2 parts * 60 tubers per part = 120 tubers

Therefore, Ama will receive 180 tubers of yam, while Kofi will receive 120 tubers of yam.

Answer:

Function f is translated to the right 2 units, and then up 1 unit to obtain function g.

To see this, note that g(x) = (x+1)³ - 2 = (x-(-1))³ - 2. Comparing this to f(x) = (x-2)³, we see that replacing x with x+3 in f(x) gives g(x) = (x+3-2)³ = (x+1)³, so this transformation moves the graph of f(x) three units to the left. Then, adding the constant -2 to f(x) translates the graph down 2 units. Finally, adding the constant 2 to the result of the previous step translates the graph up 2 units, so the graph of g(x) is obtained by first translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:

Function f is translated to the right 2 units.

Function f is translated up 1 unit.

Function f is translated to the right 2 units, and then up 1 unit to obtain function g.

To see this, note that g(x) = √x - 2 + 1 = f(x-2) + 1. This means that the graph of g(x) is obtained by translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:

Function f is translated to the right 2 units.

Function f is translated up 1 unit.

Step-by-step explanation:

Answer:

8/5 = 1.6

Step-by-step explanation:

8/5 = 1.6

Answer:

A

Step-by-step explanation:

Step-by-step explanation:

75 = 3 x 5 x 5    in prime factorization

Answer:

Step-by-step explanation:

3x5x5

Answer:

The 2016 season schedule has been announced and Texas is sure to have a cross-town rival with the Mesquite Marshals who are one of three expansion teams entering the CIF this year. The Marshals get to visit the Allen Event Center twice where the Revolution haven’t lost since 2014. Meanwhile, Texas will reciprocate the 2-2 series with two visits to the historic Mesquite Rodeo Arena in 2016, but will have to visit familiar foes in the Wichita Force and the Dodge City Law to maintain their championship figure.

Step-by-step explanation:

The 2016 season schedule has been announced and Texas is sure to have a cross-town rival with the Mesquite Marshals who are one of three expansion teams entering the CIF this year. The Marshals get to visit the Allen Event Center twice where the Revolution haven’t lost since 2014. Meanwhile, Texas will reciprocate the 2-2 series with two visits to the historic Mesquite Rodeo Arena in 2016, but will have to visit familiar foes in the Wichita Force and the Dodge City Law to maintain their championship figure.

Answer:

Step-by-step explanation:

Total cost function, C = 15+9x-6x²+x

By differentiation,

dc/dx= 9-12x²+1

but

dc/dx= 0

9-12x²+1 = 0

-12x = -10

x=10/12

x=5/6

Answer:

2 Line segments that meet an endpoint