Rachael needs to rent a car while on vacation. The rental company charges $17.95, plus 19 cents for each
mile driven. If Rachael only has $40 to spend on the car rental, what is the maximum number of miles she
can drive?

Answer:

Proved

Step-by-step explanation:

a=180-x

c=a= 180-x

d=180-a = 180-(180-x) =x

b=d=x

adding every angle;

a+b+c+d= 180-x + x + 180-x + x

a+b+c+d = 180+180 = 360

a+b+c+d = 4 *90

The sum of the interior of the quadilateral is equal to 4 right angles.

The point where two lines meet is known as an angle

The given figure is a quadrilateral.

For the quadrilateral

According to the theorem;

a  + c = 180 ...... 1

b + d = 180 ...... 2

Add both equations

a + b + c + d = 180 + 180

a + b + c + d = 360

Note that 1 right angle = 90degrees

4 right angles = 4(90) = 360 degrees

Therefore a + b + c + d = 4 right angles (Proved)

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Answer:

612,300

600,000

10,000

2,000

300

00

0

Answer:

4 = 6

5 = -17

Step-by-step explanation:

4. a² - b / b² - c

a² = 2² = 4

b = -2

4 - (-2) = 4 + 2 = 6

6 / b² - c = 6/4 - 3 = 6/1 = 6

4 = 6

5. -3x² + 2xy + 7

-3x² = -3 * -2² = -3 * 4 = -12

2xy = 2 * -2 * 3 = -4 * 3 = -12

-12 + -12 + 7 = -24 + 7 = -17

5 = -17

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

Rate of Return is 14.8%

Step-by-step explanation:

We know that 20 shares of Stock are purchased for $30 per share.

This gives us a total value of: 20 × 30 = $600.

Now, the shares are sold for $710 with a commission sale of $6. This means the final money going to the seller is; 710 – 6 = $704.

Thus, the rate of return percentage is = (704 – 600)/704) × 100% = 14.7727%

To the nearest tenth gives us 14.8%

Answer:

51 miles

Step-by-step explanation:

Boat with 7 gallons of gas = 21 miles

Boat with 1 gallon of gas = 21/7 = 3 miles

Boat with 17 gallons of gas = 17 x 3 = 51 miles

Answer:

51 miles

Step-by-step explanation:

1 gallon = 3 miles

17 gallons = ? miles

17 * 3 = 51 miles

Answer:

chash greatly ta 45uerywryrsyrsyrs

Answer:

the answer should be B

Step-by-step explanation:

take the total of people who got the flu(63) and the amount of them who were vaccinated(35) and write it as a fraction. 35/63 in its simplest form is 5/9

Answer:

Answer:

AB or the distance across the river is about 171.36 meters.

Step-by-step explanation:

Please refer to the diagram below (not to scale). The area between the two blue lines is the river.

To find AB, we can use the Law of Sines. Recall that:

[tex]\displaystyle \frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c}[/tex]

BC (or a) is opposite to ∠A and AB (or c) is opposite to ∠C. Thus, we will substitute in these values.

First, find ∠A. The interior angles of a triangle must total 180°. Thus:

[tex]m\angle A + m\angle B + m\angle C = 180^\circ[/tex]

Substitute:

[tex]\displaystyle m\angle A + (112.2^\circ) +(18.3^\circ) = 180^\circ[/tex]

Solve for ∠A:

[tex]m\angle A = 49.5^\circ[/tex]

Substitute BC for a, AB for c, 49.5° for A and 18.3° for C into the Law of Sines. Thus:

[tex]\displaystyle \frac{\sin 49.5^\circ}{BC} = \frac{\sin 18.3^\circ}{AB}[/tex]

Since BC = 415 m:

[tex]\displaystyle \frac{\sin 49.5^\circ}{415} = \frac{\sin 18.3^\circ}{AB}[/tex]

Solve for AB. Cross-multiply:

[tex]\displaystyle AB \sin 49.5^\circ = 415\sin 18.3^\circ[/tex]

And divide:

[tex]\displaystyle AB = \frac{415\sin 18.3^\circ}{\sin 49.5^\circ}[/tex]

Use a calculator. Hence:

[tex]AB = 171.3648...\approx 171.36\text{ m}[/tex]

AB or the distance across the river is about 171.36 meters.

Answer:

Consider the following identity:

Let a = 2, b = 1/2

Use the algebraic identity given below

[tex]\boxed{\sf a^3-b^3=(a+b)(a^2-ab+b^2)}[/tex]

[tex]\\ \sf\longmapsto (2+\dfrac{1}{2})(2^2-1+\dfrac{1}{4})[/tex]

[tex]\\ \sf\longmapsto (2+\dfrac{1}{2})(2^2-2\times \dfrac{1}{2}+\dfrac{1}{2}^2)[/tex]

[tex]\\ \sf\longmapsto 2^3-\dfrac{1}{2}^3[/tex]

[tex]\\ \sf\longmapsto 8-\dfrac{1}{8}[/tex]

Domain : ( – ∞ ,  ∞ ) , {x/x ∈ R }

Range : [ 0 ,  ∞ ) , { y/y ⩾ 0 }

I hope I helped you^_^

Answer:

pretty sure its D

Answer:

I have to give 2 Ans for my question

9514 1404 393

Answer:

Step-by-step explanation:

The expression written here is interpreted according to the Order of Operations as ...

  8x -(5/6)x

This reduces to (7 1/6)x, which is defined for all real numbers.

__

Maybe you intended the expression ...

  (8x -5)/(6x)

This expression is undefined where its denominator is zero, at x = 0.

Answer:

A. 6

B. 2

C. 8

D. 3

all the answers to the previous questions

The value of the function (f -g)(x) will be 2x^3 + 7x^2 - 7x - 3

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable, Linear function is a function whose graph is a straight line

We are given that the function as;

[tex]f(x) = 2x^3 + 7x^2 - 4x - 5[/tex]

[tex]g(x) = 3x - 2[/tex]

We need to find the function as (f - g)(x)

(f -g)(x) = f(x) -g(x)

(f -g)(x) = 2x^3 + 7x^2 - 4x - 5 - 3x + 2

(f -g)(x) = 2x^3 + 7x^2 - 7x - 3

Therefore, the correct option is C 2x^3 + 7x^2 - 7x - 3

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Answer:

no

Step-by-step explanation:

Substitute the point into the equation and see if it is true

34 = 2(7) +8

34 = 14+8

34 = 22

Since this is not true, the point does not satisfy the equation

Answer:

No

Step-by-step explanation:

because 7 is X and 34 is Y

So its 2 *7 +8=22

so no

Answer:

the answer for y is 9 and x is 9✔2( the check is square root symbol)

Answer:

The x intercepts are 2, -4

The y intercept is -8

The minimum is -9

Step-by-step explanation:

f(x)=x^2+2x-8

To find the x intercepts, set equal to zero and factor

0 =x^2+2x-8

0 = (x+4)(x-2)

Using the zero product property

0 = x+4    0 = x-2

x = -4        x = 2

The x intercepts are 2, -4

To find the y intercepts, set x =0 and solve for y

y = 0^2 +2(0) -8

y = -8

The y intercept is -8

Since the coefficient of the x^2 is positive, the parabola opens up so we have a minimum.

The vertex is  halfway between the x intercepts

(-4+2)/2 = -2/2 = -1

To find the minimum substitute x= -1 into the equation

f(x)=x^2+2x-8

f(-1) = (-1)^2 +2(-1)-8 = 1-2-8 = -9

The minimum is -9

Graph attached

x intercepts (-4,0) and (2,0)

Y intercept :-

Put x=0

(0,-8)

Vertex is the minimum

Answer:

31

Step-by-step explanation:

93/3=31

So UV is equal to 31

Answer:

31

Step-by-step explanation:

The compound ineqality which the number line represents will be 5x ≥ -15 or 5x ≤ 10 so option (B) must be correct.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

A mathematical expression is said to be unequal if the sides are not equal. Essentially, comparing any two values shows whether one is smaller, greater, or equal to the value on the other side of the equation.

In option (B) given that

5x ≥ -15

⇒ x ≥ -15/5

⇒ x ≥ -3

And

5x ≤ 10

⇒ x ≤ 10/5

⇒ x ≤ 2

By looking at the number line it is clear that the blue line is greater than -3 and less than 2 hence it will be correct.

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Answer:

Step-by-step explanation:

Answer:

then what's the question???..

9514 1404 393

Answer:

  $8440

Step-by-step explanation:

8 quarters at $830 per quarter is 8×$830 = $6640.

When the cost of books is added, the total is ...

  $6640 +1800 = $8440

Answer:

True negative numbers are considered as diseased individual. So, the true negative numbers will increase

Step-by-step explanation:

True negative numbers are considered as diseased individual. So, the true negative numbers will increase.

9514 1404 393

Answer:

Step-by-step explanation:

Put the given coordinates in the equation for the line and solve for the unknown.

  y = -2x +3

  (p, 6) ⇒ 6 = -2p +3   ⇒   p = -3/2

  (-3, q) ⇒ q = -2(-3) +3   ⇒   q = 9

  (r, 8) ⇒ 8 = -2r +3   ⇒   r = -5/2

41.9 mi

Step-by-step explanation:

First, we convert the angle from degree measure to radian measure:

[tex]\theta = 240°×\left(\dfrac{\pi}{180°}\right)= \dfrac{4\pi}{3}\:\text{rad}[/tex]

Using the definition of an arc length [tex]s[/tex]

[tex]s = r\theta[/tex]

[tex]\:\:\:\:=(10\:\text{mi})\left(\dfrac{4\pi}{3}\:\text{rad}\right)[/tex]

[tex]\:\:\:\:= 41.9\:\text{mi}[/tex]

9514 1404 393

Answer:

  D.  $584.43

Step-by-step explanation:

Using the given formula with the given values, we find ...

  A(17) = 150·e^(0.08·17) = 584.43

Answer:

s= 16t^2+128t, answer.......

Answer:

[tex]352\ yd^2[/tex]

Step-by-step explanation:

1. Approach

The surface area of a three-dimensional figure is the two-dimensional space around the figure. Simply put, if one was going to wrap the figure up in paper, the surface area is the amount of paper one would need to wrap the entirety of the figure. One can find the surface area of a figure by finding the area of each individual facet of the figure and then adding up the areas.

2. Finding the area of the triangular faces

The formula to find the area of a triangle is the following:

[tex]A_t=\frac{b*h}{2}[/tex]

Where (b) is the base of the figure, and (h) is the figure's height. Since there is only one type of triangular face, one only has to find the area of one triangular face and then multiply its measurement by four.

Triangle 1

[tex]A_t=\frac{b*h}{2}[/tex]

[tex]A_t=\frac{11*10.5}{2}[/tex]

[tex]A_1=\frac{115.5}{2}[/tex]

[tex]A_t=57.75[/tex]

3. Finding the area of the quadrilateral

The following formula can be used to find the area of a quadrilateral:

[tex]A_q=b*h[/tex]

Substitute the dimensions of the quadrilateral in and solve for its area:

[tex]A_q=b*h[/tex]

[tex]A_q=11*11[/tex]

[tex]A_q=121[/tex]

4. Find the total surface area of the figure

To find the total surface area of the figure, add up all of the area values of its faces. Remember the area of the triangular face is multiplied by four because there are four triangular faces.

[tex]4(A_t)+(A_q)=A[/tex]

[tex]4(57.75)+121=A[/tex]

[tex]231+121=A[/tex]

[tex]352=A[/tex]