Suppose that a bike rents for $4 plus $3 per hour. Write an equation in slope intercept form to represent
the cost to rent the bike as a function of time. What does the slope represent? What does the y-intercept
represent? What would the total rental fee be if someone rented the bike for 6 hours?

The tank contains 1050 milliliters of water when full or 1.05 liters.

To calculate the volume of the tank in milliliters, we multiply the length (15 cm), width (7 cm), and height (10 cm) together:

15 cm x 7 cm x 10 cm = 1050 cm³

Since 1 milliliter equals 1 cubic centimeter (cm^3), we know that the tank can hold 1050 milliliters of water.

To convert milliliters to liters, we can divide the volume in milliliters by 1000:

1050 mL ÷ 1000 = 1.05 L

Therefore, when full, the tank can hold 1050 milliliters of water or 1.05 liters.

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In the curve of the sinusoidal curve when x = -2 y = 2

A sinusoidal curve, also known as a sine wave, is a type of waveform that is commonly used to describe oscillations or periodic phenomena in various fields such as physics, engineering, mathematics, and electronics.

A sinusoidal curve is a graph of a function that oscillates between an upper value and a lower value, and repeats itself over a period of time.

In order to find the value of y when x = -2, from the x-axis at x = -2 trace it to touch the curve and then trace to the y-axis to get the y value (Check the attached).

Therefore, when x = -2, y = 2

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Answer:

22.57

Step-by-step explanation:

multiply 18.50 by .22 and add it to 18.50

Answer:

Elizabeth will pay $22.57 in total at the restaurant.

Step-by-step explanation:

First, you need to find the tip, which is 22% of the bill. 22% of 18.5 is 4.07. Then you add that number to the bill and get 22.57.

Answer:

(3, -2)

Step-by-step explanation:

the formula for this is (x, y) ---> (-y, x)

Answer:

x +15 + x -1 =1

x+x +15-1 =1

2x-14=1

2x-14-14=1-14

2x =-13

2x÷2=-13÷2

x=-6 and a half

Answer:

(- 2, 4 )

Step-by-step explanation:

A translation of 5 units left means subtract 5 from the original x- coordinate.

A translation of 6 units up means add 6 to the original y- coordinate.

Thus

(3, - 2 ) → (3- 5, - 2 + 6 ) → (- 2, 4 )

The coordinates of the point (3,-2), translated 5 units left and 6

units up are (-2, 4) option (D) (-2, 4) is correct.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that:

The point (3,-2), translated 5 units left and 6 units up.

A 5-unit left translation entails taking 5 away from the initial x-coordinate.

A translation of six units upwards entails multiplying the initial y-coordinate by six.

After applying the translation:

(3, -2) → (3- 5, - 2 + 6) → (-2, 4)

Thus, the coordinates of the point (3,-2), translated 5 units left and 6

units up are (-2, 4) option (D) (-2, 4) is correct.

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Answer:

24+44=68

4(6 + 11)=68

2(12 + 22)=68

6(4+ 11)=90

2(12+ 6)=36

Answer-A

Step-by-step explanation:

Answer:

24+44=68

4(6 + 11)=68

2(12 + 22)=68

6(4+ 11)=90

2(12+ 6)=36Step-by-step explanation:

It would be in the order it is

Answer:

-36

Step-by-step explanation:

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Answer:

Total Cost (p) = 90 + 14p

For 70 people = $1070

Step-by-step explanation:

Let p stand for the number of people attending the banquet

Fixed cost = $90

Variable cost = $14p

Total Cost (p) = 90 + 14p

=================

Cost for 70 people (p=70)

Total Cost = $90 + $14(70)

Total = $1070

Answer:

Step-by-step explanation:

A. 62

B. 58

C. -19

Answer:

16.2, 18,2, 20.2, 22.2, 24.2

Step-by-step explanation:

Let

\(x\)

represent an even interger.

Remeber that even intergers have a distance of 2 from each other.

So next four consecutive intergers are

\(x + 2\)

\(x + 4\)

\(x + 6\)

and

\(x + 8\)

Part 2: Five consective intergers have a sum of 101, and qe must find the numbers so

\(x + x + 2 + x + 4 + x + 6 + x + 8 = 101\)

\(5x + 20 = 101\)

\(5x = 81\)

\(x= 16.2\)

Answer:

1 = B, 2 = B, 3 = C

Step-by-step explanation:

1) When there are same digits with exponents being multiplied, you add the exponents

2) When an exponent is being distributed through a parenthesis, you multiply

3) When there are same digits with exponents being divided, you subtract the exponents

The overall sample for the survey consists of 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors, totaling 155 students.

To create an overall sample for the survey, the administrators selected a certain number of students from each class level. They randomly sampled 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors. By combining these individual samples from each class, the administrators obtained an overall sample size of 50 + 40 + 35 + 30 = 155 students. This overall sample represents a portion of the student population from each class level and allows for a representation of students from different academic years in the survey.

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Let Q be the third charge placed at x = +26 cm. We can use the principle of superposition of electric fields to find the value of Q such that the total electric field at x = +13.0 cm is zero.

To do this, we can use the equation for the electric field due to a point charge:E = kQ/r²where E is the electric field, Q is the charge of the point charge, r is the distance between the point charge and the point where the electric field is measured, and k is Coulomb's constant, k = 8.99 × 10^9 Nm²/C². By the principle of superposition of electric fields, the total electric field at x = +13.0 cm is the vector sum of the electric fields due to the three point charges: E_total = E_1 + E_2 + E_3 where E_1 is the electric field due to the charge of +2.20 pC at the origin, E_2 is the electric field due to the charge of -4.80 pC at x = -12.0 cm, and E_3 is the electric field due to the unknown charge Q at x = +26 cm.

We want the total electric field at x = +13.0 cm to be zero. Therefore,E_total = 0 = E_1 + E_2 + E_3 We can solve this equation for Q:E_3 = - (E_1 + E_2)Q/0.26 = (8.99 × 10^9 Nm²/C²) [(+2.20 × 10^-12 C)/0.13 m² + (-4.80 × 10^-12 C)/0.25 m²]Q ≈ -1.82 × 10^-12 C Therefore, the third charge that should be placed at x = +26 cm so that the total electric field at x = +13.0 cm is zero is Q ≈ -1.82 × 10^-12 C (negative because it must have the same sign as the charge of the point charge at the origin), to three significant figures.

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the T-bill rate is 5%, and the expected rate of return of the S&P 500 index is 13%.

The alpha of a portfolio measures its risk-adjusted performance compared to the market. It is calculated by subtracting the risk-free rate from the portfolio's expected rate of return and adjusting for the portfolio's beta.

For portfolio A, the alpha can be calculated as follows:

Alpha_A = Expected return_A - Risk-free rate - Beta_A × (Expected return_market - Risk-free rate)

Alpha_A = 12% - 5% - 0.7 × (13% - 5%)

For portfolio B, the alpha can be calculated as follows:

Alpha_B = Expected return_B - Risk-free rate - Beta_B × (Expected return_market - Risk-free rate)

Alpha_B = 16% - 5% - 1.4 × (13% - 5%)

Calculating these expressions will give the alpha values for portfolios A and B.

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Answer:

\(-16\)

Step-by-step explanation:

\(f(5)=4(5)-1=19 \\ \\ g(5)=2^5+3=35 \\ \\ (f-g)(5)=f(5)-g(5)=19-35=-16\)

The probability of being no blue marble in the experiment is given as follows:

P(no blue) = 27/100.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

The total number of outcomes for this problem is given as follows:

100.

The desired outcomes are those with only white marbles, which are of:

27.

Hence the probability of being no blue marble in the experiment is given as follows:

P(no blue) = 27/100.

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Answer:

the 11th term is 0.0000488 or 4.88*10^-5.

Step-by-step explanation:

a3 = 20, a7 = 1.25

a7 = a3r^7-3

1.25 = 20r^4

r^4 = 0.0625

r = 4th root of 0.0625

r = 0.5

a3 = a1r^3-1

20 = a1(20)^2

400a1 = 20

a1 = 0.05

a11 = 0.05(0.5)^11-1 = 0.0000488 or 4.88*10^-5

Answer:

m =10

Step-by-step explanation:

Barry = m

S = m+5  since they are 5 years older

A = m-3  since they are 3 years younger

Add to get the total

m + (m+5) + (m-3) = 32

Combine like terms

3m +2 = 32

Subtract 2 from each side

3m+2-2 = 32-2

3m = 30

Divide by 3

3m/3 = 30/3

m =10

Answer:

That would be a 30% profit. 

Step-by-step explanation:

Answer:

x<-2

Step-by-step explanation:

17+4x<9

4x<-8

x<-2

The solution is:

Work/explanation:

Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).

Make sure that all constants are on the right:

\(\bf{4x < 9-17}\)

\(\bf{4x < -8}\)

Divide each side by 4:

\(\bf{x < -2}\)

The effective annual rate for 9% compounded daily is approximately 9.34%, for 9% compounded monthly is approximately 9.38%, and for 9% compounded yearly is 9%.

To calculate the effective annual rate, we use the formula: (1 + r/n)^n - 1, where r is the stated annual interest rate and n is the number of compounding periods per year.

For 9% compounded daily, the calculation is (1 + 0.09/365)^365 - 1, resulting in an effective annual rate of approximately 9.34%.

For 9% compounded monthly, the calculation is (1 + 0.09/12)^12 - 1, which gives an effective annual rate of approximately 9.38%. Finally, for 9% compounded yearly, there is no need for calculation as the stated interest rate and the effective annual rate are the same, which is 9%. The effective annual rate takes into account the compounding frequency and represents the total interest earned on an investment over a year. Higher compounding frequencies lead to slightly higher effective annual rates due to more frequent interest accumulation.

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Answer:

the answer is 8.902 i don't know if you need to round

Step-by-step explanation:

supplements :

a) 180-110 = 70°

b) 180-135 = 45°

c) 180-150= 30°

d) 180-70=110°

e) 180-45= 135°

a) 4x +5x = 180° (as they are linear pair)

9x=180°

x=180/9

x=20°

4x = 4×20 = 80°

5x = 5×20= 100°

b) 2x-10° + 3x+20° = 180°(as they are linear pair)

5x+10° = 180°

5x= 180°- 10°

5x = 170°

x= 170/5

x= 34°

2x-10° = 2×34-10= 68-10 = 58°

3x+20° = 3×34+20° = 102 + 20° = 112°

c) complementary angles = 90°

let the common ratio be x.

first number is 2x

second number is 3x

2x+3x= 90°

5x= 90°

x=90°/5

x= 18°

first number = 2x = 2×18 = 36°

second number = 3x = 3×18° = 54°

d)

let an angle = x°

Then, complementary Angle of x° = 90° - x°

Difference between the angles = 10°

So, equation = x° - (90° - x°) =

10°x° - 90° + x° =

10°2x° - 90° = 10°2x°

= 10° + 90°2x° = 100°x°

= 100°÷2x° = 50°

An Angle = 50°

Second Angle = 90° - x° = 90° - 50° = 40°

Answer:

10 is subtracted from a third of a number is greater than 22

Step-by-step explanation:

1/3n-10>22​

you subtract 10 from 1/3n

1/3 - 10 is greater than 22

so:

10 is subtracted from a third of a number is greater than 22

Answer:

2=x y=-6

Step-by-step explanation:

x+y=-4

x-y=8

(-)(-)=+

(-)(+)=-

2+-6=-4

2--6=8

hwuw8w92kywjaia01owuqta56a62652629292092827wgbs

The value of the x is 7.9

What is proportion?

Two ratios are set to be equal in an equation called a proportion.

Given,    \(\frac{7}{8} = \frac{x}{9}\)

or, 8x = 9*7

or, 8x = 63

or, x = 63/8

or, x = 7.875 = 7.9 (rounded to the nearest tenth)

Therefore, the required value of x is 7.9

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