sa+9the bike for 4 hours and migrants the scooter for 3 hours what is the total cost of the total cost of the bike and scooter rentals is

Answer:

I would just think that it is 0

Step-by-step explanation:

0 is greater then -1 and it is the exact same thing and not less than 0

Answer:

-0.5

Step-by-step explanation:

<________-1_-0.5_0__1_________>

its greater than -1 and less than 0

The correct step to prove that \(BC^2 = AB^2 + AC^2\) is:

By the cross product property, \(AC^2 = BC \cdot AD\).

To prove that \(BC^2 = AB^2 + AC^2\), we can use the triangle similarity and the Pythagorean theorem. Here's a step-by-step explanation:

Given triangle ABC with right angle at A and segment AD perpendicular to segment BC.

By triangle similarity, triangle ABD is similar to triangle ABC. This is because angle A is common, and angle BDA is a right angle (as AD is perpendicular to BC).

Using the proportionality of similar triangles, we can write the following ratio:

\($\frac{AB}{BC} = \frac{AD}{AB}$\)

Cross-multiplying, we get:

\($AB^2 = BC \cdot AD$\)

Similarly, using triangle similarity, triangle ACD is also similar to triangle ABC. This gives us:

\($\frac{AC}{BC} = \frac{AD}{AC}$\)

Cross-multiplying, we have:

\($AC^2 = BC \cdot AD$\)

Now, we can substitute the derived expressions into the original equation:

\($BC^2 = AB^2 + AC^2$\\$BC^2 = (BC \cdot AD) + (BC \cdot AD)$\\$BC^2 = 2 \cdot BC \cdot AD$\)

It was made possible by cross-product property.

Therefore, the correct step to prove that \(BC^2 = AB^2 + AC^2\) is:

By the cross product property, \(AC^2 = BC \cdot AD\).

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Answer:

5

-12 + 8 = -4

-4 - (-9) = -4 + 9 = 5

Step-by-step explanation:

114 is 95% of 120

100% of 120 is 120, therefore 95 percent of 120 equals 114. To learn how to solve 114 is 95 percent of what number, see the step-by-step instructions below.

114 is 95 Percent of What Number?

Formula = Number x 100

Percent = 114 x 100

95 = 120

The following shows the steps to derive this formula and find out 95% of the number is 114.

Step 1: If 95% of a number is 114, then what is 100% of that number? Set up the equation.

114

95% = Y

100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

95Y = 114 x 100

95Y = 11400

Y = 11400

100 = 120

The scale factor used to create the image of polygon ABCD is 4.

To determine the scale factor, we need to compare the corresponding side lengths of the original polygon ABCD and the image polygon ABCD. Let's denote the scale factor as k.

Original polygon ABCD:

Side AB: length = 3 - 1 = 2

Side BC: length = -2 - (-1) = -1

Side CD: length = 1 - 3 = -2

Side DA: length = -2 - (-1) = -1

Image polygon ABCD:

Side AB: length = 12 - 4 = 8

Side BC: length = -3 - (-4) = 1

Side CD: length = 4 - 12 = -8

Side DA: length = -3 - (-4) = 1

Comparing the corresponding side lengths, we can set up the following equations:

k * 2 = 8 (for side AB)

k * (-1) = 1 (for side BC)

k * (-2) = -8 (for side CD)

k * (-1) = 1 (for side DA)

From the equations, we can see that k = 4 satisfies all of them.

Therefore, the scale factor used to create the image of polygon ABCD is 4.

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Answer:

slope: 2 , y-int: (0, -5)

Step-by-step explanation:

The solution is: the value of x is 13.5.

Here, we have,

We can use a ratio to solve

2        3

---- = ------

11        3+x

Using cross products

2(3+x) = 3*11

Distribute

6+2x = 33

Subtract 6

6+2x-6 = 33-6

2x = 27

Divide by 2

2x/2 = 27/2

x = 13.5

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complete question:

Solve for X

The value of the expression; y + 20 when y = 8 as required in the task content is; 28.

It follows from the task content that the value of the expression; y + 20 is to be determined given that the variable, y is equal to 8.

Since the given expression is; y + 20.

However, the given value of y is such that; y = 8.

Therefore, by the substitution property of equality; the resulting expression is;

8 + 20

= 28.

Ultimately, the value of the expression; y + 20 when y = 8 is; 28.

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Lacey can earn $53.73 as interest after 2 years compound interest monthly.

What is compound interest ?

   The interest charged on a bank account, loan, or investment simply grows exponentially over time rather than linearly. This is known as compound interest. Compound interest simply refers to earning interest on both your initial investments as well as any future interest those initial savings may generate. More compound interest will be earned by your child the earlier they start saving.

Here given , Total Amount A = $700.00 , Rate of Interest R = 4%,

Number of years T = 2 and compounded monthly so n= 12

First, convert R as a percent to r as a decimal

r = R/100

r = 4/100

r = 0.04 per year,

Using compound interest formula ,

=> A = p \((1+\frac{r}{n} )^(nt)\)

Then, solve the equation for P

P = A / \((1+\frac{r}{n} )^(nt)\)

P = 700.00 / (1 + 0.04/12)(12)(2)

P = 700.00 / (1 + 0.0033333333333333)(24)

P = $646.27

Here the principal amount is $646.27 , Then

Interest = amount - principal

=> Interest I = 700.00-646.27 = $ 53.73

Therefore interest which she earns $53.73.

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Answer:

Part A)

2048π/3 cubic units.

Part B)

8192π/15 units.

Step-by-step explanation:

We are given that R is the finite region bounded by the graphs of functions:

\(f(x)=4\sqrt{x}\text{ and } g(x)=x\)

Part A)

We want to find the volume of the solid of revolution obtained when rotating R about the x-axis.

We can use the washer method, given by:

\(\displaystyle \pi\int_a^b[R(x)]^2-[r(x)]^2\, dx\)

Where R is the outer radius and r is the inner radius.

Find the points of intersection of the two graphs:

\(\displaystyle \begin{aligned} 4\sqrt{x} & = x \\ 16x&= x^2 \\ x^2-16x&= 0 \\ x(x-16) & = 0 \\ x&=0 \text{ and } x=16\end{aligned}\)

Hence, our limits of integration is from x = 0 to x = 16.

Since 4√x ≥ x for all values of x between [0, 16], the outer radius R is f(x) and the inner radius r is g(x). Substitute:

\(\displaystyle V=\pi\int_0^{16}(4\sqrt{x})^2-(x)^2\, dx\)

Evaluate:

\(\displaystyle \begin{aligned} \displaystyle V&=\pi\int_0^{16}(4\sqrt{x})^2-(x)^2\, dx \\\\ &=\pi\int_0^{16} 16x-x^2\, dx \\\\ &=\pi\left(8x^2-\frac{1}{3}x^3\Big|_{0}^{16}\right)\\\\ &=\frac{2048\pi}{3}\text{ units}^3 \end{aligned}\)

The volume is 2048π/3 cubic units.

Part B)

We want to find the volume of the solid of revolution obtained when rotating R about the y-axis.

First, rewrite each function in terms of y:

\(\displaystyle f(y) = \frac{y^2}{16}\text{ and } g(y) = y\)

Solving for the intersection yields y = 0 and y = 16. So, our limits of integration are from y = 0 to y = 16.

The washer method for revolving about the y-axis is given by:

\(\displaystyle V=\pi\int_{a}^{b}[R(y)]^2-[r(y)]^2\, dy\)

Since g(y) ≥ f(y) for all y in the interval [0, 16], our outer radius R is g(y) and our inner radius r is f(y). Substitute and evaluate:

\(\displaystyle \begin{aligned} \displaystyle V&=\pi\int_{a}^{b}[R(y)]^2-[r(y)]^2\, dy \\\\ &=\pi\int_{0}^{16} (y)^2- \left(\frac{y^2}{16}\right)^2\, dy\\\\ &=\pi\int_0^{16} y^2 - \frac{y^4}{256} \, dy \\\\ &=\pi\left(\frac{1}{3}y^3-\frac{1}{1280}y^5\Bigg|_{0}^{16}\right)\\\\ &=\frac{8192\pi}{15}\text{ units}^3\end{aligned}\)

The volume is 8192π/15 cubic units.

Differentition of \(y=log_{2}x^{3}.(5x^{4}+2)\) is \(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x}\)

A differential equation is an equation that contains one or more functions with its derivatives.

Given,

\(y=log_{2}x^{3}.(5x^{4}+2)\)

We have to differentiate with respect to x.

y'=xy'+yx'

\(x=log_{2}x^{3}\)

\(y=5x^{4}+2\)

\(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x^{3}} .3x^{2}\)

\(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x}\)

Hence, differentiation of \(y=log_{2}x^{3}.(5x^{4}+2)\) is \(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x}\)

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Given:

You know that:

In order to solve the operation, you can follow these steps:

1. Distribute the negative signs. Remember the Sign Rules for Multiplication:

Then:

2. Combine the like terms (add the Real Parts and add the Imaginary Parts):

Hence, the answer is: Option B.

Answer:

No Clue!

Step-by-step explanation:

Answer:

1/3 of 24 is 8, so

8 = (2/3)x

x = 8(3/2) = 12

2/3 of 12 is 8.

Answer:

As the result of our discriminant is negative, this quadratic equation will have two complex solutions.

Step-by-step explanation:

Recall that the formula for a discriminant is \(b^2-4ac\)

From the given quadratic equation \(x^2+4x+8=0\), we can gather the values of a, b, and c

\(a=1\\b=4\\c=8\)

Now, we can put these numbers into our discriminant formula

\(b^2-4ac\\\\(4)^2-4(1)(8)\\\\16-32\\\\-16\)

As the result of our discriminant is negative, this quadratic equation will have two complex solutions.

As the point moves along the helix, it traces out a three-dimensional surface in space.The space curve would look like a helix in graph.

1. First, we need to find the vector-valued function r(t) using the given parameter.

2. We can use the parameter x+z=2 to solve for the y-coordinate in terms of t:

y = √(4 − (1+sin t)2 − (1 − sin t)2).

3. We can now substitute this expression into the vector-valued function to obtain:

r(t) = (1+sin t)i+ (√(4 − (1+sin t)2 − (1 − sin t)2))j+ (1-sin)k

4. The space curve represented by the intersection of the surfaces is a helix in a graph.

The space curve represented by the intersection of the surfaces is a helix. It is a three-dimensional curve that can be described by a vector-valued function r(t) with parameter t. The vector-valued function r(t) is given by:

r(t) = (1+sin t)i+ (√(4 − (1+sin t)2 − (1 − sin t)2))j+ (1-sin)k.

The helix can be visualized as a spiral that wraps around a cylinder and is generated by a point travelling around the circumference of the cylinder at a constant speed. This can be observed by noting that the x- and z-coordinates of the vector-valued function are constant and only the y-coordinate changes over time. As the point moves along the helix, it traces out a three-dimensional surface in space.

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Answer:

To prove that 7^7 - 7^6 is divisible by 6, we can factor out 7^6 from the expression:

7^7 - 7^6 = 7^6 (7 - 1)

Simplifying the expression, we get:

7^7 - 7^6 = 7^6 (6)

We can see that 7^6 is a common factor in the expression, and 6 is also a factor. Therefore, we can conclude that 7^7 - 7^6 is divisible by 6.

Step-by-step explanation:

Answer:

This is an arithmetic sequence because there is a common difference of 4 between each term

Answer:

0.3947368421 = approx 39%

Step-by-step explanation:

Add up all the number of times rolled on the right column.

=6+3+5+6+9+9

= 38 total rolls

Add up the number of times a 4 or a 5 were rolled:

= 6+ 9 = 15

Divide 15/38

=15/38=0.3947368421 = approx 39%.

Answer:

3.5 feet.

Step-by-step explanation:

There are 12 inches in a foot.

So, 42 ÷ 12 = 3.5.

Hope this helped, have a blessed day and best of luck!

Answer: 3.5 feet

Step-by-step explanation:

Answer:

f(3) = 19

Step-by-step explanation:

Substitute 3 for x.

f(3) = 2(3)² + 1

f(3) = 2(9) + 1

f(3) = 18 + 1

f(3) = 19

Answer:

x= 90

Step-by-step explanation:

An angle inscribed in a semicircle is a right angle

x =1/2 (180)

x = 90

The values of the function when x = 1 are y = 1 and y = 1

The functions are given as:

y(x) = x^2

y^2 = x

Also, the graphs of the functions are given.

From the given graph, we have:

The common numbers in both domain are represented by x >= 0

An example of such number is

x = 1

So, we have:

y(1) = 1^2 ⇒ y(1) = 1

y^2 = 1  ⇒ y = 1

Hence, the values of the function when x = 1 are y = 1 and y = 1

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Answer:

\(y = 32 - \frac{1}{2}x\)

Step-by-step explanation:

Given

\(Cups = 32\) ---- not 52

\(Students = x\)

\(Remainder = y\)

\(Each = \frac{1}{2}\) --- not z

Required

The equation for y

The remainder y is calculated as:

\(y = Cups - Students * Each\\\)

\(y = 32 - \frac{1}{2}x\)

Answer:

Step-by-step explanation:

That is a number plot and each number on the plot has a dot/s above and that is how much it is registered as but it can be changed and a dot can represent any number such as 10.

The 98% confidence interval estimating the difference in mean shoulder condition score one year after such interventions in the population of patients with persistent shoulder pain is given by:

(-2.5, 5.1).

For each sample, the mean and the standard error are given as follows:

Hence the mean and the standard error of the distribution of differences is given as follows:

The bounds of the confidence interval are given by the rule presented as follows:

\(\overline{x} \pm ts\)

The critical value, using a t-distribution calculator, for a two-tailed 98% confidence interval, with 72 + 65 - 2 = 135 df, is t = 2.35.

Then the bounds of the interval are:

The missing information is given by the image shown at the end of the answer.

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The value of the product of the number as given in the task content is; Choice B; 1.

It follows from the task content that the numbers whose product are to be determined are; ¾ and 1⅓.

To effectively multiply, we must convert the mixed number to a fraction as follows;

1⅓ = 4/3.

Hence, the product is; 4/3 × 3/4 = 12/12 = 1.

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