A truck can be rented from Company A for ​$130 a day plus ​$0.30 per mile. Company B charges ​$70 a day plus ​$0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

In this Trigonometric Functions F(x) = 1 + cos(1/X):  n=3 (12.01, 8.10),  n=4 (11.65,8.50), and n=6 (11.24, 9.12), with their upper and lower value

What is Trigonometric Functions?

Trigonometry uses six fundamental trigonometric operations. Trigonometric ratios describe these operations. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six fundamental trigonometric functions. The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Using trigonometric formulas, the sine, cosine, tangent, secant, and cotangent values are calculated for the perpendicular side, hypotenuse, and base of a right triangle.

F(x) = 1 + cos(1/X)

for n=3

Upper sum = 12.01

Lower sum = 8.10

Δx = (b-a)/n = 2π / 3

for n=4

Upper sum = 11.65

Lower sum = 8.50

Δx = (b-a)/n = π / 2

for n=6

Upper sum = 11.24

Lower sum = 9.12

Δx = (b-a)/n = π / 3

Hence, n=3 (12.01, 8.10),  n=4 (11.65,8.50), and n=6 (11.24, 9.12), with their upper and lower value.

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Answer:

The range stays 48°

Step-by-step explanation:

The range is the difference between the highest and lowest values in the data set. Before adding 80.2°, the highest temperature is 105° and the lowest temperature is 57°, so the range is 105° - 57° = 48°.

After adding 80.2°, the highest temperature becomes 105° + 80.2° = 185.2° and the lowest temperature becomes 57° + 80.2° = 137.2°. So the new range is 185.2° - 137.2° = 48°.

Therefore, the range stays the same at 48°. The answer is: The range stays 48°.

Answer:

The range stays 48°

Step-by-step explanation:

Answer: Name: Standard form but im not sure what the y intercept is srry

Step-by-step explanation:

Answer:

First Step of solving this expression: Multiply

Answer for the expression: 40

Step-by-step explanation:

To find the first step you need to follow the order of operation

Parenthesis

Exponents

Multiplication and Division

Addition and Subtraction

Since there are not Parenthesis or Exponents then you may skip that step but there is a multiplication sign so the first step is Multiplication

To solve multiply 6 and 3

Which is 18

Now the expression looks like this:

28-11+18+5

Now simplify from left to right:

28-11=17

17+18=35

35+5=40

Hope this helps!

Answer: Multiply 6*3, then add 18+5, then subtract 28-11, then add them:

17 + 23 = 40!

Step-by-step explanation: PEMDAS:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

the p-value (0.208) is greater than the significance level (0.01), we fail to reject the null hypothesis

To determine if there is evidence to suggest that the proportion of voters who believe pharmaceutical companies invent diseases to make money is different for Democrats and Republicans, we can perform a hypothesis test. Let p1 be the proportion of Democrats who believe in the conspiracy theory, and p2 be the proportion of Republicans who believe in the conspiracy theory.

Let's set up the hypotheses:

Null hypothesis (H0): p1 - p2 = 0 (There is no difference in the proportions of Democrats and Republicans who believe in the conspiracy theory)

Alternative hypothesis (Ha): p1 - p2 ≠ 0 (There is a difference in the proportions of Democrats and Republicans who believe in the conspiracy theory)

We will use a two-sample proportion test to test these hypotheses. The test statistic for this test is given by:

\(\[ Z = \frac{\hat{p}_1 - \hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})(\frac{1}{n_1}+\frac{1}{n_2})}} \]\)

where:

- \(\( \hat{p}_1 \)\) and \(\( \hat{p}_2 \)\) are the sample proportions of Democrats and Republicans who believe in the conspiracy theory, respectively.

- n₁ and n₂ are the sample sizes of Democrats and Republicans, respectively.

- \(\( \hat{p} \)\) is the overall proportion of belief in the conspiracy theory, calculated as the total number of believers divided by the total sample size.

The p-value is the probability of observing a test statistic as extreme or more extreme than the one calculated from the sample data, assuming the null hypothesis is true.

Given the sample data:

Democrats: n₁ = 788 and \(\( \hat{p}_1 = \frac{137}{788} \)\)

Republicans: n₂ = 866 and \(\( \hat{p}_2 = \frac{105}{866} \)\)

Let's calculate the test statistic and the p-value:

Step 1: Calculate \(\( \hat{p} \)\):

Total number of believers = 137 + 105 = 242

Total sample size = 788 + 866 = 1654

\(\( \hat{p} = \frac{242}{1654} \)\)

Step 2: Calculate the test statistic (Z):

\(\[ Z = \frac{\frac{137}{788} - \frac{105}{866}}{\sqrt{\frac{242}{1654} \cdot \left(1 - \frac{242}{1654}\right) \cdot \left(\frac{1}{788} + \frac{1}{866}\right)}} \]\)

≈ -1.258

Step 3: Calculate the p-value using the standard normal distribution table for a two-tailed test.

To calculate the p-value, we need to find the probability that a standard normal distribution is less than or greater than the absolute value of the test statistic. Since the alternative hypothesis is two-sided (p1 ≠ p2), we will calculate the p-value as twice the probability of the test statistic being greater than the absolute value of the calculated z-value.

Using a standard normal distribution table or a statistical software, we find that the p-value is approximately 0.208.

Conclusion:

Since the p-value (0.208) is greater than the significance level (0.01), we fail to reject the null hypothesis. There is insufficient evidence to suggest that the proportion of voters who believe pharmaceutical companies invent diseases to make money is different for Democrats and Republicans.

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The equation of the perpendicular line is:

y = (-1/13)*x - 87/13

For a general linear equation:

y = a*x + b

Another linear equation that is perpendicular to the above one is given by:

y = (-1/a)*x + c

Where a, b, and c are real numbers.

In this case, we want to find a perpendicular line to:

y = 13*x - 2

Then it will be something like:

y = (-1/13)*x + c

To find the value of c, we use the fact that it must pass through the point (4, -7), then:

-7 =  (-1/13)*4 + c

Now we can solve that for c:

-7 + 4/13 = c

-87/13

Then the linear equation is:

y = (-1/13)*x - 87/13

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The truck's altitude decreases by about 814.32 feet (to the nearest foot) as it drives two miles downhill.

Given that,

Angle of depression = 4.5 degree

Distance = 2 miles

               =  2 x 5,280

               = 10,560 ft.

Let h be the altitude of the truck and d be the horizontal distance the truck travels downhill.

Since, we know that,

When the spectator is higher than the item being observed, an angle of depression is generated.

When an observer looks at an object that is located at a lower distance than the observer, an angle is produced below the horizontal line drawn with the level of the observer's eye and the line connecting the object to the observer's eye.

Then we know that,

tan(4.5°) = height/distance

Substitute the values and solve for h, we get:

h = d tan(4.5°)

  = 10,560xtan(4.5°)

⇒ h ≈ 814.32 ft.

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Answer:

Bacteria replicate by binary fission, a process by which one bacterium splits into two. Therefore, bacteria increase their numbers by geometric progression whereby their population doubles every generation time.

The general formula for a geometric sequence is\(\[{{a}_{n}}={{a}_{1}}{{r}^{n-1}}\]\)

where \(\[{{a}_{1}}\] = first term\) and\(\[{{r}_{1}}\]= common ratio\).

Step-by-step explanation:

• Given \(\[{{a}_{1}}=4\]\) and \(\[{{a}_{5}}=324\]\) , we have to find \(\[{{a}_{2,}}{{a}_{3}}\]\) and \(\[{{a}_{4}}\]\).

• In order to find the common ration consider about formula \(\[{{a}_{n}}={{a}_{1}}{{r}^{n-1}}\]\)

       \(& 324=4{{(r)}^{5-1}} \\ & 81={{(r)}^{4}} \\ & {{(3)}^{4}}={{(r)}^{4}} \\ & r=3 \\ \end{align}\)

        Bacteria found after 2 hour is  

       \(& {{a}_{2}}=4{{(3)}^{2-1}} \\ & {{a}_{2}}=12 \\ \end{align}\)

         Bacteria found after 3 hour is -

        \(& {{a}_{3}}=4{{(3)}^{2}} \\ & {{a}_{3}}=36 \\ \end{align}\)

         Bacteria found after 4 hour is –

        \(& {{a}_{4}}=4{{(3)}^{4-1}} \\ & {{a}_{4}}=4(27)=108 \\ \end{align}\)

 • Hence the bacteria found at 2,3 and 4 hours is 12,36 and 108.

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Answer:

The domain is[ -3, ♾)

Step-by-step explanation:

The graph above shows the graph of it parent function,

\(y = \sqrt{x} \)

It includes x=0 because 0 is a perfect square.

Now consider the transformed function

\( \sqrt{x + 3} \)

There is two ways to solve this:

Way#1. Algebra.

Remeber that we can't take the square root of a negative number.

(i.e We can but it isn't graphable on a Cartesian coordinate plane).

We can take the square root of 0 so we must set the number in the radical equal to 0.

\(x + 3 = 0\)

\(x = - 3\)

We include the point at x=-3, so we put a [ in front of -3. This number can accept any number as we approach positive infinity. So the domain is

♾)

The number of ways is 120 ways.

The given scenario states that there is one extra pack of 10 identical pens and the owner of these pens decided to give away all the 10 pens to 3 of their classmates.

Now, we need to find out the number of ways that these pens can be distributed among these 3 classmates. We can use the formula for combinations to solve this problem.

The formula for combinations is as follows:

ⁿCk = n! / (k! * (n - k)!)

Where n represents the total number of items, k represents the number of items being selected, and ! represents the factorial function.

Here, n = 10 (total number of pens), k = 3 (number of classmates)So, the number of ways that the pens can be distributed to these 3 classmates is given by:

¹⁰C3 = 10! / (3! * (10 - 3)!)

¹⁰C3  = (10 * 9 * 8) / (3 * 2 * 1)

¹⁰C3  = 120

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Answer:

1.654

Step-by-step explanation:

Plugged in the calculator

Answer:

  C.  20/12 = 100/x

Step-by-step explanation:

The ratio of interest is (fruit juice)/(total liquid) = x/100. The usual way that would be expressed is ...

  (12 cups)/(12 cups + 8 cups) = x/100

  12/20 = x/100

We note that the only answer choice with the numbers 12, 20, and 100 is C. Checking that against the expected relation above, we see that both sides are inverted, so the proportion of C is equivalent to the one we expect.

The height of wall where the ladder will reach is 17.21 foot according to the angle and length of ladder.

The ladder, wall and ground will form a right angled triangle. Thus, height will be calculated based on the angle. So, sin theta = perpendicular/hypotenuse.

Perpendicular is the wall and hypotenuse is the length of ladder. Now,

sin 73° = perpendicular/18

Perpendicular = 18 × 0.96

Multiply the values on Right Hand Side of the equation

Perpendicular = 17.21 foot

Therefore, the length of the wall is 17.21 foot where ladder will reach.

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The equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3.Given two points (-8, 9) and (2, -6). We are supposed to find the equation of the line that passes through these two points.

We can find the equation of a line that passes through two given points, using the slope-intercept form of the equation of a line. The slope-intercept form of the equation of a line is given by, y = mx + b,Where m is the slope of the line and b is the y-intercept.To find the slope of the line passing through the given points, we can use the slope formula: m = (y2 - y1) / (x2 - x1).Here, x1 = -8, y1 = 9, x2 = 2 and y2 = -6.

Hence, we can substitute these values to find the slope.m = (-6 - 9) / (2 - (-8))m = (-6 - 9) / (2 + 8)m = -15 / 10m = -3 / 2Hence, the slope of the line passing through the points (-8, 9) and (2, -6) is -3 / 2.

Now, using the point-slope form of the equation of a line, we can find the equation of the line that passes through the point (-8, 9) and has a slope of -3 / 2.

The point-slope form of the equation of a line is given by,y - y1 = m(x - x1)Here, x1 = -8, y1 = 9 and m = -3 / 2.

Hence, we can substitute these values to find the equation of the line.y - 9 = (-3 / 2)(x - (-8))y - 9 = (-3 / 2)(x + 8)y - 9 = (-3 / 2)x - 12y = (-3 / 2)x - 12 + 9y = (-3 / 2)x - 3.

Therefore, the equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3. Thus, the answer is (-3/2)x - 3.

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Using line tangent, the approximation for f(2.1) is 3.95

Given,

The point (a, f(a)) is on the line tangent to the graph of y = f(x) at x = a, which has a slope of f'(a).

The equation be like;

y - f(a) / (x - a) = f'(a)

y = f'(a) (x - a) + f(a)

Using the provided data and a = 2, we can determine that the tangent line to the graph of y = f(x) at x = 2 has equation

y = f'(2) (x - 2) + f(2)

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

To compute a "approximation of f(2.1) using the line tangent to the graph of f at x = 2," one must substitute x = 2.1 for f in the equation for the tangent line (2.1). You get 2.1 when you plug this in.

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

y = -1/2 (2.1 - 2) + 4

y = -1/2 x 0.1 + 4

y = 3.95

That is,

The approximation for f(2.1) using line tangent is 3.95

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Answer:

20

Step-by-step explanation:

5 outcomes from spinner, 4 from cards.

5x4=20

The solution is, the total number of possible outcomes 30.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

Explanation:

Given:

To find:

The number of possible outcomes

The first event(flipping a coin) has 2 possible outcomes = Head or Tail

The second event(picking a card) has 5 possible outcomes = P, Q, R, S, T

The third event (spinning the spinner) has 3 possible outcomes = 1, 2, 3

So the total number of possible outcomes = 2 * 5 * 3 = 30

Hence, The solution is, the total number of possible outcomes 30.

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Answer:

8

Step-by-step explanation:

1/4πr² + (2x4) - 1/4πr²

r = 4

8

Answer:

its a rectangle

Step-by-step explanation:

how to explain this

Answer:

i dont know

Step-by-step explanation:

Answer: 50

Step-by-step explanation:

Answer:

5x(3x+7)

15x+35x

Answer= 50x

Step-by-step explanation:

First, distribute the 5X to both values in the parentheses. Then, because they have the same variable, add them together to get your final answer.  

Step step :

-HayabusaBrainly

Answer:

B

Step-by-step explanation:

Answer:

its 7/3 . multiplicative inverse is just its opposite

Answer:

True

Step-by-step explanation:

Answer: the answer is true sorry if its wrong

Step-by-step explanation:

have a nice day buddy

The volume of a stack of 9 books is 1368.75 cubic inches.

To find the volume of a stack of 9 books, we first need to find the height of the stack. Since each book is 3/4 inch thick, the height of the stack is 9 times 3/4 inch, which is 6 3/4 inches.

Now we need to find the area of the base of the rectangular prism formed by the stack of books. Since each book has an area of 22 1/2 square inches, the total area of the base of the stack is 9 times 22 1/2 square inches, which is 202 1/2 square inches.

Therefore, the volume of the stack of 9 books is:

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Answer:

c) 4 terms

Step-by-step explanation:

3x is 1 term ,2y is 1 term,z is 1 term,6 is also 1 term

so in all there are 4 terms

The slope of line 1 is -8. The slope of line 2 is also -8.

Slope of Line 1: -8 We know that the formula to find the slope of a line passing through two points A(x1,y1) and B(x2,y2) is given by:

Slope m = (y2 - y1) / (x2 - x1)

Let's find the slope of line 1 by putting the values from the given information:

Slope of Line 1 = (y2 - y1) / (x2 - x1)

= (-18 - 6) / (3 - 0)

= -24 / 3

= -8

Therefore, the slope of line 1 is -8. Slope of Line 2: -8

Using the same formula as above, let's find the slope of line 2 by putting the given values:

Slope of Line 2 = (y2 - y1) / (x2 - x1)

= (-32 - 16) / (5 - (-1))

= -48 / 6

= -8

Therefore, the slope of line 2 is also -8.

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11.1% of porcelain tile has strength up to 185 per square inch, while 6% has strength of 206.4 per square inch.

a. To find the percent of its popular porcelain tile that will have breaking strengths at most 185 pounds per square inch, we can use the Z-score formula. The Z-score formula is Z = (x - μ) / σ. In this problem, x is 185, μ is 200, and σ is 6.2. Plugging these values into the formula, we get Z = -2.42. To find the percent of tiles that have a breaking strength of at most 185 pounds per square inch, we can use a Z-score table. Looking up -2.42 on the Z-score table, we get a probability of 0.011, or 11.1%.

Z = (x - μ) / σ.

x=185

μ =200

σ = 6.2

Z = -2.42

Hence, probability = 0.011, or 11.1%.

b. The strongest 6% of its popular porcelain tile will have a breaking strength of 206.4 pounds per square inch. To find this value, we can use the Z-score formula again. This time, we will use a positive Z-score of 1.645, which corresponds to a probability of 0.06. Plugging this value into the formula, we get,

x = μ + (Z * σ).

Thus, x = 200 + (1.645 * 6.2) = 206.4.

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The two equations that can be used to find the height are as follows

12 / 4 = h  /5

5 / 4 = h  / 12

We have given that,

Amelia is 5 feet tall and casts a 4-foot shadow. A tree next to her casts a 12-foot shadow.

Similar triangles are not necessarily the same in size. Corresponding angles of similar triangles are congruent. The sides of a similar triangle are a ratio to each other.

The tree casts a shadow of 12 ft. Let's establish the proportion base on similar triangles. The height of the tree is h. Therefore,

h / 12 = 5 / 4

Therefore, h / 12 = 5 / 4

cross multiply

4h = 60

divide both sides by 4

h = 60 / 4

h = 15 ft

Therefore, the two equations that can be used to find the height are as follows

12 / 4 = h  /5

5 / 4 = h  / 12

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Answer:

i am on ttm

Step-by-step explanation:

12/4=h/5

5/4=h/12

We know,

\({\qquad { \longrightarrow \pmb {\sf Volume_{(Sphere)} = \dfrac{4}{3} \pi {r}^{3} }}}\)

⠀

Here,

⠀

Substituting the values in the formula :

\({ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times \dfrac{22}{7} \times {\bigg(14 \bigg)}^{3} }}}\)

⠀

\({ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times \dfrac{22}{7} \times {2744 }}}}\)

⠀

\({ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times \dfrac{22}{ \cancel7} \times \cancel{2744 }}}}\)

⠀

\({ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{ \cancel3} \times {22} \times \cancel{392 }}}}\)

⠀

\({ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = {4} \times {22} \times {130.66 }}}}\)

⠀

\({ \longrightarrow {\qquad {\pmb{\mathfrak{ Volume_{(Sphere)} = { 11498.66 }}}}}}\)

⠀

Therefore,