A taxi ride costs $3.50 plus $2.50 per mile driven. If Sasha has $37 in cash , what is the greatest whole number of miles she can ride in this taxi ? Happy Holiday ´ s...

The size of the angle between AH and the plane ABCD is approximately 74.4°, rounded to one decimal place.

To find the size of the angle between AH and the plane ABCD in the given cuboid, we can use the concept of three-dimensional geometry.

First, let's consider the right triangle BCA. The given angle BCA is 48°, and we know that the length of AB is 7.3 cm. Using trigonometric functions, we can find the length of BC:

BC = AB * sin(BCA)

BC = 7.3 * sin(48°)

BC ≈ 5.429 cm

Now, let's look at the right triangle BAH. The length of AH is given as 8.1 cm. We can find the length of BH by subtracting BC from AB:

BH = AB - BC

BH ≈ 7.3 - 5.429

BH ≈ 1.871 cm

Next, let's consider the right triangle ABH. We want to find the angle BAH, which is the complement of the angle between AH and the plane ABCD. We can use the cosine function to find the angle BAH:

cos(BAH) = BH / AH

cos(BAH) ≈ 1.871 / 8.1

BAH ≈ arccos(1.871 / 8.1)

BAH ≈ 74.4°

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Answer:

86.60254

Step-by-step explanation:

30-60-90 triangle, which means that the base is 10. 1/2(10)(10 rt 3). Simplify answer as needed :)

Answer:

it is either f or h

Answer:

Hey There !

Let's solve....

Let the larger number be x

Let the smaller number be y

So

Now x+y=40

So just add 40+8=48

We know that

\(2x = 48 \\ \\ \therefore \: x = \frac{48}{2} \\ \\ simplify \\ \\ \frac{ \cancel{48} \: ^{24} }{ \cancel{2} } \)

So larger number is 24

To find the smaller number.... Just subtract The total number by larger number that is

\(40 - 24 = 16 \\ \\ \)

So 16 is the smaller number...

Larger number is 24 and smaller is 16

Answer:

Step-by-step explanation:

we can do trial and improvement

let's start with 18 and 26

= 44

let's try something smaller

16 and 24

=40

the answer is 40

Answer:

Two ways to get the solution:

slope = rise

            run

slope =   1  

               3

or

slope = y2- y1

            x2 - x1

slope = -4 - (-5)

              3 - 0

slope =   1  

               3

The NBA draft is an important event for teams to improve their roster and build for the future.

The NBA draft is an annual event where the teams in the National Basketball Association (NBA) select new players to join their team.

The order in which the teams select players is determined by a lottery, with the worst-performing teams from the previous season having a higher chance of getting a higher draft pick.

The draft consists of two rounds, with each team having one pick per round.

Teams can also trade their draft picks with other teams before or during the draft. The selected players are then signed to a contract and can begin playing for their new team in the upcoming NBA season.

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Answer: -3 fraction form

-5

Step-by-step explanation:

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

4.5

Step-by-step explanation:

Answer:

The minimum exam score to be awarded an A is about 8.52.

Step-by-step explanation:

Let X represent the scores on a common final exam.

It is provided that X follows a normal distribution with mean, μ = 71 and standard deviation, σ = 9.

It is provided that according to the department policy is that the top 10% of students receive an A.

That is, P (X > x) = 0.10.

⇒ P (X < x) = 0.90

⇒ P (Z < z) = 0.90

The corresponding z-score is:

z = 1.28

Compute the value of x as follows:

\(z=\frac{x-\mu}{\sigma}\\\\1.28=\frac{x-71}{9}\\\\x=71+(1.28\times 9)\\\\x=82.52\)

Thus, the minimum exam score to be awarded an A is about 8.52.

The correct answer is Confidence interval lower bound: 32.52 cm,Confidence interval upper bound: 37.48 cm

To calculate the confidence interval for the true mean height of the loaves, we can use the t-distribution. Given that the sample size is small (n = 10) and the population standard deviation is unknown, the t-distribution is appropriate for constructing the confidence interval.

The formula for a confidence interval for the population mean (μ) is:

Confidence Interval = sample mean ± (t-critical value) * (sample standard deviation / sqrt(sample size))

For the first situation:

n = 15

Confidence level is 95% (which corresponds to an alpha level of 0.05)

x = 35 (sample mean)

s = 2.7 (sample standard deviation)

Using RStudio or a t-table, we can find the t-critical value. The degrees of freedom for this scenario is (n - 1) = (15 - 1) = 14.

The t-critical value at a 95% confidence level with 14 degrees of freedom is approximately 2.145.

Plugging the values into the formula:

Confidence Interval = 35 ± (2.145) * (2.7 / sqrt(15))

Calculating the confidence interval:

Lower Bound = 35 - (2.145) * (2.7 / sqrt(15)) ≈ 32.52 (rounded to 2 decimal places)

Upper Bound = 35 + (2.145) * (2.7 / sqrt(15)) ≈ 37.48 (rounded to 2 decimal places)

Therefore, the lower bound of the confidence interval is approximately 32.52 cm, and the upper bound is approximately 37.48 cm.

For the second situation:

n = 37

Confidence level is 99% (which corresponds to an alpha level of 0.01)

x = 82 (sample mean)

s = 5.9 (sample standard deviation)

The degrees of freedom for this scenario is (n - 1) = (37 - 1) = 36.

The t-critical value at a 99% confidence level with 36 degrees of freedom is approximately 2.711.

Plugging the values into the formula:

Confidence Interval = 82 ± (2.711) * (5.9 / sqrt(37))

Calculating the confidence interval:

Lower Bound = 82 - (2.711) * (5.9 / sqrt(37)) ≈ 78.20 (rounded to 2 decimal places)

Upper Bound = 82 + (2.711) * (5.9 / sqrt(37)) ≈ 85.80 (rounded to 2 decimal places)

Therefore, the lower bound of the confidence interval is approximately 78.20 cm, and the upper bound is approximately 85.80 cm.

For the third situation:

n = 1009

Confidence level is 90% (which corresponds to an alpha level of 0.10)

x = 0.9 (sample mean)

s = 0.04 (sample standard deviation)

The degrees of freedom for this scenario is (n - 1) = (1009 - 1) = 1008.

The t-critical value at a 90% confidence level with 1008 degrees of freedom is approximately 1.645.

Plugging the values into the formula:

Confidence Interval = 0.9 ± (1.645) * (0.04 / sqrt(1009))

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The point (0, -5) lies on the graph of the quadratic equation y = x² - 5. The shape of the graph is a parabola.

An equation is an expression containing numbers and variables linked together by mathematical operations such as addition, subtraction, division, multiplication and exponents.

The equation y = x² - 5 represents a quadratic equation. A quadratic equation have the shape of a parabola.

When x = 0;

y = 0² - 5

y = -5

The point (0, -5) lies on the graph of y = x² - 5

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Answer:

a) FKR and F'KR form supplementary angles

b) FK = F'K

   EF = E'F'

(They are reflected by mirror)

Answer:

x = 29

Step-by-step explanation:

Given:

m<PQS = 107°

m<RQS = 49°

m<PQR = (2x)°

Required:

Value of x

Solution:

m<RQS + m<PQR = m<PQS (angle addition postulate)

Plug in the values

49 + 2x = 107

Subtract 49 from each side

2x = 107 - 49

2x = 58

Divide both sides by 2

x = 58/2

x = 29

The measures are given as follows:

First we obtain the value of a, considering that the side lengths are proportional, hence:

a/6 = (7/2)/4

Applying cross multiplication, we have that:

4a = 6 x 7/2

4a = 21

a = 21/4.

Angles 5x - 19 and 3x - 1 are supplementary, hence the value of x is obtained as follows:

5x - 19 + 3x - 1 = 180

8x = 200

x = 25.

Angle R is congruent to 5x - 19, hence:

R = 5(25) - 19 = 106º.

Angle T is congruent to 3x - 1, hence:

T = 3(25) - 1 = 74º.

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Actually, when you solve a sytem of linear equations, it doesn't matter which equation you choose, the solutions will be the same.

the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.

using  completing the square method:

Starting with the left side of the equation:

∫\(e^(^-^x^2)\) dx

\(e^(^-^x^2) = (e^(^-x^2/2))^2\)

∫\((e^(^-^x^2/2))^2 dx\)

let  u = √(x²/2) =  x = √(2u²).

dx = √2u du.

∫ \((e^(^x^2/2))^2 dx\)

= ∫ \((e^(^-2u^2)\)) (√2u du)

The integral of \(e^(-2u^2)\)= √(π/2).

∫ \((e^(-x^2/2))^2\) dx

= ∫  (√2u du) \((e^(-2u^2))\\\)

= √(π/2) ∫ (√2u du)

We substitute back  u = √(x²/2), we obtain:

∫ \((e^(-x^2/2))^2\)dx

= √(π/2) (√(x²/2))²

= √(π/2) (x²/2)

= (√π/2) x²

A comparison  with the right side of the equation  shows that they are are equal.

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Answer:

I think the triangle is not a parallelogram because it is three sided. A parallelogram needs 4 sides.

Step-by-step explanation:

The graph of the inverse function is given by the image presented at the end of the answer, and the correct option is given by option 3.

The parent function for this problem is the cube function translated up two units, hence it is defined as follows:

y = x³ + 2.

To obtain the inverse function, first we must exchange the variables x and y on the definition of the function, as follows:

x = y³ + 2.

Then we must isolate the variable y, as follows:

\(y^3 = x + 2\)

\(y = \sqrt[3]{x + 2}\)

Which has the correct dashed graph given by option 3 on the image given.

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The inequalities in interval notation are given below

What is an inequality?

An inequality in maths is a relationship that makes a non-equal distinction between two values as well as other mathematical expressions. It is most frequently used to compare the sizes of two digits on a number line. There are multiple formulae used to denote various types of inequalities:
(i) The symbol a < b indicates that a is less than b.

(ii) a > b indicates that a is bigger than b.

In either scenario, a and b are not equivalent. These are characterized as tight inequalities because a is either strictly less than or strictly bigger than b. Equivalence is not permitted. In contrary to rigorous inequalities, there are two forms of non-strict inequality relationships.

The inequalities in interval notation are given below:

(a) (0, 11)

(b) (9, 4]

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It took 12 minutes for Inzamam (Weird name) to walk to school on Wednesday. If we know that if he runs then it is two times faster then walking and that when he runs he is 6 minutes quicker. Then just multiply 2x6=12.

Answer:

  2. 17 or more times

  3. C = 3 +5h; slope is cost per hour; y-intercept is flat fee; $28 for 5 hours

  4. C = 25 +50h; $425 for 8 hours; $525 for 10 hours

Step-by-step explanation:

In every case, the total cost is the sum of the flat fee and the product of the cost per unit and the number of units.

With the pass, the cost for n matinees is ...

  with pass = 40 +1.00×n

Without the pass, the cost for n matinees is ...

  without pass = 0 +3.50×n

We want to find n such that the cost with the pass is less:

  with pass < without pass

  40 +n < 3.5n

  40 < 2.5n

  n > 16

Seth must attend 17 or more matinees for the pass to be of benefit.

__

  C = 3 +5h . . . . . $3 flat fee and $5 per hour

  slope: cost per hour

  y-intercept: flat fee

  cost for 5 hours: 3 +5·5 = 28 . . . dollars

__

  C = 25 +50h . . . . . . $25 flat fee and $50 per hour

For the given amounts of hours, we use that value for h.

  C = 25 +50(8) = 425 . . . dollars for 8 hours

  C = 25 +50(10) = 525 . . . dollars for 10 hours

Answer:

Step-by-step explanation:

the answer is 0.01

The base of the exponential form  is 10 and the power is -2 therefore the answer is 0.01 if the power was 2 the answer would have been 100

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Answer:

63840

Step-by-step explanation:

divide 56000 by 5 the answer is 11200 multiply 11200 by. .14 the answer should be 1568 then multiply by 5 that answer should be 7840 then add 7840 by 56000

The horizontal shift is to the right.

The exact period is 8/7.

In a trigonometric function, written of the form

y = A csc (Bx - C)

the parameters are interpreted as follows

A is the amplitude

B is period / 2π

C is the horizontal shift

comparing with the equation y = 2 csc (7π/4x - 21π/2). we have that

horizontal shift = -21π/2 since it is positive it is to the right

The exact period is

Period = 2π / (7π/4)

= 8/7

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Answer:

there are 60 ounce

Step-by-step explanation:

did the question and got it right

lf 6 tablespoons are equivalent to 1 fluid Ounce, Then 5/3 fluid Ounces are in 10t tablespoons.

Two or more expressions with an Equal sign is called as Equation.

lf 6 tablespoons are equivalent to 1 fluid Ounce,

Then we need to find many fluid Ounces are in 10t tablespoons.

Consider x as fluid Ounces are in 10t tablespoons

Let us form a equation to solve this

6/1=10/x

Apply cross multiplication

6/10=1/x

x=10/6

x=5/3

Hence 5/3  fluid Ounces are in 10t tablespoons

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Answer:

2

Step-by-step explanation:

Follow the 68-95-99.7 rule

The answer is 2 standard deviations

The value of x that makes quadrilateral ABCD a rectangle if BE = 3x+1 and ED = 5x-3 is x = 2.

A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle. It is also known as an equiangular quadrilateral for this reason.

Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.

There are four vertices and four sides.

Every vertex has an angle of 90 degrees.

Equal and parallel opposed sides are bisected by a diagonal.

We know that the diagonals of a rectangle bisect each other.

Thus, for the quadrilateral to be a rectangle we have:

BE = ED

3x + 1 = 5x - 3

1 + 3 = 5x - 3x

4 = 2x

x = 2

Hence, the value of x that makes quadrilateral ABCD a rectangle if BE = 3x+1 and ED = 5x-3 is x = 2.

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Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.