a cyclist travels 14 hours in per hour. what is the cyclists speed in feet/ minute. 1 mile= 5280 feet

Answer:6858

Step-by-step explanation:

Answer:

a = 70 degrees

b = 20 degrees

c = 20 degrees

Step-by-step explanation:

First, we can find "c":

angleBCA = 90

angleBCA = angleBCD + c

90 = 70 + c

90 - 70 = c

20 = c

Knowing "c", we can find "a".

angleADC = 90

triangleADC = 180

triangleADC = angleADC + c + a

180 = 90 + 20 + a

180 = 110 + a

180 - 110 = a

70 = a

Knowing "a", we can find "b".

angle BCA = 90

triangleACB = 180

triangleACB = angleBCA + a + b

180 = 90 + 70 + b

180 = 160 + b

180 - 60 = b

20 = b

Ernesto will get $202.38 in US dollars owing to the remaining amount of €150.

We will use the unitary method to know the amount returned to Ernesto when he got home. It means finding the value of unit entity to know the larger or small amount.

As we see, €630 is equal to $850

So performing unit conversion, €1 will be = 850/630

Now, the value of €150 in dollars will be - (850/630)×150

Cancel the zero common in numerator and denominator and perform multiplication and division as per the numbers

The value of €150 in US dollars = $202.38

Hence, the value in US dollars will be $202.38.

Learn more about unit conversion-

https://brainly.com/question/13016491

#SPJ1

Set-builder notation is a way of describing a set using a rule or condition that its members must satisfy. In set-builder notation, a set is defined as the collection of all elements that meet a certain criterion.

(a) {2, 4, 8, 16, 32,...} can be rewritten in set-builder notation as: {2^n | n is a non-negative integer}

(b) {0,4, 16, 36,64, 100} can be rewritten in set-builder notation as: {n^2 | n is a non-negative even integer}

(c) {..., -6, -3,0,3,6,9,...} can be rewritten in set-builder notation as: {3n | n is an integer}

(d) {...,-8, -3, 2, 7, 12, 17,...} can be rewritten in set-builder notation as: {5n - 13 | n is a non-negative integer}

(e) {3, 6, 11, 18, 27,38,...} can be rewritten in set-builder notation as: {n^2 + 2 | n is a non-negative integer}

(f) {...,5, 1, , 1, 2, 4, ...} can be rewritten in set-builder notation as: {f_n | f_n is the nth Fibonacci number, with f_0 = 0 and f_1 = 1}

(g) {..., -3, -5, 5, 37, 5# 1,576,...} can be rewritten in set-builder notation as: {a_n | a_n = a_{n-1} + 2n - 1, with a_0 = -3}

For such more question on notation:

https://brainly.com/question/5756316

#SPJ4

Answer:

\(\$40000\)

Step-by-step explanation:

Let's start by finding Sandra's salary this year.

We are given that she saved $3,360 or 8% of her total salary this year.

Let's represent her total salary this year as "x" and set up an equation:

\(\$3360=8\%x\\\)

Note that any percentage is equivalent to that number over 100.

\($3360=\frac{8}{100}x\)

Multiply 100 to both sides:

\(336000=8x\)

Divide both sides by 8

\(x=42000\)

The question states "this year her salary was $2000 more than in the previous year".

This means that her salary in the previous year is equivalent to:

\(42000-2000=40000\)

Answer:

5) 203.35

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The average service time for McDonald's is 203.21 seconds with a standard deviation of 5.67 seconds.

This means that \(\mu = 203.21, \sigma = 5.67\)

Sample of 90

This means that \(n = 90, s = \frac{5.67}{\sqrt{90}} = 0.59767\)

There is a 51% chance that the average drive-thru service time is less than ________ seconds.

X when Z is in the 51st percentile, that is, has a p-value of 0.51, so X when Z = 0.025.

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(0.025 = \frac{X - 203.21}{0.59767}\)

\(X - 203.32 = 0.025*0.59767\)

\(X = 203.35\)

203.35 seconds.

Answer:

9,000

Step-by-step explanation:

If x < 5, we round down.

If x ≥ 5, we round up.

Since 8,503, 500 is ≥ 5, we round up to 9. So,

8,503 ≈ 9,000

Answer:

9,000

Step-by-step explanation:

You're done! I hope this helps!

Answer:

sept one

Step-by-step explanation:

The equation of the perpendicular line passing through (0, -1) is y = -9x - 1.

To find the equation of a line that is perpendicular to the given line y = (1/9)x + 2 and passes through the point (0, -1), we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other.

The given line has a slope of 1/9. To find the slope of the perpendicular line, we take the negative reciprocal of 1/9, which is -9.

Using the slope-intercept form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept, we can substitute the slope and the coordinates of the given point (0, -1) into the equation.

y = -9x + b

Since the line passes through the point (0, -1), we can substitute the x-coordinate as 0 and the y-coordinate as -1 into the equation:

-1 = -9(0) + b

-1 = b

Therefore, the y-intercept (b) of the perpendicular line is -1.

Putting it all together, the equation of the line that passes through (0, -1) and is perpendicular to y = (1/9)x + 2 is:

y = -9x - 1

for such more question on perpendicular

https://brainly.com/question/18991632

#SPJ11

The  last day for taking the cash discount is May 5  and discount is taken is: $12,398.6.

Since the invoice was dated April 12, the last day for taking the cash discount is May 5.

Cash discount

Using this formula

Amount paid =Invoice amount × (1-rate)

Let plug in the formula

Amount paid=$13,190 ×(1-6%)

Amount paid=$13,190×0.94

Amount paid=$12,398.6

Therefore the  last day for taking the cash discount is May 5 and the amount to be paid is: $12,398.6.

Learn more about cash discount here:https://brainly.com/question/14883253

#SPJ1

The range of g(x) is [8, ∞).Thus, the function g(x) = -2√x + 8 has the same range as f(x) = -2√(x - 3) + 8.

Let f (x) = -2√(x - 3) + 8. The function g(x) has the same range as f (x) if the range of f(x) is equal to the range of g(x). Let's determine the range of f(x).Range of f(x):The domain of f(x) is all non-negative real numbers because the square root of a negative number is not a real number. In other words, x - 3 ≥ 0 ⇒ x ≥ 3. This implies that f(x) is a decreasing function because as x increases, the value of f(x) decreases.

Furthermore, the minimum value that f(x) can take is 8, which occurs when x = 3. As x approaches infinity, the value of f(x) approaches negative infinity, but never quite reaches it. Therefore, the range of f(x) is [8, ∞).In order for g(x) to have the same range as f(x), its range must also be [8, ∞). Therefore, g(x) must also be a decreasing function that is bounded from below by 8.

A possible function that satisfies these conditions is g(x) = -2√x + 8. Let's check the range of g(x):Range of g(x):As with f(x), the domain of g(x) is all non-negative real numbers. g(x) is also a decreasing function because as x increases, the value of g(x) decreases. Furthermore, the minimum value that g(x) can take is 8, which occurs when x = 0. As x approaches infinity, the value of g(x) approaches negative infinity, but never quite reaches it

for more search question function

https://brainly.com/question/25638609

#SPJ8

Answer:

15 °C

Step-by-step explanation:

°C = (°F - 32) * (5/9)

Given that the initial temperature was 77 °F and it dropped by 10 °C, we can calculate the final temperature.

Initial temperature: 77 °F

Converting to Celsius:

°C = (77 - 32) * (5/9)

°C ≈ 25

The temperature dropped by 10 °C, so the final temperature is:

Final temperature = Initial temperature - Temperature drop

Final temperature ≈ 25 - 10 = 15 °C

Therefore, the temperature after the storm was approximately 15 °C.

Answer: 24

Step-by-step explanation: you have to skip count by all of them until you get to the same number for all of them.

Answer: The least common denominator (LCD), is 24

Answer:

all real numbers

Step-by-step explanation:

if you subtract x from both sides, you get x=x. This is true for basically any number

Answer:

Step-by-step explanation:

Use a simple Equation

Price = Number x Price

So Price = 536.

Since it was 67% off we multiple the price of the original by .67.

So

536 = .67x

Solve for x = 536/.67 = 800

The original Price is $800.

check by multiplying by the sale %.

Answer: The slope is 1/2

Step-by-step explanation:

Calculate the rise (change in y-component) divided by the run (change in x-component).

rise = 0 - (-5) = 5

run = 12 - 2 = 10

slope = 5/10 = 1/2

Answer:

10 my fault

Step-by-step explanation:

please trust

Answer:

\(y = -3\)

\(x = -2\)

Step-by-step explanation:

Given

\(-9x + 4y = 6\)

\(9x + 5y = -33\)

Required

Find x and y

To eliminate x, we simply add both equations

\(-9x = 9x + 4y + 5y= 6 - 33\)

\(9y= -27\)

Divide by 9

\(y = -27/9\)

\(y = -3\)

Substitute -3 for y in \(9x + 5y = -33\)

\(9x + 5 * -3 =-33\)

\(9x - 15 =-33\)

Add 15 to both sides

\(9x =-15 -33\)

\(9x =-18\)

Divide by 9

\(x = -18/9\)

\(x = -2\)

Answer:

\((4 \frac{2}{3} - \frac{11}{3} ) \div 2 \\ ( \frac{14}{3} - \frac{11}{3} ) \div 2 \\ \frac{13}{3} \div 2 \\ \frac{13}{3} \times \frac{1}{2} \\ \frac{13}{6} \\ 2 \frac{1}{6} \\ \)

Answer:

we can write

42/7 as 30/7

and

21/5 as 11/5

now

\( \frac{30}{7} \times \frac{11}{5} \\ = \frac{6}{7} \times 11 \\ = \frac{66}{7} \)

we can write 66/7 as 93/7

hence,

option D is correct.

hope this answer helps you dear....take care!

Answer:

y = 4

Step-by-step explanation:

Replace x in the first equation with 4.

y = 2(4)-4

y = 8-4

y = 4

If there are any more of these types of problems you need help on, you can just ask me, you don't have to post more questions =)

Therefore, the package with 40 hooks is the better buy in terms of cost efficiency.

To determine which package is the better buy, we need to compare the cost per hook for each package.

For the package of 25 hooks costing $9.95, we divide the total cost by the number of hooks:

Cost per hook = $9.95 / 25 = $0.398

Rounding to the nearest cent, the cost per hook is $0.40.

For the package of 40 hooks costing $13.99, we divide the total cost by the number of hooks:

Cost per hook = $13.99 / 40 = $0.3498

Rounding to the nearest cent, the cost per hook is $0.35.

Comparing the two costs per hook, we can see that the package with 40 hooks for $13.99 offers a better deal, as the cost per hook is lower at $0.35.

For such more question on package

https://brainly.com/question/12251427

#SPJ8

The binomial expansion is solved and the error in Dakota's statement is the incorrect substitution of 36g^2h^2 for the correct expression

Given data ,

Dakota made a mistake because the third term of the expansion of (2g + 3h) should have been 36g2h2. The binomial theorem asserts that the expansion of (2g + 3h) is as follows:

( x + y )ⁿ = ⁿCₐ ( x )ⁿ⁻ᵃ ( y )ᵃ

Here, x = 2g and y = 3h. Since term numbers begin at 0, since we are seeking for the third term, r = 2.

So , on simplifying the equation , we get

= nC2 * (2g)⁽ⁿ⁻²⁾ * (3h)²

= (n! / (2! * (n - 2)!)) * (2g)⁽ⁿ⁻²⁾ * (3h)²

= ((n * (n - 1)) / 2) * (2g)⁽ⁿ⁻²⁾ * (3h)²

Hence , the correct expression for the third term of the expansion of (2g + 3h) is ((n * (n - 1)) / 2) * (2g)^(n - 2) * (3h)², where n is the exponent in the binomial expansion.

To learn more about binomial expansion click :

https://brainly.com/question/3537167

#SPJ1

Answer:

(x-6)(x-6)

Step-by-step explanation:

\(x^{2} - 12x + 36\)

= (x-6)(x-6)

Answer:

-5/4 is the slope

Step-by-step explanation:

y=mx+b

m is your slope and b is the intercept.

Answer:

•A problem domain is the area of expertise or application that needs to be examined to solve a problem. A problem domain is simply looking at only the topics of an individual's interest, and excluding everything else.

Step-by-step explanation:

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.

The reflection of the points P(-1, 4), Q(8, -3) and R(2, -6) across the line y = x are P'(1, -4), Q'(-8, 3) and R'(-2, 6).

First, let us understand the reflection of a point:

The reflection of a point or set of points across the line y = x results in a point or set of points whose coordinates are the interchange of the x-value and the y-value of the original point or set of points.

We are given:

The vertices of a triangle are P(-1, 4), Q(8, -3) and R(2, -6).

We need to find the reflection of the points across the line y = x.

So,

P(-1, 4) = P'(1, -4)

Q(8, -3) = Q'(-8, 3)

R(2, -6) = R'(-2, 6)

Thus, the reflection of the points P(-1, 4), Q(8, -3) and R(2, -6) across the line y = x are P'(1, -4), Q'(-8, 3) and R'(-2, 6).

To learn more about reflection of a point visit:

https://brainly.com/question/15354154

#SPJ1

Answer:

Step-by-step explanation:

U={x|x∈N and x<10}

or U={1,2,3,4,5,6,7,8,9}

B={x|x∈N and x is even and x<10}

or

B={2,4,6,8}

C={x|x∈N and x<10}

or

C={1,2,3,4,5,6,7,8,9}

(B∩C)={2,4,6,8}

(B∩C)'={1,3,5,7,9}