If bus travels 104 km in 13/4 hours how far does it go in 1 hour

Answer:

Mei is correct because -9 is to the left of -3 on the number line.

Step-by-step explanation:

This is because -9 is LESS than -3, when you add or subtract using negative numbers, such as 7-9, you get -2. However when you subtract 7-13, you get -6. Because you subtracted a greater number from 7, your answer is -6 is LESS than -2. This is the same with inequalities, greater negative numbers will always be smaller and smaller negative numbers will always be greater.

Hope this helps!

Answer:

9 – (–7)x – 3y

Step-by-step explanation:

because - * - = +

so 9 – (–7)x – 3y = 9+7x -3y

Answer:

The Answer is x^2/2

Step-by-step explanation:

The ^ is the power of _

In this case ^ is the power of 2.

This is the best approximation to \(z\) by the given vectors:

                  ẑ = \(\left[\begin{array}{ccc}33/14\\0\\-11/14\\-11/7\end{array}\right]\)

The best approximation theory focuses on how complex functions can be effectively connected to simpler ones and quantifies the faults introduced as a result. It's important to keep in mind that the solution that is offered as the best and simplest will depend on the problem that is being addressed.

Here, the vectors \(v_{1}\) and \(v_{2}\) are covered by the vector \(z\):

                   \(z = \left[\begin{array}{cccc}3\\3\\0\\-1\end{array}\right]\)     \(v_{1} = \left[\begin{array}{cccc}3\\0\\-1\\-2\end{array}\right]\)     \(v_{2} = \left[\begin{array}{cccc}3\\-2\\3\\3\end{array}\right]\)

Using the following formula, we will determine the unit vector ẑ:

                   ẑ = \((\frac{z.v_{1} }{v_{1}.v_{1}} )v_{1}+(\frac{z.v_{2} }{v_{2}.v_{2}} )v_{2}\)

                   \(c_{1} =\frac{z. v_{1} }{ v_{1} . v_{1} }\)

                   \(c_{1} =\frac{z. v_{2} }{ v_{2} . v_{2} }\)

The remaining combinations can be found as straightforward dot products:

\(v_{1} .v_{2}\) = (3)(3) + (0)(-2) + (-1)(3) + (-2)(3) = 9 + 0 - 3 - 6 = 0

\(z.v_{1}\)  = (3)(3) + (3)(0) + (0)(-1) + (-1)(-2) = 9 +0 + 0 + 2 = 11

\(z.v_{2}\)  = (3)(3) + (3)(-2) + (0)(3) + (-1)(3) = 9 - 6 + 0 - 3 = 0

\(v_{1} .v_{1}\) = (3)(3) + (0)(0) + (-1)(-1) + (-2)(-2) = 9 + 0 + 1 + 4 = 14

\(v_{2\\} .v_{2}\) = (3)(3) + (-2)(-2) + (3)(3) + (3)(3) = 9 + 4 + 9 + 9 = 31

Now, Inputting these values in \(c_{1}\) and \(c_{2}\):

                  \(c_{1} = \frac{v_{1}.z}{v_{1}.v_{1}}\) = 11/14

                   \(c_{1}\) = 11/14

                  \(c_{2} = \frac{z. v_{2} }{ v_{2} . v_{2} }\) = 0/31

                   \(c_{2}\) = 0

Hence,

                   ẑ = \((\frac{z.v_{1} }{v_{1}.v_{1}} )v_{1}+(\frac{z.v_{2} }{v_{2}.v_{2}} )v_{2}\)  =  \(\frac{11}{14} v_{1}+0v_{2}\)

                   ẑ = \(\frac{11}{14} \left[\begin{array}{ccc}3\\0\\-1\\-2\end{array}\right]\)

This is the best approximation to \(z\) by the given vectors:

                  ẑ = \(\left[\begin{array}{ccc}33/14\\0\\-11/14\\-11/7\end{array}\right]\)

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The solution to the inequality √3r + 5 > 1 is r > 16/3.

To solve the inequality √3r + 5 > 1, we can follow these steps:

Subtract 5 from both sides of the inequality:

√3r + 5 - 5 > 1 - 5

√3r > -4

Square both sides of the inequality to eliminate the square root:

(√3r)^2 > (-4)^2

3r > 16

Divide both sides of the inequality by 3 to solve for r:

(3r)/3 > 16/3

r > 16/3

Therefore, the solution to the inequality √3r + 5 > 1 is r > 16/3.

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Answer:

Step-by-step explanation:

To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:

Find the slope of the provided line.

The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.

Substituting the values, the equation of the perpendicular line becomes:

y - 5 = (-1/m)(x - 2)

Simplifying the equation further, we can rewrite it in point-slope form:

y - 5 = (-1/m)x + (2/m)

Answer: going to take a wild guess and say figure 2 or figure 4 is correct but I'm going with figure 2

Step-by-step explanation:

Answer: Figure 4

Step-by-step explanation:

I got it right on Edmentum

Step-by-step explanation:

(a) The lower limit of the 90% confidence interval can be calculated using the formula:

lower limit = sample mean - margin of error

Plugging in the given values, we have:

lower limit = 7.43 - 1.32

lower limit = 6.11 (rounded to 2 decimal places)

Therefore, the lower limit of the 90% confidence interval is approximately 6.11 hours per night.

(b) If 500 random samples like this were selected, and a 90% confidence interval was constructed using each sample, the expected number of intervals that would contain the population mean can be approximated using the margin of error as a guide.

Since the margin of error is 1.32 hours, we can expect roughly 90% of the confidence intervals to contain the true population mean. Therefore, out of 500 samples, we would expect approximately:

500 * 0.9 = 450

So, approximately 450 of these confidence intervals would contain the population mean.

\(\sqrt{-2}\)

\(=\sqrt{-1}\sqrt{2}\)

\(=\sqrt{2}i\)

\(\sqrt{-3}\)

\(=\sqrt{-1}\sqrt{3}\)

\(=\sqrt{3}i\)

it is 9005.04 left over so... 9000$ were spent

Answer:

$9,000 was spent. So you technically have $2.67 left

Step-by-step explanation:

Hope this helps! But; you didn't waste any money; you gave them to the Church and to a Charity.

But; that's NOT the question!

~~~~~~~~~ZoomZoom44~~~~~~~~~

Answer:

326

Step-by-step explanation:

The value of the given expression is 326.

Given:

The given expression 2 hundreds + 12 tens + 6 ones.

To find:

The value of the given expression.

Explanation:

The numeric form of given expression is:

2 hundreds + 12 tens + 6 ones

2 hundreds + 12 tens + 6 ones

2 hundreds + 12 tens + 6 ones

Therefore, the value of the given expression is 326.

Answer:

2

Step-by-step explanation:

Answer:

Yes, it is possible

Step-by-step explanation:

In a triangle, the smallest possible length in whole numbers for the third side is 16.

The triangle is a three-sided polygon because of its three corners. A point connects the ends of the three sides of a triangle, forming the corners. The sum of the three angles in a triangle is 180 degrees.

A triangle has three sides, three vertices, and three corners. The sum of the three interior angles of a triangle is 180 degrees. In a triangle, the length of the third side is longer than the length of the two longest sides taken together.

Given the following information, let the first side of the triangle be a; let the second side of the triangle be b; and let the third side of the triangle be c.

First side of triangle = 20

Second side of triangle = 5

To work out the littlest conceivable entire number length for the third side of the triangle:

In Science, the amount of any different sides of a triangle should be more prominent than the third side of the triangle.

a + b > c

 20 + 5 > c

    25 > c

b + c > a

5 + c > 20

  c > 15

a + c > b

20 + c > 5

   c > - 15

thus, 15 < c > 25

In conclusion, the smallest possible whole-number length for the third side is 16.

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Answer:

Value of x is 15/2

Decimal form is 7.5

Step 1: Isolate the Sin Operator

\(8 sin(\frac{\pi }{6} x)=2\\sin(\frac{\pi }{6} x)=0.25\\\\\)

Step 2: Use Inverse Sin(arcsin) to isolate the term with the x variable

Note that since trig functions have 2 general solutions, this will give us one of our general solutions.

\(x=\frac{6 arcsin(0.25)}{\pi } =0.48\)

x₁= 0.48

Solving for x₂

Use the period identity for Sin Functions

\(sin(x)=sin(\pi -x)\)

X in this case is arcsin(0.25)

\(\frac{\pi }{6} x=\pi -arcsin(0.25) = 5.52\)

So our two general solutions are 0.48 and 5.52

Step 3: Period

Trig Functions have periodic behavior and this function period is

\(\frac{2\pi }{1} (\frac{6}{\pi } )= 12\)

So our general solutions are

0.48±12k, where k is an integer

5.52±12k, where k is an integer

Let k=1, and we get our next set of solutions:

12.48 and 17.52

So our answer is 0.48,5.52,12.48,17.52

Answer:

Step-by-step explanation:

Find the coordinates:

Correct choice is A

Step-by-step explanation:

There is 7 blocks that measure is 12.0-12.2

11 blocks that measure 12.2 to 12.4

18 blocks that measure 12.4 to 12.6

10 blocks that measure 12.6-12.8

4 blocks that measure 12.8 to 13.0

We can't find a mean by with Intervals so let find the midpoint of each interval,

12.1, 12.3, 12.5, 12.7, 12.9.

Add up the products and divide them by 50

\(\frac{623.6}{50} = 12.472\)

Standard Deviation is

0.23( it is alot of steps so I use a calculator to save time).

The interqualtie range is 0.4

1 whole 2/5 converted to an improper fraction is 7/5.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given we have to convert \(1\frac{2}{5}\) them into mixed fractions we have to multiply the denominator with the whole part and add the numerator then write the denominator as it is which is,

= [(5×1) + 2]/5.

= 7/5.

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Answer: Let the width be x & length be 3x-10

perimeter = 2(l+w)

300=2(3x-10+x)

300=2(4x-10)

300=8x-20

320=8x

width = x = 40

length = 3x-10 = 110

Step-by-step explanation:

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer:

\(200oz\)

Step-by-step explanation:

The question says that there are \(50\) portions that are \(4oz\) each.

Write an equation

\((50)4oz\)

Simplify

\(200oz\)

The value οf P(x > 104) is 0.1587 οr apprοximately 15.87%.

Prοbability is the study οf the chances οf οccurrence οf a result, which are οbtained by the ratiο between favοrable cases and pοssible cases.

Tο find the prοbability οf P(x > 104) fοr a nοrmal distributiοn with mean οf 98 and standard deviatiοn οf 6, we need tο standardize the value οf 104 using the fοrmula:

z = (x - μ) / σ

where z is the standard scοre, x is the value we want tο find the prοbability fοr, μ is the mean οf the distributiοn and σ is the standard deviatiοn.

Plugging in the values, we get:

z = (104 - 98) / 6 = 1

Nοw we need tο find the area tο the right οf this value οn the standard nοrmal distributiοn table οr calculatοr.

Using a standard nοrmal distributiοn table οr calculatοr, we find that the area tο the right οf z = 1 is 0.1587.

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Answer:

2 x 32 = 64 watts x 5 hours per day estimate usage = 320 watts. Multiplied by 365 days in a year = 116,800 watts, divided by 1000 (1000 watts is 1 kilowatt hour) = 116.80 kWh.

Step-by-step explanation:

Answer:

The formula for calculating the future value of an investment with interest compounded daily is:

FV = PV (1 + r/n)^(nt)

where:

FV = future value

PV = present value (initial investment)

r = annual interest rate (expressed as a decimal)

n = number of times the interest is compounded per year

t = number of years

In this case, the annual interest rate is 4.5% (0.045), and the interest is compounded daily, so n = 365.

Substituting the given values into the formula, we get:

FV = 1700 (1 + 0.045/365)^(365*4)

Calculating this out we get:

FV = 1700 * (1+0.00012328767)^(1460)

FV = 1700 * (1.00012328767)^(1460)

FV = 1700 * 1.607538

FV = 2746.44

So the value of Simon's investment after 4 years is $2,746.44

It's worth noting that the interest rate is compounded daily, so the interest is being added to the account on a daily basis, that's why the final amount is higher than if it was compounded annually.

Step-by-step explanation:

Answer:

the answer is 23

Step-by-step explanation:

Answer:

x

=

ln

(

3

)

7

ln

(

3

)

+

ln

(

7

)

Step-by-step explanation:

Answer:

x

= ln ( 3 ) 7 ln ( 3 )  + ln ( 7  )

Step-by-step explanation:

Adam's balance at the end of June is $627.27

The adjusting balance method is used to determine the interest that would be paid by a credit card owner. The interest that would be paid is determined at the end of a period after all transactions have been adjusted for.

For example, if I have $100 in my credit card. If I buy a shoe worth $50 and deposit $20. My balance at the end of the month would be ($100 + $50 - $20) = $130.

Adam's balance can be determined by adding the amount he spent on purchases to the beginning balance and subtracting the payments he made.

$626.45 + $37.41 + $44.50 - $65.5 +$24.89 - $104.77 +$23.60 + $15 + $51.85 = $605.23

The balance at the end of the month would be the sum of the interest and the amount in his balance

Interest earned = balance x interest rate

Interest rate = 14.63% / 4 = 3.66%

Interest earned = $605.23 x 0.0366 = $22.14

Balance = $22.14 + $605.23 = $627.37

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Answer:

C

Step-by-step explanation:

627.27. Just had it on my test