Mathematics High School

You arrive in my class 45 seconds after leaving math which is 90 meters away

Answers

Answer 1
If you are looking for the average speed, it is 2m/1 sec.
Answer 2

You traveled the 90 meters in 45 seconds at a speed of 2 meters per second.

Speed = Distance / Time

Given:

Distance = 90 metersTime = 45 seconds

We can now calculate the speed:

Speed = 90 meters / 45 seconds

            = 2 meters/second

This means you traveled at a speed of 2 meters per second to get from your math class to the next class.

Complete Question:

You arrive in my class 45 seconds after leaving math which is 90 meters away. Find speed.

Related Questions

Which one f the following would appear in the credits column of a bank statement for a checking account?

A. Bank fees
B. An ATM withdrawal
C. An online bill payment
D. A direct deposit

Answers

The direct deposit would appear in the credit's column of a bank statement for a checking account option (D) is correct.

What is direct deposit?

A direct deposit by a payer into a payee's bank account is referred to as a direct deposit. Businesses most usually use direct deposits to pay salaries and wages, and they are typically made through electronic funds transfers or physical deposits into a payee's bank account.

From the definition, the direct deposit is the amount which is deposited by the individual bank accounts.

A direct deposit would appear in the credit's column of a bank statement for a checking account.

Thus, the direct deposit would appear in the credit's column of a bank statement for a checking account option (D) is correct.

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Answer: A direct deposit



Step-by-step explanation:

HELPS ASAP PLEASE!!!!

Find the product of -9 and -3.

A. 27
B. -27
C. 3
D. -3

Answers

It's 27 because two negatives cancels each other out.

Postive 27. Hope this helped

A 6 pound bag of grass seed covers 2,000 square feet. How many pounds would be needed to cover 25,000 square feet? Round the answer to the nearest pound.

Answers

6/2000 = x / 25,000.....6 lbs to 2000 sq ft = x lbs to 25,000 sq ft
cross multiply
(2000)(x) = (6)(25,000)
2000x = 150,000
x = 150,000/2000
x = 75 <== 75 lbs

Find the real roots of the equation x^4-5x^2-36=0

Answers

Treat x^4 as the square of p:  x^4 = p^2.

Then x^4 - 5x^2 - 36 = 0 becomes p^2 - 5p - 36 = 0.

This factors nicely, to (p-9)(p+4) = 0.  Then p = 9 and p = -4.

Equating 9 and x^2, we find that x=3 or x=-3.
Equating -4 and x^2, we see that there's no real solution.

Show that both x=3 and x=-3 are real roots of x^4 - 5x^2 - 36 = 0.

How many 3-digit numbers can you write using only the digits 1 and 2?

Answers

For the first digit, you have two possible choices: 1 or 2. For *each* of those choices, you can choose 1 or 2 for the second digit in the number, and for each of *those*, you can choose 1 or 2 for the third digit of the number.

That’s 2 * 2 * 2 or 8 possible 3-digit numbers you can make with the digits 1 and 2.

What is 4.14 trillion in scientific notation?

Answers

Okay. I think it has to be 4.14 * 10^12. Because 10^12 is equivalent to 1 trillion and you have the decimal 4.14, which mashed up with the powers of 10 exponents to give you your answer. 4.14 trillion in scientific notation is 4.14 * 10^12.

The given data can be written in scientific notation as 4.14 × 10¹².

How to write a number in scientific notation?

In order to write a number in scientific notation, express the number in terms of the product of a number between 0 to 10 and the power of 10.

For example, 32 can be written as 3.2 × 10¹.

Here, 3.2 is between 0 and 10 and the power of 10 is 1

The given data is 4.14 trillion.

Since, one trillion can be written as,

1 trillion = 1,000,000,000,000

The number of zeros is 12.

In the scientific notation 4.14 trillion can be written as below,

4.14 × 10¹²

Hence, the scientific notation of the given data is 4.14 × 10¹².

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The diameter of a circle is 18 centimeters. what is the radius? d=18 cm give the exact answer in simplest form.

Answers

The diameter of the circle is 18 cm.

The radius is one half the diameter.
Therefore the radius is  18/2 = 9 cm

Answer: 9 cm

Which of the following is the quadratic parent function

Answers

Answer:

A. F(x)=x^2

Step-by-step explanation:


Answer: Option A F(x)=[tex]x^{2}[/tex]

Explanation:

Quadratic function is the function which has degree two

Degree is the highest power of a polynomial

In option B we have |x| in which degree is one hence, discarded

In option C we have [tex]x^{3}[/tex] in which degree is three hence, discarded

In option D we have x which is a linear function being of degree one. Hence, discarded.

The Smith family rented a recreational vehicle for a seven-day vacation. The cost to rent the recreational vehicle was $560 plus $0.50 per mile. How many miles were driven if the total cost was $1350?

Answers

First you find out how much money is owed by the smith family for just the $0.50 per mile. You take the full owed amount and subtract the $560 to rent it which will give you with $790.00. Then you take 790 number and divide by .5 for $0.50. Your answer then would be 1,580. The smith family traveled 1,580 miles
Final answer:

The Smith family drove 1580 miles during their seven-day vacation in the rented recreational vehicle, calculated by subtracting the flat rental fee from the total cost, and then dividing by the cost per mile.

Explanation:

This question centers on simple algebra. To calculate the number of miles driven, you need to first understand that the total cost consists of a flat rental fee and the cost per mile driven. First, we take the total cost, $1350, and subtract the flat fee of $560 from it. This leaves us with $790.

We then divide that $790 by the price per mile, which is $0.50. The calculation would then be as follows: $790 ÷ $0.50 = 1580 miles. Therefore, the Smith family drove 1580 miles during their seven-day vacation in the recreational vehicle.

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Lannie order 12 copies of the same book for his book club members to build cost $19 each and the order has a $15 shipping charge what is the total cost of lannie's order

Answers


19 x 12 = 228

228 + 15 = $243

How long is the arc subtended by an angle of 9π/5 radians on a circle of radius 30 cm?
A) 9π
B) 27π
C) 54π
D) 108π

Answers

Answer:

54π

Step-by-step explanation:

54π is correct. (9π/5)(30)= 54π

The required length of an arc is 54π cm which is subtended by an angle.

What is an arc?

The arc is a portion of the circumference of a circle.

To find the arc length, we first need to find the circumference of the circle. The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle.

Plugging in the values given in the problem, we find that the circumference of the circle is C = 2π(30 cm) = 60π cm.

Then, to find the arc length, we need to find the fraction of the circumference subtended by the angle of 9π/5 radians.

The circumference of the circle is 2π radians, so the fraction of the circumference subtended by the angle of 9π/5 radians is (9π/5)/(2π) = 9/10.

Multiplying the fraction of the circumference subtended by the angle by the circumference of the circle, we find that the arc length is (9/10)(60π cm) = 54π cm.

Therefore, the correct answer is (C) 54π cm.

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Write an algebraic expression for the phrase. 8 times the quantity d minus 3 8d – 3 8(d – 3) d(8 – 3)

Answers

8(d-3)

The quantity is what is in the parentheses which is d-3. Then, you multiply that quantity by 8 because it it's being "timesed"? (multiplied) 8 times.
I think it's 10 maybe maybe not lol

PLEASE HELP ME!!! WORTH 10 POINTS!!!
Write the equation of the line, in point-slope form. Identify (x1, y1) as the point (1, 2). Use the box provided or the upload option to submit all of your calculations and final answer.

Answers

First, solve for slope.
Formula for slope: [tex] \frac{y2-y1}{x2-x1} [/tex]
Plug in values: [tex] \frac{-2-2}{-1-1} = - \frac{4}{2} = 2[/tex]
Slope: [tex]2[/tex]
Second, we must plug into point-slope form. 
Formula for point-slope: [tex]y-y1=m(x-x1)[/tex]
Plug in the values: [tex]y-2=2(x-1)[/tex]

And there you have your answer in point-slope form
Point-slope formula : y - y₁ = m(x - x₁) ; passes through (1, 2)

We first need to find the slope.

Slope formula : m = y₂-y₁ / x₂-x₁

The graph gives us 2 points : (1, 2) & (-1, -2)

Simply plug everything in! :)

m = -2 - 2 / -1 -1 

Simplify.

m = -4/-2

Simplify.

m = 2

So, our slope is 2.

Now that we have the slope as well as a plot, we can plug this into the point-slope formula. 

Remember : y - y₁ = m(x - x₁) is the point-slope formula.

m = 2 ; Passes through (1, 2)

Plug everything in :)

y - 2 = 2(x - 1)

~hope I helped!~

If a student scores a 17/35 on a test, what is their percentage on it?

Answers

17/35 = 0.485 rounds to 0.49 = 49%
17/35 (Divide)
= 0.485714285 (Answer)
=0.49 (Rounded)
49% (Converted answer)


In isosceles ∆ABC the segment BD (with D ∈ AC) is the median to the baseAC. Find BD, if the perimeter of ∆ABC is 50m, and the perimeter of ∆ABD is 40m.

Answers

See attachment.  It describes all of the conditions of the problem.

PLEASE HELP ME ASAP!!!


1. The average cost per ounce for glass cleaner is 7.7 cents with a standard deviation of 2.5 cents. What is the z-score of glass cleaner with a cost of 10.1 cents per ounce?

A. 0.96
B. 1.31
C. 1.94
D. 4.04
E. none of the above



2. A candy bar takes an average of 3.4 hours to move through an assembly line. If the standard deviation is 0.5 hours, what is the probability that the candy bar will take between 3 and 4 hours to move through the line?

A. .2119
B. .2295
C. .6731
D. .3270
E. .8849



3. The average noise level in a diner is 30 decibels with a standard deviation of decibels. 99% of the time, the noise level is below what value?

A. 16.04
B. 30.00
C. 36.00
D. 43.96
E. 48.00



4. The mean income per household in a certain state is $29,500 with a standard deviation of $5,750. The middle 95% of incomes is between what two values? The incomes are normally distributed.

A. $23, 750 and $35,250
B. $18,000 and $41,000
C. $29,500 and $41,000
D. $12,250 and $46,750
E. $12,325 and $81,550

Answers

Part 1:

The z-score of a value, a, given the mean, μ, and the standard deviation, σ, is given by

[tex]z= \frac{a-\mu}{\sigma} [/tex]

Thus, given that the average cost per ounce for glass cleaner is 7.7 cents with a standard deviation of 2.5 cents.

The z-score of glass cleaner with a cost of 10.1 cents per ounce is given by

[tex]z= \frac{10.1-7.7}{2.5} = \frac{2.4}{2.5} =\bold{0.96}[/tex]



Part 2:

Assuming the data is normally distribution, the probability that a normally distributed data is between two values a and b is given by

[tex]P(a\ \textless \ X\ \textless \ b)=P(X\ \textless \ b)-P(X\ \textless \ a) \\ \\ =P\left(z\ \textless \ \frac{b-\mu}{\sigma} \right)-P\left(z\ \textless \ \frac{a-\mu}{\sigma} \right)[/tex]

Thus, given that a candy bar takes an average of 3.4 hours to move through an assembly line and that the standard deviation is 0.5 hours.

The probability that the candy bar will take between 3 and 4 hours to move through the line is given by

[tex]P(3\ \textless \ X\ \textless \ 4)=P(X\ \textless \ 4)-P(X\ \textless \ 3) \\ \\ =P\left(z\ \textless \ \frac{4-3.4}{0.5} \right)-P\left(z\ \textless \ \frac{3-3.4}{0.5} \right)=P(z\ \textless \ 1.2)-P(z\ \textless \ -0.8) \\ \\ =0.88493-0.21186=\bold{0.6731}[/tex]



Part 3

Given that the average noise level in a diner is 30 decibels with a standard deviation of 4 decibels.

The value for which the noice level is below 99% of the time is the value for which the probability that the noice level is below that value is 0.99.

Assuming the data is normally distribution, the probability that a normally distributed data is less than a value, a, is given by

[tex]P(X\ \textless \ a)=P\left(z\ \textless \ \frac{a-\mu}{\sigma} \right)[/tex]

Thus, given that the average noise level in a diner is 30 decibels with a standard deviation of 4 decibels.

The value for which 99% of the time, the noise level is below is obtained as follows:

[tex]P(X\ \textless \ a)=0.99 \\ \\ \Rightarrow P\left(z\ \textless \ \frac{a-30}{4} \right)=P(z\ \textless \ 2.33) \\ \\ \Rightarrow\frac{a-30}{4}=2.33 \\ \\ \Rightarrow a=4(2.33)+30=\bold{39.32}[/tex]

Note: there is standard deviation value was omitted in the question post but I used 4 as my standard deviation. So you can substitute the appropriate standard deviation for you question.



Part 4:

From the empirical rule, it is known that for a normally distributed data that 95% of the data are within 2 standard deviations.

Thus, given that the mean income per household in a certain state is $29,500 with a standard deviation of $5,750.

The values between which 95% of the incomes lies is obtained as follows:

[tex]95\% \ of \ the \ data \ lies \ between \ \mu\pm2\sigma=\$29,500\pm2(\$5,750) \\ \\ =\$29,500-\$11,500 \ and \ \$29,500+\$11,500=\bold{\$18,000 \ and \ \$41,000}[/tex]

Final answer:

The student's questions involve calculating z-scores and applying knowledge of normal distributions to determine probabilities and percentile ranges within a set of data. Correct answers include finding the z-score for glass cleaner costs, determining the probability of assembly line time for a candy bar, identifying the noise level not exceeded 99% of the time in a diner, and calculating the income range for the middle 95% in a state.

Explanation:

To solve these problems related to standard normal distribution and probabilities, we'll follow a step-by-step process. For each question, you'll either need to calculate a z-score or apply knowledge of normal distributions.

The z-score for a glass cleaner costing 10.1 cents per ounce when the mean cost is 7.7 cents and the standard deviation is 2.5 cents is calculated as: z = (10.1 - 7.7) / 2.5 = 0.96. The correct answer is A.The probability of a candy bar taking between 3 and 4 hours through the assembly line involves finding the area under the normal curve between these two z-scores: z for 3 hours and z for 4 hours. Use z-tables or calculators to find P(3 < X < 4) = P(Z < (4 - 3.4) / 0.5) - P(Z < (3 - 3.4) / 0.5) which gives us C. 0.6731.To find the noise level that is not exceeded 99% of the time, use the z-score that corresponds to 99% in the standard normal distribution and multiply by the standard deviation and add to the mean. This gives us 43.96 decibels, with D being the correct answer.The middle 95% of normally distributed incomes is found using z-scores that correspond to the 2.5th percentile and 97.5th percentile because 95% is in between. The correct answer is A. $18,000 and $41,000.

Which function below is the inverse of f(x) = the quantity of two x plus three, over five.?f−1(x) = the quantity of five x plus three, over twof−1(x) = the quantity of five x minus three, over twof−1(x) = five over the quantity of two x plus threef−1(x) = five over the quantity of three minus two x?

Answers

Original function: f(x)=(2x+3)/5
[change f(x) to y]: y=(2x+3)/5
[swap x and y]: x=(2y+3)/5
[solve again for y]: 5x=2y+3
y=(5x-3)/2
f-1(x) = (5x-3)/2..."The quantity five x minus three, over two

Answer:

[tex]f^{-1}(x)=\dfrac{5x-3}{2}[/tex]

f⁻¹(x) = the quantity of five x minus three, over two

C is correct

Step-by-step explanation:

Given: [tex]f(x)=\dfrac{2x+3}{5}[/tex]

We need to find inverse of function f(x)

Step 1:  Set f(x)=y

[tex]y=\dfrac{2x+3}{5}[/tex]

Step 2: Switch x and y

[tex]x=\dfrac{2y+3}{5}[/tex]

Step 3: Solve for y (isolate y)

[tex]5x=2y+3[/tex]

[tex]2y=5x-3[/tex]

[tex]y=\dfrac{5x-3}{2}[/tex]

Therefore, [tex]f^{-1}(x)=\dfrac{5x-3}{2}[/tex]

Now we write as sentence form,

Inverse of f(x) is 5 times of x minus 3 over 2.

Hence, f⁻¹(x) = the quantity of five x minus three, over two

Suppose you're given the formula R = s + 2t. If you know that s is three times greater than t, how could you rewrite the formula?
A. R=3 (s+t)
B. R=5s
C. R=5t
D.R=3(s+2r)

Answers


r=s+2t
s=3t
so R = 3T+2T=5T



Answer:the answer is C

Step-by-step explanation:

I really need help doing this spelling plz answer really Quick

Answers

11.= potatoes
12. = reptiles
13. = rodeos
14. = countries
15. = taxes
16. = zeroes
17. = difficulties
18. = lashes
19. = abilities
20. = losses

A. Matching Definitions:

1 small whirls - eddies

2. snake teeth - fangs

3. rattlesnakes - rattles

4. defeats; failures - losses

5. freedoms - liberties

6. skills; talents - abilities

7. bunches or groups - batches

8. eyelid hairs - lashes

9. nations - countries

10. accepted truths - beliefs

How to perform the completing sentences

11. The cook put potatoes and carrots in the stew.

12. Are crocodiles and alligators reptiles?

13. Many rodeos have riding and roping events.

14. The travelers were happy in their new surroundings.

15. Our taxes will be used to build new schools.

16. The numeral 100 has two zeroes.

17. He searched the paper for job opportunities.

18. You can use an ax to put notches in a log.

19. The clever criminal had many different identities.

20. Pioneers faced many difficulties in the wilderness.

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how do you solve this 2 step equation: 9+9n=9

Answers

Move 9 over to the other side so your equation looks like this:
9n = 9 - 9
Then simplify
9n = 0
n = 0
Step 1: Move all terms not containing n to the right side of the equation.
Since 9 does not contain the variable to solve for, move it to the right side of the equation by subtracting 9 from both sides.

9n = −9+9
9n=-9+9
Add −9 and 9 to get 0.
9n=0

Step 2: Divide each term by 9 and simplify.
Divide each term in 9n = 0 by 9
9n=0 by 9.
9n/9=0/9

Step 3: Reduce the expression by canceling the common factors.
n=0/9
Divide 0 by 9 to get 0.
n=0

The equation of line p is y = 52x + 72. line q is parallel to line p. the slope of line q is?

Answers

line q would have the same slope as line p, in order to be parallel

what are the zeros of f(x)=x^2+7x+5

Answers

Put it in a calculator

Megan is starting a business selling cookies. She researched other businesses to determine the price that people are willing to pay for a dozen cookies her results can be represented by the equation n=-2p+16 where P is the price per dozen cookies and N is the number of dozens sold where does the graph of the equation cross the x-axis?

Answers

The graph crosses the x-axis at y = 0.

n = -2p + 16

0 = -2p + 16

2p = 16

p = 8

(8, 0)

Option C.

What is 12.1167 rounded to the nearest hundredth?

Answers

12.12                              

The typical flight of stairs has 12 steps. Billy is on a new fitness regimen that requires him to climb at least 300 steps each day. His fitness tracker says he has already climbed 175 steps.
Let n represent the number of flights of stairs Billy has yet to climb.
Create the inequality that symbolizes this situation.
Then answer this.
If Billy climbs 10 more flights of stairs, will he meet his required 300 steps?


Answers

300(at least or < + =)12n+175
and No because he would have only climbed 295 steps.
Your minimum of steps is 300, and you have already have climbed 175 steps.

You would base your equation as 300 ≤ n + 175.

But, you need to fix the equation on one unit. Let's go with the stairs route.

If he goes up 10 more flights, you can multiply the amount of steps per flight (12) by the amount of flights (10).

10 × 12 = 120

So, you need to figure out if 300 ≤ 120 + 170 is a true statement. Solving it would be adding 120 to 170.

120 + 170 = 290

Well, 300 is not ≤ 290, so the answer would be no, he wouldn't reach his goal.


A shop advertised a 27% off sale. If a coat originally sold for 253 , find the decrease in price and the sale price

Answers

253 * 0.27= 68.31 (discounted price)

253-68.31 OR 253*0.73= 184.69 (sale price)

If a bag contains 16 red,6 yellow, 24 blue, and 8 white ballons, what is the part-to-whole ratio of yellow ballons to all ballons

Answers

6/48
Or even just 8 when you divide it

How many people lost their jobs when minimum wage increased from $12 to $18?

Answers

According to your graph, 15 people lost their jobs. y and x axis

Answer:      

15 people lost their jobs when minimum wage increased from $12 to $18

Step-by-step explanation:

When the minimum wage is $12

Then by looking at the given graph :

Number of labors supplied = 33

Number of labors in demand = 33

So, it is an equilibrium wage for the system.

Now, when the minimum wage increased from $12 to $18

From the given graph :

Number of labors supplied = 45

Number of labors in demand = 18

⇒ Number of labors working when wage is $12 = 33

And when the wage is $18, no. of labors working or are in demand = 18

⇒ Number of workers who lost their job = 33 - 18 = 15

Hence, 15 people lost their jobs when minimum wage increased from $12 to $18

The perimeter of triangle ABC is 54. The triangle has side lengths AB=3x, BC=4x, and AC= 5x. Find the length of each side.

Answers

54 = 5x+4x+3x

54= 12x

x= 54/12

x=4.5

AB= 3(4.5)
= 13.5

BC= 4(4.5)
= 18

AC= 5(4.5)
= 22.5

Hope I helped :)

A supplier offers a discount on a product bought in bulk. If you buy 240 parts, you get a $5 discount on each part, which reduces the cost to the same as buying 200 parts at full price. How much is each part?

Answers

Let $x =  the full price for a part.

200 parts at full price costs $x * 200 = 200x dollars

240 parts will have $5 discount per part. The cost is
240(x - 5) = 240x - 1200 dollars

The two costs are the same, therefore
240x - 1200 = 200x
40x = 1200
x = $30

Answer: $30
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