A car is leaving New York. After 30 minutes, the car is 25 miles from New York, and after 3 hours the car is 200 miles from New York. What is the car's average speed (miles per hour) between the 30 minute and 3 hour time frame

Answers

Answer 1

Answer:

57.1428571429 miles per hour Round off the answer to what your teacher asked.

Step-by-step explanation:

Since we want final answer in miles per hour, lets change the 30 mins to 0.5 hours

Phase 1 =25miles per 0.5 hours

Phase 2 = (200miles-25miles) per 3 hours

Speed = distance/time

Average speed = total distance/ time

Total distance is 200miles because both phases say from new york that means it travels 25 miles away from new york then 3 hours later it is 200 miles away from new york

total time =3 hours+0.5 hours = 3.5 hours

Average speed = 200/3.5

Average speed = 57.1428571429 miles per hour

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Answer 2

We want to get the average speed between the 30 minute and 3-hour time frame.

The average speed in that time frame is 70 miles per hour.

We will define average speed as the quotient between the distance travelled and the time it takes to travel that distance.

We know that at 30 minutes, the car is 25 miles away from NY

At 3 hours, the car is 200 miles away from NY.

So the distance travelled in that time frame is:

200 miles - 25 miles = 175 miles.

And the time between 30 minutes and 3 hours is just:

3 h - 0.5h = 2.5 h

So the average speed is:

S = (175 mi)/(2.5 h) = 70 mi/h

The average speed is 70 miles per hour.

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Related Questions

Jamaal knows that it is certain that he will win the election because he is the only person who is running for class treasurer. Which value represents the probability that he will win the election?

Answers

Answer:

The probability is 1

Step-by-step explanation:

P ( Jamaal winning) = Jamaal / number of people running

                                 = 1/1

                                  = 1

Answer:

1

Step-by-step explanation: :-)

Rearrange the following steps in the correct order to locate the last occurrence of the smallest element in a finite list of integers, where the integers in the list are not necessarily distinct.

a. return location
b. min ≔a1 and location ≔1
c. min ≔ai and location≔i
d. procedure last smallest(a1,a2,...,an: integers)
e. If min >= ai then

Answers

Answer:

The rearranged steps is as follows:

d. procedure last smallest(a1,a2,...,an: integers)

b. min ≔a1 and location ≔1

e. If min >= ai then

c. min ≔ai and location≔i

a. return location

Step-by-step explanation:

The proper steps to perform the task in the question above is dbeca

Here, the procedure (or function) was defined along with necessary parameters

d. procedure last smallest(a1,a2,...,an: integers)

The smallest number is initialized to the first number on the list and its location is initialized to 1

b. min ≔a1 and location ≔1

The next line is an if conditional statement that checks if the current smallest number is greater than a particular number

e. If min >= ai then

If the above condition is true, the smallest value is assigned to variable min; it's location is also assigned to variable location

c. min ≔ai and location≔i

The last step returns the location of the smallest number

a. return location

Pleasssseeeeee helllllllpppppp

Answers

Answer:

Question 2:

A) A and C

B) D and F


Which expression is equivalent to
squrt 64a^6

Answers

Answer:

[tex]8a^3[/tex]

Step-by-step explanation:

[tex]\sqrt{64a^6}[/tex]

[tex]\sqrt{64} \times \sqrt{a^6}[/tex]

[tex]8 \times \sqrt{a^6}[/tex]

[tex]8 \times a^{6 \times \frac{1}{2} }[/tex]

[tex]8 \times a^{\frac{6}{2} }[/tex]

[tex]8 \times a^3[/tex]

Answer:

[tex]8a^3[/tex]

Step-by-step explanation:

= [tex]\sqrt{64a^6}[/tex]

= [tex]\sqrt{8*8*(a^3)^2}[/tex]

= [tex]8a^3[/tex]

Any help would be great

Answers

Hey there! :)

Answer:

[tex]-25m^{6}n^{9}[/tex]

Step-by-step explanation:

The product rule means that when multiplying variables with exponents, the exponents must be added together. Therefore:

[tex](-5m^{5}n^{6})(5mn^{3}) =[/tex]

[tex]-25m^{5+1}n^{6+3} =[/tex]

Simplify:

[tex]-25m^{6}n^{9}[/tex]

This is your answer!

Tasha wants to take money out of the ATM for a taxi fare. She wants to do a quick estimate to see if taking $120 out of her bank account will overdraw it. She knows she had $325 in the account this morning when she checked her balance. Today she bought lunch for $19, a dress for $76, a pair of shoes for $53, and a necklace for $23. She also saw a movie with a friend for $12. Rounding each of her expenses to the nearest tens place, estimate how much money Tasha has left in her account before she goes to the ATM. Do not include the $ in your answer.

Answers

Answer:145

Step-by-step explanation: $19=20 76=80 53=50 23=20 12=10 total = 180 325-180 =145

26
Ping lives at the corner of 3rd Street and 6th Avenue. Ari
lives at the corner of 21st Street and 18th Avenue. There is
a gym į the distance from Ping's home to Ari's home.
24
22
20
n
Ari (21.18)
7
x =
18
(x2 – x) + x3
mi+n
16
Avenue
14
-- ( , Jive - y) +
12
10
Where is the gym?
00
6
Ping (36)
4
2
9th Street and 10th Avenue
12th Street and 12th Avenue
0 14th Street and 12th Avenue
15th Street and 14th Avenue
2
x
4 6 8 10 12 14 16 18 20 22 24 26
Street

Answers

Corrected Question

Ping lives at the corner of 3rd Street and 6th Avenue. Ari lives at the corner of 21st Street and 18th Avenue. There is a gym 2/3 the distance from Ping's home to Ari's home.  Where is the gym?

9th Street and 10th Avenue 12th Street and 12th Avenue 14th Street and 12th Avenue 15th Street and 14th Avenue

Answer:

(D)15th Street and 14th Avenue

Step-by-step explanation:

Ping's Location: (3rd Street, 6th Avenue)

Ari's Location: (21st Street, 18th Avenue)

The gym is at point P which is [tex]\dfrac{2}{3}[/tex] the distance from Ping's home to Ari's home.

That is, Point P divides the line segment in the ratio 2:1.

We use the section formula:

[tex](x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)[/tex]

m:n=2:1, [tex](x_1,y_1)=(3,6), (x_2,y_2)=(21,18)[/tex]

[tex]=\left(\dfrac{2*21+1*2}{2+1}, \dfrac{2*18+1*6}{2+1}\right)\\=\left(\dfrac{45}{3}, \dfrac{42}{3}\right)\\=(15,14)[/tex]

The gym is located at 15th Street and 14th Avenue.

Help me please thank u

Answers

Answer:

4+3n

Step-by-step explanation:

We get the formula 4+3n because the pattern is +3 each term starting with the first term as 7. Since the first term is 7, we get 4+3n.

Solve 2cos3x=0.9.

Pls help me with this trigonometric equations with multiple angles.

Answers

Answer:

[tex]x=\frac{cos^{-1}(0.45)+2n\pi}{3} ,x=\frac{2\pi- cos^{-1}(0.45)+2n\pi}{3}[/tex]

Step-by-step explanation:

Given: [tex]2 cos(3x)=0.9[/tex]

To find: solutions of the given equation

Solution:

Triangle is a polygon that has three sides, three angles and three vertices.

Trigonometry explains relationship between the sides and the angles of the triangle.

Use the fact: [tex]cos x=a[/tex]⇒[tex]x=cos^{-1}(a)+2n\pi,x=2\pi-cos^{-1}(a)+2n\pi[/tex]

[tex]2 cos(3x)=0.9[/tex]

Divide both sides by 2

[tex]cos(3x)=\frac{0.9}{2}=0.45[/tex]

[tex]3x=cos^{-1}(0.45)+2n\pi,3x=2\pi- cos^{-1}(0.45)+2n\pi[/tex]

So,

[tex]x=\frac{cos^{-1}(0.45)+2n\pi}{3} ,x=\frac{2\pi- cos^{-1}(0.45)+2n\pi}{3}[/tex]

What is the product ? (7x^2 )(2x^3 +5)(x^2-4x-9)

Answers

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Edge 2021

Which means "a number n increased by 6.2"?

Answers

Answer:

n + 6.2

Step-by-step explanation:

Increased here means addition, addition of 6.2 with the number n.

1/5 as a percent rounded to the nearest hundredth

Answers

Answer:

1/5 as a percent is  20%

Step-by-step explanation:

Answer: 20%

Step-by-step explanation: Let's turn it into a decimal by dividing!

1 ÷ 5 = 0.2

0.2 x 100 = 20 = 20%

I hope this helps!

Jimmie invested $57,500 at 9.38% compounded continuously. What will Jimmie's account balance be in 42 years?

Answers

Answer:

$6,259,057.84

Step-by-step explanation:

hello,

compounding continuously means that we have to multiply by

[tex]e^{0.0938*t}[/tex]

t is the number of years

so the account balance in 42 years is

[tex]57,500e^{0.0938*42}=6,259,057.84....\\[/tex]

so it gives

$6,259,057.84

hope this helps

There are​ 15,958,866 adults in a region. If a polling organization randomly selects 1235 adults without​ replacement, are the selections independent or​ dependent? If the selections are​ dependent, can they be treated as independent for the purposes of​ calculations? Are the selections independent or​ dependent?

Answers

Answer:

The selections are dependent.

Yes, they can be treated as independent (less than 5% of the population).

Step-by-step explanation:

Since the selections are made without replacement, each selection affects the outcome of the next selection and, therefore, the selections are dependent.

Although they are dependent, the selections can be treated as independent if the sample size is no more than 5% of the total population. In this case, the sample size is 1235 adults out of a population of 15,958,866 adults. The percentage represented by the sample is:

[tex]P=\frac{12,345}{15,958.866}*100\\ P=0.077\%[/tex]

Thus the selections can be treated as independent for the purposes of calculations.

Which answer shows 2.13786 times 10 Superscript 4 written in standard form?

Answers

Answer:

Answer:

21378.6

Step-by-step explanation:

You move the decimal point four places towards the right.

Answer:

21378.6

Step-by-step explanation:

Kinda been stuck on this one, someone pls let me know

Answers

Answer:

255

Step-by-step explanation:

use calculator

Answer:

255

Step-by-step explanation:

∑ᵢ₌₁⁸ 2ⁱ⁻¹

Using brute force method:

S = 2⁰ + 2¹ + 2² + 2³ + 2⁴ + 2⁵ + 2⁶ + 2⁷

S = 1 + 2 + 4 + 8 + 16 + 32 + 64 + 128

S = 255

Using formula:

S = a₁ (1 − rⁿ) / (1 − r)

S = 1 (1 − 2⁸) / (1 − 2)

S = 255

Which of the following lines has a slope of -1/2? my options are x - 2 y = 0 - x + 2 y = 0 x + 2 y = 0

Answers

Answer: So x + 2y = 0 is your answer

Step-by-step explanation:

if you look simplify all of these, you will get:

x - 2y = 0

-2y = -x

y = 1/2x  No

-x + 2y = 0

2y = x

y = 1/2x  No

x + 2y = 0

2y = -x

y = -1/2x Yes!

So x + 2y = 0 is your answer

Answer:So x + 2y = 0 is your answer

Step-by-step explanation:

if you look simplify all of these, you will get:

x - 2y = 0

-2y = -x

y = 1/2x  No

-x + 2y = 0

2y = x

y = 1/2x  No

x + 2y = 0

2y = -x

y = -1/2x Yes!

So x + 2y = 0 is your answer

Richard has just been given a 6-question multiple-choice quiz in his history class. Each question has four answers, of which only one is correct. Since Richard has not attended class recently, he doesn't know any of the answers. Assuming that Richard guesses on all six questions, find the indicated probabilities. (Round your answers to three decimal places.)
What is the probability that Richard will answer at least half the questions correctly?

Answers

Answer:

0.169

Step-by-step explanation:

This is a question on binomial distribution where we only have two outcomes: success or failure

Binomial distribution formula:

P(X= x) = n!/[x!(n-x)!] p^x × q^(n-x)

n is the number of questions in the quiz n = 6

Probability of guessing a correct number = probability of success = p

We told each question has 4 options in which one is correct.

The probability of guessing a correct answer = p= 1/4

p = 0.25

q = 1-p = 1-0.25

q = 0.75

Probability that Richard will answer at least half the questions correctly = P(X≥3)

P(X≥3) = P(X=3) +P(X=4) +P(X=5) +P(X=6)

See attachment for details

P(X≥3) = 0.01318 + 0.0330 + 0.0044 + 0.0002

P(X≥3) = 0.1694

The probability that Richard will answer at least half the questions correctly = 0.169

Using traditional methods, it takes 11.7 hours to receive a basic flying license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 23 students and observed that they had a mean of 12.1 hours with a standard deviation of 1.4. A level of significance of 0.05 will be used to determine if the technique performs differently than the traditional method. Assume the population distribution is approximately normal. Find the value of the test statistic. Round your answer to three decimal places.

Answers

Answer:

There is no evidence to said that the technique performs differently than the traditional method.

Step-by-step explanation:

First, we need to write the null and alternative hypothesis as:

H0: x = 11.7

H1: x ≠ 11.7

Where x is the population mean for the new method.

Taking into account that the population distribution is approximately normal and the standard deviation of the population is unknown, we can calculated the statistic as:

[tex]t=\frac{x'-x}{\frac{s}{\sqrt{n} } }[/tex]

Where t follows a distribution t-student with n-1 degrees of freedom.

So, replacing x' by the mean of the sample, s by the standard deviation of the sample and n by the size of the sample, we get:

[tex]t=\frac{12.1-11.7}{\frac{1.4}{\sqrt{23} } }=1.37[/tex]

Then, we can find the critical points as:

P(t<t1) = 0.025

P(t<t2) = 0.975

So, with 22 degrees of freedom, the critical point t1 and t2 are equal to -2.07 and 2.07 respectively.

Since 1.37 is between the critical points, we can't reject H0. it means that there is no evidence to said that the technique performs differently than the traditional method.

6, 9, 15, 24, 36, 51, ?

Answers

Answer:

6, 9, 15, 24, 36, 51, 69, 90, 114

Answer:

6, 9, 15, 24, 36, 51, 69, 90, 114 and so on........

Golden algae are a group of protists whose color is due to carotenoid pigments: yellow and brown. Most have two flagella and all are photosynthetic. A group of students was given a sample of one of these (Dinobryon) that is colonial. Their instructions were to design two or more experiments that could be done with these organisms. The students decide that for one of their experiments, they want to see whether the organisms can photosynthesize. Which of the following is the most appropriate hypothesis for their experiment?

a. If the Dinobryon are kept in the dark, then one-half will be expected to die in 5 days.
b. If the Dinobryon can live without exposure to light for > 5 days, then they must be able to photosynthesize.
c.If the Dinobryon can live > 5 days without added food, then they must be able to photosynthesize.
d.If the Dinobryon are able to photosynthesize, then they should contain photosynthetic pigments
e. If the Dinobryon photosynthesize, then they must need no other minerals or nutrients and will be able to live in distilled water and light alone.


Answers

Answer:

Option-D

Step-by-step explanation:

Golden algae are the protists which can photosynthesize and possess flagella. In the given question, a hypothesis has to be proposed which could explain the photosynthesis process in the golden algae process.

A hypothesis is a predicted statement which is based on the previous knowledge and can explain the natural event in. Also, the hypothesis can be tested with the experiments.

The hypothesis shows the possibility of the natural event therefore hypothesis begins with the If the word. In the given question, the statement that if Dinobryon can photosynthesise then they should contain the photosynthetic pigments is considered correct hypothesis which can be tested through the experiments.

Thus, Option-D is the correct answer.

Please answer this correctly

Answers

Answer:

There are 10 teams.

Step-by-step explanation:

Given that the question wants at least 48 swimmers so any numbers above 47 are counted.

In this diagram, there are 10 teams consisting 48 swimmers and above, 48, 52, 53, 63, 76, 79, 82, 84, 85 and 86.

Answer:

10 teams have 48 or more swimmers.

Step-by-step explanation:

If we look at stem 4 there is one team with 48 members.

So counting from there we  have:

1 + 2 + 1 + 2 + 4

= 10 teams.

Any help would be greatly appreciated

Answers

Answer: 267.9

Step-by-step explanation:

Since we are given the radius, we can plug it into the equation given.

[tex]V=\frac{4}{3} \pi (4)^3[/tex]

[tex]V=\frac{4}{3} \pi (64)[/tex]

[tex]V=267.9[/tex]

PLEASE ANSWER, URGENT!!! In a math exam, Zach, Wendy, and Lee have an average score 91. Wendy, Lee and Chen have an average score 89. Zach and Chen have an average score 95. What is Zach's score?

Answers

Answer:

98

Step-by-step explanation:

Z as Zach; W as Wendy; L as Lee; C as Chen

We know that average score of Z,W, and L is 91, so:

(z + w + l)/3 = 91

z + w + l = 273

Average score W, L, C = 89, so:

(w + l + c)/3 = 89

w + l + c = 267

We take both:

(z + w + l) – (w + l + c) = 273 – 267

z – c = 6

Average score Z and C = 95

(z + c)/2 = 95

z + c = 190

(z + c) – (z – c) = 184

2c = 184

c = 92

z + c = 190

z + 92 = 190

z = 98

So, Zachs score is 98

Find the area of the smaller sector.
A
6 in
030°
Area = [? ]in?
B
Round your answer to the nearest hundredth.

Answers

Answer:

9.42 in²

Step-by-step explanation:

The area of whole circle S=pi*R²    , where pi is appr. 3.14,  R= 6 in

S= 3.14*6² =113.04 in²

The area of smaller sector is Ssec=S/360*30=113,04/12=9.42 in²

The area of the smaller sector with a central angle of 30 degrees and a radius of 6 inches is 9.42478 square inches.

To find the area of a sector, you can use the formula:

Area of sector = (θ/360) × π × r²

where θ is the central angle in degrees, r is the radius of the sector.

The central angle is 30 degrees and the radius is 6 inches.

Plugging these values into the formula:

Area of sector = (30/360) × π × 6²

= (1/12) × π × 36

= (1/12) × 3.14159 × 36

= 9.42478 square inches

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will k+10, k+12, k+14 yield consecutive odd integers

Answers

Answer:

yes, as long as k is an odd number

Step-by-step explanation:

if k is odd integer

k+10 k +12 K+14 are all odd integer

if k is even integer

k+10 k +12 K+14 are all even integer

hope this helps

The ratio of boys to girls in a group is 2:1. If there are 18 more boys than girls, work out how many girls there are.

Answers

Answer:

I think its 18, because if there's 2 boys to 1 girl then if there's 18 girls then there is an equivalent 18 boys to match, plus another 18, which would put the ratio of boy to girl at 2:1

Step-by-step explanation:

Two points are located along a one dimensional coordinate system. The first point is at 2.1 cm and the second point is at 1.8 cm. What is the distance (in cm) between the two points? [Enter only the numerical value, not the unit cm.]

Answers

Answer:

Distance = 0.3

Step-by-step explanation:

We have two point in a line (one dimension).

One point is at 2.1 units and 1.8 units.

The distance between two points can be calculated as the absolute value of the difference between the position of each point.

This can be derived from the distance formula for two dimensions:

[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\y_1=y_2=0\\\\d=\sqrt{(x_2-x_2)^2}\\\\d=|x_2-x_1|[/tex]

Then, for this case, the distance is:

[tex]d=|1.8-2.1|=|-0.3|=0.3[/tex]

Caitlin has cut out a square piece of graph paper that contains a total of 81 blocks.How many blocks are there along one side of the square? Look at the bottom of the page (Number 25)

Answers

Answer:

9 squares on each side of the square.

Step-by-step explanation:

[tex]\sqrt{81}=\sqrt{9\times 9}=\sqrt{9^2}=9[/tex]

There are 9 equally sized blocks on one side of square piece of graph paper.

Best Regards!

What does 3 represent in the equation y = 3x ? the -intercept the slope yintercept

Answers

Answer:

The slope

Step-by-step explanation:

Its equation: y= ax (where a represents the slope)

y =3x

Hope this helps

Good Luck

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HELP! URGENT PLEASE! A tram moved upward 18 meters in 6 seconds at a constant rate. what was the change in the trams elevation each second? Discuss the conflicts in Rousseaus painting and how they compare to the conflicts in Connells short story The Most Dangerous Game. In your opinion, which character does the lion represent? Which character does the antelope represent? Who or what might the other animals in the painting represent? Write your response in two or three paragraphs, and use examples and details from the story in your response. Suppose all individuals are identical, and their monthly demand for Internet access from a certain leading provider can be represented as p = 5 - 0.5q, where p is the price in dollars per hour and q is hours per month. The firm faces a constant marginal cost of $1.If the firm will charge a monthly access fee plus a per hour rate, according to two-part tariff pricing, the total monthly access fee that the firm will collect from all the buyers taken together equals:a. $1.b. $5.c. $8.d. $16. Identify the measure of arc AB. 1. arc AB = 702. arc AB = 60 3. arc AB = 80 4. arc AB = 50 Brainly The management at Nickel Corporation is investigating purchasing equipment that would increase sales revenues by $378,000 per year and cash operating expenses by $257,000 per year. The equipment would cost $300,000 and have a 10 year life with no salvage value. Nickel Corporation uses straight-line depreciation for all fixed assets. The simple rate of return on the investment is closest to (ignore income taxes): how many cities are in america What is the measure of angle ABC? The radius of a circle is 9.7 m. Find the circumference to the nearest tenth?(help its urgent) Decide which element probably has a boiling point most and least similar to the boiling point of cesium. Circle V is shown. Line segments Y V and W V are radii. Tangents Y X and W X intersect at point X outside of the circle. The length of V Y is 5. Angle V is a right angle. What is the measure of circumscribed X? 45 50 90 95 What is the scale factor? The initial velocity of a car moving along a straight path was 0 meters/second. After 10 seconds, it reached a velocity of 25 meters/second. Calculate the cars average acceleration during this time period. Un edificio proyecta una sombra de 20 m de longitud. Si el angulo de la punta de la sombra a un punto de la parte alta del edificio es de 69 Que altura tiene el edificio? Identify and describe the various ways in which Americans participate in the political process. Which types of political participation are the most effective and why? Find the slope of the line that passes through (-49, 68) and (-43, 67). Solve for z. 20 (z + 7) = 0.9 Match each situation with the agency it involves.Food and Drug AdministrazonNational Highway TrafficSafety AdministrationFederal Communica onsCommissionAgencySituationA new miracle pill claims to boostmemory and cognitive sidiis amongadults.Each seat in Ryan's new car has athree-point seat beltCarrie's radio show was suspendedafter she uttered a profane word on air. How many grams of H2O will be formed when 32.0 g H2 is mixed with 84.0 g of O2 and allowed to react to form water Which of the following are examples of statistical questions?1.How many sodas do Jack and his friends drink in a week?2.How many pairs of shoes do you own?3.How many cats does Jack have?4.What types of music does the 6th grade like?