A car travel 65kms from A to B in 70 minutes and 80 km from B to C in 75 minutes.
Find the average speed in km/h of the car for the whole journey?

Answer: x > 3

Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the x term which in this case is -5x by subtracting 20 from both sides. That leaves you with -5x < -15.

To get x by itself, divide both sides by -5, but watch out.

If you divide both sides of an inequality by a negative number, you must switch the direction of the inequality sign.

So we have x > 3.

I have also graphed the inequality for you below.

Start with an open dot at 3. The reason for that is because x > 3 but x is not equal to 3 so we use an open dot.

Now, draw an arrow to the right to

represent all numbers greater than 3.

Answer:

 y = -√(x -5) +2

Step-by-step explanation:

This looks like a square root function reflected vertically, and translated up 2 and right 5.

 y = -√(x -5) +2

_____

g(x) = a·f(x -h) +k   represents a translation of f(x) by (h, k) and a vertical scaling by a factor of "a". If "a" is negative, the function is reflected across the x-axis.

Answer: an option is 2736

and we only have two possible solutions, the other is 6732

Step-by-step explanation:

we want to write a number:

a73b, where a and b are one digit numbers (0 to 9) in such way that the number is divisible by 36.

Now, we know that 36 is multiple of 6, so 6*6 = 36

The multiples of 36 are always even numbers, so we can discard all the odd options for b.

We also can discard the option a = 0, because we want a 4 digit number.

now, let's do it by brute force.

if a = 1, we have:

173b, now you can give b different values (only even values) and see if some of them is divisible by 36. You will find that none is.

if a = 2

273b

when b = 6, we have:

N = 2736, that is divisible by 36 as:

2736/36 = 79, so this is a multiple of 36.

now, you can keep changing the value of a and find all the different possible solutions.

if a = 3,

373b is not divisible by 36 for any value of b

if a = 4

473b  is not divisible by 36 for any value of b

if a = 5

573b  is not divisible by 36 for any value of b

if a= 6

673b  it is divisible by 36 when b = 2.

6732/36 = 187

if a = 7

773b  is not divisible by 36 for any value of b

if a = 8

873b  is not divisible by 36 for any value of b

if a = 9

973b  is not divisible by 36 for any value of b

So we only have two possible solutions

The different solutions this problem have are 2736 and 6732.

This is a part of a number which consists of numerals from 0 to 9.

a73b is the first number where a and b are one digit numbers (0 to 9) which is divisible by 36.

All multiples of 36 are always even numbers, so odd number options for b isn't considered.

If a = 2 when b = 6, we have:  it is divisible by 36 when b = 2.

N = 2736, which is divisible by 36 to give 76 hence it is a multiple of 36.

673b is divisible by 36 when b = 2.

N = 6732 which is divisible by 36 to give 187 hence it is a multiple of 36.

Hence, the two values are  2736 and 6732.

Read more about Digits here  https://brainly.com/question/13124157

Answer:

Total textbook cost of tuition fees per month will be $ 2,356 and 25 cents

Step-by-step explanation:

To solve the exercise, we will first define the total cost per quarter.

cost of 1 credit hour = $ 601

then we solve the following:

cost of 15 credit hours = $ 601 * 15 = $ 9015

textbooks = $ 410

then we solve the following:

total cost = 9015 + 410 = $ 9425

total cost for 3 quarters = 3 * $ 9425 = $ 28275 for 12 months

we calculate as follows

Total textbook cost of tuition fees per month will be

$ 28,275 / 12 = $ 2,356 and 25 cents

Answer:

If a coin is flipped three times, possible outcomes would be:

HHH

HHT

HTH

HTT

THH

THT

TTH

TTT

=> possible outcomes that will include exactly 2 tails:

HTT

THT

TTH

TTT

Hope this helps!

:)

Answer:

The answer is 3 or option B.

Step-by-step explanation:

I just answered the question.

Answer: y= 1/3 x + 5/3

Step-by-step explanation:

1= 1/3(-2) + b where b is the y intercept

  1=   -2/3 + B

+2/3   +2/3

B = 5/3

so we know the slope and the y- intercept

y= 1/3x + 5/3   check:   1=1/3(-2) +5/3

                                    1 =1

Slope intercept form: y = mx + b

m = slope

b = y-intercept

Since we know the slope and one point, we can solve for the y-intercept.

y = 1/3x + b

1 = 1/3(2) + b

1 = 2/3 + b

1 - 2/3 = 2/3 - 2/3 + b

1/3 = b

Now, put the final equation together.

y = 1/3x + 1/3

Best of Luck!

Answer:

He did not apply the distributive property correctly for 4(1 + 3i).

Step-by-step explanation:

4 (1 + 3 i) minus (8 minus 5 i)

4 + 12i - 8 + 5i

-4 + 17i

Answer:

A. He did not apply the distributive property correctly for 4(1 + 3i).

Step-by-step explanation:

edg 2020

Answer:

(B)[tex]-2x^5+\dfrac{x^3}{2}+\dfrac{x}{4}+1[/tex]

–2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction + 1

Step-by-step explanation:

Given the polynomial: [tex]\dfrac{x}{4}-2x^5+\dfrac{x^3}{2}+1[/tex]

We are required to pick an equivalent polynomial which is in standard form.

A polynomial is in standard form when it is written in descending powers of x.

Therefore, rearranging the polynomial above, we have:

[tex]-2x^5+\dfrac{x^3}{2}+\dfrac{x}{4}+1[/tex]

The correct option is B.

The correct answer is B. –2x5 + StartFraction x cubed Over 2 EndFraction + StartFraction x Over 4 EndFraction + 1

hope you have a great day :D

Answer:

10 x 17.1 = 171

Step-by-step explanation:

10 x 17.1 = 17.1

Answer:

F(-10)=186

Step-by-step explanation:

F(-10)=2(-10)^2+(-10)-4

F(-10)=2*100+(-14)

F(-10)=200-14

Therefore, F(-10)=186

Answer:

The answer is 186

Step-by-step explanation:

Answer:

V = 46.67cm²

Step-by-step explanation:

[tex]V=\frac{lwh}{3}[/tex]          Use this equation to find the volume of the pyramid

[tex]V=\frac{35*4}{3}[/tex]         Multiply in the numerator

[tex]V=\frac{140}{3}[/tex]           Divide

V = 46.67cm²

If this answer is correct, please make me Brainliest!

Answer:

The 95% confidence interval estimate for the population mean life of compact fluorescent light bulbs in this shipment is between 7,255 hours and 7,745 hours.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.95[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96*\frac{1000}{\sqrt{64}} = 245[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 7500 - 245 = 7255 hours.

The upper end of the interval is the sample mean added to M. So it is 7500 + 245 = 7745 hours.

The 95% confidence interval estimate for the population mean life of compact fluorescent light bulbs in this shipment is between 7,255 hours and 7,745 hours.

A means of the estimate numerical, the variation in that estimate is referred to as the confidence interval, therefore its value is "[tex][7255, 7745][/tex]".

[tex]95\%[/tex] C.I. for a mean lifetime is given by

[tex]= [ \overline{X} - \tau_{0.975} \frac{\sigma}{\sqrt{n}} , \overline{X} + \tau_{0.975} \frac{\sigma}{\sqrt{n}} ][/tex], where

[tex]\bar{X}[/tex] (sample mean) [tex]= 7500[/tex]

[tex]\sigma[/tex] (standard deviation)[tex]= 1000[/tex]

[tex]n = 64[/tex]

by putting the value into the above-given formula we get the value that is  [tex]= [7255, 7745].[/tex]

Find out more information about the confidence interval here:

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Answer:

6.14125(0.15) = 0.9211875 (below 1)

6.14125 - 0.92118 = 5.22007

Step-by-step explanation:

Given data

1. 10(.15)=1.5

2. 10-1.5=8.5

3. 8.5 (.15)=1.275

4. 8.5-1.275=7.225

continuation the sequence

5)    7.225 (0.15) = 1.08375

6)    7.225 -  1.08375 = 6.14125

7)   6.14125(0.15) = 0.9211875   (below -one)

8 ) 6.14125 - 0.9211875 = 5.2200625 (get number 5)

9)   5.2200625(0.15) = 0.783009

10) 5.2200625 - 0.783009 = 4.4370532

Answer:

23

Step-by-step explanation:

Multiplication is the process of multiplying. The amount of cereal that John will eat in 15 days is 50 ounces.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that John eats 20 ounces of cereal every 6 days. Therefore, the amount of cereal that John eats every 6 days is,

Amount of cereal in a day = 20 ounces / 6 days

                                           = (20/6) ounces in a day

Now, the amount of cereal that John will eat in 15 days is,

Amount of cereal in 15 days = 15 days × (20/6) ounces in a day

                                               = 50 ounces

Hence, the amount of cereal that John will eat in 15 days is 50 ounces.

Learn more about Multiplication here:

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Answer:

The absurdity of Harrison's exaggerated handicaps ridicules society's obsession with equality.Step-by-step explanation:

Answer:

Step-by-step explanation:

In the year 2081, the 211th, 212th, and 213th amendments to the Constitution dictate that all Americans are fully equal and not allowed to be smarter, better-looking, or more physically able than anyone else. The Handicapper General's agents enforce the equality laws, forcing citizens to wear "handicaps": masks for those who are too beautiful, loud radios that disrupt thoughts inside the ears of intelligent people, and heavy weights for the strong or athletic.

One April, 14-year-old Harrison Bergeron, an intelligent, athletic, and good-looking teenager, is taken away from his parents, George and Hazel Bergeron, by the government. They are barely aware of the tragedy, as Hazel has "average" intelligence (a euphemism for stupidity), and George has a handicap radio installed by the government to regulate his above-average intelligence.

Hazel and George watch ballet on television.They comment on the dancers, who are weighed down to counteract their gracefulness and masked to hide their attractiveness. George's thoughts are continually interrupted by the different noises emitted by his handicap radio, which piques Hazel's curiosity and imagination regarding handicaps. Noticing his exhaustion, Hazel urges George to lie down and rest his "handicap bag", 47 pounds (21 kg) of weights locked around George's neck. She suggests taking a few of the weights out of the bag, but George resists, aware of the illegality of such an action.

On television, a news reporter struggles to read the bulletin and hands it to the ballerina wearing the most grotesque mask and heaviest weights. She begins reading in her unacceptably natural, beautiful voice, then apologizes before switching to a more unpleasant voice. Harrison's escape from prison is announced, and a full-body photograph of Harrison is shown, indicating that he is seven feet (2.1 m) tall and burdened by three hundred pounds (140 kg) of handicaps.

George recognizes his son for a moment, before having the thought eliminated by his radio. Harrison himself then storms the television studio in an attempt to overthrow the government. He calls himself the Emperor and rips off all of his handicaps, along with the handicaps of a ballerina, whom he proclaims his "Empress". He orders the musicians to play, promising them nobility if they do their best. Unhappy with their initial attempt, Harrison takes control for a short while, and the music improves. After listening and being moved by the music, Harrison and his Empress dance while flying to the ceiling, then pause in mid-air to kiss.

Diana Moon Glampers, the Handicapper General, enters the studio and kills Harrison and the Empress with a ten-gauge double-barreled shotgun. She forces the musicians to put on their handicaps, and the television goes dark. George, unaware of the televised incident, returns from the kitchen and asks Hazel why she was crying, to which she replies that something sad happened on television that she cannot remember. He comforts her and they return to their average lives.

Answer:

No. See below.

Step-by-step explanation:

No, Seth lost the plot at the end.

At x = 3,

y = 4x + 1 = 12 + 1 = 13

At x = -2,

y = 4x + 1 = -8 + 1 = -7

Therefore, the curves intersect at (3,13) and (-2,-7)

Answer:

The height of the building: g

Distance from the building to the base of the ladder: 57

The length of the ladder: m

Angle the ladder makes with the building: k

Angle the ladder makes with the ground: 55

Step-by-step explanation:

Based off the location of the variables and numbers, the descriptions match where they are.

Hope that helps!

Answer:

the circumference is 9.42 cm

Step-by-step explanation:

3.14 · (3 cm)

c = 9.42 cm

hope this helps :-)

Answer:

Step-by-step explanation:

The numbers in the first column are an arithmetic sequence with a common difference of 2. The next few numbers will be 6, 8, 10, ...

The numbers in the second column are an arithmetic sequence with a common difference of 3. The next few numbers will be 9, 12, 15, ...

The numbers in the third column are an arithmetic sequence with a common difference of 5. The next few numbers will be 15, 20, 25, ...

To use the table, Mark can extend each sequence until he has a row with 45 in the third column, or he can multiply or add rows to give a result of 45 in the third column. For example, multiplying the first row by 9 gives 18:27:45 meaning that Mark needs 18 liters of blue and 27 liters of yellow to make 45 liters of green paint.

Answer:

x-intercept: -13/6

y-intercept: 13

General Formulas and Concepts:

Algebra I

Equality Properties

Coordinate Planes

Slope-Intercept Form: y = mx + b

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

y = 6x + 13

Step 2: Find y-intercept

Compare given equation to slope-intercept form.

y = 6x + 13 ↔ y = mx + b

Slope m = 6

y-intercept b = 13

Step 3: Find x-intercept

Substitute y = 0.

Answer:5^38

Step-by-step explanation:

5^23 x 5^15

5^(23+15)

5^38

Answer:

400

Step-by-step explanation:

20 x 20= 400

Answer:

I'd say that if it is the total area square and half of the circle. the answer could be 557.08

Step-by-step explanation:

area of the square 20*20= 400

area of the circle= Pi*radio to the square divided by two cause its only the half of a circle so it is like 3.1416*10^2=100*3.1416=714.16/2=157.08

now we can sum up the square area and the circle

400+157.08= 557.08

I'm not actually sure itll depend if the wide and height of the square is the same. here im guessing that its 20 both. and another thing I didnt round the answer it was just that

Answer:

it's B

Step-by-step explanation:

because I took the test

Answer:

In this case, you should check the x-intercept (y = 0).

=> (x-3)(x+4) = 0

=> Two x-intercept at x = 3 and x = -4

C, D are  not right, because there is no two x-intercepts.

A is not correct, because both of x-intercepts are less than 0.

=> Option B is correct.

Hope this helps!

:)

Answer:

25%

Step-by-step explanation:

I'm not great at probability but the chances of rolling an odd number on one dice is 50%, so you should have to multiply 0.5 * 0.5 to get 0.25, or a percentage of 25%. Hope this helps :)

Answer:

D.

Step-by-step explanation:

Rotation by 180 about O will map QSU onto itself.

Answer:

if your question is to find the vertical height of D, ans is 5

Step-by-step explanation: