An object is moving at a speed of 7100 kilometers per minute. Express this speed in miles per second

9514 1404 393

Answer:

  a) y = 3x-1

  b) y = x+5

Step-by-step explanation:

a) We notice the x-values change by 1, so the change in the y-value is the slope. -4 -(-7) = 3 is the change between the first two y-values.

The y-intercept is shown by the ordered pair (0, -1). So, the slope-intercept equation is ...

  y = 3x -1

__

b) We note that the change in x is 2 units, as is the change in y. Then the slope of the function is m = 2/2 = 1. The y-intercept (b) can be found from ...

  b = y -mx

  b = 7 -1·2 = 5

Then the slope-intercept equation is ...

  y = x + 5

Answer:

The answer would be Y=3X+3 .

Hope it was helpful .

The equation of the line shown in the graph is y = 3x + 3.

The equation of the line shown in the graph is determined by calculating the slope and y - intercept of the line as shown below.

The slope of the line is calculated as follows;

m = Δy / Δx

where;

m = ( 9 - 3 ) / (2 - 0 )

m = 6 / 2

m = 3

The  y - intercept of the line is the point where the line intersects y-axis.

c = 3

The general equation of a line is given as;

y = mx + c

So our equation of the line becomes;

y = 3x + 3

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Answer:

20,000 + 600 + 2 = 20,602

Step-by-step explanation:

twenty thousand = 20,000

six hundred = 600

two = 2

Take those numbers and add them together. You get 20,602

Complete question is;

A researcher wishes to determine if aerobic exercise improves mental performance immediately following the exercise. He plans to have high school students participate in 30 minutes of aerobic exercise and then take a standard test of their reasoning skills. Suppose the scores of high school students on this test of reasoning skills immediately after 30 minutes of aerobic exercise follow a Normal distribution with mean μ and standard deviation σ = 4. Suppose also that, in the general population of all high school students, scores on the test of reasoning skills follow a Normal distribution with mean 25 and standard deviation σ = 4. The researcher, therefore, decides to test the following hypotheses.

H0 : μ = 25, Ha : μ > 25

To do so, the researcher has 10,000 high school students do 30 minutes of aerobic exercise and then, immediately following the exercise, take the test. The mean score for these students is = 25.2 and the P-value is less than 0.0001.

It is appropriate to conclude which of the following?

Select one:

A. The researcher has conclusively proved that, for high school students, 30 minutes of aerobic exercise substantially improves mental performance.

B. The researcher has strong evidence that, for high school students, 30 minutes of aerobic exercise substantially improves mental performance.

C. The researcher has moderate evidence that, for high school students, 30 minutes of aerobic exercise substantially improves mental performance.

D. None of the above

Answer:

D. None of the above

Step-by-step explanation:

We see that the researcher wants to test the hypotheses;

Null hypothesis; H0 : μ = 25,

Alternative hypothesis; Ha : μ > 25

Population mean = 25 and standard deviation σ = 4

After testing a sample of 1000 students, he discovered that;

Sample size; n = 1000

Sample mean; x¯ = 25.2

After calculations, he got P-value as less than 0.0001.

Now, he can't make any conclusion or evidence for this research because there is no population mean for the aerobic exercise and also no significance value in the entire question to compare the p-value with.

Thus, none of the options are correct.

Answer:

1500

Step-by-step explanation:

Answer:

196

Step-by-step explanation:

T25=4+(25-1)8

=4+192

T25=196

The 25th term of the arithmetic sequence is 196.

The formula that can be used in finding the nth term of an arithmetic sequence will be: = a + (n - 1)d

where,

a = first term = 4

d = common difference = 8

n = number of terms = 25

Therefore, the 25th term of the sequence will be:

= a + (n - 1)d

= 4 + [(25 - 1) × 8]

= 4 + (24 × 8)

= 4 + 192

= 196

The 25th term is 196.

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Answer:

B

Step-by-step explanation:

30-3.12=26.88 divide that by 4 and you get 6.72

Answer:

The Answer is B, $6.72

Step-by-step explanation:

30-3.12= 26.88

26.88÷ 4= 6.72

Answer:

the ans is

Step-by-step explanation:

monday = 40/per gallon

tuesday = 120/per gallon

1) The miles traveled per gallon of fuel on Monday = 4 miles/gallons

2) The number of gallons of fuel used on Tuesday = 12 gallons

"It is a quotient of two mathematical expressions."

"The average rate is the total change in output values divided by the change in the input values."

For given situation,

On Monday,

a dairy farmer used 5 gallons of fuel to drive 40 miles.

So, the miles traveled per gallon of fuel would be the ratio of the distance he drove and the fuel used.

the miles traveled per gallon of fuel:

= 20 / 5

= 4 miles/gallon

Therefore, the miles traveled per gallon of fuel on Monday = 4 miles/gallons

On Tuesday,

he drove 120 miles at an average rate of 10 miles per gallon of fuel.

Let he used 'x' gallons of fuel.

⇒ 10 = 120/x

⇒ 10 × (x) = 120

⇒ x = 120/10

⇒ x = 12 gallons

Therefore, he used 12 gallons of fuel on Tuesday.

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Answer:

Keisha has 22 dollars, Justin has 48 dollars, and Frank has 16 dollars

Answer:

6xy+4x−y

Step-by-step explanation:

Answer:

y=5x+5

Step-by-step explanation:

to find the slope of the line: 25-(-5)/4-(-2)=30/6=5

so the slope is 5

to find the y-intercept:

y=5x+b

25=5(4)+b (i used the point (4, 25) and plugged in 4 for x and 35 for y)

b=5

so, the equation of the line is: y=5x+5

Answer:

9.61cm

Step-by-step explanation:

Let height be x thus length will also be x

since the base is a square the width and length are also equal.

volume of pyramid=length×width×height

3

296cm³=x×x×x

3

296×3=x³

888=x³

x= cube root of 888

x=9.61cm

Answer:

9/2 miles or 4.5 miles

Step-by-step explanation:

First lets see how many miles Jim would run in one minute. That would be 3/28 miles in one minute. Than multiply that by 42 and you get 9/2.

Answer:

Solution for For Exercise, graph the solution set. −30x ≥ 20y + 600. ... Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 ... Q: Use the intermediate value theorem to show that the polynomial function has a zero in the ...

Step-by-step explanation:

Answer:

All values less than 30.

Step-by-step explanation:

Answer:

pythagoras theorem

Step-by-step explanation:

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

Answer:

(a+b)(c+d)=a c+a d+b c+b d is the formula

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

S= (2M-15)=185

2m=185+15= 200

m=200÷2= 100cm-C

Answer:

Step-by-step explanation:

Answer:

A. They are multiples of 5

Step-by-step explanation:

10 times 2= 20+5= 25

25 times 2= 50+5= 55

55 times 2= 110+5= 115

115 times 2= 230+5= 235

All of them are multiples of 5.

Hope that helped! :)

Answer:

C

Step-by-step explanation:

When we subtract 9 from both sides we get

[tex]|x|\leq -2[/tex].

Now when we get rid of the absolute value sign, we make two inequalities.

This first is [tex]x\leq -2[/tex] and for the second we need to switch the negative sign to a positive sign and flip the [tex]\leq[/tex] to a [tex]\geq[/tex]. This makes the second equation [tex]x\geq 2[/tex].

P.S. The second equation wasn't an option in the answer.

Answer:

12m

Step-by-step explanation:

a+b=c

a=?

b=9m

c=15m

a+9m×9m=15m×15m

a+81=225

a=225-81

a=144

find its square root

a=12m

Answer:

Step-by-step explanation:

705

Answer I confirm the other persons awnser  it is 705

Step-by-step explanation:

Answer:

ff

Step-by-step explanation:

Answer:

x + 2, x ≠ -2

Step-by-step explanation:

Note that F(x) = x^2 + 4x + 4 factors into (x + 2)^2, and that we are dividing this by g(x) = x + 2.  The quotient is x + 2, which in this problem has been named h(x).  

The quotient (f/g)(x) is therefore x + 2 EXCEPT that this is not defined at x = -2, because the denominator, x + 2, will be zero there, undefined.

Answer:

6 gumballs can be stored in the gumball machine.

Step-by-step explanation:

Since a gumball machine consists of a base and a glass sphere, and the gumballs are stored in the glass sphere, if each gumball has a diameter of 1.5 inches, to determine how many gumballs can be stored in a gumball machine whose glass sphere measures 10 inches in diameter, the following calculation must be made:

10 / 1.5 = X

6.666666 = X

Thus, 6 gumballs can be stored in the gumball machine.

Answer:

7

Step-by-step explanation:

[tex]5 \frac{3}{5} \div \frac{4}{5} [/tex]

[tex]5 \frac{3}{5} = \frac{5 \times 5 + 3}{5} [/tex]

[tex] \frac{25 + 3}{5} = \frac{28}{5} [/tex]

[tex] \frac{28}{5} \times \frac{5}{4} [/tex]

[tex]28 \frac{1}{4} [/tex]

[tex] = 7[/tex]