Fatima is on the track team. One day at practice, it took her 19 minutes to run 2 miles. Select the expression that gives this as a unit rate.
Question 8 options:


19 minutes2 miles



912 minutes1 mile



1 mile912 minutes



912
miles per minute.

Answer:

7/15 is 0.4667 in decimal form

Step-by-step explanation:

Answer:

\(2-\sqrt{3}\)

Step-by-step explanation:

\(\begin{aligned}\dfrac{\sqrt{3}-1}{\sqrt{3}+1}\times \dfrac{\sqrt{3}-1}{\sqrt{3}-1} &=\dfrac{(\sqrt{3}-1)(\sqrt{3}-1)}{(\sqrt{3}+1)(\sqrt{3}-1)}\\\\ & =\dfrac{\sqrt{3}\sqrt{3}-\sqrt{3}-\sqrt{3}+1}{\sqrt{3}\sqrt{3}-\sqrt{3}+\sqrt{3}-1}\\\\ & =\dfrac{4-2\sqrt{3}}{2}\\\\ & = 2-\sqrt{3}\end{aligned}\)

There were 5 1/4 bags of popcorn left after eating 4 bags.

To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.

Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:

9 1/4 = (4 * 9 + 1) / 4 = 37/4

Now, let's subtract the 4 bags eaten from the total:

37/4 - 4

To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:

37/4 - 4/1

Now, let's find a common denominator and subtract the fractions:

37/4 - 16/4 = (37 - 16) / 4 = 21/4

The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:

21/4 = 5 1/4

Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.

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The area that will be painted grey is approximately 38 ft².

The circumference of the free-throw circle is given as 30.77 feet, and we know that the free-throw circle is a perfect circle. We can use the formula for circumference to find the radius of the circle, which will be necessary to calculate its area.

Circumference of a circle = 2πr

30.77 = 2 x 3.14 x r

r = 30.77 / (2 x  3.14) = 4.9 feet

Half of the circle will be painted grey. Find the area of half the circle using the formula for the area of a circle.

Area of a circle = π x r²

Area of half the circle = 0.5 x  π x r²

Area of half the circle = 0.5 x 3.14 x 4.9²

Area of half the circle = 37.73 ft²

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Answer: 8

Step-by-step explanation:

"Of" is the same as multiplication so,

2/5 × 20/1 = ?  

20/1 is the same as 20. (20÷1 = 20/1)

In fraction multiplication, we multiply the numerators and then we multiply the denominators and get ↓↓↓↓

Below is a fraction.↓↓↓

2 x 20            40

______    =  ____

5 x 1                 5

Since 40 divided by 5 equals 8 then,

40/5 = 8

Therefore :

2/5 of 20 is 8.

So:

Kara drew 8 of the 20 pictures in art class.

If you are satisfied with my answer, consider making it the brainliest!

Answer:

2

Step-by-step explanation:

The population of the country will be 796 million approximately in the year 2022.

To find when the population of the country will be 796 million, we can set the equation equal to 796 and solve for t:

\(A = 433.4e^{(0.032t)}\\796 = 433.4e^{(0.032t)}\)

Divide both sides by 433.4:

\(e^{(0.032t)} = 1.836\)

Take the natural logarithm of both sides:

\(ln(e^{(0.032t)}) = ln(1.836)\)

0.032t = 0.605

Divide both sides by 0.032:

t = 18.91

Therefore, the population of the country will be 796 million approximately 19 years after 2003. To find the year, we add 19 to 2003:

2003 + 19 = 2022

Therefore, the population of the country will be 796 million approximately in the year 2022.

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Answer:

Sin(2x)+sin(x)+cos(2x)-1

Step-by-step explanation:

Answer:

its the last one

Step-by-step explanation:

because the percent you have to turn it in to a decimal.

Answer:

  (1, -1)

Step-by-step explanation:

You have the point ...

  (3, f(3)) = (3, -1)

The corresponding point on the horizontally compressed graph will be ...

  (3x, f(3x)) = (3, -1)

  (x, f(3x)) = (1, -1) . . . . . the first coordinate of the given point is divided by 3

Answer:

2 m/s

Step-by-step explanation:

Notice that the slope of the time period from 0s to 20s is linear.  This means we can simply look at the distance traveled over the amount of time.  So the distance and time both start at 0.  At 20s, the distance is 40m.

So we can say the following to find the slope:

(40m - 0m) / (20s - 0s) == 40m / 20s == 2 m/s

Hence, the average speed between 0s and 20s is 2m/s.

Cheers

Answer:

(-1, 1)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

3 + 2x - y = 0

-3 - 7y = 10x

Step 2: Rewrite systems

3 + 2x - y = 0

Step 3: Redefine systems

y = 2x + 3

-3 - 7y = 10x

Step 4: Solve for x

Substitution

Step 5: Solve for y

Step 6: Graph

Check the solution set.

The value of c is 1/17.

It is a branch of mathematics that deals with the occurrence of a random event.

Here it is given that the function f(x) can serve as a probability distribution of the discrete random variable X when f(x) = c(x² + 4), for x = 0, 1 ,2

We have to find the value of c

Since f(x) represents the probability distribution x = 0, 1 ,2

So we have f(0)+f(1)+f(2)=1

c(0²+4)+c(1²+4)+c(2²+4)=1

4c+5c+8c=1

17c=1

Divide both sides by 17

c=1/17

Hence, the value of c is 1/17.

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Determine the value c so that each of the following function can serve as a probability distribution of the discrete random variable X when f(x)=c(x2+4), for x=0, 1,2?

a.

1/3

b.

1/17

c.

1/2

d.

1/13

Answer:

ディーズナッツ

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

(2x - 4)(2x + 7) = 4x^2 +14x - 8x -28

= 4x^2 + 6x -28

(x)(x+3) = x^2 + 3x

(4x^2 + 6x - 28) - ( x^2 + 3x ) = 3x^2 + 3x -28

Answer:

no

Step-by-step explanation:

Answer:

No, the opposite.

Step-by-step explanation:

Because if you take out the decimal and see which one is less, btw less is faster, then 2.835 is faster.

Answer:

C. Trimodal

Step-by-step explanation:

The mode of a data set is the value that appears most frequently.

If we list the given data set in increasing order, we get:

70, 75, 75, 75, 80, 83, 83, 83, 84, 84, 86, 86, 86, 88, 89

We can see that there are 3 values (75, 83, 86) that all have equally high levels of frequency. Therefore, this data set is trimodal, since tri- is the Latin root for 3.

Answer:

you add all sides then you can calculate

If probability  each parent is heterozygous for both features, determine the likelihood that a child will only have cystic fibrosis or sickle-cell anaemia.

P(Sickle-cell Anemia)

= 0.25

P(Cystic Fibrosis)

= 0.25

P(Sickle-cell Anemia or Cystic Fibrosis) = P(Sickle-cell Anemia) + P(Cystic Fibrosis)

P(Sickle-cell Anemia or Cystic Fibrosis)

= 0.25 + 0.25

P(Sickle-cell Anemia or Cystic Fibrosis)

= 0.5

The likelihood that a child will have either cystic fibrosis or sickle-cell anaemia is 0.5 or 50%. This is because both parents are heterozygous for both features. This means that each parent has a 25% chance of passing on either one of the conditions to their child. The probability of having either one of the conditions is the sum of the individual probabilities, which is 0.25 + 0.25 = 0.5 or 50%.

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A sample of matter experiences a decrease in average kinetic energy as it continues to cool. One would anticipate that the particles will eventually come to a complete stop. The temperature at which particles should theoretically stop moving is absolute zero. Thus, option B is correct.

What theory directly contradicts concept of absolute zero?

All molecules are predicted to have zero kinetic energy and, as a result, no molecular motion at absolute zero (273.15°C). Zero is a hypothetical value (it has never been reached).

Absolute zero signifies that there is no kinetic energy involved in random motion. A substance's atoms don't move relative to one another.

Therefore, Kinetic energy because it can create heat which goes against the absolute zero. A gas molecule's kinetic energy tends to zero when the temperature reaches absolute zero.

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The blank spaces in the statements area. S, R, and Q  are distinct points that are collinear: b. TX and QS are distinct lines that intersect. c. Point Y and line QS are coplanar. d. Another name for plane P is: plane QSY.

Points that lie on the same straight line are collinear points.

If two lines are lie on the same plane, they are referred to as coplanar lines.

(a.) S, R, and Q are on a straight line. Therefore S, R, and Q  are distinct points that are collinear.

b. TX and QS are distinct lines that intersect.

c. Point Y and line QS are on the same plane. Therefore:

Point Y and line QS are coplanar.

d. Another name for plane P is: plane QSY.

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The slope of the line from the given graph is 1.

A line's steepness and direction are determined by the slope of the line. Without actually using a compass, determining a line's slope in a coordinate plane can aid in determining whether the line is parallel, perpendicular, or not. Any two clearly separated points on a line may be used to compute the slope of any line. Calculated using the slope of a line formula, the ratio of "vertical change" to "horizontal change" between two different locations on a line is determined.

The two coordinates of the points on the line are (-1, 0) and (0, 1).

The slope of the line is given by the formula:

m = (y2 - y1)/(x2 - x1)

m= (1 - 0)/(0 + 1)

m = 1

Hence, the slope of the line from the given graph is 1.

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Answer:

C.

Step-by-step explanation:

because x value cannot be repeated in an ordered pair

Answer:

E

Step-by-step explanation:

Answer:

\(x^\frac{2}{3}\)

Step-by-step explanation:

Using the power of power rule (multiply the exponents)

\(x^\frac{4}{3}\) × \(^\frac{1}{3}\)       \(x^\frac{2}{3}\) × \(^\frac{1}{3}\)

\(x^\frac{4}{9}\)            \(x^\frac{2}{9}\)

When exponents are multiplied, add the answers:

x ^ ( 4/9 + 2/9 )

x ^ ( 6/9 )

x ^ ( 2/3 )