It takes Liza 2/3 of an hour to walk from her home to her college at a rate of 6 km/h. How far apart are her home and the college?

Answer:

9200

Step-by-step explanation:

Step-by-step explanation:

the answer is 48 because

Answer:

x=144

Step-by-step explanation:

90-36=54

that's their difference so just add 54 to 90

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To obtain the coordinates of the vertices of triangle X'Y'Z' after the translation of 2 units left and 1 unit up, we simply subtract 2 from the x-coordinates of the vertices of triangle XYZ and also add 1 to the y-coordinates, as follows:

and lastly:

Therefore, the vertices of triangle X'Y'Z' after the translation of 2 units left and 1 unit up are:

X' (-3, -1)

Y' (4, -2)

Z' (0, -4)​

We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

The given system of equations are 2x-1/3y = -2...(1)

3x+y=1...(2)

We solve this system of equations by using substitution method.

Let us solve for x in equation to substitute it in equation (2).

2x=-2+1/3y

Divide both sides of equation by 2.

x=-1+1/6y

Now plug in the value of x in equation 2.

Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

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Answer:

\(37 - c = x\)

Step-by-step explanation:

We'll use c to represent the amount taken away (subtracted) and x to represent the amount left (the answer).

We begin with 37 balloon, and take away c amount to make x.

37 - c = x

The option that is not true about polynomial functions is:

Option D. The deg (f ^ 3) = 3m​

For polynomial functions f(x) and g(x), if deg(f) = m * deg(g) = n, then we have the following:

Option A: deg(f + g) = max(m, n)

This is true because we know that the degree of the sum of two polynomials is the maximum of their individual degrees.

Option B: deg(f * g) <= m + n

This is true because we know that the degree of the product of two polynomials is at most the sum of their individual degrees.

Option C: If g is a factor of f, then deg(f) <= m

This is true because If g is a factor of f, it means that f can be divided by g without leaving a remainder. In this case, the degree of f is less than or equal to the degree of g.

D. The deg(f ^ 3) = 3m

This is not true because the degree of the polynomial f raised to the power of 3 is not necessarily equal to 3 times the degree of f. The degree of f^3 will depend on the individual terms and their exponents.

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The simplified expression of 32/5 x 3(-7/5) is  -672/25

The mathematical expression is given as:

32/5 x 3(-7/5)

Evaluate the product of 3 and -7/5

32/5 x 3(-7/5) =  32/5 x -21/5

Evaluate the product of 32 and -21

32/5 x 3(-7/5) =  672/5 x -1/5

Evaluate the product of 5 and 5

32/5 x 3(-7/5) =  672/25 x -1

So, we have:

32/5 x 3(-7/5) =  -672/25

Hence, the simplified expression of 32/5 x 3(-7/5) is  -672/25

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Answer:

Option (1)  ;   y = 7x

Step-by-step explanation:

(1) reads y = 7x, a line with slope 7, therefore the rate of change in this is 7

(2) says that y increases 12 units every time that x increases 4 Then the rate of change is: (increase in y / increase in x = 12/4 =3

(3) shows a table from which we can see that an increase of y in 8 corresponds to an increase of x in 2:  rate of change = (8 - 0) , (2 - 0) = 4

(4) shos a line with slope (rate of change) given by:  (12 - 0) / (2 - 0) = 12/2 = 6

Therefore, the greatest rate of change is shown by the first expression  

y = 7 x

Answer:

you can make 12 cans of them

Answer:

empty set is the answer

Step-by-step explanation:

hope I helped

Answer:

Step-by-step explanation:

If we want to find the axis of symmetry of the parabola of \(y=-4x^{2} -8x-7,\) we would use the formula of \(-\frac{b}{2(a)}\) to find it.

b=-8

a=-4

so the formula would look like this \(-\frac{-8}{2(-4)}\), simplify it >>>\(-\frac{-8}{-8}\) which is -1

So -1 would be the axis of symmetry

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Answer:

30/100 and 70/100

Step-by-step explanation:

To make things a bit easier, lets simplify 6/20

=> 6/20 = 3/10

Now, since we see that both fractions have a denominator of 10, we can multiply the denominators by 10 to make the denominators 100.

=> 3/10 and 7/10

=> 3 x 10/10 x 10 and 7 x 10/10 x 10

=> 30/100 and 70/100

Therefore, the fractions with denominator 100 are '30/100 and 70/100'

Hoped this helped.

Answer: One is a factor of every whole number since every number is divisible by itself.

Step-by-step explanation: True statement

The cutoff point is 717 minutes.

Arrange the data in ascending order.

307, 311, 321, 322, 354, 363, 377, 406, 410, 425, 435, 461, 464, 474, 499, 505, 513, 517, 534, 548

Thus, the value of i is 5.

Here, i is an integer, the 25th percentile is the mean of the data values at the 5th and 6th positions.

The data value in the 5th position is 354 and the data value in the 6th position is 363. Thus, the mean of these two values is,

=358.5

​

The 25th percentile is considered as the first quartile. Hence, the value of the first quartile (Q1 ) is 358.5 minutes.

Find the third quartile (Q3) or 75th percentile.

Consider p=75 and n=20 .

Thus, the value of i is 15.

Here, i is an integer, the 75th percentile is the mean of the data values in positions at the 15th and 16th

The data value in the 15th position is 499 and the data value in the 16th  position is 505. Thus, the mean of these two values is 502.

The 75th percentile is considered as the third quartile. Hence, the value of the third quartile (Q3 ) is 502 minutes.

The interquartile range (IQR) is 143.5

The upper fence is,

Upperfence=502+(1.5∗143.5)

=502+215.25

=717.25

≈717minutes

The cutoff point is 717 minutes.

The phone company decides to use the upper fence as the cutoff point for the number of minutes at which the customer should be contacted. Thus, the cutoff point is 717 minutes.

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We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour.

Sample Mean: = (29 + 27 + 34 + 40 + 22 + 28 + 14 + 35 + 26 + 35 + 12 + 30 + 23 + 18 + 11 + 22 + 23 + 33) / 18

= 480 / 18

≈ 26.667

Sample Standard Deviation (s):

= ✓((Σ(29 - 26.667)² + (27 - 26.667)² + ... + (33 - 26.667)²) / (18 - 1))

≈ ✓(319.778 / 17)

≈ ✓(18.81)

≈ 4.336

Confidence level = 99%

Sample Size (n) = 18

Sample Mean = 26.667

Sample Standard Deviation (s) = 4.336

Degrees of Freedom (df) = n - 1 = 18 - 1 = 17

Using a t-table or statistical software, we find that the critical value for a 99% confidence level with 17 degrees of freedom is approximately 2.898.

Margin of Error (E) = 2.898 * (4.336 / ✓18))

≈ 3.748

Confidence Interval = (26.667 - 3.748, 26.667 + 3.748)

= (22.919, 30.415)

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour. This means that if we were to repeat the study multiple times and construct confidence intervals, approximately 99% of those intervals would contain the true mean healing rate of the population.

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For each variable, the possible values are:

a) T = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

b) X = {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}

c) U = {0, 1, 2, 3, 4, 5, 6}

d) Z = {0, 1, 2}

Item a:

In total, there are 10 pumps, hence the possible values are all integers from 0 to 10, that is:

T = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Item b:

In the first, there are 6 pumps, and in the second 4, hence, the difference ranges from -4 to 6, that is:

X = {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}

Item c:

The maximum number in a station is 6 pumps, hence this variable ranges from 0 to 6.

U = {0, 1, 2, 3, 4, 5, 6}

Item d:

Either none of the stations has exactly two pumps in use, or one has or both, hence the variable ranges from 0 to 2.

Z = {0, 1, 2}

The question is incomplete. The complete question is:

"The number of pumps in use at both a six-pump station and a four-pump station will be determined. Give the possible values for each of the following random variables. (Enter your answers in set notation.)

a. T = the total number of pumps in use

b. X = the difference between the numbers in use at stations 1 and 2.

c. U = the maximum number of pumps in use at either station

d. Z = the number of stations having exactly two pumps in use"

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Answer:

Differentiation is concerned with things like speeds and accelerations, slopes and curves ect. These are Rates of Change, they are things that are defined locally. The Fundamental Theorem of Calculus is that Integration and Differentiation are the inverse of each other.

The expression form of the given statement is 7(x+1).

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given a statement, six times a number added to the sum of the number and seven

Let the number be x, then,

6x+(x+7) = 7x+7 = 7(x+1)

Hence, The expression form of the given statement is 7(x+1).

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The value of the test statistic of the hypotheses is; -17.969

The test statistic is defined as a number, calculated from a statistical test, which is used to find if your data could have occurred under the null hypothesis.

We are given;

Sample size; n = 1160

Sample proportion; p^ = 88% = 0.88

Population proportion; p = 97% = 0.97

The claim is about the population proportion (p) in the hypotheses. Since we are told that fewer than 97% of adults have a cell phone, then the claim is; p < 0.97

The null hypothesis is expressed as;

H₀: p = 0.97

The alternative hypothesis is expressed as;

Hₐ: p < 0.97

The value of the test-statistic is gotten from the formula;

z = (p^ - p)/(√(p(1 - p)/n))

z = (0.88 - 0.97)/(√(0.97(1 - 0.97)/1160))

z = -17.969

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Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer:Find the equation of a line.whose slope is 4 and which passes through the point (5, - 7) Class 11. >> Applied Mathematics. >> Straight lines. >> Various forms of the equation of a line. >> Find the equation of a line.whose slope. Question. Find the equation of a line.

Step-by-step explanation:

Answer:

x<10

Step-by-step explanation:

We can start off with adding 50.4x to both sides:

Once we do that we get the following: 43.2x < 432

If you notice, they both are almost the same number with the different of the decimal place. Lets multiply both sides by 10 to get rid of the decimal place:

432x < 4320

Now, if you see, they're basically the same number but the second place is x10 greater.

We can divide both sides by 432 and get x<10 as our answer!

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A higher credit score reduces your fixed costs because you will pay lower interest rates. That is option A.

A higher credit score is one of the factors that are being considered by banks or lenders before one is being viewed as being legible to borrow money.

This is soo because a higher credit score will reduce the lending interest rates of the individual because it shows such will pay back the borrowed money as soon as possible.

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The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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Answer:

Slope = (4/5)

Step-by-step explanation:

Point 1: (-2, 0); Point 2: (3, 4)

            (x₁, y₁)               (x₂, y₂)

       y₂ - y₁         4 - 0             4            4

m = ----------- = ------------ = ------------ = ------

       x₂ - x₁         3 - (-2)        3 + 2         5

y - y₁ = m(x - x₁)

y - 0 = (4/5) (x - (-2)

y - 0 = (4/5) (x + 2)

y - 0 = (4/5)x + (8/5)

y = (4/5)x + (8/5)

I hope this helps!

Answer:

There are a total of 25 marbles in the bag.

The probability of choosing a red marble first is 8/25 since there are 8 red marbles out of 25 marbles in the bag.

Since a marble is not replaced after the first selection, there are now 24 marbles in the bag. There are still 3 blue marbles in the bag.

The probability of choosing a blue marble second, after a red marble has already been selected, is 3/24 or 1/8 since there are 3 blue marbles left out of 24 marbles in the bag.

To find the probability of both events occurring together, we multiply their individual probabilities:

8/25 x 1/8 = 1/25

Therefore, the probability that a red marble is chosen first, followed by a blue marble, is 1/25.

Answer:

C. 531,441

Step-by-step explanation:

You take the largest possible value and put it to the power of how many numbers there are. In this case 9^6. Hope this helps.