q(v)= int 0 ^ v^ prime sqrt 4+w^ 5 dw ther; q^ prime (v)=

Answer:

20 Students

Explanation:

Let the total number of students in the class = x

Number of students that have pets = 15

Percentage of students that have pets = 75%

Therefore:

We then solve for x.

We have 20 students in total in the class.

The Solution:

Given:

We are required to determine the graphs of the given functions.

Below is the graph of the function:

Thus, the correct answer is:

So we are to find x

Answer:

15.6 MPG

Step-by-step explanation:

You start a trip when your odometer reads 23,672 miles, and you have a full tank of gas. After driving a few hours, you fill up your tank. If you buy 16.5 gallons and your odometer reads 23,927, how many miles to the gallon are you getting, rounded to the nearest tenth of a gallon.

You went 23,927 - 23,672 = 255 miles

Because you started on a full tank, you went 255 miles on 16.5 gallons

to figure MPG:

255/16.5 = 15.4545... MPG

rounded to nearest 10th of gallon:

15.6 MPG

In order to find out which of the options would be better to buy we would have to calculate the better unit price that eacho of the following options offer.

So, unit price for the offers would be:

For 4GB flash drive for $8, unit price=$8/4

unit price=$2

For 2 GB for $6, unit price=$6/2=$3

For 8 GB for $13, unit prince=$13/8=$1.625

Therefore, as the unit price of 8 GB for $13 is the lower one, then the better choice to buy would be 8 GB for $13

The word PAYMENT has 7 letters. They can be arranged in groups of 4 like shown below:

PYNT, TA

Given that she earns $8.40 an hour for mowing then for 7 hours of mowing, the amount earned

= 7 * $8.40

=$58.80

Furthermore, given that she earns $7.90 for baby sitting for an hour

Hence for mowing for 7 hours and baby sitting for 1 hour, the total amount she will earn

= $58.80 + $7.90

= $66.70

Given:

The area of the rectangular floor is, A = 8- square feet.

The length of the rectangular floor is 6 feet less than twice the width.

The objective is to find the measure of length and breadth of the floor.

Consider the width of the rectangular floor as w, then twice the width is 2w.

Since, the length is given as 6 feet less than twice the width. The length can be represented as,

The general formula of area of a rectangle is,

By substituting the values of length l and width w, we get,

On factorizinng the above equation,

On solving the above equation,

Similarly,

Since, the magnitude of a side cannot be negative. So take the value of width of the rectangle as 8 feet.

Substitute the value of w in area formula to find length l.

Hence, the width of the floor of the shed is 8 ft.

The table given showed the discrete probability distribution for random variables 3 to 6 and their corresponding probability except for the probability of 4

It should be noted that for a probability distribution, the cummulative probabibility (that is the sum of all the probability) must be equal to one.

This means that

From the given table, it can be seen that

Then, p(4) is calculated below

Hence, P(4) is 0.25

Let:

Miguel made $17.15 profit from selling 7 custom t-shirts, therefore:

Therefore, the equation that models this relationship is:

A. In order to find the equation, first we need to find the slope

m is the slope

(-4, -1)=(x1,y1)

(-9,-5)=(x2,y2)

we substitute the values

then we use the point-slope form

we substitute the values

B. in order to find the slope-intercept form we need to isolate the y

C. if the y coordinate is 7

then we isolate the x

the value of the x-coordinate is 6 when the y-coordinate is 7

Joseph has an annual salary of $24895 dollars and she get the new job that is between 28000-36000 dollars so:

the minimum will be:

and the maximun will be:

For a quadratic function in standard form,

For the polynomial f(x),

a = 2, b = -3 and c = 4

For the polynomial g(x)

a = 4, b = -6, c = 10

For the polunomial h(x),

a = 7, b = 0, c = 8

For the polynomia p(x),

a = 1, b = -10, c = 0

Given:

a.) The length of a rectangle is 2 inches more than its width.

Since the length of a rectangle is 2 inches more than its width, we can say that,

Width = W

Length = L = W + 2

Determine the width with respect to its Perimeter, we get:

Therefore, the answer is D.

The value of x from the given isosceles triangle is 8 units.

The measures of sides of triangle are given AB=4x-10, AC=5x-22 and BC=3x+2.

Isosceles triangles are those triangles that have at least two sides of equal measure and two base angles are equal.

Here, AC = BC

⇒ 5x-22 = 3x+2

⇒ 5x-3x = 22+2

⇒ 3x = 24

⇒ x = 8 units

Therefore, the value of x from the given isosceles triangle is 8 units.

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H = 1, P =2, R = 3 B = -1, C = -2, A = -3, Q = -5

Explanation:

For the first number line:

From the tick mark to the tick mark with 4, there are 4 tick marks

Distance from 0 to 4 = 4 - 0 = 4

Each tick mark = 4/4 tick marks

Each tick mark = 1

This means each tick mark increases by 1 to the right after 0 and decreases by one to the left before zero.

H, P and R are after 0

H = 0 + 1 = 1

P = 1 + 1 = 2

R = 2 + 1 = 3

B, C, A and Q are all before 0

B = 0 - 1 = -1

C = -1 - 1 = -2

A = -2 - 1 = -3

Q = -4 - 1 = -5

For the 2nd number line:

from 0 to 100, there 5 tick marks

Distance from 0 to 100 = 100 - 0 = 100

Each tick mark = 100/5 tick marks

Each tick mark = 20

This means each tick mark after zero increases by 20 to the right and decreases to the before 0 by 20.

A, L and M are after zero

Number before A is 20, increasing the number by 20

A = 20 + 20 = 40

L = 40 + 20 = 60

M = 60 + 20 = 80

J, P, T, V are before zero

Number before J = 0, decreasing by 20

J = 0 - 20 = -20

P = -20 - 20 = -40

T = -40 - 20 = -60

V = -60 - 20 = -80

Answer:

Step-by-step explanation:

30 will be the expressions that are equivalent to 9 divided by 0.3.

In general, something is considered equal if two of them are the same. Similar to this, analogous expressions in maths are those that hold true even when they appear to be distinct. However, both forms provide the same outcome when the values are entered into the formula.

An expression is equivalent even when both sides are multiplied or divided with the same non-zero value.

The expression 9 divided by 0.3 can be written as 9/0.3

The expression that will be equivalent will be determined as:

= 9/0.3

= 90/3

= 30

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Answer

a)

A' (-2, 6)

B' (7, 3)

C' (4, 0)

b)

D' (3, 3)

E' (-5, 0)

F' (2, 2)

c)

G' (3, 1)

H' (0, 4)

P' (-2, -3)

Explanation

For the coordinate (x, y)

A transformation to the right adds that number of units to the x-coordinate.

A transformation to the left subtracts that number of units from the x-coordinate.

A transformation up adds that number of units to the y-coordinate.

A transformation down subtracts that number of units from the y-coordinate.

For this question,

a) The coordinates are translated to the right by 4 units and upwards by 1 unit

That is,

(x, y) = (x + 4, y + 1)

A (-6, 5) = A' (-6 + 4, 5 + 1) = A' (-2, 6)

B (3, 2) = B' (3 + 4, 2 + 1) = B' (7, 3)

C (0, -1) = C' (0 + 4, -1 + 1) = C' (4, 0)

When a given point with coordinates P (x, y) is reflected over the y-axis, the y-coordinate remains the same and the x-coordinate takes up a negative in front of it. That is, P (x, y) changes after being reflected across the y-axis in this way

P (x, y) = P' (-x, y)

For this question,

b) The coordinates are reflected over the y-axis

D (-3, 3) = D' (3, 3)

E (5, 0) = E' (-5, 0)

F (-2, 2) = F' (2, 2)

In transforming a point (x, y) by rotating it 90 degrees clockwise, the new coordinates are given as (y, -x). That is, we change the coordinates and then add minus to the x, which is now the y-coordinate.

P (x, y) = P' (y, -x)

For this question,

c) The coordinates are rotated about (0, 0) 90 degrees clockwise.

G (-1, 3) = G' (3, 1)

H (-4, 0) = H' (0, 4)

I (3, -2) = P' (-2, -3)

Hope this Helps!!!

If we evaluate x = 10 on all the functions, we have:

and then, evaluating x = 11, we get:

notice that on x = 10, h(x) does not exceed g(x), but on x = 11, h(x) exceeds the other functions. Therefore, h will begin exceed f and g around 11

Given:

Required:

To determine whether a tangent line is shown in the given figure.

Explanation:

By the definition of tangent line, we know that tangent line is a straight line that touches the circle at one point.

Now consider the given figure, there is a tangent line in the given figure.

Final Answer:

Yes.

ANSWER

15 centimeters

EXPLANATION

First, we have to find the area of the washroom floor in square centimeters, by multiplying the area in square meters by 10,000 or, in other words, moving the decimal point 4 units to the right,

Now, we know that Mrs. Barker will use 300 square tiles, so the area of each tile must be,

Thus, if the tiles are squared, the side length of each tile is the square root of the area of each tile,

Hence, the side length of each tile is 15 cm.

We can express this question as follows:

Now, we can sum the like terms (n's) and the integers in the previous expression. Then, we have:

Then, to solve the equation for n, we need to subtract 6 to both sides of the equation, and then divide by 3 to both sides too:

Then, we have that the three consecutive even integers are:

Therefore, the least integer is 0.

Using the differential equation, the population after 30 years is 760.44.

The population P after t years obeys the differential equation:

Where P(0) = 500 is the initial condition and k is a positive constant.

Using P(0) = 500 gives 500 = Ae⁰.

Furthermore,

The population after 30 years is:

Therefore, using the differential equation, the population after 30 years is 760.44.

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Using a linear function, it is found that the monthly cost for 19 HCF is of $41.43.

A linear function, in slope-intercept format, is modeled according to the rule presented below:

y = mx + b

In which the parameters of the function are described as follows:

As stated in the problem, the slope is of 1.45, hence:

y = 1.45x + b.

The monthly cost for 22 HCF is $45.78, hence when x = 22, y = 45.78, meaning that the intercept b can be found as follows:

45.78 = 1.45(22) + b

b = 45.78 - 1.45 x 22

b = 13.88.

Then the function is:

y = 1.45x + 13.88.

And the cost for 19 HCF is given by:

y = 1.45(19) + 13.88 = $41.43.

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Recall that a function is continuous at a point if the limit as the variable approaches a value is the same as the value of the function at that point.

Now, notice that, using the definition of the function:

therefore:

Given that the limit and the value of the function at x=1 are equal, the function is continuous at x=1.

Answer: It is continuous at x=1.

Given:-

To find the distance.

So the distance formula is,

Substituting we get,

So the required distance is root 13.

Step-by-step explanation:

27/100 is the fraction of 0.27

Answer:

B

Step-by-step explanation:

[tex]m_{\overline{AB}}=\frac{4-0}{-2-2}=-1 \\ \\ m_{\overline{CD}}=\frac{-2-4}{-3-3}=1 [/tex]

Since the slopes are negative reciprocals of each other, and since they intersect, they are parallel.

If we translate y = f(x) 2 units to the right, we would have to sum and get g(x) =f(x+2).

That means the x-coordinates of g(x) are going to have 2 extra units than f(x).

Given:-

Matt and Amy each had summer jobs. Matt worked at a restaurant as a bus boy. He earned $10 per hour, plus tips. Amy worked as a dog-groomer. She earned $8 per hour, plus tips.

To find:-

An equation to represent their total earnings in each situation.