Triangle pqr is rotated clockwise. The image is a pqr.

Given,

From the 2014-2015 to 2024-2025, the number of student enrolled in an associate degree program is projected to increase by 23.5%.

The enrollment in associate degree in 2014 is 6,600,000.

The increase and the projected number of students in an associate degree program in 2024-2025 is,

Hence, the increase and the projected number of students in an associate degree program in 2024-2025 is 1551000.

Answer:

13 in

Step-by-step explanation:

Let the hypotenuse be x. Then, by the Pythagorean theorem,

[tex](x-8)^2 + 12^2=x^2 \\ \\ x^2-16x+64+144=x^2 \\ \\ 16x=64+144 \\ \\ x=4+9 \\ \\ x=13[/tex]

Answer:

6

Step-by-step explanation:

The answer would be 6 since it would take 36 pounds of seed to plant a 6 acre field. That means you would need 6 pounds of seed for each acre since 36 ÷ 6 = 6

The absolute value of the given functions are ;

1. increasing

2. increasing

3. decreasing

4. increasing

5.  increasing

6. decreasing

7. decreasing

8. decreasing

Calculus functions called increasing and decreasing functions have f(x) values that change according to how much x rises or decreases. The behavior of growing and decreasing functions is examined using the derivative of the function f(x). If the value of f(x) grows as the value of x increases, the function is said to be increasing; conversely, if the value of f(x) decreases as the value of x increases, the function is said to be declining.

Like wise in this question we just have to find the d/dx and if it comes out positive then the function is increasing and if it is negative then it is decreasing.

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a.) A triangle is equal to 2 squares.

b.) For this triangle it is equal to 3 circles

c.)  Each star is 1 circle

"Your name" solved this by for example question a, splitting the squares on right's into two sections of 2 and 2 which helped me understand that one triangle is equal to 2 squares

Ok, so

Here we have a rectangular prism with the following measures:

-Length = 4ft

-Height = 3ft

-Width = 3ft.

Remember that the surface area of a rectangular prism can be found using:

Where "l" is the length, "w" is the width, and "h" is the height.

If we replace our values in the equation given, we got that:

Therefore, the surface area of the prism is 66 ft2.

Three patients had all the complaints.

In a finite set, the number of distinct elements is known as the cardinal number. It is written as n(A) and can be read as "the number of set elements."

Let's assume,

U is the set of patients who reported at the hospital on that day.

F is the set of patients who complained of fever.

S is the set of patients who had stomach troubles.

I is the set of injured patients.

The given data can be written as follows:

n(U) = n(F∪S∪I) = 100

n(F) = 70

n(S) = 50

n(I) = 30

n(F∩S) + n(S∩I) + n(I∩F) - 3×n(F∩S∩I) = 44

Using the cardinal number of the union of three sets formula, we get

n(F∪S∪I) = n(F) + n(S) + n(I) - n(F∩S) - n(S∩I) - n(I∩F) + n(F∩S∩I)

100 = 70 + 50 + 30 - (44 + 3×n(F∩S∩I)) + n(F∩S∩I)

100 = 150 - 44 - 2×n(F∩S∩I)

2×n(F∩S∩I) = 106 - 100 = 6

n(F∩S∩I) = 3

Therefore, 3 patients had all the complaints.

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Answer:

See below

Step-by-step explanation:

Alternate exterior angles are equal if the lines crossed by the transversal are parallel

15x + 9 = 21x - 27

9 + 27  = 21x - 15 x

x = 6 °

Based on the graph of the function shown, we can logically deduce the following:

In Mathematics, the vertical extent of a graph represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

Also, the horizontal extent of a graph represents all domain values and they are also read and written from smaller to larger numerical values, and from the left of the graph to the right.

By critically observing the graph of the given function shown above, we can reasonably infer and logically deduce the following:

In conclusion, we can reasonably infer and logically deduce that the function which this graph represents is a piecewise function.

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∵ The percentage of the saving is 35%

∵ The total money is 400

→ Multiply 35% by 400 to fin

We can evaluate the function as follows:

Then, the function evaluated in f(13) is equal to -41, f(13) = -41.

THE ONLY WAY WE CAN PROVE THAT AB IS EQUAL CD IS BY CALCULATING THE DISTANCES AND THEN COMPARING THEM.

FOR AB

[tex] = \sqrt{( {x2 - x1})^{2} + ( {y2 - y1})^{2} } \\ = \sqrt{(( {6- 2})^{2} + ( ({4 - 2})^{2} } \\ = \sqrt{( {4})^{2} +( {2})^{2} } \\ = \sqrt{16 + 4} \\ = \sqrt{20} [/tex]

THE DISTANCEAB IS GIVEN ABOVE.

NOW LET US CALCULATE DISTANCE CD

[tex] = \sqrt{ ({8 - 4)}^{2} + ({6 - 4})^{2} } \\ = \sqrt{ {(4})^{2} + ({2})^{2} } \\ = \sqrt{16 + 4} \\ = \sqrt{20} [/tex]

WE CAN SEE THAT DISTANCE AB AND DISTAMCE CD ARE EQUAL THERE SE CAN NOW SAY

AB=CD

Answer:

the pattern is that the next number in the row is obtained by adding 0.001 to the previous number

Step-by-step explanation:

Difference between consecutive numbers as you go from left to right is an increase of 0.001

So the pattern is that the next number in the row is obtained by adding 0.001 to the previous number

If the clas has 30 cups and fills individual bags with three-fourths cups then the number of bags that can be filled

= 30 / (3/4)

= 30 * 4/3

= 40

Hence 40 bags can be filled with popcorn

Answer: Ryan is correct

Step-by-step explanation:

-3 multiplied by -3 makes a positive 9. Then you need to multiply that 9 by the other -3 which makes it a negative 27.

(-3) x (-3) x (-3)

9 x -3

-27

The rate of plate motion in cm/year is equal to 3.3528 × 10⁻³ cm/year.

A conversion factor can be defined as a number that is typically used to convert (change) a number in one (1) set of units to another, either by dividing or multiplying.

Generally speaking, an appropriate conversion factor to an equal value must be used when it is necessary to perform any mathematical conversion.

Conversion:

1 mile = 5280 feet

30 miles = X feet

Cross-multiplying, we have:

X = 30 × 5280

X = 158,400 feet.

Next, we would convert the value in feet to inch and then to cm as follows:

Distance = 158,400/12 = 13,200 inches.

In centimeters (cm), we have:

1 inch = 2.54 cm

13,200 inches = Y cm

Cross-multiplying, we have:

Distance, Y = 13,200 × 2.54

Distance, Y = 33,528 cm.

Now, we can determine the rate of plate motion in cm/year:

Rate = Distance/Time

Rate = 33,528/10,000,000

Rate = 3.3528 × 10⁻³ cm/year.

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Answer:

[tex]y=x^2+6x-16[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{6 cm}\underline{Intercept form of a quadratic equation}\\\\$y=a(x-p)(x-q)$\\\\where:\\ \phantom{ww}$\bullet$ $p$ and $q$ are the $x$-intercepts. \\ \phantom{ww}$\bullet$ $a$ is some constant.\\\end{minipage}}[/tex]

Given points on the curve:

The x-intercepts of a quadratic function are the points at which the line crosses the x-axis, so when y = 0.  

Therefore, the x-intercepts of the given function are -8 and 2.  

Substitute these into the intercept formula:

[tex]\implies y=a(x-(-8))(x-2)[/tex]

[tex]\implies y=a(x+8)(x-2)[/tex]

Substitute the other given point (-6, -16) into the equation and solve for a:

[tex]\begin{aligned} y&=a(x+8)(x-2)\\\textsf{When }(-6,-16)\implies -16&=a(-6+8)(-6-2)\\-16&=a(2)(-8)\\-16&=-16a\\\implies a&=1\end{aligned}[/tex]

Therefore, the equation of the function in intercept form is:

[tex]y=(x+8)(x-2)[/tex]

Expand to standard form:

[tex]\implies y=x(x-2)+8(x-2)[/tex]

[tex]\implies y=x^2-2x+8x-16[/tex]

[tex]\implies y=x^2+6x-16[/tex]

Therefore, the quadratic function in standard form is:

[tex]\boxed{ y=x^2+6x-16}[/tex]

Answer:

I just wanted points please forgive me

Step-by-step explanation:

hvxjdfcdhd

Answer:

1. 81/16,  2. DNE(undefined),  3. 529/64

Step-by-step explanation:

[tex]1. \\8\sqrt{x} +7=16\\\\8\sqrt{x} =16-7-9\\\sqrt{x}=9/8\\x=(9/8)^2=81/64\\\\2.\\1. \\\sqrt{7x} +4-3=0\\\\\sqrt{7x} +1=0\\\sqrt{7x}=-1\\[/tex]

impossible because square root is always positive

[tex]3. \\8\sqrt{5x} -7=16\\8\sqrt{5x} =16+7=23\\\\\sqrt{5x} =23/8\\\\5x=(23/8)^2=529/64[/tex]

The values of the swimmer is 305 yards which is less than 350 yards required, thus the course is not suitable for swimmer.

For the given question;

The data of the swimming is given as;

The life guard requirement is -

To compare the requirements, convert the given values in feet to yard.

1 foot = 0.33 yards.

915 feet = 0.33×915 yards

915 feet = 305 yards

305 yards < 350 yards, not suitable.

18 feet under water.

18 feet = 0.33×18 yards

18 feet = 6 yards , suitable

Tread water at least 4 minutes > Tread water at least 2 minutes required, suitable.

As, the values of the swimmer is 305 yards which is less than 350 yards required, thus the course is not suitable for swimmer.

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The outlier for Hits in league A is 40

The outlier for Hits in league B is 260

An outlier can simply be defined as a data point that varies enormously or significantly from other recorded observations in a data set.

It occurs due to certain variability in the measurement of a data set or research.

It is known as an indicator of experimental errors.

It is also known to be the cause serious of errors in statistical analyses.

From the images shown, we have;

For Hits in league A;

The data set is; 20 - 40, 100 - 120, 120 - 140, 140 - 160, 160 - 180, 180 - 200, 200 - 220

We can see that the outlier is 40

For Hits in league B;

The data set is;  120 - 140, 140 - 160, 160 - 180, 180 - 200, 200 - 220, 240 - 260

The outlier is 260

Hence, the outliers are 40 and 260

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Answer:

600

Step-by-step explanation:

[tex]R(1)=400 \\ \\ R(2)=1000 \\ \\ R(2)-R(1)=600[/tex]

The solution to the system of equation is the point where both lines intersect and it is at (3, 0)

Given the following system of equations

x + y = 3

- 2x + y = -6

Graphically, the point where both lines intersect on the place is the solution to the given system of equation.

From equation 1, x = 3 - y

Substitute into equation 2:

- 2(3-y) + y = -6

-6 + 2y + y = -6

3y = -6 + 6

y = 0

Substitute y = 0 into any of the equation

x + y = 3

x + 0 = 3

x = 3

Hence the solution to the given system of equation is (3, 0)

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The sine is defined as the length of the opposite side divided by the length of the hypotenuse, both of which are positive. Since dividing a positive number by a positive number results in a positive number, the sine must be positive.

Also, since the hypotenuse is the longest side of the triangle, the sine is equal to some positive number less than the length of the hypotenuse being divided by the length of the hypotenuse, resulting in a number less than 1.

The square root of the product of m and n is √mn.

               [tex]\sqrt{x} = x^{1/2}[/tex]

To determine the square root of the product of m and n, find the product of m and n and raise the product to the power 1/2.

Product of m and n = mn

The square root of the product is = [tex](mn)^{1/2} = \sqrt{mn}[/tex]

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Answer:We want to use distributive property to express:

Using distributive property,

Explanation:

8 is a common factor of 40 and 56, so we can write:

as

S