Researchers surveyed recent graduates of two different universities about their income. The following two-way
table displays data for the sample of graduates who responded to the survey.
How many graduates in the sample had an income of $40,000 and over?
graduates
Income
University A
University B
35
40
Under $20.000
$20.000 to $39.999
90
63
35
37
$40.000 and over
Report a proble
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The maximum number of 1 cubic centimeter cubes that will fit into a box with a volume of 32 cm³ is: 32 cubes.

The volume of a cube = s³, where s is the edge length of the cube.

Given the following:

Volume of 1 cube = 1 cubic centimeters

Box volume = 32 cubic centimeters

Number of cubes that will fit into the box = 32/1 = 32 cubes.

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Answer:

7/8 inch

Step-by-step explanation:

Convert 1 1/4 to improper fraction.

Convert 5/4 to a fraction with a denominator of 8.

Subtract 3/8 from 10/8

Answer:

D

Step-by-step explanation:

Quadratic formula: [tex]\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]

[tex]2x^2- 12x + 13 = 0[/tex]

[tex]x=\frac{-(-12)+-\sqrt{(-12)^2-4(2)(13)} }{2(2)}[/tex]

[tex]x=\frac{12+-\sqrt{144-104} }{4}[/tex]

[tex]x=\frac{12+-\sqrt{40} }{4}[/tex]

[tex]x=\frac{12+-2\sqrt{10}}{4}[/tex]

[tex]x=\frac{6+-\sqrt{10}}{2}[/tex]

I hope this helps!

The logarithmic function is the inverse of the exponential function

The logarithmic equivalent of the exponential function is log(12) = [tex]\frac 43[/tex]log(x) + log(y) + 2log(z)

The exponential function is given as:

12^3=x^4 y^3 z^6

Take the logarithm of both sides

log(12^3) =log(x^4 y^3 z^6)

Apply the product rule of logarithm

log(12^3) =log(x^4) + log(y^3) + log(z^6)

Apply the power rule of logarithm

3log(12) = 4log(x) + 3log(y) + 6log(z)

Divide through by 3

log(12) = [tex]\frac 43[/tex]log(x) + log(y) + 2log(z)

Hence, the logarithmic equivalent of the exponential function is log(12) = [tex]\frac 43[/tex]log(x) + log(y) + 2log(z)

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Answer:

x³²

Step-by-step explanation:

When raising exponents to another power, multiply the exponents given.

That means that:

(x⁴)⁸ = x⁽⁴⁾⁽⁸⁾ = x³²

f(x+1):-

f(-x)

LHS≠RHS

Answer:

5

Step-by-step explanation:

If it is 18 roses for 90 dollars, what is one rose worth?

90 dollars/18 roses=5 dollar per rose

Answer:

9[tex]\sqrt{2}[/tex]/2

Step-by-step explanation:

Since this is a right triangle designated by the square box in the right side, we know 2 of the angles. 45 and 90. Add these 2 angles and subract them from 180 which turns out to be 45.

We can use the law of sines to solve.

sin90/9 = sin45/x

x = 9sin45 = 6.36 = 9[tex]\sqrt{2}[/tex]/2

The value of limits and function values for a, b, c, d, e, f, g, h, i, and j are 3, -1, does not exist, 3, 1, 2, does not exist, 2 +∞, and -∞ and doesn't follow continuity conditions and its jump continuity.

A limit is a value at which a function approaches the output for the given values in mathematics. Limits are used to determine integrals, derivatives, and continuity in calculus and mathematics.

We have a graph of a function:

For [tex]\lim_{x \to -1^{-1}} f(x)[/tex]

As we can see x approaches -1 and it is a left-hand limit.

[tex]\lim_{x \to -1^{-1}} f(x) = 3[/tex]

For [tex]\lim_{x \to -1^{+1}} f(x)[/tex]

The x approaches the +1 and it is the right-hand limit.

[tex]\lim_{x \to -1^{+1}} f(x) = -1[/tex]

For [tex]\lim_{x \to -1} f(x)[/tex]

Since the left hand and right-hand limits are not the same,

[tex]\lim_{x \to -1^{+1}} f(x)[/tex]  = does not exist

From the graph:

f(-1) = 3

Similarly, we can find further values of the limits and functions value:

[tex]\lim_{x \to 2^{-1}} f(x) = 1[/tex]

[tex]\lim_{x \to 2^{+1}} f(x) = 2[/tex]

For [tex]\lim_{x \to 2^{}} f(x)[/tex]

Since the left hand and right-hand limits are not the same,

[tex]\lim_{x \to 2^{}} f(x)[/tex] = does not exist

f(2) = 2

[tex]\lim_{x \to -\infty} f(x) = +\infty[/tex]

[tex]\lim_{x \to +\infty} f(x) = -\infty[/tex]

There are three conditions a graph must follow:

1) function value defined at any given point.

2) left-hand limit and right-hand limit must be equal

3) function value at the point and limit value at the same point must be the same.

In the given function the graph doesn't follow these conditions and its jump continuity.

Thus, the value of limits and function values for a, b, c, d, e, f, g, h, i, and j are 3, -1, does not exist, 3, 1, 2, does not exist, 2 +∞, and -∞ and doesn't follow continuity conditions and its jump continuity.

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Answer: 24 square units

Step-by-step explanation:

It appears the shaded area of the rectangle is half of the rectangle's area. This means if we find the area of the rectangle and divide it by 2 we will know the area of the shaded portion.

The formula for the area of a rectangle is [tex]lw=A[/tex]

Where

l is the length (8 for this)

w is the width (6 for this)

A is the area

However, since we are finding half the area we will divide lw by 2

Sub the values into the formula

[tex]\frac{lw}{2} =A\\\frac{(8)(6)}{2} =A\\\frac{48}{2} =A\\24=A[/tex]

Answer: 1

Step-by-step explanation:

We can start by dividing both sides by 5. This gives us

[tex]6 + s = 7[/tex]

Subtracting 6 from both sides gives us

[tex]s = 7-6=1[/tex]

To check, we can put 1 back in the equation:

[tex]5(6+1) = 35[/tex]

[tex]5(7) = 35[/tex]

Since 5 * 7 is 35, 1 is the answer.

Answer:

A. 1/49, or 0.02040

Answer:

21.6 m long

Step-by-step explanation:

To do this, we find the scale factor of the fencepost and the shadow.

3/1.8 = 1.66666667

So, we know that when we take the original length and multiply it, we get the new one, so:

1.666666667 * x = 36

x being the original length. Now, we divide both sides by 1.66666667 to get x alone and find the original length.

x = 21.6

To double check, we can take the scale factor and multiply it by the original to get the shadow.

21.6 * 1.666666667 = 36

It is correct

Answer:

a) V/2 ; b) V/4

Step-by-step explanation:

a) V = πR²h

If h --> h/2 the new volume V' = πR²h/2 = V / 2

b) πR²h

If D --> D/2 then R --> R/2 and the new volume V" = π(R/2)²h = π(R)²h/4 = V/4

Answer:

yeah so you a g my guy

Step-by-step explanation:

Check the picture below.

The graph of the given linear equation, y = 1/2x + 1 (-x+2y=2), is given in the diagram attached below.

The graph of a linear equation is a straight line graph, and it is represented, in slope-intercept form as, y = mx + b, where m is the slope and b is the y-intercept of the graph.

Given the linear equation, -x+2y=2, rewrite in slope-intercept form:

-x+2y=2

2y = x + 2

y = x/2 + 2/2

y = 1/2x + 1

Thus, the graph of the linear equation is drawn as shown in the image attached below.

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Answer:

19683

Step-by-step explanation:

5 stars please

2/5 on edge

Yw and pls mark me brainiest :D

Now

Answer:

4 km

Step-by-step explanation:

How far can a person run in 15 minutes if he or she runs at an average speed of 16 km/h?

1 hours = 60 minutes

[tex]\implies \sf 16 km/h = \dfrac{16\:km/h}{60\:min}=\dfrac{4}{15} km/min[/tex]

If the person runs for 15 minutes, then:

[tex]\implies \sf total\:distance\:run=\dfrac{4}{15}\:km/min \times 15\:min=4\:km[/tex]

I recommend using guathmath

The angle of inscribed polygon m∠MNT from the triangle ABC is 45°

An inscribed polygon is a polygon whose vertices lie on the circle and the circle inscribing the polygon is known to be a circumscribed circle. But let's not forget that the circle is also inscribed in another right-angle triangle.

However, using the inscribed right angle theorem:

Supposed that a right triangle is inscribed in a circle;

From the given image, line MN is the diameter of the circle since that is the only diameter in the circle.

We know that the sum of angles in a triangle is 180°. So, if ∠T = 90°, ∠N and ∠M = x

i.e.

90° + x + x = 180°

90° + 2x = 180°

2x = 180° - 90°

2x = 90°

x = 90°

x = 45°

Therefore, we can conclude that angle m∠MNT = 45°

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Answer:

214 square inch is the area of the figure

Answer:

D

Step-by-step explanation:

by looking at the point you can see what has a slope.

it is also a decreasing slope

Answer:

C. Monitor and EKG

D. Palpitation and pulse rate

Explanation:

Correct me if I'm wrong:)

the value of x + x(x^x) when x = 2.

x + x(x^x)

by putting the value of x = 2 in the above expression we get:

2 + 2(2^2)

= 2 + 2(2 × 2)

= 2 + 2(4)

= 2 + 8

= 10

therefore, the value of x + x(x^x) when x = 2 is 10.

answer= option a

Answer is option a) = 10

have a great day

hope this helps

Answer:

109.99 $

Step-by-step explanation:

add or maybe multiply the numbers that have to do with money: 27.99 + 42 + 40

It will cost $107.74 for John to rent a car.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

John is 23 years old and rents a car for 4 days, from Thursday through Sunday.

The cost of the car rental is 27.99 with unlimited miles,

but the cost of the rental is 42% higher on Saturday and Sunday.

The company charges a $40 fee for renters younger than 25.

The total cost,

= 27.99 + 40 + 27.99 x 1.42

= $107.74

Therefore, the cost is $107.74.

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