What is the range of the function?
all real numbers less than or equal to 4
all real numbers less than or equal to -3
all real numbers greater than or equal to 4
all real numbers greater than or equal to -3
10X

Answer:

  see below

Step-by-step explanation:

You don't even need to do any math for this one.

All of the other figures will fit inside the first figure with space left over. Obviously, the first figure has the greatest volume.

The Cube is the diagram with the greatest volume which is 64 inch³.

The volume of a solid body represents the space occupied by the body.

For example:

Volume of Cube = (side)³

Volume of Sphere = 4/3  π (radius)³

Volume of Cylinder = π (radius)² (height)

Volume of Cone = ⅓ pi (radius)² (height)

We will just put the value of radius, side, and height in the formula of the Volume of the corresponding diagrams.

Volume of the given Cube = (4)³ = 64 inch³

Volume of the given sphere = 4/3 π (2)³ = 8(4/3)π = 33.51  inch³

as the radius of the sphere is 2 inches, because the diameter of the sphere is 4 inches.

Volume of the given Cylinder =  π (2)² (4) =50.26 inch³

as the radius of the Cylinder is 2 inches, because the diameter of the Cylinder is 4 inches.

Volume of the given Cone = ⅓ π (2)² (4) = 16.76  inch³

as the radius of the Cone is 2 inches, because the diameter of the Cone is 4 inches.

Thus, we come to the conclusion that the Cube is the diagram with the greatest volume which is 64 inch³.

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Answer:

The probability that at most three used the emergency room for a sample of 10 people is 0.8791.

Step-by-step explanation:

The random  variable X can be defined as the number of people in a community using the emergency room.

The probability that a person uses the emergency room is, p = 0.20.

A sample of n = 10 people are selected.

A person using the emergency room is independent of others.

The random variable X thus follows a Binomial distribution with parameters n = 10 and p = 0.20.

The probability mass function of X is provided as follows:

[tex]P(X=x)={10\choose x}\ (0.20)^{x}\ (1-0.20)^{10-x};\ x=0,1,2,3...[/tex]

Compute the probability that at most three used the emergency room as follows:

P (X ≤ 3) = P (X = 0) + P (X = 1) + P (X = 2) + P (X = 3)

             [tex]=\sum\limits^{3}_{x=0}{{10\choose x}\ (0.20)^{x}\ (1-0.20)^{10-x}}\\\\=0.10737+0.26844+0.30199+0.20133\\\\=0.87913\\\\\approx 0.8791[/tex]

Thus, the probability that at most three used the emergency room for a sample of 10 people is 0.8791.

Answer:

8

Step-by-step explanation:

6/3 + 2 x 3

6/3 + 6

2 + 6=8

Answer:

[tex]2/3[/tex]

Step-by-step explanation:

[tex]\frac{6}{3x}[/tex]

[tex]\frac{6}{3(3)}[/tex]

[tex]\frac{6}{9} =\frac{2}{3}[/tex]

Step-by-step explanation:

75 ÷ 2/3 = 12.5

This is the correct answer

Answer:

The answer is 225/2 or 112 1/2 or 112.5

Step-by-step explanation:

When a number is divided by a fraction, you have to convert it into multiply by making the fraction upside down :

[tex]75 \div \frac{2}{3} [/tex]

[tex] = 75 \times \frac{3}{2} [/tex]

[tex] = \frac{75 \times 3}{2} [/tex]

[tex] = \frac{225}{2} [/tex]

[tex] = 112 \frac{1}{2} \: or \: 112.5[/tex]

Answer:

134 - 85 = a

a = 49

Step-by-step explanation:

The sum of the two angles is 134

a+ 85 = 134

134 - 85 = a

49 =a

Answer:

Median. It has the highest grade.

Step-by-step explanation:

Mean: 92.5

Median: 93

Mode: no  mode (all numbers occur only once)

Range: range is 11 (this would be a terrible grade)

Because the median has the highest grade, you would want to pick it.

If you want/ need me to show work or explain just let me know

Also, if my answer helps please consider giving me brainliest.

Answer:

167

Step-by-step explanation:

Answer:

6 feet.

Step-by-step explanation:

Dimensions of the Pool =80 feet long by 20 feet wide

Area of the walkway =1344 square feet.

If the width of the walkway=w

Area of the Walkway =Area of the Larger Rectangle - Area of the Pool

[tex]1344=(80+2w)(20+2w)-(80*20)\\1344=80*20+160w+40w+4w^2-80*20\\4w^2+200w=1344\\4w^2+200w-1344=0\\We factorize\\4(w^2+50w-336)=0\\4(w^2-6w+56w-336)=0\\w(w-6)+56(w-6)=0\\(w-6)(w+56)=0\\w-6=0$ or $ w+56=0\\w=6$ ft or $ w=-56$ \\Therefore, the width of the walkway , w=6 feet.[/tex]

Answer:

Step-by-step explanation:

the circumference of a circle = Diameter × π

in other words ,the ratio of the circumference of a circle to its diameter is π

and we know that π = 3.14159265358979...

if we round it to the hundredth we get 3.14

Answer: y=-3x-4

Step-by-step explanation:

Since we know slope, we can plug it into slope-intercept form to find the y-intercept by using the given points,

y=-3x+b

8=-3(-4)+b

8=12+b

b=-4

Now that we know the y-intercept, we can complete the slope-intercept form.

y=-3x-4

Answer:

  b1 = (28/h) -b2

Step-by-step explanation:

Filling in the given value for A, you have ...

  14 = (1/2)(b1 +b2)h

Multiply by 2/h:

  28/h = b1 +b2

Subtract b2:

  b1 = (28/h) -b2

Answer:

5.7

Step-by-step explanation:

The altitude of a right triangle divides it into two smaller triangles, all three of which are similar.

ΔABC ~ ΔADB ~ ΔBDC

Writing and solving a proportion:

AD / BD = BD / CD

(x + 3) / 5 = 5 / (2x + 3)

(x + 3) (2x + 3) = 25

2x² + 9x + 9 = 25

2x² + 9x − 16 = 0

x = [ -9 ± √(81 − 4(2)(-16)) ] / 2(2)

x = [ -9 ± √(81 + 128) ] / 4

x = (-9 ± √209) / 4

x = -5.86 or 1.36

Since x can't be -5.86, x = 1.36.  So the length of CD is:

CD = 2(1.36) + 3

CD = 5.7

Answer:

cost = c*d

Step-by-step explanation:

Unless the cost is calculated by the time (hours) or mileage, we can use the number of days in the calculation.

Everyday is one unit of c, so c times the number of days it is used gives us the cost. Simply multiply the number of days by cost per day to get the total cost.

Answer:

[tex]\frac{(x-30)^{2}}{40^{2}} - \frac{(y+15)^{2}}{3^{2}} = 1[/tex]

Step-by-step explanation:

The equation of the horizontal hyperbola in standard form is:

[tex]\frac{(x-k)^{2}}{a^{2}} - \frac{(y-k)^{2}}{b^{2}} = 1[/tex]

The position of its center is:

[tex]C(x,y) = \left(\frac{-10 + 70}{2}, -15 \right)[/tex]

[tex]C(x, y) = (30,-15)[/tex]

The values for c and a are respectively:

[tex]a = 70 - 30[/tex]

[tex]a = 40[/tex]

[tex]c = 30 - (-11)[/tex]

[tex]c = 41[/tex]

The remaining variable is computed from the following Pythagorean identity:

[tex]c ^{2} = a^{2} + b^{2}[/tex]

[tex]b = \sqrt{c^{2}-a^{2}}[/tex]

[tex]b = \sqrt{41^{2}-40^{2}}[/tex]

[tex]b = 3[/tex]

Now, the equation of the hyperbola is:

[tex]\frac{(x-30)^{2}}{40^{2}} - \frac{(y+15)^{2}}{3^{2}} = 1[/tex]

Answer:

The above answer is correct but the 3 should be a 9

Step-by-step explanation:

Plato

Answer:

The net of a triangular pyramid with an equilateral triangle for the base consists of four triangles, and at least three of them are congruent to each other.

Step-by-step explanation:

Answer:

-4<X<6

Step-by-step explanation:

Let the number be X

Hence -4<X<6

Answer:

C. 271.44 [tex]mm^3[/tex]

Step-by-step explanation:

We need to first find the volume of the pipe, then find the volume of the hole and then subtract the volume of the hole from the volume of the pipe.

The diameter of the pipe is 8.4 mm. This means its radius is:

8.4/2 = 4.2 mm

The height of the pipe is 10 mm

The volume of a cylinder is given as:

[tex]V = \pi r^2h[/tex]

where r = radius

h - height

Therefore, the volume of the cylinder  without the hole is:

[tex]V = \pi * 4.2^2 * 10\\\\V = 554.18 mm^3[/tex]

The diameter of the hole is 6 mm. Its radius is:

6/2 = 3 mm

The volume of the hole is:

[tex]V = \pi * 3^2 * 10\\\\V = 282.74 mm^3[/tex]

The volume is:

554.18 - 282.74 = 271.44 [tex]mm^3[/tex]

Answer:

B. 271.3 [tex]mm^{3}[/tex]

Step-by-step explanation:

Volume of the outer cylinder minus the volume of the inner cylinder returns the volume of the metal outer ring that surrounds the hole.

Answer:

Critical value t-score=2.701.

Step-by-step explanation:

When we calculate a confidence interval with an unknown population standard deviation, we estimate it from the sample standard deviation and use the t-score instead of the z-score.

The critical value for t depends on the level of confidence and the degrees of freedom.

If the sample size is 42, the degrees of freedom are:

[tex]df=n-1=42-1=41[/tex]

For a confidence level of 99% and 41 degrees of freedom, the critical value of t is t=2.701.

[tex]4!=4\times3\times2\times1=24\\3!=3\times2\times1=6\\2!=2\times1\\1!=1\\0!=?[/tex]

Notice that when we go from 4! to 3! , we divide by 4.

(Because [tex]4!\div 4 = 4\times3\times2\times1\div4=3\times2\times1=3![/tex]  the 4's cancel)

And when we go from 3! to 2! , we divide by 3, and etc.

We can use this pattern to see why 0! = 1.

[tex]4!=4\times3\times2\times1=24\\3! = 4!\div4=24\div4=6\\2!=3!\div3=6\div3=2\\1!=2!\div2=2\div2=1\\0!=1!\div1=1\div1=1[/tex]

And so by following the pattern, we determine that 0! = 1

-------------------------------

Note:

There are no factorials of negative numbers, and we can use the pattern to show why:

[tex]0!=1\\-1!=0!\div0=1\div0=???!!??!?[/tex]

You can't divide a number by 0, therefore -1! doesn't exist, so -2! doesn't exist and so on. So you can't do the factorial of any negative number.

(Or at least there no real solutions to negative factorials)

------------------------

Answer:

x=18.9

Step-by-step explanation:

Answer:

AB = 4.41

Step-by-step explanation:

→You are given the adjacent side and need to find the hypotenuse. For this, we use cos.

→Set it up, like so:

[tex]cos25=\frac{4}{x}[/tex]

→To get rid of the x in the denominator, multiply everything by x:

[tex]x(cos25=\frac{4}{x})[/tex]

[tex]xcos25 = 4[/tex]

→Divide both sides by cos25:

x = 4.413

→Round to nearest hundredth:

x = 4.41

Answer:

the third option

Step-by-step explanation:

the union of two sets of numbers just has to show all the numbers that are in the two sets, meaning if both sets have the same number, it is only shown once in the union

Answer:

Step-by-step explanation:

1 km= 1000m

1.5 km = 1 x 1000 + 500

1000 + 500

1500m

1500 m : 250 m

750 m : 125 m

150 m : 25 m

30 m : 5 m

6 m : 1m

0.0

Answer:

4 answer

Step-by-step explanation:

The quotient 1 / (1 + √3) is (- 1 +√3) / 2.

Option D is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

1 / (1 +√3)

Rationalize the denominator.

1 / (1 +√3) x (1 -√3) / (1 -√3)

{ a² - b² = (a + b) (a - b) ]

(1 -√3) / (1 - 3)

(1 -√3) / -2

-(1 -√3) / 2

(- 1 +√3) / 2

Thus,

The final expression is (- 1 +√3) / 2

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Answer:

72

Step-by-step explanation:

The question is incomplete:

The cost of a parking permit consists of a one-time administration fee plus a monthly fee. A permit purchased for 12 months costs $660. A permit purchased for 15 months costs $810.

What is the administration fee?

Answer:

$60

Step-by-step explanation:

To calculate the administration fee, first you have to calculate the difference between the two permits and divide that by the month difference that is: 15-12= 3 to know the cost of the monthly fee:

$810-$660= 150

$150/3= $50

Now, you can multiply the monthly fee for 12 to know the total cost of the monthly fee for 12 months and then, subtract this from the cost of a permit purchased for 12 months to find the cost of the one-time administration fee:

$50*12= $600

$660-$600= $60

According to this, the administration fee is $60.

Answer:

C= -5.3

Hope this helps!

Brainliest?

Answer:

C = -5.3

Step-by-step explanation:

C+9=3.7

Subtract 9 from both sides

C+9-9=3.7-9

Simplify

C = -5.3

Answer:

She needs $6,949.65 in the account today.

Step-by-step explanation:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

In this question:

She needs $9,000 in 3 years, so [tex]t = 3, A(t) = A(3) = 9000[/tex]

9% annual interest, so [tex]r = 0.09[/tex]

1 compounding, so [tex]n = 1[/tex]

How much money needs to be in the account today so she will have enough to pay for the repairs

We need to find P.

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]9000 = P(1 + \frac{0.09}{1})^{1*3}[/tex]

[tex]P(1.09)^{3} = 9000[/tex]

[tex]P = \frac{9000}{(1.09)^{3}}[/tex]

[tex]P = 6949.65[/tex]

She needs $6,949.65 in the account today.

Answer:

28

Step-by-step explanation:

To solve this, I would first add up the total of the numbers in the ratio.

9 + 7 + 2 = 18

Then, I would divide 72 by that number.

72/18 = 4.

Finally, I would multiply that quotient by 7 because 7 is the number in the ratio for B's.

4 x 7 = 28