The function (1) describes the height, in feet, of an object at time, in seconds, when it is launched upward from the ground at an initial speed of 112 feet per second.

a. Find the domain.
b. What does the domain mean in this context?

Answer:

4500

Step-by-step explanation:

The first digit can't be 0. so it will be a number from 1000 to 9999. That's a total of 9000 numbers (9999-1000+1=9000). Since the last digit must be an even number that is one half of the 9000 numbers which is 4500.

Answer:

If the area of a circular rose garden is 44 square meters, then we can write:

44 = πr^2

And since π is equal to  22/7, we have:

44 = 22/7(r^2)

Multiply both sides by 7/22 to cancel the 22/7:

14 = r^2

And finally, we see that the radius of the garden is:

[tex]\sqrt{14}[/tex]

Let me know if this helps!

Answer:

r = sqrt(14)

Step-by-step explanation:

The area of a circle is

A = pi r^2

44 = 22/7 * r^2

Multiply each side by 7/22

44 * 7/22 = 22/7 * 7/22 r^2

14 = r^2

Take the square root of each side

±sqrt(14) = r

The radius must be a positive length

r = sqrt(14)

Answer:

D

Step-by-step explanation:

Simply because 25 is divisible by 5.

Answer:

The additive inverse of -61 is 61. For additive inverse just reverse the sign.

Answer:

It's 5 which is A.

Step-by-step explanation:

12= 1*5^1+2*5^0

5+2

7

34=3*5^1+4*5^0

15+4

19

42=4*5^1+2*5^0

20+2

22

120=1*5^2+2*5^1+0*5^0

25+10+0

35

213=2*5^2+1*5^1+3*5^0

100+5+3

108

430=4*5^2+3*5^1+0*5^0

400+15+0

415

quinary

Answer:

c = 12

Step-by-step explanation:

i'm Attaching the work

Answer:

True

Step-by-step explanation:

We actually can use Sine, Cos, or Tangent to solve for the angles, which would give the angle, but graphing it came up with an Obtuse Scalene triangle.

Answer:

total number of marble=22

probability of picking 1 blue marble= 1/22

=45×10^-2

probability of getting a green ball= 5/21

= 238×10^-3

Answer:

x^2-12x+31

Step-by-step explanation:

Standard form of the quadratic equation (x-6)^2-5 is x^2-12x+36-5=x^2-12x+31

Let assume hours be x.

1 hour = 60 minutes

x hour = 330 minutes

[tex] \bf \large \rightarrow \: \: \frac{1}{60} \: \times \: \frac{x}{330} \: \: \: \small\rm({\red{ Cross \: \: Multiplying }}) \\ [/tex]

[tex]\bf \large \rightarrow \: \: 60x \: = \: 330[/tex]

[tex]\bf \large \rightarrow \: \: x \: = \: \cancel \frac{330}{60} \: = \: 5.5 \\ [/tex]

Total hours in a day is 5.5

The average American student is in class 5.5 hours a day.

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

We have to given that;

The average American student is in class 330 minutes a day.

We know that;

⇒ 1 hours = 60 minutes

⇒ 1 minute = 1/60 hours

Hence, We can change the unit as;

⇒ 330 minutes = 330 / 60 hours

                        = 5.5 hours

Thus, It is equal to 5.5 hours.

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Answer:

x=10

y=-9

Step-by-step explanation:

eqn 2-1

-1x+10=0

x=10

in eqn 1

y=-2 ×10+11

-20+11

-9

Answer:

0.4

Step-by-step explanation:

Fraction =2/5

In decimal =0.4

Answer:

A

Step-by-step explanation:

for a function there is only 1 output value for every input and the first option is the only one which meets that requirement

Answer:

Does the answer help you?

Answer:

6/(x + 4)(x - 2)

Step-by-step explanation:

(12x - 96)/(x² - 4x - 32) ÷ (6x² - 6x - 12)/(3x + 3)

12x - 96 = 12(x - 8)

x² - 4x - 32 = (x - 8)(x + 4)

(12x - 96)/(x² - 4x - 32) = 12/(x + 4)

6x² - 6x - 12 = (3x + 3)(2x - 4)

(6x² - 6x - 12)/(3x + 3) = 2x - 4 = 2(x - 2)

(12x - 96)/(x² - 4x - 32) ÷ (6x² - 6x - 12)/(3x + 3) = 12/(x + 4) ÷ 2(x - 2) = 12/(x + 4) × 1/2(x - 2) = 6/(x+4)(x-2)

Answer:

5/3

Step-by-step explanation:

1) The denominator will be multiply to the whole number to find the improper fraction. 3 (denominator) x 1 (whole number)

2) 1 plus 2 (numerator) equal 5

3) Always keep the denominator (3) for you improper fraction.

4) 5 will be the numerator and 3 will be the denominator.

5/3

Answer:

d=1, r=4/3

Step-by-step explanation:

For aritmetic sequence

a1=9

a1+3d=a4    9+3d=a4.

a1+7d=a8    9+7d=a8.

For geometric sequence

b1*r=b2

b2=a4, b1=a1=9

9*r=a4

b3= b1*r^2

b3=a8

a8=9*r^2

So 9+3d=a4

9+3d=9r

9+7d= a8=9r^2

So we have a system of equations

9+3d=9r

9+7d=9r^2

Multiply 9+3d=9r by -7 It is equal to -63-21d=-63r

And multiply 9+7d=9r^2 by 3. It is equal to 27+21d=27r^2

Then add them

-63-21d+ (27+21d)= -63r+27r^2

-36+63r-27r^2=0 /9

-4+7r-3r^2=0

3r^2-7r+4=0

r=1 r=4/3

If r=1 9+3d=9

d=0 (It is not right, d isn't equal to 0)

If r=4/3

9+3d= 9*4/3

9+3d=12

d=1

The value of the common difference,  d is 9

The value of the common ratio r is 2

The nth term of an arithmetic sequence is:

[tex]T_n=a+(n-1)d[/tex]

The first, fourth, and eighth terms are therefore:

a,  a + 3d,  a + 7d

The nth term of a geometric sequence is:

[tex]T_n=ar^{n-1}[/tex]

The first three terms of the arithmetic sequence are:

[tex]a, ar^2, ar^3[/tex]

For both sequences, the first term is 9

That is, a = 9

[tex]a+3d=ar^2\\\\9+3d=9r^2..............(1)\\\\a+7d=ar^3\\\\9+7d=9r^3..........(2)[/tex]

Make d the subject of the formula in equation (1) and substitute to equation (2)

[tex]d=\frac{9r^2-9}{3} \\\\d=3r^2-3[/tex]

Substitute equation (3) into equation (2)

[tex]9+7(3r^2-3)=9r^3\\\\9+21r^2-21=9r^3\\\\21r^2-9r^3=12\\\\7r^2-3r^3=4\\\\r=1, \frac{-2}{3}, 2[/tex]

Substitute r = 2 into (1)

[tex]9+3d=9(2^2)\\\\d = 9[/tex]

The value of the common difference,  d is 9

The value of the common ratio r is 2

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Answer:

9/8 or 1.125

Step-by-step explanation:

We want to find the area of a rectangular postage stamp

The area of a rectangle can be found by multiplying the length by the width

Given length: 3/2

Given width: 3/4

Area = 3/2 * 3/4 = 9/8 or 1.125

The area of a 2D form is the amount of space within its perimeter. The area of the stamp in square inches is 1 1/8 inches².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Given that a rectangular postage stamp has a length of 3/2 inches and a width of 3/4 inch. Therefore, the area of the stamp in square inches is,

Area of the stamp = Length × Width

                              = 3/2 inches × 3/4 inches

                              = 9/8 inches²

                              = 1 1/8 inches²

Hence, the area of the stamp in square inches is 1 1/8 inches².

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Answer:

2√5

Step-by-step explanation:

hypotenuse of the second triangle = √(9²-5²)

= 2√14

so,

x = √{(2√14)²-6²}

= 2√5

Answer:

2sqrt(5)

Step-by-step explanation:

The left triangle is a right triangle so we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs  and c is the hypotenuse

5^2 + b^2 = 9^2

b^2 = 9^2 - 5^2

b^2 = 81-25

b^2 =56

Taking the square root of each side

b = sqrt(56) = sqrt(4*14) = 2 sqrt(14)

The right side is also a right triangle so we can  use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs  and c is the hypotenuse

x^2 + 6^2 = (sqrt(56))^2

x^2 +36 = 56

x^2 = 56-36

x^2 = 20

Taking the square root

sqrt(x^2) = sqrt(20) = sqrt(4*5) = 2sqrt(5)

Answer:

3x³ + 16x² + 12x - 16

Step-by-step explanation:

(x - -4)(3x² + 4x - 4)

(x + 4) (3x² + 4x - 4)

3x³ + 4x² - 4x + 12x² + 16x - 16

3x³ + 4x² + 12x² - 4x + 16x - 16

3x³ + 16x² + 12x - 16

Answer:

2000 milligrams —> 2 grams

6000 milligrams —> 6 grams

7000 milligrams —> 7 grams

10000 milligrams —> 10 grams

I hope I helped you^_^

Step-by-step explanation:

Let SP1 be x

P%=10%

CP=SP×100/100+%P

= x+100/100+10

= 100x/110

SP2= x+55

CP= SP×100/100+%P

or 100x/110= x+55×100/120

or x/110=x+55/120

or 24x-22x=22×55

or 2x=1210

or x=1210/2

or x=605

Now,

CP=100x/110

=100×605/110

=60500/110

=Rs 550

Answer:

D

Step-by-step explanation:

The correct option is the Car stops at a distance away from the starting point because the portion shows a constant function away from the starting point.

From the graph we can tell that the distance of the car is a function and it's a line

Answered by G a u t h m a t h

Answer:

B. -2

Step-by-step explanation:

Slope (m) =  

ΔY

ΔX

=  

-2

1

= -2

θ =  

arctan( ΔY ) + 360°

ΔX

= 296.56505117708°

ΔX = 3 – 0 = 3

ΔY = -2 – 4 = -6

Distance (d) = √ΔX2 + ΔY2 = √45 = 6.7082039324994

Answer from Gauth math

Answer:

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Answer:   1.4

Work Shown:

42 cupcakes : 30 minutes

42/30 cupcakes : 30/30 minutes

1.4 cupcakes : 1 minute

The unit rate is 1.4 cupcakes per minute. This assumes that the rate is kept the same.

Answer:

Does the answer help you?

Answer:

2 and 3

Step-by-step explanation:

In equation 3, if you move the 3x to the other side, 5y = -1 + 3x then it's would be the same as equation 2