Entertainment For a scene in a movie, a sack of money is dropped from the roof
of a 600-foot skyscraper. The height of the sack above the ground in feet is given by h = -16t2 + 600, where t is the time in seconds. How long will it take the sack to reach the ground?
Round to the nearest tenth of a second.

​

The radius of the ring is 1 meter.

Given a ring of fire has a diameter of 2 meters for which a leopard has been trained to jump through.

As we know that in a circle that has a diameter 'd', the radius 'r' is equal to half of the diameter. This means,

[tex]r = \frac{d}{2}[/tex]

Also, the perimeter of this circle is given by

[tex]2\pi r[/tex]

Now,

As given in the question, we have,

The diameter of the ring of fire = 2 meters

So,

The radius of a ring of fire

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

[tex]= 1 meter[/tex]

Hence, the radius of the ring of fire is 1 meter.

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The radius of a circle with a diameter of 2 meters is 1 meter. The radius is found by dividing the diameter by two.

The question pertains to determining the radius of a circle when the diameter is given. The ring through which a leopard jumps in the circus has a diameter of 2 meters.

The formula for the diameter of a circle is d = 2r, where d is the diameter and r is the radius of the circle. To find the radius, we simply divide the diameter by 2.

Therefore, the radius of the ring is 1 meter, as r = d / 2 and thus, r = 2 meters / 2.

Answer:

Drinks = 6.75

Popcorn= 1

Step-by-step explanation:

Let the popcorn = P

Let the drink = D

2*P + 3*D = 22.25         multiply this equation by 6

12*P + 4D = 39.00

12P + 18D = 133.5          Subtract these two equations

- 14D = - 94.50               Divide by -14

-14D/-14 = -94.5/-14        Do the division

D = 6.75

=========================

12P  +  4D = 39            Substitute for D

12P + 4*6.75 = 39        Combine

12P + 27 = 39               Subtract 27 from both sides

12P + 27-27=39-27      Collect like terms

12P = 12                        Divide by 12

12P/12 = 12/12

P = 1                               Answer

Answer:

Step-by-step explanation:

Answer:

it is already fikled ok

Step-by-step explanation:

Answer:

[tex]\large\boxed{(f+g)(x)=x^2+3x-3}[/tex]

Step-by-step explanation:

[tex](f+g)(x)=f(x)+g(x)\\\\f(x)=3x-5,\ g(x)=x^2+2\\\\\text{Substitute:}\\\\(f+g)(x)=(3x-5)+(x^2+2)=3x-5+x^2+2=x^2+3x+(-5+2)=x^2+3x-3[/tex]

Final answer:

To find (f+g)(x) for the given functions f(x)=3x-5 and g(x)=x²+2, you simply add the two functions to get (f+g)(x) = x²+ 3x - 3.

Explanation:

Adding Functions f(x) and g(x)

To find (f+g)(x), you simply need to add the values of f(x) and g(x) together for any value of x. Given that f(x)=3x-5 and g(x)=x²+2, the sum (f+g)(x) is obtained as follows:

Take the expression for f(x) and g(x):

f(x) = 3x - 5

g(x) = x² + 2

Add the two expressions together:

(f+g)(x) = f(x) + g(x)

(f+g)(x) = (3x - 5) + (x² + 2)

Combine like terms:

(f+g)(x) = x² + 3x - 3

The resulting function (f+g)(x) = x² + 3x - 3 is the sum of the two functions f(x) and g(x).

Answer:

12

Step-by-step explanation:

The correct answer is 12

Answer:

TRUE

Step-by-step explanation:

The center is visible

Answer:

it would depend on how big the circle would have to be in this case it would be true I believe

Step-by-step explanation:

if triangles are similar then corresponding internal angles are equal

=》 x = 180-(50+60) = 70degrees

The measure of angle x is the same as the measure of angle c which is,

x = 70°

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know triangles that are similar to each other have equal measures of corresponding angles.

Given, ΔABC ≈ ΔEDF,

Therefore, m∠B = m∠E = 50° and m∠D = m∠A = 60.

So, The measure of angle x is,

x = 180 - 50 - 60. (sum of interior angles equals 180°)

x = 180 - 110.

x = 70°.

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2x-10=2. (Answer=6)

2x=12 (you move the -10 to the other side of the equation to make it positive)

Then you divide by 2

2x divided by 2 equals x 12 divided by 2 is 6

So your number is 6. x=6

And you can check this by redoing the equation but putting 6 instead of x

2(6)-10=2

12-10=2

2=2

This equation is true therefore, your unknown number is 6

Final answer:

The problem is solved by setting up an equation where the larger number (2x) is diminished by 10 equals the smaller number (x) plus 2. Solving for x reveals that the smaller number is 12 and the larger number is therefore 24.

Explanation:

Let's denote the smaller number as x and the larger number as 2x since one number is twice another number. The problem states that if the larger number is diminished by 10, the result, which is 2x - 10, is 2 more than the smaller number. Therefore, we can write the equation:

2x - 10 = x + 2.

To solve for x, we first add 10 to both sides of the equation:

2x = x + 12.

Then, we subtract x from both sides:

x = 12.

Now that we know the smaller number is 12, the larger number is twice that, which means the larger number is 24.

In conclusion, the two numbers in question are 12 and 24.

[tex] \frac{8}{7} = 114\%[/tex]

A faction who's numerator is larger than it's denominator will always produce an equivalent percentage larger than 100%

Answer:

[tex]y+6=-4(x+2)[/tex]

Step-by-step explanation:

Perpendicular lines are lines which have negative reciprocal slopes. The slope of the equation is 1/4. This means the perpendicular slope is -4. Substitute m = 4 and (-2,-6) into the point slope formula.

[tex]y - y_1 = m(x-x_1)\\y --6=-4(x--2)\\y+6=-4(x+2)[/tex]

Answer:

(1/2, ∞ ).  This corresponds to Answer B

Step-by-step explanation:

Important:  enclose that negative exponent (-2/3) inside parentheses:

1/3e^(x- 2/3) + 1/2

and also that coefficient, 1/3:

(1/3)e^(x- 2/3) + 1/2

The range of the exponential function y = e^x is (0, ∞ ); that is, y is always positive, never zero or negative.  

The function of that "1/2" is to shift the entire graph 1/2 unit up.

Thus, the range   (0, ∞ )  becomes  (1/2, ∞ ).  This corresponds to Answer B.

Answer:

Answer is B for plato or edmentum

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

given

x + 4 > - 8 ( subtract 4 from both sides )

x > - 12 ← solution

The step to use is subtract 4 from both sides

The value of x is -12

x + 4 > -8

Subtract 4 from both sides

x + 4 -4 > -8 -4

x > -12

I am pretty sure it is x^2 - 37x

but i am not completely sure

let x=length

let y=width

x/y=5/2

y=2x/5

area=length*width

area=x*y=x(2x/5)=2x^2/5

2x^2/5=360

2x^2=1800

x^2=900

x=30

y=60/5=12

length= 30 inches

width= 12 inches

there you go!

The dimensions of the rectangle are 20 inches in length and 8 inches in width.

The rectangle has an area of 160 square inches, and the length ratio to the width is 5:2. Let's denote the length as 5x and the width as 2x. The equation for the area of a rectangle is width * length, so we set up and solve the following equations:

Then, we multiply 'x' with the respective parts of the ratio (5 and 2) to find the length and width:

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Answer:

B  1/3

Step-by-step explanation:

3^-3 * 3^8

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

3^6

We know that a^b * a^c = a^(b+c)

3^(-3+8)

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

3^6

3^(5)

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

3^6

We know that a^b divide by a^c = a^(b-c)

3^(5-6)

3^-1

A negative exponent means it goes in the denominator of the fraction

1/3^1

1/3

Answer:

the printer prints 8.5 pgs per minute

Step-by-step explanation:

34 ÷ 4 = 8.5

There are 3.4 pages does it print per minutes.

The unitary method is a fundamental concept of Mathematics and makes it convenient to solve various sums.

Let, x be the number of prints print per minute.

A printer prints 34 pages in 4 minutes. How many pages does it print per minutes?

The number of pages prints per minute is given by;

[tex]\rm Per \ minute \ print \ Pages=\dfrac{Total \ number \ of \ print \ pages}{Print \ in \ minutes}\\\\ Per \ minute \ print \ Pages=\dfrac{34}{4}\\\\ Per \ minute \ print \ Pages=8.5[/tex]

Hence, there are 3.4 pages does it print per minutes.

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Answer:

8

Step-by-step explanation:

2+6+8+12+12 is 40 divide that by 5 and it gives you 8

The original area of the garden is 1,000 square feet. When the garden is reduced to 2/5 of its original size, the new area becomes 400 square feet. Therefore, the scale of the new drawing is 2:5.

The original area of the rectangular garden is 100 feet by 10 feet which equals 1,000 square feet. Next season, the garden is decreased to 2/5 of its size. To find the new area of the garden, you multiply the original area by 2/5.

1,000 square feet * 2/5 = 400 square feet.

Therefore, the size of the garden is reduced to 400 square feet which reflects a scale of 2:5 (2 represents the new size, 5 represents the original size) in the new drawing.

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The scale of the new drawing after the garden is decreased to 2/5 of its original size is 2/5.

In this problem, we are given the dimensions of a rectangular garden: 100 feet by 10 feet. We need to find the scale of the new drawing after the garden is decreased to 2/5 of its original size.

To find the scale, we can use the proportionality of the areas to the squares of the distances. The original area of the garden is 100 feet * 10 feet = 1000 square feet.

When the garden is decreased to 2/5 of its original size, the new area becomes 1000 square feet * 2/5 = 400 square feet.

In terms of the scale, the new area is 400 square feet, which is 2/5 of the original area. Therefore, the scale is 2/5.

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Answer:

Option B:  g(x) = −5x + 8

Step-by-step explanation:

If we have a function f(x) and wish to make a function g (x) that is equal to the reflection of the function f(x) on the y-axis, then we must make the following transformation to f(x):

[tex]g(x) = f(-x)[/tex]

In this case:

[tex]f(x) = 5x +8[/tex].

So when applying the transformation we obtain:

[tex]g(x) = f(-x) = 5(-x) + 8[/tex]

Finally we have that

[tex]g(x) = -5x +8[/tex]

Answer:

Your answer would be: B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A, because just read the three letters in any order but with the origin in the middle

Answer:

B. 990<s<1,850

seal dive, s is greater than 990ft and less than 1850 ft

=》 990<s<1850

Answer:

D

Step-by-step explanation:

The horizontal asymptote is found by considering the ratio of the coefficients of the highest degree terms on the numerator and denominator, that is

coefficient of 6x² on the numerator ⇒ 6

coefficient of 9x³ on the denominator ⇒ 9

The horizontal asymptote is

y = [tex]\frac{6}{9}[/tex] ⇒ y = [tex]\frac{2}{3}[/tex] → D

Some factoring lets us write

[tex]a^{2b}-\dfrac1{a^b}=a^{2b}-a^{-b}=a^{-b}(a^{3b}-1)[/tex]

Then

[tex]8a^{3b}=1\implies a^{3b}=\dfrac18[/tex]

[tex]a^{2b}-\dfrac1{a^b}=a^{-b}\left(\dfrac18-1\right)=-\dfrac78a^{-b}=-\dfrac7{8a^b}[/tex]

Taking the cube root to solve for [tex]b[/tex], we find

[tex]\sqrt[3]{a^{3b}}=\sqrt[3]{\dfrac18}\implies a^b=\dfrac12[/tex]

so ultimately

[tex]a^{2b}-\dfrac1{a^b}=-\dfrac7{8\cdot\frac12}=-\dfrac74[/tex]

Answer:

The value of the given expression is    1 - 1 = 0

Step-by-step explanation:

8a^{3b} = 1   can be rewritten as (8a³)^b = 1 = (8a³)^0, which indicates that b = 0.  If b= 0, then 2b = 2(0) = 0.

Then a^(2b) = a^0 = 1, and 1/a^b = 1/1 = 1.

Thus, the value of the given expression is    1 - 1 = 0

A fraction lesser than 3/4 is 1/2

A fraction a part of a whole number can be written in a way such that the upper part is the numerator and the lower part is the denominator and these two are separated by a division line.

From the information given;

The fraction 3/4 can be written as [tex]\mathbf{\dfrac{3}{4}}[/tex], in decimal value, it is 0.75.

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Fractions less than 3/4 have a numerator to a denominator ratio that equals a number less than 0.75. Examples of such fractions are 1/2 and 2/3.

To determine which fraction is less than 3/4, it's important to remember that a fraction represents a division: the numerator (upper number) divided by the denominator (lower number). Fractions that are less than 3/4 have a ratio of the numerator to the denominator that results in a number less than 0.75, which is the decimal equivalent of 3/4.

For example, the fraction 1/2 is less than 3/4, because 1 divided by 2 equals 0.5, and 0.5 is less than 0.75. Similarly, the fraction 2/3 is less than 3/4, because 2 divided by 3 equals approximately 0.67, and 0.67 is again less than 0.75. Knowing the division values, even approximately, can help you quickly figure out if a fraction is less than or greater than another one.

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Answer:

140 pigs and 120 cows

Step-by-step explanation:

20+50=70

70x2=140(number of pigs)

140-20=120(number of cows)

Answer:   261.5 in²

Step-by-step explanation:

Separate the image into three shapes:

Top (Trapezoid):

[tex]A=\dfrac{b_1+b_2}{2}\cdot h\\\\\\.\ =\dfrac{9+(4+6+4)}{2}\cdot 5\\\\\\.\ =\dfrac{23}{2}\cdot 5\\\\\\.\ =\dfrac{115}{2}\\\\\\.\ =\boxed{57.5}[/tex]

Middle (Rectangle):

[tex]A=L\times w\\.\ =6\times 10\\.\ =\boxed{60}[/tex]

Bottom (Rectangle):

[tex]A=L\times w\\.\ =18\times 8\\.\ =\boxed{144}[/tex]

[tex]Area_{\ image}=Area_{\ Top}+Area_{\ Middle}+Area_{\ Bottom}\\.\qquad\qquad=57.5+60+144\\.\qquad\qquad=\large{261.5}[/tex]

Answer:

The correct answer is D) f(x) = (x^2 - 2)/3

Step-by-step explanation:

To find an inverse function, swap x and f(x) and then solve for the new f(x). That will be the new inverse function.

f(x) = √3x+2

x = √3f(x)+2

x - 2 = √3f(x)

x^2 - 2 = 3f(x)

(x^2 - 2)/3 = f(x)

[tex]b = - 7 \: y = 7[/tex]

[tex]b - 4y[/tex]

[tex]( - 7) - 4(7)[/tex]

[tex] - 7 - 28[/tex]

[tex] = - 35[/tex]

Answer:

-35

Step-by-step explanation:

b-4y

We know b = -7 and y =7

-7 - 4(7)

Multiply

-7 -28

Add

-35

she could feed 20 people. To find the answer put 22/8 simplify to get 11/4 then multiply by 5/5

Answer:

22/8 simplify to get 11/4 then multiply by 5/5

Step-by-step explanation:

Answer: 2/5y

Step-by-step explanation:

[tex]\frac{8x^{2}y^{2} }{10x^{2}2y^{3}} = \frac{(2)(2)(2)xxyy}{(5)(2)(2)xxyyy}[/tex]

remove common factors on top and bottom

= 2/5y