In the past, professional baseball was played at the Astrodome in
Houston, Texas. The Astrodome has a maximum height of 63.4 m. The
height in meters of a baseball t seconds after it is hit straight up in the air
with a velocity of 45 m/s is given by h = -9.88 + 45t + 1. Will a baseball hit
straight up with this velocity hit the roof of the Astrodome? Use the
discriminant to explain your answer.

Answer:

Width: 9 inches

Step-by-step explanation:

1. We can see that the height increased by 6 inches, provided a difference of 15 and 9. If the question states that the frame's dimensions were proportionately enlarged, perhaps the height's enlargment could be benificial

2. If we were to take a ratio where the increased height is over the previous height (height enlargment/prior height) that would be 6/9, or in other words, can be simplified to be 2/3

3. We can see that if the width were to be enlarged, we might be able to determine how much it should be enlarged through a proportionality, provided the frame's dimensions are proportionately enlarged. Now if x ⇒ the width enlargment: 2 / 3 = x / 5.4

4. Through cross multiplication, let us solve for x:

2 * 5.4 = 3 * x,

10.8 = 3 * x,

x = 3.6 inches by which the width should be enlarged

5. If we are to determine the new width of the frame after enlargment, add 5.4 to 3.6 ⇒ the width of the frame ⇒ 9 inches

Answer

Inequality=100x+275≥775       Answer=5 or more

Step-by-step explanation:

Q=rational number=1/6

2/3+q=1/2=1/6

Answer:

(Use right triangle)

1) find the height of the waterfall (opposite side) to the nearest foot.

draw the triangle.  distance from  far side of the pool to the top of the waterfall is the hypotenuse given to be 230.

sinx = opp/hyp

sin54 = opp/230

opp = 230sin54

opp = approx 186 ft

2) find the width across the pool (adjacent side) to the nearest foot.

cosx = adj/hyp

cos54 = adj/230

adj = 230cos54

adj = approx 135 ft

Answer: 135 ft

The value of x is 135.2 feet.

To understand more, check below explanation.

From given figure,

It is observed taht, a right angle triangle is formed in the given figure.

Angle of elevation = 54 degree

Hypotenuse  = 230 feet

We have to find base i.e x

Apply cosine of angle,

               [tex]cos (54)=\frac{x}{230}\\ \\x=230*cos(54)\\\\x=230*0.587\\\\x=135.2ft[/tex]

Hence, the value of x is 135.2 feet.

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Answer:

Around 202.08

Step-by-step explanation:

The formula for the surface area of a pyramid is [tex]a^2 +2a\sqrt{\frac{a^2}{4}+h^2}=9^2+2\cdot 9\sqrt{\frac{9\cdot 9}{4}+5^2}=81+18\sqrt{45.25}\approx 202.08[/tex]. Hope this helps!

Answer: The car is 6.6 years old.

Step-by-step explanation:

Hi, to answer this question we have to replace the values in the equation given:

Y = 1/2 (half the value)

A = 1 (total value)

r =10% = 0.10 (decimal form)

Replacing:

y = A(1-r)^t

1/2 = 1 (1-0.10)^t

Solving for t:

(1/2)/1 = 0.9^t

1/2 = 0.9^t

log 1/2 = log 0.9^t

log 1/2 = (t) log 0.9

(log 1/2)/ log 0.9 = t

6.57 =t

6.6 years (rounded)

We have been given that in an assembly line, 56 out of 60 randomly selected parts have no faults. We are asked to predict the number of parts that will have no faults in a similar batch of 12,000 parts.

We will use proportions to solve our given problem.

[tex]\frac{\text{Not faulty parts}}{\text{Total parts}}=\frac{56}{60}[/tex]

[tex]\frac{\text{Not faulty parts}}{12,000}=\frac{56}{60}[/tex]

[tex]\frac{\text{Not faulty parts}}{12,000}\times 12,000=\frac{56}{60}\times 12,000[/tex]

[tex]\text{Not faulty parts}=56\times 200[/tex]

[tex]\text{Not faulty parts}=11,200[/tex]

Therefore, approximately [tex]11,200[/tex] parts will have no faults in a similar batch of 12,000 parts.

Answer: part of the alphabet

Step-by-step explanation: nice

The volume is approximately 33.51 [tex]cm^3[/tex], option B.

The question asks us to determine the closest volume to a golf ball with a diameter of approximately 4 centimeters. To find the volume of a sphere (which is the shape of a golf ball), we use the formula:

V = (4/3)π[tex]r^3[/tex],

where r is the radius of the sphere. Since the diameter of the golf ball is given as 4 cm, the radius would be half of that, which is 2 cm. Plugging in the radius into the formula, we have:

[tex]V = (4/3)\pi(2 cm)^3 = (4/3)\pi(8 cm^3) = (32/3)\pi cm^3,[/tex]

Now, we calculate the value using the approximation π = 3.14:

V = (32/3) × 3.14 [tex]cm^3[/tex] = 33.51 [tex]cm^3[/tex] (approximately).

Therefore, the volume that is closest to the actual volume of the golf ball is 33.51 [tex]cm^3[/tex], option B.

10x−3+3≥2+3

10x≥5

(10x10)/2≥(5/10)

x≥1/2

Answer:

I think the answer is B.

Answer:

b.) [tex]50,48,14[/tex]

Step-by-step explanation:

To find if a set of lengths makes a right triangle, use the Pythagorean theorem:

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

If a and b squared equal c squared, then the set makes a right triangle. C (the hypotenuse) is the largest number of the set because the hypotenuse is always the largest side in a right triangle.

Use the options:

a.) insert values:

[tex]8^2+14^2=17^2\\64+196=289\\260\neq 289[/tex]

260 does not equal 289, so a is wrong.

b.) insert values:

[tex]14^2+48^2=50^2\\196+2304=2500\\2500=2500[/tex]

2,500 equals 2,500, so b is correct.

Finito.

Answers)

27=6

30=82

33=24

Answer:

[tex]t \approx 4.501\,s[/tex]

Step-by-step explanation:

The second-grade equation must be rearragend into its standard form:

[tex]-16\cdot t^{2} + 70\cdot t + 9 = 0[/tex]

Roots can be found with the help of the General Equation for Second-Order Polynomial:

[tex]t = \frac{-70\pm \sqrt{70^{2}-4\cdot (-16)\cdot (9)}}{2\cdot (-16)}[/tex]

[tex]t = 2.188 \pm 2.313[/tex]

[tex]t_{1} \approx 4.501\,s[/tex]

[tex]t_{2} \approx -0.125\,s[/tex]

Only the first root offers a reasonable solution.

[tex]t \approx 4.501\,s[/tex]

Answer: A

Explanation: x is your independent variable and is time, so it is unlikely to have negative amounts of time.

The time will be 2.25 seconds. Then the correct option is D.

A statement, principle, or policy that creates the link between two variables is known as a function.

The function is given below.

h(x) = – 16x² + 100

Where x is the time in seconds and h(x) is the height at x.

Let the height is y feet.

Then the value of y will be

y = 84 – 65

y = 19 feet

Then the time will be

   19 = – 16x² + 100

16x² = 100 – 19

16x² = 81  

  4x = 9    

    x = 2.25 seconds

Then the correct option is D.

More about the function link is given below.

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Answer:

-4p³+3p²-17p

Step-by-step explanation:

(-3p³+5p²-2p)+(-p³-8p²-15p)

-3p³+5p²-2p-p³-8p²-15p

-3p³-p³+5p²-8p²-2p-15p

=-4p³+3p²-17p

Answer:

no

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Answer:

14000/100*105 = 14,700

Step-by-step explanation:

Answer:

If the question was to the first one I'm pretty sure the answer is a lot fewer people got sick I'm not sure but the second question but from what I could see of the bottom question burning fossil fuels driving cars and deforestation I know are may cause global warming I can't see the rest of it though and I'm not sure about ice cores

Step-by-step explanation:

Answer:

area of a sector = 14.13 yards²

Step-by-step explanation:

XYZ is a sector of a circle. The radius YZ is 6 inches .The angle of the sector is given as 45°. The area of the sector can be solved as follows.

area of a sector = ∅/360 × πr²

where

r = radius

∅ = center angle

r = 6 inches

∅ = 45°

area of a sector = 45/360 × 3.14 × 6²

area of a sector = 45/360 × 3.14 × 36

area of a sector = 45/360 × 113.04

area of sector = 1/8 × 113.04

area of a sector = 14.13 yards²

Answer:

14.13

Step-by-step explanation:

i know

f(x) = ax + b

(0, -4):

           f(0) = a•0 + b

           f(0) = b      ⇒     b = -4

(12, 0):

           0 = a•12 + b

           0 = 12a - 4

           4 = 12a

           [tex]a=\frac4{12}=\frac13[/tex]

The equation of the green line:

                                                   [tex]\underline{\,y=\frac13x-4\,}[/tex]

or:      [tex]y=\frac13x-4[/tex]

         [tex]-\frac13x+y+4=0\\\\\underline{x-3y-12=0}[/tex]    

Answer:

10 is your answer for c.

Step-by-step explanation:

Isolate the variable c. Note the equal sign, what you do to one side, you do to the other.

Subtract 3c from both sides:

3c (-3c) - 10 = 2c (-3c)

-10 = 2c - 3c

-10 = -c

Isolate the variable, c. Divide -1 from both sides:

(-c)/-1 = (-10)/-1

c = -10/-1

c = 10

c = 10 is your answer.

~

Answer:

Option B 15/16

Step-by-step explanation:

calculate the volume of the cone and the volume of the cylinder and then put them in a fraction with the cone over the cylinder, afterwards put that fraction in a calculator and see what you get. once you get the answer input each one of the options into the calculator until one of the fractions gives you the same product as the cone/cylinder fraction.

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Shade in 17 parts. 100% is 20 parts, and 100/20=5. You have to shade 85%, and 85/5=17.

Shade in 17 parts.

A percentage is a number or ratio that can be expressed as a fraction of 100.

Here, we have,

We had 20 equal parts.

i.e. 100% is 20 parts,

and 100/20=5.

You have to shade 85%,

and 85/5=17.

Hence, there are Shade in 17 parts.

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Answer:

[tex]144\pi[/tex]

Step-by-step explanation:

Circumference = [tex]\pi d[/tex]

Diameter = [tex]2r[/tex]

Area of a circle = [tex]\pi r^2[/tex]

From our first equation, we can find our value for our diameter:

We do this by dividing [tex]24 \pi[/tex] by [tex]\pi[/tex] to get 24.

[tex]c=\pi d[/tex]

[tex]d=\frac{c}{\pi } = \frac{24\pi }{\pi } =24[/tex]

Using our second equation, we can find out the value for our radius:

[tex]d=2r[/tex]

[tex]r=\frac{d}{2} =\frac{24}{2} =12[/tex]

Now we have a value for our radius, we can use our third equation to find out our area:

[tex]A=\pi 12 ^2 = 144 \pi[/tex]

Given that:

To Find:

We know that:

Where,

Finding the radius of the circle:

Circumference of a circle = 24π

⟶ 2πR = 24π

⟶ 2πR = 2π × 12

Cancelling 2π.

⟶ R = 12

∴ Radius of the circle = 12 ft.

Finding the area of the circle:

⟶ Area = πR²

⟶ Area = π(12)²

⟶ Area = π × 12 × 12

⟶ Area = π × 144

⟶ Area = 144π

Hence,

Functions with all real numbers as their domain include polynomial functions, sine and cosine functions, and exponential functions. For example, the function f(x)=x², f(x) = sin(x), or f(x) = cos(x) and f(x)=a^x (where a>0).

In Mathematics, the domain of a function is the set of values that can be plugged into the function. There are multiple functions that have a domain of all real numbers, some of them are polynomial functions, sine and cosine functions, and exponential functions.

For example, the function f(x)=x² is a polynomial function where any real number can be inputted for x, hence its domain is set of all real numbers.

Similarly, sine and cosine functions, represented as f(x) = sin(x) or f(x) = cos(x), have a domain of all real numbers, because sine and cosine are periodic and their values repeat over every interval of 2π.

Furthermore, the exponential functions, represented in the form f(x)=a^x (where a>0), have also their domains as the set of all real numbers.

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Answer:

[tex](p-10)^2[/tex]

Step-by-step explanation:

[tex]p^2-20p+100=\\(p-10)^2[/tex]

Hope this helps!

p − 10 ) 2

Step-by-step explanation:

Answer: D

Step-by-step explanation:

No two coordinates can have to same input(x) and different outputs(y)

Option A represents y as a function of x because each x-value is associated with only one y-value.

To determine if a set of ordered pairs represents y as a function of x, we need to check if each x-value is associated with a unique y-value. In option B) {(0, 0), (1, 1), (2, 4), (3, 9), (3, 16)}, we can see that the x-value 3 is associated with two different y-values, 9 and 16. Therefore, option B) does not represent y as a function of x.

The correct answer is option A) {(0, 0), (-1, 2), (-1, -2), (-2, 4), (-2, -4)}. In this set, each x-value is associated with only one y-value. For example, x = -1 is associated with y = 2 and y = -2. Since no x-value is repeated with different y-values, this set represents y as a function of x.

Option C) {(0, 0), (0, 1), (0, 2), (0, -1), (0, -2)} and option D) {(0, 0), (-1, -0.5), (-2, -1), (-3, -1.5), (-4, -2)} both have repeated x-values with different y-values, so they do not represent y as a function of x.

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Answer:

Step-by-step explanation:

hello :

x²+6x + y²– 12y = 36

completed to suqard :(x²+6x) + (y²– 12y) = 36 means :

(x²+6x+9)-9 + (y²– 12y+36)-36 = 36

(x+3)²+(y-6)² = 9².... standard form when the radius is : 9