A ball is thrown into the air. It reaches height h in feet based on the model h=65t-16t2 where t is time in seconds. Use the discriminant. Will the ball reach 50ft? 70 feet? Explain.

Answer in interval notation is  (-3, 1)

This is the same as saying -3 < x < 1

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Explanation:

Since y = f(x), this means we're looking for points on the red curve such that they have a negative y coordinate. Visually, we're looking for points that are below the horizontal x axis.

These points are shown in the diagram below. I've marked the section we're after in blue. This blue section spans from x = -3 to x = 1. We exclude both endpoints because each x value leads to f(x) = 0, but we want f(x) values smaller than zero.

Answer:

70 miles

Step-by-step explanation:

You multiply 35 by 2.5

Answer: they had 7/12 or 7 slices out of 12 slices

Step-by-step explanation:

7 is a prime number so you can't a simplify the fraction and the denominator is 12 and 3 plus 4 is 7 which is the numerator

Answer:

A: [tex]\frac{1}{2\sqrt{x-1} }[/tex]

B:[tex]\frac{1}{4\sqrt[4]{x^{3} } }[/tex]

c: 2x

Step-by-step explanation:

To find the derivative of x raised to the nth power we use the following template

[tex]x^{n}=nx^{n-1}[/tex]

Something else to keep in mind is that

[tex]\sqrt[n]{x^{y}}=x^{y/n}[/tex]

So knowing this we can rewrite a as follows

[tex]\sqrt{x-1} =(x-1)^{1/2}[/tex]

so we can use the template above and get

[tex]\frac{1}{2}(x-1)^{.5-1}[/tex]

So that simplifies to

[tex]\frac{1}{2}*(x-1)^{-\frac{1}{2}[/tex]

[tex]\frac{(x-1)^{-.5}}{2}[/tex]

[tex]\frac{1}{2\sqrt{x-1} }[/tex]

B: Same kind of deal here

[tex]\sqrt[4]{x}=x^{\frac{1}{4} }[/tex]

[tex]\frac{1}{4} *x^{\frac{1}{4}-1}[/tex]

[tex]\frac{x^{-\frac{3}{4}}}{4} =\frac{1}{4\sqrt[4]{x^{3} } }[/tex]

C: this one is by far the easiest because the derivative of a constant is 0 so we can just apply the same template from before and get

2x

Answer: it is called the base

Step-by-step explanation:

Answer:  3/2 cm per second

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Explanation:

We could compute the slope of this line to get the answer, or we could simply compute y/x. This shortcut only works because the line goes through the origin. If the line didn't go through the origin, then we would have to use the slope formula.

The unit rate is y/x = 9/6 = 3/2 cm per second. I used the point (9,6) to compute the unit rate.

We can think of the fraction 3/2 as 1.5, so the unit rate is equivalent to 1.5 cm/sec.

Answer:

180° on a straight line

180 = 18x - 54

add 54 to both sides

234 = 18x

X = 234/18

X= 13°

6 X 13 - 5 = 73

12 X 13 - 49 = 107

107 + 73 = 180

Answer:

hehehe

Step-by-step explanation:

(3^0+2^0)(5^0)

=(3^0+2^0)(5^0)

=(3^0)(5^0)+(2^0)(5^0)

= 1 + 1

= 2

Answer:

2

Step-by-step explanation:

The answer comes from what is inside the brackets.

anything ^ 0 = 1

So 3^0 + 2^0 = 1 + 1 = 2

5^0 = 1

2 *1 = 2

Answer: y=2x-3

Step-by-step explanation: I looked it up.

Answer:

4.50/2=2.25

11.25/5=2.5

22.5/10=2.25

Step-by-step explanation:

Hope this helps ♡

Answer: I totally agree. In fact, it's the closest thing to social media I have LOL

Answer:

2.64

Step-by-step explanation:

The sqhate root of 7 is 2.64575131106. Usually this would be 2.64 when rounded to nearest hundredth.

Answer:

Step-by-step explanation:

2

(a )square root of 2 (c)

Answer:

Step-by-step explanation:

Step-by-step explanation:

Q1. diameter =90yd radius=45

circumference of circle=2×pi×radius

"" =2×3.14×45

=282.6 yd

Q2 diameter =18m radius=9

area of circle=pi×(radius)

""" =3.14×9²

""" =254.34m²

Answer:  $50

Step-by-step explanation:  Draw a line through the apparent center of the scattered dots. See where that line intersects 9 in the time scale (x-axis numbers) and the dollars earned scale (y-axis numbers)

It could be 50 or 55, but since there are a few more dots below the apparent midline, it may be best to use the lower estimate.

Answer:

Sophia can drive 3672 miles using 18 gallons of gas.

Step-by-step explanation:

204 x 18 = 3672.

Answers:

x= -10 and y= 16

3y = -6x - 12

3y = -6(-2y+22) -12

3y = 12y - 144

3y + -12y = 12y -144 + -12y

-9y = -144

divide -9 on both sides

y= 16

x= -2y+22

x= -2y+22

x= (-2)(16)+22

x= -10

Kindly check picture to the question below.

Answer:

150 minutes

Step-by-step explanation:

Volume of prism = height * base area

Height of prism = 1m

Base area = area of a trapezium

Area of trapezium = 0.5(a + b) h

a, b = parallel sides, h= height of trapezium

Area of trapezium = 0.5(1.4+0.6)*2

Area = 0.5(2)*2 = 2m²

Hence,

V of prism = area of trapezium * height of prism

Volume = 2m² * 1m = 2m³

Decrease in water level due to pumping

20cm decrease in 30minutes

(20/100)m in 30 minutes

0.2 m decrease in height of water

Hence, height of water in prism after 30 minutes pumping :

height - 0.2 = 1 - 0.2 = 0.8m

Volume after 30 minutes of pumping :

Base area * new height

2m² * 0.8m = 1.6m³

Decrease in volume over 30 minutes :

(Initial volume - volume after pumping)

2m³ - 1.6m³ = 0.4m³

If ;

0.4m³ = 30 minutes

1.6m³ = x

0.4x = 48

x = 48 / 0.4

x = 120

Hence, it takes 120 minutes for the remaining 1.6m³ to be emptied.

Hence, total wait time :

120 minutes + 30 minutes

= 150 minutes

Answer:

surface area is the answer

Answer:

300 television sets total

300 - 90 flat screens = 210

flat screens 90:210 other TVs

now divide each side of the ratio by a common factor to simplify. I'm going to use 30

flat screens 3:7 other TVs

this cannot be simplified any further so the ratio is

flat screens 3:7 other tvs

Answer:

x=-9

Step-by-step explanation:

M(slope)=y2-y1/x2-x1

m=-5-5/-9+9

m= -10/0

This means the slope is undefined. Whenever the slope is undefined, the line is vertical and is passing through the x-axis and parallel to the y-axis. Take the given coordinate (-9,5) and all you do is put x= -9. That's the equation of the line.