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3 years ago

Someone please help!

Mathematics

1 answer:

USPshnik [31]3 years ago

6 0

Here are the log properties you need:
$log(ab) = log(a) +log(b) \\ \\ log(\frac{a}{b}) = log(a) - log(b) \\ \\ log(a^n) = n log(a)$

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1-Suppose the path of a baseball follows the path graphed by the quadratic function ƒ(d) = –0.6d2 + 5.4d + 0.8 where d is the ho

jasenka [17]

Answer:

1. The correct option B.

2.The correct option A.

Step-by-step explanation:

The given function is

$f(d)=-0.6d^2+5.4d+0.8$

Where f(d) is the height of the ball at horizontal distance d.

Put f(d)=0, to find the distance where the ball touch the ground.

$0=-0.6d^2+5.4d+0.8$

Quadratic formula:

$d=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Using the quadratic formula we get

$d=\frac{-5.4\pm \sqrt{(5.4)^2-4(-0.6)(0.8)}}{2(-0.6)}$

$d=-0.146,9.146$

Therefore the ball is in air between d=-0.146 to d=9.146.

The distance can not be negative, therefore the ball remains in the air between d=0 to d=9.146.

$9.146\approx 9.15$

Therefore the correct option is B.

The given equation is

$y=(x-1)^2+1$ .... (1)

The standard form of parabola is

$y=a(x-h)^2+h$ .... (2)

Where, a is constant and (h,k) is vertex.

On comparing (1) and (2), we get

$a=1$

$h=1$

$k=1$

Since the value of a is positive, therefore it is an upward parabola. The vertex of the parabola is (1,1).

Put x=0 in the given equation.

$y=(0-1)^2+1$

$y=1+1=2$

Therefore the y-intercept is (0,2) and option A is correct.

8 0

3 years ago

1 Austin earned 47 out of 50 points on his math test. Marty earned a 92% on his math test. Who earned a higher score? Marty or A

Anika [276]

Answer:

Austin earned a higher score

Step-by-step explanation:

47/50 (Austin's score) = 94/100 (denominator is now 100) = 94% (converted to percentage) > 92% (Marty's score)

Hope this helps!

8 0

3 years ago

Read 2 more answers

Find the later area of the figure

o-na [289]

Answer:

$\large\boxed{60\pi\ sq.in.}$

Step-by-step explanation:

The formula of a lateral area of a cone:

$L.A.=\pi rl$

r - radius

l - lateral height

We have the radius r = 6in and the height H = 8in.

Use the Pythagorean theorem to calculate the lateral height:

$l^2=6^2+8^2\\\\l^2=36+64\\\\l^2=100\to l=\sqrt{100}\\\\l=10\ in$

Substitute:

$L.A.=\pi(6)(10)=80\pi\ in^2$

3 0

3 years ago

The measure of angle t is 60 degrees. What is the x-coordinate of the point where the terminal side intersects the unit circle?

Anestetic [448]

Angle t would be equal to cos(60 degrees) which has coordinates (1/2,sqrt3/2) so that answer is 1/2

7 0

3 years ago

An employee worked for 8 hours on 2 days, 6 hours on 1 day, and 4 hours on 2 day

choli [55]

Answer:

A) 6.0

Step-by-step explanation:

First, total amount of hours, since average is sum of the numbers by how many numbers there is.

Day 1=8x2 hr

Day 2=6x1 hr

Day 3=4x2 hr

which is, 16+6+8=30

then divide 30 by how many days there is, which is 5 days.

30/5=6

5 0

2 years ago