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3 years ago

Help me please!!!! I’m super confused

Mathematics

1 answer:

shtirl [24]3 years ago

3 0

Answer:

Step-by-step explanation:

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Major league baseball's fastest recorded pitch is 105 miles per hours. The distance between the pitcher's mound and home plate i

blsea [12.9K]

Answer:

0.4 sec

Step-by-step explanation:

Remember that

1 mile=5,280 feet

1 foot=12 inches

1 hour=3,600 seconds

Let

s -----> the speed in ft/sec

d ----> the distance in ft

t -----> the time in sec

s=d/t

Solve for t

t=d/s

step 1

Convert miles/hour to ft/sec

105 mi/h=105(5,280/3,600)=154 ft/sec

Convert 60 ft 6 in to ft

60 ft 6 in=60+(6/12)=60.5 ft

step 2

Find the time

t=d/s

we have

s=154 ft/sec

d=60.5 ft

substitute

t=60.5/154

t=0.39 sec

Round to the nearest tenth

t=0.4 sec

6 0

3 years ago

Cant figure how to answer this

Aleksandr-060686 [28]

Answer:

-5(2) (-2) +2 + 4(-2) +7 = 21

-4(2) -2(-2) -10 = -14

21/14 = -1.5 or -1 1/2

4 0

3 years ago

Select all of the statements that are true for the given parabola

Artist 52 [7]

Answer: it is D (1,-5) I think

4 0

3 years ago

Find the extreme values of the function f(x, y) = 4x2 + 6y2 on the circle x2 + y2 = 1.

julia-pushkina [17]

Answer with Step-by-step explanation:

We are given that

$f(x,y)=4x^2+6y^2$

Let g(x,y)= $x^2+y^2=1$

We have to find the extreme values of the given function

$\nabla f(x,y)$

$\nabla g(x,y)=$

Using Lagrange multipliers

$\nabla f(x,y)=\lambda \nabla g(x,y)$

$f_x=\lambda g_x$

$8x=\lambda 2x$

Possible value x=0 or $\lambda=4$

If x=0 then substitute the value in g(x,y)

Then, we get $y=\pm 1$

$f_y=\lambda g_y$

$12y=\lambda 2y$

If $\lambda=4$ and substitute in the equation

Then , we get possible value of y=0

When y=0 substitute in g(x,y) then we get

$x=\pm 1$

Hence, function has possible extreme values at points (0,1),(0,-1), (1,0) and (-1,0).

$f(0,1)=6$

$f(0,-1)=6$

$f(1,0)=4$

$f(-1,0)=4$

Therefore, the maximum value of f on the circle $x^2+y^2=1$ is $f(0,\pm1)=6$ and minimum value of $f(\pm1,0)=4$

7 0

3 years ago

QUESTION B ONLY PLEASE METHOD TOO

atroni [7]

Answer:

Step-by-step explanation:

We can express 125 as 5 x 5 x 5. Therefore, the value of the cube root of 125 is 5.

$\sqrt[3]{125} = \sqrt[3]{5 \times 5 \times 5} = 5$

8 0

3 years ago