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3 years ago

Simplify: |3.98 + 4.73| – |4.89 + 6.14| A. -3.67 B. -2.32 C. 2.34 D. 3.69

Mathematics

2 answers:

Lynna [10]3 years ago

6 0

Answer:

Step-by-step explanation:

taking quiz

Rudik [331]3 years ago

4 0

8.71 - 11.03 = -2.32
The answer is B. -2.32

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Solve 7−3n ≤ n+3<br> ................

vredina [299]

Answer:

1 ≤ n

Step-by-step explanation:

7−3n ≤ n+3

+3n +3n

7 ≤ 4n+3

-3 -3

4 ≤ 4n

divide by 4 on each side

1 ≤ n

4 0

3 years ago

Find the number C(10,6)

EastWind [94]

Answer:

210.

Step-by-step explanation:

Combination formula is

$nCr = \frac{n!}{r!(n-r)!}$

Then, we have that n = 10 and r=6:

$C(10,6) = \frac{10!}{6!(10-6)!}$

$C(10,6) = \frac{10!}{6!4!}$

To simplify calculus, we are going to use that n! = (n-1)!n = (n-2)!(n-1)n and so on.

$C(10,6) = \frac{6!*7*8*9*10}{6!4!}$

$C(10,6) = \frac{7*8*9*10}{4!}$

$C(10,6) = \frac{5040}{4*3*2*1}$

$C(10,6) = \frac{5040}{24}$

$C(10,6) = 210.$

5 0

3 years ago

Help The area of a square

DIA [1.3K]

Answer:

$2551\dfrac{1}{2}$

Step-by-step explanation:

$\bf l = 20\dfrac{\sf 1}{4} \ in = \dfrac{81}{4} \ in$

$\bf w = 10\dfrac{1}{2} = \dfrac{21}{2} \ in\\\\\\h = 12 \ in$

Volume of rectangular prism = l*w*h

$= \dfrac{81}{4}*\dfrac{21}{2}*12\\\\\\= 81 *\dfrac{21}{2}*3\\\\\\= \dfrac{5103}{2}\\\\\\= 2551 \dfrac{1}{2} \ cubic \ inches$

3 0

2 years ago

Read 2 more answers

It takes Earth about 365 days to orbit the Sun. It takes Uranus about 85 times as long. Write a numerical expression to describe

steposvetlana [31]

U=days of Uranus Orbit
365x85=U

3 0

4 years ago

A pumpkin is launched directly upwards at 72 feet per second from a platform 24 feet high. The pumpkins height, h, at time t sec

STALIN [3.7K]

Answer: Maximum height = 105 feet

And, It takes 9/4 seconds to reach that point.

Step-by-step explanation:

Here the given function that shows the height of the pumpkin,

$h(t) = -16t^2 + 72t + 24$ --------(1)

Where t is the time in second.

Differentiating equation (1) with respect to t,

We get, $h'(t) = -32 t + 72$

Again differentiating above equation with respect to t,

We get, $h''(t) = -32$

For maximum or minimum, $h'(t) = 0$

$- 32 t + 72 = 0$

$32 t = 72$

$t = \frac{9}{4}$

At t = 9/4 , h''(t) = Negative value,

Therefore, At t = 9/4 seconds, h(t) is maximum,

And, the maximum value is,

$h(\frac{9}{4} ) = -16(\frac{9}{4})^2 + 72(\frac{9}{4}) + 24$

$h(\frac{9}{4} ) = -16(\frac{81}{16})+ 72(\frac{9}{4}) + 24$

$h(\frac{9}{4} ) = -81 + 162 + 24=105$

Therefore, the maximum height of the pumpkin is 105 feet at 9/4 seconds

8 0

3 years ago