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Kay [80]
3 years ago
7

A) (s – 8) – (s + 4)

Mathematics
1 answer:
Mumz [18]3 years ago
5 0

(s-8)-(s+4) [the minus turned everything negative inside the parenthesis)

=s-8-s-4 [ + and - combines and becomes neutral, meaning turns 00, so +s and -s becomes 0]

= -12

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Jane has 3 ¾ cups of yogurt that she wants to split into smaller containers. Each container can hold ¾ cup of yogurt.
den301095 [7]

Answer:

5 containers

Step-by-step explanation:

Converting to a decimal can make questions like this easier to solve.

3 3/4 = 3.75

3/4= .75

3.75 cups divided by .75 cup containers results in 5 containers needed.

7 0
3 years ago
Find an equation for the tangent to the curve at P and the horizontal tangent to the curve at Q. y = 5 + cot x - 2 csc x 0 1 2 3
oksian1 [2.3K]

Answer with explanation:

The given function in x and y is,

  y= 5 +cot x-2 Cosec x

To find the equation of tangent, we will differentiate the function with respect to x

y'= -\csc^2 x+2 \csc x\times \cot x

Slope of tangent at (π/2,3)

 y'_{(\frac{\pi}{2},3)}= -\csc^2\frac{\pi}{2} +2 \csc \frac{\pi}{2}\times \cot \frac{\pi}{2}\\\\=-1+2\times 1 \times 0\\\\= -1

Equation of tangent passing through (π/2,3) can be obtained by

\rightarrow \frac{y-y_{1}}{x-x_{1}}=m(\text{Slope})\\\\ \rightarrow \frac{y-3}{x-\frac{\pi}{2}}=-1\\\\\rightarrow 3-y=x-\frac{\pi}{2}\\\\\rightarrow x+y-3-\frac{\pi}{2}=0

⇒There will be no Horizontal tangent from the point (π/2,3).

5 0
4 years ago
Last month, a cafe had 3200 customers. 600 of them ordered gluten-free meals. What percentage of the customers ordered gluten-fr
Alexus [3.1K]

18.75%

Step-by-step explanation:

600÷3200=0.1875

0.1875=18.75%

6 0
3 years ago
Read 2 more answers
if you drop a tennis ball from the height of 100in and the rebound is 58in what is the height on the 10th bounce?
xenn [34]

Answer:

0.431 inches

Step-by-step explanation:

We were given the following values:

Height the tennis ball was dropped = 100in

Rebound height = 58in

We have to find the rebound ratio

= 58in/100in = 0.58

The formula to be used

Height on nth bounce = Initial height × (Rebound ratio)ⁿ

Where n = number of bounce

Height on the 10th bounce = 100 × (0.58)^10

Height on the 10th bounce = 0.4308042069inches

Approximately, the height on the 10th bounce = 0.431 inches.

3 0
3 years ago
Can someone help with with this math question
Alona [7]
The appropriate choice is ...
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