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Stolb23 [73]
3 years ago
6

Ms. Johnson’s class running a food drive . The 20 students collected 180 cans .

Mathematics
1 answer:
Ivan3 years ago
5 0

Each student collected 9 cans each. Just divide 180 by 20. :))

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The maximum value of the function: f(x)= -5 x ^2 +30x-200 is?
VARVARA [1.3K]

Answer:

\displaystyle    - 155

Step-by-step explanation:

we are given a quadratic function

\displaystyle f(x) =  - 5 {x}^{2}  + 30x - 200

we want to figure out the minimum value of the function

to do so we need to figure out the minimum value of x in the case we can consider the following formula:

\displaystyle x _{ \rm  min} =  \frac{ - b}{2a}

the given function is in the standard form i.e

\displaystyle f(x) = a {x}^{2}  + bx + c

so we acquire:

  • b=30
  • a=-5

thus substitute:

\displaystyle x _{ \rm  min} =  \frac{ - 30}{2. - 5}

simplify multiplication:

\displaystyle x _{ \rm  min} =  \frac{ - 30}{ - 10}

simply division:

\displaystyle x _{ \rm  min} =  3

plug in the value of minimum x to the given function:

\displaystyle f (3)=  - 5 {(3)}^{2}  + 30.3 - 200

simplify square:

\displaystyle f (3)=  - 5 {(9)}^{}  + 30.3 - 200

simplify multiplication:

\displaystyle f (3)=  - 45  + 90- 200

simplify:

\displaystyle f (3)=   - 155

hence,

the minimum value of the function is -155

5 0
2 years ago
The length of a screw produced by a machine is normally distributed with a mean of 0.65 inches and a standard deviation of 0.01
Makovka662 [10]
Notice it is +/-4 times standard deviation (0.65-0.04 = 0.61, 0.69-0.04=0.65)

That's almost everything. So (D) is the answer.
<span>99.993666</span>%
3 0
3 years ago
Read 2 more answers
HELP I NEED HELP ASAP
Leviafan [203]

Answer:

A

Step-by-step explanation:

Photomath, lol

7 0
3 years ago
What is 5 2/6 = ? it’s due tomorrow! i need help w this.
Vika [28.1K]

Answer:5x over 3

             

Step-by-step explanation:

5x times 2/6

3 0
3 years ago
Find the area of a circle with diameter 18 yd.
larisa [96]

Answer:

  • Area of the circle is 254.34 yd²

Step-by-step explanation:

Given:

  • Diameter of circle = 18 yd
  • π = 3.14

To Find:

  • Area of circle.

Solution:

  • Diameter = 18 yd
  • Radius = 18/2 = 9 yd

We know that,

\: \: \:  \:  \dashrightarrow \:  \:  \:  \:  \: {\underline{\boxed{\sf{Area \:  of  \: circle = \pi r^2}}}} \\ \\

Substituting the required values,

\\

\: \: \:  \:  \dashrightarrow \:  \:  \:  \:  \: \sf Area_{(circle)} = 3.14 \times  {(9)}^{2}  \\ \\

\:  \:  \:  \:  \dashrightarrow \:  \:  \:  \:  \: \sf  Area_{(circle)} = 3.14 \times 81 \\  \\

\: \: \:  \:  \dashrightarrow { \:  \:  \:  \:  \: \sf Area_{(circle)} = 254.34 \:  {yd}^{2}}  \\  \\

<u>Hence,</u>

  • <u>Area of the circle is 254.34 yd²</u>
6 0
2 years ago
Read 2 more answers
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