The radius of a circle is changing at the rate of 1/π inches per second. At what rate, in square inches per second, is the circle’s area changing when the radius is 5 inches?

Answer:

B

Step-by-step explanation:

The circumference is just diameter x π (3.14 in this case) so 42 x 3.14 = 131.88

Answer:

B

Step-by-step explanation:

the circumference of a circle is

2×pi×r

with r being the radius (half the diameter).

2r is then the diameter.

so, in our case the circumference is

42×pi = 42 × 3.14 = 131.88 mm

Solution :

It is given that a large institution is preparing food menus which contains foods A as well as B.

Each lunch provides :

10 units of carbohydrates

6 units of fats

7 units of proteins

The food from A cost = $0.12 per ounce

And food from B cost = $0.08 per ounce

Objective function :

[tex]$C= 0.12x+0.08y$[/tex]

Constraints : [tex]$x\geq 0, y \geq 0, x+y \geq 6, 2x+y \geq 10, x+y \leq 7$[/tex]

Domain : [tex]$3 \leq x\leq 7$[/tex]

Range : [tex]$0\leq y\leq4$[/tex]

×=20°

Hope this helps :)

Answer:

(

1

)

(

5

/

3

)

Step-by-step explanation:

Answer:

99% Confidence interval is given as;

Lower Limit = 0.062

Upper Limit = 0.130

Step-by-step explanation:

Given the data in the question;

x = 48

n = 500

sample proportion p = x/n = 48/500 = 0.096

with 99% confidence

significance level ∝ = 1 - 99% = 1 - 0.99 = 0.01

∝/2 = 0.01 / 2 = 0.005

Critical Z-value = [tex]Z_{\alpha /2[/tex] = [tex]Z_{0.005[/tex]  = 2.576

Now,

Standard error of p : SE = √[ (p × ( 1 - p) / n ) ]

we substitute

SE = √[ (0.096 × ( 1 - 0.096) / 500 ) ]

SE = √[ (0.096 × 0.904) / 500  ]

SE = √[ 0.086784 / 500 ) ]

SE = 0.0131745

so

Margin of Error E = [tex]Z_{\alpha /2[/tex] × SE

E = 2.576  × 0.0131745

E = 0.0339

Now 99% confidence interval will be

⇒ 0.096 ± 0.0339

⇒ (0.096 - 0.0339, 0.096 + 0.0339 )

⇒ ( 0.062, 0.130 )

Lower Limit = 0.062

Upper Limit = 0.130

Answer:

6.8 kg

Step-by-step explanation:

1 pound = 0.4536 kg

15(0.4536) = 6.804

Answer: C) 1/a^12•b^8

Step-by-step explanation:

Answer:

D.8

Step-by-step explanation:

Since your chance of success is only 1 out of 5 or rather, 20%, so

40 divided by 5 equals 8, so the answer is D.

(Of course, this is just what SHOULD happen, not what CERTAINLY can happen.)

Expected number of answers to be correct = 8.

Measure of the likelihood of an event happening is called Probability. Probability can be between 0 to 1. 0 means the event cannot happen, 1 indicates the specific event. The sum of the probabilities of all events in the sample space is 1.

Probability can be defined as the ratio between the number of favorable outcomes and the total number of outcomes of an event. For a trial with “n” number of results, the number of favorable outcomes can be denoted by x. The formula for calculating the probability of an event is as follows.

Probability (Event) = Favorable Outcome/Total Outcome = x/n  

Given,

Number of questions = 40

One of 5 choices is correct

then, probability of getting correct option = 1/5

Number of correct answers = 40 × 1/5 = 8

Hence, 8 answers are expected to be correct.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ6

Answer:

6/4

Step-by-step explanation:

Answer:

slope

=

−

21

16

Explanation:

to calculate the slope m use the

gradient formula

∙

x

m

=

y

2

−

y

1

x

2

−

x

1

let

(

x

1

,

y

1

)

=

(

−

7

,

11

)

and

(

x

2

,

y

2

)

=

(

9

,

−

10

)

⇒

m

=

−

10

−

11

9

−

(

−

7

)

=

−

21

16

=

−

21

16

Step-by-step explanation:

Answer:

3,268,584

Step-by-step explanation:

1^12 is 1

Step-by-step explanation:

daddgeyeyeyeye daddd daddy safdad papap

Answer:

299 square feet

Step-by-step explanation:

Area of a parallelogram = base × height

Base = 23 ft

Height = 13 ft

Note: the other length, 15 ft is not needed in calculating area of the parallelogram. All we need is just the length of the base and the height.

Area of the parallelogram shown = 23 × 13

Area = 299 ft²

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

0.5

Step-by-step explanation:

If y = -4, then we must replace every variable y with the number 4. So, let's do that.

2/-4 + 1/2*(-4 + 6)

All we have to do now, is simplify. Parenthesis first...

2/-4 + 1/2*2

We can replace the 1/2*2 with 2/2 because they are the same thing.

2/-4 + 2/2

Now, solve from left to right.

-0.5 + 1 = 0.5

Therefore, the answer is equal to 0.5. Hope this helps!

Answer:

1078in

Step-by-step explanation:

Surface area =2(wl+hl+hw)

2·(17·19+6·19+6·17)=1078in

Answer:

Answer H

Step-by-step explanation:

Answer:

b.

42+x+90+8=180° linear pair

x=180-140=40°

x=40°

c.

10+x+90+3x=180 linear pair

4x=180-100

x=80/4=20

x=20°

Answer:

Part A: c. 4.25x+7=53.75

Part B: 11

Step-by-step explanation:

4.25x+7=53.75

4.25x=46.75

x=11

Answer:

U need to draw a triangle

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

25*35=700

10*30=300

700-300=400

Answer:

23x +2

Step-by-step explanation:

20x + 3x + 2 = 23x + 2, also close ur curtains ouch

Based on the information given, the value of the expression is 23x + 2.

From the information given, the expression that was given is (4.5)x+ 3x + 2. This simply means that one has to multiply the values in the bracket first and solve it. This will be:

= (4 × 5)x + 3x + 2

= 20x + 3x + 2

= 23x + 2

Learn more about equations on:

https://brainly.com/question/13802812

Answer:

didn't even ask a question

Step-by-step explanation:

impossible to answer without a question

Answer:

A = 6

B = 6

C = 7

D = 4

Step-by-step explanation:

Answer:

A random sample of house sizes in major city has a sample mean of ¯x=1204.9 x ¯ = 1204.9 sq ft and sample standard deviation of s=124.6 sq ft. Use the Empirical Rule to determine the approximate percentage of house sizes that lie between 955.7 and 1454.1 sq ft.:

Answer: yes the ratios 1:9 and 5:45 are equivalent.

Step-by-step explanation:

1:9*5:5=5:45

U got any more math questions that I can answer? I’m really bored and I have to stay busy!

Answer:

94

Step-by-step explanation:

Answer:

dont trust me but i think its subtraction or division

Step-by-step explanation:

Answer:

the probability is 0.0067

Step-by-step explanation:

The computation of the probability of receiving no e-mails during an hour is shown below;

Let us assume x be the number of emails received during an hour

Now the probability of receiving no e-mails is

= e^-5 × 5^0÷ 0!

= e^-5 × 1  ÷ 1

= e^-5

= 0.00674

= 0.0067

Hence, the probability is 0.0067

Answer:

20.95$

Step-by-step explanation:

To find the total price we need to find 4.75% of the 20 and to do that we need  to multply 20 with 4.75 and divide it by 100

20 × 4.75 ÷ 100 = 0.95

20$ + 0.95$ = 20.95$