Sisters Sharon and Karen enjoy sleeping. Let X represent the number of hours Sharon sleeps each night, and let Y represent the number of hours Karen sleeps each night. The mean of X is 7.9, and the mean of Y is 8.4. Which answer choice correctly calculates and interprets the mean of the sum, S = X + Y?

Mu Subscript s Baseline = 0.5; the mean amount of sleep Sharon and Karen get is 0.5 hours nightly.
Mu Subscript s Baseline = 8.15; the mean amount of sleep Sharon and Karen get is 8.15 hours nightly.
Mu Subscript s Baseline = 8.15; Sharon and Karen can expect to sleep a total of 8.15 hours, on average, nightly.
Mu Subscript s Baseline = 16.3; Sharon and Karen can expect to sleep a total of 16.3 hours, on average, nightly.

Answer:

52 both

Step-by-step explanation:

4 is 128. flat surface is 180, 180-128= 52. 4 and 2 are equal, 1 and 3 too. So are 5=7 8=6

Answer:

200 miles

Step-by-step explanation:

Answer:

? = 7x

Step-by-step explanation:

Lets simplify the equation first;

5x - 20 + ? = -20 + 12x

=> So now, we have to make the equation on the left equation congruent to the right equation:

It we already have -20 common on both sides, but we need to find out, what added by 5x gives us 12x,

=> So we can let the number we have to find out be y, and say:

5x + y = 12x

=> y = 12x - 5x

=> y = 7x

Therefore, ? = 7x

Hope this helps!

Answer:

Yes

Step-by-step explanation:

6((3×5)-5)

6(15-5)

6(10)

60

Hope this helps!! :)

Answer:

4r^2

Step-by-step explanation:

The area of a square is the square of the side length. Since a circle with radius r is inscribed inside the square, the side length of the square is 2r. Therefore, the area of the square is (2r)^2, which is 4r^2.

Note that the area of the circle is [tex]\pi r^2[/tex].

Answer:

"The square root of 12 is represented in the radical form as √12, which is equal to 2√3. Since 2√3 cannot be further simplified, hence such roots are called surds"

Step-by-step explanation: I just looked it up-

Answer: 1.28 : 3.12 = 16 : 39

Step-by-step explanation: now let me sleep

Answer:

Step-by-step explanation:

alright l like this answer too

Answer:

A

Step-by-step explanation:

It is

Answer:

a

Step-by-step explanation:

Answer:

x ≥ 15

Step-by-step explanation:

200 + 20x ≥ 500

To solve this inequality, you must first subtract 200 from 500.

500 - 200 = 300.

Lastly, divide 300 by 20.

20x = 300

300 ÷ 20 = 15

Therefore, the value of x is 15.

Answer:

x ≥ 15

Step-by-step explanation:

1. So first of all we can simplify both sides now turning this into 20x+200≥500

2. Next we go ahead and subtract 200 from both sides because that is the opposite of adding, so something like this:

20x + 200 ≥ 500

        -200   -200

This equals to:

20x ≥ 300

Now so x can be cancled we will need to divide by 20 because that is the opposite of multiplying(When it shows the x next to a number like this 20x it means that they are multiplyin):

20x  ≥  300

20        20

Now we cance out the left side(x) equaling up to this:

x ≥ 15

I hope this helped you out!

Answer:

1.8 ft^2

Step-by-step explanation:

Area of circle formula is πr^2

r is 1.5/2 or 0.75

π(0.75)^2

π*0.5625

π=3.14

3.14*0.5625=1.76625

Answer rounded to nearest tenth is 1.8 ft^2

Answer:

1 and -2

Step-by-step explanation:

Answer:

Associative property

Step-by-step explanation:

When three or more numbers are multiplied, the answer is the same regardless of the way in which the numbers are grouped.

[tex]h \: is \: correct \: answer \: \\ if \: you \: put \: (0 \: t4) \: and \: (1 \: 6)you \: can \: find \: the \: answer[/tex]

Answer:

43 coins in each piggy bank

Step-by-step explanation:

well half of 86 os 43

because 43+43=86

Answer:

43

Step-by-step explanation:

i know my dang brainly

Answer:

The answer is "28, 35, 52, 65"

Step-by-step explanation:

Calculating the x,y:

  [tex]\to x< y<65\\\\\to 65 \times 28 xy=13 \times 5xy \times 7 \times 2^2\\\\x=13 \\\\y=5 \times 7= 35\\\\[/tex]

When

or  

[tex]x=35\\\\y= 13 \times 2^2=13 \times 4 =52[/tex]

So, the final answer is "28, 35, 52, 65".

Answer:

3

Step-by-step explanation:

10+4x

10+12 = 22

so what number times 4 equals 12. So the answer is 3

Answer:

radius=diameter/2

=9/2

=4.5 in.

diameter=radius*2

=3m*2

=6m

Step-by-step explanation:

Step-by-step explanation:

1) r=d/2

r=9in/2

r=4.5in

2) d= r×2

d=3m×2

d=6m

Answer:

[tex] \displaystyle \frac{dy}{dx} = \frac{2x + 2}{x^3} [/tex]

Step-by-step explanation:

we would like to figure out the derivative of the following:

[tex] \displaystyle \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} } [/tex]

to do so, let,

[tex] \displaystyle y = \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} } [/tex]

By simplifying we acquire:

[tex] \displaystyle y = 3 - \frac{2}{x} - \frac{1}{ {x}^{2} } [/tex]

use law of exponent which yields:

[tex] \displaystyle y = 3 - 2 {x}^{ - 1} - { {x}^{ - 2} } [/tex]

take derivative in both sides:

[tex] \displaystyle \frac{dy}{dx} = \frac{d}{dx} (3 - 2 {x}^{ - 1} - { {x}^{ - 2} } )[/tex]

use sum derivation rule which yields:

[tex] \rm\displaystyle \frac{dy}{dx} = \frac{d}{dx} 3 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2} [/tex]

By constant derivation we acquire:

[tex] \rm\displaystyle \frac{dy}{dx} = 0 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2} [/tex]

use exponent rule of derivation which yields:

[tex] \rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ - 1 -1} ) - ( - 2 {x}^{ - 2 - 1} )[/tex]

simplify exponent:

[tex] \rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ -2} ) - ( - 2 {x}^{ - 3} )[/tex]

two negatives make positive so,

[tex] \displaystyle \frac{dy}{dx} = 2 {x}^{ -2} + 2 {x}^{ - 3} [/tex]

by law of exponent we acquire:

[tex] \displaystyle \frac{dy}{dx} = \frac{2 }{x^2}+ \frac{2}{x^3} [/tex]

simplify addition:

[tex] \displaystyle \frac{dy}{dx} = \frac{2x + 2}{x^3} [/tex]

and we are done!

Answer:

4.4 gibrayets should be it

The answer is B not any other mostly because you need to

subtract both equations to remove the variable.

Answer:

12 20 22

Step-by-step explanation:

Answer:

The expression for the number of bacteria after t hours is [tex]P(t) = 50e^{0.2922t}[/tex]

Step-by-step explanation:

When introduced into a nutrient broth, the culture grows at a rate proportional to its size.

This means that the size of the population, after t hours, is modeled by the following differential equation:

[tex]\frac{dP}{dt} = rP[/tex]

In which R is the growth rate.

The solution of this differential equation is:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial population.

A culture of the bacterium Salmonella enteritidis initially contains 50 cells.

This means that [tex]P(0) = 50[/tex], and so:

[tex]P(t) = P(0)e^{rt}[/tex]

[tex]P(t) = 50e^{rt}[/tex]

After 1.5 hours, the population has increased to 775.

This means that [tex]P(1.5) = 775[/tex]. We use this to find r. So

[tex]P(t) = P(0)e^{rt}[/tex]

[tex]500e^{1.5r} = 775[/tex]

[tex]e^{1.5r} = \frac{775}{500}[/tex]

[tex]\ln{e^{1.5r}} = \ln{\frac{775}{500}}[/tex]

[tex]1.5r = \ln{\frac{775}{500}}[/tex]

[tex]r = \frac{\ln{\frac{775}{500}}}{1.5}[/tex]

[tex]r = 0.2922[/tex]

The expression is:

[tex]P(t) = 50e^{rt}[/tex]

[tex]P(t) = 50e^{0.2922t}[/tex]

The expression for the number of bacteria after t hours is [tex]P(t) = 50e^{0.2922t}[/tex]

Answer:

Word Problem. Hmm

The Interpretation of the first expression

Let boat top speed be x and car's top speed be y

x= 3y/5 – 2

From the question

x= 73miles per hr

73= 3y/5 - 2

3y/5 = 73+2

3y/5=75

y= 75x5/(3)

y=125miles per hr.

This is the car's top speed. Thanks

Answer:

P = -3t

Step-by-step explanation:

Since it starts at time zero, and our velocity is -3m/s, our equation for position could be modeled for time as P = -3t

Answer:

Slope: 3/5

y-intercept: 7

Step-by-step explanation:

Answer:

34.3

Step-by-step explanation:

Answer:  The answer is  (34.3)

Step-by-step explanation:

Since you're rounding to the nearest tenth,  you gotta look at the hundreds place which is 8. 8 rounds up so therefore, 2 rounds up and becomes 3. Which gives you the answer (34.3)

~ Hope this helps you out, have a gr8 day/night my friend!~