The figure above includes one cylinder and two identical rectangular prisms. The volume of one rectangular prism is 800 m3. The volume of the entire figure is?

Answer:

8/6

Step-by-step explanation:

Sam has 8 times the number of eggs Kyle has can be expressed as:

[tex]\displaystyle \large{8\cdot \dfrac{1}{6}}[/tex]

As given, the number of eggs Kyle has is 1/6 so out of 6 eggs, Kyle only had 1.

Therefore, 8 multiplies/times the number of eggs is:

8/6

So, we need to solve the quadratic equation from quadratic formula as per the question, but before starting, let's first recall that, for any quadratic equation of the form ax² + bc + c = 0, the discriminant is given by D = b² - 4ac, and the value of x is given by :

Also, their are no real solutions of x i.e their are only imaginary values of x iff D < 0, equal and real roots iff D = 0 and real and distinct roots iff D > 0. So, let's convert the given equation to the standard form ax² + bx + c = 0 and then we will find the discriminant and then we will be solving for k ;

[tex]{:\implies \quad \sf 2k(k+5)=-25}[/tex]

[tex]{:\implies \quad \sf 2k^{2}+10k=-25}[/tex]

[tex]{:\implies \quad \sf 2k^{2}+10k+25=0}[/tex]

Now, on comparing this with the standard equation, we will get a = 2, b = 10 and c = 25, and then D = (10)² - 4 × 2 × 25 = 100 - 200 = - 100, now as D < 0, so their will be imaginary values of k, so now solving for k will yield by using the Quadratic Formula ;

[tex]{:\implies \quad \sf k=\dfrac{-10\pm \sqrt{-100}}{2\times 2}}[/tex]

[tex]{:\implies \quad \sf k=\dfrac{-10\pm 10\iota}{2\times 2}}[/tex]

[tex]{:\implies \quad \sf k=\dfrac{2(-5\pm 5\iota)}{2\times 2}=\dfrac{-5\pm 5\iota}{2}}[/tex]

[tex]{:\implies \quad \boxed{\bf{k=\dfrac{-5+5\iota}{2}\:\:,\:\: \dfrac{-5-5\iota}{2}}}}[/tex]

This is the required answer

Answer:

tangina napaka pogi ko +41

Answer:

the answer to this question is 52.18

Distance is the product of speed and time. The rate at which the distance between the ships changes at 4:00 p.m is 27.293 km/h.

Distance is the product of speed and time. It is given by the function,

[tex]\rm Distance = Time \times speed[/tex]

Given at noon the distance between two ships is 170 km. Furter ship A is moving towards the east at a speed of 40 km/h, therefore, the distance covered by Ship A in 4 hours will be,

[tex]\rm \text{Distance covered by Ship A in 4 hours} = 4 \times 40 = 160\ km[/tex]

The distance covered by Ship B in 4 hours will be,

[tex]\rm \text{Distance covered by Ship B in 4 hours} = 4 \times 15= 60\ km[/tex]

At 4 pm the distance between the two ships is the hypotenuse of the red triangle as shown below,

[tex]\rm Hypotenuse = \sqrt{10^2 + 60^2} = \sqrt{100+3600 }= 60.827\ km[/tex]

The rate of change in the distance between the two ships can be written as,

[tex]\rm \text{Rate of change of distance} = \dfrac{170-60.827}{4} = 27.293\ km/h[/tex]

Hence, the rate at which the distance between the ships changes at 4:00 p.m is 27.293 km/h.

Learn more about Distance:

https://brainly.com/question/15100898

#SPJ1

Answer:

692ft3

Step-by-step explanation:

Surface area of the rectangular prism;

SA = lw(2) + wh(2) + hl(2)

SA = 15(5)(2) + 5(8)(2) + 8(15)(2)

SA = 150 + 80 + 240 =

SA = 470ft3

Surface area of the triangular prism

SA = (S1 + S2 + S3) l + bh

SA = (9 + 9 + 11) 5 + 11(7)

SA = (29) 5 + 11(7)

SA = 145 + 77

SA = 222ft3

Add both the SA's

470ft + 222ft = 692ft3

well, we know the piece-wise function is [tex]f(x)= \begin{cases} 7x+10&x < 0\\\\ 7x+20&x\geqslant 0 \end{cases}[/tex]

hmmm so what's f(-1), namely what is f(x) when x = -1?

well, when x = -1, hmm -1 is less than 0, so the subfunction that applies to that will be when "x" is less than 0, namely the part of 7x + 10, so we can say

f(-1) = 7(-1) + 10

f(-1) = 3

so hmm what's f(0) or namely, what's f(x) when x = 0?

well, what subfunction applies when x = 0? well, it has to be the subfunction with "x greater or equals to 0", x ⩾ 0, so then is 7x + 20

f(0) = 7(0) + 20

f(0) = 20.

Answer:

D

Step-by-step explanation:

The equation of the circle is (d) (x -3)^2 +(y - 1)^2 = 58

The given parameters are:

Start by calculating the radius using:

r^2 = (x -a)^2 +(y - b)^2

So, we have:

r^2 = (0 -3)^2 +(-6 - 1)^2

Evaluate

r^2 = 58

The circle equation is then calculated using:

(x -a)^2 +(y - b)^2 = r^2

This gives

(x -3)^2 +(y - 1)^2 = 58

Hence, the equation of the circle is (d) (x -3)^2 +(y - 1)^2 = 58

Read more about circle equations at:

https://brainly.com/question/1559324

#SPJ2

Answer:

  38.0 m/s

Step-by-step explanation:

Units conversion can be done by multiplying by appropriate conversion factors. Each conversion factor has a value of 1: the numerator is equal to the denominator, but the units are different. The units are chosen so that cancelling unwanted units gives the set of units you want.

__

  [tex]\dfrac{85\text{ mi}}{1\text{ h}}\times\dfrac{1.61\text{ km}}{1\text{ mi}}\times\dfrac{1000\text{ m}}{1\text{ km}}\times\dfrac{1\text{ h}}{3600\text{ s}}=\dfrac{85\cdot1.61\cdot1000\text{ m}}{3600\text{ s}}\\\\\approx\boxed{38.0\text{ m/s}}[/tex]

Using the histogram, it is found that the percentage of simulations is the average for group A at least 1.6 higher than the average for group B is given by:

A: 1.

An histogram is a graph that shows the number of times each element of x was observed.

In this problem, the histogram shows that out of the 100 simulations, only 1 had a difference of at least 1.6, as the bin corresponding to [1.6, 2] has value of 1 and the bins to the right of this have values of 0.

Hence, the percentage is given by:

P = 1/100 x 100% = 1%.

Which means that option A is correct.

More can be learned about histograms at https://brainly.com/question/25836450

Answer:

-25

Step-by-step explanation:

This question is asking for a composite function.

Let's take this step-by-step!

[tex]f(x) = |x + 2|\\g(x) = -x^2[/tex]

(g•f)(3) means [tex]g(f(3))[/tex]

In English, this means we put 3 into f(x), and use the result for g(x).

First let's do f(x):

[tex]f(3) = |3 + 2| = |5| = 5[/tex]

The lines mean "modulus"/"absolute value" which makes any number positive

For example,

[tex]|-3| = 3[/tex]

[tex]f(3) = 5\\g(f(3)) = g(5)\\g(5) = -(5)^2 = -25[/tex]

Answer:

1500-325

=1125

Step-by-step explanation:

1500 minutes minus 325 minutes is equal to 1125 minutes remaining

Answer:

-3

Step-by-step explanation:

-7x + 4x = 9

-3x = 9

x = 9/(-3)

Answer:

B

Step-by-step explanation:

Because of inflation, prices at restaurants would go up.

Answer:

x = 57,542.8571

Step-by-step explanation:

C(x) = 0.81x + 60,420

R(x) = 1.87x

At break even point, Cost function and revenue function becomes equal.

-> C(x) = R(x)

-> 0.81x + 60,420 = 1.87x

-> 60420 = 1.87x - 0.82x

-> 60420 = 1.05x

-> x = 60420/1.05

-> x = 57,542.8571

Thus, at break even point x = 57,542.8571

Answer:

∠G=110°

Step-by-step explanation:

The 4 interior angles of a kite add up to 360. 100+40=140. 360-140=220. E and G are the only angles left so we know together they must equal 220. And ∠E and ∠G are congruent angles beceause of kite rules. So, we divide by 2 to get how much angle E and G are individually.

Using the binomial distribution, it is found that Sam should have expected 5 people to say yes.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

The expected value is given by:

E(X) = np.

In this problem:

Hence, the expected value for the number of people that say yes is given by:

E(X) = np = 15 x 0.32 = 5.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer:

y= -12/x + 3

Step-by-step explanation:

Here's my answer

Answer:

A= 57.79 degrees

B= 32.58 degrees

C= 89.63 degrees

Step-by-step explanation:

hope this helps!

Answer:

A. 57.79

Got it right on Plato

Answer:

Multiply 20%, or 1/5, times 200 to get about 40 students.

Step-by-step explanation:

You fill in the rounded numbers you got already, like the 19% to 20%, and the 205 to 200. You substitute the information into the blanks to get the answer.

I hope this helps and please mark me as brainliest!

Answer: cone

Step-by-step explanation:

The bottom figure is a cylinder. A cylinder is basically a rectangle wrapped around two circles.

The top figure is a cone. A cone’s net looks like a triangle with a curved base wrapped around a circle. If you don’t believe the top figure is a cone, think about what ice cream cones look like. The top figure is a cone.

Answer:

y=x/2

Step-by-step explanation:

hope u have a good day! pls give brainliest

Answer:

7C

Step-by-step explanation:

Answer:

Michelle walks 1 4 hour every day of the week (Monday through Sunday). Sandra walks 2 4 hour per day, but only on weekdays (Monday through Friday). Both Michelle and Sandra continue their routines for 9 weeks. Calculate who walked the most over this 9 week period, and calculate how much more time this person walked than the other person. Be sure to show how you calculated each person's total walking time as a mixed fraction, and show how you calculated how much more time was walked by either Michelle or Sandra as a mixed fraction. this is a word problom

Answer:

people are not doing it it's because that it's multiplying mixed numbers by whole numbers and we don't really need to do that

Step-by-step explanation:

Answer:

about 11

Step-by-step explanation: