24
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Question 7
1 pts
Find the volume of the hemisphere in which the diameter is 48 yds. Round the number
to the nearest tenth if necessary.

Answer:

30 moviegoers

Step-by-step explanation:

1% of 150 is 1.5

20% of moviegoers recommend the movie

1.5 times 20 = 30

Answer:

240766 - 52731x + 840x^2 + 144x^3

Answer:

False I think

Step-by-step explanation:

Complete question :

Alana drink 3 Liters of water yesterday Jada drank 3/4 times as much water as Elena. Lin drank twice as much water as Jada.

Did Jada drink more or less water than Elena? Explain how you know

Did Lin drink more or less water than Elena? Explain how you know.

Answer:

Kindly check explanation

Step-by-step explanation:

Amount of water drank:

Elena = 3 litres

Jada's consumption = 3/4 times Elena's consumption,

Hence Jada's consumption = (3 * 3/4) = 9/4 litres = 2 1/4 litres

Lin drank twice as much water as Jada, Hence,

Lin's consumption = (2 * 9/4) = 18/4 litres = 4 1/2 litres

Did Jada drink more or less water than Elena?

Jada drank less than Elena.

Explain how you know:

Jada drank 2 1/4 litres compared to Elena, who drank 3 litres

Did Lin drink more or less water than Elena?

Lin drank more than Elena

Explain how you know.

Lin drank 4 1/2 litres, which is greater than the 3 litres drank by Elena.

After answering the prοvided questiοn, we can cοnclude that Therefοre, equatiοn the cοst οf οne apple pie is $8, and the cοst οf οne lemοn meringue pie is $20.

In mathematics, an equatiοn is a statement that implies the unity οf twο traits. An equatiοn cοnsists οf twο sides separated because οf an analytical sοlutiοn (=). Fοr instance, the debate "2x + 3 = 9" asserts that the remark "2x + 3" equals the valuatiοn "9". The gοal οf sοlving equatiοns is tο determine the amοunt οr values οf the variable in the mοdel) that wοuld allοw the equatiοn tο really be true.

Fοrmulae can be simple οr cοmplex, regular οr nοnlinear, and cοntain οne οr mοre variables. Fοr example, in the equatiοn "x² + 2x - 3 = 0," the variable x is elevated tο the secοnd pοwer. Lines are used extensively in mathematics, including algebra, equatiοns, and geοmetry.

Let x be the cοst οf οne apple pie, and y be the cοst οf οne lemοn meringue pie.

\(6x+8y=208\)

\(6x+ 2y= 88\)

\(-24x - 8y = - 352\)

\(6x + 8y = 208\)

\(-18x =-144\)

\(X = 8\)

\(6(8) +8y =208\)

\(48+8y=208\)

\(8y =160\)

\(Y= 20\)

Therefοre, the cοst οf οne apple pie is $8, and the cοst οf οne lemοn meringue pie is $20.

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Answer:

72

Explanation:

First, we can find the top and bottom smaller squares of the rectangular prism. Since we are working with a variety of rectangles, we only need to use the equation L×W.

To start with, let's multiply 2×3, which gives us 6, the surface area of both the bottom and top rectangles, so now we need to multiply it by 2 to account for both of them. 6×2=12

Now, we'll find the surface area of the bigger rectangles in the middle, which are 6 by 3, so again we will need to multiply length times width, then by 2 to count both rectangles. 6×3=18×2=36

Finally, we can find the surface area of the smaller rectangles in the middle, which are 6 by 2. 6×2=12, then multiply by 2 since there are 2 of those rectangles, 12×2=24

Now to find the total surface area, we need to add the gathered surface area from each shape, 12+36+24=72

After t=1 or t=4 seconds, the ball will reach 20 meters high.

The ball will go up to 31.25 meters high.

After 4.5 seconds, the ball will be at a height of 11.25 meters.

What is a quadratic equation?

A quadratic equation is any equation in algebra that can be rearranged in standard form as ax²+bx+c=0, where x is an unknown value and a, b, and c are known numbers.

For 19)

The given equation is h = 25t - 5t²

Now the height of the ball is 20 meters, so put h = 20, so the equation will become,

               20 = 25t - 5t²

         ⇒ 5t² -25t + 20 = 0

         ⇒ t² - 5t + 4 = 0

       finding factors, we get

              t² - 4t - t + 4 = 0

              t (t - 4) - 1(t - 4) = 0

                    (t - 4)(t - 1) = 0

                t = 4 seconds  (or) t = 1 second.

For 20)

To find the maximum height, we have to differentiate the given function with respect to the 't'

so differentiating 'h' with respect to 't', we get

 dh/dt = 25 - 10t

dh/dt = velocity.

  v = 25 - 10t,

The maximum height will attain at v = 0,

  25 - 10t = 0

   ⇒ t = 2.5 seconds

so at t = 2.5 seconds, the ball will achieve its maximum height.

put t = 2.5 in the given function, we get

         h = 25(2.5) - 5(2.5)²

         h = 62.5 - 31.25

         h = 31.25 meters.

For 21)

        Put t = 4.5 seconds,

         h = 25(4.5) - 5(4.5)²

         h = 112.5 - 101.25

         h = 11.25 meters.

Hence,

After t=1 or t=4 seconds, the ball will reach 20 meters high.

The ball will go up to 31.25 meters high.

After 4.5 seconds, the ball will be at a height of 11.25 meters.

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Answer:

$3.05 i'm pretty sure

Step-by-step explanation:

If one pound is $0.94 and she bought 3.25 pounds you multiply 3 by 0.94 and get $2.82 (we multiply by 3 to make it easier and to deal with the .25 later) then now we deal with the .25, since .25 is 1/4 in fraction just find out what 1/4 of .94 is which is .23 cents. So add $2.82 and $0.23 and you get $3.05

Answer:

a. k = 24 b. y = \(Ae^{4t} + Be^{6t}\)

Step-by-step explanation:

a. Find the value of the constant k

Since  \(y = e^{4t}\) is a solution of d²y/dt² -10dy/dt + ky = 0, then  \(y = e^{4t}\) must satisfy the equation.

So, d²y/dt² =  \(16e^{4t}\) and dy/dt =  \(4e^{4t}\)

So, d²y/dt² -10dy/dt + ky = 0

\(16e^{4t}\) - 10(\(4e^{4t}\)) + k(\(e^{4t}\)) = 0

\(16e^{4t}\) - \(40e^{4t}\) + \(ke^{4t}\) = 0

 - \(24e^{4t}\) + \(ke^{4t}\) = 0

- \(24e^{4t}\) =  -\(ke^{4t}\)

So, k = 24

b. Find the general solution to this equation.

Since k = 24, our equation is

d²y/dt² -10dy/dt + 24y = 0

The characteristic equation is thus

m² - 10m + 24 = 0

Factorizing this we have

m² - 6m - 4m + 24 = 0

m(m - 6) - 4(m - 6) = 0

(m - 6)(m - 4) = 0

m - 6 = 0 or m - 4 = 0

m = 6 or m = 4

Since we have real roots for the characteristic equation, then, the general solution is

y = \(Ae^{4t} + Be^{6t}\)

Answer:

B

Step-by-step explanation:

The equation is y=mx+b

m=slope

b=y-intercept

Answer:

b

Step-by-step explanation:

The slope intercept form of a line  is given by

y = mx+b  where m is the slope and b is the y intercept

Answer:

its A

Step-by-step explanation:

By properties of perpendicular lines and algebra properties, the slope of the line perpendicular to line ℓ is represented by m' > 1.

Let m be the slope of a line, in accordance with analytic geometry, the slope of line perpendicular to the first one is equal to m' = - 1 / m. The statement can be summarized by the following inequality:

0 < m < 1

Then, by algebra properties for inequalities we find that that slope for the perpendicular line is:

0 < m · m⁻¹ < m⁻¹

0 < 1 < m⁻¹

1 < m⁻¹

- m⁻¹ > 1

- 1 / m > 1

m' > 1

The slope of the line perpendicular to line ℓ is represented by m' > 1.

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The absolute maximum value is ln(18), and the absolute minimum value is ln(1/4).

The absolute maximum and absolute minimum values of f on the interval [-2, 1] for the function f(x) = ln(x^2 - 3x + 8) can be determined by analyzing the critical points and endpoints.

To find the critical points, we need to take the derivative of f(x) and set it equal to zero. Let's calculate the derivative of f(x) first:

f'(x) = (2x - 3) / (x^2 - 3x + 8)

To find the critical points, we set f'(x) = 0 and solve for x:

(2x - 3) / (x^2 - 3x + 8) = 0

Since the numerator can only be zero when 2x - 3 = 0, we have:

2x - 3 = 0

2x = 3

x = 3/2

Now we need to check the endpoints of the interval, which are x = -2 and x = 1.

To determine whether the critical point and the endpoints are relative maximum or minimum values, we evaluate f(x) at these points. However, before doing that, we need to check if f(x) is defined and continuous on the interval [-2, 1]. Since ln(x) is defined only for positive values of x, we need to ensure that x^2 - 3x + 8 > 0.

The discriminant of the quadratic equation x^2 - 3x + 8 is:

D = (-3)^2 - 4(1)(8) = 9 - 32 = -23

Since the discriminant is negative, x^2 - 3x + 8 is always positive. Therefore, f(x) is defined and continuous on the interval [-2, 1].

Now, let's evaluate f(x) at the critical point and the endpoints:

f(-2) = ln((-2)^2 - 3(-2) + 8) = ln(4 + 6 + 8) = ln(18)

f(1) = ln(1^2 - 3(1) + 8) = ln(1 - 3 + 8) = ln(6)

f(3/2) = ln((3/2)^2 - 3(3/2) + 8) = ln(9/4 - 9/2 + 8) = ln(1/4)

After evaluating these values, we can conclude the following:

- The maximum value of f(x) on the interval [-2, 1] is ln(18), which occurs at x = -2.

- The minimum value of f(x) on the interval [-2, 1] is ln(1/4), which occurs at x = 3/2.

Therefore, the absolute maximum value is ln(18), and the absolute minimum value is ln(1/4).

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Answer

There are 3 pairs of rectangular faces on this figure.

Total surface area = 276 cm²

Explanation

A cuboid or a rectangular prism has 3 pairs of rectangular faces.

Hence, the surface area is given as

Total surface area = 2 (LB + LH + BH)

where

L = Length of the cuboid = 7 cm

B = Breadth of the cuboid = 4cm

H = Height of the cuboid = 10 cm

Total surface area = 2 (LB + LH + BH)

Total surface area = 2 [(7×4) + (7×10) + (4×10)]

Total surface area = 2 [28 + 70 + 40]

Total surface area = 2 (138) = 276 cm²

Hope this Helps!!!

Answer:

(3r+2)(2r−5)

Step-by-step explanation:

You have to factor out the equation.

Hope this helped! :)

The equation that gives the tree's height at any time in slope-intercept form is y = (9/2)x + 5. Select 2nd option

The slope-intercept form equation of a line can be given as y = mx + c

where m is the slope and c is the y-intercept

Let y and x represent the height and time respectively

slope (m) =  y2-y1 / x2-x1

where x1 = 2, y1 = 14 and x2 = 4, y2 = 23 (from table)

m = 23-14 / 4-2 = 9/2

y = mx + c

14 = (9/2 )×2 + c

14 = 9 + c

c = 14-9 = 5

put m = 9/2 and c = 5 into y = mx + c. Thus, the equation will be:

y = (9/2)x + 5

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Answer: A and D

Step-by-step explanation: \(\sqrt{400\) is a rational number because when calculate the square root 400 you get 20. \(\sqrt\\400\) is a rational number. The area of the square would be perfect square because 20*20=400. A and D are the correct answers.

Answer: We need to know the distance each person is from the park to solve this problem. Let's call Amy's distance from the park "A" and Sebastian's distance from the park "S".

We can start the problem by using the formula distance = rate × time. Let's assume Amy's rate is "a" and Sebastian's rate is "s". Then, after 14 minutes, we have:

Amy's distance from the park = a × (14/60) miles

Sebastian's distance from the park = s × (14/60) miles

Now, we need to find the difference between their distances:

|A - S| = |a × (14/60) - s × (14/60)|

We don't have enough information to calculate a and s, but we can use the answer choices to estimate the distance. Let's plug in each answer choice and see which one gives us the closest value:

A. 0.5 miles:

|A - S| = |a × (14/60) - s × (14/60)| = |0.5 - 0| = 0.5 miles

B. 1.1 miles:

|A - S| = |a × (14/60) - s × (14/60)| = |1.1 - 0| = 1.1 miles

C. 3.6 miles:

|A - S| = |a × (14/60) - s × (14/60)| = |3.6 - 0| = 3.6 miles

D. 6.0 miles:

|A - S| = |a × (14/60) - s × (14/60)| = |6.0 - 0| = 6.0 miles

The closest answer choice is B, which gives us a distance of 1.1 miles. Therefore, the answer is B.

The probability that at least one of the three people has been vaccinated is 92.8%.

Step-by-step explanation: Given, In a large population, 54% of the people have been vaccinated. Then, the probability that one person has been vaccinated is 54/100 = 0.54.

The probability that one person has not been vaccinated is 1 - 0.54 = 0.46. The probability that all three people have not been vaccinated is (0.46)³ = 0.097336. The probability that at least one person has been vaccinated is 1 - 0.097336 = 0.902664. Hence, the probability that at least one of the three people has been vaccinated is 92.8%.

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Dissociative identity disorder is a psychological condition characterized by the presence of multiple distinct identities or personality states within an individual.

Dissociative identity disorder (DID) is a psychological condition in which an individual experiences the presence of multiple distinct identities or personality states.

These identities may have their own unique traits, memories, and behaviors, and they can take control of the person's behavior and consciousness at different times.

DID, also known as multiple personality disorder, is marked by the coexistence of different identities or "alters" within the same person. These alters may vary in age, gender, mannerisms, and even voice. They often have distinct memories, skills, and emotional responses.

The development of dissociative identity disorder is believed to be a response to severe and prolonged trauma, typically experienced during childhood.

The dissociation serves as a defense mechanism, allowing the individual to compartmentalize distressing memories and experiences.

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Answer:

17percent

Hope this helped have an amazing day!

Answer:

1) The information required in order to describe a translation of triangle ABC to A'B'C', are;

a) The coordinates of the vertices of the triangle ABC

b) The amount by which the triangle ABC is translated along the x-axis

c)  The amount by which the triangle ABC is translated along the yx-axis

2) The information required in order to describe a rotation of triangle ABC to A'B'C', are;

a) The coordinates of the vertices of the triangle ABC

b) The coordinates of the point about which the triangle ABC is to be rotated

c) The amount in degrees, the triangle ABC is to be rotated

2) The information required in order to describe a reflection of triangle ABC to A'B'C', are;

a) The coordinates of the vertices of the triangle ABC

b) The equation of the line about which the triangle ABC is to be reflected

Step-by-step explanation:

Answer:

1  7/15 or 22/15

Step-by-step explanation:

2/3 = 10/15

4/5 = 12/15

Answer:

2/15

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

As you can see, the dot on the line is the starting point and it is open.

An open dot means less than or more than. An closed dot means less than or equal to / more than or equal to.

The line is going right starting from -5, so it is more than 5.

Answer:

Q' = (-3, 3)

R' = (-5, -3)

S' = (-2, -2)

T' = (0, 1)

Step-by-step explanation:

The coordinates of the vertices of the quadrilateral are;

T(-2, 1), Q(1, 3), S(0, -2), R(3, -3)

Therefore, taking the operation on the right first, we have;

T(2, 0)QRST, gives;

T(2, 0)QRST→ T(-2 + 2, 1), Q(1 + 2, 3), S(0 + 2, -2), R(3 + 2, -3)

T(2, 0)QRST→ T(0, 1), Q(3, 3), S(2, -2), R(5, -3)

For the next process R y-axis which is the reflection about the y-axis, the preimage (x, y) becomes the image (-x, y)

Therefore, we have;

R y-axis(T(0, 1), Q(3, 3), S(2, -2), R(5, -3)) = T'(0, 1), Q'(-3, 3), S'(-2, -2), R'(-5, -3)

From which we get (Ry-axis \(\circ\) T(2, 0))(QRST =  T'(0, 1), Q'(-3, 3), S'(-2, -2), R'(-5, -3).

The fourth step of the risk assessment process is to determine current level of preparedness/mitigation.

The correct option is C.

A risk assessment is a procedure for identifying potential dangers and analyzing what might happen if one happens. A business impact analysis (BIA) is a procedure that determines the probable consequences of interrupting time-sensitive or important business processes. There are various potential hazards to be mindful of.

The ultimate goal of risk assessments is to improve workplace safety and health. However, to order to accomplish this, your risk assessment process must identify occupational hazards and eliminate or reduce the risks they represent.

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Answer:

61.504

Step-by-step explanation:

Answer:

There are £61.50 in 992

Step-by-step explanation:

Here, we shall be doing some currency conversions.Now, £31 = 500 rublesThen;£x = 992 rubles To get c, what we do is simply cross multiply £x * 500 rubles = £31 * 992 rubles £x = (£31 * 992 rubles)/500 rubles £x = £61.504which is £61.50 to two decimal places

hope this helps!!

Answer is 10/3

Hope that this was helpful :)

Step-by-step explanation:

1 ÷ 3/10

1 × 10/3

=10/3

In the problem,

the given system of linear equations are 10x1 - 7x2 = 7 ...

(i)-3x1 +2.099x2 + 3x3 = 3.901 ...

(ii)5x1 - x2 +5x3 = 6 ...

(iii)Now, the solution of the system of equation using Gauss elimination with partial pivoting with five significant digits with chopping leads to the following solution:

x1 = 1.8975, x2 = 1.6677, x3 = 2.00088So, option (d) x1 = 1.8975, x2 = 1.6677, x3 = 2.00088 is the correct answer. Therefore, option (d) is the right option.

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