Evaluate 8a - 1 + 0.5b when a = 1/4 and b = 10

Answer:

314.15926 square feet

Step-by-step explanation:

Formula for sphere surface area =  4*π r^2

radius = (1/2)*diameter = (1/2)* 10 feet = 5 feet

Area =  4* π*(5)^2 = 100π = 314.15926 square feet

Final answer:

The surface area of a sphere with a diameter of 10 ft is 100π square feet, or approximately 314.16 square feet.

Explanation:

The surface area of a sphere can be calculated using the formula 4πr², where r is the radius of the sphere. Given that the diameter of the sphere is 10 ft, the radius is half of that, which is 5 ft. Plugging the radius into the formula, we get the surface area as 4π(5 ft)² = 4π x 25 ft² = 100π ft². Therefore, the surface area of the sphere with a diameter of 10 ft is 100π square feet, which is approximately 314.16 square feet when π is approximated to 3.1416.

Answer:

B, C, E

B- Use the formula A = b h to find the area of the base.

C- Use the formula V = B h to find the volume of the prism.

E- The volume of the prism, V is (228) (6) = 1,368 feet cubed.

Step-by-step explanation:

Just did it on edge 2020 i hope it helps :)

A rectangular prism with a length of 9 and one-half feet, the width of 24 feet, and a height of 6 feet. The steps should be taken to calculate the volume of the prism; B, C, E.

Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:

[tex]V = a\times b \times c \: \: unit^3[/tex]

A rectangular prism with a length of 9 and one-half feet, the width of 24 feet, and a height of 6 feet.

The steps should be taken to calculate the volume of the prism;

B- Use the formula A = b h to find the area of the base.

C- Use the formula V = B h to find the volume of the prism.

E- The volume of the prism,

    V = (228) (6)

       = 1,368 feet cubed.

Learn more about the volume of a right rectangular prism here:

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Answer:

The answer is (-5,4).

Answer:

v To the power of 18

Step-by-step explanation:

N A

Answer:

v to the power of 18

Step-by-step explanation:

Answer:

The recipe required 50 grams of cheese

Step-by-step explanation:

Here in the question, we are made to know that she increased all ingredients by 60%.

Now we want to know the original mass of the cheese if she used 80grams after the 60% increment.

Mathematically, the formula for percentage increase is;

% increase = increment/old value * 100%

Where increment is new value - old value

since we do not know the old value, we can say that it is x. This means that the increment is 80-x

Hence;

60= (80-x)/x * 100

60x = 100(80-x)

60x = 8000-100x

100x + 60x = 8000

160x = 8000

x = 8000/160

x = 50g

Answer:

First statement is correct

Step-by-step explanation:

Segment AB is tangent to the circle C because [tex] 3^2 +4^2 =5^2 [/tex]

Answer:

10.8; 10.8; 33.912

Step-by-step explanation:

Diameter = 2 × 5.4

10.8 cm

Circumference = pi × d

10.8pi cm

10.8 × 3.14

33.912

Answer:

The diameter is 14 mm the circumference in terms of Pi is

14 and the last question answer is 44.0 mm

Step-by-step explanation:

Answer:

  15

Step-by-step explanation:

Let x represent the number of hours it takes the larger hose to fill the pool. Then each hour, it contributes 1/x of the pool volume. Similarly, the other hose contributes a volume of 1/(1.5x) each hour.

The two hoses together contribute a volume of 1/9 of the pool volume each hour:

  1/x +1/(1.5x) = 1/9

  2.5/(1.5x) = 1/9 . . . . combine the fractions

  22.5/1.5 = x . . . . . . multiply by 9x

  15 = x

It takes the larger hose 15 hours to fill the pool alone.

Answer:

What is your exact question?

Step-by-step explanation:

Explanation:

The notation [tex]A \cap B[/tex] means "the overlapped region between circles A and B". There is only one value in this region, and it is the "8". This is in the lower half of this region as the upper half is empty.

There are 12 values in the set {2,4,6,8,10,12,14,16,18,20,24} which we can see by counting them out, or we can note how 24 = 2*12 and how we started with 2 = 2*1. So basically we have...

So again we have 1 value in the overlapped region between A and B, out of 12 values total. So that's why the answer is 1/12.

For this case we have that by definition, the area of a rectangle is given by:

[tex]A = w * l[/tex]

Where:

w: Is the width of the rectangle

l: is the length of the rectangle

According to the data of the statement we have:

[tex]A = 81-x ^ 2\\w = 9-x[/tex]

So, the length is given by:

[tex]l = \frac {A} {w}\\l = \frac {81-x ^ 2} {9-x}[/tex]

We factor the numerator:

[tex]l = \frac {(9 + x) (9-x)} {9-x}[/tex]

We simplify:

[tex]l = 9 + x[/tex]

So, the length is [tex]9 + x[/tex]

Answer:

[tex]9 + x[/tex]

Answer:

A) 0.47 km

B) 4.88 km

C) 6.25°

Step-by-step explanation:

Please refer to the attached image for explanations

Answer:600

Step-by-step explanation:

There are 60 seconds in one minute so you would need to multiply 60 by 10

A car traveling at a steady speed of 10 m/s will cover a distance of 600 meters in one minute.

The distance covered by a car moving at a steady speed can be calculated from the simple physics formula for speed: speed = distance/time. In this case, the speed of the car is given as 10 m/s, and the time is given as 1 minute. However, time needs to be in the same units as the speed, so we need to convert minutes to seconds. As one minute is equal to 60 seconds, we can use this conversion. Now, to solve for distance, we rearrange the equation to look like: distance = speed * time. Substituting the given speed and time, we get: distance = 10 m/s * 60 s = 600 m. Therefore, a car traveling at a steady speed of 10 m/s will cover a distance of 600 meters in one minute.

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D. Not enough info

Angles N and P are supplementary (125º + 55º = 180º) but this doesn't tell us anything about the measures of angles M and Q. The edge MQ of the quadrilateral is not guaranteed to be parallel to NP.

For example, we can move vertex M anywhere along MN and still preserve the measures of angles N and P.

Answer:

D) Not enough information is given

Step-by-step explanation:

For it to be a parallelogram, MN and PQ should be equal in length.

Angles P and M should be equal

Angles N and Q should be equal.

But no such information is provided

Answer:

Option C : the midpoint of the segment

Step-by-step explanation:

1.Draw a Circle of any radius.

2.Take a point outside on the circle.

3.Draw a line segment Joining center to the point lying outside.

4.Draw the perpendicular bisector of that line segment.

5.Keep one end of the compass on the midpoint of the line segment, and other end of the compass on the center or other end of line segment,and draw a circle.

6.The points where this circle,cuts the circle drawn in the beginning,are the points,from where you can draw tangents which will intersect at the point which lies outside that we have taken in the beginning.

Option C : the midpoint of the segment

Answer:

third one

Step-by-step explanation:

Hello,

This question is very easy. :) If she use phone everyday at 45 minutes, x days => 45x use.

Later x day, She use 540 minutes.

be 45x=540

x,

540/45 = 12

We see in the link:

https://brainly.com/question/16038184?answeringSource=feedPersonal%2FhomePage%2F7

Good lessons!

Final answer:

The correct equation that expresses how many days Meghan used her cell phone is 45n = 540. By dividing both sides by 45, we find that n = 12, indicating she used her cell phone for 12 days.

Explanation:

The question is asking to find the equation that represents the number of days Meghan used her cell phone, given that she used it for 45 minutes each day and the total usage was 540 minutes. To solve this, you would set up an equation where the number of days (n) times the daily usage (45 minutes) equals the total usage (540 minutes).

Therefore, the correct equation would be 45n = 540.

To find out how many days she used her cell phone, you would divide both sides of the equation by 45:

45n / 45 = 540 / 45

n = 12

This means Meghan used her cell phone for 12 days.

Answer:

200 to 234$ depending on how much less than 450

Step-by-step explanation:

450-215=235

Answers and Step-by-step explanations:

1. We need to plug in values of x into the functions f(x) and g(x):

f(2) = 2.5 * 2 - 10.5 = -5.5                         g(2) = [tex]64 * (0.5^2)[/tex] = 16

f(3) = 2.5 * 3 - 10.5 = -3                            g(3) = [tex]64 * (0.5^3)[/tex] = 8

f(4) = 2.5 * 4 - 10.5 = -0.5                         g(4) = [tex]64 * (0.5^4)[/tex] = 4

f(5) = 2.5 * 5 - 10.5 = 2                             g(5) = [tex]64 * (0.5^5)[/tex] = 2

f(6) = 2.5 * 6 - 10.5 = 4.5                          g(6) = [tex]64 * (0.5^6)[/tex] = 1

2.

(a) Notice that at 14 on the x-axis, the blue line is above 4. Meanwhile, at 14, the red line is less than 2. Obviously, we can see that if the printed ad revenue was less than 2 and the online ad revenue was greater than 4, that's more than a double, so the lead marketing executive is correct.

(b) The approximate year that the revenues were equal is the place where the lines intersect. It's approximately at Year 7.5.

3.

(a) The Western Beach is clearly decreasing; it is decreasing by 2 ft per year. Meanwhile, the Dunes Beach is clearly increasing; it's increasing by 5 ft per year. (I'm not sure what kinds of "patterns" you're looking for).

(b) Year 11 and 12; this is because here, Western is going from 78 to 76 ft and Dunes is going from 75 to 80, so they'll likely coincide sometime in that time interval.

(c) One thing you can do is to create equations (of the form y = mx + b) for each of the beaches and then set those linear equations equal to each other.

Answer:

Page 1:

f(2) = -5.5

f(3) = -3

f(4) = -0.5

f(5) = 2

f(6) = 4.5

Notice the values are increasing by 2.5

g(2) = 16

g(3) = 8

g(4) = 4

g(5) = 2

g(6) = 1

Notice the values are getting divide by half

Page 2:

A:

At 14 years, the revenue for online ads are a little over 4 million dollars. However, for printed ads, the revenue is only about 1.5 million dollars.  If you double 1.5 million, you will only get 3 million. That is less than 4 million. So, the lead marketing executive was correct.

B:

The approximate year that the two revenues were equal was approximately 7 and a half (or 7.5).

Page 3:

A:

For the Western Beach, the width is decreasing by exactly 2 feet per year. For the Dunes Beach, the width is increasing by exactly 5 feet per year.

B:

The beaches will have the same width somewhere between years 11 and 12.

C:

A good way to get an even better approximation on when these beaches will have the same width, is to write them in slope-intercept form. The Western Beach equation will look like f(x) = -2x + 100 and the Dunes Beach equation will look like g(x) = 5x + 20.

Answer:

5 km/h

Step-by-step explanation:

In this problem, Lashonda swam 4 km against the current. So the distance covered in this case is

[tex]d_1=4 km[/tex]

Calling [tex]v[/tex] the velocity of Lahonda without the current, and [tex]c[/tex] the velocity of the current, in this situation Lahonda's velocity is

[tex]v-c[/tex]

So we can write:

[tex]t_1=\frac{d_1}{v-c}[/tex]

where [tex]t_1[/tex] is the time taken to cover the distance.

When Lashonda swims with the current, her velocity is

[tex]v+c[/tex]

So we can write

[tex]t_2=\frac{d_2}{v+c}[/tex]

where

[tex]d_2=16 km[/tex] is the distance covered in this case, and [tex]t_2[/tex] the time taken.

The velocity of the current is

[tex]c=3 km/h[/tex]

Since Lashonad takes the same time to cover the two distances,

[tex]t_1=t_2[/tex]

So we can write

[tex]\frac{d_1}{v-c}=\frac{d_2}{v+c}[/tex]

And solving for v, we find Lashonda's velocity without the current:

[tex]d_1(v+c)=d_2(v-c)\\d_1 v+d_1c = d_2v-d_2c\\v(d_2-d_1)=c(d_1+d_2)\\v=\frac{d_2+d_2}{d_2-d_1}c=\frac{16+4}{16-4}(3)=5 km/h[/tex]

Final answer:

To find Lashonda's swimming speed without the current given the rate of the current and the distances swam with and against it.

Explanation:

The rate of the current is 3 kilometers per hour. To find the speed of Lashonda without the current, we can set up equations using the formula: speed = distance/time.

Let's denote Lashonda's speed in still water as x kilometers per hour. When swimming against the current, her effective speed is x - 3 km/h, and when swimming with the current, her effective speed is x + 3 km/h.

By setting up and solving the equations, we find Lashonda's speed without the current is 9 kilometers per hour.

Answer: 196 less than or equal to 7

Step-by-step explanation:

Answer:

6 if pedro and his two brother will have coins. If he doesnt get any for himself and gives it all to his brothers then they each get 9.

Step-by-step explanation:

I used my calculator.

Answer:

You need to add the Y  to the equation to make it complete.

Answer:

f(x) =-1 (x –3 )(x +4 )

Step-by-step explanation:

bc yes

Answer:

  (0, 9)

Step-by-step explanation:

The circle defined by the equation ...

  (x -h)^2 +(y -k)^2 = r^2

has its center at (h, k).

We think your circle's equation is ...

  x^2 + ( y − 9 )^2 = 81

so it would have its center where h = 0 and k = 9.

The center is (0, 9).

_____

Comment on the question

Sometimes, copying and pasting seems to cause things to be repeated 3 times, usually in different formats. It would be nice to have one clean copy of the equation, so we can easily tell what it is supposed to be. Editing may be required, to make sure all necessary math symbols are included.

Answer:

the whitebord is cool

Step-by-step explanation:

fun cool! 1234567890

By substituting the expression for f(x) into g(x), g(f(x)) simplifies to -x^2 + 4. The coefficient of x^2 is inherited from f(x), and the constant term changes due to the addition in g(x).

To find g(f(x)), substitute the expression for f(x) into g(x):

g(f(x)) = g(-x^2 - 1)

Now, replace x in g(x) with -x^2 - 1:

g(f(x)) = (-x^2 - 1) + 5

Combine like terms:

g(f(x)) = -x^2 + 4

So, the given expression g(f(x)) = -x^2 + 4. The coefficient of x^2 remains -1 from f(x), and the constant term changes from -1 to +4 after adding 5 in the expression g(x).

Here g(f(x)) simplifies to -x^2 + 4, where the coefficient of x^2 is inherited from f(x), and the constant term changes due to the addition in g(x).

Answer:

yes

Step-by-step explanation:

i think so, im very sorry if its wrong

Answer:

Yes

Step-by-step explanation:

Answer:

B. A quadrilateral with 2 pairs of equal length

Step-by-step explanation:

analyzing the options:

Answer:

B.a quadrilateral with 2 pairs of equal length

Step-by-step explanation:

A rhombus is a quadrilateral with 4 equal sides in length. A quadrilateral is a closed figure or shape with 4 sides . Other quadrilaterals are parallelograms, square and rectangle .

Opposite sides of a rhombus are parallel and opposite angles are equal. The diagonals meet at the center to form a right angle. The best description of a rhombus among the option is that it is a quadrilateral with 2 pairs of equal length.  

Note polygon is too broad to be used to describe a rhombus .Moreover rhombus is not a regular polygon since all the angles are not equal.  

Answer: The answer would be .03 or A.

Step-by-step explanation: You add all of the marbles up to get a total of 10 then you divide 10 by 3 and you get 3.333333333 but then you just take off the 3 before the decimal. DONT USE THIS ON ANY OTHER EQUATIONS!!! This only happens to work with this equation!!!

Answer:

B

Step-by-step explanation:

i hate edgunity too

Answer: b

Step-by-step explanation:

Answer:

-1.13 m/s

Step-by-step explanation:

Parameters given:

Mass of first footballer, M = 92 kg

Initial velocity of first footballer, U = 6.5 m/s (taking North to be the +ve y axis)

Mass of second footballer, m = 85 kg

Initial velocity of second footballer, u = -6.0 m/s (taking South to be the -ve y axis)

Final velocity of first footballer, V = 2.0 m/s

We need to find the final velocity of the second football (v)

Applying the principle of conservation of momentum, we have that, in a system:

Total Initial Momentum = Total Final Momentum

(M * U) + (m * u) = (M * V) + (m * v)

(92 * 6.5) + (85 * -6) = (92 * 2) + (85 * v)

598 - 510 = 184 + 85v

88 = 184 + 85v

88 - 184 = 85v

-96 = 85v

=> v = -96 / 85

v = -1.13 m/s

The final velocity of the 85 kg player is -1.13 m/s i.e 1.13 m/s South

Final answer:

To find the unknown velocity of the 85.0 kg football player after the collision, we use the conservation of momentum, setting up an equation based on the initial and final momenta of both players and solving for the unknown velocity.

Explanation:

The question concerns the topic of conservation of momentum during a collision between two football players, which falls under the category of Physics. To solve for the velocity of the 85.0 kg football player after the collision, we can use the principle that the total momentum before the collision is equal to the total momentum after the collision in an isolated system.

The total momentum before the collision can be calculated as follows:

Momentum of the 92.0 kg player = mass × velocity = 92.0 kg × 6.50 m/s (North).

Momentum of the 85.0 kg player = mass × velocity = 85.0 kg × 6.00 m/s (South).

Since they are moving in opposite directions, we assign a positive direction (e.g., north) as positive momentum and the opposite direction (south) as negative momentum.

The total momentum after the collision consists of:

Momentum of the 92.0 kg player = 92.0 kg × 2.00 m/s (North).

Momentum of the 85.0 kg player = 85.0 kg × v (where v is the unknown velocity).

By applying the conservation of momentum, we can write the equation:

(92.0 kg × 6.50 m/s) + (85.0 kg × -6.00 m/s) = (92.0 kg × 2.00 m/s) + (85.0 kg × v).

Solving for v gives:

v = [(92.0 kg × 6.50 m/s) - (92.0 kg × 2.00 m/s) - (85.0 kg × -6.00 m/s)] / 85.0 kg.

Calculate the value to find the final velocity of the 85.0 kg player.

v = 10.87 m/s