The volume of a spherical balloon is increasing at a constant rate of 3 in3/s. At what rate is the radius of the balloon increasing at the instant its radius is 2 inches?

The length of the diagonal of a square with a perimeter of 56 is 14√2.

A diagonal is the longest line that divides a plane shape into two equal parts.

To calculate the length of the diagonal of the square, first we need to find the length of the square using the perimeter formula.

Formula:

Where:

From the question,

Given:

Substitute the value into equation 1 and solve for a

Finally to find the length of the diagonal of the square, we use the formula below

Where:

Substitute into equation 2

Hence, the length of the diagonal is 14√2.

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Answer:

qfewwqeffwqfefewqwqreg

Step-by-step explanation:

Answer:

360 - 98 = 262

Step-by-step explanation:

The expression 4²(3 + 6t) is equivalent to 48 + 96t.

An expression consists of one or more numbers or variables along with one more operation. An expressiοn in math is a sentence with a minimum οf twο numbers οr variables and at least οne math οperatiοn. This math οperatiοn can be additiοn, subtractiοn, multiplicatiοn, οr divisiοn. The structure οf an expressiοn is: Expressiοn is (Number/variable, Math Operatοr, Number/variable)

Expanding the expression 4²(3 + 6t), we get:

4²(3 + 6t) = 16(3 + 6t)

Now we can distribute the 16 to get:

16(3 + 6t) = 48 + 96t

Therefore, the expression 4²(3 + 6t) is equivalent to 48 + 96t.

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Answer:

Arc DE = 70°

Arc RST = 206°

Step-by-step explanation:

arc DE + arc DC = 180° because EC is a diameter

7x + 7 + 11x + 11 = 180°

combine like terms:

18x + 18 = 180°

subtract 18 from both sides of the equation:

18x = 162°

divide both sides by 18:

x = 9

Arc DE = 7(9) + 7 = 70°

arc RST = 2(x + 103) = 2x + 206

arc RFT = 2(x + 77) = 2x + 154

arc RST + arc RFT = 360°

so:

2x + 206 + 2x + 154 = 360°

combine like terms:

4x + 360 = 360

4x = 0

x = 0

arc RST = 2x + 206 = 206°

Question 1 Answer: both of them equal 20

Step-by-step explanation: when you add 9+3 it equals 12 then you add 8 and that makes 20. 9+8 also equals 17 then you add 3 which equals 20

the surface area of the cylinder is approximately 471 dm².

Now, For the surface area of the cylinder, we need to find the lateral area  and the area of the two circular bases.

Since, The formula for the lateral area of a cylinder is

L = 2πrh,

where r is the radius of the cylinder and h is the height.

In this case, the diameter is 10 dm,

So the radius is 5 dm.

And the height is also 10 dm.

Therefore, the lateral area is:

L = 2πrh

L = 2π(5 dm)(10 dm)

L = 100π dm²

The formula for the area of a circle is

A = πr²,

where r is the radius.

In this case, the radius is 5 dm,

So the area of each base is:

A = πr²

A = π(5 dm)²

A = 25π dm²

To find the total surface area, we add the lateral area and the area of the two bases:

SA = 2(Area of Base) + Lateral Area

SA = 2(25π dm²) + 100π dm²

SA = 50π dm² + 100π dm²

SA = 150π dm²

Substitute pi as 3.14, we can calculate:

SA ≈ 150(3.14) dm²

SA ≈ 471 dm²

Therefore, the surface area of the cylinder is approximately 471 dm².

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Answer:

8.5

Step-by-step explanation:

1.35 multiplied by 10 = 13.5

13.5 - 5 = 8.5

To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

Answer:

Step-by-step explanation:

5 3/7= 38/7 (move the wholes into the fraction)

2 1/5=11/5

38/7- 11/5  we need the common denominator=35

190/35 -77/35= 113/35

=3 8/35

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

You can see angle B is much smaller than angle A because Angle B is an acute angle (smaller than 90°) while angle A isn't.

The distance to second base is approximately 127.28 feet. Round to the nearest hundredth

Since the angle is 45 degrees, the other side of the right triangle are equal, hence we have two sides of 90 ft to be used to find the hypotenuse

Using Pythagoras theorem given by the  the formula

hypotenuse² = opposite² + adjacent²

plugging the values as in the problem

let x be the required distance

x² = 90² + 90²

x² = 16200

x = √16200

x = 90√2

x = 127.28 ft (to the nearest hundredth)

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The final score of the visiting team is 4 points and the home team's points is 3 points.

The home team only scores 3 points for every 4 points the visiting team scored in the basketball game.

By the end of the game, the home team was down by 1 point.

Let's say the visiting team scored 4 points and the home team scored 3 points. Hence, the home team is down by 1 point.

Now, if the visiting team scored again.

Then the score of visiting team: 8 points and the home team: 6 points.

Hence, the home team is down by 2 points.

As we go along, the point difference between the home team and the visiting team will only increase.

Therefore, the final score of the team will be:

Visiting team = 4 points

Home team = 3 points

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Answer:

72

Step-by-step explanation:

Corresponding angles on parallel lines always have the same measure.

Answer:

c

Step-by-step explanation:

The coordinates of each points are:

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

We have,

The coordinates of each point are in an ordered form.

i.e

(x, y)

x is the x-axis value.

y is the y-axis value.

Thus,

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

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Answer:

Percent of people satisfied with the​ car  = 70%

Step-by-step explanation:

Given:

Total number of people survey = 1,400

Number of people satisfied with the​ car = 980

Find:

Percent of people satisfied with the​ car

Computation:

Percent of people satisfied with the​ car  = [Number of people satisfied with the​ car / Total number of people survey]100

Percent of people satisfied with the​ car  = [980 / 1400]100

Percent of people satisfied with the​ car  = 70%

Answer:

3.2 x 10² seconds

Step-by-step explanation:

9.6 x 10⁷ / 3.0 x 10⁵

= 3.2 x 10² seconds

Answer: Approximately 34.17%.

Step-by-step explanation: Let's divide 41 by 120. Doing so, we get 0.3466666 looping forever. We can simplify that to .3417, and then turn that into a percentage giving us 34.17%

Answer:

91

Step-by-step explanation:

Answer:

Haley completed 11/12 and has yet to finish 1/12 of her homework.

Step-by-step explanation:

\(\frac{8}{12} + \frac{3}{12} = \frac{8 + 3}{12} = \frac{11}{12}\)

Haley completed 11/12 of her homework.  To find how much she has left is simple subtraction:

\(\frac{12}{12} - \frac{11}{12} = \frac{1}{12}\)

So Haley has 1/12 of her homework left to complete.

The probability that at least 2 students feel like they can do better in their math class is E. 0.9130.

To find the probability that at least 2 students feel like they can do better, we need to calculate P(X >= 2). This can be done using the cumulative distribution function (CDF) of the binomial distribution:

P(X >= 2) = 1 - P(X < 2) = 1 - P(X = 0) - P(X = 1)

Using the binomial probability formula, we can calculate:

P(X = 0) = (5 choose 0) * 0.6^0 * 0.4^5 = 0.01024

P(X = 1) = (5 choose 1) * 0.6^1 * 0.4^4 = 0.07680

Therefore,

P(X >= 2) = 1 - 0.01024 - 0.07680 = 0.91296

Rounding this to four decimal places, we get: 0.9130

Therefore, the answer is option E: 0.9130.

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The more recent pump can clean the pool itself in 4 hours, as per the question we have.

Pumps are primarily classified into two broad categories: 1. Kinetic and dynamic pumps. Fluid passing by or through the impeller of a dynamic pump is given velocity and pressure.

Let's refer to the earlier pump's rate as "p1" and the more recent pump's rate as "p2."

The older pump took 12 hours to drain the swimming pool on its own.

Together, the two pumps' operating time equals 3 p1, or 1/12 of the pool's volume each hour.

And if the pool can be drained by the two pumps over 3 hours, so p1 + p2 equals one-third of a water's volume each hour.

We can solve for p2:

p2 = (1/3) - p1

p2 = (1/3) - (1/12)

p2 = 1/4 of the pool's volume per hour.

So the newer pump can drain the pool by itself in 4 hours.

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Answer:

60 slices

Step-by-step explanation:

1 pizza = 10 slices

6 pizzas = 10 slices * 6 = 60 slices

The 19  tykes  given away by the Shelter, that have room for only 4  tykes  per family.        

The number of different canine families that could be created from the 19  tykes  given away by the  sanctum, we need to calculate the number of combinations. room for only 4  tykes , we need to choose 4  tykes  from the aggregate of 19  tykes . The order of the  tykes  in the family doesn't count, as long as we choose different  tykes  for each family.  The number of combinations can be calculated using the formula for combinations  C( n, r) =  n!/( r!( n- r)!)  Where C( n, r) represents the number of combinations of choosing r  particulars from a set of n  particulars.  In this case, we've n =  19( total number of  tykes ) and r =  4( number of  tykes  per family).  Plugging these values into the formula, we get  C( 19, 4) =  19!/( 4!( 19- 4)!)  Calculating the factorial values  19! =  19 × 18 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 =  ! =  4 × 3 × 2 × 1 =  24  15! =  15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 =   Substituting these values into the formula  C( 19, 4) = /( 24 ×)  ≈ 91,390  The 19  tykes  given away by the  sanctum, considering that you have room for only 4  tykes  per family.

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Answer:

Function f is translated to the right 2 units, and then up 1 unit to obtain function g.

To see this, note that g(x) = (x+1)³ - 2 = (x-(-1))³ - 2. Comparing this to f(x) = (x-2)³, we see that replacing x with x+3 in f(x) gives g(x) = (x+3-2)³ = (x+1)³, so this transformation moves the graph of f(x) three units to the left. Then, adding the constant -2 to f(x) translates the graph down 2 units. Finally, adding the constant 2 to the result of the previous step translates the graph up 2 units, so the graph of g(x) is obtained by first translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:

Function f is translated to the right 2 units.

Function f is translated up 1 unit.

Function f is translated to the right 2 units, and then up 1 unit to obtain function g.

To see this, note that g(x) = √x - 2 + 1 = f(x-2) + 1. This means that the graph of g(x) is obtained by translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:

Function f is translated to the right 2 units.

Function f is translated up 1 unit.

Step-by-step explanation:

The linear equation relating the given condition is y + 10x - 62 = 0 .

Each solution in the scenario with two variables can be understood as the Cartesian coordinate system of such a point on the Euclidean plane.

Let the linear relation between the two variables  be given by y=mx + c

Now we put the values to get the constants.

58 = 2m + c

52 = 5m + c

solving we get :

52 - 5m = 58 - 2m

or, -6 = 3m

or, m = -2

Now we put those values in the equations

52 = 5m + c

or, 52 = -10 + c

or, c = 62

The equation relating the sunglasses is y + 10x - 62 = 0 .

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Answer: it's A if ur on that question six flvs question counting that was so hardddddddddddddddddddddddddddd

Step-by-step explanation:

Answer:

y=1x-7

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Using the formula

S = r∅

Where s is Arc length,l

R is radius

∅ is radian measure for angle RAD

Substituting

L = R∅

So

∅ = L/R