air is pumped into a spherical balloon at the constant rate of 200 cubic centimeters per second. how fast is the surface area of the balloon changing when the radius is 5 centimeters?

A prospective research of men and women looked at body mass index, waist circumference, and the risk of coronary heart disease.

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The old monthly payment was =  9.27 x 50 = 463.5

The new monthly payment is = 11.10 x 50 = 555

The percent increase in his monthly payment is 1.947%

Given,

Sandra Williams bought a home with a 10.25% adjustable rate mortgage for 25 years. She paid $9.27 monthly per thousand on his original loan

According to the question:

So, per thousand value of $65000 is 50000/1000 =50

Now, the old monthly payment was =  9.27 x 50 = 463.5

She decides to renew and will now pay $11.10 monthly per thousand on his loan.

So, the new monthly payment is = 11.10 x 50 = 555

The percent increase in his monthly payment is= 11.10 /9.27 - 1 x 100

19.7411 % and to nearest tenth it is 1.947%

Hence, the old monthly payment was =  9.27 x 50 = 463.5

the new monthly payment is = 11.10 x 50 = 555

The percent increase in his monthly payment is 1.947%

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The value of angle with x, given the equation on the circle, is 4) 3.

The angle is given by the expression:
31x + 3

The same angle is shown to be a right angle with the line EF being straight and therefore a right angle. Right angles have a total measure of 90 degrees.

The value of x can therefore be found by equating the expression to 90 degrees:
31x + 3 = 90

31 x = 90 - 3

x = 87 / 31

x = 2.8

x = 3

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Answer:

375

Step-by-step explanation:

h + c = 680

c = h - 70

h + h - 70 = 680

2h = 680 + 70

2h = 750

2/2 h = 750/2

h = 375

Answer:

These lines are neither parallel nor perpendicular.  

Step-by-step explanation:

Parallel lines are lines that never intersect and perpendicular intersect at a ninety degree angle.

Using desmos, you can find your solution.

I hope this helps

-No one

The value of x and y which is on midsegment of the triangle is 1 and 11.

What is midsegment?

 A triangle's midsegment is the section of the triangle's shape that connects the midpoints of its two sides. a section of a line connecting the midpoints of two triangle's sides. There are three possible midsegments in a triangle. The section of a line between the midpoints of two triangle sides is known as a midsegment. Due to the fact that triangles have three sides, they also have three midsegments. A line drawn by joining the midpoints of any two of a triangle's sides is known as the midsegment.

let us assume triangle as ABC and DE is the midsegment .

Where  DE=2x+1 and BC = 8x-2 .

According to the midsegment theorem ,

=> DE = 1/2 BC

=> 2x+1 = 1/2(8x-2)

=> 2x+1=4x-1

=> 2x=2

=> x=1

Now AB divided intp AD=3z and DB=z+22

Then, AD=DB

=> 3z = z+22

=> 2z = 22

=> z = 11.

Hence the value of x=1 and z= 11.

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Money  she will have after 52 weeks = rs.2,700

acc to our question-

Unit rate of change here is =

⇒ Unit rate of change here is =

⇒ Unit rate of change here is = 50%

Part B

Equation to calculate the amount of money Greta will have after any number of weeks = ?

Money after 'x' number of weeks =

⇒ Money after 'x' number of weeks =

Part C

Money Greta will have after 1 year= ?

In a year there are 52 weeks

So, putting x = 52 in the solution of Part B

⇒ Money after 52 weeks =

⇒ Money after 52 weeks =

⇒ Money after 52 weeks = 2,700

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The inequality shown is -4 ≤ x ≤ 3.

We are given a diagram of the number line. The diagram shows the range of the inequality. An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions. It is most commonly used to compare the sizes of two numbers on a number line. Let the variable "x" represent all the values contained in the inequality. The minimum value contained in the inequality is -4. The maximum value contained in the inequality is 3. All the values between the minimum and maximum limits are included in the inequality. Hence, we can write the following inequalities :

-4 ≤ x

x ≤ 3

We can combine these into a single inequality.

-4 ≤ x ≤ 3

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Answer:

T = 52

Step-by-step explanation:

The final balance is $97,920.

Compound interest is calculated on the principal as well as the interest accumulated over the previous period. It differs from simple interest in that interest is not added to the principal when calculating interest for the following period.

Given this, The principal is $3000.

Interest rate = 4.8%

Time = 2 years We must find the final balance.

The end balance formula is

C = P[ 〖(1+r)〗^n – 1]

C = 3000[ 〖(1+4.8)〗^2 – 1]

C = 3000 [ 〖(5.8)〗^2 – 1]

C = 3000 [ 33.64 – 1]

C = 3000 ( 32.64)

C = 97,920

Therefore the ending balance is $97,920

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Answer:

a) 4 x -3 x 2 = -24

b) -2 x 5 x -4 = 40

c) -3 x -1 x -6 = -18

Answer:

a.4 x -3 x 2 =

use the rules for multiplication

-(4×3×2)

-(12×2)

=2

----------------------------------

b. -2 x 5 x -4 =

note:

-2×5(-4)

multiplying an even number of negative terms makes the product positive.

-2×5= 10

10×-4

=40

----------------------------------

C. -3 x -1 x -6 =

note:

multiplying an odd number of negative terms makes the product negative.

-(3×1×6)

=-18

The diameter of the circle is 4.45 units.

What is circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. Every line that passes through the circle forms the line of reflection symmetry. Also, it has rotational symmetry around the centre for every angle.

A line segment having both the endpoints on the circle and is the largest chord of the circle is called diameter.

Given,

the circumference of circle = 14 units

circumference = πd

14 = 3.14(d)

14/3.14 = d

d = 4.45

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The expression for the given case can be written as  F = P - 1.2n.

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The addition and subtraction can only take place between like terms.

Given that,

The penalty for an ice skater for a fall is 1.2 points.

Suppose the total points of ice skater be P, the number of falls be n and the final score be F.

Then  following expression can be written for final score,

F = P - 1.2n

Hence, the expression for ice skater's final score is F = P - 1.2n.

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Answer:

1 : 4 : 7

15 : 60 : 105

Step-by-step explanation:

1 + 4 + 7 = 12

180⁰ ÷ 12units = 15⁰

1 unit = 15⁰

4 units = 15⁰ × 4 = 60⁰

7 units = 15⁰ × 7 = 105⁰

The length of the area is 8 feet.

What is the shape of outdoor space?

Step-by-step explanation:

Given :

Distance between the furthest corners(Length)= 4 feet

Width(breadth) = 2 feet

Area of rectangle = Length * Breadth

                              = 4 * 2

                              =8 feet

Hence, The length of the area is 8 feet.

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After 10 days, the expected number of shoppers at the shopping mall is 163.

It is given that the number of shoppers increases daily by 5% from the number of shoppers the previous day.

As we can see that the increase in the number of shoppers is going to change every day, and the above case is compounded daily.

The formula of compound increase is

Amount = Base X (1 + r/n)ⁿˣ

where,

Base = original amount

r = rate of change

n = no. of times the change occurs in the time period

t = time

Here,

Base = 100

r = 5/100

n = 1, since it changes once every day

x = 10

Therefore we get

100 X (1 + 5/100)¹⁰

= 100 X 1.05¹⁰

162.88

Since the number of people cannot be in decimal,

the expected number of people is 163

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The ordered pair which is a solution to the system of inequalities is: (-1, 0).

In order to determine which ordered pairs are true solutions based on the given system of inequalities, we would have to test each of the ordered pairs by substituting their values into the system of inequalities as follows;

For ordered pair (4, 3), we have:

-7x + 3y > -1

-7(4) + 3(3) > -1

-28 + 9 > -1

-19 > -1 (False).

For ordered pair (2, 8), we have:

-7x + 3y > -1

-7(2) + 3(8) > -1

-14 + 24 > -1

10 > -1 (True).

5x - 9y > -6

5(2) - 9(8) > -6

10 - 72 > -6

-62 > -6 (False).

For ordered pair (-1, 0), we have:

-7x + 3y > -1

-7(-1) + 3(0) > -1

7 + 0 > -1

7 > -1 (True).

5x - 9y > -6

5(-1) - 9(0) > -6

-5 - 0 > -6

-5 > -6 (True).

For ordered pair (-2, 2), we have:

-7x + 3y > -1

-7(-2) + 3(2) > -1

14 + 6 > -1

20 > -1 (True).

5x - 9y > -6

5(-2) - 9(2) > -6

-10 - 18 > -6

-28 > -6 (False).

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Answer:

x=

Step-by-step explanation:

There are 2 ways to do this.

4(3x-9)=63; 12x-36=63; 12x=99; x=8. Or: (3x-9)+(3x-9)+(3x-9)+(3x-9)=63; 12x-36=63; 12x=99; x=

Total pre-split Market Capitalization is $1,08,125,000.

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

Williams and Co. is splitting their stock at a ratio of 3:1. The pre-split price is $43.25 and the pre-split number of shares is 2.5 million.

Total Value of Shares = $43.25 Share Price × 2.5 × 10⁶ Shares

Total Value of Shares = $1,08,125,000

Let’s say the company’s board decides to approve a 3-for-1 split.

Total Shares = 2.5 × 10⁶ × 3 = 75,00,000

Share Price = $43.25 ÷ 3 = $14.416

Total Value of Shares = $14.416 Share Price × 75,00,000 Shares

Apply the multiplication operation,

Total Value of Shares = $1,08,120,000

Thus, the total pre-split Market Capitalization is $1,08,125,000.

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Answer:

First simplify the ones that need dividing

Step-by-step explanation:

So i got

-0.4, -0.6, 0.5, 4.44, 66.2

Hope this helps!

The probability Professor elderman's class of 36 has a class average below 78 is 0.9987.

Given that;

In his principles of microeconomics subject, Professor Elderman has utilized the same multiple-choice final exam for many years. He looks over the last ten years' worth of statistics and discovers that the scores have a mean of 76 and a standard deviation of 12.

µ = 76 , σ = 12 , n = 36

Using Normal Distribution;

For x = 70

z = (x - µ) / (σ/√n) = (70-76)/(12/√36) = -3.00

P( average greater than 70 ) = P(X>70)

                                               = 1 - P(X<70)

                                               = 1 - P(Z<-3.00)

                                               = 1 - 0.0013

                                               = 0.9987

The probability Professor elderman's class of 36 has a class average below 78 is 0.9987.

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It is proved that tan15°=2−√3 by using the identity of tan(A-B)

What are the 3 trignometric identities?

The right-triangle theorem, also known as Pythagoras theorem, is the foundation for the three Pythagorean trigonometric identities.

[tex]sin^{2}a+cos^{2}a=1[/tex]

[tex]1+tan^{2}a=sec^{2}a[/tex]

[tex]cosec^{2}a=1+cot^{2}a[/tex]

The reciprocal trigonometric identities are:

Sin θ = 1/Cosec θ or Cosec θ = 1/Sin θ

Cos θ = 1/Sec θ or Sec θ = 1/Cos θ

Tan θ = 1/Cot θ or Cot θ = 1/Tan θ

tan 15 = tan(45 - 30)

As tan(A - B) = (tanA - tanB)/(1 + tanAtanB)

tan15 = tan(45 - 30) = (tan45 - tan30)/(1 + tan30tan45)

                   = [tex]\frac{1 - \sqrt{3} }{1+\sqrt{3} }[/tex]

                   = [tex]\frac{1-\sqrt{3} }{1+\sqrt{3} }[/tex]   ×   [tex]\frac{1 - \sqrt{3} }{1-\sqrt{3} }[/tex]

                   = [tex]\frac{(1-\sqrt{3}) ^{2} }{1-\sqrt{3} ^{2} }[/tex]

                  =  [tex]\frac{(1-\sqrt{3}) ^{2} }{1-3}[/tex]

                 =  [tex]\frac{(1-\sqrt{3} )^{2} }{-2}[/tex]

                =  [tex]\frac{1+3-2\sqrt{3} }{-2}[/tex]

                 = [tex]\frac{4-2\sqrt{3} }{-2}[/tex]

                 = 2-[tex]\sqrt{3}[/tex]

Hence it is proved that tan15°=2−√3

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Answer:

Step-by-step explanation:

When dividing, you always have to make sure that your remainder
(40) is ALWAYS less than your divisor (24)

24<40, so the students' answer is incorrect.

The coupon that gives the lower price, based on the percentage discounts is Coupon B.

To find the coupon that gives the lower price, apply the coupons to the price of the bicycle to see which value would be less after the coupon is applied.

Coupon A value after discount is:

= 81 x ( 1 - discount)

= 81 x ( 1 - 20%)

= $64.80

Coupon B value after discount is:

= 81 - 19

= $62

The coupon that gives the lower price is Coupon B.

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Answer:

x=10

Step-by-step explanation:

3(4x-12)=84

12x-36=84

   +36. +36

12x=120

/12.  /12

x=10

Hopes this helps please mark brainliest

The radius of the given circle is 7.5 units.

So, use the Pythagorean theorem:

Now, calculate as follows:

So, the diameter is 15 units.

Then the radius is:

Therefore, the radius of the given circle is 7.5 units.

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Answer:

The second answer:

5cubrt10 + 4cubrt10

Step-by-step explanation:

In order to get a cubrt10 answer you have to add cubrt10's.

The first answer has squareroots, so that's a no.

The last two have cubrt + sqrt, which cannot be simplified.

5cubrt10 + 4cubrt10 = 9cubrt10

(-π/2 , π/2) is the restricted domain on the tangent function that allows us to build the arctangent (inverse tangent) function.

As, we know that the Tangent function is neither an One-One nor Onto function. So, the domain should be restricted to obtain the inverse function of the Tangent function.

Domain of the tangent function be, R - {(2n+1)π/2}

Range of the tangent function be, R

Now, to build the inverse tangent function we have to restrict the domain so that, the function will be one-one and onto both.

So, the restricted domain be (-π/2 , π/2).

In the domain (-π/2 , π/2), the tangent function is one-one and onto both and hence, we can build the inverse tangent function i.e. arctangent.

So, (-π/2 , π/2) is the restricted domain on the tangent function that allows us to build the arctangent (inverse tangent) function.

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