What is an example of surface area?

Answer:

Step-by-step explanation:

1)Since he can lose 5 pounds per week, this is a linear rate. The weight is decreasing in arithmetic progression. The formula for determining the nth term of an arithmetic progression is expressed as

Tn = a + (n - 1)d

n = number of terms(weeks)

d = common difference(5 pounds)

a= first term(300 pounds)

The equation that could be used to find how many weeks, w, it would take for him to weigh 150 pounds would be

150 = 300 + (w - 1)5

150 - 300 = 5w - 5

- 150 + 5 = 5w

w = 145/5 = 29 weeks

2) t represents the number of hours used to fix the car. The cost of t hours is 52t. Total amount paid is 210 + 52t. The equation that could be used to find, t, the length of time it took to fix the car is

210 + 52t = 527.23

3) 52t = 527.23 - 210 = 317.23

t = 317.23/52

t = 6 hours

3) Let x represent the time it will take before you and your sister have the same amount of money. The amount that you would have in x weeks is 60 + 7x

The amount that you sister will have in x weeks is 120 + 5x. The equation would be

60 + 7x = 120 + 5x

7x - 5x = 120 - 60

2x = 60

x = 60/2 = 30 weeks

4) let L represent the length of the parking lot.

let W represent the width of the parking lot.

If the length of a rectangular parking lot is 3 times its width, it means that

L = 3W

Its perimeter is 840 yards. It means that

2(L + W) = 840

L + W = 840/2 = 420

Substituting, it becomes

3W + W = 420

4W = 420

W = 420/4 = 105

L = 3 × 105 = 315

Length = 315 yards

Answer: 40%

Step-by-step explanation:

hi

Answer: 17.5 %

Step-by-step explanation:

All of the frequency in the chart adds up to 40, and 7 out of 40 as a fraction is 17.5 %

Answer:

B.

A fraction is a fragment of a whole number, used to define parts of a whole. The whole can be a whole object, or many different objects. The number at the top of the line is called the numerator, whereas the bottom is called the denominator.

Looking at the picture, we can see that the fraction strip consists of 5 \(\frac{1}{4}\) fractions, and we add on 2 more. To find the value of the fractions together, we can use this equation:

Now, we can make an equation that best represents the question.

Therefore, the answer is B.

Answer:

[B] 5/4 + 2/4 = 7/4

Step-by-step explanation:

As we can see based on the image represented given;

It states:

⇒ Four 1/4 = 1 Whole

⇒ There are 5/4 Already(1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4 = 5/4)

⇒ Arrow that shows that it adding 2/4 Due to 1/4 + 1/4 = 2/4

Based on the given;

The equation that represented by the fraction strips is:

5/4 + 2/4 = 7/4

Hence, the answer is [B] 5/4 + 2/4 = 7/4

RevyBreeze

Since tan m = 1/2 and tan n = -6, the precise value of tan (m+n) will be 3.51.

The tangent of an angle in trigonometry is the ratio of the lengths of the adjacent side to the opposing side. In order for the value of the cosine function to not be 0, it is the ratio of the sine and cosine functions of an acute angle. The law of tangent is another name for tan. The ratio of a triangle's opposing side to its adjacent side is known as the tangent formula for a right-angled triangle. The angle's sine to cosine ratio can also be used to represent the angle.

Here,

tan m= 1/2

tan n= -6

m=tan inverse(1/2)

n=tan inverse(-6)

m=26.565 degrees

n= -80.537 degrees

n=360-80.537

n=279.463 degree

tan (m+n)=tan(26.565+279.463)

tan 306.028=3.51

The exact value of tan (m+n) will be 3.51 as the value of tan m= 1/2 and tan n= -6.

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Answer:

40%

Step-by-step explanation:

10/25 = 0.4

0.4 into a percentage is 40%

Answer:

40%

Step-by-step explanation:

25/10 = 2/5 = .4 or 40%

The set S of matrices are

a x (b+c)=a x b + a x c

(a+b)xc = a x c + b x c

for a,b,c ∈ R

The given set of matrices by s is S={A=(aij)∈M2(R):a11 =a22,a12 =−a21}

so as we all know that s is a ring with operations of matrix addition and multiplication

Matrix refers to the rectangular array of numbers consisting rows and columns. They have wide application in the fields of engineering, science and mathematics.

therefore, the set R that is equipped with two binary operation are addition and multiplication

multiplication distribution concerning addition

a x (b+c)=a x b + a x c

(a+b)xc = a x c + b x c

for a,b,c ∈ R

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Answer:

8.81

Step-by-step explanation:

Substitute x for 7 and then solve normally

{2(7)^2+7-8}/(7)+4

{(2x49)+7-8}/11

98+7-8/11

97/11

8.81

Answer:

c. 36·x

Step-by-step explanation:

Part A

The details of the circle are;

The area of the circle, A = 12·π cm²

The diameter of the circle, d = \(\overline {AB}\)

Given that \(\overline {AB}\) is the diameter of the circle, we have;

The length of the arc AB = Half the the length of the circumference of the circle

Therefore, we have;

A = 12·π = π·d²/4 = π·\(\overline {AB}\)²/4

Therefore;

12 = \(\overline {AB}\)²/4

4 × 12 = \(\overline {AB}\)²

\(\overline {AB}\)² = 48

\(\overline {AB}\) = √48 = 4·√3

\(\overline {AB}\) = 4·√3

The circumference of the circle, C = π·d = π·\(\overline {AB}\)

Arc AB = Half the the length of the circumference of the circle = C/2

Arc AB = C/2 = π·\(\overline {AB}\)/2

\(\overline {AB}\) = 4·√3

∴ C/2 = π·4·√3/2 = 2·√3·π

The length of arc AB = 2·√3·π cm

Part B

The given parameters are;

The length of \(\overline {OF}\) = The length of \(\overline {FB}\)

Angle D = angle B

The radius of the circle = 6·x

The measure of arc EF = 60°

The required information = The perimeter of triangle DOB

We have;

Given that the base angles of the triangles DOB are equal, we have that ΔDOB is an isosceles triangle, therefore;

The length of \(\overline {OD}\) = The length of \(\overline {OB}\)

The length of \(\overline {OB}\) = \(\overline {OF}\) + \(\overline {FB}\) = \(\overline {OF}\) + \(\overline {OF}\) = 2 × \(\overline {OF}\)

∴ The length of \(\overline {OD}\) = 2 × \(\overline {OF}\) = The length of \(\overline {OB}\)

Given that arc EF = 60°, and the point 'O' is the center of the circle, we have;

∠EOF = The measure of arc EF = 60° = ∠DOB

Therefore, in ΔDOB, we have;

∠D + ∠B = 180° - ∠DOB = 180° - 60° = 120°

∵ ∠D = ∠B, we have;

∠D + ∠B = ∠D + ∠D = 2 × ∠D = 120°

∠D = ∠B = 120°/2 = 60°

All three interior angles of ΔDOB = 60°

∴ ΔDOB is an equilateral triangle and all sides of ΔDOB are equal

Therefore;

The length of \(\overline {OD}\) = The length of \(\overline {OB}\) = The length of \(\overline {DB}\)  = 2 × \(\overline {OF}\)

The perimeter of ΔDOB = The length of \(\overline {OD}\) + The length of \(\overline {OB}\) + The length of \(\overline {DB}\) = 2 × \(\overline {OF}\) + 2 × \(\overline {OF}\) + 2 × \(\overline {OF}\) = 6 × \(\overline {OF}\)

∴ The perimeter of ΔDOB = 6 × \(\overline {OF}\)

The radius of the circle = \(\overline {OF}\) = 6·x

∴ The perimeter of ΔDOB = 6 × 6·x = 36·x

Answer:

true

Step-by-step explanation:

it's in the correct order

Answer:

The answer is true.

Answer:

You use the formula (y to the second power minus y to the first power minus the same formula with the two different points

Step-by-step explanation:

The equation of the graph is ,

Put x=0 implies,

Therefore, y intersept is -8.

Answer:

x = -8

Step-by-step explanation:

-2.5x - 2 = 18.

Add 2 to both sides.

-2.5x = 20.

Divide both sides by -2.5.

x = -8

Answer:

Step-by-step explanation:

Less than 0.84

Step-by-step explanation:

   Convert all numbers to decimals

   85% --> 0.85

   0.88 --> 0.88

   21/25 --> 0.84

Since these are the top three, the rest of the competitors are less than 0.84.

The two numbers whose difference is 56 and whose product is a minimum are 28 and -28, with a product of -784.

Let's assume the two numbers as x and y, where x > y.

Given that their difference is 56, we can write the equation:

x - y = 56 --------(1)

To find the product, we need to minimize the function P = xy.

We can rewrite the equation (1) as x = y + 56 and substitute it into the product equation:

P = (y + 56)y = y^2 + 56y

To find the minimum value of P, we can differentiate it with respect to y and set it equal to zero:

dP/dy = 2y + 56 = 0

Solving for y, we get:

2y = -56

y = -28

Substituting the value of y back into equation (1), we find:

x - (-28) = 56

x + 28 = 56

x = 56 - 28

x = 28

So, the two numbers are 28 and -28, and their product is (-28)(28) = -784.

Therefore, The two numbers whose difference is 56 and whose product is a minimum are 28 and -28, with a product of -784.

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x = 30

Step-by-step explanation:

Given,

y = 10, x = ?

2y+y = x → Equation no. (1)

Substitute the value of y in Equation no. (1) then,

2(10)+10 = x

20+10 = x

30 = x (OR) x = 30.

Answer:

graph your y intercept at negative 8 and then continue to go up one right one

Answer:

go down 8 then go up one over one the rest of the way. go to desmos to answer all your graphing questions.

Step-by-step explanation:

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To determine the weight of the stock fund in the minimum variance portfolio, we need to consider the standard deviations of both the stock fund and the bond fund, as well as the correlation between the two funds.

The minimum variance portfolio is a portfolio allocation that minimizes the overall portfolio's volatility or risk. The weight of each asset in the portfolio is determined based on the standard deviations of the assets and their correlation.

The formula to calculate the weight of an asset in the minimum variance portfolio is:

Weight of asset = (Standard deviation of other asset / Standard deviation of asset + Standard deviation of other asset) * (1 - Correlation)

In this case, the stock fund has a standard deviation of 16% and the bond fund has a standard deviation of 4%. The correlation between the two funds is 0.11.

To calculate the weight of the stock fund, we plug in the values into the formula:

Weight of stock fund = (4% / (16% + 4%)) * (1 - 0.11)

= (0.04 / 0.20) * (0.89)

≈ 0.178

Therefore, the weight of the stock fund in the minimum variance portfolio is approximately 17.8%.

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The correct option is B) FDE and GDH, as their corresponding angles have the same intercepted arc and, therefore, are congruent.

To determine which angles are congruent in circle D, we need to analyze the given information about the measures of minor arcs. Since minor arcs are measured in degrees, we can use the following properties:

1. When two arcs are congruent, their corresponding central angles are also congruent.

2. The measure of a central angle is equal to the measure of its intercepted arc.

Given these properties, let's examine the answer choices:

A) EDH and FDG: We cannot determine their congruency based solely on the measures of the minor arcs.

B) FDE and GDH: These angles have the same intercepted arc, so they are congruent.

C) GDH and EDH: The intercepted arcs for these angles are different, so they are not congruent.

D) GDF and HDG: These angles have the same intercepted arc, so they are congruent.

Therefore, the correct option is B) FDE and GDH, as their corresponding angles have the same intercepted arc and, therefore, are congruent.

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The numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾. The third option is correct.

The ordering of numbers refers to arranging numbers in a specific sequence based on their magnitude or value. The ordering of numbers is determined by their relative values. Comparisons are made between numbers to determine their position in the order.

12⅝ = 101/8 = 12.645

12.62 = 12.62

√146 = 12.0830

12.39 = 12.39

12¾ = 51/4 = 12.75

Therefore, the numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾.

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Answer:

180 seconds in 3 minutes

Step-by-step explanation:

in 3 minutes there is 180 seconds

both expressions 2m - 4 and 6(m - 2) represent the same area of the shaded rectangle. However, 6(2-m) does not represent the area of the rectangle, since the width of the rectangle is (m-2), not (2-m).

To determine whether the area of the shaded rectangle is 6(2-m) or 6(m-2), we need to first identify the dimensions of the rectangle.

Looking at the diagram, we see that the rectangle has a height of 2 units and a width of (m - 2) units. Therefore, the area of the rectangle is given by:

Area of rectangle = height x width

Area of rectangle = 2 x (m - 2)

Simplifying this expression, we get:

Area of rectangle = 2m - 4

So, the area of the shaded rectangle is 2m - 4, which is equivalent to 6(m-2) since:

2m - 4 = 2(m - 2) = 6(m - 2)/3 = 6(m - 2)

what is rectangle?

A rectangle is a quadrilateral with four sides and four right angles. It is a type of parallelogram where opposite sides are equal in length, and it has two pairs of parallel sides. The length of a rectangle is typically longer than its width, and the opposite sides are parallel and equal in length.

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Marcia should leave her money in the bank for approximately 11.8957 years (or rounded to 11.8957 years) to reach a balance of $400.

To determine how long Marcia needs to leave her money in the bank for it to grow to $400, we can use the formula for compound interest:

A = P * (1 + r)^n

Where:

A is the final amount ($400)

P is the initial deposit ($200)

r is the interest rate (6% or 0.06)

n is the number of years

Rearranging the formula, we have:

n = log(A/P) / log(1 + r)

Substituting the given values, we get:

n = log(400/200) / log(1 + 0.06)

n = log(2) / log(1.06)

Using a calculator, we can evaluate this expression:

n ≈ 11.8957

Rounding the answer to four decimal places, we find that Marcia needs to leave her money in the bank for approximately 11.8957 years for it to grow to $400.

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The amount of waste a cylinder can hold nearest to the whole number is 3 cubic feet.

We have,

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

A cylindrical hazardous waste container has a diameter of 1.5 feet and a height of 1.6 feet.

The amount of waste a cylinder can hold will be given by the volume of the cylinder.

The volume of the cylinder will be

V= π/4 * d²h

We have

d = 1.5 ft

h = 1.6 ft

Then

Volume =π/4 * 1.5² *1.6

             = 2.82 ft^3

             =3ft^3

Hence, The amount of waste a cylinder can hold nearest to the whole number is 3 cubic feet.

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Find the area of the circle ( top)

Area = Pi x r^2 = 3.14 x 8^2 = 3.14 x 64 = 200.96 square inches.

Volume = area of top x height

Volume = 200.96 x 25 = 5,024 in^3

Answer: C. 5,024 in^3

Answer:

C

Step-by-step explanation:

Hello!

As the exercise informs us that it has a constant rate, first we have to calculate the number of subscriptions each day. Let's do it using the formula below:

As it mentioned 330 subscriptions in 30 days, let's calculate the rate (subscriptions of each day):

As we know the rate, we just have to multiply it by the number of days that we want:

The value of -1/2(-4a - 6) + a^2 when the value of a is a = 8 is 83

The complete question is added as an attachment

The expression is given as:

-1/2(-4a - 6) + a^2

The value of a is

a = 8

So, we have:

-1/2(-4 * 8 - 6) + 8^2

Evaluate the product and the exponent

-1/2(-32 - 6) + 64

Evaluate the difference

-1/2(-38) + 64

Expand

19 + 64

Evaluate

83

Hence, the value of -1/2(-4a - 6) + a^2 when the value of a is a = 8 is 83

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Answer:

x = 0

Step-by-step explanation:

6x – 2 + 2x = 2(4x – 3) + 4

8x - 2 = 8x - 6 + 4

8x - 2 = 8x - 2

8x = 8x + 0

0x = 0

x = 0

Answer:

0=0

Step-by-step explanation:

1. Combine Like Terms

6−2+2=2(4−3)+4

8x-2=2(4x-3)+4

2. Distribute

8x-2=2(4x-3)+4

8x-2=8x-6+4

3. Add the Numbers

8x-2=8x-6+4

8x-2+8x-2

4. Add 2 to both sides of the equation

8x-2=8x-2

8x-2+2=8x-2+2

5. Simplify

8−2+2=2(4−3)+4

8x=8x-2+2

8x=8x-2+2

8x=8x

6. Subtract 8x from both sides of the equation

8x-8x = 8x-8x

Answer= 0=0

A sphere thrown upward at a 45-degree angle to the horizontal in a classroom elastically bounces off the ceiling while still rising

At time t = 0, a sphere is launched with an initial velocity at a 45-degree angle to the horizontal in a classroom. The sphere follows a parabolic trajectory as it rises due to the upward component of its initial velocity and experiences the downward pull of gravity. While the sphere is still ascending, it reaches the ceiling and collides with it.

During the elastic collision, the sphere's motion is reversed. It rebounds off the ceiling, changing its direction but maintaining its kinetic energy. As a result, the sphere starts descending with the same speed it had before the collision but in the opposite direction. The angle of descent will also be 45 degrees to the horizontal, mirroring the angle of the initial launch.

Throughout the entire process, neglecting air resistance, the total mechanical energy of the sphere is conserved since the collision with the ceiling is elastic.

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Answer:

3 times

Step-by-step explanation:

The 5 in "65.1748" is in the ones place. 5 is less than 10, 100, and 1000. 5 is greater than 1/100.