Circle O has a circumference of approximately 25077 ft.
Nhat is the approximate length of the diameter o?
40 ft
O 80 ft
0 125 ft
250 ft

Answer:

4, 2, 9, 3, 6

Step-by-step explanation:

756/4= 189

756/2= 378

756/9= 84

756/25= 30.24

756/5= 151.2

756/8= 94.5

756/10= 75.6

756/3= 252

756/6= 126

Answer:

Rational 7.8

Irrational Sqrt(61) approx=7.81

Step-by-step explanation:

7.8 is a rational number because it is a terminating decimal. (That is, it ends; after the 8 there are no more numbers) Also, it can be written as a ratio, 7 4/5.

Squareroot(61) is irrational because it cannot be written as a ratio. Its decimal equivalent goes on forever without repeating or ending.

Answer:

MRP = Maximum retailers price

Step-by-step explanation:

The similar fractions to \(1\frac{1}{5}\) are 12/10, 18/15, 24/20, 30/25, 36/30 etc

A fraction is a part of a whole number, and a way to split up a number into equal parts.

Given that, a fraction, \(1\frac{1}{5}\)

Converting into improper fraction,

\(1\frac{1}{5}\) = 6/5

So, similar fraction to 6/5 are,

12/10, 18/15, 24/20, 30/25, 36/30 etc

Hence, the similar fractions to \(1\frac{1}{5}\) are 12/10, 18/15, 24/20, 30/25, 36/30 etc

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(a). The Tanakas paid a total of $523,906.40 for the townhome.

(b). The Tanakas paid $206,906.40 in interest on their mortgage over the 15-year period.

Simple interest is the type of interest that is calculated on the principal amount only.

It is a fixed percentage of the principal amount that is charged or earned over a certain period of time, without any compounding of interest.

(a) The total amount they ended up paying for the townhome is the sum of the down payment and the total amount of the mortgage payments.

Down payment = $41,000

Total amount of mortgage payments = monthly payment x number of payments = $2675.04 x 12 months/year x 15 years = $482,906.40

Total amount paid = down payment + total amount of mortgage payments = $41,000 + $482,906.40 = $523,906.40

(b) The amount of interest paid on the mortgage can be calculated by subtracting the principal (the amount borrowed) from the total amount paid.

Principal = Total cost of townhome - Down payment = $358,000 - $41,000 = $317,000

Total interest paid = Total amount paid - Principal = $523,906.40 - $317,000 = $206,906.40

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The expression for h(x) is,

⇒  h (x) = √(x - 2) + 4

Now, Given that;

Initially the graph f (x) is shifted horizontally to the right.

When the graph shifts to right the function then becomes

f (x) → f (x-b)

Where b is the units by which it is shifted towards right .

So, in the figure we can see that it is shifted 2 units to the right .

So, f(x) → f(x-2)

Since f(x) is,

⇒ f (x) = √x

So, f (x-2) = √x - 2

Now, the new obtained graph is again shifted vertically upward

When the graphs shifts upward;

⇒ f(x) → f(x) + b

where b is the units by which it is shifted upward

So, our obtained f(x-2) when shifted upward by 4 units so using the above given transformation of upward shift

i.e. f(x) → f(x) + b

So, Our new graph h(x) = f(x-2) + 4

⇒  h (x) = √(x - 2) + 4

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The solution of the simultaneous equation is given by x = (15 + z - 4y )/2

A system of linear algebra (or linear system) is a collection of one or more numerical solutions using the same variables. is a set of three equations with the variables x, y, and z.

The answer to a linear system is to give each variable a value that simultaneously satisfies all of its equations. The solution to the above system is given by the ordered triple that comes after.

Even though the coefficients of equations are typically real or complex figures and the solutions are sought in the same set of numbers, the theory and methods are applicable to coefficients and solutions in any field.

the given equation is 2x + 4y − z = 15

we add z to both sides

2x+4y = 15 +z

we subtract 4y from both sides

2x = 15 +z - 4y

now we divide throughout by 2

x = (15 + z - 4y )/2.

hence the value of x is (15 + z - 4y )/2

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Answer:

x = 6

Step-by-step explanation:

3x - 7 = 11

3x = 11 + 7

3x = 18

x = 6

Answer:

Negative

Step-by-step explanation:

Goes down from left to right

The rational numbers are given as follows:

To order the rational numbers, we must convert the fractions to decimal, dividing the numerator of the fraction by the denominator.

The conversion of each number is given as follows:

Hence they are ordered as follows:

7/15, 6/10, 5/3, 25/5.

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The required probability of drawing a red marble from the bag and any specific card from the deck is 1/156.

There are 12 marbles in the bag, and 4 of them are red, so the probability of drawing a red marble is 4/12, or 1/3.

There are 52 cards in the deck, and the probability of drawing any specific card is 1/52.

This probability assumes that the events are independent, meaning that the outcome of one event does not affect the outcome of the other event.

In this case, drawing a marble from the bag and drawing a card from the deck are independent events, so their probabilities can be multiplied.

Therefore, the probability of drawing a red marble from the bag and any specific card from the deck is (1/3) x (1/52) = 1/156.

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The depth of the aquarium is approximately 4 feet when rounded to the nearest whole number (since 3.64 is closer to 4 than it is to 3 when rounded to the nearest whole number).

To calculate the depth of the aquarium, we need to use the formula for volume of a rectangular prism,

which is V = lwh where V is the volume, l is the length, w is the width, and h is the height (or depth, in this case).

Given that the aquarium holds 11.35 cubic feet of water, the volume of the aquarium can be represented by V = 11.35 cubic feet.We are also given that the length of the aquarium is 2.6 feet and the width is 1.1 feet.

Substituting these values into the formula for volume,

we get:11.35 = 2.6 × 1.1 × h

Simplifying this expression:

11.35 = 2.86h

Dividing both sides by 2.6 × 1.1,

we get:h ≈ 3.64 feet (rounded to two decimal places)

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hello

the answer to the question is:

x³ - 3x² + 3x - 1 > (3/2)x(x - 1)² ---->

(x - 1)³ > (3/2)x(x - 1)² ----> x - 1 > (3/2)x ---->

(1/2)x < - 1 ----> x < 2

Answer:

Step-by-step explanation:

By the Pythagorean theorem, the square of one leg plus the square of the other leg is equal to the square of the hypotenuse.

so:

hypotenuse = \(\sqrt{2^{2}+10^{2} }\)= 10.198 (approximated)

Hope that helps!

Answer:

10.2 centimeters

Step-by-step explanation:

Given the following question:

A = 10cm
B = 2cm

In order to find the answer, we will use the Pythagorean theorem.

\(c=\sqrt{(a^2+b^2)}\)
\(c=\sqrt{10^2+2^2}\)
\(10^2=10\times10=100\)
\(2^2=2\times2=4\)
\(c=\sqrt{100+4}\)
\(100+4=104\)
\(\sqrt{104}\)
\(\sqrt{104}=10.198039\)
Round to the nearest tenth:
\(10.198039\)
\(9>5\)
\(10.2cm\)

Your answer is "10.2 centimeters."

Hope this helps.

Answer:

a. 2 – 8 - [- 4 – (-6 + 3 -9)] X ( -10 ÷2) suprimir los signos de agrupacion

Step-by-step explanation:

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Answer:90 shirts

Step-by-step explanation: do 1.5 x 1.6 = that answer and + 60 to that answer ok

Answer: Solution is in the photo

9514 1404 393

Answer:

Step-by-step explanation:

One way to do this rounding is to add $0.50, then drop the decimal portion of the sum.

  $219.49 +0.50 = $219.99 ⇒ $219 . . . Mike's price

  $279.97 +0.50 = $280.47 ⇒ $280 . . . Jake's price

  $234.95 +0.50 = $235.45 ⇒ $235 . . . Aaron's price

We have the equation:

We can isolate x passing all the terms with x to one side and the numbers to the other side:

Among the given options, 90 degrees (option A) is not a solution to the equation sin(2θ) = 1. The equation sin(2θ) = 1 represents the values of θ for which the sine of twice the angle is equal to 1. To determine which option is not a solution, we need to evaluate each choice.

A) 90 degrees: If we substitute θ = 90 degrees into the equation sin(2θ) = 1, we get sin(180 degrees) = 1. However, sin(180 degrees) is actually 0, not 1. Therefore, 90 degrees is not a solution to the equation sin(2θ) = 1.

B) 45 degrees: Substituting θ = 45 degrees gives sin(90 degrees) = 1, which is true. Therefore, 45 degrees is a solution to the equation sin(2θ) = 1.

C) 225 degrees: When we substitute θ = 225 degrees, we get sin(450 degrees) = 1. However, sin(450 degrees) is also 0, not 1. Thus, 225 degrees is not a solution to sin(2θ) = 1.

D) -135 degrees: Similarly, substituting θ = -135 degrees gives sin(-270 degrees) = 1. However, sin(-270 degrees) is 0, not 1. Hence, -135 degrees is not a solution to the equation sin(2θ) = 1.

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Answer:

The price of the robotics kit should be $34 dollars

Step-by-step explanation:

First we have to find out what 25% and 15% of 40 is.

25% of 40 = 10

15% of 40 = 6

Next we have to add 10 plus 6 then subtract 40 by it.

10 + 6 = 16

40 - 16 = 34

So, the robotics kit should cost 34 dollars after both discounts.

Answer:

10i and 7i

Step-by-step explanation:

Step-by-step explanation:

(12-5i)+(-3+4i)

12-5i-3+4i

12-3-5i+4i

9-1i

Hope it helps

Answer:

Statement F is true

Step-by-step explanation:

Let x represent number of yoga classes

Let y represent total cost

Let m represent the additional fee per yoga class

Let b represent the membership fee

y=mx+b

Notice that after every 2 classes, the price goes up by 7.5 so m=7.5/2

m=3.75

Thus the first statement is true

Note you can also find the membership fee if you plug this in with some points

y=mx+b

67.5=3.75(6)+b

b=45 so membership fee is $45

If the base triangle has a base of 8 meters and a height of 6.9 meters. the surface area of the pyramid is 139.6 square meters.

First, let's find the area of the base triangle:

Area of base triangle = (1/2) * base * height

Area of base triangle = (1/2) * 8 * 6.9

Area of base triangle = 27.6 square meters

Now, let's find the area of one of the triangular faces:

Area of triangular face = (1/2) * base * height

Area of triangular face = (1/2) * 8 * 7

Area of triangular face = 28 square meters

Since the pyramid has four triangular faces, the total area of the triangular faces is 4 times the area of one triangular face, which is:

4 * 28 = 112 square meters

Total surface area = area of base triangle + area of triangular faces

Total surface area = 27.6 + 112

Total surface area = 139.6 square meters

Therefore, the surface area of the pyramid is 139.6 square meters.

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Answer:

a) a + b

Step-by-step explanation:

The value of the exterior angle x will be (a+b).

The angle made by the two lines of the figure which lie on the outside of the closed figure is called the exterior angle.

The exterior angle is the sum of the two opposite internal angles of any figure.

The exterior angle in the given figure will be equal to x = a+b the sum of the two opposite interior angles.

Therefore the value of the exterior angle x will be (a+b).

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Answer:

f(-2)=(-11)

Step-by-step explanation:

f(-2)=5(-5)+14

=(-25)+14

=(-11)

Answer:

a) The initial amount a is —> 16,000

b) The percent rate of change is 6%, so the growth factor b is 1+ —> 0.06 = 1.06

c) To find the number of students enrolled after one year, you calculate 16,000 —> • 1.06

d) answer is y= 16,000 • 1.06*x

e) answer is 57,657

Step-by-step explanation:

After 22 years, there are 57,600 students will be enrolled.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The number of students enrolled at a college is 16,000 and grows 6​% each year.

We know that;

A = P (1 + r)ⁿ

Here, P = 16,000

r = 6%

n = 22 years

Hence, After 22 years, number of students will be enrolled is,

A = 16,000 (1 + 0.06)²²

A = 16,000 (1.06)²²

A = 16,000 x 3.60

A = 57,600

Thus, After 22 years, there are 57,600 students will be enrolled.

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The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

-32

Step-by-step explanation:

Let the number be x.

\(2(x+8)=-48 \\ \\ x+8=-24 \\ \\ x=-32\)