A traffic circle has a radius of 100 feet. If Kenya rides her bike around the circle, how many feet did she travel?​

Answer:

Subracting = 1/15 .  Adding = 11/15

Step-by-step explanation:

Subtracting

2/5 - 1/3

The denominators must be the same, so convert both to 15

Multiply the denominator up to 15, along with using the same multiplier for the numerator

6/15 - 5/15 = 1/15

Adding

2/5 - 1/3

6/15 + 5/15 = 11/15

Answer:

C

Step-by-step explanation:

27/8 = 3 3/8

Hope that helps

\(\\ \rm\Rrightarrow 2x+15=2x-15\)

\(\\ \rm\Rrightarrow 2x-2x=-15-15\)

\(\\ \rm\Rrightarrow 0=-30\)

Hence

\(\\ \rm\Rrightarrow x=\infty\)

Answer: B

Step-by-step explanation:

3/5 = 0.6

0.6 x 100 = 60%

\(\\ \rm\Rrightarrow -4\dfrac{1}{2}\div(\dfrac{-2}{3}\)

\(\\ \rm\Rrightarrow \dfrac{-9}{2}\times\dfrac{-3}{2}\)

\(\\ \rm\Rrightarrow \dfrav{9(3)}{4}\)

\(\\ \rm\Rrightarrow \dfrac{27}{4}\)

\(\\ \rm\Rrightarrow6 \dfrac{3}{4}\)

Answer:

\(6\frac{3}{4}\)

Step-by-step explanation:

Step 1:  Convert the division to a multiplication

\(-4\frac{1}{2} / (-\frac{2}{3})\)

\(-4\frac{1}{2} * (-\frac{3}{2})\)

Step 2:  Convert to improper fraction

\(-\frac{1+(4*2)}{2} * (-\frac{3}{2})\)

\(-\frac{9}{2} * (-\frac{3}{2})\)

\(\frac{27}{4}\)

Step 3:  Convert to mixed number

\(\frac{27}{4}\)

\(\frac{4+4+4+4+4+4+3}{4}\)

\(6\frac{3}{4}\)

Answer:  \(6\frac{3}{4}\)

Answer :C)It is nonlinear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” does not show a constant rate of change.

:) hope you have a great day!

The fourth person gains 25% in the price of the bracelet.

After deducting the gains experienced by the first three individuals, we must determine the overall percentage rise in the price of the golden bracelet.

Assume that the bracelet originally cost $100 for 100 units.

The price after the first person is 100 + 15% of 100 = 100 + 15 = 115 units since the first person makes a 15% profit.

The price after the second person is 115 + 20% of 115 = 115 + 23 = 138 units since the second person makes a 20% profit on the new price.

The price after the third person is 138 + 25% of 138 = 138 + 34.5 = 172.5 units since the third person makes a 25% profit on the new price.

The percentage increase between the original price and the final price (172.5 units) must now be calculated.

Percentage increase = (Final price - Original price) / Original price * 100

= (172.5 - 100) / 100 * 100

= 72.5%

The overall percentage increase in the price of the bracelet is 72.5%.

Since the bracelet's price increased by 85% overall, we can calculate the fourth person's percentage gain as follows:

Percentage gain by the fourth person = Total increase - Sum of gains by the first three persons

= 85% - (15% + 20% + 25%)

= 85% - 60%

= 25%

Therefore, the fourth person gains 25% in the price of the bracelet.

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Answer:

b

Step-by-step explanation:

5(2x - 1) = 6 ← distribute parenthesis on left side

10x - 5 = 6 ( add 5 to both sides )

10x = 11 ( divide both sides by 10 )

x = \(\frac{11}{10}\)

The probability of selecting a yellow disk, given the specified conditions, is 4/7.

To determine the probability of selecting a yellow disk given the conditions, we first need to determine the total number of disks satisfying the given criteria.

Total number of disks satisfying the condition = Number of yellow disks (7 through 10) + Number of red disks (1 through 3) = 4 + 3 = 7

Next, we calculate the probability by dividing the number of favorable outcomes (selecting a yellow disk) by the total number of outcomes (total number of disks satisfying the condition).

Probability of selecting a yellow disk = Number of yellow disks / Total number of disks satisfying the condition = 4 / 7

Therefore, the probability of selecting a yellow disk, given that the number selected is less than or equal to 3 or greater than or equal to 8, is 4/7.

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Answer:

\((x,y) = (65^\circ, 50^\circ)\)

Step-by-step explanation:

Let all values denote degrees.

By the exterior angle theorem, \(x + y = 115\). Moreover, because we are dealing with an isoceles triangle, \(y = 180 - 2x\). Substituting this into the former equation gives \(180-x=115\) and as such \(x=65\). Because \(x + y = 115\) we now also know that \(y=50\).

Answer:

x° = 65° & y° = 50°.

Step-by-step explanation:

115° = x° + y° ( exterior angle property )

Let's name that angle to the right of 115° as 'a'.

a = 180 - 115 = 65°. (linear pair)

Now we know that the triangle is an isosceles triangle. (given)

So this makes x° also as 65° (equal sides make equal angles).

This leaves behind y°.

y° = 180 - (65+65) = 50°.

So, x° = 65° & y° = 50°.

Answer:

48

Step-by-step explanation:

check the attached file

Answer:

The answer is -2 and 5

Step-by-step explanation:

I did the test!

Have a great day

 o-----o

 ( ' (x) ' )

c (") _ (")

:)

a =12

Answer:

Since

a

b

=

c

d

,

we can use an algebraic technique, to get the value of

a

, by isolation and using the golden rule of algebra, "Balancing the equation"

a

40

=

3

10

to isolate

a

, we must eliminate

40

in the left side of the equation by multiplying it by

40

, the golden rule of algebra states that whatever you do in a side of an equation is you also must do it in the other side to keep the equation balanced.

(

40

)

a

40

=

3

10

(

40

)

40

a

40

=

(

40

)

(

3

)

10

a

=

120

10

, we can still simplify the answer giving,

Answer:

Step-by-step explanation:

The answer is D

Answer:

32

Step-by-step explanation:

3x + 20 + 2x = 180 (angles lying on the same side of the transversal are supplementary)

=> 5x + 20 = 180

=> 5x = 180 - 20

=> 5x = 160

=> x =160/5 (by transposing)

=> x = 32

Hope you understood!!

The value of x in the given figure is 32 .

Here,

Both 2x and 3x + 20 degrees are on same side of transversal (l) .

So the both are supplementary angles.

So,

3x + 20 + 2x = 180 (angles lying on the same side of the transversal are supplementary)

So,

=> 5x + 20 = 180

=> 5x = 180 - 20

=> 5x = 160

=> x =160/5 (by transposing)

=> x = 32

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a.  If we let u = (3 - 2x), then the derivative du/dx would be -2, which is not equal to zero. This indicates that the substitution does not satisfy the requirement for u to be differentiable.

b. Michael's substitution satisfies the requirement for u to be differentiable.

(a) i. Kayla's proposed substitution of u as (3 - 2x) will not work in this case. The reason is that when using the u-substitution method, it is necessary for the chosen u to be differentiable, meaning that its derivative du/dx should exist and be non-zero. However, if we let u = (3 - 2x), then the derivative du/dx would be -2, which is not equal to zero. This indicates that the substitution does not satisfy the requirement for u to be differentiable.

ii. Kayla's idea of always picking the most inside factor as u does not work for all u-substitutions. There can be cases where choosing the most inside factor may not lead to a valid substitution that simplifies the problem or makes integration easier. It is important to consider the properties of the function and choose a suitable substitution accordingly.

(b) i. Michael's proposed substitution of u as 3√3 - 2x will work in this case. If we let u = 3√3 - 2x, then the derivative du/dx would be -2, which is non-zero. Therefore, Michael's substitution satisfies the requirement for u to be differentiable.

ii. Michael's idea of always picking the most complicated factor as u also does not hold true for all u-substitutions. The choice of u depends on various factors, including the structure of the function, simplification possibilities, and making the integration process more manageable. It is not necessarily the case that the most complex factor will always result in a successful substitution.

It is important to consider the specific characteristics of the function and apply appropriate judgment in choosing the substitution u to simplify the problem effectively.

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Answer:

  2. negative infinity to five thirds and five thirds to infinity

Step-by-step explanation:

You want the domain of the rational function f(x) = (x +4)/(3x -5).

The domain is the set of input values for which the function is defined. A rational function is undefined when its denominator is zero. f(x) is undefined when ...

  3x -5 = 0

  x = 5/3

So, the value 5/3 must be excluded from the domain of f(x). The domain of f(x) is ...

  -∞ < x < 5/3  ∪  5/3 < x < ∞

It is critical to open a compass with over half the way in order for the arcs formed to meet for perpendicular bisector.

A perpendicular bisector would be a line that cuts a line segment in half and forms a 90-degree angle at the intersection point. In other words, a perpendicular bisector separates a line segment now at midpoint, forming a 90-degree angle.

Now, consider an example;

When you wish to build a perpendicular line on a line segment, like line AB, you do the following;

A line AB appears to be bisected perpendicularly as a result. The arcs would not have met if the compass is opened less than half way down line AB.

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Answer:

-17

Step-by-step explanation:

First, let's see what the value of w is, by solving -5w - 5 = 5.

-5w - 5 = 5            Add 5 on both sides.

-5w = 10                Divide -5 on both sides.

w = -2

Now, we know that w is equal to -2, let's plug it in to find the value.

9(-2) + 1                 Distribute.

-18 + 1                    Add.

-17

Notice that the initial expression can be rewritten as shown below

The answer is 4 gallons per minute.

The mistake is that Jessie wrongly calculated (1/2)/(1/8) which should be solved using the next rule

She did

which is incorrect.

Answer:

-8x² - 9x + 9

Step-by-step explanation:

(2x² - 5x + 1) - (10x² + 4x - 8)

2x² - 5x + 1 - 10x² - 4x + 8

2x² - 10x² - 5x - 4x + 1 + 8

-8x² - 9x + 9

Answer:

∠ RST = 72°

Step-by-step explanation:

∠ RST and 4x - 24 are alternate exterior angles and congruent, thus

4x - 24 = 3x ( subtract 3x from both sides )

x - 24 = 0 ( add 24 to both sides )

x = 24

Thus

∠ RST = 3x = 3 × 24 = 72°

the missing dimension (diameter) of the cylinder is approximately 18.9 inches, rounded to the nearest tenth.

what is cylinder ?

A cylinder is a three-dimensional shape that consists of two parallel circular bases connected by a curved surface. It can be thought of as a tube or a can, and is a common shape found in many everyday objects such as soda cans, tubes, and pipes.

In the given question,

To find the missing dimension (diameter) of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

where V is the volume of the cylinder, r is the radius of the cylinder, and h is the height of the cylinder.

Since the diameter (D) is twice the radius (r), we can also write:

V = π(D/2)²h

Simplifying this expression, we get:

V = πD²h/4

Multiplying both sides by 4/πh, we get:

D² = 4V/(πh)

Taking the square root of both sides, we get:

D = 2√(V/πh)

Substituting the given values, we get:

D = 2√(7433 in.³/π(14 in.))

D ≈ 18.9 in.

Therefore, the missing dimension (diameter) of the cylinder is approximately 18.9 inches, rounded to the nearest tenth.

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The expected number of failures in 1 year is 8.9948.

The authors calculate a failure rate for PVC pipe of 0.0081 per 100 miles of pipe per day in 2008. Think of a 100-mile section of this pipe.

(I)

Given;

Mean failures per day = 0.0081

So,

Expected number of failures in 1 year = 0.0081 * 365

                                                               = 8.9948

(II)

Poisson Distribution with λ = 8.9948 is given by:

\(P(x) =\frac{e^-^8^.^9^9^4^8 8.9948^0}{x!}\)

             ⇒ for x = 0, 1, 2,. . . .

P(At least 1 failure) = 1- P(X=0);

\(P(x) = \frac{e^-^8^.^9^9^4^8 8.9948^0}{0!} = \frac{0.00012*1}{1}\)

        = 0.00012    

So,

P(At least 1 failure) = 1 - 0.00012 = 0.99988

Hence, the expected number of failures in 1 year is 8.9948.

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Answer:

18

Step-by-step explanation:

\( \{{2}^{3} (4 \div 2) \}+ 2 \\ \\ = \{{2}^{3} \times 2 \} + 2 \\ \\ = {2}^{3 + 1} + 2 \\ \\ = {2}^{4} + 2 \\ \\ = 16 + 2 \\ \\ = 18\)

The approximate height of the tall oak tree is 60.0 feet.

To find the height of the tree, follow these steps:

1. Convert the distance between you and the mirror from inches to feet: 36 inches = 3 feet.
2. Create a proportion using similar triangles, where the height of the tree (h) divided by the distance from the tree to the mirror (24 feet) equals your eye height (5 feet) divided by the distance from your eyes to the mirror (3 feet).
3. Set up the proportion: h / 24 = 5 / 3.
4. Solve for h: h = (5 / 3) * 24.
5. Calculate h: h = 40 feet (height of tree above your eye level).
6. Add your eye height (5 feet) to the height of the tree above your eye level: 40 + 5 = 60 feet.
7. Round the answer to the nearest tenth: 60.0 feet.

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The slope of the line is 2.4 / 3.

The slope of a line is the change in the dependent variables with respect to the change in the independent variables.

In other words, the slope of a line is the change in y with respect to the change in x.

Therefore,

slope of the line = y₂ - y₁ / x₂ - x₁

Hence, (4, 1.2)(10, 6)

x₁ = 4

x₂ = 10

y₁ = 1.2

y₂ = 6

Therefore,

slope of the line = 6 - 1.2 / 10 - 4

slope of the line = 4.8 / 6

slope of the line = 2.4 / 3

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Answer:

no

Step-by-step explanation:

beacuse the power of a odd no. will get the sign of negative not positive

Answer:

(1/2)^5 =1/2^5

Step-by-step explanation:

(1/2)^5 =1^5/2^5 =1/2^5

1^5 =1

2^5 =32

Answer:

the answer is A

Step-by-step explanation:

Answer:

A. - ∞ < x < ∞

Step-by-step explanation:

Answer:

f(x) = 5+2x

Step-by-step explanation:

Honestly not sure if this is right, but idk just try it?

And I found the answer cuz the 5 original pets plus 2 new ones each year, which is 5+2x