Find the arc length of a partial circle

Answer:

Box=0.95

Orange bag=0.44

Package=0.44

Step-by-step explanation:

Divide the cost by the amount of whatever. For ex. The 3.79/4 because there are 4 boxes.

Final answer:

The unit rate for a box of 4 light bulbs is $0.95 per bulb, for a bag of 5 oranges it's $0.44 per orange, and for a package of 12 bars of soap, the unit rate is $0.44 per bar.

Explanation:

To calculate the unit rate for each item, you divide the total cost by the number of items in the package. This tells you the cost per single item. Let's calculate the unit rates, rounding to the nearest cent.

Remember, when working with prices, it's standard practice to round to the nearest cent, which represents the smallest unit of currency used in transactions.

Answer:

0.915

Step-by-step explanation:

move the decimal two to the left and take a the percentage

Answer:

The answer is .915

Step-by-step explanation:

91.5/100 = .915

Angle L is 67.5 degrees. Angles F and L are opposite each other, yet the same angle-degree. Hope this helps <3

Angle L is 67.5 degrees. Angles F and L are opposite each other, yet the same angle degree.

Alternate interior angles are formed when a transversal passes through two lines.

The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles.

In the figure,we can see that ∠F and ∠L are alternate interior angles.

So the angles are ∠F=∠L=67.5

Hence Angle L is 67.5 degrees. Angles F and L are opposite each other, yet the same angle degree.

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Answer:

-10 + 90x + 6x - 60

= 96x - 70

Answer:

96x - 70

Step-by-step explanation:

Remove the brackets on both expressions.

-10 + 90x + 6x - 60

Add the xs together.

-10 + 96x - 60

combine the - 10 and - 60

96x - 70

Don't go any further. Nothing else combines.

Shown below

This is a step function which is a type of function defined by two or more functions. To write the function, we can follow these steps:

STEP 1. A linear function.

This function goes from [tex]-\infty[/tex] to [tex]2[/tex] without including this last value in the domain because at [tex]x=2[/tex] we have a hole. By writing the equation:

[tex]The \ equation \ of \ the \ line \ with \ slope \ m \\ passing \ through \ the \ point \ (x_{1},y_{1}) \ is:\\ \\ y-y_{1}=m(x-x_{1})[/tex]

So:

[tex]P_{1}(1,0) \\ P_{2}(2,2) \\ \\ y-0=\frac{2-0}{2-1}(x-1) \\ \\ y=2(x-1) \therefore \boxed{y=2x-2}[/tex]

[tex]f(x)=2x-2, \ \ -\infty<x \leq 2[/tex]

STEP 2. Constant function.

This function goes from [tex]2[/tex] to [tex]5[/tex] including both values in the domain because at [tex]x=2[/tex] and at [tex]x=5[/tex] we have dots.

So:

[tex]f(x)=4, \ \ 2 \leq x \leq 5[/tex]

STEP 3. Linear function.

This is also a linear function but goes from [tex]5[/tex] to [tex]+\infty[/tex] without including [tex]x=5[/tex] in the domain because we have a hole here. By writing the equation:

So:

[tex]P_{1}(5,6) \\ P_{2}(6,7) \\ \\ y-6=\frac{7-6}{6-5}(x-5) \\ \\ y=x-5+6 \therefore \boxed{y=x-1}[/tex]

[tex]f(x)=x+1, \ \ 5<x \leq +\infty[/tex]

Finally, our step function is:

[tex]f(x)=\left\{ \begin{array}{c}2x-2,\;-\infty<x\leq2\\4,\;2\leq x\leq5\\x+1,\;5<x\leq+\infty\end{array}\right.[/tex]

Andre saves more money than Elena after four weeks and after 6 weeks the savings of Andre and Elena is the same and this can be determined by forming the linear equation.

Given :

Let w represents the total number of weeks. So, the linear equation that represents the situatuion "Andre starts with $100 in his savings account and adds $5 per week" is:

S = 5w + 100

The linear equation that represents the situatuion "Elena starts with $10 in her savings account and adds $20 each week" is:

S' = 20w + 10

a) After four weeks the savings of Andre is given by:

S = 5(4) + 100

S = 20 + 100

S = $120

After four weeks the savings of Elena is given by:

S' = 20(4) + 10

S' = 80 + 10

S' = $90

So, Andre saves more money than Elena after four weeks.

b) Now, the number of weeks after which the savings of Andre and Elena are the same is:

5w + 100 = 20w + 10

Simplify the above equation in order to determine the value of 'w'.

90 = 15w

w = 6

So, after 6 weeks the savings of Andre and Elena is the same.

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The answer is 18 . Because 36 divided by 2 is 18

Answer: The answer is 18.

Step-by-step explanation: I know this because 18 is half of 36 and if you add 18 + 18 it will be the same as 18 x 2.

I hope this helps! :}

Answer: 29%

Step-by-step explanation:

A total of 75 people ordered a hot drink. 22 of them ordered a large.

22/75 = 29 (to the nearest percent)

Answer:

The correct answer is third option

The sum of any number and its opposite is 0

Step-by-step explanation:

It is given an expression,

8.29 * (-5.62 + 5.62)/5.62

To find the correct reason

Here - 5.62 + 5.62 = 0

5.62 is opposite to - 5.62

because sum of a number and its opposite is 0.

Therefore the correct answer is third option.

The sum of any number and its opposite is 0

Answer:

The sum of any number and it's opposite is 0.

Step-by-step explanation:

Given expression is [tex]8.29\cdot\frac{-5.62+5.62}{5.62}[/tex]

Now we need to find the reason about why the given expression equals to 0.

If you look at the numerator carefully then you will find that numerator contains two terms -5.62 and +5.62 which are exactly same and opposite in sign. So they will cancel each other and give result 0.

After that we get only multiplication and division operation and we know that multiplication by 0 gives 0. that's why the final answer is 0.

So the correct choice is "The sum of any number and it's opposite is 0."

Answer:

Step-by-step explanation:

i like to visualize it on a graph, it is a lot easier,

but the answer is (3,-6)

I think it's 60 I'm NOT sure. I just multiplied those three numbers

Answer:

Option: C is the correct answer.

        C. 3 units down.

Step-by-step explanation:

We know that the graph of a cosecant function has a minimum value for a upward open curve as : 1

It could be seen from the graph.

But here the minimum value of the upward open curve in the transformed function is: -2

This means that the vertical shift is given by:

-2-1=-3

This means that there is a vertical shift of 3 units down in the parent function.

Answer:

3 units down

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

There are two outcomes for the input of 1 in the value of x, which violates the standards of a function

For the single value of x, the value of y will be single. Then option C does not represent a function.

A statement, principle, or policy that creates the link between two variables is known as a function

We know that the value of x must be different.

For the single value of x, the value of y will be single.

Then option C does not represent a function.

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Answer:

-3.3

Step-by-step explanation:

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator.

Answer:

-2.3 - (4.5 - 3½) = -3.3

Step-by-step explanation:

Hope this helps.

Answer:

They can't occur together because independent means by itself.

Step-by-step explanation:

The correct answer is D) A's occurrence cannot affect the probability of B's occurrence. This reflects the defining characteristic of independent events in probability, where the occurrence of one event does not influence the likelihood of another.

If events A and B are independent, then this means that the occurrence of event A does not affect the probability of event B occurring, and vice versa. This is a fundamental concept in the study of probability which distinguishes independent events from dependent or mutually exclusive events.

Among the options provided, the correct choice is D) A's occurrence cannot affect the probability of B's occurrence. Independent events have no influence on each other, meaning that if you know event A has happened, this knowledge does not change the likelihood of event B happening, and conditional probability does not apply here.

On the other hand, mutually exclusive events cannot occur together. If A and B were mutually exclusive, then the probability of both A and B occurring at the same time would be zero. This is not the case with independent events, where the probability of A and B occurring is simply the product of their individual probabilities if the events are occurring simultaneously.

Answer:

1/2

Step-by-step explanation:

0.5 is half and can be represented many ways such as 4/8, 6/12, 50/100 etc. But the simplest form is 1/2.

Answer:

The value of x is 2 or -2.

Step-by-step explanation:

Consider the provided equation.

[tex]3x^2= 12[/tex]

We need to solve the above equation for x.

Divide 3 from both the sides.

[tex]\frac{3x^2}{3}=\frac{12}{3}[/tex]

[tex]x^2=4[/tex]

Square root both the sides.

[tex]x=\pm \sqrt{4}[/tex]

[tex]x=\pm 2[/tex]

Hence the value of x is 2 or -2.

The solution to the equation  [tex]3x^2 = 12[/tex]  is [tex]x = \pm2[/tex], which is [tex]x = 2[/tex] and [tex]x = -2.[/tex]

To solve the equation [tex]3x^2 = 12[/tex] algebraically:

Divide both sides of the equation by 3 to isolate the [tex]x^2[/tex] term:

[tex]\frac{3x^2}{3}=\frac{12}{3}[/tex]

[tex]x^2 = 4[/tex]

Take the square root of both sides to solve for x:

[tex]\sqrt{x^2}=\sqrt{4}[/tex]

[tex]x = \pm2[/tex]

Hence, the solutions to the equation [tex]3x^2 = 12[/tex] are [tex]x = 2[/tex] and [tex]x = -2.[/tex]

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Answer: the answer is c

Step-by-step explanation: the first line is the min and the next is q1 and then the medium and q3 max

Answer:

185/8

Step-by-step explanation:

23 1/8

23*8=184+1=185

over 8

Start by multiplying 23 and 8. This gives 184.

Next, add 184 and 1. 185

Lastly, put 185 over the denominator

The answer is: 185/8

The 99% confidence interval for the mean number of jobs held by the retired men in the study is approximately 6.3 < μ < 8.1

To calculate the 99% confidence interval, we need the sample mean, the population standard deviation, the square root of the sample size, and the z-value associated to a 99% confidence. In this case, we know the following:

The confidence interval formula is given by the following equation:

x-bar ± z * (σ/√n)

Subbing the values into the equation, we get:

7.2 ± 2.57 * (2.1/√50)

The 99% confidence interval would therefore be approximately 6.3 < μ < 8.1

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Answer:

x=8

Step-by-step explanation:

9        3

---- = -----

24      x

Using cross products

9 * x = 3 * 24

Divide each side by 9

9x/9 = 3*24/9

x = 3/9 * 24

x = 1/3 *24

x = 8

Answer:

11.25

Step-by-step explanation:

The slope is [tex]\frac{3}{4}[/tex]

Using this we can find Δx and Δy.

The slope is Δy/Δx

And Δx is 15 since the number of units from 12 to 27 is 15.

So Δy/15 = [tex]\frac{3}{4}[/tex]

Multiply so they have common denominators.

4Δy/60 = [tex]\frac{45}{60}[/tex]

Multiply each side by 60 and solve.

4Δy = 45

Δy = 11.25

So the length of x is 11.25

Answer:

[tex]u=3w-4.5[/tex]

Step-by-step explanation:

we have

[tex]-2u+6w=9[/tex]

Solve for u

That means ------> isolate the variable u (dependent variable)

Subtract 6w both sides

[tex]-2u=9-6w[/tex]

Divide by -2 both sides

[tex]u=(9-6w)/(-2)[/tex]

[tex]u=3w-4.5[/tex]

Answer: u = -9/2 + 3w

Step-by-step explanation:

Hi, An Independent Variable in an Equation is a variable that may have its value freely chosen without considering values of any other variable. Is also known as the input value of a function.

So, to rearrange we have to isolate u:

-2u+6w=9

-2u =9 -6w

2u = -9 +6w

u= (-9 +6w)/2

u = -9/2 + 3w

Feel free to ask for more if needed or if you did not understand something.

i believe 68 is the answer.

68! Is the correct answer

Answer:

[tex]5\ shifts[/tex]

Step-by-step explanation:

we know that

To find out the number of shifts per day, divide the total number of hours per day the pool is open by each lifeguard's shift.

Convert to an improper fraction first

[tex]7\frac{1}{2}\ h=\frac{7*2+1}{2}=\frac{15}{2}\ h[/tex]  

[tex]1\frac{1}{2}\ h=\frac{1*2+1}{2}=\frac{3}{2}\ h[/tex]  

so

[tex](15/2)/(3/2)=15/3=5\ shifts[/tex]

Answer:

d = √34

Step-by-step explanation:

(-2, -1) & (3, 2)

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(3 + 2)² + (2 + 1)²]

d = √[(5)² + (3)²]

d = √(25 + 9)

d = √34

Answer:   A. √34

Step-by-step explanation:

I had the same problem

Answer:

12x + 30y

156

Step-by-step explanation:

To use the distributive property, you multiply the number or quantity outside the parentheses (6 in this problem) by each of the numbers or quantities inside the parentheses (2x and 5y in this problem).

You started out correctly writing 6(2x), but then you must multiply 6 by 5y too, so you should get 6(2x) + 6(5y). Then you do the two multiplications to get 12x + 30y.

Here are the steps:

6(2x + 5y) =

= 6(2x) + 6(5y)

= 12x + 30y

The expression is: 12x + 30y

Now we use the expression with the values x = 3 and y = 4 to find the area.

12x + 30y =

= 12(3) + 30(4)

= 36 + 120

= 156

Answer:

c = 11/4

Step-by-step explanation:

One way of doing this is to let 2c = x.  Then our equation becomes

2x + x = 2x + 11/2, or x = 11/2.

But 11/2 = 2c.  Thus, c = 11/4

100

I got the answer by 26 divided by 0.26

Answer:

its 100 trust me

Answer:

[tex]\large\boxed{\dfrac{(2x-3y)^2}{(3y-2x)^2}=1}[/tex]

Step-by-step explanation:

[tex]\dfrac{(2x-3y)^2}{(3y-2x)^2}=\dfrac{(2x-3y)^2}{\left(-1(2x-3y)\right)^2}\qquad\text{use}\ (ab)^n=a^nb^n\\\\=\dfrac{(2x-3y)^2}{(-1)^2(2x-3y)^2}=\dfrac{(2x-3y)^2}{1(2x-3y)^2}=\dfrac{(2x-3y)^2}{(2x-3y)^2}=1[/tex]