Tiffany was sending out birthday invitations to her friends. She sent out 9 on Monday and 16 on Tuesday. How many did she send total?

Answer:

Domain is x ∈ R

Step-by-step explanation:

There weren't any options given, but for f(x) = 2x + 15, the domain is x ∈ R.

This is because the graph is a linear function, which exists for all values of x. You can express this in lots of different ways, but R (all reals) is the conventional way to do it.

In case you don't know what a domain is: it is a set of numbers that the x-values of an equation can fit into.

Example:

f(x) = \(x^{2}\) -> x ∈ R

This is because, if you draw a quadratic graph, you can see that the values of x are neverending.

Hope this helped : )

Answer:

Follow the lines

Step-by-step explanation:

Follow what the lines go with what the table has.

To make this really easy, find the slope of the line

To do this you find an easy point.

Ex. x=3 and y= 150

then take it into a slope y-intersept formula

y= mx

150= 3x

50 = x

so for every time x goes up one interval, y increases at a rate of 50.

And for y, do the opposite, for every 50 y, x goes up 1.

By following this linear path, you should really beable to solve the graph on the right. (If you need to, use a calculator for dividing the y numbers by 50 to get x)

y= 50x is ur slope/formula

(Ill leave the rest for you to answer with this data above ;) )

Hope This Helps :)

Answer:

10

Step-by-step explanation:

a^2 +b^2=c^2

6^2 +8^2 = c^2

6×6 is 36

8×8 is 64

36+64 = 100

So 100=c^

Now you need to square root 100

Which is 10

:) I hope that helps

This is Pythagoras theorum

A and b are the shorter sides and make an L shape

The longer side is always c

If you are able to rearrange formulas, I think that would help you a ton x

Answer:
Cluster : 60,61,62,63
Gaps: 64,65 , 69,70
Outlier: 71
This is what I learned so don't blame me please!

Step-by-step explanation:

Cluster is numbers all on one side. Outlier can be the largest number or lowest. Normally the alone one.

Answer:

Where is the ordered pair?

Step-by-step explanation:

Answer:

2x+y=-5

Y=-5-2x

X | Y

(0 ; -5)

(1 , -7)

(-2'5 ; 0)

And then put the points in the graph

the minimum value of the function f(x) is 4.

the company must produce 25 cars per shift to maximize its profit.

To determine whether the given function f(x) = x² - 20x + 104 has a maximum or minimum value, we can use calculus by finding the critical points and analyzing the concavity of the function.

First, let's find the derivative of f(x) with respect to x:

f'(x) = d/dx (x² - 20x + 104)

      = 2x - 20

To find the critical points, we set f'(x) = 0 and solve for x:

2x - 20 = 0

2x = 20

x = 10

The critical point is x = 10.

Now, let's analyze the concavity of the function by finding the second derivative:

f''(x) = d²/dx² (x² - 20x + 104)

       = 2

Since the second derivative is positive (2), the function is concave up. This means that the critical point x = 10 corresponds to a minimum value.

Therefore, the function f(x) = x² - 20x + 104 has a minimum value.

To find the value of this minimum, we substitute x = 10 into the function:

f(10) = 10² - 20(10) + 104

      = 100 - 200 + 104

      = 4

So, the minimum value of the function f(x) is 4.

For the second part of the question:

The daily profit function is P(x) = -45x² + 2,250x - 18,000, where x represents the number of cars produced per shift.

To maximize the profit, we need to find the value of x that corresponds to the vertex of the parabolic profit function.

The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic function.

In this case, a = -45 and b = 2,250.

x = -2,250 / (2(-45))

x = -2,250 / -90

x = 25

Therefore, the company must produce 25 cars per shift to maximize its profit.

The answer is (B) 25.

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Answer:

Centre = ( - 4, - 5 )

Radius = 7

Step-by-step explanation:

x² + y² + 8x + 10y - 8 = 0

It is in the form of x² + y² + 2gx + 2fy + c = 0 ( General circle equation ).

where,

2g = 8

g = 4

2f = 10

f = 5

c = - 8

Formula : -

The centre of the circle = ( - g, - f )

So,

The centre of the circle is ( - 4, - 5 ).

Formula : -

( Radius )² = g² + f² - c

( Radius )² = ( - 4 )² + ( - 5 )² - ( - 8 )

                 = 16 + 25 + 8

( Radius )² = 49

Square root on both sides,

Radius = √49 = 7

Answer:

See below ~

Step-by-step explanation:

Given

Completing the square method (for both x and y)

2. Bring the constant term to the other side by adding 49 on both sides.

3. Centre = (x, y)

4. Radius

The probability that a woman was wearing a belt given that she was also carrying a purse is 0.333 or 33.3%.

To find the probability that a woman was wearing a belt given that she was also carrying a purse, we need to use conditional probability.

We know that out of the 30 women observed, 18 were carrying purses and 6 were both carrying purses and wearing belts.

This means that the number of women carrying purses who were also wearing belts is 6.
Therefore, the probability that a woman was wearing a belt given that she was also carrying a purse is:
P(wearing a belt | carrying a purse) = number of women wearing a belt and carrying a purse / number of women carrying a purse
P(wearing a belt | carrying a purse) = 6 / 18
P(wearing a belt | carrying a purse) = 0.333
Given the information provided, we can determine the probability of a woman wearing a belt, given that she is also carrying a purse.

First, we need to find the number of women carrying a purse and wearing a belt, which is 6. There are 18 women carrying purses in total.
So, to find the probability, we will use the formula:
P(Belt | Purse) = (Number of women wearing belts and carrying purses) / (Number of women carrying purses)
P(Belt | Purse) = 6 / 18
P(Belt | Purse) = 1/3 or approximately 0.33
Therefore, the probability that a woman was wearing a belt, given that she was also carrying a purse, is 1/3 or approximately 0.33.

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What is your answer?

An equation passing through the points (2, 13) and (2, -11) is x = 2.

The equation of a line can be written in the form of y = mx + b, where m is the slope and b is the y-intercept.

To find the equation of the line that goes through the given points, we first need to find the slope. The slope can be calculated using the formula:

\(\[m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\]\)

Plugging in the given points, we get:

\(\[m = \frac{-11 - 13}{2 - 2} = \frac{-24}{0}\]\)

Since the denominator is 0, the slope is undefined. This means that the line is vertical. A vertical line has the equation x = a, where a is the x-coordinate of any point on the line. Since both of the given points have the same x-coordinate of 2, the equation of the line is x = 2.

Therefore, the equation with the given characteristics is x = 2.

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Answer:

I think 22.5

Step-by-step explanation:

okay so we know that lines bc and pf equal eachother

18/8 = 2.25 this is the scale factor

10 times 2.25 is. 22.5

I think it would be 22.5

Answer:

360 in.

Step-by-step explanation:

In order to get this answer, you have to multiply 5 and 8 by 3 because the drawing is 1/3 of the actual flag.

5 x 3 = 15

8 x 3 = 24

So, 24 x 15 = 360 in.

Hope this helps! :)

Answer:

15.0

Step-by-step explanation:

answer attached

hope this helps!

The amount the firm needs to deposit in the account now is 9,640.11. Given that the company has purchased a life truck with a useful life of 5 years, the maintenance costs for the truck during the first year are 2,000.

Also, maintenance costs are expected to increase at a rate of 300 per year over the remaining life, which is for four years. Assume that the maintenance costs occur at the end of each year.

The future maintenance costs for the truck can be calculated as shown below:

Year 1:\($2,000Year 2: $2,300Year 3: $2,600Year 4: $2,900Year 5: $3,200\)The maintenance account that earns 10% interest per year has to be set up, and all future maintenance expenses will be paid out of this account. The future value of the maintenance costs, i.e., the amount that the firm needs to deposit now to earn 10% interest and pay the maintenance costs over the next four years is given by:

\(PV = [C/(1 + i)] + [C/(1 + i)²] + [C/(1 + i)³] + [C/(1 + i)⁴] + [(C + FV)/(1 + i)⁵]\),where PV is the present value of the future maintenance costs, C is the annual maintenance cost, i is the interest rate per year, FV is the future value of the maintenance costs at the end of year 5, which is $3,200, and 5 is the total number of years, which is

5.Substituting the given values in the above equation:

\(PV = [2,000/(1 + 0.1)] + [2,300/(1 + 0.1)²] + [2,600/(1 + 0.1)³] + [2,900/(1 + 0.1)⁴] + [(3,200 + 3,200)/(1 + 0.1)⁵] = 9,640.11\)Therefore, the firm needs to deposit 9,640.11 in the account now. Hence, option (A) is the correct answer.

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Answer:

the answer to this question is c

Answer:

1 and 3 are the only ones that have one solution. basically, when dealing with system of equations there can be one of three answers- one solution, infinitely many solutions, or no solution. Using elimination or substitution to solve each system of equation will give you the answer.

Step-by-step explanation:

i hope this helps :)

The bags of candy that was sold is 6

The bags of cookies that was sold is 10.

$8.50c + $4.50o = 79 equation 1

o - c = 6

o = 6 + c  equation 2

Where:

Substitute for o in equation 1 using equation 2

$8.50c + $4.50(6 + c) = 79

$8.50c + 27 + 4.50c = 79

$8.50c + 4.50c = 79 - 27

$13c = 52

c = 52 / 13

c = 4

Substitute for c in equation 2

0 = 6 + 4 = 10

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Answer:

-25 can be expressed as a ratio of -50/2, -75/3, etc

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

The statement that's true about the triangle is that WXY + YXZ = 180°.

It should be noted that in the question, the options are related to a linear pair.

According to the linear pair, when a line cuts another line at a point, then the sum of the adjacent angles formed at the point will be 180°.

Therefore, WXY + YXZ = 180°.

The correct option is C.

The complete question is:

Which statement regarding the diagram is true?

m∠WXY = m∠YXZ

m∠WXY < m∠YZX

m∠WXY + m∠YXZ = 180°

m∠WXY + m∠XYZ = 180°

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The area in square meters will the oil slick cover is 9.5×10⁶ m².

15 barrels of diesel spilt into the ocean, where each barrel contains 42 gallons. Thereby the total volume of the oil spilt by 15 barrels is calculated as follows:

The total volume of the oil spilt by 15 barrels = 15× 42 gallons.

=630 gallons

1 gallon = 3.78541 liters

Volume in L = 630 gallons × 3.78541 liters/ 1 gallon

= 2384.8083 L

1 L = 10⁻³ m³

2384.8083  L = 2384.8083 × 10⁻³ m³

= 2.3848083 m³

The area covered by the oil spill has to be determined, where the thickness of the oil spill is given to be 2.5×10² nm.

1 nm = 10⁻⁹ m

Thereby, 2.5×10² nm = 2.5×10²×10⁻⁹ m

= 2.5×10⁻⁷ m

Area (m²) = volume (m³)/thickness (m)

= 2.3848083 m³/ 2.5×10⁻⁷ m

= 0.95392×10⁷ m²

= 9.5×10⁶ m²

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You can just try out all the answers but I'll give you a solution.

We will expand out the middle term to 5x^2 - 30x - 6x + 36, then we group the first 2 terms together, and the last 2 terms together.

= 5x (x - 6) - 6(x - 6)

And we put x-6 out : (x-6)(5x-6) = 0

Now, we can just set the value of one bracket to 0 and find out the value of x, and do the same for the other one

x - 6 = 0 -> x = 6
5x - 6 = 0 -> x = 6/5

Because 6 is not a possible option, the answer is x = 1.2

Jen simulated her net income over 5 years assuming sales vary based on a normal distribution $100,000 and operating costs 60% and 65% of sales. keeping the loan payment be fixed at $13,000. The probability of making at least $12,000 each year is the number of successful simulations divided by 100. and at least $60,000 total over 5 years based as the number of successful simulations divided by 100.

To simulate Jen's annual net income over the next 5 years, a spreadsheet model can be created with columns for year, sales, operating costs, loan payment, and net income.

For each year, the sales can be generated from a normal distribution with mean $100,000 and standard deviation $10,000, and the operating costs can be generated from a uniform distribution between 60% and 65% of sales.

The loan payment can be fixed at $13,000, and the net income can be calculated as the difference between the sales, operating costs, loan payment, and taxes (28% of net income).

To find the probability that Jen will make at least $12,000 in each of the next five years, 100 simulations can be run using the model created in part a. For each simulation, the net income for each of the next five years can be calculated, and if the minimum net income is at least $12,000 for each year, then the simulation is counted as a success.

The probability of success can be calculated as the number of successful simulations divided by 100.

To find the probability that Jen will make at least $60,000 total over the next five years, 100 simulations can be run using the model created in part a. For each simulation, the total net income over the next five years can be calculated, and if it is at least $60,000, then the simulation is counted as a success.

The probability of success can be calculated as the number of successful simulations divided by 100.

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The cable and the mass forms a right triangle

The length of the cable is 260 meters

The given parametes are:

Angle = 55 degrees

Height of the mass (h) = 213 meters

The length of the cable (l) is calculated using the following cosine ratio

cos(90 - θ) = h/l

Substitute known values

cos(90 - 55) = 213/l

cos(35) = 213/l

Make l the subject

l = 213/cos(35)

Evaluate the quotient

l = 260.024987406

Approximate

l = 260

Hence, the length of the cable is 260 meters

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9514 1404 393

Answer:

  B.  3, 4, 5

Step-by-step explanation:

The Pythagorean triple (3, 4, 5) is the only Pythagorean triple that is an arithmetic sequence. It is also the triple with the smallest integers. It is useful to remember this triple, as it is seen a lot in algebra, geometry, and trig problems.

__

Side length 1, 2, 3 do not form a triangle.

Side lengths 5, 6, 7 form an acute triangle.

Side lengths 3, 4, 5 form a right triangle.

To substract two fractions, we have to have common denominators.

For example, if we want to substract 1/3 from 1/2, we have to convert the fractions so they have a common denominator of 6.

The denominators are the ones that give sense to the fraction. In fact, when we substract whole numbers, we can consider we are substracting "fractions of one".

Then, for example, 5 - 4 could have been written as 5/1 -4/1.

If the numbers have different denominators, we can not perform additions or substractions until we express the fractions with the same denominator.

Trying to substract two fractions with different denominators is like substracting two things that are not expressed in the same units and it will yield an incorrect result.

Bobby reads more quickly, as he reads 18 pages per day while Billy reads 15 pages per day.

A proportional relationship is modeled as follows:

y = kx.

In which k is the constant of proportionality.

The constant for Billy is given as follows:

k = 180/12 = 105/7 = ... = 30/2 = 15.

Meaning that he reads 15 pages per day.

Bobby reads 18 pages per day, which is a greater amount than the 15 pages per day read by Billy, and thus he reads more quickly.

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The Misfit of Demon King Academy

From the given data , equation which can be formed to get the value of y that is the total amount of flour Otto used in his recipe is given by :

y = x + 5.5

With the constraints x and y where,

 x is any real number ≥ 0,

 y is any real number ≥ 5.5

As given in the question,

Number of cups of wheat flour used by Otto  = 5.5.cups

Number of cups of white flour used by Otto = x cups

Let y represent the total amount of flour used by Otto in the recipe

Required equation  to represent the total amount of flour used by Otto in the recipe is given by :

y = x + 5.5

Where x is any real number which is greater than or equal to 0.

As cups of flour can be in fractions.

And y is any real number which is greater than or equal to 5.5.

As y = x + 5.5, and x ≥0 and cups of flour can be in fractions.

Therefore, from the given data , equation which can be formed to get the value of y that is the total amount of flour Otto used in his recipe is given by :

y = x + 5.5

With the constraints x and y where,

 x is any real number ≥ 0,

 y is any real number ≥ 5.5

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