13. The soccer team and the lacrosse team
sold tubs of cookie dough as a fundraiser.
Each tub sold earns $5 in profit. If the
soccer team sold thirteen less than twice
the number of tubs that the lacrosse team
sold, and the two teams sold 224 tubs
combined, how much money did the soccer
team raise?
A. $395
B. $440
C. $725
D. $855

Part A: Rebecca's credit card balance can be calculated using the equation x = (51 - 1) 0.02 if her finance charge is $51.

Part B: By making the purchase on the final day of the billing cycle rather than the first day, Rebecca will be able to avoid paying $27 in finance charges.

How do equations work?

A mathematical statement proving the equality of values between two or more mathematical expressions is called an equation.

Equation symbols (=) are used to represent equations.

A finance charge is what?

The interest and other fees levied on credit cards are included in a finance charge.

Typically, the finance charge is based on a stated APR (annual percentage rate).

The month's billing cycle lasts for 28 days.

Balance at current starting = x.

APR = 24%, or annual percentage rate.

The monthly percentage rate (MPR) equals 2% (24% divided by 12).

The final day's purchase cost $1,400.

$51 is the total finance fee for the month.

($1,400 x 2% x 1/28) = $1 finance fee for the last-minute purchase.

$50 ($51 - $1) serves as the initial balance's finance charge.

The starting balance at this time is x = $2,500 ($50 x 2%).

Current Beginning Balance Equation: x = 51 - 1 0.02

($1,400 x 2%) Equals $28 in total loan charges for the last-minute purchase.

Finance charge savings from buying on the last day equals $27 ($28 - $1).

By buying the $1,400 gift for her friend on the last day of the billing cycle rather than the first, Rebecca can avoid paying $27 in finance charges.

Learn more about credit cards and finance charges at brainly.com/question/22717601

#SPJ4

Answer:

x=-6

Step-by-step explanation:

can u show me a shorter verison

1. Linear independence:
Suppose we have a linear combination of elements in S1 equal to the zero vector:
a1(cv1) + a2(cv2) + ... + an(cvn) = 0
Since c is a nonzero scalar, we can factor it out:
c(a1v1 + a2v2 + ... + anvn) = 0
Since S is a basis for V, it is linearly independent, and this linear combination implies that a1 = a2 = ... = an = 0. Therefore, S1 is also linearly independent.

2. Spanning V:
Given any vector v in V, we know that v can be expressed as a linear combination of the vectors in S since S spans V:
v = b1v1 + b2v2 + ... + bnvn
Now, multiply both sides by the nonzero scalar c:
cv = (cb1)(cv1) + (cb2)(cv2) + ... + (cbn)(cvn)
This expression shows that cv can be formed as a linear combination of the vectors in S1. Since c is a nonzero scalar, every vector in V can be obtained by a linear combination of vectors in S1, so S1 spans V.

To prove that S1 = {cv1, cv2, …, cvn} is also a basis for V, we need to show that S1 is linearly independent and spans V.

First, we will show that S1 is linearly independent. Suppose there exist scalars a1, a2, …, an such that
a1(cv1) + a2(cv2) + … + an(cvn) = 0

Multiplying both sides by c, we get
(ca1)v1 + (ca2)v2 + … + (can)vn = 0
Since S is a basis for V, it is linearly independent. Therefore, the only solution to the above equation is a1 = a2 = … = an = 0. This implies that S1 is also linearly independent.

Next, we will show that S1 spans V. Let v be any vector in V. Since S is a basis for V, we can express v as a linear combination of its elements:
v = b1v1 + b2v2 + … + bnvn
Multiplying both sides by c, we get
cv = (cb1)cv1 + (cb2)cv2 + … + (cbn)cvn

This implies that S1 spans V.
Therefore, we have shown that S1 = {cv1, cv2, …, cvn} is a basis for V.

Learn more about  Linearly Independent:

brainly.com/question/31233178

#SPJ11

Answer:

Step-by-step explanation:

Identify the equation in slope-intercept form for the line containing the points

(3,5) and (2,-5)

Choices:

y = 3x − 15

y = 5x − 25

y = 10x − 25

y = 5x + 10

Pls help

Sooo let’s solve this….

Notice the x-axis

Slope Intercept form changes at a constant rate soooo… from (3,5) to (2,-5)

The axis goes left by 1

On A graph the more to the left the smaller number get.

The Y-axis goes down by 10 from the bigger point

But…..

It’s really not going left 1 and 10 down you always start with the smaller point so from

(2,-5) to (3,5) It goes Right 1 and 10 up

Knowing this

Slope Intercept form

Y=mx+b

Where m=slope

b= y-intercept where the line crosses x=0

Our Slope Is 10

Because from -5 to 5 you have to add 10 to get the other value

y=10x+b

But lets just figure out the y-intercept to be sure.

We want the X-axis to be 0 so we will be going left until we get to 0

So We get this point (2,-5)

Knowing that we go up 10 and right 1 to get to the higher value we will do the opposite.

We will go 1 to the left and 10 down

(2,-5)

(1,-15)

(0,-25) As you can see x=0 so the y-intercept will be -25

y=mx+b

m=slope

b= y-intercept

y=10x-25 The Third Option is the Answer….

SonicIsCoool, at your service if you need any help :)

The correct answer is OA. {1, 2, 3, 4, 5}, which accurately represents the domain of the function A(n) as all the numbers in the given sequence.

The domain of the function A(n) can be found by observing the given numbers that are included in the function.

A function can only accept inputs that are valid within the given domain. If a number is not included in the domain, it cannot be used as an input.

The function A(n) is defined for the given sequence of numbers: 1, 2, 3, 4, 5. This means that we can plug in any of these numbers as the input for the function and obtain a corresponding output.

In the given options:

OA. {1, 2, 3, 4, 5} - This option correctly represents the set of all numbers from the given sequence, which indicates that these numbers are included in the domain of the function.

OB. (2, 4, 5) - This option uses parentheses, which typically denote an open interval.

However, the function A(n) is defined for specific individual numbers, not for a continuous range of values.

OC. {1, 3, 4, 5} - This option is missing the number 2, which is also included in the given sequence and is part of the domain of the function.

D. (2, 3, 4, 5, 6, 7} - This option includes numbers that are not present in the given sequence.

The function A(n) is only defined for the numbers 1, 2, 3, 4, and 5.

Therefore, we have:A(n) = {1, 2, 3, 4, 5}Hence, the correct answer is option OA. {1, 2, 3, 4, 5}.

For more questions on function :

https://brainly.in/question/9181709

#SPJ8

Answer:

2.6

Step-by-step explanation:

In the point (r, θ), r signifies the distance from O to P, while θ represents the angle counterclockwise from the polar axis to the line segment ¯¯¯¯¯¯¯¯OP.

For the point (r, θ), r is the distance from O to P, and θ is the angle counterclockwise from the polar axis to the line segment ¯¯¯¯¯¯¯¯OP.

In polar coordinates, a point is represented by its distance (r) from the origin (O) and the angle (θ) it forms with the positive x-axis. The distance (r) denotes the length of the line segment connecting the origin to the point P. It indicates how far the point is from the origin. The angle (θ) represents the rotation or angular position of the line segment ¯¯¯¯¯¯¯¯OP from the polar axis (positive x-axis) in a counterclockwise direction. It determines the direction in which the point is located relative to the polar axis.

Know more about line segment here:

https://brainly.com/question/30072605

#SPJ11

The journey along Line segment X Y is longer than the path along Line segment Z Y, and the path along Line segment Z Y is longer than the path along Line segment A B, hence Option-A is the correct answer.

Given that,

He makes paths that follow Line segments A and B, X and Y, and Z and Y through the garden.

We have to find which accurately compares the pathways' lengths.

We know that,

The length of the third side in a triangle is proportional to the angle Ф  if the lengths of the two sides that make up the angle Ф are fixed.

XY > YZ because XY's opposing angle (79°) is greater than YZ's (65°).

As before, YZ > AB because the opposing angle of YZ (65°) is greater than that of AB (36°).

Since both sides of the angle are the same length (8 feet),

As a result, assertion A. is accurate. (Answer)

Therefore, The journey along Line segment X Y is longer than the path along Line segment Z Y, and the path along Line segment Z Y is longer than the path along Line segment A B, hence Option-A is the correct answer.

To learn more about segment visit: https://brainly.com/question/12728072

#SPJ4

Answer:

It's A

Step-by-step explanation:

I got 100 on the quiz

The least positive integer we can get as the product is 2.

Here we have the following set of numbers:

{-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5}

And we want to take the product between 3 of them and find the least positive integer that we can get as the product.

So it makes sence to choose the smallest absolute value numbers (not zero) such that one is positive and two are negative (we want two negative ones so the signs cancell eachother)

Then we will get:

1*(-1)*(-2) = 2

That is the least positive integer we can get as the product.

Learn more about products at:

https://brainly.com/question/794810

#SPJ1

Answer:

\(\frac{18}{p}\)

Step-by-step explanation:

Answer:

\(x + 8 \times 16 \\ 8 - 16 = 8\)

Answer:

B. translation, then reflection.

Step-by-step explanation:

translation means moving the shape without flipping or rotating it.

reflection means flipping it like in a mirror

A line parallel to the equation 9x−5y=10 would have a slope of 9/5, while a line perpendicular to it would have a slope of -5/9.

Slope means the measure of steepness or incline of a line. This represents the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line.

The given equation is 9x−5y=10.

To find the slope of a line parallel to this equation, we will rewrite it in slope-intercept form (y = mx + b), where m represents the slope.

To solve the equation for y:

9x−5y=10

9x - 10 = 5y

y = 9x/5 - 2

From the equation y = 9x/5 - 2, we can see that the slope of the line parallel to the given line is 9/5.

Therefore, the slope of a line perpendicular to the given line would be the negative reciprocal of 9/5, which is -5/9.

To know more about slope visit:

brainly.com/question/16949303

#SPJ4

Answer:

Step-by-step explanation:

This is simply because with the illustration all numbers where the same but one is positive and the other is negative ,so when added

a + (-a) we will have the answer to be zero

Answer:

x=−2

y=7

Step-by-step explanation:

5x+2y=4

x−3y=−23

In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.

5x+2y=4,x−3y=−23

To make 5x and x equal, multiply all terms on each side of the first equation by 1 and all terms on each side of the second by 5.

5x+2y=4,5x+5(−3)y=5(−23)

Simplify.

5x+2y=4,5x−15y=−115

Subtract 5x−15y=−115 from 5x+2y=4 by subtracting like terms on each side of the equal sign.

5x−5x+2y+15y=4+115

Add 5x to −5x. Terms 5x and −5x cancel out, leaving an equation with only one variable that can be solved.

2y+15y=4+115

Add 2y to 15y.

17y=4+115

Add 4 to 115.

17y=119

Divide both sides by 17.

y=7

Substitute 7 for y in x−3y=−23. Because the resulting equation contains only one variable, you can solve for x directly.

x−3×7=−23

Multiply −3 times 7.

x−21=−23

Add 21 to both sides of the equation.

x=−2

The system is now solved.

x=−2,y=7

Graph if needed:

Therefore, 65% of all nurses have a starting salary, z = invNorm(0.35) ≈ -0.3853 and z = (41861.5 - 67694) / 10333 ≈ -2.49.

b) We need to find P(X ≥ 78371.8). To do this, we can standardize the value using the formula z = (x - μ) / σ, where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation. Then we can look up the probability in a standard normal distribution table or use a calculator.

\(z = (78371.8 - 67694) / 10333 \approx 1.04\)

Using a standard normal distribution table or calculator, we find that P(Z ≥ 1.04) ≈ 0.1492. Therefore, the probability that a randomly selected nurse has a starting salary of 78371.8 dollars or more is about 0.1492.

c) We need to find P(X ≤ 91407.1). Again, we can standardize the value and look up the probability in a standard normal distribution table or use a calculator.

\(z = (91407.1 - 67694) / 10333 \approx 2.30\)

Using a standard normal distribution table or calculator, we find that P(Z ≤ 2.30) ≈ 0.9893. Therefore, the probability that a randomly selected nurse has a starting salary of 91407.1 dollars or less is about 0.9893.

d) We need to find P(78371.8 ≤ X ≤ 91407.1). We can standardize the values and use a standard normal distribution table or calculator to find the probability.

z1 = (78371.8 - 67694) / 10333 ≈ 1.04

z2 = (91407.1 - 67694) / 10333 ≈ 2.30

Using a standard normal distribution table or calculator, we find that P(1.04 ≤ Z ≤ 2.30) ≈ 0.4657. Therefore, the probability that a randomly selected nurse has a starting salary between 78371.8 and 91407.1 dollars is about 0.4657.

e) We need to find P(X ≤ 41861.5). Again, we can standardize the value and use a standard normal distribution table or calculator.

z = (41861.5 - 67694) / 10333 ≈ -2.49

Using a standard normal distribution table or calculator, we find that P(Z ≤ -2.49) ≈ 0.0062. Therefore, the probability that a randomly selected nurse has a starting salary that is at most 41861.5 dollars is about 0.0062.

f) Yes, a starting salary of 41861.5 dollars is unusually low for a randomly selected nurse. This is because the probability of getting a starting salary at or below this value is very small, as we calculated in part (e).

g) We want to find the value x such that 65% of all nurses have a starting salary greater than x. This means we need to find the 35th percentile of the distribution, which we can do using a standard normal distribution table or calculator.

z = invNorm(0.35) ≈ -0.3853

Using the formula z = (x - μ) / σ, we can solve for x:

-0.3853 = (x - 67694) / 10333

x - 67694 = -0.3853 * 10333

x ≈ 63757.72

To know more about distribution visit:

https://brainly.com/question/31197941

#SPJ1

Answer:

6^5  * 9^5

Step-by-step explanation:

( 6*9) ^5

We know that ( ab) ^c = a^ c* b^c

6^5  * 9^5

Answer:

x=816

Step-by-step explanation:

Multiply both sides by 16

\(\frac{x}{16}*16=51*16\\x=816\)

To check equation, substitute x with answer

\(\frac{816}{16}=51\\51=51\)

5x-2+2=18+2

5x-2+2=18+25x=20

5x-2+2=18+25x=20x=4

5x-2+2=18+25x=20x=4check=5*4-2

5x-2+2=18+25x=20x=4check=5*4-220-2

5x-2+2=18+25x=20x=4check=5*4-220-218

Answer:

the answer would be D) undefined

Step-by-step explanation:

above is what the graph should look like and in that graph there is no slope.

The correlation coefficient {r} = 0.01 represents the worst correlation.

In statistics, correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data

Given are the correlation values as given in the image.

The correlation coefficient {r} = 0.01 represents the worst correlation. It is shows that the data is scattered to a very large extent and the dependency between the two variables is not mathematically structured according to some rule.

Therefore, the correlation coefficient {r} = 0.01 represents the worst correlation.

To solve more questions on correlation, visit the link below -

brainly.com/question/12431044

#SPJ1

In any triangle, the length of the longest side (call it c) is no larger than the sum of the lengths of the smaller sides (call them a and b). We fittingly call this the triangle inequality,

a + b ≥ c

From the given choices, the correct one is the one in which the two smaller integers have a sum that's bigger than the largest integer. In this case, the third triplet cannot form the sides of a triangle.

{7, 20, 26} : 7 + 20 = 27 ≥ 26

{10, 19, 26} : 10 + 19 = 29 ≥ 26

{14, 25, 40} : 14 + 25 = 39 < 40

{14, 27, 38} : 14 + 27 = 41 ≥ 38

Answer:

Supplementary angles can be congruent if one or both of the angles measure up to 90°.

Answer:

32.5ft

Step-by-step explanation:

Answer:

32.5 feet per 5 seconds

Step-by-step explanation:

multiply 5 by 6.5 you get 32.5

The statement is true. Roofs with a span of 40 feet or less and a pitch of ? or greater, as well as roofs with a span of more than 40 feet and a pitch of 1/4 or greater, are considered to be pitched.

In roofing terminology, the pitch refers to the steepness or slope of a roof. A pitched roof has a slope that allows water to drain efficiently. The pitch is typically measured as a ratio of vertical rise to horizontal span.

According to the statement, roofs with a span of 40 feet or less and a pitch of ? (undefined or not specified) or greater are considered to be pitched. This means that as long as the roof has a certain degree of slope or steepness, it is categorized as a pitched roof.

Similarly, roofs with a span of more than 40 feet and a pitch of 1/4 or greater are also considered to be pitched. In this case, the requirement for a minimum pitch of 1/4 (or a steeper slope) applies to roofs with a larger span.

The classification of roofs as pitched or not pitched depends on their span and the minimum pitch requirements specified. Roofs that meet the specified criteria for span and pitch are considered to be pitched roofs.

Learn more about roofing terminology here:

https://brainly.com/question/31918563

#SPJ11

The area of the region can be computed by integrating the difference between the two curves with respect to x from 0 to 1 is (5/2) - (5/4) = 5/4 square units.

The region enclosed by the given curves is the area between the curve y=5x^3 and the line y=5x, for x≥0. To sketch the region, we can start by plotting the two curves on the same coordinate system:

      |        *

    y=5x |      *

         |    *

         |  *

         |/

 ---------*----------->

          x

The region enclosed by the given curves is the area between the curve y=5x^3 and the line y=5x, for x≥0. To sketch the region, we can start by plotting the two curves on the same coordinate system:

lua

Copy code

         |        *

    y=5x |      *

         |    *

         |  *

         |/

 ---------*----------->

          x

The curve y=5x^3 is a cubic function that passes through the origin and has a very steep slope near x=0, while the line y=5x has a constant slope of 5. At x=0, the two curves intersect, and the line y=5x is below the curve y=5x^3 for small positive values of x. As x increases, the curve y=5x^3 rises faster than the line y=5x, until they intersect again at x=1. The region enclosed by the curves is the area between the curves from x=0 to x=1.

To visualize the region, we can shade in the area between the curves:

    |▓▓▓▓▓▓▓▓▓▓▓▓

    y=5x |   ▓▓▓▓▓▓▓▓

         |      ▓▓▓▓

         |        ▓▓

         |__________▓▓▓▓▓▓▓▓▓▓▓▓▓

 -------------------*----------->

                     x

The region is roughly triangular, with a curved boundary on one side and a straight boundary on the other. The area of the region can be computed by integrating the difference between the two curves with respect to x from 0 to 1:

A = ∫(5x - 5x^3)dx from 0 to 1

A = [(5/2)x^2 - (5/4)x^4] from 0 to 1

A = (5/2) - (5/4) = 5/4 square units

Learn more about area here

https://brainly.com/question/25292087

#SPJ11

The anonymous function to compute the euclidean distance given two points (x1, y1) and (x2, y2) is ``python
euclidean_distance = lambda x1, y1, x2, y2: ((x2 - x1)**2 + (y2 - y1)**2)**0.5.

To compute the Euclidean distance given two points (x1, y1) and (x2, y2). Here's the step-by-step explanation using the Euclidean distance equation:

1. Recall the Euclidean distance equation: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
2. Use an anonymous function, which is a function without a name, typically represented using the "lambda" keyword in programming languages like Python.
3. Define the function parameters as the coordinates of the two points: (x1, y1) and (x2, y2).
4. Implement the Euclidean distance equation inside the anonymous function.

Here's an example using Python:

```python
euclidean_distance = lambda x1, y1, x2, y2: ((x2 - x1)**2 + (y2 - y1)**2)**0.5
```

Now you can use this anonymous function to compute the Euclidean distance between any two points (x1, y1) and (x2, y2) by calling it with the appropriate arguments:

```python
distance = euclidean_distance(1, 2, 4, 6)
print(distance)  # Output: 5.0
```

This example demonstrates how to write an anonymous function to compute the Euclidean distance given two points (x1, y1) and (x2, y2).

Know more about euclidean distance here:

https://brainly.com/question/28370661

#SPJ11