10. The function y = -3 x+44 represents the amount of money left in your school lunch account y (in dollars) after x days.
a. Identity the independent and dependent variable.
b. After 10 days, how much money is left in your account.

Answer:

34000

Step-by-step explanation:

you would do 8x5 witch is 40 o now 40x850 is 34000

The length of the second trial will be equal to 2(⁵/₈) miles.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that two bicycle trails were developed in a new housing development. One trail is 3¹/₂ miles long. The other trail is 3/4 as long.

The length of the second trial will be calculated as,

Length =  3/4 x ( 3¹/₂ )

Length = 2(⁵/₈)

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The expression that shows how many comic books Tessa has is 14t

From the question, we have the following parameters that can be used in our computation:

Tessa = t times as many as Joseph

Joseph = 14 comic books

These parameters means that

Tessa = t times Joseph

So, we have

Tessa = t * Joseph

Substitute the known values in the above equation, so, we have the following representation

Tessa = t * 14

Evaluate

Tessa = 14t

Hence, the expression is 14t

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By the substitution property of equality, ∠AOB ≅ ∠COD. Then the correct option is B.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Given: Line segment AC and line segment BD intersect at O.

Prove: ∠AOB ≅ ∠COD

By the supplementary angles property, the equations are given as,

∠AOB + ∠BOC = 180°            .....1

∠BOC + ∠COD = 180°            ....2

By the substitution property of equality, ∠AOB ≅ ∠COD. Then the correct option is B.

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Answer: By the congruent complements theorem

Step-by-step explanation: I took the test

The zeroes for the given polynomial will be 1 and 3.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

It is given that the polynomial is, p(x)=2x⁴-8x³+6

[tex]=2x^4-8x^3+6 \\\\ =2\left(x^4-4x^3+3\right) \\\\ =2\left(x-1\right)\left(x^3-3x^2-3x-3\right) \\\\ 2(x-1)+x^2(x-3)-3(x-3) \\\\ x =1 \\\\ x = 3[/tex]

Thus, the zeroes for the given polynomial will be 1 and 3.

The question is incomplete the complete question is"Consider the polynomial p(x)=2x⁴-8x³+6

a. Graph p(x)=2x⁴-8x³+6, and find the real zero of polynomial p.

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Answer:

10

Step-by-step explanation:

subtract 14 from 24 or 24 from 14

Answer: 6/25

Step-by-step explanation: To find the equivalent expression, we can use the property of square roots that says that the square root of the quotient of two numbers is the quotient of the square roots of the numbers. This property is given by the following equation: sqrt(a/b) = sqrt(a) / sqrt(b)

In this case, the expression we are trying to simplify is sqrt(36/25), which we can rewrite using the property of square roots as follows: sqrt(36/25) = sqrt(36) / sqrt(25)

Then, we can use the property of square roots that says that the square root of a perfect square is the number itself to simplify the expression as follows: sqrt(36/25) = 6 / sqrt(25)

Finally, we can use the property of square roots that says that the square root of a perfect square is the number itself to simplify the expression even further: sqrt(36/25) = 6 / 5

Therefore, the equivalent expression to sqrt(36/25) is 6/25. This means that the correct answer is 6/25, not 5/6.

The fish's total distance traveled is 17 meters in 5 minutes based on multiplication and addition operations.

The total distance the fish traveled can be determined using mathematical operations, especially multiplication and addition.

We know that distance is the product of speed and time, i.e. d = st, where s is speed, t is time, and d is distance.

In this situation, we separately find the distance the fish traveled during its descent and ascent by multiplying time and speed.

The results are added to obtain the total distance the fish traveled for both activities.

The fish's descent speed = 4 meters per minute (MPM)

The total time for the descent = 2

The total distance for the descent = 8 miles (4 x 2)

The fish's ascent speed = 3 meters per minute (MPM)

The total time during ascent = 3 minutes

The total distance for the ascent = 9 miles (3 x 3)

The total distance the fish traveled for descent and ascent = 17 meters (8 + 9)

Thus, we can mathematically conclude that the fish traveled 17 meters.

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Answer:

x=5

Step-by-step explanation:

Answer:

neither

Step-by-step explanation:

parallel lines will have the same number next to the x

perpendicular lines will have the negative reciprocal number next to the x

(for example 2 and -1/2 are negative reciprocals)

y−4=3(x+5)

parenthesis first

y−4=3x+15

y=3x+19

y+3= −13(x+1)

y+3= −13x−13

y= −13x−16

3x and −13x are neither the same nor negative reciprocals of each other so

the answer is neither

The domain of a function is the set of all possible input values that the function can take without breaking. In the case of f(x) = log(5x+10) + 3, the domain is all real numbers x such that 5x+10 is greater than 0. This is because the log function is not defined for values less than or equal to 0.

To find the domain of f(x), we need to solve the inequality 5x+10 > 0. We can do this by subtracting 10 from both sides of the inequality, which gives us 5x > -10. Dividing both sides by 5 gives us x > -2. Therefore, the domain of f(x) = log(5x+10) + 3 is all real numbers x such that x > -2.

After multiplying the given expression, we are left with the following as our solution:

SOLUTION:

[tex]\frac{y^2}{2}+ \frac{3y}{2}[/tex]

Hope this helps!

Answer:

12 is the answer of this equation

Pam worked on puzzle for 7380 seconds.

Conversion of unit is a multi-step process which involves multiplication or division by a numerical factor. In it one unit of the quantity is changed to another unit of same quantity.

Given,

Pam spent 1 hour and 15 minutes on puzzle, on Saturday.

She spent 48 minutes on puzzle on Sunday.

Total time spent on puzzle by Pam

= 1 hour 15 minutes + 48 minutes

∵ 1 hour = 60 minutes

Total time spend in minutes

= 60+15+48

= 123 minutes

now, 1 minute = 60 seconds

Total time spend in seconds

= 123 × 60

= 7380 seconds.

Hence, 7380 seconds is the total time spend by Pam on the puzzle.

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Answer:

I think its (0,3), (1,-6), (2,-15)

Step-by-step explanation:

The correct sets of numbers which represent the three sides of a triangle will be;

⇒ { 11, 24, 32 }

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The sides of a triangle are shown.

Now,

We know that;

The sum of two sides of triangle is greater than the third side.

Hence, We get;

First option;

⇒ [ 13, 20, 35 ]

Cleary, 13 + 20 = 33 < 35

Thus, It is not possible.

Second option;

⇒ [ 11, 24, 35 ]

Cleary, 11 + 24 = 35 = 35

Thus, It is not possible.

Third option;

⇒ [ 11, 24, 32 ]

Cleary, 11 + 24 = 35 > 32

Thus, It is possible.

Therefore, The correct sets of numbers which represent the three sides of a triangle will be;

⇒ { 11, 24, 32 }

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Answer: A, B and C

Step-by-step explanation:

Step-by-step explanation:

Given any three side lengths of a right triangle, the longest side is the hypotenuse.

The side lengths  of a right triangle must satisfy the Pythagorean Theorem.

Pythagorean Theorem:

Option A:

True

Option B: 2.5, 6, 6.5

Option C:

Since all are true, the side lengths in Options A, B and C forms a right triangle,

Answer:

Side lengths a , b , c form a right triangle if, and only if, they satisfy a² + b² = c² . We say these numbers form a Pythagorean triple

Step-by-step explanation:

The Domain and Range are −2 ≤ x ≤ ∞ & 0 ≤ y ≤ ∞ respectively.

What are the Domain and Range?

Graphs can be used as another tool for determining the domain and range of functions. The domain of a graph is made up of all the input values displayed on the x-axis since the term "domain" refers to the set of potential input values. The y-axis on a graph represents the possible output values or range.

Domain:

The x-value at the farthest left point is at x = −2. Now continue tracing the graph until you get to the point that is the farthest to the right. The x-value at this point is at ∞. There are no breaks in the graph going from left to right which means it’s continuous from -2 to ∞.

Domain: [-2, ∞][−2, ∞] also written as −2 ≤ x ≤ ∞

Range:

Look at the furthest point down on the graph or the bottom of the graph. The y-value at this point is y=0. Now, look at how far up the graph goes or the top of the graph. This is when x = ∞, but now we’re finding the range so we need to look at the yy-value of this point which is at y = 0. There are no breaks in the graph going from down to up which means it’s continuous.

Range: [0, ∞][0, ∞] also written as 0 ≤ y ≤ ∞.

Hence, the Domain and Range are −2 ≤ x ≤ ∞ & 0 ≤ y ≤ ∞ respectively.

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The simple interest on 1600 with a 6% interest rate for 2 years is $192.

The simple interest simply means the method that's used to calculate the interest that's charged on a loan or money given out.

In this situation, we want to calculate the simple interest on 1600 with a 6% interest rate for 2 years. This will be calculated thus:

Simple interest = Principal × Rate × Interest

Simple interest = $1600 × 6% × 2

Simple interest = $1600 × 0.06 × 2

Simple interest = $192

The interest is $192.

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Complete question

Calculate the simple interest on 1600 with a 6% interest rate for 2 years.

The correct option is Joint variation, because there is not only diect variation or inverse variation.

What is variation in mathematics?

It gives the relationship between a set of variables with the other set of variables.

Consider the given equation.

R = kst / v²

In this question, details of variables is not given hence, consider k is constant and s, t, and v are variables.

Direct variation: When one variable is directly proportional to the other variable then the relation is known as direct variation.

Joint variation: When a variable depends directly or inversely on 2 or more than two variables then the variabtion is known as Joint variation.

Inverse: When a variable varies inversaly with respect to other variable then the the variation is known as inverse variation.

In the equation, there are 3 variables, R varies directly as s and t and varies inversely as [tex]v^2[/tex].

Hence, the correct option is Joint variation, because there is not only diect variation or inverse variation.

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Answer:

f(4) = 99

Step-by-step explanation:

22 times 4 is 88, 88 plus 11 is 99.

Answer:

y=-2/3x+2

Step-by-step explanation:

multiply -2/3 by the x coordinate (3) and set up your equation in y=mx+b format using the y coordinate (-4=-2+b) -4/-2 is 2. Now keep your original slope and your equation is y=-2/3x+2

The person who sells more vehicles per week between Shawn and Brett is Shawn who sells 9 vehicles sold per week.

In order to determine who sells more vehicles per week between Shawn and Brett, find the unit of cars sold per week.

Shawn:

Number of vehicles sold per week = Number of vehicles sold / Number of weeks

= 36/4

= 9 vehicles sold per week

Brett:

Number of vehicles sold per week = Number of vehicles sold / Number of weeks

= 56/7

= 8 vehicles sold per week

In conclusion, Shawn sold more vehicles per week.

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A. The temperature at noon will be 6°F.

B. The thing that represents zero in this situation is when the temperature is neither raised nor dropped and it's at the initial stage.

Temperature is the measure of how hot or cold something is expressed in terms of one of several scales, which include Fahrenheit and Celsius. The direction in which heat energy will spontaneously flow is indicated by temperature.

A. From the information, by 6:00 A.M., the temperature had dropped 4 F, and then the temperature raised 10 F by noon.

The temperature at noon will be:

= -4°F + 10°F

= 6°F

The temperature at 0 simply means the initial temperature.

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Answer:3,4

Step-by-step explanation:

The solution that correctly shows the slope calculation to enable Dorothy show that △PQR is a right triangle

Right triangles are triangles with have perpendicular relationships

The lines will be checked for perpendicularity by calculating the slopes, if any two slopes are negative reciprocals  then they are perpendicular and the triangle is a right triangle

Using point PQ

m = (y₂ - y₁) / (x₂ - x₁)

m = (1 - 5) / (-1 - -2)

m = -4

Using point QR

m = (y₂ - y₁) / (x₂ - x₁)

m = (3 - 1) / (7 - -1)

m = 2/8 = 1/4

Comparing the slopes shows that slopes calculated are negative reciprocals

-4 and 1/4

Therefore the triangle is a right triangle

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