Complete the ordered pair for the equation y = 3x + 5.
( ,-16)

The y-intercept is 40.5 the machine starts with 40.5 ounces of diet soda.

Option B is the correct answer.

We have,

From the graph plot,

We see that,

The y-intercept is when x = 0.

This means,

At 0 hours, the amount of diet soda is 40.5.

Now,

y = 40.5 means the machine starts with 40.5 ounces of diet soda.

Thus,

The y-intercept is 40.5 the machine starts with 40.5 ounces of diet soda.

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Given that the population is one-tenth as large as the prior year and that the starting population is 100,000, we have the sequence:

a_ 1 = 100000

a_ 2 = 10000

a_ 3 = 1000

a_ 4 = 100

a_ 5 = 10

Then:

In this case, we have r = 1/10 and the equation that models this situation is:

After 5 years, the population will be:

To solve for x, we need to isolate x on one side of the equation. To do this, we can first move all the terms that do not contain x to the right side of the equation by adding 3x and 2 to both sides:

2x - 2 + 3x + 2 = -3x + 13 + 3x + 2

5x = -3x + 15

8x = 15

Dividing both sides by 8, we get:

x = 15/8

= 1.875

Therefore, the value of x is approximately 1.875.

The value of x in equation 2x-2= -3x+13 is 3

To solve this equation we need to find the value of x so that all x terms should be one side and all constants should be at ones side:

2x+3x=13+2

5x=15

Now divide both side with 5 then, we get:

5x/5=15/5

x=3

Therefore, the value of x is 3

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Answer:

big

Step-by-step explanation:

pp

Answer:

4536

Step-by-step explanation:

Hesap makinesi kulan

Answer:

11

Step-by-step explanation:

7,8,10,12,15,16

12+10=22÷2=11

Answer:

11

Step-by-step explanation:

10, 12, 15, 16, 8, 7

Write the numbers in increasing order:

7, 8, 10, 12, 15, 16

The median is the middle number if there is an odd number of numbers.

Here we have an even number of numbers (6), so the median is the arithmetic mean (average) of the two middle numbers.

median = (10 + 12)/2 = 22/2 = 11

Answer:

Step-by-step explanation:

67001

Answer:

24. because 2009-2005+20 = 24. hope that helps

The sum of all the angles in a triangle is 180 degrees, so we get the equation:

  \(55 + 54 + (x + 74) = 180\\x + 183 = 180\\x = -3\)

The value of x is -3.

Hope that helps!

Answer:

(x+74)+55+54=180

x= -3

Thus, the perimeter of the shown triangle using the distance formula is found as  13.45 units.

A path that encircles a region is referred to as a perimeter. Adding the lengths of every one of the sides together is the simplest formula for calculating the perimeter. The word circumference, that only encompasses a circle's perimeter, is used to describe the distance around a circle.

Given that:

Perimeter = sum of all sides

Perimeter = AB + BC + CA

Estimate each distance using the distance formula:

d = √(x2 - x1)² + (y2 - y1)²

AB = √(1 - 5)² + (5 - 3)²

AB = √(-4)² + (-2)²

AB = √(16 + 4)

AB = √20

BC = √(3 - 1)² + (0 - 5)²

BC = √(2)² + (-5)²

BC = √(4 + 25)

BC = √29

CA = √(5 - 3)² + (3 - 0)²

CA = √(2)² + (3)²

CA =  √(4 + 9)

CA = √13

Perimeter = AB + BC + CA

Perimeter = √20 + √29 + √13

Perimeter = 4.47 + 5.38 + 3.60

Perimeter = 13.45 units.

Thus, the perimeter of the shown triangle using the distance formula is found as  13.45 units.

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Answer: 0.333 repeating

Step-by-step explanation:

Answer:

Correct option is B)

n(AUB)=n(A)+n(B)−n(A∩B)

     =75+45−35

=85

number of students owing car or stereos=85

number of students neither car nor stereo =100−85=15

The number of students who do not own either a car or an iPod is 25.

Union of two given sets is the smallest set which contains all the elements of both the sets.

Intersection of two given sets is the largest set which contains all the elements that are common to both the sets

The union of two sets is given by

n(A∪B) = n(A) + n(B) -n(A∩B)

Where,

A and B are the two sets.

∪ is the union

∩ is the intersection.

According to the given question.

Total number of students in a college = 100

Total number of students who own iPods, n(A) = 55

Total number of students who own cars, n(B) = 25

Number of students who own both cars and iPods, n(A∩B) = 5

Therefore,

The number of students who own cars or iPods is given by

n(A∪B) = n(A) + n(B) - n(A∩B)

⇒n(A∩B) = 55 + 25 - 5

⇒ n(A∪B) = 75

So, the number of students who do not own either a car or an iPod

= 100 - 75

= 25

Hence, the number of students who do not own either a car or an iPod is 25.

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Answer:

Step-by-step explanation:

Answer: A=50.27, c=25.13

Step-by-step explanation:

B. f(x) = csc(x - pie ) + 2 = - csc(x) + 2

C. f(x) = - csc(x - 2pie) + 2 = - csc(x) + 2

F. f(x) = - sec(x - 9pie/2 ) + 2 = - sec( x - 4pie - pie/2 ) + 2

= - sec(x - pie/2) + 2 = - csc(x) + 2

An inequality to represent the cost of Jason’s food for the party is

An inequality to represent this situation "Jason knows that he will be buying at least 5 packages of hot dogs" is

The two options for buying wings and hot dogs include the following:

In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of wings respectively, and then translate the word problem into algebraic equation as follows:

Since one package of wings costs $7 and Hot dogs cost $5 per package, and he must spend no more than $40, a linear inequality which represents this situation is given by;

7x + 5y ≤ 40

Additionally, since Jason knew he would buy at least 5 packages of hot dogs, a linear inequality which represents this situation is given by;

y ≥ 5

Next, we would use an online graphing calculator to plot the above system of linear inequalities as shown in the graph attached below.

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Answer:

m∠KLM = 64° ; m∠M = 26°

Step-by-step explanation:

(20x + 4)° = (6x + 4)° + (8x + 18)°

20x + 4 = 14x + 22

6x = 18

x = 3

m∠KLM = (20×3 + 4)° = 64°

m∠M = 90° - 64° = 26°

The measure of angle B is approximately equal to 56.31 degrees, rounded to two decimal places.

An angle measure is a numerical value that represents the amount of rotation between two intersecting lines, line segments or rays. It is typically measured in degrees, although other units of measurement such as radians and grads may also be used. The size of an angle can range from 0 degrees (corresponding to no rotation or a straight line) to 360 degrees (corresponding to a full rotation). In geometry, angles are used to describe the relationships between lines and shapes, and are an important concept in fields such as trigonometry and calculus.

To find the measure of angle B given cot B = 0.57736, we can use the inverse tangent function.

The tangent of an angle is the ratio of the opposite side to the adjacent side,

So cot B = adjacent side / opposite side.

By taking the inverse tangent of both sides and substituting cot B for adjacent side / opposite side, we arrive at the equation

B = arctan(cot B).

Evaluating arctan(cot B) using a calculator gives us the measure of angle B as,

B = arctan(cot B) = 56.31° (rounded to two decimal places)

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The complete question is: "Given cot B = 0.57736, determine the measure of angle B".

The greatest common divisor of 5! and 7! is 840.

To find the greatest common divisor (GCD) of 5! and 7!, we need to calculate the prime factorization of both numbers.

First, let's calculate the prime factorization of 5!:

5! = 5 * 4 * 3 * 2 * 1 = 120.

The prime factorization of 120 is 2^3 * 3 * 5.

Now, let's calculate the prime factorization of 7!:

7! = 7 * 6 * 5! = 7 * 6 * 120 = 5040.

The prime factorization of 5040 is 2^4 * 3^2 * 5 * 7.

To find the GCD of 5! and 7!, we need to find the common factors in their prime factorizations. We take the smallest exponent for each prime factor that appears in both factorizations.

From the prime factorizations above, we can see that the common factors are 2^3, 3, 5, and 7. Multiplying these factors together gives us:

GCD(5!, 7!) = 2^3 * 3 * 5 * 7 = 8 * 3 * 5 * 7 = 840.

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Answer: No solution. 27=9

Answer:

increase

Step-by-step explanation:

because if there is more members well need more water

Answer:

42  headbands per dancer

Step-by-step explanation:

Selling 1260 headband

Divide by the three coaches

1260/3

420 per coach

Divide by each dancer under a coach

420/10 = 42

Each dancer must sell 42 headbands

When a person places $48,800 in an investment account at an annual rate of 3.1% compounded continuously, using the formula, V = \(Pe^rt\), the amount of money (future value) after 13 years is $73,019.78.

Compounding refers to the process or interest system that computes periodic or continuous interest on both the principal and accumulated interest.

We can solve for the future value of an investment under continuous compounding using an online finance calculator as follows:

Using the formula V = \(Pe^rt\)

Principal (P) = $48,800.00

Annual Rate (R) = 3.1%

Compound (n) = Compounding Continuously

Time (t in years) = 13 years

Result:

V = $73,019.78

V = P + I where

P (principal) = $48,800.00

I (interest) = $24,219.78

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 3.1/100

r = 0.031 rate per year,

Solving the equation for V:

V = \(Pe^rt\)

V = \(48,800.00(2.71828)^(0.031)(13)\)

V = $73,019.78

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9. The value of x is 7

10. In the figure  x = 10

11. The relationship is that their sum is 180 degrees

This relationship is known as the Same-Side Interior Angles Theorem.

12. The statement is true.

Supporting statement: If the two lines are parallel, then the alternate exterior angles created by the transversal line are equal

14 < 3 = 94 degrees

9. The value of x is solved using the knowledge of corresponding angles are equal

< A = < B

4x = 3x + 7

x = 7

10. In the figure < 3 and < 6 are alternate internal angles which is equal

7x - 10 = 5x + 10

7x - 5x = 10 + 10

2x = 20

x = 10

11. The relationship between the interior angles on the same side is that their sum is 180 degrees

This relationship is known as the Same-Side Interior Angles Theorem. It is a fundamental concept in geometry and is used to solve problems involving parallel lines and transversals.

12. The statement is true.

Supporting statement: If the two lines are parallel, then the alternate exterior angles created by the transversal line are equal

13. The measure of w is solved using the idea of vertical angels

w + 85 = 148

w = 148 - 85

w = 63

14. The mistake is that < 5 is not corresponding angle to < 2

The correct solution is < 3 = < 5 alternate internal angles

< 3 + 86 = 180 supplementary angles

< 3 = 180 - 86

< 3 = 94 degrees

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You don't give much information but I will give you the definition of "density".

In all simpleness, the definition of density is the compactness of a substance.

Density can be found with the formula; p = m/v

p = density

m = mass

v = volume

Best of Luck!

We have start with circle B, which is a circle with radius equals to 3 and centered at (4, 4).

The circle A has a radius equals to 4. If we dilate the image of the circle B around the center of circle A by the ratio between the radius, we're going to have circle A.

Translation means the displacement of a figure or a shape from one place to another. If we translate the circle B 8 units to the left, The image is going to have the same center as circle A.

The transformations that takes circle B to circle A are a dilation around (4, 4) by a factor of 4/3, and then a horizontal translation of 8 units to the left.

Answer:

1) List the coordinates ΔABC

2) State the rule of dilation

3) Apply the rule:

Ans: A´(6,6) B´(12,18)C´(18,6)

-----------------------------

hope it helps...

have a great day!!

Answer:

A(6,6) B(12,18)C (18,6)

Step-by-step explanation:

hope it helps you...

We are given the equation of a parabola, and we are asked to find its vertex and axis of symmetry

The general form of a quadratic equation is the following

Written in this form, the point (h,k) represent the vertex of the parabola, that means that in the equation given by the problem

The vertex is the point

To find the axis of symmetry we need to expand the equation by solving the parenthesis and simplifying

Written in this form, we have that the axis of symmetry is given by

where the coeficient b and a, come from the equation, knowing that the general form is the following

therefor, the axis of symmetry is equal to

Answer:

I need help with this too!!!

Step-by-step explanation:

Answer:

what does it mean?

Step-by-step explanation:

I do not understand.