4. The population of a small town is given by the function p=35t +1450, where t is the number
of years since 2015. What would the town's population be in 2020?

(1) 1,485
(3) 1,625
(2) 1,570
(4) 1,700

A. Addition

Explanation

PEMDAS is an acronym for the words parenthesis, exponents, multiplication, division, addition, subtraction. Given two or more operations in a single expression, the order of the letters in PEMDAS tells you what to calculate first, second, third and so on, until the calculation is complete

Step 1

so, firts calculate the parenthesis

the operation in parenthesis is an addition

i hope this helps you

I attached to pictures, one of me solving the equation for you step by step and then what the graph should look like when i put it in my calculator!!

Answer:

104%

Step-by-step explanation:

(275 × p) / 100 = 286

((275 × p) / 100) × 100 = 286 × 100

275p = 28600

275p / 275 = 28600 / 275

p = 104

Percent Increase = 104

Answer:

==> 104%

Step-by-step explanation:

Working Out

The problem we are solving is:

Work out the percentage increase between 275 and 561.

Difference is 561 - 275 = 286.

Divide the difference between the original number:

286 / 275 = 1.04.

Multiply by 100 to change to a percentage:

1.04 x 100 = 104%.

This number is positive so we have a percentage increase of 104%.

Given that each pie requires 6-8 apples, and each batch of applesauce requires 8 apples, it is possible to make approximately 22 apple pies and 24 batches of applesauce from the 264 apples that were picked.

Number in math is a symbol or group of symbols used to represent a numerical quantity. Numbers include both rational numbers, such as integers, fractions, and decimals, and irrational numbers, such as pi and e. The use of numbers in mathematics allows us to represent many different types of mathematical objects, such as sets, functions, and equations. Numbers also have numerous applications in everyday life, such as in finance, engineering, and science.

This would leave 4 apples leftover. It is important to note that the exact number of pies and batches of applesauce that can be made will depend on the size of the apples. If smaller apples are used, more pies and batches of applesauce could be made.

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Answer:

Which one specifically?

Step-by-step explanation:

Please specify which question to be answered

If the width of a rectangle is 8t-5.5 feet and the length is 5.5t + 7 feet. The perimeter of the rectangle will be 27t+3

It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

It is given that, The width of a rectangle is 8t-5.5 feet and the length is 5.5t + 7 feet.

We have to find find the perimeter of the rectangle.

The perimeter of a rectangle is two times the sum of the length and breadth as,

P = 2(l+w)

P=2(8t-5.5+5.5t + 7)

P=2(13.5t+1.5)

P=27t+3

Suppose the value of t is 1, the perimeter of the rectangle is found as,

P=27×1+3

P=30

Thus, if the width of a rectangle is 8t-5.5 feet and the length is 5.5t + 7 feet. The perimeter of the rectangle will be 27t+3

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Answer:

1 ) 0.023

2 ) 0.1004

Step-by-step explanation:

2 / 100 + 3 / 1000

= 0.02 + 0.003

= 0.020 + 0.003

= 0.023

1 / 10 + 4 / 10,000

= 0.1 + 0.0004

= 0.1000 + 0.0004

= 0.1004

Using the distance formula, the length of bc is found to be 2a, while the length of de simplifies to a. Therefore, bc is twice de, proving that de is half the length of bc.


The distance formula calculates the distance between two points in a Cartesian coordinate system. By applying this formula to the points involved in the problem, we can determine the lengths of bc and de. Using the coordinates given, we find that the length of bc is equal to 2a.

By substituting the coordinates of points d and e into the distance formula, we find that the length of de simplifies to a. Comparing the two lengths, we see that bc is twice the length of de, demonstrating that de is half the length of bc. This proof relies on the properties of midpoints, which divide a line segment into two equal parts, leading to the proportional relationship between bc and de.

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Answer:

y=3.54m

Step-by-step explanation:

it is pretty self explanatory

An algebraic expression for the statement could be as; y = 3.54m

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol.

Thus which can also be used to indicate the logical syntax's order of operations and other features.

We need to write an algebraic expression for the statement.

Given that The cost of m pounds of meat when the cost per pound is $3.54.

Therefore, the expression could be as;

y = 3.54m

hence, An algebraic expression for the statement could be as; y = 3.54m

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Answer:

50%

Step-by-step explanation:

Only 4 and 5 can be considered because 6 is not included, so the probability would be 2/4, or 50%.

Answer: 50%

Step-by-step explanation: It says if you pick a random card that is less than 6 or 4. That means that 4 and 5 are the ones you hope to get. 2/4 = 50%.

Answer:

y = 15

x = 43

Step-by-step explanation:

this is giving us a system of equations because we know two things:

x + y = 58

x - y = 28

take the second equation and format it where you have simplified it for one variable:

x = 28 + y

(we did this by adding y to both sides)

now substitute this new value of x into the first equation:

28 + y + y = 58

simplify this to get 2y = 30

divide both sides by 2: y = 15

now substitute your new value of y into the second equation:

x = 28 + 15

x = 43

Answer:

ur welcome

Step-by-step explanation:

The correct system of equations that can be graphed to find the solution(s) to 4x² = x²+ 7 is:

y = 3x² which represents the parabola that intersects the x-axis at (±√(7/3), 0).

y = 7, which represents the horizontal line that intersects the y-axis at y = 7.

The equation 4x²= x² + 7 can be rearranged into a quadratic equation by subtracting x² from both sides:

3x² = 7

To graph this equation, we can first solve for x by dividing both sides by 3:

x² = 7/3

x = ±√(7/3)

We can then plot the two points (±√(7/3), 0) on the x-axis, which represent the x-intercepts of the graph.

The system of equations that corresponds to the graph of this equation is:

y = 3x² which is a parabola that opens upward and passes through the point (0, 0).

y = 7, which is a horizontal line that intersects the y-axis at y = 7.

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The concept that a message gives different meanings to different objects is called option (b) polymorphism.

Polymorphism is a fundamental concept in object-oriented programming (OOP) that allows different objects to respond to the same message or method invocation in different ways. In other words, it allows objects of different classes to be treated as if they were of the same class, as long as they implement the same method or message.

This can make code more flexible, reusable, and easier to maintain. Polymorphism is achieved through inheritance, interfaces, or overloading methods. For example, a "draw" method could be implemented differently for different shapes, such as circles, rectangles, or triangles.

Therefore, the correct option is (b) polymorphism

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Answer:

vertically opposite angles

◗ 　They are vertically opposite angles.

Answer:

c

Step-by-step explanation:

t(a+2)= 3+a+2/a+2-3= 5+a/a-1

Answer: B (18.5b-21.2)

The required expression −18.5b − 21.2 is equivalent to the given expression which is the correct answer that would be option (A).

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

We have been given the expression below as

5(−2.3b − 4.1) − (7b + 0.7)

Open the parentheses and apply the distributive property of multiplication,

⇒ −2.3b × 5 − 4.1 × 5 − 7b - 0.7

⇒ -11.5 - 20.5 − 7b - 0.7

Rearrange the likewise terms and apply the arithmetic operation,

⇒ −18.5b − 21.2

Hence, the required expression −18.5b − 21.2 is equivalent to the given expression.

Thus, the correct answer would be an option (A).

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The overlapping area between the line y = x - 6 and the curve y = 6/x and evaluating the integer coordinates within this region, we find that there are 13 lattice points contained in R.

The region defined by the simultaneous conditions x - y < 6, xy < 6, and x > 0 can be determined by graphing the inequalities.

However, since the question asks for the number of lattice points in the region, we can solve it algebraically.

First, let's consider the condition x - y < 6. If we rearrange this inequality, we get y > x - 6. This represents a region above the line y = x - 6 on the coordinate plane.

Next, let's analyze the condition xy < 6. We can rewrite this inequality as y < 6/x.

This represents a region below the curve y = 6/x.

To find the region that satisfies both conditions, we need to identify the overlapping area between the line y = x - 6 and the curve y = 6/x. This overlapping area is our region of interest, denoted as R.

To determine the lattice points within R, we need to find the integer coordinates (x, y) that satisfy both inequalities.

Since x > 0, we can start by evaluating the integer values of x from 1 to 5. For each x-value, we can calculate the corresponding y-value using the equation y = x - 6. If this y-value is less than 6/x, it satisfies both conditions and is considered a lattice point within R.

For example, when x = 1, y = 1 - 6 = -5, which is less than 6/1. So the lattice point (1, -5) is within R.

By repeating this process for x = 2, 3, 4, and 5, we can determine the other lattice points within R.

After evaluating all possible integer values of x, we find that R contains a total of 13 lattice points.

Therefore, the answer to the question is that the region R contains 13 lattice points.

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Answer:

b. 9 (5+8)

Step-by-step explanation:

Answer:

Step-by-step explanation: (5+9)

Answer:

8 days

Step-by-step explanation:

Answer:

4 days

Step-by-step explanation:

\(120 - 8x = 60 + 7x\)

x=4

Answer:

$0.72 for 6 apples

Step-by-step explanation:

0.60 / 5 = 0.12

Answer: first chart or what ever ur say

Step-by-step explanation:

Answer:

Your answer is 18!

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

423/23.5=18

HTH

Answer:

Parallelogram has greater area.

Step-by-step explanation:

Given:

Base of parallelogram = 9 km

Height of parallelogram = 5 km

Base of triangle = 6 km

Height of triangle = 3 km

Find:

Greater area

Computation:

Area of parallelogram = Base x Height

Area of parallelogram = 9 x 5

Area of parallelogram = 45 km²

Area of triangle = (1/2)(b)(h)

Area of triangle = (1/2)(6)(3)

Area of triangle = (1/2)(18)

Area of triangle = 9 km²

Parallelogram has greater area.

Answer: 1/2

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

Answer:

All of them would be under $65

Answer:

D

Step-by-step explanation:

Answer:

 -3x2 + 12x - 8

Step-by-step explanation:

Equation at the end of step 1

 ((0 -  3x2) +  12x) -  8

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  -3x2 + 12x - 8  =   -1 • (3x2 - 12x + 8)  

Trying to factor by splitting the middle term

3.2     Factoring  3x2 - 12x + 8  

The first term is,  3x2  its coefficient is  3 .

The middle term is,  -12x  its coefficient is  -12 .

The last term, "the constant", is  +8  

Step-1 : Multiply the coefficient of the first term by the constant   3 • 8 = 24  

Step-2 : Find two factors of  24  whose sum equals the coefficient of the middle term, which is   -12 .

     -24    +    -1    =    -25  

     -12    +    -2    =    -14  

     -8    +    -3    =    -11  

     -6    +    -4    =    -10  

     -4    +    -6    =    -10  

     -3    +    -8    =    -11  

     -2    +    -12    =    -14  

     -1    +    -24    =    -25  

     1    +    24    =    25  

     2    +    12    =    14  

     3    +    8    =    11  

     4    +    6    =    10  

     6    +    4    =    10  

     8    +    3    =    11  

     12    +    2    =    14  

     24    +    1    =    25  

Answer: y=−3(x−2)^2+4

Step-by-step explanation:

f(x)=-3*x^2+12*x+-8

f(x)=-3*(x^2+-4*x+8/3) ( Factor out )

f(x)=-3*(x^2+-4*x+(-2)^2+-1*(-2)^2+8/3) ( Complete the square )

f(x)=-3*((x+-2)^2+-1*(-2)^2+8/3) ( Use the binomial formula )

f(x)=-3*((x+-2)^2+1*-4/3) ( simplify )

f(x)=-3*(x+-2)^2+4 ( expand )

ANSWER :

The pH level of a swimming pool indicates the level of acidity or alkalinity

of the swimming pool.

Correct Responses;

First Part:  Please find attached the required graph of the pH function created with MS Excel.

The pH value is 0 when x = 1

The pH value is 1 when x = 0.1

The pH level if the hydronium ions is raised to 0.50 is approximately 0.301029996.

Second Part: The transformation that results in a y-intercept is f(x + 1), because f(0 + 1) exists and is equal to 0.

STEPS

Method by which the above responses are obtained

First part

The given pH function is f(x) = -㏒₁₀x

Where;

x = The amount of hydronium ions

A substance with a pH < 7 is acidic

A substance with a pH > 7 is alkaline

A neutral solution has pH = 7

Water is a neutral solution

The graph of the pH function created with MS Excel is attached

The table of values of the graph is as follows;

From the graph, we have;

When the pH value is 0, the hydronium ion concentration is 1

The pH value is 1 when x = 1 × 10⁻¹ = 0.1

The pH level if the hydronium ions, x = 0.5 is given from the graph as follows;

pH = f(0.5) = -㏒₁₀(0.5) ≈ 0.301029996

The pH value when the hydronium ions is 0.5 is pH ≈ 0.301029996

Second Part

Using f(x) = -㏒₁₀x as the parent function, the graph of f(x) + 1, and f(x + 1) are plotted

From the graph, we have;

The graph of f(x) + 1 = -㏒₁₀x + 1

The graph of f(x + 1) = The graph of -㏒₁₀(x + 1)

At the y-intercept, x = 0, therefore;

f(x) + 1 = f(0) + 1 = -㏒₁₀0 + 1 = Undefined

f(x + 1) = f(0 + 1) = -㏒₁₀(0 + 1) = 0

Therefore;

The transformation that results in a y-intercept is f(x + 1) because f(0 + 1) is 0, which is defined.

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