Use the Fundamental Theorem of Calculus to find y′. pls help

Answer:

82

Step-by-step explanation:

you multiply 4(25)

which is 100

and then (9)2

which is 18

and then subtract 18 from 100

which gives you 82

Answer:

he spent $18.57 and he can spend $7.43 more

The solution is, he can still spend no more than $6.43.

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

given that,

Wyatt wants to spend no more than $25 at the grocery store.

He bought a pizza for $7.55 and a cake for $11.02 (including tax).

now, we have to find the inequality that he can use to find how much money he can still spend.

let, we would spend = x

now, we have,

He bought a pizza for $7.55 and a cake for $11.02

so, he had = $ x - ( 7.55 + 11.02)

we have,

x ≥ 25

so, he can still spend ≥ 25 -  ( 7.55 + 11.02)

or, he can still spend ≥ 6.43

i.e.  he can still spend no more than $6.43

Hence, The solution is, he can still spend no more than $6.43.

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Answer:

you have a chance of having a baby...

Answer:

chance of relief stress and having a baby

Step-by-step explanation:

hope it helps you

$6042.22 is the monthly payment on the mortgage.

To calculate the monthly payments on the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:

\(M = P*(\frac{r}{12} )/(1 - (1 +\frac{r}{12})^{(-n*12)})\)

where M is the monthly payment, P is the principal (loan amount), r is the yearly interest rate, and n is the number of years.

Substituting the given values, we get:

\(M = 1200000*(0.0195/12)/(1 - (1 + 0.0195/12)^(-20*12))\)

Simplifying, we get:

M = $6042.22(rounded to the nearest cent)

So the monthly payment on the mortgage is $6042.22.

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The capacity of the mug is 1.2. The capacity of the mug can be found by using the equation C = (3/4) ÷ (5/8).

It is the maximum amount of output that can be produced in a given period of time. Capacity is usually expressed in terms of units per unit of time, such as gallons per minute or passengers per hour.

In this equation, 3/4 represents the amount of water in the mug, and 5/8 represents the amount the mug is full.

Let the capacity of the mug be x.

Given,

Mug is 5/8 full and contains 3/4 of water

So, 5/8 of the mug is filled with water

Therefore,

5/8 of x = 3/4

(5/8 )x = (3/4)

x = (3/4) × (8/5)

x = (24/20)

x = 1.2

Therefore, the capacity of the mug is 1.2.

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Answer:

8 × 10 + 5 × 1. is the correct answer .STAY BRAINLY

Answer:

wheres the diagram..?

Step-by-step explanation:

..i think you forgot the diagram lol

Answer:

The distance between the pair of points is 12.0 (to the nearest tenth)

Step-by-step explanation:

The distance between a pair of points in a coordinate system is found by the formula:

d =\(\sqrt({x_2-x_1)^2+(y_2-y_1)^2}\)

where, the points are:

\((x_1,y_1)\ and\ (x_2,y_2)\)

From the graph,

\((x_1,y_1)=(-6,-2)\\(x_2,y_2)=(2,7)\)

Substitute the points into the formula:

\(d=\sqrt{(2-(-6)^2+(7-(-2)^2} \\d=\sqrt{(2+6)^2+(7+2)^2} \\d=\sqrt{8^2+9^2} \\d=\sqrt{64+81} \\d=\sqrt{145} \\\d=12.0\)

The equation is x² + y² = 277 and the value of x and y is 9 and 14 respectively

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the two number be x and y

One integer is 5 less than another

So , x = y - 5  

x - y = -5   be equation (1)

And , sum of their squares is 277

So , x² + y² = 277   be equation (2)

On simplifying the equation , we get

( x - y )² = x² + y² - 2xy

Substituting the values in the equation , we get

( -5 )² = 277 - 2xy

2xy = 277 - 25

2xy = 252

And , ( x + y )² = x² + y² + 2xy

Substituting the values in the equation , we get

( x + y )² = 277 + 252

( x + y )² = 529

( x + y ) = 23   be equation (3)

Adding equation (1) and equation (3) , we get

2x = 18

x = 9

So , y = 14

Therefore , the value of x and y is 9 and 14 respectively

Hence , the equations are solved

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Answer:

D. a = 0.25q

Explanation:

A quarter has a value of $0.25, so the amount of money when you have q quarters is equal to 0.25 times q.

If the amount of money is represented by letter a, we get:

a = 0.25q

Therefore, the answer is

D. a = 0.25q

Answer:

Length of hypotenuse = 44√2 in²

Step-by-step explanation:

Given:

Length of legs = 44 in

So,

Perpendicular = 44 in

Base = 44 in

Find:

Length of hypotenuse

Computation:

Hypotenuse = √Perpendicular² + Base²

Length of hypotenuse = √44² + 44²

Length of hypotenuse = 44√2 in²

Answer:

Step-by-step explanation:

In the Intermediate Phase of mathematics education, one topic that demonstrates a hierarchical and logical progression in patterns, functions, and algebra is the concept of "Linear Equations."

The topic of Linear Equations in the Intermediate Phase builds upon the foundation laid in earlier grades and serves as a stepping stone towards more advanced algebraic concepts. Here is an overview of the topic sequence and content area spread for Linear Equations:

Introduction to Variables and Expressions:

Students are introduced to the concept of variables and expressions, learning to represent unknown quantities using letters or symbols. They understand the difference between constants and variables and learn to evaluate expressions.

Solving One-Step Equations:

Students learn how to solve simple one-step equations involving addition, subtraction, multiplication, and division. They develop the skills to isolate the variable and find its value.

Solving Two-Step Equations:

Building upon the previous knowledge, students progress to solving two-step equations. They learn to perform multiple operations to isolate the variable and find its value.

Writing and Graphing Linear Equations:

Students explore the relationship between variables and learn to write linear equations in slope-intercept form (y = mx + b). They understand the meaning of slope and y-intercept and how they relate to the graph of a line.

Systems of Linear Equations:

Students are introduced to the concept of systems of linear equations, where multiple equations are solved simultaneously. They learn various methods such as substitution, elimination, and graphing to find the solution to the system.

Word Problems and Applications:

Students apply their understanding of linear equations to solve real-life word problems and situations. They learn to translate verbal descriptions into algebraic equations and solve them to find the unknown quantities.

The content area spread for Linear Equations includes concepts such as variables, expressions, equations, operations, graphing, slope, y-intercept, systems, and real-world applications. The progression from simple one-step equations to more complex systems of equations reflects a logical sequence that builds upon prior knowledge and skills.

By following this hierarchical progression, students develop a solid foundation in algebraic thinking and problem-solving skills. They learn to apply mathematical concepts and procedures in a systematic and logical manner, paving the way for further exploration of patterns, functions, and advanced algebraic topics in later phases of mathematics education.

The median of the distances is M = 6.5 kilometers

Given data ,

To find the median of a set of numbers, we arrange the numbers in ascending order and then locate the middle value. If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

Arranging the given set of numbers in ascending order: {4, 5, 8, 11}

Since the set has an even number of values, the median is the average of the two middle numbers. In this case, the two middle numbers are 5 and 8. To find the average, we add these two numbers and divide by 2:

(5 + 8) / 2 = 13 / 2 = 6.5

Hence , the median of the given set {4, 5, 8, 11} is 6.5

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Answer:

Step-by-step explanation:

a. 11/10

b.  The function approaches 1 as it goes on forever but there is technically no minimum value as it keeps decreasing since it keeps getting smaller and smaller infinitely

c.
Explicit a_n = (n+1)/n

easier to write explicit as the value depends on its position rather than the previous term.

•ω• Hewo fren!

☆☆●◉✿Answer:✿◉●☆☆

1/2*1/2*1/2*1/2= \(\frac{1}{2} ^{4}\)  Which is apparently none of these answers since it’ll be 1/16.

(Did you make a mistake with 5/16?)

☆☆●◉✿Step-by-step explanation:✿◉●☆☆

I know it is not 4/48 because that’ll be 1/12.

I know it would not be 1/20736 because the number is too small.

I know it would not be 4/12 beacuse that’ll be 1/3

And Iast but now Ieast I know it wouldn’t be 5/16 because that cannot be simplified.

HOPE I HELPED!  ∧∧

→⇒brainliest please? ∑(OΔO )♥♥︎

The average rate of change of the function over the interval is 1

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

f(x) = x

The interval is given as

From x = 4 to x = 9

The function is a linear function

This means that it has a constant average rate of change

So, we have

f(4) = 4

f(9) = 9

Next, we have

Rate = (9 - 4)/(9 - 4)

Evaluate

Rate = 1

Hence, the rate is 12

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Answer: 20

Step-by-step explanation:

Answer:

1.029 is greater than 1.0275

Step-by-step explanation:

Answer:

1.029

Step-by-step explanation:

What is greater 1.0275 or 1.029

.027 < .029

So, 1.029 is greater.

Answer:

15a + 35

Step-by-step explanation:

5(3a + 7) ← multiply each term in the parenthesis by 5

= 15a + 35

Answer:

The best buy is the 16-ounce drink

Step-by-step explanation:

here, we see that,

12 ounce = 3/4 (16 ounce)

So, the price should reflect that,

i.e,

price of 12 ounce drink = 3/4 (price of 16 ounce drink)

By this metric,

Price of 12 ounce drink = 3/4 ( 1.19)

Price of 12 ounce drink = $0.8925

So, 12-ounce drink should cost $0.8925 but the actual drink costs $0.99,

So, it is more expensive than it should be,

So, the best buy is the 16-ounce drink

The Selling Price of The Book before discount will be 20

Answer:

To determine the dimensions of a can that will maximize volume, we can use the following steps:

Step 1: Identify the variables:

Let's assume the dimensions of the can are the height (h) and the radius of the base (r). These are the variables that we need to find to maximize the volume.

Step 2: Set up the equation for the volume of the can:

The volume of a cylindrical can is given by the formula V = πr²h, where V is the volume, r is the radius, and h is the height.

Step 3: Set up the constraint equation:

The total surface area of the can is given as 600 cm². The surface area consists of the curved surface area and the area of the circular base. The curved surface area is given by A = 2πrh, and the area of the circular base is given by B = πr². The total surface area can be expressed as: A + B = 600 cm².

Step 4: Solve the constraint equation for h:

Since we want to express h in terms of r, we rearrange the constraint equation: h = (600 - πr²) / (2πr).

Step 5: Substitute the value of h into the equation for the volume:

Substituting the value of h into the volume equation, we get: V = πr²[(600 - πr²) / (2πr)].

Step 6: Simplify the equation for the volume:

Simplifying the equation further, we get: V = (600r - πr³) / 2.

Step 7: Find the derivative of V with respect to r:

To find the maximum volume, we take the derivative of V with respect to r and set it equal to zero, then solve for r.

dV/dr = (600 - 3πr²) / 2 = 0.

Step 8: Solve for r:

Solving the equation, we have:

600 - 3πr² = 0

3πr² = 600

r² = 200

r = √200 ≈ 14.14 cm.

Step 9: Find the corresponding value of h:

Using the constraint equation, we substitute the value of r into the equation for h:

h = (600 - πr²) / (2πr)

h = (600 - π(14.14)²) / (2π(14.14))

h ≈ 10 cm.

Therefore, the dimensions that will maximize the volume of the can are approximately:

- Radius (r) ≈ 14.14 cm

- Height (h) ≈ 10 cm.

Answer:

A.  (-15, -5)

C.  (3, 2)

E.  (21, 8)

Step-by-step explanation:

From inspection of the graph, two points on the line are:

Substitute the two points into the slope formula:

\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-1}{-3-0}=\dfrac{-1}{-3}=\dfrac{1}{3}\)

Substitute the slope and the y-intercept into the slope-intercept formula to create an equation of the line:

\(\implies y=\dfrac{1}{3}x+1\)

To determine which of the given points are solutions to the graph, substitute each x-value into the equation and compare with the the y-value of the solutions.

\(x=-15 \implies y=\dfrac{1}{3}(-15)+1=-4 \implies (-15,-4)\)

\(x=-6 \implies y=\dfrac{1}{3}(-6)+1=-1 \implies (-6,-1)\)

\(x=3 \implies y=\dfrac{1}{3}(3)+1=2 \implies (3,2)\)

\(x=12 \implies y=\dfrac{1}{3}(12)+1=5 \implies (12,5)\)

\(x=21 \implies y=\dfrac{1}{3}(21)+1=8 \implies (21,8)\)

Therefore, the solutions to the graph are:

Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

Answer:

c.  11

Step-by-step explanation:

3p + 10 = 2p + 21

Subtract 2p from both sides.

3p - 2p + 10 = 2p - 2p + 21

Simplify.

p + 10 = 21

Subtract 10 from both sides.

p + 10 - 10 = 21 - 10

Simplify.

p = 11

Answer: c.  11

Answer:

c.11

Step-by-step explanation:

3+10=2+21

3+10−10=2+21−10

3=2+11

3−2=2+11−2p

=11

hope this helps

have a nice day

The inequality that matches the graph is y ≥ 5.

Inequality is a term used to describe the unequal distribution of resources or opportunities among members of a society. It is a state of being where people are not treated with equal rights and access to resources and services. Inequality can manifest itself in various forms, such as income inequality, gender inequality, racial inequality, or educational inequality. Inequality is a social issue that has been present throughout history and continues to exist in many countries today. It can lead to a variety of negative consequences, ranging from poverty, social unrest, and violence to discrimination and exclusion. The issue of inequality is a complex one and requires a multi-faceted solution that incorporates economic, social, and political initiatives.

This is because the graph shows a line that is greater than or equal to 5 on the y-axis. The line does not fall below 5, indicating that the inequality is y ≥ 5.

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The total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.

In addition, items are combined and counted as a single large group. The process of adding two or more numbers together is known as addition in mathematics. The terms "addends" and "sum" refer to the numbers that are added and the result of the operation, respectively.

To find the total number of atoms represented by Cd(CH₂CICO₂)₂, we need to count the number of atoms of each element in the molecule and add them up.

Cd(CH₂CICO₂)₂ contains:

1 cadmium (Cd) atom

2 carbon (C) atoms

6 hydrogen (H) atoms

4 oxygen (O) atoms

2 chlorine (Cl) atoms

Adding these up, we get:

1 + 2 + 6 + 4 + 2 = 15

Therefore, the total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.

The answer is (D) 15.

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The rate of change of the Distance between the planes is zero. This means that the distance between the planes remains constant throughout their respective flights.

The rate of change of the distance between the planes, we need to determine how the distance between them changes over time.

the distance between the two planes is represented by the variable D, and time is represented by the variable t.

At noon, the southbound plane starts flying and continues for 4 hours until 4 pm. During this time, the plane covers a distance of 900 km/h * 4 hours = 3600 km due south.

Meanwhile, the eastbound plane is also traveling towards the airport. It starts from a distance of 2000 km away from the airport at 4 pm.

To find the distance between the planes at any given time, we can use the Pythagorean theorem, as the planes are moving at right angles to each other. The distance D between the planes can be calculated as:

D^2 = (2000 km)^2 + (3600 km)^2

Simplifying the equation:

D^2 = 4000000 km^2 + 12960000 km^2

D^2 = 16960000 km^2

Taking the square root of both sides:

D = sqrt(16960000) km

D = 4120 km

Now, we can find the rate of change of the distance between the planes by calculating the derivative of the distance equation with respect to time

dD/dt = 0

Since the distance between the planes is constant, the rate of change is zero.

Therefore, the rate of change of the distance between the planes is zero. This means that the distance between the planes remains constant throughout their respective flights.

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