Billy wants to hire a plumber to fix a faucet at his house. The plumber charges $125 initial fee and $85 per hour he is working.

Answers:

\(t_{10} = -22 \ \text{ and } S_{10} = -85\)

========================================================

Explanation:

\(t_1 = \text{first term} = 5\\t_2 = \text{first term}-3 = t_1 - 3 = 5-3 = 2\)

Note we subtract 3 off the previous term (t1) to get the next term (t2). Each new successive term is found this way

\(t_3 = t_2 - 3 = 2-3 = -1\\t_4 = t_3 - 3 = -1-3 = -4\)

and so on. This process may take a while to reach \(t_{10}\)

There's a shortcut. The nth term of any arithmetic sequence is

\(t_n = t_1+d(n-1)\)

We plug in \(t_1 = 5 \text{ and } d = -3\) and simplify

\(t_n = t_1+d(n-1)\\t_n = 5+(-3)(n-1)\\t_n = 5-3n+3\\t_n = -3n+8\)

Then we can plug in various positive whole numbers for n to find the corresponding \(t_n\) value. For example, plug in n = 2

\(t_n = -3n+8\\t_2 = -3*2+8\\t_2 = -6+8\\t_2 = 2\)

which matches with the second term we found earlier. And,

\(tn = -3n+8\\t_{10} = -3*10+8\\t_{10} = -30+8\\t_{10} = \boldsymbol{-22} \ \textbf{ is the tenth term}\)

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

The notation \(S_{10}\) refers to the sum of the first ten terms \(t_1, t_2, \ldots, t_9, t_{10}\)

We could use either the long way or the shortcut above to find all \(t_1\) through \(t_{10}\). Then add those values up. Or we can take this shortcut below.

\(Sn = \text{sum of the first n terms of an arithmetic sequence}\\S_n = (n/2)*(t_1+t_n)\\S_{10} = (10/2)*(t_1+t_{10})\\S_{10} = (10/2)*(5-22)\\S_{10} = 5*(-17)\\\boldsymbol{S_{10} = -85}\)

The sum of the first ten terms is -85

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

As a check for \(S_{10}\), here are the first ten terms:

Then adding said terms gets us...

5 + 2 + (-1) + (-4) + (-7) + (-10) + (-13) + (-16) + (-19) + (-22) = -85

This confirms that \(S_{10} = -85\) is correct.

The quantity of more flour that she needs to add would be = 3/4

A fraction is defined as the representation of the part of a whole data in a form of numerator and denominator.

The quantity of flour Ryan needs for baking = 3¼

The quantity of flour she has already added = 2½

The remaining amount that she needs to add;

= 3¼-2½

= 3/4

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Answer:

-4<x≤5

Step-by-step explanation:

first at negative 4 there is a white dot and it’s pointing right so x is greater then it

And at 5 it is a closed dot pointing left so x is less then and equal to 5

Hopes this helps

Question 9

18, 28, 6, 54

Question 10

Correct Number: 5

Incorrect Number: 6

Answer:

ur image isnt loading on my screen

Step-by-step explanation:

Answer:

8 pounds total

Step-by-step explanation:

first calculate how much she used in total

1/4 + 3/8

need like denominators so multiply 1/4 by 2

2/8 + 3/8 = 5/8

so 5/8 of the total is 5 pounds, now find the total

if 5/8 = 5, then 8/8 = _8_

The area of the canvas can be calculated by taking the product of its length and width, which is 2w-5 and w+2, respectively, and then simplifying this expression to 5w²+3w-2, which is option D.

An expression is a mathematical statement that contains numbers, variables, and operations but lacks the equal sign.

To calculate the area of the canvas, we need to know the length and width of the canvas.

Since the length of the canvas will be 5 inches less than twice the width, the length can be expressed as:

2w-5.

The width of the canvas must include the extra 2 inches of fabric on each side to stretch and secure it around the frame, so the width is expressed as:

w+2.

The area of the canvas is then the product of the length and width,

= (2w-5)(w+2).

When this equation is simplified, it reduces to 5w²+3w-2, which is option D.

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Answer: A

Step-by-step explanation:2020 edg

Answer: the answer is A

Step-by-step explanation:

just did it on edge

Answer:

hi

Step-by-step explanation:

hi

Answer:

Hold on let me seee!!!!!!!

Answer:

12

Step-by-step explanation:

2x + 24° = 4x ( being vertically opposite angles)

4x - 2x = 24°

2x = 24°

x = 24° / 2

x = 12°

Hope it will help :)

Answer:

x = 1

Step-by-step explanation:

Both equations can be set equal to each other since they are both equal to y:

\(x-10=-4x-5\\5x-10=-5\\5x=5\\x=1\)

equate both equations !

x - 10 = -4x - 5

5x - 10 = -5

5x = 5

x = 1

therefore x = 1

Answer:

Zack = x

Tony = x + 6

x + x + 6 = 42

2x + 6 = 42

2x = 36

x = 18

So,

Zack = x = 18

Tony = x + 6 = 18 + 6 = 24

The daffodils flower Pate needs is 8, total number of flower when rose is 2, is 18 and the carnations to be needed for decoration is 15.

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

Pete is making decorations for a dinner party. The instructions tell him to use 9 flowers for a medium-sized decoration which has 2 lilies, 1 rose, 3 carnations, 2 daffodils and 1 iris.

The ratio of daffodils to total flower is,

n=2/9.

To make a large decoration, Pete uses 36 flowers. Let suppose the daffodils flower he needs for this is x. Thus,

x=36*(2/9)

x=4*2

x=8

The rose flower is increased from 1 to 2. Thus, the total number of flower also be twice for decoration.

Flower=2*9

Flower=18

Now Pete uses 10 lilies instead of 2 which is 5 times the medium-sized decoration. Thus, the carnations to be needed is,

Carnations=3*5

Carnations=15

Hence, the daffodils flower Pate needs is 8, total number of flower when rose is 2, is 18 and the carnations to be needed for decoration is 15.

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To eliminate the x variable, you should multiply the equation by -(coefficient of x in the second equation)/(coefficient of x in the first equation)

One way of solving systems of linear equations is by using the method of elimination. This method involves adding or subtracting a multiple of one equation to the other in order to eliminate one of the variables.

In order to eliminate one of the variables, you should multiply the first equation by a coefficient that will make one of the variables in the first equation the opposite of the corresponding variable in the second equation when they are added.

For example, if you want to eliminate the variable x, you should multiply the first equation by a coefficient that makes the coefficient of x in the first equation the opposite of the coefficient of x in the second equation.

So if the equation is y = mx + b, to eliminate the x variable, you should multiply the equation by -(coefficient of x in the second equation)/(coefficient of x in the first equation).

It's important to note that you should be careful when choosing the coefficient, you should make sure that you don't divide by zero.

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1).  0 + (-3) = = -3 is Additive Inverse

2).2(3-5) = 2(3)3) - 2(5) is Associative Property

3). (-6) + (-7) = (-7) + (-6) is Commutative Property

4).1(-9) = = -9 is Multiplicative Identity

5).(-4) (-1/4) = 1 is Commutative Property

6). 2 (3 x 7) = (2 X 3) x 7 is  Associative Property

7). 10 + (-10) = 0 is Additive Inverse

8). 2(5) 5(2) is Commutative Property

9).1(-1/4)= -1/4 is  Multiplicative Identity

10).  (-3)(4 + 9) = (-3)(4) + (-3)(9) ​ is Distributive Property

What is Additive inverse ?

To get a result equal to 0, add the original number and the additive inverse by simply changing the sign of the integer. On the basis of negation of the original number, the characteristics of additive inverse are listed below. For instance, if x is the starting number, then -x is x's additive inverse.

What is Commutative Property ?

This law merely asserts that while adding and multiplying integers, you can rearrange the numbers in a problem without changing the solution. Division and subtraction do not work interchangeably.

A+B=B+A

What is Multiplicative Identity ?

An element of a set that remains intact after being multiplied by any other element of the set. In the set of real numbers, 1 is a multiplicative identity.

What is  Distributive Property?

The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.

What is  Associative Property?

A mathematical principle known as the associative property states that grouping the factors in a multiplication problem does not affect the solution.

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Answer:

C

Step-by-step explanation:

join my stream for an explanation

(ChildofHermes)

please mark brainliest

im only streaming for 15 more hours

Answer:

Choice C

Step-by-step explanation:

2654^0 and 5^0

Which is greater?

There's a law of exponents for solving this type of question.

The law states that,

Same case here.

And,

Hence, they are same.

2654⁰ = 5⁰

Answer:

Step-by-step explanation:

The number 75 is a rational number. It is the resulting quotient when the integer 75 is divided by 1.

Answer:

rational

Step-by-step explanation:

rational numbers are all integers

irrational numbers are numbers that cannot be written as a fraction.

Answer: C. The amount of data collected was inadequate:

Step-by-step explanation: Interviewing 15 students out of 1,200 does not show an accurate result, as he should have interviewed more students. Also, just took the quiz.

The exact solution of the given initial value problem is calculated to be y = e^(x^2).

Given the differential equation is y′ = 2x(l y) and the initial condition y(0) = 0.

The exact solution of the given initial value problem is y = e^(x^2)
To get the results of y0(x), y1(x), y2(x), y3(x), and y4(x), we use the Euler’s method.
For Euler's method, we have to find the values of Δx and substitute the values of y, x, and Δx into the given difference equation.
From the given initial value problem y′ = 2x(l y), the first-order differential equation can be written in the form of y′= f(x,y) where f(x, y) = 2x(ly)
By Euler’s method, we get y1(x) = y0(x) + Δx f(x0, y0)
y1(x) = y0(x) + Δx (2x0 ly0)
y1(x) = 0 + Δx (2 × 0 × l0)
y1(x) = 0
Thus, y1(x) = 0
Now, we will calculate y2(x) as follows:
y2(x) = y1(x) + Δx f(x1, y1)
y2(x) = y1(x) + Δx (2x1 l y1)
y2(x) = 0 + Δx (2 × 1 × l0)
y2(x) = Δx(0) = 0
Thus, y2(x) = 0
Similarly, we can calculate y3(x) as follows:
y3(x) = y2(x) + Δx f(x2, y2)
y3(x) = y2(x) + Δx (2x2 l y2)
y3(x) = 0 + Δx (2 × 2 × l0)
y3(x) = 0
Thus, y3(x) = 0
Now, we will calculate y4(x) as follows:
y4(x) = y3(x) + Δx f(x3, y3)
y4(x) = y3(x) + Δx (2x3 l y3)
y4(x) = 0 + Δx (2 × 3 × l0)
y4(x) = 0

Thus, y4(x) = 0

Comparing the results of the Euler's method with the exact solution y = e^(x^2), we see that the approximated solutions y1(x), y2(x), y3(x), and y4(x) are all zero while the exact solution is y = e^(x^2).

Therefore, the Euler’s method is not effective for solving the given initial value problem as the approximated solutions obtained using the method do not match with the exact solution.

Hence, the exact solution of the given initial value problem is y = e^(x^2).

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Answer:

Based on the graph, we can see that the graphs of f(x) and g(x) intersect at some value of x, which is the solution for f(x) = g(x). From the given options, the only approximate solution that seems to match with the graph is X = 1.

We can see that the point where the two graphs intersect is somewhere between x = 0 and x = 1, and X = 1 is the closest approximate solution to the intersection point. Therefore, X = 1 is the approximate solution for f(x) = g(x) based on the given graph.

Step-by-step explanation:

please follow me for more if you need any help

Answer:

81

Step-by-step explanation:

Any number, wether it is negative or postive, will always be postive when there is a even exponent.

In this case, we have a -9, and a exponent thats 2.

Since 2 is a even number, -9^2 will be a postive value.

Now, what is the actual value of this?

Well, a exponent of 2 basiclly means 2 numbers being multiplied together.

Or in this case, 2 negative 9s being multiplied together.

THis will be:

-9*-9

=

As I said above, a even exponent makes a negative number postive.

You see here that a negative 9 is being multiplied by -9. When two negative numbers multiply together, they make a postive.

THis is why a even exponent makes a postive.

Hope this helps!

Answer:

Slope=2

y-intercept=(-2)

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

Answer:

The y-intercept is -2 and the slope is 2.

Step-by-step explanation:

rise over run lol

Answer:

D

Step-by-step explanation:

60% of 50 equals 30

30% of 50 equals 15

15% of 50 equals 7.5

7.5% of 50 equals 3.75

3.75% of 50 equals 1.875

Answer:

a square angle

Step-by-step explanation:

because its a square agnle me barin is right :>

Answer:

1. Police station & mall

2. City hall & market

3. Church & park

4. Hospital & school

5. Park & city hall

6. Church & market

7. Police station & hospital

8. School & mall

9. City hall & mall

10. Church & hospital

See the image below for an illustration of each angle type.

Hope this helps!

Answer: -15

Step-by-step explanation:

200

-215

-  15

Hope this helped

Which one of the following is NOT equivalent to 3/4?

16/24 = 2/3

15/20 = 3/4

6/8 = 2/3

24/32 = 3/4

Answer: 16/24 and 24/32 are not equivalent to 3/4

Step-by-step explanation:

Equivalent fractions represent the same value, even though they look different.

Here, when we convert every fraction to its simplest form, we can verify if they are equal.

(16/24) ÷ (8/8) = 2/3

(15/20) ÷ (5/5) = 3/4

(6/8) ÷ (2/2) = 3/4

(24/32) ÷ (4/4) = 6/7

As the simplest forms of 16/24 and 24/32 are not 3/4, they are not equivalent fractions of 3/4.

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Answer:

Step-by-step explanation: