Create a budget that will allow you to save at least $100 by the end of October.
Remember, your old budget reflected a net income of $1850.00 and included these expenses:
$600 for your rent
$475 for your car payment, car insurance, and gas
$230 for your utilities, phone, and Internet
$300 for your groceries
$50 for your entertainment
$20 for your renters insurance
$75 for discretionary spending
A final net total of $100 saved per month

Creating a New Budget to Meet Your Saving and Spending Needs


Your new budget needs to include these changes:
A new line to budget $50 per month toward a new computer
Other expenses may be modified as you choose.
A final net total of at least $300 saved per month

Answers

Answer 1

According to the updated budget, the net income should be at least $2100.

A budget is an estimated strategy for a certain timeframe, mostly one year. Additionally, projected material amounts, expenditures, liabilities, holdings, responsibilities, and working capital may be included.

The following list explains why the figures shown above are accurate:

The factors for the costs in the previous budget are;

Net income =$1,850.00

Cost of rent =$600

Gas, vehicle payment, and insurance together = $475.

Cost of phone, online world, and utility companies = $230.

Cost of grocery stores= $300

Cost of amusement= $50

Cost of homeowners insurance = $20.

$75 has been set aside for recreational expenditures.

Net monthly savings = $100.

Modifications to the spending plan:

$50 is the allotted sum for a computer system.

Monthly net savings = $300

∴Savings increases= $300-$100=$200

Previous net income+ cost of computer system+ 200(extra savings than previous)

= $(1850+50+200)

=$2100

So,Net earnings = $2,100

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Related Questions

The function f(x)= –StartRoot negative x EndRoot is shown on the graph.

Answers

The range of the required function f(x)  = -√-x is all real values less than or equal to 0.

The nature of the function is imaginary because of the negative sign present inside the root. Hence the range of the function exists only and only if the function gives real  values in each of its outcomes.

What are functions?

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is independent variable while Y is dependent variable.

As per question
f(x) = -√-x
clearly, for each positive real number the function becomes imaginary.
So the domain of the given function lies  (-∞, 0).
and for every x in its domain function has its exists in range of all real values less than and equal to zero.

Thus, the range of the function f(x) ≤ 0.

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I need it now!!! pls​

Answers

Answer:

To answer 5)

First we know that...

[tex]\frac{235}{360}[/tex] of the circle = 94 people

To find total people=

[tex]\frac{235}{360}[/tex]×x=94

x=144 people

To find the number of hokey players: 360-(235+90) =35

so, [tex]\frac{35}{360}[/tex]×144=14

So, 14 people are chose hockey

[tex] \bold{(10x - 6x³ + 8x²) - (5x² + 12x³ - 4)​}[/tex]​

Answers

Answer:

[tex]\boxed{\sf -18x^3+3x^2+10x+4}[/tex]

Explanation:

[tex]\rightarrow \sf (10x - 6x^3 + 8x^2) - (5x^2 + 12x^3 - 4)[/tex]

distribute

[tex]\rightarrow \sf 10x - 6x^3 + 8x^2 - 5x^2 - 12x^3 + 4[/tex]

collect terms

[tex]\rightarrow \sf -6x^3-12x^3+3x^2+10x+4[/tex]

add similar terms

[tex]\rightarrow \sf -18x^3+3x^2+10x+4[/tex]

Answer:

[tex]-18x^3+3x^2+10x+4[/tex]

Step-by-step explanation:

Given:

[tex](10x-6x^3+8x^2)-(5x^2+12x^3-4)[/tex]

Apply the rule (a) = a:

[tex]\implies 10x-6x^3+8x^2-(5x^2+12x^3-4)[/tex]

[tex]\textsf{Use the distributive law} \quad -(a+b)=-a-b:[/tex]

[tex]\implies 10x-6x^3+8x^2-5x^2-12x^3-(-4)[/tex]

Apply the rule -(-a) = a:

[tex]\implies 10x-6x^3+8x^2-5x^2-12x^3+4[/tex]

Collect like terms:

[tex]\implies -6x^3-12x^3+8x^2-5x^2+10x+4[/tex]

Combine like terms:

[tex]\implies -18x^3+3x^2+10x+4[/tex]

A soccer field (football pitch) has a length of 101.0 m and a
width of 70.2 m. Find the total area of the field in square
meters (m²) and convert this measurement to square yards
(yd2). Use the fact that 1 yard = 0.9144 m. Round your answer
to the nearest whole number.

Answers

Answer:

7754

Step-by-step explanation:

give brainiest, please. <3

Answer:

about 7,754 m

Step-by-step explanation:

101 * 70.2 = 7,090.2

7,090.2/0.9144 = 7,753.9

Task
On April 15, 1912, the Titanic struck an iceberg and rapidly sank with
only 710 of her 2,204 passengers and crew surviving. Data on survival
of passengers are summarized in the table below. (Data source:
http://www.encyclopedia-titanica.org/titanic-statistics.html)
a.
First class passengers
Second class passengers
Third class passengers
Total passengers
Survived
201
118
181
500
Did not survive
123
166
528
817
Total
324
284
709
1317
a. Calculate the following probabilities round your answers to three decimal points
i. If one of the passengers is randomly selected what is the probability that this passenger survived
iii. If one of the passengers is randomly selected what is the probability that this passenger was in first class and survived
iv. If one of the passengers is randomly selected from the first class passengers what is the probability that this passenger survived
v. If one of the passengers who survived is randomly selected what is the probability that this passenger was in first class
vi. If one of the passengers who survived is randomly selected what is the probability that this passenger was in third class?

Answers

The probability that a random passenger survived is 0.38

The probability that this passenger was in first class and survived is 0.153

The probability that the passenger in the first class survived is 0.620

The probability that the passenger that survived was in first class is 0.402

The probability that the passenger that survived was in third class is 0.362

What are the probabilities ?

The probability that a random passenger survived is 500 / 1317 = 0.38

The probability that this passenger was in first class and survived is 201 / 1317 = 0.153

The probability that the passenger in the first class survived is:  201 /324 = 0.620

The probability that the passenger that survived was in first class: 201/500 = 0.402

The probability that the passenger that survived was in third class is: 181 / 500 = 0.362

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Which of these is the algebraic expression for the verbal expression "twelve times the difference of a number and four?"

12 ⋅ x − 4
x − 4 ⋅ 12
4(x − 12)
12(x − 4)

Answers

Answer:

[tex]12(x - 4)[/tex]

Step-by-step explanation:

The question says, "twelve times the difference of a number and four"

Let's start with the first number, which is twelve = 12. Moving on, we have times = ×, then the difference which is minus(-). A number is unknown, any aphabet can be used to represent the number, so, we represent with 'x', and then four = 4.

Arranging them, we have:

[tex]12 \times x - 4[/tex]

in algebraic equations, times is always represented by bracket. Therefore, our final answer is:

[tex]12(x - 4)[/tex]

I hope this helps.


the answer to this question

Answers

From indices : when you have a fraction like 3⁶/5

we can also write it as (5√3)^6

and we were given (c√a )^b

meaning that anywhere the letters are, we put them as the numbers there.

therefore: a = 3 , b = 6 , c = 5

Hope this helps and you understood it.

you're super free to ask any more questions eh.

Good luck ✅.

Alana, Brianna and Carla divided $171 between them in the ratio 4 colon 7 colon 8. How much did Brianna receive?

Answers

Answer:

$63

Step-by-step explanation:

Alana has 4 units of the $171.

Brianna has 7 units of the $171.

Carla has 8 units of the $171.

Total units = 4 + 7 + 8 = 19

19 units = $171

1 unit  [tex]\frac{171}{19} \\= $9[/tex]

Brianna has 7 units, so she receives 7 x $9 = $63.

Calcular la edades actuales de una madre y sus dos hijos sabiendo que hace 14 años la dad de la madre era 5
veces la suma de las edades de los hijos en aquel momento, que dentro de 10 madre será la suma de las edades
que los hijos tendrán en ese momento y que cuando el hijo mayor tenga la edad actual de la madre, el hijo
menor tendrá 42 años.

Answers

The present age of mother and her daughter respectively are; 40 and 10 years respectively.

How to Solve Algebra Word Problems?

Let x and y be the present age of mother and her daughter respectively.

Therefore;

x + y = 50

x = 50 − y     .....(1)

After 20 years, mother's age will be twice her daughter's age at the time. Thus;

x + 20 = 2(y + 20)

x − 2y = 20     .....(2)

Plugging eq 1 into eq 2 gives us;

50 − y − 2y = 20

3y = 30

y = 10

Thus;

x = 50 − 10

x = 40

Thus, the present age of mother and her daughter is 40 and 10 years respectively.

Translation of the question into English is;

The sum of the present ages of mother and her daughter is 50 years. After 20 years, mother's age will be twice her daughter's age at the time. Find their present ages.

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What is the area of a circle with 20cm diameter

Answers

Well that's a 10cm radius and the formula for area of a circle is A= 3.14•R(squared). So to plug that in, that would be 3.14 • 10 squared or 3.14 • 100. 3.14•100=314

Answer:

area of the circle

area=7.54

its about efficiency in systems

Answers

.......................

Which of the following describes the behavior of the graph shown over the interval (-2,2)?

Answers

Hello!

We are trying to describe the behavior of the graph given in the question.

To help us understand how to solve this question, we would need to understand concavity.

There are two types of concavity:

Concave upConcave down

When a graph is concave up, the slope of the line would look like a "U".

When a graph is concave down, the slope of the line would look like a "U" that is flipped upside down.

In this case, we can see that the graph is concave down.

We can tell that the slope is negative due to the fact that the slope is going down, which results in the graph having a negative slope.

We can also tell that the graph is decreasing due to the fact that the line is doing downward.

Answer:

C). negative and decreasing

What are the possible values of xin 8x² + 4x=-1? ​

Answers

Answer:

hey

Step-by-step explanation:

4

Answer:

(-½,0)

Step-by-step explanation:

please mark me brainliest

What is the product of (2x - 1) (x + 4)

Answers

Answer: 2[tex]x^{2}[/tex]+7x-4

Step-by-step explanation:

Product implies multiplication so just multiply it out.

(2x-1) (x+4)

2x^2+8x-1x-4  (Combine like terms)

2x^2+7x-4

Which expression is equivalent to √48x5, if x> 0?
A. 12x³√3x
B. 4x³√3
C. 4x²√3x
D. 12x²√

Answers

Answer:

C. 4x²√(3x)

Step-by-step explanation:

if x > 0

[tex]\sqrt{48x^{5}} =\sqrt{48} \times \sqrt{x^{5}}[/tex]

          [tex]=\sqrt{16\times 3} \times \sqrt{x^{4}\times x}[/tex]

          [tex]=\sqrt{16} \times \sqrt{3} \times \sqrt{x^{4}} \times \sqrt{x}[/tex]

          [tex]=4\times \sqrt{3} \times \sqrt{\left( x^{2}\right)^{2} } \times \sqrt{x}[/tex]

          [tex]=4\times \sqrt{3} \times x^{2}\times \sqrt{x}[/tex]

          [tex]=4\times x^{2} \times \sqrt{3} \times \sqrt{x}[/tex]

          [tex]=4\times x^{2}\times \sqrt{3x}[/tex]

Bayes' rule combines accuracy, false positives, and _____ to determine the probability of a result.

Answers

The blank space in the task content should be filled with; false negatives.

What is Baye's rule?

Baye's theorem can be used to correct measurement errors provided the real probabilities, the chance of a false positive and the chance of a false negative is known.

Hence, it follows from the methodology above that the Baye's rule combines accuracy, false positives and false negatives in a bid to determine the probability of a result.

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4
Which are correct representations of the inequality 6x ≥ 3 + 4(2x - 1)? Select three options.
01 ≥ 2x
O
O
6x ≥ 3 + 8x - 4
-1.5
-1.5
0- -1.5
-1
-1
-1
-0.5
-0.5
-0.5
0
0
0
0.5
0.5
0.5
1
1
1.5
1.5
1.5

Answers

Answer:

6x > 3+4(2x -1)

6x > 3+ 8x - 4

6x > (-1) + 8x

6x - 6x > (-1) + 8x - 6x

subtracting 6x from both sides

0 > 2x - 1

adding +1 on both sides

1 > 2x

1/2 > x

x < 1/2

The correct representations of the inequality 6x ≥ 3 + 4(2x - 1) is,

⇒ x ≤ 1/2

What is mean by Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

The inequality is,

⇒ 6x ≥ 3 + 4(2x - 1)

Now, We can simplify as;

⇒ 6x ≥ 3 + 4(2x - 1)

⇒ 6x ≥ 3 + 8x - 4

⇒ 6x ≥ 8x - 1

⇒ 1 ≥ 8x - 6x

⇒ 1 ≥ 2x

⇒ x ≤ 1/2

Thus, The correct representations of the inequality 6x ≥ 3 + 4(2x - 1) is,

⇒ x ≤ 1/2

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Use the grouping method to factor this polynomial completely.
4x³ + 8x²+3x+6
O A. (4x2 + 2)(x+3)
OB. (4x2+2)(x+2)
O C. (4x²+3)(x+3)
D. (4x² + 3)(x + 2)

Answers

Answer:

D.  [tex](4x^2 + 3)(x + 2)[/tex]

Step-by-step explanation:

Hello!

We can group the first two terms and the last two terms and factor each group.

Factor by Grouping[tex]4x^3 + 8x^2 + 3x + 6[/tex][tex](4x^3 + 8x^2) + (3x + 6)[/tex][tex]4x^2(x + 2) + 3(x + 2)[/tex]

Now we can combine the like factors:

[tex](4x^2 + 3)(x + 2)[/tex]

The answer is Option D.

In the diagram below, all the measurements are given correct to the nearest cm.
Not drawn
to scale
28 cm
15 cm
21 cm
42 cm
Calculate the greatest possible area of the shaded region.
+
P

Answers

Answer: 462 square cm

Step-by-step explanation:

The area of the shaded region is the difference between the areas of the two rectangles.

Larger Rectangle: (42)(21)

Smaller Rectangle: (28)(15)

Area of shaded: (42)(21)-(28)(15)=462 square cm

The short leg of a 90-45-45 triangle is 3 and the long leg is 7. What is the hypotenuse?

Answers

The short leg of a 90-45-45 triangle is 3 and the long leg is 7. The hypotenuse would be [tex]c = \sqrt{58}[/tex].

What is the Pythagoras theorem?

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

The short leg of a 90-45-45 triangle is 3 and the long leg is 7.

Since this is a right triangle, we can use the Pythagoras theorem

a^2+b^2 = c^2  

where a and b are the legs and c is the hypotenuse

[tex]3^2 + 7^2 = c^2\\\\9 + 49 = c^2\\\\58 = c^2\\\\c = \sqrt{58}[/tex]

Hence, The hypotenuse would be [tex]c = \sqrt{58}[/tex].

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Answer please! I need this!

Answers

Step-by-step explanation:

The top has been multiplied by 5 so multiply the bottom by 5, 2 x 5 = 10. also why is there a pig lol

What happened in this situation?

........................................................................................................

(Maya raises her hand)
Ms. Teacher: Yes, Maya?
Maya: Someone passed gas.
(Another student, Nylo, begins silently laughing)
(Another student, Lia, notices Nylo laughing)
Lia: it was Nylo.
(the entire class begins laughing, except for Maya)

...............................................................................................

Why did Lia think it was Nylo and expose them? And why didn't Maya laugh?

Answers

Answer:

It's because Maya friend did not pass gas

Which of the following is a sum of cubes?

Answers

Answer:

x^3 + 8y^6

Step-by-step explanation:

Answer:

the answer is B !!!

Step-by-step explanation:

thank me later lol

Which of the following is the center and radius of the circle?

x2 + y2 + 4x – 14y + 46 = 0

Center (2, –7); r = 7
Center (–4, 14); r equals square root 46
Center (4, –14); r = 46
Center (–2, 7); r equals square root 7

Answers

The centre of the circle is (-2,7) and the radius is √7 ,  Option D is the right answer.

What is the standard equation of a Circle ?

The standard equation of a Circle is

(x-h)² +(y-k)² = r²

where h and k is the centre of the circle , r is the radius

The given equation is

x² + y² + 4x – 14y + 46 = 0

x² +4x +4 -4 +y² -2.7y + 49-49+46 = 0

(x + 2)² + (y-7)² -4-49+46 = 0

(x + 2)² + (y-7)²= 7

Therefore the centre of the circle is (-2,7) and the radius is √7 ,

Therefore Option D is the right answer.

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NEED THIS DONE ASAP!! Thank you!!​

Answers

For the bottom question, I believe the measure of arc RB is 150°.

• External point D (vertex outside of the circle) creates two secant segments (DR and DB).
• Using the exterior angle theorem: angleD= (1/2) RB - EC. This becomes 5x-10 = (13x+7-60°)/2.

• Now solve for x
multiply both sides by 2
10x-20=13x+7-60°
Add/subtract like terms to isolate variable on one side
60° = 3x+27
Subtract 27 from both sides
33=3x
divide both sides by 3 to get variable x alone, and: 11 = x.

• x = 11.

• Plug this x value back into the expression representing arc RB
13(11)+7 = 150.

• mRB=150°.


• check: 5(11)-10=45°. Plug all known values into the exterior angle theorem to see if true; 45° = (1/2)*(150° - 60°)
45°=45°
[true]

Answer:

150°

Step-by-step explanation:

A secant is a straight line that intersects a circle at two points.

The circle shows two secants RD and BD that intersect at one exterior point D, so we can use the Intersecting Secants Theorem to solve.

Intersecting Secants Theorem

If two secant segments are drawn to the circle from one exterior point, the measure of the angle formed by the two lines is half of the (positive) difference of the measures of the intercepted arcs.

[tex]\implies \angle RDB = \dfrac{1}{2}\left(\overset{\frown}{RB}-\overset{\frown}{EC}\right)[/tex]

[tex]\implies 5x-10=\dfrac{1}{2}(13x+7-60^{\circ})[/tex]

[tex]\implies 2(5x-10)=13x-53[/tex]

[tex]\implies 10x-20=13x-53[/tex]

[tex]\implies -3x=-33[/tex]

[tex]\implies x=11[/tex]

To find the measure of [tex]\overset{\frown}{RB}[/tex], substitute the found value of x into the expression for the arc:

[tex]\implies \overset{\frown}{RB}=13x+7[/tex]

[tex]\implies \overset{\frown}{RB}=13(11)+7[/tex]

[tex]\implies \overset{\frown}{RB}=143+7[/tex]

[tex]\implies \overset{\frown}{RB}=150^{\circ}[/tex]

Therefore, the measure of arc RB is 150°.

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Which of the following is correct based on this picture?

Answers

B. none of these are correct

In basketball, hang time is the time that both of your feet are off the ground during a jump. The equation for hang time is t = 2 (StartFraction 2 h Over 32 EndFraction) Superscript one-half , where t is the time in seconds, and h is the height of the jump, in feet.

Player 1 had a hang time of 0.9 s. Player 2 had a hang time of 0.8 s. To the nearest inch, how much higher did Player 1 jump than Player 2?

Answers

Considering the hang time equation, it is found that Player 1 jumped 0.68 feet higher than Player 2.

What is the hang time equation?

The hang-time of the ball for a player of jump h is given by:

[tex]t = 2\left(\frac{2h}{32}\right)^{\frac{1}{2}}[/tex]

The expression can be simplified as:

[tex]t = 2\sqrt{\frac{h}{16}}[/tex]

For a player that has a hang time of 0.9s, the jump is found as follows:

[tex]0.9 = 2\sqrt{\frac{h}{16}}[/tex]

[tex]\sqrt{\frac{h}{16}} = \frac{0.9}{2}[/tex]

[tex](\sqrt{\frac{h}{16}})^2 = \left(\frac{0.9}{2}\right)^2[/tex]

[tex]h = 16\left(\frac{0.9}{2}\right)^2[/tex]

h = 3.24 feet.

For a player that has a hang time of 0.8s, the jump is found as follows:

[tex]0.8 = 2\sqrt{\frac{h}{16}}[/tex]

[tex]\sqrt{\frac{h}{16}} = \frac{0.8}{2}[/tex]

[tex](\sqrt{\frac{h}{16}})^2 = \left(\frac{0.8}{2}\right)^2[/tex]

[tex]h = 16\left(\frac{0.8}{2}\right)^2[/tex]

h = 2.56 feet.

The difference is given by:

3.24 - 2.56 = 0.68 feet.

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Who got geometry regents answer key June 2022

Answers

Answer:

nobody yet

Step-by-step explanation:

Answer:

No one.

Step-by-step explanation:

The New York State Education Department has canceled the June 1, 2022, administration of the Regents Examination in U.S. History & Government (Framework). NYSED Commissioner Betty A.


Solve 4|x + 6| = 16

Answers

Answer:

-10 and -2

Step-by-step explanation:

First, divide both sides by 4 to get |x+6| = 4
Then, Take the absolute vaule on both sides
x+6= 4 or -4
So, x could be 2 vaules
Your welcome!

4 | x + 6 | = 16

Divide both sides by 4.

[tex]\bf{\dfrac{4|x+6|}{4}=\dfrac{16}{4} }[/tex]

[tex]\bf{|x+6|=4 }[/tex]

Absolute value is solved.

[tex]\bf{|x+6|=4 }[/tex]

We know either x + 6 = 4 or x + 6 = -4.

                                                                       

x + 6 = 4 (Possibility 1)

x + 6 - 6 = 4 - 6 (Subtract 6 from both sides)

x=−2

                                                                       

x + 6 = -4 (Possibility 2)

x + 6 - 6 = -4 - 6 (Subtract 6 from both sides)

x=-10

Solution:

x=−2 or x=−10

[tex]\red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]

function F(x)=x+1 and g(x)=5x+1 find the f(4)=g(x+1)

Answers

The function of f(4) = g(x+1) gives the value of x that is -1/5.

What is the function addition?

It is the addition of two functions similar to the addition of any two polynomial functions.

Given;

F(x)=x+1

g(x)=5x+1

We need to find f(4)=g(x+1)

First substitute x = 4 in f(x)

F(x)=x+1

F(4) = 4 + 1

F(4) =  5

Now substitute x = x + 1 in g(x)

g(x)=5x+1

g(x + 1) = 5(x + 1) + 1

g(x + 1) = 5(x + 1) + 1

g(x + 1) = 5x + 5 + 1

g(x + 1) = 5x + 6

Then ,

F(4) = g(x + 1)

5 = 5x + 6

5x = 5 - 6

5x = -1

x = -1/5.

The function of f(4) = g(x+1) gives the value of x that is -1/5.

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If x is increased by 25% then, by what % is x increased the hemiacetal below is treated with 18o-labeled methanol (ch3o*h) and acid. where will the label appear in the products? If 2 inches is 5 centimeters, which of following is correct? The cost of the toy is expressed by the function y = 3x + 5, where x is the number of toys. If Peter bought 8 toys, find the cost of the toys. State the title, artist, and movement of the work. Then, answer both of these questions to guide your reflection: 1. What is your personal response to the work? In answering this question, discuss how the work the work create that effect on you. you and what specific discuss a few of the typical elements of the specific 2. Do you think this work fits well in the movement or not? In movement and explain how the work does or does not fit. How does a motor neuron work when a mosquito is seen on an arm? it receives stimuli information from the skin and sends it to the brain where it is processed. it receives processed information from the brain, causing the muscles of the arm and hands to remove the mosquito from the arm. it processes information from the stimuli receiver and makes the brain aware that there is a mosquito on the arm. it makes the arm numb from the effect of the mosquito bite. cells were first discovered when a scientist named _____________ observed cell walls in cork under a microscope PLEASE ANSWER ASAP!!!!!!The function f(x)=6sin(7/3x+1/6)5 models the average rate of change in temperature of a substance monitored in an experiment. In the function, x represents the number of minutes since the commencement of the experiment and the temperature of the substance is measured in degrees Fahrenheit.Over what range of temperatures does the average rate of change in temperature fall?Enter a value in each box to correctly complete the statement.The range in the average rate of change in temperature of the substance is from a lowtemperature of ____ F to a high of ________ F Specialized periodicals in which scientists publish the results of their works are called Mr. Sanchezs class sold fruit pies for $1.73 each and Mr. Kellys class sold bottles of fruit juice for $1.44 each. Together, the classes sold 83 items and earned $130.83 for their school. Write and solve a system of equations that models this problem. Show all your work. The civil rights act of 1866 was significant because? I need the awnser to this if possible Which statement about generic disease is trueABC PLEASE HELP ME, I BEG OF YOU TO HAVE MERCY ON MY POOR SOUL1. Calculate the slope of the trend line. (Choose two points on the line and find vertical change over horizontal change.)2. Using the slope and y-intercept, write the equation of the trend line (y = mx + b).3. Choose a "calories from fat" value that is not in your collected data set and that is at least 10 fat calories away from any collected value. Use the equation calculated in step to predict the number of fat grams in an item having that number of fat calories. Be sure to show your work.4. Search for an item in a fast food menu having the same number of fat calories as the one you chose above. (If you cannot find the exact value, get as close as you can.) Compare the calculated value from step VI to this actual value. Explain why (or why not) you would have expected your prediction (calculated value) to be close to the actual value. 1. With which group does Aristotle say political power is bestlocated? (10.1.2)A. the richB. the middle classC. the poorD. the oligarchy What is group behavior Two buses leave a station at the same time and travel in opposite directions. One bus travels12m/hrslower than the other. If the two buses are 765 miles apart after 6 hours, what is the rate of each bus? (1 point)Let S be the part of the plane 2x+2y+z= 1 which lies in the first octant, oriented upward. Find the flux of the vector fieldF = 2i+2j + 2k across the surface S. There is a swimming pool which has a length of 15 m and a width of 12 m. There is a 2 m wide path around the pool. If the cost of the path is $5 per , what is the cost of the path? Use words, numbers, and/or symbols to justify your answer. Select the correct answer from each drop-down menu. Consider this system of equations: (equation A) (equation B) The solution for the system of equations is . The first step to improving your time management skills is to: