Mathematics Middle School

If g (n)n-2, then what is the value of g(10)?

Answers

Answer 1

if g(n) n -2, then g(10) 10 -2

g(10) will equal 8

hope this helps

Answer 2

g(10)=8
hope this helps you

Related Questions

What is the equivalent decimal to 1/2?

Answers

0.5 is the decimal equivalent to 1/2

To find the decimal equivalent of a fraction, simply divide the numerator by the denominator. The numerator is the top part of the fraction, while the denominator is the bottom part of the fraction. Divide 1 by 2 and you should receive a decimal.

1 ÷ 2 = 0.5

As a result, the decimal equivalent of [tex] \frac{1}{2} [/tex] is 0.5.

Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair relating number of gallons of gas, x, to the total cost of the gas, y, includes the greatest amount of gas Berto can buy?

Answers

Berto can purchase 12/3.75 gallons, this is 3.2 gallons of gas. So the coordinate on this line would be (3.2, 12).
Good Luck! :D

Answer:

The required ordered pair is (3.2,12).

Step-by-step explanation:

Let the x be the relating number of gallons of gas and y be the total cost of the gas.

It is given that the cost of gas is $3.75 per gallon. Total cost of x gallons is

[tex]y=3.75x[/tex]

Berto has $12 to put gas in his car.

[tex]y\leq 12[/tex]

[tex]3.75x \leq 12[/tex]

Divide both sides by 3.75.

[tex]x \leq 3.2[/tex]

The maximum number of gallons of gas is 3.2 and the total cost of the gas is 12.

Therefore the required ordered pair is (3.2,12).

Rodrigo researched the number of pets owned in the U.S. and displayed his results in the bar graph shown. in his research, he found that $7,737.6 million was spent on annually on veterinary visits for the dogs and $5,913 million was spent annually on visits for cats. How much more was spent, on average, by each person for dogs than cats?

Answers

Hello! I can help you with this question! 1,000 millions is equivalent to 1 billion. Therefore, $7,737,600,000 was spend on vet visits for dogs annually. As for cats, $5,913,000,000 were spent on them annually. Divide the price spent on dogs, buy the number of people (31,200,000), and your quotient should be 248. So that’s $240 dollars per person on dogs. For cats, do the same steps. Divide price spent by people (27,000,000), and your quotient should be 219. So that’s $219 dollars per person in cats. Now, you just subtract both prices per person. 240 - 219 = 21. Each person spent $21 more on average for dogs than cats.

Answer:

$29 million is spent more by each person for dogs than cats.

Step-by-step explanation:

Amount spent on visits for the dogs = $7,737.6 millions.

Number of dogs owned = 31.2 millions (by bar graph)

∴ On average amount spent on each person = [tex]\frac{7,737.6}{31.2} = $248 millions [/tex]

Amount spent on visits for the cats = $7,737.6 millions.

Number of cats owned = 27 millions (by bar graph)

∴ On average amount spent on each person = [tex]\frac{5913}{27} = $219 millions [/tex]

Thus, on average, by each person amount spent for dogs than cats = $248 millions - $219 millions = $29 millions.

Write 28 as a product of its prime factors write the factors in order, from smallest to largest

Answers

28 = 2 x 2 x 7

2 x 2 = 4

4 x 7 = 28

hope this helps

Final answer:

To express 28 as a product of its prime factors, you would write [tex]28 = 2^2 \times 7[/tex], where 2*2 represents 2 multiplied by itself and 7 is a prime number.

Explanation:

To write 28 as a product of its prime factors, we begin by finding the smallest prime number that divides 28. Since 28 is an even number, we know it's divisible by 2. So we start with 2 and keep dividing:

28 ÷ 2 = 14

14 ÷ 2 = 7

Now, 7 is a prime number and cannot be divided further except by 1 and itself. So, we end up with:

28 = 2 × 2 × 7

We can also express this using exponents:

28 = 2² × 7

These are the prime factors of 28, written in order from smallest to largest.

A triangle has one angle measuring 3X degrees the second angle measures 2X +20° and the third angle measures 4X -20° what is the value of X

Answers

The sum of all 3 interior angles in a triangle is 180°.

so 3x+(2x+20)+(4x-20)=180
9x+20-20=180
9x=180
x=180/9
x=20

Answer:

[tex]x=20[/tex]

Step-by-step explanation:

We have been a triangle has one angle measuring [tex]3x[/tex] degrees the second angle measures [tex]2x+20[/tex] degrees and the third angle measures [tex]4x-20[/tex] degrees. We are asked to find the value of x.

We know that all interior angles of a triangle add up-to 180 degrees.

[tex]3x+2x+20+4x-20=180[/tex]

Combine like terms:

[tex]3x+2x+4x-20+20=180[/tex]

[tex]9x=180[/tex]

Divide both sides by 9:

[tex]\frac{9x}{9}=\frac{180}{9}[/tex]

[tex]x=20[/tex]

Therefore, the value of x is 20 for our given triangle.

number 8 d+3n=1 solve for n

Answers

n=1-d over 3 (1-d)/3

The main cable of a suspension bridge forms a parabola, described by the equation y = a(x - h)2 + k, where y is the height in feet of the cable above the roadway, x is the horizontal distance in feet from the left bridge support, a is a constant, and (h, k) is the vertex of the parabola. At a horizontal distance of 30 ft, the cable is 15 ft above the roadway. The lowest point of the cable is 6ft above the roadway and is a horizontal distance of 90 ft from the left bridge support.Which quadratic equation models the situation correctly?
The main cable attaches to the left bridge support at a height of ft.
The main cable attaches to the right bridge support at the same height as it attaches to the left bridge support. What is the distance between the supports?

Answers

Answer:

26.25 ft.

Step-by-step explanation:

The general form of a parabola is [tex]y = a(x - h)^2 + k[/tex], where the vertex of the parabola is (h,k).

The equation of the parabola is [tex]y = 0.0025(x - 90)^2 + 6[/tex].The distance between the supports at a vertical height of 26.25 is 180ft

Given that

[tex]y = a(x - h)^2 + k[/tex]

A. The quadratic equation

The lowest point (which stands for the vertex) is given as:

[tex](h,k) = (90,6)[/tex]

So, we have:

[tex]y = a(x - 90)^2 + 6[/tex]

From the question, we understand that:

At a horizontal distance of 30ft, the cable is at 15ft. This means:

[tex](x,y) = (30,15)[/tex]

Substitute these values in: [tex]y = a(x - 90)^2 + 6[/tex]

So, we have:

[tex]15 = a(30 - 90)^2 + 6[/tex]

[tex]15 = a(- 60)^2 + 6[/tex]

[tex]15 = a \times 3600 + 6[/tex]

Collect like terms

[tex]3600a = 15 - 6[/tex]

[tex]3600a = 9[/tex]

Make a, the subject

[tex]a = \frac{9}{3600}[/tex]

[tex]a = 0.0025[/tex]

Substitute [tex]a = 0.0025[/tex] in [tex]y = a(x - 90)^2 + 6[/tex].

[tex]y = 0.0025(x - 90)^2 + 6[/tex]

B. The horizontal distance at a height of 26.25ft.

This means that, y = 26.25

So, we have:

[tex]26.25 = 0.0025(x - 90)^2 + 6[/tex]

Collect like terms

[tex]-6 + 26.25 = 0.0025(x - 90)^2[/tex]

[tex]20.25= 0.0025(x - 90)^2[/tex]

Divide both sides by 0.0025

[tex]8100 = (x - 90)^2[/tex]

Take square roots of both sides

[tex]\±90 = x - 90[/tex]

Solve for x

[tex]x = 90 \± 90[/tex]

To the left of the cable, the horizontal distance is:

[tex]x_1 = 90 - 90[/tex]

[tex]x_1 = 0[/tex]

To the right of the cable, the vertical distance is:

[tex]x_2 = 90 + 90[/tex]

[tex]x_2 = 180[/tex]

So, the coordinates of the left and right support at a height of 26.25 is:

(0,26.25) and (180, 26.25)

The distance (d) between them is calculated using:

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

[tex]d = \sqrt{(180- 0)^2 + (26.25-26.25)^2}[/tex]

[tex]d = \sqrt{180^2 + 0^2}[/tex]

[tex]d = \sqrt{180^2}[/tex]

[tex]d = 180[/tex]

The distance between them is 180ft

Read more about equations of parabola at:

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The Johnsons framed a family picture to hang on the wall. The perimeter of the frame is 72 inches. Use the formula p= 2l ÷ 2w to find the length of the frame if the width is 14 inches

Answers

Perimeter of the frame = 72 inches
length of the frame = ?
width of the frame = 14 inches
formula to use is
p = 2l ÷ 2w
now put the values of width and perimeter
72 = 2l ÷ 2(14)
72 = 2l ÷ 28
72 x 28 = 2l
2016 = 2l
l = 2016/ 2
l = 1008 inches
length of the frame is 1008 inches

Solve inequality.
x + 1 > -5(7 - 2x)

Answers

This simplifies down to x<4

X+1>-5(7-2x)
-5(7-2x)
-35+10x

X+1>-35+10x
-9x+1>-35
-9x<-36
X>4

Patio covers 56 square yards find length of a side of patio to nearest tenth of yard

Answers

A square has four equal sides. The area of a square equals
the square of the length of a side
So if the length of a side is s, the area of the square is s^2
We want s^2 = 56
so s = sqrt(56)
you do that on a calculator
s = 7.4833
to nearest tenth, s = 7.5

Final answer:

The length of a side of the patio, rounded to the nearest tenth of a yard, is 7.5 yards.

Explanation:

To find the length of a side of the patio, we need to find the square root of the area. The area of the patio is given as 56 square yards.

To find the length of a side, let's take the square root of 56. The square root of 56 is approximately 7.48.

Therefore, the length of a side of the patio, rounded to the nearest tenth of a yard, is 7.5 yards.

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Using the distributive property, which expression is equal to 7(9 - 5)? 7*9 - 7*5 7*9 + 7*5 7(5 - 9) 7+5 - 7+9

Answers

Answer:

7(9 - 5)

Step-by-step explanation:

63 - 35 = 28

if a doctor prescribes tablets with a strenght of 0.2 mg and 0.6 mg is ordered, how many tablets should the patient take?

Answers

1/3 of the pill, unless the pill shjould be tale 3 times a day

You just divide the amount ordered by the strength because you're looking for how many tablets they should take in order to reach .6 mg, and each tablet is .2 mg. So, it would be three tablets. Hope I helped. :)

3x - 2 (x + 3) = 4x - 7

Answers

The answer: " x = ⅓ " .
____________________________________________________
Given: " 3x − 2 (x + 3) = 4x − 7 " ; Solve for "x" ;
____________________________________________________

Start with the following term on the "left-hand side" of the equation:

" - 2 (x + 3) " ;
____________________________________________________
Note the "distributive property of multiplication" :
____________________________________________________
a(b + c) = ab + ac ;

a(b − c) = ab − ac ;
____________________________________________________
As such,

" -2 (x + 3) = -2(x) + -2(3) = -2x + (-6) = -2x − 6 ;
____________________________________________________
So, we can rewrite our equation:
____________________________________________________
" 3x − 2 (x + 3) = 4x − 7 " ; substituting: " -2x − 6" (for " −2 (x + 3)" ; as follows:
____________________________________________________

3x − 2x − 6 = 4x − 7 ;
___________________________________________________
On the left-hand side off the equation;
________________________________
We can combine the "like terms" ; as follows:

3x − 2x = 1x = x ; and rewrite the equation:
__________________________________
x − 6 = 4x − 7 ;

____________________________________
We can subtract "4x" from each side of the equation; and add "6" to each side of the equation:
____________________________________
x − 6 − 4x + 6 = 4x − 7 − 4x + 6 ;

to get: -3x = -1 ;
____________________________________
Now, we divide EACH SIDE of the equation by "-3" ; to isolate "x" on ONE SIDE OF THE EQUATION; and to solve for "x" ;
____________________________________
-3x / 3 = -1/-3 ;
____________________________________
to get: x = ⅓ .
_____________________________________
→ Now, let us check our answer by plugging in "⅓" for all values of "x" in the ORIGINAL GIVEN EQUATION; to see if the equation holds true:
_____________________________________________________
  →   3x − 2 (x + 3) = 4x − 7 ;

  → [3 * (⅓) ] − 2 [ (⅓) + 3) = ? 4(⅓) − 7 ?? ;

  → (1) − 2(3 ⅓) =? (⁴/₃) − 7 ?? ;

  → (1) − 2(3 ⅓) =? (⁴/₃) − 7 ?? ;

  → (³/₃) − 2(¹⁰/₃) =? (⁴/₃) − (²¹/₃) ?? ;

→ (³/₃) − (²⁰/₃) =? (⁴/₃) − (²¹/₃) ?? ;

→ ⁽³ ⁻²⁰⁾/₃) =? ⁽⁴⁻²¹⁾/₃) ??

→   ⁻¹⁷/₃ = ? ⁻¹⁷/₃ ?? Yes! Our answer "makes sense"!
_____________________________________________________

What's -2x-x+8
?? Thanks

Answers

-2x - x + 8

-3x + 8 is your answer

simplify the expression as much as possible

combine like terms (in this case is the "x" 's)

hope this helps

How many ways can you stack 77 books into equal piles

Answers

You can stack 77 books into 7 piles of 11, or into 11 piles of 7. So in two different ways.

click on the graph until the graph of a line with undefined slope appears

please help! picture is above!

Answers

2, In order to find the slope its rise over run, if the run is 0, we know that anything divided by 0 is undefined.

Hope this helps!

The slope is undefined for figure 2.

In general, when the x-values or x-coordinates is the same for both points, the slope is undefined.

For example, let us try to get the slope for a line passing through the points (1, 3) and (1, 9)

Let x₁ = 1 , y₁ = 9 and x₂ = 1 and y₂ = 3

Slope, m = (y₂ − y₁)/((x₂ − x₁)

m = (3 − 9)/(1 − 1)

m = -6/0, which is undefined.

What is 4 3/4 times 2 1/8 5 simplified? Helppppp

Answers

4 3/4 x 2 1/8 is 8 because you need to you need to make it into a proper fraction

A student solved the following problem and made an error:
Triangles ABC and DEF. Angles A and F are congruent and measure 63 degrees. Coordinates for the vertices are at A 1, 2 and B 1, 4 and C 3, 3 and D 5, 1 and E 3, 2 and F 5, 3.

Line 1 segment AB equals 2, segment FD equals 2, segment AB is congruent to segment FD
Line 2 ∠A ≅ ∠F
Line 3 Length of segment AC.
A (1, 2)
C (3, 3)
d equals square root of quantity x sub 2 minus x sub 1 squared plus quantity y sub 2 minus y sub 1 squared, then d equals square root of quantity 1 minus 3 all squared plus quantity 2 minus 3 all squared, then d equals square root of negative 2 squared plus negative 1 squared, then d equals square root of 4 plus 1, then d equals square root of 5
segment AC = 2.23
Line 4 Length of segment EF.
E (3, 2)
F (5, 3)
d equals square root of quantity x sub 2 minus x sub 1 squared plus quantity y sub 2 minus y sub squared then d equals square root of quantity 3 minus 5 all squared plus quantity 2 minus 3 all squared, then d equals square root of negative 2 squared plus negative 1, then d equals square root of 4 plus 1, then d equals square root of 5
segment EF= 2.23
Line 5 segment AC is congruent to segment FE
Line 6 triangle ABC is congruent to triangle EFDby SAS

In which line did the student make the first mistake?
Line 1
Line 5
Line 6
Line 2

Answers

I think its line 2, could be wrong tho.

The sum of four consecutive odd integers is 176

Answers

x + x + 2 + x + 4 + x + 6 = 176
4x + 12 = 176
- 12 - 12
4x = 164
/4 /4
x = 41

Answer: 41, 43, 45, 47

(If you have any questions I'd be happy to answer them)

The numbers are 41,43,45,47.

Given that,

The sum of four consecutive odd integers is 176.

Based on the above information, the calculation is as follows:

x + x + 2 + x + 4 + x + 6 = 176

4x + 12 = 176

4x = 164

x = 41

So, the four consecutive odd numbers are 41, 43, 45, 47

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Please help! All the questions.

Answers

5) 33-25
6) 33-35
Yes
8)’10

for f(x)=5x+1 find f(x) when x=2 and when x=3

Answers

You need to plug the (x)'s into the problem. So, f(x)= 5(2)+1
10+1
11

f(x)= 5(3)+1
15+1
16

Answer:

f(x)=11 and f(x)=16

Step-by-step explanation:

f(x)=5(2)+1

f(x)=11

f(x)= 5(3)+1

f(x)=16

On Monday two hundred ninety students went on a trip to the zoo.All five buses were filled and only five students had to travel in cars.How many students were in each bus?

Answers

57 student's in each bus

Their were 57 students on each bus

I hope this helps ;)

HELP ME PLEASE!!!!

Construct the perpendicular bisector of each side of the given triangle. What do you observe about these bisectors?

Answers

I don't know a or b

Sara recorded the height of the ocean at low tide, with respect to sea level, for four days.
Time Low Tide (inches)
Monday a.m. −4
Monday p.m. −6
Tuesday a.m. −3
Tuesday p.m. −1
Wednesday a.m. 0
Wednesday p.m. 2
Thursday a.m. −1
Thursday p.m. −3

What is the average height of the ocean at low tide with respect to sea level?

Answers

-2 inches This is a simple average of 8 data points. All you need to do is add the value of all the data points together, then divide the sum by the number of data points. So (â’4 + â’6 + â’3 + â’1 + 0 + 2 + â’1 + â’3) / 8 = -16 / 8 = -2 S

The average height of the ocean is -2.

What is Average?

Average The arithmetic mean is calculated by adding a set of integers, dividing by their count, and then taking the result.

For instance, the result of 30 divided by 6 is 5, which is the average of 2, 3, 3, 5, 7, and 10.

Averages are used to condense a vast number of data points into a single value. It is a visual depiction of all the data set's accessible numbers.

Given data:

Monday a.m.: −4

Monday p.m.: −6

Tuesday a.m.: −3

Tuesday p.m.: −1

Wednesday a.m.: 0

Wednesday p.m.: 2

Thursday a.m.: −1

Thursday p.m.: −3

So, the average height of the ocean at low tide

=(-4 + (-6)+ (-3)+ (-1) + 0+ 2 + (-1) + (-3))/8

= (-18 + 2 ) / 8

= -16 /8

= -2

Hence, the average height of the ocean is -2.

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differentiation. questions 1 and 2

Answers

For 11, we start by plugging 1 in, getting 2(1)^2+1-5=-2=y

Plugging 1+m instead, we get 2(1+m)^2+1+m-5=2(1+2m+m^2)+1+m-5
= 2+4m+2m^2+1+m-5= 2m^2+5m-2. We have to find the difference between that and -2, so 2m^2+5m-2 -(-2)=2m^2+5m

Differentiating 12, we use the Power Rule to get -6x^2+14, and plugging x=1 into it, we get -6(1)^2+14=-6+14=18

A cafeteria sells 30 drinks every 15 minutes.How many drinks would they sell in 1 hour?

Answers

60/15 = 4

4*30

120

HOPE THIS HELPS!

There is 60 minutes in an hour
30/15 = 2

2 drinks in 1 minute

2(60) = 120 drinks in all

hope this helps

The digit with the greatest value 6789

Answers

The digit with the greatest value is 6 because it is in the thousands place.

6*1000=6000
7*100=700
8*10=80
9*1=9

Of these values, 6000 is the largest due to its place value.

Evaluate -2/3 to the 4th power

Answers

the answer is -0.024691358

You get a large ice-cream cone for $2.99 and a bottle of water for $1.07 . You pay with a 10 -dollar bill. How much change will you get back?

Answers

10 - 2.99 = 7.01 and 7.01 - 1.07 = 5.94 so you will get 5.94 in change

The money obtained back after payment is $5.94.

What are arithmetic operations?

The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.

Given that,

The cost of ice-cream is $2.99.

And, the cost of water bottle is $1.07.

The total money paid is $10.

Now, the change that can be got back is obtained by arithmetic operation as follows,

10 - (2.99 + 1.07)

= 10 - 4.06

= 5.94

Hence, the change that is got after the payment is $5.94.

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Which is greater 1/3 or 0.33

Answers

.33 is basically 33/100 and 1/3 would basically be 33/99 so 33/99is greater

The greater number between 1/3 and 0.33 is 1/3

How to determine which fraction is greater

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

1/3 or 0.33

Express them as decimals

So, we have

1/3 = 0.333..

0.33 = 0.33

By comparison

0.333.. is greater than 0.33

This means that the greater number is 1/3