Mathematics College

Simplify the expression:
6x ^ 2 + 7x - 3x ^ 2 - 2x

Answers

Answer 1

Answer:

3x²+5x

Step-by-step explanation:

Related Questions

which is a graph of the equation y = 2x - 4

Answers

The third graphThe graph has a slope of 2and a y-intercept of -4

Answer:

The 3rd one

Step-by-step explanation:

One-third of the candidates for a job were 25 years old or younger. Two-sevenths of the candidates were at least 50 years old. If 84 people applied for the job, how many were between 25 and 50?

Answers

Answer:

1/3 * 84 = 28 were under 25

2/7 * 84 = 24 were at least 50

28 + 24 = 52

84-52 = 32 were between 25 and 50

Step-by-step explanation:

A right triangle has a hypotenuse of 15 cm. What is the length for the missing leg if one of the two legs of the triangle is 5?

Answers

Answer:

The other leg is 12 cm long.

Step-by-step explanation:

where:

is the hypotenuse, and

and

are the other two sides (legs).

Let

9 cm

Rearrange the equation to isolate

. Plug in the values for

and

, and solve.

−

(

15 cm

)

−

(

9 cm

)

Simplify.

225 cm

−

144 cm

Take the square root of both sides.

√

144 cm

Simplify.

12 cm

Answer:

14.14 cm

Step-by-step explanation:

using the Pythagorean theorem:

?² = 15² - 5² = 225 - 25 = 200

? = √200 = 14.14 cm

Find the mean, median and mode of the following data sets.
1. 79, 84, 92, 81, 86, 77, 95, 80, 88, 84
2. 8, 9, 9, 9, 9, 10, 11, 15
3. 16, 23, 18, 30, 32, 34, 8, 19, 21

Answers

Answer:

mean= 84.6

median=84

mode=84

mean=10.14

median=9

mode=9

mean=22.3

median=21

mode=phi

Step-by-step explanation:

mean: the sum of of the quantities by their number

median: the median value after rearranging the values

mode: the value that occurs most frequently

in the second question

mean = (8+9+9+9+9+10+11+15)/8

median(even number) =(9+9)/2=9

mode=9

Answer:

for data set 1

1.mean-84.6

2.median-(84+84)/2 = 84

3.mode-84

for data set 2

1.mean-9.25

2.median-(9+9)/2 = 9

3.mode-9

for data set 3

1.mean-22.3

2.median-21

3.mode-no mode with this data set

hope this helped!!

Find the indicated side of the
right triangle.
60°
х
7
30°
x = [?]
Enter

Answers

Here's the solution,

By using Trigonometry :

=》

[tex] \sin(30) = \dfrac{7}{x} [/tex]

=》

[tex] \dfrac{1}{2} = \dfrac{7}{x} [/tex]

=》

[tex]x = 14[/tex]

hence, the value of x = 14 units

Answer:

Step-by-step explanation:

8. A box is filled with candies in different colors. We have 40 white candies, 24 green ones, 12
red ones, 24 yellow ones and 20 blue ones. If we have selected one candy from the box
without peeking into it, find the probability of getting a green or red candy.

Answers

Answer:

[tex]P(Green\ or\ Red) = 0.30[/tex]

Step-by-step explanation:

Given

[tex]White = 40[/tex]

[tex]Green = 24[/tex]

[tex]Red = 12[/tex]

[tex]Yellow = 24[/tex]

[tex]Blue = 20[/tex]

Required

[tex]P(Green\ or\ Red)[/tex]

The total numbe of candy is:

[tex]Total = 40 + 24 + 12 + 24 + 20[/tex]

[tex]Total = 120[/tex]

This probability is calculated as:

[tex]P(Green\ or\ Red) = P(Green) + P(Red)[/tex]

For each, we have:

[tex]P(Green\ or\ Red) = \frac{Green}{Total} + \frac{Red}{Total}[/tex]

Take LCM

[tex]P(Green\ or\ Red) = \frac{Green+Red}{Total}[/tex]

[tex]P(Green\ or\ Red) = \frac{24+12}{120}[/tex]

[tex]P(Green\ or\ Red) = \frac{36}{120}[/tex]

[tex]P(Green\ or\ Red) = 0.30[/tex]

What type of correlation is shown in the graph?

Answers

Answer:

no correlation

Step-by-step explanation:

it shows no trend or a line thing

also i think your pic is upside down haha

Mia's birthday party will cost $12 if she invites 4 guests. What is the maximum number of guests there can be if Mia can afford to spend a total of $15 on her birthday party?

Answers

You find how much each person costs so 12/4 = 3. So every person costs 3 dollars. Then you divide 15/3 and you get 5 so she can invite a max of 5 people

What linear expression would you add to -4y+2 to have a sum of y

Answers

Answer:

Step-by-step explanation:

HELP ME PLEASEEEEEEEEE

Answers

The Answer Is 1.7 Pounds.

Answer:

1.7 pounds

Step-by-step explanation:

7.9 - 6.2= 1.7

Describe how to transform the graph of g(x)=ln(x) in the graph of f(x) = ln(-x)-9

Answers

Answer:

the answer is d because it's reflects

HELPPPPP WILLLLL AMRK BRAINLIESTTTTTT

Answers

I think it’s c but I’m sorry if it wrong

It has been reported that 8.7% of U.S. households do not own a vehicle, with 33.1% owning 1 vehicle, 38.1% owning 2 vehicles, and 20.1% owning 3 or more vehicles. The data for a random sample of 100 households in a resort community are summarized in the frequency distribution below. At the 0.05 level of significance, can we reject the possibility that the vehicle-ownership distribution in this community differs from that of the nation as a whole?
Number of Vehicles Owned Number of Households 0 20 1 35 2 23 3 or more 22 =100

Answers

Answer:

Here, the test statistics ( 20.951 ) is greater than the critical value ( 7.815 )

Therefore, we reject H₀ at 0.05 level of significance.

Hence, there is significant evidence to support the claim that In this community, vehicle ownership distribution is NOT like that of all U.S household

Step-by-step explanation:

Given the data in the question;

Number of vehicle owned Number of households

0 20

1 35

2 23

3 or more 22

Total ( n ) 100

Null hypothesis H₀ : In this community, vehicle ownership distribution is like that of all U.S household

Alternative hypothesis Hₐ : In this community, vehicle ownership distribution is NOT like that of all U.S household

Also given that, ∝ = 0.05

Now, we compute the test statistics;

x² = ∑[ ( O[tex]_i[/tex] - E[tex]_i[/tex] ) / E[tex]_i[/tex] ]

where E[tex]_i[/tex] is expected frequency and O[tex]_i[/tex] is observed frequency.

so we make our table for chi square test statistics

No. of O[tex]_i[/tex] P E[tex]_i[/tex] (O[tex]_i[/tex] - E[tex]_i[/tex])² (O[tex]_i[/tex] - E[tex]_i[/tex])²/E[tex]_i[/tex]

Vehicle (n×P)

owned

0 20 0.087 8.7 127.69 14.677

1 35 0.331 33.1 3.61 0.109

2 23 0.381 38.1 228.01 5.985

3 or more 22 0.201 20.1 3.61 0.180

Total 100 100 20.951

hence, x² = 20.951

Now, degree of freedom df = k - 1 = 4 - 1 = 3

From Chi-Square critical value table; ( right tailed test ) for ∝ = 0.05

[tex]x_{0.05, 3[/tex] = 7.815

Decision Rule

Reject H₀ if x² is greater than xₐ².

Here, the test statistics ( 20.951 ) is greater than the critical value ( 7.815 )

Therefore, we reject H₀ at 0.05 level of significance.

Hence, there is significant evidence to support the claim that In this community, vehicle ownership distribution is NOT like that of all U.S household

Which function represents a quantity growing exponentially?

A y = 2(0.5)

В y = 0.5(2)

C y = 2(0.5)2X

D y = 6)

Answers

Answer: c

Step-by-step explanation:

In the past year and a half, Gnarly the dog lost an average of 2/9 pound each month. Today, Gnarly weighs 14 pounds. How much did Gnarly weigh a year and a half ago?

Answers

Answer:

Weight before 18 month = 18 pound

Step-by-step explanation:

Given:

Current weight of dog = 14 pound

Weight lose each month = 2/9 pound

Total number of month = [tex]1\frac{1}{2}[/tex] year = 18 month

Find:

Weight before 18 month

Computation:

Total weight lose = Weight lose each month x Total number of month

Total weight lose = 2/9 x 18

Total weight lose = 4 pound

Weight before 18 month = Current weight of dog + Total weight lose

Weight before 18 month = 14 + 4

Weight before 18 month = 18 pound

When electricity (the flow of electrons) is passed through a solution, it causes an oxidation-reduction (redox) reaction to occur. If the solution contains a metal cation such as Ag+, the flow of electrons will reduce the silver ion, causing solid silver to plate onto the electrode. The amount of metal plated depends on the number of electrons passed. The total charge of a mole of electrons is 96, 485 coulombs (C) and 1 ampere = 1 coulomb/second (C/s).
What mass of Cu(s) is electroplated by running 28.5 A of current through a Cu2+ (aq) solution for 4.00 h? Express your answer to three significant figures and include the appropriate units.
How many minutes will it take to electroplate 37.1 g of gold by running 5.00 A of current through a solution of Au+(aq)? Express your answer to three significant figures and include the appropriate units.

Answers

Answer:

a. 135 g

b. 60.6 min

Step-by-step explanation:

a. What mass of Cu(s) is electroplated by running 28.5 A of current through a Cu2+ (aq) solution for 4.00 h? Express your answer to three significant figures and include the appropriate units.

The chemical equation for the reaction is given below

Cu²⁺(aq) + 2e⁻ → Cu(s)

We find the number of moles of Cu that are deposited from

nF = It where n = number of moles of electrons, F = Faraday's constant = 96485 C/mol, I = current = 28.5 A and t = time = 4.00 h = 4.00 × 60 min/h × 60 s/min = ‭14,400‬ s

So, n = It/F = 28.5 A × ‭14,400‬ s/96485 C/mol = ‭410,400‬ C/96485 C/mol = 4.254 mol

Since 2 moles of electrons deposits 1 mol of Cu, then 4.254 mol of electrons deposits 4.254 mol × 1 mol of Cu/2 mol = 2.127 mol of Cu

Now, number of moles of Cu = n' = m/M where m = mass of copper and M = molar mass of Cu = 63.546 g/mol

So, m = n'M

= 2.127 mol × 63.546 g/mol

= 135.15 g

≅ 135 g to 3 significant figures

b. How many minutes will it take to electroplate 37.1 g of gold by running 5.00 A of current through a solution of Au+(aq)?

The chemical equation for the reaction is given below

Au⁺(aq) + e⁻ → Au(s)

We need to find the number of moles of Au in 37.1 g

So, number of moles of Au = n = m/M where m = mass of gold = 37.1 g and M = molar mass of Au = 196.97 g/mol

So, n = m/M = 37.1 g/196.97 g/mol = 0.188 mol

Since 1 mol of Au is deposited by 1 moles of electrons, then 0.188 mol of Au deposits 0.188 mol of Au × 1 mol of electrons/1 mol of Au = 0.188 mol of electrons

We find the time it takes to deposit 0.188 mol of electrons that are deposited from

nF = It where n = number of moles of electrons, F = Faraday's constant = 96485 C/mol, I = current = 5.00 A and t = time

So, t = nF/It

= 0.188 mol × 96485 C/mol ÷ 5.00 A

= ‭18173.30‬ C/5.00 A

= 3634.66 s

= 3634.66 s × 1min/60 s

= 60.58 min

≅ 60.6 min to 3 significant figures

Help me with my homework, please

Answers

Answer:

150°

Step-by-step explanation:

We know each angle in a equilateral triangle is 60° and that of a rectangle is 90° . So ,

[tex]\implies \angle ABC = \angle DBC + \angle ABD \\\\\implies \angle ABC = 90^o + 60^o \\\\\implies \boxed{\boxed{ \angle ABC = 150^o }}[/tex]

Mr. Shand had $59.75 in his bank account, but then he bought some new ties and some pancakes. After the purchase, he was in debt $75.10. Which of the following rational numbers best shows the change in Mr. Shand’s account balance?
STEP BY STEP EXPLINATION PLEASE!

Answers

Answer:

Ok so first he bought the road and pancakes with means he speant 134.85 dollars which mean he out himself in the negatives after he bought the his items

write the first five terms of the sequence an=3n^2

Answers

Answer:

2,1,0 is the sequence of its terms

point a and point b are placed on a number line point a is located at -20 and point b is 5 less then point a Wich statement about point b is true

Answers

Answer:

Step-by-step explanation:

D beause less then 5 that means it gose down the grid

help please!!!!!!!!!!!!!!!!!!! very important

Answers

Answer:

i got B for my answer

PLEASE HELP PLEASE

A girls' choir is choosing a uniform for their concert. They can pick red, green or
purple sweaters, and they can pick tan, white or black skirts. The shoes they need
come in gold and black. Assuming all combinations are acceptable, how many
different combinations can the choir pick?

Answers

Answer:

Step-by-step explanation:

Answer: 18 different outfit combinations

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

Explanation:

There are 3 colors to pick for the sweaters (red, green, purple).There are 3 colors for the skirts (tan, white, black)There are 2 colors for the shoes (gold, black)

Multiply out those values mentioned to get the final answer: 3*3*2 = 9*2 = 18.

There are 18 different outfit combos.

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

Further explanation (optional section):

Let's say we only worried about the sweaters and shoes, and for now there's only one color for the skirt. We have 3 colors for the sweaters and 2 for the shoes. Imagine a table with 3 rows and 2 columns. Each row is a different color for the sweater and each column is a different color for the shoe. There are 3*2 = 6 cells inside the table. Each cell is a different outfit.

For instance, we could have R = red sweater and G = gold shoe. Then that means RG = red sweater + gold shoe outfit. So we'd have RG as one of the cells of this 6 cell table.

Now imagine that we laid out a table that is 6 by 3. The 6 is from the 6 outfits calculated earlier, and the 3 is now accounting for the colors of the skirts. We'd then have 6*3 = 18 combos total. Again, each cell inside the table represents a different outfit combo.

A bin of 5 transistors is known to contain 2 that are defective. The transistors are tested one at a time until both defective transistors have been identified. Denote N1 the number of tests until the first defective is identified and N2 the number of tests until the second defective is identified. (a) Find the joint probability mass function of N1 and N2.

Answers

Answer:

sorry I donot know the answer never mind ok

A sample of 68 college students yields a mean annual income of $3248 and a standard deviation of $885. Find the margin of error in estimating μ at the 99% level of confidence.

Answers

Answer:

can put this solution on YOUR website!

margin of error is t(0.995 df=67)*s/sqrt(n)

t=2.65

the margin of error is 2.65*885/sqrt(68)=$284.40

Find the measure of 43.
43
75
43 = [?]

Answers

Answer:

<3=105°

Step-by-step explanation:

The angle directly to the right of the 75° angle is 105°, as the angles along a straight line add to 180.

<3=105° because they are corresponding angles

Answer:

Solution given:

<3+75=180[co- interior angle]

<3=180°-75°=105°

<3=105°

What is the difference of the rational expressions below?
6x _ 5
X-2 X

A. 6x2 -5x - 10
x(x - 2)

B. 6x-5
2X-2

c. 6x^2 -5x +10
x(x-2)

D. 6x-5
-2
I'm

Answers

C.) 6x^2-5x+10/x(x-2)

Mark and eight of his friends went out to
eat. They decided to split the bill evenly.
Each person paid $9. What was the total
bill?

Answers

If mark and 8 of his friends went out the total of people is 9, so if you think about it 9x9=81 so the total cost of the bill was $81

72 EXPLANTION 9+9+9+9+9+9+9+9+9=72

Is 3/4 closer to 0 or 1?

Answers

Answer:

It is closer to 1

Step-by-step explanation:

3/4 is 1/4 away from 1, whereas 0 is 3/4 away from 3/4. So, 1 is closer.

The fraction 3/4 is closer to 1.

We have,

To determine whether the fraction 3/4 is closer to 0 or 1, we can compare the distances between 3/4 and 0, and between 3/4 and 1.

The distance between 3/4 and 0 is 3/4.

The absolute value of the difference is |3/4 - 0| = 3/4.

The distance between 3/4 and 1 is 1 - 3/4 = 1/4.

Since the distance between 3/4 and 1/4 (which is 1/4) is smaller than the distance between 3/4 and 0 (which is 3/4), we can conclude that 3/4 is closer to 1 than to 0.

In other words, if we were to plot the fractions 0, 3/4, and 1 on a number line, the distance between 3/4 and 1 would be smaller than the distance between 3/4 and 0.

Therefore,

The fraction 3/4 is closer to 1.

Learn more about fractions here:

https://brainly.com/question/24370499

#SPJ2

SOMEONE HELP ME WITH THISS

Answers

Answer:

/_ 12 is the angle of depression from the firefighter to the second story window.

Step-by-step explanation:

Hope it helps!

#CarryOnLearning

Answer:

2nd option is the correct answer

Step-by-step explanation:

[tex] \angle 12[/tex] is the angle of depression from the second story window to the firefighter.

Which statement about the ordered pairs (–2, 9), (0, 9) and (3, 9) is not true?

Answers

Answer:

The slope of these coordinates is 0.

It is a horizontal line.

Step-by-step explanation:

Other Questions

Simplify the expression: 6x ^ 2 + 7x - 3x ^ 2 - 2x

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Simplify the expression:
6x ^ 2 + 7x - 3x ^ 2 - 2x