The solution set of n2 − 14n = -45 is {____}.

Answer:

1. 35/12

2. 23/10

3. 3/4

Answer:

A

Step-by-step explanation:

Because it’s the only sequence that have a common difference

The correct sequence which is an arithmetic sequence is,

⇒  6, 13, 20, 27, 34

Hence, Option A is true.

An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.

We have to given that,

To find an arithmetic sequence.

For option A;

A. 6, 13, 20, 27, 34

Common difference is,

13 - 6 = 7

20 - 13 = 7

27 - 20 = 7

Thus, The correct sequence which is an arithmetic sequence is,

⇒  6, 13, 20, 27, 34

Hence, Option A is true.

Learn more about the Arithmetic sequence visit:

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Answer:

Mixed martial artist

Step-by-step explanation:

Answer:

-p^4

Step-by-step explanation:

The term with highest degree goes first in standard form.

Answer: -p^4

Answer:

-[tex]p^{4}[/tex]

Step-by-step explanation:

standard form means highest exponent to lowest exponent regardless of the terms coefficient.  

Answer:

2nd line

Step-by-step explanation:

Answer:

P(black): 4/9

P(yellow): 2/9

P(orange): 3/9

Step-by-step explanation:

There are 4 black cubes, 2 yellow cubes, and 3 orange cubes. Add all of the cubes together to know how many cubes there are total.

4+2+3 = 9

Now that you know there are 9 cubes, you see how many black cubes you can draw out of 9. You can draw 4 black cubes out of the 9 total cubes, so the probability is 4/9.

You see how many yellow cubes you can draw out of 9. You can draw 2 yellow cubes out of the 9 total cubes, so the probability is 2/9.

You see how many orange cubes you can draw out of 9. You can draw 3 orange cubes out of the 9 total cubes, so the probability is 3/9.

Answer:

5) 4/9

6) 2/9

7) 3/9

Answer:

x = 5 y = 25

x = 10 y = 50

Step-by-step explanation:

Answer:

It won't carry it safely

Step-by-step explanation:

truck capacity ? load value

5000 gallons ? 600 bushels

5000 gallons < 5585 gallons

600 bushels ie 5585 gallons is larger than 5000 gallons, which is the truck's capacity

As per linear equation, the average of the student is 82.2.

The mean is 83.75.

A linear equation is an equation that contains one or multiple variable with the highest power of the variable is one.

The student got test average of 80, his quiz average of 72, homework of 90, and classwork of 93.

Test is worth of 30%.

Therefore, the weightage of test is

= 80 × 30%

= 24

Quiz is worth of 30%.

Therefore, the weightage of quiz is

= 72 × 30%

= 21.6

Homework is worth of 20%.

Therefore, the weightage of homework is

= 90 × 20%

= 18

Classwork is worth of 20%.

Therefore, the weightage of classwork is

= 93 × 20%

= 18.6

Therefore, the average of the student is

= (24 + 21.6 + 18 + 18.6)

= 82.2

Now, the mean is

= (80 + 72 + 90 + 93)/4

= 83.75

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Answer:

A. y = [tex]\frac{1}{4}[/tex]x - 2

Step-by-step explanation:

Answer:

12+12+4+6+26=50

12/50=6/25=0.24=24%

Answer:

1/5.

Step-by-step explanation:

First you have to add up all of the numbers: 12+12+4+6+26. Then you have to find how many red marbles there are, which this case there are 12, so you get your fraction of 12/60 which can be reduced to 1/5.

Answer:

D.  The average time spent is 11 average.

Step-by-step explanation:

The mean is the average.  The average time spent is 11 average.

Answer:

-6x^2-288

Step-by-step explanation:

18x - 432 - 18x - 6x² +144

Combine like terms

-6x^2+18x-18x-432+144

-6x^2-288

Answer:

9g2 - 42g + 49 AC = 9 × 49 = 441 factors = -21, -21

9g2 - 21g - 21g + 49

3g (3g - 7) - 7(3g - 7)

(3g - 7) (3g - 7)

g2 + 2g - 24 AC = 1 × 24 = 24 factors = 6, -4

g2 + 6g - 4g - 24

g (g + 6) - 4(g + 6)

(g + 6) (g - 4)

Answer:

y = 3

Step-by-step explanation:

All this question is asking is:

When x = 1, what does y equal?

To solve this problem, plug in 1 for x to get

[tex]y = \frac{1}{2} *6^1[/tex]

Then, simplify!

Any number to the first power is the same number, so [tex]6^1 = 6[/tex].

[tex]\frac{1}{2} * 6 = \frac{6}{2} = 3[/tex]

y = 3.

Hope this helps!

Answer:

Part A)

A reasonable domain to plot the growth function is:

[tex]0\leq d \leq 12[/tex]

Part B)

The y-intercept represents that when the biologist started her study, the radius of the algae was five millimeters.

Part C)

The average rate of change from d = 4 to d = 11 was about 0.11. This means that from the 4th day to the 11th, the radius of the algae grew, on average, at a rate of 0.11 mm per day.

Step-by-step explanation:

The radius of the algae f(d) in millimeters after d days is given by the function:

[tex]f(d)=5(1.02)^d[/tex]

Part A)

We know that the radius of the algae was approximately 6.34 mm when the biologist concluded her study. To find the reasonable domain, we can substitute 6.34 for f(d) and solve for d. Therefore:

[tex]6.34=5(1.02)^d[/tex]

Divide both sides by five:

[tex](1.02)^d=1.268[/tex]

Take the log of both sides with base 1.02:

[tex]\displaystyle d=\log_{1.02}1.268[/tex]

Using the Change of Base Property, evaluate for d:

[tex]\displaystyle d=\frac{\log 1.268}{\log 1.02}=11.9903...\approx 12[/tex]

So, the biologist concluded her study after 12 days.

Therefore, a reasonable domain to plot the growth function is:

[tex]0\leq d\leq 12[/tex]

Part 2)

The y-intercept of the function is when d = 0. Find the y-intercept:

[tex]f(0)=5(1.02)^{(0)}=5(1)=5[/tex]

Since d represent the amount of days after the study had begun, the y-intercept represents the radius of the algae on the initial day.

So, when the biologist started her study, the radius of the algae was five millimeters.

Part 3)

To find the average rate of change for a nonlinear function, we find the slope between the two endpoints on the interval.

We want to find the average rate of change of f(d) from d = 4 to d = 11.

Find the endpoints:

[tex]f(4)=5.4121...\text{ and } f(11)=6.2168...[/tex]

And find the slope between them:

[tex]\displaystyle m=\frac{f(11)-f(4)}{11-4}=0.1149...\approx 0.11[/tex]

Since f(d) measures millimeters and d measures days, this tells us that, on average, the radius of the algae grew by about 0.11 mm per day from the 4th day to the 11th day.

Answer:

B) 3^-5 (1 / 243) and D) 2^5 x 6^-5 (1 / 243)

Step-by-step explanation:

3 to the negative 5th power as a fraction is

1 / 243.

2 to the power of 5 multiplied by 6 to the power of negative 5 also equals 1 / 243.

Both expressions are equivalent to 2^5 / 6^5 because they equal the same thing (1 / 243).

Answer:

A.  7n+6

B Three times the quantity of a number plus eight

Step-by-step explanation:

A   more than means it comes after

7 times a number

7n

6 more than

7n+6

B 3( n+8)

Three times the quantity of a number plus eight

Answer:

24

Step-by-step explanation:

DO 21 divided by 7/8

Answer:

2.0936 * [tex]10^{2}[/tex]

Hope that this helps!

Answer:

15m+80 would be the correct equation

Answer:

15*m=(530-80)

Step-by-step explanation:

30$ per lawn. 530-80=450. This gives us how much money he still needs to buy his gulf clubs. But, the question says that Carlos can earn the rest of the money ($450) by mowing 15 lawns.

Here's how we model that as an expression:

15m=(530-80)

15 lawns for m dollars would get him 530-80 (450) or the remaining amount.

Hope this helps!

Answer:

16.6

Step-by-step explanation:

Answer:

6/7 or -6/7

Step-by-step explanation:

Pythagoras.

c² = a² + b²

the trigonometric functions in a norm circle (radius = 1) express the side lengths of inscribed right-angled triangles.

sin(x) is one side (e.g. "a") "touching" the 90 degree angle.

cos(x) is the other side ("b") of the 90 degree angle.

and the radius (1) is the Hypotenuse (the side opposite of the 90 degree angle), which is called "c" in the formula of Pythagoras.

so, we have

1² = (sqrt(13)/7)² + b²

b² = 1² - (sqrt(13/7)² = 1 - 13/49 = 49/49 - 13/49 = 36/49

b = cos(x) = sqrt(36/49) = 6/7

as we don't know anything about the angle x except that it has a positive sin(x) value, the cos(x) value can be positive or negative depending on if x is an angle of the first or of the second quadrant in the norm circle.

in the first quadrant cos(x) is also positive, in the second quadrant cos(x) is negative.

the third and fourth quadrants do not apply, as sin(x) would be negative for both.

9514 1404 393

Answer:

  227 square feet

Step-by-step explanation:

The volume of a rectangular prism is given by the formula ...

  V = Bh

where B is the area of the base, and h is the height.

Filling in the given information, we have ...

  2043 ft³ = B·(9 ft)

Dividing by the coefficient of B gives its value:

  B = (2043 ft³)/(9 ft) = 227 ft²

The area of the floor is 227 square feet.

Answer:

both of those lines intersect each other and are equal lines

Step-by-step explanation:

Answer:

Graph D

Step-by-step explanation:

it has the longest space

Answer:

4x^2+289 or if you want it simplified its 2x+17

Step-by-step explanation:

2x+5+12= 2x+17

2x+17^2=4x^2+289

Answer:

x= 2

Step-by-step explanation:

Answer:

3x + 4 = 2x + 6

3x +4 - 2x - 6 =0

x - 2 = 0

x = 2

3(2) +4 = 2(2) + 6

6 + 4 = 4 + 6

10 = 10

3x+2=2x+6

subtracting 2 from both sides

3x+2-2=2x+6-2

3x=2x+4

subtracting 2x from both sides

3x-2x=2x-2x+4

x=4