What is the slope, m, and y-intercept for the line that is plotted on the fried below…?

Answer:

61

Step-by-step explanation:

to calculate the 20th term you use the formula

Tn=a+(n-1)d where a stands for the first term,n the number of terms and d the common difference.in this case the first term is 4 the common difference is 3 cause they were adding 3 to go to the next term.. therefore the solution will be:

Tn=4+(20-1)3

=4+19×3

=4+57

=61

the 20th term is 61

I hope this helps

Answer:

98.7 tonnes of sand.

Step-by-step explanation:

First find the total :

3 + 1 + 15 = 19

if 19 = 125 tonnes,

what about 15 = ?

(cross multiply)

[tex] \frac{15}{19} \times 125[/tex]

= 1875 ÷ 19

= 98.68

(rounded off to 1 decimal place)

= 98.7 tonnes of sand.

Answer:

w=-7/2z

Step-by-step explanation:

to solve for w you firstly have to group the like terms

5w-3w=2z-9z

2w=-7z

then you have to divide both sides by 2 inorder to remain with w on one side.

2w/2=-7/2

w=-7/2

I hope this helps

Answer:

Step-by-step explanation:

Correct choice is A

How long, to the nearest day, until it is safe to swim again will be 156 days

Let x represent number of day until it is safe to swim again

First step

=2000 *1/2^x

100=2000 *0.5^x

0.05=0.5^x

Second step

Log 0.05=xLog 0.5

Log 0.05/L0g 0.5=x

x=36 days* Log 0.05/L0g 0.5

x=36 days*43.22

x=156 days

Inconclusion How long, to the nearest day, until it is safe to swim again will be 156 days

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Answer:

1,086,183,741,982,184

Step-by-step explanation:

998^3

 = (1,000)^3 - (2)^3 - 3 · 1,000 · 2 (1000 - 2)

 = 1,000,000,000 - 8 - 6,000 (998)

 = 999,999,992 - 5,988,000

 = 994,011,992

103^3

 = (100 + 3)^3

 = (100)^3 + (3)^3 + 3(100) (3) + (100+3)

 = 1,000,000 + 27 + 900(103)

 = 1,000,027 + 92,700

 = 1,092,727

994,011,992 · 1,092,727

 = 994,011,992 · (1,000,000 + 90,000 + 2,000 + 700 + 20 + 7)

 = (994,011,992 · 1,000,000) + (994,011,992 · 90,000) + (994,011,992 · 2,000) + (994,011,992 · 700) + (994,011,992 · 20) + (994,011,992 · 7)

= 994,011,992,000,000 + 89,461,079,280,000 + 1,988,023,984,000 + 695,808,394,400 + 19,880,239,840 + 6,958,083,944

 = 1,086,183,741,982,184

Both? or just the westbound?

Answer:

For a function y = f(x), the range is the set of all the possible values of y.

In the question you wrote:

y = secx - 2

This can be interpreted as:

y = sec(x - 2)

or

y = sec(x) - 2

So let's see each case (these are kinda the same)

If the function is:

y = sec(x - 2)

Firs remember that:

sec(x) = 1/cos(x)

then we can rewrite:

y = 1/cos(x - 2)

notice that the function cos(x) has the range -1 ≤ y ≤ 1

Then for the two extremes we have:

y = 1/1 = 1

y = 1/-1 = -1

Notice that for:

y = 1/cos(x - 2)

y can never be in the range  -1 < x < 1

As the denominator cant be larger, in absolute value, than 1.

Then we can conclude that the range is all reals except the interval:

-1 < y < 1

If instead the function was:

y = sec(x) - 2

y = 1/cos(x) - 2

Then with the same reasoning, the range will be the set of all real values except:

-1 - 2 < y < 1 - 2

-3 < y < -1

Answer:

sin(theta)=-2/3 and cos(theta)=-sqrt(5)/3

Step-by-step explanation:

First of all, as the theta is in 3rd quadrant, all the other ratios will be negative. Second tan(theta)=P/B. So, 2=P and B=sqrt(5), H=sqrt(P^2+H^2)=sqrt(4+5)=3. sin(theta) will be P/H=-2/3 and cos(theta) will be B/H=-sqrt(5)/3

Answer:

c. 20/21

Step-by-step explanation:

You just multiply straight

3×7 = 21

4×5 =20

21/20 <---- and it can't be reduced farther than this.

Answer:

C. ²¹⁄₂₀

Step-by-step explanation:

OKOKOK DON'T WORRY I'M HERE :)))

--

When multiplying fractions, you multiply the numerators together and then multiply the denominators together.

The numerators here are 3 and 7. Multiply those and you get 21 (7 x 3 = 21).

The denominators here are 4 and 5. Multiply those and you get 20 (4 x 5 = 20).

Then you put the newly-multiplied numerator over the newly-multiplied denominator and you get ²¹⁄₂₀.

Hope this helped!!

Answer:

x=18

Step-by-step explanation:

Vertical angles are congruent. This means that they are equal to each other. So, to solve set them equal to each other and isolate x. First, set up the equation. Then, subtract x from both sides. Finally, add 11 to both sides and simplify.

1) [tex]2x-11=x+7[/tex]

2) [tex]x-11=7[/tex]

3)[tex]x=18[/tex]

Answer

x = 13 or x = 23

Step-by-step explanation:

|x-18| = 5 means there are two possibilities.

x-18 can equal 5 or equal -5 because absolute value sign makes everything inside it positive.

so you can write two equations and solve

first is x-18 = 5

x-18 + 18 = 5 + 18

x = 23

the second is x - 18 = -5

x - 18 + 18 = -5 + 18

x = 13

The two solutions are 13 and 23.

Answer:

One meter = 10 decimeters   =    100 centimeters     =    0.001 kilometers    =    3.2808399 feet    =    1.0936133 yard    =    0.000621371192 mile    =   39.3700787 inches

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

the answer is B because, our range starts at 2 but does not include 2 and continues to infinity (x>8) does not have a boundary.

Answer:

7

Step-by-step explanation:

4/8 = 1/2

3/8 is less than 1/2 so round down

7 3/8 rounds to 7

Answer:

7

Step-by-step explanation:

7 3/8 = 7.375

The closest whole number is 7

Answer from Gauthmath

Answer:

0.167

Step-by-step explanation:

1 dice has 6 faces, 2 dice will have a total of 12 faces

1 dice has 1 face with a 3 on it, so 2 dices will have 2 total 3s on them.

2 /12 = 1/6 = 0.16666666666

Rounded to 3 d.p = 0.16666

= 0.167

Answered by Gauthmath

Answer:

Luis's balance = $25,283.33

Step-by-step explanation:

Given the following data;

To find how much money Luis will have;

First of all, we would have to convert the value of time in months to a year.

Conversion:

12 months = 1 year

8 months = X year

Cross-multiplying, we have;

12 * X = 8

X = 8/12

X = 2/3 years

To find the simple interest, we would use the formula;

[tex] S.I = \frac {PRT}{100} [/tex]

Where;

Substituting the values into the formula, we have;

[tex] S.I = \frac {25,000 * 1.7 * \frac {2}{3}}{100} [/tex]

[tex] S.I = \frac {28333.33}{100} [/tex]

S.I = $283.33

Luis's balance = S.I + Principal

Luis's balance = 283.33 + 25000

Luis's balance = $25,283.33

Answer:

282.35km/hr

Step-by-step explanation:

1200km+1200km=2400km

time taken=3hr 45min+4hr 45min=8hr 30min

average speed=2400km/8hr 30min

Answer:

x=300

Step-by-step explanation:

STEPS FOR SOLVING LINEAR EQUATION

−150=−0.5x

Divide both sides by −0.5.

−0.5

−150

​

=x

Expand  

−0.5

−150

​

 by multiplying both numerator and the denominator by 10.

−5

−1500

​

=x

Divide −1500 by −5 to get 300.

300=x

Swap sides so that all variable terms are on the left hand side.

x=300

Hope this helped!

Answer:

5

Step-by-step explanation:

May be correct than follow me please

Work Shown:

g(x) = x-3

g(3x) = 3x-3

We simply replaced every x with 3x. There isn't much else to show in terms of work. I suppose you could factor out the GCF to say g(3x) = 3(x-1), but that isn't much of a simplification in my opinion.

Answer:

Step-by-step explanation:

The meaning of g(x) = x - 3 is that whatever you put in the x on the left, you will put in the x on the right.

g(3x) = 3x - 3 is the correct answer.

Answer: He need 3 boxes.

Step-by-step explanation:

Split his floor into 6 parts, each part needing 1/2 of the tile box:

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

Or you can add 1/2 six times for each 1/6 of the floor:

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

Answer:

470

Step-by-step explanation:

2(7×2+2×2+2×7)+2(12×7+7×7+12×7)-2(7×2)

= 64+434-28

= 470 cm²

The motion of the ant is a nonlinear graph;

It has its increasing segment at segment A, the constant segment at B and the decreasing segment at C.

THE TYPE OF GRAPH

The graph has 3 different straight lines, all of which point to different directions.

For a graph to be linear, such graph must have just 1 straight line. This means that the graph is nonlinear.

THE SEGMENTS OF THE GRAPH

The increasing segment of the graph is the segment that points in the upward direction.

In the attached graph, line segment A [i.e. from (0,0) to (2,16)] represents an upward movement of the ant because it points upward.

The decreasing segment of the graph is the segment that points in the downward direction.

In the attached graph, line segment C [i.e. from (4,16) to (6,0)] represents a downward movement of the ant because it points downward.

The constant segment of the graph is the segment that is represented by a horizontal line

In the attached graph, line segment B [i.e from (2,16) to (4,16)] represents the constant segment.

THE MOTION OF THE GRAPH

The ant travels at a constant speed through segment A. It then rests for 2 seconds in segment B and finally travels at a constant speed through segment C.

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Answer: got 100% on test

Step-by-step explanation:

 Part A: This graph is not a linear function, because a linear function is a function whose graph is represented by a straight line and this graph does not represent a straight line. Which means it is a nonlinear function, because a non-linear function is any function that is not a linear function.

Part B: In line segment A the graph is increasing. In line segment B the graph is remaining constant. In line segment C the graph is decreasing.

Part C: The ant ran 16 cm up the hill in 2 seconds. It took 2 seconds to find his hole after that, then he ran all the way down his hole in 2 seconds.

Answer:

B, pi

Step-by-step explanation:

The sine wave shown above has two waves until it reaches 2 pi, making the period of the sine graph 2pi divided by the two waves, making the answer pi.

Answer:

x = - 10, x = 10

Step-by-step explanation:

Given

x² - 100 = 0 ( add 100 to both sides )

x² = 100 ( take the square root of both sides )

x = ± [tex]\sqrt{100}[/tex] = ± 10

solutions are x = - 10, x = 10

Answer:

2856

Step-by-step explanation:

This question is a little unclear. 6 times 17 times 28 is equal to 2856 if that is what you are trying to ask.