-11, -8,-5, -2...
What is the 100th term in this sequence?

Answer:

Step-by-step explanation:

\(\left \{ {{x+y=0} \atop {-3x+4y=14}} \right.\) ⇔ \(\left \{ {{y=-x} \atop {y=\frac{3}{4} x+ \frac{7}{2} }} \right.\)

Answer:

STo solve for m in the equation -319.45 = m, we can isolate the variable m by adding 319.45 to both sides of the equation:

-319.45 + 319.45 = m + 319.45

This simplifies to:

0 = m + 319.45

Finally, we can subtract 319.45 from both sides to solve for m:

0 - 319.45 = m + 319.45 - 319.45

-319.45 = m

Therefore, the value of m is -319.45.tep-by-step explanation:

Answer:

a.. rs 7000

Because 15×1000=15000 it is SP when selling 1000units in the rate of Rs 15/unit& 8×1000=8000 this is cp when buying 1000 units in the rate of Rs 8/unit.

So,by formula of profit,

Rs (15000-8000)=Rs7000

We can write k(x) as the composition of g(x) and f(x).

k(x) = g(f(x))

A composition of two functions means that we need to evaluate one function in the other one.

Here we have the functions:

f(x)=  x²

g(x) = √(x - 1)

h(x) = 2x + 3

And we know that:

k(x) = √(x² - 1)

So we have a square root, then we need to evaluate g(x), and the argument is a square, then we need to evaluate in f(x), the composition is:

k(x) = g(f(x))

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Answer:

The exponential model for the population is \(P(t) = 19000e^{0.048t}\)

Step-by-step explanation:

The exponential model for the population has the following format:

\(P(t) = P(0)e^{rt}\)

In which P(0) is the initial population and r is the growth rate, as a decimal.

A population numbers 19,000 organisms initially and grows by 4.8% each year.

This means that \(P(0) = 19000, r = 0.048\)

So

\(P(t) = P(0)e^{rt}\)

\(P(t) = 19000e^{0.048t}\)

The exponential model for the population is \(P(t) = 19000e^{0.048t}\)

Answer:Let's use the formula for the area of a sector to find the radius of the sector:

Area of sector = (1/2) * radius^2 * angle in radians

We know the area of the sector is 75pi/16 and the angle in radians is 3pi/8, so we can plug those values in and solve for the radius:

75pi/16 = (1/2) * radius^2 * 3pi/8

Simplifying:

75pi/16 = (3/16) * radius^2 * pi

Multiplying both sides by 16/3pi:

25 = radius^2

Taking the square root of both sides:

radius = ±5

Since a radius can't be negative, we have:

radius = 5

Therefore, the radius of the sector is 5 units.

Answer:

y=4x+0

Explanation:

On observation, we see that from the values in the table.

• The values of y keep increasing by 4

When x=-1, y=4(-1)=-4

When x=0, y=4(0)=0

When x=1, y=4(1)=4

Therefore, we can say that for any x, the value of y can be gotten by:

Since this works, it means that there is nothing more to add. So we have:

Answer:

Justin, Louise, Franklin

Step-by-step explanation:

Answer:

11/20

Step-by-step explanation:

P(even #) = 1/2

P(3) = 1/20

add both probabilities: 10/20 + 1/20 = 11/20

Answer:

33 nickels, 17 quarters

Step-by-step explanation:

q=quarters, n=nickels

Since total number of coins = 50 and he only has quarters and nickels,

q + n = 50.

Since a quarter is 0.25 dollars, a nickel is 0.05 dollars, and his total is $5.90,

0.25q + 0.05n = 5.90

Multiply the entire second equation by -4 to get -q and eliminate q from both equations: -4(0.25q + 0.05n = 5.90)

So, q + n = 50

And -q -0.2n = -23.6

Cancel q's and add down to combine both equations, so 0.8n = 26.4

Solve for n by dividing 0.8 by both sides, so n = 33

Plug n back into the first equation: q + 33 = 50 and q is thus 17.

Hope this helps!

Answer:

-0.2 I think .......................

Answer:

This is false

Step-by-step explanation:

The mathematical function describing the cost of car the next year is →

C{n + 1} = C{n} (1 - 3/20).

The depreciation rate is a rate at which the price of a quantity decreases every year.

Given is that the cost of a new car is $32,000 it depreciates at a rate of 15% per year.

We can understand it as follows.

After one year the cost would be -

{x} = 32000 - {15% of 32000}

{x} = 32000 - 4800

{x} = $27200

After second year the cost would be -

{x} = 27200 - {15% of 27200}

{x} = 27200 - 4080

{x} = $23120

This means that after every year, the value decrease by 15% of what it was a year before. We can write -

C{n + 1} = C{n} - (15/100) C{n}

C{n + 1} = C{n} (1 - 3/20)

Therefore, the mathematical function describing the cost of car the next year is →

C{n + 1} = C{n} (1 - 3/20).

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Answer:

s² = lw

s = 40      w= 25cm

s² = lh

(40cm)² = (25cm)

1 600 cm² = 25cm L

L = 64 cm

Area of Rectangle = length(width)

Area = 64cm(25cm)

Area = 1 600 cm²

Step-by-step explanation:

Answer:

p=2

Step-by-step explanation:

4p+2≤10

    -2   -2

4p≤8

divide by 4

p≤2

Answer:

p ≤ 2

Step-by-step explanation:

Answer:

c and f

Step-by-step explanation:

The tourist's investment function can be expressed as follows:

f(x) = 720 + 35x

According the question,

The tourist's investment function can be expressed as follows:

f(x) = 720 + 35x

Where x represents the quantity of additional tours that the tourist wants to add to their travel package.

The function f(x) represents the total cost of the travel package plus the additional cost of the extra tours.

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Answer:

14.3 inches my guy

Step-by-step explanation:

Answer:

65,000 grams

Step-by-step explanation:

1 kilogram = 1,000 grams

The giraffe weighs 65,000 grams.

Answer:

To find the average speed of the truck, we can divide the total distance travelled by the total time taken.

Average speed = Total distance / Total time

In this case, the truck travelled 261 miles in 4 hours.

Average speed = 261 miles / 4 hours

Average speed = 65.25 mph (rounded to two decimal places)

Therefore, the truck was averaging approximately 65 mph on this trip.

The correct option is (a) 65 mph.

Answer:

its 2

Step-by-step explanation:

-4+6 and 4 is less than 6 and 6 is bigger than -4 so it be 2

Answer:

domain is just all of the x values while range is all of the y values

so domian is

1,2,3,5,7,8

there are 2  5's but you only put 1

never put two of the same number for range or domain

Step-by-step explanation:

Answer:

Point A: y = 552

Point B: y = 123

Step-by-step explanation:

y = -13x - 46

A: x = -46

y = -13(-46) - 46  ==> plugin -46 for x in y = -13x - 46

y = 598 - 46

y = 552

A: x = -13

y = -13(-13) - 46  ==> plugin -13 for x in y = -13x - 46

y = 169 - 46

y = 123

Answer:

79/9  or 8 7/9

Step-by-step explanation:

1+9x=80

1 +9x = 90

Subtract 1 from each side

1+9x-1 = 80-1

9x = 79

divide by 9

9x/9 = 79/9

x = 8 7/9

Answer:

Step-by-step explanation:

1+9x = 80

9x = 80-1

9x = 79

x = 79/9

or

x = 8 7/9

or

x ≈ 8.78 (x = about 8.78) rounded

The value that of the expression when n= -3 as in the task content is; Choice D; -9; First step is 3(2).

It follows from the task content that the value of the expression can be determined as follows;

n² - 3(2) + 4n

= n² - 6 + 4n

= (-3)² - 6 +4(-3)

= 9 -6 -12

= -9.

Ultimately, the first step by PEMDAS guidelines is; 3(2) and the correct choice is D.

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Step-by-step explanation:

In order to find the answer, we need to, find the denominator. The least common denominator would be 6 for 1 1/2 + 2 1/3, so if you would do it on paper, the equation would look like this, 1 3/6 + 2 2/6. Now that we have the same common denominator, we can add the fractions together. First we add the wholes, 1+2 = 3, and then, 3/6 + 2/6 which would be 5/6. Then combine you're answer together, and you would get 3 5/6 as your final answer.

Cheers!

Answer:

3 ⅚

Step-by-step explanation:

1 ½ + 2 ⅓

(1 + 2) + (½ + ⅓)

3 + ⅚

= 3 ⅚

       The equation representing the relationship between Electricity and  Gas used, and your Bill is:

      T  =  0.25 * k + 0.97 * t

        Make a plan:

We need to find the equation that represents the relationship between the total monthly bill (T), The Kilowatt Hours of Electricity used (k), and the Terms of Gas used (t).

T  =  0.25  *  k  +  0.97  *  t

1 - Write the Equation for the cost of Electricity:

        0.25 * k

2 - Write the Equation for the Cost of Gas:

       0.97 * t

3 - Combine the Equations to Represent the total Monthly Bill (T):

       T  =  0.25 * k + 0.97 * t

Hence,  The equation representing the relationship between Electricity and  Gas used, and your Bill is:

       T  =  0.25 * k + 0.97 * t

I hope that helps!