Find the first 5 terms in the following sequence:

Answer:

k =  -9

Step-by-step explanation:

f(x) = 2x²+kx-20

From remainder theorem,

x = 10 and f(10) = 90

f(10) = 90

Subsitute the value of x into the expression above.

f(10) = 2(10²)+10k-20 = 90

200+10k-20 = 90

Solve for k by collecting like terms

10 k = 90+20-200

10k = 110-200

10k = -90

k = -90/10

k = -9.

Hence the value of the constant is -9

Answer:

30(x+1)/x+7

Step-by-step explanation:

Answer: The measure of angle J = 15°, measure of angle K  =45° and the measure of angle J = 120°.

Step-by-step explanation:

Let the measure of angle J be x.

Then, the measure of angle K will be 3x

and the measure of angle L = 8x

Since the sum of all angles of a triangle is 180 degrees.

Then,

angle J + angle K + angle L = 180 degrees

⇒ x+3x+8x =180

⇒ 12x = 180  

⇒x = 15  [divide both sides by 12]

Hence, the measure of angle J = 15°, measure of angle K = 3(15) =45° and the measure of angle J = 8 (15) = 120°.

i.e. the measure of angle J = 15°, measure of angle K  =45° and the measure of angle J = 120°.

Answer:

Step-by-step explanation:

By the Pythagorean Theorem we know

h^2=x^2+y^2 (where h is the hypotenuse and x and y are sides of a right triangle)

w^2+18^2=30^2

w^2=30^2-18^2

w^2=900-324

w^2=576

w=24 in

Answer:

8/15

Step-by-step explanation:

7/10 = 21/30

1/6 = 5/30

21/30-5/30 = 16/30=8/15

Answer:

32/60

Step-by-step explanation:

7/10-1/6

6 and 10 can both go into 60 so you do

10x6 and 6x10 u get 60 as the denominator now you have to multiply the same for the numerator and you get 10/60 and 42/60 now subtract

42-10= 32

32/60

Find liters per day by dividing the amount made by the number of days :

10 liters / 2 days = 5 liters per day.

Find how much more he needs to make by subtracting the amount made from the total he wants:

15 liters - 10 liters = 5 liters more needed.

Divide amount needed by time:

5/5 = 1

He will need to spend 1 more day, which means he will spend a total of 3 days to make 15 liters.

Answer:

146.93 m^2

Step-by-step explanation:

1. Area of the triangle plus the area of the semicircle.

2. Triangle: b x h x .5 14 x 10 x .5= 70

3. area of semicircle: (πr^2).5 7^2 x π x .5 = 76.93

We halved the area of a circle since we have half a circle.

4. 76.93+70= 146.93

Answer:

1) increasing the side by a quantity of 1 causes the new square to increase by 2 times the previous side quantity + 1.

Example 1: 3x3=9, if you increase the sides to 4x4 increases the square by (2x3+1) to be 16.

Example 2: 12x12=144, if you increase the sides to 13x13 increases the square by (2x12=1) to be 169.

2) The same relationship

Step-by-step explanation:

1)

3 x 3  = 9

4 x 4 = 16

5 x 5 = 25

2)

5 x 5 = 25

12 x 12 = 144

13 x 13 = 169

Answer:

A 5c+ 275 > 500

Step-by-step explanation:

Answer:

Adjacent = 9.75 inches.

Step-by-step explanation:

Given the following data;

Hypothenus = 12 inches

Opposite = 7 inches

To find the other leg i.e adjacent, we would use Pythagorean' theorem given by the formula;

Hypothenus² = opposite² + adjacent²

Substituting into the formula, we have;

12² = 7² + adjacent²

144 = 49 + adjacent²

Adjacent² = 144 - 49

Adjacent² = 95

Taking the square root of both sides, we have;

Adjacent = 9.75 inches.

Therefore, the other leg is 9.75 inches.

Given:

A train is traveling at a constant speed in miles per hour.

The table of value is:

Hours (x)     Miles (y)

     1                  20

     2                 100

     3                 180

     4                 260

     5                 340

To find:

The equation for the given data table.

Solution:

It is given that the train is traveling at a constant speed in miles per hour. So, it is a linear relationship.

Choose any two point from the given table of value. Let the two points are (1,20) and (2,100). So, the equation of the line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-20=\dfrac{100-20}{2-1}(x-1)[/tex]

[tex]y-20=\dfrac{80}{1}(x-1)[/tex]

[tex]y-20=80(x-1)[/tex]

Add 20 on both sides.

[tex]y=80(x-1)+20[/tex]

[tex]y=80x-80+20[/tex]

[tex]y=80x-60[/tex]

Therefore, the correct option is D.

Answer:

1,4,5,7,9

Step-by-step explanation:

1

Answer:

Step-by-step explanation:

11, 13, 15, 17, & 19.

I had to do that problem a few years ago. :3

-Hope that helps!

Answer:

is there supposed to be a pic attached I need more info

Answer:

this is the answer⬆hope it helps

Answer:

can you give us a link

Step-by-step explanation:

Answer:

M = 10k - 80 and k = m/10 + 80

Step-by-step explanation:

Answer:

for me the good one is black with 18 speed

Answer:

Black with 18 speeds

Step-by-step explanation:

Answer:pls check out the image. The answer is in the image ans hope this helps and can u give me brainliest

Step-by-step explanation:

Answer:

3.66meters long

Step-by-step explanation:

since it's 6% shorter you calculate 3.9 times .94(which is basically 94 percent) which gives you 3.66 meters long

Answer:

No, it would be 72

Step-by-step explanation:

In similar triangles, the sides are different but the angles are the same. You still had a great guess though :)

Pls give brainliest

Answer:

Step-by-step explanation:

Since, both the triangles of the paperweight are congruent,

Their corresponding sides will be congruent.

3x + 2.5 = 4

3x = 4 - 2.5

x = 0.5

Similarly, 2y - 5 = 3x + y

2y - y = 3x + 5

y = 3x + 5

y = 3(0.5) + 5

y = 1.5 + 5

y = 6.5

Total length of the hypotenuse = 2y - 5

                                                    = 2(6.5) - 5

                                                    = 13 - 5

                                                    = 8

Option B is the answer.

Total length of the base = (3x + 2.5) + 4

                                        = 3x + 6.5

                                        = 3(0.5) + 6.5

                                        = 8

Option B is the answer.

Answer:

25 and 13

Step-by-step explanation:

25 - 13 = 12  

25 + 2 = 27

13 -10 =3

27 is 9 times larger than 3

Answer:

Deny. Deny. Deny.

Step-by-step explanation:

Say how crazy the similarities are but you genuinely wrote what came to mind and you did not even look up the topic online. If that fails just grovel and come up with a sob story so they are no so harsh. Hope this helps <3

Answer:

the second option im pretty sure

Answer:

4/48. I don't know for sure, but I think B is the correct answer

Answer:

Ask a tutor girl under it you will see ask a tutor so click that

We want to write the equation in the form

y = mx + b.

We need to solve for y.

4x + 2y = -6

Subtract 4x from both sides.

4x - 4x + 2y = -4x - 6

2y = -4x - 6

Divide both sides by 2.

2y/2 = (-4x - 6)/2

y = (-4x - 6)/2

y = -2x - 3

Done.