what is the next sequence
-2,,1.5,5,8,5,12,15.5

Answer:

x=3

Step-by-step explanation:

4x = 2x + 6

-2x  -2x + 6

2x = 6

x = 3

Answer: 56° and 34°

Step-by-step explanation: Well we know this is a complementary angle and if two angles are complementary, then the sum of their measures is 90 degrees.

If these two angles have to add together to be 90 degrees, we can use that fact to set up our equation. We can say that 4x + (2x + 6) = 90.

Simplifying from here, we have 6x + 6 = 90.

Subtracting 6 from both sides, we have 6x = 84.

Dividing both sides by 6, we find that x = 14.

Now, remember that these should add up to 90 degrees.

We can check by substituting the value that we just found back in for x to check our angles. If they add to 90 degrees, we did it correctly.

So for the first one we have 4(14) which is 56 and for the next one we have 2(14) + 6 or 28 + 6 which simplifies to 34.

Now adding, 56 + 34 gives us 90.

So, we know that these are the correct measures.

Answer:

12 boxes of bookmarks and 8 packs of dust covers.

Step-by-step explanation:

Shelley wants to have at least 250 bookmarks and dust covers for her 250 books.

One box of bookmarks contain 24 bookmarks.

One pack of dust cover contain 36 dust covers.

Shelley buys same number of bookmarks and dust covers.

So, we need to find out LCM(Least Common Multiple) of 24 and 36 to come to a common number that can be bought.

LCM of 24 and 36 is 72.

But, at least 250 bookmarks or dust covers have to be bought. So, we need to find a multiple of 72 which is greater than or equal to 250.

Let us consider the Table of 72:

72, 144, 216, 288, 360 .....

For having enough count of bookmarks and dust covers, at least 288 bookmarks and dust covers have to be bought.

Number of boxes of bookmarks bought = [tex]\frac{288}{24} \Rightarrow 12[/tex]

Number of packs of dust covers bought = [tex]\frac{288}{36} \Rightarrow 8[/tex]

12 boxes of bookmarks and 8 packs of dust covers.

Answer:

6

Step-by-step explanation:

Number of blueberries = 18

Number of strawberries = 3 times less than blueberries

Number of strawberries

Answer: 6 strawberries

Direction: Opens Up

Vertex: (1,2)

Focus: (1, 9/4)

Axis of Symmetry: x = 1

Directrix: y = 7/4

Answer:

Its A

Step-by-step explanation:

c=-20, -15, -5

f(c)=-4,5,23

gl with your test or quiz

Answer: its A

Step-by-step explanation:

Answer:

Graph.

f(x)=5(x−1)3−2

Step-by-step explanation:

Answer:

C. Exponential decay

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

So find what two numbers multiply to 72 and add up to 17

9 and 8

(z + 9)(z + 8)

Answer:

D. (z + 9)(z + 8)

Step-by-step explanation:

Let's factor z2+17z+72

z2+17z+72

The middle number is 17 and the last number is 72.

Factoring means we want something like

(z+_)(z+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 17

Multiply together to get 72

Can you think of the two numbers?

Try 8 and 9:

8+9 = 17

8*9 = 72

Fill in the blanks in

(z+_)(z+_)

with 8 and 9 to get...

so (z + 9)(z + 8)

Answer:

Step-by-step explanation:

Total weight=The garbage truck weight + recyclables weight =3 tons + 2 tons = 5 tons

Answer: 5

Step-by-step explanation:

3+2=5

Answer:

15x+28

Step-by-step explanation:

15x+10+18

15x+28

Answer:

no clue bud

Step-by-step explanation:

Answer:

(0,0)

Step-by-step explanation:

y= -3x

The y intercept is the y value when x =0

Let x =0

y = -3(0)

y = 0

(0,0)

Answer:

C.

Step-by-step explanation:

You can either graph this function to find the y-intercept or set x =0 and solve for y.

Answer:

x^2+1

Step-by-step explanation:

x^3+x^2+x+1 / x+1

=(x+1)(x^2+1) / x+1

reduce (x+1) and x+1 and you will get x^2+1

Answer:

No, the triangle is not a right triangle

Step-by-step explanation:

In this question, we are asked to determine if the triangle having the lengths given in the question is a right triangle.

To answer this question, we need to take into consideration a very important property of right angle triangles.

The property is that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two other sides

The hypotenuse is the one with the longest length. Thus, the hypotenuse here is 16 centimeters.

Now let’s have the squares!

The square of the hypotenuse is 16 * 16 = 256

Let’s sum the squares of the other two sides;

(8 * 8) + ( 14 * 14) = 64 + 196 = 260

These squares are not equal so we can conclude that the triangle is not a right triangle

Answer:

2√7

Step-by-step explanation:

Mathematically, the equation of a circle can be represented by;

(x-h)^2 + (y-k)^2 = r^2

where (h,k) = center and r = radius

Applying this to the question, we can see that the length of the radius of the circle is √7

The diameter is always twice the radius

Thus, the diameter KL = 2 * √7 = 2√7

Answer:

(-1, 1 1/4) or (-1, 1.25)

Step-by-step explanation:

Answer:

Its A

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

You cannot compare the ministers’ name because it has no correlation to their government office, so it cannot be represented as a function.

No, the government offices can not be represented as a function of the ministers' names.

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

Given that, names of offices and their presidents,

Since,

You cannot compare the ministers’ name because it has no correlation to their government office, so it cannot be represented as a function.

Hence, the government offices can not be represented as a function of the ministers' names.

Learn more about functions, click;

https://brainly.com/question/12431044

#SPJ5

Answer:

y = 3

Step-by-step explanation:

When x = -2, y = 3. You can tell because when you go to the -2 on the graph, and you move upwards, towards the line, the line lays on the point 3.

Answer:

Step-by-step explanation:

Since the swimming pool is cylindrical, we would find its volume by applying the formula for determining the volume of a cylinder which is expressed as

Volume = πr²h

Where

r represents radius of the cylinder

h represents height

π = constant = 3.14

From the information given,

Diameter = 12 feet

Radius, r = diameter/2 = 12/2 = 6 feet

h = 4 feet

Volume = 3.14 × 6² × 4 = 452.16ft³

Since 1 cubic foot is approximately 7.48 gallons, the number of gallons of water that the swimming pool can contain is

452.16 × 7.48 = 3382.16 gallons

Answer:

a) radius = 6.9288 units

b) OP = 13.857 units

Step-by-step explanation:

a)

As PA is tangent to the circle, the angle OAP is 90°, and if the angle of the arc AR is 60°, the angle AOP is also 60°.

So we can find the angle APO with the sum of internal angles of the triangle AOP:

90 + 60 + APO = 180

APO = 30°

Now, we can find the radius AO using the tangent relation of the angle APO, where the opposite side is the radius AO and the adjacent side is AP:

tangent(30) = AO / AP

0.5774 = AO / 12

AO = 0.5774 * 12 = 6.9288 units

b)

To find the length of OP, we can use the Pythagoras' theorem in the triangle AOP:

OP^2 = AO^2 + AP^2

OP^2 = 6.9288^2 + 12^2 = 192.01

OP = 13.857 units

Answer:

12

Step-by-step explanation:

that is because 20 of 60 is 12

60X20/100=12

Answer:

Answer: -0.008

Step-by-step explanation:

Hope this helped!

Answer:

Im 99 percent sure its b or c

Step-by-step explanation:

but wait for the other kid to answer

Answer:

B

Step-by-step explanation:

In the parenthesis with x it up or down on the y axis, and then after the function is what where after or before the origin the line starts on the x-axis.