Find the next three terms of the sequence 80, –160, 320, –640

Answer:

20

Step-by-step explanation:

The lower quartile Q₁ is the value at the left side of the box, that is

Q₁ = 20

Answer:

17.4

Step-by-step explanation:

got it wrong on delta

a^{2}+(36)^{2}=

a

2

+(36)

2

=

\,\,40^{2}

40

2

Use the Pythagorean Theorem.

a^{2}+1296=

a

2

+1296=

\,\,1600

1600

Simplify.

-1296\phantom{=}

−1296=

\,\,-1296

−1296

Subtract 1296 from both sides.

a^{2}=

a

2

=

\,\,304

304

\sqrt{a^{2}}=

a

2

​

=

\,\,\pm\sqrt{304}

±

304

​

Square root both sides.

a=

a=

\,\,17.435595...

17.435595...

Simplify. Ignore negative root, as length must be positive.

a\approx

a≈

\,\,17.4

17.4

The distance far up the side of the house will the ladder reach now will be 15.2 feet.

The distance far up the side of the house will the ladder reach now will be 15.2 feet.

A 40 foot ladder is set against the side of a house so that it reaches up 24 feet.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Let the distance between the base of house and ladder foot is x feet.

By using Pythagoras theorem;

40² = 24² + x²

⇒ 1600 - 576 = x²

⇒ x² = 1024

⇒ x = 32 feet

If Lily grabs the ladder at its base and pulls it 4 feet farther from the house.

Then, the distance between the base of house and ladder foot = x + 5

Height of house is h feet

40² = h² + (x + 5)²

⇒ 1600 = h² + (32 + 5)²

⇒ 1600 = h² + 1369

⇒ h² = 1600 - 1369

⇒ h² = 231

⇒ h = √231

⇒ h = 15.19 feet

Therefore, the distance far up the side of the house will the ladder reach now will be 15.2 feet.

To learn more about the Pythagoras theorem visit:

brainly.com/question/21926466.

#SPJ2

Answer:

20 rides

Step-by-step explanation:

Let x represent how many rides you take.

Option A's cost can be represented by 0.8x + 30.

Option B's cost can be represented by 2.3x.

Set these expressions equal to each other, then solve for x:

0.8x + 30 = 2.3x

30 = 1.5x

20 = x

So, the costs will be the same at 20 rides

47

Step-by-step explanation:

it is a vertical angle

Answer:

47

Step-by-step explanation:

- A way you can answer is to do 180 - 47  which is 133

- Do 180 - 133 = 47.

-So Basically The answer is the opposite (In Simple Terms)

Answer:

y = 3/4x + 6

Step-by-step explanation:

6-3          3

------- =  ------

0--4        4

y = mx + b

take coordinates for y and x out of (-4, 3) or (0,6)

6= 3/4 * 0 + b

6 = 0 + b

b = 6

38.1372ft2

Step-by-step explanation:

lxw 6x4

[tex] \frac{1}{2} \pi \: {r}^{2} [/tex]

add both together, your radius is half your length so half of 6ft is 3 for your radius

Answer:

n-23

Step-by-step explanation:

Answer:

880 times 0.45 equals 396 as his/her commissioner fee

Step-by-step explanation:

Answer:

The 3rd graph goes on top, the 2nd graph stays in the middle, and the 1st graph goes on the bottom

Step-by-step explanation:

you are sorting these graphs by which people are getting the most average sleep. The people with less sleep go on top while the people with more sleep go on the bottom. You will find the mean (average) for each graph and sort them out.

Step-by-step explanation:

21 ≤ -3(x − 4) < 30

=> devided by (-3)

-7 ≥ x-4 > -10

=> added by 4

-3 ≥ x > -6

the result : -6 < x ≤ -3 (option C)

Answer:

y=15/16x+19/8

Step-by-step explanation:

Hi there!

We are given the points (6,8) and (-10, -7) and we need to find the equation of the line

There are 3 ways to write the equation of the line, but the most common format is slope-intercept form, or y=mx+b form, where m is the slope and b is the y intercept

First, we need to find the slope

The formula for the slope calculated from two points is (y2-y1)/(x2-x1), where (x1, y1) and (x2,y2) are points

Our (x1,y1), and (x2,y2) are (6,8) and (-10, -7)

we can label their values to avoid confusion:

x1=6

y1=8

x2=-10

y2=-7

substitute into the formula

m=(-7-8)/(-10-6)

m=15/16

so the slope is 15/16

here's our equation so far:

y=15/16x+b

we need to solve for b

Because the line will pass through (6,8) and (-10,-7), we can substitute either one of them into the equation to solve for b

Let's take (6,8) as an example

Substitute x as 6 and y as 8

8=15/16(6)+b

Multiply

8=45/8+b

subtract

19/8=b

therefore, the equation of the line is:

y=15/16x+19/8

Hope this helps! :)

Answer:

Step-by-step explanation:

Answer:

what circle

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

1/4 - ( - 3/4)

{Multiplying two negative signs gives us positive sign}

1/4 + 3/4

Add both of them:

1/4 + 3/4 = 1

Answer:

1

Step-by-step explanation:

note that - (- ) = +

[tex]\frac{1}{4}[/tex] - (- [tex]\frac{3}{4}[/tex] )

= [tex]\frac{1}{4}[/tex] + [tex]\frac{3}{4}[/tex]

= 1

Answer:

no 379s not in the sequence below

Answer:

35

Step-by-step explanation:

180-145=35

Answer:

the small section should be 35° if you think half a circle is 180° subtract the 145°

Answer:

55

Step-by-step explanation:

You're looking at a right triangle, with both legs being complementary forming 90

Since you know one measurement, 35, substract that from 90 and  you get your missing angle.

90-35 = 55

Answer:

measure of the missing angle=55°

Step-by-step explanation:

Hi there!

We're given a right angle (as indicated by the red marking) being split into a 35° angle and another angle of unknown degree. Let's call the value of this angle x.

Because the given angle is 90° being split apart by the 35° angle and x, x+35° will equal to 90° (this is called parts whole postulate, where a whole (the 90° angle) is equal to the sum of its parts (the 35° angle and the x° angle))

so we can solve the equation as:

x+35°=90°

subtract 35 from both sides

x=55°

so the measure of the missing angle is 55°

Hope this helps! :)

Answer:

f(x) = 4x + 3

Step-by-step explanation:

plug in some x values to test:

4(0) + 3 = 0 + 3 = 3

4(3) + 3 = 12 + 3 = 15

4(6) + 3 = 24 + 3 = 27

it checks out

Answer:

It would be the last one

Step-by-step explanation:

here are the coirdantes:

0-3

3-15

6-27

9-39

So if u try the first one

f(x)=x+3

3(1)=3

3+3=9

So it does not work

The second choice:

f(x)=-4x-3

3(-4)

-12-3=-15

It does not work

The third choice:

f(x)=1/4x+3

3(1/4)=3/4

3/4+3=3 3/4

The last one:

f(x)=4x+3

9(4)=36

36+3=39

As you can see the last one works

I hope this helped :D

(Fyi you can use your graphing calculator: (Ti-38))

Answer:

252 ft

Step-by-step explanation:

h(t) = -16t^2 +64t + 192

We want to find h when t= 2.5

h(2.5) = -16 (2.5)^2 +64(2.5) +192

          =-16(6.25) +160+192

            =-100+160+192

               =252

Answer:

x^3+3x−3+x^2

Step-by-step explanation:

Answer:

x3+x2+3x − 3

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Cause d = C/3.14 and that’s equals 2 3.14 and c times radius

Answer:

A is the right answer

Step-by-step explanation:

It has the right definition for a function. Can't explain it much better than that...

Answer:

x=3

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

Given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the axis of symmetry is

x = - [tex]\frac{b}{2a}[/tex]

y = 3x² - 18x + 1 ← is in standard form

with a = 3, b = - 18

x = - [tex]\frac{-18}{6}[/tex] = 3

Axis of symmetry is x = 3

Hope this help!!!

Have a great day!!!

Answer:

Solution given;

m<DCA=<BCA[diagonal of a parallelogram or rhombus bisect the angle]

13x-16=9x+4

13x-9x=16+4

4x=20

x=20/4

x=5.

now

2<ADB+<BCD=180°[co interior angle]

2<ADB=180-13*5+16-9*5-4

<ADB=82/2

<ADB=41 ° is a required answer.

Answer:

[tex](c)\ f(5) < g(3)[/tex]

Step-by-step explanation:

Given

[tex]f(n) = 2(n-1) -1[/tex]

[tex]g(n) = 3n + 6[/tex]

Required

Which is correct

[tex](a)\ g(6) < f(6)[/tex]

Calculate g(6) and f(6)

[tex]f(n) = 2(n-1) -1[/tex]

[tex]f(6) = 2(6 - 1) -1 = 2*5-1=9[/tex]

[tex]g(n) = 3n + 6[/tex]

[tex]g(6) =3*6 +6 =24[/tex]

(a) is false, because g(6) > f(6) i.e. 24 > 9

[tex](b)\ f(7) > g(10)[/tex]

Calculate f(7) and g(10)

[tex]f(n) = 2(n-1) -1[/tex]

[tex]f(7) = 2*(7-1)-1=2*6-1=11[/tex]

[tex]g(n) = 3n + 6[/tex]

[tex]g(10) =3*10+6=36[/tex]

(b) is false, because f(7) < g(10) i.e. 11 <36

[tex](c)\ f(5) < g(3)[/tex]

Calculate f(5) and g(3)

[tex]f(n) = 2(n-1) -1[/tex]

[tex]f(5) =2 *(5-1)-1 = 2*4-1=7[/tex]

[tex]g(n) = 3n + 6[/tex]

[tex]g(3) = 3*3+6=9+6=15[/tex]

(c) is true, because f(5) < g(3) i.e. 7 <15

Answer:

the answer is f(7) > g(10) because 63 > 36.

Step-by-step explanation:

Answer:

c) x^6 y^11 z^6

Step-by-step explanation:

When multiplying exponents with the same variables, you add them.

so x^4(x^2) would be 4+2 and therefore x^6.

keep in mind this doesn't apply for different variables

(xy^2)(x^2y) will not be added!!

Answer:

E

Step-by-step explanation:

I just think so. Maybe it's right

Anwser:

180/3=60

60/12=5

3x(12x5)=180

b=5

Step-by-step explanation:

Answer:

top right

Step-by-step explanation:

Answer:

7q-46= 3q +6

7q-3q = 6+ 46

4q= 52

4q/4= 52/4

q= 13

Answer:

Hello! q = 22

Step-by-step explanation:

This is a supplementary angle meaning it will add up to 180 degrees so...

22 × 7 = 154 154 - 46 = 108

3 × 22 = 66 66 + 6 = 72

108 + 72 = 180 therefore q = 22 hope that helps!