What is the explicit formula for the sequence?
7, 2, –3, –8, –13, . . .

It's known as exterior angle theorem...The sum of angleB + angle C is equal to angle DAB....

That means 65+61 = 126...

Angle DAB =126

[tex]answer = 22.9 \: cm \\ solution \\ hypotenuse = 25 \: cm \\ perpendicular = x \\ base = 10 \: cm \\ now \\ using \: pythagorus \: theorem \\ {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {p}^{2} = {h}^{2} - {b}^{2} \\ or \: {x}^{2} = {25}^{2} - {10}^{2} \\ or \: {x}^{2} = 625 - 100 \\ or \: {x}^{2} = 525 \\ or \: {x} = \sqrt{525} \\ or \: x = 22.9 \: cm \\ hope \: it \: helps[/tex]

Answer:

[tex]3\dfrac{5}{8}[/tex] pizzas.

Step-by-step explanation:

It is given that Aisha and her friends ate [tex]2\dfrac{1}{2}[/tex] pizzas.

After the party, the remaining pizza is [tex]1\dfrac{1}{8}[/tex] pizzas.

Now,

[tex]2\dfrac{1}{2}=\dfrac{4+1}{2}=\dfrac{5}{2}[/tex]

[tex]1\dfrac{1}{8}=\dfrac{8+1}{8}=\dfrac{9}{8}[/tex]

Pizzas at the starting = Pizza eaten by Aisha and her friends + Remaining pizza

[tex]=\dfrac{5}{2}+\dfrac{9}{8}[/tex]

[tex]=\dfrac{20+9}{8}[/tex]

[tex]=\dfrac{29}{8}[/tex]

[tex]=3\dfrac{5}{8}[/tex]

Therefore, [tex]3\dfrac{5}{8}[/tex] pizzas were there at the start of the party.

Answer:

3 & 5/8

Step-by-step explanation:

i got it right

Answer:

1/16

Events A+B are written (P) yellow : 1/4 * (P) green : 1/4

Ao event = (P) 1/4 * 1/4 = 1/16

Step-by-step explanation:

The probability of event A and event B is 1/16.

We have given that,

Event A: lands on yellow.

Event B: lands on green

Events A+B are written  

yellow(P) = 1/4 * (P) green= 1/4

Probability is defined as the likelihood of something occurring or the chance of something happening.

Ao event (P)=1/4 * 1/4

Event = 1/16

Therefore the probability of event A and event B is 1/16.

To learn more about the probability visit:

https://brainly.com/question/25870256

#SPJ2

Answer:

B

Step-by-step explanation:

To find DC

c²=a²+b² (pythagorean theory)

c²=6²+8²

c²=36+64. c²=100. √100. c=10cm

thus D =10.

AD= 15-6=9

To find AC

c²=a²+b²

c²=15²+8²

c²=225+64. c²=289 √289. c=17

AC=17

perimeter is the distance around a figure thus ADC=9+10+17

=36

Answer:

Approximately 3.8 seconds

Step-by-step explanation:

H(x)=-16x^2+60x+4

We want to find when the ball hits the ground, or where the zeros are

0 =-16x^2+60x+4

Using the quadratic formula

-b ±sqrt(b^2 -4ac)

---------------------------

   2a

-60 ±sqrt(60^2 -4*-16*4)

---------------------------

   2(-16)

-60 ±sqrt(3600+256)

---------------------------

   -32

-60 ±sqrt(3856)

---------------------------

-32

We want the positive value for time

-60-62.09669879

---------------------------    

  -32

3.815521837

Approximately 3.8 seconds

a squared + b squared = c squared

576+100=c squared

676=c squared

c squared = 26

hope it helps

Answer:

7

Step-by-step explanation:

1 Simplify  -2-4−2−4  to  -6−6.

2-19-(-6)\times (-5-(-7))\times 22−19−(−6)×(−5−(−7))×2

2 Remove parentheses.

2-19-(-6)\times (-5+7)\times 22−19−(−6)×(−5+7)×2

3 Simplify  -5+7−5+7  to  22.

2-19-(-6)\times 2\times 22−19−(−6)×2×2

4 Simplify  (-6)\times 2\times 2(−6)×2×2  to  -24−24.

2-19-(-24)2−19−(−24)

5 Remove parentheses.

2-19+242−19+24

6 Simplify  2-192−19  to  -17−17.

-17+24−17+24

7 Simplify.

7

Answer:

x=7

Step-by-step explanation:

CE = 36

CE = 9+(3x+6) = 9+6+3x = 15+3x

36= 15+3x

36-15 = 15-15+3x (removing 15 from left side also means removing 15 from right side)

21 = 3x

x= 21/3 = 7

Answer:

x=7

Step-by-step explanation:

First, I wrote down the equation.

3x+6=36-9

Then, I simplified it.

3x+6=27

Then, I moved the six from the right to the left.

3x=21

After that, I divided both sides by 3.

x=7

Yay! You got your answer!

Answer:

The center is (-1,0) and the radius is 10

Step-by-step explanation:

We can write the equation of a circle as

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

where the center is (h,k) and the radius is r

(x+1)^2+y^2=100

(x - -1)^2+(y-0)^2=10^2

The center is (-1,0) and the radius is 10

Answer:

radius = 10

center = (- 1, 0)

Step-by-step explanation:

eqn. of the circle = (x - h)^2 + (y - k)^2 = r^2

= (x + 1)^2 + y^2 = 100

(x - (-1))^2 + (y - 0)^2 =10^2

The center is (- 1, 0) and the radius is 10

Hope this helps!

Answer:

6

Step-by-step explanation:

We can make:

A 3 sided shape and a 13 sided shape (3 + 13 = 16)

A 4 sided shape and a 12 sided shape (4 + 12 = 16)

A 5 sided shape and an 11 sided shape

A 6 sided shape and a 10 sided shape

A 7 sided shape and a 9 sided shape

2 8 sided shapes

Therefore the answer is 6.

Answer:

0.05

Step-by-step explanation:

3.25 divided by 9 is 0.35 and 2.4 divided by 8 is 0.3 (0.30)

theres a 0.05 gap

if im wrong im sorry

Answer:

The slope is 4

Step-by-step explanation:

Everytime x goes up by 1, y goes up by 4.

4/1=1

The slope of line is 4.

Therefore,the table represents the slop relationship between the lines....

please see the attached picture for full solution

hope it helps

Answer:

radius

Step-by-step explanation:

AJ is half the distance across the circle (radius).

Answer:

26.442 litre

Step-by-step explanation:

total beverage sold= 117*226

= 26442ml

in litres= 26442/1000

= 26.442

Answer:

D- Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.

Step-by-step explanation: I did the test. Stay safe and have a good one!

Answer:

what the first person said "D"

Step-by-step explanation:

Answer:

f(x) = x²

f(-10) = (-10)²

f(-10) = 100

f(x) = x²

f(-7) = (-7)²

f(-7) = 49

f(x) = x³

f(-5) = (-5)³

f(-5) = -125

f(x) = x³

f(-3) = (-3)³

f(-3) = -27

f(x) = √x

f(0) = √0

f(0) = 0

f(x) = √x

f(2) = √2

f(2) = 1.414

f(x) = 1/x

f(5) = 1/5

f(5) = 0.2

f(x) = 1/x

f(7) = 1/7

f(7) = 0.143

FUNCTION NOT GIVEN. SOLVE LIKE THE ABOVE IF YOU KNOW THE FUNCTION

Answer:

7 units to the right and 2 units up

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Took the test

Answer: #1 his school is out

Step-by-step explanation: #2 bcuz all sides equal to 66cm.

Please mark me brainlest.✌✌

Answer:

Yes, they are equilateral because all of the sides have the same length of 5

Step-by-step explanation:

The Triangle has 3 sides and each side measures up to be 5 so its an equilateral triangle

Answer:

The answer is a

Step-by-step explanation:

I hoped i helped

Answer:

-180 is your answer.

Step-by-step explanation:

Answer: -180

Step-by-step explanation: I uh, used the calculator app on my phone.

Answer: The Median: 78, The First Quartile: 63, and The Third Quartile: 99

Step-by-step explanation: Ok, so let's put the data set from least to greatest....

(63, 63, 76,) (77, 79,) (84, 99, 99)

First Quartile              Third Quartile

First, let's find the median, since you made a little mistake...

77 + 79 = 156

156 ÷ 2 = 78

The median is 78!

Now, let's determine the first quartile and the third quartile.

For the the first quartile/third quartile it'll be the middle number, if it's even we'll do the same extra step just like we'll do for the median. In this case it's not even therefore...

First Quartile: 63

Third Quartile: 99

I hope this helps!

Answer: No, as the total cost of the 3 shirts w/ sales tax is $45.36 and she only has $45.

Step-by-step explanation:

Start by finding the price of one shirt on sale.

[tex]18*0.2[/tex]

This equals 3.6 which is how much will be deducted from the original price.

One shirt costs [tex]18-3.6\\[/tex] when its 20% off.

This is equal to $14.40.

Since she wants to buy 3 of them we just multiply the $14.40 by 3.

[tex]14.4*3=\\[/tex]

This equals $43.2 but this is without a 5% sales tax which is normally added to the total end price.

To add a sales tax you take the sales tax percent plus 1 and multiply it to the $43.2.

[tex]43.2*1.05=\\[/tex]

This means the total price of Kayla's purchase will be $45.36.

This is over her $45 she has so she can not buy it.

Answer: she does not and is over $45.36 (.36) cents over

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

1.75 x 6 = 10.5

10.5 + 9.5 = 20

Answer:

20 is the answer im 100% sure ask me for a picture if u want my work shown

Step-by-step explanation:

Answer:

4.

[tex]$x=\frac{2}{3} \pm \frac{1}{6}i \sqrt{158}$[/tex]

Step-by-step explanation:

[tex]18x^2-24x+87=0[/tex]

Using Quadratic Formula

[tex]$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$[/tex]

[tex]$x=\frac{-\left(-24\right)\pm \sqrt{\left(-24\right)^2-4\cdot \:18\cdot \:87}}{2\cdot \:18}$[/tex]

Solving the discriminant:

[tex]\Delta = \left(-24\right)^2-4\cdot \:18\cdot \:87\\\Delta = 576-6264\\ \Delta=-5688[/tex]

[tex]$x= \frac{24 \pm \sqrt{-5688} }{36} $[/tex]

[tex]$x= \frac{24 \pm \sqrt{5688i} }{36} $[/tex]

Once [tex]\sqrt{5688} =\sqrt{2^3\cdot \:3^2\cdot \:79}=6\sqrt{158}[/tex]

[tex]$x=\frac{24\pm6\sqrt{158}i}{36}$[/tex]

Dividing the denominator and numerator by 6

[tex]$x=\frac{4\pm \sqrt{158}i}{6}$[/tex]

Now rewrite it:

[tex]$x=\frac{4}{6} \pm i\frac{\sqrt{158}}{6}$[/tex]

[tex]$x=\frac{2}{3} \pm i \frac{\sqrt{158}}{6}$[/tex]

or

[tex]$x=\frac{2}{3} \pm \frac{1}{6}i \sqrt{158}$[/tex]

Answer:

20%

Step-by-step explanation:

Divided the two which is 80% so the increase is 20% I'm not good at explaining

Answer:

150-120=30

30/120=0.25

0.25=25%

25% is correct

120 x 0.25 = 30

120+ 30 = 150 so 25% is correct

Step-by-step explanation: