What is a formula for the nth term of the given sequence?
16,8, 4...

Answer:

112

Step-by-step explanation:

Sum of interior angles in quadrilaterial = 360

360 - 100 - 104 - 44 = 112

Step-by-step explanation:

Let the 4th angle = x

Now,

x + 100 + 104 + 44 = 360° ( the sum of interior angle of quadrilateral is 360°)

x + 248 = 360°

x = 360° - 248

x = 112

Hence, the fourth angle is 112....

Answer:

2(7x-3)=9

14x-6=9

14x=9+6

14x=15

x=15/14

Hey there!

Let's solve this equation!

We have

2(7x-3)=9

Use the Distributive Property & distribute 2:

14x-6=9

Now, add 6 to both sides:

14x=15

Divide both sides by 14:

x=15/14

Hope everything is clear.

Let me know if you have any questions!

#ILoveLearning

:-)

Considering the circle of the given equation, and comparing to the standard equation of a circle, it is found that the given circle has radius is of [tex]\frac{1}{5}[/tex].

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In this problem, the equation is given by:

[tex]\left(x + \frac{1}{5}\right)^2 + \left(y - \frac{2}{5}\right)^2 = \frac{1}{25}[/tex]

Hence, the radius is found as follows.

[tex]r^2 = \frac{1}{25}[/tex]

[tex]r = \sqrt{\frac{1}{25}}[/tex]

[tex]r = \frac{1}{5}[/tex]

More can be learned about the equation of a circle at https://brainly.com/question/24307696

Answer:

c 1/5

Step-by-step explanation:

Answer:

40 degrees is acute, 50 is also acute and they both make up a right angle (90 degrees)

Step-by-step explanation:

Answer:

Considere una secuencia cuyos primeros cinco términos son: 4, 8, 16, 32, 64.

¿Qué función (con dominio todos los enteros n 2 1) podría usarse para definir y continuar esta secuencia?

A f(n) = 4(n-1)

® f(n) = 4(2)"-1

f(n) = 4n2

f(n) = 4n

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

23,492,349

            /\

This is the hundreds place.

The place after it has a 4, so normally, we would round down. But, there is a 9 after the 4, so we round up the 4 to 5, and we round up again to the 3.

23,492,400

-hope it helps

Answer:

The value of the slope would be:
8/7

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

[tex] slope = \dfrac{8}{7} [/tex]

Step-by-step explanation:

(4, 6) and (-3, -2)

[tex] slope = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex] slope = \dfrac{-2 - 6}{-3 - 4} [/tex]

[tex] slope = \dfrac{-8}{-7} [/tex]

[tex] slope = \dfrac{8}{7} [/tex]

Answer:

24

Step-by-step explanation:

You can use a simple equation for this:

c=chickens, r=roosters

c=10+2r, as "chickens is TEN MORE than TWICE the number of roosters,"

we can then do;

10+2r+r (the original number of roosters)=31

3r=21

r=7

BUT, WE'RE NOT LOOKING FOR ROOSTERS!

10+2r=24

24.4 mL

By converting mm to cm, we get

1 mm = 1/10 cm

18 mm = 18/10 cm

radius (r) = 1.8 cm

To find the volume,

Volume of sphere = 4/3πr3

= 4/3π(1.8)3

Volume = 24.4 cm3

To find the capacity,

1 cm3 = 1 mL

Capacity = 24.4 mL

10.9

[tex]According\ to\ the\ question,\ we\ con\ spe\ that[/tex]

             [tex]\sin{40}[/tex]° [tex]=\frac{7}{x}[/tex]

                  [tex]x=\frac{7}{\sin{40degrees}}\\ x\approx 10.9[/tex]

I hope this helps you

:)

Answer:

[tex]\displaystyle 74,4[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x}{67} = cot\:42 \hookrightarrow 67cot\:42 = x \hookrightarrow 74,411038494... = x \\ \\ 74,4 ≈ x[/tex]

OR

[tex]\displaystyle \frac{67}{x} = tan\:42 \hookrightarrow xtan\:42 = 67 \hookrightarrow \frac{67}{tan\:47} = x \hookrightarrow 74,411038494... = x \\ \\ 74,4 ≈ x[/tex]

Information on trigonometric ratios

[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]

I am joyous to assist you at any time.

Step-by-step explanation:

I don't have that much time to wait for all the clarifications, so I will make some assumptions based on what I saw in your comments so far.

please change the numbers in the calculation (and the recalculate) as necessary :

we are dealing with a triangular prism that acts as a ramp.

triangular means that the sides are in the shape of triangles.

but the front, the back and also the bottom areas are rectangles.

the area of a rectangle is length×width.

the area of a triangle is baseline×height/2

since it is supposed to be a ramp, I assume the triangle shape of the sides is right-angled. that means the back side of the ramp is standing straight up (90° angle with the bottom).

the height of the ramp is the height of the triangle side areas, and is simply the left leg of the triangle (again, going straight up with a 90° angle to the baseline).

I understand the height is 14 in.

I assume the front length is 50 in. and the depth of the ramp (the length of the baseline of the triangular sides) is 48 in.

now we get the length of the inclined "front" leg of the side triangles via Pythagoras

c² = a² + b²

with c being the side opposite of the 90° angle (exactly the inclined leg we are looking for) :

c² = 14² + 48² = 196 + 2304 = 2500

c = 50 in

that means our front rectangle of the ramp is actually a square of 50in × 50in.

the entire ramp is to be painted. that means really every side, including the bottom.

so, the whole surface area is the sum of the individual areas.

we have

1 (inclined) front area 50in × 50in

1 back side (straight up) 50in × 14in

1 bottom area 50in × 48in

2 side triangles 48in × 14in / 2 = 48in × 14in

so, we get as total area

50×50 = 2500 in²

50×14 = 700 in²

50×48 = 2400 in²

48×14 = 672 in²

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

6272 in²

now, one can of spray paint can cover 2000 in².

that means we need

6272 / 2000 = 3.136 cans.

and since we cannot buy fractions of cans, we need to round up.

we need 4 cans to do the painting job.

Answer:

13 is 41.9 percent of 31

13/31*100=41.9

The function [tex]f(x) = 4\sqrt[3]{x}[/tex] is a cube root function

The function end behavior is:

[tex]\quad \mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty[/tex]

The equation of the function is given as:

[tex]f(x) = 4\sqrt[3]{x}[/tex]

To determine the end behavior, we plot the graph of the function f(x).

From the attached graph of the function, we can see that:

As x approaches infinity, the function f(x) approaches infinity, and vice versa

Hence, the function end behavior is:

[tex]\quad \mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty[/tex]

Read more about function end behavior at:

https://brainly.com/question/23968442

Let that be x

[tex]\\ \rm\rightarrowtail tan\theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\\ \rm\rightarrowtail tan20=\dfrac{x}{10}[/tex]

[tex]\\ \rm\rightarrowtail 0.364=\dfrac{x}{10}[/tex]

[tex]\\ \rm\rightarrowtail x=10(0.364)[/tex]

[tex]\\ \rm\rightarrowtail x=3.64mi[/tex]

Answer:

[tex]\displaystyle 4\:mi.[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{10}{h} = cot\:20 \hookrightarrow 10 = hcot\:20 \hookrightarrow \frac{10}{cot\:20} = h; 3,6397023427... \\ \\ \boxed{4 \approx h}[/tex]

OR

[tex]\displaystyle \frac{h}{10} = tan\:20 \hookrightarrow 10tan\:20 = h; 3,6397023427... \\ \\ \boxed{4 \approx h}[/tex]

I am joyous to assist you at any time.

Step-by-step explanation:

the volume of a cone is

ground area × height / 3

and the ground area is a circle.

so,

pi×r²×h/3

with r being the radius (half the diameter) and h being the height.

therefore, we get

pi×(12/2)²×11/3 = pi×6²×11/3 = pi×12×11 = 132pi =

= 414.6902303... m³

Answer:

Sure!

Step-by-step explanation:

So a radical(or a root) is the opposite of the exponent(for example square root is the opposite of the square of a number). Graphically it's not but it's more simple to think of it like that. Simplifying integer radicals is simple. For example, the square of 11 is 121, so sqr121 (√121) is equal to 11. Other radicals/powers are similar. cuberoot27= 3 because 3^3 is 27. If you add variables, the same thing happens. You can think of the √ as a funnel where only the numbers "big enough" can leave. If you have √xy^2z^3,

the x would have to stay because it's only to the first power, the √y^2 would be reduced to just y, and one pair of zs can come out resulting in z√z. The final answer to √xy^2z^3 would be yz√xz. Hope that helps :)

Answer:

55

Step-by-step explanation:

This is the Fibonacci sequence! Filling out the rest of the numbers, 55 is the 11th number in this sequence.

Answer:

4(4x + 5)

Step-by-step explanation:

4 goes into both 16 and 20.

4×4 is 16 and

4×5 is 20.

When factoring you put the nunber you factored out typically, in front. Then the remaining factor goes in a set of parenthesis.

This is like undoing distributive property.

16x + 20

= 4(4x+5)

Take 2 common

Again take two common

Simplify

Done

Answer:

12.5x =10x+10

12.50x=x10+10

subtract 10x from both sides

2.5x=10

divide by 2.5

x=4

We can conclude that the reasonable slope of a model that fits the given data is: C. 1.

Slope = change in y/change in x.

To find the slope of that fits the data, pick any two points on the scatter plot, say, (12, 1985) and (16, 1988)

Slope = (1988 - 1985)/(16 - 12) = 0.75 ≈ 1.

Therefore, we can conclude that the reasonable slope of a model that fits the given data is: C. 1.

Learn more about slope on:

https://brainly.com/question/3493733

Answer:

5/26

Step-by-step explanation:

There are 26 letters in the english alphabet then out of that 26 there are 5 vowels so the probability is 5/26

Answer: sqrt(182)

Step-by-step explanation:

Answer:

Step-by-step explanation:

3(21) + 4b = 200

63 + 4b = 200

4b = 200 - 63

4b = 137

b = 137/4

b = 34.25...so each bracelet (b) costs $ 34.25

Answer:

I'm not sure I understand the formatting.  I don't know what the x is supposed to be for the middle term (-x(2.2x10^6)), so I dropped the x for the calculation.  I also assumed all terms are to be added.  If these assumptioons are correct, the answer is:

4.58012 x 10^8 or 4.6x10^8  (see below)

Step-by-step explanation:

(4.8x10^8) - (2.2x10^6) + 1.2x10^4

(4.8x10^8) - (0.022x10^8) + (0.00012x10^8)

 4.8

-0.22

+0.00012

4.58012

4.58012 x 10^8

There are only 2 significant digits (2.8x10^8) so if this is an answer relating to a scientific measurement, it would need to rounded to simply 4.6x10^8.