Determine which number is the solution of the inequality: f + 2 < 9

Answer:0.16666

Step-by-step explanation:

As we know that

Therefore, 1/6 or 0.16666... can be written rounding off to three decimal digits such as: 0.1666... 0.167  (rounding off to three decimal digits)

Answer:

6 5/8

Step-by-step explanation:

Answer:

it equals 29/8 you can also write it as 3 5/8

Step-by-step explanation:

first you would convert the mixed fraction to 13/4 then add te two fractions. i hope this helps

Answer:

Step-by-step explanation:

0.1     ;-;

Answer:

75

Step-by-step explanation:

The sum of internal angles in a triangle is equal to 180

58 + 47 + x = 180

105 + x = 180 subtract 105 from both sides

x = 75

This is an acute triangle so each angle has to be less than 90 degrees in total we already have 105 and then lastly you can find out the last angle is kind of the same angle of angle 58 so its closer to 58 than 47 this is just a clue to the answer because I cant measure the angle from over the screen.

Answer:

81 degrees

Step-by-step explanation:

Applying the inscribed angle theorem, the measure of ∠EAB is: 81°.

The inscribed angle theorem states that an intercepted arc measure is always twice the measure of the inscribed angle in a circle.

Given the following:

We would therefore have the following:

1/2(ADB) = m∠EAB

Substitute

1/2(162) = m∠EAB

m∠EAB = 81°

Therefore, applying the inscribed angle theorem, the measure of ∠EAB is: 81°.

Learn more about the inscribed angle theorem on:

https://brainly.com/question/5436956

Answer:

A

Step-by-step explanation:

First notice that the sing does not have a line under it so its an open circle then the line is pointing to right. Your Welcome

Answer:

41.81

Step-by-step explanation:

∠B = arcsin(b·sin(A)a)

= 0.72973 rad = 41.81° = 41°48'37"

∠C = 180° - A - B = 0.84107 rad = 48.19° = 48°11'23"

c = a·sin(C)sin(A)=4.47214 = 2√5

Given:

Radius of the cone = 6

Slant height of the cone = 10

To find:

The lateral area, surface area and volume of the cone.

Solution:

Let h be the height of the cone. By Pythagoras theorem, we get

[tex]10^2=(6)^2+h^2[/tex]

[tex]100=36+h^2[/tex]

[tex]100-36=h^2[/tex]

[tex]64=h^2[/tex]

Taking square root on both sides, we get

[tex]\sqrt{64}=h[/tex]

[tex]8=h[/tex]

The lateral area of a cone is:

[tex]A_L=\pi rl[/tex]

[tex]A_L=\pi (6)(8)[/tex]

[tex]A_L=48\pi[/tex]

The surface area of a cone is:

[tex]A_S=\pi rl+\pi r^2[/tex]

[tex]A_S=\pi (6)(8)+\pi (6)^2[/tex]

[tex]A_S=48\pi +36\pi[/tex]

[tex]A_S=84\pi[/tex]

Volume of cone is:

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

[tex]V=\dfrac{1}{3}\pi (6)^2(8)[/tex]

[tex]V=\dfrac{288}{3}\pi [/tex]

[tex]V=96\pi [/tex]

Therefore, the lateral area of a cone is [tex]48\pi[/tex] sq. units, the surface area of a cone is [tex]84\pi[/tex] sq. units and the volume of the cone is [tex]96\pi[/tex] cubic units.

Answer:

99.9973 %

Step-by-step explanation:

This is a binomial probability distribution.

Since the probability of satisfactory welds = 97% = 0.97 and the probability of defective welds = 3% = 0.03.

Since there are 3 welds and we require at least one being defective, our binomial probability is

P(x ≥ 1) = 1 - P(x ≤ 0) = 1 - P(0) = 1 - ³C₀(0.03)³(0.97)⁰ = 1 - 1 × ‭0.000027‬ × 1 = 1 - 0.000027 = 0.99997‬3 × 100% = 99.9973%

Answer:

QUESTION:

If you throw a six-sided number cube. then how many times will I get a 7

ANSWER:

This is a tricked question. You will never roll a 7 on a six-sided numbered cube unless you have 2 dice.

Step-by-step explanation:

Hope that this helps you out! :)      

If you have any questions please put them in the comment section below this answer.      

Have a great rest of your day/night!      

Please thank me on my profile if this answer has helped you.

Answer:

f(-6) = 30e+7 or 88.55

Step-by-step explanation:

First you want to plug in the -6 into the function getting you:

-5e(-6)+4+3

You can multiply the -5*-6=30

Then add 4+3 giving you 7

So the final answer is 30e+7

Recall the half-angle identity,

cos²(x/2) = (1 + cos(x))/2

The angle A terminates in the fourth quadrant, so 270° < A < 360°. Then the corresponding half-angle terminates in the second quadrant, since 135° < A/2 < 180°, so cos(A/2) < 0. This means

cos(A/2) = - √((1 + cos(A))/2) = -3/4

so that

sec(A/2) = 1/cos(A/2) = -4/3.

Answer:

Julieta mastered 85% of the exit tickets on the first try.

Step-by-step explanation:

Julieta mastered 17 of 20 total exit tickets

17 ÷ 20 = 0.85

0.85 = 85%

Answer:

-4 is the opposite of -1/4

Answer:

The correct answer is D)

Step-by-step explanation:

To find the volume of a sphere, you need to use the formula [tex]\frac{4}{3}\pi r^3[/tex]. Since the radius of the sphere is 7.5 inches, you can use that to solve the volume. [tex]\frac{4}{3}\pi *7.5^3[/tex] = [tex]\frac{4}{3}\pi *421.875[/tex] = [tex]562.5*\pi[/tex] ≈ [tex]1767.15in^3[/tex], which is closest to [tex]1767.21in^3[/tex], so that is the correct answer.

Answer:

The answer would be 5/100 or 1/20 in it's simplest form

Step-by-step explanation:

So let's say you have only 5% of a pie and the rest of your family gets the rest, if you put that in a form of a fraction, the answer would be 5 over 100 (5/100). But if you simplify, the answer would be 1/20 since 5 goes into 5 once and 20 goes into 100 5 times.

Ignore the messy writing, i was in a hurry.

Answer:

b

Step-by-step explanation:

Answer: 6.30

Step-by-step explanation:

4 and below let it go, five and above give it a shove

The 5 in the thousandths place tells us that we need to raise the 9 in the hundredths place to 10, so we have to carry the 1 to the tenths place and add 2 + 1

6.295

6.30

Answer: no their is not a number that comes before the value

Step-by-step explanation:

Answer:

Slope= -1/2

y-intercept= 2/3

Answer:

24

Step-by-step explanation:

12 + 4(3)

24

Answer:

[tex]4 \times {3}^{3} + 4 \times 3 \\ 108 + 12 \\ = 120[/tex]

Answer:

43.98

Step-by-step explanation:

Answer:

The chart is showing how much many is in each persons piggy bank.

Step-by-step explanation:

Just a heads up , The title at the top of the graph gives off all the answers as to what the graph is showing.

Answer: 10.5

Step-by-step explanation:

C a l c u l a t o r

also I tried it myself so thats even more proof :D

Answer:

[tex]Concentration = 8.26kg/m^3[/tex]

Step-by-step explanation:

Given

  [tex]V = 440000L[/tex] --- volume of tank

[tex]m = 10,000 kg[/tex] --- solid mass

[tex]r = 40000L/hr[/tex] --- outflow rate  

Required

Determine the concentration at the end of 4 hours

First, calculate the amount of liquid that has been replaced at the end of the 4 hours.

[tex]Amount = r * Time[/tex]

[tex]Amount = 40000L/hr * 4hr[/tex]

[tex]Amount = 40000L * 4[/tex]

[tex]Amount = 160000L[/tex]

This implies that, over the 4 hours; The tank has 160000 liters of liquid out of 440000 liters were replaced

Calculate the ratio of the liquid replaced.

[tex]Ratio = \frac{Amount}{Volume}[/tex]

[tex]Ratio = \frac{160000L}{440000L}[/tex]

[tex]Ratio = \frac{16}{44}[/tex]

[tex]Ratio = \frac{4}{11}[/tex]

Next, calculate the amount of solid left.

[tex]Amount (Solid)= Ratio * m[/tex]

[tex]Amount (Solid)= \frac{4}{11} * 10000kg[/tex]

[tex]Amount (Solid)= \frac{40000}{11}kg[/tex]

[tex]Amount (Solid)= 3636kg[/tex]

Lastly, the concentration is calculated as:

[tex]Concentration = \frac{Amount (Solid)}{Volume}[/tex]

[tex]Concentration = \frac{3636kg}{440000L}[/tex]

Convert L to cubic meters

[tex]Concentration = \frac{3636kg}{440000* 0.001m^3}[/tex]

[tex]Concentration = \frac{3636kg}{440m^3}[/tex]

[tex]Concentration = 8.26kg/m^3[/tex]

Answer:

She will pay $33,228 in interest over 15 years for a mortgage of $150,000 with an interest rate of 2.75%.  

By the time she pays off her mortgage in 15 years, she will have spent $183,228 total for her house.  

Step-by-step explanation:

(a) Extend the definition of f(x) to make it an even function f*(x),

[tex]f^*(x)=\begin{cases}0&\text{if }-2\le x<-1\\1&\text{if }0\le x\le1\\0&\text{if }1<x\le2\end{cases}[/tex]

and we take f* to be periodic over an interval of length P = 4. We compute the coefficients of the cosine series:

[tex]a_n = \displaystyle\frac2P \int_{-2}^2 f^*(x)\cos\left(\frac{2n\pi}Px\right)\,\mathrm dx = \frac{2\sin\left(\frac{n\pi}2\right)}{n\pi}[/tex]

Note that a₀ = 1 (you can compute the integral again without the cosine, or just take the limit as n -> 0). For all other even integers n, the numerator vanishes, so we split off the odd case for n = 2k - 1 :

[tex]a_{2k-1} = \dfrac{2\sin\left(\frac{(2k-1)\pi}2\right)}{(2k-1)\pi}[/tex]

Then the cosine series of f(x) is

[tex]\displaystyle \frac{a_0}2 + \sum_{k=1}^\infty a_{2k-1}\cos\left(\frac{(2k-1)\pi}2x\right)[/tex]

(b) For the sine series, you instead extend f(x) to an odd function f*(x),

[tex]f^*(x)=\begin{cases}-1&\text{if }-2\le x\le-1\\x&\text{if }-1<x<1\\1&\text{if }1\le x\le2\end{cases}[/tex]

Again, P = 4, and the coefficient of the sine series are given by

[tex]b_n = \displaystyle\frac2P\int_{-2}^2f^*(x)\sin\left(\frac{2n\pi}Px\right)\,\mathrm dx[/tex]

which we can again split into the even/odd cases,

[tex]b_{2k} = -\dfrac1{k\pi}[/tex]

[tex]b_{2k-1} = \dfrac{4(-1)^{k+1}+2(2k-1)\pi}{(2k-1)^2\pi^2}[/tex]

So the sine series is

[tex]\displaystyle \sum_{k=1}^\infty\left(b_{2k}\sin\left(k\pi x\right) + b_{2k-1}\sin\left(\frac{(2k-1)\pi}2x\right)\right)[/tex]

I've attached plots of the extended versions of f(x) along with the corresponding series up to degree 4.

Answer:

32/40

Step-by-step explanation:

4x8 and 4x10

Answer:

D

Step-by-step explanation:

Just go the opposite moves.

2 north, 3 west, 4 south.

North and south are the y, or second coordinate, and west is x, the first coordinate.

you end up with (2, 4), or D