sum of series 1 +1/3 +1/3².... is?​

Answer:22

Step by step explanation:

add them all and the Complete angle a triangle can hold is 180

So we add all angles=158 hence 180-158=22

:)

Answer:

choice 1) ∠ABD = 22°

Step-by-step explanation:

∠ABD = 180° - 56° - 49° - 53° = 22°

Answer:

-3

Step-by-step explanation:

1.2 + x = -1.8

subtract 1.2 from each side of the equation:

x = -3

Answer:

Amount of  vinegar. 100% : 20 milliliters

Amount of  Italian dressing: 140 milliliters

Step-by-step explanation:

Let's call A the amount of  vinegar. 100%

Let's call B the amount of  Italian dressing . 12% vinegar

The resulting mixture should have 23%  vinegar, and 160 milliliters.

Then we know that the total amount of mixture will be:

Then the total amount of pure antifreeze in the mixture will be:

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -1 and add it to the second equation:  We substitute the value of B into one of the two equations and solve for A.

Answer:

0.36

Step-by-step explanation:

R=36

B=24

total=100

probability that its red =36/100

Answer:

(-5, -30)

Step-by-step explanation:

We start with the equation:

y = 6x

y = -4x - 50

Since both of them are equal to y, we can substitute the 6x into y. So:

6x = -4x - 50

Now we can solve for x. Add 4x to both sides...

6x = -4x - 50

+4x   +4x

10x = -50

Now, divide both sides by 10.

10x = -50

10      10

x = -5

So, we now know that x is -5. Now we know this, we can substitute -5 where we see x. It works in both equations, so I will do both.

y = 6(-5)

y = -30

And...

y = -4(-5) - 50

y = 20 - 50

y = -30

As you can see, both equations show that y = -30. To check our work, let's plug in the values.

-30 = 6(-5)

-30 = -30

Also:

-30 = -4(-5) - 50

-30 = -20 - 50

-30 = -30

So, we can see that both of the equations gave us the same answer. So, our answer is x = -5 and y = -30, so the ordered pair is: (-5, -30). Hope this helps you!

Answer:

[tex]\displaystyle \frac{dy}{dx} = 2x[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Derivative Property [Addition/Subtraction]:                                                         [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]  

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = x^2 - 3[/tex]

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Answer:

SA=528 cm²

Step-by-step explanation:

[tex]SA=2(\frac{1}{2} )(16)(6)\\\\+2(10)(12)\\\\+16(12)\\\\SA=528 cm^{2}[/tex]

hope it helps

have a great day!!

Answer:

its 1881

Step-by-step explanation:

banakz akaknsz a a

Answer:

0.877 but rounded it will be 0.88

Answer:

Step-by-step explanation:

no cause 2/10 is the same as 20/100

m<QRS = 80 degrees.

Supplementary angles = a total of 180 degrees. So if angle ABC = 100, angle QRS would = 80 degrees.

Please mark as brainliest :D

Answer:

Solution given:

<ABC+<QRS=180°[supplementary]

<QRS=180°-100°

<QRS=80° is your answer

Answer:

in the 1 one of you choice

Step-by-step explanation:

Answer:

60% are girls

60% of 40=6*40=24

Step-by-step explanation: Hope this help :D

Answer:

6.3

Step-by-step explanation:

99(.07)=6.3

original price was 92.7 + 6.3 gives you 99

Answer:

The correct answer is B.

Step-by-step explanation:

V=whl=1.5·2·5=15

Answer:

B. 15 ft.3

Step-by-step explanation:

multiply all the measurements to find the volume :)

Answer:

The radius should be 0.5

Step-by-step explanation:

Answer:

B. Regular

Step-by-step explanation:

Answer:

option B

Regular

hope it helps

Answer:

0.1056 = 10.56% probability that their average salary is more than $77,500.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean $75,000 and standard deviation $8,000.

This means that [tex]\mu = 75000, \sigma = 8000[/tex]

Sample of 16

This means that [tex]n = 16, s = \frac{8000}{\sqrt{16}} = 2000[/tex]

What is the probability that their average salary is more than $77,500?

This is 1 subtracted by the pvalue of Z when X = 77500. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{77500 - 75000}{2000}[/tex]

[tex]Z = 1.25[/tex]

[tex]Z = 1.25[/tex] has a pvalue of 0.8944

1 - 0.8944 = 0.1056

0.1056 = 10.56% probability that their average salary is more than $77,500.

Answer:

C

Step-by-step explanation:

Angie already has a fixed number of antiques - 4213 antiques. the rate of increase of ducks would depend on the number of weekends. this is the variable number of antiques

thus the equation is :

y = 4213 + 3x

Answer:

My best guess would be 19.5

Step-by-step explanation:

I asked go ogle

and

thats

all

I

could

find

hope

this

helps!

Answer:

Y=6

Step-by-step explanation:

Y=kx

k=3

Y=3x=3(2)=6

Answer:

the first one

the first one Step-by-step explanation:

the first one Step-by-step explanation:from the formula Un =ar^n-1

where a is 2

where a is 2 r = 20/2=10

where a is 2 r = 20/2=10 so Un= 10×2^n-1

that's all.....have fun

Answer:

C.)  an =1/5 * 10n-1

Step-by-step explanation:

D.) is out of the question just at first look.
A.) is irregular to the sequence, giving you the wrong outputs.
B.) is also irregular to the sequence.

Leaveing your answer...

Answer:

A)0

just did test on edge

Step-by-step explanation:

Answer:

9 x 10^12

Step-by-step explanation:

for multiplying scientific notation, you multiply the numbers (3 x 3) and add the exponents together (6 + 6) to get 9 x 10^12

Answer:

im pretty sure its D :) hope this helps you out.

Answer:

<

Step-by-step explanation:

I used a scientific calculator, 2² is 4 and when I take 4.7 × 10-³ minus 4 the answer is negative, so I'm guessing that it's a number less than 4.

Again, I haven't learned this yet since I'm 12 so it might be wrong.

Answer:

Piece of wood 2

Step-by-step explanation:

Because he have to cut only 0,06 cm

Answer:a

Step-by-step explanation:

The point (-2, -6) lies on the graph of a function f(x) if the f(x) = 3x^3 + 8x^2 + 5x – 4 divided by x + 2 and found the remainder was r = -6 option fourth is correct.

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

Let's suppose the divisor is Q

Then from the remainder theorem:

f(x) = (x+2)Q -6

[tex]\rm 3x^3+8x^2+5x-4=(x+2)Q-6[/tex]

If we put x = -2, then

[tex]\rm 3(-2)^3+8(-2)^2+5(-2)-4=(-2+2)Q-6[/tex]

[tex]\rm 3\times-8+8\times4-10-4=-6[/tex]

-24 + 32 -10 -4 = -6

-6 = -6

It means (-2, -6) lies on the function(also refer the graph of the function)

Thus, the point (-2, -6) lies on the graph of a function f(x) if the f(x) = 3x^3 + 8x^2 + 5x – 4 divided by x + 2 and found the remainder was r = -6 option fourth is correct.

Learn more about Polynomial here:

brainly.com/question/17822016

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