Write 6/7 as a decimal rounded to the nearest hundredth

Answer:

a = 3[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan60° = [tex]\sqrt{3}[/tex] , then

tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{a}{3\sqrt{2} }[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by 3[tex]\sqrt{2}[/tex] )

a = 3[tex]\sqrt{2}[/tex] × [tex]\sqrt{3}[/tex] = 3[tex]\sqrt{6}[/tex]

Answer:

The vertex is (-5, -2)

Step-by-step explanation:

y = 2(x + 5)^2 - 2

The vertex form of a parabola is

y =a(x-h)^2 +k  where (h,k) is the vertex

y = 2(x  -  -5)^2 - 2

The vertex is (-5, -2)

Answer:

7

Step-by-step explanation:

You can convert the fourth square roots to [tex]7^{\frac{1}{4}}} * 7^{\frac{1}{4}}} * 7^{\frac{1}{4}}} * 7^{\frac{1}{4}}}[/tex]. Using the product of powers rule, we can add the four terms' exponents, resulting in [tex]7^1[/tex], which is 7.

Answer:

Step-by-step explanation:

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Have a Spanish Jury possibility[tex]= 0.40[/tex]

Jury member No. to be chosen[tex]= n= 12[/tex]

Hispanic Juror Expected [tex]= np = 12\times 0.40 = 4.8[/tex]

The jury group will be constituted by Hispanic Jurors [tex]4.8[/tex]

OR

The binomial distribution defines the behavior of a count variable X, provided:

There are a set number of data points n.

Set [tex]n=12[/tex]

Each perception is independent. This will not affect others if your first juror is selected

One of two results is that each observation ("success" or "failure"). English or not

Each result has the same chance of "success" p. for every [tex]p=0.40[/tex]

Well by the binomial distribution. Mean[tex]=E(x)=np=4.8[/tex]

Answer:

1

Step-by-step explanation:

I hope my answer is write

Answer:

285

Step-by-step explanation:

First, you would add 752 and 158. The sum is 910. Then, you subtract 625 and get 285.

Answer:

x = 25 , x = 136

Step-by-step explanation:

(15)

The opposite angles of a cyclic quadrilateral are supplementary , sum to 180°

3x + 105 = 180 ( subtract 105 from both sides )

3x = 75 ( divide both sides by 3 )

x = 25

(16)

The chord- chord angle is half the sum of the arcs intercepted by the angle and its vertical angle, then

x = [tex]\frac{1}{2}[/tex] (VW + UX) = [tex]\frac{1}{2}[/tex](115 + 157) = [tex]\frac{1}{2}[/tex] × 272 = 136

Answer:

0.1487

Step-by-step explanation:

From the table :

The total number of people living alone in the region = 31.6

The number of people living in the region who fall with the 25 - 34 age range is 4.7

Probability, P = required outcome / Total possible outcomes

P(range 25 - 34) = (number of people who fall within the 25 - 34 age range) / total population

P(range 25 - 34) = 4.7 / 31.6 = 0.1487

1.621 kN

Step-by-step explanation:

Let the centerline of the canal be the x-axis. Because the forces exerted by the horses are symmetric to the centerline, only the x-components of these forces contribute to the resultant force on the barge, i.e., the y-components cancel out. Each x-component is equal to [tex]F_x = 839\cos 15[/tex] = 810.4 N. Therefore, the resultant force on the barge is twice this:

[tex]F_{net} = 2(839\:\text{N})\cos 15 = 1620.8\:\text{N}[/tex]

[tex]= 1.621\:\text{kN}[/tex]

Answer: 5%

Step-by-step explanation: If there is one broken egg in each crate (1/20), you would change that to5%

And if there are ten crates, then you see how many eggs there a re total.

(10 × 20 = 200)

If there are 200 eggs and for every 20 eggs there is on broken one, then there will be 10 broken eggs total. or 10/200

convert the fraction to a decimal ( 10 ÷ 200 = .05)

then convert the decimal to a percent. .05 is equal to 5%

PLEAZE RATE BRAINLIEST!!!

Answer:

81/50

Step-by-step explanation:

=8/10+82/100

=8/10+41/50

=40+41/50

=81/50

Answer:

24cm

Step-by-step explanation:

Length = 8 × 3

= 24cm

hope it helps

Part 1: You can simplify [tex]a_n[/tex] to

[tex]\dfrac{3n+1}{3n}-\dfrac{3n}{3n+1} = \dfrac1{3n}+\dfrac1{3n+1}[/tex]

Presumably, the sequence starts at n = 1. It's easy to see that the sequence is strictly decreasing, since larger values of n make either fraction smaller.

(a) So, the sequence is bounded above by its first value,

[tex]|a_n| \le a_1 = \dfrac13+\dfrac14 = \boxed{\dfrac7{12}}[/tex]

(b) And because both fractions in [tex]a_n[/tex] converge to 0, while remaining positive for any natural number n, the sequence is bounded below by 0,

[tex]|a_n| \ge \boxed{0}[/tex]

(c) Finally, [tex]a_n[/tex] is bounded above and below, so it is a bounded sequence.

Part 2: Yes, [tex]a_n[/tex] is monotonic and strictly decreasing.

Part 3:

(a) I assume the choices are between convergent and divergent. Any monotonic and bounded sequence is convergent.

(b) Since [tex]a_n[/tex] is decreasing and bounded below by 0, its limit as n goes to infinity is 0.

Part 4:

(a) We have

[tex]\displaystyle \lim_{n\to\infty} \frac{10n^2+1}{n^2+n} = \lim_{n\to\infty}10+\frac1{n^2}}{1+\frac1n} = 10[/tex]

and the (-1)ⁿ makes this limit alternate between -10 and 10. So the sequence is bounded but clearly not monotonic, and hence divergent.

(b) Taking the limit gives

[tex]\displaystyle\lim_{n\to\infty}\frac{10n^3+1}{n^2+n} = \lim_{n\to\infty}\frac{10+\frac1{n^3}}{\frac1n+\frac1{n^2}} = \infty[/tex]

so the sequence is unbounded and divergent. It should also be easy to see or establish that the sequence is strictly increasing and thus monotonic.

For the next three, I'm guessing the options here are something to the effect of "does", "may", or "does not".

(c) may : the sequence in (a) demonstrates that a bounded sequence need not converge

(d) does not : a monotonic sequence has to be bounded in order to converge, otherwise it grows to ± infinity.

(e) does : this is true and is known as the monotone convergence theorem.

Answer:

Step-by-step explanation:

i assume that you mean

log X (25) = 7

which would be:

x power by 7 = 25, but it is wrong, so more clear questions please

The exponential equation is equivalent to this logarithmic equation is 5^9 = x, the correct option is A.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that;

I - log, 25 = 7

Now,

To convert a logarithmic equation to an exponential equation, we can use the following property:

[tex]log_b(x)[/tex] = y if and only if b^y = x

where b is the base of the logarithm, x is the argument of the logarithm, and y is the value of the logarithm. In this case, the base of both logarithms is 5, so we can apply this property to both sides of the equation. We get:

[tex]log_5(x) - log_5(25) = 75^(log_5(x) - log_5(25)) = 5^7[/tex]

Using another property of logarithms, we can rewrite the left-hand side as:

[tex]5^(log_5(x/25)) = 5^7[/tex]

Using the property of exponents and logarithms again, we can simplify the left-hand side as:

x/25 = 5^7

Multiplying both sides by 25, we get:

x = 25 * 5^7

x = 25 * 78125

x = 1953125

Therefore, by the given equation the answer will be 5^9 = x.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ7

Answer:

$140

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Simple Interest Rate Formula: [tex]\displaystyle A = P(1 + rt)[/tex]

Step-by-step explanation:

Step 1: Define

Identify variables

P = 100

r = 4% = 0.04

t = 10

Step 2: Find Interest

Answer:

Can we see the picture?

Step-by-step explanation:

Answer:

29/4

Step-by-step explanation:

convert to improper fraction

Answer:

-3

Step-by-step explanation:

since the lines are parallel, they have the same slope because they never intersect

Answer:

See Below.

Step-by-step explanation:

We want to show that the function:

[tex]f(x) = e^x - e^{-x}[/tex]

Increases for all values of x.

A function is increasing whenever its derivative is positive.

So, find the derivative of our function:

[tex]\displaystyle f'(x) = \frac{d}{dx}\left[e^x - e^{-x}\right][/tex]

Differentiate:

[tex]\displaystyle f'(x) = e^x - (-e^{-x})[/tex]

Simplify:

[tex]f'(x) = e^x+e^{-x}[/tex]

Since eˣ is always greater than zero and e⁻ˣ is also always greater than zero, f'(x) is always positive. Hence, the original function increases for all values of x.

Answer:

Here you go

Ans is in pictures.

Answer:

-2/3

Step-by-step explanation:

Well you would use slope-intercept formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. Then you need to plug in your numbers so it would look like [tex]\frac{5-3}{-2-1}[/tex]. then it would look like [tex]\frac{2}{-3}[/tex] and that would be your m. The next step would be to

Answer:

A. 3/2

Step-by-step explanation:

I like to think of it as shift left or right by the numerator and shift up or down by the denominator. So I go over three and up two from (-3, -1) to reach (0, 1)

Answer:

3divided by 2 I think...

Answer:

20

Step-by-step explanation:

The diagonal of a rectangle can be found using the formula:

[tex]\sqrt{(l^2 + w^2)}[/tex]

Step-by-step explanation:

100% = $70.99

there is a discount of 25%.

that means 75% (100 - 25) of the original price remains.

the equation to get any x% amount of a 100% total is simply

x% amount = 100% total amount × x/100

25% = 70.99 × 25/100 = $17.75

Answer: 4,170

Step-by-step explanation:

[tex]\displaystyle\ \Large \boldsymbol{} log_2 18=log_2 \ 2+log_2 \ 9=1+3,16\underline99 \approax \approx4,170[/tex]

Answer:

3/6 for the probability of getting and odd number and 2/6 for rolling higher than the number 4

Step-by-step explanation:

Answer:

6/36  or 1/6 chance.

Step-by-step explanation:

dice roll one has the same numerator as dice roll two

As it acts the same as replaced from a marble bag.

Therefore, we show;

odd numbers on a die =  1, 3,5  = 3

= 3/6 = 1/2

and we show;

numbers higher than 4  = 5, 6 = 2

= 2/6  = 1/3

3/6 x 2/6 = 6/36 = 1/6

The reasons why its so low is that for one dice is is 1/3 chance and for the other dice it is 1/2 chance but to get them in order it reduces again by 2/3 the opposite and by 1/2 the opposite for apposing such result.

Answer:

A

Step-by-step explanation:

The answer is A because the systems of inequalities are plotted correctly like A shows.

Domain={-5,4}

Range={-3,4}

Answer:

The z-test statistic for this hypothesis test is [tex]z = 4.33[/tex]

Step-by-step explanation:

Proportion in 2000:

10 of the 50 men were obese, so:

[tex]p = \frac{10}{50} = 0.2[/tex]

Test if it has increased:

At the null hypothesis, we test if the prevalence of obesity has not increased, that is, the proportion is of 0.2 or less, so:

[tex]H_0: p \leq 0.2[/tex]

At the alternative hypothesis, we test if this prevalence has increased, that is, the proportion is above 0.2. So

[tex]H_1: p > 0.2[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.2 is tested at the null hypothesis:

This means that [tex]\mu = 0.2, \sigma = \sqrt{0.2(1-0.2)} = 0.4[/tex]

30 out of the 75 men from 2010 were assigned as obese.

This means that [tex]n = 75, X = \frac{30}{75} = 0.4[/tex]

Value of the z-test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.4 - 0.2}{\frac{0.4}{\sqrt{75}}}[/tex]

[tex]z = 4.33[/tex]

The z-test statistic for this hypothesis test is [tex]z = 4.33[/tex]