Find X on the figure shown

Answer:

0.481, 0.487653287..,. and 0.48953

Step-by-step explanation:

There is no way I could know what numbers Carl has writen because there is an uncountably infinite number of numbers Carl could have written. But if I had to guess it would be 0.481, 0.487653287... and 0.48953

Answer:

See below for solution.

Step-by-step explanation:

[tex]Q13)[/tex] [tex]\frac{\sqrt{11} - \sqrt{5} }{\sqrt{11}+\sqrt{5} }[/tex] = [tex]x - y\sqrt{55}[/tex]

LHS :-

= [tex]\frac{\sqrt{11} - \sqrt{5} (\sqrt{11}-\sqrt{5}) }{\sqrt{11}+\sqrt{5} (\sqrt{11}-\sqrt{5}) }[/tex]

= [tex]\frac{11-2\sqrt{55}+5 }{11 - 5}[/tex]

= [tex]\frac{16-2\sqrt{55} }{6}[/tex]

= [tex]\frac{2(8-\sqrt{55}) }{2(3)}[/tex]

= [tex]\frac{8-\sqrt{55} }{3}[/tex]

=> x = 8/3 and y = 1/3

=> Option B

[tex]Q14)[/tex] [tex]\frac{4}{216^{-2/3} }[/tex] + [tex]\frac{1}{256^{-3/4} }[/tex] + [tex]\frac{2}{243^{-1/5} }[/tex]

= 4 x (∛216)² + ([tex]\sqrt[4]256}[/tex])³ + 2 x ([tex]\sqrt[5]{243}[/tex])

= 4 x 36 + 64 + 2 x 3

= 144 + 64 +6

= 144 + 70

= 214

Answer:

The circumference of the circle is 31.4 yd.

Step-by-step explanation:

From the question,

We are to determine the circumference of a circle whose diameter is 10 yd.

The formula for calculating the circumference of a circle in terms of diameter is given as

C = πd

Where C is the circumference

and d is the diameter

From the given information

d = 10 yd

and π = 3.14

Putting the parameters into the formula

We get,

C = 3.14 × 10

∴ C = 31.4 yd

Hence, the circumference of the circle is 31.4 yd.

Answer:

2500=100

**. =4

2500×4/100=100

100×12 because 1 year have 12 months

then 3×1200=3600

[tex]~~~~~~ \textit{Compound Interest Earned Amount}[/tex]

[tex]A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2500\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &3 \end{cases} \\\\\\ A=2500\left(1+\frac{0.04}{12}\right)^{12\cdot 3}\implies A=2500\left( \frac{301}{300} \right)^{36}\implies A\approx 2818.18[/tex]

Entering the values obtained from the data in the table based on the

given functions of y = a·x + b, and y = a·|x| + b, we have;

(1) y = -0.0614·x + 1.58772

(2) y = 0.3824·x + 0.91168

The least squares regression formula is presented as follows;

[tex]a = \mathbf{\dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }}[/tex]

(1) From the data in the table, and by using MS Excel, we have;

[tex]\overline x[/tex] = -0.2

[tex]\overline y[/tex] = 1.6

[tex]\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right)[/tex] = -1.4

[tex]\sum \left(x_i - \bar x\right )^2[/tex] = 22.8

Which gives;

[tex]a = \dfrac{-1.4}{22.8 } \approx \mathbf{-0.0614}[/tex]

1.6 ≈ b - 0.0614 × (-0.2)

b = 1.6 -  0.0614 × (0.2) = 1.58772

The equation of best fit for the function, y = a·x + b, is therefore;

(2) For the function, y = a·|x| + b, we have;

[tex]\overline x[/tex] = 1.8

[tex]\overline y[/tex] = 1.6

[tex]\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right)[/tex] = 2.6

[tex]\sum \left(x_i - \bar x\right )^2[/tex] = 6.8

Which gives;

[tex]a = \dfrac{2.6}{6.8} \approx \mathbf{0.3824}[/tex]

1.6 ≈ b + 0.3824 × (1.8)

b = 1.6 -  0.3824 × (1.8) = 0.91168

The equation of best fit for the function, y = a·|x| + b, is therefore;

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Answer:

for your I'm pretty sure that it's 34

Answer:

B. Brent

Step-by-step explanation:

       Let us turn the Session 2 scores into fractions so we have common units.

(John) 52% -> [tex]\frac{52}{100}[/tex]

(Alexis) 57.5% ->  [tex]\frac{575}{1000}[/tex]

(Brent) 39.5% ->  [tex]\frac{395}{1000}[/tex]

       Now, we can simplify them.

(John I divide by 2)  [tex]\frac{52}{100}[/tex] -> [tex]\frac{26}{50}=\frac{13}{25}[/tex]

(Alexis, I divided by 5) [tex]\frac{575}{1000}[/tex] -> [tex]\frac{115}{200} =\frac{23}{40}[/tex]

(Brent, I divided by 5)  [tex]\frac{395}{1000}[/tex] -> [tex]\frac{79}{200}[/tex]

       Now subtract Session 2 from Session 1 for each and figure out which one is the largest to answer the question.

(John) [tex]\frac{2}{3}[/tex] - [tex]\frac{13}{25}[/tex] = [tex]\frac{11}{75}[/tex] or about 0.146667

(Alexis) [tex]\frac{11}{20}[/tex] - [tex]\frac{23}{40}[/tex] = [tex]\frac{-1}{40}[/tex] or -0.025

(Brent) [tex]\frac{7}{10}[/tex] - [tex]\frac{79}{200}[/tex] = [tex]\frac{61}{200}[/tex] or 0.305

       Since the absolute value of 0.305 is greatest, B. Brent has the largest success rate change.

first process is used in this expression

Answer:

75

Step-by-step explanation:

The lines l and m are already parallel so in order for that to be correct the measure of angle x would be 75 degrees :)

Answer:

D

Step-by-step explanation:

Answer:

Here you go! I  hope this helps

a) (6(3))+4-(3(7))

answer: 1

b) 4(7-3)2+1 =

answer: 33

c) 7^2+5(3)−6

answer: 58

Answer: Arithmetic Sequence

The nth term formula is  [tex]a_n = -15,000n + 365,000[/tex]

Delete the commas if needed.

=======================================================

Explanation:

Subtract each adjacent term like this

Each time we get -15,000 which is the common difference and helps show we have an arithmetic sequence.

The nth term formula can be found following these steps.

[tex]a_n = a + d(n-1)\\\\a_n = 350,000 + (-15,000)(n-1)\\\\a_n = 350,000 - 15,000n + 15,000\\\\a_n = -15,000n + 365,000\\\\[/tex]

If we plugged in n = 1, then we'd get,

[tex]a_n = -15,000n + 365,000\\\\a_1 = -15,000(1) + 365,000\\\\a_1 = -15,000 + 365,000\\\\a_1 = 350,000\\\\[/tex]

Showing the first term is $350,000 which is the initial value of the house.

I'll let you try the other values of n.

Plugging in n = 2 would lead to [tex]a_2 = 335,000[/tex]

Plugging in n = 3 would lead to [tex]a_3 = 320,000[/tex]

Answer:

slope = 4

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (3, 10) ← 2 ordered pairs from the table

m = [tex]\frac{10-2}{3-1}[/tex] = [tex]\frac{8}{2}[/tex] = 4

The answer is the last one. The one with (-60,0) (0,80) and (60,0)

Answer:

Step-by-step explanation:

Givens

C = 2*pi*r

C = pi*d

C = 125.6

r = d/2

Solution

C = pi *d

125.6 = 3.14 * d           Divide both sides by 3.14

125.6/3.14 = d

d = 40

You can use 1 of 2 methods to get the radius

The easiest one is use

r = d/2

r = 40/2

r = 20

Answer:

258.9894 is the total surface area

Answer:

10 years after 1990 (or in the year 2000) there are 110.3 million people who own cell phones.

Step-by-step explanation:

t= 10 years after 1990.

We are given that f(t) is # of people in millions who own cell phones.

f(10) = 110.3 implies in 10 years after 1990, there are 110.3 million people who owned cell phones.

Given that,
Let f (t) be the number of people, in millions, who own cell phones t years after 1990.  To explain the meaning of the following statement, f (10) = 110.3

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
f (t) be the number of people, in millions, who own cell phones t years after 1990.

f(10) = 110.3
Implies,
In 10 years after 1990, there are 110.3 million people who owned cell phones.

Thus, f(10) = 110.3 implies in 10 years after 1990, there are 110.3 million people who owned cell phones.

Learn more about function here:

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Answer:

14.3

Step-by-step explanation:

72 divided by 3 equals 24, so we have 24 feet.

1 yard equals 3 feet.

3 yards equal 9 feet.

24+9= 43.

43 feet equal 14.3

Hope this helps! Sorry if it doesn't :(

Answer:

78 yards

Step-by-step explanation:

the perimeter is the outside of the shape, right? so you find the perimeter by adding all of the sides together.

if a rectangle's length is going up by 3, that means one pair of parallel sides are having 3 yards added to them. so essentially you have to add 3 yards twice

hopefully that makes sense! please consider brainliest! :)

(I need one more to move up a rank lol)

Answer:

7.5 mph

Step-by-step explanation:

Answer:The answer Is C

Step-by-step explanation:

Acute

The triangle is shown an Acute triangle.

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Angles are,

60°

60°

60°

Clearly, All angles are less than 90 degree.

Hence, The triangle is shown an Acute triangle.

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Answer:

2% 2% of the nation's children (about 1.7 million) have a parent who is in jail or prison.

Answer:

Okay so all you need to know is the percentage of the hydrogen peroxide.
We know that the total solution is 400 ml and the hydrogen peroxide solution is 8ml.
8/400

Percent means out of a hundred, this can go multiple ways.

Way #1, benchmarking.

So 8/400 simplified is 1/50 or 2/100.
1/50 is basically 2/100.

And percent means out of a hundred so 2/100 is basically 2percent.

Way #2, proportions

We want to know the percentage of hydrogen/ fabric dye

If you put it in numbers int he same fraction and put “x” as the unknown 8ml hydrogen peroxide solution you’d get.

8/400 = x/100
X/100 because percent means out of a hundred.
Now solve3

Cross multiply,

800 = 400x
divide 400 on both sides

2=x

Now plug it back in the proportion.

8/400 = 2/100

If you simplify to check if they are equal then it’s correct

Answer:

Solution for Divide the number of meters by to find the number of laps. Runners 3 4 Number of Laps 4. 8 12 Number of Meters 1600 3200 4800 6400 de the…

Step-by-step explanation:

Answer:

Stem and leaf plot.

Step-by-step explanation:

The stem and leaf plot is the most appropriate way because it has lots of different values, and they can be grouped according to their tens place. Also, a line graph would have too many values in this situation to be feasible.

Answer: Answer C and D

Equations:

A. 4+4+4+4 | 16 = 4 | 1+1+1+1

B. 4+4+4+4 | 16 = 1

C. 4+1+1 | 6 = 6 | 1+1+1+1+1+1

D. 4+4 | 8 = 8 | 1+1+1+1+1+1+1+1

Mark as brainliest if this helps! :)

Answer:

The equation of the circle with centre (5, 6) and radius = 3 is x2 +y2 - 10x - 12y + 52 = 0.

I believe this is the answer.