Kinda been stuck on this one, someone pls let me know

Kinda Been Stuck On This One, Someone Pls Let Me Know

Answers

Answer 1

Answer:

255

Step-by-step explanation:

use calculator

Answer 2

Answer:

255

Step-by-step explanation:

∑ᵢ₌₁⁸ 2ⁱ⁻¹

Using brute force method:

S = 2⁰ + 2¹ + 2² + 2³ + 2⁴ + 2⁵ + 2⁶ + 2⁷

S = 1 + 2 + 4 + 8 + 16 + 32 + 64 + 128

S = 255

Using formula:

S = a₁ (1 − rⁿ) / (1 − r)

S = 1 (1 − 2⁸) / (1 − 2)

S = 255


Related Questions

What is the repeating digit in the decimal equivalent of 49?

Answers

Answer:

49/99

Step-by-step explanation:

I'm assuming you want to find the fraction that gives the decimal 0.494949...

If that is the case, the 49/99 is your answer.

Answer:

4

Step-by-step explanation:

The moon is 2.4 X 10^5 miles from Earth. Assume the speed of the fastest spacecraft is 3.6 X 10^4 miles per hour. How many hours would it take this spacecraft to fly to the moon from Earth? Write your answer in standard form, rounded to the nearest hour. The solution is

Answers

Answer: . x 10^5 miles from the earth. How long does it take light to from a source on earth to reach a reflector on the moon and then return to earth? The speed of light is 3.0 x 10^8 m/s. ... sec. to give us our final answer of 1.28 seconds (the time required for light to travel 2.4 x 105 miles). and the fastest spaceship goes 153,454 miles per hour

Step-by-step explanation:

The number of hours that should be taken to fly to the moon from Earth is 7 hours.

Given that

Distance between earth and moon is [tex]2.4 \times 10^5\ miles[/tex]The speed is [tex]3.6 \times 10^4\ miles\ per\ hour[/tex]

Now we know that

[tex]Time = \frac{Distance}{Speed} \\\\= \frac{2.4 \times 10^5 }{3.6 \times 10^4} \\\\= \frac{240}{36}[/tex]

= 6.66 hours

= 7 hours

Therefore we can conclude that The number of hours that should be taken to fly to the moon from Earth is 7 hours.

Learn more about the speed here: brainly.com/question/20131441

An anatomy teacher hypothesizes that the final grades in her class are distributed as 10% A's, 23% B's, 45% C's, 14% D's, and 8% F's. At the end of the semester, she has the following grades.
A 6
B 14
C 22
D 8
E 4
Test her claim at 5% significance level.

Answers

Answer:

At a plus or minus 5%

Her claim is wrong

Step-by-step explanation:

Ok..

Let's calculate the total amount of result first.

6 +14+22+8+4= 54.

Let's take the percentage of each.

For A

6/54= 0.11

11.1%

11.1%*5%= 10.5

For B

14/54

=0.25925

= 25.9%

25.9%*5%= 24.605

For C

22/54

0.4074

40.7%

40.7*5%= 42.73%

For D

8/54

= 0.148

14.8%

14.8%*5% = 14.06%

For E

4/54

= 0.074

= 7.4%

7.4%*5%=7.77%

But she suggested

10% A's, 23% B's, 45% C's, 14% D's, and 8% F's

Find the equation of the line given
the gradient
Parrallel to the line y= - 2x+4
point ( 1-3)

Answers

Answer:

y = -2x - 1

Step-by-step explanation:

Step 1: Find the parallel line

y = -2x + b

Step 2: Solve for b

-3 = -2(1) + b

-3 = -2 + b

b = -1

Step 3: Write parallel equation

y = -2x - 1

Lily is cutting a piece of yarn into 3 (three) pieces. The 2nd piece is 3 times as long as the 1st piece, while the 3rd piece is 6 centimeters longer than the 1st piece. When the yarn has a total length of 211 centimeters, calculate the length of the first piece.

Answers

Answer:

The length of the first piece = 41 cm

Step-by-step explanation:

Let the length of the first piece = a

Let the length of the second piece = b

Let the length of the third piece = c

we are given the following:

b = 3a . . . . . (1)     (The 2nd piece is 3 times as long as the 1st piece)

c = 6 + a  . . . . (2)    (the 3rd piece is 6 centimeters longer than the 1st piece)

a + b + c = 211 . . . . . (3)    (  the yarn has a total length of 211 centimeters)

Next, let us eliminate two variables, and this can easily be done by substituting the values of b and c in equations 1 and 2 into equation 3. this is done as follows:

a + b + c = 211

a + (3a) + (6 + a) = 211       ( remember that   b = 3a; c = 6 + a)

a + 3a + 6 + a = 211

5a + 6 = 211

5a = 211 - 6 = 205

5a = 205

∴ a = 205 ÷ 5 = 41 cm

a = 41 cm

Therefore the length of the first piece (a) = 41 cm

now  finding b and c

substituting a into equation 1 and 2

b = 3a

b = 3 × 41 = 123

∴ b = 123 cm

c = 6 + a

c = 6 + 41 = 47

∴ c = 47 cm

The 3 by 3 grid below shows nine 1 cm x 1 cm squares and uses 24 cm of wire.
What length of wire is required for a similar 20 by 20 grid?

Answers

Answer:

840 cm

Step-by-step explanation:

From the diagram attached, the 3 by 3 grid is made up of nine 1 cm x 1 cm squares. The the length of wire needed to make this grid consist of four rows each row having a length of 3 cm and four columns with each column having a length of 3 cm.

The length of wire required by the 3 by 3 grid = 4 column (3 cm / column) + 4 row (3 cm / row) = 12 cm + 12 cm = 24 cm

The 20 by 20 grid is made up of twenty 1 cm x 1 cm squares. The the length of wire needed to make this grid consist of twenty one rows each row having a length of 20 cm and twenty columns with each column having a length of 20 cm.

The length of wire required by the 20 by 20 grid = 21 column (20 cm / column) + 21 row (20 cm / row) = 420 cm + 420 cm = 840 cm

Im stuck on this question

Answers

Answer:

well the shape is acute so it will be quite low work out the opposite angles and you will find out that the lines are parallels there for meaning the answer is the lowest angle

Step-by-step explanation:

a line has an x-intercept of (4,0) and a y-intercept of (0,12).Find the slope of the line

Answers

Answer:

m = -3

Step-by-step explanation:

Slope Formula: [tex]m = \frac{y2-y1}{x2 - x1}[/tex]

All you have to do is plug in 4 for x1, 0 for x2, 0 for y1, and 12 for y2 and you should be able to calculate your answer!

Answer:

-3

Step-by-step explanation:

→ Utilise the gradient formula

[tex]\frac{y2-y1}{x2-x1}[/tex]

→ Substitute in the values from the coordinates (4,0) and (0,12)

[tex]\frac{12-0}{0-4}=\frac{12}{-4} =-3[/tex]

→ The gradient of the line is -3

whats the answers to this ?

Answers

Answer:

Hi there!

The correct answers are: A, B, D, E

Step-by-step explanation:

First of all, perpendicular means when two lines intersect to form a 90° angle.

Second ⊥ means perpendicular.

When something is a bisector it means it evenly slices a line in half.

Please answer this correctly

Answers

Answer:

14.3%

Step-by-step explanation:

There is only one four out of 7 total numbers.

1/7 = 0.142857 = 14.29%

We are given 7 numbers.

4 is only one card in that 7 card set so, 1/7.

1/7 = 0.1428

0.1428 * 100% = 14.28%

Therefore, the answer is roughly 14.3%

Best of Luck!

Simplify ^36 - ^16 =

Answers

Answer:

[tex]x^{36}-x^{16}[/tex] is already at its simplest form

Step-by-step explanation:

You cannot factor or GCF anything out of it, and you cannot just subtract exponents. Therefore, it is simplified already.

Evaluate the expression. 8! − 5!

Answers

Answer:

40200

Step-by-step explanation:

(8x7x6x5x4x3x2x1) - (5x4x3x2x1)

Or simply plug 8! - 5! into the calc.

Answer:

Step-by-step explanation:

40200

The process used to collect data will __________ of the study.

affect the validity and the bias

affect only the validity

affect only the bias

not affect the validity and the bias

Answers

Affect only the validity so the second one

The process used to collect data will affect the validity and the bias of the study.

What is validity

The way data is gathered is very important for making sure a study is accurate and doesn't have any unfair influences. Validity means how well the information collected correctly shows the things the study is trying to find out. If the way data is collected is not done correctly, it can cause incorrect or untrustworthy results, making the study less reliable

Bias means when we make mistakes or go away from the correct value or truth. If the way we collect data is biased, it can lead to unfair outcomes or favor certain groups.

Learn more about validity  from

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Please help! The table below shows the elevations of the three animals that Fernanda can see from her boat.

Answers

Answer:

Sea Lion, fish, Bird

Step-by-step explanation:

Find the absolute value of the animals, and then compare them from least to greatest

A hypothesis test is conducted at the .05 level of significance to test whether or not the population correlation is zero. If the sample consists of 25 observations and the correlation coefficient is 0.60, then what is the computed value of the test statistic?

Answers

Answer:

Th computed value of the test statistic is 3.597

Step-by-step explanation:

The null and the alternative hypothesis is as follows:

Null Hypothesis:

[tex]\mathbf{H_o:}[/tex] the population correlation coefficient is equal to zero

[tex]\mathbf{H_a:}[/tex] the population correlation coefficient is not equal to zero

The test statistics for Pearson correlation coefficient is thus computed as :

[tex]t =\dfrac{r \sqrt{(n-2)}} { \sqrt{(1-(r)^2)} }[/tex]

where;

r = correlation coefficient = 0.60

n = sample size = 25

So;

[tex]t =\dfrac{0.60 \sqrt{(25-2)}} { \sqrt{(1-(0.60)^2)} }[/tex]

[tex]t =\dfrac{0.60 \sqrt{(23)}} { \sqrt{(1-0.36} }[/tex]

[tex]t =\dfrac{0.60 *4.796} {0.8}[/tex]

t = 3.597

Comparing to a critical value of t (23 degrees of freedom two-tailed value) = 2.069

Decision Rule:

Since computed value of t is greater than the critical value of t; We reject the null hypothesis and accept the alternative hypothesis.

Conclusion:

We conclude that the population correlation coefficient significantly differs from 0 at 5% (0.05) level of significance.

What is the equation of the line that is parallel to the line y - 1 = 4(x + 3) and passes through the point (4, 32)?
y = 2 x + 33
y= *x+36
y = 4x - 16
y = 4x + 16

Answers

The answer to your question is 15

Answer:

  y = 4x +16

Step-by-step explanation:

The given equation is in "point-slope" form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

The slope of the given line is m=4. This is the same slope as any parallel line.

__

The line you want can be written in the same point-slope form as ...

  y -32 = 4(x -4)

Rearranging, we have ...

  y = 4x -16 +32 . . . . . add 32, eliminate parentheses

  y = 4x +16 . . . . . . . . collect terms

Rata-rata markah matematik untuk Amin, azman dan aziz adalah 73. Tanda Azman lebih 35 berbanding Amin manakala aziz dua kali ganda daripada Amun. Apakah tanda Amin?

Answers

Answer:

The Amin's score in math was 46.

Step-by-step explanation:

The question is:

The average math score for Amin, azman and aziz is 73. Azman marks 35 more than Amin while aziz is twice that of Amun. What is Amin's sign?

Solution:

Let us denote that:

x = Amin's score in math

y = Azman's score in math

z = Aziz's score in math.

The average of x, y and z is, 73.

That is:

[tex]\frac{x+y+z}{3}=73\\\\\Rightarrow x+y+z = 219[/tex]

Now it is provided that:

[tex]y=x+35...(i)\\z=2x...(ii)[/tex]

Use the equations (i) and (ii) to determine the value of x as follows:

[tex]x+y+z=219\\\\x+x+35+2x=219\\\\4x=184\\\\x=46[/tex]

Thus, the Amin's score in math was 46.

What is the explicit formula for this sequence?
-1, -4, -16, -64, ...

Answers

Answer:

a, ar, ar²,ar³,ar⁴...

last one haha ill give 20 points

Answers

The type of triangle drawn is an isosceles triangle.

Base angles ∠ACB and ∠CAB are equal.

What is an isosceles triangle?

This is a type of triangle with base angles and opposite sides equal.

Analysis:

∠DCA = ∠CAB ( alternate angles are equal)

∠CAB + ∠ACB + ∠CBA = 180°( sum of angles in a triangle)

50 + ∠ACB + 80 = 180

130 + ∠ACB = 180

∠ACB = 180 - 130 = 50°

Since ∠ACB = ∠CAB = 50°. The triangle drawn is an isosceles triangle.

In conclusion, the triangle is isosceles because the base angles are equal.

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There are five faculty members in a certain academic department. These individuals have 4, 6, 7, 10, and 15 years of teaching experience. Two of these individuals are randomly selected to serve on a personnel review committee. What is the probability that the chosen representatives have a total of at least 16 years of teaching experience

Answers

Answer:

3/5

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = expected outcome of event/total outcome of event

Given 5 individuals with 4, 6, 7, 10, and 15 years of teaching experience.

Since two of these 5 individuals are randomly selected to serve on a personnel review committee, total possible outcome = 5C2 (randomly selecting 2 personnel out of 5 )

5C2 = [tex]\frac{5!}{(5-2)!2!}[/tex]

[tex]= \frac{5!}{3!2!}\\ = \frac{5*4*3!}{3!*2} \\= 10\ possible\ selections\ can\ be\ done[/tex]

To get the probability that the chosen representatives have a total of at least 16 years of teaching experience, first we need to find the two values that will give a sum of years greater that or equal to 16 years. The possible combination are as shown;

4+15 = 19years (first reps)

6+10 = 16years (second reps)

6+15 = 21years (third reps)

7+10 = 17 years (fourth reps)

7+15 = 22 years (fifth reps)

10+15 = 25 years (sixth reps)

This shows that there are 6 possible ways to choose the representatives that have a total of at least 16 years of teaching experience

Total outcome = 10

expected outcome = 6

Probability that the chosen representatives have a total of at least 16 years of teaching experience = [tex]\frac{6}{10} = \frac{3}{5}[/tex]

Length of Triangles.

Answers

Answer:

9

Step-by-step explanation:

Since the scale factor is 12/8 = 1.5, to find LA we have to multiply FI by 1.5 which is 6 * 1.5 = 9.

In order to solve for the variable in the equation 2 (4 x + 3) + 4 = 3 x minus (2 x + 4), Giovanni first applies the distributive property. Which equation is a result of this step?

Answers

Answer:

8x + 6 + 4 = 3x - (2x + 4)

Step-by-step explanation:

When Gio applies the distributive property, the equation above is the result. Naturally, I look at the 1st parenthesis I see and start the 1st distributive property there first. The 2nd distributive property would be the other parenthesis where you multiply by -1, so you would get 8x + 6 + 4 = 3x - 2x - 4

Answer:

A or 8x + 6 + 4 = 3x - (2x + 4)

Step-by-step explanation:

The royal fruit company produces two types of fruit drinks. the first type is 20% pure fruit juice, and the second is 70% pure fruit juice. The company is attempting to produce a fruit drink that contains 35% pure fruit juice. How many pints of each of the two existing types of drinks must be used to make 60 pints of a mixture that is 35% pure fruit juice?

Answers

Answer:

We have 20% fruit juice and 70% fruit juice.

We need 60 pints of 35% fruit juice.

We set up 2 equations where t is 20% and s is 70%

t + s = 60 pints

.20t + .70s = (.35 * 60)

We solve for both unknowns

t = 42  s = 18

We need 42 pints of 20% and 18 pints of 70 %

**** DOUBLE CHECK *******************************

42 pints of 20% = 8.40 pints of juice 33.6 pints water

18 pints of 70% = 12.60 pints of juice 5.40 pints water

TOTAL mixture = 21 pints juice 39 pints water = 60 total pints

21 pints juice / 60 = .35 (or 35% fruit juice)

Correct !!!

Step-by-step explanation:

g Your underground used-book business is booming. Your policy is to sell all used versions of Calculus and You at the same price (regardless of condition). When you set the price at $10, sales amounted to 100 volumes during the first week of classes. The following semester, you set the price at $30 and sales dropped to zero. Assuming that the demand for books depends linearly on the price, what price gives you the maximum revenue?

Answers

Answer:

The price that maximizes the revenue is $15 per book.

Step-by-step explanation:

We have a demand that has a linear relation to price.

The two points we will use to calculate the demand function are:

Price p=10, Demand q=100Price p=30, Demand q=0

We have the equation:

[tex]q=m\cdot p+b[/tex]

Then, we replace:

[tex]q(30)=0=m(30)+b\\\\q(10)=100=m(10)+b\\\\\\b=-30m\\\\100=10m+(-30m)=-20m\\\\m=-100/20=-5\\\\b=-30(-5)=150\\\\\\q(p)=-5p+150[/tex]

The revenue R can be calculated as the multiplication of price and quantity.

We can maximize R by deriving and equal that to 0:

[tex]R=p\cdot q=p(-5p+150)=-5p^2+150p\\\\\\\dfrac{dP}{dp}=-5(2p)+150=0\\\\\\-10p+150=0\\\\p=150/10=15[/tex]

The price that maximizes the revenue is $15 per book.

The price that will offer the maximum revenue would be as follows:

$15

Find the price

What information do we have,

When Price = $10, Q = 100 Units

When Price = $ 30, Q = 0 units

With the above information, we can take the equation:

Q = Maximum (p + b)

by putting the values in both the above situations,

30 = 0 = m30 + b

10 = 0 = m10 + b

we get b = -30m. by putting this, we get

100 = 10m + (-30m) = -20m

∵ q(p) = -5p + 150

Through the equation and putting the above values, we get:

[tex]R = p.q.[/tex]

[tex]= p(-5p + 150)[/tex]

[tex]= -5p^2 + 150p[/tex]

$15 as the maximum price.

Thus, $ 15 is the correct answer.

Learn more about "Price" here:

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. Draw a unit circle. A unit circle is a circle whose radius is 1 and whose center is located at the origin of a rectangular coordinate system. On this unit circle let θ be the angle measured from the positive x‐axis to the point P = (x, y). Label the angles 0, 6  , 4  , 3  , 2  ,  , 2 3 , 2 and the coordinates of the points on the unit circle that correspond to each of these angles. 2. Plot the point         2 3 , 2 1 . How can you check that the point is on the unit circle? (Hint: recall the equation of the unit circle). Plot the points symmetric to it with respect to the y-axis, to the x-axis, and to the origin. Label the coordinates of the points you found. Find positive angles (expressed in radians) which correspond to the points. 3. Explain how symmetry can be used to find the coordinates of points on the unit circle for angles whose terminal sides are in quadrants II, III, and IV. 4. If   x, y is a point on the unit circle in quadrant I and if 2 3 x  , what is y ? 5. Find two negative and three positive angles, expressed in ra

Answers

Answer:

When drawing a rectangle the point of origin is P = xy and the 0 be upon the positive x axis back to P this way we have a rectangle length.

The circle is inscribed in the middle of the rectangle.

Step-by-step explanation:

0,6  as this is 1/6th of circle

9,45 as this is 3/9th of a circle

36, 22.5 as this is 5/10 of a circle

-27, -16.5 as this is   7/10 of a circle

When we join up -27 to 0 with the end line of a rectangle the base, we find it is at point for -16 for y and joined to 6 at y and has formed 10/10 of a circle.

This is not correct but may help as they are in proportion.

7. Evaluate 4P2

O

22

O

12

O

14

5

Answers

Answer:

12

Step-by-step explanation:

To evaluate 4P2, we will use the permutation formula as shown;

nPr = [tex]\frac{n!}{(n-r)!}[/tex]

4P2 = [tex]\frac{4!}{(4-2!}[/tex]

[tex]= \frac{4!}{2!} \\= \frac{4*3*2!}{2!}\\ = 4*3\\= 12[/tex]

4P2 = 12

The owner of Limp Pines Resort wanted to know the average age of its clients. A random sample of 25 tourists is taken. It shows a mean age of 46 years with a standard deviation of 5 years. The width of a 98 percent confidence interval for the true mean client age is approximately:_______.
A. ± 2.492 years.
B. ± 1.711 years.
C. ± 2.326 years.
D. ± 2.797 years.

Answers

Answer:

C. ± 2.326 years.

Step-by-step explanation:

We have the standard deviation for the sample. So we use the t-distribution to solve this question.

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.98}{2} = 0.01[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.01 = 0.99[/tex], so [tex]z = 2.326/tex]

Now, find the width of the interval

[tex]W = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

In this question:

[tex]\sigma = 5, n = 25[/tex]

So

[tex]W = z*\frac{\sigma}{\sqrt{n}}[/tex]

[tex]W = 2.326*\frac{5}{\sqrt{25}}[/tex]

The correct answer is:

C. ± 2.326 years.

What is the density of a material with a mass of 512 kilograms and a volume of 4 cubic meters?

Answers

Answer:

128 kg/m^3

[tex]solution \\ \: mass = 512 \: kg \\ volume = 4 {m}^{3} \\ now \\ density = \frac{m}{v} \\ \: \: \: \: \: \: \: \: \: \: \: \: = \frac{512}{4} \\ \: \: \: \: \: \: \: \: \: = 128 \: kg/ {m}^{3} [/tex]

hope this helps...

Good luck on your assignment

If ABCD is a rectangle, and m∠ADB=55°, what is the value of x?

Answers

Answer:

x= 70

Step-by-step explanation:

Rectangles have four right angles (angles of 90 degrees).

The point of intersection of the diagonals divides each one of them into two equal parts.

Knowing this, we can conclude that:

m\angle c=m\angle b=55\°

Therefore, since the sum of the interior angles of a triangle is 180 degrees, we can find the value of "x":

x+m\angle c+m\angle b=180\°\\x=180\°-55\°-55\°\\x=70\°

If a company's cost function is C(x) = 15x + 100. What price should the company sell each unit, x, to break even after selling 10 units.

Answers

Just substitute the 10 into x I think
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