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A 16-inch piece of string is 40.64 centimeters long. To the nearest 0.01 centimeter, how long will a 42-inch price of string be?

A. 56.64 cm

B. 82.64 cm

C. 106.68 cm

D. 1,706.88 cm

Please show ALL work! <3

Answers

Answer 1

Answer:

106.68 centimeters

Step-by-step explanation:

40.64 cm/16 in = x cm/42 in

Cross multiplying, we get:

16x = 40.64(42)

16x = 1706.88

x = 106.68 centimeters


Related Questions

Which equation is represented by the graph shown in the image? A. y + 2= x B. y + 1= x C. y - 1= x D. y - 2= x Please show ALL work! <3

Answers

Answer:

A. y + 2= x

Step-by-step explanation:

Which equation is represented by the graph shown in the image?

A. y + 2= x

B. y + 1= x

C. y - 1= x

D. y - 2= x

Please show ALL work! <3

The graph shown has a slope of +1 and a y intercept of -2.

All given answer choices have a slope of +1, so that's not the problem.

We need one that has a y-intercept of -2, or the equation should be

y = x-2, or equivalently y+2 = x

which corresponds to answer choice A.


Fill in the missing values to make the equations true .

Answers

Answer:

a) 15

b) 9

c) 2

Step-by-step explanation:

im try it by using trial and error by calculator

56÷(7-9)^3 -24/23-5×4​

Answers

Answer:

= −28.043478261

Step By Step Explanation

Answer From Gauth Math

Just in case you want to know what rule I used it was bedmas.
Hope it helps

please help me with this
——/———————-////—————-

Answers

Answer:

"C"

Step-by-step explanation:

-B means the B is in the opposite direction

The effective gross income from an office building property is $73,500 and the annual operating expenses total $52,300. If the owner expects to receive an 11% return on his investment, what is the value of the property?

Answers

Answer:

It’s b. $192,727

Step-by-step explanation

i hope this help

can I get brainly

If the nth term is nn+1, then the (n+1)st term is:

Answers

Answer:

[tex]\large \boxed{\sf C. \ (n+1)^{n+1}+1}[/tex]

Step-by-step explanation:

[tex]n^n+1[/tex]

Plug in the value for n as n+1 in the nth term to find the (n+1)st term.

[tex](n+1)^{n+1}+1[/tex]

Answer:

[tex]\boxed{Option \ 3}[/tex]

Step-by-step explanation:

=> [tex]n^n+1[/tex]

Given that n = n+1

So,

=> [tex](n+1)^{n+1}+1[/tex]

look at the image below

Answers

Answer:

272 yd²

Step-by-step explanation:

Surface area = base area + lateral area

= (10×10)+(8.6×10×2)

= 100+172

= 272 yd²

I really need help with this​

Answers

Answer:

G=21, F=9, M=6, L=7, E=20, D=15, B=10, R=12.5, T=16, N=13.5, W=18, H=36, Z=12

*I=5*

Step-by-step explanation:

I basically just found the scale factor/proportion from two given sides and then used that to find the remaining sides.

*I'm not sure about 'I' since the edge of the paper was cut off so I want sure if it was a 5 or a 15 on the left most problem in the third row. I assumed it was 15. If it's not, just shout it out in the comments and I'll fix it! :)*

You can fill the letters in at the bottom XD

I hope this helped! :D

What is the approximate value of x in –2 ln (x + 1) − 3 = 7?

Answers

Answer:

x = 1/e^-5 - 1

Step-by-step explanation:

–2 ln (x + 1) − 3 = 7

–2 ln (x + 1) = 10

ln (x + 1) = –5

x + 1 = e^-5

x = e^-5 - 1

x = 1/e^-5 - 1

the approximate value of x in the equation -2 ln(x + 1) - 3 = 7 is x ≈ -0.9933.

To solve the equation -2 ln(x + 1) - 3 = 7 for the approximate value of x, we will follow these steps:

1. Begin with the given equation: -2 ln(x + 1) - 3 = 7.

2. Move the constant term to the other side of the equation: -2 ln(x + 1) = 7 + 3.

3. Simplify: -2 ln(x + 1) = 10.

4. Divide both sides of the equation by -2 to isolate the natural logarithm term: ln(x + 1) = -5.

5. Rewrite the equation using the exponential form of natural logarithm: e⁻⁵ = x + 1.

6. Calculate the value of e⁻⁵: e⁻⁵ ≈ 0.0067.

7. Subtract 1 from both sides of the equation: x = 0.0067 - 1.

8. Simplify: x ≈ -0.9933.

Therefore, the approximate value of x in the equation -2 ln(x + 1) - 3 = 7 is x ≈ -0.9933.

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Solve the following equation
3x + 5 = 17

Geometry pre

Answers

Answer:

x = 4

Step-by-step explanation:

First, we need to get the 3x by itself on the left. To do this, we subtract 5 from both sides. 3x + 5 - 5 = 17 - 5; 3x = 12. Now, to find x, we divide both sides by 3 to get 3x/3=12/3; x = 4

Answer:

[tex] \boxed{ \boxed{ \bold{4}}}[/tex]

Step-by-step explanation:

[tex] \mathsf{3x + 5 = 17}[/tex]

Move constant to R.H.S and change it's sign

⇒[tex] \mathsf{3x = 17 - 5}[/tex]

Subtract 5 from 17

⇒[tex] \mathsf{3x = 12}[/tex]

Divide both sides of the equation by 3

⇒[tex] \mathsf{ \frac{3x}{3} = \frac{12}{3} }[/tex]

Calculate

⇒[tex] \mathsf{x = 4}[/tex]

Hope I helped!

Best regards!

find the measure of the indicated angle

Answers

Answer:

Step-by-step explanation:

36°

1. Find 4B. B= -3 1
2 -4
-1 5​

Answers

Answer:

(1,4) (2,4)(3,4)

Step-by-step explanation:

Let A represent going to the movies on Friday and let B represent going bowling on Friday night. The P(A) = 0.58 and the P(B) = 0.36. The P(A and B) = 94%. Lauren says that both events are independent because P(A) + P(B) = P(A and B) Shawn says that both events are not independent because P(A)P(B) ≠ P(A and B) Which statement is an accurate statement? Lauren is incorrect because the sum of the two events is not equal to the probability of both events occurring. Shawn is incorrect because the product of the two events is equal to the probability of both events occurring. Lauren is correct because two events are independent if the probability of both occurring is equal to the sum of the probabilities of the two events. Shawn is correct because two events are independent if the probability of both occurring is not equal to the product of the probabilities of the two events.

Answers

Answer:

Shawn is correct because two events are independent if the probability of both occurring is equal to the product of the probabilities of the two events.

Step-by-step explanation:

We are given that A represent going to the movies on Friday and let B represent going bowling on Friday night. The P(A) = 0.58 and the P(B) = 0.36. The P(A and B) = 94%.

Now, it is stated that the two events are independent only if the product of the probability of the happening of each event is equal to the probability of occurring of both events.

This means that the two events A and B are independent if;

P(A) [tex]\times[/tex] P(B) = P(A and B)

Here, P(A) = 0.58, P(B) = 0.36, and P(A and B) = 0.94

So, P(A) [tex]\times[/tex] P(B) [tex]\neq[/tex] P(A and B)

      0.58 [tex]\times[/tex] 0.36 [tex]\neq[/tex] 0.94

This shows that event a and event B are not independent.

So, the Shawn statement that both events are not independent because P(A)P(B) ≠ P(A and B) is correct.

Answer:

Shawn is correct

Step-by-step explanation:

The table shows a set of conditional relative frequencies of drivers in a survey planning to buy a used vehicle next, based on how they obtained their current vehicle.

Which interpretation of the relative frequencies given is the most appropriate?

A. The greatest number of drivers who plan to buy used are those who leased their current vehicle.
B. The majority of drivers who will buy used next time bought their current vehicle used.
C. Of drivers who bought their current vehicle used, about 4 percent will buy new next time, almost 95 percent will buy used next time, and about 1 percent will lease next time.
D. Of drivers who bought new, 3.9 percent will buy used next time; of drivers who bought used, 94.8 percent will buy used again; of drivers who leased, 1.3 percent will buy used.

Answers

The majority of drivers who will buy used next time bought their current vehicle used. The correct option is B.

What are statistics?

Any affiliations, financing, or financial holdings that could be seen as influencing the review's objectivity to give rise to potential bias.

Such elements might consist of, but are not limited to, the following: Employment, professional associations, paid consulting, and participation in groups that support relevant causes.

The given table is:-

Current vehicle      Buy used

Bought new             0.039

Bought Used           0.948

Leased                     0.013

Total                         1.000

In the given table it is observed that the majority of drivers who will buy used next time bought their current vehicle used. The correct option is B.

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Find the sum of the first 12 terms of the sequence 512, 256, 128, …

Answers

Answer: 1023.75 (a)

Step-by-step explanation:

The sequence is a Geometric progression with the common ratio of ¹/₂ and first term of 512.

a = 512, r = ¹/₂. To determine the ratio, just divide the second term by the first term.

Now to calculate the sum, we consider two formula here and select the one that is most appropriate,

(1)  a( rⁿ - 1 )/r - 1, when r is greater than 1

(2) a( 1 - rⁿ )/1 - rⁿ, when r is less than 1.

In this question, formula 2 shall be appropriate because r is less than 1.

so,

S₁₂      =  512( 1 - 0.5¹² )/1 - 0.5

             512( 1 - 2.44 ₓ 10⁻⁴ )/0.5

          = 512( 0,9998 )/0.5

          = 511.875/0.5

          = 1023.75

The answer is a

I copied the problem

Answers

Answer:

Step-by-step explanation:

149 11/16" ÷ 12 = 12.4739583333333333... ft

We subtract off the whole number part and call it 12'

0.4739583333333333 × 12 = 5 11/16 "

149 11/16" = 12'  5 11/46"

120 7/8" ÷ 12 = 10.07291666666

We subtract off the whole number part and call it 10'

0.07291666666 × 12 = 7/8"

120 7/8" = 10'  7/8"

The third one is moot as 0 1/8" equals 0' 1/8"

I suspect your photo framing has cut off some important numbers.

Given a population with a mean of µ = 100 and a variance of σ2 = 1600, the central limit theorem applies when the sample size is n ≥ 25. A random sample of size n = 50 is obtained. • What are the mean and variance of the sampling distribution for the sample means? • What is the probability that ¯X > 110?

Answers

Answer:

The probability that the sample mean is more than 110 is 0.0384.

Step-by-step explanation:

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the sampling distribution of the sample mean will be approximately normally distributed.  

Then, the mean of the sampling distribution of sample mean is given by:

[tex]\mu_{\bar x}=\mu[/tex]

And the variance of the sampling distribution of sample mean is given by:

[tex]\sigma^{2}_{\bar x}=\frac{\sigma^{2}}{n}[/tex]

The information provided is:

[tex]n=50\\\\\mu=100\\\\\sigma^{2}=1600[/tex]

Since n = 50 > 30, the central limit theorem can be applied to approximate the sampling distribution of sample mean by the normal distribution.

The mean variance of the sampling distribution for the sample mean are:

[tex]\mu_{\bar x}=\mu=100\\\\\sigma^{2}_{\bar x}=\frac{\sigma^{2}}{n}=\frac{1600}{50}=32[/tex]

That is, [tex]\bar X\sim N(100, 32)[/tex].

Compute the probability that the sample mean is more than 110 as follows:

[tex]P(\bar X>110)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{110-100}{\sqrt{32}})[/tex]

                   [tex]=P(Z>1.77)\\=1-P(Z<1.77)\\=1-0.96164\\=0.03836\\\approx 0.0384[/tex]

*Use a z-table.

Thus, the probability that the sample mean is more than 110 is 0.0384.

What integer is closest to 13/3 divided 2/11 I have been looking at this for while and my brain is going (⊙_◎)

Answers

Answer:

24

Step-by-step explanation:

13/3 / 2/11 = 13/3 * 11/2 = 143/6 = 23 and 5/6

23 and 5/6 is closest to 24.

Answer:

23 5/6

Step-by-step explanation:

I don’t remember learning this, need some help!

Answers

Answer:

4

Step-by-step explanation:

(y+2)²=[(-4)+2]²

=(-4+2)²

=-2²

=4

find the value of each variable and the measure of each angle​

Answers

Answer:

Left angle = 60°

Top angle = 120°

Right angle = 60°

Step-by-step explanation:

Use what you know about angle relationships to set up equations you can solve for each variable.

The top top angle, for example, added to one of the other angles must equal 180° because they are supplementary.

You have two variables, so you need at least two equations (I made three but only used two).

The work is in my attachment, comment of you have questions.

Raul tried to evaluate an expression step by step.

Answers

Answer:

  (B) Step 2

Step-by-step explanation:

In step 2, Raul should have had one of these results:

  8 -7 . . . . according to the order of operations

or

  3 -2 . . . . properly adding 5 -7

Raul's step 2 is not either of these (or 5-4), so is incorrect.

Answer:

step 2 i did it on khan yall

Step-by-step explanation:

Which equation demonstrates the additive identity property?

Answers

Answer:

See Explanation

Step-by-step explanation:

The options are not given; however, you can take a clue from my explanation to answer your question

Let x be a real number;

Additive identity property implies that; adding x to 0 or 0 to x gives x;

In other words;

[tex]x + 0 = x[/tex]

[tex]0 + x = x[/tex]

Note that x can be replaced with any real number; Take for instance

[tex]1 + 0 = 1[/tex]

[tex]0 + 2.5 = 2.5[/tex]

[tex]3 + 0 = 3[/tex]

There are uncountable number of examples;

However, take note that adding 0 to a given digit results in the exact digit and that's the implication of addition identity property

Answer:

(7+4i)+0=7+4i

Step-by-step explanation:

When Jason was 16 years old, he deposited $200 in an account that earned 223% interest compounded daily. If he makes no other deposits or withdrawals, what is Jason’s balance at age 20?

Answers

Answer:

Balance at the age of 20 will be $1455966.46

Step-by-step explanation:

Formula to calculate the final amount is,

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Where A = Final amount

P = Principal amount or amount invested

A = Final amount

r = Rate of interest

n = Number of compounding in a year

If Jason invested $200 in an account for 4 years with rate of interest 223%.

P = $200

r = 223%

n = 365

t = 4 years

A = [tex]200(1+\frac{2.23}{365})^{(4\times 365)}[/tex]

A = [tex]200(1.0061096)^{1460}[/tex]

A = $1455966.46

Therefore, balance amount in Jason's account at the age of 20 will be $1455966.46.

Please find this answer!! :)

Answers

Answer:

Amanda's box is in this case, the bigger one. Then subtract the Amanda's by Mary's. The Larger box is 70cm^3 larger then the smaller box.

Step-by-step explanation:

Amanda's box: 13.5*10*10= 1350cm^3

Mary's box: 20*8*8= 1280cm^3

1350-1280=70

The larger box is 70cm^3 larger then the smaller box.

If you have any questions regarding my answer tell me in the comments, i will come answer them. Have a good day.

Closing prices of two stocks are recorded for 50 trading days. The sample standard deviation of stock X is 4.665 and the sample standard deviation of stock Y is 8.427. The sample covariance is $35.826.
Calculate the sample correlation coefficient. (Round your answer to 4 decimal places.)

Answers

Answer:

The sample correlation coefficient r = 0.9113

Step-by-step explanation:

In this question, we are interested in calculating the sample correlation coefficient.

From the question, we are given;

We are given that,

The sample standard deviation of stock X = 4.665

The sample standard deviation of stock Y = 8.427

The sample covariance = 35.826

Mathematically, the Pearson correlation coefficient "r", it is given as;

r = (co-variance of X and Y)/(standard deviation of X * Standard deviation of Y)

Inputing these values, we have;

r = (35.826)/(4.665 * 8.427) = 0.9113

Can anyone help me with this question please?
Thank you XOXO! (づ ̄ 3 ̄)づ

Answers

[tex]\\ \sf\longmapsto y+124=180[/tex]

[tex]\\ \sf\longmapsto y=180-124[/tex]

[tex]\\ \sf\longmapsto y=56°[/tex]

now using angle sum property

[tex]\\ \sf\longmapsto x+54+125+65=360[/tex]

[tex]\\ \sf\longmapsto x+179+65=360[/tex]

[tex]\\ \sf\longmapsto x+244=360[/tex]

[tex]\\ \sf\longmapsto x=360-244[/tex]

[tex]\\ \sf\longmapsto x=116°[/tex]

The image of (-4,6) reflected along the y-axis is
a. (4, -6)
b. (-4,-6)
c. (4, 6)
d. (-4, 6)

Answers

Answer:

C(4,6)

Step-by-step explanation:

the x turns into its opposite when reflected across y same thing for y when reflected across x

Answer:

c. (4, 6)

Step-by-step explanation:

The rule of an reflection about the y-axis is: [tex]A(x,y)\rightarrow A'(-x,y)[/tex]

Apply the rule to  point (-4, 6):

[tex]\frac{(-4,6)\rightarrow\boxed{(4,6)}}{(x,y)\rightarrow(-x,y)}[/tex]

Option C should be the correct answer.

Which point is located at (5, –2)?

Answers

Answer: Point D

Explanation:

The origin is the center of the grid. This is where the x and y axis meet. The location of this point is (0,0).

Start at the origin and move 5 places to the right. Note how the x coordinate is 5 which tells us how to move left/right. Positive x values mean we go right.

Then we go down 2 spots to arrive at point D. We move down because the y coordinate is negative.

You could also start at (0,0) and go down 2 first, then to the right 5 to also arrive at point D. Convention usually has x going first as (x,y) has x listed first.

Answer:

Point D is located at (5, -2)

Step-by-step explanation:

The coordinates are in the form of (x,y) so that means the point has the x value of 5 and the y value of -2

A girl has 98 beads, and all but 14 were lost. how many beads did she loose?

Answers

Answer:

84 beads

Step-by-step explanation:

She had 98 beads and lost all but fourteen. So it would be 98 - 14 which would get you 84 beads that the girl has lost

Evaluating function expressions

-1•f(-8)-4•g(4)=

Answers

Answer: -7

Step-by-step explanation:

To find f(-8) look at the f function. Find the y value when x = -8

To find g(4) look at the g function. Find the y value when x = 3

Plug these values into the equation

-1 f(-8) - 4 f(4)

-1 (-5) - 4 (3)

5 - 12 = -7

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