Reduce the following fraction to lowest terms: 8/14

The more accurate value is 6.57881347896059, which you can round however you need. I picked two decimal places.

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Explanation:

Let's pick a starting value of the car. It doesn't matter what the starting value, but it might help make the problem easier. Let's say A = 1000. Half of that is 1000/2 = 500.

So we want to find out how long it takes for the car's value to go from $1000 to $500 if it depreciates 10% per year.

The value of r is r = 0.10 as its the decimal form of 10%

t is the unknown number of years we want to solve for

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y = A(1 - r)^t

500 = 1000(1 - 0.1)^t

500 = 1000(0.9)^t

1000(0.9)^t = 500

0.9^t = 500/1000

0.9^t = 0.5

log( 0.9^t ) = log( 0.5 )

t*log( 0.9 ) = log( 0.5 )

t = log( 0.5 )/log( 0.9 )

t = 6.57881347896059

Note the use of logs to help us isolate the exponent.

Answer:

D. the bottom one is the answer, because hyperbola is two curves that curve infinitely

the answer is 6.5

Step-by-step explanation:

Answer:

-35 and 37

Step-by-step explanation:

If you start with negative 35 and count up (including zero), you’ll cancel out when you get to positive 35 and have 71 numbers.  Then you continue on with 36 and 37 which equals 73, and you have 73 consecutive integers.

the answer is 667.

100/x = 15/100

it’s a proportion so you cross multiply. after cross multiplying you get 15x = 10,000. divided both sides by 15 and you get x = 66.6 (continuation of the 6). since it’s repeating, round it and you get 667.

by the way this is actually one of my homework questions for today ;)

The predicted number of butterflies that starts from Kansas and Missouri and migrate to Mexico is 667.

The Aim of the experiment is to measure the Monarch butterfly migration

Predicting the number of butterflies

= [tex]\frac{100}{x} = \frac{15}{100}[/tex]

= [tex]15x = ( 100 * 100)[/tex]

∴ x( predicted value ) = [tex]\frac{10000}{15 } = 667[/tex]

hence the approximate value of the number of butterflies that migrate to Mexico from Kansas and Missouri is  667

learn more about migration : https://brainly.com/question/23903333

Answer:

The answer is 20

Step-by-step explanation:

Answer:

The answer is the second photo.

Step-by-step explanation:

It's literally a circle in a triangle. So, it's the second one.

Answer:

F. [tex] \frac{3}{2} [/tex]

Step-by-step explanation:

[tex] \frac{a + 2b}{b} = \frac{7}{2} [/tex]

Cross multiply:

7b= 2(a +2b)

Expand:

7b= 2a +4b

Bring all common variables to 1 side:

7b -4b= 2a

3b= 2a

divide by 2 on both sides:

[tex] \frac{3}{2} b = a[/tex]

divide by b on both sides:

[tex] \frac{3}{2} = \frac{a}{b} \\ \frac{a}{b} = \frac{3}{2} [/tex]

Answer:

3w - 3

Step-by-step explanation:

Answer:

Hey there!

That would be 7/8

Let me know if this helps :)

Answer:

15x - y = - 126

or y = 15x + 126

Step-by-step explanation:

will make it simple and short

to find the equation... we need to find slope first.

                   y2 - y1             -9  -   6

slope = m  = ---------    =       -----------  =  15

                   x2 - x1             -9  -  (-8)

so we know that the equation of the line using point (-8,6) and slope 15             y - 6 = 15( x + 8)

y - 6 = 15x + 120

Writing the equation in the form   Ax + By = C

15x - y = -120-6

therefore.... 15x - y = - 126   or simplify it as or y = 15x + 126

Hope this helps

Answer:

C

Step-by-step explanation:

That makes the third side 8 inches. Bc 34 -12 -14 = 8.

There's a formula that gives you the area of a triangle with all three sides.

It's kinda long so I won't write it out but it uses the semi-perimeter and it's called heron's formula if you want to search it up.

I just plugged the values into Heron's formula calculator.

The answer is around 47.906158268014, so C.

Area of the triangle is  [tex]47.91 \ in^{2}[/tex].

The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane.

Given

Perimeter  = 34

Two sides of the triangle = 12, 14

Third side of the triangle  = Perimeter - 12 - 14

= 34 - 12 - 14

= 8 inches

According to the figure, using Pythagoras theorem

[tex]h^{2}=8^{2} -x^{2}[/tex]

[tex]h^{2}=12^{2} - (14-x)^{2}[/tex]

[tex]8^{2} -x^{2} =12^{2} -(14-x)^{2}[/tex]

[tex]64-x^{2} =144-196+28x-x^{2}[/tex]

[tex]28x=116[/tex]

[tex]x=4.14[/tex]

So, [tex]h^{2} =8^{2} -4.14^{2}[/tex]

[tex]h^{2} =64-17.15[/tex]

[tex]h=6.844[/tex]

So, the area of the triangle  = [tex]\frac{1}{2} \times 14 \times 6.844[/tex]

= [tex]47.91 \ in^{2}[/tex]

Area of the triangle is  [tex]47.91 \ in^{2}[/tex].

Find out more information about area of the triangle here

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Answer:

[tex]\sum_{a=1}^{7}(500-a)=3472[/tex]

Step-by-step explanation:

[tex]\sum_{a=1}^{7}(500-a)[/tex] will form a sequence as,

499, 498, 497.......7 terms

Since there is a common difference between successive and previous term,

d = 498 - 499 = -1

This sequence is an arithmetic sequence.

Sum of n terms of an arithmetic sequence is,

[tex]S_{n}=\frac{n}{2}[2a+(n-1)d][/tex]

where a = first term of the sequence

n = number of term

d = common difference

For the given given sequence,

[tex]S_{7}=\frac{7}{2}[2(499)+(7-1)(-1)][/tex]

    = [tex]\frac{7}{2}[998-6][/tex]

    = [tex]\frac{7}{2}(992)[/tex]

    = 3472

Therefore, sum of seven terms of the given sequence will be 3472.

Answer:

Step-by-step explanation:

The cost is:

Percentage gain:

Answer:

[tex]\frac{2}{5}[/tex] • [tex]\frac{3}{7}[/tex] = [tex]\frac{6}{35}[/tex]

Answer: 0.171

Step-by-step explanation:

First, do 2/5 which would equal 0.4

Second, so 3/7 which would equal 0.428571428571429

Lastly multiply the two answers together to get 0.171428571428571

Answer

arrange the element in increasing order

-1.9, -1.3, -0.8, 2.3, 5.8, 7.4, 8.5, 9.9

interquatile = Q3 - Q1

[tex] = \frac{7.4 + 8.5}{2} - \frac{ - 1.3 - 0.8}{2} [/tex]

[tex] = 7.95 + 1.05[/tex]

[tex] = 9[/tex]

Answer:

9.0

Step-by-step explanation:

i took the quiz

Answer:

a

        The population parameter of interest is the true proportion of Greek who are suffering

    While the point estimate of this parameter is  proportion of those that would rate their lives poorly enough to be considered "suffering". which is 25%  

b

   The condition  is met

c

   The  95% confidence interval is   [tex]0.223 < p < 0.277[/tex]

d

      If the confidence level is increased which will in turn reduce the level of significance but increase the critical value([tex]Z_{\frac{\alpha }{2} }[/tex]) and this will increase the margin of error( deduced from  the formula for margin of error i.e  [tex]E \ \alpha \ Z_{\frac{\alpha }{2} }[/tex] ) which will make the confidence interval wider

e

  Looking at the formula for margin of error if the we see that if the  sample size is increased the margin of error will reduce making the  confidence level narrower

Step-by-step explanation:

From the question we are told that

    The sample size is  n  =  1000

     The  population proportion is  [tex]\r p = 0.25[/tex]

Considering question a

   The population parameter of interest is the true proportion of Greek who are suffering

    While the point estimate of this parameter is  proportion of those that would rate their lives poorly enough to be considered "suffering". which is 25%  

Considering question b

The condition for constructing a confidence interval is

        [tex]n * \r p > 5\ and \ n(1 - \r p ) >5[/tex]

So  

        [tex]1000 * 0.25 > 5 \ and \ 1000 * (1-0.25 ) > 5[/tex]

         [tex]250 > 5 \ and \ 750> 5[/tex]

Hence the condition  is met

Considering question c

    Given that the confidence level is  95%  then  the level of significance is mathematically evaluated as

          [tex]\alpha = 100 - 95[/tex]    

          [tex]\alpha = 5 \%[/tex]

          [tex]\alpha = 0.05[/tex]

Next we obtain the critical value of [tex]\frac{\alpha }{2}[/tex] from the normal distribution table, the value is  

              [tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]        

Generally the margin of error is mathematically represented as

         [tex]E = Z_\frac{ \alpha }{2} * \sqrt{ \frac{\r p (1 - \r p ) }{n} }[/tex]

substituting values

         [tex]E = 1.96 * \sqrt{ \frac{ 0.25 (1 - 0.25 ) }{ 1000} }[/tex]

         [tex]E = 0.027[/tex]

The  95% confidence interval is mathematically represented as

            [tex]\r p - E < p < \r p + E[/tex]

substituting values  

           [tex]0.25 - 0.027 < p < 0.25 + 0.027[/tex]

substituting values

           [tex]0.223 < p < 0.277[/tex]

considering d

  If the confidence level is increased which will in turn reduce the level of significance but increase the critical value([tex]Z_{\frac{\alpha }{2} }[/tex]) and this will increase the margin of error( deduced from  the formula for margin of error i.e  [tex]E \ \alpha \ Z_{\frac{\alpha }{2} }[/tex] ) which will make the confidence interval wider

considering e

     Looking at the formula for margin of error if the we see that if the  sample size is increased the margin of error will reduce making the  confidence level narrower

Answer:

12c-7d

Step-by-step explanation:

[tex]4c-4d+8c-3d=0\\4c+8c=3d+4d\\12c=7d\\12c-7d[/tex]

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Explanation:

The terms 4c and 8c are one pair of like terms that combine to 4c+8c = 12c. We add 4 and 8 to get 12, then tack a 'c' at the end

The other pair of like terms are -4d and -3d. They combine to -7d for similar reasoning.

12c and -7d are not like terms, so we can't combine them and we stop here.

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One way to think of combining like terms is consider simplifying 2c+3c. You could say that 2c represents having 2 cups while 3c is having 3 cups. Writing 2c+3c means we start with 2 cups and add on 3 more getting a total of 2+3 = 5 cups. Symbolically we would then write 5c. Therefore 2c+3c = 5c.

Answer:

[tex]\large \boxed{3.4 \times 10^{10}\text{ ergs }}[/tex]

Step-by-step explanation:

[tex]\begin{array}{rcl}\log E & = & 11.8 + 1.5M\\& = & 11.8 + 1.5 \times 8.3\\& = & 11.8 + 12.45\\& = & 24.25\\E & = & e^{24.25}\\& = & \mathbf{3.4 \times 10^{10}} \textbf{ ergs}\\\end{array}\\\text{ The energy released was $\large \boxed{\mathbf{3.4 \times 10^{10}}\textbf{ ergs }}$}[/tex]

Answer:

e^{sin²x}+c

Step-by-step explanation:

[tex]\int e^{sin^2x} sin 2x dx=?[/tex]

is this statement?

if so

then

[tex]put~sin^2x=t\\differentiate\\2 sin ~x~cos~x~dx=dt\\sin~2x ~dx=dt\\\int e^t~dt=e^t+c\\=e^{sin^2x}+c[/tex]

Answer:

-2, b, a+c

Step-by-step explanation:

Answer:

-2, b, a+c

Step-by-step explanation:

By looking at where A and C are on the number line, we can tell that A is a negative number close to zero and C is a positive number a little greater than four. This means that if we add the two together, we'll get a positive number a little below four.

By looking at the number line, we can tell that the value of B is a positive number a little below the number three.

Now that we know that B is less than A+C, and we know where -2 is on the number line (two marks to the left of zero) we can decide the least to greatest values.

Since negatives are always less than positives, we know that -2 has the smallest value. Next, we know that B is lower on the number line than A+C. So, in order, from least to greatest, the answer is:

-2, B, A+B

Hope this helps!! <3 :))

Answer:

the answer to the question

is x=-5.8

Answer:

Hello,

This sequence is geometric with a ratio of -3

the first term is 6

Step-by-step explanation:

[tex]u_1=6\\u_2=-18=6*(-3)=u_1*(-3)\\u_3=54=-18*(-3)=u_2*(-3)=u_1*(-3)^2\\u_4=-162=u_3*(-3)=u_1*(-3)^3\\\\...\\u_{n+1}=u_1*(-3)^n\\\\\displaystyle \sum\limits^\infty _{i=1}u_i = \lim_{n \to \infty} \sum\limits^n _{i=1}u_1*(-3)^{i-1}\\=6*\lim_{n \to \infty} \sum\limits^\infty _{i=1}(-3)^{i-1}\\=6*\frac{1-(-3)^n}{1-(-3)} \\=\dfrac{3}{2} *({1-(-3)^n)\\[/tex]

serie does not converge.

The angle of 30.283° in a degree-minute-second format will be 30° 16' 58". Then the correct option is C.

Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

The angle is given below.

⇒ 30.283°

Convert 30.283° into a degree-minute-second format. Then we have

⇒ 30° (0.83 x 60')

⇒ 30° 16.98'

⇒ 30° 16' (0.98 x 60'')

⇒ 30° 16' 58"

The angle of 30.283° in a degree-minute-second format will be 30° 16' 58". Then the correct option is C.

More about the conversion link is given below.

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Answer:

  no

Step-by-step explanation:

If any x-value is repeated, the relation is not a function. Both x=4 and x=9 are repeated values, so this relation is not a function.

Answer:

The answer is "Analysis the information by chart and number processes".

Step-by-step explanation:

They already have articulated a query and also gathered information unless you are searching only at the distribution of your results. Those who are ready to analyze your results for all are there.

Answer:

25+(0.07xm)=103.82      m=1126