Find The Surface Area Of the Figure Below.

Answer:

c

Step-by-step explanation:

The value are equivalent to the fraction below is 3^2, the correct option is F.

A fraction represents a part of a number or any number of equal parts.

A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.

We are given that;

3^5/3^8

Now,

A. 3^-3: This is equivalent to 1/3^3 by moving the negative exponent to the denominator. Then we can simplify 1/3^3 to 1/27 by multiplying 3 by itself 3 times. This is not equivalent to 3^5 / 3^8, since 1/27 is not equal to 3^-3.

B. (1/3)^2: This is equivalent to 1/3^2 by applying the exponent to the numerator and denominator. Then we can simplify 1/3^2 to 1/9 by multiplying 3 by itself 2 times. This is not equivalent to 3^5 / 3^8, since 1/9 is not equal to 3^-3.

C. (1/3)^8: This is equivalent to 1/3^8 by applying the exponent to the numerator and denominator. Then we can simplify 1/3^8 to 1/6561 by multiplying 3 by itself 8 times. This is not equivalent to 3^5 / 3^8, since 1/6561 is not equal to 3^-3.

D. 1/9: This is equivalent to (1/3)^2 by writing it as a power of a fraction. Then we can apply the same steps as in option B and get back to 1/9. This is not equivalent to 3^5 / 3^8, since 1/9 is not equal to 3^-3.

E. 3^14: This is not equivalent to 3^5 / 3^8, since it has a positive exponent and does not have a fraction. We cannot simplify it further without changing its value.

F. 3^2: This is not equivalent to 3^5 / 3^8, since it has a positive exponent and does not have a fraction.

Therefore, by the given fraction the answer will be 3^2.

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Answer:

n = 2

Step-by-step explanation:

5n - 12 = -3n + 4

5n + 3n = 4 + 12

8n = 16

n = 2

Answer:

5n-12=-3n+4

5n+3n=4+12

8n=16

n=16/8

n=2

Step-by-step explanation:

Answer:

14 students

Step-by-step explanation:

Given

Let:

[tex]b \to[/tex] read a book

[tex]t \to[/tex] watched TV

So, we have:

[tex]n = 50[/tex] -- total

[tex]b = 16[/tex]

[tex]t = 41[/tex]

[tex]none = 7[/tex]

Required

Students that did both (x)

This is calculated using:

[tex]Total = Books\ only + TV\ only + Both + None[/tex]

So, we have:

[tex]n = (b - x) + (t - x) + x + none[/tex]

This gives:

[tex]50 = (16 - x) + (41 - x) + x + 7[/tex]

Open brackets

[tex]50 = 16 - x + 41 - x + x + 7[/tex]

[tex]50 = 16 - x + 41 +7[/tex]

Collect like terms

[tex]x = 16 - 50 + 41 +7[/tex]

[tex]x = 14[/tex]

Hence, 14 students did both

Answer:

C.

Step-by-step explanation:

Answer: Annual Fee

Step-by-step explanation:

The options include:

a. Late Payment Fee

b. Balance Transfer Fee

c. Cash Advance Fee

d. Annual Fee

The reason for the fee of $69.45 charged will be due to the late payment fee which is as a result of failing to make a payment by a due date.

Other reasons for the fee include the balance transfer fee which is the charged by the lender in order to transfer an existing debt that's incurred by another lender. The cash advance fee is also another reason for the charges.

Therefore, the correct answer to the question is annual fee.

Answer:

Solution given:

perpendicular [P]=15m

base[B]=8m

hypotenuse [H]=17m

rate :4 plants per square metre

no of plants=?

we have

Area of triangular garden: ½(P*B)=½(15*8)=60m²

Now

Total no of plants =rate ×Area =4×60=240

Michael needs 240 plants in the garden

Answer:

price of 23 toys=Rs276

price of 1 toys=Rs276/23 =Rs 12

price of 12 toys = Rs 12*12 =Rs 144

Answer:

x=50

Step-by-step explanation:

It is a line so it should be 180 degrease. You already have two of the angles and to find the third (x) you just need to subtract them from 180. 180-105=75, and 75-25 is 50, so x is 50.

Answer: x=50 degree

Step-by-step explanation: angle in a straight line is equal to 180 degrees.

Given;

25 degrees &

105 degrees.

180– (105+25)

180– 130

= 50degrees

13.9

about 14 squares units

Answer:

The answer is C

Acellus sux

Step-by-step explanation:

Systematic sampling is a probability sampling approach in which researchers choose individuals of the population at a predetermined regular interval. The correct option is C, a systematic sample.

Systematic sampling is a probability sampling approach in which researchers choose individuals of the population at a predetermined regular interval (or k).

If the population order is random or random-like (e.g., alphabetical), this approach will yield a representative sample from which inferences about the population can be drawn.

Given that At a party there are 30 students over the age of 18 and 20 students under 18. You randomly choose 3 students over 18 and 2 students under 18 to interview.

Because you cannot get a list of your people in advance. As a result, the entire instance presented to us is an example of systematic sampling.

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Answer:

D. ASA

Step-by-step explanation:

In the figures given,

<A and <B in ∆ABC are congruent to corresponding angles <X and <Y in ∆XYZ in ∆XYZ.

Also, an included side AB in ∆ABC is congruent to a corresponding included side XY in ∆XYZ.

According to the ASA triangular theorem, two ∆s are congruent to each other when they have two corresponding angles in each of the triangles that are congruent to each other and an included side that is also congruent to each other.

Therefore, ∆ABC is congruent to ∆XYZ based on the ASA theorem.

Step-by-step explanation:

All you do is add them all up but tbh that picture could use some work and maybe when you fix it ill help you then .So the square unit of this picture is 6

Answer:

0.15

Step-by-step explanation:

Because 5/8 divided by 4 is 0.15.

Answer:

A

Step-by-step explanation:

The successful results are

1     1

2    1

1     2

2     2

So the formula is probability of winning to probability of losing

Probability of winning =

4/36 = 0.1111111

Probability of losing =

32/36 = 0.88888888

So the odds are expressed as 0.111111 / 0.88888 = 1  in 8

A

If you ever intend to bet on horses at the track, this is a very good problem to understand.

Place and show would be very handy too, but that goes beyond this question.

I think you forgot to attach the picture w/ the question . .

Answer:

Option F, y = 2x + 5 would be the right answer

Hope this helps!

Answer:

Option F would be correct.

Hope this helps<3

Have a good day :)

~Amy

9514 1404 393

Answer:

  (x, y) = (61/23, 36/23)

Step-by-step explanation:

We assume you intend the equations to be ...

Then in general form, they are ...

  5x -4y -7 = 0

  2x +3y -10 = 0

The solution using the "cross multiplication method" is ...

  1/(15 +8) = x/(40+21) = y/(-14 +50)

  (x, y) = (61/23, 36/23)

_____

Comment on "cross multiplication method"

When the coefficients from the general form equations are written as a 2×4 array with the first and last columns the same ...

  [tex]\left\{\begin{array}{cccc}5&-4&-7&5\\2&3&-10&2\end{array}\right\}[/tex]

the solution is 1/d1 = x/d2 = y/d3, where d1, d2, d3 are the determinants of successive pairs of columns.

Answer:

17.1≤x≤23.1

Step-by-step explanation:

The formula for calculating the confidence interval is expressed as;

CI = x ± z*s/√n

x is the mean yield = 20.1

z is the 80% z-score = 1.282

s is the standard deviation = 7.66

n is the sample size =  11

Substitute

CI = 20.1 ± 1.282*7.66/√11

CI = 20.1 ± 1.282*7.66/3.3166

CI = 20.1 ± 1.282*2.3095

CI =  20.1 ±2.9609

CI = (20.1-2.9609, 20.1+2.9609)

CI = (17.139, 23.0609)

hence the required confidence interval to 1dp is 17.1≤x≤23.1

Answer:

Volume of a cylinder.

Step-by-step explanation:

The given equation is :

[tex]V=\pi r^2 h[/tex]

Where

r is the radius

h is the height

This equation is used to find the volume of a cylinder.

For example, a cylinder having radius of 7 units and height of 10 units, its volume will be :

[tex]V=\dfrac{22}{7}\times 7^2\times 10\\\\V=1540\ \text{unit}^2[/tex]

So, the given equation is used to find the volume of a cylinder.

Answer:

Hence, the margin error is [tex]1415.62189[/tex] and the confidence interval for the mean is [tex](41234.38,44065.62)[/tex].

Step-by-step explanation:

Given :

Sample size [tex]n=135[/tex]

Sample mean [tex]\bar{x}=\$42,650[/tex]

Standard deviation [tex]\sigma =\$8,988[/tex]

Confidence level is [tex]93\%[/tex]

(a)  

The margin error [tex]=Z_{\frac{\alpha}{2}}\times \frac{\sigma}{\sqrt{n}}[/tex]

 [tex]\because \alpha =1-[/tex]confidence level

     [tex]\Rightarrow \alpha=1-93\%=1-0.93[/tex]

     [tex]\Rightarrow \alpha=0.07\Rightarrow \frac{\alpha}{2}=0.035[/tex]

   [tex]Z_{\frac{\alpha}{2}}=Z_{0.035}=1.83[/tex] from the [tex]z-[/tex]table

Now, the margin error[tex]=1.83\times \frac{8988}{\sqrt{135}}[/tex]

   [tex]=1415.62189[/tex]

(b)

The confidence interval for the mean [tex]\mu\\[/tex] :

    [tex](\bar{x}-\text{margin error},\bar{x}+\text{margin error})[/tex]

[tex]\Rightarrow (\bar{x}-1415.62189,\bar{x}+1415.62189)[/tex]

[tex]\Rightarrow (42650-1415.62189,42650+1415.62189)\\\Rightarrow (41234.38,44065.62)[/tex]

Answer:

Let price of drink be x

price of tub y

You have 4x+2y=32.5 (1) and

x = y -3.5 (2)

Plug for x from (2) into (1):

4(y-3.5) + 2y = 32.5

4y -14 +2y = 32.5

6y = 14+32.5

y = (46.5)/6 = $7.75 the price of tub

x= y-3.5 = 7.75 - 3.5 = $4.75

Answer:

u² + 2u + 1

Step-by-step explanation:

In the question it's asking to find the the number in the blank to make the expression a perfect square.

Let the number in the blank be 'x'.

To guess 'x' , use the algebraic identity :- [tex](a + b)^2 = a^2 + (2 \times a \times b) + b^2[/tex]

While matching the expression with identity , the expression will look like this :- u² + 2ux + x²

In the expression given in the question , it's "2u" but after matching the expression with identity , it is found to be "2ux".

⇒ x = 1 (∵ If x will be 1 , then 2ux = 2×u×1 = 2u)

⇒ x² = 1

∴ The number in the blank is 1.

Answer:

d=8

Step-by-step explanation:

Firstly you need to get d by itself. To get d by itself you need to get 5 onto the other side. To do that you need to add 5 to 3 (because adding is the opposite of addition). Therefore you will get 8! So d = 8

Answer:

add 5 both sides making it

d=5+3

solve 5+3

=8

Answer:

-1

Step-by-step explanation:

The limit of a function f(x) as x tends to 'a' is obtained by substituting the value of a into f(x)

Here, f(x) = x ; as x - - > - 1

Limit of f(x) = - 1