In 2 + In 8 - In 4
In 4
In 6
In 64
DONE

Answer: w=12, y=6√3

Step-by-step explanation:

Looking at the figure, we can split the triangle into 2 separate triangles. One on the left and one on the left. The triangle on the right is a 30-60-90 triangle. For this triangle, the hypotenuse is 2x in length. This is directly opposite of the right angle. The leg opposite to 30° is x in length. The leg opposite 60° is x√3 in length. Once you know the length of one side, you can plug in x to find the length of the other legs.

In this case, w and y are located on the same 30-60-90 triangle. Normally we would focus on that triangle to find our values, but in this instance, we don't have any values. We have to use the left triangle to find the leg that both triangles share.

The left triangle is a 45-45-90 triangle. For this triangle, the legs opposite of 45° is x in length. The hypotenuse is x√2. Since we know the hypotenuse, we can use it to find x.

x√2=8

x=8/√2

x=5.7 or 6       [Let's use 6 so that it is easier to work with a whole number]

Now that we know x, we can find w and y. Going back to the right triangle, we know the hypotenuse is 2x. We plug in 6 to find the length.

w=2x

w=2(6)

w=12

We know the leg opposite of 60° is x√3. We can plug in x.

y=6√3

Answer:

The surface area of stand is 46 feet.

First

taking the upper rectangular prism only.

so we get

l=3

w=1

h=3

surface area of rectangular prism = 2lw+2lh+2hw

= 2×3×1+2×3×3+2×3×1

= 30

taking the lower rectangular prism only.

surface area of rectangular prism = 2lw+2lh+2hw

=2×7×2+2×1×7+2×2×1

=46

add both the rectangular prism.

we get,

30+46

76

Yes, $15 is enough

Taking out the square of all the rectangle the total would be 52m²

52/25×6.79 ( as 6.79 dollars for 25 m²)

$14.1232

Answer:

freecoins

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Using the formula

S = r∅

Where s is Arc length,l

R is radius

∅ is radian measure for angle RAD

Substituting

L = R∅

So

∅ = L/R

Answer:

The apple cost RS 18.24 per kg, while

the orange cost RS 91.18 per kg.

Step-by-step explanation:

Let the cost of 1kg if apple and orange be RS A and RS O respectively.

From the first line:

4A +6O= 620

2A +3O= 310 -----(1) (÷2 throughout)

From the information given in second line:

O= 5A -----(2)

subst. (2) into (1):

2A +3(5A)= 310

2A +15A= 310 (expand)

17A= 310 (simplify)

A= 310 ÷17 (÷17 on both sides)

A= 18.235 (5 s.f.)

A= 18.24 (2 d.p.)

Subst. into (2):

O= 5(18.235)

O= 91.18 (2 d.p.)

Answer:

B. Isosceles triangle

Answer: obtuse and isosceles <3

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

Margin of error = critical value × standard error

ME = CV × SE

The critical value at 98% confidence is z = 2.326.

Standard error is SE = σ / √n.

4 = 2.326 × 12 / √n

n = 49

Answer:

square root of 72

Step-by-step explanation:

Answer:

(c) square root of 72

Step-by-step explanation:

khan academy answer :)

Answer:

Since the blue graph is the red graph translated 3 units to the left the answer is D.

Answer:

G

Step-by-step explanation:

Point G is coplanar with points B, C, H.

Answer:

The quotient of 241 ÷ 5 is 48.

Step-by-step explanation:

Division is splitting into equal parts or groups.

The quotient is the answer after we divide one number by another.

To find the quotient 241 ÷ 5 you must:

Write the problem in long division format

[tex]5\overline{|\smallspace241}[/tex]

Divide 24 by 5 to get 4

Multiply the quotient digit 4 by the divisor 5

Subtract 20 from 24

Bring down the next number of the dividend

Divide 41 by 5 to get 8

Multiply the quotient digit 8 by the divisor 5

Subtract 40 from 41

[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{241}{5}\:\mathrm{is}\:48\:\mathrm{with\:remainder\:of}\:1\\\\48\quad \mathrm{Remainder}\quad \:1[/tex]

Answer:

3

Step-by-step explanation:

27^1/3 = cuberoot(27) = 3

Answer:

85.56% probability that less than 6 of them have a high school diploma

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school diploma, or they do not. The probability of an adult having a high school diploma is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

50% of adult workers have a high school diploma.

This means that [tex]p = 0.5[/tex]

If a random sample of 8 adult workers is selected, what is the probability that less than 6 of them have a high school diploma

This is P(X < 6) when n = 8.

[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{8,0}.(0.5)^{0}.(0.5)^{8} = 0.0039[/tex]

[tex]P(X = 1) = C_{8,1}.(0.5)^{1}.(0.5)^{7} = 0.0313[/tex]

[tex]P(X = 2) = C_{8,2}.(0.5)^{2}.(0.5)^{6} = 0.1094[/tex]

[tex]P(X = 3) = C_{8,3}.(0.5)^{3}.(0.5)^{5} = 0.2188[/tex]

[tex]P(X = 4) = C_{8,4}.(0.5)^{4}.(0.5)^{4} = 0.2734[/tex]

[tex]P(X = 5) = C_{8,5}.(0.5)^{5}.(0.5)^{3} = 0.2188[/tex]

[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0039 + 0.0313 + 0.1094 + 0.2188 + 0.2734 + 0.2188 = 0.8556[/tex]

85.56% probability that less than 6 of them have a high school diploma

Answer:

a. [tex]x^2-6x-8=0[/tex]

b. [tex]x^2-6x=8[/tex]

c.

[tex]\frac{1}{2}[/tex] (Coefficient of x) = [tex]\frac{-6}{2}=-3[/tex]

Also, [tex](-3)^2=9[/tex]

d. [tex]x^2-6x+9=17[/tex]

e. [tex](x-3)^2=17[/tex]

f, g. [tex]x=3\pm \sqrt{17}[/tex]

Step-by-step explanation:

Given: [tex]2x^2-12x-16=0[/tex]

To solve: the given equation

Solution:

a.

[tex]2x^2-12x-16=0[/tex]

Coefficient of [tex]x^2=2[/tex]

Divide both sides by 2

[tex]x^2-6x-8=0[/tex]

b.

[tex]x^2-6x=8[/tex]

c.

Coefficient of x = -6

[tex]\frac{1}{2}[/tex] (Coefficient of x) = [tex]\frac{-6}{2}=-3[/tex]

Also, [tex](-3)^2=9[/tex]

d.

Add 9 to both sides of the equation: [tex]x^2-6x=8[/tex]

[tex]x^2-6x+9=8+9\\x^2-6x+9=17[/tex]

e.

[tex]x^2-6x+9=17\\x^2-2(3)x+3^2=17\\(x-3)^2=17\,\,\left \{ \because (a-b)^2=a^2+b^2-2ab \right \}[/tex]

f.

[tex](x-3)^2=17\\x-3=\pm \sqrt{17}\\x=3\pm \sqrt{17}[/tex]

g.

[tex]x=3\pm \sqrt{17}[/tex]

Answer:

y = -3x+4

Step-by-step explanation:

An initial value of 4 would be the y intercept

The only function with a y intercept of 4

(y = mx+b where b is the y intercept)

is y = -3x+4

Answer:

24 ways

Step-by-step explanation:

1) In Combinatorics when we arrange a number and the order matter, we call it arrange the possibilities. For this exercise let's not use formulas but reasoning.

2) For this case we need a two figure number. Since we have seven numbers.

Since there is no repetition, all the possibilities are:

[tex]7*6=42[/tex]

3) But there is a restriction it's forbidden adjacent even and odd numbers: These numbers we don't want them:

13 15 17

24 26

31 35 37

42 46

51 53 57

62 66

71 73 75

18 non desirable results

The total arrangements minus the not possible combinations, will match the possible results:

[tex]42-18=24[/tex]

3) Just for checking, we have here the allowed combinations:

12 14 16

21 23 25 27

32 34 36

41 43 45 47

52 54 56

61 63 65 67

72 74 76  

A total of 24 possible ways.

Answer:

The correct option is (A).

Step-by-step explanation:

If the reduced row echelon form of the coefficient matrix of a linear system of equations in four different variables has a pivot, i.e. 1, in each column, then the reduced row echelon form of the coefficient matrix is say A is an identity matrix, here I₄, since there are 4 variables.

[tex]\left[\begin{array}{cccc}1&0&0&0\\0&1&0&0\\0&0&1&0\\0&0&0&1\end{array}\right][/tex]

Then the corresponding augmented matrix [ A|B] , where the matrix is the representation of the linear system is AX = B, must be:

[tex]\left[\begin{array}{ccccc}1&0&0&0&a\\0&1&0&0&b\\0&0&1&0&c\\0&0&0&1&d\end{array}\right][/tex]

Now the given linear system is consistent as the right most column of the augmented matrix is a linear combination of the columns of A as the reduced row echelon form of A has a pivot in each column.

Thus, the correct option is (A).

Answer:

£149.5

Step-by-step explanation:

[tex]100 + 15 = 115\\115/100 = 1.15\\130 * 1.15 = 149.5[/tex]

The image of the stem-and-leaf plots is in the attachment.

Answer: (a) 31 years; (b) 59 years; (c) 56 years

Step-by-step explanation: Steam and leaf is a table that shows the digits of the data value split into a "stem", which represents the first digit, and a "leaf", which is the last digit.

For example, the first row of the table in the attachment, indicate a "stem" 2 and the first number of a "leaf" is 1, so the actress has 21 years.

(a) According to the table, the youngest actor to win an Oscar has a "stem" 3 and the first "leaf" from the right is 1, so the actor has 31 years.

(b) The oldest actress is 80 and the youngest is 21, so difference is:

80 - 21 = 59

The difference is 59 years.

(c) The oldest age shared by 2 actors is 56 years.

Answer:

[tex]x=1.464974[/tex]

Step-by-step explanation:

[tex]3^2+1 =3^x+5[/tex]

[tex]9+1 =3^x+5[/tex]

[tex]10 =3^x+5[/tex]

[tex]10-5 =3^x[/tex]

[tex]5=3^x[/tex]

[tex]log(3x)=log(5)[/tex]

[tex]x \times (log(3))=log(5)[/tex]

[tex]x=\frac{log(5)}{log(3)}[/tex]

[tex]x=1.464974[/tex]

Answer: 1.46497352 or 1.5

Step-by-step explanation:

Complete 3^2 to get 9, then add 1 to get 10

Then subtract 5 from both sides to get [tex]5=3^x[/tex]

Youre gonna have to apply a log rule here to get:

[tex]log_{3}5=x[/tex]

You get 1.46497352 or approximately 1.5

Answer:Any legal fraction (denominator not equal to zero) with a numerator equal to zero has an overall value of zero. all have a fraction value of zero because the numerators are equal to zero.

Answer:

   A)  $102,400

Step-by-step explanation:

For these answers, we must assume the increase is linear.

The two-point form of the equation for a line is ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

Filling in the given (x, y) values of (3, 25000) and (23, 68000), we have ...

  y = (68000 -25000)/(23 -3)(x -3) +25000

  y = 2150x +18,550

Then for x = 39, we find the predicted sales to be ...

  y = (2150)(39) +18,550 = 102,400

The predicted sales after 39 months is $102,400.

_____

The graph shows sales in thousands of dollars.

Answer:

The answer is 2.5 hours

Step-by-step explanation:

Answer: The value is 18.

Step-by-step explanation:

Since we already know what p, q, and r equal, we can use what we know and plug in the numbers:

p=7, q=5, and r=3,

p2=7*2=14

q2=5*2=10

r2=3*2=6

In conclusion, 14+10-6=18

The value of p2+q2-r2 is 18.

Answer:

Just simply change the variables with their values

7 x 2 + 5 x 2 - 3 x 2

14 + 10 - 6

24 - 6 = 18

18 is the answer

Hope this helps

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

First you want to find the least common denominator, which in this case would be 15. If you multiply 2/5 by 3, you get 6/15 which is less than 7/15

Answer:

2/5

Step-by-step explanation:

Answer:

y = (x+6) (x+1) or in quadratic form: y = x² + 7x + 6

Step-by-step explanation:

Answer:

Carole is 15

Joe is 3

Step-by-step explanation:

Carole's age is 15

Joes age is 3

3*5=15

15+3=18

Answer:

Carole = 15 Yrs

Joe = 3 Yrs

Step-by-step explanation:

15/5 =3

15+3 =18

Sry for the short explanation. Hope this helps!

Answer:

54 square units

Step-by-step explanation:

The formula for the area of a triangle is:

[tex]\frac{1}{2}[/tex] x base x height

The base is 12

The height is 9

So 1/2 x 12 x 9 = 54 square units

Answer:

Step-by-step explanation:

A possible study is to compare the prices of items in a two different online auction platform: the Dutch auction and the first-priced sealed auction.

Independent variable = the two types of auction

• Condition A = Dutch auction

• Condition B = First-price sealed auction

The Dependent variable in my case study is the prices for each pair of identical items I place in each auction using a known pair sample. The depends variable is measured in the continuous scale because prices are in numbers and these numbers vary continuously, it is not fixed.

The null hypothesis for my study would be: there is no difference in the prices of identical items in the two different auction.

The alternative hypothesis for my study would be: there is a difference in the prices of identical items in the two different auction.

I would set it to the 0.05 level of significance because this is the standard level of significance normally set in a study although this varies.

Answer:

D

Step-by-step explanation:

Mean = (4+4+5+8+9) / 5

            30 / 5

             6

Median = put them in order and the one in the middle is the median.

                4, 4, 5, 8, 9

Mode = the most common

            4, 4, 5, 8, 9

Answer:

10.7 CM

Step-by-step explanation:

Correct on Edge 2020

Answer:

answer is C  10.7 cm

Step-by-step explanation:

got it right on edg 2020-2021