Find the sum. 2 3/
6 + 4 1/6​

Answer:

12 pints

Step-by-step explanation:

Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.

This common convenience, already-existing variables, or all important elements from the original Diocesan customizable survey that followed a particular event methodology can all be used to achieve the goal. If it does, there will be another chance to get in touch with the entity. If it doesn't, each of the crucial elements of a term proof outcome will surely be lost.

Here,

The quantity of punch produced by the recipe is:

If the punch bowl has an 8-quart capacity and the recipe fills it 3/4 full.

=> 6 pints =  8 * 3/4.

The formula yields 6 quarts of punch as a result.

Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.

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Answer:

6 teaspoons of baking powder

Answer:

Step-by-step explanation:

The unknown is 5 I.e

1+5 = 6

5 + 5 = 10

8 + 5 = 13

Then n + 5

A. \( \cos \: x - 4 \: \cos \: x \: { \sin}^{2}x\) (first option)

➡️ \( \cos(x + 2x) \)

➡️ \( \cos \: x \: { \cos}^{2} x - \sin \: x \: { \sin }^{2} x\)

➡️ \( \cos \: x(1 - 2 \sin^{2}x) - \sin \: x \times 2 \sin(x) \cos(x) \)

➡️ \( \cos(x) - 2 \sin^{2} x \cos(x) - 2 \sin^{2} x \cos(x) \)

➡️ \( \cos(x) - 4 \cos(x) \sin^{2} x\)

Answer:

D. 9

Step-by-step explanation:

When you add 1 + 4 + 5 + 5 + 5 + 6 + 9 + 10 + 10 + 11 + 12 + 12 + 15 + 15 + 15 = 135. Which is all of the numbers given to you, and since mean is when you add all of the numbers together, and than divide it by the amount of numbers there, you will take that 135 and divide it by 15. 135 / 15 = 9. Which gets you to finally getting an answer of 9. so D. 9 is correct.

Answer:

C. 8.5

Step-by-step explanation:

Moment about the pivot must be equal for the seesaw to balance. Initially, the first cat and the bowl are at 2 m from the pivot.

The moment due to cat = 5.3*2 = 10.6 kg.m

The moment due to bowl = 2.5*2 = 5 kg.m

The unbalanced moment = 10.6 - 5 = 5.6 kg.m

Therefore, the 3.7 kg cat should stand at a distance x from the pivot in left to balance the 5.6 kg.m.

That is,

3.7*x = 5.6 => x = 5.6/3.7 = 1.5134 m to the left (on the side of the bowl)

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When a person places $48,800 in an investment account at an annual rate of 3.1% compounded continuously, using the formula, V = \(Pe^rt\), the amount of money (future value) after 13 years is $73,019.78.

Compounding refers to the process or interest system that computes periodic or continuous interest on both the principal and accumulated interest.

We can solve for the future value of an investment under continuous compounding using an online finance calculator as follows:

Using the formula V = \(Pe^rt\)

Principal (P) = $48,800.00

Annual Rate (R) = 3.1%

Compound (n) = Compounding Continuously

Time (t in years) = 13 years

Result:

V = $73,019.78

V = P + I where

P (principal) = $48,800.00

I (interest) = $24,219.78

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 3.1/100

r = 0.031 rate per year,

Solving the equation for V:

V = \(Pe^rt\)

V = \(48,800.00(2.71828)^(0.031)(13)\)

V = $73,019.78

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Answer:

answers below

Step-by-step explanation:

opposite angles are equal

angles can and mat are opposite

18x-1 = 15x+20

3x = 21

x=7

angle can = 53

angle mac = 180-53 = 127

angle mat = 65

angle tan = 180-65 = 115

Answer:

2/4 1/2 5/10 6/12 10/20

Step-by-step explanation:

just pick an even denominator and take half of that number for the numerator. This only works because the most basic form of 4/8 is 1/2. This method only works if your selected fraction is equivalent to 1/2.

The hip breadth for males that separates the smallest 99% from the largest 1% is determined to be 17.03 inches using the Z-score formula and percentile calculations.

According to the question, the engineers want to design seats in commercial aircraft that can accommodate at least 99% of all males. The mean and standard deviation of male hip breadth are 14.9 in. and 1.1 in., respectively.

To determine P99, we need to find the hip breadth for males that separates the smallest 99% from the largest 1%. The value of P99 can be determined using the Z-score formula, which is given by Z = (X - μ)/σ where X is the raw score, μ is the mean, σ is the standard deviation and Z is the standard score.

Since we are looking for the hip breadth for males that separates the smallest 99% from the largest 1%, we need to find the Z-score for the 99th percentile.

Using a Z-score table, we can find that the Z-score for the 99th percentile is 2.33. Substituting the given values into the Z-score formula, we get 2.33 = (X - 14.9)/1.1. Solving for X, we get:X = 2.33(1.1) + 14.9 = 17.03 inches

Therefore, the hip breadth for men that separates the smallest 99% from the largest 1% is 17.03 inches.

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Answer:

Step-by-step explanation:

Hello ;  

y= -6

The rule of the volume of a cylinder is

Where:

r is the radius of its base

h is its height

The given is:

V = 1810 cubic feet

r = 12 feet

Substitute them in the rule above

To find h divide both sides by 144 pi

h = 4 feet

Answer:

the difference is -46 degrees

Step-by-step explanation:

Answer:

the equation does not proove

Step-by-step explanation:

l.h.s

(3-5)(4)

12-20

-8

r.h.s

3(4)-5

12-5

7

therefore, l.h.s is not equal to r.h.s so the equation is wrong

Answer:

The margin of error for the 94% confidence interval is 0.6154.

Step-by-step explanation:

The (1 - α)% confidence interval for population mean is:

\(CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\)

The margin of error of this interval is:

\(MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\)

The critical value of z for 94% confidence level is, z = 1.88.

Compute the margin of error for the 94% confidence interval as follows:

\(MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\)

          \(=1.88\times\frac{3}{\sqrt{84}}\\\\=0.6154\)

Thus, the margin of error for the 94% confidence interval is 0.6154.

Answer:

2

Step-by-step explanation:

5-3=2 you subtract to get the answer

Answer:

2 in the bowl and 3 in the hand

Step-by-step explanation:

The final answer could be anywhere between 2 and 5 depending on what you did with the candy once it was taken out of the bowl. But, the most obvious answer would be 2 left and 3 technicallly gone

The side length of the the rectangular garden are 20 feet by 5 feet.

Let

s = side length of the square garden

l = length of the rectangular garden

w = width of the rectangular garden

From the problem statement,

area of the square garden = area of the rectangular garden

Since the area of a square is just the side length squared, we can write:

s² = l * w

We also know that the length of the rectangular garden is 10 feet longer than the side of the square garden, and that the width of the rectangular garden is 5 feet shorter than the side of the square garden. We can express them as:

l = s + 10

w = s - 5

Now we can substitute these expressions for l and w into our first equation:

s² = (s + 10) * (s - 5)

Expanding the right-hand side, we get:

s² = s² + 5s - 50

0 = 5s - 50

5s = 50

Dividing both sides by 5, we get:

s = 10

Since the side length of the square garden is 10 feet.

We can use this to find the dimensions of the rectangular garden:

l = s + 10 = 10 + 10 = 20

w = s - 5 = 10 - 5 = 5

So the dimensions of the rectangular garden are 20 feet by 5 feet.

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i think the answer is The 1st table represents a function

Lets explain how to solve the problem

- Function is a relation where each input has a single output

- The notation of the function is f(x) = y , where x is the input of the

function and y is the out put of the function

-  The domain of the function is x and the range of the function is y

* Lets find which table represent a function

# First table:

     x      y

    -3      -1

     0      0

    -2      -1

- In the first table

∵ -3 has only -1

∵ 0 has only 0

∵ -2 has only -1

∵ 8 has only 1

∵ Every x has a single y

∴ The table represents a function

∴ The 1st table represents a function

- In the second table

   x       y

   -5       -5

    0       0

   -5       5

    6       -6

∵ x = -5 has y = -5 and y = 5

∴ One x has two values of y

∴ The table doesn't represent a function

- In the third table

    x          y

   -4         8

   -2         2

   -2         4

    0         2

∵ x = -2 has y = 2 and y = 4

∴ One x has two values of y

∴ The table doesn't represent a function

- In the fourth table

    x          y

   -4         2

    3         5

   -4         0

∵ x = -4 has y = 2 and y = 0

∴ One x has two values of y

∴ The table doesn't represent a function

Answer:

It is 12

Step-by-step explanation:

Answer:

1675

Step-by-step explanation:

do people not have calculators?

Step-by-step explanation:

We start by subtracting the polynomial 150+70x-x^2+0.5x^3 from 270x-3x^2.

270x - 3x^2 - (150 + 70x - x^2 + 0.5x^3)

= 270x - 3x^2 - 150 - 70x + x^2 - 0.5x^3 (distributing the negative sign)

= -0.5x^3 - 2x^2 + 200x - 150

To multiply our answer, let's assume we are multiplying by x:

-0.5x^4 - 2x^3 + 200x^2 - 150x

Therefore, the subtraction and multiplication result in:

(-0.5x^3 - 2x^2 + 200x - 150) * x = -0.5x^4 - 2x^3 + 200x^2 - 150x

Answer:

-11

Step-by-step explanation:

Answer:

the probability you lose one or more friends is 0.9836

Step-by-step explanation:

 Given the data in the question;

P( you lose one or more friend ) = 1 - P( keeping all friends )

Now, keeping all friends is possible only when each friend receives red candy.

As there are only 9 red candies and 9 friends, 1 red candy needs to be given to each friend out of 9 candies

Thus, total candies given = 63

and each friend will get 8 non red and 1 red candy

Thus, P( keeping all friends )

= [ ⁹C₁ × ⁹C₁ × ⁹C₁ × ⁹C₁ × ⁹C₁ × ⁹C₁ × ⁹C₁ × ⁹C₁ × ⁹C₁ ] / × ⁶³C₉

SO

⁹C₁  = 9!/(1!(9-1)!) = 9 and ⁴⁹C₇ = 63!/(9!(63-9)!)  = 23,667,689,815

so

P( keeping all friends ) = [ 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 ] / 23,667,689,815

P( keeping all friends ) = 387,420,489 / 23,667,689,815 = 0.016369

P( you lose one or more friend ) = 1 - P( keeping all friends )

P( you lose one or more friend ) = 1 - 0.016369

P( you lose one or more friend ) = 0.9836

Therefore, the probability you lose one or more friends is 0.9836

Answer:

3b-1 = b-3

2b = 4

b = 2

Step-by-step explanation:

Answer:

x=-6

Step-by-step explanation:

since y varies directly with x

it means y=Kx, and k=y/x

when y=6, and x=-2

k=6/-2=-3

But when y=18, x will be given by

x=y/k

x=18/-3,. x=-6

Answer:

\(\huge\boxed{\sf 38}\)

Step-by-step explanation:

= a³ + b (6 + c)

Put a = 2, b = 3 and c = 4

= (2)³ + 3 (6 + 4)

= 8 + 3(10)

= 8 + 30

\(\rule[225]{225}{2}\)

Answer:

Step-by-step explanation:

the requied answer is 38.

according to the question the value of a=2,b=3,c=4.

here,

to find the value of   a³ + b (6 + c)we have to do it in steps:

step 1: solve the bracket (6+4) =10.

step 2:  solve the value of a³ =8.

now put these values ,

=8+3(10)

=38.

Answer:

f(x) is shifted 7 units to the right.

Answer:

f(x) is shifted 7units to the right

\(\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad \stackrel{ \textit{we'll use this one} }{a^{log_a (x)}=x} \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_5(x-7)=2\implies 5^{\log_5(x-7)}=5^2\implies x-7=5^2 \\\\\\ x-7=25\implies x=32\)

Answer:

\(V(x) = 4x^3 - 24x^2+35x\)

Step-by-step explanation:

Given

\(V(x) = (7 - 2x)(5 - 2x)(x)\)

Required

Expand the expression

\(V(x) = (7 - 2x)(5 - 2x)x\)

Expand bracket

\(V(x) = (7 - 2x)(5 * x - 2x * x)\)

\(V(x) = (7 - 2x)(5x - 2x^2)\)

Further expand bracket

\(V(x) = 7(5x - 2x^2) - 2x(5x - 2x^2)\)

\(V(x) = 35x - 14x^2 - 10x^2 + 4x^3\)

\(V(x) = 35x - 24x^2 + 4x^3\)

\(V(x) = 4x^3 - 24x^2+35x\)