what do you add to 3and 3/8 to make 6

Answer:

8 Liters

Step-by-step explanation:

Percentage of Alcohol in water= 2L X 0 =0

Percentage of Alcohol to be added = xL X 0.9 =0.9x

Therefore:

0+0.9x=0.72(x+2)

0.9x=0.72x+1.44

Collect like terms

0.9x-0.72x=1.44

0.18x=1.44

Divide both sides by 1.44

x=8 Liters

Therefore, Shanice must add 8 Liters of 90% alcohol solution to create the desired mixture

Answer:

B. 3(a + 4)

Step-by-step explanation:

Divide by a factor of 3:

3a/3 = a

12/3 = 4

Therefore, 3(a + 4) is equivalent to 3a + 12.

Largest even integer which cannot be written as the sum of two odd composite numbers is 38 if it is divisible by at least one positive integer other than 1 and itself.

The positive even integers which cannot be expressed as the sum of 2 composite odd numbers are: 2,4,6,8,10,12,14,16,20,22,26,28,32,38. This sequence is A118081.

All we have to do now is check the even numbers smaller than  44

. The largest,  42 is a multiple of  3 so it’s handled as  42=9+33 and the next one down,  40 is handled as  40=25+15.But the next one down is our culprit:  38 is not the sum of two odd composite numbers, as you can readily check.

First, what are these “odd composite numbers” anyway? The number  1is considered neither prime nor composite (it’s a unit), so it’s out.  3,5 and  7 are prime. The smallest odd composite number is, therefore,  9 and the next one is  15 .So we have  18=9+9 24=9+1 and  30=15+15 as some even numbers which can be written as a sum of two odd composites, but so far it doesn’t look promising: plenty of even numbers, like  10 or  20 or  32 cannot be so written.

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From the Bayes' theorem, the proportion of probability of adults for which the test would be positive is equals to the 0.02097.

The Bayes' theorem, generally defines as the Bayes' rule, is a mathematical formula used in statistics and probability theory. We have a data of adults having a rare disease about the a diagnostic test. Let us consider two events defined as

A : person or adult has disease

B : test indicate person or adult has disease

Probability that a selected adult has a rare disease for which a diagnostic test developed, P(A) = 0.001

Probability the test will be positive (a person with the disease, P( B|A ) = 0.99

Probability the test will be positive( a person without the disease), P( B|A')

= 0.02

We have to determine the probability or proportion adults for which the test would be positive, i.e., P(B). Using the conditional probability theorem, \(P(B|A) = \frac{ (A ∩B) }{P(A)} = P(A|B)\frac{P(B)}{P(A} \)

P(B) = P( B∩A) + P(B ∩ A')

= P( B|A)P(A) + P( B|A')P(A')

\(P(A') = 1 - P(A) = 1 - 0.001 = 0.999 \)

substitute all known values in above formula,

=> P(B) = 0.99 × 0.001 + 0.02× 0.999

= 0.00099 + 0.01998

= 0.02097

Hence, required value is 0.02097.

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Answer:

a. The number of custom necklaces that can be manufactured if each requires 2 7/8 ounces of gold is 74 necklaces.

b. The value of the gold in each necklace is $1761

Step-by-step explanation:

(a) Number of necklaces

2\(7/8\) ounces of gold=2.875

No of necklaces=212.75oz x 1 necklaces/2.875oz

                          =74 necklaces

(b)Value of gold in each necklace

There are 2.875 oz of 14K gold in each necklace. Pure gold is 24K.

Mass of pure gold=2.875oz x 14k/24k

                              =1.677083oz

Pure 24K gold is worth $1050/oz.

Value of pure gold=1.677oz x 1050/1oz

                              = 1760.9 dollars

The value of the gold in each necklace is $1761

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The number of custom necklaces that can be manufactured if each requires 2 7/8 ounces of gold is 74 necklaces and the value of the gold in each necklace is $ 1761.

2 ounces of gold = 2.875 oz.

Number of necklaces = 212.75 oz. x 1 necklaces / 2.875 oz.

                         = 74 necklaces

Value of gold in each necklace

There are 2.875 oz. of 14K gold in each necklace.

Mass of pure gold=2.875 oz. x 14 k / 24 k

                             = 1.677083 oz.

Pure 24K gold is worth $ 1050 / oz.

Value of pure gold= 1.677oz x 1050 / 1oz

                             = 1760.9 dollars

The value of the gold in each necklace is $1761

Therefore, the number of custom necklaces that can be manufactured if each requires 2 7/8 ounces of gold is 74 necklaces and the value of the gold in each necklace is $ 1761.

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Answer:

D = 3 √5 units

Step-by-step explanation:

Here, we want to find the distance between these two points

to get this, we use the distance formula as follows

D = √(x2-x1)^2 + (y2-y1)^2

so we have for (3,-6) and (9,-3)

D = √(3-9)^2 + (-6 + 3)^2

D = √(36 + 9)

D = √(45)

D = 3√5 units

The distance between points P1 and P2, given as P1 = (-3, 2) and P2 = (-4, 6), can be calculated using the distance formula in coordinate geometry.

To find the distance between two points in a two-dimensional plane, we can use the distance formula, which is derived from the Pythagorean theorem. The distance formula states that the distance between two points (x1, y1) and (x2, y2) is given by the square root of [(x2 - x1)^2 + (y2 - y1)^2].

Applying the formula to the given points P1 = (-3, 2) and P2 = (-4, 6), we can calculate the distance as follows:

dx = -4 - (-3) = -4 + 3 = -1

dy = 6 - 2 = 4

Plugging these values into the distance formula:

distance = sqrt[(-1)^2 + 4^2] = sqrt[1 + 16] = sqrt(17)

Therefore, the distance between P1 and P2 is sqrt(17) or approximately 4.123 units.

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Answer:

Look Below

Step-by-step explanation:

The formula for a circle is πr².

Therefore, we can divide the area of the circle by 3.14, and then square root it. 490.63/3.14=156.25... If you square root that, you get 12.5. Same thing with the other circle. 219.45/3.14=69.888... If you square root that, you get 8.36. Now that we have the radius, we can multiply that by two to find the diameter. And we're done.

Feel free to tell me if I did anything wrong! :)

\(y = 50(0.95)^t\) represents exponential decay with 5%.

Exponential decay is a mathematical function that describes the decrease in value of a variable over time. The general formula for exponential decay is:

\(y = a(1 - r)^t\)

where:

To represent exponential decay with a rate of 5%, we need to set r = 0.05. If the initial value is 50, then the function becomes:

\(y = 50(1 - 0.05)^t\)

Simplifying this expression, we get:

\(y = 50(0.95)^t\)

This is the function that represents exponential decay with a rate of 5% and an initial value of 50.

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Answer:

d

Step-by-step explanation:

Hope this helps! Good luck!

Answer:

  19 ft

Step-by-step explanation:

The perimeter of a rectangle is given by ...

  P = 2(L +W)

Filling in the given values, we have ...

  78 = 2(20 +W)

  39 = 20 +W . . . . . divide by 2

  19 = W . . . . . . . . subtract 20

The width of the rectangular pen is 19 feet.

Answer:

B

Step-by-step explanation:

Because yes

The length of side PQ is 27 units

What is the perimeter of the triangle?

The complete length of a triangle's boundary is referred to as its perimeter. It is the total of the triangle's three sides.

Here, we have

The perimeter of the triangle: P = 50 units

PR = 4z

PQ =3 z+3

QR = z-1

We need to determine z

The formula to calculate the perimeter of a triangle is:

P = PR + PQ + QR

Replacing in the formula:

50 = 4z + 3z+3 + z-1

48 = 6z

z = 8

Now we put the value of z in the given sides

PR = 4z = 4×8 = 32

PQ =3 z+3 = 3×8 + 3 = 27

QR = z-1 = 8 - 1 = 7

Hence, the length of the side PQ is 27 units.

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Answer:

C. 3 3/8

Steps:

1/8-(-5+3/4)= x + 1

1/8 - (-20+3/4) = x+ 1

1/8 - (-17/4)=x+1

1/8 +17/4= x + 1

1+17x2 /8= x+1

1+34 /8= x+1

35/8 = x + 1

x= 35/8 -1

x= 35-8 /8

x=27/8

x=3 3/8

Answer:

It would be 7.07 approximately.

The property of vectors that is incorrect is "Oa· (b + c) = a · b + a.c = (a + b ) + c = a +(b + c)". The correct property is "Oa· (b + c) = Oa·b + Oa·c".

The incorrect property of vectors among the given options is:

Oa·b = axb

This property is incorrect because the dot product (a·b) and cross product (axb) of two vectors are different operations with different results. The dot product is a scalar value, while the cross product is another vector that is orthogonal to the given vectors. The correct properties of vectors in your question are:

1. a x b = -b x a (cross product)
2. a · (b + c) = a · b + a · c (dot product distributive property)
3. (a + b) + c = a + (b + c) (vector addition associativity)

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Answer:

4m^7y^2/-3

Step-by-step explanation:

\(6 \times (3 + 8) \\ = (6 \times 3) + (6 \times 8)\)

Answer:

(6×3)+(6×8)

Hope you could get an idea from here.

Doubt clarification - use comment section.

The value of the expression is the same as the second option: !a || (b & !c).

Boolean variables are variables that can have only one of two possible values: true or false. They are named after the 19th-century mathematician George Boole, who developed a system of logic based on binary values. In computer programming, boolean variables are commonly used to represent conditions or states that can be either true or false, such as whether a certain condition is met or whether a certain task has been completed.

The expression !(a & !(b & !c)) can be simplified using De Morgan's laws and distributive property to obtain:

!(a & !(b & !c)) = !a || (b & !c)

Therefore, the value of the expression is the same as the second option: !a || (b & !c).

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Answer:

\((4 {x}^{2} - 25)^{2} - 9(2x - 5)^{2} = 0 \\ \\ {(4 {x}^{2} - 25)} (4 {x}^{2} - 25) - 9(2x - 5)(2x - 5) = 0 \\ \\( 16 {x}^{4} - 200 {x}^{2} + 625) - 9(4 {x}^{2} - 20x + 25) = 0 \\ \\ (16 {x}^{4} - 200 {x}^{2} + 625) + ( - 36 {x}^{2} + 180x - 225) = 0 \\ \\ 16 {x}^{4} - 236 {x}^{2} + 180x + 400 = 0 \\ \\ 4(x + 1)(x + 4)(2x - 5)^{2} = 0 \\ \\ x + 1 = 0 \\ x = - 1 \\ \\ x + 4 = 0 \\ x = - 4 \\ \\ {(2x - 5)}^{2} = 0 \\ 2x - 5 = 0 \\ 2x = 5 \\ x = \frac{5}{2} \)

I hope I helped you^_^

Answer:

6 is the answer

Hope that helps.
Let me know if im wrong :)

Step-by-step explanation:

Answer:

1.0

2.3

3.6

Step-by-step explanation:

3*0=0

3*1=3

3*2=6

By doing this, Pablo is likely trying to draw attention to the data on bottles, which may be of particular interest or importance in his analysis.

The yellow highlight can make the data stand out more visually, making it easier for viewers to quickly identify and understand the information presented.

Data visualization tools can be useful in helping to communicate complex information in a clear and concise way. By using different colors, shapes, and visual elements, it is possible to highlight key data points and make patterns and trends more apparent.

This can be especially useful in business, scientific, and academic settings, where data analysis and communication are important skills.

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\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)

Answer:

B

Step-by-step explanation: