Which graph shows the solution to this system of inequalities
y2-3x+1
yo 21-3

Answer:

218,048. skeins

Step-by-step explanation:

This question is built to throw you off by not telling you about the information in order.

First, the polypay sheep produces 9.9 pounds of wool.

Then, each pound produces 10.95 miles of yarn.

And finally, the yarn is packaged into skeins that are 175 yards each.

Each polypay sheep is 9.9 pounds. And we will use that total weight to find the amount of yarn in miles.
Then we will split up that yarn into equal pieces to make skeins.

BUT, the pieces are measured in yards, so we will have to convert the miles of yarn into an equivalent amount in yards as well. (Unmatched units of measurements don't mix well).

So, our equation will look like this:

(#of sheep) \(\times\) (9.9 pounds per sheep) \(\times\) (10.95 miles per yarn) \(\times\) (1760 yards per mile) \(\div\) (175 skeins per yard)

The number of sheep Bill has is 200.

So, we plug that into the number model we made.

\(200\times9.9\times10.95\times1760\div175\)

We end up with:

218,048.914

The decimal indicates that there is a remaining amount of yarn that couldn't be properly packaged into a skein.

Since, that remainder is not a complete skein, we must ignore its existence.

So the number of skeins expected is:

218,048

The number of skeins of yarn is Bill's flock expected to produce in one year is 1819.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, a polypay sheep produces an average 9.9 pounds of wool annually.

Farmer Bill has a flock of 200 polypay sheeps

So, total weight of wool is 9.9×200

= 1980 pounds

One pound of wool makes 10.95 miles of yarn.

So, the number of yarns = 1980/10.95

= 180.82 miles of yarn

We know that, 1 mile =1760 yards

Then, 180.82 miles

= 318243.2 yards

This wool is cleaned, spun into yarn and then packaged into skeins of 175 yards of yarn each.

Number of skeins = 318243.2/175

= 1819

Therefore, the number of skeins of yarn Bill's flock expected to produce in one year is 1819.

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The probability that no births will occur today is 0.1353 (approximately) found by using the Poisson distribution.

Given that the number of births in a local hospital follows a Poisson distribution and averages λ per day.

To find the probability that no births will occur today, we can use the formula of Poisson distribution.

Poisson distribution is given by

P(X = x) = e-λλx / x!,

where

P(X = x) is the probability of having x successes in a specific interval of time,

λ is the mean number of successes per unit time, e is the Euler’s number, which is approximately equal to 2.71828,

x is the number of successes we want to find, and

x! is the factorial of x (i.e. x! = x × (x - 1) × (x - 2) × ... × 3 × 2 × 1).

Here, the mean number of successes per day (λ) is

λ = 2

So, the probability that no births will occur today is

P(X = 0) = e-λλ0 / 0!

= e-2× 20 / 1

= e-2

= 0.1353 (approximately)

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The functions that are equivalent are

What are roots of a number?

The root of a number is the inverse of the exponents. for instance

a squared has an inverse of square root of a.  

mathematically:

a^2 = (a)^1/2  has an inverse of √a

The data given:

\(\sqrt[4]{162^{x} }\)

Solving the given data for the equivalence

\(\sqrt[4]{162^{x} }=162^{x/4}\)

The above proves option A correct

\(\sqrt[4]{(3*3*3*3*2)^{x} }\)

\(\sqrt[4]{(3^{4} *2)^{x} }\)

\((3\sqrt[4]{(2) })^{x}\)

The above solution makes option B correct

\((3\sqrt[4]{(2) })^{x}=(3{(2)^{1/4} })^{x}\)

The above proves Option D correct

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complete question

Which functions are equivalent to f (x) = RootIndex 4 StartRoot 162 EndRoot Superscript x? Check all that apply.

f (x) = 162 Superscript StartFraction x Over 4

f (x) = (3 RootIndex 4 StartRoot 2 EndRoot) Superscript x

f (x) = 9 RootIndex 4 StartRoot 2 EndRoot Superscript x

f (x) = 126 Superscript StartFraction 4 Over x

f (x) = left-bracket 3 (2 Superscript one-fourth Baseline) right-bracket Superscript x

Answer:

A

Step-by-step explanation:

Answer:

A) m=0

Step-by-step explanation:

It is true that if two lines of the system of linear equations or coinciding with each other on the coordinate plane they have infinite many solutions

Linear equations are equations whose powers are 1.  The intersection of the lines are the solutions to the equations.

On the coordinate plane, the solution set of the linear equation is the point of intersection.

Using the idea of slope, we notice that a increase in y results to an increase in x vice versa.

If the point of intersection in the first instance is left to a second point it forms a second solution to the linear equations. it continuous in that order to infinity.

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(a) The probability of selecting both green cellphones is 0.5102. (b) The probability of selecting 1 green and 1 yellow cellphone is 0.2041.

If we are sampling with replacement, it means that after each selection, the cellphone is returned to the box before the next selection is made. Therefore, the probability of selecting a cellphone remains the same for each draw.

(a) P(both green):

The probability of selecting a green cellphone from a box of 7 cellphones containing 5 green and 2 yellow cellphones is:

P(selecting green) = number of green cellphones / total number of cellphones

                 = 5 / 7

Since we are sampling with replacement, the probability of selecting a green cellphone on the first draw and then selecting another green cellphone on the second draw is the product of the individual probabilities:

P(both green) = P(selecting green on first draw) * P(selecting green on second draw)

             = (5 / 7) * (5 / 7)

             = 25 / 49

             ≈ 0.5102 (rounded to four decimal places)

Therefore, P(both green) is approximately 0.5102.

(b) P(1 green and 1 yellow):

The probability of selecting a green cellphone on the first draw and a yellow cellphone on the second draw is:

P(1 green and 1 yellow) = P(selecting green on first draw) * P(selecting yellow on second draw)

                       = (5 / 7) * (2 / 7)

                       = 10 / 49

                       ≈ 0.2041 (rounded to four decimal places)

Therefore, P(1 green and 1 yellow) is approximately 0.2041.

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The volume of the different shapes have been calculated in the space below

Volume of rectangular prism = lwh

where we define the variables as :

l = length

w = width

h = height

then when we multiply, we will have

= 4 x 10 x 6

= 240

Volume of triangular pyramid = 1 / 3 b x h

where b = base

h = height

1 / 3 x 1.5 x 2

= 1

Volume of rectangular pyramid = lwh / 3

= 7.5 x 4.5 x 5 / 3

= 56.25

= 1/2 x b x h x l

= 1/2 x 3 x 8.5 x 7

= 89.25

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Answer:

7 inches of wire

Step-by-step explanation:

We Know

11 inches of wire = $0.66

1 inches of wire = 0.66 / 11 = $0.06

At the same rate, how many inches of wire can be bought for 42 cents?

We Take

0.42 / 0.06 = 7 inches of wire

So, 7 inches of wire can be bought for 42 cents.

Answer:

1/13

Step-by-step explanation:

Total cards = 52

No: of aces in the cards= 4

Probability = 4/52 = 1/13

I hope im right!!1

We can answer the question by just looking at the horizontal line. The horizontal line goes through y = 5 where the values in the x-axis are between 1 and 4 without including them.

So, the only piecewise function that has one of the equations as:

f(x) = 4 for 1 < x < 4

is the option A.

We can also prove that for x less than 1, the equation of the line is f(x) = x+ 1 and for x greater or equal to 4, the equation of the line is f(x) = x - 1

For example: the first line goes through the point (0,1), so if x is equal to 0 (less than 1),

f(x) = x + 1 = 0 + 1 = 1

So, the answer is A

Answer:

4x2−12x+9=0

Step-by-step explanation:

The equation, 2x2+x+3=0, does not have a solution

The equation, x2+5x−3=0, equals -5/2+1/2√37 and -5/2+-1/2√37

The equation, x2−5x+4=0, equal 1 and 4

The equation, 4x2−12x+9=0, equals only 3/2

Hope this Helps

2.75,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

Answer:

b

Step-by-step explanation:

Total number of straight lines are 45 and it can be found out using combination.

Combination:

In mathematics, a combination is a selection of elements from a set with different members, so the order of selection does not matter (unlike permutations). For example, given his three fruits, such as apples, oranges, and pears, there are three binary combinations that can be drawn from this set. An apple and a pear. apples and oranges. Or pear and orange. More formally, a k-combination of a set S is a subset of the k distinct elements of S. Two combinations are identical only if each combination has the same members. (The order of the members of each set is not important.) If the set has n elements, there are k number of combinations, equal to the binomial coefficient.

Now,

Given:

Total points = 10

we need to find no three lie on the same straight line.

so , to find we can select 2 lines out of 10 and assume packing them together so  no 3 points lie on a line .

selection of 2 points out of 10.

C(10,2)  = ¹⁰C₂  

            = 10!/2!8!

            = 10*9/2

            = 45 lines.

Hence ,Total number of straight lines are 45 .

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Answers:

================================================

Explanation:

Let x be some positive real number

The 4:3 aspect ratio means the width (horizontal) portion of the tv is 4x inches while the height (vertical) portion is 3x inches

The ratio 4x:3x reduces to 4:3 after dividing both parts by x.

The 4x by 3x rectangle has the diagonal 32 inches as the instructions state. The tv size is always measured along the diagonal.

So effectively, we have two identical right triangles with legs 4x and 3x, and hypotenuse 32.

Apply the pythagorean theorem to find x

a^2+b^2 = c^2

(4x)^2+(3x)^2 = 32^2

16x^2+9x^2 = 1024

25x^2 = 1024

x^2 = 1024/25

x = sqrt(1024/25)

x = 32/5

x = 6.4

Recall that x is positive, so we ignore the negative square root here.

This 4x by 3x tv then has dimensions of

These values are exact.

The area is therefore base*height = 25.6*19.2 = 491.52 square inches

This of course only applies to the 4:3 tv that's 32 inches in diagonal.

-------------------------------

Now onto the 16:9 tv.

We'll follow the same steps as the last section. We'll use y this time

The 16:9 ratio becomes 16y:9y

a^2+b^2 = c^2

(16y)^2 + (9y)^2 = 32^2

256y^2 + 81y^2 = 1024

337y^2 = 1024

y^2 = 1024/337

y = sqrt(1024/337)

y = 1.7431510742491 which is approximate

y = 1.74315

So,

the area is approximate since the width and height are approximate. It rounds to about 437.55 square inches

-------------------------------

To recap, we found the following:

Answer:

Using the provided data, we first calculate the covariance between returns for asset A and B:

Covariance = Covariance (RA, RB) = E[(RA - EXPECTED_RA)(RB - EXPECTED_RB)] = E[(-0.98) * (-0.98)] = 0.0024

Since the value is very close to zero, it suggests little or no association between the returns of assets A and B. This implies negative correlation, but additional testing or statistical methods should be used to confirm this finding. However, given our limited data set, we cannot make definitive statements on causality or directionality between these assets' performances. Further study or more extensive market analysis may be warranted.

Answer:

19y - 9

Step-by-step explanation:

We can use the acronym PEMDAS. First, we need to calculate -3(-4y+3) by distributing. This is -3 * (-4y) + (-3) * 3 = 12y - 9 so the expression becomes 12y - 9 + 7y. Next, we need to combine like terms. 12y and +7y are like terms since they both have y so combining them gives us 12y + 7y = 19y. -9 stays by itself since there are no other constants so the final answer is 19y - 9.

Hey, it's really very easy to simplify .

I will write step by step.

= -3 (-4y + 3) +7y

= (-3) (-4y) + (-3) (3) + 7y

= 12y + -9 + 7y

= 12y + -9 + 7y

= (12y + 7y) + (-9)

Therefore, 19y + -9 is the answer.

Answer:  32/35

Step-by-step explanation:

reduce the expression , if possible , by cancelling the common factors

Answer:

8 cubic inches

Step-by-step explanation:

The problem mentions that the box has a volume, which is a measure of the amount of space that the box occupies. Volume is typically measured in cubic units, such as cubic inches, cubic feet, or cubic meters.

Answer:

ones, ten, hundreds, thousands, ten thousand, ect.

on the right side of the decimal represents a part of a number Ex. .222 is equal to 222/1000 of a number.

Answer:

$305.9022863 or $305.90 (rounded to 2 decimal places)

Step-by-step explanation:

It is a compound interest, meaning an interest accumulates on an initial amount every period. The formula  

A= P(1+R)^n

A= the total amount P=Initial amount       R= rate  n=time period

P=$100 R=15% or 0.15(decimal)  n=8 (years)  

A= 100 (1.15)^8

A= 100(3.059022863)

A=305.9022863

The amount you will have after 8 years is $220

The formula for calculating simple interest is expressed as:

SI =PRT

P is the principal = $100

T is the time = 8 years

R is the rate. = 15%

SI = 100 * 8 * 0.15
SI = $120

Amount after 8years = $100 + $120
Amount after 8years = $220

Hence the amount you will have after 8 years is $220

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20:4

30:6

Ratios can be fractions

20/4

30/6

Fractions can be divided

20/4=5

30/6=5

Yes, 20:4 and 30:6 are proportional

hope it helps!

Yes, 20 : 4 and 30 : 6 form a proportion.

It is the relation between two ratios, whether they are equal or not.

Representation of a proportion:

    a : b :: c : d

(Note that ratios can be written in terms of fraction)

\(\frac{a}{b}\) = \(\frac{c}{d}\)  (proportion equation)

In our given problem,

20 : 4 = \(\frac{20}{4}\) = 5

and similarly,

30 : 6 = \(\frac{30}{6}\) = 5

The relation between both the ratios is, they are equal.

Hence they satisfices proportional equation and therefore 20 : 4 and 30 : 6 form a proportion.

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Probabilities scale with the probability of passing an exam marked at 2/3 is given:

A probability scale is a number line that shows the probabilities of events occurring. The scale ranges from 0 to 1, where 0 represents an impossible event and 1 represents a certain event.

Using these steps, we can mark 2/3 probability on the scale at a point that is two-thirds of the distance between 0 and 1. This point would be closer to 1, indicating that passing the exam is a likely event.

Here is a probabilities scale with the probability of passing an exam marked at 2/3:

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Answer: 8:10, 7:54, 26 minutes

Step-by-step explanation:

a) Go to the row labeled Church Street, start in the column with time 7:59, read down until you get to the row labeled Bus Station.

b) Go to the High Street row. The latest arrival time that is still before 8:30 is 8:10. Starting in the column with 8:10, read UP to the Hope Street row. The bus leaves there at 7:54

c) Pick any column in the row for School Road. In that column, read down to the Bus Station row. The difference between the two times is 26 minutes no matter which column is selected.

Answer:

.

Step-by-step explanation:

Answer: y=9

Step-by-step explanation:

Answer:

8 it gigi

Step-by-step explanation:

8. this o y 8u9 I 7f8d

Given, the height \($h=6$, the base $b_1=9$ and $b_2=12$.\)

The area of the trapezoid is given by the formula,

\(\[A = \frac{1}{2}h(b_1+b_2)\]\)

Substitute the given values,  

\(\[A = \frac{1}{2} \times 6 \times (9+12)\]\\\)

Simplifying the above expression,

\(\[A = 45 \text{ square feet}\]\)

Therefore, the area of the trapezoid is $45$ square feet.

The perimeter of a two-dimensional geometric shape is the entire length of the boundary or outer edge. It is the sum of the lengths of all the shape's sides or edges.

The perimeter of a square, for example, is calculated by adding the lengths of all four sides of the square.

Similarly, to find the perimeter of a rectangle, sum the lengths of two adjacent sides and then double the result because there are two pairs of adjacent sides.

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Greetings from Brasil

From radiciation properties:

\(\large{A^{\frac{P}{Q}}=\sqrt[Q]{A^P}}\)

bringing to our problem

\(\large{6^{\frac{1}{3}}=\sqrt[3]{6^1}}\)

The requried radical form of the given expression is ∛6.

Radical form is mathematical expression that represents the value under the nth roots.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

Following the rule \(\sqrt[n]{x} = x^{1/n}\)
Similarly,
\(6^{1/3} = \sqrt[3]{6}\)

Thus, the requried radical form of the given expression is ∛6.

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Answer:

26mm

Step-by-step explanation:

w+10 + w+ 20 = 144/3

3w+30 = 48

3w = 18

w=6

longest side is 6+20 = 26