Rashad had ducks and cows on his farm. These 14 animals had a total of 40 legs. How many cows and ducks were there?

The steps you have are correct. I'll fill in the gap between step 2 and step 3.

[tex]0.4245 = \frac{2.5}{\text{x}}\\\\0.4245\text{x} = 2.5\\\\\text{x} = \frac{2.5}{0.4245}\\\\\text{x} = 5.8892815\\\\\text{x} = 5.9\\\\[/tex]

I multiplied both sides by x, then divided both sides by 0.4245 to isolate the variable.

With the exception of 2.5, every other decimal value mentioned is approximate.

The tree diagram representing these reporting relationships is attached.

It should be noted that a tree diagram is a planning tool that is used to show the hierarchy of tasks that are needed to be completed.

In this case, the tree diagram shows the way the employees report to each other.

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The quilt will be 10.99 inches wider and 9.01 inches shorter than the bed.

The first step is to determine the dimensions of the quilt.

Dimensions = √35 = 5.92 feet

Now convert the dimensions of the quilt to inches

1 feet = 12 inches

5.92 x 12 = 70.99 inches

Difference in the width of the bed and the quilt = 70.99 - 60 = 10.99

Difference in the length of the bed and the quilt = 80 - 70.99 = 9.01

 Here are the options:

A. The quilt will cover half of the surface of the bed.

O B. The quilt will match up with the length of the bed, but 20 inches will hang over the length. °

C. The quit will be 14.6 inches wider and 15.4 inches shorter than the bed. O D. The quilt will be 10.99 inches wider and 9.01 inches shorter than the bed.

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Answer:

- 6(6 - 2x)²

Step-by-step explanation:

using the chain rule

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{dy}{du}[/tex] × [tex]\frac{du}{dx}[/tex]

let y = (6 - 2x)³

let u = 6 - 2x , then y = u³

[tex]\frac{du}{dx}[/tex] = - 2 and [tex]\frac{dy}{du}[/tex] = 3u²

then

[tex]\frac{dy}{dx}[/tex] = 3u² × - 2 = - 6(6 - 2x)²

With annual compounding, the number of years for 1000 to become 1400 is 6.7 years

With continous compounding, the number of years for 1000 to become 1400 is 1.35 years

With annual compounding, the formula that would be used is:

(In FV / PV) / r

Where:

(In 1400 / 1000) / 0.05 = 6.7 years

With continous compounding, the formula that would be used is:

(In 1400 / 1000) / (In e^r)

Where r = interest rate

((In 1400 / 1000) / (In e^0.05) = 1.35 years

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The binomial expansion of the [tex](x-4)^5[/tex] is  [tex]x^5+20x^4+160x^3+640x^2+1280x+1024[/tex]

According to the statement

we have given that a equation and we have to expand it by use of the binomial theorem.

So, For this purpose we know that the

A binomial theorem, statement that for any positive integer n, the nth power of the sum of two numbers a and b may be expressed as the sum of n + 1 terms of the form.

And the general formula is

[tex](x+y)^n= ^nC_0x^ny^0+^nC_1x^(n-1)y^1+^nC_2x^(n-2)y^2+...+^nC_nx^0y^n[/tex]

And we have to solve it with the given equation (x-4)^5.

Then

[tex](x-4)^5=x^5+20x^4+(20)/(2)x^3(4^2)+(60)/(6)x^2(4)^3+(120)/(24)x^1(4)^4+(120)/(120)x^0(4)^5[/tex]

Now after solving the equation become

[tex](x-4)^5=x^5+20x^4+160x^3+640x^2+1280x+1024[/tex]

So, The after expanding the given statement with the binomial theorem the result output is

[tex](x-4)^5=x^5+20x^4+160x^3+640x^2+1280x+1024[/tex]

So, The binomial expansion of the [tex](x-4)^5[/tex] is  [tex]x^5+20x^4+160x^3+640x^2+1280x+1024[/tex]

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The greatest common factor of 48a²b⁷ and 48a⁶b⁵z is the number 48a²b⁵

An equation is an expression that shows the relationship between two or more variables and numbers.

The greatest common factor is the highest number that all the numbers share.

The greatest common factor of 48a²b⁷ and 48a⁶b⁵z is the number 48a²b⁵

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Answer:

Step-by-step explanation:

This is classic right triangle trig, cos specifically. Our reference angle is the one marked 26°, the hypotenuse is given as 12, and the side adjacent to the reference angle is our unknown. This is the cosine ratio. Setting up to solve for x:

[tex]cos26=\frac{x}{12}[/tex] and

12cos(26) = x  Plug this into your calculator in degree mode to get that

x = 10.8

Answer:

8) - 8z^3 - 3z^2 - 2z + 13

9) g^3 - 3g^2 + 3g + 6

10) (14n + 21) - (8n + 7) = 6n + 14

The simplification of the expression 5(6 ÷ 2² × 3 - 1) using the proper order of operation is 3.75

5(6 ÷ 2² × 3 - 1)

Bodmas

= 5(6 ÷ 4 × 3 - 1)

= 5(6 ÷ 4 × 2)

= 5(6 ÷ 8)

= 5(0.75)

= 3.75

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The Minimum Spanning Tree diagram associated with ZTX's project is indicated as attached. The total cost associated with it is $1,664,550

A graph spanning tree is a set of linked edges that encompass every vertex in the graph but do not create a cycle. A graph may have several such spanning trees.

The Minimum Spanning Tree, on the other hand, has the least cumulative edge weights.

The starting point is Seattle.

The total minimum cost is given as:
(1306 + 629 + 435 + 1983 + 1225 + 1483 + 661 + 1145 + 1709 + 183 + 338) x 150

= $1,664,550

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The set of ordered pairs that could be generated by an exponential function is; C: (-1,1/2), (0, 1), (1, 2), (2, 4)

An exponential function is represented by the general form;

y = abˣ

The above equation means that the value (0, 0) cannot be an ordered pair in an exponential function.

The highlight above means that, the options A, B and D cannot generate an exponential equation because they contain the point (0,0).

Thus, the set of ordered pairs that could be generated by an exponential function is option C: (-1,1/2), (0, 1), (1, 2), (2, 4)

The missing options are;

A. (-1,-1/2), (0, 0),(1,1/2), (2, 1)

B. (–1, –1), (0, 0), (1, 1), (2, 8)

C. (-1,1/2), (0, 1), (1, 2), (2, 4)

D. (–1, 1), (0, 0), (1, 1), (2, 4)

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The integers are therefore -2, -2, 0, 1 and 2

Let the five consecutive integers be x-3, x-2, x-1, x and x+1

If the  sum of five consecutive integers equals 5.5 times the middle integer, then;

x-3+x-2+x-1+x+x+1 = 5.5(x-1)

5x - 5 = 5.5x - 5.5

Collect the like terms

5x-5.5x = -5.5 + 5

-0.5x = -0.5

x = 1

The integers are therefore -2, -2, 0, 1 and 2

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Answer:

a

Step-by-step explanation:

the median is the middle value of the data arranged in ascending order

5 , 6 , 6 , 7 , 8 , 10 , 12 , 13 , 14 ← ascending order

                    ↑ middle value

median = 8

Answer:

8

Step-by-step explanation:

To find the median, we must put all of the data in order and select the middle number. Since there are 9 terms, the median will be the 5th term.

5, 6, 6, 7, 8, 10, 12, 13, 14

Brainliest, please :)

Answer:

The answer is $210.

Step-by-step explanation:

60/2 = 30. 30*5= 150. 150+60=210.

well, we know Aaron received $60, and we also know that Aaron and Betty are sharing the total on a 2:5 ratio, thus

[tex]\cfrac{Aaron}{Betty}~~ = ~~\cfrac{2}{5}\implies \cfrac{60}{Betty}~~ = ~~\cfrac{2}{5}\implies (60)(5)=(Betty)(2) \\\\\\ \cfrac{(60)(5)}{2}=Betty\implies 150=Betty~\hfill \underset{\textit{total money shared}}{\stackrel{60~~ + ~~150}{210}}[/tex]

Answer:

  (6, 1)

Step-by-step explanation:

The formula for dividing segment AB into parts in the ratio M:N is ...

  P = (M·B +N·A)/(M+N)

Using the above formula with the given values, we have ...

  P = (3(12, 3) +2(-3, -2))/5 = (36 -6, 9 -4)/5 = (30, 5)/5

  P = (6, 1)

The point P that divides segment AB into parts in the proportion 3:2 is ...

  P = (6, 1)

Answer:

10

Step-by-step explanation:

g(x) = 3(10-x^2)-8=>30-3x^2-8=>-3x^2+22

then substitute -2 in x

-3(-2)^2+22

-3(4)+22=-12+22=10

The equation for the given relation is a quadratic equation:

[tex]y = x^2[/tex]

Here we have the relation:

D = {(x, y); (3, 9), (5, 25), (-2, 4), ...}

Notice that for each coordinate point, we can see that the output is equal to the square of the input:

[tex]3^2 = 9\\5^2 = 25\\(-2)^2 = 4[/tex]

Then the equation is just:

[tex]y = x^2[/tex]

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The statement which does not adequately describe a developmental progression is Choice C- A developmental progression is a skill check- list that four-years- olds must master to be prepared for kindergarten.

The Developmental Progression of Functional Skills is a concept which describes the child's growth in which case, the child's develops relationship with family members and a sense of self in the process and this concept in discuss is not limited to four-year olds.

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The maximum amount they can afford to spend on each window is $400

23,150 = 10,350 + 32x

23,150 - 10,350 = 32x

12,800 = 32x

x = 12,800 / 32

x = $400

Therefore, the amount spent on each window is $400

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A summation, also called a sum, is the result of arithmetically adding numbers or quantities. A summation always contains a whole number of terms. There can be as few as two terms, or as many as a hundred, a thousand, or a million. Some summations contain infinitely many terms.

= 27

= -12 -15

= -27

☆...hope this helps...☆

_♡_mashi_♡_

Answer: 8

Step-by-step explanation:

Since x=3, we can plug in 3 for x in the equation:

[tex]5(3-1)-2\\5(2)-2\\10-2\\8[/tex]

⊱________________________________________________________⊰

Answer:

8

Step-by-step explanation:

Plug in 3 for x

[tex]\sf{5(2)-2} \ \ \ \ \ \large\textbf{[Multiply 5 by 2 next]}[/tex]

[tex]\sf{10-2} \ \ \ \ \large\textbf{[Subtract]}[/tex]

[tex]\sf{8}[/tex]

Done !! Hope this made sense to you !!

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[tex]\small\pmb{\tt{CALLIGRAPHY}}[/tex]

The quadratic equation of the data is y = 7x^2 + 13x + 3

The table of values is given as:

X 0 -1 -2.

y 3 -3 -5​

When the above values are added to the graphing calculator, we have the following summary

a = 7

b = 13

c = 3

A quadratic equation is represented as:

y = ax^2 + bx + c

So, we have:

y = 7x^2 + 13x + 3

Hence, the quadratic equation of the data is y = 7x^2 + 13x + 3

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Answer:

yo-yo cost 2.50 dollar because if we divide 15 and 6 the answer will be 2.50

The answer is: 2(m+1)

First combine like terms.
we do 6m-4m which is 2m
2m+2=?

Second we factor. We notice that both terms have 2.
2(m+1)

by distributive law, the 2 is distributed to m and 1.

Using the probability concept, the number of blue balls you need to add is:

D) 5.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

A probability of 0.5 is reached if the number of red balls is the same as the number of blue balls. Current the difference is of 7 - 2 = 5, hence 5 blue balls must be added.

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A=prt

A=2000×7%×4

=560

Answer:

see explanation

Step-by-step explanation:

to evaluate f(a) substitute x = a into f(x)

f(a) = 5a + 4

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

2f(a) = 2(5a + 4) = 10a + 8

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

to evaluate f(2a) substitute x = 2a into f(x)

5(a + 2) + 4 = 5a + 10 + 4 = 5a + 14

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

f(a) + f(2) ← substitute x = 2 into f(x)

= 5a + 4 + 5(2) + 4 = 5a + 4 + 10 + 4  = 5a + 18

Answer:

1 - p

Step-by-step explanation:

1 - p

The 99% Confidence interval for the mean sale time for all homes in the neighborhood is:87.857, 112.143.

a. The assumption is: Assume that the population has a normal distribution.

The CI  is exact for the normal populations and for small samples the z-interval method should be used in a situation where the variable is normally distributed.

b. Confidence interval:

CI=Sample mean±z-score×Standard deviation/√Size of the sample

CI=100-2.576×20/√18, 100+2.576×20/√18

CI=100-12.143, 100+12.143

CI=87.857, 112.143

Therefore the 99% Confidence interval is 87.857, 112.143.

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