Water flows through a pipe at a rate of 7 liters every 9.5 hours. Express this rate of
flow in pints per week. Round your answer to the nearest whole number.

ANSWER :

The answer is B. y = (x + 4)^2 + 9

EXPLANATION :

From the problem, we have :

Group the terms in which the constant term and the terms with variables are separated.

add and subtract a variable m to the parenthesis to maintain equivalency.

Calculate the value of m using b^2/4a^2 with a = 1 and b = 8

Then :

The first parenthesis will be a perfect square trinomial.

Factor and simplify :

Answer:

8/15(-2/3)

we simply multiply them

-8*2/15*3

as we know that+*-=-

-16/30

so simply divided by 2 because it whole decide them 16/2and30/2

-8/15

Using the concept of the equation, it can be concluded that Levi answered the first question wrong and the last two correctly. Thus,

No

Yes

Yes

To check the value of x satisfies the equation, put the value of x and if it matches the resultant, it is correct.

Now solving the first part, x/4=20;x=5

So, putting x=5 in the equation 5/4=1.25 is not matching with the resultant ie. 20.

Therefore, this is the incorrect value of x.

Now solving the second part, 1.5x-8=7;x=10

So, putting x=10 in equation 1.5*10-8= 15-8=7

It matches with the resultant.

Therefore, this is the correct value of x.

Now solving the third part, 4x+6=58; x=13

So, putting x=13 in equation 4(13)+6= 52+6=58

It matches with the resultant.

Therefore, this is the correct value of x.

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The time when the ball hits the ground is 8. 09 seconds

A function can be defined as an expression, theorem, law, or rule that elaborates, explains or holds true for the relationship between two variables.

These variables are namely;

From the information given, we have that;

f(x) = 1048 - 16x²

Where;

To determine the time, we have;

collect like terms

- 16x² = - 1048

Divide both sides by the coefficient of x²

-16x²/-16 = -1048/-16

x² = 65.5

Find the square root of both sides, we have;

x = √65.5

x = 8. 09 seconds

Hence, the value is  8. 09 seconds

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Answer: 1. C=43.96 in  A=153.86 in²

              2. C=56.52 in  A=254.34 in²

Step-by-step explanation:

1.

R=7 in

C=2πR

C=2*3.14*7

C=43.96 in

A=πR²

A=3.14*7²

A=3.14*7*7

A=153,86 in²

2.

R

D=18 in

⇒ R=D/2

⇒ R=18/2

⇒ R=9 in

C=2πR

C=2*3.14*9

C=56.52 in

A=πR²

A=3.14*9²

A=3.14*9*9

A=254.34 in²

        Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value for the variable, two algebraic expressions that are equivalent have the same value.

          X-terms and constants should be combined with any other like terms on either side of the equation. Put the terms in the same order, with the x-term usually coming before the constants. The two phrases are equal if and only if each of their terms is the same.

        Consequently, (f + g)(4) is equal to f(4) + g(4)

         If two systems of equations have the same solution, they are equivalent (s).

Simplify

(71 . 81) 4 = 287.24

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The total price of that Ingrid has to pay is $52.90.

From the Latin word "per centum," which meaning "by the hundred," the word "percentage" was borrowed. The denominator of percent's is 100, making them fractions. In other words, it is the relationship between a component and a whole in which the value of the entire is consistently set to 100. The value of the entire is always 100 in a percentage, which is a ratio or fraction. Sam, for instance, would have received a score of 30 out of 100 on his arithmetic test if he received a 30%. When expressed as a ratio, it is written as 030:10 and as a fraction, 30/100. An quantity or part that is contained in each hundred is known as a percentage. The symbol "%" signifies that it is a fraction with 100 as the denominator.

Sales price = $48.90

Amount needed to be paid = 8.5% of $48.90 + $48.90

= 4.15 + $48.90

= $52.90

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Answer: $95.76

Explantion: Spencer spend $95.76 dollars at the copy center.

Then your done

The property used here is the distributive property of the multiplication.

Here we have the expression:

5*23 = 5*20 + 5*3

This is the distributive property of the multiplication, it says that:

A*(B + C) = A*B + A*C

Now, the original expression can be rewritten as:

5*23 = 5*(20 + 3)

And now we apply the above property to get:

5*23 = 5*(20 + 3) = 5*20 + 5*3

5*23 = 5*20 + 5*3

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Answer:

Step-by-step explanation:

[tex]\frac{y}{\sqrt{x} }[/tex] - [tex]\frac{\sqrt{x} }{x}[/tex] = [tex]\frac{y\sqrt{x} }{\sqrt{x} \sqrt{x} }[/tex] - [tex]\frac{\sqrt{x} }{x}[/tex] = [tex]\frac{y\sqrt{x} }{x}[/tex] - [tex]\frac{\sqrt{x} }{x}[/tex] = [tex]\frac{y\sqrt{x} -\sqrt{x} }{x}[/tex]    

The required correct answer is,

The area under P2 is 1, the area under P1 depends on the standard deviation of the dataset

i.e., Option d. is correct.

What is density curve ?

A density curve is a curve that illustrates the general shape of a data distribution. It is always above the x-axis; the area beneath it is always equal to one whole; the area beneath shows the percentage of all observations that fall in a given range. It is statistically easier to deal with a smooth curve than a histogram.

The bell-shaped density curve, which symbolizes the normal distribution, is the most well-known.

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Answer

A) f(w) = 80w + 30

B) w represents the number of weeks and f(w) the number of flowers that bloomed

C) 2830 flowers

Step-by-step explanation

A) To find the function f, which represents the number of flowers that bloomed, as a function of w, the number of weeks, we have to evaluate f(s) with s = s(w) = 40w, as follows:

B) w represents the number of weeks and f(w) the number of flowers that bloomed, like before.

C) Substituting w = 35 weeks into f(w), we get:

The structure must be designed so that there are no risks to the health and safety of the patients, staff, and general public. The main goal of layout exists to make clear that work, materials, and information flow through a system smoothly.

Layout design generally seeks to arrange organizational units inside a building so that the space is used to its fullest potential and total distances are kept to a minimum.

The structure must be designed so that there are no risks to the health and safety of the patients, staff, and general public. It must be able to endure the pressure and environmental conditions that they might encounter.

A facility's layout and design are crucial to a company's overall operations because they may both suit the needs of employees and maximize the efficiency of the production process. The main goal of layout exists to make clear that work, materials, and information flow through a system smoothly.

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The output value of g( -5 ) in the function g( x ) = −23( x - 4 )2 + 3 is 417.

A function is simply a relationship that maps one input to one output, that is, each x-value can only have one y-value.

Given the data in the question;

To find the g( - 5 ), replace all the occurrence of x with -5 in the function and simplify.

g( x ) = −23( x - 4 )2 + 3

g( -5 ) = −23( -5 - 4 )2 + 3

g( -5 ) = −23( -9 )2 + 3

g( -5 ) = −23( -9 × 2) + 3

g( -5 ) = −23( -18) + 3

g( -5 ) = ( -23 × -18) + 3

g( -5 ) = ( 414 ) + 3

g( -5 ) = 414 + 3

g( -5 ) = 417

Therefore, the output value of g( -5 ) is 417.

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Inequality involving the sum of the angles of a triangle i.e,

[tex]\alpha +\beta +y > \pi[/tex]

The area of a spherical triangle ABC with angles a, B, Y are

AABC = ([tex]\alpha[/tex] + [tex]\beta[/tex]+ Y- [tex]\pi[/tex] ) [tex]R^{2}[/tex]

The AA'B'C' = AABC (by sss) as we discuss move.

We just need to demonstrate that IACI = IAC' and C'L IBCI = 1BC '1 will proceed similarly.

since AC & ATC resulted in the same.

the middle.

We now have external proof that the surface and their mon- are real. As of (ABCA) and LA'B'C) cover. A overlapping sphere with appropriate angles for each letter of the alphabet Las offered my first figure of $ segments that are completely separate from one another, so we may write -

( AABC A ) + ( A A'B'C' )A + ( An -x ) + ( Ax-B ) + ( An-V ) = [tex]4\pi R^{2}[/tex]

2 ( A ABC A ) =[tex]4\pi R^{2}[/tex] - 2 ( [tex]\pi -\alpha[/tex] ) [tex]R^{2}[/tex]- 2 ( [tex]\pi -\beta[/tex])[tex]R^{2}[/tex]-2([tex]\pi -Y[/tex])[tex]R^{2}[/tex]

AABCA = [tex](\alpha +\beta +Y-\pi )R^{2}[/tex]

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Answer:

Equation of line is given as y = mx + c, where m is the slope and c is the y-intercept.

Since line has a slope of -3, equation is y = -3x + c.

Substitute (-3,1) into the equation to find c.

1 = -3(-3) + c

c = -8

Hence, equation of line is y = -3x - 8.

Answer:

8/15

Step-by-step explanation:

Multiply the numerators:

2*4 = 8

Multiply the denominators:

3*5 = 15

Now we have 8/15.

This cannot be simplified, so this is our final answer.

[tex]\frac{2}{3} \times\frac{4}{5}[/tex]

Multiply numerator by numerator and denominator by denominator:

[tex]2*4=8\\3*5=15[/tex]

[tex]\frac{8}{15}[/tex]  would be your final answer.

The value of expression 4 1/5 + 3 2/3 + 1 1/6  is 9 1/30

Given that,

to  simplify: 4 1/5 + 3 2/3 + 1 1/6

Mixed fraction definition?

It is a type of fraction, and those that have both a fraction and a whole number are considered to be it.

How to convert Improper fraction to a mixed fraction?

Divide the fraction's numerator by its denominator, or 15/7, in step one.

Second Step: Since 2 is an integer, the answer's integer component will be a mixed fraction.

Step 3: The original denominator of seven will be used as the denominator.

Step 4: The incorrect fraction 15/7 is now a mixed fraction with the value 2 (1/7)

To simplify ,

4 1/5 + 3 2/3 = 7 13/15

7 13/15 + 1 1/6 = 9 1/30

Therefore the correct answer is 9 1/30

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To fidn the surface area of the grain tank you need to find the area of:

Cylinder (without one of the bases as there are just one base exposed), use the next formula:

You have for the given cylinder:

h=12ft

r: as the diameter is 8.4ft the radius is 8.4tf/2=4.2ft

Cone (without the base as the base is not exposed), use the next formula:

You have for the given cone:

r= 4.2ft

s= 5.5ft

The entire exposed surface of the tank is:

The equation

has slope -3/7.

The product of perpendicular lines must be -1, so the slope of the new equation must be:

The line with that slope and that passes throught (1,6) is:

The following graph shows both equations:

Answer:

The answers are all below.

Step-by-step explanation:

7. Yes

Plug 10 in for t

10-3 ≥ 2

7 ≥ 2

8. No

Plug 1 in for w

6(1) < -2

6 < -2 (Nope)

9. Yes

Plug 5 in for p

5 + 1.6 ≤ 4

6.6 ≤ 4

10. Yes

Plug 0 in for d

[tex]\frac{1}{2}[/tex](0) > -3

0 > -3

11.

1(------------------>k

12.

n<------------------]2.5

13.

In order to try out for one of the parts in a play at the local theater, you must be at most 12 years old. Write an inequality that represents this situation.

x≤12

x<-----------------]12

14. Yes

Plug 2 in for h

3(2) - 7 < 2

Simplify

6 - 7 < 2

-1 < 2

15. No

Plug -12 in for q

-12 + 8 ≥ [tex]\frac{-12}{4}[/tex]

Simplify

-4 ≥ -3 (Nope)

16.

    a. Yes

    Plug 0 in for x

    -2(0) < 10

    and

    -6 < -2(0)

    Simplify

    0 < 10

    and

    -6 < 0

    b. No

    Plug 4 in for x

    -2(4) < 10

    and

    -6 <  -2(4)

    Simplify

    -8 < 10

    -6 < -8 (Nope)

    c. -1

    Plug -1 in for x

    -2(-1) < 10

    and

     -6 < -2(-1)

    Simplify

    2 < 10

    and

    -6 < 2

The result of 34+(12+14)2.2 in the mixed fraction is  [tex]91\frac{1}{5}[/tex]

The expression is

34+(12+14)2.2

The mixed fraction is defined as the fraction that consist of one whole number part and a simple fraction part. simple fraction is the fraction that consist of numerator and denominator as whole numbers. The top term of  the simple fraction is called numerator and bottom term of the simple fraction is called denominator.

The expression is

=34+(12+14)2.2

First do the arithmetic operation in the bracket

= 34 + 26×2.2

Do the Multiplication

= 34+57.2

= 91.2

Convert the decimal form to simple fraction

91.2 = 456/5

Convert the simple fraction to the mixed fraction

456/5 = [tex]91\frac{1}{5}[/tex]

Hence, The result of 34+(12+14)2.2 in the mixed fraction is  [tex]91\frac{1}{5}[/tex]

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Answer:

<F=74

Step-by-step explanation:

No explanation just asked my teacher

Answer: 0.3

5/10 x 6/10 = 30/100 = 3/10 = 0.3

Answer:

P+380=312

Step-by-step explanation:

The total, meaning addtion, and equals meaning equals sign. P+380=312

The length of CE is 7cm

To determine the length, we need to consider the properties of a rectangle, we have;

From the information given, we have that;

AB = 7cm

AD = 17cm

Then, line CE = line AB

But line AB = 7cm

CE = 7cm

Hence, the length is 7cm

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Answer:

40% of the number is 275.2.

Step-by-step explanation:

I am going to call the number x.

75% of the number: 0.75x

20% of the same number: 0.2x

The difference between 75% of a number and 20% of the same number is 378.4:

This means that:

0.75x - 0.2x = 378.4

0.55x = 378.4

x = 378.4/0.55

x = 688

40% of the number:

0.4*688 = 275.2

40% of the number is 275.2.

Based on the length of the ribbon, and the length of the pieces Janice needs to make, the number of 3/8 foot pieces she can make would be

To find the number of pieces that Janice can get from the 7/8 foot ribbon, you need to divide this length by the length of each piece of ribbon.

The length of each of these pieces is 3/8 so the number of pieces of ribbon that Janice can get from the 7/8 foot ribbon is:

= 7 / 8 ÷ 3 / 8

= 7 / 8 x 8 / 3

= 56 / 24

= 2.33 ribbons

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Janice can make 2 pieces of ribbon from 7/8 feet of ribbon each measuring 3/8 feet.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Janice is cutting the ribbon to decorate a present. She has 7/8 feet of ribbon.

She needs to make pieces that are 3/8 feet each.

To obtain the no. of pieces we have to divide the total length of the ribbon by the length of each piece.

∴ (7/8)/(3/8).

= (7/8)×(8/3).

= 7/3 pieces.

But he can only make 2 pieces as pieces must be in integers.

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