You will now consider Option 2-using low-flow shower heads instead of regular
shower heads.
Courtney claims that Option 2 would result in the class using 270 gallons of
water during 180 minutes of showering because:
(180minutes) (1.5gallons per minute) = 270gallons.
=
Courtney is incorrect.
• Identify her error.
• Explain how to find the correct amount of water used if the class
chooses Option 2.
• Include how much water would be used.

Answer:

okay let's start

Step-by-step explanation:

[tex]use \: sine \: rule \\ \frac{x}{ \sin(31) } = \frac{42}{ \sin(59) } \: \: taking \: angle \: at \: c \: as \: 90 \\ x = \frac{ 42 \sin(31)}{ \sin(59)} \\ x = 25.236146[/tex]

Answer:

B and E

Step-by-step explanation:

A. -7 ÷ (-4) = -7/-4 = 7/4 = 1.75

B. -(3 ÷ 2) = -(1.5) = -1.5

C. -8/5 * (-5/8) = (8/5) * (5/8) = 1

D. -5/-3 = 5/3 ≈ 1.667

E. -9 ÷ 6 = -9/6 = -1.5

Answer:

A and C

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

If she have 2 red toys and 3 blue toys, then she have 5 toys.

She can take one of 3 blue toys from 5 toys (I hope that you know what I mean)

Her chance is 3/5 to take the blue one

Answer:

B

Birds are related to theropod dinosaurs — a group that includes the Tyrannosaurus rex.

Theropods were bipedal dinosaurs, meaning they walked on two legs, not four like many other dinosaurs. When we look at the modern-day emu or ostrich, the resemblance to these dinosaurs is striking, especially when examining their bone structure.

Birds have scales like many dinosaurs and some dinosaurs may have had feathers.

Scientists have discovered that the tissues used to produce scales in reptiles are similar to those that produce feathers in birds. This suggests that there is a common ancestor between dinosaurs, birds, and reptiles. Furthermore, birds have scales on their feet!

Birds lay eggs similar to dinosaurs and reptiles.

The similarities between bird and reptile eggs are well known, but they also share traits with dinosaur eggs.

Most dinosaur eggs are hard-shelled, just like the eggs of our modern-day feathered friends. They are also both made up of the same basic elements, calcium, and carbon, which form crystal structures that make the eggshell more difficult to crack.

Answer:

Part (a)

see attached for sample space

Part (b)

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Total number of possible outcomes = 12

[tex]\textsf{P(Renae takes an odd-numbered bus)}= \dfrac{9}{12}=\dfrac34[/tex]

[tex]\textsf{P(Renae does not write a letter)}= \dfrac{8}{12}=\dfrac23[/tex]

[tex]\textsf{P(Renae catches no.28 bus then reads a book)}= \dfrac{1}{12}[/tex]

Part (c)

Her activity does not depend on which bus she takes, as we have been told that once she is on the bus, she randomly selects the activity.  Therefore, the activity selection is independent from the bus selection.

The sample space confirms this as it shows that the probability of the selecting each activity is equally likely for each of the 4 buses.

The expression that represents the volume of the composite figure is 16/3πr³ + r³

The given parameters are:

The volume of a cube is:

V = l³

So, we have:

V = r³

The volume of a hemisphere is:

V = (2/3)πr³

So, we have:

V = (2/3)π(2r)³

Evaluate

V = (2/3)π * 8r³

This gives

V = 16/3πr³

Add both volumes

Volume = 16/3πr³ + r³

Hence, the expression that represents the volume of the figure is 16/3πr³ + r³

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Answer:

Step-by-step explanation:

When a polynomial is shown in factored form, its zeros are the values of x that make the factors zero.

  The factor x is zero when x=0.

  The factor (x+4) is zero when x=-4.

  The factor (x+5) is zero when x=-5.

__

The multiplicity of a zero is the number of times a given factor is a factor of the polynomial. It is the exponent of the factor.

 x = 0 has multiplicity 3.

  x = -4 has multiplicity 2.

  x = -5 has multiplicity 2.

Answer:

45.72

Step-by-step explanation:

Since 1 inch is 2.54, you multiply 2.54 by 18 to find 18 inches in centimeters.

Answer:

see below  

Step-by-step explanation:

(7y +9 )(7y +9 )      or   (7y+9)^2         you ALMOST had it...just missed the parentheses !

Answer:

16.75

Step-by-step explanation:

The mean of a set of numbers is the sum divided by the number of terms.

Answer:

16.8125 or 16.8

Step-by-step explanation:

Answer:you have to multiply all the numbers to find the area

Step-by-step explanation:

Answer:

B: (x, y) --> (x + 4, y - 3)

Step-by-step explanation:

the shape DEF went to the right along the x axis wich increased x and then went down the y axis or decreased y to make D'E'F'

some good way to remember these translations and orders are...
 - x is first when plotting points, then y (x, y)
 - x increases going right, and decreases going left, as well as y increasing going up, then decreasing going down

BONUS FACT:
the symbol ( ' ) is called a prime when refering to transformations and geometry ((as in D' is pronounced D prime))

$48,000 a year is $1,846.15 biweekly before taxes and approximately $1,384.62 after taxes. Paying a tax rate of around 25% and working full-time at 40 hours a week, you would earn $1,384.62 after taxes. To calculate how much you make biweekly before taxes, you would multiply $23.08 by 40 hours and 2 weeks

Answer:

$48,000 ÷ 26 = $1,846.15

I hope this helps!!

[tex]\textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=53.38 \end{cases}\implies 53.38=2\pi r\implies \cfrac{53.38}{2\pi }=r\implies \cfrac{26.69}{\pi }=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2~\hspace{6em}A=\pi \left( \cfrac{26.69}{\pi } \right)^2\implies A=\cfrac{26.69^2}{\pi }\implies \stackrel{using~\pi =3.14}{A\approx 226.87}[/tex]

Hi!

Your answer is [tex]5x^2-7x-8[/tex].

We are asked:

[tex](-3x^2-5x+1)+(8x^2-2x-9)[/tex]

As we are adding them, we can remove the parenthesis.

[tex]-3x^2-5x+1+8x^2-2x-9[/tex]

Now, we can switch the order of the terms around to cause like terms to be by each other:

[tex]-3x^2+8x^2-5x-2x+1-9[/tex]

Finally, add like terms:

[tex]5x^2-7x-8[/tex]

5x² -7x -8 is the result of adding the polynomials -3x²-5x +1 and 8x²-2x-9. The result obtained by combining the like terms.

The two polynomials are  -3x²-5x +1 and 8x²-2x-9.

To add the two polynomials, you simply combine like terms.

Like terms are terms that have the same variable raised to the same power.

In this case, the variables are x² and x.

Let's add the given polynomials:

= -3x²-5x +1 + 8x²-2x-9

Group the like terms:

= -3x²+ 8x²-5x-2x+1-9

Combine like terms:

= 5x² -7x -8

Hence, 5x² -7x -8 is the result of adding -3x²-5x +1 and 8x²-2x-9.

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Answer:

Option B, [tex](y - z)(y-10)[/tex]

Step-by-step explanation:

Step 1:  Factor out y and -z

[tex]y^2 - 10y - yz + 10z[/tex]

[tex]y(y - 10) - z(y - 10)[/tex]

[tex](y - z)(y-10)[/tex]

Answer: Option B, [tex](y - z)(y-10)[/tex]

Answer:

The answer is B,

(y-z)(y-10)

Step-by-step explanation:

y^(2) + 10z - 10y-yz

Add and subtract the second term to the expression and factor by grouping.

=(y-z)(y-10)

Answer:

y = 4x - 11

Step-by-step explanation:

Point-Slope Form: [tex](y-y_0)=m(x-x_o)[/tex]

Given information:

y = 4x - 7. Through (3,1)

m = 4.

Thus, using m = 4 and point (3,1) in Point-Slope Form can make another equation that is parallel to y = 4x - 7.

[tex](y-y_0)=m(x-x_o)\\\\(y-(1))=4(x-(3))\\\\y-1=4(x-3)\\\\y-1=4x-12\\\\y=4x-11[/tex]

The congruence theorems or postulates that could be given as reasons why ACDE=AOPQ are:

Note that in the diagram, there has been given one side that is congruent to its other corresponding side and as such, it has remove the option or postulates that needs the HL and SAS sides.

Conclusively, when all three angles are said to be congruent and when they have one side (known as the hypotenuse), one can use the congruence theorems or postulates of  AAS, HA and ASA.

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Answer:

Set up an equation using these key terms:

Form the equation by piecing these key terms together:

63/100(63%) ×(of) X(The number being sought) = 792("-is 792)

63/100 × X = 792

(63/100 can be simplified to 0.63)

So, rewrite the equation to:

0.63 × X = 792

Solve for x!

0.63x = 792

Isolate 'x' by dividing 0.63 from both sides because the inverse operation of multiplication is division.

÷0.63 ÷0.63

x = 1,257.14285714 which can be rounded to 1,257.14.

Therefore, the number being sought is 1,257.14.

Answer:

45 two digit odd numbers are possible.

Answer:

Step-by-step explanation:

Remark

The base of the figure is a pentagon

The area of the base of a pentagon is

A=(1/4) * √[5(5+2√5)] * s2

The Formula for the Volume of a "pyramid" of this nature is

Volume = Base * h / 3

Givens

h = 10 feet

s = 8 feet

Base = formula in the remark section

Solution.

Find the base first.

A=(1/4) * √[5(5+2√ 5)] * s2     Find the value of 5 + 2√5

Area = 0.25√[5*(9.47)] * s^2 Find what is under the root sign

Area = 0.25√47.36   * s^2     Take the square root of 47.36. use s = 8

Area = 0.25 * 6.88 * 8^2         Combine.

Area = 110.11

Now find the volume

V = B * h/3

V = 110.11 * 10 / 3

V = 367.04     cubic feet.

Answer:

Independent

Step-by-step explanation:

there equal to different things (?)

Hope that was correct :)

Answer:

add sll number so you will get answer

dd

Step-by-step explanation:

Answer:See the attached figure. The original triangle is shown in red (triangle ABC). The line of reflection is the blue dashed line. This is the equation y = x. Reflecting triangle ABC over the line y = x results in the purple triangle A'B'C'.

Note how the x and y values swap places.

We have...

point A = (5,1) turn into point A' = (1,5)

point B = (8,1) turn into point B' = (1,8)

point C = (8,6) turn into point B' = (6,8)

The swap occurs because the rule (x,y) --> (y,x) tells this to happen.

The purple triangle is the final answer.

Step-by-step explanation:

Answer:

Sandra ran more. She would have ran a total of 11,200 meters. While her brother only ran 8,000 meters. Now to find excatly how much did she go? Well subtract 11,200-8,000 to get an answer of 3200. So Sandra ran 3,200 meters father then her brother.

Step-by-step explanation:

Hope This Helps

Have A Great Day

~Zero~

Answer: Sandra

Step-by-step explanation: Because 11.2 kilometers is a bigger number then 8,000 and also 11.2 kilometers is 11,000.2 and 8,000 as an kilometer is 8. Hope it Helps

Answer:

you were thinking of 41

Step-by-step explanation:

(x-9)*4=128

(x-9)=128/4

(x-9)=32

x=32+9

x=41

Answer:

41

Step-by-step explanation:

Let n be the number

Subtract 9

n-9

Multiply this by 4

4(n-9)

The result is 128

4(n-9)=128

To find the number divide each side by 4

4(n-9)/4=128/4

n-9 = 32

Add 9 to each side

n-9+9 = 32+9

n = 41

Answer:

[tex]\sf x=\boxed{18.21}[/tex]

Step-by-step explanation:

Assuming this is a right triangle.

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

Given:

[tex]\implies \sf \tan(35^{\circ})=\dfrac{x}{26}[/tex]

[tex]\implies \sf x=26\tan(35^{\circ})[/tex]

[tex]\implies \sf x=18.20539599...[/tex]

Therefore, x = 18.21 (nearest hundredth)

HI BRAINLY USER!!

Ans :➝ 126 m2

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