A water park has pools, slides, and rides
that, in total, make use of 4.6 x 10^5
gallons of water. They plan to add a ride
that would make use of an additional
6.7 x 10^4 gallons of water. Use scientific
notation to express the total gallons of
water made use of in the park after the
new ride is installed.

Answers

Answer 1

Answer:

  5.27×10^5 gallons

Step-by-step explanation:

Adding numbers in scientific notation requires that their powers of ten match. Here, we can rewrite the smaller number so its power of ten matches that of the larger number.

__

  4.6×10^5 +6.7×10^4

  = 4.6×10^5 + 0.67×10^5

  = 5.27×10^5

The park will use 5.27×10^5 gallons of water after the new ride is installed.

__

This kind of calculation can be done easily by your scientific calculator or a spreadsheet. You may have to set the display mode to scientific notation.

A Water Park Has Pools, Slides, And Ridesthat, In Total, Make Use Of 4.6 X 10^5gallons Of Water. They

Related Questions

Diana has a tool box in the shape of a right rectangular prism. The volume of the tool box is 1.62 cubic feet. The height of the tool box is 0.75 feet, and the length is 1.8 feet. What is the width of Diana's tool box? Enter your answer as a decimal in the box. ft

Answers

Answer:

I think you just have to multiply 0.75 and 1.8 then divided with 1.62.

Step-by-step explanation:

0.75*1.8=a

1.62/a= answer?

Answer:

the answer in 1.2 i just took the unit test on K12

Pablo built a large wooden storage box. The box was in the shape of a rectangular prism, as shown below. He covered all the sides of the box with special wallpaper that cost a total of . How much did the wallpaper cost per square foot?

Answers

The cost of wallpaper used to cover all sides of the storage box is given by $3 per square foot

Cost of wallpaper per square foot

length = 9 ftWidth = 8 ftHeight = 5 ft

Surface area of a box = 2(lh + wh + lw)

= 2(9×5 + 8×5 + 9×8)

= 2(45 + 40 + 72)

= 2(157)

= 314 square foot

Total cost of wallpaper = $942

Cost of wallpaper per square foot = $942 ÷ 314 square foot

= $3 per square foot

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Translate the phrase into an algebraic expression the product of W and 9

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The algebraic expression that can represent the product of W and 9 is 9W.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The phrase "the product of W and 9" in the form of an algebraic expression can be written as,

Expression = 9 × W = 9W

Hence, the algebraic expression that can represent the product of W and 9 is 9W.

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Kay cut a cheese stick into
sixths and ate a sixth. Jake
cut a cheese stick into thirds
and ate a third. Which child
ate less cheese?

Answers

Answer:

Jake

Step-by-step explanation:

If the volume of a cylinder is 847pi yds^3 and the height is 7 yards, what is the radius?

Answers

The radius of the given cylinder of volume 847π yds³ and height of 7 yards is 11 yards

Calculating the volume of a cylinder

From the question, we are to calculate the radius of the cylinder

The volume of a cylinder is given by the formula,

[tex]V = \pi r^{2}h[/tex]

Where V is the volume

r is the radius

and h is the height

From the given information,

V = 847π yds³

h = 7 yds

Putting the parameters into the equation, we get

[tex]847\pi = \pi r^{2} \times 7[/tex]

[tex]7r^{2} = 847[/tex]

[tex]r^{2} = \frac{847}{7}[/tex]

[tex]r^{2} = 121[/tex]

[tex]r =\sqrt{121}[/tex]

r = 11 yards

Hence, the radius of the given cylinder is 11 yards.

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Grace has a 1/3 cup scoop that she uses to pour sauce on pasta. She uses one full cup for each serving of pasta. Grace has 7 cups of sauce. How many servings of pasta can she make?​

Answers

Answer:

7

Step-by-step explanation:

its a trick question !!

Answer:

This seems like a tricky question... i keep second guessing myself but here goes nothing....

7 servings

please read the explanation.... it always helps....

Step-by-step explanation:

Okay... so we know from the problem that each serving takes one full cup of sauce, and we also know that Grace has seven cups of sauce.... therefore we can conclude that she can make seven servings since 7/1 is 7.

Im not really sure why the question tells us that she uses a 1/3 scoop when we don't really need that when solving the question (which is why i am second guessing myself, but oh well)

i really hope this helps!!!

The two formats used in an observation checklist are:
A. Video recording and audio recording
B. Performance profiles and Tallies
C. Tallies and video recording
D. Performance profiles and SMART Targets

Answers

The most likely formats used in an observation checklist includes the video recording and audio recording.

What is an observation checklist?

This refers to the list of things that an observer is going to look at when observing a class or sample elements.

Most time, the checklists techniques are put in a sequenced way to observe and evaluates the samples from one point to another.

Therefore, the Option A is correct.

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What is the common ratio of the sequence: 1000, 300, 90, 27, ...?

Answers

3.33 is the difference and ratio would be 3.33:1

Solve the system of equations.
3x +y = 3
x + y = 2

Answers

Answer:

x = 0.5

y = 1.5

Step-by-step explanation:

For futer reference, the easiest way to figure this out is by going to Desmos Graphing Calculator, entering both of the equations, and seing where the lines intersect. This helped me so much when I was learning this. Hope this helped!

Answer:

The solution of the system of equations is (x,y) = (1/2,3/2).

Step-by-step explanation:

Kate has $17. She wants to hire a bike for 5 hours. There are two companies.
The table shows the cost C, in $, of hiring the bike for n hours from each company.
Company A C = 2n + 6
Company B C = 3n + 3
Find the cost of hiring a bike from Company A and Company B.

Answers

Answer:

It's 8 yuan per hour in company A and 9 yuan per hour in company B

Solve for Unknown: x/10=43/46.

Do not put variable, only put the number value to the nearest whole number

Answers

Answer:

9

Step-by-step explanation:

x= 430/46

x=9.35 approximately 9( nearest whole number)

You and your brother are reading the same novel. You want to get ahead of him in the book, so you decide to read 30 minutes longer than your brother reads.

Answers

Answer:

For this case we have the following notation:

y= the number of minutes that you read

x = the number of minutes that your brother read

And we have that you decide to read 30 minutes longer than your brother, so the equation would be:

y = x+30

And for the other part of the question if x =15 we got:

y = 15+30 = 45

Step-by-step explanation:

Assuming this complete question: "You and your brother are reading the same novel. You want to get ahead of him in the book, so you decide to read 30 minutes longer than your brother reads. Write an equation for the number of minutes you read, y, when your brother reads x number of minutes.

How many minutes will you read if your brother reads for 15 minutes?"

Solution to the problem

For this case we have the following notation:

y= the number of minutes that you read

x = the number of minutes that your brother read

And we have that you decide to read 30 minutes longer than your brother, so the equation would be:

y = x+30

And for the other part of the question if x =15 we got:

y = 15+30 = 45

A coordinate plane. Point A is plotted at (2, 7). Point B (2, 1). Point C (9, 8). Point D (8, 3). Point E (7, 7). A point has been translated right and up. The image of the point is point E. What point is the pre-image of point E? A B C D

Answers

Answer:

It's B

Step-by-step explanation:

Source: Trust me bro

Plus I just got done doing it

Sum of integers from -10 to 50

Answers

Answer:

1220

Step-by-step explanation:
This can easily be done as follows,
Take the first term of the series, (a = -10)
Take the last term of the series, (l = 50)
The numbers of terms is n = 50+10+1 = 61
Now,
For sum,
S= n/2 (a+l) =60/2 (50+-10) = 61/2 (50-10) = 61/2*40 = 1220

Which of the following is not a real number?
A. √2
B. -2
C. √₁,
D. 0

Answers

C is not a real number
C is the answer I am 100% sure

Please help I have been stuck on this for hours

Answers

Answer:

I have attached a screenshot below with the answers written down!

Step-by-step explanation:

[tex]5*3=15[/tex]

[tex]15*3=45[/tex]

Next                                                                                                                        

[tex]20*\frac{1}{2}=10[/tex]

[tex]10*\frac{1}{2}=5[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Hope this helps!

Have a great day!

:)

The mean weight of college students is 154 lbs and the standard deviation is 3 lbs.
Assuming that the weight is normally distributed, determine the following percentages.
145 148
151
154 157 160 163
DO NOT write % in the box. It is already written outside the box for you"
The percentage of college students who weigh...
30
1)...less than 157 is
%
2) greater than 148 is
3)...between 145 and 160 is
%
%

Answers

Answer:(approx) 6.

Step-by-step explanation:Here μ=51 and σ=15

Z=

σ

X−μ

=

15

X−151

When X=120, Z=

15

120−151

=−2.067

When X=155, Z=

15

155−151

=0.2667

When X=185, Z=

15

185−151

=

15

35

=2.2667

(i) P(120<X<155)=P(−2.07<Z<0.27)

=∫

−2.067

0.2667

ϕ(z)dz=∫

0

0.2667

ϕ(z)dz+∫

0

2.0667

ϕ(z)dz

=0.4803+0.1026=0.5829.

Here N=500

∴ The number of students whose weight is between 120 and 155 pounds is

0.5872×500=291

(ii) P(X<185)=P(Z>2.27)=∫

2.2667

ϕ(z)dz

=∫

0

ϕ(z)dz−∫

0

2.2667

ϕ(z)dz=0.5−0.4881=0.0119

∴ the number of students with weight about 185 pounds.

=0.0119×500= (approx) 6.

.A bicycle normally sells for $475. The bicycle was discounted 30% for a
sale. After the sale was over, the new price of the bicycle was 25%
higher than the sale price. What was the new price of the bicycle?

Answers

Answer:

415.63

Step-by-step explanation:

Multiply the price by the sales tax to find out how much money the sales tax will add.

Answer:

$415.63

Step-by-step explanation:

475

after 30%

475 times .30 = 142 5

475 - 142.5 = 332.5 <- sale price

332.5 times .25 = 83.125

332.5 + 83.125 = 415.625 <- new price

Find the measure of each of the interior angles of the regular hexagon using the Polygon Interior Angle Sum Theorem.

Answers

The measure of each of the interior angles of the regular hexagon using the Polygon Interior Angle Sum Theorem is 120°.

What is a polygon?

A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.

The sum of the interior angle of a polygon with 'n' number of sides is given by the formula,

The sum of the interior angle = (n-2)×180°

As it is known that a hexagon has 6 number of sides, therefore, the sum of the interior angles can be written as,

The sum of the interior angle of Hexagon = (6-2)×180° = 720°

Now, the measure of each interior angle = (720°/6) = 120°

Hence, the measure of each of the interior angles of the regular hexagon using the Polygon Interior Angle Sum Theorem is 120°.

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Frank bought a pair of gloves for $9.95 and a hat for $5.25. What is the best estimate of much he spent?
$15.00
$10.00
$5.00
$25.00

Answers

Answer:

$ 15.00

Step-by-step explanation:

9.95  is JUST about 10

5.25 is close to 5

                      10 + 5 = 15

Find the maximum accepted height for a basketball ring which must be positioned 3050 ± 6 mm above the floor.

__MM ??

Answers

Answer:  3056 mm

Work Shown:

3050+6 = 3056

If you wanted the min height allowed, then you'd compute 3050-6

Note: 3050 mm = 10 feet approximately

Which function is increasing on the interval ? (-∞,∞)
A. i(x)=x^2+8x+1
B. G(x)=-4(2^X)
C. F(x)=-3x+7
D. H(x)=2^x-1

Answers


the answer is D
explanation

the cost of 3 dolls if 2 such dolls cost rs.120 is ...... ans pls

Answers

Answer:

Rs. 180

Step-by-step explanation:

This is a proportion problem.

We are told that 2 dolls cost Rs. 120

Thus;

Cost of 1 doll = 120/2 = Rs. 60 per doll

Then;

Cost of 3 dolls = Rs. 60 * 3 = Rs. 180

Identify the type of segments as 2 CHORDS, 2 SECANTS, OR SECANT AND TANGENT. Then, find the variable.

Answers

Step-by-step explanation:

1)

SOLUTION

5(x+5) = 6. (6 +9)

90 = 5x + 25

13 = x

2)

SOLUTION

x (3) = (4) (6)

3x = 24

x= 8

3)

SOLUTION

3 (3 + x + 2) = (x+1)(x + 1 + x – 1) Use Theorem

3x + 15=2x²+2x

0 = 2x² – x – 15

0 = (x – 3) (2x + 5) Solve for x

3 = x Use positivesolution

Finding the area of a triangle is straightforward if you know the length of the base and the height of the triangle. But is it possible to find the area of a triangle if you know only the coordinates of its vertices? In this task, you’ll find out. Consider ΔABC, whose vertices are A(2, 1), B(3, 3), and C(1, 6); let line segment AC represent the base of the triangle.
Part A
Find the equation of the line passing through B and perpendicular to AC .

Answers

Answer:

[tex]y : \frac{1}{5} x + \frac{12}{5}[/tex]

Step-by-step explanation:

the slope of the line AC :

[tex]\frac{6-1}{1-2} = \frac{5}{-1} =-5[/tex]

Let y : mx + p be the equation of the line D passing through B and perpendicular to AC.

Where m is the slope and p is the y value of the y intercept point.

The line D is perpendicular to AC means the product of their slopes is −1

Therefore

(−5) × m = −1

Then

[tex]m=\frac{-1}{-5} =\frac{1}{5}[/tex]

We obtain, the equation of D is :

[tex]y : \frac{1}{5} x + p[/tex]

At this point ,we still need the value of p to get the full equation of D.

B(3, 3)∈ D

[tex]3=\frac{1}{5} \left( 3\right) +p[/tex]

[tex]\Longleftrightarrow p=3-\frac{3}{5} =\frac{12}{5} =2.4[/tex]

thus , the equation of D is :

[tex]y : \frac{1}{5} x + \frac{12}{5}[/tex]

Yes it's possible through matrix

Let's find out the area formula for our vertices

That's

[tex]\\ \rm\Rrightarrow \left|\begin{array}{ccc}\rm 2&\rm 1&\rm 1\\ \rm 3&\rm 3&\rm 1\\ \rm 1&\rm 6&\rm 1\end{array}\right|[/tex]

The determinant values modulus is the area

Slope of AC

m=6-1/1-2=-5

Perpendicular lines have slopes negative reciprocal to each other

Slope of line B to AC =1/5

So

Equation in point slope

y-3=1/5(x-3)y=1/5x-3/5+3y=1/5x+12/5

Factor the expression completely
9z+15

Answers

Answer:

3(3z + 5)

Step-by-step explanation:

You have to factor out 3 from 9z+15 :)

Please mark brainliest

What number line represents the solution to the inequality below

-6< -2x

Answers

Answer:

The answer is 3 or x<3.

Select all the correct answers.

If the measure of angle 0 is 2pi/3, which statements are true?

A. The measure of the reference angle is 60 degrees

B. Cos(0)= 3/2

C. The measure of the reference angle is 30 degrees.

D. Sin(0)= -1/2

E. Tan(0)= -3

F. The measure of the reference angle is 45 degrees.

Answers

The correct answers: tan 120= -√3.

The correct answer is (E)

What is an angle?

Angles are the angles between  bisecting lines or surfaces at or near their meeting point.

Given : [tex]\theta\\[/tex] = 2π/3

               = 2*180/3= 120

So, First and the fourth statement is not correct.

and, cos 120= -1/2

sin 120= √3/2

So, B and D statement is also wrong

tan 120= -√3.

Hence, the only correct statement is tan 120= -√3.

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This is geometry and I need help

Answers

Answer:

Step-by-step explanation:

Remark

The sine of an angle involves the Hypotenuse. So the first job is to find that.

When you do Sin(H) = opposite / hypotenuse

Hypotenuse

Givens

a = √3

b = √13

c = ?

c is the hypotenuse.

Equation

c^2 = a^2 + b^2                  Substitute values

Solution

c^2 = (√3)^2 + (√13)^2

c^2 = 3 + 13                         Combine

c^2 = 16                               Take the Square Root of Both Sides

√c^2 = √16      

c = 4

Sin(H) = opposite / Hypotenuse

Opposite = √3

Hypotenuse = 4

Sin(H) = √3/4

Sin(H) = 1.7321/4

Sin(H) = 0.4330

Answer

Sin(H) = 0.43


Six men take five days to complete a job. How long would
the same job take fifteen men?

Answers

Answer:

2 days

Step-by-step explanation:

Understanding :

Number of men is inversely proportional to the number of days taken to complete a job6 men take 5 days to complete 1Now the number of men is 15

Solving :

Rate of change of men ∝ 1/Rate of change of days15/6 ∝ 1/(d/5)2.5 = 5/dd = 2 days
Other Questions
Answer either question 3 or question 4.Question 3: Answer parts A, B, and C.A) Identify ONE way in which trade on the Silk Roads was different from trade in the Indian Ocean.B) Explain ONE way in which trade on the Silk Roads was similar to trade in the Indian Ocean.C) Explain ANOTHER way in which trade on the Silk Roads was similar to trade in the Indian Ocean.ORQuestion 4: Answer parts A, B, and C.A) Identify ONE way in which the first Industrial Revolution was similar to the second Industrial Revolution.B) Explain ONE way in which the first Industrial Revolution was different from the second Industrial Revolution.C) Explain ANOTHER way in which the first Industrial Revolution was different from the second Industrial Revolution. How does a nuclear reaction compare to a chemical reaction? Identify and explain the differences in the class structure that the Spanish implemented in North America? (Site 2) Consider the quadratic function shown in the table below. x y 0 0 1 3 2 12 3 27 Which exponential function grows at a faster rate than the quadratic function for 0< x < 3? Read the poems. a haiku by issa and an excerpt from "elegiac verses" by william wordsworth. what motif is addressed in both forms of poetry? romance the ocean the outdoors death In 2019, your father gave you a gift of property with a fair market value (FMV) of $75,000. His adjusted basis was $50,000. The gift tax paid was $7,440. What is your basis in the property?A.$75,000B.$57,440C.$53,100D.$50,000 This is geometry and I need help After Atticus finishes his unsuccessful defense of Tom Robinson, the spectators in the gallery-O stand in order to show respectO cheer in order to celebrate victoryO not in order to protest the injusticeO applaud in order to express gratitude Grace has a 1/3 cup scoop that she uses to pour sauce on pasta. She uses one full cup for each serving of pasta. Grace has 7 cups of sauce. How many servings of pasta can she make? According to the case of the Vietnam War, what do you think is the role of media ininfluencing public opinion? Factor the expression completely 9z+15 What is the surface area of this triangular prism? Show the molecular formula and electron structure of the simplest compound that forms with only carbon and hydrogen atoms. In an essay About universal healthcare, Jessica addresses counterclaims in the following sentence.While people may disagree on the best way to pay for healthcare, it is widely agreed that all Americans deserve to receive good health care. A group of teens in your town meet and agree to charge a flat fee of five dollars per hour for babysitting. They charge the same rate no matter how many children there are, or when the service is needed. Then they divide areas of town on a map between them, agreeing to only serve customers within their respective areas. Within weeks they have gained most of the business in town, driving out other teens that cannot lower their rates. The babysitting market in your town has become Identify the type of segments as 2 CHORDS, 2 SECANTS, OR SECANT AND TANGENT. Then, find the variable. If the volume of a cylinder is 847pi yds^3 and the height is 7 yards, what is the radius? After the translation, where is A located? Most of us are unfamiliar with the words of the song "Hail to the Chief," but chances are, we all know the melody when we hear it. For more than a hundred years, this song has been played to introduce the President of the United States at ceremonies and other formal gatherings. And yet, despite its traditional use, the song didn't originate in America. Instead, it is widely believed that the melody of the song was borrowed from an English musical play entitled "The Lady of the Lake," which itself was adapted from a poem by Sir Walter Scott, a Scottish writer. The play was staged in America in the first part of the 19th Century, and soon after, the song "Hail to the Chief," which bore a melodic resemblance to the music of the play, was used to honor none other than George Washington. From there, it was used at several presidential inaugurations, and during the term of Harry Truman, it was designated the official tribute to the President. Which sentence would make the best concluding statement for this passage? What is the answer F, G, H or J