Answer:
The rational number representing the average change in the volume of water each day is:
[tex]\frac{0.875 liters}{1 day}[/tex]
Step-by-step explanation:
Rational numbers are those that can be represented as the quotient of two integers. That is, rational numbers can be represented by a fraction [tex]\frac{a}{b}[/tex], where a is the numerator and b is the denominator that must be other than zero. To express the set of these numbers, mathematicians use a capital Q.
In this case we know that Finn's pool leaked a total 3.5 L in 4 days, so the rate can be written as:
[tex]\frac{3.5 liters}{4 days}[/tex]
Now you must make this division or quotient, where the denominator will be 1 because you must know the number of liters drained per day:
[tex]\frac{3.5 liters}{4 days}=\frac{0.875 liters}{1 day}[/tex]
So the rational number representing the average change in the volume of water each day is:
[tex]\frac{0.875 liters}{1 day}[/tex]
Y=10 when x=8 what is x when y=30
Answer:
X= 24
Step-by-step explanation:
Y was multiplied by 3 to equal 30, so same rules are applied and you multiply 8 by 3
Answer:
28 or 24 im not sure which
Find the third side in simplest radical form
Answer:
[tex] 2 \sqrt{71} \: units[/tex]
Step-by-step explanation:
Given is a right angled triangle in which third side is the hypotenuse.
Therefore, by Pythagoras theorem:
[tex]thid \: side = \sqrt{ {15}^{2} + ( \sqrt{59} )^{2} } \\ \\ = \sqrt{225 + 59} \\ \\ = \sqrt{284} \\ \\ = \sqrt{ {2}^{2} \times 71 } \\ \\ = 2 \sqrt{71} \: units[/tex]
Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!
Answer:
f⁻¹(f(6.022)) = 6.022
f⁻¹(-10) + f(-6) = -6 + -10 = -16
Step-by-step explanation:
f⁻¹(f(x)) = x
so f⁻¹(f(6.022)) = 6.022
inverse function flips y and x coordinates so look at table where f(x)=-10 and read x so f⁻¹(-10) = -6
f⁻¹(-10) + f(-6) = -6 + -10 = -16
Find the volume of a right circular cone that has a height of 8.1 in and a base with a diameter of 7.6 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
[tex]V=122.5in^3[/tex]
Step-by-step explanation:
The volume of a right circular cone can be found with the formula [tex]V=\pi r^2\frac{h}{3}[/tex] .
So, just plug in the values that are given (by the way, the radius is found by dividing the diameter by 2 since it's half the value of the diameter).
[tex]V=\pi r^2\frac{h}{3}\\V=\pi (3.8)^2(\frac{8.1}{3} )\\V=\pi (14.44)(2.7)\\V=122.484\\V=122.5in^3[/tex]
Answer:
122.5
Step-by-step explanation:
Need some help with a few consecutive integer word problems, tysm if you do :)
The sum of three consecutive odd integers is -57. Find the integers.
A. -19, -17, -15
B. -19, -21, -23
C. -21, -19, -17
D. -21, -23, -25
Three times the greater of two consecutive odd integers is 5 less than 4 times the smaller. Find the integers.
A. 8, 9
B. 7, 9
C. 11, 13
D. 3, 5
Five times the smaller of two consecutive odd integers is 11 more than 4 times the greater. Find the integers.
A. 13, 15
B. -7, -5
C. -7, -9
D. 19, 21
Answer:
Answers are: A,D, and A
Step-by-step explanation:
I hope these are right
Pls answer this correctly
The number of pieces of popcorn in a large movie theatre popcorn bucket is normally distributed, with a mean of 1720 and a standard deviation of 20. Approximately what percentage of buckets contain between 1680 and 1760 pieces of popcorn?
Approximately 68%
Approximately 75%
Approximately 95%
99.7%
A square has a side length of 3 inches. What is the length of the diagonal distance across the square ?
Answer:
4.243
Step-by-step explanation:
To calculate the diagonal of a square, multiply the length of the side by the square root of 2:
d = a√2
d = 3√2=4.24264068
In training for a swim meet, Kelly swam 600 meters in 1/3 hour. Her swimming partner Eva swan 2/3 of Kelly’s distance in 1/5 hour. How many meters did Eva swim in 1/5 hour and what was her average swimming speed?
Answer:
Eva swam 400 meters in 1/5 hour. Her average swimming speed was 2000 meters per hour.
Step-by-step explanation:
Eva swam 2/3*600 meters in 1/5 hour. 2/3*600=400. She swam 400 meters in 1/5 hour, which means she swims 5*400 meters in a whole hour. Eva swims 2000 meters per hour.
If someone could do this it’s be greatly appreciated!
Answer:
a). A = -2x² + 200x
b). Widths = 40 feet and 60 feet
Step-by-step explanation:
It is given that length of the fencing material = 200 feet
a). Peg wants to cover the vegetable garden from three sides with the given fencing material.
If length of the garden = l
and width of the garden = x
l + x + x = 200
l + 2x = 200
l = (200 - 2x) feet
Therefore, area of the garden = Length × width
A = [tex](200-2x)\times x[/tex]
A = -2x² + 200x
b). Foe A = 4800 square feet,
4800 = -2x² + 200x
2x² - 200x + 4800 = 0
x² - 100x + 2400 = 0
x² - 60x - 40x + 2400 = 0
x(x - 60) - 40(x - 60) = 0
(x - 60)(x - 40) = 0
x = 40, 60 feet
Therefore, widths of Peg's garden will be 40 feet and 60 feet.
Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!!
Answer:
(x+8)²-2=0
(x+8+√2)(x+8-√2)=0
x= - 8- √2 = -9.41 lesser x
x= -8 + √2 = -6.59 greater x
Answer:
[tex]\mathrm{Decimal}:\quad x=-6.58578\ ,\:x=-9.41421[/tex]
Step-by-step explanation:
[tex]\left(x+8\right)^2-2=0\\\mathrm{Add\:}2\mathrm{\:to\:both\:sides}\\\left(x+8\right)^2-2+2=0+2\\Simplify\\\left(x+8\right)^2=2\\\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\mathrm{Solve\:}\:x+8=\sqrt{2}:\quad x=\sqrt{2}-8\\x+8=\sqrt{2}\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\\x+8-8=\sqrt{2}-8\\\mathrm{Simplify}\\x=\sqrt{2}-8[/tex]
[tex]\mathrm{Solve\:}\:x+8=-\sqrt{2}:\quad x=-\sqrt{2}-8\\x+8=-\sqrt{2}\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\\x+8-8=-\sqrt{2}-8\\\mathrm{Simplify}\\x=-\sqrt{2}-8\\\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}\\x=\sqrt{2}-8,\:x=-\sqrt{2}-8\\\mathrm{Decimal}:\quad x=-6.58578 ,\:x=-9.41421[/tex]
What is the result when 4x^3+5x^2+13x+34x 3 +5x 2 +13x+3 is divided by 4x+14x+1?
Answer:
38^3+10^2+26x+3 over 18x+1
Step-by-step explanation:
Start by adding x's that are alike together.
4x^3+34x^3= 38^3
then do the same to the other x's
5x^2+5x^2= 10^2
Last x's
13x+13x=26x
For the final equation, you should have
38^3+10^2+26x+3
For the bottom equation, you do the same thing.
4x+14x= 18x
Final equation, really easy, is 18x+1
For the final answer you should have
38^3+10^2+26x+3 over 18x+1
Lmk if it helps!! :)
Find the volume of a pyramid with a square base, where the side length of the base is 7.5 cm and the height of the pyramid is 10.2. Round your answer to the nearest tenth of a cubic centimeter
Answer:
The volume is 191.3 [tex]cm^3[/tex]
Step-by-step explanation:
Recall that the formula for the volume of a pyramid is given by the formula:
[tex]Volume=\frac{B\,*H}{3}[/tex]
where B is the area of the pyramid's base, and H its height. So, in our case, the base is a square of length 7.5 cm, which gives 56.25 cm^2
Now, we use this value and the height 10.2 cm to find the volume:
[tex]Volume=\frac{B\,*H}{3}\\Volume=\frac{56.25\,*10.2}{3}\\Volume=191.25\,\,cm^3[/tex]
which rounded to the nearest tenth is: 191.3 [tex]cm^3[/tex]
Answer:
191.3
Step-by-step explanation:
Factor completely 10x2 + 2x − 8
Step-by-step explanation:
[tex]10x^2+2x-8\\2(5x^2+x-4)\\2(5x-4)(x+1)[/tex]
Answer:
[tex]2(5x-4)(x+1)[/tex]
You can check the answer by re-distributing the 2 and using the foil method :)
Which value is NOT equivalent to the other values?
A: 1.5
B: 15%
C: 3/20
D: 0.15
Answer:
A
Step-by-step explanation:
1.5 does not equal 0.15 or the other values.
The Skubic family and the Shaw family went on a safari tour in which they drove their own vehicles through the park to view the animals. The cost of the tour was $5.25 per vehicle plus an additional amount for each person in the vehicle. The Skubic family had 7 people in their vehicle and paid $22.75. If the Shaw family had 3 people in their vehicle, how much did they pay?
Answer:
$12.75
Step-by-step explanation:
Skubic Family-
22.75 = 5.25 + 7x
17.5 = 7x
2.5 = x
Therefore the cost for each person is equal to $2.5
Shaw Family-
2.5(3) + 5.25
7.5 + 5.25 = $12.75
Answer:
$12.75 is answer c
Step-by-step explanation:
HELP FAST
√32 as a mixed radical
Answer:
[tex]4\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{32}= \\\\\sqrt{2\cdot 16}= \\\\\sqrt{2\cdot 4^2}= \\\\4\sqrt{2}[/tex]
Hope this helps!
Answer:
[tex]4\sqrt{2} \\[/tex]
Step-by-step explanation:
4 times the square root of 2 is equivalent to the square root of 32.
step 1
a) Suppose you are able to download 1 free song to your tablet daily and each additional download costs $0.59. If your monthly bill is $15.34, how many songs did you download if you downloaded 28 free songs? Write an equation and solve for the unknown variable.
b) Your uncle Jim lives in England, where the current exchange rate is 1.64 US dollars for each British pound. Solve for the amount of your monthly bill, to the nearest hundredth, if you lived in England.
c) If you had an additional 1.65 pounds to download songs, how many more songs could you have downloaded? Write and solve an equation to solve the problem. Describe the step-by-step process you used to solve the problem.
Answer:
a. 54
b. 9.35
Step-by-step explanation:
a. First, divide 15.34 by 0.59 to find the number of songs you had to pay for.
15.34/0.59 = 26
then add it to the number of free songs you downloaded
26 + 28 = 54
b. divide 15.34 by 1.64
15.34/1.64 = 9.35
for c I would just multiply 1.65 by the usd exchange rate (1.64) which is 2.10 so you could afford 3 more songs but I don't know what equation exactly you would use or if what I did works.
factored form of 2x*2+13x+20
Answer:
(2x+5)(x+4)
Step-by-step explanation:
After factoring we can find that it equals
(2x+5)(x+4)
Answer:
(2x +5) (x+4)
Step-by-step explanation:
2x*2+13x+20
(2x + )(x+ )
Factoring 20 into 4 and 5 so we can get 13 in the middle
(2x +5) (x+4)
2*4 +5 = 13 for the middle term
A gift has the dimensions of 50 cm x 35 cm x 5 cm. You have wrapping paper with
dimensions of 75 cm x 60 cm. Do you have enough wrapping paper to wrap the gift? Why
or why not?
Answer:
Yes, there is enough wrapping paper
The area of the wrapping paper is greater than area of the gift
Step-by-step explanation:
What to do is to check the area of the wrapping paper and the gift if equal.
Looking at the dimensions of the gift, it is a cuboid
Area of a cuboid = 2(lb + lh + bh)
where l, b and h are 50, 35,5 respectively
= 2(250 + 175 + 1750)
= 4350 cm^2
The area of the wrapping paper is just the product of its side = 75 * 60 = 4500 cm^2
We can see clearly that the area of the wrapping paper is greater than area of the gift.
so we can conclude that it is enough to wrap the gift
can you help me with this range problem?
Answer:
A) 3
Step-by-step explanation:
The range is the highest value - the lowest value from the data
The data given is 1,2,3,4
Highest value: 4
Lowest value: 1
So range = 4-1
= 3
On a shelf there are 6 novels, 8 poetry books, and 4 mystery books. What is the probability that person A chooses a novel,then a mystery and walks away, then person B picks a mystery and a poetry book?
Answer:
2/255
Step-by-step explanation:
In total, there are 18 books on the shelf.
The probability that person A will pick a novel is 6/18 = 1/3
There are now 5 novels and 17 total books on the shelf
The probability that person A then picks a mystery is 4/17.
There are now 3 mysteries and 16 total books on the shelf.
The probability that person B then picks a mystery is 3/16.
There are now 2 mysteries and 15 total books on the shelf.
The probability that person B then picks a poetry book is 8/15.
The probability that all these events occur back to back is the product of their individual probabilities. Therefore, the probability is:
1/3 * 4/17 * 3/16 * 8/15 = 2/255
What is the HCF of 36 81?
Answer:
9
Step-by-step explanation:
Let us look at the factors of each of these
36:
1 and 36
2 and 18
3 and 12
4 and 9
81:
1 and 81
3 and 27
9 and 9
When we look at the factors, we can see that 9 is the Highest Common Factor shared between them.
Answer: hope that's right
HCF OF 36 81 = 9
Step-by-step explanation:
Steps to find HCF:
Find the prime factorization of 36 36 = 2 × 2 × 3 × 3
Find the prime factorization of 81 81 = 3 × 3 × 3 × 3
To find the HCF , multiply all the prime factors common to both numbers:
Therefore, HCF = 3 × 3
Please answer if you know..?
Answer:
B→A
Step-by-step explanation:
I'm pretty confident in my answer.
Answer anyone please ?!
Answer:
A & D
Step-by-step explanation:
Vertical angles are equivalent angles made by intersecting lines. ISN and TSW, and TSN and ISW face each other and are equivalent.
WILL GIVE BRAINLY 3RD GRADE
What is 1 + 2 + 3 times 78
Answer:
468
Step-by-step explanation:
Answer:
237
Step-by-step explanation:
This is written as 1+2+(3x78)
=3+234
=237
A ramp into a building forms a 6° angle with the ground. If the ramp is 8 feet long, how far away from the building is the entry point of the ramp? Round the solution to the nearest hundredth.
Answer:
7.96 ft
Step-by-step explanation:
Given;
Length of ramp L = 8 ft
Angle with the horizontal (ground) = 6°
Applying trigonometry;
With the length of ramp as the hypothenuse,
The horizontal distance d as the adjacent to angle 6°
Since we want to calculate the adjacent and we have the hypothenuse and the angle. We can apply cosine;
Cosθ = adjacent/hypothenuse
Substituting the values;
Cos6° = d/8
d = 8cos6°
d = 7.956175162946
d = 7.96 ft
The building is 7.96ft away from the entry point of the ramp.
Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!
Answer:
7-x
Step-by-step explanation:
49 - x^2 is a perfect square so
it factors to :(7+x)(7-x)
since there is a negative in 49 - x^2, it would make sense that the answer would be a negative to get that negative answer in the first place (negative times a positive equals a negative)
Forgive me for my lame explanation :')
the compounding of this question
Please HELP!!!!!!! PLEASE
Answer:
Step-by-step explanation:
Twins born call A
single child born called B
twins in family history 1
twins not in family history 2
my new table
1. 2
A 8/34=0.23 (23.52%) 26/34=0.7647 (76.47%)
B. 125/966=0.1293 (12.93%) 841/966=0.8706(87.06%)
I hope u understand my table
A closed box has a square base with side length feet and height feet given that the volume of the box is 34 ft.³ express the surface area of the box in terms of length only
Answer:
[tex]\dfrac{2s^3+136}{s}[/tex]
Step-by-step explanation:
Let the side length of the square base =s feet
Let the height of the box = h
Given that the volume of the box = [tex]34$ ft^3[/tex]
Volume of the box =[tex]s^2h[/tex]
Then:
[tex]s^2h=34$ ft^3\\$Divide both sides by s^2\\h=\dfrac{34}{s^2}[/tex]
Surface Area of a Rectangular Prism =2(lb+bh+lh)
Since we have a square base, l=b=s feet
Therefore:
Surface Area of our closed box[tex]= 2(s^2+sh+sh)[/tex]
[tex]S$urface Area= 2s^2+4sh\\Recall: h=\dfrac{34}{s^2}\\$Surface Area= 2s^2+4s\left(\dfrac{34}{s^2}\right)\\=2s^2+\dfrac{136}{s}\\$Surface Area in terms of length only=\dfrac{2s^3+136}{s}[/tex]