Answer: 45,000,000,000 dl
Step-by-step explanation:
10,000,000,000 dl=1 gl
4.5 gl * 10,000,000,000 dl/1 gl =
4.5 * 10,000,000,000 dl = 45,000,000,000 dl
Makayla and Nathan both leave the library at the Same time, but in opposite directions. If Nathan travels 8 mph faster than makayla and after 6 hours they are 192 miles apart, how fast is each traveling?
The speed of Makayla and Nathan are 12 mph and 20 mph respectively.
What is relation between speed and time?A moving body's speed is the distance it travels in one unit of time. If the distance is in kilometers and the time is in hours, the speed is in kilometers per hour. If the distance is expressed in meters and the time is measured in seconds, the speed is measured in meters per second.Let the speed of Makayla is 'x' mph.
and the speed of Nathan is 'y' mph.
The total distance travelled by both is 129 miles.
The time taken by each is 6 hours, same for both.
Speed = distance / time
Distance = speed × time
Makayla's covered distance = xt
Nathan's covered distance = yt
Total distance = xt + yt
xt + yt = 192
As, Nathan travels 8 mph faster than makayla.
The,
y = x + 8, t = 6 hours substitute;
xt + (x+ 8)t = 192
2x + 8 = 192/6
On simplification;
x = 12 mph (Makayla's speed)
Y = x + 8
y = 12 + 8
y = 20 mph (Nathan's speed)
Therefore, the speed of Makayla and Nathan are x = 12 mph and y = 20 mph respective;y.
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In ANOP, OP = 12, PN = 7, and NO = 10. Which statement about the angles of ANOP
must be true?
Om/N> m/P> m/0
m/0> m/P> m/N
O m/0> m/N > m/P
Om/P> m/0> m/N
Om/P> m/N > m/0
Om/N> m/0> m/P
Submit Answer
Step-by-step explanation:
.............................-
80% of the frogs in a pond are spring peepers. If there are 200 frogs in the pond, how many spring peepers are there?
Answer:
160
Step-by-step explanation:
If 80% of the frogs in a pond are spring peppers, and there are 200 frogs in the pond, to find how many spring peppers are in the pond, find 80% of 200.
[tex]\begin{aligned} \sf \implies 80\% \textsf{ of }200 & = \sf 80\% \times 200\\\\& = \sf \dfrac{80}{100} \times 200\\\\& = \sf \dfrac{80}{100} \times \dfrac{200}{1}\\\\& = \sf \dfrac{80 \times 200}{100 \times 1}\\\\& = \sf \dfrac{16000}{100}\\\\& = \sf 160\end{aligned}[/tex]
Therefore, there are 160 spring peppers in the pond.
is 25 a perfect cube?
Answer: no 25 is a perfect square
Step-by-step explanation:
Given f(x)=3x-5, find f(x-2).
Step-by-step explanation:
1 i think becoz if you shift it will become x= 2 so on putting it on eq. we will get 1
Answer:
Step-by-step explanation:
F(x) = 3x-5
F(x-2) = 3(x-2)-5
3x-6-5
3x-11
0 = 3x-11
11=3x
11/3 = x
The answer would be x = 11/3 or 3.67 I believe.
Please help me!! Please and thank you!! This is my last question yall…
Answer:
u didn't add any question so how are we gonna help
Help me! Find the measure of the largest angle.
Toby needs to save a minimum of $250. If Toby can save $57 a month, how many months will it take for him to save enough? Select the inequality that represents this situation
Answer:
[tex]250 \leqslant 57m[/tex]
[tex]57m \: \geqslant 250[/tex]
Step-by-step explanation:
Minimum is a word meaning greater than or equal to.
Hope this helps!
If you have anyother question feel free to ask!
Find the least common denominator (LCD) of 1/2 and 11/12
Answer:
LCD = 12
Step-by-step explanation:
State the cardinality of the set.
The set of subsets of {2, 3, 5, 9, 11}
c
ℵ0
32
25
none of these
Answer:
32
Step-by-step explanation:
The given set has 5 elements, meaning it has 2⁵ = 32 subsets.
This means the cardinality of the desired set is 32.
The equation 2x2−6x−9=0 has two solutions.
The solution to the given equation is 3±3√3/2
Solving quadratic equationGiven the quadratic equation below
2x^2−6x−9=0
Solve using the general formula to have:
a = 2
b = -6
c = -9
Substitute
x = -b±√b²-4ac/2a
x = -(-6)±√(-6)²-4(2)(-9)/2(2)
x = 6±√36+72/4
x = 6±√108/4
x = 6±6√3/4
x = 3±3√3/2
Hence the solution to the given equation is 3±3√3/2
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[IMC 2014 Q23] A sector of a disc is removed by
making two straight cuts from the circumference
to the centre. The perimeter of the sector has the
same length as the circumference of the original
disc.
What fraction of the area of the disc is removed?
Answer:
Well the IMC 2014 is
IMC 2014 + hMc
If the big, green rectangle represents 1 whole, then what part of the whole is the shaded, gold
rectangle?
14
2 3
4
5
State your answer as a fraction.
6
The fraction that represents the part of a whole, which is shaded gold is 3/7.
What is fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole.
Given is a big green rectangle divided into seven equal segments. From the image, it can be seen that 3 segments out of the seven are colored with gold. Therefore, we can write that -
Number of segments colored = n[c] = 3
Total segments = n[T] = 7
We know that a fraction defines a part of a whole. The green Rectangle is one whole, therefore it can be concluded that -
1 whole = 7 segments = n[T].
Number of segments colored = n[c] = 3.
Therefore, we can say that the fraction that represents the part of a whole, which is shaded gold is given by -
n[c] / n[T] = 3 / 7
Therefore, the fraction that represents the part of a whole, which is shaded gold is 3/7.
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[The given question is not complete. Please refer to the image attached for complete question]
Identify a pattern in each list of numbers. Then use this pattern to find the next number. 5, 12, 33, 96, 285, ___
Answer:
852
Step-by-step explanation:
You want the next number in the pattern that starts with 5, 12, 33, 96, 285.
PatternWhen looking for patterns in sequences, it is often useful to consider first differences and the relations between them.
12 -5 = 7
33 -12 = 21
96 -33 = 63
285 -96 = 189
We notice that these differences have a common ratio of 3. This suggests the next difference will be 189×3 = 567.
The next number in sequence is 285 +567 = 852.
__
Additional comment
When differences have a common ratio, an exponential sequence is indicated. These differences have a ratio of 3, but are not powers of 3, so the exponential term needs additional components to completely describe the sequence. We expect there are horizontal and vertical offsets involved.
Exponential regression gives the explicit formula as ...
y = (3 +7·3^(x-1))/2
A student is running a 10-kilometer race. He runs 1 kilometer every 4 minutes. Select the function that describes his distance from the finish line after x minutes. f of x equals one fourth x plus 4 f of x equals negative one tenth x plus 4 f of x equals one tenth x plus 10 f of x equals negative one fourth x plus 10
Answer:
in 40 minutes the man runs 10 kilometer
Answer:
I think its
f(x) = 1/10x + 10
30 POINTS...PLEASE HELP ME ASAP
Look for a pattern in the table of values.
X -3 -2 -1 0 1 2
Y 32 16 8 4 2 1
A. Which model (linear, exponential, or quadratic) best describes the data?
B. Write an equation for the function that models the data.
wait a second...............
A picture frame is 20 cm long and 30 cm wide. This includes a pink border that is 5
cm wide surrounding the picture itself, as shown below. What is the area of this pink
border in square centimeters?
20 cm
30 cm
The area of the rectangular pink border is of 400 cm².
What is the area of a rectangle?The area of a rectangle of dimensions l and w is given by the multiplication of the dimensions, as follows:
A = lw.
Hence, the total area is given by:
A = 30 x 20 = 600 cm².
The area of the white region is given by:
A = (30 - 2 x 5) x (20 - 2 x 5) = 20 x 100 = 200 cm².
Hence the area of the pink border is:
600 cm² - 200 cm² = 400 cm².
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Which of these rational numbers is a repeating decimal? Type all that apply.
Answer:
- 0.347
2.153
Step-by-step explanation:
Answer:
- 0.347 and 2.153
Hope this helps :)
Explanation below.
Step-by-step explanation:
The lines on top of the decimals tell that the decimal is repeating, and both - 0.347 and 2.153 have lines so they are repeating decimals.
There are 5,000 nails in five boxes. The first and second boxes have 2,700 nails altogether. The second and third boxes have 2,000 nails altogether. The third and fourth boxes have 1,800 nails altogether. The fourth and fifth boxes have 1,700 nails altogether. How many nails are in each box?
There are 5,000 nails in five boxes. The first and second boxes have 2,700 nails altogether. The second and third boxes have 2,000 nails altogether. The third and fourth boxes have 1,800 nails altogether. The fourth and fifth boxes have 1,700 nails altogether. How many nails are in each box
Purchases of both small and large boxes total:
two little boxes.
six huge boxes
Two equations must be created with the given data in order to answer the unknowns:
150X + 400Y = 2700 (the price of the boxes and the total number of nails, where X is the small boxes and Y the large boxes)
Y = 3X
Equation one is then changed to equation 2, and variable X is eliminated:
150X + 400 (3X) = 2700
150X + 1200X = 2700 1350X = 2700 X = 2700/1350 X = 2
In order to determine the number of big boxes, equation 2's value of X is finally changed:
Y = 3X
Y = 3
Y = 6
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Martha has 9 feet of red ribbon and 6 feet of green ribbon. How many yards of
ribbon does she have altogether?
Answer:5
Step-by-step explanation:9 ft of red ribbon plus the 6 ft of green ribbon would make 15 feet of ribbon
1ft=3yds
Which mean you would have 5 yards of ribbon.(15 divided by 3=5)
Simplifiy the expression 1/2 cubed - 6 divide √64
Answer:-0.625
Step-by-step explanation:
Solve the following equations.
(x+5)/2 + (x-3)/3 = 3 1/6
.
3(x+5) + 2(x-3) = 6(3(1/6))
3x + 15 + 2x - 6 = 3 X 1
5x + 9 = 3
5x = - 7
x = - 7/5
What is the next term in each of the sequences below?
a) 16, 25, 36,49,
b) 8,27, 64, 125,
Answer:
a). 16, 25, 36, 49, 64
b). ???
Step-by-step explanation:
16 + 9 = 25
25 + 11 = 36
36 + 13 = 49
49 + 15 = 64
I don't think b is possible
Liam bought pizza and wings for $17.58. How much change should Liam receive if he gave the clerk three $10 bills
Answer:
$12.42
Step-by-step explanation:
$10 x 3 = $30.00
$30.00 - 17.58 = $12.42
Someone help with this too pls
Answer:
the answer is 18 months==1 year 6 months
Whats 1,250 - 250 x 2?
Answer:750
Step-by-step explanation:
multiply the numbers
1250-250x2
1250-500
subract the two numbers and you will get
750
2) Which of the following is the correct factorization of 7x² - 36x +5?.
a. (7x + 1)(x - 5)
b. (7x-1)(x + 5)
c. (7x - 1)(x - 5)
d. (7x +1)(x + 5)
Ca
C
E
D
2 509
Answer:
c
Step-by-step explanation:
7x²-36x+5= 7x²-x-35x+5
=x(7x-1)-5(7x-1)
=(7x-1)(x-5)
please help me I have mistake
Answer:
See below
Step-by-step explanation:
Here is one possible mistake:
Let y= u = ( 2ax^2 +c)^2 expand
4 a^2 x^4 + 4 a x^2 c + c^2
dy/ dx then becomes
16 a^2 x^3 + 8 a x c <====== you have 8 a^2x^3 + 8axc
MAYBE ??
[tex]y = (2ax^2 + c)^2 (bx^2 - cx)^{-1}[/tex]
By the product rule,
[tex]\dfrac{dy}{dx} = \dfrac{d(2ax^2+c)^2}{dx} (bx^2-cx)^{-1} + (2ax^2+c)^2 \dfrac{d(bx^2-cx)^{-1}}{dx}[/tex]
For the first derivative on the right side, let [tex]u=2ax^2+c[/tex]. Then by the chain rule,
[tex]\dfrac{d(2ax^2+c)^2}{dx} = \dfrac{du^2}{dx} \\\\ ~~~~~~~~~~~~~~~~~~ = \dfrac{du^2}{du}\dfrac{du}{dx} \\\\ ~~~~~~~~~~~~~~~~~~ = 2u \dfrac{du}{dx} \\\\ ~~~~~~~~~~~~~~~~~~ = 2(2ax^2+c) \dfrac{d(2ax^2+c)}{dx}[/tex]
and by the power rule, this reduces to
[tex]\dfrac{d(2ax^2+c)^2}{dx} = 2 (2ax^2+c) (4ax) \\\\ ~~~~~~~~~~~~~~~~~~ = 8ax (2ax^2 + c)[/tex]
For the other derivative, let [tex]v = bx^2-cx[/tex]. Then
[tex]\dfrac{d(bx^2-cx)^{-1}}{dx} = \dfrac{dv^{-1}}{dx} \\\\ ~~~~~~~~~~~~~~~~~~~~ = \dfrac{dv^{-1}}{dv}\dfrac{dv}{dx} \\\\ ~~~~~~~~~~~~~~~~~~~~ = -v^{-2} \dfrac{dv}{dx} \\\\ ~~~~~~~~~~~~~~~~~~~~ = -(bx^2-cx)^{-2}\dfrac{d(bx^2-cx)}{dx}[/tex]
which reduces to
[tex]\dfrac{d(bx^2-cx)^{-1}}{dx} = -(bx^2 - cx)^{-2} (2bx - c)[/tex]
So one expression for the derivative we want is
[tex]\dfrac{dy}{dx} = 8ax (2ax^2 + c) (bx^2-cx)^{-1} - (2ax^2+c)^2 (bx^2 - cx)^{-2} (2bx - c)[/tex]
Translate the sentence into an equation.
The sum of 8 times a number and 9 is 7.
Use the variable b for the unknown number.
Answer:
8b + 9 = 7
Step-by-step explanation:
Find X if
• B is between A and C;
• AB = x+5;
BC= 2 (x-3); and
AB ~ BC
