9514 1404 393
Answer:
6000 mL
Step-by-step explanation:
The prefix "milli-" is an SI standard prefix meaning 1/1000. So, 1 mL = (1/1000)L.
When doing dimension changes, you always want to use scale factors that have a value of 1, which is to say the numerator is equal to the denominator. For converting liters to milliliters, the scale factor you want will have mL in the numerator and L in the denominator:
(1 mL)/(1/1000 L) or (1000 mL)/(1 L)
To do your conversion, multiply your liter volume by this factor.
[tex](6\text{ L})\times\dfrac{1000\text{ mL}}{1\text{ L}}=\dfrac{6\times1000\text{ mL$\cdot$L}}{1\text{ L}}=6000\text{ mL}[/tex]
6 liters is 6000 milliliters.
__
You will notice that the dimensions "L" cancel, which is the point of the exercise.
_____
Additional comment
6 L is closer to 202.884 fluid ounces. The conversion factor is ...
[tex]\dfrac{128\text{ fl oz}}{231\text{ in}^3}\times\dfrac{1\text{ in}^3}{(0.254\text{ dm})^3}\times\dfrac{1\text{ dm}^3}{1\text{ L}}=\dfrac{128\text{ fl oz}}{3.785411784\text{ L}}\quad\text{exactly}[/tex]
The object of a popular carnival game is to roll a ball up an incline into regions with different
values. The probability that Angus will get 100 points in a roll is 40%, 200 points is 35%, and
300 points is 25%. Find the expected value, E(X), of a roll.
O 185
O 200
O 400
O 150
The expected value, E(x) of the given observation is 185
The expected value is the mean of the overall observed value or random value. In other words, it is the average of the observed values.
The given parameters can be represented as:
[tex]\begin{array}{cccc}x & {100} & {200} & {300} \ \\ P(x) & {40\%} & {35\%} & {25\%} \ \end{array}[/tex]
The following formula calculates the expected value:
[tex]E(x) =\sum x * P(x)[/tex]
So, we have:
[tex]E(x) = 100 * 40\% + 200 * 35\% + 300 * 25\%[/tex]
[tex]E(x) = 40 + 70 + 75[/tex]
[tex]E(x) = 185[/tex]
Learn more about expected values at:
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Write an expression for the baseball team’s Purchase.
Please help with step by step.
When multiplying by 10 how many spaces do you move the decimal point
Answer:
If you multiply a decimal by 10, the decimal point will move one place to the right. If you divide a decimal by 10, the decimal point will move one place to the left.
Step-by-step explanation:
Multiplying a decimal by 10 increases the value of each digit by 10. Multiplying a decimal by a power of 10 increases the value of each digit by a number of times that is equivalent to that power of 10. When a digit's value is changed, that digit is moved to the appropriate place.
90./04/ (C) 98.7877 TD) (D) 98.7777 12. If two perpendicular sides of a right-angled triangle are 5 cm and 12 cm, its perimeter is: (A) 13 cm (B) 17 cm (C) 27 cm (D) 30 cm 3. An article is purchased for 7,500 and sold for 8,400. The profit percent is : (A) 8% (B) 10%
Answer:
1) D - 30 cm 2) 12 percents
Step-by-step explanation:
The first question was If two perpendicular sides of a right-angled triangle are 5 cm and 12 cm, its perimeter is: (A) 13 cm (B) 17 cm (C) 27 cm (D) 30 cm
two perpendicular sides are legs, find the hipotenuse of the triangle
It is equal to sqrt(5^2+12^2)= sqrt169=13
5+12+13=30 - D - the perimeter
The second question
7500 -100 percents
8400- x
7500/8400=100/x
75/84=100/x
(25/28)*x=100
(1/28)*x=4
x=4/(1/28)= 4*28= 112 percents
The profit is 12 percents
2) Option D is correct. If two perpendicular sides of a right-angled triangle are 5 cm and 12 cm, its perimeter will be 30cm.
3) None of the given options are correct. If an article is purchased for 7,500 and sold for 8,400, the profit percentage will be 12%
2) A right-angled triangle is a triangle with three sides and one of its angles is 90degrees. Find the image of a right-angled triangle attached below.
The triangle consists of 3 sides which are:
The opposite sideThe adjacent sideThe hypotenuse sideBefore we can get the perimeter of the right triangle, we need to get the third side first (the hypotenuse side) using the Pythagoras theorem. According to the theorem:
[tex]c^2=a^2+b^2[/tex]
Given
a = 5 cm
b =12 cm
[tex]c^2=5^2+12^2\\c^2=25+144\\c^2=169\\c=\sqrt{169}\\c=13 cm[/tex]
Perimeter of the right triangle = a + b + c
Perimeter of the right triangle = 5 cm + 12 cm + 13 cm
Perimeter of the right triangle = 30 cm
Hence the perimeter of the right triangle is 30 cm.
3) If an article is purchased for 7,500, then;
Cost price (C.P) = 7,500If the same article is sold for 8,400, then:
Selling price (S.P) = 8,400[tex]\% profit=\frac{SP-CP}{CP} \times 100[/tex]
Substitute the given parameters
[tex]\% profit=\frac{8400-7500}{7500} \times 100\\\%profit=\frac{900}{7500} \times 100 \\\%profit=\frac{900}{75}\\\% profit = 12 \%[/tex]
This shows that the profit percent is 12%
Learn more on perimeter and percentage profit here: https://brainly.com/question/23264165
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1. Find the 4th term for the sequence with formula tn= n² + 1
Answer:
17
Step-by-step explanation:
T4 = 4² + 1
T4 = 4² + 1 = 17
Yip yip that's all
Please help im new and i need help!
Please help me if you onlw the answers please!!
9514 1404 393
Answer:
a) 2.038 seconds
b) 5.918 meters
c) 1.076 seconds
Step-by-step explanation:
For the purpose of answering these questions, it is convenient to put the given equation into vertex form.
h = -4.9t² +9.2t +1.6
= -4.9(t² -(9.2/4.9)t) +1.6
= -4.9(t² -(9.2/4.9)t +(4.6/4.9)²) +1.6 +4.9(4.6/4.9)²
= -4.9(t -46/49)² +290/49
__
a) To find h = 0, we solve ...
0 = -4.9(t -46/49)² +290/49
290/240.1 = (t -46/49)² . . . . subtract 290/49 and divide by -4.9
√(2900/2401) +46/49 = t ≈ 2.0378 . . . . seconds
The ball takes about 2.038 seconds to fall to the ground.
__
b) The maximum height is the h value at the vertex of the function. It is the value of h when the squared term is zero:
290/49 m ≈ 5.918 m
The maximum height of the ball is about 5.918 m.
__
c) We want to find t for h ≥ 4.5.
h ≥ 4.5
-4.9(t -46/49)² +290/49 ≥ 4.5
Subtracting 290/49 and dividing by -4.9, we have ...
(t -46/49)² ≥ 695/2401
Taking the square root, and adding 46/49, we find the time interval to be ...
-√(695/2401) +46/49 ≤ t ≤ √(695/2401) +46/49
The difference between the interval end points is the time above 4.5 meters. That difference is ...
2√(695/2401) ≈ 1.076 . . . . seconds
The ball is at or above 4.5 meters for about 1.076 seconds.
__
I like a graphing calculator for its ability to answer these questions quickly and easily. The essentials for answering this question involve typing a couple of equations and highlighting a few points on the graph.
_____
Additional comment
I have a preference for "exact" answers where possible, so have used fractions, rather than their rounded decimal equivalents. The calculator I use deals with these fairly nicely. Unfortunately, the mess of numbers can tend to obscure the working.
"Vertex form" for a quadratic is ...
y = a(x -h)² +k . . . . where the vertex is (h, k) and 'a' is a vertical scale factor.
In the above, we have 'a' = -4.9, and (h, k) = (46/49, 290/49) ≈ (0.939, 5.918)
A coffee pot holds 3 1/4 quarts of coffee. How much is this in cups? Write your answer as a whole number or a mixed number in simplest form.
Answer:
13 cup i hope this help
Step-by-step explanation:
Help!!! QUICK! What is the pattern of the exponents on the a terms in Pascal's Triangle?
A. The largest exponent value of the a terms is equal to one more than the value of the exponent on the binomial. The exponent values then decrease from left to right.
B. The largest exponent value of the a terms is equal to the value of the exponent on the binomial. The exponent values then decrease from left to right.
C. The largest exponent value of the a terms is equal to the value of the exponent on the binomial. The exponent values are then equal to 0 throughout the expansion.
D.The largest exponent value of the a terms is equal to one more than the value of the exponent on the binomial. The exponent values are then equal to 1 throughout the expansion.
Answer:
B. The largest exponent value of the a terms is equal to the value of the exponent on the binomial. The exponent values then decrease from left to right.
Step-by-step explanation:
The exponent values of the a terms increase from one side of the binomial to the other. The value of the largest exponent is equal to part of the binomial expression.
Which point should be removed for the graph to represent a table of equivalent ratios?
A. (2, 10)
B. (3, 15)
C. (4, 20)
D. (5, 15)
===========================================================
Explanation:
As the graph shows, three of the four points are on the same line. That line being y = 5x. This line has slope 5 and y intercept 0.
The point not fitting this pattern is the point (5,15), so that is the final answer.
For the other three points, note that the jump from x to y coordinate is "times 5". For example, y = 5x = 5*2 = 10 for point A. In contrast, point D has a jump of "times 3" when going from x to y.
--------------
Alternatively, you can divide each y coordinate by its corresponding x coordinate.
For choice A, we have y/x = 10/2 = 5Choice B has y/x = 15/3 = 5Choice C has y/x = 20/4 = 5All results are 5 so far. Choice D doesn't follow the trend and instead has y/x = 15/5 = 3. This is another way to show that choice D is the answer.
Answer:
D
Step-by-step explanation:
Start with the number 2380.
Divide by 10,
The 8 will end up in the _____ place.
The 8 will end up in the "ones place".
How can we interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.
We need to find the 8 will end up in which place
A negative divided by a negative is positive, then;
2380/ 10 = 238
Therefore, The 8 will end up in the _ ones_ place.
Learn more about division here:
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Which graph represents the function f(x) = x-2?
Answer:
click in photo
nejdjjd
nxndjdbbdjf
lấy x=0 ta có y= -2 => A(0;-2)
lấy y=0 ta có x=2 => B(2;0)
nối 2 điểm A và B ta có đồ thị:
2.5 cm in the ratio of 1:500000
Answer:
1250000cm
Step-by-step explanation:
1:500000
1x2.5 : 500000x2.5
2.5:1250000
Two solutions of the equation Ax+By = 1 are (2, -1) and (-3,-2). Find A and B.
Answer:
Substitute in the values of both given coordinates & form 2 equations:
[tex]\left \{ {{A(2)+B(-1)=1} \atop {A(-3)+B(-2)=1}} \right. \\\\=\left \{ {{2A-B=1} \atop {-3A-2B=1}} \right.[/tex]
Find the value of B from the equation 2A - B = 1:
[tex]2A-B=1\\-B=1-2A\\B=2A-1[/tex]
Substitute in the B-value to the other equation:
[tex]-3A-2B=1\\-3A-2(2A-1)=1\\-3A-4A+2=1\\-7A=1-2\\-7A=-1\\A=\frac{-1}{-7} =\frac{1}{7}[/tex]
Find the B-value using the equation from before:
[tex]B=2A-1=2(\frac{1}{7})-1=\frac{2}{7} -\frac{7}{7} =-\frac{5}{7}[/tex]
Therefore the equation Ax + By = 1 would equal:
[tex]\frac{1}{7} x-\frac{5}{7} y=1[/tex]
Help please this is due today
9514 1404 393
Answer:
the correct choice is marked
Step-by-step explanation:
The end behavior matches that of an odd-degree polynomial. The only function shown that has that behavior is the one marked:
[tex]f(x)=\dfrac{x^2-36}{x-6}=\dfrac{(x+6)(x-6)}{(x-6)}=x+6\qquad x\ne6[/tex]
__
Additional comment
The other functions have horizontal (not slant) asymptotes, so do not have the described end behavior.
B: y=0
C, D: y=1
Laxman and Virat together can complete a piece of work in 8 days and Laxman alone can complete it in 12 days in how many days would Bharat alone complete the work
Answer:
14 days
Step-by-step explanation:
Solve for x^2=-25
Please help me
Answer:
Step-by-step explanation:
This is not possible over the real numbers system. You cannot take the square root of a negative number without ending up with imaginary solutions.
[tex]x^2=-25[/tex] and
[tex]x=\sqrt{-25}[/tex] In the world of imaginary numbers, the 2 solutions would be
x = 5i and x = -5i
Answer:
It should be x=5i-5i
Step-by-step explanation:
i need help on 8-9 plss :))
Answer:
8. SU = 24
9. TU = 16√3
Step-by-step explanation:
Recall: SOH CAH TOA
8. Reference angle (θ) = 30°
Opposite = 8√3
Adjacent = SU
Apply TOA,
Tan θ = Opp/Adj
Substitute
Tan 30° = 8√3/SU
Tan 30° × SU = 8√3
SU = 8√3/Tan 30°
SU = 8√3/(1/√3) (tan 30° = 1/√3)
SU = 8√3*√3/1
SU = 8*3
SU = 24
9. Reference angle (θ) = 30°
Opposite = 8√3
Hypotenuse = TU
Apply SOH,
Sin θ = Opp/Hyp
Substitute
Sin 30° = 8√3/TU
Sin 30° × TU = 8√3
TU = 8√3/sin 30°
TU = 8√3/(½) (sin 30° = ½)
TU = 8√3 × 2/1
TU = 16√3
I need you guy’s help answer thanks so much
Answer:
(c) (f-g ) (x) = 6x*3 -2x*2 +4x -8
Calculate the minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria:
95% confidence, within 5 percentage points, and a previous estimate is not known.
Answer:
The minimum number of subjects needed is 385.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
95% confidence, within 5 percentage points, and a previous estimate is not known.
The sample size is n for which M = 0.05. We don't know the true proportion, so we use [tex]\pi = 0.5[/tex]
Then
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.05 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.05\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.05}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.05})^2[/tex]
[tex]n = 384.16[/tex]
Rounding up:
The minimum number of subjects needed is 385.
90units needed 8 units per case what's the #of cases & # of additional units
Answer:
# of cases: 11
Additional units: 2
Step-by-step explanation:
If each case can hold 8 units, and we want to find the total # number of cases, we have to divide the # of units (8) for one case by the total # units (90).
As you can see, after dividing by 8, we have a total of 11 cases and a remainder of 2 units. The remainder will be the # of additional units because we cannot have another case filled with 8 units.
Alejandro wants to adopt a puppy from an animal shelter. At the shelter, he finds eight puppies that he likes: a male and female puppy from each of the four breeds of and Labrador. The puppies are each so cute that Alejandro cannot make up his mind, so he decides to pick the dog randomly. Find the probability that Alejandro chooses a .
Answer:
Hence the required probability is, 3/4
Step-by-step explanation:
At the shelter, he likes :
a male coolie, a female coolie, a male boxer, a female boxer, a male beagle, a female beagle, a male Labrador, and a female Labrador.
Let, A denote the event of selecting a male coolie and B denote the event of selecting a male Labrador.
P(A) = 1/8 = P(B)
Here the probability of selecting a puppy except A & B is,
P(AUB)c = 1 - P(AUB) = 1 - { P(A) + P(B) } = 1 - 1/8 - 1/8 = 3/4
Find the length of the missing sides. Round your answers to the nearest tenth. 8 y x 21
Answer:
x = 20.8
y = 22.3
Step-by-step explanation:
tan(21) = 8/x
or, x = 8/tan(21)
or, x = 20.8 (rounded to the nearest tenth)
sin(21) = 8/y
or, y = 8/sin(21)
or, y = 22.3 (rounded to the nearest tenth)
Answered by GAUTHMATH
anyone know the answers for the final exam for part one of algebra 2 on edg?
Answer:
just show the questions i will help
Step-by-step explanation:
What is the approximate value of log b to the nearest hundredth? 0.93 1.23 9.16 65.53
Answer:
1.23
Step-by-step explanation:
9.03 divided by 899.8 is closest to? a.0.01 b.0.001 c.1 d.100
9.03 divided by 899.8 is closest to a.0.01
Answer: a) 0.01
Step-by-step explanation:
Quick!!
Shandra has a sheet of cardboard whose area is x2 + 2x - 15 square inches. We know that the length of the cardboard
sheet is (x + 5) inches. What is its width? (Hint: area = length width)
Answer:
(x - 3) inches
Step-by-step explanation:
the ratio of -15 (of the area term) and +5 (of the length term) suggests a term for the width ending in -3. and we need an x in there to get x² for the area.
so, immediate assumption is (x-3) for the width.
let's check
(x+5)(x-3) = x² + 5x - 3x - 15 = x² + 2x - 15
correct.
First make a substitution and then use integration by parts to evaluate the integral. integral t^11 e^-t^6 dt + C
It looks like you want to find
[tex]\displaystyle \int t^{11} e^{-t^6}\,\mathrm dt[/tex]
Substitute u = -t ⁶ and du = -6t ⁵ dt. Then
[tex]\displaystyle \int t^{11} e^{-t^6}\,\mathrm dt = \frac16 \int (-6t^5) \times (-t^6) e^{-t^6}\,\mathrm dt = \frac16 \int ue^u \,\mathrm du[/tex]
Integrate by parts, taking
f = u ==> df = du
dg = eᵘ du ==> g = eᵘ
Then
[tex]\displaystyle \frac16 \int ue^u \,\mathrm du = \frac16\left(fg-\int g\,\mathrm df\right) \\\\ =\frac16 ue^u - \frac16\int e^u\,\mathrm du \\\\ =\frac16 ue^u - \frac16 e^u + C \\\\ =-\frac16 t^6 e^{-t^6} - \frac16 e^{-t^6} + C \\\\ =\boxed{-\frac16 e^{-t^6} \left(t^6+1\right) + C}[/tex]
1) Seven less than twice a number, n, is 32.
A. 7 - 2n = 32
B. 2n - 7 = 32
C. 7-n=2.32
D. (n - 7). 2 = 32
1) Seven less than twice a number, n, is 32.
ANS) B. 2n - 7 = 32
Answer:
1.
B. 2n - 7 = 32 is the right answer
Which condition must exist in order for conduction to occur between two substances? The molecules of the substances must be touching. Both substances must be the same temperature. At least one substance must be a liquid. Most of the molecules must be slow moving.
Answer:
The molecules of the substances must be touching
FOR EXAMPLE, a metal spoon placed in a hot coffee mug shows the flow of heat from coffee to the spoon. and now we can conclude that a condition that must exist in order for conduction to occur between two substances is that the objects must be touching each other.
Answer:
The molecules of the substances must be touching.
A
Step-by-step explanation:
