If we give 1 g/kg of mannitol, it then follows that Balto needs to receive 35g of mannitol.
What is percent concentration?Percent is one of the ways of expression the concentration of a solute in a solvent. In this case, the concentration of the mannitol is 20%. This implies that there are 20 g of mannitol in 100 g of solution.
Thus, If we give 1 g/kg of mannitol, it then follows that Balto needs to receive 35g of mannitol.
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What is the radius of a hemisphere with a volume of 6496 (cm to the third power) to the nearest tenth of a centimeter?
Answer:
14.6cm
Step-by-step explanation:
The volume of a hemisphere is 2/3 × π × r³ → 6496 = 2/3 × π × r³. You can divide both sides by 2/3π to get r³ on its own → 3103.611531 = r³. To find r, cube root both sides → r = ∛3103.611531 = 14.5835... ≈ 14.6cm.
Hope this helps!
The radius of a hemisphere with a volume of 6496 is 14.5 cm
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The volume of a hemisphere is given by the formula V = (2/3)πrr³.
Since we are given the volume of the hemisphere, we can solve for the radius as follows:
V = (2/3)πr³
6496 = (2/3)πr³
Multiplying both sides by 3/2π, we get:
r³ = 6496 × (3/2π)
=6496×3/2×3.14
=19488/6.28
=3103.1
=∛3103.1
radius=14.5
Hence, the radius of a hemisphere with a volume of 6496 is 14.5 cm
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Mrs. Jackson had 493 canned goods that she collected for the annual canned food drive. She put all the cans in 7 equal piles. About how many cans are in each pile?
Answer:
about 70 cans
Step-by-step explanation:
493÷7=70.42
Please help me I suck in math
Answer:
B) [tex]-4\sqrt{10}+13[/tex]
Step-by-step explanation:
[tex]\sqrt{100}+4\sqrt{10}+3-8\sqrt{10}[/tex]
[tex]10-4\sqrt{10}+3[/tex]
[tex]13-4\sqrt{10}[/tex]
[tex]-4\sqrt{10}+13[/tex]
PLEASE HELP
A. Anna's route is about 4 miles shorter than Alex's route, but he gets home about 20 minutes before she does because he
is traveling faster.
B. Anna's route is about the same length as Alex's route, but he will get home first because he is driving.
C. Alex's route is about the same length as Anna's route, but his stop for pizza allows Anna to get home about 30 minutes
before him
D. Alex's route is about 4 miles longer than Anna's route, but his stop for pizza allows Anna to get home just minutes before him
Answer:
A. Anna's route is about 4 miles shorter than Alex's route, but he gets home about 20 minutes before she does because he
is traveling faster.
Step-by-step explanation:
Distance word problems are a common type of algebra word problems. They involve a scenario in which you need to figure out how fast, how far, or how long one or more objects have traveled. These are often called train problems because one of the most famous types of distance problems involves finding out when two trains heading toward each other cross paths
The equation y = 18x describes the amount of money Spongebob earns as a fry cook, where x is the
number of hours he works and y is the amount of money he earns. Show work. Complete sentence.
The table shows the amount of money Squidward earns as a cashier for different numbers of hours worked.
Squidward’s Earnings
Time (h) 3 5 8 10
Money earned
($) 48 80 128 160
(a) How much money does Spongebob earn per hour?
(b) How much money does Squidward earn per hour?
pls help and explain
Answer:
a. 18 dollars per hour
b. 16 dollars per hour
Step-by-step explanation:
for a, 18 is the slope of y=18x, meaning spongebob earns 18 dollars per hour
for b, since it seems like squidward earns 32 dollars every 2 hours, it can be guessed that he earns 16 dollars per hour, since 32/2 = 16
Solve by elimination, ordered pair also
4x + 6y = 12
6x + 9y = 12
[tex]\large\underline{\sf{Solution-}}[/tex]
Solving by Eliminating method:
[tex]\sf \leadsto 4x + 6y = 12\:\:- - - (i)[/tex]
[tex]\sf \leadsto 6x+9y = 12 \:\: - - -(ii)[/tex]
Step 1: Multiply Eqⁿ (I) by 3 and Eqⁿ (ii) by 2 to make the coefficients of y equal. Then we get the equations.
[tex]\sf \leadsto 12x + 18y = 36\:\: - - - (iii) [/tex]
[tex]\sf \leadsto 12x + 18y = 24\:\:- - - (iv)[/tex]
Step 2: Subtract Eqⁿ (iii) from Eqⁿ (iv) , we get
[tex]\sf \leadsto (12x + 18y)-(12x + 18y) = 36-24[/tex]
[tex]\sf \leadsto 0 =12, Which is a false statement. [/tex]
Therefore, the pair of equations has no solution.
Hope this helps!!
( sorry for the wired question )
researchers in New York city did a study on ice cream sales and murder rates in the city. this graph was included in the results
after seeing this graph as a picture with the headline "ice cream sales causes murder rates to increase" shared on social media by her best friend's second cousin, the president of a prominent HOA in the Hamptons decided to petition to ban the sale of ice cream so that people would stop being murdered .
this is the question - compare and contrast what you see on the graph.
second part to the question - was the HOA president right for doing so ? what other factors could have contributed to both the rise in ice cream sales and murders? is this an example of correlation or causation?
The presence of a correlation between statistical variables is an indication
of the existence of a relationship variables, it however, does not imply
direct causation.
Part one:
The similarities of the graphs are;
The rate of change in the sale ice cream and rate of murder are almost equal.The peak of ice cream sales and murder rate occur at the same time of the year.The rate of decrease in the sale of ice cream and murder rate are equal between the months of July and December.The differences are;
The shape of the ice cream sale graph is more bell shapes than the graph of murder rates.The murder rates occur over a slightly more longer period than than the sale of ice cream.There is a sharp decrease in the murder rate in the month of February while the ice cream sales increases steadily from January to July.Second part;
The HOA president's petition is in line with the social media post based on the graph.
The graph shows a strong correlation between murder rates and ice cream sales, however, selling ice cream, and murder are unrelated events.
The correlation between the sale of ice cream and murder is an indication of the existence of a common third factor.
Based on the time of the year dependence of the two variables, which corresponds to hot and cold weather, there is a correlation of both the murder rate and ice cream sales with temperature.
Therefore, the HOA president is not right for doing so
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for which values of a, b, and c will Ax+ By=C be a horizontal line through the point (-4,2)
Answer:
A = 0, B = 1 and C = 2
Step-by-step explanation:
The slope of a horizonal line is zero.
y = mx + b Use the slope intercept form with m = 0 and point (-4, 2).
2 = 0(-4) + b Solve for "b"
2 = 0 + b
2 = b
The equation in slope intercept form is y = 0x + 2 ; y = 2.
The equation in standard form: Ax + By = C has the value 0x + y = 2
The ratio of the height of an object in a photograph to the actual height is 1:200. The height of a statue in the photograph is 5 cm. How tall is the statue?
Answer:
1,000 cm
Step-by-step explanation:
5 x 200 = 1000
A submarine dove to a level of 450 meters below the surface of the ocean. Later it
climbed 270 meters and finally dove 80 meters more. At what depth did it stop?
Answer:
260 Meters Below the Surface
Step-by-step explanation:
"Dove 450 meters" = - 450
"Climbed 270 meters" = +270
"Dove 80 meters more" = - 80
-450+270-80
-180-80
-180+(-80)
-260 or 260 Meters Below the Surface
A recent poll in your state shows that 25% of the vehicles are SUV’s and 10% are trucks. The pill counted 5 million SUV’s. How many of the vehicles did they look at in total?
Answer:
20 million vehicles in total
Step-by-step explanation:
25%=1/4
5 million vehicles = 25%
100%/25%=4
5 million * 4 = 20 million vehicles in total
Olivia buys 0.5 pounds of ricotta cheese and 0.25 pounds of parmesan cheese. The parmesan cheese costs $5 more than the ricotta cheese. She pays a total of $9.50. What is the cost for a pound of parmesan? What is the cost for a pound of ricotta? NEED ANSWER QUICKLY.
Answer:
$16
Step-by-step explanation:
let x = cost of ricotta cheese
let x + 5 = cost of parmesan cheese
.5x + .25(x+5) = $9.5
solve this and we get x =11 (cost per pound for ricotta)now we plug that value back into x + 5 to find the cause of the cost of parmesan cheese
11 +5 = 16y = 16
The cost of ricotta cheese will be $11. And the cost of parmesan cheese will be $16.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Olivia buys 0.5 pounds of ricotta cheese and 0.25 pounds of parmesan cheese. The parmesan cheese costs $5 more than the ricotta cheese. She pays a total of $9.50.
Let 'x' be the cost of ricotta cheese. Then the cost of parmesan cheese will be (x + 5). Then the equation is given as,
0.5x + 0.25 · (x + 5) = $9.5
Simplify the equation, then we have
0.5x + 0.25 · (x + 5) = $9.5
0.5x + 0.25x + 1.25 = $9.5
0.75x = 8.25
x = $11
Then the cost of parmesan cheese is given as,
x + 5 = $11 + 5
x + 5 = $16
The cost of ricotta cheese will be $11. And the cost of parmesan cheese will be $16.
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ratios
20:220
10:110
5:55
1:?
Answer:
1 : 11Step-by-step explanation:
20:220 = 0.09
10:110 = 0.09
5:55 = 0.09
1:11 = 0.09
One number is 8 more than another number, and their sum is 16. What are the 2 numbers?
Answer:
x = 12
y = 4
Step-by-step explanation:
x + y = 16
x - y = 8
y + 8 = x
Replace x with y + 8 in the new equation
8 + 2y = 16 ----> we can minus 8 on both sides
2y = 8 -----> divide both sides by 2
y = 4
Now for the x value
x + 4 = 16 ----> minus 4 on both sides
x = 12
Answer:
12 and 4
Step-by-step explanation:
need help with homework plz and thank u :)
Answer:
B
Step-by-step explanation:
The zeros are where the function crosses the x-axis. In this case, it is 5/2 and -3, which eliminates options C and D. Next, the y-intercept is the point as to where the function crosses the y-axis. Here, it is (0,15), but does not help us to narrow down our options. Finally, the maximum is the highest y-value that the function touches. If you observe the graph at its highest point, it can be inferred that it's y-value is slightly above 15, and so it is at 15.1 (x-value has no importance in this context).
The measure of angle CFD is The measure of angle CDF is The measure of angle AFB is The measure of angle BFD is The measure of angle ABC is
Answer:
∠CDF = 23° , ∠CFD = 115° , ∠AFB = 115° , ∠BFD = 65° , ∠ABC = 42°
Step-by-step explanation:
m∠CDF = 180 - m∠CDE
m∠CDF = 180 - 157
m∠CDF = 23°
m∠CFD = 180 - ( m∠DCF + m∠CDF )
m∠CFD = 180 - ( 42 + 23 )
m∠CFD = 115°
m∠AFB = m∠CFD (Vertically opposite angles)
m∠AFB = 115°
m∠BFD = 180 - m∠CFD
m∠BFD = 180 - 115
m∠BFD = 65°
∠ABC
Solution 1:
m∠ABC = m∠DCF (Alternate angles)
m∠ABC = 42°
Solution 2:
In ΔAFB
m∠FAB = m∠CDF (Alternate angles)
m∠FAB = 23°
m∠ABC = 180 - ( m∠AFB + m∠FAB )
m∠ABC = 180 - ( 115 + 23 )
m∠ABC = 42°
ecuacion primer grado para hoy 7x+2=8x+5
Answer:
[tex]7x + 2 = 8x + 5 \\ collecting \: like \: terms \: \\ 7x - 8x = 5 - 2 \\ - 1x = 3[/tex]
(ecuacion primer grado para hoy. ). what does this mean..
Answer:
7x+2=8x+5Recopilar términos semejantes
7x - 8x = 5 - 2-1x = 3x = 3/-1x = - 3In year, 2004, I put $20.00 into an account to save. This account annual interest fee is 0.002%. However, every 10th year the interest rate get doubled and is now 0.004%. After, the 10th year it goes back to the original interest rate of 0.002% annually. If I check the amount I know have in total included my principal of $20.00, in the year of 2021. What would the total amount be of putting it there
9514 1404 393
Answer:
$20.01
Step-by-step explanation:
In 2004–2012, the interest rate is 0.002%. In 2013, it is 0.004%. In 2014–2021, the interest rate is 0.002%. That is, in the 18 years between 2004 and 2021 (inclusive), the interest rate is 0.002% for 17 of them. The effective account multiplier is ...
(1.00002^17)(1.00004^1) = 1.00038006801
Then the account balance is ...
$20 × 1.00038006801 ≈ $20.01
_____
Additional comment
The annual interest earned on $20.00 is $0.0004. If the account balance is rounded to the nearest cent annually, at the end of the 18 years, the balance will still be $20.00. Not enough interest is earned in one year to increase the balance above $20. At the end of the 18 years, the amount of interest earned is 0.76¢ (a fraction of a penny) only if there is no rounding in intervening years.
The number 62 is less than the number of tickets sold in a day at an amusement park. Which of the following inequalities represents the number of tickets sold in a day at the park?
A.
x > 62
B.
x < 62
C.
x = 62
D.
x < 64
Answer:
A
Step-by-step explanation:
because > means more than the other number
Anyone knows the meaning of these verse:-
اِنَّاۤ اَعْطَيْنٰكَ الْكَوْثَرَ فَصَلِّ لِرَبِّكَ وَا نْحَرْ اِنَّ شَا نِئَكَ هُوَ الْاَ بْتَرُ
(QS. Al-Kawthar 108: Verse1- 3)
Write the expression in rational exponent form.[tex](\sqrt[4]{x}+5)^{3}[/tex]
[tex] = \: \: \: \sqrt[4]{ {x}^{3} + 15 \sqrt{x} + 75 \sqrt[4]{x} + 125 } [/tex]
hope it helps
see the attachment
HELP! DUE SOON! X^2=6
Answer:
x² = 2
x = sqrt. of 6
x = (+-)2.449
Step-by-step explanation:
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A jar contains 0.65 liter of lime juice and 0.40 liter of orange juice. Meg poured 0.35 liter of cranberry juice into the jar. She then drank 0.10 liter of the mixture.
Part A: Write an expression to represent the total amount of juice left in the jar. (5 points)
Part B: Simplify the expression and identify which property is used in each step. (5 points)
Answer:
Part A: 0.65+0.4+0.35-.1
Part B: 1.3L left and basic maths
Answer:
Step-by-step explanation:
I NEED URGENT HELP PLSS
Answer:
try b or c hop this help have a good day
Answer:
D
Step-by-step explanation:
the answer is D.. nothing to say step by step
Write an equation that represents the line.
Use exact numbers.
Answer:
y = 1.5x + 3
Step-by-step explanation:
Take the two points marked by the blue dots.
(0,3), (2,6)
Start with (0,3). The zero makes the other number with it = to the y intercept.
So far what you know is
General equation: y = mx + b
b = 3
Partial equation: y = mx + 3
Givens
To get m, you need both points.
y2 = 6
y1 = 3
x2 = 2
x1 = 0
Equation
m = (y2 - y1) / (x2 - x1)
m = (6 - 3) / (2 - 0)
m = 3 / 2
Entire equation
y = 3/2 x + 3
or
y = 1,5x + 3
Solve the equation 3x2 +5=4x
Step-by-step explanation:
the roots are complex
the answer is in the image above
Solve pls branliest!
Answer:
1 23 then 70 .2 corrected
Is -45.58 an integer
Answer: Yes
Step-by-step explanation: Because a integer is -45.58
Calculate the work done to stretch an elastic string by 40cm if a force of 10N produces an extension of 4cm in it?
The work done to stretch an elastic string by 40cm is 20 Joules
Hooke law states that the force (F) applied to a spring is directly proportional to the extension (e).
F ∝ e
F = ke
k is the constant
Given that a force of 10N produces an extension of 4cm, hence:
F = ke
10 = k(4)
k = 2.5 N/cm
For an extension of 40cm, the work done is:
Work done = (1/2)ke²
Work done = (1/2)(2.5 N/cm)(40 cm)² = 2000Ncm = 20 Nm
Work done = 20 Joules
The work done to stretch an elastic string by 40cm is 20 Joules
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