Proportionately, the quantity of milligrams of vitamin c in 1 orange is 33.75 mg.
What is proportion?Proportion refers to the part of a whole contained in another value.
Proportion is a ratio representation, which is fractional in value.'
We depict proportions using decimals, fractions, or percentages.
The daily recommended allowance of vitamin c for a sixth grader = 45 mg
The content of 1 orange to the daily recommended allowance = 75%
75% of 45 mg = 33.75 mg.
Thus, 1 orange will proportionately contain 33.75 mg, which is 75% of 45 mg.
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In the equation 12u + 3v = 0, if u = 1, find the value of v.
Answer:
v = -4.
Step-by-step explanation:
Replace the u in the equation by 1, so we have:
12*1 + 3v = 0
3v = -12
v = -1/3 = -4.
The shelf life of a dairy product is normally distributed with a mean of 5 days and a standard deviation of 4 days. What is the probability that the product has a shelf life of at least 1 week and at most 2 weeks
The probability that the product will last for at least 1 wee and at most 2 week is 0.30.
What does the probability rule for products mean?This independent transmission of characteristics phenomenon can be explained by the product rule of probability. It claims that multiplying the odds of each event occurring alone will yield the probability of two independent events occurring together.
How do you calculate a product's probability?P(E F) = P(E) P(F) is the product rule, where E and F are independent events. Explain that independence means that the likelihood of one event occurring has no bearing on the likelihood of the other.
The probability that the product will last for at least 1 wee and at most 2 week is 0.30.
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Help, please. 20 POINTS
Answer:
C. x=68 and y=112
Step-by-step explanation:
We can find that x=68 by adding 52 and 60 together which would get us 112. Then subtracting 112 from from 180 leaving us with our sum of 68, which means x=68. Then we find the value of y by adding the two interior angles on the opposite sides of the triangle. So 52+60=112. This makes y=112.
-Hope this helped
Answer:
x = 68
y = 112
Step-by-step explanation:
The interior angles of a triangle add to 180º.
Using this knowledge, we can solve for x:
52º + 60º + xº = 180º
↓ subtract 52º and 60º from both sides
xº = 180º - 52º - 60º
xº = 68º
x = 68
The interior and corresponding exterior angles of a triangle are supplementary (they add to 180º).
Using this knowledge, we can solve for y:
xº + yº = 180º
↓ substitute for solved x-value
68º + yº = 180º
↓ subtract 68º from both sides
yº = 112º
y = 112
I need help with this
Answer:g
Step-by-step explanation:
g
Serena paid $194.99 for a game system and then bought two equally-priced games. She spent a total of $284.97.
Answer:
Serena paid $194.99 for a game system and then bought two equally-priced games. She spent a total of $284.97.
Step-by-step explanation:
an object hangs from a string in a stable position and is represented by the function y=4sin(3x)+4, with time in x seconds. what is the maximum height of the object, and when does it occur on the interval 0
Answer:
Here we have the position of an object represented by the equation:
y = 4*sin(3*x) + 4
Where we can assume that y represents the height of the object.
We want to find the maximum height of the object, and for which value of x it happens in the interval 0 ≤ x ≤ 5
First let's find the maximum height.
y = 4*sin(3*x) + 4
Here the only variation is on the sin( ) part, we know that the maximum value of the sin(x) function is:
sin(x) = 1
when x = 90° = pi/2 = 3.14/2
Replacing that in the equation, we get:
y = 4*1 + 4 = 8
The maximum height of the object is 8.
Now, we know that the maximum of the sin(x) function is when x = pi/2
But in our case, we have the function sin(3*x)
Then this function is maximized when:
3*x = pi/2
x = pi/(2*3) = pi/6 = 3.14/6
And:
0 < 3.14/6 < 5
Then the first maximum occurs at x = 3.14/6 = 0.52
But it can happen again on the interval.
The next maximum of the sin(x) function is when:
x = pi/2 + 2*pi
In our case, we again have sin(3*x), then we need to solve:
3*x = pi/2 + 2*pi
x = (pi/2 + 2*pi)/3 = (3.14/2 + 2*3.14)/3 = 2.62
This is also in the interval 0 < x < 5
The next maximum of sin(x) happens at:
x = pi/2 + 2*pi + 2*pi
In our case, for sin(3*x) we need to have:
3*x = (pi/2 + 2*pi + 2*pi)
x = (3.14/2 + 2*3.14 + 2*3.14)/2 = 4.71
This again is in the interval 0 < x < 5
(is closer to the upper value, so we can expect that the next maximum does not belong to the interval)
Then the maximum height occurs at:
x = 0.52
Then occurs again at:
x = 2.62
And finally occurs again at:
x = 4.71
Plz, help me with this question!
Answer:
C. 250 miles
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
mark as brailest!!
-50 POINTS-
Don’t need to explain
A.)
B.)
C.)
Answer:
C
Step-by-step explanation:
A prism with a length of 4 meters, height of 3 meters, and width of 5 meters.
The length of the prism is
m.
The width of the prism is
m.
The height of the prism is
m.
The prism holds a total of
cubes.
The volume is
m3
Answer:
The volume of the prism is 60 m³.
Step-by-step explanation:
Given that,
The length of the prism is 4 m
The width of the prism is 5 m
The height of the prism is 3 m
The volume of prism is given by the formula as follows :
V = lbh
Put all the values,
V = 4 m × 3 m × 5 m
= 60 m³
Hence, the volume of the prism is 60 m³.
Answer:
1.4
2.5
3.3
4.60
5.60
Step-by-step explanation:
I'm not good at this stuff i need help quick pleaseeeeee
Answer: 4 cm
EF is 20 cm and BC is 5. Take 20 divided by 5 and you get 4. This is the amount of how much the shape enlarged. For AC, take 16 divided by 4 and you get 4.
Hope it helps.
Answer and Step-by-step explanation:
We can use two methods to find the length of AC.
First method is the Pythagorean Theorem method.
The Pythagorean Theorem Formula is:
[tex]a^2 + b^2 = c^2[/tex]
Where:
a and b = are sides of a triangle
c = the hypotenuse
Plug in the values:
[tex]3^2 + (AC)^2 = 5^2\\\\\\\\9 + (AC)^2 = 25\\\\\\\(AC)^2 = 16\\\\\\AC = 4[/tex]
That means the length of side AC is equal to 4.
Background knowledge also tells us that this is a 3 4 5 triangle, because we have a 5 as the hypotenuse and a 3 for one of the sides.
Second method involving Similarity
We are told that the triangles are similar, which means that one of the triangle id a dilated version of the other, and vise versa.
We can find out the scale factor for these triangles by dividing the corresponding side lengths (which we will be using the hypotenuses).
20 divided by 5 = 4
If we divide the corresponding side of AC by 4, it will result in our answer.
16 divided by 4 = 4.
So, AC = 4
#teamtrees #PAW (Plant And Water)
These tables correspond to inputs and outputs. Which of these input and output tables could represent a function rule, and which ones could not?
Table A is a function.
Table B is not a function.
Table C is a function.
Table D is not a function.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
We know a relation is a function if it is one-to-one or many-to-one.
But a relation is not a function if it is one to many.
Table A is a function and it is a many-to-one function.
Table B is not a function as input 1 leads to two different outputs 1, - 1.
Table C is a function and it is a one-to-many function.
Table D is not a function as one input leads to 3 different outputs.
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What is the coefficient of x² in 2 X² x³?
The coefficient of x² in 2 x² x³ is 2 n with number.
2 x² x³
= 2 x² (x³)
= 2 x² (x x x)
= 2 x² x x x
The coefficient of x² is 2.The expression 2 x² x³ can be written as 2 x² (x³). This can be further simplified to 2 x² (x x x). The coefficient of x² is 2, which means that the coefficient of x² in 2 x² x³ is 2. The coefficient of a term is the numerical factor of the term, or the number that is multiplied with the term. In this case, the coefficient of x² is 2, as it is the number multiplied with x².
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ngl i forgot whats 23+41
Answer:
64
Step-by-step explanation:
23
41
____
6 4
Plllsss awnser soon!!!! Due in 5 mintues!!!!! A data set that consists of many values can be summarized using the five-number summary. Arrange these five values in order from least to greatest.
Answer:
Minimum, Q1, median, Q3, maximum
Step-by-step explanation:
The five number summary include :
Minimum valuewhich is the least value in the dataset
The first quartile which represents the lower 25% of the distribution
The median, marks up to 50% of the distribution
The Upper quartile, Q3, represents up to 75% of the distribution
The maximum value is the greatest Or largest number in the distribution.
Hence, arranging in order of least to greatest, well have ;
Minimum, Q1, median, Q3, maximum
5. Standard form of 15240000 is :
Answer:
1.524×10^7
Step-by-step explanation:
move the "comma" from the back till you get a number less than 10, the 7 is how many times you've moved the comma
3 tenths and 24 hundredths, after regrouping, there are
3 tenths and 24 hundredths, after regrouping gives 0.54
What does Regroup Mean?In math, regrouping can be defined as the process of making groups of tens when carrying out operations like addition and subtraction with two-digit numbers or larger. To regroup means to rearrange groups in place value to carry out an operation. We use regrouping in subtraction, when digits in the minuend are smaller than the digits in the same place in the subtrahend.
Given here, 3 tenths and 24 hundredths after regrouping we get
(3 tenths + 24 hundreths) = 0.54
Hence, 3 tenths and 24 hundredths after regrouping gives 0.54
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Please help!! Find the area of the circle use 3.14 for pi
Answer:
when pi = 3.14, A = 63.535
when pi = pi, A = 63.61725
Step-by-step explanation:
Area of a circle = pi × radius (4.5) squared (^2)
pls answer all questions
Spiders are arachnids with eight legs, as do all arachnids. Spiders differ from insects in that they have only six legs.
Do spiders have 6 or 8 legs?Crabs and prawns are also members of the phylum Arthropoda, which includes spiders. Spiders walk on eight legs, but they also have two additional legs that they utilise as hands. The front legs are called pedipalps, or palps for short.
Proteins are secreted by glands on spiders, which aid in the formation of the web. For a number of objectives, including prey capture, prey detection, tunnel lining, egg sacs, and prey wrapping, spiders can create a variety of webs or silks.
Spiders are venomous carnivores who hunt their prey with poison.In Everglades National Park, arachnids such as spiders, scorpions, mites, ticks, whip scorpions, and pseudoscorpions are all common.
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A Rectangle has diagonals of length 13 cm and width is 5 cm. Find the length of its side?
Answer:
Length = 12 cm
Step-by-step explanation:
using the Pythagorean theorem:
Length² = 13² - 5² = 169 - 25 = 144
Length = √144 m= 12 cm
Answer:
It's 34 cm
Step-by-step explanation:
Width of a rectangle = 5 cm
Diagonal of a rectangle = 13 cm
By Pythagoras Theorem,
Length of a rectangle = √(13² - 5²)
Or, Length of a rectangle = √(169 - 25)
Or, Length of a rectangle = √144
Or, Length of a rectangle = 12 cm
Perimeter of a rectangle = 2(12+5)
Or, Perimeter of a rectangle = 2×17
Or, Perimeter of a rectangle = 34 cm
Therefore, the perimeter of a rectangle = 34 cm
Someone help plz make sure it’s right plz will mark brainiest:) if it is!
Answer: The second option is right
Kayla uses 3 yards of yarn to make one key chain. She has 36 feet of yarn in one roll, 216 inches in a second roll, and 24 yards in a third roll. How many key chains can Kayla make with the yarn she has?
Your answer should be:She can make 92 key chains with the yarns she has.
Step-by-step explanation
1. Let's add and see the total of yarns she has!
36 + 216 + 24 = 276
2. Let's divide the total we got in 1 by the yard she needs to make one key chain!
276 ÷ 3 = 92
3. Your answer should be 92.
Luke randomly selects 25 students from his school and asks each of them how many minutes they read each night to find out how much, on average, students at his school read. This represents which type of data collection?
A: Census
B: Experiment
C: Observation
D: Sample
I'm pretty sure it's census
Is halting problem is solvable or unsolvable?
Therefore , the solution of the given problem of algorithm comes out to be halting problem is unsolvable.
Define algorithm.An algorithm is a process for carrying out a computation or resolving a challenge. Algorithms work as a detailed set of guidelines that lead hardware- or software-based routines through a series of predetermined actions step by step. Algorithms are frequently used in all areas of IT.
Here,
The halting problem, which claims that no program can be created that can anticipate whether or not any other program will halt after a finite number of steps, is an intractable algorithmic challenge.
The inability to solve the stopping problem directly affects software development.
Therefore , the solution of the given problem of algorithm comes out to be halting problem is unsolvable.
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please help: find m∠BCD
Answer:
m<BCD=60
Step-by-step explanation:
4x+6=7x-12
3x=18
x=6
4(6)+6
24+6
30
30+30=60
======================================================
Reason:
Use the HL (hypotenuse leg) theorem to prove that triangle BCF is congruent to triangle DCF.
It then leads to the fact that angle BCF is congruent to angle DCF.
Set those angle expressions equal to one another. Solve for x.
angle BCF = angle DCF
4x+6 = 7x-12
4x-7x = -12-6
-3x = -18
x = -18/(-3)
x = 6
Then,
angle BCF = 4x+6 = 4*6+6 = 30angle DCF = 7x-12 = 7*6-12 = 30Both angles are the same measure to confirm the correct x value.
Lastly, add up those angles to get angle BCD.
30+30 = 60 degrees is the final answer.
10. Find the solution set for the following
y=x²-3x-4
y-x=-4
Answer:
I have no idea tbh I need help with this too
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!!!!
Please help! I have a barrel of apples. 70% are red and 30% is green but 24% of all green apples are damaged. What is the remaining percentage of green apples?
Answer:
6
Step-by-step explanation:
Answer:
22.8% ≈ 23%
Step-by-step explanation:
Since we don't know the number apples, I just turned the percentages into decimals
30% = 0.3
24% = 0.24
1.00 - 0.24 = 0.76 *Since 24% of green apples are damaged, then 76% are not damaged*
0.3 x 0.76 = 0.228 = 22.8% ≈ 23%
May someone please help me
The positive value of the distance between the two objects
is [tex]r = + \sqrt\frac{GM_1M_2}{F_g}[/tex]
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Considering the equation for determining the gravitational pull between two items [tex]F_g = \frac{GM_1M_2}{r^2}[/tex], where r is the distance between the objects M is the individual masses and G is the gravitational constant.
The answer to the r in the problem has two values. Since distance cannot be negative, there can only be one positive value, hence we want the positive value.
[tex]F_g = \frac{GM_1M_2}{r^2}[/tex]
[tex]r^2 = \frac{GM_1M_2}{F_g}[/tex].
[tex]r = \pm\sqrt\frac{GM_1M_2}{F_g}[/tex]
[tex]r = +\sqrt\frac{GM_1M_2}{F_g}[/tex].
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Two shipping companies charge different amounts to ship a package. Company A charges a fee of $6.50 and $0.35 for each pound. Company B charges a fee of $7.25 and $0.25 for each pound. Write an equation that could be used to find p, the number of pounds each package would have to weigh for the total cost of shipping the packages to be the same.
The number of pounds each package would have to weigh for the total cost of shipping the packages to be the same will be 7.50 pounds.
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.
The cost to transport an item varies between two shipping providers. The price charged by Company A is $6.50 plus $0.35 per pound. Charges from Company B are $7.25 plus $0.25 per pound.
Let 'p' be the number of pounds and 'T' be the total cost of shipping. Then the equations are given as,
T = 0.35p + 6.50
T = 0.25p + 7.25
If the total cost of shipping the packages is to be the same. Then the number of pounds is given as,
0.35p + 6.50 = 0.25p + 7.25
0.35p - 0.25p = 7.25 - 6.50
0.10p = 0.75
p = 7.50 pounds
The number of pounds each package would have to weigh for the total cost of shipping the packages to be the same will be 7.50 pounds.
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We know 5. 3 = 15. Which 2 of the following statements must also be true? (You need to select 2 answers) 9 5 is a factor of 15. 3 is a multiple of 15. 15 is a multiple of 3.
Answer: 5 is a factor of 15.
15 is a multiple of 3.
Step-by-step explanation:
A Factor, is a number that can divide another number without a remainder. For example, 5 is a factor of 15 ad it can divide 15 evenly.
A multiple is simply a times table. For example, the multiples of 3 are 3, 6, 9, 12, 15, 18, 21 ......
Therefore, the correct option from the answers given are:
5 is a factor of 15.
15 is a multiple of 3.
Please help!! Due soon! No links or random words!! The mass of Saturn is
5.6861026 tonnes. The mass of Earth is 6.041021tonnes. How many times heavier is Saturn than the Earth? (Please round or put in scientific notation!!) Show work as well!!
Answer:
I know what assignment you have! I'll help.
look in the pic i sent.