To find the number of milligrams in 0.5 mL of a 1:1000 solution, we can set up a proportion: 1 mg / 1000 mL = x mg / 0.5 mL. Cross-multiplying, we get: x mg = (1 mg / 1000 mL) * 0.5 mL. Therefore, there are 0.0005 milligrams in 0.5 mL of a 1:1000 solution.
Explanation:To determine the number of milligrams in 0.5 mL of a 1:1000 solution, we need to understand the ratio. In a 1:1000 solution, the first number represents the amount of solute (in this case, milligrams) and the second number represents the amount of solvent (in this case, milliliters). So, in a 1:1000 solution, there is 1 milligram of solute in 1000 milliliters of solvent.
To find the number of milligrams in 0.5 mL, we can set up a proportion:
1 mg / 1000 mL = x mg / 0.5 mL
Cross-multiplying, we get:
x mg = (1 mg / 1000 mL) * 0.5 mL
x mg = 0.0005 mg
Therefore, there are 0.0005 milligrams in 0.5 mL of a 1:1000 solution.
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Let j = 16. What is the value of k in the equation k = 2 × j + 4?
please I need help and I dont get it..
True or false;
If two planes cross one another, then their intersection is two lines.
What is 50,935 divided by 5?
Simplify the expression insert
A square has a perimeter of 760 feet, what is the length of each side?
Someone pleas help me!!!!!! An irrational number cannot be written as a ______ of two integers.
a) difference b) ratio
Marty is spending money at the average rate of $3 per day. After 14 days he has $68 left.
a) Write the equation to model this situation, where x is the number of days.
b) Use the equation to determine how much money Marty had two weeks ago.
c) Use the equation to determine when Marty will run out of money if he continues to spend at this rate.
a) equation to model this situation can be
14x + 68 = 0
b) so, the money he had before two weeks are
14(3) + 68 = $120
c) equation to determine when Marty will run out of money if he continues to spend at this rate is 57 days and 8 hours.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Given:
Spent per day = $3
After 14 days = $68 left
a) equation to model this situation can be
14x + 68 = 0
b) so, the money he had before two weeks are
14(3) + 68 = $120
c) equation to determine when Marty will run out of money if he continues to spend at this rate.
let the total money be a
a - 14x = 120
a = 14(3) + 120
a = 172
So, if m is the number of days
172 - 3m = 0
3m= 172
m = 57 days and 8 hours
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What is the equivalent fraction?
Drag the answer into the box to match the decimal.
0.7¯
The equivalent fraction of 0.7 is 7/9.
What is a fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
The decimal 0.7¯ (0.7777...) represents a repeating decimal in which the digit 7 repeats infinitely. To convert this to a fraction, we can use the following steps:
Let x = 0.7¯
Multiply both sides by 10 to move the decimal point one place to the right:
10x = 7.7¯
Subtract the left-hand sides of the first and second equations, and the right-hand sides of the first and second equations, to get:
10x - x = 7.7¯ - 0.7¯
Simplify both sides:
9x = 7
Divide both sides by 9:
x = 7/9
Therefore, the equivalent fraction for 0.7¯ is 7/9.
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Lizzie played tennis for 2 2/3 hours. Andrew played tennis for 1 1/3 hours. How much longer did Lizzie play tennis than Andrew?
Which of the following statements describes this sequence 1, 3, 9, 27
I this is an arithmetic sequence
II The common ratio for this sequence is 3
III the next term in the sequence is 54
IV The sequence can be described by the expression n+3
I and IV
I,II, and III
II
The given sequence is a geometric sequence with a common ratio of 3. The next term of the sequence is 81, not 54. The sequence cannot be described by the expression n+3 or as an arithmetic sequence.
Explanation:The sequence given is 1, 3, 9, 27, which is a sequence where each term is a multiple of the previous term. This type of sequence is called a geometric sequence. In this particular sequence, it is clear that every term is being multiplied by 3 to obtain the next term. Hence, the common ratio for this sequence is indeed 3 (Statement II).
This sequence is not an arithmetic sequence (Statement I is false) because the difference between successive terms is not constant. Furthermore, the sequence can't be described by the expression n+3 (Statement IV is false) because the sequence doesn't increment by adding 3 to each term; instead, it increments by multiplying the previous term by 3. Lastly, the next term in the sequence is not 54 (Statement III is false). It is 81 because you multiply the previous term (27) by the common ratio (3) to get 81.
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Please need help on this
roselia build a cabinet in the shape of a rectangular prism.The cabinet was 30 inches wide, 4 feet tall,and 18 inches deep. What is the Valume of the cabinet in cubic feet
The cabinet's volume is 15 cubic feet.
The student is asking how to calculate the volume of a cabinet in the shape of a rectangular prism. The cabinet dimensions provided are 30 inches wide, 4 feet (48 inches) tall, and 18 inches deep. To find the volume in cubic feet, we first need to ensure all dimensions are in the same units, so we convert inches to feet by dividing by 12.
Thus, the cabinet dimensions in feet are 2.5 feet wide (30 inches / 12), 4 feet tall, and 1.5 feet deep (18 inches / 12).
The formula to calculate volume is length x width x height:
Volume = width x height x depth
Volume = 2.5 ft x 4 ft x 1.5 ft
Volume = 15 cubic feet
Therefore, the volume of Roselia's cabinet is 15 cubic feet.
A line has a slope of - 3/5. Which ordered pairs could be points on a line that is perpendicular to this line? Check all that apply.
(–8, 8) and (2, 2)
(–5, –1) and (0, 2)
(–3, 6) and (6, –9)
(–2, 1) and (3, –2)
(0, 2) and (5, 5)
It's (-8,8) and (2,2)
(-2,1) and (3,-2)
Answer:
(–3, 6) and (6, –9) and (0, 2) and (5, 5)
Step-by-step explanation:
Given : Slope = [tex]\frac{-3}{5}[/tex].
To find: Which ordered pairs could be points on a line that is perpendicular to this line.
Solution : We have given that Slope = [tex]\frac{-3}{5}[/tex].
Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}- x_{1}}[/tex].
For (–8, 8) and (2, 2)
Slope = [tex]\frac{2- 8 }{2 + 8}[/tex].
Slope = [tex]\frac{-6 }{10}[/tex].
Slope = [tex]\frac{-3 }{5}[/tex].
For (–5, –1) and (0, 2).
Slope = [tex]\frac{2+1 }{0 + 5}[/tex].
Slope = [tex]\frac{3 }{5}[/tex].
For, (–3, 6) and (6, –9)
Slope = [tex]\frac{-9- 6}{6 + 3}[/tex].
Slope = [tex]\frac{-15 }{9}[/tex].
Slope = [tex]\frac{-5}{3}[/tex].
For (–2, 1) and (3, –2)
Slope = [tex]\frac{-2 -1 }{3 +2}[/tex].
Slope = [tex]\frac{-3 }{5}[/tex].
For (0, 2) and (5, 5)
Slope = [tex]\frac{5 -2 }{5 -0}[/tex].
Slope = [tex]\frac{3 }{5}[/tex].
Therefore, (–3, 6) and (6, –9) and (0, 2) and (5, 5)
Jaden buys a raffle ticket. Each ticket has a 1% chance of being drawn. How likely is it that Jaden's ticket will be drawn? It definitely will be drawn.
It likely won't be drawn.
It likely will be drawn.
It definitely won't be drawn.
The answer is - It likely won't be drawn. The likelihood of Jaden's ticket being drawn is 1%, so it is unlikely that his ticket will be selected.
The likelihood that Jaden's ticket will be drawn depends on the probability of his ticket being selected. In this case, each ticket has a 1% chance of being drawn, which means there is a 1 in 100 chance that Jaden's ticket will be selected. Therefore, it is likely that Jaden's ticket won't be drawn.
Jaden's raffle ticket has a 1% chance of being drawn, making it much more likely that it won't be drawn than it will. The concept of 'being due to win' is a common fallacy as each draw is an independent event with a constant probability.
Michael does not want to spend more than $21.00 on a new backpack, not including tax. Select all of the following descriptions of prices for backpacks that Michael would buy.
You are reading a book with 120 pages if you want to read the same number of pages each night how many would you have to read each night to finish in 10 days
Need help on this please
Which expressions result in a rational number?
Rational numbers are those that can be expressed as a fraction of two integers. Examples of expressions that result in rational numbers include simple calculations or operations that result in whole numbers or decimal numbers that can be written as a fraction.
Explanation:In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, with the denominator not being zero. If an expression results in such a number, then it is considered a rational number.
Let's consider some examples from the given information:
106 (6-3): This equates to 10^3 which will result in the number 1000, a rational number as it can be expressed as 1000/1. 4.5 × 10⁹: The result of this multiplication also gives a rational number as it can be written in a fraction form. 0.3333: This number is also rational as we can write it as 3333/10000. 0.6: This can be written as 6/10 or 3/5, so it's also a rational number.
However, numbers resulting from certain trigonometric functions like sine and cosine, logarithms, or exponential functions may not always be rational. These functions require pure numbers as inputs and outputs.
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g={(-9,6),(-6,4),(2,-6),(6,-5)}
h(x)=3x-4
find the following
g^-1(-6)=
h^-1(x)=
(h^-1·h)(3)=
The table contains data on the admission price (in dollars) for one-day tickets to 10 theme parks in the United States. Find the interquartile range for this data set. The numbers are 60 60 42 43 25 52 65 43 42 40
To find the IQR, the data was first sorted and then split into two halves to find Q1 (42) and Q3 (60). The IQR of the theme park ticket prices is the difference between Q3 and Q1, which is 18 dollars.
Explanation:To find the interquartile range (IQR) of the admission price for one-day tickets to 10 theme parks in the United States, first, we need to arrange the data in ascending order: 25, 40, 42, 42, 43, 43, 52, 60, 60, 65. With the data sorted, we find the median (the middle value) to divide the data set into two halves. However, since there are an even number of observations, the median will fall between the two middle numbers. The two middle numbers are the 5th and 6th values, which are 43 and 43, so their average is also 43.
Next, we find the first quartile (Q1) and the third quartile (Q3). Q1 is the median of the first half of the data (25, 40, 42, 42, 43), which is 42. Q3 is the median of the second half of the data (43, 52, 60, 60, 65), which is 60. The IQR is then found by subtracting Q1 from Q3, which is 60 - 42 = 18.
A group of students stood in a circle to play a game. The circle had a diameter of 22 meters. Which measurement is closest to the circumference of the circle in meters?
Answer:
It's 69.08
Step-by-step explanation:
a right triangle has a legs measuring 16 in and 28 in
What is the length of the hypotenuse?
Round your answer to the nearest tenth.
a. 23.0 in.
b. 32.2 in.
c. 44.0 in.
d. 1040.0 in.
URGENT
WILL MARK BRAINLEIST
Mr. carlucci brought 8 3/4 pounds pepperoni for large sandwiches. He cut the pepperoni into 1/12 pound slices. A skateboarder bumped into his table and 2 7/12 pound of the pepperoni fell on the ground and was eaten by 3 dogs. Does mr. carlucci have enough pepperoni left to make 74 sandwiches if he puts one slice on each sandwich? By how much is he over or under the amount of pepperoni he needs?
Can you please answer for 30 points Thanks
Answer:
Step-by-step explanation:
To find angle 3, we need to first find angle 2.
-It is given that it's a square. The full angle is 90°. Angle 2 would be 90-72, which is 18°.
Now that we have angle 2, we can find angle 3 because angle 2 and 3 are linear pairs.
180°-18°
162°
m<3=162°
Karina bought a camera with the regular price of $99. It was on sale at a 20% discount. There was a 7% tax on the sale price. How much did Karina spend to buy the camera? PLEASE SHOW YOUR WORK
Find the total surface area of a triangular pyramid if the perimeter is 30 feet, the slant height is 12 and the base is 43.5ft
a pool is in shape of a rectangular prism. on monday water was pumped out of the pool at a constant rate starting at 12:00 pm to 12:15 pm the water in pool was 45 inches deep. at 12:35 pm the water in the pool was 41 inches deep by how many inches does the depth of the water decrease each minute ?
The depth of the water decreases by each minute will be 1 / 5 inches.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a pool is in the shape of a rectangular prism. on Monday water was pumped out of the pool at a constant rate starting at 12:00 pm to 12:15 pm the water in the pool was 45 inches deep. at 12:35 pm the water in the pool was 41 inches deep
From 12:15 to 12:35, 20 minutes passed. 4 inches of water have drained in these 20 minutes.
4 inches in 20 minutes = 4 / 20 = 1/5 inch per minute.
Therefore, the depth of the water decreases by each minute will be 1 / 5 inches.
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A random sample (Sample 1) of the cars' average driving speed (km/h) is: 120, 132, 142, 119, 112, 130, 149, 111, 167, 139, 141. A random sample (Sample 2) of the SUVs' average driving speed (km/h) is: 112, 135, 124, 115, 119, 90, 112, 134, 113, 114, 115. What is the median of Sample 1? What is the median of Sample 2?
(08.02)Which of the following graphs best represents the solution to the pair of equations below? y = −x + 6 y = 2x − 3