Answer: D. {12, 13, 14, 15, 16, 17, 18}
Step-by-step explanation:
The union of two sets A and B is the set of elements which are in A, in B, or in both A and B, without repetition.
In this case, the union of the sets G and H will be the set of elements in G= {12, 14, 16, 18} and then the set of elements in H= {13, 15, 17, 18}, excluding those that already were in G, which in this case is the number 18.
Then:
G ∪ H={12, 13, 14, 15, 16, 17, 18}
Lines s and t are perpendicular If slope of line s is 5 what is the slope of line t
What are the subsets of the set {7, 8, 9}?
The subsets of the set {7,8,9} are explained below:
Given that,
The given set is {7,8,9}.We need to find the subset of the above set.Based on the above information, the subsets are as follows:
{} = empty set
{7,8,9}
{7}
{8}
{9}
{7,9}
{7,10}
{8,9}
Therefore the above are the subsets.
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The population of Columbus, Ohio in 2014 was about 823,000. The population of the United States was 319 million in 2014.
About how many times larger was the population of the United States than the population of Columbus, Ohio?
Please show how you got answer.
under the translation t(4,-8), a point at (7,13) becomes what new point?
original point is (7,13)
with translation (4,-8)
add 4 to 7 = 11
subtract 8 from 13 = 5
new point = (11,5)
What are the equation(s) used to solve the absolute value equation below: |3x + 2| = 10
Which conversion factors can be used to multiply to 4 km/min to get meters per hour?
Select each correct answer.
60 min/1 h
1000 m/1 km
1 km/1000 m
1 h/60 min
Why do you think it might be useful to rearrange formulas before solving for one of the variables
Answer:
It’s easier to find the solution to a variable when that variable is by itself on one side of the equal sign. Rearranging formulas before substituting values for each variable makes calculations more straightforward. With this approach, we only need to perform operations such as multiplication, division, addition, and subtraction on one side of the equal sign, and we simplify instead of solving by using the properties of equality.
Step-by-step explanation:
Line AB contains points A (-1,3) and B (5,3). Line AB has a slope that is
Evaluate the expression for the given values. mx−y when m=2, x=7, and y=5 Enter your answer in the box.
April 15 is the _____. date you will receive your tax refund date you will receive your W-2 form deadline to file your tax return deadline to submit your W-4 form
An elevator started on the ground floor. It went up 4 floors, down 4 floors, up 8 floors, and down 2. Which expression matches the scenario?
a= |+4|-|-4|-|+8|-|-2|
b= (+4)-(-4)-(+8)-(-2)
c= (+4)+(-4)+(+8)+(-2)
d= |+4|+|-4|+|+8|+|-2|
The correct mathematical expression for the elevator's movement of up 4, down 4, up 8, and down 2 floors is option c: (+4) + (-4) + (+8) + (-2).
The correct expression that matches the scenario where an elevator went up 4 floors, down 4 floors, up 8 floors, and then down 2 floors is (+4) + (-4) + (+8) + (-2). Let's break it down step by step:
The elevator first goes up 4 floors, which can be represented as +4.Then it goes down 4 floors, which is the opposite of going up, so we represent this as -4.Next, the elevator goes up 8 floors, which is +8.Finally, it goes down 2 floors, which is -2.By combining these, the expression becomes c= (+4) + (-4) + (+8) + (-2). This expression correctly reflects the elevator's movements up and down the floors.
Please help!! I'm giving brainliest!!Suppose the number of students who prefer classical music is 64. What would be the relative frequency? Round the answer to two decimal places if needed.
(1 point)
A.0.64 B.0.25
C.0.09
D.0.11
Answer:0.9
Step-by-step explanation:
test
How many different tax brackets are there in the United States currently?A.35 B.6 C.10 D.1
Tell which number is prime: 19, 28, 49, 63.
Answer:
The number 19 is the prime number.
Step-by-step explanation:
Consider the provided number.
Prime number: A prime number is a whole number which is greater than 1 and the factors of the number are 1 and itself.
The prime factorization of the provided numbers are:
19 = 1×19
28 = 2×2×7
49 = 7×7
63 =7×9
Here 19 is the only number having factors 1 and 19 which is itself.
Hence, the number 19 is the prime number.
State two pairs of angles that are congruent. Justify your answer.
tom is 4 more than twice andrews age. sara is 8 less than 5 times andrews age. if tom and sara are twins, how old is andrew?
If $3 million is invested at 6% interest compounded continuously how much will the investment be worth in 35 years
Carol is building a screen door. The height of the door is one foot more than twice its width. What is the width of the door if the height is seven feet?
A company sells boxes that are 2 3/8 feet high, 3 5/8 feet long and 1 7/8 feet wide. John has a storage room that is 8 feet wide, 10 feet deep, and 12 feet high. You may rotate the boxes so that the width and length are interchanged, but the boxes may not be laid on their sides. What is the maximum number of boxes that he may stack on top of one another?
mandy's school has 1300 girls. the ratio of boys to girls is 17:20. How many boys attend mandy's school
There are 1,105 boys attending Mandy's school.
To calculate the number of boys in Mandy's school, we use the provided ratio of 17:20, which corresponds to the number of boys and girls respectively.
With 20 parts equal to the 1,300 girls enrolled, one part equals 65 girls, and thus there are 17 parts representing boys. Multiplying 17 by 65 gives us 1,105 boys attending the school.
To apply this ratio, we'll perform the following steps:
Determine the total number of parts in the ratio. Since the ratio is 17 boys to 20 girls, 17 + 20 = 37 parts in total.Calculate the value of one part. Since there are 1,300 girls and they are represented by 20 parts one part equals 1,300 girls "/" 20 = 65 girls.Find the number of boys. Since each part represents 65 individuals and there are 17 parts representing boys, the number of boys is 17 * 65 = 1,105 boys.Therefore, there are 1,105 boys attending Mandy's school.Andy deposited $1,567.12 in a savings account that earns 1.9% simple interest. What will Andy's account balance be in nine months? How would i solve this?
Which equation is the inverse of y = 16x2 + 1?
we have
[tex]y=16x^{2} +1[/tex]
Step 1
exchange variables x for y and y for x
[tex]x=16y^{2} +1[/tex]
Step 2
Isolate the variable y
Subtract [tex]1[/tex] both sides
[tex]x-1=16y^{2}+1-1[/tex]
[tex]16y^{2}=x-1[/tex]
Divide by [tex]16[/tex] both sides
[tex]16y^{2}/16=(x-1)/16[/tex]
[tex]y^{2}=\frac{x-1}{16}[/tex]
Square root both sides
[tex]y=(+/-)\sqrt{\frac{x-1}{16}}[/tex]
[tex]y=(+/-)\frac{\sqrt{x-1}}{4}[/tex]
Step 3
Let
[tex]f(x)^{-1}=y[/tex]
[tex]f(x)^{-1}=(+/-)\frac{\sqrt{x-1}}{4}[/tex]
therefore
the answer is
The inverse is equal to
[tex]f(x)^{-1}=(+/-)\frac{\sqrt{x-1}}{4}[/tex]
The inverse of the function is y = \sqrt{x+1/16}
Inverse of functionsGiven the expression
y = 16x² + 1
We see to find the inverse of the function
Replace y with x to have;
x = 16y² - 1
Make y the subject of the formula
16y² = x + 1
Divide both sides by 16
16y²/16 = x+1/16
y² = x+1/16
Take the square root of both sides
y = \sqrt{x+1/16}
Hence the inverse of the function is y = \sqrt{x+1/16}
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how to convert 1500 ml to liters
Conversion of 1500 mL to liters is 1.5 liters.
To convert 1500 mL to liters, follow the strategy for conversions. You are starting from mL, which is a smaller unit, and want to find out how many liters this is equivalent to, with liters being the larger unit.
Firstly, we know that 1 liter is equivalent to 1000 milliliters. Since we are converting from a smaller unit to a larger unit, you will need to divide the number of mL by 1000. Therefore:
1500 mL / 1000 = 1.5 liters.
You will need to move the decimal point 3 places to the left because there are 3 zeros in 1000. So, the final step to convert 1500 ml to liters is to simply divide 1500 by 1000, which gives us 1.5 liters.
what’s 2/5+3/4+1/2 in simplest form
Two planes that are initially 800 mi apart are flying directly toward each other. one flies at 250 mph and the other at 150 mph. how long will it be before they meet?
How exactly would I have to check my work for -x^2 = -36? The answer is 6 right?
what is the product of −2 1/4 and −4 1/2 ?
My rectangular soccer field site has a length equal to three times its width. find its area in terms of its length x.
-4(w+3)+5w what is this answer
How many twentieths are in five halves
There are 20 twentieths in five halves. This conversion is achieved by first converting halves to tenths (5 halves = 10 tenths) and then further converting tenths to twentieths by doubling the numerator, resulting in 20 twentieths in total.
To determine how many twentieths are in five halves, we need to convert both fractions to a common denominator. Since twentieths have a denominator of 20 and halves have a denominator of 2, we can make them compatible by expressing halves as tenths (which have a denominator of 10) and then further converting them to twentieths.
First, we can rewrite five halves as ten tenths (5/2 = 10/10). Now, we need to express tenths as twentieths, which is done by doubling the numerator. So, 10 tenths are equivalent to 20 twentieths.
Therefore, there are 20 twentieths in five halves.
In summary, when converting from halves to twentieths, we first turn halves into tenths by multiplying by 10, and then we further convert tenths to twentieths by doubling the numerator. Thus, five halves equal 20 twentieths.]
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