The number of proper subsets contained in P if P={x| x is an odd, positive integer and x < 20} is 1023.
How to illustrate the information?It should be noted based on the information, the value of P will be:
= P(x is an odd, positive integer and x < 20}
P = (1, 3, 5, ,7, 9, 11, 13, 15, 17, and 19)
Therefore, it should be noted that there are 10 numbers.
Therefore, the number of subsets will be:
= 2^n - 1
= 2^10 - 1
= 1023
Therefore, the number of proper subsets contained in P if P={x| x is an odd, positive integer and x < 20} is 1023.
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Determine the number of proper subsets contained in P if P={x| x is an odd, positive integer and x < 20}.
In which number is the value of the 6 ten times as great as the value of the 6 in 162,398
The value of the 6 ten times as great as the value of the 6 in 162,398 is 600,000.
The value of 6 in 162,398 is 60,000. And we have to find the value of the 6 ten times as great as the value of the 6 in 162,398. Simply multiply the value of 6 in 162,398 i.e., 60,000 by 10.
⇒60,000x10
⇒600,000
∴ 600,000 is the value of the 6 ten times as great as the value of the 6 in 162,398.
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2) An exam worth 145 points
contains 50 questions. Some of
the questions are worth two
points and some are worth five
points. How many two point
questions are on the test? How
many five point questions?
The exam has 35, 2-point questions, and 15 5-point questions solved by linear equations.
A linear equation is an equation with only one variable. It has the formula Ax + B = 0, where A and B can be any two real values, and x is an unsolved variable.
Let us assume there are x 2-points question, so there are x-50 5-points question .
Hence total no of points: 2×x+5×(50-x)=145 points
This forms a linear equation in x.
Now let us solve the linear equation in x to get the number of 2 mark questions.
2x+250-5x=145
or, -3x=-105
or, x=-105/-3
or, x=35
There are 35 2-points questions
Remaining questions 50-35=15
Hence there are 15 5-points questions.
Solving the linear equation we get 35 2 point questions and 15 5 point questions.
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A triangle has three interior angle measures; x is the largest angle, y is the next largest angle, and z is the smallest angle.
The measure of the largest angle is 40 degrees less than the sum of the measure of the other two angles.
The largest angle is twice the smaller angle minus 30 degrees.
The sum of the triangle's interior angles is x + y + z = 180.
Which two equations represent the remaining angle relationships?
Select each correct answer.
x = y + z + 40
x, = , y, + , z, + 40
x=2z−30
x equals 2 z minus 30
x=30−2z
x equals 30 minus 2 z
x=y+z−40
x equals y plus z minus 40
x=y−z+40
The equations that represent the remaining angle relationships will be D. x=y+z−40
x equals y plus z minus 40
How to illustrate the information?It should be noted that the measure of the largest angle is 40 degrees less than the sum of the measure of the other two angles.
This will be x = y + z - 40.
Also, the sum of the triangle's interior angles is x + y + z = 180.
Therefore the correct option is D.
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For ()=‾‾√, use the values of (144) and (169) to estimate the value of 155‾‾‾‾√.
The square root of 155 is estimate according to the following compound inequality:
12 < sqrt(155) < 13.
What is a compound inequality?A compound inequality is a combination of multiple inequalities, at least two, involving operations such as and and or, explained below.
The and operation between multiple sets is composed by the elements that belong to all the sets.The or operation between multiple sets is composed by the elements that belong to at least one of the sets.Hence one example of a compound inequality is:
a ≤ x ≤ b.
Which is read as follows:
x is greater or equal than a and less or equal than b.
For this problem, we have that:
12² = 144, hence sqrt(144) = 12.13³ = 169, hence sqrt(169) = 13.Considering that 155 is between 144 and 169, and the square root function is increasing over it's entire domain, the square root of 155 is estimate according to the following compound inequality:
12 < sqrt(155) < 13.
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A moped travel 25 miles in two hours at this rate how many miles with the moped travel in 1/2 hour
Moped travels a distance of 6.25 miles in 1/2 hours at the given rate.
What is the distance?Distance is a numerical or qualitative measurement of the distance between two objects or points. The distance can refer to a physical length or an estimate based on other criteria in physics or everyday usage (e.g. "two counties over").The moped travels 25 miles in 2 hours.
So, distance traveled in 1 hour: 25/2 = 12.5 milesThen, the distance traveled in 1/2 hours that is 30 minutes: 12.5/2 = 6.25 milesTherefore, a Moped travels a distance of 6.25 miles in 1/2 hours at the given rate.
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Please please look at the picture and help me with this
Step-by-step explanation:
ur right because y is pumpkin 3 is the slope and x is the apple
Use properties of exponents to write an equivalent expression. Write the
correct exponent for each box.
The correct exponent is 12 for the equivalent expression [tex]5^{12}[/tex].
Which are the Power Rules?Knowing some of the main power rules.
Multiplication with the same base: you should repeat the base and add the exponents. Division with the same base: you should repeat the base and subtract the exponents. Power. For this rule, you should repeat the base and multiply the exponents. Exponent negative - For this rule, you should write the reciprocal number with the exponent positive. Zero Exponent. When you have an exponent equal to zero, the result must be 1.For solving this question, you should apply the power rule - Multiplication with the same base - in the expression
[tex]5^{10}[/tex]*5*5.
Here you have the same base (5), therefore you should repeat the base 5 and add the given exponents (10 +1 +1=12). Thus, the answer will be [tex]5^{12}[/tex].
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f(4)
Help me with this please
Answer:
if its Derivative it is 0. if it's multiply then it's 4f.
Step-by-step explanation:
if this is not it tell me how you want it done
Pls help this is super confusing
Choose the symbol that makes the statement true
A. =
B. <
C. >
PLEASE HELP THANK YOU :)
Answer:
B
Step-by-step explanation:
[tex]6\%=0.06 \\ \\ 7/100=0.07[/tex]
can somone help me with these fractions will give u brainliest :'(
Answer:
9/5=1/4/5
7/3=2/1/3
12/10=1/1/5
Simplify the expression: 6 + 2(3d² + 4) − d²
5d^2 + 14
Step-by-step explanation:Distribute6 + 2(3d^2+4) -1d^2
Add the numbers14 + 5d^2
Rearrange terms5d^2 + 14
Sol. : 5d^2 + 14
Question 7 of 10
4
If f(x) = 3(x+5) +-, what is f(a+ 2)?
Answer:
There you go!
Step-by-step explanation:
find the cost of 200 shares of stock that sell for 11.3 per share
Find an expression for the perimeter of the figure.
Answer:
10z+20
Step-by-step explanation:
The perimeter is the sum of all the side lengths. Starting at the top left corner and going clockwise:
2z+z+5+10+5+z+2z+4z
Combine like terms
2z+z+z+2z+4z+5+5+10
10z+20
Answer:
16z+10
Step-by-step explanation:
The explanation is in the attached file below
Point V is on line segment \overline{UW}
UW
. Given UV=3UV=3 and VW=6,VW=6, determine the length \overline{UW}.
UW
.
Since the point V is located on line segment UW, the length of the line segment UW is 9 units
How to determine the length of the line segment UW?From the question, we have the following parameters:
Point V is located on line segment UW
And the lengths are
UV= 3 units
VW = 6 units
Because the point V is located on line segment UW, then we have
UW = UV + VW
This gives
UW = 3 + 6
Evaluate the sum
UW = 9
Hence, the length of the line segment UW is 9 units
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If the price-demand equation for milk is q = 4,800 600p, find the price that will pro-
duce revenues of
(A) $9,300 (B) $10,500
Answer:
Probably A!
Step-by-step explanation:
Solve please it is for homework
Step-by-step explanation:
a) 4
b) 4
c) 4
d) DNE
why is that ? as there is a hollow dot in the curve exactly at x = -3, there is no defined functional value for x = -3.
but it is only this one specific dot that is excluded. so, the lim calculation can still use it for a) - c). although it changes direction there, it is still the same coming from left or from right. and therefore it is the same limit overall.
e) 1
f) -1
g) DNE
h) 1
at x = 0 the function has a jumping discontinuity. therefore, the limits are different when coming from left or from right. and because of this difference, the general limit does not exist. the functional value at x = 0 is part of the curve coming from the left.
i) 2
j) DNE
similar to a) - d). the point (but only the single point) at x = 2 is excluded from the function and has no assigned functional value. nevertheless, it can still be used for the limit calculation.
k) it is not very well to see in the picture. when coming from the right, it appears to be 3.
but it might be possible that it goes further down to 2.
l) similar to k) it is not good to see in the picture. when coming from the left, is the wild "swinging" ending at 2 ? or going back up to 3 to meet the functional curve of k) ?
I would suspect it is 3, but it could be 2.
you need to decide k) and l) when you look at your original, because the picture is too fuzzy to be sure.
Please Hurry !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The prepositional phrases that are in the sentences include:
In his hands.
To cheer
To the pinata.
With candy.
What is a preposition?To indicate direction, time, place, location, spatial relationships, or to introduce an object, a preposition is a word or set of words used before a noun, pronoun, or noun phrase. Prepositions include phrases like "in," "at," "on," "of," and "to."
Prepositions, their objects, and any words used to modify the objects make up a prepositional phrase. A prepositional phrase usually modifies a verb or a noun.
Therefore, the prepositional phrases that are in the sentences include:
In his hands.
To cheer
To the pinata.
With candy.
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The price of a coat is reduced by 15% in a sale.
If the table originally cost £80, what is it’s sale price
Answer:
68
Step-by-step explanation:
The formula for this equation is %/100 x original cost. The equation then is 15/100 x 80. Cut the zero from the 80 and 100 making the equation 15/10 x 8. divide the 15/10 which is 1.5. The final equation is 1.5 x 8 which is 12. This isnt the answer this is the price reduction which means u also have to do 80 - 12 which means the final answer is 68
7th grade!!!!
Pls show work ty :]
Will give brainliest ty!!!
5.625
I can't really show my work bc since I'm in high school we don't solve division problems on paper we use a calculator so I forgot how to do it normally
What is the total distance that two people travel in 3 h if one of them is riding a bike at 17 mi/h and the other is walking at 2 mi/h?
Answer:
the one riding a bike went a total distance of 51 miles and the person walking went 6 miles
Step-by-step explanation:
17 x 3 = 51
2 x 3 = 6
Help! I'm confused with this. Hurry!!! I have to turn it tomorrow
Answer:
Do 50.00-36.85 and boom ur answer
Even has 532 blocks.He divides them into 46 boxes. What is the quotent?
Answer:
532/46=11.565217
Step-by-step explanation:
i think its help u
Answer:
11.57 or 11 is the quotient. This depends if hundredths can allowed or not.
Step-by-step explanation:
Even would take the 532 blocks and divide it by 46 thus getting 11.565...
Hopefully this helped! Take a break and have a great day! :D
Find the circumference and area of the figure if each unit on the graph measures 1 centimeter. Round answers to the nearest tenth, if necessary. (5,3) (2,1)
The area and circumference of a circle is 40.8cm² and 22.6 cm respectively.
What is meant by a circle's circumference?
The distance along a circle's perimeter is referred to as its circumference. In other words, the circumference of a circle is equal to the length of a straight line formed by opening up the circle.AB = r = √(5-2)²+(3-1)²
r = √9 + 4
r = √13
r = 3.605
Determine the circumference
C = 2(3.14)(3.605)
C = 22.6394
Hence the circumference of the circle is 22.6 cm
Determine the area
Area = πr²
Area = 3.14 * 3.605 * 3.605
Area = 40.8cm²
Hence the area and circumference of a circle is 40.8cm² and 22.6 cm respectively.
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What porcent of 96 is 36?
Here is a theorem: If A:B with B isn't equal to 0 and C:D with D isn't equal to 0 are equivalent, then they have the same value:A/B = C/D. This is essentially stating that if two ratios are equivalent, then their values are the same (when they have values). Can you provide any counterexamples to the theorem above?
Examples of the given theorem are [tex]\frac{2}{4} \ \& \ \frac{3}{6}[/tex] , [tex]\frac{4}{16} \ \& \ \frac{8}{32}[/tex] and so on .
Equivalent fractions can be defined as fractions that have different numerators and denominators but represent the same value. Two or more fractions are said to be equivalent if they simplify to the same fraction. Equivalent fractions are fractions that have the same value regardless of the numerator and denominator.For example, the equivalent fractions of 1/5 are 5/25, 6/30, and 4/20, which on simplification, result in the same fraction, that is, 1/5.According to the theorem .
if two ratios are equivalent, then their values are the same .
Let one ratio be [tex]\frac{2}{4}[/tex] and other be [tex]\frac{3}{6}[/tex] .
On simplifying and equating these ratios , we get
[tex]\frac{2}{4} =\frac{3}{6} \\\\\frac{1}{2} =\frac{1}{2}[/tex]
As the ration is same hence [tex]\frac{2}{4} \ \& \ \frac{3}{6}[/tex] are equivalent fractions .
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Write the equation of the line that passes through the points (-3,-1) and (5, -1).
Put your answer in fully simplified point-slope form, unless it is a vertical or
horizontal line. i need help
Answer:
y = -1
Step-by-step explanation:
Since the y-coordinates are the same, the equation is y=-1.
Is 0.375 rational or irrational
0.375 is a rational numbers.
What are rational numbers?A rational number is any number that can be expressed as a fraction, where both the numerator (the top number) and the denominator (the bottom number) are integers, where the denominator of the fraction is not equal to zero.
0.375 can be written as a fraction.
0.375 = 375/1000
Therefore 0.375 is a rational number.
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After it snows it takes Maria and her little sister Anita 1/2 of an hour to shovel the snow off of the sidewalks on their street. This is 2/3 of the time it takes Maria to do the same job by herself. How long does it take Maria to do this job by herself?
The time taken for Maria to do the job by herself is 3/4 of a hour which is 45 minutes.
How to compute the fraction?It should be noted that it was stated that Maria and her little sister Anita used 1/2 of an hour to shovel the snow off of the sidewalks on their street and that this is 2/3 of the time it takes Maria to do the same job by herself.
Therefore, the time taken for Maria to do the job will be represented by x
Therefore, 2/3x = 1/2
Divide
x = 1/2 ÷ 2/3
x = 1/2 × 3/2
x = 3/4
Therefore, the time taken for Maria to do the job by herself is 3/4 of a hour which is 45 minutes.
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