B={x|x is an integer and -4
Answers
The resultant answer in roster form is B = {-3, -2, -1, 0, 1, 2, 3, 4, 5}.
What is roster form?In the set-builder form, a short, statement, or formula is written inside a pair of curly braces, as opposed to the roster form, where the listed items are enclosed in a pair of curly braces and separated by commas.
Roster or tabular form: In roster form, all of the components of a set are listed, with commas used to divide them and braces used to enclose them.
For instance, Z = the set of all integers = {…,−3,−2,−1,0,1,2,3,…}.
So, we have:
B = {x:x is an integer and -4 < x < 6}
B has numbers from -4 and 6.
Now, write B in roster form as:
B = {-3, -2, -1, 0, 1, 2, 3, 4, 5}
Therefore, the resultant answer in roster form is B = {-3, -2, -1, 0, 1, 2, 3, 4, 5}.
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Complete question:
Write the following sets in roster form:
B = {x:x is an integer and -4 < x < 6}
Related Questions
help pls with question
Answers
Answer:
Step-by-step explanation:
It is a right triangle. The hypotenuse is 6+9=15.
Pythagorean Theorem: 9² + ?² = 15²
?² = 15² - 9² = 225 - 81 = 144
? = √144 = 12
A car traveled 281 miles in 4 hours 41 minutes. What was the average speed of the car in miles per hour?
Answers
Answer:
= 60 miles / hour
Step-by-step explanation:
We first convert the time of 4 hours 41 minutes in minutes
4 hours 41 minutes = 4 × 60 + 41 = 281 minutes
Average speed S is given by distance / time. Hence
S = 281 miles / 281 minutes = 1 mile / minute
= 60 miles / hour
Total distance=281mi
Total time=4.7h
\(\\ \tt\hookrightarrow Avg\:Speed=\dfrac{Total\: distance}{Total\:time}\)
\(\\ \tt\hookrightarrow Avg\:Speed=\dfrac{281}{4.7}\)
\(\\ \tt\hookrightarrow Avg\:Speed=59.78mph\)
Hey can some one please explain to me why this is wrong
Answers
Answer:
30.6
Step-by-step explanation:
Your answer is correct to three decimal places not three significant figures.
Three decimal places: Three numbers after the decimal
Three significant figures: first 3 digits (NB: if the number starts with zero, you only include the numbers after zero, E.g: 0.043262 to three significant figures would be 0.0433 because the zeros don't count. However, if the zero is at the end or in between non zero numbers, it is included. E.g: 1.201 to three significant figures would be 1.20).
What number is one-third of 40% of 90?
Answers
40 percent of 90 is 36
1/3 of 36 is 12
2. Harry puts $5 in his piggy bank every
week. What type of slope does this
scenario describe? Explain.
Answers
Answer:
linear
Step-by-step explanation:
Answer:
Linear slope of 5/1
Step-by-step explanation:
The rate is constant.
Hope that helps
The number of people in a town of 10,000 who have heard a rumor started by a small group of 10,000 people is given by the following function: N(t)= 10000/5 + 1245e^-0.97(t)
Part I: On Day #0 (t = 0), how many people knew the rumor?
Answers
Answer:
N(0)=10000/(5+1245)
Step-by-step explanation:
substitute zero in for t. Anything to the zero power equals 1.
Answer:
8 people
Step-by-step explanation:
N(0)=10000/(5+1245e^-0.97(0))
N(0) = 10000/(5+1245e^0)
e^0 = 1
= 10000/5+1245(1)
= 10000/5+1245
= 10000/1250
= 8
substitute zero in for t. Anything to the zero power equals 1.
John has grades of 87 and 93 on his first two history tests. What must he score on his third test so that his average is at least 89?
Answers
Answer:90
Step-by-step explanation: to
because then its 3 points away for both sides hope this helps
Alan has 229 songs on a playlist. He's categorized them in the following manner: 11 rock, 21 Latin American, 46 gospel, 30 country, 39 rap, 25 classical, and 57 pop. If Alan begins listening to his playlist on shuffle, what is the probability that the first song played is a rock song?
Answers
The probability of the event that the first song played by Alan is a rock song is 0.01.
What is probabilityThe probability of an event occurring is the ratio of the number of required outcome divided by the total number of possible outcomes. But the probability of an event say event "a" not occurring is 1 - a.
We shall calculate for the probability of the event that Alan's first song to be played is a rock song as follows:
probability of playing a rock song = 11/229
probability of not playing a Latin American song = 208/229
probability of not playing a gospel song = 183/229
probability of not playing a country song = 199/229
probability of not playing a rap song = 190/229
probability of not playing a classical song = 204/229
probability of not playing a pop song = 172/229
So,
The probability that the first song played is a rock song = (11/229) × (208/229) × (183/229) × (199/229) × (190/229) × (204/229) × (172/229)
The probability that the first song played is a rock song = 0.05 × 0.91 × 0.80 × 0.67 × 0.83 × 0.89 × 0.75
The probability that the first song played is a rock song = 0.01
Therefore the probability of the event that Alan's first song played is calculated to be 0.01 approximated to 2 decimal places.
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In a survey of 259 professional athletes, it was found that 110 of them owned a convertible, 91 of
them owned a giant screen TV, and 120 owned a sporting goods store. 15 owned a convertible and a
store, 43 owned a TV and a store, and 44 owned a covertible and a TV. 9 owned all three items.
1. How many athletes did not own any of the three items?
2. How many owned a covertible and a TV, but not a store?
3. How many athletes owned a convertible or a TV?
4. How many athletes owned exactly one type of item in the survey?
5. How many athletes owned at least one type of item in the survey?
6. How many owned a TV or a store, but not a convertible?
Answers
1. Number of athletes did not own any of the three items = 259 - 228
= 31.
2. Number of athletes own a convertible and a TV but not a store = 44 - 9
= 35.
3. Number of athletes own a convertible or a TV = 110 + 91 - 44
= 157.
4. Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.
5. Number of athletes owned at least one type of item = 259 - 31
= 228
6. Number of athletes own a TV or a store, but not a convertible = 13 + 34 +71
= 118.
The number of athletes did not own any of the three items need to subtract the number of athletes who own at least one item from the total number of athletes surveyed.
Total number of athletes surveyed = 259
Number of athletes own at least one item = 110 + 91 + 120 - 15 - 43 - 44 + 9 = 228
Number of athletes who did not own any of the three items = 259 - 228 = 31.
The number of athletes who owned a convertible and a TV but not a store need to subtract the number of athletes who own all three items from the number of athletes who own a convertible and a TV.
Number of athletes who own a convertible and a TV = 44
Number of athletes who own all three items = 9
Number of athletes who own a convertible and a TV but not a store = 44 - 9 = 35
The number of athletes who owned a convertible, or a TV need to add the number of athletes who own a convertible to the number of athletes who own a TV and then subtract the number of athletes own both a convertible and a TV.
Number of athletes who own a convertible or a TV = 110 + 91 - 44
= 157.
The number of athletes owned exactly one type of item need to add up the number of athletes who own a convertible only the number of athletes own a TV only and the number of athletes who own a store only.
Number of athletes own a convertible only = 110 - 15 - 9 = 86
Number of athletes own a TV only = 91 - 44 - 9 = 38
Number of athletes own a store only = 120 - 15 - 43 - 9 = 53
Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.
The number of athletes who owned at least one type of item can use the result from part (1).
Number of athletes who owned at least one type of item = 259 - 31
= 228
The number of athletes who owned a TV or a store but not a convertible need to subtract the number of athletes who own all three items, and the number of athletes own a convertible and a TV from the number of athletes own a TV or a store.
Number of athletes own a TV or a store = 91 + 120 - 43 - 9 = 159
Number of athletes own a TV or a store not a convertible = 13 + 34 +71
= 118.
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Find the volume of the following figure
Answers
so it would be 6 x 4 x 2 so the answer is 48
please help me i’ll give you brainlist!
Answers
X intercept: 10/5
Y intercept: 0
How to find intercept of a linear equation?To find the intercepts of a linear equation, you need to set either the X or Y variable to 0 and then solve for the other variable.
For example, if you have the equation 5x - 2y = 10, you can set X equal to 0 and solve for Y to find the Y intercept, or you can set Y equal to 0 and solve for X to find the X intercept.
X Intercept:
To find the X intercept, set Y equal to 0 and solve for X.
5x - 2(0) = 10
5x = 10
x = 10/5
X intercept = 10/5
Y Intercept:
To find the Y intercept, set X equal to 0 and solve for Y.
5(0) - 2y = 10
-2y = 10
y = -10/2
Y intercept = 0
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Find: AABCD in square unit.
Answers
Answer:
in triangle ACD
<D =<B=90° inscribed angle from the diameter is 90°
base AC=2×OA=2×15=30unit
perpendicular =CD=12unit
area of triangle ACD
=1/2 base×perpendicular=1/2×30×12=180unit²
In triangle ABC
base=AC=30 unit
perpendicular=BC=18unit
area of traingle ABC =
1/2 base×perpendicular=1/2×30×18=270unit²
Area of quadrilateral =area of traingle [ABC+ACD]
=180+270=450 square unit ans..
a fair die is rolled 100 times.the results are shown below
number:. 1. 2. 3. 4. 5. 6
no of times:. 12. 16. 25. 18. 15. 14
what is the probability of getting
1?
2?
3?
4?
5?
6?
Answers
1.) Probability of getting 1: 0.12 or 12%.
2.) Probability of getting 2: 0.16 or 16%.
3.) Probability of getting 3: 0.25 or 25%.
4.) Probability of getting 4: 0.18 or 18%.
5.) Probability of getting 5: 0.15 or 15%.
6.) Probability of getting 6: 0.14 or 14%.
To calculate the probability of getting a specific number on a fair die, we divide the number of times that number appears by the total number of rolls. In this case, the die was rolled 100 times, and the results are given as follows:
Number: 1 2 3 4 5 6
Times: 12 16 25 18 15 14
To find the probability of getting each number, we divide the corresponding number of times by the total number of rolls (100):
Probability of getting 1 = 12 / 100 = 0.12.
Probability of getting 2 = 16 / 100 = 0.16.
Probability of getting 3 = 25 / 100 = 0.25.
Probability of getting 4 = 18 / 100 = 0.18.
Probability of getting 5 = 15 / 100 = 0.15.
Probability of getting 6 = 14 / 100 = 0.14.
Therefore, the probabilities of getting each number on a fair die, based on the given results of 100 rolls, are approximately:
1: 0.12 or 12%,
2: 0.16 or 16%,
3: 0.25 or 25%,
4: 0.18 or 18%,
5: 0.15 or 15%,
6: 0.14 or 14%.
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A bad contains two red marbles, six blue marbles and seven green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest thousandth, the both marbles drawn will be red
Answers
Answer:
1/105
Step-by-step explanation:
Total Marbles= 2+6+7=15
2/15 * 1/14 = 2/210 = 1/105
(It becomes 1/14 since you take out own red marble)
For a géometric sequence, if a1=9 and a5
=2304, what is the value of r?
Answers
The value of common ration r is 4.
Given that,
a₁ = 9
a₅ = 2304
We know that,
A geometric sequence is a sequence in which each term (except from the first term) is multiplied by a fixed amount to obtain the following term.
The following term in the geometric sequence must be obtained by multiplying it by a set term (referred to as the common ratio), and the previous term in the sequence can be obtained by dividing it by the same common ratio.
Since we know that nth term of GP is,
\(a_{n}\) = a₁ \(r^{n-1}\)
Therefore,
a₅ = a₁ \(r^{4}\) = 2304
⇒ 9 x \(r^{4}\) = 2304
⇒ \(r^{4}\) = 256
⇒ r = 4
Hence, r = 4
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Suppose that y varies directly with x, and y = 25 when x = -5.
A) Write a direct variation equation that relates x and y
B) Find y when x = 3
Answers
Step-by-step explanation:
y=kx
25= k(-5)
k= -5
y= -5x
y = -5 ×3 = -15
Write in mathematical notation of limit for 'a' approaches to 10
Answers
Answer:
\(\lim_{a\to 10} f(x)\)
Step-by-step explanation:
The following is the standard limit notation.
\(\lim_{x \to number} function\)
where x is the independent variable that the function is dependent on. The function is generally notated by f(x).
For 'a' approaching 10, we can substitute 'a' in for 'x' and 10 in for the number that we are approaching.
Therefore we end up with the following:
\(\lim_{a\to 10} f(x)\)
find the inverse of each equation
Answers
The inverse of the equation is determined as \(y = \log_{6}(-3x)\).
option D is the correct answer.
What is the inverse of the equation?The inverse of the equation is calculated by applying the following method;
The given equation;
y = - 6ˣ/3
The inverse of the equation is calculated as;
multiply through by 3
\(-3x = 6^y\)
Take the logarithm of both sides of the equation with base -6:
\(\log_{6}(-3x) = y\)
Finally, replace y with x to obtain the inverse equation as follows;
\(y = \log_{6}(-3x)\)
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Write the explicit equation.
-8, -2, 4, 10
Answers
Answer:
a*n = -8 + (n - 1)6
Step-by-step explanation:
Explicit formula:
a*n = a*1 + (n - 1)d
a*1 = first term
n = nth term or the place
d = difference
Set: -8, -2, 4, 10
-8 ---> -2 = 6 added
Fill it in.
a*1 = -8
n = n
d = 6
Solution:
a^n = -8 + (n -1)6
There are 148 cars in front of a department store. If each car has 4 wheels, estimate the number of wheels in front of the store by rounding the larger number to the nearest ten.
Answers
I think that’s what it is I could be wrong sorry If I am
1. Fill in the missing Statement/Reason for the following proof:
Given: LN bisects ZMLO and LM = LO
Prove: ALMN = ALON
M
STATEMENT
1.
2.
3.
4. LN = LN
5.
ALMN a ALON
REASON
N
1.
2.
3. def of Angle Bisector
4.
5.
| I
Answers
The completed proof that demonstrates that: ΔLMN ≅ ΔLON is:
LN Bisects ∠MLO; and LM ≅ LO [Given]∠MNL ≈ ∠ONL = 90° [Definition of Angle Bisector]LN ≅ LN [Definition of Reflexive Property]; ThusΔLMN ≅ ΔLON [AAS Postulate]What is the Angle-Angle-Side Postulate (AAS)?The Angle-Angle-Side Postulate (AAS) is a rule used in geometry to prove that two triangles are congruent. It states that if two angles and the side between them in one triangle are congruent to two angles and the side between them in another triangle, then the two triangles are congruent.
The reflexive property of equality in algebra asserts that a number is always equal to itself. Equality has a reflexive attribute. If x positive integer, then x = x.
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Find the slope of the line that passes through the points (3, 2) and (-2,-2).
0-4
05
4
5
Answers
Answer:
4/5
Step-by-step explanation:
A rectangular prism measures 3 ft by 6 ft by 5 ft. If the dimensions of the box were all quadrupled, how would the surface area of the box change?
1.The new surface area would be 16 times the original surface area.
2.The new surface area would be quadruple the original surface area.
3.The surface area would not change.
4.The new surface area would be 12 times the original surface area.
Answers
To determine how the surface area of a rectangular prism changes when all dimensions are quadrupled, we need to compare the original surface area to the new surface area.
The original surface area of the rectangular prism is given by:
SA_original = 2lw + 2lh + 2wh
where l, w, and h represent the length, width, and height of the prism, respectively.
In this case, the dimensions of the original box are:
Length (l) = 3 ft
Width (w) = 6 ft
Height (h) = 5 ft
Substituting these values into the formula, we have:
SA_original = 2(3)(6) + 2(3)(5) + 2(6)(5)
= 36 + 30 + 60
= 126 square feet
Now, if we quadruple all the dimensions of the box, the new dimensions would be:
Length (l_new) = 4(3) = 12 ft
Width (w_new) = 4(6) = 24 ft
Height (h_new) = 4(5) = 20 ft
The new surface area of the enlarged box is given by:
SA_new = 2(l_new)(w_new) + 2(l_new)(h_new) + 2(w_new)(h_new)
= 2(12)(24) + 2(12)(20) + 2(24)(20)
= 576 + 480 + 960
= 2016 square feet
Comparing the original surface area (SA_original = 126 sq ft) to the new surface area (SA_new = 2016 sq ft), we can see that SA_new is 16 times greater than SA_original.
Therefore, the correct answer is:
1. The new surface area would be 16 times the original surface area.
Charlie buys a new Bey Blade for $11.38. He gives the cashier $15.00. How much change will he get back? Select TWO ways he will get change.
Answers
Answer:
2 & 4
Step-by-step explanation: :)
ASAP PLZ I WILL GIVE BRAINLIEST!!!!!!!!!
Answers
Answer:
B
Step-by-step explanation:
I think the answer is B because the expression shows 3 times x (Representing the number), and the diagram shows 3 xs. I was very confused about the first diagram but I still think it's B. Sorry if I'm wrong.
Isabel went to the grocery store. She spent $15.91 on vegetables and $11.22 on fruit. She also bought some bread. If she paid with 3 ten dollar bills and got 45 cents back in change, how much did she spend on bread?
Answers
Based on an equation, the amount that Isabel spent on bread was $2.42.
How the equation was solved?To solve the equation for the amount spent on bread, we determined the total amount Isabel spent by subtracting the change from the total bills she had.
An equation is a mathematical statement of the equality or equivalence of two or more mathematical expressions.
The amount Isabel spent on vegetables = $15.91
The amount she spent on fruits = $11.22
Let the amount she spent on bread = x
The total amount she went with = $30 (3 x $10)
The change she got after giving the cashier $30 = $0.45
The total amount Isabel spent for vegetables, fruits, and bread = $29.55 ($30.00 - $0.45)
x = $2.42 ($29.55 - $15.91 - $11.22)
Check:
Vegetables = $15.91
Fruits = $11.22
Bread = $2.42
Total expenses = $29.55
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I need help on this..
Answers
Answer:
you divide the big number by the little number
Step-by-step explanation:
During an experiment, the temperature of a substance increased at a constant rate of three degrees Celsius (°C) per hour. Which graph represents this relationship?
Answers
see attachment for the answer to the problem.
A graph which represents this relationship between the temperature of a substance and time is shown in image.
What is a graph?In Mathematics, a graph can be defined as a type of chart that is typically used for the graphical representation of data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate (x-axis) and y-coordinate (y-axis).
In Science, temperature can be defined as a measure of either the degree of hotness or coldness of a physical body (object).
Since, the temperature of a chemical substance increased at a constant rate of three degrees Celsius (3°C) per hour, a graph which represent the relationship that exist between the temperature of a substance and time is shown in the image attached below.
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solve for x. assume that lines which appear tangent are tangent
Answers
Answer:
x = 9
Step-by-step explanation:
given two secants to a circle from an external point , then
the product of the measures of one secant's external part and that entire secant is equal to the product of the measures of the other secant's external part and that entire secant , that is
x(x + 21) = 10(10 + 17) ← distribute parenthesis
x² + 21x = 10 × 27 = 270 ( subtract 270 from both sides )
x² + 21x - 270 = 0 ← in standard form
(x + 30)(x - 9) = 0 ← in factored form
equate each factor to zero and solve for x
x + 30 = 0 ⇒ x = - 30
x - 9 = 0 ⇒ x = 9
however, x > 0 , then x = 9
Expression A: (2k + 8) + (5k + 10)
Expression B: 76 + 18
Are the two expressions equivalent?
A. No, because for k = 3, the value of Expression A is 29 and the value of Expression B is 39.
B. Yes, because for k= 3, the value of Expression A is 75 and the value of Expression B is 75.
C. Yes, because for k= 3, the value of Expression A is 39 and the value of Expression B is 39.
D. No, because for k= 3, the value of Expression A is 39 and the value of Expression B is 75.
Answers
k = 3
Expression A:
\((2k + 8) + (5k + 10) = 2k + 8 + 5k + 10 = 7k + 18 = 7*3 + 18 = 21 + 18 = 39\)
Expression B:
\(76 + 18= 94\)