Answers
The intervals in which the function is decreasing are:
{(-∞, -3), (1, 4)}
In which intervals is the function decreasing?A function is decreasing if, when reading the graph from left to right, the graph goes downwards.
Here we can see that the graph is decreasing in the intervals:
(-∞, -3) (leftmost part)
And in the interval:
(1, 4)
In all the other intervals the function is increasing.
Then the answer is:
Intervals: {(-∞, -3), (1, 4)}
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Related Questions
there are 12 books in which 4 are English novels.if 3 book are stolen ,then find probability that all 3 stolen books are not English novels.
Answers
The probability that all 3 stolen books are not English novels is 0.6667
Given data ,
If there are 12 books in total, and 4 are English novels, then 8 are not English novels.
When 3 books are stolen, there are 9 books left, out of which 8 are not English novels.
The probability that the first stolen book is not an English novel is 8/9.
The probability that the second stolen book is also not an English novel is 7/8 (since there are now only 8 books left).
The probability that the third stolen book is also not an English novel is 6/7 (since there are now only 7 books left).
So the probability that all 3 stolen books are not English novels is:
(8/9) * (7/8) * (6/7) = 0.6667
Hence , the probability is 0.667
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Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52
Answers
1) Find each set is (All Real Numbers) is the universal set.
{x ∈ (All Real Numbers) : -1≤x≤4}^c
In the format of : {x∈_(N, Q, R, W, or Z)__; _____(Equation)____
2) Find each set if R is the universal set.
{x ∈ (All Real Numbers) : x² ≥ 0 }^c
3)
A woman has seven blouses, five skirts, and twenty-one pairs of shoes in her closet. How many outfits can she create) (Note that an outfit consists of one blouse, one skirt, and one paire of shoes. )
Thank you :)
Answers
Answer:
{x∈R : x<-1 or x>4 }
emptyset
735
Step-by-step explanation:
1) Find the points that are not in the original set.
2) same as above
3) 7 possibilities for blouse times 5 possibilities times 21 possibilites
1. {x ∈ R : x < -1 or x > 4}
2. {x ∈ R : x ∈ ∅}
3. The number of outfits = 735.
What is set?Sets are groups of well-defined objects or components in mathematics. A set is denoted by a capital letter, and the cardinal number of a set is enclosed in a curly bracket to indicate how many members there are in a finite set.
1. The set {x ∈ (All Real Numbers) : -1≤x≤4}^c represents the complement of the set {x ∈ (All Real Numbers) : -1≤x≤4}.
The universal set is (All Real Numbers).
The set {x ∈ (All Real Numbers) : -1≤x≤4} contains all real numbers between -1 and 4, including -1 and 4.
Therefore, the complement of this set {x ∈ (All Real Numbers) : -1≤x≤4}^c contains all real numbers that are not between -1 and 4, or outside the interval (-∞, -1) U (4, ∞).
In set builder notation, this can be written as:
{x ∈ R : x < -1 or x > 4}
2. The set {x ∈ (All Real Numbers) : x² ≥ 0 }^c represents the complement of the set {x ∈ (All Real Numbers) : x² ≥ 0}.
The universal set is R.
The set {x ∈ R : x² ≥ 0} contains all real numbers, since any real number squared is always greater than or equal to 0.
Therefore, the complement of this set {x ∈ R : x² ≥ 0}^c contains no real numbers, since all real numbers satisfy the condition x² ≥ 0.
In set builder notation, this can be written as:
{x ∈ R : x ∈ ∅}
3. To find the number of outfits the woman can create, we need to multiply the number of options for each clothing item together.
The number of outfits = number of blouses × number of skirts × number of pairs of shoes
= 7 × 5 × 21
= 735
Therefore, the woman can create 735 outfits.
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The table represents equivalent ratios. Which statements are true? (pick two please!)
The missing y-value is -4
The missing x-value is 2
The ordered pair (-1,2) is part of the ratio table.
The points will be in quadrants | and |||
Answers
The missing value of y is -4 and the ordered pair (-1,2) is part of the ratio table. thus, Options (A) and (C) are correct.
The fact that analogous ratios have the feature that the ratio of the corresponding words is constant must be used to determine whether claims are true. Let's utilize this property to add the values that are missing:
x y
-1 2
x 4 -> since (-1/2) = (x/4), we can solve for x: x = -2
1 -2
2 y -> since (2/(-2)) = (-1/2), we can solve for y: y = -4
Therefore, the missing x-value is -2, and the missing y-value is -4. Also, the ordered pair (-1,2) is part of the ratio table.
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Here are the numbers of children in 13
elementary school classes.
19, 20, 18, 17, 17, 18, 18, 16, 17, 17, 18, 20, 20, 20
Find the modes of this data set.
If there is more than one mode, write them separated by commas.
If there is no mode, click on "No mode."
Answers
The modes of the given data set are 17, 18, and 20 because they appear most frequently.
The given set of data is as follows:
{19, 20, 18, 17, 17, 18, 18, 16, 17, 17, 18, 20, 20, 20}
A mode can be described as an observation with the highest frequency of occurrence among the values that appear most frequently in the provided data.
As per the question, we can see that the values 17, 18, and 20 appear four times, which is more than any other value.
Therefore, the modes of the given data set are 17, 18, and 20.
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Round 2.6123 to 2 SF
Answers
Step-by-step explanation:
2.6 1 2 3 Look at the THIRD figure ...if it is 5 or greater , then round the SECOND number up by 1....o/w leave it alone to get :
2.6 to two SF
Kiet needs to observe a science experiment every 6 minutes for one hour. He makes his first observation at 1:00 p.m. At what time will he make another observation?
Answers
Kiet will make his another observation at every multiples of 6 until it reaches at 60 which is at 2 : 00 pm.
Given that,
Kiet needs to observe a science experiment every 6 minutes for one hour.
He makes his first observation at 1:00 p.m.
Now he needs to make the observation every 6 minutes.
This means that his second observation will be at 1:06 pm.
Third observation will be at 1:12 pm.
Fourth will be at 1:18 pm.
It goes on like this for every multiples of 6.
His last observation will be at 2:00 pm which is at the 60th minute after 1.
Hence Kiet will make his observations at every multiples of 6 until it reaches 60.
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Given f(x)= what is the
value of f(12)?
Answers
The value of f(12) for the function f(x) = (x - 4)/16 is 0.5.
Here we have been given the function
f(x) = (x - 4)/16
This function models the expression (x - 4)/16. This implies that we will get a different value of f(x) for every different value of x.
Now here we have been given to find the value of f(12). This implies that we need to find the value of f(x) = (x - 4)/16 when the value of x is 12.
Hence, to find f(12) we need to replace x with 1 in the function. This will give us
(12 - 4)/16
= 8/16
= 0.5
Therefore, f(12) is 0.5
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What number comed next 10 9 8 7 6 5 4 3 2
Answers
Given the relation {(−3,−1),(x,0),(5,4),(6,13)} , which value for x would make the relation NOT a function?
Answers
At the north end mall, the food court in the court hallways are parallel, in the west hall in east hall are perpendicular. The angle made between the east hall in mid court hallways is 45°. What is the measure of angle X 
Answers
The measure of angle X in the figure is 135 degrees
What is the measure of angle XFrom the question, we have the following parameters that can be used in our computation:
Court hallways are parallel, in the west hall In east hall are perpendicular.Using the above as a guide, we have the following:
x = 90 + angle made between the east hall in mid court hallways
So, we have
x = 90 + 45
Evaluate
x = 135
Hence, the angle is 135 degrees
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The United States Senate Committee on Commerce, Science, and Transportation consists of 23 members, 12 Republicans and 11 Democrats. The Surface Transportation and Merchant Marine Subcommittee consists of 8 Republicans and 7 Democrats. How many ways can members of the Subcommittee be chosen from the Committee?
Answers
The number of ways members of the Subcommittee can be chosen from the Committee is 12,077,462,720.
What is number?Number is a mathematical object used to count, measure, and label. It is a concept used in math, science, and everyday life. Number has been around since the dawn of time and is an integral part of the universe. Numbers can be used to identify objects, measure quantities, and understand relationships between things. They are also used to represent abstract concepts, such as money, time, and space. Numbers can be used to solve problems and make decisions.
The number of ways members of the Subcommittee can be chosen from the Committee is equal to the number of combinations of 8 Republicans and 7 Democrats out of the total 23 members. This can be calculated using the combination formula, which is:
C(23, 8) x C(15, 7) = 12,077,462,720
The combination formula is defined as C(n,r) = n!/(r!(n-r)!), where n is the total number of members in the Committee (23) and r is the number of Republicans and Democrats from the Subcommittee (8 and 7, respectively). In this case, the n! term is equal to 23!, which is 8,314,814,080, and the r! term is equal to 8! x 7!, which is 40,320. Therefore, 12,077,462,720 is the total number of ways members of the Subcommittee can be chosen from the Committee.
This number can also be interpreted as the number of possible permutations of the 8 Republicans and 7 Democrats within the Subcommittee. This means that there are 12,077,462,720 ways to assign the 8 Republicans and 7 Democrats to the Subcommittee, without changing the number of Republicans and Democrats in the Subcommittee.
In conclusion, the number of ways members of the Subcommittee can be chosen from the Committee is 12,077,462,720. This number can be calculated using the combination formula, and it represents the number of possible permutations of the 8 Republicans and 7 Democrats within the Subcommittee.
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what is 85 divided by 15
Answers
Answer:
Step-by-step explanation:
5.666666666667
Answer:
5.66 repeating
or
17/3
Step-by-step explanation:
85/5 = 17
15/5 = 3
Please lmk if you need me to explain!
Have a great day!!
The function f(t) is given by the graph.
What is the domain of f(t)?
What is its range?
Answers
The domain is the set of input or x-values.
The domain of the given function includes all values between - 4 and 4, both inclusive:
t ∈ [-4, 4]The range is the set of output or y-values.
The range of the given function f(t) includes all values between - 1 and 2, both inclusive:
f(t) ∈ [- 1, 2]A random sample of n=1200
�
=
1200
registered voters and found that 620 would vote for the Republican candidate in a state senate race. Let p
�
represent the proportion of registered voters who would vote for the Republican candidate.
Consider testing
H0:p=.50
�
0
:
�
=
.50
Ha:p>.50
�
�
:
�
>
.50
(a) The test statistic is z
�
=
(b) Regardless of what you acutally computed, suppose your answer to part (a) was z = 1.28. Using this z,
p-value =
Answers
The critical t value for a confidence level of 80% with a sample size of 11 is 1.833.
What is value?
Value in math is the numerical representation of a concept or quantity. It can be used to measure, compare, or describe a range of concepts, including distance, speed, time, money, and more. Value is an essential part of mathematics, as it allows for the comparison of different numbers and is used in equations and formulas to solve problems. Value is also used to represent specific ideas, such as the value of pi or the value of "infinity".
The critical t value represents the boundary between the middle two categories of a t-distribution with a confidence level of 80%. To calculate this value, we must first calculate the degrees of freedom (DF) which is equal to the sample size minus 1. In this case, the DF is 10.
Next, we must use a t-table to find the t value. Using the chart, we can see that for a confidence level of 80%, the t value is 1.833. This means that any value of t that is higher than 1.833 will fall within the highest category of the t-distribution and is considered statistically significant. Therefore, the critical t value for a confidence level of 80% with a sample size of 11 is 1.833.
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What lump sum should be deposited in an account that will earn 9% compounded every 2 months, to grow to $100,000 in 32 years? Show your step process, when you are solving the problem.
Answers
Answer:
We should deposit approximately $14,408.92 in the account to grow to $100,000 in 32 years, assuming a 9% annual interest rate compounded every 2 months.
Step-by-step explanation:
To solve this problem, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
where:
A = the future value of the investment
P = the initial principal (the lump sum we need to deposit)
r = the annual interest rate (9% in this case)
n = the number of times the interest is compounded per year (since interest is compounded every 2 months, or 6 times per year, n = 6)
t = the number of years (32 years in this case)
We are given that we want the investment to grow to $100,000 in 32 years, so we can set A = $100,000 and solve for P:
$100,000 = P(1 + 0.09/6)^(6*32)
Simplifying the expression inside the parentheses:
$100,000 = P(1.015)^192
Dividing both sides by (1.015)^192:
P = $100,000 / (1.015)^192
Using a calculator:
P ≈ $14,408.92
Therefore, we should deposit approximately $14,408.92 in the account to grow to $100,000 in 32 years, assuming a 9% annual interest rate compounded every 2 months.
You are going to use an incline plane to lift an heavy object to the top of a shelving unit with a height of 8 ft. The base of the incline plane is 9 ft from the shelving unit. What is the length of the incline plane?
Answers
length = square root of (height^2 + base^2)
In this case, the height is 8 ft and the base is 9 ft, so we can substitute those values into the formula:
length = square root of (8^2 + 9^2)
length = square root of (64 + 81)
length = square root of 145
length ≈ 12.04 ft
the length of the incline plane is approximately 12.04 ft.
The table below represents a linear function. A C Which relationship represents a function with the same rate of change as the function represented above?
Answers
Answer: B
Step-by-step explanation:
The y intercept must be 1 from the chart. So when y=mx+b b is your intercept. A and C do not have b=1
D does not hit y-axis at 1
Must be B
Can you help me with this
Answers
Answer:
Step-by-step explanation:
116 because on the graph it said that 116 sophmores were a no
Find the area of the triangle below.
24 cm2
96 cm2
48 cm2
72 cm2
Answers
The area of the triangle in the image is 24 square centimeters.
How to find the area of the triangle?Remember that the area of a triangle of base B and height H is given by:
A = B*H/2
On the diagram, we can see that the base of the triangle is 8cm, and the height is 6cm, then we can replace these two values in the formula above, then we will get:
A = 8cm*6cm/2
A = 8cm*3cm
A = 24cm²
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¿Que es mayor? 50% de 400 o 70% de 200
Answers
70% of 200 is 140.
200 is greater than 140. or 200>140.
200 es mas higher
The volume of this cone is 1,186.92 cubic inches. What is the height of this cone? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answers
The height of the cone is determined as 6.45 inches.
What is the height of the cone?
The height of the cone is calculated by applying the formula for the volume of a cone.
V = ¹/₃ π r²h
where;
r is the radius of the coneh is the height of the conelet the radius of the cone = 5.6 inches
The height of the cone is calculated as follows;
h = ( 3V ) / (π r²)
h = (3 x 1,186.92 ) / (π r²)
h = 6.45 inches
Thus, the height of the cone is determined by using the formula for the volume of a cone.
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Snow is piling on a driveway so its depth is changing at a rate of r(t) = 10sqrt(1 - cos(0.5t)) centimeters per hour, where t is the time in hours, 0 <= t <= 5 At time t = 0 , the depth of the snow is 20 centimeters. Use a graphing calculator and round your answer to three decimal places. What is the snow's depth at time t = 5 hours? centimeters
Answers
Answer:
58.731 cm
Step-by-step explanation:
You want the depth of accumulated snow after 5 hours if it is 20 cm at 0 hours and is increasing depth at the rate r(t) = 10√(1 -cos(0.5t)) cm/hour.
IntegrationThe attached calculator screen shows the result of the integration. The mode is set to RADians. It took this calculator just over 1 minute to provide its result to 13 significant figures.
The snow's depth at t = 5 hours is 58.731 cm.
__
Additional comment
A different graphing calculator provided the same result to 12 significant figures "instantly." That is shown in the second attachment.
When scientific calculators were rare and expensive, their capability for numerical integration was more limited. Generally one had to specify the tolerance the calculator was to use for its result. These calculators both provided the result to full calculator precision.
The exact result is 20+80(√2)sin(5/8)² ≈ 58.731216038167283412... cm.
We're not quite sure the point of an answer precise to 0.001 cm. The diameter of a snowflake may range from 0.050 to 0.500 cm.
appomixe the value in the log
Answers
The approximation of log(12) from log(2) and log(3) is 1.544
Appomixe the value in the logFrom the question, we have the following parameters that can be used in our computation:
log(2) = 0.4307
log(3) = 0.6826
So, we have
log(12) = log(4 * 3)
Applying the law of logarithm, we h\ave
log(12) = log(4 + log(3)
So, we have
log(12) = 2log(2) + log(3)
substitute the known values in the above equation, so, we have the following representation
log(12) = 2 * 0.4307 + 0.6826
Evaluate
log(12) = 1.544
Hence, the approximation is 1.544
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The data below shows the number of hours of sleep that each of the eight
staff members at Eroy's Electronics got on Thanksgiving night.
6
7 8 7
7 8 7 6
Using this data, create a frequency table.
Number of hours of sleep Number of employees
6
7
8
Answers
The frequency table using this data is
Number of hours of sleep Number of employees
6 2
7 4
8 3
Creating a frequency table Using this data,From the question, we have the following parameters that can be used in our computation:
6 7 8 7
7 8 7 6
From the baove data, we have the frequencies to be
Frequency of 6 = 2
Frequency of 7 = 4
Frequency of 8 = 2
So, we have the frequency table to be
Number of hours of sleep Number of employees
6 2
7 4
8 3
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Answer:
2
4
2
Step-by-step explanation:
Michael lives in Geo City. A map of the city is found below. If Michael walks directly from school to the park, how far must he travel? Round your answer to the nearest tenth if necessary.
Answers
Answer:
The school is at (2, 1), and the park is at (-6, 5).
[tex] \sqrt{ {(2 - ( - 6))}^{2} + {(1 - 5)}^{2} } [/tex]
[tex] \sqrt{ {8}^{2} + {( - 4)}^{2} } [/tex]
[tex] \sqrt{64 + 16} = \sqrt{80} = 4 \sqrt{5} [/tex]
4√5 is about 8.9.
What unit of measurement would you use to weigh an elephant? (2 points)
a
Ounce
b
Ton
c
Millimeter
d
Pound
Answers
Find the quotient WITHOUT a calculator .
7.29 divided (-9) = (-0.81)
Show your work how did you get your answer
Answers
Answer: -0.81
Step-by-step explanation:
Long divide 729 by 9.
Since 7.29 has two decimal places and 9 has none the answer will have 2-0 decimal places. Since 7.29 is positive and -9 is negative, the answer will be negative.
Find the area of this triangle.
Answers
Answer:
6[tex]cm^{2}[/tex]
Step-by-step explanation:
0.5bh=0.5*3*4=6
please show the full answer to this question
Answers
Answer:
1/1
Step-by-step explanation:
