Answer: [tex]f(x)=-x[/tex]
Step-by-step explanation:
When f(-x)= -f(x), then it is known as an odd function.
i) [tex]f(x) = x^3 + 5x^2 + x[/tex]
Then, [tex]f(-x)=(-x)^3+5(-x)^2+(-x)=-x^3+5x^2-x\neq -x^3-5x^2-x[/tex]
i.e. [tex]f(-x)\neq-f(x)[/tex]
ii) [tex]f(x)=\sqrt{x}[/tex]
[tex]f(-x)=\sqrt{-x}\neq-\sqrt{x}[/tex]
i.e. [tex]f(-x)\neq-f(x)[/tex]
iii) [tex]f(x)=x^2+x[/tex]
[tex]f(-x)=(-x)^2+(-x)=x^2-x\neq-x^2-x[/tex]
i.e. [tex]f(-x)\neq-f(x)[/tex]
iv) [tex]f(x)=-x[/tex]
[tex]f(-x)=-(-x)=x[/tex]
[tex]-f(x)=-(-x)=x[/tex]
i.e. [tex]f(-x)=-f(x)[/tex]
Hence, f(x) is an odd function.
Answer:
D
Step-by-step explanation:
if you don't want to read
Help me please thank y’all
Answer:
30°
Step-by-step explanation:
60+60+2x=180
120+2x=180
2x=180-120
2x=60
x=30°
What are the odds against choosing a green or red marble from a bag that contains two blue marbles, one green marble, seven white marbles, and four red marbles?
Answer:
5/14
Step-by-step explanation:
you would just add the number of marbles which is 14 and add the green and red marbles which is 5 and your answer is 5/14
Probability helps us to know the chances of an event occurring. The probability of choosing a green or red marble from the bag is 5/14.
What is Probability?Probability helps us to know the chances of an event occurring. It is always the ratio of desired outcomes or the sample that is needed to the total number of outcomes.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Given that the bag that contains two blue marbles, one green marble, seven white marbles, and four red marbles.
Now, the total number of marbles in the bag is 14.
Therefore, the probability of choosing a green or red marble from the bag is,
Probability = (Number of green and red marbles)/(Total number of marbles)
= (1+4)/(2+1+7+4)
= 5/14
Hence, the probability of choosing a green or red marble from the bag is 5/14.
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A particular fruit's weights are normally distributed, with a mean of 733 grams and a standard deviation of 9 grams. The heaviest 5% of fruits weigh more than how many grams?
Answer:
The heaviest 5% of fruits weigh more than 747.81 grams.
Step-by-step explanation:
We are given that a particular fruit's weights are normally distributed, with a mean of 733 grams and a standard deviation of 9 grams.
Let X = weights of the fruits
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean weight = 733 grams
[tex]\sigma[/tex] = standard deviation = 9 grams
Now, we have to find that heaviest 5% of fruits weigh more than how many grams, that means;
P(X > x) = 0.05 {where x is the required weight}
P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{x-733}{9}[/tex] ) = 0.05
P(Z > [tex]\frac{x-733}{9}[/tex] ) = 0.05
In the z table the critical value of z that represents the top 5% of the area is given as 1.645, that means;
[tex]\frac{x-733}{9}=1.645[/tex]
[tex]{x-733}}=1.645\times 9[/tex]
[tex]x = 733 + 14.81[/tex]
x = 747.81 grams
Hence, the heaviest 5% of fruits weigh more than 747.81 grams.
What is the order greatest to least, a b or c?
People were standing on a football field a mile and a half long. It was 12 feet deep in both sides. Estimate the size of the crowd
Answer:
The crowd would cover an area of 100000 square feet of the field.
Step-by-step explanation:
The length of the football field = 1[tex]\frac{1}{2}[/tex] miles
1 mile = 5280 feet
So that, 1[tex]\frac{1}{2}[/tex] miles = 7920 feet
Given that the field was 12 feet deep on both sides implies that the width = 24 feet.
To estimate the size of the crowd,
length of field = 5000 feet
width = 20
Area of the field covered by the crowd = length × width
= 5000 × 20
= 100000
The crowd would cover an area of 100000 square feet.
which of the following sounds like a bisector?
1.A segment is intersected by a line
2.A segment is intersected by another segment
3.A segment is intersected by a line through the segments midpoint
4.A segment is a parallel to another segment
Answer:
3
Step-by-step explanation:
because it's being intersected
hope I helped?
a tree that is 4 feet tall casts a shadow that is 9 feet long find the length of a shadow that is 48 ft tree cast
Answer:
108 ft long
Step-by-step explanation:
they both form similar triangles like shape
therefore
[tex] \frac{4}{9} = \frac{48}{x} [/tex]
[tex]x = \frac{9(48)}{4} [/tex]
[tex]x = 108[/tex]
To mix a particular shade of purple paint, red paint and blue paint are mixed in the ratio 5:3. To make 20 gallons of this shade of purple paint, how many gallons of red and blue paint should be used?
Answer:
quantity of red paint = 12.5 gallons
quantity of blue paint = 7.5 gallons
Step-by-step explanation:
Ratio of red and blue paint : 5:3
in ratio
a:b = ax:bx
let the
quantity of red paint be 5x
quantity of blue paint be 3x
then quantity of purple paint = quantity of red paint + quantity of blue paint
= 8x
given quantity of purple paint is 20 gallons
thus,
8x = 20
x = 20/8 = 2.5
thus,
quantity of red paint = 5x = 5*2.5 = 12.5 gallons
quantity of blue paint = 3x = 3x*2.5 = 7.5 gallons
Answer:
7 and 12.5
Step-by-step explanation:
A jar contains 6 aqua beads and 4 black beads. If two beads are selected at random, what is the probability that both beads will be aqua? Round to the nearest hundredth if needed.
Answer:
0.33
Step-by-step explanation:
We would like to find the probability that both beads are aqua.
There are 6 aqua beads. Let's calculate the number of ways we can select 2 aqua beads from these 6. We use combinations, which is [tex]_6C_2=\frac{6!}{(6-2)!*2!}[/tex], where the n! means n * (n - 1) * (n - 2) * ... * 2 * 1.
The value of the expression is:
[tex]_6C_2=\frac{6!}{(6-2)!*2!}=\frac{720}{24*2} =15[/tex]
So there are 15 ways to choose 2 aqua beads.
Now let's calculate the number of ways we can select any 2 beads. There are 6 + 4 = 10 beads in total, so we do the same thing as before using combinations:
[tex]_{10}C_2=\frac{10!}{(10-2)!*2!} =\frac{3628800}{40320*2} =45[/tex]
Our fraction is thus:
15 / 45 = 1/3 ≈ 0.33
The answer is thus 0.33.
~ an aesthetics lover
Let u,v,wu,v,w be three linearly independent vectors in R7R7. Determine a value of kk, k=k= , so that the set S={u−3v,v−2w,w−ku}S={u−3v,v−2w,w−ku} is linearly dependent.
Answer:
1/6
Step-by-step explanation:
For a set of vectors a, b and c to be linearly dependent, the linear combination of the set of vectors must be zero.
C1a + C2b + C3c = 0
From the question, we are given the set S={u−3v,v−2w,w−ku}, the corresponding vectors are a(0, -3, 1), b(-2,1,0) and c(1,0,-k)
The values in parenthesis are the ccoefficients of w, v and u respectively.
On writing this vector as a linear combination, we will have;
C1(0, -3, 1) + C2(-2,1,0) + C3(1,0,-k) = (0,0,0)
0-2C2+C3 = 0........ 1
-3C1+C2 = 0 ........... 2
C1-kC3 = 0 ….......... 3
From equation 2, 3C1 = C2
Substituting into 1, -2(3C1)+C3 = 0
-6C1+C3 = 0
-6C1 = -C3
6C1 = C3.…..4
Substitute 4 into 3 to have
C1-k(6C1) = 0
C1 = k6C1
6k = 1
k = 1/6
Hence the value of k for the set of vectors to be linearly dependent is 1/6
Based on your knowledge of the hypothetical method, which of the following accurately describe the relationship between evidence and hypotheses?
a. A hypothesis does not direct the search for evidence.
b. A hypothesis can be proven true as long as one of its implications is shown to be true.
c. A hypothesis can be proven false if one of its implications is shown to be false.
d. A hypothesis is derived from the evidence at hand: the evidence produces the hypothesis.
Answer:
d. A hypothesis is derived from the evidence at hand; the evidence produces the hypothesis.
Step-by-step explanation:
Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis. The evidence suggests that a certain hypothesis is tested for its reliability. The hypothesis is accepted or rejected on the basis of its underlying evidences.
Round to 1 decimal place 68.87
Somebody please help me
Answer:
find the area of two triangles and subtract them.
Triangle 1 = 1/2 x 20 x 20 = 200
Triangle 2 = 1/2 x 15 x 10 = 75
Area of shaded region: 200 - 75 = 125
The answer is F. 125
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Andrew is starting his own snow plowing business. Andrew has calculated that he needs to earn
$500 per week to support his family. If he knows he will only be able to work 50 hours per week,
what is the minimum amount of dollars per hour will he need to charge his customers?
Answer:Ten dollars per hour
Step-by-step explanation:
50 hour =500 dollars
1 hour = ?
Using the criss cross method we multiply one hour by five hundred dollars and divide by fifty dollars.
?=(1 hour×500 dollars)/50 hour
?= 500 dollars/50
?=10 dollars per hour
2-7, please help BRAINLEST
Answer:
n=11 is the answer.
Step-by-step explanation:
19+n=30
In order to find the value of n subtracting 19 on both sides
19-19+n=30-19
n=11 is your answer
Hope it will help you :)
Which are characteristics of table salt (NaCl)?
is insoluble in water
is held together by hydrogen bonds
is often supplemented with iodine
is held together by ionic bonds
is a compound
Answer:
The correct option (c) "is held together by ionic bonds".
Step-by-step explanation:
Table salt is NaCl. It is a combination of Sodium and Chlorine.
There is 1 valance electron in sodium. Its electronic configuration is 2,8,1
The electronic configuration of Chlorine is 2,8,7. It means that it needs 1 electron so that its octet gets completed.
Na transfers one electron to Cl. It becomes Na⁺. Cl gains one electron From Na. It becomes Cl⁻.
As a resuslt, Na⁺ and Cl⁻ forms. Both Na and Cl are ions. They held together by ionic bonds.
Recently a sample of 36 pieces of thread showed a mean breaking strength of 8.93 oz. Can one conclude at a significance level of (a) 0.05, (b) 0.01 that the thread has become inferior?
Complete Question
It has been found from experience that the mean breaking strength of a particular brand of thread is 9.72 oz with a standard deviation of 1.4 oz. Recently a sample of 36 pieces of thread showed a mean breaking strength of 8.93 oz. Can one conclude at a significance level of (a) 0.05, (b) 0.01 that the thread has become inferior?
Answer:
At both [tex]\alpha = 0.05[/tex] and [tex]\alpha = 0.01[/tex] the conclusion is that the thread has become inferior
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 9.72 \ oz[/tex]
The standard deviation is [tex]\sigma = 1.40\ oz[/tex]
The sample size is n = 36
The sample mean is [tex]\= x = 8.93 \ oz[/tex]
The null hypothesis is [tex]H_o : \mu = 9.72 \ oz[/tex]
The alternative hypothesis is [tex]H_a : \mu < 9.72 \ oz[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{ \= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }[/tex]
=> [tex]t = \frac{ 8.93 -9.72}{ \frac{ 1.4 }{ \sqrt{36} } }[/tex]
=> [tex]t = -3.33[/tex]
So
The p-value obtained from the z- table is
[tex]p-value = P( Z < -3.39) = 0.00034946[/tex]
So at [tex]\alpha = 0.0 5[/tex]
[tex]p-value < \alpha[/tex]
So we reject the null hypothesis,hence we conclude that the thread has become inferior
So at [tex]\alpha = 0.0 1[/tex]
[tex]p-value < \alpha[/tex]
So we reject the null hypothesis,hence we conclude that the thread has become inferior
Where can we put parentheses in 4•7+2 to make it equivalent to 36?
Answer:
A
Step-by-step explanation:
The simpler way to calculate this question is just to calculate A and B
A - 4 x (7+2) = 4 x 9 = 36
B - (4 x 7) + 2 = 28 + 2 = 30
A = 36
=> Thus, our answer is A
Hope this helps!
Answer:
A. 4 * (7+2)
Step-by-step explanation:
Let's evaluate choice A and B. Solve each expression according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
The option that equals 36 will be the correct choice.
A.
4 * (7+2)
Solve the parentheses first. Add 7 and 2.
4 * (9)
Multiply 4 and 9.
36
B.
(4*7)+2
Solve the parentheses first. Multiply 4 and 7.
(28)+2
Add 28 and 2.
30
When evaluated, choice A equals 36. Therefore, A is correct. When the parentheses are arranged like so: 4 * (7+2) it will be equivalent to 36.
In 2009, the world population was 6.8 billion. The exponential growth rate was 1.13% per year. So the following could be used as a model for the growth of the world's population: P=6.8e ,where P is world population in billions, t represents the number of years past 2009. (2009 would be represented by t = 0.)
a. Estimate the population of the world in 2018 using this model.
b. Using the internet, find an approximation for the world population in 2018. What is the difference between the estimate from the internet and the answer in part (a)?
c. Using algebraic methods and the model given, estimate the year when the world population will be 9 billion.
Answer: 9 million
Step-by-step explanation:
The population of the world in 2018 using this model is 7.5 billion.
What is population growth and population decrease formula?If a constant rate of growth be R% per annum, then population after n years = P(1+R/100)ⁿ.
Given that, P= 6.8 billion and rate of growth =1.13%.
Now, 6.8(1+1.13/100)ⁿ
= 6.8(1+0.0113)ⁿ
= 6.8(1.0113)ⁿ
a. The population of the world in 2018 using this model.
So, time period is n=9
Now, 6.8(1.0113)⁹
= 7.5 billion
b. World population is 2018 was 7.6 billion
The difference between the estimate from the internet and the answer in part (a) is 7.6-7.5
= 0.1 billion
c. Estimate the year when the world population will be 9 billion
9=6.8(1.0113)ⁿ
(1.0113)ⁿ=1.32
n=24.7 years
Therefore, the population of the world in 2018 using this model is 7.5 billion.
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XY=4x, YZ=x, and XY=25
x=
YZ=
Answer:
both answer is 31°
Hope it is helpful for you
Draw and label. Two points, J and K.
Answer:
see attached
Step-by-step explanation:
It usually works to follow instructions. Here are your two points.
Jerry used to have $438.00 in the bank but after a year the amount increased to $534.36. This was an increase of _____%.
Answer:
This was an increase of 22%
Step-by-step explanation:
Given:
Initial/Old amount = $438.00
New amount = $534.36
The percentage increase = [tex] \frac{new amount - old amount}{old amount}*100 [/tex]
% increase = [tex] \frac{534.36 - 438.00}{438.00}*100 [/tex]
[tex] = \frac{96.36}{438.00}*100 = \frac{96.36*100}{438.00} [/tex]
[tex] = \frac{9636}{438.00} = 22 [/tex]
This was an increase of 22%.
Beth is considering two job offers. One has an annual salary of $61.1K and the other has an annual salary of $63.4K. What is the difference in the weekly pay for these two job? (K means $1,000, so $61.1K is $61,100 for example) *
Answer: The difference is approximately $44. Remember that is not an exact amount because the weeks are approximated and the second offer was also approximated.
Step-by-step explanation:
If one has $61,100 and the other has 63,400 annually which means that is the amount they will be offered a year. So first we need to determine how many weeks are in a year.There are approximately 52 weeks in one year so we will divide the salaries by 52 to find how much they each offer in one week.
First Offer: 61,100 / 52 = 1175
Second Offer: 63,400/52= approximately 1219
Now find the difference between the numbers
1219. - 1175 = $44
The difference in weekly pay for these two job will be around $0.04k.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Number of weeks in 1 year = number of weeks in 1 month × 12
Number of weeks in 1 year = 4 × 12 = 48
Annual salary in the first job = $61.1k
So weekly salary of first job =$1.28k
Annual salary in the second job = $63.4k
So weekly salary of second job = $1.32k per week
Difference between weekly pay = 1.32 - 1.28 = 0.04k
Hence "The difference in weekly pay for these two job will be around $0.04k".
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Find the missing length. The triangles are similar.
Answer:
RK= 13 SK= 12
Step-by-step explanation
First, we find the missing length of RK using the given information: 65-52=13
Then we divide 65 by 13 to get a scale factor: 65/13=5
(To check, we multipuly: 13*5=65)
We then apply the scale factor to MK to find SK: 60/5=12
(To check we multipuly: 5*12=60)
We now have our answers: RK:13, SK:12
solve for x 2x/3 +1 =3
Answer:
x=3
Step-by-step explanation:
Hello,
The first thing you do is set up your equation, and we are solving for x so we are going to get x by itself on one side of the = sign.
2x/3+1=3 First thing: subtract 1 from BOTH sides.
-1 -1
----------------------
2x/3=2 Multipliy by 3 on both sides
*3 *3
-----------------------
2x=6 Divide by 2 on both sides
/2 /2
-----------------------
x=3
I hope this helped you!!!
A square pyramid has a height of 12 units and a volume of 256 units3. If a square prism has the same the base area and volume as the square pyramid, what is its height?
Answer:
4 units
Step-by-step explanation:
The volume of a square pyramid is (a²)*h/3
256=a²*12/3
256=a²*4
256/4=a²
64=a²
a=8
Now we know that the square is 8 by 8.
The volume of a square prism is a²h
256=64h
256/64=h
h=4
Also, a square pyramid is 1/3 the volume of a square prism.
12÷3=4
Answer:
the answer is C 4 units
Step-by-step explanation:
Find the equation of the line in slope intercept form that has a slope of -2 and passes through the point (6,3). Demonstrate that your answer is correct (y=-2x+15)
Answer:
y=-2x+15
Step-by-step explanation:
First, write out the equation in slope-intercept form, with what you already have:
[tex]y=-2x+b[/tex]
Let "b" represent the y-intercept.
To find the y-intercept, substitute the point (6,3) in for the "x" and "y" variable of the equation and solve for "b":
[tex]3=-2(6)+b\\3=-12+b\\3+12=-12+12+b\\15=b[/tex]
Therefore, your y-intercept is 15.
That means your equation is slope-intercept form is y=-2x+15.
Okay, last question! thank you for helping btw! B is the midpoint of AC if AB =3x-2 and BC= 6x-5 Find AC.
Answer:
9x-7
Step-by-step explanation:
AB =3x-2
BC= 6x-5
AC=AB+AC
AC=(3X-2)+(6X-5)
AC=3X-2+6X-5
AC=3X+6X-2-5
AC=9X-7
please help me with this asap i’ll mark you as brainliest :)and btw it’s more than one answer
Answer:
1,3,4,6 answer
Step-by-step explanation:
A cement walk 3 ft wide is placed around the outside of a circular pond with radius 17 ft. What is the total cost of the walk if the cost per square foot is $1.66 ? A. $582.73 B. $581.15 C. $579.90 D. $583.38 E. $578.87
Answer:
$578.87
Step-by-step explanation:
Find the area made by the circle made by the 3 ft. walk:
Radius = 17 + 3 = 20
Area = 22/7 x 20 x20 = 1257.14
Find the area made by the pond:
Area = 22/7 x 17 x 17 = 908.29
Subtract area 2 from area 1:
1257.14 - 908.29 = 348.85
Muliply this area by the cost er squar foot:
348.85 x $1.66 = 579.09
It depends on the value of pi used