-f(a) Think of this as “the opposite of f(a).”
-f(a)=
F) does f(3)=f(-3)? (Yes or No)
D) does f(a) = f(-a)? ( Yes or No)
Answers
Answer:
F) yes
D)no
no
bfhdfthjfyktyrztjkgtwfhdhdgdrdrdth
Related Questions
vw^{2}+y=x (solve for w)
Answers
Answer:
w=\(\sqrt{\frac{x-y}{v}\)
Step-by-step explanation:
A farmer is creating a rectangular garden such that the length is four times the width. The
area of the garden is 2077 square feet. Write and solve an equation to determine the width
of the garden, to the nearest tenth of a foot.
Answers
Answer:
Width of the garden = 22.8 foot
Step-by-step explanation:
Area of the rectangular garden = 2077 square feet.
Let
Width of the garden = x
Length of the garden = 4x
Area of a rectangular garden = length × width
2077 = 4x * x
2077 = 4x²
x² = 2077/4
x² = 519.25
find the square root of both sides
x = √519.25
x = 22.787057730211
To the nearest tenth of a foot.
x = 22.8 foot
Width of the garden = 22.8 foot
Use neat handwriting.
Use the Laplace transform to solve the given system of differential equations. dx = -x + y dt dy = 2x dt x(0) = 0, y(0) = 8 x(t) X y(t) =
Answers
The solution to the given system of differential equations using Laplace transform is:
x(t) = 2cos(t)
y(t) = 8sin(t) + 2cos(t)
To solve the given system of differential equations using Laplace transform, we first take the Laplace transform of both equations:
L[dx/dt] = L[-x + y]
sX(s) - x(0) = -X(s) + Y(s)
L[dy/dt] = L[2x]
sY(s) - y(0) = 2X(s)
Substituting x(0) = 0 and y(0) = 8, we get:
sX(s) = -X(s) + Y(s)
sY(s) - 8 = 2X(s)
Solving for X(s) and Y(s), we get:
X(s) = (2s)/(s^2 + 1)
Y(s) = (s^2 + 2s + 8)/(s^2 + 1)
Taking the inverse Laplace transform of X(s) and Y(s), we get:
x(t) = 2cos(t)
y(t) = 8sin(t) + 2cos(t)
Therefore, the solution to the given system of differential equations using Laplace transform is:
x(t) = 2cos(t)
y(t) = 8sin(t) + 2cos(t)
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In triangle ABC, if c = 46, b = 47....
Answers
1) In this question, the best way to tackle it is to sketch out that triangle:
2) Let's use The Law of Sines and then perform some algebraic manipulation:
\(\begin{gathered} \frac{b}{\sin(B)}=\frac{c}{\sin(C)} \\ \frac{47}{\sin(112)}=\frac{46}{\sin (C)} \end{gathered}\)So let's cross multiply then:
\(\begin{gathered} \frac{47}{\sin(112)}=\frac{46}{\sin(C)} \\ 47\cdot\sin (C)=46\cdot\sin (112) \\ \frac{47\cdot\sin (C)}{47}=\frac{46\cdot\sin (112)}{47} \\ \sin (C)=\frac{46\cdot\sin(112)}{47} \end{gathered}\)And that's the answer.
Help please due asappp
Suppose that the functions f and g are defined as follows
Answers
x and x⁴-16x²+56 are the resulting composite functions respectively.
Solving composite functionsGiven the following functions below
f(x) = 7/x
g(x) = x² - 8
We need to determine the composite functions (fof)(x) and (gog)(x)
(fof)(x) = f(f(x))
f(f(x)) = f(7/x)
Replace x with 7/x
f(7/x) = 7/(7/x)
f(7/x) = 7 * x/7
f(7/x) = x
Similarly:
(gog)(x) = g(g(x))
g(g(x)) = (x² - 8)² - 8
g(g(x)) = x⁴-16x²+64 - 8
g(g(x)) = = x⁴-16x²+56
Hence the resulting composite functions of f(f(x) and g(g(x)) are x and x⁴-16x²+56
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Please solve the radical equation.
Answers
You plan to retire in 30 years. After that, you need $75,000 per year for 20 years (first withdraw at t=31 ). At the end of these 20 years, you will enter a retirement home where you will stay for the rest of your life. As soon as you enter the retirement home, you will need to make a single payment of 2 million. You want to start saving in an account that pays you 8% interest p.a. Therefore, beginning from the end of the first year (t=1), you will make equal yearly deposits into this account for 30 years. You expect to receive $350,000 inheritance at t=30 from your late uncle and you will deposit this money to your retirement account. What should be the yearly deposits?
6587.25
7198.40
8066.36
8744.81
Answers
The yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.
To calculate the yearly deposits needed, we can use the concept of future value of an annuity. The future value formula for an annuity is given by:
FV = P * [(1 + r)^n - 1] / r
Where:
FV = Future value of the annuity
P = Yearly deposit amount
r = Interest rate per period
n = Number of periods
In this case, the future value needed is $2 million, the interest rate is 8% (0.08), and the number of periods is 30 years. We need to solve for the yearly deposit amount (P).
Using the given formula:
2,000,000 = P * [(1 + 0.08)^30 - 1] / 0.08
Simplifying the equation:
2,000,000 = P * [1\(.08^3^0 -\) 1] / 0.08
2,000,000 = P * [10.063899 - 1] / 0.08
2,000,000 = P * 9.063899 / 0.08
Dividing both sides by 9.063899 / 0.08:
P = 2,000,000 / (9.063899 / 0.08)
P ≈ 2,000,000 / 113.298737
P ≈ 17,650.23
Therefore, the yearly deposit needed to achieve the retirement goal is approximately $17,650.23. None of the given options match this amount, so the correct answer is not provided in the given options.
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help asap if you can pls!!!!!!
Answers
The following statements can be concluded if ∠ABC and ∠CBD are a linear pair:
B. ∠ABC and ∠CBD are supplementary.
D. ∠ABC and ∠CBD are adjacent angles.
What is the linear pair theorem?In Mathematics, the linear pair theorem states that the measure of two angles would add up to 180° provided that they both form a linear pair. This ultimately implies that, the measure of the sum of two adjacent angles would be equal to 180° when two parallel lines are cut through by a transversal.
According to the linear pair theorem, ∠ABC and ∠CBD are supplementary angles because BDC forms a line segment. Therefore, we have the following:
∠ABC + ∠CBD = 180° (supplementary angles)
m∠ABC ≅ m∠CBD (adjacent angles)
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Two step equation help me pls step by step
The questions 36 and 37
Answers
Answer:
Step-by-step explanation:
SOLVING
================================================================
Question 36
6=-2(7-c)
Use distribution to multiply -2 by parenthesis
6=-14+2c
Add to both sides 14
20=2c
Divide 2 into both sides
10=c
Question 375(h-4)=8
Use distribution to multiply 5 by the parenthesis
5h-20=8
Add to both sides 20
5h=28
Divide 5 into both sides
\(h=\frac{28}{5}\)
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==============================================================
Solve for the missing side.
4)
12 mi
X
15 mi
Answers
12 + b^2 = 15
So using the equation a^2 + b^2 = c^2 and the transverse property the answer is 1.732
P and Q are two points on the line x-y+1=0 and at the distance of 5 units from origin. find the area of ∆OPA.
Answers
At first we have to find the coordinates of P and Q.
Assuming that you mean “the points P and Q are both distant 5 from the origin”, the locus of points which are distant 5 from the origin is a circumference whose equation is:
2+2=(5)2
We find the coordinates of P and Q as the intersection between the circumference and the line −+1=0
on which they are located.
The solution of the linear system is (3,4)
and (−4,−3)
So P(3,4) and Q(-4,-3)
The following step consists in calculating the area of a triangle with base PQ and height equal to the distance of the line from the origin, that can be calculated with the formula:
ℎ=|0−0+1|(1)2+(−1)2√
where 0
and 0
are the coordinates of the origin. Hence, the distance is equal to 2√2
and the base PQ is equal to (3−(−4))2+(4−(−3))2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=72‾√
The area of the triangle OPQ is now equal to 12∗ℎ=72
to explore the effects of multivitamin supplements on health, you recruit 100 volunteers. half are to take a multivitamin supplement daily. the other half are to take a placebo daily. multivitamin supplements may have different effects on men and women because their nutritional needs may differ. forty of the volunteers are women and 60 are men, so you separately randomly assign half the women to the multivitamin group and half the men to the multivitamin group. the remaining volunteers are assigned to the placebo group. this is an example of
Answers
This study design allows for the comparison of the health outcomes between the two groups, enabling researchers to evaluate the specific effects of multivitamin supplements on both men and women.
1. This study design is an example of a randomized controlled trial (RCT) aimed at exploring the effects of multivitamin supplements on health. The study recruited 100 volunteers and divided them into two groups: a multivitamin group and a placebo group. The multivitamin group consists of half of the participants, while the other half is assigned to the placebo group. The researchers recognized the potential differences in nutritional needs between men and women and, therefore, ensured separate random assignment within each gender group.
2. A randomized controlled trial (RCT) is a research design commonly used to assess the effectiveness or impact of a particular intervention, such as a medication, treatment, or in this case, a multivitamin supplement. The goal of an RCT is to determine whether the intervention has a causal effect on the outcome of interest by randomly assigning participants to either an intervention group or a control group.
3. In this example, the study design involved recruiting 100 volunteers and dividing them into two groups: a multivitamin group and a placebo group. This division ensures that the effects observed can be attributed to the multivitamin supplement itself and not to other factors. By randomly assigning participants to the groups, the researchers minimize the potential for bias, as randomization helps to distribute confounding factors equally between the two groups.
4. Furthermore, the researchers recognized the potential differences in nutritional needs between men and women. To account for this, they separately and randomly assigned half of the women to the multivitamin group and half of the men to the multivitamin group. This stratified random assignment within gender groups ensures that any observed effects can be analyzed separately for men and women, allowing for a more nuanced understanding of how multivitamin supplements may impact their health differently.
5. Overall, this study design demonstrates a well-structured approach to investigating the effects of multivitamin supplements on health outcomes, considering both the potential gender differences and the need for rigorous control through randomization.
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solve the equation
pic:
Answers
The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891
How to solve the equationFrom the question, we have the following parameters that can be used in our computation:
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)
Using the following trigonometry ratio
sin²(x) + cos²(x) = 1
We have
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)
The sum to infinity of a geometric series is
S = a/(1 - r)
So, we have
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)
So, we have
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)
Evaluate the sum
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)
This gives
\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)
Hence, the solution to the equation is 10.3891
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You have a bag with 2 red marbles, 3 blue marbles, and 1 green marble. You draw a marble from the bag and then put it back in before drawing another one. What is the probability that both marbles are blue?
Answers
The probability that both marbles are blue is 1/4.
Since the marble is put back into the bag before the second draw, the probability of drawing a blue marble on the first draw is 3/6 or 1/2, and the probability of drawing a blue marble on the second draw is also 3/6 or 1/2.
The probability of both events happening together (drawing a blue marble on the first and second draws) is equal to the product of the probabilities of each event occurring separately, since the two events are independent of each other:
P(Blue on first draw AND Blue on second draw) = P(Blue on first draw) x P(Blue on second draw)
= 1/2 x 1/2
= 1/4
Therefore, the probability of drawing two blue marbles in a row with replacement is 1/4 or 25%.
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Answer:
Solve.
Step-by-step explanation:
make the 2 3 and 1 then turn them into 20 30 and 10 then you need to add them together to get the answer divide that by thirty and if its more than half yes, less than half no.
Find the value of x, y, and z in the parallelogram below.
P=
y =
11
(-y-1)⁰
119⁰
(-4x-5)
(-10z+1)
Answers
Answer:
\(\boxed{x = -31}\)
\(\boxed{y = -62}\)
\(\boxed{z = -6}}\)
Step-by-step explanation:
There are a couple of properties of parallelograms that can help solve for the unknowns
The opposite angles of a parallelogram are congruent(equal)Consecutive angles are supplementary(add up to 180°)Using property 1 that opposite angles are equal we have:
-4x - 5 = 119
⇒ -4x = 119 + 5
⇒ -4x = 124
⇒ x = 124/-4
⇒ x = -31
Using property 2 that consecutive angles are supplementary on angles
(-y - 1)° and 119°:
(- y - 1) + 119 = 180
⇒ - y - 1 + 119 = 180
⇒ - y + 118 = 180
⇒ - y = 180 - 118
⇒ - y = 62
⇒ y = -62
Using property 2 for angles (-10z - 1)° and 119°
(-10z + 1) + 119 = 180
- 10z + 1 + 119 = 180
⇒ - 10z + 120 = 180
⇒ -10z = 180 - 120
⇒ -10z = 60
⇒ z = 60/-10
⇒ z = -6
4+a cuz I don’t get this
Answers
Answer:
This isn't a question lol
Put the question in the replies to this answer and I'll gladly answer it for you.
Step-by-step explanation:
May I have brainliest please? :)
A bottle contains 255 coins 1/3 of the coins are £1 coins 110 of the coins are 50p coins the rest of the coins are 20p coins work out the total value of the coins contained in the bottle.
Answers
Answer:
£169
Step-by-step explanation:
255/3 = £85
110 x 50 p = 5500 p
255 - 110 = 145 coins which are 20 p
145 x 20 p = 2900 p
5500 p = £55
2900 p = £29
£85 + £55 + £29 = £169
Answer:
I sun 169 ofc
Step-by-step explanation:
what is 87 divided by 15 with remainder
\
Answers
Answer:
5.8
Step-by-step explanation:
87/15 = 5.8
As part of your retirement planning, you purchase an annuity that pays 5.75% annual interest compounded quarterly If you make quarterly payments of $1600 how much will you have saved in 5 years? Instead, if you make quarterly payments of $800, how much will you have saved in 10 years?
Answers
can someone help me please?
Answers
Answer: > (1st answer choice)
Step-by-step explanation: 0.9 is greater than 0.81
A new car dealership sell cars and trucks in a ratio of 7 to 5. Last
month, the dealership sold 84 cars and trucks. How many cars and how
many trucks were sold?
Answers
Answer:
Cars: 49
Trucks: 35
Step-by-step explanation:
7x+5x=84
12x=84
x=84/12
x=7
write the hypotheses to test if the success rate for art at this clinic is significantly higher than the success rate reported by the cdc.
Answers
In contrast to the CDC's reported success rate, the success rate for art at this clinic is substantially greater.
what is null hypothesis ?A claim or assumption that there is no statistically significant difference between two populations or sets of data is known as the null hypothesis. It serves as the beginning point for statistical hypothesis testing and is typically indicated as H0. According to the null hypothesis, any observed difference between the populations or data sets is the result of sampling error or random chance rather than a genuine difference.
given
The success rate for art at this clinic is not statistically different from the CDC's claimed success rate.
In contrast to the CDC's reported success rate, the success rate for art at this clinic is substantially greater.
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Solve the following equations. Make sure you show each step of the work including any Distributive Property,
Inverse operations and combining/collecting of like terms that may be needed. Remember that what you do to
one side you must do to the other when using inverse equations. Label your response with the same letter of the
problem AND write the original problem first before you begin to solve.
A) 1d + 12 = 14-20
B) 4(20+5) = 10r
C) -2(5 + x) - 1 = 3(x + 3)
Answers
Answer:
A) -18 B) r=10 C) x=-4
Step-by-step explanation:
A) 1d + 12 = 14-20
Step 1: Simplify both sides of the equation.
1d+12=14−20
d+12=14+−20
d+12=(14+−20)(Combine Like Terms)
d+12=−6
d+12=−6
Step 2: Subtract 12 from both sides.
d+12−12=−6−12
d=−18
Answer:
d=−18
B) 4(20+5) = 10r
Step 1: Simplify both sides of the equation.
100=10r
Step 2: Flip the equation.
10r=100
Step 3: Divide both sides by 10.
r=10
C) -2(5 + x) - 1 = 3(x + 3)
Step 1: Simplify both sides of the equation.
−2(5+x)−1=3(x+3)
(−2)(5)+(−2)(x)+−1=(3)(x)+(3)(3)(Distribute)
−10+−2x+−1=3x+9
(−2x)+(−10+−1)=3x+9(Combine Like Terms)
−2x+−11=3x+9
−2x−11=3x+9
Step 2: Subtract 3x from both sides.
−2x−11−3x=3x+9−3x
−5x−11=9
Step 3: Add 11 to both sides.
−5x−11+11=9+11
−5x=20
Step 4: Divide both sides by -5.
x=−4
Suppose that a company owns 400 computers. Each computer has an 11% probability of not working. Suppose we randomly select 25 computers. What is the probability that at least 22 will work in good condition
Answers
The probability that at least 22 out of 25 computers will work in good condition is approximately 0.0250, or 2.5%.
To calculate the probability that at least 22 out of 25 computers will work in good condition, we can use the binomial distribution formula.
The binomial distribution formula is given by:
\(P(X = k) = C(n, k) \times p^k \times (1 - p)^{(n - k)\)
Where:
P(X = k) is the probability of getting exactly k successes,
C(n, k) is the number of ways to choose k items from a set of n items (also known as the binomial coefficient),
p is the probability of success on a single trial, and
n is the total number of trials.
In this case, n = 25 (the total number of computers selected), k ranges from 22 to 25 (at least 22 working computers), and p = 0.89 (probability of a computer working, which is 1 - 0.11).
Let's calculate the probability using these values:
P(X ≥ 22) = P(X = 22) + P(X = 23) + P(X = 24) + P(X = 25)
\(P(X = k) = C(25, k) \times 0.89^k \times 0.11^{(25 - k)\)
\(P(X = 22) = C(25, 22) \times 0.89^{22} \times 0.11^3\)
\(P(X = 23) = C(25, 23) \times 0.89^{23} \times 0.11^2\)
\(P(X = 24) = C(25, 24) \times 0.89^{24} \times 0.11^1\)
\(P(X = 25) = C(25, 25) \times 0.89^{25} \times 0.11^0\)
Calculate the binomial coefficients, we can find:
P(X = 22) ≈ 0.0210
P(X = 23) ≈ 0.0038
P(X = 24) ≈ 0.0002
P(X = 25) ≈ 0.0000
Finally, summing up these probabilities:
P(X ≥ 22) ≈ 0.0210 + 0.0038 + 0.0002 + 0.0000
≈ 0.0250
Therefore, the probability that at least 22 out of 25 computers will work in good condition is approximately 0.0250, or 2.5%.
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Please can someone help me with this question?
Answers
9514 1404 393
Answer:
C. f^-1(x) = (x +4)^2; x ≥ -4
Step-by-step explanation:
The range of the given function f(x) is -4 ≤ f(x). This will be the domain of the inverse function.
We find the inverse function by solving ...
x = f(y)
x = √y -4
x +4 = √y
(x +4)^2 = y
The inverse function is ...
f^-1(x) = (x +4)^2 . . . for x ≥ -4
The store's rectangular floor is 42 meters long and 39 M wide how many square meters of flooring do they need use estimation access to the reasonableness of your answer
Answers
Answer: They need to use 1,638 square meters of flooring.
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given, and apply the next formula:
Area of a rectangle: length x width
Replacing with the values given and solving for the area (A):
A = 42 x 39 = 1,638 m2
They need to use 1,638 square meters of flooring.
Feel free to ask for more if needed or if you did not understand something.
H= Substitute the given values into the given formula and solve for the unknown variable. If necessary round to one decimal place
Answers
We need to evaluate the following expression:
\(S=4LW+2WH\)Where S is equal to 108, L is equal to 7 and W is equal to 3. We have:
\(\begin{gathered} 108=4\cdot7\cdot3+2\cdot3\cdot H \\ 108=84+6\cdot H \\ 84+6\cdot H=108 \\ 6\cdot H=108-84 \\ 6\cdot H=24 \\ H=\frac{24}{6}=4 \end{gathered}\)a jet travels 2964 miles against the wind in 4 hours and 3564 miles with the wind in the same amount of time. what is the rate of the jet in still air and what is the rate of the wind?
Answers
The rate of the jet in still air is 741 mph, and the rate of the wind is 150 mph.
What is rate ?
A rate is a ratio of two quantities, typically a change in one quantity over a corresponding change in another quantity, often over a specific time period. For example, the interest rate on a loan is the ratio of the interest paid to the amount of the loan. A speed is a rate at which an object covers distance, velocity is a rate of change of position, etc.
To find the rate of the jet in still air:
Rate = Distance / Time
The distance is 2964 miles, and the time is 4 hours. So the rate of the jet in still air is:
Rate = 2964 / 4 = 741 mph
To find the rate of the wind, you can use the formula:
Wind Rate = (Distance with wind - Distance against wind) / Time
The distance with the wind is 3564 miles, the distance against the wind is 2964 miles, and the time is 4 hours. So the rate of the wind is:
Wind Rate = (3564 - 2964) / 4 = 600 / 4 = 150 mph
So the rate of the jet in still air is 741 mph, and the rate of the wind is 150 mph.
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Given that f(x)=x^2=11x+30 and g(x)=x-5, find f(-g)(x) and express the result as a polynomial in simplest form.
Answers
Hey there,
We have,
f(x) = x² + 11x + 30g(x) = x + 6
Now,
(f.g)(x) = f(g(x))
Substituting...
g(x) = x + 6f(g(x)) = f(x + 6)
Now,
f(x + 6)= (x + 6)² + 11(x + 6) + 30= x² + 12x + 36 + 11x + 66 + 30= x² + 23x + 132
So,The value is x² + 23x + 132
how many days are in a year?
Answers
Answer:
365 days in a year
Step-by-step explanation:
Look at a calendar
Answer:
Three hundred and sixty-five
Step-by-step explanation:
We know this because it takes exactly 1 year (365 days) to make one rotation around the sun. But we see the sun every day because the earth is on a sort of axis that it rotates on so when one-half of the earth does not see the sun the other half does due to this axis.