Answer:
Is the C and F
Step-by-step explanation:
what’s the inverse function of
f (x) = 2x+3
Answer:
\(f^{2} (x) = \frac{1}{2} x + \frac{3}{2}\)Step-by-step explanation:
Answer:
\(f^{-1}\) = \(\frac{x-3}{2}\)
The inverse of a function is just the opposite of the function.
A quadratic function has the complex roots (1 +3i) and (1 – 3i). What is the
quadratic function in standard form?
Answer:
x² - 2x + 10 = 0Step-by-step explanation:
The roots are:
(1 +3i) and (1 – 3i)The equation is:
(x - (1 + 3i))(x - (1 - 3i)) = 0x² - (1 + 3i + 1 - 3i)x + (1 + 3i)(1 - 3i) = 0x² -2x + (1 - 9i²) = 0x² - 2x + 1 + 9 = 0x² - 2x + 10 = 0$7,400 is invested in an account earning 6.8% interest (APR), compounded daily. Write a function showing the value of the account after t years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent.
PLEASE GIVE BRAINLIEST! :)
Thank you and have a good day
I hope this helps! <3
A = P * (1 + (r / n))^(n*t)
In this case, we have:
P = $7,400
r = 6.8% = 0.068 (expressed as a decimal)
n = 365 (since interest is compounded daily)
t = the number of years
So the function for the value of the account after t years is:
A(t) = 7,400 * (1 + (0.068 / 365))^(365*t)
Simplifying and rounding to four decimal places, we get:
A(t) = 7,400 * 1.0702^(365*t)
To determine the annual percentage yield (APY), we can use the formula:
APY = (1 + (r / n))^n - 1
Plugging in the values we have, we get:
APY = (1 + (0.068 / 365))^365 - 1
Simplifying and rounding to two decimal places, we get:
APY = 6.98% (rounded to the nearest hundredth of a percent)
How many more pairs of parallel sides does a regular octogon have then a regular hexagon
Answer:
1 more.
Step-by-step explanation:
A regular octagon has 4 pairs.
A regular hexagon has 3 pairs.
Hope this helped. :)
Line JK passes through points J(–4, –5) and K(–6, 3). If the equation of the line is written in slope-intercept form, y = mx + b, what is the value of b?
–21
–4
11
27
Find the slope that passes between the points.
(y₂ - y₁) / (x₂ - x₁)
J(-4, -5)
K(-6, 3)
(3 - (-5)) / (-6 - (-4))
(3 + 5) / (-6 + 4)
8 / -2
-4
Now slap that slope into the formula and substitute on of the coordinates to the formula to solve for b (I'll take point K's coordinate):
y = mx + b
y = -4x + b
3 = -4(-6) + b
3 = 24 + b
3 - 24 = b
- 21 = b
b = -21
If the equation of the line is written in slope-intercept form, y = mx + b, then the value of b is -21 and is denoted as option A.
What is Slope?This is also referred to as the gradient of a line and measures its steepness and direction.
Slope = (y₂ - y₁) / (x₂ - x₁)
ParametersJ(-4, -5) and K(-6, 3)
= (3 - (-5)) / (-6 - (-4))
= (3 + 5) / (-6 + 4)
= 8 / -2
= -4
Substitute one of the coordinates into the formula to solve for b
y = mx + b
y = -4x + b
3 = -4(-6) + b
3 = 24 + b
3 - 24 = b
b = - 21
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How can you find out the slop without dots.
Answer:
y = -3x + 6
Step-by-step explanation:
The slope is the amount of y change when you take one x step to the right. As you can see from the line, it drops 3 units for every step to the right. Hence the slope is -3.
For x = 0, y is 6, so the equation is y = -3x + 6
You can find the slope with points. You do not necessarily need dots. In the graph there are the 2 points (0, 6) and (2, 0). There is also another point at exactly (1, 3).
You can use those points to find the slope using the equation
\(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)
what is the answer to7 10/9 -6 1/9
Answer:
18/9 or simplified for 2
Step-by-step explanation:
7 10/9 = 73/9
6 1/9 = 55/9
73/9 - 55/9= 18/9 or 2
Answer:
2.
Step-by-step explanation:
First, convert the mixed fractions to improper fractions:
\(\frac{73}{9}\) - \(\frac{55}{9}\)
Then subtract the values:
\(\frac{73-55}{9} =\frac{18}{9}\)
Finally, simplify the fraction:
= 2.
demetri invested money in two different stocks. After one year, he recieved a letter that summarized the performance of the stocks graphically. Demetri observed that the growth of each stock was the same. Which equation shows the translation of the graph of stock B to that of stock A?
Answer: C
Step-by-step explanation:
Answer:c
Step-by-step explanation:
On June 10, Bertha Wooten deposited $8,241.78 in a savings account that pays 5.5% interest compounded
daily. How much interest will the money earn in 31 days?
The amount of interest that Bertha Wooten's deposit will earn in 31 days is $38.59, which is the difference between the future value and the present value.
What is the future value?The future value represents the amount that will be in the account after the present value investment is compounded at an interest rate periodically.
The future value of an investment can be calculated using the future value formula, A = P (1 + i)^n.
Where:
A = future value
P = Present value of investment
i = interest rate
n = number of periods.
The future value of the investment can also be determined using an online finance calculator, as follows.
Then the interest is the difference between the future value and the present value.
Data and Calculations:Initial deposit = $8,241.78
Interest rate = 5.5% compounded daily
Investment period = 31 days
N (# of periods) = 31 days
I/Y (Interest per year) = 5.5%
PV (Present Value) = $8,241.78
PMT (Periodic Payment) = $0
Results:
FV = $8,280.37
Total Interest $38.59 ($8,280.37 - $8,241.78)
Thus, the amount of interest that Bertha Wooten's deposit will earn in 31 days is $38.59.
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paul owns his own plumbing company. He charges customers a $50 call fee plus $25 an hour for labor plus parts. if h, represents hours and p, represents parts, which equation can be used to represent c, the total cost of the customers bill
a is directly proportional to the cube root of c.
w is inversely proportional to the square root of a
When c = 2, a = 48
When a = 9, w = 2400
Find the value of w when c = 6
The value of w is 38400 when the value of c is 6 as per the concept of a proportional relationship.
Given:
a is directly proportional to the cube root of c.w is inversely proportional to the square root of a.When c = 2, a = 48When a = 9, w = 2400We have to find the value of w at c = 6.
If c = 6, then the value of a becomes a = 48 times (6 divided by 3)
Therefore, the value of a can be evaluated as,
a = 48 x 6/3
a = 48 x 3
a = 144
To find the value of w, rearrange the value of 'a' in the multiple of 9.
For that, divide 144 by 9.
144/9 = 16.
Now, multiply 16 by 2400.
The final value of w = 2400 x 16
w = 38400
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Please help! i really need help with this! question is below!
Step-by-step explanation:
Area of the square:
a^2: 4^2=16in^2
Area of the circle:
πr^2: π(4.5)^2= 63.6
Area of white part:
63.6 - 16 = 47.6
Probability of landing on square:
16/63.6 = 0.25
Probability of landing on white part:
63.6/16 = 3.975
Pls help me solve this question
Answer:
use Pythagoras therom for i number
Step-by-step explanation:
125^2- 100^2 = root under 5625 = 75
no contestant received the same score on two different days. if a contestant is selected at random, what is the probability that the selected contestant received a score of 5 55 on day 2 22 or day 3 33, given that the contestant received a score of 5 55 on one of the three days?
The probability that the selected contestant received a score of 5 55 on day 2 22 or day 3 33, given that the contestant received a score of 5 55 on one of the three days is 2/3 or approximately 0.67.
To see why, note that there are three possible cases: the contestant received a score of 5 55 on day 1 11, day 2 22, or day 3 33. We know that the contestant received a score of 5 55 on one of the days, so we can ignore the first case.
Now, since no contestant received the same score on two different days, the contestant who received a score of 5 55 on day 2 22 cannot have received that same score on day 3 33. Similarly, the contestant who received a score of 5 55 on day 3 33 cannot have received that same score on day 2 22. Therefore, if a contestant received a score of 5 55 on one of the days, there are only two possible days on which that could have happened (day 2 or day 3), and both of these have an equal chance of being the correct day. So, the probability is 2/3.
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*97 POINTS*
Use the numerals representing cardinalities in the Venn diagram, shown on the right, to give the cardinality of the set
A' ∩ B' ∩ C. '
n(A' ∩ B' ∩ C')= ___________
Answer:
19
Step-by-step explanation:
A' represents everything out A
B' represents everything out B
C' represents everything out C
So only the outside is left hope this helps
determine whether the following are linear trans- formations from r2 into r3.
(a) L(x) = (x1, L2, 1)^T
(b) L(x) = x1,0,0)^t
(a) The transformation L(x) = (x1, L2, 1)^T is not a linear transformation from ℝ² to ℝ³. In order for a transformation to be linear, it must satisfy two conditions: preservation of addition and preservation of scalar multiplication.
For preservation of addition, we need L(u + v) = L(u) + L(v) for any vectors u and v in ℝ². However, in this case, if we consider two vectors u = (u₁, u₂) and v = (v₁, v₂), the transformation L(u + v) would be (u₁ + v₁, L2, 1)^T, while L(u) + L(v) would be (u₁, L2, 1)^T + (v₁, L2, 1)^T = (u₁ + v₁, 2L2, 2)^T. Since 2L2 ≠ L2 and 2 ≠ 1, we can see that the preservation of addition condition is not satisfied.
Therefore, the transformation L(x) = (x1, L2, 1)^T is not a linear transformation.
(b) The transformation L(x) = (x₁, 0, 0)^T is a linear transformation from ℝ² to ℝ³. This transformation simply takes the x-coordinate of a vector in ℝ² and maps it to the x-coordinate of a vector in ℝ³, while setting the y and z coordinates to zero.
To verify the linearity of this transformation, we need to check the preservation of addition and preservation of scalar multiplication conditions. For any vectors u = (u₁, u₂) and v = (v₁, v₂) in ℝ², we have:
L(u + v) = (u₁ + v₁, 0, 0)^T = (u₁, 0, 0)^T + (v₁, 0, 0)^T = L(u) + L(v),
which shows the preservation of addition. Similarly, for any scalar c and vector u = (u₁, u₂) in ℝ², we have:
L(cu) = (cu₁, 0, 0)^T = c(u₁, 0, 0)^T = cL(u),
which demonstrates the preservation of scalar multiplication.
Therefore, the transformation L(x) = (x₁, 0, 0)^T is a linear transformation from ℝ² to ℝ³.
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-[-/7.14 Points] DETAILS LARPCALC11 6.4.036. Find the angle (in radians) between the vectors. (Round your answer to two decimal places.) u = 4i - 6j v = 5i + 4j 0 =
4. [-/7.14 Points] DETAILS LARPCAL
The angle (in radians) between vectors u and v is approximately 1.66 radians, rounded to two decimal places.
To find the angle between two vectors, we can use the dot product formula and the magnitudes of the vectors. Let's calculate the angle between vectors u and v:
Given:
u = 4i - 6j
v = 5i + 4j
Step 1: Calculate the dot product of u and v.
The dot product of two vectors u and v is given by:
u · v = |u| |v| cosθ
where |u| and |v| are the magnitudes of vectors u and v, respectively, and θ is the angle between them.
To calculate the dot product, we multiply the corresponding components of u and v and sum them:
u · v = (4 * 5) + (-6 * 4) = 20 - 24 = -4
Step 2: Calculate the magnitudes of vectors u and v.
The magnitude of a vector is given by:
|u| = √(u₁² + u₂²)
For vector u:
|u| = √((4)² + (-6)²) = √(16 + 36) = √52 ≈ 7.21
For vector v:
|v| = √((5)² + (4)²) = √(25 + 16) = √41 ≈ 6.40
Step 3: Calculate the angle θ.
Using the dot product formula mentioned earlier, we have:
-4 = (7.21)(6.40)cosθ
Solving for cosθ:
cosθ = -4 / (7.21 * 6.40) ≈ -0.086
To find θ, we can take the inverse cosine (arccos) of cosθ:
θ ≈ arccos(-0.086) ≈ 1.66 radians
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what is the area of a prism
Answer:
The area of prism is calculated by:(a+b)h/2
What is m \angle BGC?
A. 111°
B. 145°
C. 76°
D. 104°
The value of the missing angle is calculated as: ∠BGC = 76°
How to find the missing angle?The parameters are given as:
∠AGB = 35°
∠AGE = 69°
From angle theorems, we know that the sum of angles on a straight line is 180°. If we split any straight line into smaller angles, all of these angles would then be summed up to make 180° which is the same as with a triangle. Angles in a straight line are a very useful problem solving tool for many geometric problems.
Thus:
∠AGB + ∠AGE + ∠BGC = 180°
Thus:
35 + 69 + ∠BGC = 180
∠BGC = 180 - (69 + 35)
∠BGC = 76°
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In a hypothesis test for population proportion, you calculated the p-value is 0.01 for the test statistic, which is a correct statement of the p-value?
Group of answer choices
a)The p-value indicates that it is very rare to observe a test statistics equally or more extreme when the null hypothesis is true.
b)The p-value indicates that it is very likely to observe a test statistics equally or more extreme when the null hypothesis is true.
c)The p-value is calculated assuming the alternative is true.
The p-value is 0.01, which means that it is very rare to observe a test statistic that is equal to or more extreme than the one that was actually observed. SO the option a is correct.
In the given question, in a hypothesis test for population proportion, we calculated the p-value is 0.01 for the test statistic, we have to find which statement of the p-value is correct.
The p-value is the probability of obtaining results as extreme as, or more extreme than, the observed results of a statistical hypothesis test, assuming that the null hypothesis is true. A small p-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis.
A large p-value (> 0.05) indicates weak evidence against the null hypothesis, so you fail to reject the null hypothesis.
If the null hypothesis is correct, the p-value is the likelihood that a test statistic will be equal to or more extreme than the one that was actually observed. Given that the null hypothesis is correct in this situation, the p-value of 0.01 indicates that it is extremely unusual to see a test statistic as dramatic as the one that was actually seen. This shows that the alternative hypothesis is more likely to be correct and that the null hypothesis is probably not true.
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Suppose that, in an alternate universe, the possible values of m
l
are the integer values including 0 ranging from −l−1 to l+1 (instead of simply −l to +l ). How many orbitals would exist in each of the following subshells? A. p subshell B. d subshell Which atomic orbitals have values of n=3 and I=1 ?
A. In the alternate universe, the p subshell would have 5 orbitals.
B. In the alternate universe, the d subshell would have 10 orbitals.
In the alternate universe where the possible values of mℓ range from -l-1 to l+1, the number of orbitals in each subshell can be determined.
A. For the p subshell, the value of l is 1. Therefore, the range of mℓ would be -1, 0, and 1. Including the additional values of -2 and 2 from the alternate universe, the total number of orbitals in the p subshell would be 5 (mℓ = -2, -1, 0, 1, 2).
B. For the d subshell, the value of l is 2. In the conventional universe, the range of mℓ would be -2, -1, 0, 1, and 2, resulting in 5 orbitals. However, in the alternate universe, the range would extend to -3 and 3. Including these additional values, the total number of orbitals in the d subshell would be 10 (mℓ = -3, -2, -1, 0, 1, 2, 3).
Therefore, in the alternate universe, the p subshell would have 5 orbitals, and the d subshell would have 10 orbitals.
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The following measurements (in picocuries per liter) were recorded by a set of radon gas detectors installed in a laboratory facility: 684,684.4,677.1,680.6,671.5,657.1 Using these measurements, construct a 80% confidence interval for the mean level of radon gas present in the facility. Assume the population is approximately normal. Step 1 of 4 : Calculate the sample mean for the given sample data. Round your answer to two decimal places.
Answer:
We get a sample mean of 675.78.
Step-by-step explanation:
To calculate the sample mean, we need to sum up all the measurements and divide by the total number of measurements:
Sample mean = (684 + 684.4 + 677.1 + 680.6 + 671.5 + 657.1) / 6 Sample mean = 4054.7 / 6 Sample mean = 675.78
Rounding this to two decimal places, we get a sample mean of 675.78.
a data analyst is using statistical measures to get a better understanding of their data. what function can they use to determine how strongly related are two of the variables?
The correlation coefficient can be used to get a better understanding and to determine the extent of a strong relation between two variables.
In a statistical setting, two or more variables are said to be connected if their values fluctuate in such a way that as the value of one variable rise or falls, the value of the other variable does the same (although it may be in the opposite direction).
For instance, there is a relationship between the two variables "hours worked" and "revenue earned" if a rise in hours worked is correlated with an increase in income earned. When considering the two factors "price" and "purchasing power," the ability of a person to purchase items reduces as the price of those goods rises (assuming a constant income).
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I’ll give brainliest
Answer:
B
Step-by-step explanation:
We know that it costs 37 cents to mail a letter that weighs 1 oz or less. This would mean that for x ≤ 1, P(x) should equal 37. Already, we can eliminate A and D.
We also know that it costs an additional 26 cents for at most another ounce added to the original 1 ounce. This means that for 1 < x ≤ 2, P(x) = 26 + 37 = 63. This is shown by B.
Thus, the answer is B.
~ an aesthetics lover
Which shows one way to determine the factors of 4x3 + x2 – 8x – 2 by grouping? x2(4x + 1) – 2(4x + 1) x2(4x – 1) + 2(4x – 1) 4x2(x + 2) – 1(x + 2) 4x2(x – 2) – 1(x – 2)
Answer:
see explanation
Step-by-step explanation:
Given
4x³ + x² - 8x - 2 ( factor the first/second and third/fourth terms )
= x²(4x + 1) - 2(4x + 1) ← first option on list
Finishing the factoring by factoring out (4x + 1) from each term
= (4x + 1)(x² - 2)
Answer:
x2(4x + 1) – 2(4x + 1)
Step-by-step explanation:
it's A on edg
Match each equation with the slope (m) and y-intercept (b) m:-6, b:(0,5) m:-5/6, b:(0,1)m:5/6, b:(0,1)m:5/6, b:(0,-1)y=5-6xy=(5/6)x +15x-6y=65x+6y=6
Ok, so
First of all, remember that a line can be described by two forms:
1. y = mx+b, where m is the slope and b is the y - intercept-
2. We would have the general equation for a line, which is:
Ax + By + C = 0
Where m(slope) is -A/B and the intercept (b) is -C/B.
Now, let's find the slope and y - intercept for each line here below.
a. y = 5 - 6x
Here we have a line which has the first form (1). So, if we rewrite:
y = - 6x + 5.
So, If we compare with the first equation, we notice that m = -6 and b = 5
or, m = -6 and b = (0,5)
b. y = (5/6)x + 1
Here we have a line which has the first form (1).
So, if we compare, we notice that m = 5/6 and b = 1, or, m = 5/6 and b = (0,1)
c. 5x - 6y = 6
If we rewrite the equation:
5x - 6y - 6 = 0
Here we have a line which has the second form (2).
We know that
A = 5
B = -6
C = -6
If we replace, m = -A/B, which is -(5) / (-6) , and this is 5/6.
And, y intercept will occurs at y = -C/B, which is -(-6) / -6, which is 6/-6, or -1.
So, the slope will be 5/6 and y-intercept (0,-1).
m = 5/6 and b = (0,-1)
d. 5x + 6y = 6
If we rewrite the equation:
5x + 6y - 6 = 0
Here we have a line which has the second form (2).
We know that:
A = 5
B = 6
C = -6
If we replace, m = -A/B, which is -(5) / 6, so, m = -5/6
And, y intercept will occurs at y = -C/B, which is -(-6) / 6, so, b = 1
Finally, m = -5/6, and b = (0,1)
Clara estimates that the product of 32 and 41 is about 1,200.Her estimate is an overestimate or underestimate
Answer: Underestimate
Step-by-step explanation: because the answer is 1,312
What is √15 divided by √12 simplified?
☁️ Answer ☁️
annyeonghaseyo!
I Got:
√5/2
Here's the Decimal Form:
1.11803398
Hope it helps.
Have a nice day noona/hyung!~  ̄▽ ̄❤️
3x - y = 15 and 6x - 2y = 30
Answer:
30?
Step-by-step explanation:
pleeeeeeeeeeeeee
eease help
9) If point ( x , y) rotates 90◦ clockwise about the origin. Then,
(x , y)------> (y,-x)
B (-2,0)-------> B’(0,2)
C (-4, 3) -------->C’ (3,4)
Z (-3, 4) --------->Z’ (4,3)
X (-1, 4) --------->X’ (4,1)
There are four different ways to change a point, line, or geometric figure, and each one has an impact on the object's shape and/or placement .The Pre-Image refers to the object's initial shape, and the Image, after the transformation, refers to the object's ultimate shape and location.
Hence, transformation of an equation into another equation whose roots are opposite of the roots of a provided equation in which we replace xx3.
10) Reflection across y=x. K(-5,-2) , A(-4,1) , I(0,-1) , J(-2,-4)
Reflection across y=x
(x , y)------> (y, x)
K (-5,-2) -------> K’(-2,-5)
A (-4, 1) -------> A’(1,-4)
I (0,-1) -------> I’(-1,0)
J (-2,-4) -------> J’(-4,-2)
Transformations can be divided into four categories: translation, rotation, reflection, and enlargement.
Hence, transformation of an equation into another equation whose roots are reciprocals of the roots of a given equation in which we replace xx1.
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