Answer:
geometric sequence
ratio
2
Given the point P(5,-3). Rotate the following point 90 degrees CCW. Then translate (x,y) + (x-4, y+3). What are the coordinates of the final image
1) Following that order of transformations, let's start by rotating it 90º CCW
Rotating 90º CCW
Pre-Image Image
(5,-3) -------------------> (-3,5)
(x, -y) ------------------------- > (-y, x)
2) Performing a translation 4 units to the left, and 3 units up.
Translating
Pre-image Image
(-3,5) (-7, 8)
(x, y) ----------------------------------> (x-4, y+3)
3) Hence, the final coordinates of that point after those two transformations is (-7,8)
The equation C=54d+ 20 can be used to find the cost, c, in dollars, of renting
a car for a certain number of days, d. What is the rate of change of the cost in
dollars with respect to the number of days?
A.30
A $2.70 per day
B
$20.00 per day
с
$54.00 per day
D$74.00 per day
Answer:
C. $54.00 per day.
Step-by-step explanation:
54 is the amount you will pay every day so the rate of change will be $54.00 per day.
-[-/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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You have the option to deposit $6500 into an account that pays 3.25% interest, compounded quarterly OR to deposit your money into an account that pays the same interest rate but compounds continuously. Which option yields you more money after 5 years and how much more?
OPTIONS:
Compounded quarterly, $4809.13
Compounded quarterly, $416.23
Compounded continuously, $5.02
Compounded continuously, $878.52
9514 1404 393
Answer:
Compounded continuously, $5,02
Step-by-step explanation:
Compounded quarterly, the amount in the account will be ...
A = 6500(1 +.0325/4)^(4·5) ≈ 7641.89
Compounded continuously, the amount in the account will be ...
A = 6500e^(.0325·5) = 7646.91
So, the account compounding continuously has the higher yield, by the amount of ...
$7646.91 -7641.89 = $5.02
Hamid bought 4.5 pounds of strawberries. The total cost of the strawberries was 8.10. How much did each pound of strawberries cost?
Answer:
1.80 per pound of strawberriesStep-by-step explanation:
8.10 / 4.5 pounds = 1.80 per pound of strawberries
Answer:
im pretty sure its D hope this helps
5.(x-3)= please help
Step-by-step explanation:
5(x-3) = 0
5x-15=0
5x=15
x=15/5
x=3
i think you added the dot after 5 by mistake so yes this is how i could solve
A. 58
B. 110
C. 45
D. 51
Answer:
A. 58
Step-by-step explanation:
70° + m<3 + 52° = 180°
m<3 = 58°
Answer:
A. 58°
Step-by-step explanation:
here's your solution
==> 70° + 52° + angle 3 = 180°. [linear pair]
==> angle 3 + 122° = 180°
==> angle 3 = 180° - 122°
==> angle 3 = 58°
hope it helps
I need help fast plss
The measures of the angles are ∠1 = 127°, ∠2 = 53°, ∠3 = 127°, ∠4 = 37°, ∠5 = 53°, ∠6 = 90°, ∠7 = 37°, ∠8 = 143°, ∠9 = 37° and ∠10 = 143°
Finding the measures of the anglesFrom the question, we have the following parameters that can be used in our computation:
The transversal lines and the other lines
So, we have
∠1 = 180 - 53
Evaluate
∠1 = 127°
Also, we have
∠5 = 53°
By vertical angles, we have
∠2 = 53°
∠3 = 127°
Next, we have
∠4 = 127 - 90°
∠4 = 37°
Solving further, we have
∠6 = 90°
By corresponding angles, we have
∠7 = 37°
∠9 = 180 - 90 - 53°
∠9 = 37°
∠10 = 90 + 53°
∠10 = 143°
∠8 = 143°
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PLS HELP ME RN I AM FAILING AND NEED HELP ITS PYTHAGOREAN THEOREM
Answer:
9.89949 or 9.9
Step-by-step explanation:
7^2 + 7^2 = c^2
49+49=98
square root of 98 = 9.89949
please answer
12a=6a+24
Answer:
a=4
Step-by-step explanation:
Hope this helps! Plz give brainliest!
Answer:
Subtract 6a6a from both sides.
12a-6a=24
12a−6a=24
2 Simplify 12a-6a12a−6a to 6a6a.
6a=24
6a=24
3 Divide both sides by 66.
a=\frac{24}{6}
a=
6
24
4 Simplify \frac{24}{6}
6
24
to 44.
a=4
a=4
Step-by-step explanation:
Please answer shsjsjsnenen
Answer:
A.20%
hope this helped:D
Ken is watching a movie. the movie is 1 hour and 34 minutes long. he watched the movie for 27 minutes already. how many minutes does he have until the movie is over?
Answer:
67 minutes
Step-by-step explanation:
(1hour = 60 minutes)
60 + 34 = 94 minutes
94 - 27 = 67 minutes left
(67min = 1hour 7min)
2. Below are the graphs of y = |x| and y = |x| + 11. How are the graphs related?
10
10-8
10
a. The two graphs are the same.
b. The graphs have the same y-intercept. The second graph is steeper than y = |xl.
C. The graphs have the same shape. The y-intercept of y = x is 0 and the x-intercept of the
second graph is 11.
d. The graphs have the same shape. The y-intercept of y = x is 0 and the y-intercept of the
second graph is 11.
Which equation shows a proportional relationship between x and y?
A. y = 9
B. y = 3x + 1
C. y = −3x − 2
D. y = 4x
NO LINKS
B. y=3x+1
Step-by-step explanation:
#Hopeee Itttt Helppsssssss!
A proportion relationship is a direct relationship between two variables thus y = 4x will be the proportional relationship between x and y thus option (D) will be correct.
What are the ratio and proportion?The ratio is the division of the two numbers.
Proportion is the relation of a variable with another. It could be direct or inverse.
A proportional relationship is given as,
A ∝ B
Removing proportionality
A = kB
Here, k is the constant of proportionality.
As per the given in last option,
y = 4x
x = (1/4)y
Removing constant.
x ∝ y
Hence "A proportion relationship is a direct relationship between two variables thus y = 4x will be the proportional relationship between x and y".
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Paige had 18 dollars. She spent 6 of these dollars
Answer:
It would be 18-6 = 12
Step-by-step explanation:
Answer:
C, E
Step-by-step explanation:
We are looking for 12 dollars as a result of her spending 6 of 18.
A = 24
B = -12
C = 12 CORRECT
D = -24
E = 12 CORRECT
F = -12
A snack company can pack 12 granola bars in a box. How many boxes are needed for 600 granola bars?
A.5
B.720
C.50
D.7, 200
Answer:
The Answer is C. 50
Step-by-step explanation:
To pack 600 granola bars, 50 boxes are needed.
The correct option is C.
To determine how many boxes are needed for 600 granola bars, we divide the total number of granola bars by the number of granola bars that can be packed in one box.
Number of boxes = Total granola bars / Granola bars per box
Number of boxes = 600 / 12
Number of boxes = 50
So, 50 boxes are needed to pack 600 granola bars.
The correct answer is option C: 50.
To confirm this, let's see the reasoning: Since each box can hold 12 granola bars, to get 600 granola bars, you need to divide 600 by 12. The result is 50, which means you need 50 boxes to pack 600 granola bars. Option C, with 50, is the correct answer. Options A, B, and D do not provide the accurate number of boxes required for 600 granola bars.
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7. What polynomial remains after the greatest common factor is factored out of the
polynomial 16mºn-12m'n* + 20m?n??
A 4m?n - 3mn? + 5
B 16m?n - 12mn² + 20
с
4mºna - 3m2n3 + 5mn
D 16m?n? - 12m?n? + 20mn
Answer:the answer is A
Step-by-step explanation:
Solve for n.
-53 + n = -28
A. -35
B. 25
C. -25
D. 35
Answer:
B. 25
Just use Photomath in those questions
Answer:
B) N=25
Step-by-step explanation:
the distance between -53 and -28 is positive 25
6. Rewrite each of the following expressions without roots by using fractional exponents.
Please help! I have tried to look it up everywhere and I don’t understand how to do it. Anything helps!!
Answer:
A. x¹/²
B. x¹/³
C. x¹/⁷
D. x⁵/²
E. x¹¹/³
F. 1 / x¹/⁴
G. 1 / x²/³
H. 1 / x⁹/²
Step-by-step explanation:
A. √x
Recall
√M = M¹/²
Therefore,
√x = x¹/²
B. ³√x
Recall
ⁿ√M = M¹/ⁿ
Therefore,
³√x = x¹/³
C. ⁷√x
Recall
ⁿ√M = M¹/ⁿ
Therefore,
⁷√x = x¹/⁷
D. √x⁵
Recall
√Mⁿ = Mⁿ/²
Therefore,
√x⁵ = x⁵/²
E. ³√x¹¹
Recall
ⁿ√Mᵃ = Mᵃ/ⁿ
Therefore,
³√x¹¹ = x¹¹/³
F. 1 / ⁴√x
Recall
ⁿ√M = M¹/ⁿ
Therefore,
1 / ⁴√x = 1 / x¹/⁴
G. 1 / ³√x²
Recall
ⁿ√Mᵃ = Mᵃ/ⁿ
Therefore,
1 / ³√x² = 1 / x²/³
H. 1 / √x⁹
Recall
√Mⁿ = Mⁿ/²
Therefore,
1 / √x⁹ = 1 / x⁹/²
Consider the points below. P(θ),−4,0),Q(5,1,−2),R(6,4,1) (a) Find a nonzero vector orthogonal to the plane through the points P,Q, and R. (b) Find the area of the triangle PQR.
(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.
(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:
PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)
PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)
Taking the cross product of PQ and PR, we have:
n = PQ x PR = (9, 1, -2) x (10, 4, 1)
Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.
(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:
|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)
Evaluating the magnitude gives |n| = \(\sqrt\)(811).
The area of triangle PQR is then:
Area = |n| / 2 = \(\sqrt\)(811) / 2.
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Compound i street at what was an investment made that obtains $136. 85 in interest compounded quarterly on $320 over four years
Wait just ignore this.
Step-by-step explanation:
CI = p(r/100 + 1)^t - p
136.85 = 320(r/100 +1)^4 - 320
320(r/100 + 1)^4 = 456.85
(r/100 + 1)^4 = 456.85/320 = 1.42765625
(r/100+1) = 4th root of 1.42765625 = 1. 093089979
R/100 = 0.93089979
R = 93.0 %
Working alone, steve can complete a task in 6 hours. working simultaneously at their respective constant rates, he and mike can complete the same task in 4 hours. how long will it take mike working alone to complete the task
Answer:
It would take him 4 hrs.
Step-by-step explanation:
Hope this helps!
Time taken by mike alone to finish the Task is 12 hours.
steve can complete a task in 6 hours.
he and mike can complete the same task in 4 hours.
What is rate of change?
Rate of change is defined as the change in value with rest to the time is called rate of change.
Here,
Rate of steve finishing task per hour = 1/6
Rate at which both finishes the task per hour = 1/4
Rate at which mike finishes the task per hour = M
now
M = 1/4-1/6
M = 3-2/12
M = 1/12
here, mike finishes his task at 12 hours
Thus, Time taken by mike alone to finish the Task is 12 hours.
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Find the value of x
in the figure below
Answer:
x = 29
Step-by-step explanation:
I think this because they give you 78 degrees. The angle across from it (3x - 9) must equal 78 degrees as well. So solve as (3x - 9) = 78. 78 + 9 is 87. 87 divided by 3 is 29.
Hope it helps and is correct!
at the 1% significance level, do the data provide sufficient evidence to conclude that the mean wing lengths for the two subspecies are different? (note: the mean and standard deviation for the migratory-bird data are 82.1 mm and 1.501 mm, respectively, and that for the nonmigratory-bird data are 84.9 mm and 1.698 mm, respectively.)
We need to perform a two-sample t-test. The null hypothesis is that the mean wing lengths for the two subspecies are equal, and the alternative hypothesis is that they are different. We will use a significance level of 0.01 (1%).
The formula for the two-sample t-test is:
t = (x1 - x2) / (sqrt(s1^2/n1 + s2^2/n2))
Where:
x1 and x2 are the sample means
s1 and s2 are the sample standard deviations
n1 and n2 are the sample sizes
Plugging in the values given in the question, we get:
t = (82.1 - 84.9) / (sqrt(1.501^2/30 + 1.698^2/30))
t = -5.16
Looking up the critical value for t with 58 degrees of freedom (30 + 30 - 2), and a significance level of 0.01, we get:
t_crit = 2.66
Since our calculated t-value (-5.16) is less than the critical t-value (-2.66), we reject the null hypothesis and conclude that there is sufficient evidence to suggest that the mean wing lengths for the two subspecies are different at the 1% significance level. In other words, the difference in mean wing lengths is statistically significant.
To determine if there's sufficient evidence to conclude that the mean wing lengths of the two subspecies are different at the 1% significance level, you can conduct a two-sample t-test.
Given data:
- Migratory birds: Mean = 82.1 mm, Standard Deviation (SD) = 1.501 mm
- Non-migratory birds: Mean = 84.9 mm, Standard Deviation (SD) = 1.698 mm
Steps to perform a two-sample t-test:
1. State the null hypothesis (H0) and the alternative hypothesis (H1).
H0: The mean wing lengths of the two subspecies are equal.
H1: The mean wing lengths of the two subspecies are different.
2. Choose the significance level, which is given as 1% or 0.01.
3. Calculate the t-statistic and degrees of freedom (df) using the given data.
4. Determine the critical t-value for the given significance level and df.
5. Compare the t-statistic to the critical t-value to make a conclusion.
If the calculated t-statistic is greater than the critical t-value, you would reject the null hypothesis and conclude that there is sufficient evidence to suggest that the mean wing lengths of the two subspecies are different at the 1% significance level. If not, you would fail to reject the null hypothesis and not have enough evidence to support the difference in mean wing lengths.
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is this relation a function? justify your answer.
please help!
Answer:
C
Step-by-step explanation:
No, because you can not use the same X more than once. It has to pass the vertical line test. So it'll be option C
how do you graph data?
Suppose that 60% of the students do homework regularly. It is also known that 80% of students who had been doing homework regularly, end up doing well in the course. Only 20% of students who had not been doing homework regularly end up doing well in the course. Given that a student did well in the course, what is the probability that the student had been doing homework regularly
Answer:
its A im really smart and because im smart
I need help ASAP pleaseeeeeee!
Hi!
The answer is one
When you solve this system of equations you get an answer for y and an answer for x.
It looks kinda like this: x=3, y=-4
Thus, your answer is one solution
I hope this helps!
Feel free to give brainliest if you think I deserve it!
Evaluate the expression for x = 3, y = 3, and z = 5.
12z-3y
4z-z
Enter your answer in the box.
To answer this question, simply plug in the values that represent the variables into the respective equations.
If z=5 and y =3, then 12z - 3y can be written as:
(12 × 5) - (3 × 3)
(60) - (9)
= 51
If z = 5, then the expression 4z -z can be written as:
(4 × 5) - 5
20-5
= 15
51 and 15 are your answers
I need help with math identify the vertex of the parabola
The vertex of a parabola is the extreme point (maximum or minimum, depending on the the sign of the quadratic coefficient).
In the graph, we can see that the x-coordinate of the vertex is x=-1 and the y-coordinate is y=3.
Then, we can write the coordinates of the vertex as (h,k) = (-1,3)
Answer: The coordinates of the vertex are (-1,3)