Answer:
16.32 N11.38°E km/h
Step-by-step explanation:
16.0∠0° +3.22∠90° ⇒ (x, y) = (3.22, 16.0) ⇒ (r, θ) =
(3.22, 16.0) ⇒ (r, θ) = (√(3.22² +16²), arctan(3.22/16)*) = (16.32, 11.38°)
The woman's velocity is 16.32 km/h in a direction that is 11.38° east of north.
_____
This is her velocity in any stationary frame of reference.
____
* We have used North as the reference for the angle, measured CW.
The wheels on a bike have a diameter of twenty six inches. How many full revolutions will the wheels need to make to travel a 100 feet?
The number of revolutions will the wheels need to make to travel 100 feet will be 15.
Given that:
Diameter, d = 26 inches
Let d be the diameter of the circle. The circumference of the circle will be given as,
C = πd units
The number of revolutions will the wheels need to make to travel 100 feet will be given as,
100 = n x 3.14 x (26 / 12)
100 = 6.803 n
n = 14.6986
n ≈ 15 revolution
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FAST before Mod's delete this. Plz help me share this link as I have no social media. Copy it to your clipboard fast Ctrl + C. ::(( Copy fast: gofundme. com /f /i039m-sorry-for-the-wrong-things-i-did ? utm_ source = customer & utm_medium = copy_link & utm_campaign = p_cf+ share- flow-1 Plz don't report. Plz :( =( =(
Answer:
then get social media
Step-by-step explanation:
You go shopping and buy a gift for a friend, but on the day before you're going to give it to him, you notice that he already has exactly what you bought him! You take the gift back to the mall, but you lost your receipt. The cashier says that you can only get back cash for the lowest amount that the item sold for. The item was originally $50 and sales tax in your area is 9.5%. It went on sale on four different occasions. Keep in mind that when an item goes on sale, it is taxed first and then the discount is taken. The first sale was 10% off. The second sale was no tax. The third sale was buy 3, get 1 half off. The last one was buy anything over $40 and get a $5 gift card. How much cash will you get back? Activate Windove Go to Settings to active
The total cashback you will get back is\($ 49.75}\)
The Given, original price \($=\$ 50$\) Sales fax\($=9.5 \%$\\\)
For first sale
\(\begin{aligned}\text { Price of item } & =\$ 50 \\\text { sales tax } & =+\$ 4.75 \\10 \% \text { discount } & =\frac{-\$ 5}{\$ 49.75}\end{aligned}\)
A sale is a transaction between two or more parties that involves the exchange of tangible or intangible goods, services, or assets for money. In some cases, assets other than cash are paid to a seller.
In the financial markets, a sale can also refer to an agreement that a buyer and seller make regarding a financial security, its price, and specific arrangements for its delivery.
Regardless of the context, a sale is essentially a contract between a seller of a particular good or service and a buyer who is willing to pay for that good or service.
for second Sale:-
There is no tax
So price\($=\$ 50$\)
For third sale: - Buy 3 and get 1 half of
\(\begin{aligned}\text { Price }=50 \times 3 & =\$ 150 \\\text { Sales tax }= & +\$ 14.25 \\\text { Discount } & =\frac{-\$ 25}{\$ 139.25}\end{aligned}\)
So, price of 1 piece \($=\$ 46.42$\)
for fourth Sale; - Buy anything over \(\$40\) and get \($\$ 5$\) gift card.
\(& \text { Price }=\$ 50 \\& \text { sales tax }=+\$ 4.75 \\& \text { Gift card }=\frac{-\$ 5}{\$ 49.75}\end{aligned}\)
Therefore, the cashback you will get back is \($ 49.75}\)
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If f is a polynomial, then, as x approaches 0, the right-hand limit exists and is equal to the left-hand limit.
Choose the correct answer below.
A.The statement is always true. If f(x) is a polynomial, then
ModifyingBelow lim With x right arrow c f left parenthesis x right parenthesislimx→cf(x)equals=f(c).
Because
ModifyingBelow lim With x right arrow c f left parenthesis x right parenthesislimx→cf(x)equals=L
if and only if
ModifyingBelow lim With x right arrow c Superscript minus f left parenthesis x right parenthesislimx→c−f(x)equals=ModifyingBelow lim With x right arrow c Superscript plus f left parenthesis x right parenthesislimx→c+f(x)equals=L,
it follows by letting
cequals=0
that, as x approaches 0, the right-hand limit exists and is equal to the left-hand limit.
B.The statement is not always true. For example,
ModifyingBelow lim With x right arrow 0 Superscript minus left parenthesis x minus 1 right parenthesislimx→0−(x−1)equals=minus−1
but
ModifyingBelow lim With x right arrow 0 Superscript plus left parenthesis x minus 1 right parenthesislimx→0+(x−1)equals=1.
C.The statement is not always true. For example,
ModifyingBelow lim With x right arrow 0 Superscript minus left parenthesis x squared minus 3 x plus 1 right parenthesislimx→0−x2−3x+1
does not exist.
D.The statement is always true. If f(x) is a polynomial, then
ModifyingBelow lim With x right arrow c f left parenthesis x right parenthesislimx→cf(x)equals=c.
Because
ModifyingBelow lim With x right arrow c f left parenthesis x right parenthesislimx→cf(x)equals=L
if and only if
ModifyingBelow lim With x right arrow c Superscript minus f left parenthesis x right parenthesislimx→c−f(x)equals=ModifyingBelow lim With x right arrow c Superscript plus f left parenthesis x right parenthesislimx→c+f(x)equals=L,
it follows by letting
cequals=0
that, as x approaches 0, the right-hand limit exists and is equal to the left-hand limit.
The correct answer is A. The statement is always true. If f(x) is a polynomial, then as x approaches 0, the right-hand limit exists and is equal to the left-hand limit.
For a polynomial function f(x), as x approaches a specific value c, the limit of f(x) as x approaches c is equal to f(c). This property holds true for any value of c within the domain of the polynomial.
In the given question, we are considering the case where c is equal to 0. So, the limit of f(x) as x approaches 0 is equal to f(0). Since f is a polynomial, it can be written as f(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + ... + a₁x + a₀, where a₀, a₁, ..., aₙ are coefficients.
When x approaches 0, all the terms in the polynomial, except for a₀, become 0. Therefore, the limit of f(x) as x approaches 0 is equal to f(0) = a₀.
Hence, the right-hand limit (as x approaches 0⁺) and the left-hand limit (as x approaches 0⁻) both exist and are equal to f(0) = a₀. Therefore, the statement is true for polynomial functions.
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Find the value of y somebody please help!!!
The measure of length of y of the triangle is y = 46.44486 units
Given data ,
Let the first triangle be represented as ΔABC
Now , let the second triangle be ΔABD
And , y = a + b
where from the trigonometric relations , we get
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
So , sin 30° = AB / 34
AB = 17 units
Now , from the trigonometric relation , we get
tan 45° = AB / b
b = AB / 1
b = AB
And , cos 30° = a / 34
a = 29.44486
So , y = 29.44486 + 17
y = 46.44486
Hence , the length is y = 46.44486 units
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On a recent utility bill, the water/sewer/garbage portion of the bill was $94.41. This consisted of 72% of the total bill. To the nearest cent, what was the total amount of the utility bill?
Answer: We can start by using the information given to find the total bill amount.
If the water/sewer/garbage portion of the bill is 72% of the total bill, then the remaining 28% of the bill must be for other utilities. We can use a proportion to set up the equation:
72/100 = 94.41/x
where x is the total bill amount.
We can cross-multiply and solve for x:
72x = 100 * 94.41
x = (100 * 94.41) / 72
x = 123.84
To the nearest cent, the total amount of the utility bill was $123.84.
Step-by-step explanation:
24687abc is divisible by 125. what is the sum of the digits of all possible values of ‘a’?
To find the sum of the digits of all possible values of 'a', we need to add the sum of the digits of each value of abc. The sum of the digits for all possible values of a would be 8 + 7 + 15 + ... + 27, which can be calculated further.
The divisibility rule for 125 states that a number is divisible by 125 if the last three digits are divisible by 125. In the case of 24687abc, we know that the last three digits (abc) must be divisible by 125. This means that abc must be a multiple of 125. The smallest multiple of 125 is 125, and the largest is 999, so the possible values of abc are 125, 250, 375, 500, ..., 999.
The sum of the digits of each possible value of a can be calculated by adding the individual digits of each value of abc. For example, for the value 125, the sum of the digits is 1 + 2 + 5 = 8. For the value 250, the sum of the digits is 2 + 5 + 0 = 7. For the value 375, the sum of the digits is 3 + 7 + 5 = 15.
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Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
6
Step-by-step explanation:
f(6) = -6 this is the value when the x value is 6
g(5) = -5 this is the value when the x value is 5
4 * f(6) -6*g(5)
4*-6 - 6* -5
-24 + 30
6
Answer:
6
_____________________
show that any positive odd integers is of the form 4q+1 or 4q+3, where q is some integers.
Answer:
Step-by-step explanation:
answer for "y is 7 less than the product of 6 and x"
< = > please help me please i need help
Answer:
where are the options?
Step-by-step explanation:
Pls help as fast as possible
Answer:
452.389342 cubic inches
Step-by-step explanation:
The volume of a sphere is calculated using the formula V = 4/3 pi r^3
to determine the radius, you can notice that 4 spheres take up 24 in in length. This means that the radius of 1 sphere is 24/4/2 = 3 inches.
from there we plug and play: V = 4/3 * pi * 3^3 = 113.097336 cubic inches.
Note that this is only the volume of 1 sphere, so we multiply by 4
and we get 452.389342 cubic inches
Answer:
452.4
Step-by-step explanation:
Radius of each sphere: 24/4/2=3
Formula for volume: (4pir^3)/3
Formula for 4 spheres: 4 times (4pir^3)/3
Substitute 3 for r
1) g(n)= 3n - 4; Find g(-3)
Answer:
g(-3) = -13
Step-by-step explanation:
Plug in -3 for n in the equation:
g(n) = 3n - 4
g(-3) = 3(-3) - 4
Remember to follow PEMDAS. First, multiply, then subtract:
g(-3) = 3 * -3 = -9
g(-3) = -9 - 4
g(-3) = -13
-13 is your answer for g(-3).
~
G(-3) means to replace n with -3:
3n -4 = 3(-3) -4 = -9-4 = -13
The answer is -13
Help idk the answer and it’s due tomorrow
Answer:
C. 14%
Step-by-step explanation:
We know that Dallas's wage increased from $9 to $10.25.
Let's say the percent increase is x. Then we write the expression:
9 + x * 9 = 10.25
Divide by 9 from both sides:
1 + x = 10.25 / 9 ≈ 1.14
Subtract 1 from both sides:
x = 1.14 - 1 = 0.14
Since x is a percent, that means x = k/100, where k is an integer. So we have:
x = k/100 = 0.14
Multiply both sides by 100:
k = 0.14 * 100 = 14%
The answer is thus C.
~ an aesthetics lover
Answer:
C.14%Step-by-step explanation:
\(Original\:price = \$9\\New\:price =\$10.25\\\\Increase = 10.25-9\\Increase = 1.25\\\\Increase \: \% = \frac{Increase}{Original \:price} \:\times 100\\\\= \frac{1.25}{9} \times 100\\\\= \frac{125}{9}\\ \\= 13.888\\= 14\%\)
Write the given algebraic expression as a function of {eq}\, \theta\, {/eq} where {eq}\, 0 \lt \theta \lt \dfrac{\pi}{2} \, {/eq} by making the substitution.
{eq}\qquad \sqrt{x^2 - 81},\, {/eq} substitute {eq}\, x = 9\sec\theta\, {/eq}
We can write the given algebraic expression as a function of \(\theta\) as: \(f(\theta) = 9|\tan\theta|\)
We are given the algebraic expression:
\(\sqrt{x^2 - 81}\)
We are also given the substitution:
\(x = 9\sec\theta\)
We can substitute x with \(9\sec\theta\) in the given expression:
\(\sqrt{x^2 - 81} = \sqrt{(9\sec\theta)^2 - 81}\)
Simplifying the expression inside the square root:
\(\sqrt{(9\sec\theta)^2 - 81} = \sqrt{81\sec^2\theta - 81} = \sqrt{81(\sec^2\theta - 1)}\)
Recall that \(\sec^2\theta - 1 = \tan^2\theta .\)
Substituting this into the expression:
\(\sqrt{81(\sec^2\theta - 1)} = \sqrt{81\tan^2\theta} = 9|\tan\theta|\)
Finally, we can write the given algebraic expression as a function of \(\theta\) as:
\(f(\theta) = 9|\tan\theta|\)
Note that the absolute value is used because the substitution \(x = 9\sec\theta\) only holds for \(0 < \theta < \frac{\pi}{2}\), but \(\tan\theta\) can be negative in the second quadrant. The absolute value ensures that the function is always non-negative.
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in what method of periodization might an athlete perform five sets of five repetitions at 85% of 1rm on the first day of the week, five sets of fourteen repetitions at 62.5% of 1rm on the next training day, and five sets of two repetitions at 90% of 1rm on the last training day of the week? group of answer choices traditional periodization undulating periodization or nonlinear periodization linear periodization
The method of periodization that an athlete performs is traditional periodization method.
Given,
An athlete perform five sets of five repetitions at 90% of 1rm on the first day of the week, five sets of fourteen repetitions at 85% of 1rm on the next training day, and five sets of two repetitions at 62.5%of 1rm on the last training day of the week;
Here,
The example above, where the percentage of one-repetition maximum (1RM) decreases as the training day progresses, is essentially a traditional periodization method.
As a result, during the course of the training cycle, the athletes' completed work gradually grows. As a result, as the load increases over time, there is a corresponding decrease in volume.
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Let A and B be events with P(A) 0.3 and P(AUB) 0.7. a. For what value of P(B) will A and B be mutually exclusive? b. For what value of P(B) will A and B be W1 independent?
The value of P(B) when A and B are mutually exclusive is 0.4 and when A and B are independent is zero.
Mutually exclusive events are those events which do not occur at the same time. For a mutually exclusive event we have the formula,
P(A∪B) = P(A) + P(B) - P(A∩B)
Here P(A∩B) is equal to zero and P(A) = 0.3 and P(A∪B) = 0.7
Now when we substitute the values we get
0.7 = 0.3 + P(B)
=> P(B) = 0.7 - 0.3
=> P(B) = 0.4
Now, if the events are independent then we have the formula
P(A∩B) = P(A)×P(B)
Since we already know that P(A∩B) = 0 then
0 = 0.3×P(B)
=> P(B) = 0 which means that the event will not take place.
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Determine the perimeter of the right triangle shown. Round your final answer to the nearest whole number, if necessary.v
A: 5 units
B:12 units
C:13 units
D: 30 units
Answer:
Option D. 30 units
Step-by-step explanation:
The two sides of the right triangle will be 5 and 12 units as we can see from the diagram
Now to find the hypotenuse, we will use the Pythagoras Theorem
5² + 12² = Hypotenuse²
25 + 144 = Hypotenuse²
169 = Hypotenuse²
So,
Hypotenuse = root169 = 13
Perimeter of Right triangle = sum of all sides
Perimeter of Right triangle = 5 + 12 + 13
Perimeter Of Right triangle = 5 + 12 + 13 = 30
Option D. 30 units is the correct answer
Answer:
30
Step-by-step explanation:
See the attached worksheet. The perimeter of the triangle is the sum of its three sides, labelled a, b, and c.
a and b can be calculated from the graph, as shown on the worksheet.
Once a and b are know, use the ZPythagorean Theorem to find c, which is 13.
Finially, add the sides a, b, and c: 5 + 12 + 13 = 30, the perimeter.
Given: BD ⊥ BC ; ∠ABD ≅ ∠DBE Prove: ∠ABD and ∠EBC are complementary
∠ABD and ∠EBC are complementary by the definition of complementary angles.
Given that in a figure, BD ⊥ BC ; ∠ABD ≅ ∠DBE.
We need to prove ∠ABD and ∠EBC are complementary.
BD ⊥ BC = given
∠DBC = 90° by the definition of perpendiculars.
∠ABD ≅ ∠DBE = given
∴ ∠ABD = ∠DBE by the definition of congruence.
Using the angles addition postulate,
∠EBC + ∠DBE = 90°
Now, replace ∠DBE by ∠ABD, we get,
∠EBC + ∠ABD = 90°
Hence ∠ABD and ∠EBC are complementary by the definition of complementary angles.
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The complete question is given below.
Which expression is equivalent to (2 1/2x - 7) + (-1 1/4x + 5)
Answer:
-1/4x-2
Step-by-step explanation:
Let's combine the like terms!
2 1/2 is equal to 5/2, so we can express the expression like this
(5/2x-11/4x)+(-7+5)
If we solve the first parentheses, we get 10/4x-11/4x=-1/4x
The second parentheses are obviously -2
Therefore, the answer is -1/4x-2.
Feel free to tell me if I did anything wrong! :)
A rectangle is placed around a as shown below. The length of the rectangle is 16 ft. Find the area of the shaded region Use the value 3.14 for aand do not round your answer. Be sure to include the correct unit in your answer
The value of 16 ft is the diameter of the semicircle.
That means the radius is 8 ft, and this is also the measure of the smaller side of the rectangle.
First, let's calculate the area of the rectangle:
Now, let's calculate the area of the semicircle:
So the area of the shaded region is:
help plsss!!!
For which interval is the function constant?
(2, 6)
(6, ∞)
(−∞, 0)
(0, 2)
9514 1404 393
Answer:
(a) (2, 6)
Step-by-step explanation:
The function is constant where its graph is horizontal. That portion of the graph lies between x=2 and x=6. In interval notation, the function is constant in the interval (2, 6).
What is the amount of simple interest after 3 years if $250 was deposited at a 4% interest rate?
Answer:
$290
Step-by-step explanation:
250 * 4% (Or 0.04) = $10
$10 is interest per year
$10 * 4 years = $40
$250 + $40 = $290
Triangle XYZ is similar to triangle JKL.
triangle XYZ with side XY labeled 8.7, side YZ labeled 7.8, and side ZX labeled 8.2 and triangle JKL with side JK labeled 12.18
Determine the length of side LJ.
11.48
11.59
12.80
12.92
The correct answer among the choices provided is A. 11.48.
How to solveGiven that side XY of triangle XYZ corresponds to side JK of triangle JKL, we can set up the following proportion:
XY/JK = YZ/LJ
Substituting the given values:
8.7 / 12.18 = 7.8 / LJ
We solve this for LJ:
LJ = (7.8 * 12.18) / 8.7
Calculating that gives us:
LJ ≈ 11.48
So, the correct answer among the choices provided is A. 11.48.
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What is 0.931 rounded to the nearest tenth?
Answer: 0.9
Step-by-step explanation:
Answer:
0.9 I think. Im only in 6th grade and i think thats the answer.
If y varies directly as x and y= 64 when x=4 find x when y=48
Answer:
If y varies directly as x and y= 64 when x=4 find x when y=48
x=3
Noah and Gabriel are in the same English class. They have taken 6 quizzes so far. Find the measures of center for each of the students.
Noah’s scores: 84, 85, 85, 86, 90, 92
Total of 522
Gabriel’s scores: 82, 85, 86, 86, 90, 94
Total of 523
What are Noah’s mean, median, and mode?
87, 85, 85
What are Gabriel’s mean, median, and mode?
87, 85, 86
Answer:
Noah's center is 85 1/2 I believe
And Gabe's is 86 I think
AND WELCOME TO BRAINLY!
The lengths of manufactured nails are distributed normally, with a mean length of 6cm, which has a standard deviation of 2mm. what is the length for which 98% of the nails will be longer?
Answer:
The length for which 98% of the nails will be longer is approximately 6.466 cm.
Step-by-step explanation:
First, we need to convert the units of the standard deviation to centimeters, since the mean is also given in centimeters. 2 mm is equal to 0.2 cm.
Next, we need to find the z-score that corresponds to the 98th percentile. We can use a standard normal distribution table or calculator to find this value. The z-score corresponding to the 98th percentile is approximately 2.33.
Finally, we can use the formula for a z-score to find the length of nail corresponding to this z-score:
z = (x - μ) / σwhere:
z = 2.33μ = 6 cmσ = 0.2 cmSolving for x, we get:
2.33 = (x - 6) / 0.2x - 6 = 0.2 * 2.33x - 6 = 0.466x = 6.466Therefore, the length for which 98% of the nails will be longer is approximately 6.466 cm.
Two candidates were running for mayor. Luke earned more than half of the popular vote. Which of the following could be the percentage of votes he won?
A:34%
B:65%
C:22%
D:49%
Answer:
65% because 65 is more than half..And half is 50, 65 is more than 50
can someone help with this
The volume of the cylinder can be obtained from the calculation as 1356 \(cm^3\)
What is the volume of a cylinder?
We know that the volume of the cylinder is;
π (pi) is a mathematical constant approximately equal to 3.14159
r is the radius of the cylinder's base (the distance from the center to the edge of the circular base)
h is the height of the cylinder (the distance between the bases)
By substituting the appropriate values for the radius and height into the formula, you can calculate the volume of the cylinder.
V = π\(r^2\)h
V = 3.14 *\((12/2)^2\) * 12
h = 1356 \(cm^3\)
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