Answer:
0.6763154335
Step-by-step explanation:
because. 10%is the same as 10 over 100 .because percent means 100. so you say 100÷10=10. then you say 10×14.786. this is how I got the answer.
consider the following. x = sin(t), y = csc(t), 0 < t < ????/2 (a) eliminate the parameter to find a cartesian equation of the curve.
The cartesian equation of the curve defined by x = sin(t) and y = csc(t), 0 < t < π/2, is y = √(1 - x²).
To eliminate the parameter t, we can use the trigonometric identity
csc(t) = 1/sin(t).
Substituting this into the equation y = csc(t), we have y = 1/sin(t).
Rearranging the equation, we get sin(t) = 1/y. Now, we can substitute the expression for x from the equation x = sin(t) into this equation. This gives sin(t) = 1/y = x.
Taking the square of both sides, we have
sin²(t) = (1/y)²
= x².
Using the Pythagorean identity sin²(t) + cos²(t) = 1,
we can rewrite the equation as cos²(t) = 1 - x².
Since cos²(t) = 1 - sin²(t), we can substitute this into the equation to get
1 - sin²(t) = 1 - x².
Simplifying, we have sin²(t) = x².
Taking the square root of both sides, we get sin(t) = ±x.
Finally, substituting sin(t) with its expression x in the equation y = csc(t), we have y = 1/sin(t) = 1/(±x).
Simplifying further, we have y = ±(1/x).
Hence, the cartesian equation of the curve is y = ±(1/x), or equivalently,
y = √(1 - x²) for the positive root.
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The surface areas of to somewhere figures are 36 inches squared and 49 inches squared. If the volume of the similar figure is 640 inches cubed, what is the volume of the larger figure?
A) 1029in^3
B) 746in^3
C) 408in^3
D) 882in^3
Answer:
345
Step-by-step explanation:
Which equation represents the relationship between x and y?
Answer:
y=x+3
Step-by-step explanation:
The slope is 1 and the y-intercept is (0,3).
W
Tell whether -3 is a solution of this inequality:
Solution
Not a solution
Answer:
Hi, where's the question?
Helpp ASAP I’m timed I give Brainly things so hurry;)))
Answer: Its A
Step-by-step explanation: The square root of 88 is 9.3.... add 2/5 and you get 9.78083151 and its not rational
The price of a television was reduced $250 to $200. By the percentage was the price of the television reduced?
A. 20%
B. 25%
C. 80%
D. 50%
please help I'm not good at math!!
Answer:
B. 25%Step-by-step explanation:
The price decreased by 50, and that is 25% of 200.
Answer:
The answer is 20%
Step-by-step explanation:
I'm not amazing at percentages so this is what I did. Search up 20 percent of 250. Then it says 50. 250 minus 200 is 50, so the answer is 20%
I hope this helped and if it did I would appreciate it if you marked me brainliest.
thank you and have a nice day!
In terms of the δe values, which are the two expressions for the difference in internal energy between state a and state b? check all that apply. check all that apply. δeab=δe3+δe4 δeab=δe2+δe3 δeab=δe1+δe4 δeab=δe1−δe2 δeab=δe1+δe2 δeab=δe3−δe4 δeab=δe1+δe2+δe3+δe4
Complete Question
The complete question is shown on the first uploaded image
Answer:
The expression are
\(\Delta E = \Delta E _1 + \Delta E_2\)
and
\(\Delta E = \Delta E _3 + \Delta E_4\)
Step-by-step explanation:
Generally from the diagram the energy change from state A to state B is
\(.\ \ \Delta E_2 \ \ \ \ \ \ \ \ \Delta E_2 \\A \ \ \to \ \ \ C \ \ \ \to \ \ \ B\\\)
Also
\(.\ \ \Delta E_3 \ \ \ \ \ \ \ \ \Delta E_4 \\A \ \ \to \ \ \ D \ \ \ \to \ \ \ B\\\)
So two expressions for the difference in internal energy between state a and state b are
\(\Delta E = \Delta E _1 + \Delta E_2\)
and
\(\Delta E = \Delta E _3 + \Delta E_4\)
Find the arc length of AB if the
circumference of this circle is 187.
Answer:
π
Step-by-step explanation:
a circle contains 360° in total, so given it's circumference (lets say C),
the length of an arc with angle α is (α/360)*C
for our exanple, the length of arc AB, will be (20/360)*C
as C is given to be 18π cm, we can calculate:
Length(AB) = (20/360)*18π = π
(6, -3) which two
A. Y =-3x + 6
The equations which satisfy (6, -3) are: y = -5x + 27 and y = 2x - 15 (Option C and D)
How do i know which equation will result in (6, -3)?To know which equation will result in (6, -3), we shall determine the value of y in each equation since we know that x = 6. Details below:
For A
y = -3x + 6x = 6y = ?y = -3x + 6
y = -3(6) + 6
y = -18 + 6
y = 12
For B
y = 2x - 9x = 6y = ?y = 2x - 9
y = 2(6) - 9
y = 12 - 9
y = 3
For C
y = -5x + 27x = 6y = ?y = -5x + 27
y = -5(6) + 27
y = -30 + 27
y = -3
For D
y = 2x - 15x = 6y = ?y = 2x - 15
y = 2(6) - 15
y = 12 - 15
y = -3
For E
y = -4x + 27x = 6y = ?y = -4x + 27
y = -4(6) + 27
y = -24 + 27
y = 3
From the above, the equation that satisfy (6, -3) are:
Option C: y = -5x + 27Option D: y = 2x - 15Thus, the correct answer to the question is Option C and D
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5. (a) Let z = (-a + ai)(b +b√3i) where a and b are positive real numbers. Without using a calculator, determine arg z. (4 marks) (b) Determine the cube roots of 32√3+32i and sketch them together
(a) The argument of z is the angle formed by the complex number in the complex plane. In this case, arg z = 13π/12.
(b) These are the three cube roots of 32√3 + 32i. To sketch them together, plot the three points z1, z2, and z3 in the complex plane.
What is Cube root?Cube root of number is a value which when multiplied by itself thrice or three times produces the original value.
a) To find the argument (arg) of z = (-a + ai)(b + b√3i), we can express z in its polar form and calculate the argument from there.
Let's first convert the complex numbers -a + ai and b + b√3i to polar form:
a + ai = a(-1 + i) = a√2 \(e^{(i(3\pi/4))\)
b + b√3i = b(1 + √3i) = 2b \(e^{(i(\pi/3))\)
Now, multiplying these two complex numbers in polar form:
z = (- a + ai)(b + b√3i) = ab√2 \(e^{(i(3\pi/4)\)) \(e^{(i(\pi/3))\)
= ab√2 \(e^{(i(3\pi/4 + \pi/3))\)
= ab√2 \(e^{(i(13\pi/12))\)
The argument of z is the angle formed by the complex number in the complex plane. In this case, arg z = 13π/12.
b) To find the cube roots of 32√3 + 32i, we can express the number in polar form and use De Moivre's theorem.
Let's convert 32√3 + 32i to polar form:
r = √((32√3)² + 32²) = √(3072 + 1024) = √4096 = 64
θ = arctan(32√3/32) = π/3
The polar form of 32√3 + 32i is 64\(e^{(i\pi/3)\).
Now, to find the cube roots, we can use De Moivre's theorem:
\(z^{(1/3)} = r^{(1/3) }e^{(i\theta/3)}\)
For the cube roots, we have three possible values of k, where k = 0, 1, 2:
\(\rm z_1 = 64^{(1/3) }e^{(i\pi/9)} = 4 e^{(i\p/9)\)
\(\rm z_2 = 64^{(1/3)} e^{(i\pi/9 + 2\pi/3)) }= 4 e^{(i(7\pi/9))\)
\(\rm z_3 = 64^{(1/3) }e^{(i(\pi/9 + 4\pi/3)) }= 4 e^{(i(13\pi/9))}\)
These are the three cube roots of 32√3 + 32i. To sketch them together, plot the three points z1, z2, and z3 in the complex plane.
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The given graph represents the function f(x) = 2(5)*x
How will the appearance of the graph change if thed
value in the function is decreased, but remains greater
than 0?
Answer:
f(x) = 2(5)*x
y=(2)(5)x
Y=10x
Step-by-step explanation: is this steps help you
b) A rough estimate of the minerals in a country at the beginning of the 2001 was 300 million tons. Extraction in that year was 50 million tons. i) When will the reserves be exhausted if extraction is kept constant? ii) Suppose that due to the increasing depth of the mineral which translate to increasing cost of extraction, extraction declines every year by 15 percent. For how long will the mineral last?
This can be calculated by dividing the initial reserves of 300 million tonsThe year when the cumulative extraction reaches or exceeds 300 million tons will be the time when the mineral reserves are exhausted.
a) If the extraction of minerals is kept constant at 50 million tons per year, the reserves will be exhausted in 6 years. This can be calculated by dividing the initial reserves of 300 million tons by the annual extraction rate of 50 million tons.
b) If the extraction of minerals declines by 15 percent each year due to increasing extraction costs, we need to determine how long the mineral reserves will last.
To do this, we can calculate the cumulative extraction each year until it reaches or exceeds the initial reserves of 300 million tons. Assuming the extraction declines by 15 percent each year, we can calculate the extraction in each subsequent year and add it to the cumulative extraction from previous years. The year when the cumulative extraction reaches or exceeds 300 million tons will be the time when the mineral reserves are exhausted.
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if gradient of line a is 4, what is the gradient of the line perpendicular to a
Answer:
hope this correct -1/4...............
Help me respond this question.
The percentile rank of score 71 on the test is 26.7 and The score of the 60th percentile on the test is 84.
What is a percentile?The figure that a particular percentage falls within is referred to as the percentile. For instance, 80% of the kids in a group of 20 are shorter than you, and Ben is the fourth tallest.
Given:
58, 64, 66, 70, 71, 75, 77, 80, 84, 85, 87, 90, 93, 95, 96
Calculate the percentile of score 71 as shown below,
\(Percentile= n / N \times 100\)
Here, n is the number of scores below 71 and N is the total number of scores,
Percentile = 4 / 15 × 100
Percentile = 0.267 × 100
Percentile = 26.7 percentile
Therefore, the percentile rank of score 71 on the test is 26.7
(B)
Substitute the value in the formula given below,
60 = n / 15 × 100
n / 15 = 60 / 100
n = 0.6 × 15
n = 9
Thus, the 9th term here is 84,
Therefore, the score of the 60th percentile on the test is 84.
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What is the probability that a randomly selected airfare between these two cities will be more than $450?
The probability that a randomly selected airfare between these two cities will be more than $450 is 0.2033.
Given:
Mean (μ) = $387.20
Standard deviation (σ) = $68.50
To find the probability that a randomly selected airfare between Philadelphia and Los Angeles will be more than $450,
calculate the area under the normal distribution curve above the value of $450.
Step 1: Standardize the value of $450.
To standardize the value, we calculate the z-score using the formula:
z = (X - μ) / σ
z = ($450 - $387.20) / $68.50
z= 0.916
So, the area to the right of the z-score approximately equals 0.2033.
Therefore, the probability that a randomly selected airfare between these two cities will be more than $450 is 0.2033.
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The question attached here seems to be incomplete, the complete question is:
Suppose the round-trip airfare between Philadelphia and Los Angeles a month before the departure date follows the normal probability distribution with a mean of $387.20 and a standard deviation of $68.50. What is the probability that a randomly selected airfare between these two cities will be more than $450?
0.0788
0.1796
0.2033
0.3669
dividing radicals
Simplify
\(\mathbb{ANSWER:}\)
\(\sf \frac{-3-\sqrt{2} }{3\sqrt{17} }\)
\(\sf = \frac{-3-\sqrt{2} }{3\sqrt{17} } \cdot \frac{\sqrt{17} }{\sqrt{17} }\)
\(\sf = \boxed{\sf \frac{-3\sqrt{17} - \sqrt{34} }{51} }\)
Please ANSWER NOW, PLEASE HELP , for math 100 points!!!
Caution:-
Calculated approximate values as we can't use ruler in screen !
As
1/2in=4ft1in=8ft#1
Sides are
6in3in7in4inPerimeter=20in=20(8)=160ft
#2
Perimeter=2(2+1.5)=2(3.5)=7in=7(8)=56ft
#3
Width:-
2in2(8)16ftA deposit placed in an interest-earning account earning 8 percent a year will double in value in years. Multiple Cholce 6 8 9 72
The deposit placed in an interest-earning account earning 8 percent a year will double in value in 9 years.
To understand why, we can use the concept of the rule of 72. The rule of 72 is a useful rule of thumb that estimates the time it takes for an investment to double in value based on the interest rate. By dividing 72 by the interest rate, we can approximate the number of years required for doubling.
In this case, the interest rate is 8 percent. Applying the rule of 72, we divide 72 by 8, which gives us 9. Therefore, it would take approximately 9 years for the deposit to double in value.
The rule of 72 is a simplified approximation, and the exact time it takes for an investment to double will depend on the compounding frequency and the specific terms of the investment. However, for the purpose of this question, the closest option is 9 years, as calculated using the rule of 72.
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Use the information in the table to find the constant of
proportionality and write the equation.
The constant of proportionality is
5
The equation that represents this proportional
relationship is
v
10
12.5
The constant of proportionality for the given relationship is 5.
What is the value of the constant of proportionality in the given relationship and what is the equation that represents this relationship?The constant of proportionality represents the ratio between two variables in a proportional relationship. In this case, the constant of proportionality is 5, which means that one variable is 5 times greater than the other variable. To write the equation that represents this relationship, we can use the formula y = kx, where y is the dependent variable, x is the independent variable, and k is the constant of proportionality. In this case, the equation would be y = 5x, where y represents the value of the dependent variable and x represents the value of the independent variable.
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help please lol
Sandra is comparing gasoline prices at two different gas stations. At Exxon gas station, the equation c=2.80g represents the equation between the number of gasoline g and c, the total cost for the gas. At the second gas station Sunoco, the cost of 2.5 gallons of gasoline is $8.30, and the cost of 5 gallons of gasoline is $16.60. How much money, per gallon, would Sandra save by going to the less expensive gas station?
Answer:
letter d I am not sure about that
An animal shelter conducts an annual fundraising drive. The animal shelter must raise at least enough money to cover their annual rental of $2,500 and weekly expenses of $450. So far, the shelter has received a one-time donation of $125 and pledged donations of $680 per week. Which inequality can be used to find w, the number of weeks it can take for the shelter to meet the goal?
The inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is: w ≥ 10
To find the inequality that can be used to determine the number of weeks it can take for the animal shelter to meet its fundraising goal, we need to consider the total expenses and donations.
Let's break down the expenses and donations:
Expenses:
Annual rental = $2,500
Weekly expenses = $450
Donations:
One-time donation = $125
Pledged donations per week = $680
Let w represent the number of weeks it takes for the shelter to meet its goal.
Total expenses for w weeks = Annual rental + Weekly expenses * w
Total expenses = $2,500 + $450w
Total donations for w weeks = One-time donation + Pledged donations per week * w
Total donations = $125 + $680w
To meet the goal, the total donations must be greater than or equal to the total expenses. Therefore, the inequality is:
Total donations ≥ Total expenses
$125 + $680w ≥ $2,500 + $450w
Simplifying the inequality, we have:
$230w ≥ $2,375
Dividing both sides of the inequality by 230, we get:
w ≥ $2,375 / $230
Rounding the result to the nearest whole number, we have:
w ≥ 10
Therefore, the inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is:
w ≥ 10
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The value of digit 6 in the number 48.061
Answer:
Hundreth
Step-by-step explanation:
Multiply. Write your answer in simplest form. 5/7 x7/10
A. 5/10
B. 12/17
C. 1/2
D. 35/70
Answer:
5/10
Step-by-step explanation:
5/7 x 7/10
35/70
5/10
solve the equation by completing the square x^2-18x=19
Answer:
x = - 1 , x = 19
Step-by-step explanation:
x² - 18x = 19
to complete the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(- 9)x + 81 = 19 + 81
(x - 9)² = 100 ( take square root of both sides )
x - 9 = ± \(\sqrt{100}\) = ± 10 ( add 9 to both sides )
x = 9 ± 10
then
x = 9 - 10 = - 1
x = 9 + 10 = 19
R, S, and T are collinear. S is between R and T. RS =2w + 1, ST = w - 1, and RT = 18. Use the Segment Addition Postulate to slove for w. Then determine the lenght of RS.
R, S, and T are collinear . Then 13 is the length of RS.
What do collinear points mean?
Collinear points are those that are situated along a single or shared straight line. In Euclidean geometry, two or more points are said to be collinear if they are located on a line either near or far from one another.The question to know
RS + ST = RT
RS = w + 1 , ST = w - 1
RT = 18
2w + 1 + w - 1 = 18
3w = 18
w = 18/3
w = 6
RS = 2 * 6 + 1 = 13
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Find the value of the variable x. If your answer is not an integer, write it in simplest radical form with
the denominator rationalized.
Answer:}}
ok so it has to be between 30 or 90 {9
Step-by-step explanation:
If m<5=115°,what is the m<3?
The measure of angle 3 from the diagram is 115 degrees
Line and angles in geometryThe given figure is a line geometry. An angle is defined as the point where two lines meet.
Given that the measure of <5 is 115 degrees, the measure of <3 is calculated as shown below:
m<3 = m<5 = 115 degrees
This angles are equal since they are alternate exterior angles.
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if you select two pets from the store randomly, what is the probability that they are both the same species?
The probability that the two pets selected are of the same species is 0.2426 .
In the question ,
it is given that ,
the number of puppies in the pet store = 6
the number of kittens in the pet store = 9
the number of lizards in the pet store = 4
the number of snakes in the pet store = 5
total animals = 24
the probability of selecting 2 puppies = ⁶C₂/²⁴C₂
the probability of selecting 2 kittens = ⁹C₂/²⁴C₂
the probability of selecting 2 lizards = ⁴C₂/²⁴C₂
the probability of selecting 2 snakes = ⁵C₂/²⁴C₂
So , the required probability is
= ⁶C₂/²⁴C₂ + ⁹C₂/²⁴C₂ + ⁴C₂/²⁴C₂ + ⁵C₂/²⁴C₂
Simplifying further ,
we get ,
= 5/92 + 3/23 + 1/46 + 5/138
= 0.0543 + 0.1304 + 0.0217 + 0.0362
= 0.2426
Therefore , the required probability is 0.2426 .
The given question is incomplete , the complete question is
The pet store has 6 puppies , 9 kittens , 4 lizards and 5 snakes . if you select two pets from the store randomly, what is the probability that they are both the same species ?
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what is the price of a 3.08 nnual coupon bond with a face value of $1,000 and a maturity of 10 years? the market’s ytm on a comparable risk and term bond is 7.26hegg
The price of a 3.08% annual coupon bond with a face value of $1,000 and a maturity of 10 years, given a market yield to maturity (YTM) of 7.26%, can be calculated using the present value formula and the bond's cash flows.
To calculate the price of the bond, we need to discount the bond's cash flows to their present values. The bond pays an annual coupon of 3.08% of the face value, which is $1,000. This means that the bondholder will receive $30.80 in coupon payments every year for 10 years. At maturity, the bondholder will also receive the face value of $1,000.
To determine the present value of the bond's cash flows, we discount each cash flow by the market yield to maturity (YTM) of 7.26% per year. This YTM represents the market's required rate of return for bonds with similar risk and maturity.
Using financial calculations or a spreadsheet, we can calculate the present value of the bond's cash flows and sum them up to find the bond's price. The formula for calculating the price of a bond is:
Price = (Coupon payment / (1 + YTM)¹) + (Coupon payment / (1 + YTM)²) + ... + (Coupon payment / (1 + YTM)ⁿ) + (Face value / (1 + YTM)ⁿ)
In this case, the bond has a maturity of 10 years, so we discount the coupon payments and face value for each year using the YTM of 7.26%. After calculating the present value for each cash flow, we sum them up to find the bond's price.
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A pair of standard since dice are rolled. Find the probability of rolling a sum of 12 with these dice.
P(D1 + D2 = 12) = ------
The probability of rolling a sum of 12 with these dice.
P(D1 + D2 = 12) = 1/36.
When two standard six-sided dice are rolled, there are 36 conceivable results (6 x 6 = 36). To calculate the likelihood of rolling an entirety of 12, we ought to decide how numerous of these 36 conceivable results result in a sum of 12.
As it were a way to induce an entirety of 12 is to roll two sixes, so there's as it were one conceivable result that comes about in a whole of 12. Hence, the likelihood of rolling an entirety of 12 with two dice is 1/36, or roughly 0.0278 (adjusted to the closest thousandth).
This is often because the likelihood of rolling a particular number on one pass-on is 1/6, and since we have two dice, we duplicate 1/6 by 1/6 to induce the likelihood of a particular combination, which is 1/36.
In other words, the likelihood of rolling an entirety of 12 is exceptional moo, which makes it an uncommon event when rolling two dice.
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