Answer:
A is the answer I promise I hope it helps HEHEHEH
Which of these statements is true about adaptive evolution?
Answer:
Adaptive evolution is always changing because the environment is changing continuously.
Hence,
The right answer would be :
Adaptive evolution is a fluctuating change in a trait
Step-by-step explanation:
Find the parametric equation of
X=4sin(5t)
Y=-48sin^2(5t)+8sin(5t)-3
The parametric equations for the curve are X = 4 sin(5t), Y = -48 sin²(5t) + 8 sin(5t) + 45
Describe Parametric Equation?A parametric equation is a set of equations that express the coordinates of a point as functions of one or more parameters. These equations define a curve or a surface in a space and are commonly used in mathematics, physics, engineering, and computer graphics to model and analyze various phenomena.
Parametric equations can be useful in many applications, such as modeling the motion of particles, designing curves and surfaces, and creating computer animations. They also allow for the visualization of complex shapes and curves that may be difficult to describe using traditional equations.
To find the parametric equation of the given curve, we need to express the coordinates x and y in terms of a parameter t. We can use the trigonometric identities to simplify the given equations and get:
X = 4 sin(5t)
Y = -48 sin²(5t) + 8 sin(5t) - 3
Let's start with Y. We can use the identity sin²(θ) + cos²(θ) = 1 to rewrite -48 sin²(5t) as -48 (1 - cos²(5t)) = -48 cos²(5t) + 48. Substituting this into the equation for Y, we get:
Y = -48 cos²(5t) + 8 sin(5t) - 3
Now, we can use another trigonometric identity, sin²(θ) + cos²(θ) = 1, to rewrite cos²(5t) as 1 - sin²(5t). Substituting this into the equation for Y, we get:
Y = -48 (1 - sin²(5t)) + 8 sin(5t) - 3
Y = -48 sin²(5t) + 8 sin(5t) + 45
So, the parametric equations for the curve are:
X = 4 sin(5t)
Y = -48 sin²(5t) + 8 sin(5t) + 45
This is the final answer.
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a builder needs 1,044 nails to finish a project. if the nails come in packages of 58, how many packages should the builder purchase
9514 1404 393
Answer:
18
Step-by-step explanation:
(1044 nails)/(58 nails/pkg) = 18 pkg
The builder should purchase 18 packages of nails.
A number is no less than 13
Answer: yes a number is less than 13
Step-by-step explanation:
Please help with this onee!!
Answer:
below smallest to greatest:
Step-by-step explanation:
1) 1/4--> 3/8 --> 1/2
b) 4/9 --> 1/2 --> 2/3 -->5/6
c) 1/5--> 7/10 --> 3/4--> 4/5
Kira looked through online census information to determine the average number of people living in the homes in her city. What is true about Kira’s data collection?
Kira used an observational study where the data is qualitative.
Kira used an observational study where the data is quantitative.
Kira used published data that is qualitative.
Kira used published data that is quantitative.
The published data refers to the government census info being published online. She did not do an observational study because she didn't go to each household herself (rather let the census workers do that task).
The data is quantitative because she is looking at the number of people living in homes in her city. Quantitative data is simply dealing with quantities or numbers. Contrast this with qualitative data that talks about something like color choice.
Answer:
D: Kira used published data that is quantitative.
Step-by-step explanation:
edg2020
Quantitative means regarding numbers and facts. How many people live in homes in her city is a factual number that is quantitative data. What color shirt they are all wearing is qualitative.. Its not an observational study at all either, so A and B are false
which formula would be utilized to find the area of the base (B) for this figure
Answer:
The second one A = 1/2 bh
Step-by-step explanation:
3(x=2)=2(x+5) step by step
What is the exact definition of the Pythagorean Theorem and who invented it.
Answer:
Pythagoras invented it
Step-by-step explanation:
a theorem attributed to Pythagoras that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
What is the length of side BC of the triangle?
Answer: -9
Step-by-step explanation: it is -9 because 3x-3 equals -9. I hope this will help!
Use the square root property to solve the equation. (x + 3)² = 10 The solution(s) to this equation have the form x = A ± √B where A = and B = %
Answer:
A = - 3 and B = 10
Step-by-step explanation:
(x + 3)² = 10 ( take square root of both sides )
x + 3 = ± \(\sqrt{10}\) ( subtract 3 from both sides )
x = - 3 ± \(\sqrt{10}\) ← in the form A ± \(\sqrt{B}\)
where A = - 3 and B = 10
A terminating decimal, suchas 0.75, has an exact numberof nonzero digits. Which of the following fractions cannot be written as a terminating decimal
The solution is, 0.75 can be written as fraction = 3/4.
What is fraction?A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.
here, we have,
A terminating decimal, such as 0.75, has an exact number of nonzero digits.
so, it can be written as fraction
0.75
=75/100
=3/4
Hence, The solution is, 0.75 can be written as fraction = 3/4.
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Which of the following items showed the greatest percentage discount in price for buying in bulk
"Fair Warden Cap 25% Discount " showed the greatest percentage discount in price for buying in bulk.
This is further explained below.
What is the discount?Generally, In the context of finance, discount refers to a process in which a debtor acquires the right to defer payments to a creditor for a certain amount of time in return for a charge or fee. This privilege is known as "discounting." To put it simply, the party that is now in debt acquires the right to postpone the payment until some unspecified time in the future.
In conclusion, The phrase "Fair Warden Cap 25% Discount" displayed the maximum percentage price reduction available for purchasing in large quantities.
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CQ
High Visibility Safety Clothing
Item
Purchases of 1 to 10 Purchases of more than 10
Jacket
$25.00 each
$21.00 each
Trousers
$15.00 each
$12.00 each
Rucksack
$22.00 each
$19.50 each
Belt
$5.00 each
$4.00 each
Fire Warden Cap
$10.00 each
$7.50 each
Fire Warden Armband $7.50 each
$6.50 each
First Aid Armband
$7.00 each
$6.00 each
Which of the following items showed the greatest percentage discount in price for
buying in bulk?
Jackets
() Trousers
() Rucksacks
Belts
O) Fire Warden Cap
Gianna cuts a ribbon into equal pieces as shown below. She uses 4 pieces of the ribbon for a project. What fraction of the ribbon does Gianna use for the project? Explain how you found your answer.
The functions f(x) = −(x − 1^)2 + 5 and g(x) = (x + 2)^2 − 3 have been rewritten using the completing-the-square method. Apply your knowledge of functions in vertex form to determine if the vertex for each function is a minimum or a maximum and explain your reasoning.
If we write a quadratic in vertex form:
\(y=a(x-h)^2+k\)
Then:
\(\bold{a}\) \(\longrightarrow\) is the coefficient of \(x^2\)
\(\bold{h}\) \(\longrightarrow\) is the axis of symmetry.
\(\bold{k}\) \(\longrightarrow\) is the max/min value of the function.
Also:
If \(a > 0\) then the parabola will be of the form \(\cup\) and will have a minimum value.
\(a < 0\) then the parabola will be of the form \(\cap\) and will have a minimum value.
For the given functions:
\(a < 0\)
\(f(x)=-(x-1)^2+5\) this has a maximum value of \(\bold{5}\)
\(a > 0\)
\(f(x)=(x+2)^2-3\) this has a minimum value of \(\bold{-3}\)
The sales tax in the town where Amanda lives is 9%. Amanda paid $45 in sales tax on a new stereo. What was the price of the stereo?
Step-by-step explanation:
500 dollars is the original price
Find the domain and the range of {(1,7),(3,8),(0,4),(-1,4)}
Answer:
domain={1,3,0,-1}
range={7,8,4}
Use the distribute property to determine which expression is equivalent to 3(4x+2t).
Answer:
12x + 6t
Step-by-step explanation:
Since 3 is on the outside of the parentheses, multiply 3 times 4 to get 12 and 3 times 2 to get 6. Then put in the variable
Answer:
The expression would be: 12x + 6t
Step-by-step explanation:
Find the quotient of z₁ by z2. Express your answer in
trigonometric
form.
² - 3 (0 (4) + (*))
Z₁ cos
+/sin
Z₂
²2 = 7 (cos(377)+
COS
8
O A. 7 (cos (577) + i sin (5/77))
8
B.
21(cos(577)+isin (577))
8
OC. 21 cos
21(cos(-7)+ i sin(-77))
O D. 7 (cos(-7) + + sin(-7))
i
+/sin
37T
8
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.
Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.
We have:
z₁ = 7(cos(577°) + i sin(577°))
Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.
From the given information, we have:
z₂ = 21(cos(-7°) + i sin(-77°))
To find the quotient, we divide z₁ by z₂:
z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]
Substituting the given values, we have:
z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]
= (7/21) * [cos(584°) + i sin(584°)]
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.
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3 7/10 + 5 3/4 + 3/4
Answer: 10.2 = 10 1/5
Step-by-step explanation:
Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples? Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples?Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples?Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples? Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples? Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples?
Not sure how to solve this
Step-by-step explanation:
Plug your x and y values into the equation. y = 3(0); y = 0; y = 3(-1); y = -3; y = 3(2); y = 6.
trouve trois nombres entiers consécutifs dont la somme vaut 513
Answer:
170, 171, 172
Step-by-step explanation:
x + x + 1 + x + 2 = 513
3x + 3 = 513
3x = 510
x = 170
x + 1 = 171
x + 2 = 172
An administrator at UF wants to estimate the proportion of students who would support an increase in the student activity fee. This increase would be used to fund a $450 million renovation of the campus football stadium. How many students would need to be selected in the sample if the administrator wants a margin of error of 5% for a 99% con
Answer:
The correct answer is "664".
Step-by-step explanation:
The given values are:
Margin of error,
E = 5%
i.e.,
= 0.05
Level of confidence,
C = 99%
i.e.,
= 0.99
Level of significance,
α = 0.01
From the z value table,
Critical z = 2.576
As we know,
The required sample size n will be:
= \((\frac{z}{E} )^2\times p(1-p)\)
On substituting the values, we get
= \((\frac{2.576}{0.05} )^2\times 0.5(1-0.5)\)
= \((51.52)^2\times 0.25\)
= \(2,654.31\times 0.25\)
= \(663.5776\)
i.e.,
= \(664\)
If y varies directly as x, and y = 8 when x = 4, find y when x = 24.
The value of y is 48
How to calculate the value of y in the variation ?y= kx
let's solve for k which is the constant
y= 8 , x= 4
k= 8/4
k= 2
Next is to calculate the value of y when x is 24
y = 2 × 24
y= 48
Hence the value of y is 48
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Find the slope of the line that passes through the
points (-4, 7) and (3,-2)
Answer:
-9/7
Step-by-step
Slope Formula:
\(\frac{y_2-y_1}{x_2-x_1}\)
We can plug in the numbers 7 and -2 for the y and -4 and 3 for x
\(\frac{7-(-2)}{-4-3} =\frac{9}{-7}\)
IF FGH = QRS, find the measure of
Answer:
x=9 which makes angle q 28 degrees
Step-by-step explanation:
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The random variable K has a geometric distribution with mean 16. Which of the following is closest to the standard deviation of random variable K ?a. 0.0625b. 0.9375c. 4d. 15.49e. 240
The standard deviation of random variable K is 15.49 (option D ) and this can be determined by using the formula of mean and standard deviation.
Given,
The mean of geometric distribution of random variable K = 16
Formulae for finding mean,
mean = 1/p
Substitute the value of the mean in the above formula in order to determine the value of 'p'.
\(16 =\frac{1}{p}\)
\(p = 0.0625\)
The formulae for standard deviation :
S.D.=\(\frac{\sqrt{1-p} }{p}\)
Now substitute the value of p in the above equation,
S.D. \(= \frac{\sqrt{1-0.0625} }{0.0625}\)
\(= 15.49\)
Hence, the answer is option D.
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Julie's recipe for lemonade made 2 quarts. What did she need to
multiply each ingredient by to make 8 gallons?
Answer:
She needs 16 recipe to make 8 gallons
The price of jeans was reduced $7 per week for 4 weeks. By how much did the price of the jeans change
over the 4 weeks?
dollars over the 4 weeks.
Answer:
$28
Step-by-step explanation:
The rate the jeans are reduced is $7 every week, if this continues for 4 weeks the total price of reduction for the jeans can be calculated by doing $7 x 4= $28.