Answer:
The Answer is Step 3. I took the test :)
Find the equation for the line that passes through the point (1, 3), and that is perpendicular to the line with the equation −3x − 4y = 13.
What power do you raise a number to to get the square root of it?
A rectangle is 1/3 yards long and 2/3 yards wide. What is the area of the rectangle? Enter your answer in the box as a fraction in simplest form.
To find the area of a rectangle, multiply the length by the width. For a rectangle that is 1/3 yards long and 2/3 yards wide, the area is 2/9 square yards, which is the answer in simplest form.
The question asks us to calculate the area of a rectangle that is 1/3 yards long and 2/3 yards wide. The formula to compute the area of a rectangle is length imes width.
First, multiply the length and the width:
Length: 1/3 yards
Width: 2/3 yards
Area = (1/3) times (2/3) yards sq
Area = 2/9 square yards
This is the simplest form of the fraction, so this is the final answer: The area of the rectangle is 2/9 square yards.
There are 20,000 owls in the wild. Every year the population decreases by 8%. How many owls will there be after 8 years?
After 8 years, there will be approximately 10,260 owls remaining in the wild. This calculation is based on an initial population of 20,000 owls decreasing by 8% annually, yielding a final population using the formula for exponential decay.
To find out how many owls will remain after 8 years, we can use the formula for exponential decay:
[tex]\[ \text{Final population} = \text{Initial population} \times (1 - \text{Rate of decrease})^{\text{Number of years}} \][/tex]
Given:
Initial population (P) = 20,000 owls
Rate of decrease (r) = 8% = 0.08
Number of years (t) = 8
Plugging in the values:
[tex]\[ \text{Final population} = 20,000 \times (1 - 0.08)^8 \][/tex]
[tex]\[ \text{Final population} = 20,000 \times (0.92)^8 \][/tex]
[tex]\[ \text{Final population} \approx 20,000 \times 0.513 \][/tex]
[tex]\[ \text{Final population} \approx 10,260 \][/tex]
So, after 8 years, there will be approximately 10,260 owls remaining in the wild.
What is the slope of the line 3x + 4y = -11?
answers:
3\4
-3\4
3
4
Final answer:
To find the slope of the line given by 3x + 4y = -11, the equation is rearranged into the slope-intercept form, yielding a slope (m) of -3/4.
Explanation:
The question asks: What is the slope of the line 3x + 4y = -11?
To find the slope of the line, we first need to rearrange the equation into the slope-intercept form, which is y = mx + b, where m is the slope, and b is the y-intercept. Starting with the given equation
3x + 4y = -11We isolate y on one side by first moving 3x to the right side of the equation, and then dividing everything by 4:
4y = -3x - 11y = (-3/4)x - 11/4Now, in the form of y = mx + b, it's clear that the slope (m) of the line is -3/4.
Adventure Play sells an mp3 player for $18.00 and charges $3.25 per song. King Music sells a player for $23.00 and charges $2.00 per song. For how many songs will the cost be the same?
Answer:
4 songs
Step-by-step explanation:
The coordinates of triangle DEF are Upper D left parenthesis 3 comma 3 right parenthesis, Upper E left parenthesis 8 comma 3 right parenthesis, and Upper F left parenthesis 5 comma 7 right parenthesis. If you translate triangle DEF 2 units right and 3 units down, what are the coordinates of Upper E'?
Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 4x2 + 24x + 30?
The graph of f(x) = x2 is widened.
The graph of f(x) = x2 is shifted left 3 units.
The graph of f(x) = x2 is shifted up 30 units.
The graph of f(x) = x2 is reflected over the x-axis.
The graph of f(x) = x2 is shifted left 3 units.
Lucy watched TV for 25 of an hour on Monday. She watched 79 of an hour on Tuesday. What day did she spend more time watching TV?
What is general form of equation of a circle with center at (a,b) and radius of length m?
The general form of the equation of a circle with centre at [tex]\((a, b)\)[/tex] and radius [tex]\(m\)[/tex] is: [tex]\[ x^2 + y^2 - 2ax - 2by + (a^2 + b^2 - m^2) = 0 \][/tex].
The general form of the equation of a circle is [tex]\( (x - h)^2 + (y - k)^2 = r^2 \)[/tex], where [tex]\((h, k)\)[/tex] represents the centre of the circle and [tex]\(r\)[/tex] represents the radius.
If we expand and rearrange this equation, we get [tex]\( x^2 + y^2 - 2hx - 2ky + (h^2 + k^2 - r^2) = 0 \)[/tex].
Comparing this with the given options, we see that [tex]\( h = a \), \( k = b \), and \( r = m \)[/tex].
Substituting these values into the general form, we get [tex]\( x^2 + y^2 - 2ax - 2by + (a^2 + b^2 - m^2) = 0 \)[/tex], which matches the correct option.
Complete Correct Question:
What is the general form of the equation of a circle with center at (a, b) and radius of length m?
a. x2 + y2 - 2ax - 2by + (a2 + b2 - m2) = 0.
b. x2 + y2 + 2ax + 2by + (a2 + b2 - m2) = 0.
c. x2 + y2 - 2ax - 2by + (a2 + b2 + m2) = 0.
d. x2 + y2 + 2ax + 2by + a2 + b2 = -m2.
The graph illustrates a reflection of abc . What line is abc reflected across to create a'b'c'?
A machine can produce 27 inches of ribbon in 3 minutes.how much ribbon can the machine produce in 1 hour produce in 1 hour?
He measure of one angle of an octagon is twice that of the other seven angles. what is the measure of each angle? answer: ,
The measure of one angle in an octagon is 135.625 degrees.
Explanation:Let's denote the measure of one angle as x.
Since there are eight angles in an octagon,
the sum of all the angles in the octagon is 180(x) + 7(2x) = 180x + 14x = 194x.
We know that the sum of the angles in any polygon is equal to (n-2) times 180 degrees, where n is the number of sides of the polygon.
Therefore, 194x = (8-2) × 180. Solving this equation,
we find that x = 135.625. So, the measure of each angle is 135.625 degrees.
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given that (-8,- 7) in on the graph of f(x), find the corresponding point for the fuction f(x -4)
What is the solution to the equation 5x = 40?
The line through (8, 0) with slope -3/4 in slope-intercept form
A 3500.00 $ principal earns 3% annual interest, Compounded semiannually after 20 years, what is the balance in the account
What is the sum of the first 7 terms of the series −8+16−32+64−
The yearly profit of a company in thousands of dollars is given by the finction P(x) =3000+1200-6x^2 where x is the amount in thousands the company spneds on advertising. Find the amount ,x, that the company has to spend to maxamize its profit
Determine whether each triangle with sides of given lengths is a right triangle. Hint: Set a2+b2=c2a2+b2=c2 If One side is equal to the other, then it's a right triangle. It sides are not equal, then it's not a right triangle. a = 6 cm b= 8 cm c = 10 cm
answers yes or no
How much water can be held by a cylindrical tank with a radius of 12 feet and a height of 30 feet?
The perimeter of a rectangular outdoor patio is 60 ft. the length is 4 ft greater than the width. what are the dimensions of the patio? l w
The length of rectangular outdoor patio is 17 feet and the width is 13 feet.
Given that, the perimeter of a rectangular outdoor patio is 60 ft.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Let the width of the rectangular outdoor patio be x.
Then, the length is 4 ft greater than the width = x+4
Now, perimeter = 2(x+x+4)
⇒ 2(2x+4) = 60
⇒ 4x+8=60
⇒ 4x=52
⇒ x=13
Length = x+4 = 17
Therefore, the length of rectangular outdoor patio is 17 feet and the width is 13 feet.
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The base of a parallelogram is 24 inches longer than three times the height. The area of the parallelogram is 384 square inches. What is the height?
The height is x = ________ inches.
To find the height of the parallelogram, set up the equation (3x + 24) x = 384 using the formula for the area of a parallelogram. Solve the resulting quadratic equation to find that x, representing the height, is 8 inche
The student is trying to find the height of a parallelogram when the base is 24 inches longer than three times the height and the area is 384 square inches. Let the height of the parallelogram be represented by x inches. According to the problem, the base (b) is 3x + 24 inches. Using the formula Base x Height = Area of parallelogram, we can set up the equation:
(3x + 24) x= 384
Now solve for x using the distributive property:
3x^2 + 24x = 384
Next, set the equation to zero:
3x^2 + 24x - 384 = 0
Divide the entire equation by 3 to simplify:
x^2 + 8x - 128 = 0
Factor the quadratic equation:
(x + 16)(x - 8) = 0
Set each factor equal to zero:
x + 16 = 0 or x - 8 = 0
Since the height cannot be negative, x = 8 is the solution. Therefore, the height of the parallelogram is 8 inches.
Can someone help me...?
please help understand this and get it done.
Two circle are inscribed inside squares. Write a function f in terms of the radius r that represents the area of the shaded region. Leave your answer in terms of π.
f(r)=___
The function [tex]f[/tex] in terms of the radius [tex]r[/tex] that represents the area of the shaded region is [tex]f(r) = 2\pi\cdot r^{2}[/tex].
The area of the shaded region is the sum of the areas of the two circles of same radius, each of them represented by the following formula:
[tex]A_{r} = \pi\cdot r^{2}[/tex] (1)
Where:
[tex]A_{r}[/tex] - Area of the circle.[tex]r[/tex] - Radius of the circle.Then, the formula for the shaded area is:
[tex]f(r) = 2\cdot A_{r}[/tex]
[tex]f(r) = 2\pi\cdot r^{2}[/tex] (2)
The function [tex]f[/tex] in terms of the radius [tex]r[/tex] that represents the area of the shaded region is [tex]f(r) = 2\pi\cdot r^{2}[/tex]. [tex]\blacksquare[/tex]
RemarkThe figure is missing and the statement present mistakes. Correct statement is shown below:
Two circle are inscribed inside squares. Write a function [tex]f[/tex] in terms of the radius [tex]r[/tex] that represents the area of the shaded region. Leave your answer in terms of π.
To learn more on areas, we kindly invite to check this verified question: https://brainly.com/question/1631786
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.
The answer to your question is B :)
50 POINTS AND BRAINLIEST!!! QUICK
3. At a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 11 m. The inner edge of the sidewalk is a circle with a radius of 9 m.
(a) Write and simplify an expression for the exact area of the sidewalk.
(b) Find the approximate area of the sidewalk. Use 3.14 to approximate π.
Find the angle with a tangent ratio of 0.9325
Answer:
B. 43
Step-by-step explanation:
Pls, answer!! I will mark the 1st person to answer correctly with work as brainliest for 20 points!