Step-by-step explanation:
Area of circle:
A=π*(r^2)=π*(16^2)=256π ft^2
Area of the figure:
A=(3*256π)/4=192π=603.185=603.18 ft^2
Write a polynomial equation with integer coefficients that have the given roots. y=4, y=−3
Answer:
(y-6)*(y-4) = 0
Step-by-step explanation:
If the polynomial zeroes are 4 and -3 then the factors of the polynomial are (y - 4) and (y + 3). Then the polynomial is y² - y - 12.
What is polynomial?Polynomial is an algebraic expression that consists of variables and coefficients. Variables are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.
The roots of the polynomial factors are 4 and -3.
Then the polynomial factors will be (y - 4) and (y + 3).
Then the polynomial will be
(y - 4) (y + 3)
y² - y - 12
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DON'T SOLVE IT
I know the answer. I just need to know the TOPIC in geometry.
What is the topic???
Answer:
Triangles in Geometry
Step-by-step explanation:
A local rec center offers a yearly membership for $265. The center offers aerobics classes for an additional $5 per class. Write an equation that represents the total cost of the membership.
The equation that represents the total cost of the membership will be y = 5x + 265.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A local rec center offers a yearly membership for $265. The center offers aerobics classes for an additional $5 per class.
Let 'x' be the number of aerobics classes and 'y' be the total cost. Then the equation is given as,
y = 5x + 265
The equation that represents the total cost of the membership will be y = 5x + 265.
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solve this question
i need it
To find the limit of a convergent sequence, we can simply take the limit as n approaches infinity. Let's calculate the limits for each of the given sequences:
A. \(\sf\:\lim_{n \to \infty} \frac{5n}{n+7} \\\)
To find the limit, we divide the leading terms by n:
\(\sf\:\lim_{n \to \infty} \frac{5n/n}{(n+7)/n} = \frac{5}{1} = 5 \\\)
Therefore, the limit of the sequence A is 5.
B. \(\sf\:\lim_{n \to \infty} \frac{4-7n}{8+n} \\\)
Again, divide the leading terms by n:
\(\sf\:\lim_{n \to \infty} \frac{4/n - 7}{8/n + 1} = \frac{0 - 7}{0 + 1} = -7 \\\)
So, the limit of sequence B is -7.
C. \(\sf:\lim_{n \to \infty} \frac{8n - 500\sqrt{n}}{2n + 800\sqrt{n}} \\\)
Divide the leading terms by n:
\(\sf\:\lim_{n \to \infty} \frac{8 - 500\sqrt{n}/n}{2 + 800\sqrt{n}/n} \\\)
As n approaches infinity, the terms involving \(\sf\:\sqrt{n}/n \\\) tend to 0:
\(\sf\:\lim_{n \to \infty} \frac{8 - 500(0)}{2 + 800(0)} = \frac{8}{2} = 4 \\\)
Therefore, the limit of sequence C is 4.
To summarize:
A. The limit of sequence A is 5.
B. The limit of sequence B is -7.
C. The limit of sequence C is 4.
I need explanation for example 8.
Thankyou
There is a probability of 94/315 that the problem will be solved.
We are given that P has a chance of solving the problem of 2/7, Q has a chance of solving the problem of 4/7, and R has a chance of solving the problem of 4/9. To find the probability that the problem is solved, we need to consider all possible scenarios in which the problem can be solved.
The probability of this scenario is 2/7. If P solves the problem, then it does not matter whether Q or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 2/7.
The probability of this scenario is 4/7. If Q solves the problem, then it does not matter whether P or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/7.
The probability of this scenario is 4/9. If R solves the problem, then it does not matter whether P or Q solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/9.
The probability of this scenario is (1-2/7) * (1-4/7) * (1-4/9) = 3/35. This is because the probability of P not solving the problem is 1-2/7, the probability of Q not solving the problem is 1-4/7, and the probability of R not solving the problem is 1-4/9. To find the probability of none of them solving the problem, we multiply these probabilities together.
To find the probability of the problem being solved, we need to add the probabilities of all the scenarios in which the problem is solved. Therefore, the probability of the problem being solved is:
2/7 + 4/7 + 4/9 = 94/315
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-8x+y=6
-8x+3y=-14
How would you solve this using the elimination method? Thanks!
Answer:
x = -1,375
y = -5
Step-by-step explanation:
{-8x + y = 6, / : (-1)
{-8x + 3y = -14;
Multiply the first equation by -1, so that we could eliminate 8x:
+ {8x - y = -6,
{-8x + 3y = -14;
----------------------
4y = - 20 / : 4
y = -5
Now, make x the subject from the first equation (you can do it from the 2nd one instead):
8x = -6 + y / : 8
x = -0,75 + 0,125y
x = -0,75 + 0,125 × (-5) = -0,75 - 0,625 = -1,375
PLS ANSWER QUICK, HELP
Answer:
6 inches of paper:)!
Step-by-step explanation:
NEEEEED HELP ASAP!!!
Simplify x^-2 ÷ y ^-3?
Answer:
Step-by-step explanation:
[1/(x^2)]÷[(1/y^3)]
(y^3)/(x^2)
The graph of the function f(x) = (x-4)(x + 1) is shown
below.
Which statement about the function is true?
O The function is increasing for all real values of x
where
x < 0.
O The function is increasing for all real values of x
where
x < -1 and where x > 4.
O The function is decreasing for all real values of x
where
-1
O The function is decreasing for all real values of x
where
x < 1.5.
The statement that is true regarding the function f(x) = (x-4)(x + 1) is that the function is increasing for all real values of x where x < -1 and where x > 4. So, the option is: O The function is increasing for all real values of x where x < -1 and where x > 4.
Explanation: Given function is:f(x) = (x - 4) (x + 1). The graph of the given function is shown below: As it is visible from the graph, the function is decreasing for all real values of x where x lies between -1 and 4 (inclusive).
The turning point of the function is x = -0.5, which is the x-coordinate of the vertex of the parabola. Also, we see that the vertex is the minimum point of the parabola and the y-coordinate of the vertex is -4.25. This means that f(x) ≥ -4.25 for all x. The function is increasing for all real values of x where x < -1 and where x > 4.
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Can someone help me I’m really bad in geometry
He travelled 52.6 feet which is the hypotenuse. Then use sin ratio to solve for h.
ILL GIVW YOU BRAINLIST !!! HAVE TO GET IT RIGHT !!!! SHOW WORK
my - 2x
m=3 , y=6 , x = 8
Answer:
2
Work is shown in picture
3х +5 > – 2x — 5
............
Answer:
x>-2
Step-by-step explanation:
(PLEASE ANSWER THIS SERIOUSLY! ITS FOR A TEST) Move the yellow dots in order to make the segments intersect. Let the intersection be called point X. Make the lines intersect in such a way that ∠TXV is an obtuse angle less than 135°. Afterwards, use the protractor to determine the precise measure of all four angles. You should redraw the lines if ∠TXV is not the proper size.
Answer:)Angle FIH and GIE after keeping angle EIH at 140° is 40° while ∠FIG will is the opposite angle of ∠EIH so it will remain the same as 140°.
Step-by-step explanation:We need to intersect both lines and make ∠EIH > 135°
So,Let's keep ∠EIH = 140°
Then,∠FIG = 140° (opposite angle)∠FIH = ∠GIE = x (opposite angle)
Now,The Sum of all angles around I will be 360 degrees.
So,140 + x + 140 + x = 360 ,2x + 280 = 360, 2x = 80 ⇒ x = 40°.
what is the slope of the line
359
110"
350
Triangle A
Triangle B
Given the triangles above, what is the measure, in degrees, of angle x?
i think the answer is 35° because the triangles are congruent to each other
Add and subtract the rational expressions. 9t-4/5t+(6t-1/5t-2t-3/5t)which statements are true check all that apply
Answer: A, B, and E in edginuity
Step-by-step explanation:
The first, second, and last one
-The expression is not defined when t=0
-The first step is to use the order of operations and simplify the expression inside the parentheses
-The numerator will be simplified to 13t-2
Answer: A, B, & E is correct on Edg!
Step-by-step explanation: Just got it right
You can download 15 songs from Spotify for $12. At Itunes, you can download 10 songs for $9. Which Music app has the lower cost per song? How much less is the cost?
Answer:
ITunes.
Step-by-step explanation:
In iTunes, 1 song is equivalent to $1.11 and on Spotify, 1 song is equivalent to $1.25. So, iTunes has the lowest cost per song by 14 cents.
(but if you want more songs Spotify is better imo)
7. A floor is covered by 800 tiles measuring 10 squared cm. How many square tiles of side 8 cm would be needed to cover the same floor?
Answer:
1000 tiles
Step-by-step explanation:
Determine total floor space
800 x 10 = 8000 squared cm total floor space.
Divide floor space by size of tile
8000 / 8 = 1000 tiles now required to cover the floor.
In the following figures which of the two lines are parallel and why?
Answer:II
Step-by-step explanation:
132+48=180, it means that lines l&m is parallel
mily of lines with the following characterizing property is 10 6) perpendicular to 3+2= - 7 (d) having inclination 60 (1) passing through the origin (h) haning slope -intercept twice v-intercept
Determine the slope of the line.
\(\begin{gathered} m=\tan 60^{\circ} \\ =\sqrt[]{3} \end{gathered}\)The general equation of line is y = mx + C.
So family of equation of lines for inclination of 60 degree is,
\(y=\sqrt[]{3}x+C\)Here C is y-intercept of the equation.
Answer is,
\(y=\sqrt[]{3}x+C\)Question 5
6 pts
Find the Volume, round to the nearest tenth if necessary!
9.6 km
2 km
10 km
Answer:just tryna get points don't mind me
Step-by-step explanation:
....
im just tryna get points
9+10=21
3+10+cylinder
According to Okun's law, if the unemployment rate goes from 3% to 7%, what
will be the effect on the GDP?
Answer: decrease in the GDP by 2.5%.
Step-by-step explanation:
Examine the right triangle below, solve for x, round to two decimal places if
necessary.
The solution for x in the triangle is x = 51.98 units
How to solve for x in the triangle?
Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.
Using trigonometric ratio:
sin 38° = 32/x (Sine = opposite/hypotenuse)
x = 32/sin 38°
x = 51.98 units
Therefore, the solution is x = 51.98 units
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Given the zeros of the function f (x) = x4 + 3x3 – 28x², identify whether the zero is a bounce or
cross.
Question for the kids orrr?
Answer:
B. 18 sq in.
Step-by-step explanation:
Surface area of the triangular pyramid excluding the base = area of the three triangular faces = 3(½ × base × height)
Where,
base = 3 inches
height = ED = 4 inches
Plug in the known values into the equation
Surface area of the triangular pyramid excluding the base = 3(½ × 3 × 4)
= 3(3 × 2)
= 3(6)
= 18 sq in.
What is the approximate area of the following circle?
Answer:
\(38.47 {m}^{2} \)
Step-by-step explanation:
The formula to find the area of a circle is
\( a= \pi {r}^{2} \)
We know that
\(\pi = 3.14 \: \: \: \: \: \: r = 3.5\)
Therefore the area is
\( a= \pi {r}^{2} \\ \\ a = (3.14) {(3.5)}^{2} \\ \\ a = 3.14 \times 12.25 \\ \\ a = 38.47 {m}^{2}\)
Define the transformations in f(x) = -1/3|2x - 3|+ 2 from f(x) = |x|
Answer:
horizontally shrink by factoring of 2, shift 3/2 units to the right, shift 2 units upward
Step-by-step explanation:
PLEASE HELP ME IM BEGGING!!! In a teat of the effectiveness of garlic for lowering cholesterol,43 subjects were treated with garlic in a processed tablet form. Chloesterol kevels were measured before and after the treatment. The changes(before-after) in their levels of LDL cholesterol (in mg/dL) have a mean of 3.5 and a standard deviatiom of 18.1. Contruct a 90% confidence interval estimate of the mean net change in LDL cholesterol after garlic. what does the confidence interval suggest about the effectiveness
The 90% confidence interval estimate of the mean net change in LDL cholesterol after garlic, using the t-distribution, is of:
(-1.14, 8.14).
Since the lower bound of the interval is negative, there is no guarantee of the effectiveness of the method.
What is a t-distribution confidence interval?The t-distribution is used when the standard deviation for the population is not known, only for the sample.
The bounds of the confidence interval are given according to the rule presented below:
\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)
In which the variables of the equation are described as follows:
\(\overline{x}\) is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 43 - 1 = 42 df, is t = 1.6820.
The values of the other parameters are defined as follows:
\(\overline{x} = 3.5, s = 18.1, n = 43\)
Then the lower bound of the confidence interval is calculated as follows:
\(\overline{x} - t\frac{s}{\sqrt{n}} = 3.5 - 1.682\frac{18.1}{\sqrt{43}} = -1.14\)
The upper bound of the confidence interval is calculated as follows:
\(\overline{x} + t\frac{s}{\sqrt{n}} = 3.5 + 1.682\frac{18.1}{\sqrt{43}} = 8.14\)
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Solve for the measure of angle G in degrees.....
Answer:
Angle G = 76 degrees
Step-by-step explanation:
66 + 2x + x = 180
66 + 3x = 180
3x = 114
x = 38
2(38) = 76
Answer:
76 degrees is the answer hope this help if I'm wrong I'm so sorry