Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
A square garden has an area of 5 square feet. Without using a calculator, find the side length of the garden to the nearest tenth of a foot
Answer:
2.23
Step-by-step explanation:
tune able to find the area you should x one side by the other side to find the area 2.23 * 2.23 equals close to 5 square feet
3. Write the equation of the line passing through (5,-3) and ( -4,4).
Answer:
y=-7/9x+8/9
Step-by-step explanation:
Answer:
y=7/9x+64/9
Step-by-step explanation:
4+3/-4-5=7/9
y-4=7/9x+28/9
y=7/9x+64/9
what is the y-coordinate of the solution for the system of equations? {x-y=12 {27+3y=2x
Answer:
-3
Step-by-step explanation:
x - y = 12 is the same as -2x = -24 - 2y
2x = 27 + 3y
+ --------------------
0 = 3 + y
-3 = y
Determine the center and radius of the following circle equation:
x2 + y2 – 10x + 8y + 40 = 0
Answer:
The center of this circle is (5, -4) and the radius is 1.
Step-by-step explanation:
First regroup these terms according to x and y :
x^2 - 10x + y^2 + 8y = -40
Next, complete the square for x^2 - 10x: x^2 - 10x + 5^2 - 5^2.
and the same for y^2 + 8y: y^2 + 8y + 16 - 16
Substituting these results into x^2 - 10x + y^2 + 8y = -40, we get:
x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40.
Next, rewrite x^2 - 10x + 25 and y^2 + 8y + 16 as squares of binomials:
Then x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40 becomes:
(x - 5)^2 + (y + 4)^2 - 25 - 16 = -40, or:
(x - 5)^2 + (y + 4)^2 = 1
This equation has the form (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius. Matching like terms, we get h = 5, k = -4 and r = 1.
The center of this circle is (5, -4) and the radius is 1.
Answer:
Center (5,-4) Radius = 1
Step-by-step explanation:
Put it in the form of the standard circle equation after dividing everything by 2. (-10x/2=-5x) (8y/2=4y) Since the radius wasn't given, it's just going to be a 1.
(x-5)^2+y(-(-4))^2 = 1^2
Hence, center (5, -4) and radius 1.
-9+5y=-4x -11x=-20 +9y elimination method
Using elimination method, the solution of the system of equation is as follows:
x = 1 and y = 1
How to solve system of equation?The system of equation can be solved using different method such as elimination method, substitution method and graphical method.
Therefore, let's solve the system of equation by elimination method.
-9 + 5y = -4x
-11x = -20 + 9y
Rearrange the equations.
4x + 5y = 9
11x + 9y = 20
multiply equation(i) by 11 and multiply equation(ii) by 4
44x + 55y = 99
44x + 36y = 80
subtract equation(ii) from equation(i)
19y = 19
y = 19 / 19
y = 1
Hence,
4x = 9 - 5(1)
4x = 4
x = 4 / 4
x = 1
Therefore,
x = 1 and y = 1
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(HELPPP) The graph models the proportional relationship between the cost of a salad per pound determine the unit rate of the graph
A) $2/lb
B) $4/lb
C) $1/lb
D) $0.50/lb
Mrs. Powell is making a piñata like the one shown below for her son's
birthday party. She wants to fill it with candy. What is the volume of the
piñata? Use the solve a simpler problem strategy.
The volume of the piñata is
1152 cubic in
How to solve for the volume of the piñataThe volume is solved by breaking the composite shape into two prisms
square prism and triangular prismThe volume is solved individually and then added together
Volume of square prism
= area x thickness
= 12 x 12 x 6
= 864 square in
Volume of triangular prism
= area x thickness
= 1/2 x 8 x 12 x 6
= 288 square in
The volume of the piñata
= 864 square in + 288 square in
= 1152 cubic in
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Find the missing angle and x
Answer:
32 degrees
Step-by-step explanation:
119+29=148
180-148=32
Answer:
Step-by-step explanation:
Always remember that a triangles inner angles will always add up to 180 degrees.
So to find the missing angle you would use this equation
180 = angle + angle + angle
In this problem you know 2 of the angles, so input them into the equation above.
180 = 119 + 29 + angle
The next step is to subtract the known angles from 180 degrees.
You can add them both together first ... so 119 + 29 = 148
Now you can subtract 148 from 180, which = 32
So your missing angle is 32 degrees
Final equation should be a true math statement 180 = 119 + 29 + 32
Please help! Giving brainliest to best answer! 20 points
Answer:
The answers are 15,25,35 and 45
Step-by-step explanation:
The graph is only something to waste your time,use the equation to find the answers for each part
TOTAL AMOUNT (t) can be calculated by subtracting 10 from the ORIGINAL PRICE (p).
That is the equation t=p-10
1.) if team a and team b plays 7 times, win, loose and tie are possible outcomes, how many different outcomes are possible. 2.) of all the possible outcomes in problem 1, how many of them are, team a wins 2 games, looses 3 games and 2 games are tie.
The number of outcomes where team A wins 2 games, loses 3 games, and ties 2 games is 210.
In problem 1, there are three possible outcomes for each game: win, loose, or tie.
So, for seven games, there are 3x3x3x3x3x3x3 = 2187 different outcomes.
For problem 2, we need to calculate the number of ways that team A can win two games, lose three games, and tie two games.
To do this, we can use the binomial coefficient formula, which is (n choose k) = n!/(k!(n-k)!).
In this case, n=7 (the total number of games), k=2 (the number of games that team A wins), and m=2 (the number of games that team A ties).
So the number of outcomes where team A wins 2 games, loses 3 games, and ties 2 games is (7 choose 2)(5 choose 3)(2 choose 2) = 210.
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helppppp plzzzz is fue today
Answer:
0
Step-by-step explanation:
There is no gradient there.
How are the properties of exponents used when dividing a polynomial by a monomial?
Answer:
a couple different obes
Step-by-step explanation:
there are five
three points t, u, and v on the number line have coordinates t, u, and v, respectively. is point t between points u and v ?
We can determine coordinates if point t is between points u and v by checking if u < t < v or v < t < u.
To determine if point t is between points u and v, we need to compare their coordinates. If u < v, then point t is between points u and v if and only if u < t < v. On the other hand, if v < u, then point t is between points u and v if and only if v < t < u.
Whether or not point t is between points u and v depends on the relationship between the coordinates of u and v. If u < v, t must fall between them, and if v < u, t must also fall between them.
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Can someone please find the answer to the piecewise function if f(-4)!!
6. Pre-CS responding of 81 and a CS responding of 49 : ?
7. What does CS responding mean?
8. What does a suppression ratio of zero mean? Explain in terms of both responding and fear.
CS responding of 81 refers to the response to a conditioned stimulus. A suppression ratio of zero means no fear response is observed, indicating no learned association between the conditioned stimulus and the aversive outcome.
“CS responding” refers to the response elicited by a conditioned stimulus (CS). A conditioned stimulus is a neutral stimulus that, through repeated pairing with an unconditioned stimulus (UCS), acquires the ability to elicit a conditioned response (CR). The CS responding value represents the level or frequency of the conditioned response.
Now, let’s address the concept of a suppression ratio. In fear conditioning experiments, a common way to measure fear is through a suppression ratio, which is calculated by dividing the number of responses emitted during the CS presentation by the total number of responses emitted during a specific period, usually including both the CS and a baseline period.
A suppression ratio of zero indicates that no suppression of responding occurs during the presentation of the conditioned stimulus. This means that the individual is not showing any reduction in their responding when the CS is presented compared to the baseline period.
In terms of both responding and fear, a suppression ratio of zero suggests that the individual is not associating the CS with the aversive outcome (UCS) and does not exhibit any fear response. Essentially, there is no behavioral evidence of conditioned fear or a learned association between the CS and the aversive stimulus.
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2 - (3x – 4) = 2x – 9
Answer:
2 - (3x – 4) = 2x – 9
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2−(3x−4)=2x−9
2+−1(3x−4)=2x−9(Distribute the Negative Sign)
2+−1(3x)+(−1)(−4)=2x−9
2+−3x+4=2x−9
2+−3x+4=2x+−9
(−3x)+(2+4)=2x−9(Combine Like Terms)
−3x+6=2x−9
−3x+6=2x−9
Step 2: Subtract 2x from both sides.
−3x+6−2x=2x−9−2x
−5x+6=−9
Step 3: Subtract 6 from both sides.
−5x+6−6=−9−6
−5x=−15
Step 4: Divide both sides by -5.
−5x
−5
= −15
−5
x=3
A segment MN has endpoints M(-7.-6) and N(7,7). Find the coordinates of partition point P that divides the segment into a 5:2 ratio.
A segment MN has endpoints M(-7.-6) and N(7,7). Find the coordinates of partition point P that divides the segment into a 5:2 ratio.
___________________________
Find the coordinates of partition point P that divides the segment into a 5:2 ratio.
5:2 means that it is divided into 7, and we do not move two positions from (7,7)
X axis
7- (-7) = 14
14/7 = 2
7-2*2 = 3
Y axis
7-(-6)= 13
13/7 =
7 - 2* (13/7) = 49/7 - 26/ 7 = 23/7 = 3 2/7
______________________________
Answer
(3, 3 2/7)
The expected values of two television sets are predicted as follows.
The function below models the expected value in dollars, of television A after 3 years.
f(x) = 100(-2+4)
The expected value, in dollars, of television B is initially $360 and decreases by $90 each year. Let g(x) represent the
expected value of television B after 3 years.
How does the graph of g(x) compare to the graph of f(x)?
The graph of g(x) has the lesser y-intercept.
The graph of g(x) has the greater 2-intercept.
The graph of g(x) has the greater y -intercept.
o The graph of g(x) has the lesser x-intercept.
Answer:
A. The graph of g (x) has the lesser y -intercept
Step-by-step explanation:
I took the test
For f(x) the y-intercept is given by, c = 400 and for g(x) the y-intercept is given by, c' = 360. The correct option is a) and this can be determined by using the slope-intercept form of the line.
Given :
The function [f(x) = 100(-x + 4)] models the expected value in dollars, of television A after 3 years.The expected value, in dollars, of television B, is initially $360 and decreases by $90 each year.First, determine the function g(x) in order to comment on the graph of g(x). So, according to the given data the expected value, in dollars, of television B is initially $360 and decreases by $90 each year.
Let the total number of years be 'x'. Then the function g(x) is given by:
g(x) = 90x + 360
Now, compare the functions f(x) and g(x) with the slope-intercept form of the line in order to find the y-intercept.
For f(x) the y-intercept is given by, c = 400
For g(x) the y-intercept is given by, c' = 360
Therefore, the correct option is a) The graph of g(x) has the lesser y-intercept.
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i need answer for T.L.E
Answer:
What do you mean by T. L. E?
If the volume of this rectangular prism is 385 cubic inches, what is the value of x?
(x - 2) in.
xin.
W + 4) in
X
inches
Answer:
x=7
Step-by-step explanation:
x(x-2) (x+4) =385
distribute the x and solve
The value of x is 8 in.
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
Length = x + 4
Width = x
Height = x - 2
The volume of the rectangular prism = 385 in³
The volume of the rectangular prism = length x width x height
Now,
length x width x height = 385
(x + 4) x (x - 2) = 385
(x + 4) (x² - 2x) = 385
x³ - 2x² + 4x² - 8x = 385
x³ + 2x² - 8x = 385
This is a cubic polynomial.
f(x) = x³ + 2x² - 8x - 385
f(x) = a³ + bx² + cx + d = 0
Using the calculator we get,
Roots:
x = -3.20181 + 5.96339 i (rejected)
x = -3.20181 - 5.96339 i (rejected)
x = 8.40362 = 8
Thus,
The value of x is 8 in.
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8) Consider \( \mathbb{R} \) with the discrete distance \[ \forall x, y \in \mathbb{R} \quad d(x, y)=\left\{\begin{array}{ll} 0, & x=y \\ 1, & x \neq y \end{array}\right. \] When is \( A \subset \math
In the discrete metric space defined on the real numbers, every subset (A) is both open and closed.
In the given context, where the real numbers are equipped with the discrete distance function, we have (d(x, y) = 0) if and only if (x = y), and (d(x, y) = 1) if (x \neq y).
Now let's consider a subset (A \subset \mathbb{R}). We want to determine when (A) is an open set, closed set, or neither.
Open Sets:
In this discrete metric space, every singleton {x} (a set containing a single element) is an open set because for any (x \in A), there exists a neighborhood around (x) that contains no other elements of (A) (except itself) due to the definition of the discrete metric.
So, if (A) consists of only isolated points (singletons), i.e., (A = {x_1, x_2, x_3, \ldots}) where (x_i \neq x_j) for (i \neq j), then (A) is an open set.
Closed Sets:
In this discrete metric space, any subset (A) of the real numbers can be considered closed because the complement of (A) is also open. This is because the neighborhoods around each point in (\mathbb{R} \setminus A) contain only points from (\mathbb{R} \setminus A).
Therefore, any subset (A) of (\mathbb{R}) is closed.
Neither Open nor Closed Sets:
There are no subsets in this metric space that are neither open nor closed since every subset is either open or closed.
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Which expression represents the surface area of the prism?
Answer:
D
Step-by-step explanation:
The corners are 2
The sides can be 5 or 3
3 is after 2 and 5 is before 2
Answer:
15 + 15 + 10 + 10 + 6 + 6
This is the sum of the areas of the 6 rectangular faces.
Hope this helped.
Compute the effective annual rate of interest at which $ 2,000
will grow to $ 3,000 in seven years if compounded quarterly Express
the final answer as a % rounded to 2 decimal places .
The formula for calculating the effective annual rate of interest with quarterly compounding is:
(1 + r/4)^4 - 1 = A/P
where r is the quarterly interest rate, A is the final amount, and P is the principal.
In this case, P = $2,000, A = $3,000, and the time period is 7 years or 28 quarters.
So we have:
(1 + r/4)^4 - 1 = 3000/2000
(1 + r/4)^4 = 1.5
1 + r/4 = (1.5)^(1/4)
r/4 = (1.5)^(1/4) - 1
r = 4[(1.5)^(1/4) - 1]
To get the effective annual rate, we need to convert the quarterly rate to an annual rate by multiplying by 4:
effective annual rate = 4[(1.5)^(1/4) - 1] ≈ 8.84%
Therefore, the effective annual rate of interest at which $2,000 will grow to $3,000 in seven years if compounded quarterly is approximately 8.84%, rounded to 2 decimal places.
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In a data set with a, b, c, d, e, and f numeric variables, given there are strong correlation of these pairs (f, a), (f, c), (d, e), (a, d), we can set up a regression model as:
Of-a + c Of-a + b + c + d + e Of-a + C + d + e Of-a + C + e
Given two predictor variables with correlation at 0.32879, we should expect there is multicollinearity between them.
Given two predictor variables with a correlation of 0.32879, we should expect there to be multicollinearity between them.
In a data set with a, b, c, d, e, and f numeric variables, given there is a strong correlation of these pairs (f, a), (f, c), (d, e), (a, d), we can set up a regression model as
Of-a + c Of-a + b + c + d + e Of-a + C + d + e Of-a + C + e.
Given two predictor variables with a correlation of 0.32879, we should expect there is multicollinearity between them.
The statement that is true regarding the given two predictor variables with a correlation of 0.32879 is:
we should expect there to be multicollinearity between them.
Multicollinearity is a situation in which two or more predictor variables in a multiple regression model are highly correlated with one another. Multicollinearity complicates the understanding of which predictor variables are significant in the regression model's estimation.
Therefore, given two predictor variables with a correlation of 0.32879, we should expect there to be multicollinearity between them.
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Find the value of x.
Answer: 12.65
Step-by-step explanation:
Ive never solved a problem like this, but this is how I would solve it. You first want to find the height of the triangle by using the Pythagorean theorem. Solve for the height by using the left triangle.
\((4\sqrt{2} )^2=4^2+b^2\\32=16+b^2\\16=b^2\\b=4\)
b is the height, the dotted line, of both triangles. Now do the Pythagorean theorem on the right triangle to find the value of x
\(12^2+4^2=x^2\\144+16=x^2\\160=x^2\\x=\sqrt{160} \\x=12.649=12.65\)
I need help, its due trm please ASAP!!!
From the situation described in the problem, we have that:
a) The sinusoidal function that models the depth of the water is given by: D(t) = 2sin(π/6x) + 3.
b) After 4 hours, the depth is of 4.732 meters.
How is the sine function defined?The sine function is defined as follows:
g(x) = a sin(bx+c)+d.
The coefficients are defined as follows:
a: amplitude.b: The period is of 2π/B.c: phase shift.d: vertical shift.For this problem, the minimum value is of 1 and the maximum value is of 5, having a difference of 4, hence the amplitude is found as follows:
2a = 4 -> a = 2.
A standard sine function with an amplitude of 2 varies between -2 and 2, while this varies between 1 and 5, meaning that it had a vertical shift up 3 units, and d = 3.
The period is of 12 hours, hence:
2π/B = 12
12B = 2π
B = π/6.
The function has no phase shift, hence c = 0 and the function is given by:
D(t) = 2sin(π/6x) + 3.
From point (4, 4.732) on the graph of the function, after 4 hours, the depth is of 4.732 meters.
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build a polynomial of degree 3 with real coefficients and zeros 1 and I
Polynomials
A polynomial can be built if we know its zeros, also called roots
Suppose p,q, and r are the roots of a polynomial of degree 3, then:
p(x)=a(x-p)(x-q)(x-r)
Where a is a real number different from 0
Note we are only given two roots:
p=1
q=i
recall that i is the base of the complex numbers, that is:
\(\mathbf{i}=\sqrt{-1}\)The third root comes when we recall that, if a polynomial has real coefficients, the complex roots come in conjugate pairs, i.e. if a+bi is one root of the polynomial, then a-bi is also a root of the polynomial.
Thus, the other root is the conjugate of q:
r=-i
Now we have all the roots, we just apply the above equation to find:
p(x)=a(x-p)(x-q)(x-r)
p(x)=a(x-1)(x-i)(x+i)
Recall that
\(\mleft(x-i\mright)\mleft(x+i\mright)=x^2-i^2\)Since
\(i^2=-1\)\((x-i)(x+i)=x^2+1\)Finally, the required polynomial is:
\(p\mleft(x\mright)=a\mleft(x-1\mright)(x^2+1)\)Since no other condition is given, we choose a=1:
\(p(x)=(x-1)(x^2+1)\)This is the required polynomial
Operating the products:
\(p(x)=(x-1)(x^2+1)=x^3+x-x^2-1\)Ordering:
\(p(x)=x^3-x^2+x-1\)What’s the largest 3 digit that can be devided into 6,7,8?
Answer:
There are none.
Step-by-step explanation:
The factors of 6 are: 1, 2, 3, 6
The factors of 7 are: 1, 7
The factors of 8 are: 1, 2, 4, 8
Then the greatest common factor is 1.
Hope this helped! ^ ^
2. Megan's aquarium measures 20 inches long, 14 inches wide, and 18 inches high. How many cubic inches of water would it take to completely fill the aquarium?
It would take 5040 cubic inches of water to completely fill the aquarium.
We know that the formula for the volume of cuboid :
V = length × width × height
Let us assume that l represents the length of the aquarium, w represent the width and h represents the height.
Here, l = 20 inches
w = 14 inches
and h = 18 inches
Using the formula for the volume of cuboid, the volume of aquarium would be,
V = l × w × h
V = 20 × 14 × 18
V = 5040 cu.in.
Therefore, it would take 5040 cu.in. of water.
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Suppose that a travel bureau claims that the trees in a forest are 83 feet tall on average, With a standard deviation of 2 feet if you took a sample of 64 trees, which of the following mean heights would be outside the 95% confidence interval
Answer:
Step-by-step explanation:
Given mean = 84,
Standard deviation = 2,
Sample 64,
95% confidence interval: z = 1.96
Applying empirical rule , means that 95% of data fall within two standard deviations.
ME = = 0.49
Rounding this to 0.5
CI = 83.5< mean < 84.5
Outside of this range= x ≤ 83.5 and ≥ 84.5
My test told me that 83.6 was right.