Which expression is equivalent to root 180
Answers
Answer:
No expressions listed. Some possibilities are below.
Step-by-step explanation:
(180)^(1/2)
Since 180 = 5*36, we can wite 6*\(\sqrt{5\\}\)
Related Questions
CAN SOMEONE PLEASE HELP MEEEE? PLEASSEEE. EMERGENCY!! 30 POINTS!! PLEASE AND THANK YOU.
Answers
Answer:
\(\sqrt{2n^{2}}\)
You have the side lengths of the two legs, n and n.
Then, using the pythagorean theorem you have to find the length of the third side:
\(a^2 + b^2 = c^2\\n^2 + n^2 = c^2\\2n^2 = c ^ 2\\\sqrt{2n^2} = c\)
where c is the third side
Brainliest for the correct awnser!! A calculator was used to perform a linear regression on the values in the table. The results are shown to the right of the table.What is the line of best fit?A.y = –0.984x + 13.5B.y = –2.9x + 13.5C.–0.984 = –2.9x + 13.5D.y = 13.5x – 2.9
Answers
Answer:
Option B
Step-by-step explanation:
Taking the derivative of the residual function, then applying the normal equation:
[a; b] = (X'*X)^(X'*y)
with
X = [1 1; 2 1; 3 1; 4 1; 5 1]
X' is transpose of X
y = [11; 8; 4; 1; 0]
[a; b] = [-2.9 13.5]
angle of elevation and depression
Answers
Answer:
Solved Examples on Angle of Depression: 1. From the top of a tower, a man finds that the angle of depression of a car on the ground is 30°. If the car is at a distance 40 metres from the tower, find the height of the tower.
Step-by-step explanation:
The equation of the parabola with foci \( (2,1) \) and vertex \( (2,4) \) is: a. \( (y-4)^{2}=12(x-2) \) b. \( (x-2)^{2}=-12(y-4) \) c. \( (y-4)^{2}=-12(x-2) \) d. \( (x-2)^{2}=12(y-4) \)
Answers
The correct option is option (c) that is the equation of the parabola with foci (2,1) and vertex (2,4) is given by (y-4)² = -12(x-2).
The equation of a parabola with a vertical axis of symmetry can be written in the form:
(y-k)² = 4a(x-h),
where (h, k) is the vertex and 4a is the distance between the vertex and the focus.
In this case, the vertex is (2,4), so h = 2 and k = 4.
The focus is given as (2,1), which means the distance between the vertex and the focus is 3.
Therefore, 4a = 3, or a = 3/4.
Substituting the values of h, k, and a into the general form of the equation, we get
(y-4)² = 4(3/4)(x-2),
which simplifies to (y-4)² = -12(x-2).
Thus, the correct equation for the parabola is (y-4)² = -12(x-2), which corresponds to option c.
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PLEASE HELP Tell whether the ordered pair is a solution of the equation w/explanation. 7x - 6y = 11; (-1, -3)
Answers
Answer:
Since the equation 11 = 11 is true, we can conclude that the ordered pair (-1, -3) is indeed a solution of the equation 7x - 6y = 11.
The number of members in the band was 82 in 2000 and has decreased by 8% each year. Which model shows the band's membership in terms of t, the number of years since 2000?
Answers
Given:
The number of members in the band was 82 in 2000.
The number of members decreased by 8% each year.
Required:
We need to find the model for the given situation.
Explanation:
Let t be the number of years since 2000.
Let y be the number of members in t number of years since 2000.
The initial value is 82.
The number of members is decreasing.
Consider the exponential decay equation.
\(y=82(1-\frac{8}{100})^t\)\(y=82(1-0.08)^t\)\(y=82(0.92)^t\)Final answer:
\(y=82(0.92)^t\)Ten percent of the engines manufactured on an assembly line are defective.
(1) If engines are randomly selected one at a time and tested what is the probability that the first non defective engine will be found on the second trial?
(2) What is the probability that the third non defective engine will be found on the fifth trial?
(3) Find the mean and variance of the number of trials on which the first non defective engine is found.
(4) Find the mean and variance of the number of trials on which the third non defective engine is found.
Answers
(1) The probability that the first non-defective engine will be found on the second trial from the assembly line is 0.10 (probability of the first engine being defective) * 0.90 (probability of the second engine being non-defective) = 0.09 or 9%.
(2) To find the probability that the third non-defective engine will be found on the fifth trial, we need to find the probability of having two non-defective engines in the first four trials and a non-defective engine on the fifth trial. This can be represented as DNNND, NDNDN, and NDDNN. So, the probability is 3 * (0.10 * 0.90^2 * 0.10 * 0.90) = 0.0729 or 7.29%.
(3) The mean and variance of the number of trials on which the first non-defective engine is found can be calculated using the geometric distribution. The mean is 1 / p (where p is the probability of success), which is 1 / 0.90 = 1.1111. The variance is (1 - p) / p^2, which is 0.10 / (0.90^2) = 0.1235.
(4) The mean and variance of the number of trials on which the third non-defective engine is found can be calculated using the negative binomial distribution. The mean is r / p (where r is the number of successes and p is the probability of success), which is 3 / 0.90 = 3.3333. The variance is r(1 - p) / p^2, which is 3 * 0.10 / (0.90^2) = 0.3704.
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She selects 150 trees at random from her orchard and uses this fertilizer on those trees and estimates the following regression: Y
^
i
=600+4.93X i
, where Y
^
i
denotes the predicted number of apricots obtained from the I th tree and X i
denotes the number of units of fertilizer used on the I th tree. A. H 0
:β 1
≥5.14 and H 1
:β 1
<5.14. B. H 0
:β 1
>4.93 and H 1
:β 1
≤4.93. C. H 0
:β 1
=5.14 and H 1
:β 1
=5.14. D. H 0
:β 0
=4.93 and H 1
:β 0
=4.93. Suppose the standard error of the estimated slope is 0.74. The t-statistic associated with the test Wendy wishes to conduct is (Round your answer to two decimal places. Enter a minus sign if your answer is negative.1
Answers
Given statement solution is :- The t-statistic associated with the test is approximately -0.28.
The t-statistic, which is used in statistics, measures how far a parameter's estimated value deviates from its hypothesised value relative to its standard error. Through the Student's t-test, it is utilised in hypothesis testing. In a t-test, the t-statistic is used to decide whether to accept or reject the null hypothesis.
To find the t-statistic associated with the test, we need to calculate the test statistic using the estimated slope coefficient, the null hypothesis, and the standard error.
The estimated slope coefficient is 4.93.
The null hypothesis is H₀: β₁ ≥ 5.14 (stating that the true slope coefficient is greater than or equal to 5.14).
The predicted slope's standard error is 0.74.
The formula to calculate the t-statistic is:
t = (estimated slope - hypothesized slope) / standard error
Plugging in the values:
t = (4.93 - 5.14) / 0.74
t = -0.21 / 0.74
t ≈ -0.28 (rounded to two decimal places)
Therefore, the t-statistic associated with the test is approximately -0.28.
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2. Which of the following is not an example of
a perfect square?
a. 9 +
b. 200
c. 4
.
d. 64
Answers
Answer:
B. 200
Step-by-step explanation:
A perfect square is the multiplication of two equal integers such as 1*1=1, 2*2=4, 3*3=9. From the examples, 1, 4, 9 are perfect square.
Non perfect square numbers are 1*2=2,
3*1=3,
5*1=5,
3*2=6,
6*1=6,
7*1=7
Examples of perfect squares:
1*1=1
2*2=4,
3*3=9,
4*4= 16,
5*5=25,
6*6=36,
7*7=49,
8*8=64,
9*9=81,
10*10=100,
11*11=121,
12*12=144,
13*13=169,
14*14=196,
15*15=225 and so on
Which point represents the value of –(–2) on the number line?
A number line has points A, negative 3, B, blank, 0, blank, C, 3, D.
Point A
Point B
Point C
Point D
Answers
The point that is -2 on the number line is point B. Option B
What is the number line?We know that the number line can be taken as a representation of the numbers. We ought to know that the numbers that we find on the number line are the numbers that are increasing to the right as shown.
In the question that we have, the task that is before us is that we should be able to locate the point on the number line that has been labelled as -2 on this the point B non the line. This is the point that is read off as -2.
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helpppppppppppppppppp
Answers
Answer: A and B are correct
Step-by-step explanation: You just multiply the numbers and they both equal -1.12
23 +42
0-24
О-3/16
O3/16
Answers
Step-by-step explanation:
23+42=65
0-24=-24
0-3/16=-3/16= -1875
03/16=0.1875
Help. I wil give credit
Write an equation and solve the problems below.
1) Angle 1 and angle 2 are complementary angles. If angle 1 measures (3x + 2), what is the measure of angle 2?
2) Angle A and angle b are supplementary angles. Angle A measures (2m – 10) degrees and angle b measures (m + 25) degrees. Find the measure of angle A and angle b.
3) Three angles are supplementary angles. If one angle measures 25 degrees, the second angle measures m + 15. The third angle measures 2m degrees. What is the value of m?
Answers
Answer:
Step-by-step explanation:
1) Angle 1 and angle 2 are complementary angles. If angle 1 measures (3x + 2), what is the measure of angle 2? 3x+2 + y = 90
2) Angle A and angle b are supplementary angles. Angle A measures (2m – 10) degrees and angle b measures (m + 25) degrees. Find the measure of angle A and angle b.
3) Three angles are supplementary angles. If one angle measures 25 degrees, the second angle measures m + 15. The third angle measures 2m degrees. What is the value of m?
help!? me please help mee
Answers
Answer:
X=7
Step-by-step explanation:
in order to get everything out of the square root, just square both sides.
This will give you x + 1 = 2x - 6
move like terms to each side and you’ll end up with x = 7
Tim is choosing between two cell phone plans that offer the same amount of free minutes. Sprint’s plan charges $39.99 per month with additional minutes costing $0.45. Verizon’s plan costs $44.99 with additional minutes at $0.40. How many additional minutes will it take for the two plans to cost the same?
Answers
Answer:
100 minutes
Step-by-step explanation:
Sprints = $39.99 +&0.45
Verizon= $44.99+$0.40
Step 1: Equate the values
\(39.99 + 0.45m = 44.99 + 0.40m\)
Step 2 :Collect like terms and simplify
\(0.45m - 0.40m = 44.99 - 39.99 \\ 0.05m = 5\)
Step 3 :Divide both sides of the equation by 0.05
\( \frac{0.05m}{0.05} = \frac{5}{0.05} \)
Step 4 :Simplify
\(m = 100 \\ = 100 \: minutes\)
Brigid is picking strawberries at the Pick-Your-Own Farm. Her goal is to pick 5 bushels of strawberries. She has already picked 1
1
2
bushels, and she picks at a rate of
5
8
bushel per hour. The scenario is represented as
5
8
h + 1
1
2
= 5, where h is the number of hours she picks. How many more hours will it take Brigid to fill 5 bushels of strawberries?
2 and StartFraction 3 Over 16 EndFraction hours
2 and StartFraction 3 Over 16 EndFraction hours
5 and three-fifths hours
10 and two-fifths hours
Answers
Answer:
We can start by isolating the variable "h".
5 8 h + 1 1 2 = 5
Subtracting 11/2 from both sides:
5 8 h = 5 - 1 1 2
Simplifying:
5 8 h = 8 1 2
Dividing both sides by 5/8:
h = 8 1 2 ÷ 5 8
Converting the mixed number to an improper fraction:
h = (8 x 8 + 1) ÷ 5 8
h = 65/8
Now, we can convert this fraction to a mixed number:
h = 8 1/8
Brigid has already picked for 8 1/8 hours, so the amount of time needed to pick the remaining strawberries is:
5 - (1 1/2 + 5/8 x 8) = 5 - (3 5/8) = 1 3/8
Therefore, Brigid still needs to pick for 1 3/8 hours to fill 5 bushels of strawberries. The answer is 1 and 3/8 hours or 2 and 3/16 hours (if simplified).
Step-by-step explanation:
externally tangent circles with centers at points a and b have radii of lengths 55 and 33, respectively. a line externally tangent to both circles intersects ray abab at point cc. what is bcbc?
Answers
When a line that is externally tangent to both circles intersects ray AB at point C, the value of BC is 12.
What is meant by tangent circle?A tangent line to a circle in Euclidean plane geometry is a line that touches the circle at exactly one point while never entering the circle's interior. Tangent lines to circles are the topic of various theorems and are used in several geometrical constructions and proofs.
A tangent to a circle is a straight line that touches the circle just once. This is referred to as the point of tangency. The tangent to a circle is perpendicular to the radius at the point of tangency.
Let D and E be the tangent points of circles A and B with line CD, AB=8.
Also, set BC to x.
Because ADC and BEC are at right angles,
At the point of tangency, the radius is perpendicular to a tangent line, and both triangles share ACD, ADCBEC.
We can calculate the proportion from this.
BC/AC=BE/AD
x/(x+8)=3/5
5x=3x+24
2x=24
x=12
As a result, the value of BC=12
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"Externally tangent circles with centers at points A and B have radii of lengths 5 and 3, respectively. A line externally tangent to both circles intersects ray AB at point C. What is BC?"
plss help me due now
Answers
Answer:
B
Step-by-step explanation:
Hi!!
since they both equal y so we can set these equations equal to each other
60x+30=70x
-60x. -60x
30=10x
/10. /10
3=x
3 hours is x and now we can fill in x to find y
y=70(3)
y=210
210 miles so B is the correct answer
Hopes this helps please mark brainliest
PLEASE HELP IF YOU KNOW GEOMETRY THIS SHOULD BE EASY
Answers
Answer:
Growth
Step-by-step explanation:
When x value increase, y value also increase, So growth.
When x = 1 ;f(1) = 2
When x = 2 ; f(2) = 2² = 4
When x = 3 ; f(3) = 2³ = 8
Answer:
Exponential Growth
Step-by-step explanation:
I found this photo that helps differentiate both growth and decay :)
I hope this helps! :)
Select all the expressions that have a value of 22 – 33 + 29. help a girl out! <3
Answers
Answer:
2. 8³ - 14 × 6² - 2
4. |-6|
5. 7² - 3.1 - 19 × 2.1
Step-by-step explanation:
To find the expressions, find the solution of the given equation, then solve for each answer choice to see if the soultions match. If they do, then the expressions are equivalent.
2² - 3³ + 29
4 - 27 + 29 = 6
6 is the value were looking for.
1. (78 ÷ 3) - \(2^{4}\)
(78 ÷ 3) - 16
26 - 16
= 10
not equal
2. 8³ - 14 × 6² - 2
512 - 14 × 36 - 2
512 - 504 - 2
= 6
equal
3. -|-6|
= -6
not equal
4. |-6|
= 6
equal
5. 7² - 3.1 - 19 · 2.1
49 - 3.1 - 19 · 2.1
49 - 3.1 - 39.9
45.9 - 39.9
= 6
equal
Hence, choices 2, 4, and 5 have a value of 2² - 3³ + 29.
hope this helps!
Suppose that six different experimental runs are to be made on the first day of experimentation. Of the six are randomly selected from among all the possibilities, so that any group of six has the same probability of selection, what is the probability that a different catalyst is used on each run
Answers
The probability of using a different catalyst for each run is 1.
The given data can be expressed as follows: Six different experimental runs are to be made on the first day of experimentation. If six are randomly selected from among all the possibilities, so that any group of six has the same probability of selection, what is the probability that a different catalyst is used on each run?
We are to determine the probability of using a different catalyst for each run, which is the probability of choosing the six catalysts from six different catalysts. Possible number of ways to select 6 catalysts from 6 = 6C6 = 1
Thus, there is only one way to select 6 different catalysts for 6 different runs. Therefore, the probability of using a different catalyst for each run is 1.
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Show that if n is a positive integer, then ∑ {a1,...,ak }⊆{1,2,...,n} 1 a1a2 · · · ak = n
Answers
The polynomial expansion evaluates to n for x = 1, we can conclude that the sum of the reciprocals of all these products is also equal to n.
The sum of the reciprocals of all products of k distinct positive integers (a1, a2,..., ak) is denoted by the expression "a1,...,ak," where each ai is selected from the set "1,2,...,n."
To show that this aggregate equivalents n, we can consider the polynomial extension of (1 + x)(1 + x^2)(1 + x^3)...(1 + x^n). Each term in this extension addresses a result of unmistakable powers of x, going from 0 to n.
Presently, assuming we assess this polynomial at x = 1, each term becomes 1, and we acquire the amount of all results of k unmistakable positive numbers, where every whole number is browsed the set {1,2,...,n}.
Since the polynomial development assesses to n for x = 1, we can infer that the amount of the reciprocals of this multitude of items is likewise equivalent to n.
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On a bicycle trail, the city is painting arrows like the one shown below:
Upper pointing arrow with height of 15 and length of 13. Rectangular base of arrow has length of 11 and height of 12. All units are in centimeters.
Calculate the area of the arrow by decomposing it into rectangles and triangles. (4 points)
195 square centimeters
171 square centimeters
151.5 square centimeters
148.5 square centimeters
Answers
The Area of the composite figure = area of the rectangle + area of the triangle = 148.5 cm².
What is the Area of a Composite Figure?The figure formed by the arrow can be decomposed into a rectangle and a triangle.
The area of the composite figure = area of the rectangle + area of the triangle.
Find the area of the rectangle:
Length = 12 cm
Width = 11 cm
Area of the rectangle = (length)(width) = (12)(11)
Area of the rectangle = 132 cm²
Find the area of the triangle
Base = 11 cm
Height = 15 - 12 = 3 cm
Area of the triangle = 1/2(b)(h) = 1/2(11)(3)
Area of the triangle = 16.5 cm²
Area of the composite figure = area of the rectangle + area of the triangle = 132 + 16.5 = 148.5 cm².
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A bag contains 2 black chips, 5 red chips, and 4 white chips. You pick a chip
this process 99 times, how many times do you expect to remove a red chip
from the bag, record its color, and put the chip back in the bag. If you repeat
from the bag?
Answers
Answer:
Step-by-step explanation:
total chips=2+5+4=11
reqd probability=(5/11)^{99}
WILL GIVE BRAINLEST Find the measure of the arc or central angle indicated. Assume that lines which
appear to be diameters are actual diameters.
find the measure of arc FHJ
Answers
Answer:
It should be 261 degrees.
Step-by-step explanation:
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
12, 9, 6, ...
Answers
Answer:
geometric t2-t1
Step-by-step explanation:
divide the second term by the first to get the common ratio
Answer: This is an arithmetic sequence and the common difference is equal to -3.
Step-by-step explanation:
F={(-1, 2), (3, 2), (4,2), (0, 2)} Is Fa function and why/why not?
Answers
Answer:
yes it is a function A
Step-by-step explanation:
A restaurant sells 10 tacos for $8.49, or 6 of the same kind of taco for $5.40. Which is the better deal? NEED THIS ASAP
Answers
Answer:
849
Step-by-step explanation:
To get the better deal, you should find the selling prices for a single tacos in both cases and compare the amounts.
In the first one, 10 tacos for $8.49
This means 1 tacos sells for $8.49/10 = $0.849
In the second one, 6 for $5.40, this means for a single tacos, the selling price is $5.40/6 =$0.9
The better deal is the first one that sells one taco for $0.849 compared to the second one that sells one tacos for $0.9
Answer:
The better deal is the 6 tacos for $5.40
Step-by-step explanation:
10/8.49= $1.18
6/5.40=$1.1
The 6 tacos are about $1.11 per taco and the the 100 tacos are $1.18 per taco
Secants ⎯⎯⎯⎯⎯⎯⎯⎯⎯ and ⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯ intersect in the exterior of a circle. DJH measures 191° and EG measures 53°. Determine the measure of ∠ EFG.
Answers
Answer:
\( m\angle EFG =69\degree \)
Step-by-step explanation:
\( m\angle EFG =\frac{1}{2}(191- 53)\degree \)
\( m\angle EFG =\frac{1}{2}\times 138\degree \)
\( m\angle EFG =69\degree \)
Solve for x 0<_3x-6<_18
Answers
Answer: 30
Step-by-step explanation: first you do 3x6 and get 12 then you add 1 and get 30.
Answer:
2 ≤ x ≤ 8
Step-by-step explanation:
0 ≤ 3x - 6 ≤ 18 ( add 6 to each interval )
6 ≤ 3x ≤ 24 ( divide each interval by 3 )
2 ≤ x ≤ 8