trent is filling up a 15 gallon pool.If 1 gallon is about 3.79 liters,how many liters will fill up this pool?
Answer: 56.85
Step-by-step explanation:
So, what you have to do is multiply 15 x 3.79=56.85.
The center of the circle is G. Below is a student's work to find the
value of x. Explain the error and find the correct value of x.
Answer:
The error are
1) The use of the angle addition postulate, for [tex]m \widehat{ACD}[/tex]
2) The assumption that [tex]m \widehat{BC}[/tex] = 90°
The vertical angle property between [tex]m \widehat{CD}[/tex] and [tex]m \widehat{FA}[/tex] should be used to find 'x'
x = 5
Step-by-step explanation:
From the drawing of the circle, we are given;
AD = A diameter of the circle
∴ [tex]m \widehat{ACD}[/tex] = 180°
By angle addition postulate, we have;
[tex]m \widehat{ACD}[/tex] = [tex]m \widehat{AB}[/tex] + [tex]m \widehat{BC}[/tex] + [tex]m \widehat{CD}[/tex]
By substitution property of equality, we have;
180° = [tex]m \widehat{AB}[/tex] + [tex]m \widehat{BC}[/tex] + [tex]m \widehat{CD}[/tex]
[tex]m \widehat{AB}[/tex] = 5·x°
[tex]m \widehat{BC}[/tex] = Not given
[tex]m \widehat{CD}[/tex] = 15·x°
However;
[tex]m \widehat{CD}[/tex] is the vertically opposite angle to [tex]m \widehat{FA}[/tex]
∴ [tex]m \widehat{CD}[/tex] = [tex]m \widehat{FA}[/tex] = (16·x - 5)°
[tex]m \widehat{CD}[/tex] = 15·x° = (16·x - 5)°
15·x° = (16·x - 5)°
∴ 5 = 16·x° - 15·x° = x
x = 5
[tex]m \widehat{BC}[/tex] = 180° - ([tex]m \widehat{AB}[/tex] + [tex]m \widehat{CD}[/tex]) = 180° - (15·x° + 5·x°) = 180° - (20·x°)
[tex]m \widehat{BC}[/tex] = 180 - (20×5)° = 80°
[tex]m \widehat{BC}[/tex] = 80°
The error are the use of the angle addition postulate, for [tex]m \widehat{ACD}[/tex], and the assumption that [tex]m \widehat{BC}[/tex] = 90° rather than the vertical angle property between [tex]m \widehat{CD}[/tex] and [tex]m \widehat{FA}[/tex] in trying to find 'x', from which x = 5.
i need an answer to this with workings
pls type it if ur answering..cos file links aren't working
Expand (a-b)^7
Answer:
[tex]a^7-7a^6b+21a^5b^2-35a^4b^3+35a^3b^4-21a^2b^5+7ab^6-b^7[/tex]
Step-by-step explanation:
There are multiple ways of expanding a polynomial expression to a high degree. One way of doing it is to write out the problem in the multiplication form, multiply (a - b) by itself (7) times.
[tex](a-b)^7[/tex]
[tex]=(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)[/tex]
Now simplify, multiply two terms together,
[tex]=(a^2-2ab+b^2)(a^2-2ab+b^2)(a^2-2ab+b^2)(a-b)[/tex]
Repeat this process,
[tex]=(a^4-4a^3b+6a^2b^2-4ab^3+b^4)(a^3-3a^2b+3ab^2-b^3)[/tex]
Repeat this process one final time,
[tex]a^7-7a^6b+21a^5b^2-35a^4b^3+35a^3b^4-21a^2b^5+7ab^6-b^7[/tex]
HELP! I NEED THIS QUESTION ANSWERED ASAP!!!!!
HERE!
Angle X measures 53°
What type of angle is angle X?
Answers:
1 ) Obtuse
2) Right
3) Acute
Answer:
3 ) Acute
Step-by-step explanation:
Acute Angle - An angle less than 90 degrees.
Right Angle - An angle that is exactly 90 degrees.
Obtuse Angle - An angle more than 90 degrees and less than 180 degrees.
Straight Angle - An angle that is exactly 180 degrees.
Answer:
3)Acute
Step-by-step explanation:
any angle that is under a 90 degree angle or a right angle, is an acute angle. any angle that is above 90 degrees or a right angle is an obtuse andgle
A recent article in Business Week listed the "Best Small Companies." We are interested in the current results of the companies' sales and earnings. A random sample of 8 companies was selected and the sales and earnings, in millions of dollars, are reported below. Sales ($million) 89.2 18.6 18.2 71.7 58.6 46.8 17.5 11.9 Earnings ($million) 4.9 4.4 1.3 8 6.6 4.1 2.6 1.7 Let sales be the independent variable and earnings be the dependent variable. (i) Determine the estimated regression equation and comment on the coefficient of X. (ii) For a small company with $50.0 million in sales, estimate the earnings. (iii) Calculate the standard error of estimate and comment on it. (iv) Find the coefficient of determination and interpret the result.
Answer:
(i) The estimated regression equation is;
[tex]\hat y[/tex] ≈ 1.6896 + 0.0604·X
The coefficient of 'X' indicates that [tex]\hat y[/tex] increase by a multiple of 0.0604 for each million dollar increase in sales, X
(ii) The estimated earnings for the company is approximately $4.7096 million
(iii) The standard error of estimate is approximately 29.34
The high standard error of estimate indicates that individual mean do not accurately represent the population mean
(iv) The coefficient of determination is approximately 0.57925
The coefficient of determination indicates that the probability of the coordinate of a new point of data to be located on the line is 0.57925
Step-by-step explanation:
The given data is presented as follows;
[tex]\begin{array}{ccc}Sales \ (\$million)&&Earning \ (\$million) \\89.2&&4.9\\18.6&&4.4\\18.2&&1.3\\71.7&&8\\58.6&&6.6\\46.8&&4.1\\17.5&&2.6\\11.9&&1.7\end{array}[/tex]
(i) From the data, we have;
The regression equation can be presented as follows;
[tex]\hat y[/tex] = b₀ + b₁·x
Where;
b₁ = The slope given as follows;
[tex]b_1 = \dfrac{\Sigma(x_i - \overline x) \cdot (y_i - \overline y)}{\Sigma(x_i - \overline x)^2}[/tex]
b₀ = [tex]\overline y[/tex] - b₁·[tex]\overline x[/tex]
From the data, we have;
[tex]{\Sigma(x_i - \overline x) \cdot (y_i - \overline y)}[/tex] = 364.05
[tex]\Sigma(x_i - \overline x)^2}[/tex] = 6,027.259
[tex]\overline y[/tex] = 4.2
[tex]\overline x[/tex] = 41.5625
∴ b₁ = 364.05/6,027.259 ≈ 0.06040059005
b₀ = 4.2 - 0.06040059005 × 41.5625 ≈ 1.68960047605 ≈ 1.69
Therefore, we have the regression equation as follows;
[tex]\hat y[/tex] ≈ 1.6896 + 0.0604·X
The coefficient of 'X' indicates that the earnings increase by a multiple of 0.0604 for each million dollar increase in sales
(ii) For the small company, we have;
X = $50.0 million, therefore, we get;
[tex]\hat y[/tex] = 1.6896 + 0.0604 × 50 = 4.7096
The estimated earnings for the company, [tex]\hat y[/tex] = 4.7096 million
(iii) The standard error of estimate, σ, is given by the following formula;
[tex]\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{n - 1}}[/tex]
Where;
n = The sample size
Therefore, we have;
[tex]\sigma =\sqrt{\dfrac{6,027.259 }{8 - 1}} \approx 29.34[/tex]
The standard error of estimate, σ ≈ 29.34
The high standard error of estimate indicates that it is very unlikely that a given mean value within the data is a representation of the true population mean
(iv) The coefficient of determination (R Square) is given as follows;
[tex]R^2 = \dfrac{SSR}{SST}[/tex]
Where;
SSR = The Sum of Squared Regression ≈ 21.9884
SST = The total variation in the sample ≈ 37.96
Therefore, R² ≈ 21.9884/37.96 ≈ 0.57925
The coefficient of determination, R² ≈ 0.57925.
Therefore, by the coefficient of determination, the likelihood of a new introduced data point to located on the line is 0.57925
Can someone help me with this. Will mark brainliest.
Look at screen shot below
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Answer:
1st option is the correct answer
An ellipse has foci located at (2,4) and (2,16) and vertices located at (2,0) and (2,20) this ellipse is vertical
Answer:
The equation of the ellipse is [tex]\frac{(x-2)^{2}}{8^{2}}+\frac{(y-10)^{2}}{10^{2}} = 1[/tex].
Step-by-step explanation:
The statement is incomplete, the most probable outcome may be the equation of the ellipse based on information given.
The equation of an ellipse whose major axis is vertical and is centered at a point different from origin is defined by:
[tex]\frac{(x-h)^{2}}{b^{2}} + \frac{(y-h)^{2}}{a^{2}} = 1[/tex] (1)
Where:
[tex](h,k)[/tex] - Coordinates of the center of the ellipse.
[tex](x,y)[/tex] - Coordinates of a point in the line of the ellipse.
[tex]a[/tex] - Length of the major semiaxis.
[tex]b[/tex] - Length of the minor semiaxis.
The coordinates of the center of the ellipse is midpoint of the segment between vertices, which are collinear with foci:
[tex](h,k) = \frac{1}{2}\cdot V_{1} (x,y) + \frac{1}{2}\cdot V_{2}(x,y)[/tex] (1)
Where [tex]V_{1} (x,y)[/tex] and [tex]V_{2} (x,y)[/tex] are the coordinates of the vertices.
If we know that [tex]V_{1} (x,y) = (2,0)[/tex] and [tex]V_{2} (x,y) = (2, 20)[/tex], then the coordinates of the center ellipse are:
[tex](h,k) = (2, 10)[/tex]
The length of the semimajor axis can be determined by using the following vectorial expression, which is equivalent to the Pythagorean Theorem:
[tex]a = \sqrt{[(h,k)-V_{1}(x,y)]\,\bullet\,[(h,k)-V_{1}(x,y)]}[/tex] (2)
If we know that [tex](h,k) = (2, 10)[/tex] and [tex]V_{1} (x,y) = (2,0)[/tex], then the length of the semimajor axis is:
[tex]a = \sqrt{(2-2)^{2}+(10-0)^{2}}[/tex]
[tex]a = 10[/tex]
And the length of the minor semiaxis is found by means of this Pythagorean identity:
[tex]b = \sqrt{a^{2}-c^{2}}[/tex] (3)
Where [tex]c[/tex] is the length between the center and any of the foci. This distance can be found by using this vectorial formula:
[tex]c = \sqrt{[(h,k)-F_{1}(x,y)]\,\bullet\,[(h,k)-F_{1}(x,y)]}[/tex] (4)
If we know that [tex](h,k) = (2, 10)[/tex] and [tex]F_{1} (x,y) = (2,4)[/tex], then the length between the center and any of the foci is:
[tex]c = \sqrt{(2-2)^{2}+(10-4)^{2}}[/tex]
[tex]c = 6[/tex]
And the length of the minor semiaxis is:
[tex]b = \sqrt{10^{2}-6^{2}}[/tex]
[tex]b = 8[/tex]
FInally, the equation of the ellipse is [tex]\frac{(x-2)^{2}}{8^{2}}+\frac{(y-10)^{2}}{10^{2}} = 1[/tex].
if it is exactly 8:00, How long does it take for the hands of the clock to be pointed in the same direction
Answer:
Hey! do not go to brainly for this, sometimes brainly can be no help and people will scam for points, or maybe try to hack you (pt virus) with those links saying the answers there.. I am not saying this for points but go to https://www.varsitytutors.com/basic_geometry-help/how-to-find-the-distance-between-clock-hands for that
Step-by-step explanation:
So don't waste your time on brainly finding answers, you can run out of points fast, some people wont answer at all.
What is the products? (2t+1)(t-4)
Step-by-step explanation:
hsusbdjdhssjzssisbzjshzbzbaizussbissbisbsisbsssj
Please answer with explanation
Answer:
1. if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = 6/2= 3. Thus, the equation describing this direct variation is y = 3x.
2. Partial Variation, where two variables are related by a formula, such as the formula for a straight line (with a non-zero y-intercept)
example :
in the milk factory Carol makes $10 per hour but gets an extra $20 from another job. since Carol gets a $20 allowance regardless of how much she works, if we want to represent Carol's situation in the form of an equation, it would be
Y=10x + 20
therefore if she worked zero hours
(Y=10(0) + 20),
she would still make $20 unconditionally and for every hour she works, she gets $10 more including the initial $20.
thus Carol's equation would be a partial variation, since her income doesn't entirely depend on how much she works.
3. a relation is non linear because it is has a direct relationship between an independent variable and a dependent variable.
In a relation, changes in the output do not change in direct proportion to changes in any of the inputs.
relations does not create a straight line but instead creates a curve.
I WILL NOT ACCEPT LINKS! AND WILL REPORT!!! Please help with this geometry question. An explanation would be nice!
ON=5.099
Hope it helps
A meteorologist in Seattle says there is a 75% chance of rain. A meteorologist in Tacoma says there is a 1/4 chance of rain. In which city is it more likely to rain?
A. Seattle
B. Tacoma
C. Batesville
D. Both have the same chance
Complete the pattern. 1/9, 1/3, 1, ?
Answer:
The answer is 3
Write 6431 to the nearest thousand.
the answer is 6430
Answer:
the nearest thousand would be 6000
Step-by-step explanation:
above 6500 would have been 7000
Answer:
6000
Step-by-step explanation:
Plzz help will give Brainiest. Need it now plzz
Step-by-step explanation:
The solution in the photo above, I know it is not very clear sorry for that :)
I hope that is useful for you :)
Jan notes that 6 out of every 18 cars that pass her on the
highway are red. Which of the following is the best prediction of
how many red cars will pass Jan out of the next 54 cars that go
by?
A) 6
B) 18
C) 48
D) 54
Answer:
B) 18
Step-by-step explanation:
6 out of 18 is 6/18 = 1/3
1/3 x 54 = 18
pls help me with this problem
Answer:
Angle A: 90
Angle B: 48
Angle C: 42
Side length A (Hypotinuse): 23.9
SIde length B (Opposite): 17.8
Side length C (Adjacent): 16
Step-by-step explanation:
https://www.calculator.net/triangle-calculator.html?vc=42&vx=&vy=&va=90&vz=16&vb=&angleunits=d&x=0&y=0
PLEASE HELP ILL GIVE BRAINLIEST
SHOW YOUR WORK
Given h(x)=4x-4h(x)=4x−4, find h(-3)h(−3).
Answer:1
Step-by-step explanation:
4x-4x+4=4h(x)
4=4h(x)
h(x)=1
h(-3)h(-3)=(1)(1)=1
PLSSSSS HELPPP solve for x, round to nearest tenth
Answer:
17.6
Step-by-step explanation:
Jon didn’t follow the order of operations. Explain what he did wrong.
Alexis traveled 2.3 km to visit her purchase groceries at the supermarket she travels another 600m to get some vitamin C at the pharmacy how much how many meters did Alex to travel in Total?
Answer:
2.9 km
Step-by-step explanation:
Just add up the two distances: 2.3 km + 600 m = 2.3 km + 0.6 km = 2.9 km total
I need this answer as soon as possible and also can u explain it
Answer:
56
Step-by-step explanation:
x=5
so x for the gym is 5 and x+3=5+3=8
add 5 and 8 because that is a whole side.
we are trying to find perimeter which us the outside of the shape. you are just going to "walk the fence" . so now, we have two sides of 15 and two sides of 13 (5+8). 13+13=26. 15+15=30
add the 26 and 30
Hello, I gotta turn it turn in this question today, help!!!!!!
Answer:
2 or -2
Step-by-step explanation:
If x² - 8x = -12
Step 1
We find x by solving
x² - 8x = -12
We equate to zero
x² - 8x + 12 = 0
We factorise
x² - 6x - 2x + 12 = 0
x(x - 6) -2(x - 6) = 0
(x - 6) (x - 2) = 0
x - 6 = 0, x = 6
x - 2 = 0, x = 2
x = 6 or 2
Step 2
What is x - 4?
When x = 6
= 6 - 4 = 2
When x = 2
= 2 - 4 = -2
Therefore, x - 4 = 2 or -2
What is the length of AD??
Answer:
d
Step-by-step explanation:
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15
Decide whether each expression simplifies to a number less than-1, greater than 1, or
Neither
neither. Mark an X in the correct column for each expression.
Greater than 1
Less than -1
Expression
-7+ (-4)
-(3 ÷ 2)
(-5) ÷ (-3)
(-9) - 6
Answer:
less than -1
less than -1
greater than 1
greater than 1
Step-by-step explanation:
[tex] - 7 + - 4 = - 7 - 4 = - (7 + 4) = - 11[/tex]
LESS THAN -1
________________________________
[tex] - ( \frac{3}{2} ) = - (1.5) = - 1.5[/tex]
LESS THAN -1
________________________________
[tex] \frac{( - 5)}{( - 3)} = \frac{5}{3} = 1.66..[/tex]
GREATER THAN 1
________________________________
[tex]( - 9) - 6 = - 9 - 6 = - (9 + 6) = - 15[/tex]
LESS THAN -1
________________________________
Complete the equations by entering the whole numbers that are equal to the fractions.
8
8
=
3
3
=
30
10
=
9
3
=
6
3
=
12
6
=
Answer:
Not sure if these are the fractions, tell me if they are wrong.
8/8 = 1
3/3 = 1
30/10 = 3
9/3 = 3
Can someone help me with this. Will Mark brainliest.
Answer:
false
Step-by-step explanation:
a parallelogram is defined as a four sided figure with opposing sides parallel. So, a rectangle counts as a parallelogram, but all of its sides aren't equal
plzzz help square paralellogram
Answer:
1. x=12
2. x=7
Step-by-step explanation: