If angles are supplementary, then one of the angles is an obtuse angle
a. True
b. False
Answers
Related Questions
One sample has n = 5 scores and the second has n = 10 scores.if the pooled variance for the two sample is 30, then what is the value of the estimated standard error for the sample mean difference?
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The estimated standard error for the mean difference between two samples with sizes of 5 and 10 respectively, and a pooled variance of 30, is calculated using the standard error formula. The standard error is 3.
Explanation:The question you've asked falls under the realm of statistics, in specific it involves the calculation of the estimated standard error for differences between two sample means (one with n=5 scores and the second with n=10 scores) given a pooled variance of 30.
The formula to find the estimated standard error for a difference between two sample means is:
SE = sqrt[(s1^2/n1) + (s2^2/n2)]
Where s1^2 and s2^2 are the variances of the two samples and n1 and n2 are the sizes of two samples respectively. As we do not know the variances for the individual samples, we can use the pooled variance as an estimate. The pooled variance can be considered as s1^2 = s2^2 = 30.
Now substitute these values in the equation, we get:
SE = sqrt[(30/5) + (30/10)] = sqrt[6+3] = sqrt[9] = 3
So, the estimated standard error for the mean difference between these two samples is 3.
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The sum of two numbers is 54. their difference is 34. find the numbers.
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x - y = 34
----------------add
2x = 88
x = 88/2
x = 44
x + y = 54
44 + y = 54
y = 54 - 44
y = 10
so ur 2 numbers are 44 and 10
Using the Quadratic Formula, which of the following is the solution to the quadratic equation 5x2 + 10x - 5 = 0?
x = -1 -√2, x = -1 + √2
x = -1 -√5, x = -1 + √5
x = 1 -√2, x = 1 + √2
x = -1 -√201, x = -1 + √201
Answers
The value of solution of quadratic equation 5x² + 10x - 5 = 0 is,
⇒ x = - 1 ± √2
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
Equation is,
5x² + 10x - 5 = 0
Now, We can solve by using quadratic formula as;
⇒ x = - 10 ± √10² - 4×5×- 5 / (2×5)
⇒ x = - 10 ± √100 + 100 / 10
⇒ x = - 10 ± √200 / 10
⇒ x = - 1 ± √2
Thus, The value of solution of quadratic equation 5x² + 10x - 5 = 0 is,
⇒ x = - 1 ± √2
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calculate the slope of the line given the points (-2, 6) and (0, 4)
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First, you would need to plug the coordinates into the slope formula.
[tex] \frac{4 - 6}{0 - (-2)} [/tex]
Now, all you would need to do is solve and simplify it.
[tex] \frac{4 - 6}{0 - (-2)} [/tex] = [tex] \frac{-2}{2} [/tex] = -1
The slope would be -1.
I hope this helps!
The slope of the line given the points (-2, 6) and (0, 4) is -1. The correct answer would be option (A).
What is the slope of the line?The slope of a line is defined as the angle of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
We have to determine the slope of the line given the points (-2, 6) and (0, 4)
Plugging in the given points, we get:
m = (4 - 6) / (0 - (-2)) = -2 / 2 = -1
So, the slope of the line is -1.
Hence, the correct answer would be an option (A).
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How to find the fourth term of a binomial expansion?
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Start with just the variable exponents which will be numbered in ascending and descending order.
example (without coefficients)
(x+y)^3 = x^3(y^0) + x^2(y^1) + x^1(y^2) + x^0(y^3)
If the binomial is (x-y)^3 the +/- signs will toggle like so.. (again leaving out coefficients)
(x-y)^3 = x^3(y^0) - x^2(y^1) + x^1(y^2) - x^0(y^3)
If there is a coefficient or power inside the binomial like (x^2+2y)^3 these are also raised to the appropriate power.
(x^2+2y)^3 = (x^2)^3(y^0)(2^0) + (x^2)^2(y^1)(2^1) + ....
now there are also coefficients for each term which follow a combination pattern of Pascal triangle. C(3,0) ; C(3,1) ; C(3,2) ; C(3,3)
these get multiplied by each term.
So the 4th term of (x^2-2y)^3
will be negative
have coefficient of: C(3,3) * (2^3) = 8
variables: x^0(y^3) = y^3
= -8y^3
Your height can be represented by a function h , where the input is your age.
What Does h(14) represent?
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The 70 highest dams in the world have an average height of 206 meters with a standard deviation of 35 meters. the hoover and grand coulee dams have heights of 221 and 168 meters, respectively. the russian dams, the nurek and charvak, have heights with z-scores of +2.69 and – 1.13, respectively. list the dams in order of ascending size.
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μ = 206 m, the mean
σ = 35 m, the standard deviation.
By definition, the z-score for the random variable ,x, is
z = (x - μ)/σ
Therefore,
x = μ + σz
The heights of the given dams are
Hoover:
x = 221 m
Grand Coulee:
x = 168 m
Nurek:
z = 2.69
x = 206 + 35*2.69 = 300.15 m
Hoover:
z = -1.13
x = 206 - 35*1.13 = 166.45 m
Answer:
In ascending order of x, the dams are
Charvak
Grand Coulee
Hoover
Nurek
To write 10-7 in standard form, you would write a decimal number with:
1s in the first 7 decimal places.
1s in the first 6 decimal places and 0 in the 7th decimal place.
0s in the first 6 decimal places and 1 in the 7th decimal place.
0s in the first 7 decimal places and 1 in the 8th decimal place.
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Its the 3rd choice.
Answer:
mine is 6.7
Step-by-step explanation:
BRAINLIEST AND WORTH 10 POINTS!
What is the value of z in the equation 2(4z − 6 − 6) = 170 − 46?
12.5, 15.5, 16.5, 18.5
How many solutions does the equation 5x + 3x − 4 = 10 have?
Zero, One, Two, Infinitely many
What is the value of z in the equation 4(2z + 3) = 12?
−13, 12, 0, 12
What is the solution to the following equation?
5(2x − 6) + 20 = 10
9, 5, 3, 2The steps below show the incomplete solution to find the value of x for the equation
5x − 2x − 3 = −2 + 15:
Step 1: 5x − 2x − 3 = −2 + 15
Step 2: 5x − 2x − 3 = 13
Step 3: 3x − 3 = 13
Which of these is most likely the next step?
3x = 16, 3x = 10, 3x = 39, 3x = 3
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Answer: 3x=10
Step-by-step explanation:
Experts/ace where do i out the dots?
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divide total paid by number of pencils for price of 1 pencil
4.50 / 18 = 0.25 for 1
so you would put a dot at (1, 0.25) (2,0.5) (3,0.75) etc and draw a line through the dots
see attached picture:
Simplify the expression where possible.
(-5x^2)^3
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-5x^2*3=
-5x^6
-125x^6. When multiplying exponents you add them and 5^3 =125. since 3 is odd, then you keep the negative sign
What is the value of x?
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The value of unknown variable x in the right angled triangle is equal to approximately 20 units.
To find the value of x using the concept of similar triangles,
Use the property that in a right triangle, the altitude drawn from the right angle to the hypotenuse creates three similar triangles.
In triangle QRS, m∠R = 90°.
RS = x (unknown).
RT is an altitude on hypotenuse QS.
ST = 9.
QT = 16.
Now, set up the following ratios for the similar triangles:
In triangle QRT:
QR / QT = RT / ST
In triangle QRS:
QR / QS = RS / ST
Since triangle QRS is a right triangle, we can use the Pythagorean Theorem to find the value of QR:
QR² + RS² = QS²
QR² + x²= (QT + ST)²
QR² + x² = (16 + 9)²
QR²+ x² = 25²
Now, let's use the first similarity ratio to find QR in terms of ST:
QR / QT = RT / ST
QR / 16 = RT / 9
QR = (RT × 16) / 9
Since triangle QRT is also a right triangle, we can use the Pythagorean Theorem again:
QR² + RT² = QT²
((RT × 16) / 9)² + RT² = 16²
(RT² ×256) / 81 + RT²= 256
(RT² ×256 + 81 × RT²) / 81 = 256
(RT² × 337) / 81 = 256
RT² = (256 ×81) / 337
RT² ≈ 61.771
RT ≈ √61.771
RT ≈ 7.859
Now, substitute RT back into the expression for QR:
QR = (RT× 16) / 9
QR = (7.859 × 16) / 9
QR ≈ 13.927
Finally, substitute QR into the Pythagorean Theorem equation we obtained earlier to find the value of x:
QR² + x² = 25²
(13.927)² + x² = 625
193.931 + x² = 625
x² = 625 - 193.931
x² ≈ 431.069
x ≈ √431.069
x ≈ 20.059
Therefore, the value of x in the right triangle is approximately 20 units.
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plz help me i make you the bralnlyiest personOn a flight home from college, Elizabeth had to pay $20 to check her bag, plus $8 for every pound over the weight limit. On the flight back to college, she paid $26 to check her bag and $5 for every pound over the weight limit. If the total baggage fees were the same for each trip: 1. Write a system of equations to describe the situation. 2. How much over the weight limit was Elizabeth’s bag? 3. What was the baggage fee paid to
each airline? PLZ ANSWER FAST
Answers
20 + 8x = 26 + 5y
Now, we have two unknowns, but only one independent equation. This is unsolvable unless we make an assumption. Suppose the excess weight for both trips are the same such that x=y, then,
20 + 8x = 26 + 5x
2. Then, we solve for x.
8x - 5x = 26 - 20
3x = 6
x = 6/3 = 2 lb
Thus, Elizabeth's bag was 2 lb over the weight limit.
3. The total baggage fee would then be:
20+8(2) = 26 + 5(2) = $36
Answer:
36
Step-by-step explanation:
took it
Urgent please!!!!!!!!!!!!!!!!!!!!!
Which of the following best defines ? Square root of 16 Cube root of 4 Square root of 4 Cube root of 16
Square root of 16
Cube root of 4
Square root of 4
Cube root of 16
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_____________________________________________________
Explanation:
______________________________________________
" Square root of 16 Cube root of 4 Square root of 4 Cube root of 16" =
√16 * ∛6 *√4 *∛16 =
√16 * √4 * ∛6 * ∛16 =
4 * 2 * ∛6 * ∛16 =
8 * (∛6 * ∛16) =
8 * (∛(6 * 16) =
8 * (∛96) = ?
_________________________
What are the factors of "96" ? And do any of them have "perfect cube"? (since "96" does not) ??
_________________________
96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96.___________________________________
Not: "8" is a perfect cube: ∛8 = 2 ;
and: "8 * 12 = 96" ;
_________________________________
So; ∛(96) = ∛8 * ∛(12) = 2* ∛(12) .
__________________________________
and:
___________________________________
8 * (∛96) = 8 * 2 * ∛(12) ;
___________________________________
= 16 * ∛12 ; or, use a calculator to multiply to find the value:
= 36.6308557617066198 ; round to 35.631 .
___________________________________
The question involves understanding square roots and cube roots in mathematics. The square root of 16 is 4 and of 4 is 2. The cube root of 4 is about 1.587 and of 16 is approximately 2.52.
Explanation:The question is related to the concept of roots, specifically square roots and cube roots. A square root of a number is a value that, when multiplied by itself, gives the original number. The square root of 16 is 4 because 4*4 equals 16. Similarly, the square root of 4 is 2 because 2*2 equals 4.
On the other hand, the cube root of a number is a value that, when multiplied by itself twice, gives the original number. The cube root of 4 is approximately 1.587 because 1.587*1.587*1.587 is roughly equal to 4. The cube root of 16 is approximately 2.52 because 2.52*2.52*2.52 is roughly equal to 16.
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Find the missing side lengths.
Answers
since the known angle is 45 degrees both the height and the base are equal
so y = 6
the hypotenuse (x) on a 45 degree triangle = the side time sqrt(2)
so x = 6sqrt(2)
A square with an area of 49 in2 is rotated to form a cylinder. What is the volume of the cylinder? Round to the nearest tenth.
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so, the height of the cylinder, will be a dimension of the square, and its radius, is also a dimension of the square, since the square is being rotated about to make it.
[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h\quad \begin{cases} r=radius\\ h=height\\ -----\\ r=7\\ h=7 \end{cases}\implies V=\pi \cdot 7^2\cdot 7[/tex]
What is 2 9/10 - 1 7/18?
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the sum of a number and 80 is greater than the product of -3 and that number. what are the possible values for the number?
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x +80 >-3x
add 3x to each side
4x+80 >0
subtract 80 from each side
4x>-80
divide both sides by 4
x > -80/4
x>-20
When Lisa purchased her house, the mortgage lender required her homeowner's insurance to cover 100% of the loan amount. After many years, Lisa paid off her mortgage. If Lisa decided to comparison shop for homeowner's insurance now, what should the insurance coverage amount be based on…
Answers
When Lisa purchased her house, the mortgage lender required her homeowner's insurance to cover 100% of the loan amount. After many years, Lisa paid off her mortgage. If Lisa decided to comparison shop for homeowner's insurance now, then the insurance coverage amount be based on the cost to rebuild the house.
EXPERTS/ACE are these functions explain??!
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I would say they are not a function
looking at the x values
2-1 =1
4-2=2
6-4=2
they aren't all the same
now the Y's
4- -1 = 5
6-4 =2
8-6 =2
they are not all the same either
What is the area of a parallelogram whose vertices are A(−1, 12) , B(13, 12) , C(2, −5) , and D(−12, −5) ?
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Answer: The area of the parallelogram with the given vertices=238 square units.
Step-by-step explanation:
Let CD be the base of the parallelogram ABCD is given by distance formula
CD=[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} =\sqrt{(-12-2)^2+(-5-(-5))^2} =\sqrt{196} =14[/tex]units[or you can count distance by using graph as ordinates of C and D are same to we can count the distance of x from C to D]
Now consider P a point on CD such that AP become the height of the parallelogram which is given by (from the graph attached)=17 [as abscissa of P and A are same to we can count the distance of y from A to P]
Area of parallelogram = base × height=14×17=238 square units.
which graph shows the inequality n>2
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hope this helps!
Solve V = 1/3(3.14)r^2h for h
Answers
=1.046r^2h
Solving for V
With a mine over the 6
A line segment or ray that is perpendicular to the segment at its midpoint is called
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A line segment or ray that is perpendicular to the segment at its midpoint is called perpendicular bisector.
What are perpendicular lines?A straight line that forms a 90° angle with another line is said to be perpendicular. A small square is placed between two perpendicular lines, as seen in the illustration, to indicate a right angle, also known as a 90° angle. The two lines in this instance are considered to be perpendicular to one another because they intersect at a straight angle.
A line that divides a line segment into two equal halves and forms a 90° angle at the place of intersection is called a perpendicular bisector. In other words, a perpendicular bisector splits a line segment at its halfway, creating a 90° angle.
Therefore, a line segment or ray that is perpendicular to the segment at its midpoint is called perpendicular bisector.
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Solve 7x - 2(x + 1) = 6x + 14
A) -12
B) 12
C) -16
D) 16
Answers
7x - 2x - 2 = 6x + 14
5x - 2 = 6x + 14
6x - 5x = -2 - 14
x = -16
answer
C) -16
A total of 210 people attended the opening night of a school musical. Student tickets cost $3.00 each while general admission tickets cost $7.50 each. If total sales were $1296, how many general admission tickets were sold?
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Phoebe, Andy and Polly share £270.
Phoebe gets 3 times the amount as Andy who gets twice as much as Polly.
Work out how much they get each
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Money of Phoebe - 3 times as much as Andy
Money of Andy - 2 times as much as Polly
Total money of Phoebe, - £270
Andy and Polly
*Solution
Let
B - Phoebe's money
A - Andy's money
L - Polly's money
1. The money of the Phoebe, Andy, and Polly, when added together would total £270. Thus,
B + A + L = £270 (EQUATION 1)
2. Phoebe has three times as much money as Andy and this is expressed as
B = 3A
3. Andy has twice as much money as Polly and this is expressed as
A = 2L (EQUATION 2)
4. This means that Phoebe has ____ as much money as Polly,
B = 3A
B = 3 x (2L)
B = 6L (EQUATION 3)
This step allows us to eliminate the variables B and A in EQUATION 1 by expressing the equation in terms of Polly's money only.
5. Substituting B with 6L, and A with 2L, EQUATION 1 becomes,
6L + 2L + L = £270
9L = £270
L = £30
So, Polly has £30.
6. Substituting L into EQUATIONS 2 and 3 would give us the values for Andy's money and Phoebe's money, respectively.
A = 2L
A = 2(£30)
A = £60
Andy has £60
B = 6L
B = 6(£30)
B = £180
Phoebe has £180
Therefore, Polly's money is £30, Andy's is £60, and Phoebe's is £180.
Phoebe got £180, Andy got £60 and Polly got £30
The amount shared is given as:
Amount = £270
Represent Phoebe's share with x, Andy's with y and Polly's with z.
From the question, we have:
x = 3y
y = 2z
So, we have:
x : y : z = 3y : 2z : z
This gives
x : y : z = 6z : 2z : z
When £270 is shared in the above ratio, we have:
x : y : z = 180 : 60 : 30
Hence, Phoebe got £180, Andy got £60 and Polly got £30
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Carl’s taxable income is $36,064. He is filing as married filing jointly, and he has already paid $4110 in federal taxes. What will he receive or pay after he figures his taxes for the year?
Answers
The answer is B. He will pay $431.
3x + 2y + z = 8 2x - 3y + 2z = -16 x + 4y - z = 20
Answers
x+5y+2z=23
8x+4y+3z=12
9x-3y-7z=-10
Multiplying the first equation by -8 and adding it to the second one (to get rid of the x) and also multiplying the first equation by -9 and adding the third one to get rid of the x there too, we end up with
-36y-13z=-92
and
-48y-25z=-217
Multiplying both equations by -1, we get
36y+13z=-92
48y+25z=217
Multiplying the (new) first equation by -4/3 and adding it to the second (to get rid of the y), we get
(7+2/3)z=94+1/3
Dividing both sides by (7+2/3) to separate the z, we get
z=[tex] \frac{282/3}{23/3} = \frac{282}{23} [/tex]
Plugging that into
48y+25z=217, we can subtract 25z from both sides and divide by 48 to get
[tex]y= \frac{217-25z}{48} =\frac{217-25*282/23}{48}[/tex]
Lastly, we plug this into x+5y+2z=23 to get
x=23-5y-2z by subtracting 5y+2z from both sides to get
[tex]x=23- \frac{217-25*282/23}{48}*5-2*282/23[/tex]
Good luck, and feel free to ask with any questions!
OHHHHHH!!!! I have a math problem Help me Will give Brainliest
Answers
Question 2 is C.
question 5 is a