60 degrees and 40 degrees. This is because point A is around 75 degrees and point B is around 50 degrees. If you round those down you can get the answer.
Hoped this helped.
\(BrainiacUser1357\)
50 points! Which expression is equivalent to
We have,
= -6(3x - 2/3)
= -6(3x × 3 - 2)/3
= -6(9x - 2)/3
= -2(9x - 2)
= (-18x + 4)
Your answer will be option number 4.
Answer:
- 18x + 4
Step-by-step explanation:
\(-6(3x-\frac{2}{3})\)
- 18x + 4
Identify and describe the error in the incorrect counselor's work.
Answer:
?????????
Step-by-step explanation:
?????????
4+x = 5x+2. find x. 180 is the total of this equation
Answer:
x=
Step-by-step explanation:
4+x-2=5x+2-2
2+x-x=5x-x
2=4x
2/4
Answer:
x = 45.5
Step-by-step explanation:
Move one side of the equation to the other side of the equal sign.
4 + x = 5x + 2
x = 5x - 2
=4x - 2
Then put the 180 on the empty side because the total is 180.
180 = 4x - 2
Then solve for x
182 = 4x
45.5 = x
FIND THE DISTANCE BETWEEN THE POINTS. ROUND THE ANSWER TO TWO DECIMAL POINTS (3,2) (8,2)
Answer:5
Step-by-step explanation:
If you are looking for the distance then start counting on the first decimal and stop at the second
The same amount of principal is invested in different accounts earning the same interest rate.
Which of the following accounts would have the greatest accumulated value at the end of one year?
A.An account eaming no interest
B.An account eaming simple interest
C.An account eaming interest compounded annually
D.An account earming interest compounded daily
Answer:
D.An account earming interest compounded daily
Step-by-step explanation:
An account earning interest compounded daily would have accumulated the greatest value at the end of the year.
Compound interest is interest on interest. In compound interest, the interest is calculated on the principal and interest accrued. This makes the value highest. For the account compounded daily, the interest on interest is taken every day. It has a power of 365. For compound interest accrued annually, the interest compounded yearly. Simple interest is basically on the principal.Answer: D! On edge 2021
Step-by-step explanation:
I just took the test :)
Rationalize the denominator 2√5/√6
Step-by-step explanation:
to rationalise the denominator, you need to multiply the denominator with itself and the numerator.
pls help!!
AB + BC = AC
AB = BC
What property allows AB + BC = AC to become AB + AB = AC?
27
Answer:
Substitution ( even though I prefer Common sense)
Square M and square P are similar.
M
y-axis
P
x-axis
Which sequence of transformations could be applied to square M to map it to square
P?
O a reflection over the x-axis followed by a translation up
O a reflection over the y-axis followed by a translation to the right
O a reflection over the x-axis followed by a dilation by a factor less than 1
O a reflection over the y-axis followed by a dilation by a factor greater than 1
The correct sequence of transformations that could be applied to square M to map it to square P is a reflection over the y-axis followed by a dilation by a factor greater than 1
Reflection over the y-axis reflects the square across the y-axis, effectively switching the positions of the points on the left and right sides of the square.
This is necessary because square M is positioned along the y-axis, while square P is positioned along the x-axis.
After reflecting the square over the y-axis, we need to scale it up to match the size of square P.
Since square P is positioned along the x-axis, which is a greater distance from the origin compared to the y-axis, a dilation by a factor greater than 1 is required to enlarge the square accordingly.
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Proving that a symmetric matrix is positive definite iff all eigenvalues are positive
The length ||x||2 is positive, we must have λ
is positive. It follows that every eigenvalue λ
of A is real.
What affirms this assertion?Recall that the eigenvalues of a real symmetric matrix are real.
Let λ be a (real) eigenvalue of A and let x be a corresponding real eigenvector. That is, we have
Ax=λx.
Then we multiply by xᵀ on left and obtain
xᵀAx = λxᵀx = λ || x || 2.
The left hand side is positive as A is positive definite and x is a nonzero vector as it is an eigenvector.
Since the length ||x||2 is positive, we must have λ
is positive. It follows that every eigenvalue λ
of A is real.
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HELP MEEE PLEASE I WILL GIVE BRAINLY!!
(Find the area of the composite figure).
Answer:
the answer I got was 82,944
Step-by-step explanation:
12×12=24×12=288×24=6,912×12=82,844
Vectors v1, v2, v3 are linearly independent. Indicate sets of vectors that are equal to span {v1, v2, v3}
Span{v1, v2, v3, 0}
Span{v1, v1-v2, v3}
Span{v1, v2}
- Span{v1, v2, v3, 0} is equal to the span of {v1, v2, v3}.
- Span{v1, v1-v2, v3} is equal to the span of {v1, v2, v3}.
- Span{v1, v2} is NOT equal to the span of {v1, v2, v3}.
Let's analyze each of the sets of vectors to determine if they are equal to the span of {v1, v2, v3}:
1. Span{v1, v2, v3, 0}:
This set is equal to the span of {v1, v2, v3} because adding the zero vector (0) does not affect the linear independence or the span of the other vectors.
A span is the set of all possible linear combinations of the vectors, and since the zero vector does not change the linear combinations, the span remains the same.
2. Span{v1, v1-v2, v3}:
This set is also equal to the span of {v1, v2, v3}.
The reason is that the vector (v1-v2) can be written as a linear combination of v1 and v2: (v1-v2) = 1*v1 + (-1)*v2.
Since all vectors in this set can be expressed as linear combinations of {v1, v2, v3}, the span remains the same.
3. Span{v1, v2}:
This set is NOT equal to the span of {v1, v2, v3} because it is missing the vector v3.
Since v1, v2, and v3 are linearly independent, removing one of them (v3 in this case) means that the set cannot span the same space as {v1, v2, v3}.
It has a lower dimension, and therefore, the span is different.
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34 = -w/7 solve for w
Answer: w = -238
Step-by-step explanation:
\(34=\frac{-w}{7}\)
Switch sides
\(\frac{-w}{7} =34\)
Multiply both sides by 7
\(\frac{7\left(-w\right)}{7} =34\cdot \:7\)
Simplify
-w = 238
Divide both sides by -1
\(\frac{-w}{-1}=\frac{238}{-1}\)
Simplify
w = -238
If I made any mistakes, please let me know!
I hope this helped :)
Use Trigonometric substitution to eliminate the roots 1.1. 164+2 + 1 Use Trigonometric substitution to eliminate the roots 1.1. V64+2 + 1 1.2. V4z2 – 49
To eliminate the roots in 1.1 and 1.2, we can use trigonometric substitution. In 1.1, we can substitute x = 4 sin(theta) to eliminate the root of 4. In 1.2, we can substitute z = 7 sin(theta) to eliminate the root of 7.
1.1. V64+2 + 1 We can substitute x = 4 sin(theta) to eliminate the root of 4. This gives us:
V64+2 + 1 = V(16 sin^2(theta) + 2 + 1) = V16 sin^2(theta) + V3 = 4 sin(theta) V3 1.2. V4z2 – 49
We can substitute z = 7 sin(theta) to eliminate the root of 7. This gives us:
V4z2 – 49 = V4(7 sin^2(theta)) – 49 = V28 sin^2(theta) – 49 = 7 sin(theta) V4 – 7 = 7 sin(theta) (2 – 1) = 7 sin(theta)
Here is a more detailed explanation of the substitution:
In 1.1, we know that the root of 4 is 2. We can substitute x = 4 sin(theta) to eliminate this root. This is because sin(theta) can take on any value between -1 and 1, including 2.
When we substitute x = 4 sin(theta), the expression becomes V64+2 + 1 = V(16 sin^2(theta) + 2 + 1) = V16 sin^2(theta) + V3 = 4 sin(theta) V3
In 1.2, we know that the root of 7 is 7/4. We can substitute z = 7 sin(theta) to eliminate this root. This is because sin(theta) can take on any value between -1 and 1, including 7/4.
When we substitute z = 7 sin(theta), the expression becomes: V4z2 – 49 = V4(7 sin^2(theta)) – 49 = V28 sin^2(theta) – 49 = 7 sin(theta) V4 – 7 = 7 sin(theta)
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The cost of 6 pounds of oranges is $20.82. What is the constant of proportionality that relates the cost in dollars, y, to the number of pound of oranges, x?
The constant of proportionality is the cost per pound of oranges, and it is 3.47 dollars per pound.
How to get the constant of proportionality?
A general proportional relationship can be written as:
y = k*x
Where k is the constant of proportionality.
In this case, we can define the variables:
x = number of pounds oranges.
y = cost of these oranges.
Here we know that the cost of 6 pounds of oranges is $20.82, replacing these values we will get:
$20.82 = k*6 lb
$20.82/6lb = k
$3.47 per lb = k
The constant of proportionality is 3.47 dollars per pound.
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During one year,the mass of a a child increased from 25kg to 30kg Calculate the percentage increase in the mass
Hello!
30 - 25 = 5
so + 5kg
+ 5kg = + 5kg/25kg = + 5/25 = + 0.2 = + 20/100 = + 20%
Answer is 20%help- soon- please-
Based on the information provided, the original price for the banana split would be $2.4.
How to find the original price of a product by using the price after the discount?To find the original price of a product in this case we can use the rule of three with the information provided as follows:
Price after the discount $0.96 which represents 40% of the price. Then:
0.96 = 40% or 0.4
x = 100% or 1
x= 1 x 0.96 / 0.4 = 2.4
We can prove this is correct by applying the discount to the price obtained:
2.4 x 0.4 = 0.96
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Find x:
(Round the answer to the nearest tenth if there is a decimal)
Answer:Angle x is congruent with the interior angle opposite side 8 (alternate interior angles)
Use tangent:
tan x = 8/15
x = arctan (8/15)
x = 28.1° (rounded)
Step-by-step explanation:
A company estimates that it will need $97,000 in 13 years to replace a computer. If it establishes a sinking fund by making fixed monthly payments into an account paying 3.2% compounded monthly, how much should each payment be? (Round your answer to the nearest cent. Do not include any symbols. Example: 56789.12)
Thus, the company must consider fixed monthly payments of amount $497.92 into the account to reach $97,000 in 13 years.
To find the monthly payment needed to reach $97,000 in 13 years, we can use the sinking fund formula:
FV = PMT * [(1 + i)^n - 1] / i
where:
FV = future value ($97,000)
PMT = monthly payment (unknown)
i = monthly interest rate (3.2% compounded monthly, which is 0.032 / 12 = 0.002667)
n = number of months (13 years * 12 months/year = 156 months)
Rearrange the formula to solve for PMT:
PMT = FV * i / [(1 + i)^n - 1]
PMT = 97,000 * 0.002667 / [(1 + 0.002667)^156 - 1]
PMT ≈ 497.92
So, the company should make fixed monthly payments of approximately $497.92 into the account to reach $97,000 in 13 years.
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all eight vertices of a unit cube are on a sphere (i.e. the cube is inscribed in the sphere). what is the surface area of the sphere?
To find the surface area of the sphere with a unit cube inscribed, we first need to determine the radius of the sphere. A unit cube has side length 1, and its vertices are at a distance of 1 unit from each other. Since all eight vertices of the cube are on the sphere, we can consider the longest diagonal of the cube to calculate the diameter of the sphere.
The longest diagonal of the cube can be calculated using the Pythagorean theorem in three dimensions: the square of the diagonal (d²) is equal to the sum of the squares of the side lengths (a² + b² + c²), where a, b, and c are the side lengths of the unit cube. In this case, a = b = c = 1. So, d² = 1² + 1² + 1² = 3. Thus, d = √3.
The diameter (d) of the sphere is equal to the longest diagonal of the cube. Therefore, the radius (r) of the sphere is half of the diameter: r = d/2 = √3/2.
Now that we have the radius, we can calculate the surface area (A) of the sphere using the formula: A = 4πr². Plugging in the radius, we get:
A = 4π(√3/2)² = 4π(3/4) = 3π.
So, the surface area of the sphere is 3π square units.
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Which word below means ¨to make as small as possible
Answer:
Minimize
Step-by-step explanation:
Hope this helps!
Luis tenía un saco de patatas de 95 kg. Ha vendido 10bolsas de 2,5kg cada una. ¿Cuántos kilos de patatas le quedan?
Answer:
A Luis le quedan 70 kg de patatas.
Step-by-step explanation:
Para encontrar la respuesta, primero tienes que determinar la cantidad total de patatas que Luis ha vendido multiplicando la cantidad de kilos en cada bolsa por el número de bolsas vendidas:
2,5kg*10=25 kg
Ahora que sabes que Luis ha vendido 25 kg de patatas puedes restar esto de la cantidad de kilos que tenía para saber cuánto le queda:
95-25=70
De acuerdo a esto, la respuesta es que a Luis le quedan 70 kg de patatas.
Paul took a 140 mile trip on his motorcycle. If he drove 60% of his trip on the first day, how many miles did Paul drive on day one? Answer value
Answer:
84 miles
Step-by-step explanation: 140/100 x 60 which gives you 84 miles
Which functions have a horizontal asymptote? y = f(x) y = h(x) y = g(x) y = k(x)
Each function out of the given 4 functions has a horizontal asymptote.
What is an asymptote?An asymptote is a straight line that continually approaches a given curve but does not meet it at any finite distance.
Mathematically, if y=k is a horizontal asymptote for a function x=f(y) the limiting value of the function is infinity as y→k.
Out of the given curves, for every curve limiting value of the function tends to infinity as y→0
So, each function out of the given 4 functions has a horizontal asymptote.
Therefore, each function out of the given 4 functions has a horizontal asymptote.
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Answer:
All of them
Step-by-step explanation:
help I will give brainiest is you answer with a explanation
Answer:
35°
Step-by-step explanation:
As we know vertically opposite angles are equal . So ,
x + 90= 125
x = 125-90 = 35°
Answer:
35
Step-by-step explanation:
125 + 90(APC) + DPA + EPB + x = 360
215 + DPA + EPB + x = 360
DPA = 180 - 125 = 55
EPB = DPA
EPB = 55
X = 90(EPC) - EPB
X = 90 - 55
X = 35
OR easy way
DB is a straight line so angels on it add up to 180
EPB = 180 - 125
EPB = 55
X = 90(EPC) - EPB
X = 90 - 55
X = 35
you generate electricity with your own personal wind turbine? That depends on whether you have enough wind on your site. To produce enough energy, your site should have an annual average wind speed of at least 8 miles per
ding to the Wind Energy Association. One candidate site was monitored for a year, with wind speeds recorded every 6 hours. A total of 1114 readings of wind speed averaged 8.019 mph with a standard deviation of 3.813 mph. Youl
I asked to make a statistical report to help the landowner decide whether to place a wind turbine at this site. Complete parts a and b below.
The 95% confidence interval of the statistics is (7.795, 8.243).
How to illustrate the information?Based on the information given, the 95% confidence interval will be:
= 8.019 + (1.962 × 3.183/✓1114)
= 8.243 and
= 8.019 - (1.962 × 3.183/✓1114)
= 7.795
In conclusion, the 95% confidence interval of the statistics is (7.795, 8.243).
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OAB is a minor sector of the circle below. calculate the area of OAB.
The area of the sector OAB of the circle is 9 square meters
Finding the area of sector OABFrom the question, we have the following parameters that can be used in our computation:
Central angle = 45 degreesCircle area = 72 square metersUsing the above as a guide, we have the following:
Sector area = central angle/360 * Circle area
Substitute the known values in the above equation, so, we have the following representation
Sector area = 45/360 * 72
Evaluate
Sector area = 9
Hence, the area of the sector is 9 square meters
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please help me I have to submit it tomorrow and please while sending solution write it and send a pic please because I don't understand when someone explains it in the answer
Answer:
A
Step-by-step explanation:
I think
The heights (in inches) of a sample of eight mother daughter pairs of subjects were measured. (i point Using a speeadsheet with the paired mother/daughter heights, the lincar correlation cocfficient is found to be 0.693. Find the critical valuc, assuming a 0.05 significance level Is there safficient evidence to support the claim that there is a lincar correlation between the heights of mothers and the heights of their daughters? Critical value 0.707, there is not sufficient evidence to support the claim of a linear correlation between beights of mothers and heights of their daughters Critical value 0.707, there is sufficient evidence to support the claim of a linear correlation between heights of mothers and heights of their daughters O Critical value 0.666, there is sot sufficient evidence to support the claim of a linear cornelation between heights of mothers and heights of their daughters Critical value 0.666there is sufficient evidence to support the claim of a lincar correlation between heights of mothers and heights of their daughters.
Thus, the critical value is 0.707 and there is not enough evidence to support the claim that there is a linear correlation between the heights of mothers and their daughters.
Based on the information provided, the linear correlation coefficient between the heights of mothers and daughters is 0.693.
To determine if there is sufficient evidence to support the claim that there is a linear correlation between these heights, we need to find the critical value assuming a significance level of 0.05.Using a two-tailed test with 6 degrees of freedom (n-2=8-2=6), the critical value is 0.707. If the calculated correlation coefficient is greater than 0.707 or less than -0.707, then we can reject the null hypothesis that there is no linear correlation between the heights of mothers and daughters.In this case, the calculated correlation coefficient of 0.693 is less than the critical value of 0.707. Therefore, we fail to reject the null hypothesis and there is not sufficient evidence to support the claim of a linear correlation between the heights of mothers and their daughters.Know more about the linear correlation coefficient
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In a math class with 28 students, a test was given the same day that an assignment
was due. There were 18 students who passed the test and 23 students who completed
the assignment. There were 16 students who passed the test and also completed the
assignment. What is the probability that a student who passed the test did not
complete the homework?
Answer:
Probability that a student who passed the test did not complete the homework = 0.07
Step-by-step explanation:
Given:
Total number of students = 28
Number of students who passed the test = 18
Number of students who completed the assignment = 23
Number of students who passed the test and also completed the assignment = 16
To find: probability that a student who passed the test did not complete the homework
Solution:
Probability refers to chances of occurrence of some event.
Probability = number of favorable outcomes/total number of outcomes
Let A denotes the event that students passed the test and B denotes the event that students completed the assignment
P(A only) = \(P(A)-P(A\cap B)\)
Here,
\(P(A)=\frac{18}{28}\,,\,P(A\cap B)=\frac{16}{28}\)
So,
\(P(A\,\,only)=\frac{18}{28}-\frac{16}{28}=\frac{2}{28}=\frac{1}{14}=0.07\)
Therefore,
probability that a student who passed the test did not complete the homework = 0.07
Answer:
2/9
Step-by-step explanation:
Find the value of x for which p || q. Question options:
Answer:
The question is not clear. please write the complete question