Answers
Answer:
√x⁸y² of question 3
= x⁸/² y²/²
=x⁴y
Answer:
\( \sqrt{2} (6 + \sqrt{12} ) = 6 \sqrt{2} + 2 \sqrt{6} \)
\( \sqrt{ {x}^{8} {y}^{2} } = {x}^{4} y\)
\( \sqrt{8} \sqrt{18} = 12\)
I hope I helped you^_^
Related Questions
Find the divergence of each of the following vector fields at all points where they are defined. (a) div(x(x2 y2 z2)1.5i y(x2 y2 z2)1.5j z(x2 y2 z2)1.5k)
Answers
Answer: the divergence of the vector fields at all points its defined is 0
Step-by-step explanation:
Given that;
div ( [x / (x²+ y² + z²)^1.5]i + [y / (x² + y² + z²)^1.5]j + [z / (x² + y² + z²)^1.5]k )
= d/dx [x / (x²+ y² + z²)^1.5] + d/dx [y / (x² + y² + z²)^1.5] + d/dx [z / (x² + y² + z²)^1.5]
= [1 / (x²+ y² + z²)^1.5] - [3x² / (x²+ y² + z²)^2.5] + [1 / (x²+ y² + z²)^1.5] - [3y² / (x²+ y² + z²)^2.5] + [1 / (x²+ y² + z²)^1.5] - [3z² / (x²+ y² + z²)^2.5]
= [3 / (x²+ y² + z²)^1.5] - [(3x² + 3y² +3z²) / (x²+ y² + z²)^2.5]
= [2 / (x²+ y² + z²)^1.5] - [3 / (x²+ y² + z²)^1.5] = 0
therefore the divergence of the vector fields at all points its defined is 0
Consider the curve given by the equation x2 − y2 = 2x + y + xy − 4. Find the equation
of the tangent line to the curve at the point (1, 1).
Answers
The equation of the tangent line at (1,1) is given as follows:
y - 1 = -0.25(x - 1).
How to obtain the equation of the tangent line?The curve for this problem is given as follows:
x² - y² = 2x + y + xy - 4.
Applying implicit differentiation, we obtain the slope of the tangent line, as follows:
2x - 2y(dy/dx) = 2 + (dy/dx) + x(dy/dx) + y
(dy/dx)(1 + x + 2y) = 2x - 2 - y
m = (2x - 2 - y)/(1 + x + 2y).
At x = 1 and y = 1, the slope is given as follows:
m = (2 - 2 - 1)/(1 + 1 + 2)
m = -0.25.
Hence the point-slope equation is given as follows:
y - 1 = -0.25(x - 1).
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How would you describe the translation from f(x)=x2 to f(x)=x2+5 ?
Answers
Answer:
5 units up
Step-by-step explanation:
Adding 5 to the y-value of an (x, y) coordinate moves it up 5 units.
f(x) = x^2 +5 is translated 5 units upward from f(x) = x^2.
you are helping your sister plan her sweet 16. the venue you want to host it at charges $75 for every 3 guest as well as a rental deposit of $200 write an equation to determine the total party cost
Answers
Answer:
y = 25x + 200
Step-by-step explanation:
y = the total cost of the party
x = the number of guests
75/3 = 25
25 is the cost per guest.
Helping in the name of Jesus.
not allowed
The table shows information about the masses of some dogs.
a) Work out the minimum number of dogs that could have a mass of more than
26 kg.
b) Work out the maximum number of dogs that could have a mass of more than
26 kg.
Mass, x (kg)
0≤x≤10
10≤x≤20
20≤x≤30
30 < 10
Frequency
8
11
5
Answers
Based on the frequency table given,
a) The minimum number of dogs that could have a mass of more than 26 kg is of: 5.
b) The maximum number of dogs that could have a mass of more than 26 kg is of: 16.
How is this so?The frequency table displays the number of times each value, or range of values, appears in the data-set.
where 11 weights are between 20 and 30, and all of the dogs in the interval 20 × 30 have weights less than 26 kg, the lowest number of dogs that might have a mass more than 26 kg is 5.
This implies that only the dogs in the period 30 x 40 would have a mass greater than 26 kg.
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What is the length of the the midsegment of a trapezoid with bases of length 16 and 26?
Answers
The length of the midsegment of the trapezoid is 21 units.
What is length of midsegment of the trapezoid?The midsegment of a trapezoid is a line segment that connects the midpoints of the two non-parallel sides of the trapezoid. It is parallel to the bases and its length is equal to the average of the lengths of the bases.
We are given that bases of the trapezoid have lengths of 16 and 26. To find the length of the midsegment, we need to find the average of these two lengths. The midsegment length is calculated as:
= (16 + 26) / 2
= 42 / 2
= 21 units.
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What is the intensity of an earthquake in Hawaii
which measured 3.92 on the richter scale?
Use the formula M = log(i/s)
S= 1 micron
- 7,943 microns
- 6904 microns
- 8318 microns
- 2818 microns
Answers
8318 microns is the intensity of an earthquake in Hawaii.
What is Richter scale?The Richter scale was originally developed to measure the magnitude of moderate earthquakes (magnitude 3 to magnitude 7) by assigning numbers so that the magnitude of one earthquake can be compared to another. This scale was developed for the Southern California earthquake recorded by the Wood He Anderson seismograph whose epicenter was less than 600 km (373 mi) from the seismometer location. However, today's seismometers can be calibrated to calculate the Richter magnitude, and modern methods of measuring earthquake magnitude are designed to give results consistent with those measured using the Richter scale. Developed.
The magnitude of an earthquake is determined using the logarithm of the amplitude (height) of the largest seismic wave, calibrated to scale by the seismograph.
Using the formula,
\(M = log \frac{i}{s}\\ 3.92 = log\frac{i}{1 micron} \\10^3.92 = \frac{i}{s} \\i = 8318\)
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what would be your first step in completely factoring 6a^2-15a+6
Answers
The completely factoring form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).
To completely factor the expression 6a^2 - 15a + 6, the first step is to check if there is a common factor among the coefficients (6, -15, and 6) and the terms (a^2, a, and 1).
In this case, we can see that the common factor among the coefficients is 3, so we can factor out 3:
3(2a^2 - 5a + 2)
Now we need to factor the quadratic expression inside the parentheses further. We are looking for two binomials that, when multiplied, give us 2a^2 - 5a + 2. The factors of 2a^2 are 2a and a, and the factors of 2 are 2 and 1. We need to find two numbers that multiply to give 2 and add up to -5.
The numbers -2 and -1 fit this criteria, so we can rewrite the expression as:
3(2a - 1)(a - 2)
Therefore, the completely factored form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).
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#8 please help due in 15 minutes!! Find the distance
between each pair of points. Round to the nearest 10th.
Answers
Answer:
approximately 3.873
Step-by-step explanation:
your work was close however we use the distance formula here
Distance = sqrt (y2-y1) +(x2-x1)
the answer to that comes out to be 3.873
It takes Francisco 5/6 minutes to upload a video to his blog.How much can he upload in 1/2 minutes?Show your work.
Answers
Answer:10/6
Step-by-step explanation:
The mayor of a large city will run for governor if he believes that more than 30 percent of the voters in the state already support him. He will have a survey firm ask a random sample of n voters whether or not they support him. He will use a large sample test for proportions to test the null hypothesis that the proportion of all voters who support him is 30 percent or less against the alternative that the percentage is higher than 30 percent. Suppose that 35 percent of all voters in the state actually support him. In which of the following situations would the power for this test be highest?
a. The mayor uses a significance level of 0.01 and n = 250 voters.
b. The mayor uses a significance level of 0.01 and n = 500 voters.
c. The mayor uses a significance level of 0.01 and n = 1,000 voters.
d. The mayor uses a significance level of 0.05 and n = 500 voters.
e. The mayor uses a significance level of 0.05 and n = 1,000 voters.
Answers
Answer:
e. The mayor uses a significance level of 0.05 and n = 1,000 voters.
Step-by-step explanation:
Power of a test:
For a high power of a test, two conditions are needed:
Large significance level.
Large sample.
In this question:
A significance level of 0.05 will lead to a higher power than a significance level of 0.01, which means that the answer is between options d and e.
A test with a sample of 1000 has a higher power than a test with a sample of 500, and thus, the answer is given by option e.
Fill in the missing statements and reasons for the proof. Given ∠2 ≅ ∠3 proof ∠1 ≅ ∠4
Answers
The proof is given as follows:
∠1 ≅ ∠2 - Vertical Angles are ≅∠2 ≅ 3 - Given∠3 ≅4 - Vertical Angles are ≅Thus, ∠1 ≅ 4 Transitive properties.What are transitive properties?The transitive property argues that "if two quantities are equal to the third quantity, then we may claim that all the quantities are equal to one other".
The term transitive refers to a transfer. If there are three quantities a, b, and c, and if an is connected to b by some rule and b is related to c by the same method, then a and c are related to each other by the same rule; this property is known as the transitive property of equality.
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Hubble's constant H is about 70 km/sec per megaparsec. (The prefix "mega" means million.) Convert this value for Hubble's constant to km/s/million LY. Hint: -A parsec is 3.26 light-years, and therefore a megaparsec is 3.26 million LY. If you take the given value of the Hubble constant (namely, 70 km/s per megaparsec) and replace the megaparsec with 3.26 million LY, then you will have converted to the desired units.
Answers
Hubble's constant in units of km/s/million LY is approximately 21.47.
what is approximately ?
Approximately means close to or nearly, but not exactly. It is used to indicate that a value or number is an estimation or approximation, rather than an exact value. It is often used when a precise value is not necessary or when the exact value is unknown or difficult to determine.
In the given question,
To convert Hubble's constant from km/s/Mpc to km/s/million LY, we need to multiply it by a conversion factor that accounts for the difference in distance units. We can use the fact that 1 Mpc is equal to 3.26 million LY:
1 Mpc = 3.26 million LY
Therefore, to convert Hubble's constant from km/s/Mpc to km/s/million LY, we can use the following conversion factor:
1 Mpc / 3.26 million LY
Multiplying Hubble's constant by this conversion factor gives:
H = 70 km/s/Mpc x (1 Mpc / 3.26 million LY) = 21.47 km/s/million LY
Therefore, Hubble's constant in units of km/s/million LY is approximately 21.47.
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For Field Day, the 72 students in fourth grade will be divided into tears with the same number of students on each team. The 60 students in third grade will be divided into teams that each have the same number of students as the fourth grade teams. What is the largest number of students that a team could have? Help meeee
Answers
We do this because the factors are the numbers determining the number of people and the number of teams, for example if they used the factors 6 and 10 for 60, they would make 6 teams of 10 people. And since factors are whole numbers, it makes sense for people and doesn’t cut ppl in half.
So the greatest factor that 72 and 60 gave have in common is 12, bc 5 x 12 is 60 and 6 x 12 is 72, and they don’t have other factors in common that are higher than 12.
This means that 12 is the answer, bc it’s the largest number of students that a team could have, in both the fourth and third grades.
1,3,6,10,15,21,28 as a function
Answers
It seems that the sequence you provided is the sequence of triangular numbers. The function that generates this sequence could be defined as:
f(n) = n*(n+1)/2
Where n is the position of the number in the sequence.
So, for example:
f(1) = 1*(1+1)/2 = 1
f(2) = 2*(2+1)/2 = 3
f(3) = 3*(3+1)/2 = 6
and so on.
I NEED HELP PLS HURRY
1. Write each expression with a single exponent:
a. (10^7)²
b. (10^9)³
c. (10^6)³
d. (10^2)³
e. (10³)²
f. (10^5)^7
Answers
b. 10^27
c. 10^18
d. 10^6
e. 10^6
f. 10^35
multiply the exponents.
Answer:
We use the rule,
\((a^b)^c = a^{bc}\)
a. (10^7)²
\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)
10^14
b. (10^9)³
\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)
10^27
c. (10^6)³
\(10^{(6)(3)}= 10^{18}\)
10^18
d. (10^2)³
\(10^{(2)(3)} = 10^{6}\)
10^6
e. (10³)²
\(10^{(3)(2)}=10^{6}\)
10^6
f. (10^5)^7
\(10^{(5)(7)} = 10^{35}\)
10^35
Step-by-step explanation:
HELPPP FOR 100 points plsss
Answers
Answer:
a. YES
b. YES
c. NO
d. YES
Step-by-step explanation:
\(\frac{7^6}{7^3}\) simplifies to \(7^3\)
a:
Let's simplify this:
(\(7^9\))(\(\frac{1}{7^6}\))
Now:
\(\frac{7^9}{7^6}\)
Which equals:
\(7^3\)
So, YES
b:
Simplify this one:
\(\frac{1}{7^8} / \frac{1}{7^1^1}\)
Or:
\((\frac{1}{7^8})(7^1^1)\)
Which simplifies to:
\(7^3\)
So, YES
c:
Simplifies to:
\(\frac{7^8}{7^4}\)
Which equals:
\(7^4\)
So, NO
d:
This simplifies to:
\(\frac{1}{7^3} * 7^6\\\\ \frac{7^6}{7^3} \\\\7^3\)
So, YES
Determine whether 548 is greater than or less than 373. Then write the expression showing this using < or >.
Answers
Answer:
548 > 373
Step-by-step explanation:
548 is greater than 373 because when we compare the digits from left to right, we find that the first digit of 548 (5) is greater than the first digit of 373 (3). Therefore, we can conclude that 548 is greater than 373.
The ">" symbol is used to represent "greater than" in mathematical comparisons.
Hope this helps!
to estimate the surface area of his backyard, a man takes several measurements. the measurements are taken every 3 feet for the 36 ft. long yard, where y represents the distance across the yard at each 3 ft. increment.
Answers
The surface area of the backyard can be estimated using the measurements of y, taken every 3 feet for a 36 feet long yard, and using a mathematical formula such as the trapezoidal rule or numerical integration method.
The surface area of the backyard can be estimated by using a mathematical formula such as the trapezoidal rule or numerical integration method. To use the trapezoidal rule, the man would need to calculate the average height between each of the y measurements and use this average height as the height of a trapezoid with a base equal to the 3-foot increment.
The man would then sum up the areas of all the trapezoids to estimate the total surface area of the backyard. Numerical integration is a more complex method that uses more advanced mathematical concepts, such as calculus, to estimate the surface area. Both methods can provide an estimate of the surface area, but the accuracy of the estimate will depend on the accuracy of the y measurements.
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There were n votes cast in an election. Ms. Gordy received 32% of the votes. Which expression represents the number of votes Ms. Gordy received? a)32n b) 32n/100 c) 100n/32
Answers
Answer:
Step-by-step explanation:
if you take 4 steps every 6 minutes, how long will 10 steps be?
Answers
Answer:
15
Step-by-step explanation:
divide 6 into 4 than what ever your answer is multi... by 10
If u(x) = −2x² +3 and v(x)=1/x, what is the range of (uv)(x)?
Answers
Given:
\(\begin{gathered} u(x)=-2x^2+3 \\ v(x)=\frac{1}{x} \end{gathered}\)Required:
To find the range of the function (uv)(x).
Explanation:
We know that
\(\begin{gathered} (uv)(x)=u(v(x)) \\ \\ =u(\frac{1}{x}) \\ \\ =-2(\frac{1}{x^2})+3 \\ \\ =-\frac{2}{x^2}+3 \end{gathered}\)The horizontal asymptote of this function is at y=3.
So, the range of this function is from
\((-\infty,3)\)Final Answer:
The range of (uv)(x) is
\((-\infty,3)\)Find the volume..
Pleaseeeee helppp being timed
Answers
Answer:
The right answer is 125.6
Answer:
A. 502.4
Step-by-step explanation
Find the area of the shape below.
9 cm
11 cm
6cm
15 cm
Answers
To find the area of the shape below, we need to split it into two triangles and a rectangle, then find the area of each shape and add them together.
First, we'll split the shape as shown:
+-------+
|\ /|
| \ / |
| \ / |
| X |
| / \ |
| / \ |
|/ \|
+-----------+-------+-----------+
6 cm 9 cm 15 cm
The rectangle has a length of 15 cm and a width of 6 cm, so its area is:
Area of rectangle = length x width = 15 cm x 6 cm = 90 cm²
To find the area of the two triangles, we need to first find the height of each triangle. We can use the Pythagorean theorem to find the height:
For the triangle on the left:
h = sqrt(11^2 - 6^2) = sqrt(121 - 36) = sqrt(85) ≈ 9.22 cm
For the triangle on the right:
h = sqrt(9^2 - 6^2) = sqrt(81 - 36) = sqrt(45) ≈ 6.71 cm
The area of each triangle is then:
Area of triangle = 1/2 x base x height
For the triangle on the left:
Area of triangle = 1/2 x 11 cm x 9.22 cm ≈ 50.66 cm²
For the triangle on the right:
Area of triangle = 1/2 x 9 cm x 6.71 cm ≈ 30.195 cm²
Finally, we add the areas of the rectangle and the two triangles together:
Total area = area of rectangle + area of triangle on the left + area of triangle on the right
Total area = 90 cm² + 50.66 cm² + 30.195 cm² ≈ 170.855 cm²
Therefore, the area of the given shape is approximately 170.855 cm².
If a figure is a rectangle, it is a parallelogram.
P: a figure is a rectangle
Q: a figure is a parallelogram
which represents the inverse of this statement is the inverse true or false 
Answers
The inverse statement is false.
The inverse of the statement "If a figure is a rectangle, it is a parallelogram" would be:If a figure is not a rectangle, then it is not a parallelogram.To determine if the inverse is true or false, we need to evaluate its validity. In this case, the inverse statement is false. Just because a figure is not a rectangle does not mean it cannot be a parallelogram. There are other types of parallelograms, such as squares and rhombuses, that are not rectangles. Therefore, the inverse statement is false.For such more questions on inverse
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Rotate point (-3, 2) about the origin 180 degrees clockwise. Where will the new point be?
Answers
Answer: the answer is (3,-2)
Step-by-step explanation: when you rotate a point about the origin 180 degrees clockwise, (x,y) turns into (-x,-y)
therefore
(-3,2) becomes (3,-2)
I'm pretty sure
find the vertical asymptotes
Answers
Answer: Vertical asymptotes are = \(-4, 1,4\)
Horizontal asymptote = \(y=0\)
Step-by-step explanation:
If you need explanation just say you want...
50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answers
The value of angle BCD is determined as 108⁰.
option B is the correct answer.
What is the value of angle BCD?The value of angle BCD is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.
Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.
arc AB = m∠ACB
m∠ACB = 72⁰
The value of angle BCD is calculated as follows;
angle BCD = 180 - 72⁰ (sum of angles in a circle)
angle BCD = 108⁰
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Please
Help
See the picture
I’m giving brainliest
Answers
Answer: y = -3x + 7
Step-by-step explanation: have a look at the pic attached and lemme know if u still dont get it! :)
. An arch has the shape of a semi-ellipse. The arch
has a height of 12 feet and a span of 40 feet. Find
an equation for the ellipse, and use that to find the
distance from the center to a point at which the
height is 6 feet. Round to the nearest hundredth.
Answers
The height of the arch at a distance of 5 feet from the center is approximately 10. 93 feet
Equation of an eclipse
It is important to note that the standard equation of an eclipse centered at origin behind the shape of arch is given as;
\(\frac{x^2}{a^2} + \frac{y^2}{b^2}\)
Where;
x - Horizontal distance, in feety - Vertical distance, in feeta - Horizontal semi - axis length (half-width), in feetb - Vertical semi - axis length (height), in feetIf we know that x = 6feet , a = 20 feet and b = 12feet, then the height of the arch at this location is;
\(y = b . \sqrt{1 + \frac{x^2}{a^2} }\)
\(y = 12. \sqrt{1 - \frac{6^2}{20^2} }\)
\(y = 10. 92\) feet
Thus, the height of the arch at a distance of 5 feet from the center is approximately 10. 93 feet
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