Answer:
X^-2 x X^3 or C
Step-by-step explanation:
why because a negative and a positive when multiplied make a negative
\( \Huge \color{lime}{\boxed{{x}^{3} \times {x}^{3}}}\)
.....Step-by-step explanation.....
\( \large \underline \color {pink}{lets \: solve \:↬} \)
\(\large \pink {\sf{⇒ \: {x}^{ - 3} \times {x}^{ - 3} }} \\ \\ \large \red{ \tt{(by \: exponent \: rule \: of \: power \: are \: added)}} \\ \\ \pink {\sf{ ⇒ \: {x}^{ - 3 + ( - 3)} } } \\ \\ \large \pink { \sf{ ⇒ \: {x}^{ - 3 - 3} }} \\ \\ \large \pink { \sf{⇒ \: {x}^{ - 6} }} \\ \\ \)
\(\large\color {blue}{\boxed{\mathfrak{❥\:Velvet\:Pearl}}}\)
Brian set his compass equal to the radius of circle C and drew two circles centered at points A and B on circle C. He labeled the points of intersection of the two circles as shown.
Two circles are drawn by having another circle in the center. The center circle has points A, M, N, B, P, Q, and C. At C the two circles intersect, and at P the center circle and the top circle intersect.
To complete his construction, Brian only needs to use his straightedge to draw some chords of circle C.
Which figures could Brian be constructing?
equilateral triangle MNQ inscribed in circle C
equilateral triangle ANP inscribed in circle C
regular hexagon AMNBPQ inscribed in circle C
square MNPQ inscribed in circle C
square ANBQ inscribed in circle C
The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:
Equilateral triangle MNQ inscribed in circle C
Regular hexagon AMNBPQ inscribed in circle C
Brian is constructing figures inscribed in circle C.
Equilateral triangle MNQ inscribed in circle C:
This option is possible since the points M, N, and Q are labeled and they lie on circle C.
Equilateral triangle ANP inscribed in circle C:
This option is not possible. The points A and P are labeled, but the third vertex of the equilateral triangle is not specified.
Regular hexagon AMNBPQ inscribed in circle C:
This option is possible since the points A, M, N, B, P, and Q are labeled and they lie on circle C.
Square MNPQ inscribed in circle C:
This option is not possible based on the given information. The label points do not form a square.
Square ANBQ inscribed in circle C:
This option is not possible . The points A, N, B, and Q are labeled, but they do not form a square.
The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:
Equilateral triangle MNQ inscribed in circle C
Regular hexagon AMNBPQ inscribed in circle C
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What is the area of a sector when 0=pi/2 radians and r=8/3
\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta r^2}{2} ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =\frac{\pi }{2}\\[1em] r=\frac{8}{3} \end{cases}\implies A=\cfrac{1}{2}\cdot \cfrac{\pi }{2}\cdot\left( \cfrac{8}{3} \right)^2 \\\\\\ A=\cfrac{1}{2}\cdot \cfrac{\pi }{2}\cdot \cfrac{64}{9}\implies A=\cfrac{16\pi }{9}\implies A\approx 5.59\)
what is the brobability of spinning a b unit 5 exam acellus
Supposing a spinner with 8 regions, 3 of which are B, there is a 0.375 = 37.5% probability of spinning a b.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, we suppose a spinner with 8 outcomes, 3 of which are b, hence the probability is given by:
p = 3/8 = 0.375 = 37.5%.
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how would someone use the cross product property on an equation with 3 different values instead of two? I provided an example image
Using the cross product for the proff of Pythagoras theorem, the correct step is
By the cross product property, AB² = BC multiplied by BD
What is cross product propertyThe cross product property is typically used to solve equations with two values, where the product of the extremes (the outer terms) is equal to the product of the means (the inner terms).
For the similar triangles, the ratio is as follows
BD / BA = BA / BC
BA² = BD * BC
and AB = BA, hence
BA² = BD * BC
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Can someone help me with this please?
Answer:
The triangles are similar.
Explanation:
Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.
A sphere and its dimension are shown in the diagram 15 inches
The measurement that is closest to the volume of the sphere is given as follows:
1,767.1 in³.
What is the volume of an sphere?The volume of an sphere of radius r is given by the multiplication of 4π by the radius cubed and divided by 3, hence the equation is presented as follows:
\(V = \frac{4\pi r^3}{3}\)
From the image given at the end of the answer, we have that the diameter is of 15 units, hence the radius of the sphere, which is half the diameter, is given as follows:
r = 0.5 x 15
r = 7.5 units.
Then the volume of the sphere is given as follows:
V = 4/3 x π x 7.5³
V = 1,767.1 in³.
Missing InformationThe sphere is given by the image presented at the end of the answer.
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10 - 4v = -2 - 4(-3 + v)
Answer:
All real numbers are solutions.
Step-by-step explanation:
Let's solve your equation step-by-step.
10−4v=−2−4(−3+v)
Step 1: Simplify both sides of the equation.
10−4v=−2−4(−3+v)
10+−4v=−2+(−4)(−3)+(−4)(v)(Distribute)
10+−4v=−2+12+−4v
−4v+10=(−4v)+(−2+12)(Combine Like Terms)
−4v+10=−4v+10
−4v+10=−4v+10
Step 2: Add 4v to both sides.
−4v+10+4v=−4v+10+4v
10=10
Step 3: Subtract 10 from both sides.
10−10=10−10
0=0
At Aaron's Automobile's, Bob sold $150,000 worth of cars last month. If Bob earns a 5% commission on his sales, how much did he make in
commission last month?
Bob's commission was
Answer: 7,500
Step-by-step explanation: 5% of 150,000 is 7,500.
Geometry Level Math Please Help
Answer:
D=42
B and C =138
:)))))))))
Four friends have an assortment of Snack bars that cost S dollars each, Munch bars that cost M dollars each
and Chewies that cost C dollars each that they sell to raise money for a trip they are taking. They decide to
split the money from the sales evenly between the four friends. They create an expression to make sure
everyone gets the same amount. The amount each friend receives is given by the complicated expression
Combining the like terms, it is found that:
a) The simplified expression is: 4C + 3S + M.
b) Each friend earns $32.
How to find the equivalent expression?To find the equivalent expression, we combine the like terms, as follows:
5C + 10C + C = 16C.5S + 4S + 3S = 12S.2M + M + M = 4M.Hence the equivalent expression can be given as follows:
(16C + 12S + 4M)/4 = 4(4C + 3S + M)/4 = 4C + 3S + M.
For item b, we have that:
S = 3, M = 5, C = 4.5.
Hence:
4C + 3S + M = 4 x 4.5 + 3 x 3 + 5 = 32.
Each friend earns $32.
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Certain advertisers would like to estimate the proportion of viewers who spend the majority of their television time
watching alone. The consensus is that this percentage has been increasing over the years due to the increased
number of television sets in households.
a. Determine the sample size needed to construct a 90% confidence interval with a margin of error of no more than
6% to estimate the true proportion of viewers who watch television alone.
b. What impact would a pilot sample that showed that 44% of viewers spend the majority of their television time
watching alone have on your on results.
a. The sample size needed is
(Round up to the nearest integer.)
b. The new sample size needed would be 0
(Round up to the nearest integer.)
Answer:
Step-by-step explanation:
how do I find the range of a function?
Answer:
Overall, the steps for algebraically finding the range of a function are:
1.Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
2.Find the domain of g(y), and this will be the range of f(x).
3.If you can't seem to solve for x, then try graphing the function to find the range.
Step-by-step explanation:
Answer:
Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
Find the domain of g(y), and this will be the range of f(x).
If you can't seem to solve for x, then try graphing the function to find the range.
Step-by-step explanation:
answer is a
i think question is about implicit differentiation
The x-coordinates of the points on the curve where the tangent line is horizontal will be option A.
How to explain the coordinate(x² + y²)² = 4(x² – y²)
x⁴ + 2x²y² + y⁴ = 4x² - 4y²
y⁴ + 2x^2y² + 4y² - 4x² = 0
Now we can use implicit differentiation to find the derivative of y with respect to x:
4y³(dy/dx) + 4xy² + 4y(dy/dx)x² + 8y(dy/dx) - 8x = 0
Simplifying this expression, we get:
4y³(dy/dx) + 4xy² + 4xy²(dy/dx) + 8y(dy/dx) - 8x = 0
(dy/dx)(4y³ + 4x²y²) + 8y(dy/dx) = 8x - 4xy²
(dy/dx)(4y³ + 4x^2y² + 8y) = 4x(2-y²)
(dy/dx) = 4x(2-y²)/(4y³ + 4x²y² + 8y)
Based on the information, x-coordinates of the points on the curve where the tangent line is horizontal will be option A.
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let d be diagonal, with repeated diagonal entries grouped contiguously. show that if a commutes with d, then it must be block diagonal.
As, a is block diagonal, with diagonal blocks of size \(m_1 \times m_1\), \(m_2 \times m_2\), \(\dots\), \(m_k \times m_k\), respectively. So, if a commutes with d, then it must be block diagonal.
Let's suppose that d is a diagonal matrix with repeated diagonal entries grouped contiguously, i.e.,
d = \(\begin{pmatrix} D_1 & 0 & 0 & \cdots & 0 \ 0 & D_1 & 0 & \cdots & 0 \ 0 & 0 & D_2 & \cdots & 0 \ \vdots & \vdots & \vdots & \ddots & \vdots \ 0 & 0 & 0 & \cdots & D_k \end{pmatrix}\),
where \(D_1, D_2, \dots, D_k\) are scalars and appear with frequencies \(m_1, m_2, \dots, m_k\), respectively, so that \(m_1 + m_2 + \dots + m_k = n\), the size of the matrix.
Suppose that \(a\) is a matrix that commutes with d, i.e., ad = da.
Then, for any \(i \in {1, 2, \dots, k}\), we have
\(ad_{ii} = da_{ii}\)
Here, \(d_{ii}\) denotes the \(i$th\) diagonal entry of d, i.e., \(d_{ii} = D_i\) for \(i = 1, 2, \dots, k\). Since d is diagonal, \(d_{ij} = 0\) for \(i \neq j\), and
hence
\(ad_{ij} = da_{ij} = 0\)
for all \(i \neq j\).
Therefore, a is also diagonal, with diagonal entries \(a_{ii}\), and we have
\(a = \begin{pmatrix} a_{11} & 0 & 0 & \cdots & 0 \ 0 & a_{11} & 0 & \cdots & 0 \ 0 & 0 & a_{22} & \cdots & 0 \ \vdots & \vdots & \vdots & \ddots & \vdots \ 0 & 0 & 0 & \cdots & a_{kk} \end{pmatrix}\)
Thus, a is block diagonal, with diagonal blocks of size \(m_1 \times m_1\), \(m_2 \times m_2\), \(\dots\), \(m_k \times m_k\), respectively.
Therefore, if a commutes with d, then it must be block diagonal.
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You are given the great circle of a sphere is a length of 25 miles. What is the volume of the sphere
The volume of the sphere is approximately 3431.82 cubic miles.
To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.
In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.
C = 2πr
60 = 2πr
Divide both sides of the equation by 2π:
r = 60 / (2π)
r = 30 / π
Now that we have the radius, we can use the formula for the volume of a sphere:
V = (4/3)πr³
V = (4/3)π(30/π)³
V = (4/3)π(27000/π³)
V = (4/3)π(27000/π³)
V = (4/3)π(27000/π³)
V = (4/3)(27000/π²)
V = (4/3)(27000/9.87) (approximating π to 3.14)
V ≈ 3431.82 cubic miles
Therefore, the volume of the sphere is approximately 3431.82 cubic miles.
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Question
You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?
HELP ME!!!!
ZEARN!!!!!!!!!
A common denominator is a shared multiple of the denominators of the fractions involved when adding or subtracting fractions. It enables fraction comparison and addition/subtraction.
Simplification is the process of reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor. This is done to represent fractions in the simplest terms viable.
Conversion: The process of transferring a fraction from one form to another while retaining its equal value is known as conversion. Finding a common denominator or expressing a fraction in terms of a specified unit or fraction may be required.
Fraction Addition/Subtraction: When adding or subtracting fractions, a common denominator is required. This entails determining a common multiple of
To rewrite the expression 3 + 1/5 + 2/3 using fifteenths as the common denominator, we need to find a common denominator for 5 and 3, which is 15 (since 5 and 3 are both factors of 15).
First, let's convert the fractions 1/5 and 2/3 to fifteenths:
\((\frac{1}{5})(\frac{3}{3}) = \frac{3}{15}\)
\((\frac{2}{3})(\frac{5}{5}) = \frac{10}{15}\)
Now we can rewrite the expression using the common denominator:
\(3 + \frac{3}{15}+\frac{10}{15}\)
A baker uses 5.5 pounds (lb) of flour daily.
Part A
How many ounces of flour will the baker use in two weeks? (1 lb = 16 oz)
The baker uses
Part B
The baker’s recipe for a loaf of bread calls for 12 ounces of flour. If he uses all of his flour to make loaves of bread, how many full loaves can he bake in two weeks?
The baker can make
full loaves of bread in two weeks.
Answer:
Part A:
The baker uses 5.5 pounds of flour daily, which is equal to 5.5 x 16 = 88 ounces of flour daily.
In two weeks (14 days), the baker will use 88 x 14 = 1232 ounces of flour.
Therefore, the baker will use 1232 ounces of flour in two weeks.
Part B:
If the baker uses 12 ounces of flour to make one loaf of bread, then the number of loaves he can make with 1232 ounces of flour is:
1232/12 = 102.67
However, the baker cannot make a fraction of a loaf, so he can only make 102 full loaves of bread.
Therefore, the baker can make 102 full loaves of bread in two weeks.
A small acting club has 8 members. Two of the members are to be chosen for a trip to see a Broadway play. How many different 2 -member groups are possible?
The different 2-member groups that are possible is 28
How to determine the different 2 -member groups that are possibleFrom the question, we have
Total number of members, n = 8
Numbers to selection, r = 2
The number of ways of selection could be drawn is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 8 and r = 2
Substitute the known values in the above equation
Total = ⁸C₂
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 8!/(6! * 2!)
Evaluate
Total = 28
Hence, the number of ways is 28
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In the figure, m<1= m<2 = 22 and m<3 = m<4 = 123. Find m
Answer:
35
Step-by-step explanation:
35 because the two angles are added 22 and 123 = 145. 145-180=35
Ziva bought 6 ⅘ balls of thread for a sweater, but she only ended up using 8 6/12 balls. What fraction of the thread did Ziva use?
Is this how we solve it?
8 6/12 by - 6 4/5 = A
Hope this helps
i think that's how we are supposed to do the problem can someone do a walk through for me with variables so i can find it on my own i just need help. I was trying to find a tutor cause I'm confused. But is that how were supposed to do it cause tutor.com isn't working.
Most likely we have to simplify and then subtract it? I hope that's how you solve it!
nvm i think i got it
Annie is at the top of the stairs lookingdown at her puppy at the bottom of thestairs. If the angle of depression fromAnnie to her puppy is 56 degrees, and thevertical height of the stairs is 11 feet how far away is Annie from her puppy
Given:
Angle of depression = 56 degrees
Vertical height = 11
Let's draw the diagram:
Therefore, we have:
Since we are to find hypotenuse, we use:
\(\sin \text{ 56 = }\frac{11}{x}\)wher x is the distance between Annie and her puppy
Solving further, we have:
\(x\text{ sin 56 = 11}\)\(x\text{ = }\frac{11}{\sin 56}\text{ = }13.3\text{ ft}\)The distance between Annie and her puppy is 13.3 ft
ANSWER:
13.3 FT
Patti went to the bakery. She bought a loaf of bread for $3.49, 6 muffins that cost $1.25 each, and a bottle of juice for $1.79. She gave the cashier a $20 bill.
Btw..i need the equation to.
Answer:
7.22
Step-by-step explanation:
3.49+7.50+1.79= 12.78
20.00 -12.78=7.22
I thought I understood how to get the answer, but I got the second question wrong so I don't know what to do. Can anyone explain to me how to do it? I also am dyslexic and have a hard time rounding numbers. So, I dont think I understood how to round to the nearest dollar.
Answer:
$223,787
Step-by-step explanation:
r = 0.02
C = 191,000
t = 8
S = 191,000 (1 + 0.02)⁸
Follow order of operations (PEMDAS).
S = 191,000 (1.02)⁸
S = 191,000 (1.171659381)
S = 223,786.9
(We want to round to the nearest dollar, which is the ones place, so ignore all digits after the tenths place.)
Rounding, S = 223,787
Which are equivalent expressions?
Check all that are true.
A)8xy = 4x + 4y
B)x + 6x = 7x
C)x + 6y = 6xy
D)9x + 6y = 3(3x + 2y)
E)9a + 6b + 3c = 3(3a + 2b + c)
Answer:
DE
Step-by-step explanation:
D)9x + 6y = 3(3x + 2y)
E)9a + 6b + 3c = 3(3a + 2b + c)
there have the same concept
3*3x equals 9x and 3*3a is 9a
1) Kelly has 15 blue bracelets and 12 green bracelets. What is the ratio of Kelly’s blue bracelets to green bracelets?
2) Over the winter it snowed 36 days out of 40 days. What is the snow days to days ratio in simple form?
3) The ratio of girls to boys who participated in the quiz bowl was 7:5. There were 42 girls in the competition. How many boys participated?
1)The ratio of Kelly’s blue bracelets to green bracelets is 5:4.
2)The snow days to days ratio is 20:1
3)There are 42 girls in the competition. The ratio of girls to boys who participated in the quiz bowl was 7 : 5. Solving the two ratios, Therefore, There are 30 boys in the competition.
Define ratio?A ratio is a ratio that compares two quantities.A proportion is the difference between two ratios. To write a ratio, do the following: Determine whether the ratio is a part-to-part or a part-to-whole ratio. If necessary, compute the parts and total.The ratio is defined as the division of two numbers or quantities. The ratio is a relationship between the quantities of two or more objects that indicates how much of one is contained in the other. The ratio formula can be used to convert a ratio into a fraction. a:b = a/b is the ratio formula for any two quantities, say a and b.To learn more about ratio refer to:
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1)The ratio of Kelly’s blue bracelets to green bracelets is 5:4.
2)The snow days to days ratio is 20:1
3)There are 42 girls in the competition. The ratio of girls to boys who participated in the quiz bowl was 7 : 5. Solving the two ratios, Therefore, There are 30 boys in the competition.
Define ratio?
A ratio is a ratio that compares two quantities.A proportion is the difference between two ratios.To write a ratio, do the following: Determine whether the ratio is a part-to-part or a part-to-whole ratio. If necessary, compute the parts and total.The ratio is defined as the division of two numbers or quantities.The ratio is a relationship between the quantities of two or more objects that indicates how much of one is contained in the other.The ratio formula can be used to convert a ratio into a fraction. a:b = a/b is the ratio formula for any two quantities, say a and b.To learn more about ratio refers to:
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Convert: 5,928 milliliters = ______ liters
0.5928 liters
5,928,000 liters
592.8 liters
5.928 liters
Answer:
5.928 liters is the correct answer
Step-by-step explanation:
Since 1 milliliter is 0.001 liters
Multiply both values by 5928.
1 x 5928 equals 5928 0.001 x 5928 = 5.928Therefore... 5928 milliliters equals 5.928 which is letter D
Answer:
The answer is 0.5928 liters
Step-by-step explanation:
1 liter is made of 1000 milliliters
So 5,929 ÷ 1000
gives us 0.5928
Write the multiplicative comparison statement as an equation.
18 is 3 times as many as 6.
Answer:
18 = 3 × 6
Step-by-step explanation:
50 points and brain thing!!! Please show proof for the question above
Answer:
Ight...
Step-by-step explanation:
Hi
Carolina bought a t-shirt for $20 and two admission tickets to a concert. Let x represent the cost of an admission ticket. The expression 2x + 20 represents the total amount Carolina spent. What was the total amount that Carolina spent if each admission ticket, x, was $40?
Answer:
$100
Step-by-step explanation:
40 is x. So, just plug in 40 into the equation:
2(40)+20=?
80+20=?
=100
AA.1 Solutions to inequalities P9N
Which of the following are solutions to the inequality below? Select all that apply.
3 ≤ 47
x = 24
Submit
x = 51
X = 6
X = 99
Answer: 3 ≤ 47
Step-by-step explanation:
The inequality given is 3 ≤ 47.
To determine the solutions to this inequality, we need to find the values of x that satisfy the inequality.
Looking at the options provided:
x = 24: This is not a solution because 24 is less than 47.
x = 51: This is a solution because 51 is greater than or equal to 47.
x = 6: This is not a solution because 6 is less than 47.
x = 99: This is a solution because 99 is greater than or equal to 47.
Therefore, the solutions to the inequality 3 ≤ 47 are x = 51 and x = 99.