(40 POINTS)
Which law would you use to simplify the expression (X4)9?
product of powers
power of a product
power of a quotient
power of a power

Answer:

\(y=[1]cos([\frac{2\pi }{3}]x)\)

Step-by-step explanation:

Looking at the graph, we can see the domain to be from (0 , 2π).

Now we have to find one period that corresponds to cos(x).

The half-period of cos(x) for this graph appears to be pi/3 and adding another pi/3 gets us 2pi/3 to be our cosine period.

b = 2pi/3

a is the same range as cos(x). Range: (0,0)

y = [a] * cos ([b]*x)

y = [1] * cos([2pi/3]x)

The polynomial has two terms:

then, it is a binomial.

To find the degree of the first term, we need to add the exponents of each variable. The exponent of variable a is 3 and of variable b is 1, then the degree of the first term is: 3 + 1 = 4.

Considering the second term, the exponent of variable a is 2, the exponent of variable b is 1, and the exponent of variable c is 2, then the degree of the second term is: 2 + 1 + 2 = 5.

The degree of the polynomial is equal to the greatest degree of each term. Therefore, the degree of this polynomial is 5.

If the homeowner also had to pay late fees in the amount of $35 four different times, the total cost of the dryer is $809.48. So, correct option is A.

To calculate the total cost of the dryer, we need to add the initial cost of the dryer, the monthly payments, the credit card fees, and the late fees.

The total cost of the dryer can be calculated as follows:

Cost of dryer = $698.27

Total credit card charges = 12 x $1.25 = $15

Total late fees = 4 x $35 = $140

Total cost of the dryer = Cost of dryer + Total credit card charges + Total late fees

= $698.27 + $15 + $140

= $809.27

Therefore, the total cost of the dryer is $809.48, which is the closest option to the calculated answer.

So, correct option is A.

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Answer:

Area = 26 sq units

Step-by-step explanation:

If you put the points on a graph then you can see what you are working with. The parallelogram you can just count the squares to find the base and height. base = 6 and height = 1.

A = b • h = 6•1 = 6

To find the lengths of the sides for the rectangle you must use distance formula or pythagorean theorem. I have shown this using Pythagorean theorem. The short side of the rectangle is marked x and calculated to have length sqroot10. See image.

The graph shows the length is twice as long. But I showed a separate calculation also using pythag.thm. to find the length of y, the long side is sqroot40.

Area of rectangle is:

A = b•h OR L×W

A=sqrt10×sqrt40

=20 See image.

Add the areas to get your final answer.

Answer:

132 degrees

Step-by-step explanation:

the angles of measure 2 and 3 have to add up to 180 degrees (because that's the angle of a straight line, which 2 and 3 make together)

180-48=132

Answer:

x=-1

Step-by-step explanation:

5x-2x-7=-10

3x-7=-10

3x-7+7=-10+7

3x=-3

x=-1

\(\text{Hey \: there!}\)

\(\text{5x - 7 - 2x = 10}\)

\(\bf{(5x - 2x) \: which \: gives \: us \: 3x}\)

\(\text{3x - 7 + 7 = 10 + 7}\)

\(\bf{ - 7 + 7 \: because \: it \: gives \: you \: 0}\)

\(\bf{10 + 7 = 17}\)

\( \frac{3x}{3} = \frac{17}{3} \)

\(\text{we \: cant \: divide \: 17 \: from \: 3 \: because \: itll \: give \: us \: a \: decimal}\)

\(\boxed{\bf{thus \: your \: answer \: is \: \bf{ \frac{17}{3} }}}\)

~

\(\frak{loveyourselffirst:)}\)

The value of lambda, the parameter for a Poisson random variable representing the number of pumpkins Steven carves in an hour, is 42.

In a Poisson distribution, lambda represents the average rate or average number of events occurring in a given time interval. In this case, Steven Clarke, the fastest pumpkin-carver on record, carved 42 pumpkins per hour on average, according to the Guinness Book of World Records.

The Poisson distribution is often used to model events that occur randomly over a fixed interval of time or space. It assumes that the events occur independently and at a constant average rate. In this context, lambda represents the average rate of pumpkin carving per hour.

So, in Steven Clarke's case, lambda is equal to 42, indicating that on average, he carves 42 pumpkins per hour based on his record-setting performance.

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Yes, the results of dividing X by a negative value and dividing X by a positive value are different. If we divide X by a negative value, the result will be negative, and if we divide X by a positive value, the result will be positive.

For instance:

It is true that 8 > 2 is unequal.

Divide both sides by 2, then:

True inequality also exists when 4 > 1. Due to the fact that we divided by a positive number, the inequality symbol remained.

Let's begin once more with

8 > 2, and apply a -2 to both sides.

-4 > -1 is erroneous. The inequality is no longer valid if the inequality sign changes when both sides are divided by a negative integer. When dividing both sides by a negative integer, the inequality sign must be changed in order to maintain its validity.

8 > 2

Add a -1 to both sides.

True for -4 < -1.

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The distance of area from the center of the circle is ​6cm.

What is the chord of a circle?

The line segment connecting any two points on a circle's circumference is referred to as the chord of the circle. It should be noted that the diameter is the circle's longest chord, which runs through its center.

Consider the given diameter of the circle 20cm and the chord 16cm of the circle.

Distance of the chord from the center,

= √AO² − AC²

= √10² − 8²

= √100−64

​= √36

​=6cm

Hence, the distance of area from the center of the circle is ​6cm.

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Answer:

go left 2 and up 6

Step-by-step explanation:

(x,y)

(x,y) --> (-2,6)

0 = x      0 = y

0 - 2 = -2 = x

0 + 6 = 6 = y

(-2,6)

When making the X negative, you want to go left on the grid. When making Y positive, you want to go up on the grid.

Answer: you would go to the left side horizontally (aka quadrant 3), then go down until 6 vertically

Step-by-step explanation: if you don't get it, here's a visual explanation

Answer:

Y= -7x -11

Step-by-step explanation:

Hope this helps ;) Plz mark Brainliest :P

The discriminant of ggg is negative.

The discriminant is a term used in mathematics to determine the nature of the solutions of a quadratic equation. For a quadratic equation in the form ax^2 + bx + c = 0, the discriminant is given by b^2 - 4ac. If the discriminant is negative, it means that the quadratic equation has no real solutions. In the context of ggg, since the discriminant is negative, it indicates that the quadratic equation associated with ggg does not have real solutions. This could imply that ggg is not a quadratic expression or that it represents a quadratic expression with complex solutions.

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What are the possible values (positive, zero, or negative) for the discriminant of the quadratic equation represented by the function g(x)?

Answer:

C. 1/3

Step-by-step explanation:

1. convert 3x + y = 1 to slope form: y = -3x +1

2. Perpendicular slope: negative reciprocal of the given slope

3. Given slope = -3x

4. Perpendicular slope = -(1/-3) = 1/3

Greetings from Brasil...

Check the attachment for filling the table

The surface area generated by revolving the curve about the x-axis is 18π square units. and the surface area generated by revolving the curve about the y-axis is 81π square units.

To find the area of the surface generated by revolving the curve x = 9t, y = 2t, 0 ≤ t ≤ 3, we can use the formula for the surface area of a solid of revolution.

(a) Revolving the curve about the x-axis:

In this case, the curve forms a straight line parallel to the x-axis. To find the surface area, we integrate the circumference of each small circle along the length of the curve.

The circumference of a circle is given by C = 2πr, where r is the distance between the curve and the axis of revolution (in this case, the x-axis). Since y = 2t is the distance between the curve and the x-axis, we have r = 2t.

To find the surface area, we integrate the circumference along the curve:

Surface area = ∫[0, 3] 2π(2t) dt

= 4π ∫[0, 3] t dt

= 4π [t^2/2] [0, 3]

= 4π (9/2)

= 18π

So, the surface area generated by revolving the curve about the x-axis is 18π square units.

(b) Revolving the curve about the y-axis:

In this case, the curve forms a straight line parallel to the y-axis. The approach is similar to part (a), but now the distance between the curve and the axis of revolution is given by x = 9t.

Using the same process as before, we find:

Surface area = ∫[0, 3] 2π(9t) dt

= 18π ∫[0, 3] t dt

= 18π [t^2/2] [0, 3]

= 18π (9/2)

= 81π

Therefore, the surface area generated by revolving the curve about the y-axis is 81π square units.

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Hence, a scatter plot with points placed at (1,3), (1,4), (3,3), (3,4), (4 ,4), (4,6), (5 ,7), (6,7), (7,9), (8,8), (9,10), and (10,10), with a line drawn through the points (1 ,3) and (4,6).

A point in mathematics is symbolized by a dot (.) and used to indicate an accurate location in space. All three of its dimensions—length, width, and height—are absent. It has no size, in other terms.The name of a point is usually written in all capitals.

Many data points are displayed on the scatter plot. We can attempt to create lines through various point sets and then compare which line best fits the data to see which of the provided graphs displays a line that does.

The scatter plot's points are as follows:

(1, 3), (1, 4), (3, 3), (3, 4), (4, 4), (4, 6), (5, 7), (6, 7), (7, 9), (8, 8), (9, 10), (10, 10)

The third graph can be ruled out when examining the available possibilities because the line created through the data points (0, 2) and (6, 7) doesn't really appear to suit the data at all.

Next, you can try connecting other point pairs with lines to see which one best fits the data. The majority of the points are along a line that is drawn through the points (1, 3), (4), and (6), which appears to encapsulate the overall trend of the data. Thus, it appears that the first choice is the best fit.

We can rule out the second and fourth possibilities since drawing a line between (3, 3) and (4, 4) either through (1, 3) and (3, 4) does not appear to reflect the trend of the data in addition to the line through (1, 3) and (4, 6).

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The correct graph that shows a line on the scatter plot that fits the data is the one with a line drawn through the points 1,3 and 4,6.

In mathematics, a graph is a visual representation of a set of objects, called vertices or nodes, that are connected by lines or arcs, called edges or links. Graphs are commonly used to represent and analyze relationships between different entities, such as people, places, or things.

The vertices in a graph can represent anything, such as cities on a map, people in a social network, or molecules in a chemical reaction. The edges between vertices represent the connections or relationships between them. For example, in a social network graph, the edges might represent friendships between people, while in a transportation network, the edges might represent roads or train tracks connecting different cities.

Graphs are used in many areas of mathematics and science, including computer science, physics, biology, and social science. They are a powerful tool for analyzing and visualizing complex systems and relationships, and have many practical applications, such as in route planning, network analysis, and social network analysis.

The correct graph that shows a line on the scatter plot that fits the data is the one with a line drawn through the points 1,3 and 4,6.

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To determine if the point is a solution or not, we have to substitute the x-value and see if the y-value is correct:

*For x=5

For x=2

For x=-1

For x=-3

Then, the point that is NOT a solution for the equation is D. (-3, 2). The solution for x=-3 is -5.5.

Answer: The total number of cups in half-gallon of water are 8 cups.

Step-by-step explanation:

80/5=16 cups=1 gallon

16/2=8 cups=1/2 gallon

Answer:

The equation of the ellipse is;

\(\dfrac{(x + 4)^2}{4^2} + \dfrac{(y - 0)^2}{1^2} = 1\)

Step-by-step explanation:

The parameters of the ellipse are;

The location of the center of the ellipse = (-4 0)

The coordinates of the vertex of the ellipse = (-8, 0)

The coordinates of the the co-vertex = (-4, 1)

The general form of the equation of an ellipse is presented as follows;

\(\dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1\)

The center of the above equation of an ellipse = (h, k)

The vertex of the above equation are; (h - a, k) and (h + a, k)

The co vertex of the above equation are; (h, k - b) and (h, k + b)

By comparison, we have;

h = -4, k = 0

For the vertex, we have;

When

h - a = -8

∴ -4 - a = -8

-a = -8 + 4 = -4

a = 4

When

h + a = -8

-4 + a = -8

∴ a = -4

a = 4 or -4

We note that a² = 4² = (-4)²

For the covertex, we have;

When

k - b = 1

0 - b = 1

b = -1

When k + b = 1

0 + b = 1

b = 1

∴ b = 1 or -1

b² = 1² = (-1)²

We can therefore write the equation of the ellipse as follows;

\(\dfrac{(x - (-4))^2}{4^2} + \dfrac{(y - 0)^2}{1^2} = \dfrac{(x + 4)^2}{4^2} + \dfrac{(y - 0)^2}{1^2} = 1\)

Therefore;

\(\dfrac{(x + 4)^2}{4^2} + \dfrac{(y - 0)^2}{1^2} = 1\)

Answer:

1. monomial

2. Binomial

3. polynomial

4.binomial

5 trinomial

6 binomial

Answer:

Step-by-step explanation:

It’s 60 baka

Answer:

a(4,3).  b( 2,3). c(4,-1). d(-2,-1/2).  e(5/2, 0).

Step-by-step explanation:

Hello , I can help you with that

the mid point is given by

Let

Point 1

\((x_{1},y_{1})\)

Point 2

\((x_{2},y_{2})\)

the midpoint is(m)

\(m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\)

all you have to do is to put those values into the equation

Step 1

P1(3,4)  and P2(5,2)

\(m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{3+5}{2},\frac{4+2}{2} )\\m=(\frac{8}{2},\frac{6}{2} )\\m=(4,3)\)

Step 2

P1(0,6) and P2(4,0)

\(m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{0+4}{2},\frac{6+0}{2} )\\m=(\frac{4}{2},\frac{6}{2} )\\m=(2,3)\)

Step 3

P1(4,2) and P2(4,-4)

\(m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{4+4}{2},\frac{2-4}{2} )\\m=(\frac{8}{2},\frac{-2}{2} )\\m=(4,-1)\)

Step 4

P1(-1,-5) and P2(-3,4)

\(m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{-1-3}{2},\frac{-5+4}{2} )\\m=(\frac{-4}{2},\frac{-1}{2} )\\m=(-2,\frac{-1}{2} )\)

Step 5

P1(-3,2) and P2(8,-2)

\(m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{-3+8}{2},\frac{2-2}{2} )\\m=(\frac{5}{2},\frac{0}{2} )\\m=(\frac{5}{2} ,0)\)

I really hope it helps you, have a nice day

Answer:

B

Step-by-step explanation:

its because the intersection of two lines is (4,2)

Answer:

B

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

Point of intersection = (4, 2 ) ← solution

Answer:

4/25=0.16=16%

3/11=0.27=27%

Step-by-step explanation:

41% of the math team's total members are brand-new recruits.

It is the ratio of two integers expressed as a decimal fraction of a whole number. It is a statistic for contrasting two sets of data, and the % sign is used to describe it as a percentage.

Percentages are often and creatively used. For instance, a lot of data is published as percentages in the media, including bank interest rates, retail discounts, and inflation rates. Percentages are essential for grasping the financial aspects of daily living.

The percentage of the entire membership that the number of new members represents is determined to be

=(14/34)×100

=41 %

0.41 x 100 = 41%

This means that 41% of the club is new members!

Thus, the number of new members is 41% of the total membership of the maths team.

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Answer:

13.5 inches.

Step-by-step explanation:

Hope this helps! :)

Answer:

17cm

Step-by-step explanation:

The two equal sides are 14cm long so 45 - 14 - 14 = 17

the answer is 47.25. trust me, its pretty obvious

AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

What is congruent ?

Congruent refers to having the same shape and size. In mathematics, two objects are said to be congruent if they are identical in shape and size, and can be superimposed onto one another. The symbol used to represent congruence is ≅. Congruence applies to various geometric objects, such as triangles, rectangles, circles, and more. When two objects are congruent, they have all corresponding angles equal and all corresponding sides equal in length.

Step 1: Statement: \($\angle DBE = \angle EBC$\)

Reason: Given that overline BE bisects \($\angle DBC$\)

Step 2: Statement: \($\angle DBC + \angle EBC = 180^\circ$\)

Reason: Angle sum property of a straight line.

Step 3: Statement: \($\angle ABC + \angle EBC = 180^\circ$\)

Reason: Angles on a straight line sum to \(180^\circ$, and $\overline{BE} || \overline{AC}$\) implies that \(\angle ABC$ and $\angle EBC$\) are co-interior angles.

Step 4: Statement: \($\angle ABC = \angle DBC$\)

Reason: From step 2 and step 3, \($\angle ABC + \angle EBC = \angle DBC + \angle EBC = 180^\circ$\). Thus, \($\angle ABC = \angle DBC$\).

Step 5: Statement: \($\triangle ABE \cong \triangle CBE$\)

Reason: By the angle-angle-side congruence criterion, since \($\angle DBE = \angle EBC$\) (from step 1) and \($\angle ABC = \angle DBC$\) (from step 4), and \($\overline{BE}$\) is common to both triangles.

Step 6: Statement: \($AB = BC$\)

Reason: By step 5, \($\triangle ABE \cong \triangle CBE$\), so corresponding sides are congruent, including \($\overline{AB} \cong \overline{BC}$\).

Therefore, AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

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