simplify the expression. be sure to show or explain how you arrived at your answer (-6i)(4i)

9 square meters is the area of triangle LMN. Using the concept of Heron's formula.

Heron of Alexandria is credited with creating Heron's formula, which determines a triangle's area by dividing the lengths of its sides. if the side lengths are represented in symbols by a, b, and c.

According to Heron's formula the area = √s (s - a)(s - b)(s - c)

A triangle's semi-perimeter, whose area has to be calculated, is represented by the letter s in Heron's formula. s = (a+b+c)/2 is the formula for the triangle's semi-perimeter, which is the sum of its three sides.

a triangle with three sides, a, b, and c.

given data was LM = 7,MN = 6 and perimeter was given by 16m

As we know perimeter is the sum of all the sides  

so, Perimeter=LM + MN + NL

NL=Perimeter-(LM+MN)

NL=16 - 7 - 6

NL= 3

By Heron's formula,

Area = √[(s(s-a)(s-b)(s-c)].  

where s = perimeter/2

so, s = 16/2 = 8

area = √[(8(8-7)(8-6)(8-3)]

area = 8.94427191 ≈ 9 square meters.

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Answer: 9m

Step-by-step explanation:

7.08  is the probability, rounded to the nearest thousandth.

What does the math term "probability" mean?

The simple definition of probability is the likelihood that something will occur.

                   We can discuss the probabilities of various outcomes to determine how likely they are whenever we are uncertain about the result of an event. Statistics describes the examination of events subject to probability.

Probability of getting a six on rolling a dice = 1/3

Here ,

n = 4 , p = 1/3

So, For P(X <= 1) = P(X = 0) + P(x = 1)

4C0 * (1/6)^0 * (1 - 1/3)^(4-0) + 4C1 * (1/3)^1 * (1-1/3)^(4-1)

= 1 * 1 * (5/3)^4 + 4 * (1/3) *

= 5.75 + 1.33

=  7.08

= 7.08 (nearest thousandth)

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Answer:

3y, 9y²

Step-by-step explanation:

We use laws of binomial

(a+b)²=a²+2ab+b²

From this, we get

15x × * × 2 = 90xy

2×*=6y

*=3y

Now, we square this term to get the last term

3y×3y=9y²

The value of b = 17 and c = 6 makes ΔGHI ≅ ΔZYX.

What is congruence?

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

If and only if two angles have equal measurements, they are said to be congruent. If and only if two segments have equal amounts of each, they are congruent. If and only if all of the corresponding angles and sides are congruent, two triangles are said to be congruent.

Here, we have

Given the sides of both the triangle and

we have to find the value of b and c that makes ΔGHI ≅ ΔZYX

b = 17 and,

48 = 8c

c = 6

Hence, the value of b = 17 and c = 6 that makes ΔGHI ≅ ΔZYX.

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The average speed of the beetle is 1.53 feet per minute.

Average speed is calculated by dividing a quantity by the time required to obtain that quantity. Meters per second is the SI unit of speed. The formula S = d/t, where S is the average speed, d is the total distance, and t is the total time, is used to determine average speed.

Given that, it moves 23 of a foot in 15 of a minute.

Here, the average speed

= 23/15

= 1.53 feet per minute

Therefore, the average speed of the beetle is 1.53 feet per minute.

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Answer:

a. -4

b. 1/4

Step-by-step explanation:

a. [tex]\textrm{slope}_{||} = \dfrac{\textrm{rise}}{\textrm{run}} = \dfrac{-4}{1} = -4[/tex]

b. [tex]\textrm{slope}_\perp = \dfrac{-1}{\textrm{slope}_{||}} = \dfrac{-1}{-4} = \dfrac{1}{4}[/tex]

Answer:

-2

Step-by-step explanation:

we use the y2-y1/x2-x1 fomrula to find slope

14-8/7-10

6/-3

-2 is the slope

hopes this helps

The confidence interval approach is the correct method by which to determine sample size. True

Confidence Interval:

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test.

In statistics, confidence is another word for probability. If you create a confidence interval, for instance, with a 95% level of confidence, you can be sure that 95 out of 100 times, the estimate will fall between the upper and lower values indicated by the confidence interval.

Your desired confidence level is usually one minus the alpha (α) value you used in your statistical test:

                    Confidence level = 1 − α

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The cost to Claire for the phones and their service for m months is $350 + $65*m.

The cost to Claire for the two phones is $350, and the cost for the service for m months is $65m, for a total cost of $350 + $65m.

Generally, Claire will pay a total of $350 + $65*m for the two phones and their service for m months.

The total cost for Claire for the two phones and their service for m months is $350 + $65*m.

The cost of the phones and service for m months to Claire is $350 + $65*m.

Claire will pay $350 for the phones and $65m for the service for a total of $350 + $65m for m months.

The cost to Claire for the two phones and their service for m months is $350 + m*$65.

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Answer: The animal hopped 60 meters in 10 seconds

6 m/s (lol)

Step-by-step explanation:

First off ok and second off bye <3

Answer:

A. -2, -5, -8, -11, -14, -17, ...

Step-by-step explanation:

The difference between consecutive terms is constant.

Elena is covering a distance of 8 miles in one minute.

Given is that Elena's distance and times for a training run are given by the equation → y = 8.5x

Now, if we consider the equation, it can be seen that the number {8.5} gives the unit rate or slope of the graph of the straight line. So, she is running at a speed of 8.5 miles per minute.

Therefore, Elena is running at a speed of 8.5 miles per minute.

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Answer:

5832

Step-by-step explanation:

Answer: False

Step-by-step explanation:

If [tex]y=0.5[/tex], then [tex]y^2=0.25[/tex], whereas [tex]y=0.5[/tex].

Therefore, this is a counterexample. Hence, the statement is false.

The given statement can be expressed as ~S.

What is a negation of a statement?

A negation of a statement is a statement that is the opposite of the original statement. In other words, a negation of a statement is a statement that is true if and only if the original statement is false, and vice versa.

To express the statement "One does not ski fast" symbolically, we can use the negation symbol

Using the symbol "S to represent the statement "One skis fast", we can express the statement "One does not ski fast" symbolically as:

~S

This can be read as "Not S" or "It is not the case that S."

Hence, the given statement can be expressed as ~S.

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The measure of angle c is m ∠c = 103°.

What is triangle?

Three edges and three vertices define a triangle as a polygon. One of geometry's fundamental shapes is this one. The designation "triangle ABC" refers to a triangle with the vertices A, B, and C. When three points are non-collinear in Euclidean geometry, they each produce a distinct triangle and plane.

180 degrees is the sum of the triangle's three angles.

Let Δabc is given with m ∠a = 30° and m ∠b = 37°

We have to find the measure of angle c.

Since the sum of three angles of triangle is 180 degree.

⇒ m ∠a + m b + m ∠c = 180°

30° + 37° + m ∠c = 180°

77° + m ∠c = 180°

m ∠c = 180°- 77°

m ∠c = 103°

Hence, the measure of angle c is m ∠c = 103°.

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By graphing the system of equations, we can see that the solution is (3, 5).

I assume we want to solve the following system of equations graphically:

x - 3y = -12

2x - y = 1

To do so we only need to graph both the lines on the same coordinate axis and find the point where the lines do intersect. The graph can be seen below.

There we can see that the intersection is at (3, 5), so that is the solution of the system of equations.

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Answer:

j = - 8

Step-by-step explanation:

1 - j/4 - 3

1 is also 4/4

so

4/4 - j/4 = 3

4 - j/ 4= 3

multiply by 4 on both sides

which gets you

-j  + 4 = 12

minus 4 from both sides

-j = 8

j = -8

Answer:j=-8 I hope this helps

Step-by-step explanation:

1-j/4=3

Multiply both sides of the equation by 4

which gives you

4-j=12

Move the constant to the right-hand side and change its sign
-j=12-4

Subtract the numbers

-j=8

Change the signs on both sides of the equation

j=-8 - This is your answer

A typical large recycling tote can hold 10 kilograms of plastic yogurt containers. the  volume is 0.01 m^3

Generally, To determine the volume needed to hold 10 kilograms of plastic yogurt containers, you would need to know the density of the plastic and the size and shape of the containers.

The density of a material is a measure of its mass per unit volume. It is usually expressed in kilograms per cubic meter (kg/m^3). The density of plastic can vary depending on the specific type of plastic and any additives that are present.

Once you know the density of the plastic, you can use the following formula to calculate the volume needed to hold a certain mass of the material:

Volume = Mass / Density

For example, if the density of the plastic is 1000 kg/m^3 and you want to hold 10 kilograms of it, the volume needed would be:

Volume = 10 kg / 1000 kg/m^3

Volume  = 0.01 m^3

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THE COMPLETE QUESTION WAS NOT FOUND

Answer:

DF=FE

Step-by-step explanation:

first to make it easier we can find the angles to each side

the sum of all angles of a triangle equal 180 degrees so to find x we set all the angles equal to 180

(3x+5)+(4x-15)+(2x+10)=180

9x+0=180

/9.     /9

x=20

now we can find each angle

3(20)+5

60+5

D=65 degrees

4(20)-15

80-15

E= 65 degrees

2(20)+10

40+10

F=50 degrees

Angle D and E are the only angles equal to each other so answer C and d ARE INCORRECT

Since there are 2 of the same angles this is an isosceles triangle

the 2 of the same angles are the base so the side going up are connecting to the top angle F so the sides will be DF and FE and these are equal

hopes this helps

987.6 million written in scientific notation is 9.876 × [tex]10^{8}[/tex]

What is scientific notation?

Scientific notation is basically a shortcut for writing numbers. It is a method of expressing real numbers in terms of a significand, multiplied by a power of 10.

When using scientific notation, you're allowed to simplify all the zeros that you have in the number by writing the number as a product of a number and a power of 10. 987.6 million in exponential form is [tex]a^{b}[/tex], a is the base, and b is called the exponent . The term [tex]a^{b}[/tex] is called the exponential expression. 987.6 million = 9.876 x 100,000,000 = 9.876 ×[tex]10^{8}[/tex].

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The double bar graph collected from the survey is given by the image presented at the end of the answer.

A bar graph shows the number of times that each observation appears in the data-set.

The double bar graph means that for each input on the bar graph, there are going to be two bars.

The meaning of each bar is given as follows:

The colors for each bar are given as follows:

Then the data of the table is used to give the height of each bin in the double bar graph.

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The intercepted arc measures 11.78 to the closest tenth of an inch.

Remember that an arc is a portion of a circle's circumference.

Therefore, an intercepted arc is an arc that is created when one or more chords or line segments intersect a circle and come together at a vertex.

It's vital to keep in mind that the lines or chords can come together inside, outside, or in the center of a circle.

An interrupted arc and the inscribed and central angles of a circle have some intriguing correlations.

An inscribed angle is created in geometry between chords or lines that cut through a circle.

The center angle is a joint created by the intersection of two radii.

According to our question-

angel/360=arc/circumference

85/360=

d= 14 inches

Hence, The intercepted arc measures 11.78 to the closest tenth of an inch.

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Answer:

What is 213 divided? 2 I think

Also how do you break 23 into tens and ones? It would be 2 tens and then it would be 3 ones

The number of boxes of sugar that Alonso can buy are 4.5 boxes.

Given is that Alonso went to the market with $55 to buy eggs and sugar. He knows he needs a package of 12 eggs that costs $2.75. After getting the eggs, he wants to buy as much sugar as he can with his remaining money.

The money remaining after buying 12 eggs : {r} = $(55 -2.75).

Cost of one box of sugar = $11.5

The number of boxes that he can buy are -

n = (55 - 2.75)/11.5

n = 4.5 boxes {approx.}

Therefore, the number of boxes of sugar that Alonso can buy are 4.5 boxes.

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The missing number is      [tex]\frac{1}{5}[/tex]

Let the missing number be x.

now, [tex]\frac{5x}{7}[/tex] = [tex]\frac{1}{7}[/tex]

on cross multiplying we get,

x= [tex]\frac{7}{35}[/tex]

on simplifying,

x= [tex]\frac{1}{5}[/tex]

Hence, the missing number is      [tex]\frac{1}{5}[/tex]

What is cross multiplying?

An equation involving a variable as a component of two fractions set equal to one another can be solved by cross multiplying. Cross-multiplying lowers the proportion to one straightforward equation, enabling you to solve for the variable in issue. The variable serves as a placeholder for an unknowable number or quantity.

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I don't see the picture. Can you send it in the message.

Answer:

number from last year - number of decrease

Step-by-step explanation:

The numbers are missing from the problem, but this is what you need to do.

Start with the number of fish in the pond last year.

Subtract the number of decrease.