If x = 3i, y = 2i, and z = m + i, the expression xyz equals
1.) -12-12mi
2.)-6-6mi
3.)12-12mi
4.)6-6mi

Explanation:

Let the side of a square be represented as "x".

The perimeter of a square is the sum of it's sides. Since the sides are equal, we can add x four times to get the perimeter.

[tex]\rightarrowtail \text{Perimeter of square} = 4 \times x[/tex]

[tex]\rightarrowtail \text{Perimeter of square} = x + x + x + x[/tex]

[tex]\rightarrowtail \boxed{\text{Perimeter of square} = 4x}[/tex]

To find the perimeter of the square, simply substitute the side length of the square into 4(Side length) to find the perimeter.

Answer:

7 mm

Step-by-step explanation:

2*9.9=19.8

138.6/19.8=7

Answer:

a) [tex]1\frac{1}{4}[/tex]

b) [tex]46.69[/tex]

Step-by-step explanation:

a) To evaluate the value of this long expression, we can split it up into parts that are easy to calculate. [tex]2\frac{1}{3}+\frac{1}{2}-\frac{1}{12}[/tex] is equal to [tex]2+\frac{4}{12}+\frac{6}{12}-\frac{1}{12}[/tex] and since the fractions have the same denominators, you can add the numerators and keep the denominators. This would result in [tex]2\frac{9}{12}[/tex], which is [tex]2\frac{3}{4}[/tex] simplified. So, now we know that the first parentheses are equal to [tex]2\frac{3}{4}[/tex]. Next, we have to calculate [tex]2(\frac{1}{3}+\frac{1}{4})[/tex]. Using the distributive property to expand, we reach [tex]\frac{2}{3}+\frac{2}{4}[/tex] and we bring them both with a denominator of 12 and add to get [tex]\frac{7}{6}[/tex]. Finally, the last square root is equal to [tex]\frac{1}{3}[/tex] because [tex](\frac{1}{3})^2[/tex] is equal to [tex]\frac{1}{9}[/tex]. To find our final answer we put all of our answers together in the expression [tex]2\frac{3}{4}-\frac{7}{6}-\frac{1}{3}[/tex]. Bring all of these fractions to a denominator of 12 to get: [tex]2\frac{9}{12}-\frac{14}{12}-\frac{4}{12}[/tex]. We combine to get [tex]1\frac{1}{4}[/tex].

b) Similar to the previous part, we can split this expression into two parts to make it more manageable; [tex]-4.9(-12+\sqrt{0.81})[/tex] and [tex](2.2)^2*1.59[/tex]. Once we find the value of each, we will get our final answer by subtracting the second from the first (as shown in the expression). [tex]-4.9(-12+\sqrt{0.81})[/tex] is equal to [tex]-4.9(-12+0.9)[/tex] which is [tex]-4.9*-11.1[/tex] which is [tex]54.39[/tex]. [tex](-2.2)^2*1.59[/tex] is equal to [tex]4.84*1.59[/tex] which is [tex]7.6956[/tex]. To get the final answer, we do [tex]54.39-7.6956[/tex] which is [tex]46.6944[/tex]. Rounded to the nearest hundredth, it is [tex]46.69[/tex].

Hope this helps :)

Answer:

The digit in the ten thousand place is 4 in 542,970

Step-by-step explanation:

Answer:

we just need to divide the amount of feet by the minutes so

22.75 divided by 7=3.25

so she plants 3.25 square feet a minute

Hope This Helps!!!

Answer:

3.25 per min

Step-by-step explanation:

Answer:

The graph can be seen in the attached image

Step-by-step explanation:

Step 1: Write the given function

[tex]y = 6x - 8[/tex]

Step 2: Plot the graph of the function

Done using a graphing calculator

Answer:

y=mx+b

m=(11-(-5))/(9-1)

m=16/2

m=8

y=8x+b

-5=8(1)+b

b=-13

y=8x-13

Answer:

it can hold 3,960 books

Step-by-step explanation:

264 × 15 = 3,960 just multiply the bookshelves by how much it can hold

Answer: he has 4 apples now

Step-by-step explanation:

He has 12 apples to begin with and he gives away 8 to his friend

So, 12 - 8

This gives you 4

Answer:

4

Step-by-step explanation:

12 - 8 = 4

To double check: 8 + 4 = 12

Have an amazing day!

PLEASE RATE!!

Answer:

yasssssss

Step-by-step explanation:

Answer:

Yes, it is false.

Answer:

x = 15

Step-by-step explanation:

We can see that the angle with a measure of 37° and the angle with (9x + 8)° form a straight line, so they add up to 180°. This means that 37 + 9x + 8 = 180.

Step 1: Combine like terms.

Step 2: Subtract 45 from both sides.

Step 3: Divide both sides by 9.

Therefore, x = 15!

The expression 5⁻¹³× 5⁵ × 2⁵ can be rewritten as 5⁻⁸ × 2⁵.

Exponentiation is the method of writing a number in terms of powers. This method is usually useful for writing larger numbers in an understandable and effective way.

For a number x, suppose x can be written as aᵇ, here 'a' is called the base and 'b' is called the exponent.

We have to write the expression 5⁻¹³× 5⁵ × 2⁵ in a form where each base comes only once.

This can be solved using one of the basic property of exponents as stated below:

xᵃ × xᵇ = xᵃ⁺ᵇ

That is, upon multiplying two exponents with the same base value, we can combine it and add the exponent values.

∴ 5⁻¹³× 5⁵ can be rewritten as 5⁻⁸.

So 5⁻¹³× 5⁵ × 2⁵ =  5⁻⁸ × 2⁵.

Hence the expression 5⁻¹³× 5⁵ × 2⁵ can be rewritten as  5⁻⁸ × 2⁵ where each base comes only once.

To learn more about Exponentiation, click on the link given below:

https://brainly.com/question/2193820

#SPJ2

Answer :

Given :

To Find :

Solution :

We know,

[tex] \bf \longrightarrow \qquad \: \pi {r}^{2} h = \: Volume_{(cylinder)}[/tex]

Where,

Substituting the values in the formula :

[tex] \sf \longrightarrow \qquad \: 3.14 \times {r}^{2} \times 14 = \: 2813.44[/tex]

[tex]\sf \longrightarrow \qquad \: 43.96 \times {r}^{2} = \: 2813.44[/tex]

[tex]\sf \longrightarrow \qquad \: {r}^{2} = \: \dfrac{ 2813.44}{43.96}[/tex]

[tex]\sf \longrightarrow \qquad \ {r}^{2} = \: 64[/tex]

[tex]\sf \longrightarrow \qquad \: {r} = \: \sqrt{64} [/tex]

[tex]\pmb{ \bf{ \longrightarrow \qquad \: {r} = \: 8}}[/tex]

Therefore,

Considering the given linear function, variable x represents the number of hours since the bowl was filled.

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

In this problem, the number of ounces of water left in the bown after x hours is given by:

y = -0.5x + 4.

Variable x is the input, hence, it represents the number of hours since the bowl was filled.

More can be learned about linear functions at https://brainly.com/question/24808124

Answer:

Part A: The number of ounces of water left in the bowl depends on the number of hours since the bowl was filled. So the number of ounces is the dependent quantity. The y-variable represents the dependent quantity. So, the y-variable represents the ounces of water left in the bowl.

Part B: The number of hours since the bowl was filled is the independent quantity. The x-variable represents an independent quantity. So, the x-variable represents the number of hours since the bowl was filled.

Part C: The value 4 is the initial value of the function. It represents the ounces of water in the bowl immediately after the bowl was filled and before the cat drank any water from the bowl.

Part D: The value -1/2 is the function’s rate of change. It represents the change in ounces of water in the bowl with every hour.

Step-by-step explanation:

I took the Edmentum test.

Step-by-step explanation:

(16-8)×(2+4)

(8)×(2+4)

(8)×(6)

48

Answer:

4 Quarters and 11 Dimes

Step-by-step explanation:

In the first equation, we know that [tex]D=15-Q[/tex] If we plug this into the second equation, we get 25q+10(15-Q)=210. If we simplify this equation, we get 25q+150-10q=210, which can be simplified to 15q+150=210. And since 15q=60, q=4. Then, you subtract 4 from 15, to get 11 dimes. So, there are 4 quarters and 11 dimes. Hopefully, this helps!

Answer:

1.01785714286 seconds

Step-by-step explanation:

What you need to do is take the final end position and divide it by the speed which is -112 units every second and you get the amount of time that it should take.

Answer:

[tex]\displaystyle y = -\frac{1}{4}x - 10[/tex]

Step-by-step explanation:

Perpendicular equations have OPPOCITE MULTIPLICATIVE INVERCE RATE OF CHANGES [SLOPES], so 4 becomes −¼. Now, proceed with plugging the information into the Slope-Intercept Formula:

[tex]\displaystyle -11 = -\frac{1}{4}[4] + b \hookrightarrow -11 = -1 + b; -10 = b \\ \\ \boxed{y = -\frac{1}{4}x - 10}[/tex]

I am joyous to assist you at any time.

Answer:

y= - 1/4 of 10

Step-by-step explanation:

Step-by-step explanation:

step in image

a = 1

b = 7

thank you

Answer:

Farmer John made 4 cobblers.

Step-by-step explanation:

In order to figure out how many cobblers he made, you have to find x. The equation would be x=24÷6. 24 divided by 6 is 4, so x=4.

Answer:

y = kx

Step-by-step explanation:

k = constant of proportionality

Answer:

y = kx

Step-by-step explanation:

This shows direct variation between the values of x and y, where k is the proportionality constant.

Answer:

2.5%

Step-by-step explanation:

interest = principal * rate * time

1200 = 8000r6

1200 = 48000r

r = 0.025

Rate for account is 2.5%

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Total = 40

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

Step-by-step explanation:

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

Based on the information given the total number of shapes on Jeffrey paper is  40 shapes.

⇒ Using this formula;

Total number of shapes=Number of shapes/Percentage of total sales

Which:

Number of shapes= 8

Percentage of total sales=20% or .20

Let's plug in the formula;

Total number of shapes=8/.20

Total number of shapes=40 shapes

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

~[RevyBreeze]~

Answer:

-4 ≤ y <∞.

Step-by-step explanation:

y = 3x² - 18x + 23

= 3(x² - 6x) + 23

= 3(x² - 6x + 9) - 27 + 23

= 3(x - 3)² - 4 ≥ -4

So the range is -4 ≤ y <∞.

Answer:

125 ft^3

Step-by-step explanation:

V = length x width x height so for a cube V= side^3

V= 5 x 5 x 5 or 5^3 = 125

Hope this helps!

Answer:

[tex]y=-\frac{1}{5} -7.[/tex]

Step-by-step explanation:

1) the rule: if two lines are y=k₁x+b₁ and y=k₂x+b₂ are perpendicular, then k₁*k₂=-1;

2) according to the rule above, the correct answer is y= -1/5 x-7.

Answer:y= 0.035x. There are 0.035 ounces in every gram.

Step-by-step explanation:I just did the assignment and got it right

Answer:

y = 0.035x. There are 0.035 ounces in every gram.

Its B

Step-by-step explanation: