What is (3 - 3i)(-5 - 4) in the form a + bi?​

Given:

Surface area = 4,362 yards

Length = 36 yard

Width = 21 yard

Height = c

To find:

Volume of the rectangular prism.

Solution:

Surface area formula:

[tex]SA = 2(lw+wh+lh)[/tex]

Substitute the given values.

[tex]4362 = 2(36\times21 +21 \times c+36 \times c)[/tex]

[tex]4362 = 2(756+21 c+36 c)[/tex]

[tex]4362 = 2(756+57c)[/tex]

[tex]4362 = 1512+114c[/tex]

Subtract 1512 from both sides.

[tex]4362- 1512 = 1512+114c - 1512[/tex]

[tex]2850=114c[/tex]

Divide by 114 on both sides, we get

25 = c

Height = 25

Volume = length × breadth × height

             = 36 × 21 × 25

             = 18900

Volume of rectangular prism is 18900 cubic yards.

Answer:

the answer is b

Step-by-step explanation:

Final answer:

Ricky will have earned C. $713.82 on his $1000 investment at 8% interest compounded quarterly after 7 years, totaling $1,713.82 in the account.

Explanation:

Ricky invested $1000 in an account at 8% interest compounded quarterly. To calculate the future value of his investment after 7 years, we use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, including interest, P is the principal amount (the initial amount of money), r is the annual interest rate (decimal), n is the number of times that interest is compounded per year, and t is the time the money is invested for in years.

Given:

P = $1,000

r = 0.08 (8% written as a decimal)

n = 4 (compounded quarterly)

t = 7 (7 years)

Now we plug these values into the formula.

A = 1000(1 + 0.08/4)^(4*7)

A = 1000(1 + 0.02)^(28)

A = 1000(1.02)^28

A = $1,713.82

The correct answer is B. $1,713.82.

The answer is yes, 425 divided by 3333 is a rational number.

A rational number is defined as any number that can be expressed as the quotient or fraction p/q of two integers, where the numerator p is an integer, and the denominator q is a non-zero integer. In this case, 425 is an integer, and 3333 is a non-zero integer. Therefore, the fraction 425/3333 is indeed a rational number.

To demonstrate this, we can perform the division:

[tex]\[ \frac{425}{3333} \approx 0.1275 \][/tex]

This decimal representation is a repeating decimal, which is another characteristic of rational numbers. Rational numbers either terminate after a finite number of digits or begin to repeat the same finite sequence of digits over and over. The decimal expansion of 425/3333 is a repeating decimal; hence, it satisfies the definition of a rational number.

Answer:

48

Step-by-step explanation:

7x+42=11(3x+8)−2(13x−1)

Step 1: Simplify both sides of the equation.

7x+42=11(3x+8)−2(13x−1)

7x+42=(11)(3x)+(11)(8)+(−2)(13x)+(−2)(−1)(Distribute)

7x+42=33x+88+−26x+2

7x+42=(33x+−26x)+(88+2)(Combine Like Terms)

7x+42=7x+90

7x+42=7x+90

Step 2: Subtract 7x from both sides.

7x+42−7x=7x+90−7x

42=90

Step 3: Subtract 42 from both sides.

42−42=90−42

0=48

Answer: contradiction

Step-by-step explanation:

7v+42=11(3v+8)-2(13v-1)

Open the bracket

7v+42=33v+88-26v+2

7v+42=33v-26v+88+2

7v+42=7v+90

Collect like term

7v-7v=90-42

0=48

This shows that

7v+42=7v+90 contradict

Answer:

[tex]4x\sqrt{26}[/tex].

Step-by-step explanation:

Given information:

[tex]Leg_1=4x[/tex]

[tex]Leg_2=20x[/tex]

According to the Pythagoras theorem,

[tex](hypotenuse)^2=(Leg_1)^2+(leg_2)^2[/tex]

Using Pythagoras theorem, we get

[tex](hypotenuse)^2=(4x)^2+(20x)^2[/tex]

[tex](hypotenuse)^2=16x^2+400x^2[/tex]

[tex](hypotenuse)^2=416x^2[/tex]

Taking square root on both sides.

[tex]hypotenuse=\sqrt{416x^2}[/tex]

[tex]hypotenuse=4x\sqrt{26}[/tex]

Hence, the expression of the hypotenuse is [tex]4x\sqrt{26}[/tex].

Final answer:

To determine the hypotenuse of a right triangle with legs measuring 4x and 20x, the Pythagorean theorem is applied, resulting in an expression for the hypotenuse as 20.4x.

Explanation:

To find an expression for the hypotenuse of a right triangle with legs of length 4x and 20x, we can apply the Pythagorean theorem, which is written as a² + b² = c², where a and b are the lengths of the legs, and c is the length of the hypotenuse. Solving for c, we get c = √(a² + b²). Plugging in the lengths of our legs, we have:

c = √((4x)² + (20x)²)

c = √(16x² + 400x²)

c = √(416x²)

c = 20.4x

This suggests that the expression for the hypotenuse of the right triangle is 20.4x.

Answer:

its 60 or 80 because its lower than one side

Step-by-step explanation:

Answer:

-6, -7, -8

Step-by-step explanation:

Let's isolate the x by dividing both sides by -2. However, we need to be careful because when we divide or multiply an inequality by any negative number, we MUST switch the inequality sign. So, after we divide by -2, we get:

x < -5

So, we can just list any values of x that are smaller than -5, and they'll work. For example, we can have: -6, -7, -8, -9, ...

nothing just that the person above me deserves brainly

Answer:

DO IT ON UR OWN EARTHLING

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer:

Hey there!

Your answer is: 20 units

Hope this helps!

The length of AQ would be,

⇒ AQ = 20 units

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Points Q and R are midpoints of the sides of triangle ABC.

Hence, By definition of proportion we get;

QR / AQ = CB / AB

2p + 3 / 4p = 6p - 4 / 8p

2 (2p + 3) =  (6p - 4)

4p + 6 = 6p - 4

6 + 4 = 6p - 4p

10 = 2p

p = 5

Thus, The length of AQ would be,

⇒ AQ = 4p = 20 units

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ5

Answer:

(Please vote me Brainliest if this helped!)

[tex]u=\frac{-6}{7}w[/tex]  OR [tex]w=\frac{-7}{6} u[/tex]

Step-by-step explanation:

[tex]4u+8w=-3u+2w[/tex]

[tex]4u-(-3u)+8w=2w[/tex]

[tex]4u+3u=2w-8w[/tex]

[tex]7u=-6w[/tex]

[tex]u=\frac{-6}{7}w[/tex] OR [tex]w=\frac{-7}{6} u[/tex]

Independent variable is the variable you change.

Dependent variable is the variable you measure that results/depends on the independent variable.

Since u is the independent variable, you need to set the equation equal to w by isolating/getting the variable "w' by itself in the equation:

[This is because u is the variable you change, and w is the variable you measure that depends on the independent variable(u)]

4u + 8w = -3u + 2w       Subtract 2w on both sides to get "w" on one side of the equation

4u + 6w = -3u        Subtract 4u on both sides

6w = -7u     Divide 6 on both sides to get "w" by itself

[tex]w=\frac{-7u}{6}[/tex]

The answer to the math riddle 'Where can you see the world's biggest rock group?' is Mt. Rushmore. This riddle plays on the term 'rock group' to refer humorously to the monumental carvings of U.S. presidents on a mountain rather than a music band.

The student has posed a math riddle: Where can you see the world's biggest rock group? Although this may seem like a question related to geography or music at first, it is actually a play on words and is categorized as a math riddle.

The answer to this riddle is: Mt. Rushmore, because it features the faces of four U.S. presidents, which can be seen as a 'rock group'. It is the 'biggest' since these faces are carved into a mountain and are of a monumental scale. This represents a playful twist on the term 'rock group' as it does not refer to a music band, but rather a group of presidential faces carved into rock.

This riddle is a fun way to engage with wordplay and illustrates how mathematics and numbers are not always about straightforward calculations but can also involve lateral thinking and humor.

https://brainly.com/question/16169013

#SPJ2

Answer:

AB= 10 BC= 17 AC= 10 x=10

Step-by-step explanation:

trust me

Answer:

B 5

Step-by-step explanation:

log 2(32)

Replace 32 with 2^5

log2 (2^5)

We know that log a^b = bloga

5 log2(2)

We know that loga(a) =1

5*1

5

Answer:

Assuming biweekly means once every two weeks, then Juan makes $36,400 per year.

Step-by-step explanation:

I'll assume biweekly means that he's paid once every two weeks.

There are 52 weeks in a year, meaning he's paid 26 times a year (52/2=26).

26 x $1,400 = $36,400

Juan is paid a salary of $1400 biweekly then his yearly earnings

⇒ $72,400

Salary paid by Juan = $1400 weekly

Then we have to calculate his annual salary .

Since we know that,

There are 52 weeks in a year.

Since Juan's 1 week salary = $1400

Then his 52 weeks salary is calculated by multiplying 52 with the weekly amount.

Therefore,

His 52 weeks earning = 52x1400

                                     = $72,400

Hence,

His annual earnings = $72,400

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ6

Answer:

A. I only

The y-axis should be labeled

Step-by-step explanation:

Proper labelling of the axis would help graph less misleading. When plotting graph, both x and y axis must be properly scaled by representing each unit with a reasonable measurement e.g taking 2cm as 1unit, 5cm as 1unit etc.

Note that rescaling the axis will only make the graph look ambiguous and confusing, therefore we must desist from scale resizing.

A graph can be misleading is if the y axis is not labeled or the correct scale are not used for either of the y axis or x axis.

A graph is a pictorial representation diagram composed of points which are connected so as to show the relationship between two or more variables.

A graph can be misleading is if the y axis is not labeled or the correct scale are not used for either of the y axis or x axis.

Find out more on graph at: https://brainly.com/question/14323743

The confounding variable, often described as a confounder or confusing factor, is a dimension in studies looking at a possible causation link, and further calculation can be defined as follows:

Therefore, the final answer is "Confounding variable".

Learn more:

brainly.com/question/9130059

Final answer:

The difference in yield between cocoa plant types due to potential freeze effects is an example of a confounding variable. Replication and control of confounding factors are necessary to ascertain true plant performance.

Explanation:

The situation described with cocoa plant types yielding different amounts of bushels per acre due to a potential major freeze is an example of a confounding variable. A confounding variable is an outside influence that changes the effect of a dependent and independent variable. This means that the difference in yield between the two types of cocoa plants may not solely be because of plant superiority but could also be significantly influenced by the freeze that occurred during the growing season of the second plant type.

To determine the true effect of the plant type on yield, researchers would need to conduct a study that controls for the confounding variable, in this case, the freeze. This could include replication of the experiment in various conditions or over multiple years to ensure that the results reflect the actual performance of the plant types rather than the effect of an abnormal weather event. Without this, it remains unclear whether the observed yield difference was indeed due to the inherent superiority of one cocoa plant type over the other.

Answer:

D. The outcomes of events A and B are dependent on each other

Step-by-step explanation:

The correct probabilities for the stated events are P(A|B) = 2/3, P(B|A) = 2/3, meaning both statements A and B are false. Since these probabilities are not equal to P(A) and P(B) respectively, this shows the events A and B are not independent, making statement C false and D true.

To solve the problem, we first need to define the events. Event A is that a box selected is blue, and Event B is that the selected box contains a prize. We're asked to verify certain probabilities related to these events.

First, let's find the total probability of each event. The probability of selecting a blue box (Event A) is 3/5 because there are 3 blue boxes out of 5 total. The probability of selecting a box with a prize (Event B) is 3/5, as 3 of the 5 boxes contain a prize.

The probability of A given B, P(A|B), is the probability that a selected box is blue, given that it contains a prize. We know there are 3 boxes with prizes, and of those, 2 are blue. So, P(A|B) = 2/3. This is not equal to P(A) = 3/5, so Statement A is false.

The probability of B given A, P(B|A), is the probability a selected box contains a prize, given that it is blue. We know there are 3 blue boxes and 2 of them have prizes. So, P(B|A) = 2/3. This is not equal to P(B) = 3/5, so statement B is false as well.

This means Events A and B influence each other and are, therefore, not independent. This makes Statement C false and Statement D true.

https://brainly.com/question/22962752

#SPJ11

The alternate interior angle to ∠BEF is ∠DEB, which is on the opposite side of the transversal line t and lies between the parallel lines m and n.

In the context of geometry and specifically the study of parallel lines and transversals, alternate interior angles are pairs of angles on opposite sides of the transversal but inside the two lines.

Since line m is parallel to line n with transversal line t, the alternate interior angle to ∠BEF should also be on the opposite side of the transversal and inside the parallel lines, but not adjacent to ∠BEF. Considering the choices presented and assuming the standard notation for angles in geometric figures, ∠DEB would be the alternate interior angle to ∠BEF since it is non-adjacent and lies between line m and line n on the opposite side of the transversal.

Answer:

     I think 140

Step-by-step explanation:

Answer:

≈ 78.54

Step-by-step explanation:

The formula to calculate the area of a circle is [tex]r^{2} *\pi[/tex]

in this case the radius is 5 so for [tex]r^{2}[/tex]

5 * 5 = 25

then we multiply that by [tex]\pi[/tex]

25 * [tex]\pi[/tex] ≈ 78.54

The area in square yards in which the dog can roam is approximately 78.54 square yards.

To find the area in square yards in which the dog can roam, we need to find the area of a circle with a radius equal to the length of the rope. The formula for the area of a circle is A = πr^2, where A is the area and r is the radius. In this case, the radius is 5 yards. Using the formula, the area is A = π(5^2) = 25π square yards, or approximately 78.54 square yards.

https://brainly.com/question/28642423

#SPJ2

The perimeter of square ABCD is 8√13 units

from the question, we have the following parameters that can be used in our computation:

The square

The side length (x) of the square is calculated as

x² = 4² + 6²

So, we have

x = 2√13

The perimeter is calculated as

P = 4 * 2√13

Evaluate

P = 8√13

Hence, the perimeter is 8√13

Read more about perimeter at

https://brainly.com/question/33812786

#SPJ1

Answer:

2x-1 =0      F(x)=(x+1)(x-2)(2x-1)^2

Step-by-step explanation:

Answer:

2x-1

(x+1)(x-2)(2x-1)^2

Step-by-step explanation:

Answer:

All numbers from 7 and up (x is greater than or equal to 7)

Step-by-step explanation:

|7-7| =7-7

0=0

|8-7|=8-7

1=1

BUT

|6-7| =/= 6-7

1 =/= -1

Answer:

Step-by-step explanation:

Answer:

point b

Step-by-step explanation:

Answer:

E 551.625 ft^2

Step-by-step explanation:

We have a rectangle and a circle (2 1/2 circles)

The area of the rectangle is

A = l*w = 15*25 =375

The area of the circle

d =15 so r = d/2 = 7.5

A = pi * r^2

   = 3.14 (7.5)^2

   =176.625

Add the 2 together

375+176.625 =551.625 ft^2

Answer:

E is the correct answer

Step-by-step explanation:

176.71ft^2 for the two semicircles

375

Answer:

Option A) x = 3 and y = 5

Step-by-step explanation:

−7x + 3y = −6_____ first equation

−3x + 3y = 6_____ second equation

Since both equations have "y" that share the same coefficients (that is 3),we can solve this equation.

---First step is to subtract the equation 2 from 1

−7x + 3y = −6

−3x + 3y = 6

From the above equation, we have

-4x = -12

Divide both sides by -4

X = 3

--- Substitute x = 3 in equation 1

−7x + 3y = −6

-7(3) + 3y = -6

-21 + 3y = -6

3y = 21 - 6

3y = 15

Y = 5

X = 3 and y = 5( option a)

Answer:

$12.75

Step-by-step explanation:

Moe has been offered two different summer jobs. Job A would pay him an hourly rate of $12. Job B would pay him $510 for a 40-hour work week. First, you have to set up the problem like this:

$510/40 hr = ?/1 hr

The next step is to either cross multiply or you can divide the numerator and denominator by the denominator number because 40/1 is still going to be 40. That means, $510/40= what number?

Answer: $12.75 per 1 hour

Answer:

The answer is 25 but I don't see and answer choice for it.

Step-by-step explanation:

The Range is the difference between the lowest and highest values.

so,

125-100=25

Answer:

y=-2x+9

Step-by-step explanation

you would subtract  2x on both sides resulting in y=-2x+9 and you have the answer. Your slope is is -2 and y-intercept is 9

The height of the red prism must be twice the height of the blue prism.

Volume of a prism can be calculated as the area of the base multiplied by the height.  Since the height of the blue prism is twice that of the red prism, the height of the red prism must be twice as much as that of the blue prism to make the volumes equal.