Which pair of complex numbers has a real-number product? (1 + 3i)(6i) (1 + 3i)(2 – 3i) (1 + 3i)(1 – 3i) (1 + 3i)(3i)

CHECK THE ATTACHED FIQURE FOR THE BRIDGE

Answer:

60 ft

Step-by-step explanation:

From the question we know that triangles ABC and EDC are in a 1:1 with this given ratio it implies that

triangles ABC and EDC are congruent then we can say

side EC = side AC

3x + 9 = 5x - 5

Then we can simplify to know value of x

3x + 14= 5x

2x = 14

x = 7

But we know that AC= 5x - 5 , then substitute value of x into it

AC = 5x + 5 = 5(7) - 5

= 35 - 5

AC= 30 ft

Also EC= 3x + 9 then substitute value of x into it

EC = 3x + 9 = 3(7) + 9

= 21 + 9

EC= 30 ft

Then the the distance between the top and bottom of the bridge, in feet, = EC+AC

= 30 + 30 = 60 ft

Answer:

60 ft

Step-by-step explanation:

i did the test

Answer:

Two complex roots

Step-by-step explanation:

A discriminant of a quadratic equation ax² + bx +c is:

For the given function f(x)= 6x² - 5x + 3 the discriminant is:

Since it has i element, the roots are complex

Correct option is the first one

Answer:

y=-x-2

Step-by-step explanation:

y-3=-x-5

y=-x-2

Answer:

72 trips

Step-by-step explanation:

Hey there!

Well to find the amount of trips the ferry will need to take we'll do,

2232 ÷ 31 = 72

72 trips

Hope this helps :)

Answer:

72 trips

Step-by-step explanation:

2,232÷31 = 72

Answer:

yes

Step-by-step explanation:

so first you would convert pounds into ounces (It's easier for me)

and there are 16 ounces in one pound so for 3 pounds you would have 48 ounces then add the 15 ounces to get 63 ounces and if she needs twice as much to make a vase she would need 126 ounces for a vase then you would add the other 63 to that to get a total of 189 ounces of clay in order to create the bowl and vase, and in order to find out how many ounces are in a 12 pound bag you would just multiply 12 by 16 to get 192 ounces. So yes she does have enough clay to make a bowl and a vase.

Answer:

1/12

Step-by-step explanation:

Answer:

The answer is:  C. 1/12

Step-by-step explanation:

I know this is correct because I have the same question on my assignment and it was right.

Answer:

The probability that exactly 2 buyers would prefer red car is 0.0317.

Step-by-step explanation:

Let the random variable X represent the number of buyers would prefer red car.

The probability of the random variable X is, p = 0.40.

A random sample of n = 14 buyers are selected.

The event of a buyer preferring a red car is independent of the other buyers.

The random variable X thus follows a Binomial distribution with parameters n = 14 and p = 0.40.

The probability mass function of X is:

[tex]P(X=x)={14\choose x}(0.40)^{x}(1-0.40)^{14-x};\ x=0,1,2,3...[/tex]

Compute the  probability that exactly 2 buyers would prefer red car as follows:

[tex]P(X=2)={14\choose 2}(0.40)^{2}(1-0.40)^{14-2}[/tex]

                [tex]=91\times 0.16\times 0.0021768\\=0.031694208\\\approx 0.0317[/tex]

Thus, the probability that exactly 2 buyers would prefer red car is 0.0317.

Hey there!

First, we want to put the equation of this first line in slope-intercept form.

5y=x-5

We divide both sides by 5.

y=1/5x-1.

The slope of a perpendicular is line is the negative reciprocal of the slope of the original line. The slope of a line perpendicular to a line with the equation y=1/2x would be -2, because you flip the numerator and denominator and then make it negative.

So, this means that the slope of the line perpendicular to the line y=1/5x-1 is -5. So, here's our equation so far.

y= -5x+b

Now, we need to find the b. To do this, we can plug in this point (-1,0) that this perpendicular line goes through and solve for b.

0=-5(-1)+b

0=5+b

b= -5

So, this gives us the equation y= -5x-5

Have a wonderful day!

Answer:

Carmen bought 5 pounds of coffee

Step-by-step explanation:

The cost of buying coffee is $8.44 per pound. Let us assume she bought x pound of coffee, this means that she spent $8.44x on coffee.

She went to the coffee store with $80 gift card and left with $37.80, this means that after spending $8.44x from the initial $80, she had $37.80. To find the number of pounds she bought, we are to use the following equation:

80 - 8.44x = 37.80

8.44x = 80 - 37.80

8.44x = 42.2

x = 42.2/ 8.44 = 5

x = 5 pounds.

Carmen bought 5 pounds of coffee

Answer: C) 17

Step-by-step explanation:

Let x be the number of large boxes

As per given,

Number of small boxes= 3 × (number of large boxes)

i.e. Number of small boxes= 3x

Allie is transporting boxes of two sizes: 12 cubic feet and 5 cubic feet.

Total volume = 12  (number of large boxes) + 5(Number of small boxes)

= 12 x+ 5 (3x)

= 12x+15x

= 27x

A moving van’s cargo area has a maximum volume of 480 cubic feet.

[tex]\Rightarrow\ 27x \leq480[/tex]

Divide both sides by 27 , we get

[tex]x\leq17.78[/tex]

i.e. maximum value x can take = 17

So, the maximum number of larger boxes that she can fit in the van = 17.

Hence, the correct option is C) 17 .

Answer:

32

Step-by-step explanation:

P=2(l+w)

so 2(11+5)=P

2(11+5)=32

Answer:

1/3!

Step-by-step explanation:

Good Luck On Whatever You Needed This For!

The probability of drawing a green marble out of the bag without looking is 1/3.

Given that, a bag contains 1 blue, 2 green, and 3 red marbles.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes

Total number of outcomes =1+2+3 =6

Number of favorable outcomes = 2

Now, probability of drawing green marble

= 2/6

= 1/3

Therefore, the probability of drawing a green marble out of the bag without looking is 1/3.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ6

Answer:

3x√5 + 6√10x + 5√3x + 10√6

Step-by-step explanation:

(√3x + √5)(√15x + 2√30)

The above expression can be evaluated as follow:

(√3x + √5)(√15x + 2√30)

Expand

√3x (√15x + 2√30) + √5(√15x + 2√30)

x√45 + 2√90x + √75x + 2√150

Express in the best possible surd form.

x•3√5 + 2•3√10x + 5√3x + 2•5√6

3x√5 + 6√10x + 5√3x + 10√6

We can not simplify further.

Therefore,

(√3x + √5)(√15x + 2√30) =

3x√5 + 6√10x + 5√3x + 10√6

Answer as a fraction = 1/18

Answer in decimal form (approximate) = 0.0556

Answer in percent form (approximate) = 5.56%

========================================================

Explanation:

We have 6*6 = 36 ways to roll out two dice. I recommend making a chart to show all the possible outcomes. You can search online for a "dice chart" or "sum of dice chart" and one will be made for you. The chart is a handy reference to see all the outcomes.

Of those 36 total outcomes, only 2 outcomes have the dice add to 3. Those two outcomes are 1+2 and 2+1.

So the number of events we want is 2 out of 36 total, meaning 2/36 = 1/18 is the probability.

Using your calculator, you should find that 1/18 = 0.0556 approximately, which converts over to 5.56% roughly.

The probability the sum of the two numbers on the die will be 3 is 5.56% roughly.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

Two 6-sided dice are rolled. We need to find the probability the sum of the two numbers on the die will be 3.

We have 6 x 6 = 36 ways to roll out two dice.

Out of those 36 total outcomes, only 2 outcomes have the dice add to 3.

Those two outcomes are 1+2 and 2+1.

Thus, the number of events we want is 2 out of 36 total,

2/36 = 1/18 is the probability.

1/18 = 0.0556 approximately, which converts over to 5.56% roughly.

Therefore,  the probability the sum of the two numbers on the die will be 3 is 5.56% roughly.

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ2

Answer:

Step-by-step explanation:

The sides of the base are each 5 inches. We see 4 right angles so that we are dealing with a square.

The triangles look to be isosceles. In any event there are 4 of them. So the answer is the 3rd one down.

Answer:

C

Step-by-step explanation:

Answer:

360 different permutations.

Step-by-step explanation:

It goes 6*5*4*3 because as you pick the pens the amount of pens in the jar would obviously decrease. Picking one leaves you with 5 new options. If you repeat that 4 times then you are left with 360 options.

The number of permutations of picking 4 pens from the box is 6P4, or 6!/(6-4)! = 654×3 = 360.

We have 6 pens and we are picking 4 of them. The order in which we pick the pens matters, so we are dealing with permutations.

The number of permutations of n objects is given by n!, or n factorial. So, the number of permutations of 6 objects is 6!.

However, we need to divide by the number of permutations of the 2 pens that we are not picking. There are 2 pens that we are not picking, so the number of permutations of those pens is 2!.

Therefore, the number of permutations of picking 4 pens from the box is 6!/(6-4)! = 654×3 = 360.

Learn more about permutations here: brainly.com/question/3867157

#SPJ2

Answer:

The breadth of the room is 6 metres

Answer:

Step-by-step explanation:

Side of a tile= a  = 0.75 m

Area of one square tile = a²  = (0.75)² = 0.5625 m²

Area of 96 square tiles = 0.5625 * 96

Area of the room =  area of 96 square tiles

length * breadth = 0.5625 * 96

9 * breadth = 0.5625 * 96

     breadth = [tex]\frac{0.5625*96}{9}\\\\[/tex]

      breadth = 6 m

Answer:

Step-by-step explanation:

34+23F=175

23F=175-34=141

F=141/23≈6.13

so he buys more 7 bags

Using proportions, it is found that Sergei needs to buy 7 bags.

-----------

1 bag - 23 kilograms

x bags - 141 kilograms

Applying cross multiplication:

[tex]23x = 141[/tex]

[tex]x = \frac{141}{23}[/tex]

[tex]x = 6.1[/tex]

Rounding up, he needs to buy 7 bags.

A similar problem is given at https://brainly.com/question/23536327

Answer:

Step-by-step explanation:

Hypotenuse always have the highest number than base and perpendicular.

Hypotenuse ( h ) = 15

Base ( b ) = 9

Perpendicular ( p ) = 12

Let's see whether the given triangle is a right triangle or not

Using Pythagoras theorem:

[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]

Plugging the values,

[tex] {15}^{2} = {12}^{2} + {9}^{2} [/tex]

Evaluate the power

[tex]225 = 144 + 81[/tex]

Calculate the sum

[tex]225 = 225[/tex]

Hypotenuse is equal to the sum of perpendicular and base.

So , we can say that the given lengths of the triangle makes a right triangle.

Hope this helps..

Best regards!!

Answer:

[tex]\boxed{Yes.}[/tex]

Step-by-step explanation:

To solve this equation, we can use the Pythagorean Theorem: [tex]a^2 + b^2 = c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are regular side lengths and [tex]c[/tex] is the hypotenuse.

Now, just substitute the side lengths into the formula and solve!

[tex]9^2 + 12^2 = 15^2[/tex]    Simplify the equation by taking each value to its power.

[tex]81 + 144 = 225[/tex]    Simplify by adding like terms.

[tex]225 = 255[/tex]

Therefore, this is indeed a right triangle.

Answer:

$39.15

Step-by-step explanation:

We can find that Steve started with $39.15, by adding the price he has now and the price he paid for the pizza.

35.86+3.29=$39.15

Answer:

$39.15

Step-by-step explanation:

$35.86 + $3.29 = $39.15

hOpEfUlLy ThIs HeLpEd!! :33

Answer:

see explanation

Step-by-step explanation:

Calculate the perimeters by summing the measures of the sides.

Left figure ( starting with base and summing clockwise )

x + 5 + (x - 6) + (y - 5) + 6 + y ( brackets are the measure of the indents )

= x + 5 + x - 6 + y - 5 + 6 + y

= 2x + 2y

Right figure ( starting with base and summing clockwise )

x + 2 + (x - 3) + (y - 2) + 3 + y

= x + 2 + x - 3 + y - 2 + 3 + y

= 2x + 2y

Both figures have perimeters of 2x + 2y cm

Answer:

Average consumption ( mean )  =  9

MOE = 4

Step-by-step explanation:

We know that

CI   ( 5  ;  13 )

and   CI [ μ - MOE  ;  μ + MOE ]

From the above relations we get

μ - MOE = 5

μ + MOE = 13

Adding member to member these two equations we get

2*μ  =  18

μ = 9    and MOE = 13 - 9

MOE = 4

Answer:c.31

Step-by-step explanation:

The value of function f (1) is,

⇒ f (1) = 31

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

We have to given that;

A sequence is defined by the formula,

⇒ f (n+1) = f(n) - 3

Now, We can find the value of f (1) as;

Here, f (4) = 22

Put n = 3;

⇒ f (n+1) = f(n) - 3

⇒ f (3+1) = f(3) - 3

⇒ f (4) = f (3) - 3

⇒ 22 = f (3) - 3

⇒ 22 + 3 = f(3)

⇒ f(3) = 25

Put n = 2;

⇒ f (2+1) = f(2) - 3

⇒ f (2+1) = f(2) - 3

⇒ f (3) = f (2) - 3

⇒ 25 = f (2) - 3

⇒ 25 + 3 = f(2)

⇒ f(2) = 28

Put n = 1;

⇒ f (n+1) = f(n) - 3

⇒ f (1+1) = f(1) - 3

⇒ f (2) = f (1) - 3

⇒ 28 = f (1) - 3

⇒ 28 + 3 = f(1)

⇒ f(1) = 31

Thus, The value of function f (1) is,

⇒ f (1) = 31

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

Answer:

I believe the unit price would be 2.39 per unit

Step-by-step explanation:

Answer:

[tex]24200 mm^{2}[/tex]

Step-by-step explanation:

200*50+200*50+70*60

=24200 mm^{2}

Constant of variation = number of chairs/ spacing.

80/16 = 5

The answer is B.5

Answer:

518 / 3.

Step-by-step explanation:

(74 / 3) * 7 = (74 * 7) / 3 = 518 / 3 = 172 and 2/3 = 172.6666666667.

Hope this helps!

Answer:

Option (4)

Step-by-step explanation:

If the given exponential function is in the form of f(x) = [tex]a(b)^x[/tex]

From the graph we find that two points (0, 3) and (0.5, 6) lie on the graph.

For (0, 3),

f(0) = [tex]a(b)^0[/tex]

3 = a

For (0.5, 6),

f(0.5) = [tex]3(b)^{0.5}[/tex]

6 = [tex]3\sqrt{b}[/tex]

[tex]\sqrt{b}=2[/tex]

b = 4

Therefore, value of b in the given function 'f' is 4.

Option (4) will be the answer.

Answer:

(D) 4

Step-by-step explanation:

♥☺

The discount is 15%, multiply the price y 15%:

5000 x 0.15 = 750

The discount is 750