Write the complex number when a=2 and b=3

Answer:

x/y = 5/9

Step-by-step explanation:

sum = count * mean

for the group of x students:

sum = x * 76

let's say this sum is a

a = 76x

for the group of y students:

sum = y * 90

let's say this sum is b

b = 90y

total sum = total count * total mean

total sum = total sum from both groups = a + b

total count = total count from both groups = x + y

a + b = (x+y) * 85

expand

a + b = 85x + 85y

a = 76x

b = 90y

replace a with 76x and b with 90y in the first equation. this limits the equation to x and y, which we want because we want to find x/y

76x + 90y = 85x + 85y

subtract 76x and 85y from both sides to limit the amount of numbers

5y = 9x

divide both sides by 9 to isolate the x

(5/9)y = x

divide both sides by y to get x/y

x/y = 5/9

Answer:

  g(x) = 10(x +1)² +5

Step-by-step explanation:

When a point is translated 3 units down, its y-value is 3 less than it was. The graph of f(x) is translated 3 units down by subtracting 3 from the value of f(x).

  g(x) = f(x) -3 . . . . . translates f(x) 3 units down

__

For f(x) = 10(x +1)² +8, we want ...

  g(x) = f(x) -3 = (10(x +1)² +8) -3

  g(x) = 10(x +1)² +5

Translation of 3units down means change in y axis

y is decreased by 3

Hence new equation

Answer: 300 ft

Step-by-step explanation:

100*3 = 300

[tex]sin(2\theta)=2sin(\theta)cos(\theta) \\\\[-0.35em] ~\dotfill\\\\ sin(x)cos(x)=\cfrac{\sqrt{3}}{4}\implies \stackrel{\textit{multiplying both sides by 2}}{2sin(x)cos(x)=2\left( \cfrac{\sqrt{3}}{4} \right)}\implies sin(2x)=\cfrac{\sqrt{3}}{2}[/tex]

1st-causation i think bc its a cause for thim not to go outside

2nd-likely cause       i put likely cause bc it says its low temp. and he said low tempetures cause his to stay inside.

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20.70\% of 5029196}}{\left( \cfrac{20.70}{100} \right)5029196}\implies 1041043.572[/tex]

Answer:

Six units to the right and 3 units up.

Step-by-step explanation:

Answer:

Six units to the right and 3 units up

Answer:

A)  2x3 + 11x2 + 8x - 16.

Step-by-step explanation:

s(x).t(x) = (x + 4)( 2x2 + 3x - 4)

= x(2x2 + 3x - 4) + 4( 2x2 + 3x - 4)

= 2x3 + 3x2 - 4x + 8x2 + 12x - 16

= 2x3 + 11x2 + 8x - 16

Answer:

A square root is a factor of a number that, when multiplied by itself, gives the original number. An example is √9 = 3

Hope this helped! I would appreciate a Brainliest!

Answer:

The square root is the answer to an equation with two number multiplied by itself. Say for example, b/a = a, a is the square root of b. Let's say b = 144 and a = 12, 12 would be the square root of 144.

Step-by-step explanation:

Example 1:

144/12 = 12

12 is the square root of 144

Example 2:

64/8 = 8

8 is the square root of 64

Example 3:

81/9 = 9

9 is the square root of 81

First Case

[tex]|7x+42|=14x\\\\7x+42=14x\\\\42=7x\\\\6=x[/tex]

Second case

[tex]-|7x+42|=14x\\\\-7x-42=14x\\\\-42=21x\\\\-2=x[/tex]

Verify into first case

[tex]|7(6)+42|=14(6)\\\\|84|=84\\\\84=84\\\\LS=RS[/tex]

[tex]|7(-2)+42|=14(-2)\\\\28\neq -28\\\\LS\neq RS[/tex]

The solution is 6 and the extraneous solution is -2, which makes the answer C.

Answer:

-17 + -15 = -32

Step-by-step explanation:

-15 is two less than -17

-17 can be m and -15 can be n and vice versa.

*REMEMBER WHEN ADDING NEGATIVE NUMBERS, ADD THEM BUT MAKE SURE THE OUTCOME IS NEGATIVE*

Answer:

x = 7/3

Step-by-step explanation:

Given equation:

To determine the value of "x", we need to isolate the x-variable and it's coefficient on one side of the equation. This can be done by subtracting 49 to both sides of the equation.

We can see that the negative sign in on both sides of the equation. Remove it by dividing -1 to both sides of the equation.

Clearly, we can see that 9x² and 49 are perfect squares. Therefore,

Take square root both sides of the equation:

To determine the value of "x", we need to isolate it "completely". This can be done by dividing 3 to both sides of the equation

Therefore, the value of "x" must be 7/3.

Answer:

x = 7∕3, –7∕3

Step-by-step explanation:

To find the solutions of the quadratic equation -9x^2 + 49 = 0, we can solve for x by isolating x^2 first:

-9x^2 + 49 = 0

-9x^2 = -49

Dividing both sides by -9, we get:

x^2 = 49/9

Taking the square root of both sides, we get:

x = ± 7/3

Therefore, the solutions of the quadratic equation -9x^2 + 49 = 0 are x = 7/3 and x = -7/3.

Probability helps us to know the chances of an event occurring. The probability that a randomly selected student is a junior is 0.35.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The probability that a randomly selected student is a junior will be,

P(Junior) = [(Number of Juniors)\(Number of total students)]

P(Junior) = 35/100 = 0.35

Hence, The probability that a randomly selected student is a junior is 0.35.

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By using '' ASA congruency theorem'' these triangles are congruent.

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

Given that;

The triangles are shown in figure.

Now, We have to given in both triangles,

Two angles are equal to each other.

And, One side of both triangles are common.

Hence, By using ''ASA congruency theorem'' these triangles are congruent.

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The quadratic function has two real solutions. The solutions to the function are x= -2 and x= 0

From the question, we are to determine the number of real solutions the quadratic function has.

NOTE:

From the given diagram, the graph of the quadratic function crosses the x-axis at two distinct points.

∴ The quadratic function has two real solutions

The solutions of a quadratic function are the points where the graph intersects with the x-axis.

In the given graph, the solutions to the function are x = -2 and x = 0

Hence, the quadratic function has two real solutions. The solutions to the function are x= -2 and x= 0.

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Answer: No

Step-by-step explanation:

     If we rotate them so they are both facing the same direction, the congruency between sides and angles do not make the two triangles congruent as a whole.

    See attached for the pictures I drew of the triangles rotated. They are not to scale, but I kept the markings on.

Answer:

ΔABC is a right triangle

length of the concession stand = 42.4 ft (nearest tenth)

Step-by-step explanation:

Given:

We can use Pythagoras' Theorem to prove if ΔABC is a right triangle.

Pythagoras' Theorem: a² + b² = c²  (where a and b are the legs, and c is the hypotenuse of a right triangle)

Given:

⇒ a² + b² = c²

⇒ 30² + 40² = 50²

⇒ 900 + 1600 = 2500

⇒ 2500 = 2500

Therefore, ΔABC is a right triangle

To find the diagonal of square A, use Pythagoras' Theorem:

Given:

⇒ a² + b² = c²

⇒ 30² + 30² = c²

⇒ 900 + 900 = c²

⇒ c² = 1800

⇒ c = √(1800)

⇒ c = 42.42640687

Therefore, the length of the concession stand (diagonal of square A) is 42.4 ft (nearest tenth)

Answer:

Distributive Property

Step-by-step explanation:

It looks like you are multiplying the 6 to both the 3 and 8.

Traci will be 360 miles in 12 hours if the linear equation y = 30x describes how far from home Traci is as she drives from Dallas to Anchorage and the equation of the graph is linear.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a linear equation:

y = 30x

Here, x represent the number of hours and y represent the number of miles.

When x = 12 hours then

y = 30(12) = 360 miles

If draw the graph the equation y = 30x, it will be a linear equation.

(refer attached picture)

Thus, Traci will be 360 miles in 12 hours if the linear equation y = 30x describes how far from home Traci is as she drives from Dallas to Anchorage and the equation of the graph is linear.

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Answer: {(MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)}

Step-by-step explanation:

For salad:

Choices for extra toppings (mushrooms, olives) =2

Choices for meats (bacon, eggs) =2

Choices for dressings (vinaigrette, honey mustard.)= 2

By Fundamental counting principal .

The number of different salads can be made= (Choices for extra toppings) x (Choices for meats ) x (Choices for dressings)

= 2 x 2 x 2 = 8

All the possible outcomes = (MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)

Required Sample space would be : {(MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)}

Answer: 7/7

Step-by-step explanation:

         7/7 simplifies to 1/1 which is equal to one. One is the same as one whole, so this is the answer to our question.

         7/1 is also wholes but it is seven wholes, not one.

[tex]\displaystyle \frac{7}{7} =\frac{1}{1}=1[/tex]

Answer:

7/7

Step-by-step explanation:

If the numerator matches the denominator, then it is one whole.

The common difference on the sequence is -3 and the number of books will be 21.

The formula that can be used to calculate the number of books will be:

= a + (n - 1)d

= 57 + (13 - 1)-

= 57 + (12 × -3)

= 57 - 36

= 21

Also, from the information given, each row has three fewer books than the row below it. Therefore, the common difference is -3.

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Answer:

181.46 = A

Step-by-step explanation:

pi X r^2 is the area of a circle

the diameter is already given so you can skip the radius an jump straight into pi X d diameter = (r^2) giving you area pi X diameter

[tex]\Large\textsf{\textbf{Answer\::}}[/tex]

view explanation please !

[tex]\Large{\textsf{\textbf{Calculations\::}}[/tex]

What are we asked to do ?

We are asked to isolate w (get w by itself) .

To do that , divide by lh on both sides :

[tex]\displaystyle\frac{V}{lh} = w[/tex]

So the right formula  is :

[tex]\bigcirc\!\!\!\!\!\!\bigstar[/tex] [tex]\displaystyle\frac{V}{lh} =w[/tex]

[tex]\footnotesize\text{hope\:helpful~}[/tex]

Answer:

w = v/lh

Step-by-step explanation:

v = lwh

Divide both sides by lh

w = v/lh

Answer:

The given quadratic has two solutions.

Step-by-step explanation:

The discriminant of a quadratic equation is [(b^2) - (4 * a * c)]

We're given the quadratic x^2 - 8x - 84 = 0

We can find a, b, and c by analyzing the quadratic.

So,

a = 1 because x^2 has no coeffiecient

b = -8 ( coefficient of 8 * the - )

c = -84 the raw y-intercept value of this function

Now we can plug these numbers into the discriminant expression:

(-8)^2 - ( 4 * 1 * -84 ) =

64 - ( - 336 ) =

64 + 336 =

400

Now that we know the value of the discriminant, we have to anazlyze it.

If the discriminant of a quadratic is positive, the quadratic has 2 solutions.

If the discriminant is negative, the quadratic has no solutions.

If the discriminant is equal to zero, the quadratic only has 1 solution.

In conclusion, because the discriminant = 400, and 400 > 0, the given quadratic equation has two solutions.

Using the Fundamental Counting Theorem, it is found that Kami could create 40,000 codes that start with an even number.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

Hence:

[tex]N = 4 \times 10^4 = 40000[/tex]

Kami could create 40,000 codes that start with an even number.

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Answer:

The answer would be D.

Step-by-step explanation:

Hope this Helps! Have a good day!

Answer:

D is the answer

Step-by-step explanation:

 is the answer to the question.  

To understand these questions, first look at the way the answers are written out.

Alia questions three students from her class, that might be an answer, but she didn't randomly pick them.

Miles randomly surveys a group of customers at a coffee shop, that might be one, but he might have surveyed a 25 year old instead of a 24 year old, so thats not one.  

Carson interviews students working part-time to gather data, he didn't select random students, he interviewed all of them, so that is not a valid option.

 Lea speaks with the managers at half of the town's 10 supermarkets, which stock similar items, to find out which breakfast cereal is most popular among the town's residents, that one is not stating that she interviewed, but she interviewed half of the 10, which is five, which can be selected randomly.  

So the correct answer is D.