The product of an irrational number and an irrational number is irrational?

Always true

Sometimes true

Never true

Solution :-

This triangle is a right angled triangle as we can see ∠POC, has a right angled sign. Now, we will assume the missing angle to be x, thus,

25° + 90° + x = 180° ( Angle sum property of a triangle )

115° + x = 180°

x = 180° - 115°

x = 65°

Thus, the measure of missing angle is 65°.

Hope that helps. :D

Answer:

f(x) = 2x3 + 4

Stretch vertically be a factor of 2:

f(x) = 2*2x3 + 4 = 4x3 + 4

Shift 5 units to the left:

f(x) = 4(x+5)3 + 4

Answer:

2x + 1 = x + 5

x = 5-1

x = 4

Step-by-step explanation:

The value of the derivative at the maximum or minimum for a continuous function must be zero.

So, remember that the derivative at a given value gives the slope of a tangent line to the curve at that point.

Now, also remember that maximums or minimums are points where the behavior of the curve changes (it stops going up and starts going down or things like that).

If you draw the tangent line to these points, you will see that you end with horizontal lines. And the slope of a horizontal line is zero.

So we conclude that the value of the derivative at the maximum or minimum for a continuous function must be zero.

If you want to learn more about maximums and minimums, you can read:

https://brainly.com/question/24701109

Using linear function concepts, it is found that the true statements are as follows:

A linear function is modeled by:

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

In which:

In this problem, for psychology, the model for the number of graduated students in t years after 2000 is:

P(t) = 2,376t + 73,219.

For biology, it is given by:

B(t) = 2,414t + 56, 545

Hence, the correct statements are:

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

Answer:

6/5

Step-by-step explanation:

Calculate the volume by multiplying the measured length and width of the space together, then multiply the result by the height of the room. From the example, 10 * 25 feet = 250 square feet, and 5 * 10 feet = 50 square feet.

Answer:

5,-17

6,-21

Step-by-step explanation:

When the input goes up by 1 the output goes up by negative 4 each time

Answer: 30 units^2

Step-by-step explanation:

[tex]\mathrm{From \ the \ figure \ we \ know \ this \ is \ a \ right \ triangle. \ The \ area \ of \ the \ triangle}:[/tex]

[tex]A = \frac{1}{2}bh \\= \frac{1}{2} \times 6 \times 10\\= 30 \ units^2[/tex]

(Formula for area of right triangle: Half of the product of two right edges)

Therefore, the area of the triangle is 30 units^2

Answer:

Step-by-step explanation:

So because all straight lines are 180 degrees

180-32 = 148

Answer 148 degrees

I hope that helps!

Answer:

148

Step-by-step explanation:

If you add the measures of Angle BPC and Angle DPB, they will equal 180. This is because they are the two angles that make up an even bigger angle, a straight angle (Angle CPD), that equals 180 degrees. Let's solve for x now.

x + 32 = 180

x + 32 (- 32) = 180 (- 32)

x = 148

Therefore, x is equal to 148. I hope this helps! Have a lovely day!! :)

Answer:

x=2

y=2

Step-by-step explanation:

x+3y=8

- x-4y=-6

7y=14

y=14/7

y=2

x+3(2)=8

x+6=8

x=8-6

x=2

y=2

x=2

Answer:

adjacent

Step-by-step explanation:

share the same side

Answer:

adjacent

Step-by-step explanation:

Step-by-step explanation:

f(x) = x√(x+8)

When f(x) = 0,

0 = x√(x+8)

x = 0, x + 8 = 0

x = -8

f'(x) = (1)√(x+8) + x • ½(x+8)^(-½) = 0

0 = √(x+8) + 1/[2√(x+8)] (x)

-2(x+8) = x

-2x - 16 = x

x = -16/3

(-8 < -16/3 < 0)

Therefore, x-intercept of f'(x) = 0 is somewhere between the two x-intercepts, ranging from -8 to 0.

Mr. Bartley expression of the ticket cost function is an illustration of equations

The true statement is (a) Tickets cost $52 each, and there are 25 students and 2 teachers going n trip

The equation of the total cost is given as:

Total Cost = 52 * (25 + 2)

The above can be rewritten generally as:

Total Cost = Cost per each * (Student + Teachers)

By comparison, we have:

Cost per each = $52

Students = 25

Teachers = 2

Hence, the true statement is (a) Tickets cost $52 each, and there are 25 students and 2 teachers going n trip

Read more about cost functions at:

https://brainly.com/question/19104371

Answer:

Step-by-step explanation:

Answer: Your solution is 34206

Hope this helps you!!!!

Answer:

Hope the picture will help you

Answer:

12

Step-by-step explanation:

x-4=2(x+8)/5

let's do my favorite strategy: distributive property!

x-4=(2x+16)/5

Now we can simplify.

x-4=(2/5)x+16/5

Let's solve for x!

Subtract 2/5 from both sides

3/5)x=36/5

Now multiply both sides by 5/3, the reciprocal.

You would get 12 as x!

[tex]\boxed{\bold{x = 2, 3}}[/tex]

Stepwise Solving:

[tex]\rightarrow \sf x^2-5x + 6 = 0[/tex]

[tex]\sf use \ the \ formula : x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ ax^2 + bx + c = 0[/tex]

Identify the coefficients:

Solve for x:

[tex]\dashrightarrow \ \sf x=\dfrac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4 \ x \ 1 \ x \ 6}}{2 \ x \ 1}[/tex]

[tex]\dashrightarrow \ \sf x=\dfrac{\left5\right\pm \sqrt{\left25-24}}{2}[/tex]

[tex]\dashrightarrow \ \sf x=\dfrac{\left5\right\pm \sqrt{1}}{2}[/tex]

[tex]\dashrightarrow \ \sf x=\dfrac{\left5\right\pm1}{2}[/tex]

[tex]\dashrightarrow \ \sf x=\dfrac{\left5\right+ 1}{2} \ , \dfrac{\left5\right- 1}{2}[/tex]

[tex]\dashrightarrow \ \sf x=\dfrac{6}{2} \ , \ \dfrac{4}{2}[/tex]

[tex]\dashrightarrow \ \sf x= 3, \ 2[/tex]

x+x + y * y = 2x + y²

Answer:

[tex]2x + y^{2}[/tex]

Step-by-step explanation:

[tex]\text{If a number is being added to itself, it is basically a number being multiplied by 2. }[/tex]

[tex]\rightarrow x + x[/tex]

[tex]\rightarrow \boxed{\bold{2x}}[/tex]

[tex]\text{If a number is being multiplied by itself, it is basically the number squared.}[/tex]

[tex]\rightarrow y \times y[/tex]

[tex]\rightarrow \boxed{\bold{y^{2}}}[/tex]

Thus, the simplified expression is 2x + y².

Therefore, there are projected to be approximately 1541 computer viruses in the year 2021.

Exponential growth is a pattern of growth where a quantity grows at a constant percentage rate per unit of time. In other words, the rate of growth is proportional to the current value of the quantity. This type of growth is often seen in natural phenomena such as population growth, the spread of diseases, and the growth of financial investments. Exponential growth can be described mathematically by an exponential function of the form y = abˣ, where a is the initial value, b is the growth factor, and x is the time variable.

Here,

To solve this problem, we can use exponential growth formula:

A = P(1 + r)ˣ

where:

A = final amount

P = initial amount

r = growth rate

t = time (in years)

Let's first calculate the number of years from 1995 to 2021:

2021 - 1995 = 26 years

Using the given information, we can plug in the values into the formula:

A = 501(1 + 0.57)²⁶

A = 501(3.08)

A = 1540.68

Rounding to the nearest whole number, we get:

A ≈ 1541

To know more about exponential growth,

https://brainly.com/question/12490064

#SPJ1

C

ЖStep-by-step explanationЖ

⇒ [tex]7x^2\sqrt{2x^4}\bullet\ 6\sqrt{2x^1^2}[/tex]

[tex]=7\sqrt{2}x^4\bullet 6\sqrt{2}x^6[/tex]

[tex]=84x^1^0[/tex]

[tex]So\ choose\ C[/tex]

[tex]\{square\ root\ \}.[/tex]

I hope this helps you

:)

here.

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

3x = x+44(base angle of isosceles triangle are equal)

2x = 44

x = 22

The possible value of the third length is an illustration of Triangle inequality theorem

The possible third lengths are 4 units and 6 units

To determine the third length, we make use of the following Triangle inequality theorem.

a + b > c

Let the third side be x.

So, we have:

x + 6 > 3

x + 3 > 6

3 + 6 > x

Solve the inequalities

x > -3

x > 3

x < 9

Remove the negative inequality value.

So, we have:

x > 3 or x < 9

Rewrite as:

3 < x or x < 9

Combine the inequality

3 < x < 9

This means that the possible value of the third length is between 3 and 9 (exclusive)

Hence, the possible third lengths are 4 units and 6 units

Read more about Triangle inequality theorem at:

https://brainly.com/question/2403556

To identify which data set is represnted by the box plot, find the data set that has the exact five-nunber summary of the box plot given.

If you identify the five-number summary of a data set, you can easily draw a box plot, because the values of each of the five-number summary is exactly what you are going to see on a box plot.

The min, max, lower and upper quartile, and median, which are the five-numnber summary of a data set is displayed as shown in the box plot attached below.

Therefore, to identify which data set is represnted by the box plot, find the data set that has the exact five-nunber summary of the box plot given.

Learn more about box pot on:

https://brainly.com/question/14252896

Step-by-step explanation:

please mark me as brainlest

Answer:

p(5,4)====P'(-4,5)....