Question 1 of 10 If f(x) = 5x and g(x) = x+1, find (f.g)(x).

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Answer:

1 and -1 are two rational numbers whose multiplicative inverse is same as they are.

Step-by-step explanation:

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Answer:

x = 2.1

Step-by-step explanation:

We have:

[tex]\frac{x}{sin90}[/tex] = [tex]\frac{1.3}{sin38}[/tex]

=> sin38 × x = sin90 × 1.3

=> x = 1.3 ÷ sin38

=> x = 2.11155001... = 2.1

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The value of x for the given triangle will be, x = 2.1.

Trigonometry is a branch of mathematics that deals with the study of the relationships between the sides and angles of triangles. It is used to solve problems involving angles and distances and is applied in a wide range of fields such as engineering, physics, architecture, and navigation, among others.

The value of x will be calculated as,

x / sin(90) = 1.3/ sin(38)

sin38 × x = sin90 × 1.3

x = 1.3 ÷ sin38

x = 2.11155001...

x = 2.1

The value of x will bed x =2.1.

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Answer:

Linear functions are

f(x) = 0.45 x - 1

f(x) = 5

f(x) = 4.5 x + 18

Quadratic function is

R(x) = 19x^2

Step-by-step explanation:

The linear function is a function in which the degree of function is 1.

So,

f(x) = 0.45 x - 1

f(x) = 5

f(x) = 4.5 x + 18 are the linear functions.

The quadratic function is a function in which the degree of function is 2.

So,

R(x) = 19 x^2 is a quadratic function.

The exponential function is a function which involves the exponents.

Answer:

pic

Step-by-step explanation:

Answer:

600g of Flour

Step-by-step explanation:

According to the question every 15 biscuits is 50g it need 50g of sugar and flour is 3 times the amount it needs for 15 biscuits so 50*3=150 now we know 15 biscuits need 150g of flour so 30 requires 300 and 300g +300g is equal to 600g of flour.

Answer:

600 g of flour.

Step-by-step explanation:

If Deon needs 50 g of sugar to make 15 biscuits, and she is going to make 60 biscuits, then she will need 200 g of sugar, since 60/15 is 4.

If the amount of flour she needs is equal to the amount of sugar multiplied by three, or 3x, if x is the amount of sugar, then she will need 200 x 3 g of flour.

Therefore, she will need 600 g of flour.

Answer:

Yeah, so that is right, just put it into a formula.

[tex]9.07*10x^{-2}[/tex]

Answer:

-16

Step-by-step explanation:

-8 + (-8) = -16

Answer:

-16

Step-by-step explanation:

8x−7y=−8

Subtract 8 from each side

-8 +8x−7y=−8-8

-8+8x−7y=−16

Answer:

both lines have the same slope, hence they are parallel to each other

Step-by-step explanation:

The equation of a straight line is given by:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Two lines are said to be parallel to each other if they have the same slope, whereas two lines are perpendicular to each other if the product of their slopes is -1.

Given a line with an equation:

y = (2/3)x - 17

From the equation of the line with can see that the slope of the line is 2/3 and the y intercept is -17.

Also the other line has an equation of 4x - 6y = -6

6y = 4x + 6

y = (2/3)x + 1

Hence this line has a slope of 2/3 and a slope of 1.

Since both lines have the same slope, hence they are parallel to each other

Answer:

12y² + 9y + 7

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

4y² + 5y + 2 + 8y² + 4y + 5

Step 2: Simplify

Answer:

12y² + 9y + 7

Step-by-step explanation:

4y² + 5y + 2 + 8y² + 4y + 5

Simplify :-

4y² + 5y + 2 + 8y² + 4y + 5

4y² + 8y² + 5y + 4y + 2 + 5

12y² + 9y + 7

Answer:

Step-by-step explanation:

you can divide 11/30 and get 0.37

0.37%/ 100*11 =

Multiply:

0.37*11 =

add the 100 to the product you multiplied and divide them together:

4.07/100=

your quotient:

0.0407

round by 2 decimals:

0.04

your final answer is :

0.04

Answer:

52°

Step-by-step explanation:

The angle 38° and m∠1 equal 90°, so 90-38=52.

Answer:

thats is an obtuse so if 2 is 38 then 1 should be 120 but u add those together u get 158 so it shold be 120 but if not then try looking explamles up

Step-by-step explanation:

Answer:

P = 128 Post

Step-by-step explanation:

Total post needed = 216 posts

Number of post Jerry has = 88 posts

Number of posts jerry still needs = P

Total = Number of post Jerry has + Number of posts jerry still needs

216 = 88 + P

216 - 88 = P

128 = P

P = 128 Post

Answer:

[tex]x=8,\\y\approx 6.9[/tex]

Step-by-step explanation:

The side lengths of all 30-60-90 triangles are in ratio [tex]x:x\sqrt{3}:2x}[/tex], where [tex]2x[/tex] is the hypotenuse of the triangle and [tex]x[/tex] is the side opposite to the 30 degree angle.

In the given diagram, the side labelled 4 is opposite to the 30 degree angle. Since [tex]x[/tex] is labelled as the hypotenuse of the triangle, [tex]x[/tex] must be [tex]4\cdot 2=\boxed{8}[/tex].

Variable [tex]y[/tex] must then represent [tex]x\sqrt{3}[/tex] for [tex]x=4[/tex], yielding [tex]y=4\sqrt{3}\approx \boxed{6.9}[/tex]

Answer:

The points lie INSIDE THE CIRCLE

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Given equation of the Circle is ,

[tex]\sf\implies x^2 + y^2 = 25 [/tex]

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

Answer:

Step-by-step explanation:

1) nth therm = dn + (a - d)

-10n + (11+10)

-10n + 21

t11 = -110 + 21 = -89

2) nth therm = 3n + (-66 - 3)

3n - 69

t16 = 48 - 69 = -21

Answer:

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

Answer:

they exceeded their goal by 668 cans.

Step-by-step explanation:

multiplying 524 by 7 you get 3668, then subtracting 3,000 from that you get 668.

Answer:

Fourth term of given arithmetic progression a(4) = 30

Step-by-step explanation:

Given incomplete information:

a(n) = 7n - 1 9

Assume Correct information:

a(n) = 7(n - 1) + 9

Find:

Fourth term of given arithmetic progression

Computation:

Fourth term of given arithmetic progression = a(4)

So,

Number of term (n) = 4

So,

a(n) = 7(n - 1) + 9

a(4) = 7(4 - 1) + 9

a(4) = 7(3) + 9

a(4) = 21 + 9

a(4) = 30

Fourth term of given arithmetic progression a(4) = 30

Answer:

Focus.

Step-by-step explanation:

.

Answer:

The correct answer is D. Focus.

Step-by-step explanation:

Answer:

143

Step-by-step explanation:

A = [tex]\frac{Base1 + Base2}{2}[/tex] x h

A = [tex]\frac{8 + 18}{2}[/tex] x 11

A = [tex]\frac{26}{2}[/tex] x 11

A = 13 x 11

A = 143

Answer:

none of the multiple choice are right, it's 143

Step-by-step explanation:

use trapezoid formula

a+b

------- h

2

26

----- h

2

13×11= 143

Answer:

3/2 liters/minute

Step-by-step explanation:

Divide 11/15 liters by 22/45 minutes:

 11

------

 15

-----------

 22

-----

 45

This is equivalent to:

11      45

----- * -----  =  3/2 (liters/min)

15      22

The flow rate of the pipe is 3/2 (or 1.5) litres per minute.

To calculate the flow rate of the pipe, we divide the volume of water (in litres) by the time taken (in minutes).

Given:

Volume of water = 11/15 liters

Time taken = 22/45 minutes

Flow rate = Volume / Time

Flow rate = (11/15) liters / (22/45) minutes

To divide by a fraction, we multiply by its reciprocal:

Flow rate = (11/15) x (45/22) liters/minutes

Simplifying the expression:

Flow rate = 495/330 litres/minutes

The fraction can be simplified further by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 165 in this case:

Flow rate = (495/165) / (330/165) litres/minutes

Flow rate = 3/2 liters/minutes

Therefore, the flow rate of the pipe is 3/2 (or 1.5) litres per minute.

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Answer:

B

Step-by-step explanation:

p(-3)=1/4(-3)²+1=9/4+1=13/4=3.25

p(5)=1/4(5)+2.5

=5/4+2.5

=1.25+2.5

=3.75

Answer:

using the pythagoras theorem

Step-by-step explanation:

[tex] \sqrt{4 {}^{2} - ( \sqrt{7}) {}^{2} } = 3[/tex]

Answer:

It is even because it is equal to 2(2n-3) so you can divide it by two and get (2n-3)

Step-by-step explanation:

[tex] {n}^{2} - 2 - ( {n}^{2} + 4 - 4n) = \\ {n}^{2} - 2 - {n}^{2} - 4 + 4n = \\ 4n - 6 = 2(2n - 3)[/tex]

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

The given options are not properly formatted; so, I will give a general explanation instead

An equation is said to be radical if its variable is in a radicand sign.

For instance, the following equation is a radical;

[tex]\sqrt x + 2 = 4[/tex]

In the above equation, x is the variable, and it is in [tex]\sqrt[/tex] sign

However, the following equation is not a radical equation

[tex]x + \sqrt 4 = 2[/tex]

Because the variable is not in a radicand

Answer: [tex]y=\sqrt{x+12}[/tex]

Step-by-step explanation:

I hope you mean y = x² - 12 and not y = 2x - 12.

You switch the y and x variables:

x = y² - 12

And solve for y:

x + 12 = y²

[tex]y=\sqrt{x+12}[/tex]

Answer:

C. 40

Step-by-step explanation:

The smallest factor of 119 (other than 1) is 7.

28/7 = 4,

35/7 = 5,

40/7 = 5 5/7

63/7 = 9

So it is 40

What is the value of tan in the unit circle below?

The value of tan in the unit circle below is

[tex] \frac{ \sqrt{3} }{2} [/tex]

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