Anybody please help me with question 3-5, thank you so much!!! You are a life saver :))))

Answer:

f(g(x)) =

[tex] {x}^{6} + 6 {x}^{4} + 8x^{2} + 2[/tex]

Step-by-step explanation:

put g(x) instead of any x in f(x)

[tex] {(x ^{2} + 2) }^{3} - 4( {x}^{2} + 2) + 2[/tex]

Given:

In the given figure [tex]m\parallel n\parallel p[/tex].

[tex]m\angle 10=2x+70[/tex]

[tex]m\angle 7=5x-20[/tex]

To find:

The [tex]m\angle 3[/tex].

Solution:

If a transversal line intersect two parallel lines, then the alternate exterior angles are equal.

[tex]m\angle 7=m\angle 10[/tex]          (Alternate exterior angle)

[tex]2x+70=5x-20[/tex]

[tex]70+20=5x-2x[/tex]

[tex]90=3x[/tex]

Divide both sides by 3.

[tex]\dfrac{90}{3}=\dfrac{3x}{3}[/tex]

[tex]30=x[/tex]

Now,

[tex]m\angle 3=m\angle 7[/tex]               (Corresponding angles)

[tex]m\angle 3=5x-20[/tex]

[tex]m\angle 3=5(30)-20[/tex]

[tex]m\angle 3=150-20[/tex]

[tex]m\angle 3=130[/tex]

Therefore, the measure of angle 3 is 130 degrees.

Answer:

Step-by-step explanation:

The equation of the growth is:

Since the target number is 76 we get:

Answer: 46 months

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

A = π. r²

36π = π. r²

eliminate π, we get:

36=r²

r=√36

r = 6

Answer:

r = 6

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

Given A = 36π , then

πr² = 36π ( divide both sides by π )

r² = 36 ( take the square root of both sides )

r = [tex]\sqrt{36}[/tex] = 6

Answer:

25.5402665394

Step-by-step explanation:

x=24/cos(20) = 25.54026653942

Answer:

domain=1

range= -2

hope it helps

Answer:

Step-by-step explanation:

Answer:

Rs 968

Step-by-step explanation:

Given :-

To Find :-

Solution :-

We know CI as ,

> CI = P ( 1 + R/100)ⁿ

> CI = Rs 800 ( 1 + 10/100)²

> CI = Rs 800 × 11/10 × 11/10

> CI = Rs 968 .

Answer:

The answer is below

Step-by-step explanation:

a) The patio is in the form of a rectangle. The patio has a width of (x - 10) ft. Therefore given that the area of the patio is x² + 10x - 200, hence:

[tex]Area=length*breadth\\\\x^2+10x-200=length*(x -10)\\\\x^2+20x-10x-200=length*(x -10)\\\\x(x+20)-10(x+20)=length*(x -10)\\\\(x-10)(x+20)=length*(x -10)\\\\length=x +20[/tex]

b) Area of original house = length of house * breadth of house

The length of house = length of patio = x + 20; breadth of house = x + 10; therefore:

Area of original house = (x + 20)(x + 10) = x² + 10x + 20x + 200

Area of original house = x² + 30x + 200

c) If the width is extended, hence:

[tex]Area=length*breadth\\\\x^2+12x-160=(x+20)*width\\\\x^2+20x-8x-160=(x+20)*width\\\\x(x+20)-8(x+20)=(x+20)*width\\\\(x-8)(x+20)=(x+20)*width\\\\width=x-8\\\\Extended \ width=(x-8)-(x-10)\\\\Extended \ width=2\ feet[/tex]

Answer:

5%

Step-by-step explanation:

Both should be in same measurement. so convert 4 kg to gram

1 Kg = 1000 g

4 kg = 4 * 1000 = 4000 g

[tex]\frac{200}{4000}*100=\frac{2}{40}*100\\\\=\frac{1}{20}*100 = 1 * 5\\[/tex]

= 5%

Answer:

[tex]m = \frac{3}{4}[/tex]

Step-by-step explanation:

Given

See attachment

Required

The constant of proportionality

Select two points on the graph

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (4,3)[/tex]

So, the constant of proportionality (k) is:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{3-0}{4-0}[/tex]

[tex]m = \frac{3}{4}[/tex]

Answer:

She will need 41.22 meters.

Step-by-step explanation:

She knows that one leg of the triangle is 11 meters long and that the angle formed by that leg and the hypotenuse is 50 degrees .

The leg is adjacent to the hypothenuse. We know that the cosine of an angle [tex]\theta[/tex] is given by:

[tex]\cos{\theta} = \frac{l}{h}[/tex]

In which l is the length of the adjacent side and h is the hypothenuse.

Considering that we have [tex]\theta = 50, l = 11[/tex], we can find the hypothenuse.

Looking at a calculator, the cosine of 50 degrees is 0.6428.

So

[tex]0.6428 = \frac{11}{h}[/tex]

[tex]0.6428h = 11[/tex]

[tex]h = \frac{11}{0.6428}[/tex]

[tex]h = 17.11[/tex]

The other leg:

In a right triangle, with legs [tex]l_1[/tex] and [tex]l_2[/tex], and hypothenuse h, the pythagorean theorem states that:

[tex]l_1^2 + l_2^2 = h^2[/tex]

We already have one of the legs and the hypothenuse, so:

[tex]11^2 + l^2 = 17.11^2[/tex]

[tex]l^2 = 17.11^2 - 11^2[/tex]

[tex]l = \sqrt{17.11^2 - 11^2}[/tex]

[tex]l = 13.11[/tex]

How many meters will she need?

This is the perimeter of the garden, which is the sum of its dimensions, of 11 meters, 13.11 meters and 17.11 meters. So

[tex]P = 11 + 13.11 + 17.11 = 41.22[/tex]

She will need 41.22 meters.

Answer:

X×Y×Z%/100

Step-by-step explanation:

using formula

si=p×t×r%/100

Answer:

1. 25

2. 44

3. 9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

216 different cakes are possible.

Step-by-step explanation:

Given that a bakery offers 4 different flavors of cake, 3 types of icing, 6 toppings, and 3 different sizes, if one option is chosen from each list, to determine how many different cakes are possible the following calculation must be performed:

4 x 3 x 6 x 3 = X

12 x 18 = X

216 = X

Therefore, 216 different cakes are possible.

22224446668880÷107=207705109054.19

Answer:

[tex]107x = 22224446668880 \\ x = \frac{22224446668880}{107} \\ x = 0.0207705109[/tex]

Answer:  A) -0.5

Explanation:

Each tickmark is an increment of 30. Start at 270 and move 1 tickmark over to get to 270+30 = 300. Then another tickmark to the right gets us to 330.

Then from here, head straight down until you get to the curve. You should arrive at the point (330, -0.5)

So q = 330 pairs up with y = -0.5

Answer:

2miles = $3

6 miles = $5

3 miles

Step-by-step explanation:

By observation of the graph, the lines match up from 2 miles to $3

Answer:

offcourse it will be 2 miles .

Answer:

2. x=4

3. y= -7

4. y = -7

5. w = 0

Step-by-step explanation:

2.

4x-15=1

4x=16

x=4

3.

2y+3= -11

2y=-14

y= -7

4.

2y+7= -7

2y = -14

y = -7

5.

3w+3=3

3w = 0

w = 0

Answer:

B

Step-by-step explanation:

relative maximum

is

the highest point after it comes from infinity

and

the highest point before it goes back to infinity

Answer this is an example 4 you

To do this problem, you need to change the way the fractions are displayed so that you can simplify them.

The first step is to change them to improper fractions: fractions like 4/3 that represent more than 100% (parts adding to more than one whole).

For example, to change the first fraction in this way, multiply the number in front (2) by the bottom number:

2 * 3 = 6

This means the 2 can also represent 6 / 3. Remember that 1 equals 3/3 so 2 equals 6/3. Now add this to the 1/3 you started with, and you end up with 7/3.

Do the same for the other fraction.

Now that you have both fractions written in this way, you can multiply each by the other's denominator to arrive at their LCD (least common denominator). It won't always be least, but you can always simplify further. In this case, the numbers are small enough that it likely won't matter.

You will end up with a fraction of halves: some number x, over 2, meaning x number of halves.

Your other fraction is 7/3. So the common denominator is the bottom numbers multiplied together: 2 * 3 = 6.

To change 7/3 to a fraction of sixths, you multiply the whole thing by two. This gets the bottom number to be six.

7 * 2 = 14

3 * 2 = 6

So this fraction can also be written as 14/6. Once again, do the same to the other fraction (but multiply by 3, to get the other fraction into sixths also, since it is currently halves).

Now you have two fractions that are both in parts of six. A ratio (x:y) is nothing more than a fraction itself. So if you had for example the ratio

2/5 : 10/5

This ratio could also be written as 1/5 : 5/5, or 1/5 to 1. Both numerators (the top number) are divisible by 2, so you can divide them both by 2 and end up with a simplified version of the same ratio.

Whatever ratio you end up with (14/6 : some other fraction), do the same thing to it. See if any of the numbers share a common factor, and simplify where possible. If it's not possible to simplify further, you're done.

Answer:

1.66 £

Step-by-step explanation:

(2 * 3.25 + 1.80) : 5 =

8.3 : 5

1.66 £

Step-by-step explanation:

rs 80000+rs 20000=100000

rs 125000-rs 100000=25000

rs 25000÷rs 125000=0.2

0.2 × 100= 20%

Answer: 20%

Answer:

20%

Step-by-step explanation:

Use arthmetic, comes out as 0.2 = 20%

Answer:

41.34

Step-by-step explanation:

80/1.94

= 41.34

Answer:

hello dude

equation;

7.8x - 100 > 79.86 + 5.8x

and answers are at the photo

HAVE A NİCE DAY

Step-by-step explanation:

greeetings from Turkey ツ

Answer:

1st drop box: (1) 7.5x - 100 > 79.86 + 5.8x

2nd drop box: (4) x > 105.8

3rd drop box: (4) 106

Step-by-step explanation:

1st drop box:

Revenue (the money you receive) must be greater than the costs (money you spend) to make a profit.

2nd drop box:

Use basic algebra to solve for x:

7.5x - 100 > 79.86 + 5.8x

(subtract 5.8x from both sides)

1.7x - 100 > 79.86

(add 100 to both sides)

1.7x > 179.86

(divide both sides by 1.7)

x > 105.8

3rd drop box:

We already know the solution to the inequality is x > 105.8

Notice how all the answer choices are whole numbers and the inequality sign is "greater than" and not "greater than or equal to".

That means it doesn't include 105.8

And it can't be 105 because 105 is NOT greater than 105.8

So the answer is 106

Hope it helps (●'◡'●)

Answer:

3. The number of students that rode on each bus

Step-by-step explanation:

The equation they give us is:

2b + 6 = 70

The question already tells us that in this equation:

2 is the 2 buses that the school hired

6 is the 6 leftover kids who couldn't fit on the 2 buses

The question also tells us that the 2 buses only have a total of 64 seats, so 32 seats on 1 bus (64/2 = 32).

So that means b would equal the 32 seats on 1 bus, or the number of students that rode on each bus.

Hope it helps (●'◡'●)

Step-by-step explanation:

i think minerals and vitamins since they are micro nutrients

Complete question is;

Given a circle with (4. -3) and (2, 1) as the endpoints of the diameter.​ Write the equation of the circle.

Answer:

x² + y² - 6x + 2y + 5 = 0

Step-by-step explanation:

The end points of the diameter are;

(4. -3) and (2, 1).

Thus, the centre coordinates will be the midpoint of the diameter endpoints.

Thus;

Centre coordinates = ((4 + 2)/2), ((-3 + 1)/2) = (3, -1)

Diameter;

d = √(1 - (-3))² + (2 - 4)²)

d = √20

d = 2√5

Radius = ½ × diameter

Thus;

r = ½ × 2√5

r = √5

Equation of a circle is;

(x - a)² + (y - b)² = r²

Where;

(a, b) are coordinates of the centre of the circle

r is radius.

Thus;

(x - 3)² + (y - (-1))² = (√5)²

x² - 6x + 9 + y² + 2y + 1 = 5

x² + y² - 6x + 2y + 10 = 5

x² + y² - 6x + 2y + 10 - 5 = 0

x² + y² - 6x + 2y + 5 = 0

Answer:

50 km/hr

Step-by-step explanation:

speed = x + 75

distance = 250km

time = 2

250 = (x + 75) * 2

125 = x + 75

x = 50