f(x) = x2. What is g(x)?

Answer:

What is the question

Step-by-step explanation:

Answer:

The answer is

y = 2x -3 and

y = -2x - 3

its y = 2x -3

y = -2x - 3

Answer:

3:5 or 3/5

Step-by-step explanation:

We know that there are -->

56 Females

84 Males

We need to find the total amt. of ppl

56 + 84 = 140

Males/140 --> Plug 84 in => 84/140

Since it wants simplified, divide both by 7 as 7 is a factor of both -->

12/20 --> Divide by 4

3/5 => This is the most simplified we can get and -->

thus, our answer is 3:5 or 3/5

Hope this helps!

Answer:

Step-by-step explanation:

Given,

D = diameter of semicircular part = 42 m

L = Length of straight part = 110 m

Now, let's find the perimeter:

= 2 ( length of semi-circle + length of straight part )

[tex] = 2( \frac{\pi \: d}{2} + l)[/tex]

Plug the values

[tex] = 2( \frac{3.14 \times 42}{2} + 110)[/tex]

Calculate the product

[tex] = 2( \frac{131.88}{2} + 110)[/tex]

Divide

[tex] = 2 (65.94 + 110)[/tex]

Calculate the sum

[tex] = 2 \times 175.94[/tex]

Calculate

[tex] = 351.88 \: m[/tex]

Hope this helps..

Best regards!!

Answer:

351.88 m²

Step-by-step explanation:

diameter of the semicircle=42  the radius=42/2=21

perimeter of circle=2π r=2(3.14(21))= 131.88(since you have two semi-circle,then it is a full circle)

perimeter of the rectangle: 2(110)=220( the width used to measure the perimeter of the circle)

the area of the track=131.88+220=351.88

Answer:

27

Step-by-step explanation:

[tex]3^{3}[/tex] is basically just multiplying the number 3, three times. So 3x3x3. 3x3 is 9, and when you multiply 3 more, it is 27.

Answer:

Step-by-step explanation: 3, because when 3 is cubed you get 27.

Step-by-step explanation:

The figure above is a cube since all it's sides are equal

Volume of a cube = l³

where l is the length of one side

From the question

l = 5

So the volume of the cube is

Volume = 5³

Surface area of a cube = l²

= 5²

Hope this helps you

Answer:

7+n

Step-by-step explanation:

More indicates that we are adding an amount to n.

So since it is 7 more, we need to add 7 to n.

Note that an expression does not include an equal sign, so we are done.

Other commonly seen phrases are:

less than ->  indicates subtraction

product of -> indicates multiplication

divided by -> division

Answer:

l0^4

2 (2)^4

I'm sorry if my answer is not helping

Answer:

The answer is B

Answer: B

Step-by-step explanation:

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.

All you need to do is find which of following is a whole number or integer.

Answer:

The answer is

Step-by-step explanation:

If 2cm is 8 feet on the drawing then since 4 is the double of 8,

16 would be the width

8·2=16

For the length, 4 is two less than 6 so, to find the width,

Add 16+2=18

Therefore,

The answer is C.

Length=18 Width=16

Answer:

Length = 24 ft, width = 16 ft

Step-by-step explanation:

The scale is 2 cm (drawing) = 8 ft (real).

The drawing length is 6 cm.

6 cm is 3 times 2 cm

Multiply both sides of the scale by 3.

3 * 2 cm = 3 * 8 ft

6 cm = 24 ft

The real length is 24 ft.

The drawing width is 4 cm.

4 cm is 2 times 2 cm

Multiply both sides of the scale by 2.

2 * 2 cm = 2 * 8 ft

4 cm = 16 ft

The real width is 16 ft.

Answer:

Length = 24 ft, width = 16 ft

Answer:

[tex]=3/4[/tex]

Step-by-step explanation:

[tex]\frac{4\sqrt{18}}{16\sqrt{2}}[/tex]

First, simplify the fraction:

[tex]=\frac{\sqrt{18}}{4\sqrt2}[/tex]

Now, simplify the radical in the numerator (the radical in the denominator cannot be simplified:

[tex]\sqrt{18}=\sqrt{9\cdot2}=\sqrt{9}\cdot\sqrt{2}=3\sqrt{2}[/tex]

Substitute:

[tex]=\frac{3\sqrt{2}}{4\sqrt{2}}[/tex]

The radicals cancel:

[tex]=3/4[/tex]

Answer:

m∠F = 20.6°

Step-by-step explanation:

In the given right triangle ΔHGF,

∠G = 90°

By applying tangent rule in the triangle,

tan(∠F) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

            = [tex]\frac{\text{HG}}{\text{GF}}[/tex]

            = [tex]\frac{3}{8}[/tex]

            = 0.375

m∠F = [tex]\text{tan}^{-1}(0.375)[/tex]

        = 20.556°

        = 20.6°

Therefore, measure of angle F is 20.6°

Answer:

30 60 90 triangle

the hypotenuse is twice the length of the shorter leg length.

Answer:

264 ft³

Step-by-step explanation:

The following data were obtained from the question:

Pi (π) = 3.14

Height (h) = 21 ft

Radius (r) = 2 ft

Volume (V) =..?

The volume of the cylinder can be obtained as follow:

V = πr²h

V = 3.14 × 2² × 21

V = 3.14 × 4 × 21

V = 264 ft³

Therefore, the of the cylinder is 264 ft³

Answer:

[tex]Side\ B = 6.0[/tex]

[tex]\alpha = 56.3[/tex]

[tex]\theta = 93.7[/tex]

Step-by-step explanation:

Given

Let the three sides be represented with A, B, C

Let the angles be represented with [tex]\alpha, \beta, \theta[/tex]

[See Attachment for Triangle]

[tex]A = 10cm[/tex]

[tex]C = 12cm[/tex]

[tex]\beta = 30[/tex]

What the question is to calculate the third length (Side B) and the other 2 angles ([tex]\alpha\ and\ \theta[/tex])

Solving for Side B;

When two angles of a triangle are known, the third side is calculated as thus;

[tex]B^2 = A^2 + C^2 - 2ABCos\beta[/tex]

Substitute: [tex]A = 10[/tex],  [tex]C =12[/tex]; [tex]\beta = 30[/tex]

[tex]B^2 = 10^2 + 12^2 - 2 * 10 * 12 *Cos30[/tex]

[tex]B^2 = 100 + 144 - 240*0.86602540378[/tex]

[tex]B^2 = 100 + 144 - 207.846096907[/tex]

[tex]B^2 = 36.153903093[/tex]

Take Square root of both sides

[tex]\sqrt{B^2} = \sqrt{36.153903093}[/tex]

[tex]B = \sqrt{36.153903093}[/tex]

[tex]B = 6.0128115797[/tex]

[tex]B = 6.0[/tex] (Approximated)

Calculating Angle [tex]\alpha[/tex]

[tex]A^2 = B^2 + C^2 - 2BCCos\alpha[/tex]

Substitute: [tex]A = 10[/tex],  [tex]C =12[/tex]; [tex]B = 6[/tex]

[tex]10^2 = 6^2 + 12^2 - 2 * 6 * 12 *Cos\alpha[/tex]

[tex]100 = 36 + 144 - 144 *Cos\alpha[/tex]

[tex]100 = 36 + 144 - 144 *Cos\alpha[/tex]

[tex]100 = 180 - 144 *Cos\alpha[/tex]

Subtract 180 from both sides

[tex]100 - 180 = 180 - 180 - 144 *Cos\alpha[/tex]

[tex]-80 = - 144 *Cos\alpha[/tex]

Divide both sides by -144

[tex]\frac{-80}{-144} = \frac{- 144 *Cos\alpha}{-144}[/tex]

[tex]\frac{-80}{-144} = Cos\alpha[/tex]

[tex]0.5555556 = Cos\alpha[/tex]

Take arccos of both sides

[tex]Cos^{-1}(0.5555556) = Cos^{-1}(Cos\alpha)[/tex]

[tex]Cos^{-1}(0.5555556) = \alpha[/tex]

[tex]56.25098078 = \alpha[/tex]

[tex]\alpha = 56.3[/tex] (Approximated)

Calculating [tex]\theta[/tex]

Sum of angles in a triangle = 180

Hence;

[tex]\alpha + \beta + \theta = 180[/tex]

[tex]30 + 56.3 + \theta = 180[/tex]

[tex]86.3 + \theta = 180[/tex]

Make [tex]\theta[/tex] the subject of formula

[tex]\theta = 180 - 86.3[/tex]

[tex]\theta = 93.7[/tex]

Answer:

Distance between Amanda and Angela (c) = 4.30 km (Approx)

Step-by-step explanation:

Given:

Amanda rides (a) = 10 km

Angela rides (b) = 12 km

Angel between them = 20°

Find:

Distance between Amanda and Angela (c)

Computation:

Using law of cosines:

c² = a² + b² - 2abCosФ

c² = 10² + 12² - 2(10)(12)Cos20°

c² = 100 + 144 - 2(10)(12)(0.9397)

c² = 244 - 225.528

c² = 18.472

c = 4.2979

Distance between Amanda and Angela (c) = 4.30 km (Approx)

The value of x is 3

The above expression in the question is referred to as an Algebraic expression

7+ 2x/3 = 5

7 x 3 + (2x/3) x 3 = 5 x 3

21 + 2x = 5 × 3

21 + 2x = 15

21 - 21 + 2x = 15 - 21

2x = -6

2x/2 = -6/2

x = -3

Therefore, the value of x is  -3

To learn more, visit the link below:

brainly.com/question/15791428

Answer:

A. x = -2,500.

Step-by-step explanation:

sqrt(-4x) = 100

(sqrt(-4x)^2 = (100)^2

-4x = 10,000

4x = -10,000

x = -2,500

Check your work...

sqrt(-4(-2,500))

= sqrt(4 * 2,500)

= sqrt(10,000)

= plus or minus 100

A. x = -2,500 is your answer.

Hope this helps!

Answer:

The answer would be A, x=-2500

Explanation:

To remove the radical on the left side of the equation, square both sides of the equation.

√ − 4 x^ 2 = 100^ 2

Simplify each side of the equation.

− 4 x = 10000

Divide each term by  

−4

and simplify.

x = -2500

Answer:

Step-by-step explanation:

The expression used to model the volume, in gallons, is 12x^2-13x+3

When the through is empty it means that there is no water in it wich means that the expression used equals 0

● 12x^2-13x+3 = 0

The expression is quadratic equation so to solve it we will use the discriminant method

The discriminant is b^2-4ac

● b= -13

● a= 12

● c= 3

b^2-4ac = (-13)^2+4×12×3 = 25

25 > 0 so the discriminant is positive

We have two solutions

Let x and x' be the solutions

x = (-b-5)/2×a =(13-5)/24 = 8/24 = 1/3

5 is the root square of 25 (the discriminant)

x' = (-b+5)/2a = (13+5)/25 = 18/24 = 3/4

The solutions are 1/3 and 3/4

1/3 = 0.34

3÷4 = 0.75

The through can't be empty from water in two different times

So it will be empty when reaching one of the 2 solutions first

0.34 < 0.75

Then at 0.34 min the through is epty from water

Answer:

[tex]0 = 12x^2 - 13x + 3[/tex]

Step-by-step explanation:

The volume of the trough is modeled by the equation:

[tex]V = 12x^2 - 13x + 3[/tex]

The trough will be empty when the volume of water in it is 0. That is, the expression that would reveal when the trough is empty is:

[tex]0 = 12x^2 - 13x + 3[/tex]

We can further simplify it:

[tex]12x^2 - 9x - 4x + 3 = 0\\\\3x(4x - 3) - 1(4x - 3) = 0\\\\(3x - 1)(4x - 3) = 0[/tex]

Answer:

21x³y^4

Step-by-step explanation:

7xy(3x^2y^3)=

21x³y^4

Answer:

21x^3y^4

Step-by-step explanation:

Multiply each term:

21x^3y^4

Plz mark me brainliest!!

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:

Given the total God diva chocolate contained in a box to be equal to 52 identical chocolates.

If 31 have caramel filling, the amount of walnut filling will be 52-31 = 21. This means 21 remaining chocolate will contain walnuts.

Probability = expected number of outcomes/total outcome

If we are to find the probability that the chocolate chosen at random contains walnuts, then our expected outcome will be 21 and the total outcome will be total God diva chocolate contained in the box  which is 52.

The probability that the chocolate chosen at random contains walnuts = 21/52

Answer:

Step-by-step explanation:

                +2d+30    +2d+30

                    ÷(-15)      ÷(-15)

my mistake it's actually d= -30/19 sometimes I forget you put them in fractions

Answer:

0.9855 or 98.55%.

Step-by-step explanation:

The probability of each individual match being flawed is p = 0.008. The probability that a matchbox will have one or fewer matches with a flaw is the same as the probability of a matchbox having exactly one or exactly zero matches with a flaw:

[tex]P(X\leq 1)=P(X=0)+P(X=1)\\P(X\leq 1)=(1-p)^{23}+23*(1-p)^{23-1}*p\\P(X\leq 1)=(1-0.008)^{23}+23*(1-0.008)^{23-1}*0.008\\P(X\leq 1)=0.8313+0.1542\\P(X\leq 1)=0.9855[/tex]

The probability  that a matchbox will have one or fewer matches with a flaw is 0.9855 or 98.55%.

Answer:

83

Step-by-step explanation:

The 126 angle is an exterior angle of the triangle.

The 43 and x angles are the two remote interior angles of the 126 angle.

Theorem:

The measure of an exterior angle of a triangle equals the sum of the measures of the remote interior angles.

x + 43 = 126

x = 83

Answer:

x = 83

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

126 = x+43

Subtract 43 from each side

126-43 = x+43-43

83 = x

Answer:

12 / 37 (or:=0.324324324...)

Step-by-step explanation:

Sinθ = opposite / hypotenuse

Hence

sinA = 12 / 37

(=0.324324324...)

Answer:

A = 19

Step-by-step explanation:

sin A = opp/hyp

sin A = 12/37

A = sin- ¹ 12/37

A=  18.92  or  19

Answer:

C. 18.5

Step-by-step explanation:

1/2(11 + 26) = 18.5

Answer:

x= -4   x= 3

Step-by-step explanation:

x2 + x-12 = 0

Factor

What 2 numbers multiply to -12 and add to 1

4 * -3 = -12

4+3 = 1

( x+4) ( x-3) =0

Using the zero product property

x= -4   x= 3

Answer:

E, F

Step-by-step explanation:

x² + x - 12 = 0

Let’s factor left side.

Find 2 numbers that multiply to get -12 and add to get 1

4 ×  -3 = -12

4 + 3 = 1

x² - 3x + 4x - 12 = 0

x(x - 3) + 4(x - 3) = 0

(x + 4)(x - 3) = 0

Set factors equal to 0.

x + 4 = 0

x = -4

x - 3 = 0

x = 3