Your hair is growing at 1 inch per month. You got your hair cut to 4 inches in length. Write and equation that gives the length of the hair, y, in terms of the months since your haircut, x

Answers

Answer 1

Answer:

Your hair grows 2 to 4 inches in 4 months, 4 to 6 inches in 9 months, and 6 to 8 inches in a year. Though this is how the usual growth cycle works, it also depends on seasonal changes, hair and scalp health, medications, hormonal changes, and diet among other factors.

Step-by-step explanation:

Related Questions

There was a population of 160 beavers in a National Park. After a year, the population increased by 45%. How many beavers are there in the park now?

Answers

Answer:

232

Step-by-step explanation:

→ Find the percentage multipier

( 100 + 45 )÷ 100 = 1.45

→ Multiply this by the original amount

1.45 × 160 = 232

.
Jill rolled a regular 6-faced die three times and got 2 each time.
What is the probability that she will roll 2 again on the next roll?

Answers

Answer: 1/6

Step-by-step explanation:

Since there’s only one side on the dice that has two on it out of six sides it has to be 1/6.

1/6 because there are six sides of the dice and only one 2 side so the answer is 1/6

A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 86m long and 64m wide. Find the area of the training field. Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

The area of the training field is 5606.48 m².

What is area?

Area can be defined as the region bounded by a plane shape.

To calculate the area of the training field, we use the formula below.

Formula:

A = lw+π(w/2)².................. Equation 1

Where:

A = Area of the training fieldl = Length of the training fieldw = width of the training fieldπ = pie

From the question,

Given:

l = 86 mw = 64 m

Substitute these values into equation 1

A = (86×64)+[3.14×(64/2)²]A = 5504+100.48A = 5604.48 m²

Hence, the area of the training field is 5606.48 m².

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Help find the probability

Answers

Answer:

18. 0.25

19. 0.33

Step-by-step explanation:

Problem 18

Number of oranges = 2Number of fruits = 2 + 6 = 8P (orange) = 2/8 = 1/4P (orange) = 0.25

Problem 19

Number of 1 or 6 faces = 2Total faces = 6P (1 or 6) = 2/6 = 1/3P (1 or 6) = 0.33 (2 DP)

△MNP is the image of △JKL after a reflection in the x-axis. Select all of the statements that are always true. The length of side KL equals the length of side PM. The length of side , KL, equals the length of side , PM, . The length of side JK equals the length of side MN. The length of side , JK, equals the length of side , MN, . The measure of angle K equals the measure of angle P. The measure of angle , K, equals the measure of angle , P, . The measure of angle L equals the measure of angle P.

Answers

The corresponding sides and angles of the both triangle would be congruent to each other.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

△MNP is the image of △JKL after a reflection in the x-axis. Therefore, both triangles would be congruent.

The corresponding sides and angles of the both triangle would be congruent to each other.

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Can someone please help me.

Answers

Answer:

The answer can be seen in the image attached to this message (containing the full steps).

short: 27cm

long: 36cm

hypotenuse: 45cm

Step-by-step explanation:

The image attached to this message contains explained steps.

The present shown below is a cube. Find the surface area.

Answers

Answer:

SA = 2,400 cm²

Step-by-step explanation:

Surface Area (SA) of a cuboid: 2(lw) + 2(wh) + 2(hl)

SA = 2(lw) + 2(wh) + 2(hl)

l = 20 cmw = 20 cmh = 20 cm

Substitute the values above and multiply:

SA = 2(lw) + 2(wh) + 2(hl)

SA = 2(20)(20) + 2(20)(20) + 2(20)(20)

SA = 2(400) + 2(400) + 2(400)

SA = 800 + 800 + 800

SA = 2,400 cm²

Final answer: 2,400 cm²

Hope this helps!

SURFACE AREA

================================

[tex] \large \sf \underline{Direction:}[/tex]

The present shown below is a cube. Find the surface area.

================================

[tex] \large \sf \underline{Answer:}[/tex]

[tex] \qquad \qquad \huge \bold{2,400cm^{2} }[/tex]

================================

[tex] \large \sf \underline{Solution:}[/tex]

[tex] :\sf{SA=2(lw)+2(wh)+2(hl)}[/tex]

[tex]:\sf{SA=2(20)(20)+2(20)(20)+2(20)(20)}[/tex]

[tex]:\sf{SA=2(400)+2(400)+2(400)}[/tex]

[tex]:\sf{SA=800+800+800}[/tex]

[tex]\therefore\sf\underline{SA = \pmb{2,400cm^{2} }}[/tex]

Hence, the surface area that you are looking for is 2, 400cm².

================================

a. find the surface area of the rectangular prism

b. find the volume.

a. find the volume of the prism

b. find the surface area of the prism.

Answers

A=24 because 4x6=24 and 24 the fromula is A=bh there trying to trick u with the other number

Answer:

For rectangulasr prism

a. [tex]72cm^3[/tex]

b. [tex]108cm^{3}[/tex]

Step-by-step explanation:

For rectangulasr prism

a. Equation: Volume = length x width x height

length: 6cm

width: 4cm

height: 3cm

Volume = 6cm x 4cm x 3cm

Volume = 24cm x 3cm

b. Equation: A = 2[(width x length) + (height x length) + (heigth x width)]

A = 2[(4cm x 6cm) + (3cm x 6cm) + (3cm x 4cm)]

A = 2[(24cm) + (18cm) + (12cm)]

A = 2[(24cm) + (30cm)]

A = 2[(54cm)]

Can someone pls help me

Answers

The complete statement is 67000 pounds is equivalent to 33.5 tons

How to convert the units?

The unit is given as:

Weight = 67000 pounds

As a general rule;

1 pound = 0.0005 tons

Multiply both sides by 67000

67000 * 1 pound = 67000 * 0.0005 tons

Evaluate

67000 pounds = 33.5 tons

Hence, 67000 pounds is equivalent to 33.5 tons

Answers

Answer:

711001392

321000759

Step-by-step explanation:

hope it helps ^o^

Type such digits that's are correlated to both numbers but they are not present in both rather than present in one.

They can be 2 and 7 or 5 and 9

711001392321000756

You can write other one also

Kate has $17. She wants to hire a bike for 5 hours. There are two companies.
The table shows the cost C, in $, of hiring the bike for n hours from each company.
Company A C = 2n + 6
Company B C = 3n + 3
Find the cost of hiring a bike from Company A and Company B.

Answers

Answer:

It's 8 yuan per hour in company A and 9 yuan per hour in company B

x/7 ≥ -6 please help me solve for x

Answers

Answer:

x ≥ -42

Step-by-step explanation:

[tex]\frac{x}{7} > =-6[/tex]

[tex]\frac{x}{7}\cdot 7 > =-6\cdot 7[/tex]

[tex]\frac{1}{7}\cdot 7x > =-6\cdot 7[/tex]

[tex]x > =-6\cdot 7[/tex]

[tex]x > =-42[/tex]

Shortcut

• Multiply positive 7 by negative 6 to find x as a shortcut.

A store buys a bike for $140. They mark up the bike 25%. What is the selling price?

Answers

Answer:

$175

Step-by-step explanation:

Original Price = $140

Mark up (% increase) = 25%

Selling Price = Original Price (1 + Mark up)

SP = 140 (1 + 25%)SP = 140 (1 + 0.25)SP = 140 (1.25)SP = $175

Please help me do this mathematics question experts

Answers

[tex]\textbf{(i)}\\\\~~~~~~~y= e^{3x} \sin 2x\\\\\\\implies \dfrac{dy}{dx} = \dfrac{d}{dx} \left( e^{3x} \sin 2x \right)\\\\\\~~~~~~~~~~~~=e^{3x} \dfrac{d}{dx} \sin 2x + \sin 2x \dfrac{d}{dx} e^{3x}\\\\\\~~~~~~~~~~~~=2e^{3x} \cos 2x + 3e^{3x}\sin 2x \\\\\\[/tex]

[tex]\textbf{(ii)}\\\\~~~~~~~~y = \dfrac{e^{3x}}{\cos 2x}\\\\\\\implies \dfrac{dy}{dx} = \dfrac d{dx} \left(\dfrac{e^{3x}}{\cos 2x} \right)\\\\\\~~~~~~~~~~~=\dfrac{\cos 2x \dfrac{d}{dx}\left(e^{3x} \right) -e^{3x} \dfrac{d}{dx}( \cos 2x) }{\cos^2 (2x)}\\\\\\~~~~~~~~~~~=\dfrac{3e^{3x} \cos 2x+2e^{3x}\sin2x }{\cos^2(2x)}\\\\\\~~~~~~~~~~~=\dfrac{3e^{3x} \cos 2x}{ \cos^2(2x)} + \dfrac{2e^{3x} \sin 2x}{\cos^2(2x)}\\\\\\~~~~~~~~~~~=3e^{3x}\sec (2x) + 2e^{3x}\sec (2x) \tan (2x)[/tex]

[tex]\textbf{(iii)}\\\\~~~~~~~~~y=( 3x+2)^3\\\\\\\implies \dfrac{dy}{dx} = \dfrac{d}{dx}(3x+2)^3\\\\\\~~~~~~~~~~~=3(3x+2)^2 \dfrac{d}{dx} (3x+2)\\\\\\~~~~~~~~~~~=3(3x+2)^2 \cdot 3\\\\\\~~~~~~~~~~~=9(3x+2)^2[/tex]

[tex]\textbf{(iv)}\\\\~~~~~~~~~x^2 +y^2 = 5xy\\\\\\\implies \dfrac{d}{dx}(x^2 +y^2) = 5\dfrac{d}{dx} (xy)\\\\\\\implies 2x + 2y \dfrac{dy}{dx} = 5\left(x \dfrac{dy}{dx} +y\right)\\ \\\\\implies 2x +2y \dfrac{dy}{dx} = 5x \dfrac{dy}{dx} +5y\\\\\\\implies 2y \dfrac{dy}{dx} - 5x \dfrac{dy}{dx} = 5y-2x\\\\\\\implies (2y-5x) \dfrac{dy}{dx} = 5y-2x\\\\\\\implies \dfrac{dy}{dx} = \dfrac{5y-2x}{2y-5x}[/tex]

Find the remainder when 2x^3-5x^2+x-3 is divided by (x-1)

Answers

Answer:

-7.

Step-by-step explanation:

Using the Remainder Theorem :

If f(x) is divided by x-1 then the remainder is f(1), so

The required remainder

= f(1) = 2(1)^3 - 5(1)^2 + (-1) - 3

= 2 - 5 - 1 - 3

= -7.

Answer:

remainder = -5

Step-by-step explanation:

Divide using long division:

[tex]\large \begin{array}{r}2x^2-3x-2\phantom{)}\\x-1{\overline{\smash{\big)}\,2x^3-5x^2+x-3\phantom{)}}}\\\underline{-~\phantom{(}(2x^3-2x^2)\phantom{-b))))))}}\\0-3x^2+x-3\phantom{)}\\ \underline{-~\phantom{()}(-3x^2+3x)\phantom{-b}}\\ 0-2x-3\phantom{)}\\\underline{-~\phantom{()}(-2x+2)}\\ -5\end{array}[/tex]

*2.) Which trinomial is equivalent to 4(x - 5)^2– 3(x - 2)?

Answers

Answer:

4x² - 43x - 106

Step-by-step explanation:

4(x - 5)²– 3(x - 2)

4(x - 5)(x - 5) - 3 (x - 2)

distribute

4(x(x - 5) - 5(x - 5)) - 3 (x - 2)

4(x² - 5x - 5x - 25) - 3 (x - 2)

↓

combine like terms ↓

4(x² - 10x - 25) ((( ↓

distribute again ↓

4x² - 40x - 100 ↓

↓

distribute ↔ ↓

4x² - 40x - 100 - 3 (x - 2)

4x² - 40x - 100 - 3x + 6

add

4x² - 40x - 106 - 3x

combine

4x² - 43x - 106

4.1 A bag contains 6 red, 4 green, 2 yellow and 3 blue balls. In each case, give the ratio (in simplest form) of the asked number of balls in the bag.( 4 ) 4.1.1 The number of red balls to the number of green balls.

Answers

The number of red balls to the number of green balls is 3 : 2

How to determine the ratio?

The distribution of the balls is given as:

6 red, 4 green, 2 yellow and 3 blue balls

The number of red balls to the number of green balls is represented as:

Ratio = Red : Green

So, we have:

Ratio = 6 : 4

Simplify

Ratio = 3 : 2

Hence, the number of red balls to the number of green balls is 3 : 2

Answers

Answer:

[tex]0.33[/tex]

Step-by-step explanation:

There are 6 sides on dice, therefore the sample space would be 6 (the sample space is the denominator). We were asked to find the probability of getting a 1 or a 6. Since we were given 2 options 1 or 6, it therefore means that we are trying to find the probability of the dice rolling on 2 out of the 6 sides it has. Therefore the probability would be:

[tex] \frac{2}{6} \: or \: \frac{1}{3} [/tex]

A third as a decimal is

[tex]0.33[/tex]

the marathon runner runs 5/2 miles in 1/4 hour what is the unit rate?

Answers

Step-by-step explanation:

Divide the two numbers.

5/2 / 1/4

Flip the 2nd fraction and multiply:

5/2 * 4/1

20/2

So the marathon runner travels at a unit rate of 10 MPH.

Please heLp me lollol

Answers

Answer:

AC = 10

Step-by-step explanation:

AB = 6

BC = 4

just sum

6 + 4 = 10

AC = 10

if x/5 + 6 = -14, then x =

Answers

Answer:

The answer is (-100).

Step-by-step explanation:

Given;x/5 + 6 = -14To Find;The value of x

Now,

x/5 + 6 = -14

Cross multiplication

x + 5 × 6 ÷ 5 = -14

x + 30/5 = -14

Multiply 5 both sides we get,

x + 30/5 × 5 = -14 × 5

x + 30 = -70

x + 30 – 30 = -70 – 30

x = -100

Thus, The value of x is (-100).

Answer:

[tex]\huge\boxed{\sf x = -100}[/tex]

Step-by-step explanation:

Given Equation:

x/5 + 6 = -14

Subtract 6 to both sides

x/5 = -14 - 6

x/5 = -20

Multiply 5 to both sides

x = -20 × 5

x = -100

[tex]\rule[225]{225}{2}[/tex]

find the length of a diagonal of a square whose side is 2 cm

Answers

Answer:

2√2 cm

Step-by-step explanation:

Formula to be understood :

Diagonal of a square = Side length√2

Deriving the formula :

Apply Pythagorean Theorem by taking the side lengths as altitudes and the diagonal as a hypotenuseside length² + side length² = hypotenuse²2(side length)² = hypotenuse²hypotenuse = side length√2

Solving for the length of the diagonal :

diagonal = 2√2 cm

Side=a=2cm

Length of diagonal

side√2a√22√2cm

Dried rose petals can be used to make rose water. Fatima buys 0.454 kilogram
of rose petals.
• She uses 0.02 kilogram of the rose petals to make rose water.
• Then, she buys an additional 0.056 kilogram of rose petals.
• Finally, she uses 0.095 kilogram of the rose petals to make more rose water.
Fatima completes the steps below and says she has 0.413 kilogram of rose
petals left. What mistake did Fatima make?
Use the drop-down menus to explain her mistake and to find the number of
kilograms of rose petals left.
First Step
Second Step
Third Step
0.454
0.452
0.508
0.02
+0.056
- 0.095
0.452
0.508
0.413
Click the arrows to choose an answer from each menu.
Fatima made her first mistake at the Choose...
step.
She incorrectly Choose...
Fatima has Choose...
Y
kilogram of rose petals left.

Answers

Fatima's claim that she has 0.413 kilogram of rose petals left is wrong

How to determine the amount of rose petals left?

The given parameters are:

Amount purchased = 0.454 kg and 0.056 kgUsed amounts = 0.02kg and 0.095 kg

The amount left is the difference between the amount purchased and the amount used.

So, we have:

Remaining = 0.454 + 0.056 - 0.02 - 0.095

Evaluate

Remaining = 0.395

This means that the remaining amount is 0.395kg, not 0.413 kg

Hence, Fatima's claim that she has 0.413 kilogram of rose petals left is wrong

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Answer: she is left with 0.395 kilogram of rose pedals

Step-by-step explanation: she misalinged the first step,

0.454 - 0.02 = 0.434 + 0.056 = 0.490 - 0.095 = 0.395

Jan's electric bill is averaging $8 per day mostly due to the air conditioner. By setting the AC to a higher temperature, closing curtains to block sunlight, and using direct-blowing fans for comfort, Jan reduces the bill to $5 per day. How much did Jan reduce the electric bill for a 30-day month?

Answers

Answer:

$5×30days= $150 for the whole month

Answer: $90 saved

Step-by-step explanation:

8 - 5 = $3 dollars saved each day

Multiply daily amount saved by number of days

$3 × 30 = $90 saved

4.
Let the cost function f of the unusual planet that orbit the earth is given as follows:
Vx+c² - c
f(x)=
c>0
x
I
(a)
Find the domain of f?
(b) Explain how can you define ſ so that it is continuous at x=0?
b

Answers

(a)The domain of the function is, [tex]\rm x \geq -c^2 \ x\neq0[/tex]

(b)The given function is discontinuous at x=0.

What is the domain and range of a function?

Domain is the set of values for which the given function is defined. Range is the set of all values which the given function can output.

The standard function is;

[tex]\rm f(x)= \frac{\sqrt{x+c^2-c} }{x} , c > 0[/tex]

The domain of the given function is found as;

[tex]\rm x+c^2 \geq 0 \ x\neq 0 \\\\ x\geq-c^2 \ x\neq 0[/tex]

The domain of the function is,

[tex]\rm x \geq -c^2 \ x\neq0[/tex]

To find the function is continuous or not, we have to find the continuity;

[tex]\rm f(x) = \frac{\sqrt{ x+c^2-c}}{x} ,c > 0[/tex]

At x= 0 the function is undefined. So that the function is discontinuous at x=0.

Hence, The domain of the function is, [tex]\rm x \geq -c^2 \ x\neq0[/tex] and the function is discontinuous at x=0.

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An airplane is headed due south with an airspeed of 300 kph. A wind is blowing from the west at 120 kph. What is the ground speed and direction of the plane?

323 kph with a directional bearing of S 22° E
328 kph with a directional bearing of S 68° E
420 kph with a directional bearing of S 22° E
420 kph with a directional bearing of S 68° E

Answers

The ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E

To find the ground speed of the plane, we need to know what a vector is

What is a vector?

A vector is a variable that has both magnitude and direction.

Since the airplane is headed due south with an airspeed of 300 kph, its vector is V = (-300 kph)j.

Also, the wind is blowing from the west at 120 kph. Its vector is v = (-120 kph)i

Now, the ground speed of the plane V' is the resultant vector of the airspeed and wind speed.

What is a resultant vector?

A resultant vector is the sum of two or more vectors.

So, V' = v + V

V' = (-120 kph)i + (-300 kph)j

So, its magnitude V' = √(x² + y²) where

x = -120 kph and y = -300 kph.

So, V' = √[(-120 kph)² + (-300 kph)²]

= √[14400 kph² + 90000 kph²]

= √(104400 kph²)

= 323.11 kph

≅ 323 kph

The direction of the plane

Its direction, Ф = tan⁻¹(y/x)

Ф = tan⁻¹(-300 kph/-120 kph)

Ф = tan⁻¹(2.5)

Ф = 68.2°

From the South-line we have α = 90° - Ф = 90° - 68.2° = 21.8° ≅ 22°

So, the directional bearing of the plane is S22°E.

So, the ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E

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Answer:

A on edge 2022

Step-by-step explanation:

323 kph and 22 E

rewrite! Write an new and equivalent equation that is easier to solve

Answers

[tex]{\huge{\fcolorbox{yellow}{red}{\orange{\boxed{\boxed{\boxed{\boxed{\underbrace{\overbrace{\mathfrak{\pink{\fcolorbox{green}{blue}{Answer}}}}}}}}}}}}}[/tex]

[tex] \sf 7( \sqrt{m + 1} - 3) = 21[/tex]

we will multiply 7 with bracket

[tex] \sf 7 \sqrt{m + 1} - 21 = 21[/tex]

Now we will take (-21) on LHS to RHS

[tex] \sf 7 \sqrt{m + 1} = 21 + 21 \\ \\ \sf7 \sqrt{m + 1 } = 42 \\ \\ \sf \sqrt{m + 1} = \frac{42}{7} \\ \\ \sf \sqrt{m + 1} = 6[/tex]

Now we will do squaring both sides

[tex] \sf {( \sqrt{m + 1}) }^{2} = {(6)}^{2} \\ \\ \sf \red {m + 1 = 36}[/tex]

[tex]\sf{ 7( \sqrt{m+1} - 3)=21}[/tex]