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leonid [27]
3 years ago
15

After m months, the height of a plant is 10+3m millimeters. How tall is the plant after eight months? Three years?

Mathematics
1 answer:
Oksanka [162]3 years ago
4 0
Why not start out by writing a linear relationship for the plant height?

h(m) = 10 + 3m, where h is the height in mm and m is the time in years, starting from zero (0).

After 8 months, the plant height is h(8) = 10 mm + 3(8) mm, or 34 mm.

After 3 years (36 months), the plant ht. is h(36) = 118 mm.
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Two cars are 190 miles apart and travel toward each other along the same road. They meet in 2 hours. One car travels 5 miles per
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The speed of slower car is 45 mph and faster car is 50 mph.

Step-by-step explanation:

Given,

Distance covered by both cars = 190 miles

Time taken by both of them = 2 hours

Let,

x be the speed of slower car.

Speed of faster car = x+5

Combined speed = x+x+5 = 2x+5

We know that;

Distance = Speed * Time

190=(2x+5)*2\\190=4x+10\\4x=190-10\\4x=180\\

Dividing both sides by 4

\frac{4x}{4}=\frac{180}{4}\\x=45

Speed of slower car = 45 miles per hour

Speed of faster car = 45+5 = 50 miles per hour

The speed of slower car is 45 mph and faster car is 50 mph.

Keywords: speed, distance

Learn more about speed at:

  • brainly.com/question/909731
  • brainly.com/question/902892

#LearnwithBrainly

6 0
3 years ago
STUDY<br> 1. Simplify the expression below<br> 5p + 14p<br> 4(x - 2) + 6x<br> 2. Evaluate
melisa1 [442]

Answer:

(11)(B) Simplify numeric and algebraic expressions using the laws of exponents, including integral ... Evaluate the expression for d = -2, d = 0, and d = 1.

Step-by-step explanation:

3 0
2 years ago
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Triangle J is shown below. James drew a scaled version of Triangle J using a scale factor of 4 and labeled it
Novay_Z [31]

Answer:

The area of triangle K is 16 times greater than the area of triangle J

Step-by-step explanation:

we know that

If Triangle K is a scaled version of Triangle J

then

Triangle K and Triangle J are similar

If two triangles are similar, then the ratio of its areas is equal to the scale factor squared

Let

z -----> the scale factor

Ak ------> the area of triangle K

Aj -----> the area of triangle J

so

z^{2}=\frac{Ak}{Aj}

we have

z=4

substitute

4^{2}=\frac{Ak}{Aj}

16=\frac{Ak}{Aj}

Ak=16Aj

therefore

The area of triangle K is 16 times greater than the area of triangle J

4 0
3 years ago
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A home improvement store advertises 50 square feet of flooring for $300.00 including a $100.00 installation fee. How much does e
dimulka [17.4K]
$6 . It will cost $6 because spending 6 dollars , 50 times will equal $300
3 0
2 years ago
Show that y=cos(t)y=cos(t) is a solution to (dydt)2=1−y2(dydt)2=1−y2. Enter your answers below in terms of the independent varia
GrogVix [38]

Answer:

(\frac{dy}{dt})^2=sin^2t

Step-by-step explanation:

y=cost

DE :(\frac{dy}{dt})^2=1-y^2

If y is a solution of given DE then it satisfied the DE.

Differentiate w.r.t t

\frac{dy}{dt}=-sint

Using the formula

\frac{d(cosx)}{dx}=-sinx

LHS:(\frac{dy}{dt})^2=(-sint)^2=sin^2t

RHS

1-y^2=1-cos^2t=sin^2t

By using the formula

sin^2t=1-cos^2t

LHS=RHs

Hence, y is a solution of given DE

(\frac{dy}{dt})^2=sin^2t

7 0
3 years ago
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