Suppose you are determining the growth rate of two species of plants. Species A is 12 cm tall and grows 2 cm per month. Species B is 10 cm tall and grows 3 cm per month. Which system of equations models the height of each species H(m) as a function of months m.

H(m ) = 12 + 2m
H(m ) = 3 + 10m
H(m ) = 2 + 12m
H(m ) = 3 + 10m
H(m ) = 12 + 2m
H(m ) = 10 + 3m
H(m ) = 2 + 12m
H(m ) = 10 + 3m

Answers

Answer 1
First one has initial height of 12 cm and on that inicial height we add 2cm each month which can be written as 2m + 12

Second one has initial height of 10 cm and grows 3cm per month which can be written as 3m + 10

Now we just have to find those expressions in offered equations to find answer.

We can see that system of equations is:
H(m) = 12 + 2m
H(m) = 10 + 3m

or third pair.

Related Questions

Elena has 12 pieces of banana bread. She gives an equal amount of banana bread to five friends. How many pieces of banana bread does she give each friend?

Answers

Answer:

[tex]2 \frac{2}{5}[/tex]

Step-by-step explanation:

Try dividing 12 and 5. What a surprise it doesn't work. 5×2=10. 12÷5=10 r2. r2=[tex]\frac{2}{5}[/tex]. 2+[tex]\frac{2}{5}[/tex]=[tex]2 \frac{2}{5}[/tex].

help me plz
The measure of an angle formed by ____________ is half the sum of the measures of the intercepted arcs.

A. intersecting radii
B. intersecting chords
C. a chord and a radius

Answers

The answer is B :)
HOPE THIS HELP!!

Answer: B. intersecting chords


Step-by-step explanation:

The intercepted arc is the arc which is inside the inscribed angle and whose endpoints are on the angle.

When two chords intersect then inscribed angles are formed.

We know that the inscribed angle theorem tells that the measure of an inscribed angle is half the measure of its intercepted arc.

The measure of an angle formed by intersecting chords is half the sum of the measures of the intercepted arcs.



The sum of two numbers is 66 and the difference is 12 . What are the numbers?

Answers

66-54=12. So, 54+12 = 66.
one of them is 27 and the other is 39

If a(x) and b(x) are linear functions with one variable, which of the following expressions produces a quadratic function?
(ab)(x)
(a/b)(x)
(a – b)(x)
(a + b)(x)

Answers

I hope this helps you

Answer:

Option (a) is correct.

a(x)b(x) = (ab)(x)

To produce a quadratic equation the two linear equation must be multiply.

Step-by-step explanation:

Given :  a(x) and b(x) are linear functions with one variable.

We have to choose from the given option the correct expression that will produce a quadratic equation.

Quadratic equation is an equation which is in the form of [tex]ax^2+bx+c[/tex] where [tex]a\neq0[/tex]

Since given a(x) and b(x)  are linear equation in one variables so to get square term we must multiply the two linear equations.

Let a(x)=3x+1

and b(x)= 8x+1

then when we multiply we get,

[tex]a(x)\times b(x)=(3x+1)\times (8x+1)=24x^2+11x+1[/tex]

Thus, To produce a quadratic equation the two linear equation must be multiply.

Thus, a(x)b(x) = (ab)(x) is correct.

Option (a) is correct.

What is the product for 38 and 40 in math?

Answers

38 * 40 = 1520

hope that helps:))
Product of 38 & 40 is equal to 1520

So, your answer is 1520

Add 21 1/2 in. 10 9/16 in.

Answers

First convert 1/2 into 8/16 then add your fractions. You should get 17/16 then make it a mixed number. 1 & 1/16. Now add 21+10+1 and you should get 32. So your awnser is 32 1/16 in.
Answer:

The addition is:

      [tex]=\dfrac{513}{16}\ in.[/tex] or   [tex]32\frac{1}{16}\ in.[/tex]

Step-by-step explanation:

We are asked to add the expression :

[tex]21\frac{1}{2}\ in.[/tex] and [tex]10\frac{9}{16}\ in.[/tex]

both the numbers are in mixed fraction .

We will first change both the numbers into simple fraction as follows:

[tex]21\frac{1}{2}=\dfrac{21\times 2+1}{2}\\\\\\21\frac{1}{2}=\dfrac{43}{2}\ in.[/tex]

and

[tex]10\frac{9}{16}=\dfrac{10\times 16+9}{16}\\\\10\frac{9}{16}=\dfrac{169}{16}\ in.[/tex]

Hence, the addition of the two numbers is calculated as follows:

[tex]\dfrac{43}{2}+\dfrac{169}{16}\\\\\\=\dfrac{43\times 8+169}{16}[/tex]

( Since, on taking lcm of 2 and 16)

Hence, we get:

[tex]=\dfrac{513}{16}\ in.[/tex]

which in mixed fraction is:

          [tex]32\frac{1}{16}\ in.[/tex]

What is 125 in exponential form?

Answers

Number = 125
Here, ∛125 = 5
so, in exponential form, it would be: 5³

So, your final answer is 5³

Hope this helps!

Decrease £248 by 30 percent

Answers

173.60 pounds in english pounds
100-30=70
decreased by 30% means 70% of it

70% of 248=0.7 times 248=173.6

it is £173.6

In the situation, simple interest is calculated yearly. How much interest was earned?
Principal: $12,000; Time: 3 years; Interest rate: 15%; Interest: ?
A$1800
B$5400
C$12,000
D$17,400
E$36,000

Answers

B is the answer, 5,400 is the interest
12,000×3×0.15 =5,400 ......... ........

ln 1/sqrt e = -1/2 write in exponential form pls show steps ln 1/sqrt e = -1/2 write in exponential form pls show steps

Answers

Here is the answer to the given expression above.
According to what I have researched,
1/sqrt e is e^-1/2, or conversely, 1/sqrt a is a^-1/n.
1a≡a−1 and
√a ≡ a^1/2

therefore: 1/√a = a^−1/2

Whereas:
n√a ≡ a^1/n and thus: 1/n√a = a −1/n
Hope this the answer that you are looking for.
Thanks for posting your question.

What are the x- and y- intercepts for the line y−3=3(x+5)



Enter your answers in the boxes. please help me

Answers

The y intercept is found when you substitute a zero for x. y-3=3(0+5) would find the y intercept. when you solve that you find that the y intercept is 18. The x intercept is the other way around, and when you do it, you find out that the x intercept is -6.

The list of a certain tool is x dollars. In store A the original selling price of the tool was $50 less than the list price, and the current selling price is 10% less than the original selling price. In store B the original selling price of the tool was 10% less than the list price, and the current selling price is $50 less than the original selling price.

A) Quality A is greater
B) Quality B is greater
C) The two quantities are equal

Answers

In my opinion quality of A is greater.

To compare the selling prices in store A and store B for the tool described:

Let's denote the list price of the tool as x dollars.

In Store A:

- Original selling price = List price - $50

- Current selling price = 90% of the original selling price

In Store B:

- Original selling price = 90% of the list price

- Current selling price = Original selling price - $50

Now, we can calculate the selling prices for both stores and compare:

For Store A:

Original selling price in Store A = x - 50

Current selling price in Store A = 0.9(x - 50)

For Store B:

Original selling price in Store B = 0.9x

Current selling price in Store B = 0.9x - 50

To determine which quantity is greater, we need to compare the expressions for the current selling prices in both stores. We will simplify the expressions to make the comparison easier.

Store A:

0.9(x - 50) = 0.9x - 45

Store B:

0.9x - 50

Comparing the simplified expressions, we see that:

0.9x - 45 is greater than 0.9x - 50

Therefore, Store A has a greater current selling price for the tool compared to Store B.

So, the correct answer is:

A) Quality A is greater.

Identify the lateral area and surface area of a regular triangular pyramid with base edge length 14 cm and slant height 15 cm.

I already have the lateral area figured out (315), I don't understand how to get the surface area. XP I always get it wrong.

Answers

Answer:

315 cm<2 399.9 cm<2

Step-by-step explanation:

Answer:

L = 315 cm2 ; S = 399.9 cm2

Step-by-step explanation:

Lucky guess on my quiz!

How do i find the area between the two curves

Answers

A=22/10

A=integral(a,b) [f(x)-g(x)]dx

Since the function is even (the function is mirrored over the y axis) we can evaluate the integral from 0 to 1 and then multiply our answer by 2 since we have the same area on each side of the y axis.

We get A=2*int.(0, 1)[(x^2)-(-2x^4)]dx

Now we can integrate by term.

2*[int.(0, 1)[x^2]dx+int(0, 1)[2x^4]dx]

Now factor out constants.

2*[int(0,1)[x^2]dx+2int(0,1)[x^4]dx]

Now integrate.

2*[(x^3/3)|(0,1) + 2*(x^5/5)|(0,1)]

Now solve.

2*[(1/3)+2*(1/5)]

=22/10

Hope you can decipher what I wrote!

Final answer:

To find the area between two curves, calculate the definite integral of the difference between the two functions over the interval of interest.

Explanation:

To find the area between two curves, you need to calculate the definite integral of the difference between the two functions over the interval of interest. Let's say the two curves are f(x) and g(x), and you want to find the area between them from x = a to x = b. You can write the integral as follows:

Area = ∫(f(x) - g(x)) dx from a to b

Then you can evaluate this integral using integration techniques, such as u-substitution or integration by parts, to find the area between the two curves.

24 students will be divided into 4 equal-sized teams. Each student will count off, beginning with the number 1 as the first team. If Nate is the 11th student to count off, to which team number will he be assigned?

Answers

1    2    3    4
5    6    7    8
9    10  11  12

team 3

How to solve -13=5(1 4m)-2m?

Answers

First, you would multiply: -13 = 70m - 2m. Then, you subtract the like terms, which would be 70m - 2m: -13 = 68m. You are looking for what m is, so you would divide 68 on both sides: m = - 13 / 68. In math, people would usually like fractions more than decimals, but if you are looking for the decimal number, it would be m ≈ - 0.19.

Name an angle complementary to A B C D

Answers

An angle complementary to angle BOC is angle AOE. Complementary angles total to 90 degrees.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

Discuss the continuity of the cosine, cosecant, secant and cotangent functions,
...?

Answers

Final answer:

The cosine, cosecant, secant, and cotangent functions are all trigonometric functions. They are continuous everywhere except where the denominator is zero.

Explanation:

The cosine, cosecant, secant, and cotangent functions are all trigonometric functions. These functions are defined for all real numbers except when the denominator becomes zero. Therefore, they are continuous everywhere except where the denominator is zero.

For example, the cosine function, denoted as cos(x), is continuous for all real numbers. It has a periodic nature and oscillates between -1 and 1.

Similarly, the cosecant function, denoted as csc(x), is continuous everywhere except at the points where sin(x) is equal to zero. The secant function, denoted as sec(x), is continuous everywhere except at the points where cos(x) is equal to zero. The cotangent function, denoted as cot(x), is continuous everywhere except at the points where tan(x) is equal to zero.

Solve this equation
p+2=-6

Answers

P+2=-6
minus 2 on both sides
P=-8
^^^is your answer, hope this helps!
You can do -6-2 and get -8
To double check substitute -8 to p and get -6

Translate the phrase into a math expression.twenty divided by the sum of 4 and 1.

Answers

The answer is
20/(4+1) = 20/5 = 4

The following scatter plot shows the billions of dollars spent by travelers in the United States since 1993.

Write an equation for the line of best fit and then predict how much money travelers will spend in 2008.

A.y=2x+380 travelers will spend about $410 billion in the year 2008.

B.y=2x+320 travelers will spend about $350 billion in the year 2008.

C.y=20x+320 travelers will spend about $620 billion in the year 2008.

D.y=20x+380 travelers will spend about $680 billion in the year 2008.

Answers

Answer:

C

Step-by-step explanation:

Name the ordered pair that point b represents in the graph

Answers

(x,y) (2,1)
the x variable is right two and the y variable is up one 

Shannon has a recipe for fruit punch that makes 12 quarts of punch. how many 3/4 quart servings will the recipe make

Answers

The answer is 16 - 3/4 quarts servings.

Juanita is 15 years old and her brother is 5. what is the ratio of juanita's age to her brother's age?

Answers

15:5 and you can also say it as 3:1

Answer:  The required ratio is 3 : 1.

Step-by-step explanation:  Given that Juanita is 15 years old and her brother is 5 years old.

We are to find the ratio of Juanita's age to her brother's age.

Let x and y represents the ages of Juanita and her brother respectively in years.

Then, according to the given information, we have

[tex]x=15,\\\\y=5.[/tex]

Therefore, the ratio of Juanita's age to her brother's age is given by

[tex]x:y\\\\=\dfrac{x}{y}\\\\\\=\dfrac{15}{5}\\\\\\=\dfrac{3}{1}\\\\=3:1.[/tex]

Thus, the required ratio is 3 : 1.

Which of the symbols correctly relates the two numbers below? Check all that apply.

55?35

A. less than or equal to
B. more than or equal to
C.<
D. not equal to
E.=
F.>

Answers

Based on the given numbers above, the answer would be options F and D. The symbols that correctly relates the two numbers above would be the greater than symbol and not equal to symbol. Obviously, we can see that number 55 has a greater value than 35 so these numbers cannot be equal. Hope this answer helps.

Answer:

>

Step-by-step explanation:

Given : [tex]55?35[/tex]

To Find: Which of the symbols correctly relates the two numbers below?

Solution:

We are given that [tex]55?35[/tex]

Since we know that 55 is greater than 35 .

So, sign of greater than (>)should replace ?

So, [tex]55>35[/tex]

Hence Option F is correct.

So, [tex]55?35[/tex] = [tex]55>35[/tex]

Option F : >

How much of the circle is shaded? Write your answer as a fraction in simplest form.

Answers

I hope this helps you

Answer:

[tex]13/28[/tex]

Step-by-step explanation:

Let

x-----> the shaded area

we know that

[tex]x+\frac{1}{4}+\frac{2}{7}=1[/tex]

Because the complete circle represent the [tex]100\%[/tex]

and

[tex]100\%=100/100=1[/tex]

solve for x

Multiply by [tex]28[/tex] both sides

[tex]28x+7+8=28[/tex]

[tex]28x=28-15[/tex]

[tex]28x=13[/tex]

Divide by [tex]28[/tex] both sides

[tex]x=13/28[/tex] ----> fraction irreducible



How do you write 1/30 in decimal form?

Answers

Converting the fraction 1/30 into a decimal is very easy. 

To get 1/30 converted to decimal, you simply divide 1 by 30.
1/30 as a decimal is:

0.033333333

1/30 in decimal form can be rounded to 0.033.

To convert the fraction 1/30 into decimal form, you simply divide the numerator (1) by the denominator (30). This can be done using a calculator or by manual division.

1 ÷ 30 = 0.03333... (repeating)

So, 1/30 as a decimal is approximately 0.033 when rounded to three decimal places.

Here are the steps to understand it better:

Set up the division: 1 divided by 30.Perform the division: 1.000... ÷ 30 = 0.03333... (the 3s repeat indefinitely).Round the result if needed for simplification.

If CDFG is a kite, find the measure of Angle D.

a. 124
b. 120
c. 118
d. 122

Answers

Well, according to the attached picture,  angle D is equal to angle G, which means that :
 [tex]G + D + C+ F = 360 D + D + C + F = 360 2D + C+ F = 360[/tex]
After this, you can easily plug and solve the ones you have, and the answer will be 244/2 =
122.
So, the correct option is D
Final answer:

Without additional details about the kite CDFG, such as angle measures or side lengths, it is impossible to provide an exact measure for Angle D.

Explanation:

The question asks to find the measure of angle D in a kite named CDFG. Without additional information such as angle measures or side lengths, it is impossible to determine the exact measure of Angle D. However, we know in a kite, there are two pairs of adjacent sides that are equal, and one pair of opposite angles (the angles between the unequal sides) are equal. Typically, the diagonals of a kite are perpendicular, and one of the diagonals bisects the other. This information still does not provide enough context to solve for the measure of angle D without more specific details about the lengths of the sides or measures of other angles.

Solve the equation?

13 +w/7 = –18 ...?

Answers

The solution of the equation [tex]13+\frac{w}{7}=-18[/tex] is [tex]\boxed{w=-217}[/tex].

Further explanation:

Given:

The equation is [tex]13+\frac{w}{7}=-18[/tex].

Calculation:

Method (1)

The given equation is as follows:

[tex]\boxed{13+\dfrac{w}{7}=-18}[/tex]  

The above equation is a linear equation that has one degree.

The equation with one variable can be solved by moving all terms in to the one side and simplify the equation for the value of variable.

Subtract [tex]13[/tex] on both sides in the equation (1) to obtain the value of [tex]w[/tex] as follows,

[tex]\begin{aligned}13+\dfrac{w}{7}-13&=-18-13\\13-13+\dfrac{w}{7}&=-31\\ \dfrac{w}{7}&=-31\end{aligned}[/tex]  

Now, multiply [tex]7[/tex] on both sides of the above equation as,

[tex]\begin{aligned}7\times \dfrac{w}{7}&=-31\times7\\w&=-217\end{aligned}[/tex]

Therefore, the value of [tex]w[/tex] is [tex]-217[/tex].

Method (2)

To obtain the solution of the equation (1), take least common multiple of the denominator of the left hand side of the equation as,

[tex]\begin{aligned}13+\dfrac{w}{7}&=-18\\ \dfrac{(13\times7)+w}{7}&=-18\\ \dfrac{91+w}{7}&=-18\end{aligned}[/tex]  

Now, multiply by [tex]7[/tex] on both sides of the above equation to obtain the value of [tex]w[/tex] as follows,

[tex]\begin{aligned}7\times\left(\dfrac{91+w}{7}\right)&=7\times(-18)\\91+w&=-126\end{aligned}[/tex]

Subtract [tex]91[/tex] on both sides of the above equation as follows,

[tex]\begin{aligned}91+w-91&=-126-91\\w&=-217\end{aligned}[/tex]

Therefore, the value of [tex]w[/tex] is [tex]-217[/tex].

Thus,  the solution of the equation [tex]13+\dfrac{w}{7}=-18[/tex] is [tex]\boxed{w=-217}[/tex].

Learn more:

1. Learn more about equations https://brainly.com/question/1473992

2. A problem on line https://brainly.com/question/1575090

3. A problem on function https://brainly.com/question/1435353

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Linear equations

Keywords: Equation, 13+(w/7)=-18, variables, subtract, linear equations, one degree, multiply least common multiple, linear equation, mathematics.

How do I write an equation for: 7, 7.5, 7.75, 7.875, ...? Do I use the geometric sequence formula or recursion formula? Please help! ...?

Answers

The solution to the problem is as follows:

Take the differences to look for a pattern. 


7.875 - 7.75 = 0.125 

7.75 - 7.5 = 0.25 

7.5 - 7 = 0.50 

It should be apparent that it is half the previous difference so 

next in sequence will be 7.875 + (0.125 / 2) which is 7.9375


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