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Zina [86]
3 years ago
9

Suppose that the amount of algae in a pond doubles every 6 hours. if the pond initially contains 50 pounds of algae, how much al

gae will be in the pond after 18 hours?
A. 400
B. 10,800
C. 300
D. 600
Mathematics
1 answer:
bulgar [2K]3 years ago
5 0

Answer:

A. 400

Step-by-step explanation:

initially have 50 pounds after 6 hours, doubles to 100. 6 (12 total) more hours 100 doubles to 200. after another 6 (18 hours) 200 doubles to 400.

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Sal is making bracelets for a fundraiser.he uses 6 inches of yarn per bracelets how many bracelets can sal make with 5 feet of y
kodGreya [7K]

Answer:-Sal can make 10 bracelets with 5 feet of yarn.


Explanation:-

We know that 1 foot = 12 inches

⇒1 inch=\frac{1}{12}\ foot

Yarn used for 1 bracelet = 6 inches=\frac{6}{12}\ feet=0.5 foot

Number of bracelets made in 5 feet=\frac{5}{0.5}=10

therefore, Sal can make 10 bracelets with 5 feet of yarn.

4 0
3 years ago
Read 2 more answers
Identify the quadratic function from the four functions
Alchen [17]

Quadratic Function is a function that takes the equation form of:

\large \boxed{y = a {x}^{2}  + bx + c}

where a ≠ 0. However the form of Quadratic Function above can also be called "standard form" or general form because it is commonly used when defining the function. Quadratic Functions also have other two forms which are intercept form and vertex form.

<u>Vertex</u><u> </u><u>Form</u>

\large \boxed{y = a {(x - h)}^{2}  + k}

<u>Intercept</u><u> </u><u>Form</u>

\large \boxed{y = (ax - b)(bx - c)}

The intercept form can be expressed as y = (x-a)(x-b) depending on the other perspective.

If you look at all four functions, you will notice that only two of functions have the second degree as highest degree while the third function has third degree as highest and fourth function has fourth degree. Recall the definition of Quadratic Function above that the highest degree of Quadratic Function can only be second degree (squared, x² as example). Therefore we can rule out the x³ and -2x⁴ away.

So our only quadratic functions are:

\large{ \begin{cases}y =  -  {x}^{2}  - 4 \\ y =  {(x - 1)}^{2}  - 7 \end{cases}}

As for the f(x) = -x²-4. The equation is in standard form which is y = ax²+bx+c. The second equation is in vertex form which is y = a(x-h)²+k.

Answer

  • The only quadratic functions are f(x) = -x²-4 and f(x) = (x-1)²-7
  • -x²-4 is in standard form.
  • (x-1)²-7 is in vertex form.

Hope this helps and let me know if you have any doubts.

<em>Als</em><em>o</em><em> </em><em>let</em><em> </em><em>me</em><em> </em><em>know</em><em> </em><em>if</em><em> </em><em>you</em><em> </em><em>want</em><em> </em><em>me </em><em>t</em><em>o</em><em> </em><em>convert</em><em> </em><em>the</em><em> </em><em>function</em><em> </em><em>into</em><em> </em><em>other</em><em> </em><em>form</em><em>.</em><em> </em><em>For</em><em> </em><em>ex</em><em>.</em><em> </em><em>convert</em><em> </em><em>the</em><em> </em><em>vertex</em><em> </em><em>form</em><em> </em><em>to</em><em> </em><em>standard</em><em> </em><em>form</em><em>.</em><em> </em>

Happy Learning and Good Luck with your assignment!

4 0
3 years ago
How many solutions does the equation have? 7x +3 - x=3(1 + 2x) (A) 0 (B) 1. (C) infinitely many​
tekilochka [14]

Answer:

C) Infinitely many

Step-by-step explanation:

7x+3-x=3(1+2x)

6x+3=3+6x

Subtract 3 from both sides

6x = 6x

Infinitely many solutions

5 0
3 years ago
Please help with 14 and 15
olchik [2.2K]

n - a number

14. Nine more than the square of a number: n² + 9.

15. Twice the difference between a number and ten: 2(n - 10)

6 0
3 years ago
vertices of parallelogram ABCD are A(2, 0), B(4, 3), C(3, 1). How many possibilities are there for the position of the fourth ve
nordsb [41]

Answer:

1 possibility is there for the the position of the fourth vertex.

7 0
3 years ago
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