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3 years ago

13

Katie loves to read! In the last few months she has read 3 graphic novels, 2 mysteries, 4 sci-fi novels, and 21comic books. What

is the ratio of sci-fi novels to comic books?

1 answer:

Leviafan [203]3 years ago

8 0

Answer:

4 : 20

Step-by-step explanation:

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A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the

Lelu [443]

Answer:

The reasonable domain to plot the growth function is the interval [0,9]

$0\ days\leq d\leq 9\ days$

Step-by-step explanation:

In this problem we have a exponential function of the form

$f(d)=a(b^d)$

where

f(d) is the radius of the algae in mm

d is the number of days

a is the initial value or y-intercept

b is the base

r is the rate of growth

b=1+r

we have

$a=9\ mm\\b=1.04\\r=1.04-1=0.04=4\%$

we have

$f(d)=9(1.04^d)$

For f(d)=12.81 mm

substitute in the function and solve for d

$12.81=9(1.04^d)$

$(12.81/9)=(1.04^d)$

Apply log both sides

$log(12.81/9)=log(1.04^d)$

$log(12.81/9)=(d)log(1.04)$

$d=log(12.81/9)/log(1.04)$

$d=9\ days$

therefore

The reasonable domain to plot the growth function is the interval [0,9]

$0\ days\leq d\leq 9\ days$

4 0

4 years ago

Find n for the sequence for which a1 = 30, d = -4 and sn= -210.

REY [17]

$n\in\mathbb{N^+}$

The formula of the sum of an arithmetic sequence:

$S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n$

We have:

$a_1=30;\ d=-4;\ S_n=-210$

substitute:

$\dfrac{2\cdot30+(n-1)(-4)}{2}\cdot n=-210\ \ \ |\cdot2\\\\(60-4n+4)n=-420\\\\(64-4n)n=-420\\\\64n-4n^2=-420\ \ \ |:(-4)\\\\n^2-16n=105\ \ \ |-105\\\\n^2-16n-105=0\\\\n^2+5n-21n-105=0\\\\n(n+5)-21(n+5)=0\\\\(n+5)(n-21)+0\iff n+5=0\ \vee\ n-21=0\\\\n=-5\notin\mathbb{N^+}\ \vee\ n=21\in\mathbb{N^+}$

Answer: b. 21

3 0

4 years ago

Read 2 more answers

A way to write numbers by using the digits 0-9 with each digit having a place value

kozerog [31]

It 0 maybe this and you can change it when you see it wrong because I'm not seriously with this answer so you can try and work hard to use correct answer thank you

8 0

3 years ago

Please help me out! question is listed below! i will mark brainliest!

borishaifa [10]

Answer: First one: C

Step-by-step explanation: A does not work since angle H is 180 degrees. B is not true because EG and EH are not congruent. D is not the answer because the Angle-Angle Theorem is for similar triangles, not congruent triangles.

3 0

3 years ago

Which is a solution to the equation a number divided by 7 is at least 4? 26, 27, 28, 29

Nastasia [14]

Answer:

28 and 29

Step-by-step explanation:

the equation is x÷7≤4

26÷7= 3.7 ≠ x÷7≤4

27÷7= 3.8 ≠ x÷7≤4

28÷7=4

29÷7= 4.14=x÷7≤4

5 0

2 years ago