Question 1 (Essay Worth 10 points)
(03.03 MC)
A marine biologist is studying the growth of a particular species of fish. She writes the following equation to show the length of the fish, f(m), in cm, after m months:
f(m) = 4(1.08)m
Part A: When the marine biologist concluded her study, the length of the fish was approximately 6.86 cm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(m) represent? (2 points)
Part C: What is the average rate of change of the function f(m) from m = 3 to m = 7, and what does it represent? (4 points)
Answer: HEre finnaly this is right..
Part A: When the marine biologist concluded her study, the length of the fish was approximately 6.86 cm. What is a reasonable domain to plot the growth function?
0≤x≤8
Part B: What does the y-intercept of the graph of the function f(m) represent?
the length at the start of the study
Part C: What is the average rate of change of the function f(m) from m = 3 to m = 7, and what does it represent?
6.86−5.047−3=1.82
it represents the average growth in length of the fish from the 3rd month to the 7th month of the study
Step-by-step explanation:
Please help me
This is a 45-45-90 triangle.
What is the measure of x?
X
х
X
= V[?]
Answer:
x = [tex]\sqrt{3}[/tex]
Step-by-step explanation:
the ratio of side to hypotenuse in a right triangle is 1 : [tex]\sqrt{2}[/tex]
in this problem we can use 'x' in place of 1 and [tex]\sqrt{6}[/tex] in place of [tex]\sqrt{2}[/tex] to create a proportion like this:
1/x = [tex]\sqrt{2}[/tex]/[tex]\sqrt{6}[/tex]
cross-multiply to get:
[tex]\sqrt{2}[/tex]·x = [tex]\sqrt{6}[/tex]
x = [tex]\frac{\sqrt{6}}{\sqrt{2}}[/tex]
x = [tex]\sqrt{3}[/tex]
Can somebody please help me?
Which number best represents a positive charge of 1,640 volts? A.
-1,540
B.
-1,640
C.
1,640
D.
1,540
Answer:
Hello there! I think the answer to your question
C
Because a "A positive voltage is a voltage that pushes electrons out of a battery."
Please help meh i dont know the answer
Answer:
3 inches
Step-by-step explanation: An equilateral triangle means all 3 sides are the same length.
A square also have the same length for all 4 sides.
So each side of the square is 6cm, to find the perimeter you do 6*4=24.
then divide the square's perimeter by 3 since triangle have 3 sides. 24/3=8
so each side of the triangle will be 8cm
F(-5)=7+|-5|=7+5=12
HOW DO I SOLVE THIS?? HELPASAP
a) Work out the mean income to 2 DP.
b) Deva was given a large bonus for 30 years service.
Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?
Answer:
£9500 + £25000 + £13250 + £12750 + £29500 + £11000 = £101000
£101000 divided by 6 = £16833.33333
rounded to 2dp. = £16833.33
Given g(x)=x2-3x+8 evaluate
A) g(4). B) g(-5)
Answer:
g(4) = 12
g(-5) = 48
Step-by-step explanation:
I will assume that you meant g(x)=x^2 - 3x + 8,
A) To find g(4), substitute 4 for each instance of 'x' in this function:
g(4) = (4)^2 - 3(4) + 8, or
g(4) = 16 - 12 + 8, or
g(4) = 12
Similarly, g(-5) = (-5)^2 - 3(-5) + 8 = 25 + 15 + 8 = 48
g(-5) = 48
Answer:
A) 12
B) 18
Step-by-step explanation:
A) 4^2 - 3(4) + 8
16 - 12 + 8 = 12
B) -5^2 - 3(-5) + 8
25 + 15 + 8 = 48
A man deposited $80,000.00 in a bank at 12% compound interest per annum. How much did the man have in the bank at the second year
The amount that the man have in his bank at the second year is $100,352.
Using this formula
A=P(1+R÷100)^n
Where:
A=Amount
P=Principal=$80,000
R=Rate=12%
n=Number of years=2 years
Let plug in the formula
A=$80,000(1+12÷100)^2
A=$80,000(1+0.12)^2
A=$80,000(1.12)^2
A=$80,000(1.2544)
A=$100,352
Inconclusion the amount that the man have in his bank at the second year is $100,352.
Learn more here:
https://brainly.com/question/25213872
A choir teacher is dividing 6 sopranos and 20 altos into singing groups. He wants each group to have the same combination of sopranos and altos, with no singers left over. What is the greatest number of groups he can make?
Evaluate 4.56 × 3.6/ 0.12 and leave you answer in standard form.
Answer:
136.8
Step-by-step explanation:
As per DMAS rule, we can divide first or multiply first. I would choose divide first. Then:
4.56 x 3.6/0.12
= 4.56 x 30.
Since I divided first, the next step is to multiply.
4.56 x 30
= 136.8
Since there is no addition or subtraction happening next, the process ends here and the answer is 136.8.
Kind requests:
Please give me brainliest if this was helpful.
The expression value [tex]4.56 \times \frac{ 3.6}{0.12}[/tex] in standard form is 136.8=1.368×10².
To evaluate the expression [tex]4.56 \times \frac{ 3.6}{0.12}.[/tex]
Find the multiplication of the numerator with 4.56 and then divide it by 0.12.
Perform the multiplication first:
4.56×3.6 = 16.416
Now we divide the result by 0.12:
[tex]\frac{16.416}{0.12} = 136.8[/tex]
To express the answer in standard form, we rewrite it as a number multiplied by a power of 10.
In this case, we move the decimal point two places to the right to obtain a whole number:
136.8=1.368×10²
Therefore, the answer to the expression [tex]4.56 \times \frac{ 3.6}{0.12}[/tex] in standard form is 136.8=1.368×10²
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ4
1 1/3 of 15
[tex]\frac{x}{y}[/tex]
Answer:
[tex]11 \div 3 \times 15 \\ 11 \div 1 \times 5 \\ 11 \times 5 \\ = 55[/tex]
----
an
- 11 + 5(n-1)
Answer:
-3.2
Step-by-step explanation:
angles a and b in both angles sets are ?
Answer:
1) b = 60°
2) a = 90°, b = 90°
Step-by-step explanation:
1) Angles on a straight line add to 180° so 180 - 120 is 60°
2) The two lines are perpendicular (meet at right angles) so both angles are 90°
Hope this helps!
PLEASE HELP!!!
5. Which combination of segment lengths
can be used to construct a triangle?
A. 8 cm, 12 cm, 24 cm
B. 15 cm, 38 cm, 49 cm
C. 34 cm, 63 cm, 97 cm
D. 50 cm, 55 cm, 136 cm
Answer:
c
Step-by-step explanation:
can someone please help
Answer:
the slope is -8
Step-by-step explanation:
Which pairs of rectangles are similar polygons?
Select Similar or Not Similar for each pair of rectangles
Answer:
Second and fourth pairs of rectangle are similar.
help! hsjsjsjsjshssjsjshsshhesh
Answer:
5
Step-by-step explanation:
a) Se simplifica la b) Se simplifica
potencia, en este la potencia, en
caso 5 este caso 4.
Step-by-step explanation:
Espero que te sirva
Translate the following phrase into an algebraic expression. Use the variable b to represent the unknown quantity.
The number of soda bottles split 5 ways
Answer:
s/5=b
Step-by-step explanation:
The required expression is n/5 = b
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given:
We have the variable b to represent the unknown quantity.
The expression,
the number of soda bottles split 5 ways.
That means,
Let n be the number of soda bottles.
So,
using division operation,
n / 5 = b
Therefore, the expression is n/5 = b.
To learn more about the expression;
brainly.com/question/24242989
#SPJ1
Can someone pls help em brainliest
Answer:
9
Step-by-step explanation:
I've attached a picture, and I hope it's clear and understandable.
Answer: k=9
Step-by-step explanation:
Parallel lines have the same slope. y=mx+b, where m is the slope. The reference line, y = 6x-5 has a slope of 6. The new line must therefore also have a slope of 6. The slope is the Rise/Run, the change in y for a change in x.
The two points on the new line are (10,2k) and (13,4k). Rise over run for this new line is (4k-2k)/(13-10) or 2k/3. This must be equal to 6,
2k/3 = 6
2k = 18
k = 9
20. Write the following equation in slop intercept form. -4x-3y=-18.
21. Write the following equation in slope intercept form. -2x+3y=21
please show your work and thank you.
Step-by-step explanation:
slope intercept form y=mx+b
you just need to move the letters and numbers around to match this.
-4x-3y=-18
add 4x to both sides of the equal sign
-3y =4x-18
divide by negative 3 on both sides
y = -4/3x + 6
21. -2x+3y=21
add 2x to both sides
3y = 2x + 21
divide by 3 on both sides
y = 2/3x +7
So, the question on my test was a pair of in line skates is on sale for 90. if this price represents a 9% discount from the original price, what is the original price to the nearest cent. My teacher got 98.90, but i got 98.10. which is mathematically correct?
Step-by-step explanation:
I got 98.1, not sure how she got her answer
x-7= -3(x+1) over 5
What is x?
can someone simplify this question? 6+6x ≤ 7x+10 ≤ 10-5x
Answer:
It is - 4 ≤ x ≤ 0
Step-by-step explanation:
Natasha is making curtains. Each set of curtains uses 8 yards of fabric. She has 61 yards of fabric. How much fabric will be left over after she makes as many sets of curtains as she can?
Answer: 5 yards will be left over.
Step-by-step explanation:
8 * 7 = 56
so then you would minus 56 from 61 which equals 5. Sorry if that's a weird way to get it but...
Someone pls help me I will make you brain
what is 5/4÷1/10? because i don't know what it is
[tex]\bold{Hello~!}[/tex]
What is [tex]^5^/^4[/tex] ÷ [tex]^1^/^1^0~^?[/tex]
✧ ANSWER : [tex]0.125[/tex]☆ EXPLANATION :[tex]^5^/^4[/tex] ÷ [tex]^1^/^1^0~^?[/tex]
[tex]\sf{Divide~the~numbers:}~5[/tex] ÷ [tex]\sf{4 = 1.25[/tex]
[tex]\sf{= 1.25}[/tex] ÷ [tex]\sf{~1}[/tex] ÷ [tex]\sf{10}[/tex]
[tex]\sf{Divide~the~numbers:}~1.25[/tex] ÷ [tex]\sf{~1}[/tex] [tex]\sf{ = 1.25}[/tex]
[tex]\sf{= 1.25}[/tex] ÷ [tex]\sf{10}[/tex]
[tex]\sf{Divide~the~numbers:~1.25[/tex] ÷ [tex]\sf{10}[/tex] [tex]\sf{= 0.125}[/tex]
[tex]\sf{ 0.125}[/tex]
Hope It Helps!
#LearnWithBrainly
[tex]\underline{Answer~:}[/tex]
[tex]\sf{Miwsow}[/tex]
Please, Follow me. and like my answers ! And, Brainliest is Appreciate !
larger two degit number is --------
Answer:
99
Explanation:
The largest 2-digit number is 99 as the next number is 100 which is a 3-digit number
B is the midpoint of AC. AB = 5x-7, BC = 3x - 5. Find the value of x.
А
B
C
Answer:
the value of x is 1......
as we know B is the midpoint....
then,
5x-7=3x-5
5x-3x=-5+7
2x=2
x=2/2
x=1
Brandon enters bike races 8 1/2 miles every 1/2 hour.
Find the missing side of each triangle. Leave your answer in simplest radical form.
(Please show ur work)
Answer:
should be, must be, gotta be it
Step-by-step explanation:
13² = 7² + x²
169 = 49 + x
x² = 169 - 49
x² = 120
x = [tex]\sqrt{120}[/tex] (do this stpd calculus)
x = 2[tex]\sqrt{30}[/tex]
________
[tex] \: [/tex]
x² = 13² - 7²
x² = 169 - 149
x² = 120
x = √120
x ≈ 2√30m