Answer:
initial population : 89
after 9 years : 676
Step-by-step explanation:
no need for panic. this is just plain calculator mechanics. yes, we need to do some more complicated typing and use e, but it is still only typing.
the initial population is P(0). or t = 0.
simply when there were 0 years since the fish were added.
that is simple.
we get (as -0.42×0 = 0)
800 / (1 + 8e⁰) = 800 / (1+8×1) = 800 / 9 ≈ 89
now, after 9 years we have to calculate P(9). or t=9.
let's pre-calculate : -0.42×9 = -3.78
e to the power of -3.78 = 0.022822691...
8 times this is 0.182581531...
and plus 1 is 1.182581531...
800 / 1.182581531... = 676.486127 ≈ 676
Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. 4/3 divided 7/4
Answer:
so we have 4/3 divided by 7/4
= 4/3 * 4/7
= 4*4/3*7
= 16/21
Step-by-step explanation:
answer from gauth math
Order the numbers from least to greatest
Answer:
B
Step-by-step explanation:
It just is
Is quadrilateral DEFG a parallelogram? Why or why not?
Question 2 options:
A)
Yes, because adjacent angles aren't supplementary.
B)
No, because adjacent angles aren't congruent.
C)
There isn't enough information.
D)
Yes, because opposite angles are congruent.
Answer:
D ig?
Step-by-step explanation:
Because opposite angles are equal in parallelogram
Find the coordinates of the point 7/10 of the way from A to B A -3,-7 B 11,4
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Answer:
(6.8, 0.7)
Step-by-step explanation:
That point is ...
A + (7/10)(B -A)
= (-3, -7) +(7/10)(11 -(-3), 4 -(-7)) = (-3, -7) +7/10(14, 11)
= (-3, -7) +(9.8, 7.7) = (6.8, 0.7)
The point 7/10 from A to B is (6.8, 0.7).
Consider the sequence of numbers 50,48,46,44….
(A) What are the next three numbers in this sequence?
(B) Using n to represent the position of a number in this sequence, write an expression that allows you to calculate the nth number.
(C) use your expression to find the 100th number in this sequence
Step-by-step explanation:
(A) 42,40
(B) T(n) = 50 + (n-1)(-2)
= 50+2-2n
= 52-2n
(C) T(100) = 52 - 2(100)
= 52- 200
= - 148
Two trains leave towns 1285 kilometers apart at the same time and traveled towards each other. One train travels 17 km/h faster than the other. If they meet in 5 hours what is the rate of each train
Distance = (Rate)(Time)
Let x = speed of slower train
x + 17 = speed of faster train
The trains meet when the sum of the distances = 1285
5x + 5(x+17) = 1285
(5 came from 5 hours)
10x + 85 = 1285
10x = 1200
x = 120 mph
The speeds are 120 mph and 137 mph
wyzant
express
[tex](4 - x) {}^{ \frac{1}{2} } [/tex]
in ascending power of x up to term x²
Answer:
Step-by-step explanation:
Remember:
[tex]\boxed{(1+y)^{\frac{1}{2} }= 1+\dfrac{y}{2} -\dfrac{y^2}{2*4} +\dfrac{1*3*y^3}{2*4*6} +K\ with -1 < y \leq 1 }\\\\\\Let\ say\ 4-x=1+y\ or\ y=3-x\\\\\\(4-x)^{\frac{1}{2} }=1+\dfrac{3-x}{2} -\dfrac{(3-x)^2}{2*4} +K\ with\ 2\leq x <4\\\\=\dfrac{29}{8} -\dfrac{5x}{4} +\dfrac{x^2}{8} +K\\[/tex]
HELP ME PLEASEEEEEEEE
Answer:
c
Step-by-step explanation:
i search it up
12. A jet stream can move a particle of air
11 miles in 5 minutes. At this rate, how far
will the particle move in 1 hour?
(5 minutes = 1 hour) (Example 1)
Answer:
132 particles
Step-by-step explanation:
5 minutes = 11 miles
1 hour (60 minutes)
11*x = 11 x 60 = 660
11x = 660/5=132
The distance of a jet stream can move a particle of air 132 miles in 1 hour.
Here,
A jet stream can move a particle of air 11 miles in 5 minutes.
We have to find, The distance of particles move in 1 hour.
What is distance?
The length along a line or line segment between two points on the line or line segment.
Now,
A jet stream can move a particle of air 11 miles in 5 minutes.
5 minutes = 11 miles
Then, for 1 minute a jet stream can move a particle of air = 11 / 5 miles
Hence, In 1 hour ( 60 minutes) a jet stream can move a particle of air;
⇒ [tex]\frac{11}{5} * 60 = 132[/tex]
So, The distance of a jet stream can move a particle of air 132 miles in 1 hour.
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19. The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is (a) 20 (b) 23 (c) 169 (d) None of these
Answer:
B
Step-by-step explanation:
Let the two numbers be a and b.
The product of the two is 120 and their sum of their squares is 289. In other words:
[tex]\displaystyle ab = 120 \text{ and } a^2 + b^2 = 289[/tex]
And we want to find the sum of the two numbers.
We can use the perfect square trinomial. Recall that:
[tex]a^2 + 2ab + b^2 = (a+b)^2[/tex]
From the first equation, multiply by two:
[tex]2ab = 240[/tex]
Add the two equations together:
[tex](a^2+b^2)+(2ab) = (289)+(240)[/tex]
Simplify and rewrite:
[tex]a^2+2ab+b^2 = 529[/tex]
Factor using the perfect square trinomial pattern:
[tex](a+b)^2 = 529[/tex]
And take the square root of both sides:
[tex]\displaystyle a + b = \pm\sqrt{529} = \pm23[/tex]
Hence, the sum of the two numbers is 23 or -23.
In conclusion, our answer is B.
Can we please have some help
How many different sets of answers are possible on a true-false test that has 11
questions?
Combine like terms and write the simplified
Answer:
4x-3 16t-4
Step-by-step explanation:
Answer:
1. 8x-4x=4x
5-2=3
so the answer will be
4x+3
2.9t-7t+12-8=2t+4.
3.i have no idea
4. 18x^2+12x^2+16x-11x-17+19=30x^2+5x-36.
-1/3 - (-1/2) plz help I am confused
Answer:
[tex] \frac{ - 1}{3} - ( - \frac{1}{2} ) \\ \frac{ - 1}{3} + \frac{1}{2} ( - \times - = + ) \\ = \frac{ - 2 + 3}{6} \\ = \frac{1}{6} \\ thank \: you[/tex]
Answer:
[tex] \frac{1}{6} [/tex]
Step-by-step explanation:
[tex] - \frac{1}{3} - ( - \frac{1}{2} )[/tex]
[tex] - \frac{1}{3} + \frac{1}{2} [/tex]
[tex] \frac{ - 2 + 3}{ 6} [/tex]
[tex] = \frac{1}{6} [/tex]
please help i added 39 points :) but i dont understand this so yeah
Answer:
3 - 5 - 7 - 11 - 12Step-by-step explanation:
Given data:
3, 5, 5, 6, 6, 8, 9, 11, 11, 12The 5-number summary is:
Q1 = minimum of data = 3Q2 = median of lower half = 5Q3 = median of data = (6 + 8)/2 = 7Q4 = median of upper half = 11Q5 = maximum of data = 12Help meeeeeeeeeeeeeeeee
Answer:
x-3
Step-by-step explanation:
the inverse is x-3
this is the answer
HURRY WILL GIVE BRANLIEST!!!!!!!
Answer:
√17
Step-by-step explanation:
An irrational number is a number that cannot be expressed as a ratio of two integers. Or in other words, an irrational number can't be expressed as a fraction. You really cant divide one integer by another integer to get √17, so that makes it an irrational number.
Use the rule for order of operations to simplify the expression as much as possible:
22−2(9⋅2−8)
the result of a multiplication of two or more
terms
Answer:
ProductStep-by-step explanation:
Product is the result of a multiplication of two or more terms.[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Answer:
B=Product
C=polynominal
D=distirbutive property
Step-by-step explanation:
Which expression is another way to write 10,000?
10 × 10 × 10
10 × 10 × 10 × 10
10 × 10 × 10 × 10 × 10
10 × 10 × 10 × 10 × 10 × 10
Answer:
it's the second one
Step-by-step explanation:
the number of zeros behind the first number is the amount of tens! hope it helps!
Does anyone know this and can help please
Answer:
[tex]\frac{y^7z^3}{x}[/tex]
Step-by-step explanation:
When variables have negative exponents, switch their positions.
[tex]\frac{x^{-1}y^7}{z^{-3}}=\frac{y^7z^3}{x}[/tex]
One number exceeds another by 12 and their sum is 44 find the two numbers you
Answer:
Step-by-step explanation:
x - first
x + 12 - second
x + (x + 12) = 44
2x=44-12
x=16
first number is 16
second number is 16+12=28
two numbers are 16 and 28
16 and 28 are the required two numbers when one number exceeds another by 12 and their sum is 44
One number exceeds another by 12 and their sum is 44
We need to find the two numbers
What is equation?Two expressions with equal sign is called equation.
Let x be the first number
x + 12 be the second number
x + (x + 12) = 44
2x=44-12
x=16
Therefore first number is 16
second number is 16+12=28
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Given f(x) = x − 7 and g(x) = x2 .
Find g(f(4)).
g(f(4)) =
]
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Answer:
g(f(4)) = 9
Step-by-step explanation:
Put the argument value where the variable is and do the arithmetic.
g(f(4)) = g(4 -7) = g(-3) = (-3)^2
g(f(4)) = 9
Plz help ASAP need fast plz will mark Brainlyist
Answer:
The correct answer is the third one. CIRCUMFERENCE
Subtract. Write your answer in simplest form.
5/- 10/5
Answer:
-1/10
Step-by-step explanation:
(5/(-10))/5 = -(5/10)/5 = 1/10
(Hopefully this helped you out!)
if (a°+10°)and (a°+20°)are supplementry angles ,find them
Step-by-step explanation:
a°+10°+a°+20°=180
becasue sum of angle of suplimentary angles is 180.
2a+30=180
2a=180-30
2a=150
a=75
75 is what percent of 96?
simplify square root of 3/8
please give steps!!
Step-by-step explanation:
Write the expression
[tex] \sqrt{ \frac{3}{8} } [/tex]
Let make the denominator a perfect square that is a multiple of 8. 16 is a multiple of 8 and a perfect square so
[tex] \sqrt{ \frac{3}{8} } = \sqrt{ \frac{6}{16} } [/tex]
Know that
[tex] \sqrt{ \frac{x}{y} } = \frac{ \sqrt{x} }{ \sqrt{y} } [/tex]
So
[tex] \sqrt{ \frac{6}{16} } = \frac{ \sqrt{6} }{4} [/tex]
The simplified form of the square root of 3/8 is (√6) / 4.
To simplify the square root of 3/8, we can simplify the numerator and denominator separately.
For the numerator, we take the square root of 3:
√3
For the denominator, we take the square root of 8:
√8
Now, let's simplify each of them:
√3 cannot be simplified further because 3 is a prime number.
√8 can be simplified by factoring out the perfect square:
√8 = √(4 × 2)
Since 4 is a perfect square (2² = 4), we can take it out of the square root:
√8 = 2√2
Now, let's put the simplified numerator and denominator together:
√3/8 = √3 / (2√2)
To rationalize the denominator, we multiply the expression by the conjugate of the denominator:
(√3 / (2√2)) × (√2 / √2) = (√3√2) / (2√2√2)
Simplifying the denominator:
(√3√2) / (2√4) = (√6) / (2 × 2)
Simplifying further:
(√6) / (2×2) = (√6) / 4
Therefore, the simplified form of the square root of 3/8 is (√6) / 4.
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help me plz now plz help me asap
[tex]\\ \sf\longmapsto 0.49=\dfrac{49}{100}[/tex]
[tex]\\ \sf\longmapsto 0.093=\dfrac{93}{1000}[/tex]
[tex]\\ \sf\longmapsto 0.021=\dfrac{21}{1000}[/tex]
[tex]\\ \sf\longmapsto 0.103=\dfrac{103}{1000}[/tex]
The vertical side of a right triangle measures 6 inches, and the horizontal side measures 8 inches
1.Write the ratio of the distance of the vertical side to the distance of the horizontal side as a reduced fraction
2.If the original triangle were enlarged by 3 times, what would the new dimensions be?
3.Does the ratio of vertical side to horizontal side change when scaling up? Explain.
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Answer:
3/4vertical: 18 in; horizontal: 24 inno changeStep-by-step explanation:
1. The ratio is ...
(6 in)/(8 in) = 6/8 = 3/4
__
2. The scaled dimensions are ...
6 in × 3 = 18 in (vertical side)
8 in × 3 = 24 in (horizontal side)
__
3. You know from your process of reducing the fraction in part 1 that multiplying numerator and denominator by the same value does not change the reduced ratio.