Using an exponential function, it is found that at the beginning, there were 328 hornets.
An increasing exponential function has the following format:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem, there is a growth of 20%, hence [tex]r = 0.2[/tex].
After 5 months, the size is of 815, hence, when [tex]t = 5, A(t) = 815[/tex], and this is used to find A(0).
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]815 = A(0)(1 + 0.2)^5[/tex]
[tex]A(0) = \frac{815}{(1.2)^5}[/tex]
[tex]A(0) = 328[/tex]
At the beginning, there were 328 hornets.
A similar problem is given at https://brainly.com/question/22733028
Solve the system of equations
−2x+3y=3
−4x+5y=1
Answer:
x= 6, y= 5
Step-by-step explanation:
-2x +3y= 3 -----(1)
-4x +5y= 1 -----(2)
(1) ×2:
-4x +6y= 6 -----(3)
(3) -(2):
-4x +6y -(-4x +5y)= 6 -1
Expand:
-4x +6y +4x -5y= 5
y= 5
Substitute y= 5 into (1):
-2x +3(5)= 3
-2x +15= 3
2x= 15 -3
2x= 12
x= 12 ÷2
x= 6
Guys please help me match these
Brainliest will go to the right answer
Answer:
Step-by-step explanation:
10 - m = m - 10 is one solution
7x + 5 = 7(x + 5) is no solution
3(t + 2) = (2 + 3t) + 4 is identity
hope this helps!
mark me brainliest :D
пожалуйста, помогите с векторами!
Answer:
hi there is that something you can block
Need helppppppppppppppp
Answer: Try square root for the first one.
Step-by-step explanation: I know a lot about graphs tell me if I am right or wrong. Ok?
First to type something random in the answer box gets 100 points!
Answer: am not the first but ty :D
Step-by-step explanation: I appreciated it!
no link or bot answer the question
Answer:
480in
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
6 * 8 = 48
48 / 2 = 24
because it's half a square
what is another word for Angle 1?
The angle would be the 3 points surrounding it with the point that the two lines connect to being in the middle:
Angle 1 is GEF
How do you figure out division expression with answer of 19.1
Answer:
its 5823
Step-by-step explanation:
help urself
Complete the chart!! :)
Answer:
1 foot is 12 inches so 6 feet would be 72 inches
Step-by-step explanation:
12x6=72
Write the following expression as a constant, a single trigonometric function, or a power of a trigonometric function.
sec x cos x
Answer:
1.
Step-by-step explanation:
sec x cos x
= 1/cos x * cos x
= cos x / cos x
= 1.
One half of a number decreased by 10 is one fourth of a number increased by 15. What is the number?
Answer:
100
Step-by-step explanation:
What is the surface area of a rectangular brick with a length of 12 in, a width of 8 in, and a height of 6 in?
Answer:
We can apply the formula for surface area of a rectangular prism here. i.e.
Step-by-step explanation:
A=2(l×w + h×l + h×w), where l is length, h is height and w is width.
As mentioned above, length = 12 cm, width = 8 cm and height = 6 cm.
Therefore
2(12×7+6×12+6×8)=2(84+72+48)=2(204)=408. So the surface area of the brick is 408 square centimetres.
Rico is finding 7.5 × 100
Find and correct his mistake
Answer:
Rico moved his decimal to the left instead of to the right. So the answer should be 750
Step-by-step explanation:
When you multiply, your moving the decimal to the right so the number gets bigger.
Hope this helps~! :3
Answer:
750
Step-by-step explanation:
As you move the decimal over to the right 2 places.
Si caminara 1 2/3 alrededor de la jardinera triangular,Cuantos metros recorrería?
Answer:
0.0423333333 meters
Step-by-step explanation:
When you convert, you will receive the same result.
8.6w+2.2(2w-5)=54
help plz
8th grade math
Review of Unit 6 Measurement:
Michael bought 42 feet of baseboard trim to put around the edges of his workout
room. He used 39 feet 5 inches, which means he still has 2 feet 7 inches leftover for
another project or to use for a repair, if needed. True or false?
Helpful conversion fact: 1 foot = 12 inches
True
False
Answer:
True
Step-by-step explanation:
Brought - the amount used
42 feet - 39 feet 5 inches.
42 feet 0 inches = 41 feet 12 inches
- 39 feet 5 inches = - 39 feet 5 inches
2 feet 7 inches
1. Evaluate |-x - 2y| for x = -2 and y = 3
Answer:
4
Step-by-step explanation:
x = - 2
y = 3
l - x - 2y l
= l - ( - 2 ) - 2 ( 3 ) l
= l 2 - 6 l
= l - 4 l
= 4
What is the distance between the bank and Hiroto’s house on the map?
Enter the distance to the nearest quarter mile. (Each unit represents 1 mile.)
i inserted a picture of the question
Please help me my teacher is making me do this she didn’t even teach us this
Answer:
ratios which are in only one negative sign they are in negative rational number and others are in positive
Dan has three dogs. He feeds them these amounts of food each day. 1 1/2 cups, 2 1/3 cups, and 3 1/2 cups. Ben has two dogs. He feed them 3 1/4 cups and 4 1/2 cups of dog food per day. Who uses more dog food? How much more?
Answer:
ben
5/12
Step-by-step explanation:
1 1/2+2 1/3+3 1/4 = 22/3 -dan
3 1/4+4 1/2 = 31/4 -ben
ben - dan
31/4-22/3
=5/12
Segments BF, CD, and AE are medians for triangle ABC. Point K is the intersection of all three medians. The measure of segment FK is 3.40 cm and segment EK = 1.63 cm. Find the sum of the lengths of segments AK and BK.
The point of concurrency of the three median is the centroid of the triangle ABC.
The sum of the lengths of AK and BK is 10.06Reasons:
The given parameters are;
The medians of the triangle ABC = Segments BF, CD, and AE
The length of segment FK = 3.40
Length of segment EK = 1.63
Required:
The sum of the lengths of segment AK and BK
Solution:
The ratios of the lengths of AK to KE = 2:1
Therefore, we have;
[tex]\dfrac{AK}{KE} = \dfrac{2}{1} = \mathbf{\dfrac{AK}{1.63}}[/tex]
1.63 × 2 = 1 × AK
AK = 3.26
Similarly, we have;
[tex]\dfrac{BK}{KF} = \dfrac{2}{1} = \mathbf{\dfrac{BK}{3.40}}[/tex]
3.40 × 2 = BK
6.80 = BK
Which gives;
AK + BK = 3.26 + 6.80 = 10.06
The sum of the lengths of AK and BK = 10.06
Learn more here:
https://brainly.com/question/7856454
Question 7 of 15
Which is an equation of the line through (0,0) and (5,-2)?
A. y = 2
B. y = -x
C. y = -2
D. y = x
... None?
Not A because y = 2 is shown as forever 2 so cannot go through both points.
Not B because y = -x cannot go through (5,-2)
Not C because y = -2 cannot go through (0,0)
Not D because y = x cannot go through (5,2)
What expressions cannot be factored?
Answer:
A polynomial with integer coefficients that cannot be factored into polynomials of lower degree , also with integer coefficients, is called an irreducible or prime polynomial .
Step-by-step explanation:
3. [1,5 punts] Si en un partit el Camp Nou s'ha omplert parts de la seva capacitat, quants espectadors han anat? I si s'ha posat a ploure abans del final del partit i han marxat tres quartes parts dels espectadors que hi havia, quants en queden? Quina part de la capacitat ha quedat? (Capacitat del Camp Nou: 99375 espectadors.)
Answer:
ewwe
Step-by-step explanation:
The total measure of the three angles of a triangle is 180° is known as ……………………………… property of a triangle.
Answer:
Angle sum property
Step-by-step explanation:
This is because one exterior angle is equal to the sum of the other two interior angles.
Kina's mother decided to increase her pocket money by 40%. How much extra did Kina receive each week if previously she had been given J$400 per week?
Answer:
$560
Step-by-step explanation:
10% of $400 is $40. 40% of $400 is 10%x4. 40% of $400 is $160. Since her allowance increased by $160, it is now $560 per week.
$560 - if you `increase $400 by 40% the answer will be $560
A plant measures 10 cm and increases in height by .02 percent each day, upon conclusion it measures 11.04 cm. What is a reasonable domain to plot the growth function?
Answer:
the correct answer should be: the rate of change is 1 cm per 2 weeks, or 1/2.
Step-by-step explanation:
I found a graph with the same problem, so I guess this is the graph to be based on. To find the rate, just determine the slope between any two points along the line. Suppose these points are: (30,10) and (50,20).
Slope = (20 - 10)/(50 - 30) = 1/2
Given the zeros of the function f (x) = x4 + 3x3 – 28x², identify whether the zero is a bounce or
cross.
The area of Triangle abc is 3cm 4cm 3cm
Answer:
Step-by-step explanation:
ASSUMING the given dimensions are the lengths of the legs
we have an equilateral triangle with base 4 and height
h = √(3² - (4/2)²) = √5
A = ½bh = ½(4)(√5) = 2√5 cm²
