Answer: All polygons follow a rule that the sum of their exterior angles will equal 360 degrees.
A wildlife biologist determines that there are approximately 200 deer in a region of a national park. The population grows at a rate of 7% per year. Write an equation to represent the exponential A wildlife biologist determines that there are approximately 200 deer in a region of a national park. The population grows at a rate of 7% per year. Write an equation to represent the exponential growth of the population.
Answer:
FV= 200*(1.07^n)
Step-by-step explanation:
Current population= 200 deer
Growth rate= 7% per year
To calculate the future value of deer in any given years, we need to use the following formula:
FV= PV*(1+g)^n
FV= future value
PV= present value
g= growth rate
n= number of years
FV= 200*(1.07^n)
For example, the population in 5 years:
FV= 200*(1.07^5)
FV= 281
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Answer:
answer is A ok my friend bye
Which expressions are equivalent to 7x - 14? Check all that apply.
□ 14 - 7x
□x-2
□-(14 - 7x)
□ 7(x-2)
□ 3x - 14 + 4x
□ 2x - 10 + 5x + 4
Answer:
-(14 - 7x)
7(x- 2)
3x - 14 + 4x
these are correct
Make a the subject of the formula v=u+at
Answer:
a = (v - u)/t.
Step-by-step explanation:
v = u + at
v - u = at
(v - u)/t = a.
In the school courtyard, there is an area
with
grass and an area with stones. The space for
stones is composed of a square and an
isosceles triangle. What is the area of the
grass?
Card
#6
Grass
17
44 m
12 m
25 m
Checked by Teacher
Final Answer
(Include Units.)
Answer:
Step-by-step explanation:
please help me i need it fast
Answer:
20x^3/4x7
20/4x^4
5/x^4
Step-by-step explanation:
can someone help me simplify this?
Answer:
sinB
Step-by-step explanation:
Using trigonometric sum/difference rule -
we can expand the expression to
= (sinAcosB + cosAsinB)cosA - (cosAcosB - sinAsinB)sinA
= cosAsinAcosB + cos^2(A)sinB - sinAcosAcosB + sin^2(A)sinB
= cos^2(A)sinB + sin^2(A)sinB
= (cos^2(A) + sin^2(A))sinB, (Pythagorean identity)
= (1 * sinB)
= sinB
A traingle has coordinates at A(-2,0) B(-4,4) and C(1, 6). What are the new locations of the coordinates after a dilation by a scale factor of 4?
Answer: A (-2,0) --> (-8,0)
B(-4,4) --> (-16,16)
C(1,6)--> (4,24)
Step-by-step explanation:
Multiply each coordinate by 4
A (-2,0) --> (-8,0)
B(-4,4) --> (-16,16)
C(1,6)--> (4,24)
The new locations of the coordinates after dilation by a scale factor of 4 as
A (-2,0) ⇒ (-8,0)
B(-4,4) ⇒ (-16,16)
C(1,6) ⇒ (4,24)
What is dilation?Dilation is a process for creating similar figures by changing the size.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
As we know dilation factor is the ratio of sides in the original image and the image after dilation.
Dilation factor = 4
Multiply each coordinate by 4
A(-2,0) ⇒ (-8,0)
B(-4,4) ⇒ (-16,16)
C(1,6) ⇒ (4,24)
Learn more about the Dilation here:
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find the value of given expression
[tex] \sqrt{35 \times 35} [/tex]
What is the Range of the function
Answer: Pretty sure its A.
Step-by-step explanation:
i'll pay someone to do my math <3
I would like to be paid, then xD
Write the 1st, 2nd, 3rdand 18thterms for: A) Un= n2 + 4 B) Un = 6n + 5
Answer:
(a) [tex]U_1 =5[/tex]; [tex]U_2 = 8[/tex]; [tex]U_{18} = 328[/tex]
(b) [tex]U_1 = 11[/tex]; [tex]U_2 =17[/tex]; [tex]U_{18} = 113[/tex]
Step-by-step explanation:
Required
1st, 2nd and 18th terms
To do this, we simply substitute 1, 2 or 18 for n in the given equations
Solving (a):
[tex]U_n =n^2 + 4[/tex]
1st term: n = 1
[tex]U_1 =1^2 + 4[/tex]
[tex]U_1 =1 + 4[/tex]
[tex]U_1 =5[/tex]
2nd term: n = 2
[tex]U_2 = 2^2 + 4[/tex]
[tex]U_2 = 4 + 4[/tex]
[tex]U_2 = 8[/tex]
18th term: n = 18
[tex]U_{18} = 18^2 + 4[/tex]
[tex]U_{18} = 324 + 4[/tex]
[tex]U_{18} = 328[/tex]
Solving (b):
[tex]U_n = 6n + 5[/tex]
1st term: n = 1
[tex]U_1 = 6*1 + 5[/tex]
[tex]U_1 = 6 + 5[/tex]
[tex]U_1 = 11[/tex]
2nd term: n = 2
[tex]U_2 = 6*2 + 5[/tex]
[tex]U_2 =12 + 5[/tex]
[tex]U_2 =17[/tex]
18th term: n = 18
[tex]U_{18} = 6*18 + 5[/tex]
[tex]U_{18} = 108 + 5[/tex]
[tex]U_{18} = 113[/tex]
Part C: If HI = 7, find KL. Show your work.
Answer:
KL= 14
Step-by-step explanation:
4*2=8
5*2=10
7*2=14
Elena has a large container with a capacity of 96 fluid ounces of lemonade. How many cups of lemonade can she fill?
Answer:
12 cups
Step-by-step explanation:
7m+9, for m=2.
What's the value of this equation
Answer:
replace m with 2 and do 7(2)+9
(2/9v)−(−1/3v+5/9) simplified
Answer: (5/9)(v – 1)
Hope this helps!
I need help in mathematics
Answer:
B. 75.36 cubic cm
Step-by-step explanation:
We will use the formula V=π times r² times h
so, V= 3.14 times 2² times 6
so, V= 3.14 times 4 times 6
= 3.14 times 24
=75.36 cubic cm
Please mark me as brainliesthii please help i’ll give brainliest
Answer:
B) 5
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Please help I need this ASAP!
Answer:
41 1/5
Step-by-step explanation:
2 3/5 x 7 = 18 1/5
5 3/4 x 4 = 23
18 1/5 + 23 = 41 1/5
Natalie invests $6,000 into a brokerage account which earns 5% per year. In 10 years, how much will Natalie's investment be worth if interest is compounded continuously? Round to the nearest dollar.
Answer:
63076.27
Step-by-step explanation:
last math question for today!!!!
Answer: Maybe search it up?...I cant rlly see what the question says
Step-by-step explanation:
A community theater uses the function p(d)= -5d²+300d -200 to model the profit (in dollars) expected in a weekend when the tickets to a comedy show are priced at d dollars each: Part A: Write and solve an equation to find out the prices at which the theater would earn $2,300 in profit from the comedy show each weekend. Show your reasoning Part B: At what price would the theater make the maximum profit. and what is that maximum profit? Show your reasoning.
Answer:
A. $66.33B. $4300Step-by-step explanation:
Given function:
p(d)= -5d² + 300d - 200 Part Ap(d) = 2300, find d:
2300 = -5d² + 300d - 200 5d² - 300d + 200 - 2300 = 05d² - 300d - 2100 = 0d² - 60d - 420 = 0d²- 2*30d + 900 = 1320(d - 30)² = 1320d- 30 = √1320d = 30 + 36.33d = 66.33 Part BMaximum point of the function is obtained at vertex, which is (x = -b/2a):
d = - 300/-10 = 30The maximum profit is:
p(30) = -5(30)² + 300(30) - 200 = 4300Mary has a rectangular garden that she needs to buy soil for. The length of the garden can be represented by 5x-1, and the width x^2+4. What expression represents the area of the garden so that she knows how much soil to purchase? plsss helppp!!!!!!!!!!!!!
Answer:
A = (5x - 1) (x^2 + 4)
Step-by-step explanation:
Area = length × width
= (5x - 1) (x^2 + 4)
Please resolve this is for today
Answer:
A Square plus B square equals
Step-by-step explanation:
T
Does anyone knoe how to do this?? help
Answer:
A I'm Brainly
Step-by-step explanation:
xd xd xd xd XD
Can someone plzzz helppp meeee( don’t say click this link)
Answer:
22
Step-by-step explanation:
You can also use the radius of the circle and the arc length to find the central angle. Call the measure of the central angle θ. Then: θ = s ÷ r, where s is the arc length and r is the radius.
So...
0=31 divided by 22
0
22 remainder
0=22
22 is the arc's central angle.
:D
A researcher begins an experiment with 50 bacteria. She notices each bacterium triples every hour. Which equation best represents this scenario?
A. y=3(50)x
B. y=3x+50
C. y=50(3)x
D. y=3x+50
Answer:
A. y=3(50)x
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Uma volta inteira na Terra corresponde a uma distância 2πr≅40.000 km. Se um satélite leva 85 minutos para dar uma volta completa ao redor da Terra, qual a sua velocidade média em m/s (metros por segundo)
Answer:
7.8. 10 ^ 3 m / s
Step-by-step explanation:
The computation of the average speed in m/s is shown below:
The average speed equation is
= ΔS ÷ Δt;
As We know that
an entire revolution would be40,000 km
and a satellite takes 85 minutes to complete a revolution,
So,
ΔS = 40,000 km = 40,000,000 m
Δt = 85 min = 5 100 s
Now the average speed is
= 40 000 000 ÷ 5 ÷ 5 100
= 7843.14 m / s
= 7.8. 10 ^ 3 m / s
Trevor pet goat weighed 6 3/ pounds when oit was born. By age 3 the goat weighted 8 times as much. Fill in each box with a number or sysmobe to answer tthis question.
Answer: 51 pounds
Step-by-step explanation:
Since the goat weighed 6 3/8 pounds and weighed 8 times as much by age 3, the weight of the goat at age 3 will be gotten by multiplying 6 3/8 by 8. This will be:
= 6 3/8 × 8
We change 6 3/8 to an improper Fraction
= 51/8 × 8
= 51 pounds
The weight is 51 pounds
Complete the work shown to answer the question.
p2 – 14p – 72 = 0
p2 – 14p = 72
p2 – 14p + 49 = 72 + 49
Which describes the solutions of the equation?
Since 7 and 11 are both rational, the sum and difference are rational.
Since 14 and 11 are both rational, the sum and difference are rational.
Since 7 is rational and StartRoot 11 EndRoot is irrational, the sum and difference are irrational.
Since StartRoot 7 EndRoot is irrational and 11 is rational, the sum and difference are irrational.
its a btw
The option that describes the solutions of the equation is A. Since 7 and 11 are both rational, the sum and difference are rational.
How to explain the equation?An equation simply means a statement that the values of two mathematical expressions are equal.
In this case, the solutions of the equation is that since 7 and 11 are both rational, the sum and difference are rational.
Learn more about equations on:
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