Answer:
Yes
Step-by-step explanation: The explicit formula used: An = 1000(2)n - 1 is the correct formula. This is modeled as exponential growth with a common ratio of 2; which is correct based on the data given in the table.
The predicted population for year 50 is approximately [tex]1.1259[/tex] x [tex]10^18[/tex] wombats.
To predict the populations for years 6, 10, and 50 using the given explicit formula an = [tex]1000(2)^n[/tex] – 1, we can substitute the respective values of n and calculate the population.
For year 6 (n = 6):
a6 = [tex]1000(2)^6[/tex] – 1
a6 = 1000(64) – 1
a6 = 64,000 – 1
a6 ≈ 63,999
The predicted population for year 6 is approximately 63,999 wombats.
For year 10 (n = 10):
a10 = [tex]1000(2)^ 10[/tex]
a10 = 1000(1,024) – 1
a10 = 1,024,000 – 1
a10 = 1,023,999
The predicted population for year 10 is 1,023,999 wombats.
For year 50 (n = 50):
a50 = [tex]1000(2)^50[/tex] – 1
a50 = 1000(1.1259 x 10¹⁵ ) – 1
a50 = 1.1259 x 10¹⁸ – 1
a50 ≈ 1.1259 x 10¹⁸
The predicted population for year 50 is approximately 1.1259 x 10^18 wombats.
To know more about geometric sequence. here
https://brainly.com/question/29632351
#SPJ2
Write a quadratic function f whose zeros are -3 and -8
Answer:
y = x² + 11x + 24
Step-by-step explanation:
y = (x + 3)(x + 8)
Expand
y = x² + 8x + 3x + 24
Combine like terms
y = x² + 11x + 24
I’m really confused on how to write the range of inequality because it’s been a while. Can someone please help??
Answer:
y ≤ 0
Step-by-step explanation:
The arrow says that the function keep going down
the biggest y is 0
so we can write
y ≤ 0
need help. asap. also need an explanation for the problem. :)
Answer:
124858
Step-by-step explanation:
The first 4 digits are simple, you multiply the first digit of the equation by the 2nd digit and then for the other 2 you multiply the first digit of the equation by the 3rd digit.
6 + 2 + 8
6 * 2 = 12
6 * 8 = 48
Then the last 2 digits are the sum of the products of the 1 and 2 and 1 and 3 and subtract it by the 2
12 + 48 = 60
60 - 2 = 58
Put them together
Helpppppppp plz!!!!!!!!!
PLEASE NO LINKS, I will report you.
Solve for x.
Need help, please.
I also need explanation.
Answer:
for 18 x is 6 and for 20 it is 11
Step-by-step explanation:
For 18, since -1+2x and 5+x is the same thing, set up and equation. WE can simplify to -1+x=5 and then we get x=6
For 20, 18 is 11 since 18=-4+2x. If we simplify we get 22=2x then we can use algebra to say that x=11
Hope this helps :)
Answer:
18.) x = 6
20.) x = 11
Step-by-step explanation:
18.)
We know that line segments FC and ED are parallel to each other so they are congruent to each other:
-1 + 2x = 5 + x
-1 + x = 5
x = 6
20.)
We know that line segments DE and CF are parallel to each other so they are congruent to each other:
18 = -4 + 2x
22 = 2x
22/2 = x
11 = x
Hope this helps!
Analia wants to know which school has higher athletic achievements relative to the SAT average. 1) Analia thought of two different ways to define this quantity. Identify these two definitions among the following options. Choose 2 answers: Choose 2 answers: (Choice A) A % of students in sports club divided by SAT average (Choice B) B Graduation rate divided by SAT average (Choice C) C Number of sports medals won (Choice D) D Number of sports medals won divided by SAT average 2) Determine which school has higher athletic achievements relative to the SAT average, according to the two definitions. Did you get the same result for both definitions? Choose 1 answer: Choose 1 answer: (Choice A) A Yes. According to both definitions, School A has higher athletic achievements relative to the SAT average. (Choice B) B Yes. According to both definitions, School B has higher athletic achievements relative to the SAT average. (Choice C) C No. The definitions have opposite results.
Answer:
( THIS MAY NOT BE CORRECT FOR EVERYONE'S QUESTION )
1) Analia thought of two different ways to define this quantity. Identify these two definitions among the following options.
% of students in sports club divided by SAT average
number of sports medals won divided by SAT average
2) Determine which school has higher athletic achievements relative to the SAT average, according to the two definitions. Did you get the same result for both definitions?
No. The definitions have opposite results.
khanad2021
What is the distance between the points (−3, 4) and (−3, −5)?
Answer:
sorry i need points :(
..............
Step-by-step explanation:
.......
A rugby team plays two matches. They win (W) draw (D) or lose (L) each match. List the possible outcomes
Answer:
They can W and W.
They can W and D.
They can D and D.
They can L and L.
They can L and D.
They can W and L.
Step-by-step explanation:
A baby weighed 96 ounces at birth. Eight days later the baby weighed 120 ounces. About how many ounces did the baby gain each day? a. Write a two-step equation to represent the situation. b. Solve the equation.
Answer:
The baby gained about 3 ounces a day
HOPE THIS HELPS
-Todo ❤️
Step-by-step explanation:
120-96=24
24/8=3
please someone help this is my sisters problem that shes been stuck on and its middle school work so if anyone could help it would mean a lot! NO LINKS OR FILES OR I WILL REPORT
Answer:
the answer is 22
Step-by-step explanation:
77/3.5=22
Find the center, vertices, and foci of the ellipse with equation x squared divided by 9 plus y squared divided by 25
Answer:
[tex]C=(0,0)[/tex]
[tex]F=(\pm 4,0)[/tex]
[tex]V=(\pm 5,0)[/tex]
Step-by-step explanation:
From the question we are told that:
The Equation
[tex]\frac{x^2}{9}*\frac{y^2}{25}[/tex]
Generally
From the Equation
[tex]a^2=25[/tex]
[tex]a=5\\b^2=9\\b=3[/tex]
Therefore
[tex]c=\sqrt{a^2-b^2}[/tex]
[tex]c=\sqrt{25-9}[/tex]
[tex]c=\sqrt{16}[/tex]
[tex]c=4[/tex]
Generally the equation for center is mathematically given by
[tex]C=(h,k)[/tex]
[tex]C=(0,0)[/tex]
Generally the equation for foci is mathematically given by
[tex]F=(h,k \pm c,0)[/tex]
[tex]F=(\pm 4,0)[/tex]
Generally the equation for vertice is mathematically given by
[tex]V=(h,k \pm a,0)[/tex]
[tex]V=(\pm 5,0)[/tex]
What is the equation of the line that passes through the points (15, 9) and (-2, 9)?
y=9
y=- 11/6x + 9
y= -17
y= 6x + 11
Answer:
y=-17x-25
Step-by-step explanation:
9-9=0
-2-15=-17
(y-9)÷(x+2)= -17
y-9=-17x-34
y= -17x-25
Please help, I’ll mark as brainliest!! The picture is above :)
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable
Exact Form:
x = - 25/8 [tex]\frac{x}{y}[/tex]
Decimal Form:
x = -3.125
Mixed Number Form:
x = - 3/1/8 [tex]\frac{x}{y}[/tex]
Step-by-step explanation:
what is the sign of -8+8
it is 0
there is no sign to -8 + 8
Answer:
Your answer would be 0
Step-by-step explanation:
if you were asking a question like, 8+8 your answer would be, 16. Correct me if I'm wrong. ☆
Please help, will give brainliest
Tom wants to order tickets online so that he and three of his friends can go to a waterpark. The cost of the tickets is $16.00 per person. There is also a $2.50 one-time service fee for ordering the tickets online. Write an expression in terms of n that represents the cost for ordering n tickets online.
Answer:
(16*n)+2.5=c
Step-by-step explanation:
c=cost
n=amount of friends.
Have a great weekend!! :)
Please help!!! T^T
Sarah buys 2 gallons of milk. There are approximately 3.875 liters in a gallon. How many milliliters of milk did Sarah buy?
Hello, I hope this helps!
Answer:
3.875 * 2
= 7,570.82 ml
Sarah bought 7,570 ml of milk
The safety rules for a playground state that the height of the slide and the distance from the base of the ladder to the front of the slide must be in a ratio of 3 : 5. What would be the length of this slide? Round your answer to the nearest whole number. ____feet
Answer: 12
Step-by-step explanation: c = √a2 + b2
= √(6)2 + (10)2
= √36 + 100
= √136
= 2√34
= 11.661903789691
Round up
12
The length of the slide has a height of 6 feet and the base of 10 feet would be equal to the nearest whole number 12 feet.
The ratio of the height of the slide and the distance from the base of the ladder to the front of the slide is 3 : 5.
The height of the slide is 6 feet.
The base of the ladder is 10 feet.
What is Pythagoras Theorem?The Pythagoras is the sum of the square of two sides which is equal to the square of the longest side.
From the Pythagoras Theorem,
[tex]\rm a^{2} =b^{2} +c^{2} \\\rm a^{2} =10^{2} +6^{2} \\\rm a^{2} =100+36\\\rm a = \sqrt{136} \\\rm a = 11.6619\\\rm a=12[/tex]
By round off up to nearest whole number. The length of the slide would be 12 feet.
Learn more about the Pythagoras Theorem here:
https://brainly.com/question/343682
Jasiah wants to buy a bicycle that costs $330. He has saved $50 so far and will save $40 each week until he has enough money to buy the bicycle
Answer:
$280
Step-by-step explanation:
There are 2 ways to do the question.
Method 1: $330-$50=$280
Method 2: 7 days equals to one week=$40.
$40×7=$280
Hope these helps you!
Question mark 1: Match the triangle to correct function and answer
Answer:
Triangle 1 - [tex]m\angle A = 58^{\circ}[/tex], hypotenuse = 16
[tex]x \approx 8.479[/tex]
Triangle 2 - [tex]m \angle A = 44^{\circ}[/tex], adjacent leg = 18
[tex]x \approx 17.382[/tex]
Triangle 3 - [tex]m\angle A = 49^{\circ}[/tex], opposite leg = 12
[tex]x \approx 15.900[/tex]
Step-by-step explanation:
Each triangle is solved by means of trigonometric relations:
Triangle 1 - [tex]m\angle A = 58^{\circ}[/tex], hypotenuse = 16
[tex]\cos 58^{\circ} = \frac{x}{16}[/tex]
[tex]x = 16\cdot \cos 58^{\circ}[/tex]
[tex]x \approx 8.479[/tex]
Triangle 2 - [tex]m \angle A = 44^{\circ}[/tex], adjacent leg = 18
[tex]\tan 44^{\circ} = \frac{x}{18}[/tex]
[tex]x = 18\cdot \tan 44^{\circ}[/tex]
[tex]x \approx 17.382[/tex]
Triangle 3 - [tex]m\angle A = 49^{\circ}[/tex], opposite leg = 12
[tex]\sin 49^{\circ} = \frac{12}{x}[/tex]
[tex]x = \frac{12}{\sin 49^{\circ}}[/tex]
[tex]x \approx 15.900[/tex]
The composite figure is made up of a cone and a half sphere. The radius of the half sphere is 6 cm. What is the volume of the composite figure? Use 3.14 for Pi. Round to the nearest hundredth.
A half sphere and cylinder. Both have a radius of 6 centimeters. The cone has a height of 12 centimeters.
Recall the formulas V = one-third B h and V = four-thirds pi r cubed
188.40 cubic centimeters
489.84 cubic centimeters
904.32 cubic centimeters
1,356.48 cubic centimeters
Given:
Radius of half sphere and cone = 6 cm
Height of cone = 12 cm
To find:
The volume of composite figure that is made up of a cone and a half sphere.
Solution:
Volume of half sphere is:
[tex]V_1=\dfrac{2}{3}\pi r^3[/tex]
Where r is the radius of the half sphere.
Putting [tex]\pi =3.14, r=6[/tex], we get
[tex]V_1=\dfrac{2}{3}(3.14)(6)^3[/tex]
[tex]V_1=\dfrac{6.28}{3}(216)[/tex]
[tex]V_1=452.16[/tex]
Volume of a cone is:
[tex]V_2=\pi r^2h[/tex]
Where r is the radius and h is the height of the cone.
Putting [tex]\pi =3.14, r=6, h=12[/tex], we get
[tex]V_2=(3.14)(6)^2(12)[/tex]
[tex]V_2=(3.14)(36)(12)[/tex]
[tex]V_2=1356.48[/tex]
Volume of the composite figure is:
[tex]V=V_1+V_2[/tex]
[tex]V=452.16+1356.48[/tex]
[tex]V=1808.64[/tex]
Therefore, the volume of a composite figure is 1808.64 cubic centimetres.
Note: All options are incorrect.
Answer: A
Step-by-step explanation:
if dy/dx = ysec^2(x) and y= 5 when x = 0, then y=?
А. e^tanx +4
B. e^tanx +5
C. 5e^tanx
D. tanx + 5
E. tanx + 5e^x
Answer:
C. [tex]\displaystyle y = 5e^{tan(x)}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
FunctionsFunction Notation|Absolute Values|Anything to the 0th power is 1Algebra II
Logarithms and Natural logsEuler's number eCalculus
Derivatives
Derivative Notation
Trig Derivatives
Differential Equations
Separation of variablesGeneral and particular solutionsAntiderivatives - Integration
Integration Constant C
Trig Integration
Logarithmic Integration
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \frac{dy}{dx} = ysec^2(x)[/tex]
x = 0, y = 5
Step 2: Rewrite Differential
Separation of variables
[Division Property of Equality] Isolate y terms together: [tex]\displaystyle \frac{1}{y}\frac{dy}{dx} = sec^2(x)[/tex][Multiplication Property of Equality] Isolate x terms together: [tex]\displaystyle \frac{1}{y}dy = sec^2(x)dx[/tex]Step 3: Find General Solution
[Equality Property] Integrate both sides: [tex]\displaystyle \int {\frac{1}{y}} \, dy = \int {sec^2(x)} \, dx[/tex][1st Integral] Integrate [Logarithmic Integration]: [tex]\displaystyle ln|y| = \int {sec^2(x)} \, dx[/tex][2nd Integral] Integrate [Trig Integration]: [tex]\displaystyle ln|y| = tan(x) + C[/tex][Equality Property] e both sides: [tex]\displaystyle e^{ln|y|} = e^{tan(x) + C}[/tex]Simplify: [tex]\displaystyle |y| = Ce^{tan(x)}[/tex]Rewrite: [tex]\displaystyle y = \pm Ce^{tan(x)}[/tex]Step 4: Find Particular Solution
Substitute in variables [Function]: [tex]\displaystyle |5| = Ce^{tan(0)}[/tex]Evaluate absolute value: [tex]\displaystyle 5 = Ce^{tan(0)}[/tex]Evaluate trig: [tex]\displaystyle 5 = Ce^0[/tex]Evaluate exponent: [tex]\displaystyle 5 = C(1)[/tex]Multiply: [tex]\displaystyle 5 = C[/tex]Rewrite: [tex]\displaystyle C =5[/tex]Substitute in C [General Solution]: [tex]\displaystyle y = 5e^{tan(x)}[/tex]∴ Our answer is C.
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Differential Equations
Book: College Calculus 10e
A horizontal line passing through the point (-15,12)
Answer:
this is your answer........
How can I solve for x?
Answer:
37 degrees
Step-by-step explanation:
The angles within a triangle always add up to 180 degrees. Right angles are always 90 degrees. 53 + 90 = 143 degrees. 180 - 143 = 37 degrees
Mr. Davis is looking to redo his carpet in his
house. He knows the area of the a room is 63
and he knows one measurement is 7ft. What's
the other missing measurement of the room?
Answer:
assuming the carpet is a rectangle, the missing measurement would be 9 ft.
(63 / 7 = 9)
Someone please help!!! It doesn’t make sense!! Find the value of 1/2 divided by 1/3. (A 1 and 1/2) (B 1 and 1/3) (C 1 and 2/3) that’s the options I have please help!!!
Answer:
A
Step-by-step explanation:
1/2 ÷ 1/3
Copy dot flip
1/2 × 3/1
1 × 3 / 2 × 1
3 / 2
3/2
Convert 3/2 into mixed number:
3/2 -> 1 1/2 because 3 fits into 2 evenly once, which leaves 1 remaining (for the denominator)
Mitch made a dot plot of the number of hours that students in his grade spent this week watching television.
Use the data to choose True or False for each statement.
Dot plot named as
A typical student from this group spends more than 10 hours watching television each week.
More students watch 3 hours of television than watch more than 3 hours of television.
All students watch 20 or fewer hours of television each week.
The most common answer for the number of hours that a student watches per week was 3.
Answer:
Part A
False
Part B
True
Part C
True
Part D
True
Step-by-step explanation:
A scatter diagram created with MS Excel shows the data as on the dot plot in a similar question obtained online
The number of students in the group = 92
Part A
The number of students that spend more than 10 hours watching television = 39
Therefore, given that less than half of the student spend more than 10 hours watching television, the statement is false
Part B
The number of students that watch 3 hours of television is the highest than any other time range with 16 students, therefore, the statement is true
Part C
The maximum hours watched by a student in the dot plot is 20 hours, therefore, the statement is true
Part D
The number of hours for which the student watched and which has the highest frequency is 3 hours, therefore, the statement is true as more students have 3 hours as the number of hours watched (16 students) than any other number of hours
WILL GIVE BRAINLIEST IMMEDIATELY. CORRECT ANSWER + EXPLANATION REQUIRED FOR BRAINLIEST. NO LINKS OR FAKE ANSWERS! IF YOU PUT A LINK OR FAKE ANSWER I WILL REPORT YOU!!!
look at the photos for question, diagram, and answer choices :)
Answer: A. alternate interior angles
Step-by-step explanation:
Line 2 (l₂) and Line 3 (l₃) will be the focus of this question. Since both angle 3 and angle 5 are inside of the lines, they are interior angles. Since they are on alternate sides of the central line (t₁), they are alternate angles. Since they are both alternate and interior angles, they are alternate interior angles.
What is 3 1/4 in cups as a whole number or mixed number in simplest form?
Answer:
3/4 = 34 = 0.75.
Step-by-step explanation:
The figure shown is a rectangle with a semicircle on each end. What is the area of the
figure? Use 3.14 for at and round your answer to the nearest tenth.
34.8 in.2
8 in
161.0 in.
Blin
104.5 in.
76.3 in.2
Done
Step-by-step explanation:
the area of the fig. =
(8×6)+(3.14×3²)
= 48+ 28.3
= 76.3 in²
Answer:
what the dude said
Step-by-step explanation:
Btw dude, your a life saver
Please help me solve the problem
Answer:
X = 44
Step-by-step explanation:
That square means that the angle is 90°, therefore you can subtract 46 from 90 to find x
90 - 46 = 44
Answer:
44
Step-by-step explanation:
That is a right angle so we just need to subtract 46 from 90, and 90-46 is 44. So 44 is the missing angle
Pls brainliest :D