Answer:
6, 10 and 8
Step-by-step explanation:
Given the recursive function an = an-1-(an-2 - 4), when a5 =-2 and a6 = 0?
a6 = a5 - (a4 - 4)
0 = -2 - (14 - 4)
2 = - (a4 - 4)
-2 = a4 - 4
a4 = -2 + 4
a4 = 2
a5 = a4 - (a3 - 4)
-2 = 2 - (a3 - 4)
-2-2 = - (a3 - 4)
-4 = -(a3 - 4)
4 = a3 - 4
a3 = 4+4
a3 = 8
Also
a4 = a3 - (a2 - 4)
2 = 8 - (a2 - 4)
2-8 = - (a2 - 4)
-6 = -(a2 - 4)
6 = a2 - 4
a2 = 6+4
a2 = 10
a3 = a2 - (a1 - 4)
8 = 10 - (a1 - 4)
8-10 = - (a1 - 4)
-2 = -(a1 - 4)
2 = a1 - 4
a1 = 2+4
a1 = 6
Hence the first 3 terms are 6, 10 and 8
Answer:
C. 6, 10, 8
Step-by-step explanation:
i took the test
When a plant or animal dies, it stops acquiring carbon-14 from the atmosphere. The amount y (in grams) of carbon-14 in the body of an
organism after t years is y = a(0.5)
t/5730
where a is the initial amount (in grams). What percent of the carbon-14 is released each year? Round
your answer to the nearest hundredth.
his
about
%
Answer:
0.01 %
Step-by-step explanation:
The given model is;
y = a (0.5)^t/5730
Which is;
y = a(2^-1(t/5730)
Then;
y = a (2^-1/5730)^t
y = a(0.999879)^t
Hence;
Given that the general model is;
y(x)= a(1-r)^x
Where r is the rate percent
Since 1-r =0.999879
r = 0.00012096
y = a(1 - 0.00012096)^t
So;
r= 0.00012096* 100 = 0.01 %
WILL MARK BRAINLIEST!
Answer:
1996 and 2000
Step-by-step explanation:
Since P (the population) is represented in thousands, 8000 will be represented by 8.
Plug in 8 as P and solve for t:
P = 2|t - 8| + 4
8 = 2|t - 8| + 4
4 = 2|t - 8|
2 = |t - 8|
Separate this into 2 possible cases:
2 = t - 8 and -2 = t - 8
Solve:
2 = t - 8
10 = t
-2 = t - 8
6 = t
So, the answers are 6 and 10.
The town will have a population of 8000 in 1996 and 2000
[tex]500 \times 96515 + 275[/tex]
Answer:
= 48257775
Step-by-step explanation:
500x96515+275
multiply first
48257500+275
lastly, add
=48257775
i hope this helps :)
Find the value of x and round to the nearest tenth. *bots will be reported*
Please help. What is the answer?
Answer:
ASA
Step-by-step explanation:
The longest side is the same (denoted by the small line).
Assuming the red dot and the x mean the angles are the same, the triangles share two common angles.
As such, the triangles share one common side and two common angles. Hence ASA
26) In triangle ABC, if AB-BC and B
= 70°, ZA will be: *
O a. 70°
O b. 110°
O c. 55°
O d. 130°
Answer:
55degrees
Step-by-step explanation:
Let the other angles of the triangle are x, x degrees. Since the sum of angles in a triangle is 180degrees, hence;
<A + <B+ <C = 180
x + 70 + x = 180
2x+70 = 180
2x = 180 - 70
2x = 110
x = 110/2
x = 55
SInce <A is equal to x, hence <A is 55degrees
Max earns $9.30 per hour does part time job how much money will max earn if he works 1,5,8,H hours also how many hours will he work to earn $180
Step-by-step explanation:
write a formula that models this.
9.30x = money earned
If he works 2 hours, he'll get $9.30 times (2)
and so on. so you write and solve
9.30(1), 9.30(5), 9.30(8)
for the second part you want to substitute 180 for the amount earned which will become
9.30x = 180 then you solve for x
PLEASE HELP NEED THE ANSWER
-20
-15
-25
-18
The plant produces 1200 packages of grapes. An inspector randomly chooses 24 packages and discovers that 8 of the packages have broken seals. What is the probability the package has a broken seal?
Answer:
8
Step-by-step explanation:
61, 21, 80, 46, 37, 70, 59, 65, 46, 39, 17, 87, 3, 10 Calculating the Mean, Median, Mode and Range of Data
Answer:
Mean: 45.8 (rounded to the tenth place)
Median: 46
Mode: 46
Range: 84
Step-by-step explanation:
A skateboard was originally priced at $53.00. It is on sale for 15% off. What is the sale price of the skateboard?
Answer:
STEP BYy-step explanation:
I need help with this to! When i get the answer ill let ya know
We have given that skateboard was originally priced at $53.00.
It is on sale for 15% off.
We have to determine the sale price of the skateboard.
The discount is 15%.
So we have to find 15% of $53.
What is the method to converting the percentage into desimal ?
Divide the percentage by 100 so we will get the the desimal form of percentage.
convert 15% into desimal
[tex]\frac{15}{100}=0.15[/tex]
Multiply 0.15 by original price,
[tex]0.15\times 53=7.95[/tex]
The original price discounted by this amount
Therfore he save $7.95
Sale price=53$-7.95=45.05
Therefore we get the salling price is $45.05.
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a heater is turned on in a cold room the scatterplot shows the relationship between the length of time since the heater was on in the temperature of the room the y-intercept of the estimated line of best fit is at (0, b). enter the approximate slope of the estimated line of best fit in the second response box
Answer:
A estimation of the slope is (1/2) °C/min
Step-by-step explanation:
A linear relationship can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If the line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
Then we just need to look at the graph and find two points that belong to the graphed line (not the points) and estimate the slope
We can see that the line passes near the points (14 min, 14°C) and (18 min, 16°C)
Then the slope is:
a = (16°C - 14°C)/(18 min - 14 min) = (2°C)/(4 min) = (1/2) °C/min
Answer:
what were the answers? IStep-by-step explanation:
If ∠2 is 70˚, what is the measure of ∠4?
Answer:
Step-by-step explanation:
If the measure of angle A is 70 degrees, then what is the measure of the supplement of the complement of angle A? 12
The measure of ∠4 is 20° when ∠2 is 70˚
What is Angle?An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
An angle is the figure formed by two rays,
The given angle ∠2 = 70°
Complementary angles : A Pair of angles whose sum is 90°
So, Let the complement of ∠A be x
So, ∠2+∠4 = 90°
70°+∠4 = 90°
∠4= 20°
Hence, the measure of ∠4 is 20°
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Help plz I just need the answer
Answer:
x = 7
Step-by-step explanation:
what is the median of 77, 84, 85, 88, and 99?
Answer:
86.6
Step-by-step explanation:
77+84+85+88+99=433
433/5=86.6
Answer:
2.5 OR 2 1/2
Step-by-step explanation:
77, 84, 85, 88, 99
5 numbers
5/2= 2.5
A hot air balloon holds 2,200 cubic meters of helium. The density of helium is 0.1785 kilograms per cubic meter. How many kilograms of helium does the balloon contain, rounded to the nearest tenth of a kilogram? (5 points) 2,199.8 kg 11,195.9 kg 392.7 kg 2,200.2 kg
392.7
To get the answer multiply Density * Volume
Mass = 0.1785 * 2200
Mass = 392.7
The amount of helium present in the hot air balloon = 392.7 kg
Formula to calculate density:d = mass / volume
Given: volume of helium present in a hot air balloon = 2200 cubic meters
density of helium = 0.1785 kilograms per cubic meter
Let, m represents the amount of helium present in the balloon.
Using the formula of density,
density of helium = mass of helium / volume of helium
⇒ 0.1785 = m / 2200
⇒ m = 0.1785 × 2200
⇒ m = 392.7 kg
Therefore, option (c) is the correct answer.
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A six-sided number cube is rolled. Event A consists of rolling an even number. Event B consists of rolling a number greater than four. Match the correct sample space to each event.
1. {2, 4, 5, 6}
2. {1, 3, 5}
3. {5, 6}
4. {6}
5. {4, 5, 6}
6. {2, 4, 6)
A. Complement of A
B. Union of A and B
C. B
D. Intersection of A and B
ASAP!!!! PLEASE!!!!!
Answer:
A-2
B-1
C-3
D-4
Step-by-step explanation:
Got it right on Edmentum
Answer:
A. 2
B. 1
C. 3
D. 4
Step-by-step explanation:
A.
A = {2, 4, 6}
Complement of A = {1, 3, 5}
Answer: 2
B.
A = {2, 4, 6}
B = {5, 6}
A U B = {2, 4, 5, 6}
Answer: 1
C.
B = {5, 6}
Answer: 3
D.
A ∩ B = {2, 4, 6} ∩ {5, 6} = {6}
Answer: 4
How to get an area for this shape
Answer:
A = 135 cm²
Step-by-step explanation:
The figure is composed of 2 triangles.
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
The total area is the sum of the area of both triangles
A = [tex]\frac{1}{2}[/tex] × 18 × 7 + [tex]\frac{1}{2}[/tex] × 18 × 8
= 9 × 7 + 9 × 8
= 63 + 72
= 135 cm²
Gerard paid $10 for one dozen pomegranates costing 75¢ each.
How much should he get back in change?
Solve the factorial.
The factorial \(4!\) is equal to
Answer:
4! = 24
Step-by-step explanation:
[tex]4! = 4 * 3 * 2 * 1 \\\\4! = 12 * 2 * 1\\\\4!= 24 * 1\\\\\boxed{4!=24}[/tex]
Hope this helps.
Answer:
24
Step-by-step explanation:
I just did the same lesson and got it right
In this table, Davis recorded how far he could throw balls of different weights.
He modeled the data with a linear best-fit function. He can throw a certain ball 30 feet. Approximately how many pounds would this ball weigh?
a. 7.5 pounds
b. 8.1 pounds
c. 8.6 pounds
d. 9.1 pounds
Answer:
Option C
Step-by-step explanation:
By using linear best fit calculator for the given data,
Equation of the line of best fit will be,
y = -5.2514x + 74.94413
Here, x = Weight of the ball
y = Distance thrown by Davis
Now substitute y = 30 feet to calculate the weight (x) of the ball.
30 = -5.2514x + 74.94413
5.2514x = 74.94413 - 30
5.2514x = 44.94413
x = 8.5585
x ≈ 8.6 pounds
Therefore, David can throw a ball 30 feet weighing 8.6 pounds.
Option C will be the answer.
what dose (-1/4) * (1/3)=
Answer:
7/12
Step-by-step explanation:
The perimeter of a rectangle is 48cm. its length is 4 cm. what is its width?
Answer:
P = 48
4 + 4(two given lengths) = 8
48(perimeter) - 8(length of two given lengths) = 40(length of two unknown sides)
40(length of two unknown lengths) divided by 2(two missing sides) = 20 cm
a farmer has 20,000 soybeans seeds he has already planted 6,000 seeds he is planting 2,000 seeds on each acre of land how many acres can the framer plant with the remaining seeds
Answer:
acres he can plant with remaining seeds
Step-by-step explanation:
i got it correct on ttm
Answer:
acres he can plant with remaining seed
How do I find the indicated value for this problem?
Answer: just want points tbh
Step-by-step explanation:
For some reason it didnt let me upload as text so here you go.
In an arithmetic sequence, the 10th term is 37, and the 21st term is 4. Find the common difference and the first term
Answer:
Common difference is 3. And the first term is 64.
Step-by-step explanation:
The differnce between 21 and 10 is 11. So there are 11 unknown numbers in between. And the difference between 37 and 4 is 33. 33/11 is equal to 3. So the pattern is minus three. the first term is 9 terms before 37. 9 times 3 is 27. 37+27 is equal to 64. so the first term is 64
This is the graph of f(x). What is the value of f(2)?
A. 8
O O
B. 4
C. 2
D. 16
Answer:
c.2
Step-by-step explanation:
f(x)=2 and where is x you place it with 2 and it won't change because there is no another number is the equation of f(X)
A PlayStation 5 originally sells for $499.99. If you can only find them on eBay for $899.99, what is the percent of increase from the original price?
Answer:
There would be an 80% increase from 499.99 to 899.99.
What is the angle and the answer pls this is a quiz grade
Answer:
b is equal to 132
because of the transversal rule, b and 132 are corresponding angles, which means that they are equal to the same measure
hope this helps :)))
ur lucky at least ur math teacher gives you fun assignments to do to solve a murder mystery
my teacher has us doing 4 page review guides for finals
A rock is dropped from a hot air balloon at a height of 100 meters. The rock's
height from the ground in meters, h(t), is modeled by the formula
h(t) = -4.9ť + 100, where t is the time in seconds.
What is the average rate of change in m/s of the height of the rock between 2 and
4 seconds?
A. -4.9
B. -9.8
c.-29.4
D. -58.8
Answer:
-29.4
i was told trust me ig?
The average rate of change in m/s of the height of the rock between 2 and 4 seconds is -4.9.
What is average?The average is defined as the mean value of the given data which is equal to the ratio of the sum of the data value to the total number of units present in the data.
Average = the sum of the data value / the total number of units
The rock's height from the ground in meters, h(t), is modeled by the formula h(t) = -4.9ť + 100,
where t is the time in seconds.
At t = 2 seconds
h(t) = -4.9ť + 100
h(t) = -4.9(2) + 100
= 90.2
At t = 4 seconds
h(t) = -4.9ť + 100
h(t) = -4.9(4) + 100
= 80.4
The average rate of change in m/s of the height of the rock is between 2 and 4 seconds
= 80.4 - 90.2 / 2
= - 4.9
Thus, the correct option is A.
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