Answer:-87
Step-by-step explanation
-24.91 times 3 1/2 equals -87
The change in height after 3 and 1/2 seconds will be 87 meter.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Given that remote-control airplane is descending at a rate of 24.91 meters per second.
We need to multiply the rate and height will be;
-24.91 x 7/2 = -87 m
Hence, the change in height after 3 and 1/2 seconds will be 87 meter.
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
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What is the Negative reciprocal of -2/3?
Answer:
3/2
Step-by-step explanation:
"Negative" means take the opposite sign.
"reciprocal" means flip it over.
When Derrick turned 15, his grandparents put $10,000 into an account that yielded 4% interest, compounded quarterly. When Derrick turns 18, his grandparents will give him the money to use toward his college education. How much does Derrick receive from his grandparents on his 18th birthday?
Answer:
Derrick receive $11268.25 from his grandparents on his 18th birthday
Step-by-step explanation:
We are given Derrick turned 15, his grandparents put $10,000 into an account that yielded 4% interest, compounded quarterly.
When Derrick turns 18, his grandparents will give him the money to use toward his college education.
Principal = $ 10000
Time = 18-15 = 3 years
Rate of interest = [tex]4\% = 0.04[/tex]
No. of compounds per year = 4
[tex]Amount = P(1+\frac{r}{n})^{nt}\\Amount=10000(1+\frac{0.04}{4})^{4 \times 3}\\Amount =11268.25[/tex]
Hence Derrick receive $11268.25 from his grandparents on his 18th birthday
There are 2,100 bacteria in a circular petri dish. The dish has a radius of 40 millimeters. What is the approximate population density? (Use 3. 14 for π) Area of a circle = πr2 0. 02 bacteria per square millimeter 0. 42 bacteria per square millimeter 2. 39 bacteria per square millimeter 52. 5 bacteria per square millimeter.
Answer:
B) 0.42
Step-by-step explanation:
population density=number of people/square units
we plug in 2,100 for the first one but we don't know the second one for that we need the area which is A=π[tex]r^{2}[/tex] so the radius is 40 millimeters so [tex]40^{2}[/tex] =1600 1600*π=5024
2,100/5024=0.417 round it up and it is 0.42
so B) 0.42 is the answer
Is the point (1, -3) a solution to the system? Show all work.
y<x-1 y>-x+2
Answer:
Well i don't have a notebook but i can tell you how to graph it
Step-by-step explanation:
First of all its dotted lines since ther arent less than/greater than or equal to
then the first equation is shaded down with a y intercept of -1 and a slop of 1
the second equation opens up has a slope of -1 and a y intercept of 2
To answer your question no it's not.
0.283 + 35 =
adding decimals
Answer:
35.283
Step-by-step explanation:
Let's put it in a vertical format;
35
0.283
35 plus 0 = 35, and the rest will remain same, so the answer is 35.283
Need help ASAP please
Part 1:
You started saving for a car when you were in middle school. You have done some research and discovered that it will cost you about $9,500 for a used car that would fit your needs. You were encouraged to invest some of your savings to help you get to your financial goal faster. So far you have saved $7,500. If you invest this money in a savings account with a 3.3% interest rate compounded annually, how long will it take to earn enough money to go purchase the car? Use the compound interest formula A = P (1 + i)n, where A is the accumulated amount, P is the principal, i is the interest rate per year, and n is the number of years. Round your final answer to the nearest tenth.
Answer:
7.3 years.
Step-by-step explanation:
A = P(1 + i)^n
9500 = 7500(1 + 0.033)^n where n = number of years.
1.033^n = 9500/7500
n log 1.033 = log(9500/7500)
n = log(9500/7500)/log 1.033
n = 7.28 = 7.3.
Solve 2y + 17 = 6y + 5
Answer:
3
Step-by-step explanation:
2y - 6y = 5 - 17
-4y = -12
y = 3
Find the slope of the line that passes through (8, 13) and (10, 10).
Answer:
-3/2
Step-by-step explanation:
use slope formula
y1-y2/x1-x2
PLEASE HELP ASAP
A city starts with a population of 500,000 people in 2007. Its population declines according to the equation
P(t) = 500,000e -0.099t
where P is the population in t years later. Approximately when will the population be one-half the initial amount?
Answer:
Step-by-step explanation:
Given the exponential function:
P(t) = 500,000 * e^(-0.099t)
P(t) = population t years later
When population will be one-half the initial amount
Half the initial amount = 500000/2 = 250,000
250000 = 500000 * e^(-0.099t)
250000/50000 = e^(-0.099t)
0.5 = e^(-0.099t)
Take the In of both sides
In(0.5) = - 0.099t
−0.693147 = - 0.099t
0.693147 / 0.099 = t
t =
(-3/8) times 1 times (-9/10) times -8/3
Step-by-step explanation:
-3/8 × 1 × -9/10 × -8/3
we know
- × - = +
+ × - = -
therefore, since we have 3 negative factors we get a negative result.
we can ignore the completely neutral multiplication by 1.
-3/8 × -9/10 × -8/3 = -(3×9×8)/(8×10×3) = -9/10
How to make 20 using the number 3,5,6,3
Answer:
5+6 +(3*3)
Step-by-step explanation:
If you are allowed to mix the numbers then
5 + 6 + (3*3)
5+6 = 11
3*3 = 9
11+9 = 20
Hope this helps
If a basketball player made 72 out of 85 free throws attempts how many could she make in 200 attempts
Answer:
169
Step-by-step explanation:
Use a proportion:
72/85=x/200
Solve for x
(72)(200)=85x
x=(72)(200)/85
x=169.41≈ 169
She can make 169 of 200 free throws.
How to find area and circumference
Answer:
Step-by-step explanation:
Circumference: Pi(D)
Circumference: 3.14x30
Circumference: 94.2
Area: Pi(R)^2
Area: 3.14x15^2
Area: 3.14x225
Area: 706.5
What value makes the equation below true?
1/8−(−5+3/4)=x+1
A
−5 1/8
B
2 1/8
C
3 3/8
D
3 1/8
Answer:
C. 3 3/8
Steps:
1/8-(-5+3/4)= x + 1
1/8 - (-20+3/4) = x+ 1
1/8 - (-17/4)=x+1
1/8 +17/4= x + 1
1+17x2 /8= x+1
1+34 /8= x+1
35/8 = x + 1
x= 35/8 -1
x= 35-8 /8
x=27/8
x=3 3/8
A b c or d either one of those if it isn’t abc then it’s d just lmk
Answer:
A. 3680.32 inches³
Step-by-step explanation:
To find the volume of this shape, all we have to do is multiply the length width and height together:
v = l × w × h = 15.5 × 11.2 × 21.2 = 3680.32 inches³
Hope this helps!
The rid Daaé’s Grave is 6min long. Dave thinks that the first ¼ of the ride was the most fun. How many minutes were the most fun for Dave. Solve Algebraically.
100 points first correct answer gets Brainlyest.
Answer:
Dave had most fun for 1.5 minutes.
explanation:
Let the "fun time" be f
total time * portion of time fun = fun time
[tex]\sf t * p = f[/tex]
[tex]\sf 6 \ * \frac{1}{4} = f[/tex]
[tex]\sf \frac{6}{4} = f[/tex]
[tex]\sf f = 1.5 \ minutes[/tex]
Question was for how many minutes, Dave had fun, so he had fun for 1.5 minutes
Let that half be x
So
[tex]\\ \rm\Rrightarrow x(4)=6min[/tex]
[tex]\\ \rm\Rrightarrow x=6/4[/tex]
[tex]\\ \rm\Rrightarrow x=1.5min[/tex]
The ratio of the sides of a triangle is 2:4:7. If the perimeter of the triangle is 182 cm what is the longest side?
Answer:
98 cm
Step-by-step explanation:
sum the parts of the ratio , 2 + 4 + 7 = 13 parts
divide perimeter by 13 to find the value of one part of the ratio.
182 ÷ 13 = 14 cm ← value of 1 part of the ratio , then
2 parts = 2 × 14 = 28 cm
4 parts = 4 × 14 = 56 cm
7 parts = 7 × 14 = 98 cm
the longest side is 98 cm
need help with 3 and 4
I don’t have a question but both of the answers are wrong i just did it right now and i got it wrong but it said the answer is 6
Answer:
ok
Step-by-step explanation:
! Please Hurry Offering 40 points No links!
In 1970 about 2,170,000 U.S. workers worked at home. During the next ten years, the number of workers working at home increased 4% per year.
Use y=a(1+r)^t
A) Write a model giving the number w (in millions) of workers working at home t years after 1970.
B)Find the number of workers working at home in 1980.
If you have any questions about what it is asking, please put them in the comments, rather than posting an answer asking a question
Answer: a) y= 2,170,000(1+0.04)^10
b) 3,212,130 U.S. workers working at home.
Step-by-step explanation:
Step-by-step explanation:
initial amount: 2,170,000
rate of growth: 4%, or 0.04
time: 10 years
Using this information we can use the formula y=a(1+r)^t to figure out the answer.
After plugging in the amounts, we end up with the equation: 2,170,000(1+0.04)^10
Now, all that's left is to calculate. The final amount is 3,212,130
(b)Newton has bought 12 dozen copies in Rs 4320. His expenditure to bring the copies
to his shop is Rs. 288. How much profit does he make in one copy after selling all
copies in Rs. 5760? Also how much profit in percent did he get in the business of
copy? Find it.
Answer:
30%
Step-by-step explanation:
4320 - 288 = 4032
4032/12 =336 per copies
So, he sold them in 5760
5760 - 4032 = 1728
(1728/5760)*100 = 30%
1) A train travels 200km is 5 hours, at this same speed how much time would it take to travel in 600km?
2) If 2 men can weed a compound in 6 days, then how long would it take 4 men working at the same rate to weed the compound?
3) If 3 men can mow a large piece of lawn in 4 days, then how long would it take 2 men working at the same rate mow the same lawn?
4)Lia can string 48 beads in 3 minutes, at this same place, how many beads could she string in 1 minute?
Answer:
it will travel 9 hour in 600miles
it will take 4 men to weed the same compound in 2 days
it will take 2 men to now a large piece of law in 3 days
Step-by-step explanation:
it
A worker is paid Rs. 2600 for 21 days work. If his total income of the month is Rs. 2400, for how many days he didn't work? I need it please
Step-by-step explanation:
please mark me as brainlest chelli
A factory machine produces kilograms of chocolate every minutes.
At what rate does the machine produce chocolate?
Answer:
1,000g:60sec
or 10 gram every singular second.
Step-by-step explanation:
A store gets a shipment of 1000 light bulbs. Due to a manufacturing problem, 200 of the bulbs are defective, but the store's manager is not aware of this. As she always does, however, the manager will check a sample of the bulbs to look for potential problems. How can she choose a sample of the bulbs to represent the shipment?
Answer:
Use a simple random sampling technique.
Step-by-step explanation:
Sampling is a procedure applied in statistical analysis where a fixed number of data (observations or individuals) are selected from a superior population. The approach used to select a sample from a population is determined on the basis of the type of analysis being executed.
To test for defective bulbs the store manager has to select a sample. She can select a sample of size n from the 1000 bulbs using the simple random sampling technique.
A simple random sample is a part of a statistical population in which every individual of the population has an equal probability of being selected.
Assigning each individual of the population a unique number and using a computer or random number generator for selection is a procedure to select a simple random sample.
Which linear equation has no solution?
3/2 (9x +6) 3
5x + 12 = 5x -7
4x + 7 = 3x + 7
-3(2x - 5) = 15 - 6x
9514 1404 393
Answer:
5x + 12 = 5x - 7
Step-by-step explanation:
There will be no solution when the coefficients of x are the same on both sides of the equal sign and the constants are different. That is the case for ...
5x + 12 = 5x - 7
This reduces to ...
19 = 0 . . . . . no value of x will make this be true: NO SOLUTION
PLEASEEEEEEE HELPPPP!
Answer:
(3, 6)
Step-by-step explanation:
1. If any factors can be cancelled out, then this indicates that there are holes in the graph.
2. To find the x-coordinate of the hole, set the factor equal to zero and solve for x.
3. Find the y-coordinate by substituting the x-coordinate back into the "reduced" function.
Here are the steps:
[tex]f(x) = \dfrac{ { x }^{ 2 } -9 }{ x-3 }[/tex]
Factor the top part of the function
x² - 9
Since both terms are perfect squares, factor using the difference of squares formula, a² - b² = (a + b) (a - b) where a = x and b = 3
(x + 3) (x - 3)
Now that we have the top part of the function factored, we can solve the rest of the problem:
[tex]f \left( x \right) = \dfrac{ \left( x+3 \right) \left( x-3 \right) }{ x-3 }[/tex]
Set the factor "x - 3" equal to zero and solve for x
x - 3 = 0
Add 3 to both sides
x - 3 + 3 = 0 + 3
Simplify
x = 3
Now we need to solve for "y"
[tex]f \left( x \right) = \dfrac{ \left( x+3 \right) \left( x-3 \right) }{ x-3 }[/tex]
We change "f(x)", to "y"
[tex]y = \dfrac{ \left( x+3 \right) \left( x-3 \right) }{ x-3 }[/tex]
The two "x - 3" cancel out
y = x + 3
Substitute the x-value into the equation
y = 3 + 3
Add 3 and 3
y = 6
Now that we have our coordinates, we can write it as:
(x, y) = (3, 6)
So the answer is (3, 6)
what is the volume of a right rectangular prism with a base that measures 4 in by 6 in. and a height of 7 in? a) 17 in.3. b) 51 in.3. c) 84 in.3. d) 168 in.3.
Answer:
d) 168 in.³
Step-by-step explanation:
volume = length × width × height
volume = 6 in. × 4 in. × 7 in.
volume = 168 in.³
Answer: d) 168 in³
Step-by-step explanation:
The volume of a right rectangular prism can be found by multiplying the base (the length times the width) by the height. Since we are given all the values needed, we can multiply them all together and find our answer.
V = length * width * height
V = 4 in * 6 in * 7 in
V = 168 in³
This gives us an answer of "d) 168 in³"
Please help (and explain why the answer is right) i'd appreciate that
Answer:
a is the answer................. :P
Step-by-step explanation:
slope = rise/run
rise=2
run=4
rise/run= .5
and it intercepts y-axis at -5
Which system of equations is equivalent to this system? 5x+10=3(x+y) x+7=3x+7
Answer:
In equation form the answer is x=0y=10/3 but in point form the answer is (0,10/3)
Step-by-step explanation: