Answer:
a) P = 5000(1.014)^y
b) 5,908
Step-by-step explanation:
Here, we want to write an exponential growth model;
a)The model will be represented as;
P = 5000( 1.014)^y
where P is the population at a particular year after 2010
y is the number of years after 2010
b.) For 2022;
y = 2022-2010 = 12
P = 5000(1.014)^12
P = 5,908 approximately
Pressure is force divided by area calculate the force when the pressure is 18N/m^2
Answer:
hi
Step-by-step explanation:
1+1=2
The table shows a relationship between x and y. What is the constant of proportionality, k, which relates the variable y to the variable x?
Answer:
F. [tex] \frac{3}{4} [/tex]
Step-by-step explanation:
Constant of proportionality, k, = [tex] \frac{y}{x} [/tex]
The ratio of each given of values on the table will give you the same value, which represents k.
Thus, using the pair, (2, 1.5), k can be calculated as follows:
[tex] k = \frac{y}{x} = \frac{1.5}{2} [/tex]
Multiply the numerator band denominator by 10 to eliminate the decimal point.
[tex] = \frac{1.5*10}{2*10} = \frac{15}{20} [/tex]
Simplify
[tex] k = \frac{3}{4} [/tex]
Find intervals of which
Answer:
Step-by-step explanation:
( - ∞, - 7), (-3, 5)
1 point
A manufacturing plant has 60
supervisors. If 27 of the supervisors are
men, then
O 45% are women
55% are men
55% are women
O 75% are men
O 75% are women
Answer:
55% are women
Step-by-step explanation:
27÷60= 0.45
0.45x100=45
100-45=55
45% men
55% women
There are 55% are women if the manufacturing plant has 60 supervisors. If 27 of the supervisors are men, option third is correct.
What is the percentage?It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.
We have:
A manufacturing plant has 60 supervisors. If 27 of the supervisors are men.
The number of women = 60 – 27 = 33
The percent of women = (33/60)×100
= 0.55×100
= 55%
Thus, there are 55% are women if the manufacturing plant has 60 supervisors. If 27 of the supervisors are men, option third is correct.
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If f(x) = 2x2 − 10, find f(5). (1 point)
a
90
b
10
c
7.5
d
40
Answer:
D 40
Step-by-step explanation:
2x^2-10 if (5)
2(5)^2-10
2(25)-10
50-10
40
A kayak is marked down 25% at academy. If it’s regular cost was $550, what’s the sales price?
PLEASE BE CORRECT
Answer:
$412.50
Step-by-step explanation:
[tex]550(1 - .25) = 550(.75) = 412.50 \\ [/tex]
4. Divide, using synthetic division: 16x^3 +80x^2+x+5/x+5
Part l: Show the proper setup of the problem, placing coefficients and divisors
in their proper places (4 points)
Part II: Carry out the division problem, and write the quotient in proper
polynomial notation. (6 points)
Answer:
Step-by-step explanation:
x+5=0
x=-5
-5) 16 80 1 5
| -80 0 -5
____________
| 16 0 1 | 0
quotient=16x²+1
Remainder=0
Find the slope from the pair of points. (-5, -1) (5,-4)
Answer:
-3/10
Step-by-step explanation:
-4--1= -3
5--5= 10
for the function of F defined by f (x) = x + 8. what is the value of x when f (x) = 10
Answer:
x = 2
Step-by-step explanation:
f(x) = x + 8
f(x) = 10
10 = x + 8
minus 8 from the both sides
10 - 8 = x
2 = x
x = 2
4x^4 + 9x^3 - 3x^2 - 18x - 10
(04.06 LC)
Identify the type of sequence shown in the table below and select the appropriate response. (5 points)
n f(n)
1 48
2 −96
3 192
4 −384
5 768
a
Arithmetic sequence; common difference is 96
b
Arithmetic sequence; common difference is −144
c
Geometric sequence; common ratio is 3
d
Geometric sequence; common ratio is −2
Answer:
d Geometric sequence; common ratio is −2
Step-by-step explanation:
Identifying Sequences
There are two possible types of sequences to choose from, Arithmetic and Geometric.
The arithmetic sequences are identified because each term is obtained by adding or subtracting a fixed number to the previous term. This number is called the common difference.
In the geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.
The given sequence is:
48, -96, 192, -384, 768,....
To identify the type of sequence, we could try subtracting the second term from the first, the third from the second, etc. If those differences were constant, it would be an arithmetic sequence.
In this case, it's not necessary because the sign of the terms is alternating. It can only be possible with geometric sequences with a negative common ratio.
Dividing the second by the first term:
r = -96 / 48 = -2
Dividing the third by the second term:
r = 192 / -96 = -2
The rest of the divisions of successive terms lead to the same common ratio, thus, the answer is:
d Geometric sequence; common ratio is −2
Which two ratios represent quantities that are proportional
Answer:
Option D
Step-by-step explanation:
As, 15/10 = 3/2
And also 21/14 = 3/2
They are equal!
Answer:
D
Step-by-step explanation:
i got it right
slope =-1/5, y - int = -1
Help!!!
Answer:
DANG that mountain steep as hell. Cant help with that sorry.
Step-by-step explanation: Too steep for mes to walk on.
pls help me
macth the words with the defonitions\ math
Answer:
Do what the 6th grader said
Step-by-step explanation:
They smart
a.5÷4 divide and show work
Answer:
1.25
Step-by-step explanation:
1.25
THATS THE ANSWER
✨✨✨✨✨✨✨✨
(HELP!!) Please Factor Completely
WHY I HHAVE FAT CHIKIN HE DO NOTHIG HE IS REALLY FAT AND HEVY HE MO LAY WGG EITHER TELL ME WHY HOW I MAKE HIM NO FAT
Brittany needed new tires for her truck. She went to the auto shop and bought 4 tires on sale for $85.95 each. The salesman told her that she saved a total of $96.16. If Brittany saved the same amount on each tire, what was the original price of each tire?
Answer:
Answer: $109.99
Step-by-step explanation:
The total amount saved, $96.16, should be divided by the number of tires, 4. The answer is $24.04. Add $24.04 to the price of a single tire, $85.95, and the answer is $109.99, the original price of one tire.
Use the distributive property to remove the parentheses. -8 ( -6x - y + 4
Answer:
−48x+8y−32
Step-by-step explanation:
−8(6x−y+4)
=(−8)(6x+−y+4)
=(−8)(6x)+(−8)(−y)+(−8)(4)
=−48x+8y−32
A cylindrical can, open at the top, is to hold 200 cm3 of liquid. Find the height and radius that minimizes the amount of material needed to manufacture the can.
Answer:
h = 5.42
r = 5.42
Step-by-step explanation:
Find h with respect to r:
V = πr²h = 500
h = 500/πr²
Plug this into the surface area equation:
SA = πr² + 2πrh
= πr² + 2πr(500/πr²)
= πr² + 1000/r
Differentiate and set to 0, solve for r:
dSA/dr = 2πr - 1000/r² = 0
2πr = 1000/r²
r³ = 500/π
r = (500/π)^1/3
≈ 5.42 cm
find h:
h = 500/πr²
= 500/[π(5.42)²]
= 5.42cm
Alonso brings $21 to the market to buy eggs and avocados. He gets eggs that cost $2.5. Then he notices that the store only sells avocados in bags of 3 for $5. He wants to buy aS many avocados as he can with his remaining money. What is the largest number of avocados that Alonso can afford
Answer:
Step-by-step explanation:
21≤2.50+5s subtract 2.50 from both sides
18.50≤5s divide by 5
s≥3.7 he can buy up to 3 bags at $5 each
Alonso brings $21 to the market to buy eggs and avocados. He gets eggs that cost $2.50. Then he notices that the store only sells avocados in bags of 3 for $5. He wants to buy as many avocados as he can with his remaining money. What is the largest number of avocados that Alonso can afford?
Answer:
9 avocados
Step-by-step explanation:$21.00 - $2.50 = $18.50
3 × $5.00 = $15.00
$18.50 - $15.00 = $3.50
$15 = 3 bags of avocados = 3 bags × 3 avocados = 9 avocados
Determine the slope and y-intercept of a line that passes through the points (-2, 12) and (4, -15).
Step-by-step explanation:
y²-y¹/x²-x¹
(-15)-(12)/4-(-2)
-3/6
=-0.5
y=mx+b
12=-0.5(-2)+b
12=1+b
12-1=b
11=b
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
The slope of the line that passes through the points (-2, 12) and (4, -15) is -27/6
The y-intercept of the line that passes through the points (-2, 12) and (4, -15) is 3
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of a line is y = mx + c.
The slope can be calculated.
Slope = (d - b) / )(c - a)
Where (a, b) and (c, d) are the two points on the line.
The line passes through (-2, 12) and (4, -15)
This means,
Slope = (-15 - 12) / (4 + 2) = -27 / 6
m = -27/6
The line passes through the point (-2, 12).
12 = -27/6 x -2 + c
12 = 9 + c
c = 12 - 9
c = 3
Thus,
The slope of the line that passes through the points (-2, 12) and (4, -15) is -27/6
The y-intercept of the line that passes through the points (-2, 12) and (4, -15) is 3
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Given that events A and B are independent with P(A)=0.3P(A)=0.3 and P(A\cap B)=0.216P(A∩B)=0.216, determine the value of P(B)P(B),
Answer:
0.72
i got it wrng and this was the correct answer
Step-by-step explanation:
PLEASE HELP
Which of the following are ordered pairs for the given function?
Select all that apply.
f(x) = 1 + x
(1, 2)
(3.3)
0 (0, 2)
(1, 0)
(0,1)
9514 1404 393
Answer:
(1, 2)
(0, 1)
Step-by-step explanation:
The function tells you the second number of the pair will be one more than the first number of the pair. That is, the pair will be ...
(x, 1+x)
Appropriate choices are ...
(1, 2)
(0, 1)
A bus covers 270 km distance in 6hrs i) Find the speed of the bus in the km/per hr ii) how many kilometer does it travel in 9hrs at the same speed? (Unitary method)
Answer:
Distance=Speed×Time
When speed is 40 kmph
Distance traveled by car =40×9
=360 km
When speed is 60 kmph
Time taken to complete the journey =
60
360
=6 hours
Answer:
270 ÷ 6 = 45
45 x 6 = 270
45 x 9 = 405
The answer is 405
Hope it helped❤️
A baby's t-shirt requires 4/5 yards of fabric. How many t-shirts can be made from 48 yards? Answer =
Answer:
60 t-shirts
Step-by-step explanation:
48 divided by 4/5
= 60
PLEASE HELP ME
what is the missing step in this
Answer:
Step-by-step explanation:
I can't read this well. Is it (x-y)^2+ (x^2+2+y^2)?
Answer:
Step-by-step explanation:
[tex](x - y) ^{2}[/tex] + ([tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex])
(x - y) (x - y) + ([tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex])
[tex]x^{2}[/tex] + [tex]y^{2}[/tex] - xy -xy + ([tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex])
[tex]x^{2}[/tex] + [tex]y^{2}[/tex] -2xy + ([tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex])
[tex]x^{2}[/tex] + [tex]y^{2}[/tex] -2xy + [tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex]
[tex]x^{2}[/tex] + [tex]y^{2}[/tex] + [tex]x^{2}[/tex] + [tex]y^{2}[/tex]
[tex]2x^{2}[/tex] + [tex]2y^{2}[/tex]
2([tex]x^{2}[/tex] + [tex]y^{2}[/tex] )
hope this helps!
The statue of liberty is 305.5 feet tall from the foundation of it pedestal to the top of its torch Isla is building a model of the statue the model will be one hundreth times as the actual model how tall will the model be
Answer: The actual model is 3.055 feet tall.
Step-by-step explanation:
Given: The statue of liberty is 305.5 feet tall from the foundation of it pedestal to the top of its torch .
The height of the model of the statue = [tex]\dfrac{1}{100}\times\text{ (Height of actual model)}[/tex]
[tex]=\dfrac{1}{100}\times305.5\\\\=3.055\text{ feet}[/tex]
Hence, the actual model is 3.055 feet tall.
I didn’t pay attention to class cause I had to make my sister lunch today can someone explain what that is ? I’ll give brainlest
Answer:
Definitely not a function.
Step-by-step explanation:
Answer:
Not a function.
Step-by-step explanation:
Its not a function because there are two outputs (i.e. when you draw a vertical line in the diagram, you cross over the curve to times)
A function has ONLY ONE INPUT AND OUTPUT.
There are 60 seconds in a minute and 60 minutes in an hour. How many seconds are in one hour? *
Answer:
there are 3600 seconds in one hour