Answer:
9 months
Step-by-step explanation:
peter is saving 35 dollars per month.
295=35x
295/35=8.42 which is less than 295
9 is an approximate answer
35*9 equals 315, which is enough to pay 295 and have 20 dollars left over
Can you please help me?
Answer: 325
Step-by-step explanation:
All your doing is multiplying
Answer:
The answer is 325
Step-by-step explanation:
the problem directly tells me that c(x)= 50x is how many words i can type in x minutes. then proceeds to ask me how many words i can type in 6.5 minutes.
in this case, x=6.5.
substitute and solve!
c(6.5)= 50(6.5)
c(6.5)= 325
according to this function, i can type 325 words in 6.5 minutes.
hope this helps!!
Which choice represents 673.983 rounded to nearest hundredth
Answer: 673.98
Step-by-step explanation: The 8 is the hundredth place, and anything less than five you don't round up
6c.) Consider the functions f(x) = -2x + 1 and g(x) = 4x - 5
Now find g(3).
Answer:
7
Step-by-step explanation:
g(x)=4x-5
g(3)= 4(3)-5
=12-5
=7
Answer:
g(3)=4x-3
Step-by-step explanation:
put 3 into x
know g(3)=4x-3=4×3-1=12-1=11
11 will be the answer
Let X be an exponential random variable with parameter λ=2 . Find the values of the following. Use 'e' for the base of the natural logarithm (e.g., enter e^(-3) for e−3 ).
a) E[(3X+1)2]=
b) P(1≤X≤2)=
Answer:
a
[tex]E[(3X+1)^2]= 8.5 [/tex]
b
[tex]P(1 < X < 2)=0.1170 [/tex]
Step-by-step explanation:
From the question we are told that
The parameter of X is [tex]\lambda = 2[/tex]
Generally the expected value of X is
[tex]E(X) = \frac{1}{\lambda }[/tex]
[tex]E(X) = \frac{1}{2}[/tex]
=> [tex]E(X) = 0.50 [/tex]
Generally we have that
[tex]E(X^2) = E(X)^2 + E(X)^2[/tex]
=> [tex]E(X^2) = [\frac{1}{2}] ^2 + [\frac{1}{2} ]^2[/tex]
=> [tex]E(X^2) = 0.5 [/tex]
Generally
[tex]E[(3X+1)^2]= E(9x^2 + 1 + 6x)[/tex]
=> [tex]E[(3X+1)^2]= 9E[X^2] + 1 + 6 E[X])[/tex]
=> [tex]E[(3X+1)^2]= 9* 0.5 + 1 + 6 * 0.5 [/tex]
=> [tex]E[(3X+1)^2]= 8.5 [/tex]
Generally
[tex]P(1 < X < 2)= P(X < 2) - P(X < 1)[/tex]
Here [tex]P(X < 2 ) = e^{- 2 * \lambda }[/tex]
=> [tex]P(X < 2 ) = e^{- 2 * 2 }[/tex]
=> [tex]P(X < 2 ) = e^{- 4}[/tex]
and
[tex]P(X < 1 ) = e^{- 1 * \lambda }[/tex]
[tex]P(X < 1 ) = e^{- 1 * 2 }[/tex]
[tex]P(X < 1 ) = e^{-2 }[/tex]
So
[tex]P(1 < X < 2)= e^{-2 } - e^{- 4} [/tex]
[tex]P(1 < X < 2)=0.1170 [/tex]
Which of the following is an equivalent form of the compound inequality-33 > -3x - 6 > -6
Answer:
9 < x < 0
Step-by-step explanation:
from 0 to 9 i think
Write a linear equation that is parallel to
line below and passes through the point
(-4,-13)
Answer:
y = 3x - 1
Step-by-step explanation:
Original line: y = 3x + 5
Parallel line has the same slope, so use the point-slope form.
y - (-13) = 3(x - (-4))
y + 13 = 3x +12
y = 3x -1
The equation of the line that is parallel to the line shown in the graph and passes through the point (-4,-13) is y = 2x - 5.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given the graph of the linear equation:
From the graph:
The line passes through (-3, -1) and (0, 5)
The slope of the line is shown in the graph:
m = (5+1)/(0+3)
m = 2
The equation of the line that has slope -2 and passes through (-4, -13):
[y - (-13)] = 2[(x - (-4)]
y + 13 = 2(x + 4)
y + 13 = 2x + 8
y = 2x + 8 - 13
y = 2x - 5
Thus, the equation of the line that is parallel to the line shown in the graph and passes through the point (-4,-13) is y = 2x - 5.
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please hurry I need this fast
Answer:
option #2
Step-by-step explanation:
1. Contaminated water is subjected to a cleaning process. The concentration of the pollutants is initially 5 mg per liter of water. If the cleaning process can reduce the pollutant by 10% each hour, define a function that can represent the concentration of pollutants in the water in terms of the number of hours that the cleaning process has taken place.
Answer:
[tex]C(t)=5\cdot(0.9)^t[/tex]
Step-by-step explanation:
The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function is expressed as:
[tex]C(t)=C_o\cdot(1-r)^t[/tex]
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The concentration of the pollutants starts at Co=5 mg/lt. We also know the pollutant reduces its concentration by 10% each hour. This gives us a value of r = 10% / 100 = 0.1
Substituting into the general equation:
[tex]C(t)=5\cdot(1-0.1)^t[/tex]
Operating:
[tex]\boxed{C(t)=5\cdot(0.9)^t}[/tex]
y(n) = 5(0.9)ⁿ
To answer this, we will make use of the exponential decaying function which is given by;y(n) = a(1 - b)ⁿ
where;
y is the final amount at time n,
a is the original amount
b is the decay factor
x is the amount of time that has passed.
We are told that the initial concentration of the pollutants is 5 mg/LThus;
a = 5 mg/L.
We are told that the pollutant reduces its concentration by 10% each hour. Thus; b= 10%
b = 0.1
Therefore Plugging in the relevant values into y(n) = a(1 - b)ⁿ, we have;y(n) = 5(1 - 0.1)ⁿ
y(n) = 5(0.9)ⁿ
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please help me with the domain and range of the graphs.?part 5
Problem 5
Domain = [tex]-4 \le x \le 3[/tex]
This is because the smallest x value allowed is x = -4 as shown by the left-most point. The right most point has x coordinate x = 3, so this is the largest value in the domain.
The domain in interval notation is [-4, 3]. The square brackets include the endpoint.
--------------
Range = [tex]-4 \le y \le 5[/tex]
We're now looking at the possible y values. The lowest point happens when y = -4 and the highest point is when y = 5. We can have any y value between those endpoints.
The range in interval notation is [-4, 5]
=============================================================
Problem 6
Domain = [tex]-2 \le x < 2[/tex]
Same idea as the previous problem. This time the left most point has x = -2 and the right most point has x coordinate x = 2.
The big difference here is that the open hole says to not include the endpoint. The domain in interval notation is [-2, 2) where we use a parenthesis to not include the endpoint.
-------------
Range = [tex]-4 \le y < 4[/tex]
The smallest possible y value is y = -4. The ceiling for the y values is y = 4, but we can't actually reach this value due to the open hole.
The range in interval notation is [-4, 4)
=============================================================
Problem 7
Domain = [tex]-4 < x \le 2[/tex]
Same idea as earlier. Now the open hole is at the left endpoint. The right most point occurs not at an endpoint this time.
The domain in interval notation is (-4, 2]
-------------
Range: [tex]-4 < y < 4[/tex]
Both endpoints are open holes, so we exclude both endpoints.
The range in interval notation is (-4, 4). Unfortunately in this case, interval notation looks identical to ordered pair notation.
=============================================================
Problem 8
Domain = [tex]-5 < x < 3[/tex]
Domain in interval notation = (-5, 3)
The graph is too blurry to be able to determine the range.
a tank holds 480 gallons of fuel. if it drained at a rate of 120 gallons Per minute, it will be empty in __ seconds
Answer:240 seconds
Step-by-step explanation:
• One class is selling tickets for $3.50 each and has already raised $250.
• The other class is selling tickets for $2.25 each and has already raised $300.
How many tickets does each class have to sell so that the total amount raised is the same for both classes?
Answer:
x=40
Step-by-step explanation:
How do you build a triangle if you are given 3 numbers like 3,4,5. Provide an example besides 3,4,5 or a non-example.
Pattern:
Example:
Answer:
3, 4, and 5 make a right triangle (Pythagorean triple). 3 and 4 are the legs, 5 is the hypotenuse. Another example is 9, 12, 15, with 9 & 12 as the legs and 15 as the hypotenuse on a right triangle.
Step-by-step explanation:
Pythagorean triples (measurements are whole numbers) are always in a 3:4:5 ratio; the longest side is always hypotenuse; the right angle is always opposite of the hypotenuse; the legs will be perpendicular (making right angle)
Please hurry.
Simplify completely.
(2 + 3i)+(-4+1)
A. 2+4i
B. 6+4i
C.-2+2i
D. 6+2i
E. -2+4i
Answer:
3i-1
Step-by-step explanation:
2+3i-3
3i-1
Answer:
-1 + 3i.
Step-by-step explanation:
Hope this helps!
What system works with the circulatory system to provide oxygen to cells?
Integumentary System
Repertory System
Skeletal System
Digestive System
Answer:
Step-by-step explanation:
bro im out n can come scoop
What expression is equivalent to (24+9)
Answer:
welol its in parentheses and no matter what you always do parentheses first and it shows
(24+9) and the answer to that is 33
bc your simply just adding 24+9
Step-by-step explanation:
or if your looking for something similar do
(11+22)
If ΔABC = ΔDEF, angle m∠A = 50, and angle m∠E = 30, what is angle m∠C?
When you indicate triangle congruency, the order of the letters matter. As you see these statements, look at how the side length names correspond to how the letters are written in its order, ΔABC ≅ ΔDEF. (By the way, triangles aren't equal with an = sign. It's a ≅ congruency sign.)
AB is congruent or the same length as DE.
BC is congruent or the same length as EF.
AC is congruent or the same length as DF.
In the same way, all of the angles in the corresponding order are ALSO congruent. By the way, we say that angles are congruent and angle MEASURES (like 30 degrees) are equal.
m∠A = m∠D
m∠B = m∠E
m∠C = m∠F
In the same way, we can try to find m∠C, or measure C!
1. Let's find the missing angle!
So, we know that m∠A is 50 degrees and m∠E is 30 degrees. Since we know that m∠E = m∠B because of the order of the triangles, now we know two of the angles in triangle ABC.
m∠A = 50 degrees
m∠B = 30 degrees
m∠C = 180 degrees - (50 + 30) = 100 degrees
(We minus from 180 degrees because 180 degrees is the sum of the angles in a triangle!)
And that's it! If you have any questions, please feel free to ask questions. I'm not here to judge, and I'm only here to help. Again, ask questions if you need help. It's crucial that you know the basics of geometry!
what
is bigger 2/5 or 0.25
Answer:
2/5 is bigger
Step-by-step explanation:
2/5 is 0.40
The marketing department of a local shoe company found that approximately 550 pairs of running shoes are sold monthly when the price of each pair is $100. It was also observed that, for each $1 reduction in price, an additional 20 pairs of
running shoes are sold monthly. What price should the shoe store charge for a pair of running shoes in order to maximize revenue?
Answer:
The price that maximizes the revenue is $63.75
Step-by-step explanation:
Analyzing the statement one after the other.
[tex]Initial\ Quantity = 550[/tex] ---- When ----- [tex]Initial\ Price = \$100[/tex]
When there's a reduction of $1, we have:
[tex]Quantity = 550 + 20x[/tex] and [tex]Price = 100 - x[/tex]
Where x represents the maximum reduction
At this point, we need to calculate the revenue (R)
[tex]R = Quantity * Price.[/tex]
[tex]R = (550 + 20x) * (100 - x)[/tex]
Open Brackets
[tex]R = 55000 - 550x + 2000x - 20x^2[/tex]
[tex]R = 55000 +1450x - 20x^2[/tex]
Differentiate both sides with respect to x
[tex]\frac{dR}{dx} = 0 + 1450 - 40x[/tex]
[tex]\frac{dR}{dx} = 1450 - 40x[/tex]
To maximize revenue;
[tex]\frac{dR}{dx} = 0[/tex]
So:
[tex]1450 - 40x = 0[/tex]
[tex]1450 =40x[/tex]
Solve for x
[tex]x = 1450/40[/tex]
[tex]x = 36.25[/tex]
Recall that:
[tex]Price = 100 - x[/tex]
Substitute [tex]x = 36.25[/tex]
[tex]Price = 100 - 36.25[/tex]
[tex]Price = 63.75[/tex]
Hence:
The price that maximizes the revenue is $63.75
State the zero of 3x+4y=24
Answer:
jdjcnsixjkskzmdmdmxndm
3. After 6 weeks, who earned more money? How much more money?
Step-by-step explanation:
David earns $8 per hour. He works 40 hours each week. How much does he earn in 6 weeks? . After 6 weeks, who earned more money? How much more money?
he would earn 1,680 because if he works 40 hours per week when you divide by 7 cuz there a 7 days in a week he works 5 hours each day. then we multiply 5 with 8 and it's 40 so he earns 40 dollars per day then if week multiply 40 with 7 we get 280 and that's what he earns per week. then I came and tried to figure out how many days are in 6 weeks and I got 42 so then i came and multiplied the hours(5) which then gave me 210 then I multiped that (210) and 8 together and got 1,680
1.Michael earns $9 per hour. He works 28 hours each week. How much does he earn in 6 weeks?
so what i did was divide 28 by 7 the 7 was for the days and the 28 was for the hours so per day he works 4 hours and he earns 36 dollars per day .and then i came to know what the final answer was I came a figured out how many days are in 6 weeks and it's 42 so then I came and multiped the hours with the days which gave me 168 then I multiped that by the amount of money he earns per hour and it gave me 1,512 per 6 weeks
You notice a hot air balloon descending. The elevation h
(in feet) of the balloon is modeled by the function h(x)=−8x+360,
where x
is the time (in seconds) since you first noticed the hot air balloon.
Graph the function and specify its domain and range. Then interpret the slope and intercepts of the graph.
Answer:
the domain is 0 x 45 and the range is 0 h 360. The slope is -8, so the change in the height of the ballon is -8 feet per second. The h-intercept is 360, so the height of the ballon when the first noticed it was 360 feet. The x-intercept is 45, so the time it took the hot air balloon to reach the ground was 45 seconds.
Step-by-step explanation:
The descending balloon is an illustration of a linear function.
The balloon spent 45 seconds in air The balloon was at a height of 360 feet when you noticed it.The balloon descends 8 feet per seconds.[tex]\mathbf{Domain=[0,45]}[/tex].[tex]\mathbf{Range=[0,360]}[/tex]The function is given as:
[tex]\mathbf{h(x) = -8x + 360}[/tex]
See attachment for the graph of h(x)
From the graph, we have the following observations
The y value ranges from 0 to 360The x value ranges from 0 to 45The function crosses the graph at x = 45 and y = 350The above highlights mean that:
[tex]\mathbf{Domain=[0,45]}[/tex][tex]\mathbf{Range=[0,360]}[/tex][tex]\mathbf{x-intercept = 45}[/tex][tex]\mathbf{y-intercept = 360}[/tex]The x intercept means that:
The balloon spent 45 seconds in air
The y-intercept means that:
The balloon was at a height of 360 feet when you noticed it.
A linear function is represented as:
[tex]\mathbf{y = mx + c}[/tex]
Where:
m represents the slope
By comparison with [tex]\mathbf{h(x) = -8x + 360}[/tex]
[tex]\mathbf{m = -8}[/tex]
The above value of slope means that:
The balloon descends 8 feet per seconds
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The number of bacteria in a refrigerated food product is given by N(T)
4
29T2 - 115T + 52,
When the food is removed from the refrigerator, the temperature is given by T(t) = 6t + 1.5, where t is
the time in hours.
Find the composite function N(T(t)):
N(Tt))
Find the time when the bacteria count reaches 500.
Time Needed =
hours
Answer:
Step-by-step explanation:
Given
N(t) = 29t²-115t+52
T(t) = 6t+1.5
To get the composite function N(T(t)), we will follow the steps
N(T(t)) = N(6t+1.5)
To get N(6t+1.5), we will replace t in N(t) with 6t+1.5 as shown:
N(6t+1.5) = 29(6t+1.5)²-115(6t+1.5)+52
N(6t+1.5) = 29(36t²+18t+2.25)-690t-172.5+52
N(6t+1.5) = 1044t²+522t+65.25-690t-172.5+52
N(6t+1.5) = 1044t²+522t-690t+65.25-172.5+52
N(6t+1.5) = 1044t²-168t-55.35
Hence;
N(T(t)) = 1044t²-168t-55.35
To determine the time when the bacteria count reaches 500, we will equate the expression to 500 and find t
500 = 1044t²-168t-55.35
1044t²-168t-55.35-500= 0
1044t²-168t-555.35 = 0
Factorize
t =140±√1630115/1740
t = 0.81
Hence the time reached when the bacteria was 500 hours is 0.81hours
One apple contains 80 calories. What
percent of a 2000-calorie diet is
contained in one apple?
a) 42
b) 80
c) 96
d) 20
please help asap.. 15 points!
Answer:
the answer is b
Step-by-step explanation:
PLEASE HELP ASAP
Is the function y=x- 5/4 linear or nonlinear
Answer:
Linear
Step-by-step explanation:
y=x-5/4 is a linear equation.
Jessica is shopping at an online store that offers free shipping and doesn't charge her sales
tax. Jessica orders two books for $8.99 each, a video game for $19.99, and three board games
for $11.99 each. She pays for her purchases with a $100 gift card. What is the remaining
balance on her gift card after these purchases?
Answer:
$26.05
Step-by-step explanation:
$8.99(2) + $19.99 + $11.99(3) = $73.95 - $100
Hope this helped :)
Modeling Real-World Scenarios with Sine and Cosine Functions
The table below shows the illuminated percentage of the moon on a lunar cycle of 28 days. The relationship can be described using a cosine function.
Answer:
0 and 0
Step-by-step explanation:
it stays the same 7 to 17 is 7
14 to 21 is 7 etc...
The amplitude of the function is 48 units.
The period of the function is 28 units.
The graph has a vertical shift of 48 unit.
To determine the amplitude and period of the cosine function that describes the relationship between the day (d) and the illuminated percentage of the moon (%), we can analyze the given data:
d %
0 48
14 96
21 48
28 0
Amplitude:
The amplitude of a cosine function represents half the difference between the maximum and minimum values of the function.
So, (96 - 0) / 2
= 48 units.
Period:
The period of a cosine function is the length of one complete cycle.
Therefore, the period of the function is 28 units.
Vertical shift:
The vertical shift represents the displacement of the graph vertically.
The graph has a vertical shift of 48 unit.
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Find the equation of the line
Answer the question with y= mx+c
solve this: F(x) = 1/x+6
Answer:
Step-by-step explanation:(F)=1/F+6
We move all terms to the left:
(F)-(1/F+6)=0
Domain of the equation: F+6)!=0
F∈R
We get rid of parentheses
F-1/F-6=0
We multiply all the terms by the denominator
F*F-6*F-1=0
We add all the numbers together, and all the variables
-6F+F*F-1=0
Wy multiply elements
F^2-6F-1=0
a = 1; b = -6; c = -1;
Δ = b2-4ac
Δ = -62-4·1·(-1)
Δ = 40
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
F1=−b−Δ√2aF2=−b+Δ√2a
The end solution:
Δ‾‾√=40‾‾‾√=4∗10‾‾‾‾‾‾√=4√∗10‾‾‾√=210‾‾‾√
F1=−b−Δ√2a=−(−6)−210√2∗1=6−210√2
F2=−b+Δ√2a=−(−6)+210√2∗1=6+210√2
Could someone help me solve this? Lines AB and CD are parallel. Enter the measures of the three angles in triangle ABF.
Answer:
A=43
B=32
C=105
