Hey guys i was wondering if i could get some help please
Answer:
72
Step-by-step explanation:
use substitution:
g(n)= -2n+4
f(n) -3n^2-1
( -2n+4) + (-3n^2-1) (-7)=
72
I hope its right
(4x^5y^7)^n = 64x^15y^21
Answer:
(4×^5y^7n=64×^15y^21 es igual a:
Step-by-step explanation:
no se nada perdon lo siento
Zach needs a new pair of running shoes.The pair that he wants regularly sells for $129.If they are on sale for 24% off,how much will he pay in total if sales tax is 6.4%?
Answer:
$104.31
Step-by-step explanation:
First let's calculate the sale price of the shoes. If they are 24% off, that means they will be worth 76% of the initial price. So, we can multiply 76% by 129 to find the sale price:
129 * 0.76 = 98.04
The sale price is $98.04. To find the value of the sales tax, multiply the sale price by the percentage of the sales tax:
98.04 * 0.064 = 6.27456
The sales tax rounds to 6.27. Finally, to find the total price, add the value of the sales tax to the sale price:
98.04 + 6.27 = 104.31
The total price Zach will pay is $104.31.
Hope this helps :)
In Princeton, the library is due south of the courthouse and due west of the community swimming pool. If the distance between the library and the courthouse is 7 miles and the distance between the courthouse and the city pool is 8 miles, how far is the library from the community pool? If necessary, round to the nearest tenth.
Please respond.
Thank you!
Answer:
3.87 miles
Step-by-step explanation:
The attached figure gives the relative locations of the courthouse, the library and the pool.
The three locations represent a right triangle with the distance between courthouse - pool as the hypotenuse and the distance between courthouse - library as the vertical leg
By the Pythagorean theorem if c is the hypotenuse and a, b the other two legs
\(c^2 = a^2 + b^2\)
a = distance between courthouse and library = 7 miles
c = distance between courthouse and pool = 8 miles
and we have to find b
So plugging in known values
\(8^2 = 7^2 + b^2\\\\b^2 = 8^2 - 7^2\\\\b^2 = 64 - 49\\\\b^2 = 15\\\\b= \sqrt{15} = 3.87298 \approx 3.87 \;miles\)
Maura spends $5.50 in materials to make a scarf. She sells each scarf for 600% of the cost of materials.
Complete the sentence by selecting the correct word from the drop down choices.
Maria sells each scarf for Choose... ✓ or
The price that Maura sell each scarf would be =$33. Maura sells each scarf for $33. That is option A.
How to calculate the selling price of each scarf?To calculate the amount of money that Maura spends on each scarf the following is carried out.
The amount of money that she spends on the scarf material = $5.50
The percentage selling price of each scarf = 600% of $5.50
That is ;
= 600/100 × 5.50/1
= 3300/100
= $33.
Therefore, each price that is sold by Maura would probably cost a total of $33.
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determine the behavior of the functions defined below. if a limit does not exist or the function is undefined, write dne.
a. consider h(x) = 4x^2 + 9x^2 / -x^3 + 7x
i) for what value of x is h(x) underfined ? ii) for what value (s) of does h(x) have a vertical aymptote?
iii) for what value(s) of does h(z) have a hole?
iv) lim h(x) =
a. The function h(x) is undefined for x = 0 and x = ±√7.
b. These values correspond to vertical asymptotes for the function h(x).
c. The function h(x) has a hole at x = 0.
d. The limit of h(x) as x approaches 0 is either positive infinity or negative infinity, depending on the direction from which x approaches 0.
What is function?A function is an association between inputs in which each input has a unique link to one or more outputs.
To determine the behavior of the function h(x) = (4x² + 9x²) / (-x³ + 7x), let's analyze each question separately:
i) The function h(x) is undefined when the denominator equals zero since division by zero is undefined. Thus, we need to find the value(s) of x that make the denominator, (-x³ + 7x), equal to zero.
-x³ + 7x = 0
To find the values, we can factor out an x:
x(-x² + 7) = 0
From this equation, we see that x = 0 is a solution, but we also need to find the values that make -x² + 7 equal to zero:
-x² + 7 = 0
x² = 7
x = ±√7
So, the function h(x) is undefined for x = 0 and x = ±√7.
ii) A vertical asymptote occurs when the denominator approaches zero, but the numerator does not. In other words, we need to find the values of x that make the denominator, (-x³ + 7x), equal to zero.
From the previous analysis, we found that x = 0 and x = ±√7 make the denominator zero. Therefore, these values correspond to vertical asymptotes for the function h(x).
iii) A hole in the function occurs when both the numerator and denominator have a common factor that cancels out. To find the values of x that create a hole, we need to factor the numerator and denominator.
Numerator: 4x² + 9x² = 13x²
Denominator: -x³ + 7x = x(-x² + 7)
We can see that x is a common factor that can be canceled out:
h(x) = (13x²) / (x(-x² + 7))
Therefore, the function h(x) has a hole at x = 0.
iv) To simplify the expression and find the limit of h(x) as x approaches 0, we can factor out common terms from both the numerator and denominator.
h(x) = (4x² + 9x²) / (-x³ + 7x)
We can factor out x² from the numerator:
h(x) = (4x² + 9x²) / (-x³ + 7x)
= (13x²) / (-x³ + 7x)
Now, we can cancel out x² from both the numerator and denominator:
h(x) = (13x²) / (-x³ + 7x)
= (13) / (-x + 7/x²)
Next, we substitute x = 0 into the simplified expression:
lim x→0 (13) / (-x + 7/x²)
Now, we can evaluate the limit by substituting x = 0 directly into the expression:
lim x→0 (13) / (-0 + 7/0²)
= 13 / (-0 + 7/0)
= 13 / (-0 + ∞)
= 13 / ∞
The result is an indeterminate form of 13/∞. In this case, we can interpret it as the limit approaching positive or negative infinity. Therefore, the limit of h(x) as x approaches 0 is either positive infinity or negative infinity, depending on the direction from which x approaches 0.
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What are the differences and the similarity between a short futures contract and a option?
The main difference between a short futures contract and an option is the obligation involved. In a short futures contract, the seller is obligated to deliver the underlying asset at a predetermined price and date, regardless of market conditions.
In contrast, an option provides the buyer with the right, but not the obligation, to buy (call option) or sell (put option) the underlying asset at a specified price and date. Both short futures contracts and options are derivative financial instruments that allow investors to speculate on price movements, but options provide more flexibility as they do not carry the same obligation as futures contracts.
Obligation: In a short futures contract, the seller (short position) is obligated to deliver the underlying asset at a specified price and date in the future.
Potential Profit/Loss: The seller profits if the price of the underlying asset decreases, but faces losses if the price increases.
Market Exposure: The seller is exposed to unlimited downside risk, as there is no cap on potential losses.
Margin Requirements: Sellers need to maintain margin accounts to cover potential losses and ensure contract performance. Futures contracts require the seller to deliver the asset, while options provide the buyer with the right, but not the obligation, to buy or sell. Options offer more flexibility but come with a premium cost, while futures contracts have unlimited downside risk and require margin accounts.
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A coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to
buy each player a bottle of water and an energy bar. The price of one energy bar is $2.
Let w equal the price of a bottle of water. Write an equation that
represents the situation.
Answer: 22( w + 2 ) =77 and the amount of the water bottle would be 1.50
Step-by-step explanation: i dont know what to write??
Please help me need ASAP
(3) y= 5x+ 13
you have to do the rise (ryse - with a y because it is the y value) over the run to get your slope and then subtract your slope from 18 to get 13.
3/ 2 (3x-2) = 3/ 2-2
Answer: x = 5/9
Step-by-step explanation:
HELP PLEASE I NEED IT LIKE NOW
What is the volume of a rectangular prism with a length of 14 1/5 yards, a width of 7 yard, and a height of 8 yards?
795 1/5
739 1/5
452 4/5
226 2/5
After the third test in science, Morgan's average is 92%. If she wants to raise her average to 93%, what score does she need to earn on the next test? HHHHHHHHHHHHHHHHEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 96%
Step-by-step explanation:
Morgan's average grade was 92% after the third test.
Lets say all the tests were out of 100 to help you understand.
We can say that she got 92 out of 100 on all three tests.
Her total point would be 92 * 3 which would be 276, out of 300 points available.
Now she takes her fourth test and she wants an average of 93
Out of 100, if she gets a score of X, her total point after the fourth test would be 276 + X out of 400 points available.
so the percentage of 276 + X / 400 should be 93%.
( 276 + X / 400 ) * 100% = 93%
multiply 400 on each side,
( 276 + X ) * 100 % = 93 * 400 %
now divide each side by 100
276 + X = 93 * 4
93 * 4 = 372
Subtract each side by 276
X = 96
So she needs to get a 96 out of 100 or higher, which is 96%.
Subtract the following complex numbers:
(4+4i)-(13+17i)
OA. 9+21/
OB. -9+21/
OC. 9-13i
OD.-9-13i
We have been given (4 + 4i) - (13 + 17i) .after solving we get the correct option is A ) -9 - 13 i.
What are complex numbers?Complex numbers are those numbers that contain the imaginary and the real part.
We have been given (4 + 4i) - (13 + 17i) .
On removing the parenthesis
4 + 4 i - 13 - 17i.
On combine the real part and complex parts, we get
= 4 - 13 + 4i - 17 i.
= -9 - 13 i.
Therefore, The correct option is A ) -9 - 13 i.
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The coordinates of the point P:(2,2), Q:(6,2), R:(6,5), S:(2,5) represent the vertices of a rectangle. What is the perimeter, in units of rectangle PQRS?
Answer:
Hope the picture will help you....
Answer:
C. 14 units
Step-by-step explanation:
Perimeter is the distance around the outside of the shape. Add up all the sides. See image.
Consider the function fx) = 20x2e-3x on the domain [,0). On its domain, the curve Y =fx): attains its maximum value at X = % ad does have a minimum value attains its maximum value at * } ad does not have a minimum value attains its maximum value at X = 3 and attains its minimum value atx= 0_ attains its maximum value at * 3 ad attains its minimum value at x = 0. attains its maximum value at * and does not have a minimum value
The statement should be: "On its domain, the curve Y = f(x) attains its maximum value at X = 0 and does not have a minimum value."
To determine the maximum and minimum values of the function f(x) = \(20x^2e^{(-3x)\) on the domain [0, ∞), we can analyze its behavior.
First, let's consider the limits as x approaches 0 and as x approaches infinity:
As x approaches 0, the term \(20x^2\) approaches 0, and the term \(e^{(-3x)\)approaches 1 since \(e^{(-3x)\) is continuous. Therefore, the overall function approaches 0 as x approaches 0.
As x approaches infinity, both terms \(20x^2\) and \(e^{(-3x)\) tend to 0, but the exponential term decreases much faster. Thus, the overall function approaches 0 as x approaches infinity.
Since the function approaches 0 at both ends of the domain and the exponential term dominates the behavior as x increases, there is no maximum value on the domain [0, ∞). However, since the function is always positive, it does not have a minimum value either.
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a company orders 29 boxed lunches from a deli for $339.30. assume each boxed lunch is the same price. if c represents the total cost in dollars and cents of the lunch order for any number, b, of boxed lunches ordered, write a proportional equation for c in terms of b that matches the context.
Answer:
11.7b
Step-by-step explanation:
If you do 339.30 divided by 29 it equals 11.7 but the full equation would be c=11.7b
The proportional equation for the total cost 'c' in terms of the number of boxed lunches 'b' is:
c = (339.30 / 29) * b
What is proportion?
The size, number, or amount of one thing or group as compared to the size, number, or amount of another. The proportion of boys to girls in our class is three to one.
Let's assume that each boxed lunch costs the same amount, denoted by the variable 'x'.
We are given that the company ordered 29 boxed lunches for a total cost of $339.30. Therefore, we can write the equation:
29x = 339.30
To find the cost 'c' for any number 'b' of boxed lunches, we can set up a proportion:
29x / 29 = 339.30 / b
Simplifying this equation, we get:
x = 339.30 / 29
Now, we can substitute this value of 'x' back into the equation:
c = bx = b * (339.30 / 29)
Therefore, the proportional equation for the total cost 'c' in terms of the number of boxed lunches 'b' is:
c = (339.30 / 29) * b
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Someone please help !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
jeez human -4+1
Hope this helps
Next Londell needs a total of $400 to buy a new bicycle. He has $40 saved. He earns $15 each week delivering newspapers. How many weeks will Londell have to deliver papers to have enough money to buy the bicycle?
Londell needs to deliver newspapers for 24 weeks to have enough money to buy the bicycle.
Londell currently has $40 saved, and he needs a total of $400 to buy the bicycle. Each week, he earns $15 delivering newspapers.
To calculate the number of weeks Londell needs to work, we can set up an equation:
$40 (current savings) + $15 (weekly earnings) × (number of weeks) = $400 (total cost of the bicycle)
Simplifying the equation:
$40 + $15 = $400
Subtracting $40 from both sides of the equation:
$15 = $400 - $40
$15 = $360
Dividing both sides of the equation by $15:
= $360 / $15
≈ 24
Therefore, Londell will have to deliver newspapers for approximately 24 weeks to have enough money to buy the bicycle.
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Is 83.040 bigger than 83.04
Answer:
No, they are equal.
Step-by-step explanation:
83.040 can also be 83.04.
Answer:
no they're the same length
Step-by-step explanation:
if you add a zero to 83.04 it will equal 83.040 since they are already unseen zero after number it wouldn't change the answer.
Find the slope-intercept equation of the line that
passes through (0,4) and has a slope of 1.
Answer:
y=1x+4 is the answer :))))
Answer:
y = x + 4
Step-by-step explanation:
slope intercept equation: y = mx + b
m = slope
b = y-intercept(when x =0)
use the points given; (0,4) and m = 1
to find b
y = mx + b
4 = 1(0) + b
4 = b
now put your equation together.
y = 1x + 4
or y = x + 4
A pasta factory made 328.16 pounds of pasta in 7 minutes. How much pasta, on average, did the factory make each minute?
Answer:
46.88 lb per minute
Step-by-step explanation:
328.16/7
46.88
HELP!! ASAP! ! 10 POINTS
Answer:
63square units
Step-by-step explanation:
A=b*h just like a rectangle.
9*7=63
Leah is a baker at The Cupcake Uptake. The store's recipe for orange sherbet cupcakes calls for 3 cups of sugar for every 8 cups of flour.
If Leah needs to make a batch of orange sherbet cupcakes with 32 cups of flour, how much sugar should she use?
Answer:
12 cups
Step-by-step explanation:
(Please someone help)
There are 3 peaches for every 4 strawberries in a grocery store. How many peaches and strawberries can be in a grocery store?
A. 42 peaches and 56 strawberries
B. 36 peaches and 52 strawberries
C. 33 peaches and 40 strawberries
D. 39 peaches and 48 strawberries and 48 strawberries
Answer:
A. 42 peaches and 56 strawberries
Step-by-step explanation:
3 · 14 = 42
4 · 14 = 56
The larget taco contained approximately 1 kg of onion for every 6. 6 kg grilled teak. The total weight of thee two ingredient wa 617. 3 kg. How many kilogram of each ingredient were ued?
The largest taco contained approximately 1 kg of onion for every 6. 6 kg grilled teak. then Amount of grilled steak used: 6.6 (79.17) = 538.356 kg
What is a unit amount in math?
When a price is expressed as a quantity of 1, such as $25 per ticket or $0.89 per can, it is called a unit price. If you have a non-unit price, such as $5.50 for 5 pounds of potatoes, and want to find the unit price, divide the terms of the ratio
1 k + 6.6 k = 617.3
Where “k” is a constant value, a multiplier.
Solving for k:
7.8 k = 617.3
k = 617.3 /7.8
k= 79.17
So:
Amount of onion used:
1 (79.17) = 79.17 kg
Amount of grilled steak used:
6.6 (79.17) = 538.356 kg
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ignore please saklhfhllska;rfsa
Answer:
ok
Step-by-step explanation:
ok
What’s the slope-intercept for this equation???
Answer:
y=4/3x+11
Step-by-step explanation:
To calculate the slope do difference in y divided by difference in x. Notice the different scales on the x and y axis.
The y intercept is where the line cuts through the y axis, (11)
a student can choose from 4 algebra courses (call them a1, a2, a3, a4) and 3 geometry courses (g1, g2, g3). if they can take at most one algebra course and at most one geometry course, how many options do they have to choose at least one course?
There are 7 probability combinations of one algebra and one geometry course a student can choose from: a1, a2, a3, a4, g1, g2, g3.
1. Count the number of algebra courses
(a1, a2, a3, a4): 4
2. Count the number of geometry courses
(g1, g2, g3): 3
3. Add the number of algebra courses and the number of geometry courses: 4 + 3 = 7
4. The student has 7 options to choose at least one course.
A student can choose from 4 algebra courses (a1, a2, a3, a4) and 3 geometry courses (g1, g2, g3). The student can take at most one algebra course and at most one geometry course. If the student wants to take at least one course, they have 7 options to choose from. This is because there are 4 algebra courses and 3 geometry courses, so the total number of courses the student can choose from is 4 + 3 = 7. The 7 options include all the algebra courses (a1, a2, a3, a4) and all the geometry courses (g1, g2, g3). The student can choose any combination of one algebra course and one geometry course, such as a1 and g2, or a4 and g3. This means that the student has 7 options to choose from if they want to take at least one course.
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According to the line plot, what is the total distance run for all of the runners combined?
Answer:
Add all of them together. 1/5 + 2/4 + 4/3 + 3/2 = 53/15 miles
Step-by-step explanation:
1/5 + 2(1/4) + 4(1/3) + 3(1/2)
Andre and Morgan are both headed to Florida for vacation. Andre will drive 70 miles per hour. Morgan will drive 55 miles per hour but will leave 3 hours earlier than Andre. How many hours will Morgan have been driving before Andre catches up with her?
Answer:
The number of hours Moran wold have driven before Andre catches up with him is 14 hours
Step-by-step explanation:
The given information are;
The speed with which Andre will drive = 70 miles per hour
The speed with which Morgan will drive = 55 miles per hour
The time of departure of Morgan = 3 hours before Andre departs
Let the time at which Andre catches up with Morgan be, t
We have, from the definition of distance traveled;
Distance traveled =Speed × Time
The distance Morgan would have driven in t hours = 55 × t
Given that to catch up with Morgan, Andre has to travel the same distance, and that Andre starts 3 hours late, we have;
The distance Andre would drive when Morgan has driven for t hours = 70 × (t - 3)
Therefore, since the distance at the point they meet is the same distance for them both, we have;
55 × t = 70 × (t - 3)
55 × t = 70 × t - 210
210 = 70 × t - 55 × t = 15 × t
t = 210/15 = 14 hours
Therefore, Morgan would have driven for 14 hours before Andre catches uo with him.
Answer:
Morgan walks 2 miles per hour.
Step-by-step explanation:
took the test. ;)