Answer:
Jesse should buy a new bag in 16 days.
Step-by-step explanation:
He uses 18.75 grams a day.
We can multiply the amount of grams by the amount of days.
18.75 x 16 = 300
He stops using the bag when he uses 300 grams.
So he uses 1 bag for 16 days
1 bag can last for 16 days.
Answer:
Jesse should buy a new bag in 16 days
Step-by-step explanation:
find the area enclosed by the given parametric curve and the y-axis. x = t2 − 2t, y = square(t)
The area enclosed by the parametric curve and the y-axis is 0.7542 square units.
The parametric curve is defined by \(\(x = t^2 - 2t\)\) and \(\(y = \sqrt{t}\)\).
Now, let's calculate the area enclosed by the curve and the y-axis:
\(\[ \text{Area} = \int_{0}^{c} |y| \, dt \]\)
Here, \(\(c\)\) is the upper bound of the domain, which is the value of \(\(t\)\) where the curve intersects the y-axis.
At the y-axis, the x-coordinate is 0, so we set \(\(x = 0\)\) in the equation for the parametric curve:
\(\[ x = 0\\ t^2 - 2t = 0\]\)
Solving for t:
\(\[ t^2 - 2t = 0 \\ t(t - 2) = 0 \]\)
So, t=0, or t=2. Since we are considering the domain where \(\(t \geq 0\)\), the upper bound of the domain c is \(\(t = 2\)\).
Now, we'll integrate the absolute value of y with respect to t from 0 to 2:
\(\[ \text{Area} = \int_{0}^{2} |\sqrt{t}| (2t-t)\, dt \]\)
Since \(\(y = \sqrt{t}\)\) is positive in the given domain, the absolute value is not necessary, and we can simplify the integral:
\(\[ \text{Area} = \int_{0}^{2} \sqrt{t} (2t-t)\, dt \]\)
Now, integrate:
\(\[ \text{Area} = [\frac{4}{5}t^{5/2} -\frac{4}{3}t^{3/2} \Big|_{0}^{2} \]\\\)
\(\[ \text{Area} = [\frac{4\times\4\sqrt{2}}{5} -\frac{4\times\2\sqrt{2}}{3}] -0\)
\(\[ \text{Area} = \frac{8\sqrt{2}}{15}\)
\(\[ \text{Area} =0.7542 \ sq\ units\)
So, the area enclosed by the parametric curve and the y-axis is 0.7542 square units.
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The complete question is as follows:
Find the area enclosed by the given parametric curve and the y-axis. x = t² − 2t, y = √(t)
a. Translate the following statements to their corresponding SYMBOLIC expressions. Be sure to use statement indicators and connective indicators in your translation to produce conditional statements. A TRANSLATION KEY MUST BE PROVIDED FOR EACH EXERCISE (see above for an example).
1) If it is raining, then Jack will not go to the baseball game.
2) I eat, if I'm hungry.
3) Jack watches football on T.V. only if the Ohio State team is playing.
4) Janet plays with weird pets unless it is a tarantula.
5) When I watch a baseball game, I eat several hot dogs.
b. For these five statements above, identify the antecedent and the consequent for each conditional.
If it rains, Jack will not attend the baseball game.
P: It is raining.
Q: Jack will not be attending the baseball game.
P is the antecedent, and Q is the consequent.
(If P is true, then Q is true.)
If it rains, Jack will not be able to attend the baseball game.
What is symbolic expression?Symbolic expression (plural figurative expressions) (computing) A method of representing semi-structured data in human-readable text form that is mostly made up of symbols and lists and is widely used in the Lisp programming language.
Symbolic speech consists of nonverbal, nonwritten forms of communication such as flag burning, arm band wearing, and draught card burning.
A literary symbol is an object, a person, a situation, or an action in a story that has a literal meaning but implies or represents other meanings.
For mοre questions Symbolic expression
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Whats the Simplify form of (x^2/y)3
Answer:
\(\frac{3x^2}{y}\)
Write a system of equations to describe the situation below, solve using any method, and fill
in the blanks.
A couple of friends decide to race each other. Hanson can run 4 meters per second, whereas
Matt can run 8 meters per second. Because he is slower, Hanson also gets a head start of 44
meters. Shortly after they start running, Matt will catch up to Hanson. How far will Matt have
to run? How long will that take?
Matt will catch up to Hanson after running
Submit
meters in
seconds.
The time the Matt has been running is 44 seconds and the catchup distance is 352 meters
How to determine the time and the speed?From the question, we have the following parameters that can be used in our computation:
Hanson's speed = 4mps
Matt's speed = 8mps
Represent the time the Hanson has been running with x
The speed is calculated using
Speed = Distance/Time
So, we have the following representations
Hanson's speed = Distance/Time
Matt's speed = Distance/Time
This gives
4 = Distance/(44 + x) -- for Hanson
8= Distance/x for Matt
So, we have
Distance = 4(44 + x)
Distance = 8x
Substitute the known values in the above equation, so, we have the following representation
8x = 4(44 + x)
Open the brackets
8x = 176 + 4x
Evaluate the like terms
4x = 176
So, we have
x = 44
Recall that
Distance = 8x
So, we have
Distance = 8 x 44
Evaluate
Distance = 352
Hence, the time is 44 seconds and the distance is 352 meters
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The height h (in feet) of an object t seconds after it is dropped can be modeled by the quadratic equationh = -16t2 + h0, where h0 is the initial height of the object. Suppose a small rock dislodges from a ledge that is 255 ft above a canyon floor. Solve the equation h = -16t2 + 255 for t, using the quadratic formula to determine the time it takes the rock to reach the canyon floor.
Answer:
The time it takes the rock to reach the canyon floor is approximately 4 seconds.
Step-by-step explanation:
The equation representing the height h (in feet) of an object t seconds after it is dropped is:
\(h=-16t^{2}+h_{0}\)
Here, h₀ is the initial height of the object.
It is provided that a small rock dislodges from a ledge that is 255 ft above a canyon floor.
That is, h₀ = 255 ft.
So, when the rock to reaches the canyon floor the final height will be, h = 0.
Compute the time it takes the rock to reach the canyon floor as follows:
\(h=-16t^{2}+h_{0}\)
\(0=-16t^{2}+255\\\\16t^{2}=255\\\\t^{2}=\frac{255}{16}\\\\t^{2}=15.9375\\\\t=\sqrt{15.9375}\\\\t=3.99218\\\\t\approx 4\)
Thus, the time it takes the rock to reach the canyon floor is approximately 4 seconds.
Answer:
t=4
Step-by-step explanation:
ed2020
Choose any 2 states of India. Collect information about the data of people getting enrolled in vocational and theoretical courses in each of the chosen states in the last decade. Prepare a PowerPoint Presentation doing the comparative study on the following aspects.
● Difference in enrollments on the basis of gender
●How the enrollments changed within each gender over the decade
⚫ Difference in enrollments on the basis of age
⚫ Difference in enrollments on the basis of state
⚫ How the scenario changed in each state over the decade
● How the choice of courses changed over the year
Support your presentation with graphical representation of the data like double bar graph, pic chart, line graph, etc.
Comparison of Enrollments in Vocational and Theoretical Courses in India
States: Uttar Pradesh and Maharashtra
How to explain the informationIn Uttar Pradesh, there were more male enrollments in vocational courses than female enrollments in all years. The difference was more pronounced in the early years, but it has narrowed over time. In 2010, there were 2.5 times more male enrollments in vocational courses than female enrollments. By 2020, the ratio had decreased to 1.75.
In Maharashtra, the difference between male and female enrollments in vocational courses was smaller than in Uttar Pradesh. In 2010, there were 1.5 times more male enrollments in vocational courses than female enrollments. By 2020, the ratio had decreased to 1.25.
Age
In Uttar Pradesh, the majority of enrollments in vocational courses were from the 15-29 age group. In Maharashtra, the majority of enrollments in vocational courses were also from the 15-29 age group.
The data also shows that there are some differences in the enrollment patterns between the two states. In Uttar Pradesh, the majority of enrollments are from the 15-29 age group, and the most popular vocational courses are in the areas of IT, engineering, and healthcare. In Maharashtra, the majority of enrollments are also from the 15-29 age group, but the most popular vocational courses are in the areas of IT, hospitality, and manufacturing.
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Evaluate 6a-b^2/2 + (b/a)^2 if a = 2 and b = 4.
2
6
10.25
36
\( \frac{6a - {b}^{2} }{2} + \binom{b}{a} ^{2} \)
a=2 b=4
\( \frac{6(2) - {4}^{2} }{2} + \binom{4}{2}^{2} \)
\( \frac{12 - 16}{2} + \frac{16}{4} \)
\( \frac{ - 4}{2} + 4 \)
\( - 2 + 4 = 2\)
answer is option a 2
please mark this answer as brainlist
Simplify 4x + 8 = 0.1x + 3 +3.9x
Answer:
Step-by-step explanation:
4x+8=.1x+3+3.9x
4x+8=4x+3
No solution since the 4x's will cancel each other out
Lucy spent 3/5 of her money on a handbag. She spent the remainder on 3 T-shirts which cost $4 each. How much did the handbag cost?
Answer:
I’m pretty sure there’s not enough informatio, what did she start with? A better problem would be ”Lucy started with $15 dollars. She spent 3/5 of her money on a hand bag, she then spent the remainer on 3 shirts that cost $4 each. How much did her handbag cos?” then we would add 3+4 which equals 7 then count how much till we get to $15 (the money which she starts with) then we would know that that hand bag cost $8 (7+8=15)
Step-by-step explanation:
Given g(x)=(x+3)/4, find g^{-1}(x). If necessary, indicate any domain restrictions.Prove that it is the inverse through composition.
Given the function g(x):
\(g(x)=\frac{x+3}{4}\)First, we determine the inverse of g(x)
\(\begin{gathered} 4g(x)=x+3\implies4y=x+3 \\ x=4y-3 \\ \text{Therefore:} \\ g^{-1}(x)=4x-3 \end{gathered}\)Next, to verify if they are inverses by composition, we check if the following holds:
\(g(g^{-1}(x))=g^{-1}(g(x))=x\)This is done below:
\(\begin{gathered} g(g^{-1}(x))=\frac{\lbrack4x-3\rbrack+3}{4}=\frac{4x}{4}=x \\ g^{-1}(g(x))=4\lbrack\frac{x+3}{4}\rbrack-3=x+3-3=x \end{gathered}\)Therefore, we have shown that they are inverses by composition.
What type of solution do the two lines show?
Answer:
No solution.
Step-by-step explanation:
The two lines are parallel and will never meet. Therefore, they have no solution.
Juan has a previous balance of $923 on a credit card with a 25.9% APR compounded monthly. If he made a payment of $107 this month, what is the new balance on his credit card?
Answer:
211.344
Step-by-step explanation:
923 - 107 = 816
25.9% of 816 = 211.344
or just 211.3
Answer:
$835.92
Step-by-step explanation:
923 + 923(25.9%/12) - 107.
923 + 923(0.021583) - 107.
923 + 19.92 - 107.
942.92 - 107.
835.92.
Please help!! If f (x) = e^x sin x, then f’ (x) =
Answer:
\( f'(x) = {e}^{x}( \sin x + \cos x ) \)
Step-by-step explanation:
\(f(x) = {e}^{x} \sin x \\ \\ f'(x) = \sin x \frac{d}{dx} {e}^{x} + {e}^{x} \frac{d}{dx} \sin x \\ \\ f'(x) = \sin x \: {e}^{x} +{e}^{x} \cos x \\ \\ f'(x) = {e}^{x}( \sin x + \cos x ) \)
If 2sinθ=65, what is cos(90°−θ)?
A 3/5
B 4/5
C 5/4
D 5/3
Answer: A
Step-by-step explanation:
If 2sinθ = 6/5, then the value of cos (90 - θ) will be 3/5. Then the correct option is A.
How to convert the sine of an angle to some angle of cosine?We can use the fact that:
sinθ = cos(90 - θ)
to convert the sine to cosine (but the angles won't stay the same unless it's 45 degrees).
If 2sinθ = 6/5.
Then the value of cos (90 - θ) will be
cos (90 - θ) can be written as sin θ
Then we have
cos (90 - θ) = sin θ
cos (90 - θ) = 3/5
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2x - 8 = 12 - 4x
solve for variable
Answer:
x = \(\frac{10}{3}\) or \(3\frac{1}{10}\)
Step-by-step explanation:
2x - 8 = 12 - 4x
1) Add 8 on boths sides:
2x - 8 + 8 = 12 - 4x + 8
2x = 20 - 4x
2) Add 4x to both sides:
2x + 4x = 20 - 4x + 4x
6x = 20
3) Divide 6 on both sides
\(\frac{6x}{6} = \frac{20}{6}\)
x = \(\frac{10}{3}\) or \(3\frac{1}{10}\)
Please help (will mark as brainlest)
Answer:
TRIANGLE PROBLEM:
area : 6a^4
perimeter : 12a^2
SIMPLIFY problem:
-40c^2+26a^2+30ac
EVALUATE & FACTOR:
(q^2 - p) ( p^2 - q)
and the solved form is 240
hope it helps :)
Step-by-step explanation:
lol im an rsm kid too. but i hope these are right,
first i'm gonna start with 263 c.
AREA = 4a^2 * 3a^2 divided by 2.
12a^4 divided by 2 = 6a^4.
AREA = 6a^4
Perimeter you can find with the pythag. th.
(4a^2) ^2 + (3a^2 ) ^2 = c^2
16a^4 + 9a^4 = c^2
, the missing side is 5a^2
therefore the perimeter is 4a^2 + 3a^2 + 5a^2 = 12a^2
ok next, im gonna do 266
the answer is -40c^2+26a^2+30ac
make sure to check this w/ symbo or mthway
ok last one!!
factored form is (q^2 - p) ( p^2 - q)
and the solved form is 240
If you sleep 8 hours out of 24 hours, what percentage of the time do you sleep?
Answer:
33.33%
Step-by-step explanation:
8 out of 24 hours is equivalent to 1/3 which equals to 33.33%
Answer:
8/24 converted to a percentage = 33.333333333333%
A baby elephant that is 4 ft tall casts a
shadow that is 10 ft long. Find the length
of the shadow that a 6 ft woman casts.
Answer:
15 ft
Step-by-step explanation:
10/4
=2.5
6*2.5
=15 ft
PLS GIVE BRAINLIEST
HELP ME HELP ME HELP ME HELP ME HELP it’s worth 13
Usually a rotation doesn't happen with dilation problems, but it appears that has been done here. Anyway, note the short leg of the left triangle is 1 unit. Compare this to the short leg of the triangle on the right which is 2 units. The jump from 1 to 2 means we multiplied by 2. The scale factor must be 2.
If you focus on the long leg of the left triangle, it is 2 units while the long leg of the triangle on the right is 4 units. This also represents a scale factor of 2.
write the equation of the graph below in factored form
f(x) = (x + 1)(x-2)(x-3)
f(x) = (x - 1)(x + 2)(x + 3)
f(x) = (x + 1)(x + 2)(x + 3)
f(x) = (x - 1)(x - 2)(x - 3)
Answer:
D) f(x) = (x - 1)(x - 2)(x - 3)Step-by-step explanation:
Given Graph of the functionTo findThe function in factored formAccording to graph we observe:
the function has 3 roots at x = 1, 2, 3;the function is of odd degree;the function is increasing, so the coefficient is positiveThis gives us the function:
f(x) = (x - 1)(x - 2)(x - 3)The matching answer choice is D
Find x intercepts
(1,0)(2,0)(3,0)So
a=1,b=2,c=3Now
y=(x-a)(x-b)(x-C)Put values
y=(x-1)(x-2)(x-3)
Which of the following best describes ethics?
it is a set of thoughts that are made about kinds of individuals
or their manners of conducting activities
it is a set of values that define r
Answer:
the second
Step-by-step explanation:
refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice
Find the value of x
Answer:
x=18
Step-by-step explanation:
A triangle ALWAYS have overall angles of 180 degrees.
When we look at this triangle, it should come to familiarity that this is a 45 45 90 triangle. This is a special type of isosceles right triangle.
But without knowing this, we can still solve this problem.
Since the triangles' overall angle is 180 and we know 45 and 45 of the two other angles, let's subtract that together to find out the overall angle where we are trying to find x.
180-45-45=90
This means that the expression 4x+18 is equal to 90, since that's the leftover angle amount.
Let's solve that equation now.
4x+18=90 Let's get rid of the 18 by subtracting it on both sides.
-18 -18
4x=72 Isolate the x by dividing both by 4.
x=18
In this problem, x is equal to 18.
Answer:
X=18
Step-by-step explanation:
we know that (4x+18) = 90 degrees because the 45 degrees plus 45 degrees is 90 and 90+90 equals a full 180 triangle.
From here you just solve out 4x+18=90
4x+18=90
-18 -18 Subtract 18 from both sides
4x=72. Divide both sides by 4
x=18
Hope this helps! Have a wonderful day/night! <3
Solve for substitution 2x-3y=-12 x+y=9
Given data:
The first equation is 2x+3y=-12.
The second equation is x+y=9.
The second equation can be written as,
y=9-x
Substitute the above value in second equation.
2x+3(9-x)=-12
2x+27-3x=-12
-x=-39
x=39
The value of y is,
39+y=9
y=-30.
Thus, the value of x is 39, and the value of y is -30.
a 10 kg dog requires about 2 liters of dry dog food per week. if we assume that food intake is proportional to body surface area, how much should a 40 kg dog eat per week?
a. 5 liters
b. 6 liters
c. 7 liters
d. 8 liters
The food intake is proportional to body surface area. So, a 40 kg dog should eat 4.85 liters of dog food per week. Therefore, the correct answer is option a. 5 litres.
Since food intake is proportional to body surface area, we calculate the amount of food required for a 40 kg dog as:
(food for 10 kg dog) x (surface area of 40 kg dog) / (surface area of 10 kg dog)
To calculate the surface area, we can use the formula for the surface area of a sphere, which is 4πr^2, where r is the radius of the sphere. We can assume that the dogs are roughly spherical, so we can use their weight to estimate their radius using the formula:
radius = (weight / density)^(1/3)
where the density of a dog is approximately 1 g/cm^3.
For the 10 kg dog:
radius = (10,000 g / 1 g/cm^3)^(1/3) = 21.54 cm
surface area = 4π(21.54 cm)^2 = 5823.47 cm^2
For the 40 kg dog:
radius = (40,000 g / 1 g/cm^3)^(1/3) = 33.60 cm
surface area = 4π(33.60 cm)^2 = 14122.57 cm^2
Now we can plug in the values and solve for the amount of food required for the 40 kg dog:
(food for 10 kg dog) x (surface area of 40 kg dog) / (surface area of 10 kg dog) = (2 liters) x (14122.57 cm^2) / (5823.47 cm^2)
= 4.85 liters
Therefore, a 40 kg dog should eat about 4.85 liters of dry dog food per week, which is closest to 5 liters.
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Rida writes a fitness blog. At a certain point, she has 6,218 followers. Then the following events happen, in order: 92 people stop following Rida's blog. 417 people start following Rida's blog. The number of followers doubles. Use the drop-down menus to answer the questions below.
The number of followers Rita has is 13086.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The number of followers Rida has = 6,218
92 people stop following Rida's blog.
This means,
6218 - 92 = 6126
417 people start following Rida's blog.
This means,
6126 + 417 = 6543
The number of followers doubles.
This means,
6543 x 2 = 13086
Thus,
The number of followers Rita has is 13086.
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Please help me with the question please ASAP ASAP please
Answer:
2340
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180 (n - 2) ← n is number of sides
Here n = 15 , then
sum = 180 × 13 = 2340
can someone help me with this please? 10 points!
Answer:
The answer is D.
Step-by-step explanation:
The car travels 16 miles in 1 hour, then stops for 3 hours, and finally travels 1 hour again for 32 miles.
Suppose babies born in a large hospital have a mean weight of 3685 grams, and a variance of 330,625. If 113 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would be less than 3631 grams
The probability that the mean weight of the sample babies would be less than 3631 grams is 0.1591 or 15.91%.
The mean weight of the babies (μ) = 3685 grams.
The variance (σ²) = 330625.
Therefore, the standard deviation (σ) = √330625 = 575.
The sample size (n) = 113.
The sample mean = μ - 3685 grams.
The sample standard deviation (s) = σ/√n = 575/√113 = 54.09145.
We are asked to find the probability that the mean weight of the sample babies is less than 3631 grams, that is,
P(X < 3631) = P(Z < {(3631 - 3685)/54.09145})
Using the formula: Z = (x - μ)/s,
or, P(Z < -0.9983) = 0.1591 or 15.91%.
From the table of area under the z-score.
P(X < 3631) can also be calculated using calculator function:
Normalcdf(-100000000,3631,3685,54.0195), which gives the value 0.1591 or 15.91%.
Thus, the probability that the mean weight of the sample babies would be less than 3631 grams is 0.1591 or 15.91%.
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Hey, I need some help! I will mark the best one!
Solve for x.
−35x+15>720
Drag and drop a number or symbol into each box to correctly complete the solution.
Answer:
I believe the answer is x< -141/7
−141
7
Step-by-step explanation:
Step 1: Subtract 15 from both sides.
−35x+15−15>720−15
−35x>705
Step 2: Divide both sides by -35.
−35x/-35> 705/-35
x < -141/7
Hope this helps! :)
Answer:
x < -1/4
Step-by-step explanation:
:) Took the test on k12 :)
Solve this for me please.
Answer:
3. 8 feet
Step-by-step explanation:
To find the horizontal distance (x) in feet, we can use the following steps:
Step 1: Determine the vertical height that the box has been lifted.
The difference between the two points is:
9 ft - 3 ft = 6 ft.
Therefore, the box has been lifted 6 feet.
Step 2: Use the slope of the ramp to find the horizontal distance (x).
The slope of the ramp is given as 3/4. This means that for every 3 feet the ramp rises vertically, it moves 4 feet horizontally. We can set up a proportion to solve for x:
3/4 = 6/x
We can cross-multiply to get:
3x = 24
Dividing both sides by 3 gives us:
x = 8
Therefore, the horizontal distance (x) is 8 feet.