The cost of 45 packets of instant noodles given the direct variation is $52.335
Direct variationlet
Amount spent on noodles = nNumber of Packets purchased = pn = k × p
Where,k = constant of proportionality
34.88 = k × 30
34.88 = 30k
k = 34.88/30
k = 1.16266666666666
Approximately,
k = 1.163
Find n when p = 45
n = k × p
= 1.163 × 45
n = $52.335
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What is the length of focal chord of the equation y^2 + 6y - 2x + 13 = 0?
Answer:
2 units
Step-by-step explanation:
The given equation graphs as a parabola that opens to the right. It can be written in the form ...
(4p)x = ay² +by +c
Interpreting the equationWhen the equation is written in the form ...
(4p)x = ay² +by +c
The value of p is the focus-to-vertex distance. The length of the latus rectum (focal chord) is 4 times the value of p, so is the coefficient of x in the equation.
ApplicationRewriting the given equation to the form shown above, we have ...
2x = y² +6y +13
That is, the value of 4p, the coefficient of x, is 2. The length of the focal chord is 2 units.
Choose the definition for the function.
-2x + 1
a.y = {=
a.y=-x+ 2
(-2x + 1
b.y = -x + 2
{
x ≤ 1
x>1
x < 1
x ≥ 1
-2x + 1 x > 1
x ≤ 1
c. y = -x + 2
{-2x+2
(-2x + 1
d. y = -x + 2
{
x ≥ 1
x < 1
Answer: its d
Step-by-step explanation:
above answer is wrong and D is right.
Shania owns a gym for women clients. She advertises that women can lose 1/2 pound per week by visiting her gym 3 times a week. If this is the case, how many pounds can women lose in a month?
(4 wks/mo)(1/2 lb/wk) = 2 lb/mo
(4_1/3 wks/mo)(1/2 lb/wk) = 2.17 lb/mo
Women who visit Shania's gym three times per week have the ability to drop two pounds in a month.
If women visit Shania's gym three times a week and can lose 1/2 pound per week, we can calculate how many pounds they can lose in a month (assuming a month has four weeks on average).
The rate of weight loss is 1/2 pound per week. So in one month, which is four weeks, the weight loss would be:
Weight loss per week × Number of weeks in a month = (1/2) × 4 = 2 pounds
Therefore, women visiting Shania's gym three times a week can potentially lose 2 pounds in a month.
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1.25 +1.25+1.25+1.25
Answer:
5
Step-by-step explanation:
1.25+1.25+1.25+1.25=5
A group of friends was working on a student film that had a budget of $700. They used $658 of their budget on costumes. What percentage of their total budget did they spend on costumes?
[tex]\huge\boxed{94\%}[/tex]
Simply use division to solve this problem.
[tex]\dfrac{\$658}{\$700}=0.94[/tex]
Now, multiply this by 100 to get a percentage.
[tex]0.94=\large\boxed{94\%}[/tex]
Calculus help please 10 points for 18&19
thanks!
First function - The function is not continous on [0, 5] because h(5) is not defined.
Second function - There are no discontinuities.
How to determine the continuity of a function
In this problem we have two functions, whose continuity has to be checked. The first equation is a rational function and the second one is a polynomic function. There is a discontinuity in a function f at a given point if and only if the function evaluated at such point does not exist.
The discontinuities of rational functions are those x-values such that the denominator equals zero. The first function is defined for the interval [0, 5] and it is continuous if the function exists for all value of the interval. Thus:
5 - x = 0
x = 5
The rational function has a discontinuity at x = 5. The function is not continous on [0, 5] because h(5) is not defined. (Correct choice: C)
In accordance to algebra, polynomic functions are continuous as there exist a result for all value of x. There are no discontinuities.
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A Bus begins its trip with R occupants (including the driver).At each of the 20 stops three people get on and no one leaves if there are three times as many boss occupants at the end of the 20th stop as there are at the end of the fourth stop how many occupants did the bus have immediately after the 10th stop?Pls explain for brainlest
A.12
B.24
C.30
D.42
Answer
D.42
Step-by-step explanation:
It's pretty easy and hard at the same time just do not overthink it. Obviously, the bus leaves with R occupants including the driver but that still means that there are occupants, to begin with. Now remembering that 3 people get on each stop you can take it to multiply 3*10 (3 people, ten stops) you would get thirty. Would this be the answer? NO! Remember that you began with R occupants to begin with and either using the process of elimination or common sense you can conclude that 12,24 are improbable answers because they are lower than thirty, and what about thirty? No, because you had thirty people in addition to the original occupants so that eliminates thirty. What's left?
42
There Is Your Answer
Answer:
D. 42================
GivenThe bus has initially R occupants,At each stop the occupants increase by 3,After 20 stops there are 3 times more occupants than after 4 stops.To findThe number of occupants after 10 stopsSolutionLet's find out the how many occupants are there after 20 and 4 stops, then compare:
After 20 stops:
R + 3*20 = R + 60After 4 stops:
R + 3*4 = R + 12Compare and solve for R:
R + 60 = 3(R + 12)R + 60 = 3R + 363R - R = 60 - 362R = 24R = 12We found the number of initial occupants.
Use this to find the number of occupants after 10 stops:
12 + 3*10 = 12 + 30 = 42Correct answer choice is D.
Hi, need help please to get my HS diploma...did not graduate :(
Let V(x)=−x2+2x−4 and W(x)=−x3+2x2+x+5. Find V(x)⋅W(x)
Answer:
B
Step-by-step explanation:
I assume this should look like
V(x) = -x² + 2x - 4
W(x) = -x³ + 2x² + x + 5
when doing arithmetic operations with whole functions, we simply do these operations with the whole expressions :
V(x) × W(x) =
(-x² + 2x - 4) × (-x³ + 2x² + x + 5) =
= x⁵ - 2x⁴ - x³ - 5x² - 2x⁴ + 4x³ + 2x² + 10x + 4x³ - 8x² - 4x - 20 =
= x⁵ - 4x⁴ + 7x³ - 11x² + 6x - 20
Select the correct answer from each drop-down menu.
A researcher is examining the claims made by a water softener salt manufacturer. He performs an experiment using water from a variety of sources. For each water source, he has a sample with no treatment and a sample treated with the recommended amount of the water softener salt.
He then tests each sample to measure the softness and compares the results, determining that the claims made by the manufacturer are true.
The conclusion drawn from the study is _____ because the sample is _____. In this instance, an ______study was performed.
The conclusion is valid in this experiment because the sample is homogenous and an experimental study was performed.
What is an experimental study?It should be noted that an experimental study is one in which there is a dependent variable and there is a dependent variable. Also a control is used to establish the validity of the results.
In this case, the dependent variable is the level of softness after treatment while the independent variable is the type of water softener used.
The conclusion is valid in this instance because the sample is homogenous and an experimental study was performed.
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9. The measure of each exterior angle of a regular pentagon is
the measure of each exterior
angle of a regular nonagon.
Answer:
55,55
Step-by-step explanation:
hereakaigdidjuwjapwwjshd
what is the reminder when X³ +4X² - 2X + I is divided by X + 1 what is the reminder when X³ + 4X² - 2X + I is divided by X + 1
Answer:
6
Step-by-step explanation:
help me help me please guys send me in 5 minutes I really need it
Answer:
a) If the question is 18 and 13, then 1. If 18 and 3, then 3.
b) 10
c) 5
d) 15
e) 11
f) 20
Have a nice day :)
evaluate this piecewise function at x= -6 and x=2
The values of the piecewise function are f(-6) = 6 and f(2) = 1
How to evaluate the function?The complete question is in the attached image.
The value x = -6 is in the domain: -8 <= x < 1
The function at this domain is:
f(x) = |x|
So, we have:
f(-6) = |-6|
Evaluate
f(-6) = 6
Also, we have:
The value x = 2 is in the domain: x >= 1
The function at this domain is:
f(x) = 3
So, we have:
f(2) = 1
Hence, the values of the piecewise function are f(-6) = 6 and f(2) = 1
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PLEASE ANSWER PROBLEM IN THE IMAGE PLEASE GIVE EXPLANATION IF YOU DON’T WANT TO GIVE A EXPLANATION DON’T ANSWER WILL GIVE BRAINLEST THANK YOU
image below
Answer:
30
Step-by-step explanation:
We can determine the number of different sets of reports by determining how many possible options are available per subject and then multiplying them.
There are 5 total options for geography, 3 for English, 1 for sciences, and 2 for maths. Multiplying these gets us 30.
#LearnWithBrainly
Calculate total choices for individual then multiply
Geography=5English=3Science=1Math=2Total choices
5(3)(2)(1)30Option C
How many hectometers are in 16 decimeters
Answer:
0.016 decimeters
Step-by-step explanation:
16 x 10^-3 = 0.016dm
Answer:
0.016 hm
Step-by-step explanation:
i dont cap
During a radio contest, $50 is added to the prize money each time a caller answers the contest question incorrectly. the first caller has a chance to win $100. which equation represents the amount the 10th caller receives if this caller is the first to answer the question correctly?
Answer:
50x+100=y
y=550
Step-by-step explanation:
Since the first caller can win $100, you add 100 onto the end. After you add 50 for every person who answered incorrectly. X being amount tried/answered incorrectly, and Y being the amount you can win at that given time
Answer:
A. a10=100+(10-1)50
Step-by-step explanation:
2.1. The following is a recipe for making 18 scones: 1 cup white sugar, cup butter, 2
teaspoons vanilla essence, 1 cups flour, 2 eggs, 12 teaspoons baking powder, cup of milk
On your birthday you decide to use this recipe to make scones for the staff at your school. How
would you adjust the recipe so that you can make 60 scones?
(10)
man
The adjusted recipe for 6scones is shown as;
4.2 cup white sugar, cup butter,
7.2 teaspoons vanilla essence,
4.2 cups flour,
7.2 eggs,
37.2 teaspoons baking powder, cup of milk
Ratio and proportionsFractions are written as a ratio of two integers. Given the recipe for 18scones as
1 cup white sugar, cup butter,
2 teaspoons vanilla essence,
1 cups flour,
2 eggs,
12 teaspoons baking powder, cup of milk
For the given 60 scone;
4.2 cup white sugar, cup butter,
7.2 teaspoons vanilla essence,
4.2 cups flour,
7.2 eggs,
37.2 teaspoons baking powder, cup of milk
This given the adjusted recipe for 60 scones
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Halfway through the season, a soccer player has made 12 penalty kicks in 18 attempts.
Based on her performance to date, what is the relative frequency probability that she will miss
her next penalty kick?
Answer:
21
Step-by-step explanation:
18÷6=3 attemps
13÷6=2 makes
she will probably missed I next 3rd pe alty kick
21st attempts
do synethtic wig curls only come out if you put heat on it Answer Asap for brainlist
Answer:
. It will curl without heat. You Never attempt to use hot tools, like a curling iron, on a synthetic wig – unless the label specifically says that the wig can tolerate heat. If not, you can use foam rollers to curl the wig using the method below.
Step-by-step explanation:
Answer:
Yes, it is possible to curl a synthetic wig. But you should never attempt to use hot tools, like a curling iron, on a synthetic wig, unless the label specifically says that the wig can tolerate heat. If not, you can use foam rollers to curl the wig.
If m < ACD = 100 , then m < ACE = ?
If m ∠ACD = 100°, then m ∠ACE = 80°, as ∠ACD and ∠ACE are supplementary angles.
Supplementary angles are the angles whose sum is equal to 180°. The angles formed when one straight line intersects the other, on the point of intersection on the same side of any line are always supplementary.
In the given question, AB and DE are two straight lines intersecting at point C. ∠ACD and ∠ACE lie on the same side of the line DE, thus they are supplementary angles.
Therefore, m ∠ACD + m ∠ACE = 180°.
But we know that m ∠ACD = 100°. So,
m ∠ACD + m ∠ACE = 180°,
or, 100° + m ∠ACE = 180°,
or, m ∠ACE = 180° - 100° = 80°.
Therefore, if m ∠ACD = 100°, then m ∠ACE = 80°, as ∠ACD and ∠ACE are supplementary angles.
For the complete question, check attachment 1.
For reference to the solution, check attachment 2.
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In a country 55% of the male population has houses in cities while 30% have houses both in cities and in villages . Find the percentage of the population that has houses only in villages.
15%
{100-(55+30)}%
={100-(85)}%
=15%
Write the equation of a sine or cosine function to describe the graph.
Answer:
y = cos(3/2x)
Step-by-step explanation:
A general sine or cosine function will have parameters of amplitude, vertical and horizontal offset, and period. The values of these parameters can be determined from the given graph.
y = A·cos(2π(x -B)/P) +C
where A is the amplitude, B and C are the horizontal and vertical offsets, and P is the period.
AmplitudeFor sine and cosine functions, the amplitude of the function is half the difference between the maximum and minimum:
A = (3 -1)/2 = 1
Horizontal offsetA sine function has its first rising zero-crossing at x=0. A cosine has its first peak at x=0. The given graph has its first peak at x=0, so it is a cosine function with no horizontal offset.
B = 0
Vertical offsetFor sine and cosine functions, the vertical offset is the average of the maximum and minimum values:
C = (3 +1)/2 = 2
PeriodThe period is the difference in x-values between points where the function starts to repeat itself. Here, we can use the peaks to identify the period as 4π/3.
P = 4π/3
Function equationUsing the parameter values we determined, the function can be written as ...
y = cos(3/2x) +2
__
Additional comment
The argument of the cosine function is ...
[tex]\dfrac{2\pi(x-B)}{P}=\dfrac{2\pi(x-0)}{\dfrac{4\pi}{3}}=\dfrac{3(2\pi)}{4\pi}x=\dfrac{3}{2}x[/tex]
L.C.Mof 16, 28, 42,60
Answer:
1680
Step-by-step explanation:
First do the prime factorization:
16=2x2x2x2
28=2x2x7
42=2x3x7
60=2x2x3x5
To find least common multiple (LCM), write down all prime factors of one of the number and multiply by factors from other numbers that was not in that number:
LCM=2x2x3x5x7x2x2=1680
Solution
We are given two endpoints here
Point 1: (−1, Answer
)
Point 2: ( Answer
,4)
We know our rise between the two points is 1. So
12= Answer
And our run between the two points is 4. So
42= Answer
We now have rise2+run2=distance2, so we have
1+16=distance2
Answer
=distance2
So once we take the square root of both sides we have
distance=√ Answer
We could also use the actual distance formula we developed to get the same answer.
d=(4−3)2+(−5−(−1)2)−−−−−−−−−−−−−−−−−−−√
d=(12+(−4)2)−−−−−−−−−−√
d=(1+16)−−−−−−−√
d=√ Answer
The distance between the two points on the plane is √17
Distance between two pointsThe formula for calculating the distance between two points is expressed as;
D = √(x2-x1)²+(y2-y1)²
From the given plane, we have the following coordinates
(-5, 4) and (-1, 3)
Substitute
D = √(3-4)²+(-1-(-5))²
D = √(-1)²+(4)²
D= √1+16
D=√17
Hence the distance between the two points on the plane is √17
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Which of these is an exponential parent function? OA. f(x)=2x-2 OB. f(x) = 2x C. f(x) = 2x + 3 OD. f(x) = 24x
The answer to this question is choice B
f(x)=5x-25 What is the domain of the function?
Answer:
Domain: All Real Numbers
Step-by-step explanation:
Since this function is a linear function, it will use any x-value in order to continue with being a linear function. Therefore, if the line goes on for infinity, every x-value will be used for infinity. Therefore, the domain will be All Real Numbers since every number on the x-axis has a possibility of being used.
What is the value of this expression when x=2 and y=-4? -3(x-y)2
Answer:
-108
Step-by-step explanation:
[tex] - 3 \times { (2 - ( - 4)) }^{2} = \\ - 3 \times ( {2 + 4})^{2} = \\ - 3 \times 36 = - 108[/tex]
Answer:
108 is correct hjgbjbvmbhbjnnn
What is the equation of the graph below?
Answer:
A
Step-by-step explanation:
The average student loan debt for college graduates is $25,150.
Suppose that that distribution is normal and that the standard deviation
is $12,050. Let X = the student loan debt of a randomly selected college
graduate. Round all probabilities to 4 decimal places and all dollar
answers to the nearest dollar.
a. What is the distribution of X? X - N
b Find the probability that the college graduate has between $14,200
and $33,950 in student loan debt.
c. The middle 10% of college graduates' loan debt lies between what
two numbers?
Low: $
High: $
Using the normal distribution, it is found that:
a) [tex]X \approx N(25150, 12050)[/tex]
b) There is a 0.5859 = 58.59% probability that the college graduate has between $14,200 and $33,950 in student loan debt.
c) Low: $23,519.65, High: $26,580.35.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 25150, \sigma = 12050[/tex].
Hence the distribution of X can be described as follows:
[tex]X \approx N(25150, 12050)[/tex]
The probability that the college graduate has between $14,200 and $33,950 in student loan debt is the p-value of Z when X = 33950 subtracted by the p-value of Z when X = 14200, hence:
X = 33950:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{33950 - 25150}{12050}[/tex]
Z = 0.73
Z = 0.73 has a p-value of 0.7673.
X = 14200:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{14200 - 25150}{12050}[/tex]
Z = -0.91
Z = -0.91 has a p-value of 0.1814.
0.7673 - 0.1814 = 0.5859.
There is a 0.5859 = 58.59% probability that the college graduate has between $14,200 and $33,950 in student loan debt.
Considering the symmetry of the normal distribution, the middle 10% is between the 45th percentile(X when Z = -0.127) and the 55th percentile(X when Z = 0.127), hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.127 = \frac{X - 25150}{12050}[/tex]
X - 25150 = -0.127(12050)
X = $23,519.65.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.127 = \frac{X - 25150}{12050}[/tex]
X - 25150 = 0.127(12050)
X = $26,580.35.
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Direction: Given the following scatter plot, determine if there is a relationship occurred. HANDWRITTEN.
COPY AND ANSWER WITH COMPLETE SOLUTION. AVOID COPYING OR CHEATING IN ANY FORM.
1.
A = points in upper left + points in lower right = ______
B = points in upper right + points in lower left = ______
Q = the smaller of A and B = ______
N = A + B = ______
Is there a relationship? ____ Yes ____ N
there's relationship between the points upper left and points in d lower left
Step-by-step explanation:
points in upper right nd points in lower left
the smaller of A+B=a+b
yes