Answer:
The base cost of the camera, exclusive of sales tax, is $160.
Step-by-step explanation:
Set up this equation and solve for x, which is the cost of the camera:
$3.20 = $0.02x [0.02 = 2%]
Solve the equation by dividing $3.20 by 0.02. The answer is $160.
Answer: $160 for the camera
Step-by-step explanation:
0.2x160=3.2
$160
Please help ASAP!!!!
========================================================
Explanation:
The two points mentioned in bold are midpoints of segments AB and AC respectively.
To find the coordinates of a midpoint, you add up the x coordinates and divide by 2. Do the same with the y coordinates.
For example, points A and B are at (7,6) and (1,-2)
If we add up the x coordinates and divide by 2, then we get (7+1)/2 = 4. Do the same for the y coordinates to get (6+(-2))/2 = 2. So that's how (4,2) is the midpoint of segment AB. You'll use similar logic to find that (8,2) is the midpoint of segment AC.
A slight alternative is that once you find one midpoint is (4,2), you can draw a horizontal line until you reach (8,2). We're using the idea that the midsegment is parallel to BC which is also horizontal.
write 7 pi divided by 60 in degrees
Answer:
You have reached the concluding section of our information about (7/60)×π rad to deg.
7pi/60 rad = 21°.
The radian measure is the standard unit of measure in the areas of math involving a circle like the sine and cosine function, just to name two trigonometric functions.
Using our calculator, formula and information, you have everything for changing the angle measurement at your disposal.
If you have found our post searching for 7pi/60 radian to degrees or a similar term, then you have gotten your answer as well: 7pi/60 rad ⇔ 21°.
Answer:210
Step-by-step explanation: took the test
fx) = x2 - 8x + 15
g(x) = x-3
h(x) = f(x)/g(x)
Answer: [tex]\Large\boxed{h(x)=x-5}[/tex]
Step-by-step explanation:
[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppp\displaystyle\ \Large \boldsymbol{} h(x)=\frac{f(x)}{g(x)} =? \\\\\\f(x)=x^2-8x+15\\\\\\x^2-8x+\underbrace{15+1-1}_{15}=0 \\\\\\\underbrace{x^2-8x+16}_{(x-4)^2}-1=0 \\\\\\(x-4)^2-1\Longrightarrow f(x)=(x-5)(x-3)[/tex] [tex]\displaystyle\ \Large \boldsymbol{} h(x)=\frac{(x-3)(x-5)}{(x-3)}=\boxed{x-5}[/tex]
The product of¾ xy and 3/4is ____________.
Answer:
9/16xy
Step-by-step explanation:
Multiply through by 3/4
(3/4xy) × (3/4)
numerator =(3×3) = 9
denominator = (4×4) = 16
Simplifying = 9/16xy
which two consecutive integers does q lie
Answer:
it lies between P and R because I tootk the test
helpppppppppppppppppppppppppppppp
Answer:
D
Step-by-step explanation:
because the new number is changing to a new and all old is ready.
5. Which question is a statistical question?
Select Yes or No.
A. How long is lunch period at your school?
O Yes
Ο O No
B. How old is the oldest student in your
class? be
O Yes Ο Νο
C. How many classrooms are there in the
buildings of your school?
O Yes
D. What are the ages of all the people in
Ο O No
your class?
O Yes
Ο O No
The profitability, P, of a popular restaurant franchise can be modeled by the function P (t) = t4 – 10t3 + 28t2 – 24t, where t is the number of months since the restaurant opened. How many months after the franchise opens will it begin to show a profit?
A. 0 months
B. 2 months
C. 4 months
D. 6 months
In this question, the profit of the restaurant after t months is given by a polynomial function. To find when it begins to show a profit, we find the numerical values of the function for t, and it shows a profit when [tex]t > 0[/tex]
Profit after t months:
[tex]P(t) = t^4 - 10t^3 + 28t^2 - 24t[/tex]
0 months:
This is P(0). So
[tex]P(0) = 0^4 - 10*0^3 + 28*0^2 - 24*0 = 0[/tex]
1 month:
This is P(1). So
[tex]P(1) = 1^4 - 10*1^3 + 28*1^2 - 24*1 = -5[/tex]
2 months:
This is P(2). So
[tex]P(2) = 2^4 - 10*2^3 + 28*2^2 - 24*2 = 0[/tex]
3 months:
This is P(3). So
[tex]P(3) = 3^4 - 10*3^3 + 28*3^2 - 24*3 = -9[/tex]
4 months:
This is P(4). So
[tex]P(4) = 4^4 - 10*4^3 + 28*4^2 - 24*4 = -32[/tex]
5 months:
This is P(5). So
[tex]P(5) = 5^4 - 10*5^3 + 28*5^2 - 24*5 = -45[/tex]
6 months:
This is P(6). So
[tex]P(6) = 6^4 - 10*6^3 + 28*6^2 - 24*6 = 0[/tex]
7 months:
This is `P(7). So
[tex]P(7) = 7^4 - 10*7^3 + 28*7^2 - 24*7 = 175[/tex]
After 7 months it shows profit, so it starts showing profit on the 6th month, and thus, the correct answer is given by option D.
For another example of a function involving numeric value, you can check https://brainly.com/question/24231879
A student bought 84 pencils. If he sharpened 35 pencils, what is the ratio of the unsharpened pencils to the sharpened pencils?
Hello!
Sharpened => 35
Unsharpened => 84-35 = 49
49:35= 7:5Good studies!
Answer:
7: 5
Step-by-step explanation:
unsharpened to sharpened
First we need to determine the number of unsharpened
84 - 35 =49
There are 35 sharpened
49:35
Divide each by 7
49/7 : 35/7
7: 5
Three cyclists simultaneously start their movement from the same point at 7 am. Their routes take 10 minutes, 25 minutes and 15 minutes, respectively. When will be the first time that the three cyclists meet again at the starting point?
Answer:
The 3 cyclists will meet at the starting point again after 150 minutes.
Step-by-step explanation:
Since they start at the same point but then take different times to each route, then to find the first time they will each meet at the starting point, we have to find the lowest common multiple (LCM).
Let's use prime factorization to get it.
Prime factorization of 10 = 2 × 5
Prime factorization of 15 = 3 × 5
Prime factorization of 25 = 5 × 5
Thus,super set = 2, 3, 5, 5
Thus,LCM = 2 × 3 × 5 × 5 = 150
Thus,the 3 cyclists will meet at the starting point again after 150 minutes.
What is the equation of the line of best fit for the following data? Round the
slope and y-intercept of the line to three decimal places.
Answer:
Step-by-step explanation:
I am going to assume that you are doing this on your calculator using the stat button as opposed to having to find it by hand which is so extremely long and drawn out, you'd be dead by the time we found the equation...
The equation of the line of best fit is
y = 1.383x - 1.526
I would explain to you how to do that, but it's a very involved process on your calculator. Find out how to do it and it's the easiest thing in the world!!!
The required equation of the line is y = 0.667x + 2.334
From the table given equation of the line is determined.
x = 4 7 10 12 13
y = 5 7 12 14 18
A line is a curve showing the shortest distance between 2 points.
Standard equation of line, y =mx + c
The slope of equation m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] and c is y intercept.
m = 7-5/7-4
m = 2/3
Now put m in the standard equation
y = 2x/3 + c - - - - -(1)
to find the value of c we will put a point (7, 7) in the equation.
7 = 7*2/3 + c
c = 7 - 14/3
c = (21-14)/3
c = 7/3
Put c in equation 1
y = 2x/3 + 7/3
y = 0.667 x +2.334
Thus, The required equation of the line is y = 0.667 x +2.334
Learn more about lines here:
brainly.com/question/2696693
#SPJ5
Sally is serving lemonade to four friends. She is serving 4/7 cup per person.
Estimate how much lemonade she needs. Then calculate exactly how much she needs. What is the difference between the estimate and actual amount?
pls help, :)
Answer:
oi ngl levi is hawt I like your pfp ^^
Step-by-step explanation:
my name is Riley
Plz help me with this thank you
Answers:
One possible equation to solve is tan(x) = 4/15That solves to roughly 15 degrees==============================================================
Explanation:
Refer to the diagram below.
The segment AB is the player's height of 6 ft.
The segment CD is the hoop's height, which is 10 ft.
There is a point E on CD such that rectangle BACE forms. This will help us form ED later.
Angle EBD is what we're after, which I'll call x.
Since the free throw line is 15 ft from the basket, this means segments EB and AC are 15 ft each.
In rectangle BACE, the side EC is opposite AB. So both of those sides are 6 ft each.
Since CD = 10 and EC = 6, this must mean ED = CD-EC = 10-6 = 4.
---------------------------------------
To summarize, we found that ED = 4 and EB = 15.
We'll focus our attention entirely on triangle EBD
We have two known legs of the triangle, specifically the opposite and adjacent sides.
So we'll use the tangent ratio.
tan(angle) = opposite/adjacent
tan(B) = ED/EB
tan(x) = 4/15 .... is the equation to solve
x = arctan(4/15) .... same as inverse tangent or [tex]\tan^{-1}[/tex]
x = 14.931417 ..... make sure to be in degree mode
x = 15 ..... rounding to the nearest whole degree
So that unknown angle in the diagram is approximately 15 degrees
when a pen is sold at a discount of 15%.There is a gain of rs 10.But if it is sold at 25% discount there is a loss of rs 2.Find the Mark price of the pen.
The mark price of the pen is 120 rs
The first step is to write out the parameters given the question
Discount= 15%
Gain= rs 10
Discount= 15%
loss= rs
When a pen is sold at a discount of 15% there is a gain of rs 10
When the pen is sold at 25% discount there is a loss of rs 2
The mark price of the pen can be calculated as follows
15% = c.p + 10 rs
25 % = c.p - 2 rs
25%-15% = 10 rs +2 rs
10% = 12 rs
10/100 = 12 rs
0.1= 12 rs
12/0.1
= 120 rs
Hence the mark price of the pen is 120 rs
Please see the link below for more information
https://brainly.com/question/17109020?referrer=searchResults
Mark Price: RS. 120
The Gain Function is the difference between Resulting Price, which is the Mark Price including Discount Rate, and the Reference Price, where positive result represents Net Gain, as negative result represents Net Loss. Gain Function is described below:
[tex]G = \left(1-\frac{r_{D}}{100} \right)\cdot P_{M}-P_{R}[/tex] (1)
Where:
[tex]G[/tex] - Gain function, in monetary units.
[tex]r_{D}[/tex] - Discount rate, in percentage.
[tex]P_{M}[/tex] - Mark price, in monetary units.
[tex]P_{R}[/tex] - Reference price, in monetary units.
The Mark Price of the pen is the price shown on the label of the product, whereas the Reference Price is the purchase cost of the product from provider.
Based on what it is written on statement we have the following system of linear equations:
1) When a pen is sold at a discount of 15 %. There is a gain of RS. 10: ([tex]G = 10[/tex], [tex]r_{D} = 15[/tex])
[tex]\left(1-\frac{15}{100} \right)\cdot P_{M} - P_{R} = 10[/tex] (2)
2) But if it is sold at 25 % discount there is a loss of RS. 2: ([tex]G = -2[/tex], [tex]r_{D} = 25[/tex])
[tex]\left(1-\frac{25}{100} \right)\cdot P_{M} - P_{R} = -2[/tex] (3)
The solution of the resulting system of linear equations is:
[tex]P_{M} = 120[/tex], [tex]P_{R} = 92[/tex]
The mark price of the pen is RP. 120.
find the area to this question
Answer:
170.54m²
Step-by-step explanation:
there are three shapes
triangle: is 1/2*3*5=7.5
square is 6*5=30
circle=3.14*6²=133.04
7.5+30+133.04=170.54
answer is 170.54
Trey took 5/4
hours to clean the bedroom. He took1/2
hours to clean the den. How much longer did it take Trey to clean the bedroom?
Write your answer as a mixed number in simplest form.
Answer:
3/4 more hours
Step-by-step explanation:
Hours taken to clean bedroom = 5/4
Hours taken to clean den = 1/2
How much more = 5/4 - 1/2
5-2/4 (common denominator)
3/4 more hours (It's a propper fraction, so we can't write it as a mixed number)
Answer from Gauthmath
Calculate the sum of the first 30 terms in the sequence that begins with 70,65,60
[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd \displaystyle \Large \boldsymbol{} a_1=70 \ ; \ d=-5 \\\\S_n=\frac{a_1+a_n}{2} \cdot n \ ; \ a_n=a_1+(n-1)d \Longrightarrow \\\\\\ S_{30}=\frac{70+70-29\cdot5}{2} \cdot 30 =-75 \\\\\\Answer: S_{30}=-75[/tex]
What is the circumference of a circle with a diameter of 6 feet? Use 3.14 for pie.
Answer:
18.84
Step-by-step explanation:
Answer:
18.84
Step-by-step explanation:
consider the lines and the transversal drawn in coordinate plane below.
Answer:
i dont know man
Step-by-step explanation:
i dont know
Help please I don’t understand this
Answer:
x=-2
sorry i messed up coord val :/
Step-by-step explanation:
Answer:
x = -2
Step-by-step explanation:
a parabola is symmetric (has a mirror image)
a parabola has ONE vertex (a highest or lowest point).
thus a line that goes through the vertex is it's axis of symmetry.
x = 5 , x=99, x=102 are vertical lines that intersect the x axis no matter what the y value is....
your axis of symmetry is a line that looks like X= SOMETHING
the "something" is the X value of the vertex, which is (-2,3)
this the equation x = -2 is the answer ... see the image
Brian rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total that is prime
The sum of the faces is going to fall in the range {2, 3, 4, …, 12}, which contains five prime numbers {2, 3, 5, 7, 11}. You can only have one sum at a time, so these outcomes are mutually exclusive. Then
Pr[sum is prime] = Pr[sum = 2] + Pr[sum = 3] + … + Pr[sum = 11]
• sum = 2 can only happen in 1 way (1 + 1)
• sum = 3 can happen in 2 ways (1 + 2, 2 + 1)
• sum = 5 can happen in 4 ways (1 + 4, 2 + 3, 3 + 2, 4 + 1)
• sum = 7 can happen in 6 ways (1 + 6, 2 + 5, …, 6 + 1)
• sum = 11 can happen in 2 ways (5 + 6, 6 + 5)
There are a total of 6² = 36 possible sums that can be rolled, each with probability 1/36 of occurring, so the probability of getting a prime sum is
(1 + 2 + 4 + 6 + 2)/36 = 15/36 = 5/12
What is the interquartile range of the following data set? 78,90,456,676,111,381,21
Answer
The IQR of the data set is 368.
Explanation
To find the interquartile range, you first need to find the median of the data set. Then, you find the median of the median and subtract them. This might be a little confusing but I'll walk through everything.
First, put the data set in order from least to greatest; 21 78 90 111 381 456 676. Find the median. The median of this data set is 111, since it is the middle number when the data set is ordered from least to greatest.
To find the Q1 and Q3 of the set, you have to find the median of the median.
The set right now is 21 78 90 111 381 456 676. Remove the 111 (if there were an even amount of numbers in the set, you wouldn't remove the 111 and you would just split the data set in half). Now you have two sets: 21 78 90 and 381 456 676. The median of the first set is 78 (this is the Q1) and the median of the second set is 456 (this is the Q3).
To find the interquartile range, subtract the Q1 from the Q3. 456-78=368.
HELPPPP PLSSSS Which is true about the polynomial ? It is a binomial with a degree of 2. It is a binomial with a degree of 3. It is a trinomial with a degree of 2. It is a trinomial with a degree of 3.
i am not getting it what are you asking
Finding angle measures given two intersecting lines
Answer:
66, 114, 114
Step-by-step explanation:
angle 3=angle 1=66
angle 2=angle 4=180- angle 3=114
find the volume of each figure. Round to the nearest tenth if necessary.
Answer:
112
Step-by-step explanation:
The volume is given by l*b*h=4*4*7=112
2) John saved $5 in the first week of a year and then increased her weekly
savings by $1.75. If the nth week, her weekly savings become $20.75, find n.
Answer:
n = 9
Step-by-step explanation:
20.75 = 1.75n + 5
20.75 - 5 = 1.75n
15.75 = 1.75n
------- -------
1.75 1.75
9 = n
i need help i can't get the right answer
Answer:
x = 50
Step-by-step explanation:
I guess, this diagram tells us that the lines are parallel.
that means that they cut the third line at the exact same angles.
and that means
3x - 26 = 2x + 24
x - 26 = 24
x = 50
3x-26=2x+24
3x-2x=24+26
x=50
please mark this answer as brainlist
Help Now Please Find the surface area sphere
Answer:
900pi
Step-by-step explanation:
formula for sphere's surface area :
4πr^2
radius = 15 (30/2)
4*pi*15^2 = 900pi
Answer:
The surface area is 2827.43
Step-by-step explanation:
This is the formula:
A= 4 π r^2= 4· π· 15^2 = 2827.43339
Hope this helps you!
How will the solution of the system y > 2x + 2/3 and y <
2x + 1/3 change if the inequality sign on both inequalities
is reversed to y < 2x + 2/3 and
y> 2x + 1/3?
Answer:
The solution will go from NO common solutions to infinite solutions between the 2 parallel lines.
Step-by-step explanation:
In the original case all solutions for equation 1 are above line 1 (y >) and all solutions for equation 2 are below line 2 (y <), so there is no overlap and therefore no common solutions. When reversed, all solutions for line 1 are below line 1 and all solutions for line 2 are above line 2. So the overlap is everything between the two lines.
Answer:
The shaded area would reverse on both inequalities.
The graphs do not overlap until the signs are reversed.
There are an infinite number of solutions in the system once the signs are reversed.
There are no solutions before they are reversed.
Step-by-step explanation:
edge 2021
Question 4 of 10
Solve the triangle. Round your answers to the nearest tenth.