Answer:
x>20
Step-by-step explanation:
You want to try and get the x alone so
5x + 20 > 120
-20 -20 Subtract 20 from each side
5x > 100
5x/5 > 100/5 Divide 5 from each side
x > 20
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]
which two consecutive integers does q lie
Answer:
it lies between P and R because I tootk the test
please answer will give brainliest
Answer: 29152332 ≡ 0 (mod 3)
Step-by-step explanation:
In modular arithmetic, there is the form a ≡ b (mod m) where b is the remainder.
To solve this problem, we want to divide 29152332 by 3 and find the remainder.
29152332 ÷ 3 = 9717444
Since we get an integer with no remainder, we know the answer is 29152332 ≡ 0 (mod 3).
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]
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
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
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
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
Select the correct answer.
The variable b varies directly as the square root of c. If b= 100 when c = 4, which equation can be used to find other combinations of band c?
Step-by-step explanation:
b varies as √c
b=kc
divide both side by c
k=b/c
k=100/4
k=25
the equation is:
25=b/c
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.
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
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
Determine the constant of variation for the direct variation given. (0, 0), (3, 12), (9, 36)
12
4
3
Answer:
4
Step-by-step explanation:
y = kx
Use point (3, 12).
12 = k * 3
k = 12/3 = 4
y = 4x
Answer: 4
Divide y by x:
12/3 = 4
36 / 9 = 4
The constant of variation is 4
consider the lines and the transversal drawn in coordinate plane below.
Answer:
i dont know man
Step-by-step explanation:
i dont know
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
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
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:
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
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.
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!
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.
What is the initial value of 34.2 x 3^x
Initial value is your y intercept, and to find that you just need to substitute 0 for x. Anything to the power of 0 is just 1. So you get 34.2(1), which means that your initial value is 34.2.
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
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
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
Place groups of potential participants in order from largest group size to smallest: population, sampling frame, sample, individual being surveyed
Answer:
Population - - > Sampling Frame - - > Sample - - > Individual being surveyed
Step-by-step explanation:
Population is the largest as they include all units or subject of interest in a particular study or experiment. Next is the sampling frame which is the a list or compilation of all subjects which can form part of a sample. It is a compilation of all elements in the population from which the sample can be drawn.
The sample is a subset of the population of population, usually selected at random and it is representative of the population.
The individual surveyed represents a single subject or observation from the chosen sample.
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
helpppppppppppppppppppppppppppppp
Answer:
D
Step-by-step explanation:
because the new number is changing to a new and all old is ready.
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
What is the image of (1, -6) for a 90° counterclockwise rotation about the origin?
(-6, -1)
(-1, -6)
(-1, 6)
(6, 1)
Answer:
D
Step-by-step explanation:
As the counter clockwise rule is A(x,y) becomes A'(-y,x).
So (1, -6) becomes (6, 1)
Hope it helps you