Answer:
-3/4
Step-by-step explanation:
First, let's convert the mixed numbers into improper fractions in an effort to make this problem easier to solve.
-2 1/2 as a mixed number is -5/2 and -1 3/4 as a mixed number is -7/4.
Our problem is now -5/2 - (-7/4).
We still can't solve this because the two fractions do not share a common denominator. 4 can serve as one, so -5/2 with a denominator of 4 would be -10/4.
The problem is now -10/4 - (-7/4).
Two negatives make a positive so the problem can be rewritten as -10/4 + 7/4. The final answer is -3/4.
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
Find the lettered angles in each of the following.
( where a point o is given , it is the centre of the circle) .
t=46°
u=134°
v=23°
w=23°
Answer:
Solution given;
v=w [base angle of triangle]
<SPQ+<SRQ=180°[sum of opposite angle of a cyclic quadrilateral is 180°]
81+v+53+w=180°
134°+v+v=180°
2v=180°-134°
v=46/2
v=23°
w=v=23°
In triangle ∆ PQR
v+w+u=180°[sum of interior angle of a triangle]
23+23+u=180°
u=180°-46°
u=134°
again
In triangle ∆ PSR
t+81+53=180°
t=180°-134°
t=46°
Answer:
t and u are supplementary as opposite angles of a cyclic quadrilateral.
t = 180 - (81 + 53) = 46u = 180 - t = 180 - 46 = 134v and w are equal as opposite angles to equal sides.
v = w = 1/2(180 - u) = 1/2(180 - 134) = 23Help 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!
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:
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
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
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
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
What is the height, x, of the equilateral triangle shown?
Answer:
B
Step-by-step explanation:
- Divide the base by 2
10 / 2 = 5 in
- multiply by √3
5√3 in
HELP ASAP!!!
THANK YOU!!!!
Answer:
V = 56 cm^3
Step-by-step explanation:
Volume is given by
V = l*w*h where l is length w is width and h is height
V = 7*4*2
V = 56 cm^3
Answer:56
Step-by-step explanation:
The formula for a rectangular prism is V=whl
V=(7)(4)(2)
7 times 4 is 28
28 times 2 is 56
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
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
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).
In how many ways can a
television programming director
schedule six different
commercials in the six time slots
allocated to commercials during a
1-hour program?
n!
Note: „P,
(n-r)!
Please HELP ME!!!!!!
Answer:
720
Step-by-step explanation:
Using the equation given
[tex]\frac{6!}{(6-6)!}=\frac{6!}{0!}=\frac{6!}{1}=720[/tex]
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
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]
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.
helpppppppppppppppppppppppppppppp
Answer:
D
Step-by-step explanation:
because the new number is changing to a new and all old is ready.
suppose you roll to standard number cubes. let event a be rolling a 4 on the first die and let event b be rolling a 3 on the second die. are a and b independent events? are a and b mutually exclusive events. explain.
Answer:
The events are independent and are not mutually exclusive.
Step-by-step explanation:
Two events A and B are independent if the outcome of each of them does not affect the outcome of the other.
And two events are mutually exclusive if these can't occur at the same time.
Here the events are:
a = rolling a 4 on the first die
b = rolling a 3 on the second die.
Becuase, these are number cubes, we know that the outcome of one die has no impact in the outcome of the other die.
And because each outcome is on a different die, we can conclude that these events are independent.
(rolling a 4 in the first die does not change the probability of getting a 3 when we roll the second die).
Now, the events are mutually exclusive?
No, we can roll both dices and get a 3 in the first one and a 4 in the second one, so these events can happen in the same time.
Answer:
YES.
Step-by-step explanation:
The event rolling a number '4' and the event rolling a number '3' are mutually exclusive events because both of them cannot occur at the same time.
Just took quick check
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
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.
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
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
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]
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
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
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
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
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.
