Answer:
p = -2 ±sqrt( 5)
Step-by-step explanation:
p^2 + 4p = 1
Take the coefficient of p
4
Divide by 2
4/2 =2
Square it
2^2 = 4
Add it to each side
p^2 + 4p+4 = 1+4
(p+2) ^2 = 5
Take the square root of each side
sqrt((p+2) ^2) =±sqrt( 5)
p+2 = ±sqrt( 5)
Subtract 2 from each side
p+2-2 = -2 ±sqrt( 5)
p = -2 ±sqrt( 5)
3a/4+2a/3-a/12
a. a/3
b. 4/3
c. (4a)/3
Answer: C
Step-by-step explanation:
[tex]\frac{3a}{4}+\frac{2a}{3}-\frac{a}{12}[/tex]
Find the least common denominator of 4, 3, and 12.
4-3-12 | 3
4-1-4 | 4
1-1-1 |-------- 12
The first fractions needs to be multiplied by 3, and the second fraction, by 4
[tex](\frac{(3a)*3}{(4)*3})+(\frac{(2a)*4}{(3)*4})-\frac{a}{12}[/tex]
Solve;
[tex]\frac{9a}{12}+\frac{8a}{12}-\frac{a}{12}[/tex]
Add the fractions with positive signs and subtract the one with negative sign.
[tex]\frac{(9a+8a)-a}{12}[/tex]
Solve;
[tex]\frac{17a-a}{12}=\frac{16a}{12}[/tex]
Simplify by 4;
16/4=4
12/4=3
[tex]\frac{4a}{3}[/tex]
Answer:
(4a)/3
Step-by-step explanation:
3a/4+2a/3-a/12
find L.C.M
9a+8a-1a/12=16a/12
16a/12=(4a)/3
Sadie uses 9.8 pints of blue paint and white paint to paint her bedroom walls. 1 4 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
Answer:
7.35 pints
Step-by-step explanation:
If we use 1/4 of the 9.8 pints for blue, then the remaining white paint takes up 3/4 of the 9.8 pints of paint. To find how many pints of paint is equal to 3/4 of it, you must multiply that fraction by the amount (9.8).
[tex]\frac{3}{4}[/tex] * 9.8 (or 0.75 * 9.8) = 7.35
Therefore, 7.35 pints of the total paint used is white.
Hope I helped! Please give me brainliest!
An economy package of cups has 250 green cups if the green cups are 10% of the total package, how many cups are in the package?
Answer:
There are a total of 2500 cups
Step-by-step explanation:
10% of the cups are green
you can set up a equation for this
x = total cups
.10x = 250
multiply both sides by 10 to make x a whole number
x = 2500
plzzzzzzzzzzzzzaaaaaa
Answer:
C
Step-by-step explanation:
[tex]y^2+4y-32=0\\(y+8)(y-4)=0\\y=4,-8[/tex]
Therefore, the answer is C. Hope this helps!
Calculate the area of this figure below
Answer: [tex]96ft^2[/tex]
Step-by-step explanation:
We have a composite figure. We have a rectangle and a triangle. Calculate each of these figures' areas individually and add them together.
Rectangle:
length=10ft
width=8ft
[tex]Formula:A=l*w\\A=(10ft)(8ft)\\A=80ft^2[/tex]
----------------------------------------------------------
Triangle:
base: 4ft
height: 8ft
[tex]A=\frac{hb}{2}[/tex]
[tex]A=\frac{(8ft)(4ft)}{2}[/tex]
[tex]A=\frac{32ft^2}{2}[/tex]
[tex]A=16ft^2[/tex]
-------------------------------------------------------------
Add them:
[tex]80ft^2+16ft^2=96ft^2[/tex]
what is exponential decay
Answer:
Exponential decay is the decrease in a quantity according to the law. (1) for a parameter and constant (known as the decay constant), where is the exponential function and is the initial value.
Answer:
When a population or group of something is declining, and the amount that decreases is proportional to the size of the population, it's called exponential decay. In exponential decay, the total value decreases but the proportion that leaves remains constant over time.
Step-by-step explanation:
Describe the process for calculating the volume of a cylinder.
Answer:
the formulae for the volume of a cylinder= πr²h
so we then put the figures at their respective positions. and for the pie we put either 22/7 or 3.143 or 3.14
There is a unique positive real number x such that the three numbers
log82x, log4x and log2x, in that order, form a geometric progression with a positive common ratio.
The number x can be written as m/n, where m and n are relatively prime positive integers.
Find m+n.
Step-by-step explanation:
If the log82x, log4x and log2x, in that order, form a geometric progression with a positive common ratio.
Let a = log82x, b = log4x and c = log2x
If a = log8 2x; 8^a = 2x... (1)
If b = log4 x; 4^b = x ... (2)
If c = log2 x; 2^c = x...(3)
Since a, b c are in GP, then b/a = c/b
Cross multiplying:
b² = ac ...(4)
From eqn 1, x = 8^a/2
x = 2^3a/2
x = 2^(3a-1)
From eqn 2; x = 4^b
x = 2^2b
From eqn 3: x = 2^c
Equating all the values of x, we have;
2^(3a-1) = 2^2b = 2^c
3a-1 = 2b = c
3a-1 = c and 2b = c
a = c+1/3 and b = c/2
Substituting the value of a = c+1/3 and b = c/2 into equation 4 we have;
(c/2)² = c+1/3×c
c²/4 = c(c+1)/3
c/4 = c+1/3
Cross multiplying;
3c = 4(c+1)
3c = 4c+4
3c-4c = 4
-c = 4
c = -4
Substituting c = -4 into equation 3 to get the value of x we have;
2^c = x
2^-4 = x
x = 1/2^4
x = 1/16
Since the number x can be written as m/n, then x = 1/16 = m/n
This shows that m = 1, n = 16
m+n = 1+16
m+n = 17
The required answer is 17.
The value of m+n in which m and n are relatively prime positive integers is 17.
What is geometric sequence?Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.
There is a unique positive real number x such that the three numbers log82x, log4x and log2x, in that order, form a geometric progression with a positive common ratio. The progression is,
[tex]\log_82 x,\log_4x, \log_2x[/tex]
The above numbers are in geometric progression. Thus, the ratio of first two terms will be equal to the ratio of next two terms as,
[tex]\dfrac{\log_4x}{\log_82x}=\dfrac{\log_2x}{\log_4x}\\(\log_4x)^2={\log_2x}\times{\log_82x}\\[/tex]
Using the base rule of logarithmic function,
[tex]\left(\dfrac{\log x}{\log 4}\right)^2=\dfrac{\log x}{\log2}\times\dfrac{\log2x}{\log8}\\\left(\dfrac{\log x}{\log 2^2}\right)^2=\dfrac{\log x}{\log2}\times\dfrac{\log2x}{\log2^3}[/tex]
Using the Power rule of logarithmic function,
[tex]\left(\dfrac{\log x}{2\log 2}\right)^2=\dfrac{\log x}{\log2}\times\dfrac{\log2x}{3\log2}\\\dfrac{\log x}{4}=\dfrac{\log 2+\log x}{3}\\3\log x=4(\log2x)\\\log x^3=\log(2x)^4\\x^3=16x^4\\x=\dfrac{1}{16}[/tex]
The number x can be written as
[tex]\dfrac{m}{n}[/tex]
Here, m and n are relatively prime positive integers. Thus, the value of m+n is,
[tex]m+n=1+16=17[/tex]
Hence, the value of m+n in which m and n are relatively prime positive integers is 17.
Learn more about the geometric sequence here;
https://brainly.com/question/1509142
12 more than m machines
Answer:
m+12
Step-by-step explanation:
m+12
7. How many Cones will it take to fill a Cylinder with the same height and radius?
O 6 cones
O 3 cones
O 1 cone
O 2 cones
Answer:
3 cones
Step-by-step explanation:
This is why the formula for the volume of a cone is 1/3 (π×r^2)× h, while the volume for a cylinder is (π× r^2)× h, respectively.
Answer:
C) 3 Cones.
Explanation:
Hope this helps! :)
In the past twenty years, scientists have seen the sea level rise at a rate of approximately 0.13 inches per year. If this rate continues, which best represents the change in sea level over the next 27 months (2.25 years)?
Answer:
The change in the sea level will be by 0.2925 inches
Step-by-step explanation:
First of all , we will need to write out the rate at which the sea level is rising. This is 0.13 inches, per year. This means that every year, the sea level increases by 0.13 inches.
Since the sea level increases by 0.13 inches every year, in 2.25 years, to get the sea level, we will have to multiply the current rate at which it is rising by that duration of time.
This will be 2.25 years X 0.13 inches/ year = 0.2925 inches
Therefore, the change in the sea level will be by 0.2925 inches
Answer:
0.2925 inches
Step-by-step explanation:
Which best describes the transformation that occurs from
the graph of f(x) = x2 to g(x) = (x - 2)²+ 3?
Answer:
The graph changes from the original position to right 3 units and down 1 unit.
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
A hockey team has a 75% chance of winning against the opposing team in each game of a playoff series. To win the series, the team must be the first to win 4 games.
A) Design a simulation for this event,
B) what counts as a successful outcome?
C) Estimate the probability using your simulation.
Can anyone help me? I’m kind of confused on this problem
Answer:
C. Estimate the probability using your simulation.
Step-by-step explanation:
The areas of the squares adjacent to two sides of a right triangle are 32 units^2 and 32 units^2
Answer:
64 square units.Step-by-step explanation:
In this problem, we have to find the area of an square adjacent to the third side of the right triangle.
To solve this problem, we need to use Pythagorean's Theorem, beacuse it's about a right triangle. Also, this theorem is about square areas, that's the geomtrical meaning of it.
[tex]h^{2} =32 \ u^{2} + 32 \ u^{2} = 64\ u^{2} \\h=\sqrt{64 \ u^{2} } =8u[/tex]
Therefore, the area of a square adjacent to the third side is 64 square units.
Answer:the answer is 8
Step-by-step explanation:
What is the equation of the following line? Be sure to scroll down first to see all answer options.
A. y = 3x
B. y = x
C. y = 2x
D. y = -1/3x
E. y = -3x
F. y = 1/3x
I don’t understand this question. Can anyone help? I need answers ASAP. Thanks for all the help
There's some unknown (but derivable) system of equations being modeled by the two lines in the given graph. (But we don't care what equations make up these lines.)
There's no solution to this particular system because the two lines are parallel.
How do we know they're parallel? Parallel lines have the same slope, and we can easily calculate the slope of these lines.
The line on the left passes through the points (-1, 0) and (0, -2), so it has slope
(-2 - 0)/(0 - (-1)) = -2/1 = -2
The line on the right passes through (0, 2) and (1, 0), so its slope is
(0 - 2)/(1 - 0) = -2/1 = -2
The slopes are equal, so the lines are parallel.
Why does this mean there is no solution? Graphically, a solution to the system is represented by an intersection of the lines. Parallel lines never intersect, so there is no solution.
how many solutions to x^2 =-16
Answer:
no real solutions
Step-by-step explanation:
5(2k-3)+17 helppppppppp i need it simplified
Answer:
2(5k + 1)
Step-by-step explanation:
5(2k - 3) + 17 =
10k - 15 + 17
10k + 17 - 15
10k + 2
2(5k + 1)
I'll give Brainliest!!!
What is 5 1/2 divided by 5 1/3 equal?
What is the most common number that will appear when you roll a 2 dice?
Answer:
7 is the most common roll with two six-s
( I hope this helped <3 )
Answer:
7/8
Step-by-step explanation:
I think the most common are 7/8.
Question is on picture
Answer:
the answer is A
Step-by-step explanation:
how many days are in a year. ALSO ANSWER MY OTHER MATH QUESTION PLEASE!
Answer:
365 1/4 days
Also I haven't seen your other question
Answer:
365, 366 every 4 years. 366 on 2020, 2024, 2028, 2032, 2036, 2040 and so on
Given the fractions 8/15 and 18/35, find the largest number that these fractions can be divided by, so that the quotient will be a whole number.
Answer:
Therefore the largest number that these fractions can be divided by to give them a whole number is
a) 8/15 = The largest number is 8/15
b) 18/35 = The largest number is 18/35
Step-by-step explanation:
A quotient is the result obtained by dividing two numbers.
So that the quotient obtained is a whole number we have to find out, what number they can be divided by to give them that.
Let's assume the whole number is 1
a. 8/15
8/15 ÷ x = 1
8/15 × 1/x = 1
8/15x = 1
We would cross multiply
8 = 15x
We would divide both sides by 15
8/ 15 = x
Hence the largest number that would divide 8/15 and give it a whole number = 8/15
b) 18/35
18/35÷ x = 1
18/35 × 1/x = 1
18/35x = 1
We would cross multiply
18 = 35x
We would divide both sides by 35
18/ 315 = x
Hence the largest number that would divide 18/35 and give it a whole number = 18/35
Answer:
The answer is 2/105
Step-by-step explanation:
first we have to find the LCM of both denominators. IN this case, the LCM of 15 and 35 is 105. Then we have to find the GCF of these numerators. IN this case, the GCF of 8 and 18 is 2.
Now, put the GCF you found over the LCM.
ANSWER: 2/105
This fraction is the largest number you can divide both numbers by to get a whole number.
hi!! <3 i attached a picture of a easy trigonometry question can you please help if you don’t mind <33
Answer:
Side AB has a length of 4, and side BC has a length of 11.7
Natalie is out for a run. She decides to run a park in town. The length of sides of the park are 15 feet, 1o feet, 12 feet and 14 feet. How many feet will natalie run?
Answer:
51 feet
Step-by-step explanation:
To find how many feet will Natalie run, we just need to sum the four sides of the park that she will run:
Total distance = 15 + 10 + 12 + 14 = 51 feet
So if Natalie runs the sides of the park, she will run a total of 51 feet.
This value is also the perimeter of the park, that is, the sum of all 4 sides of the park.
I cant fail please help
Let m=x^2-5m=x 2 −5m, equals, x, squared, minus, 5. Which equation is equivalent to (x^2-5)^2-3x^2+15=-2(x 2 −5) 2 −3x 2 +15=−2left parenthesis, x, squared, minus, 5, right parenthesis, squared, minus, 3, x, squared, plus, 15, equals, minus, 2 in terms of m ?
Answer:
[tex]m^2-3m=-2[/tex][tex]m^2-3m+2=0[/tex]Step-by-step explanation:
Let [tex]m=x^2-5[/tex]
We want to express the equation [tex](x^2-5)^2-3x^2+15=-2[/tex] in terms of m.
Given: [tex](x^2-5)^2-3x^2+15=-2[/tex]
Factorizing the third and fourth term, we obtain:
[tex](x^2-5)^2-3(x^2-5)=-2[/tex]
Substituting [tex]m=x^2-5[/tex], the above equation becomes:
[tex]m^2-3m=-2[/tex]
Since the options are not given, the equivalent equation is:
[tex]m^2-3m=-2[/tex]
It could also be written in a rearranged form as:
[tex]m^2-3m+2=0[/tex]
Researchers once surveyed students on which superpower they would most like to have. The following two-way table displays data for the sample of students who responded to the survey.
What percent of students in the sample were male?
Round your answer to the nearest percent.
Answer:
14/50 or 28%
Step-by-step explanation:
THERE ARE 14 MALES WHO CHOSE INVISIBILITY AND 50 MALES IN TOTAL.
EZPZ
Solve the equation for x, and enter your answer below.
10x - 15x + 5= -45 + 40
Answer: x = 2
Step-by-step explanation:
[tex]10x - 15x + 5= -45 + 40[/tex]
subtract 5
[tex]10x - 15x= -45 + 40-5[/tex]
Combine like terms;
[tex]-5x=-10[/tex]
Divide by -5
[tex]x=\frac{-10}{-5}\\ x=2[/tex]
Answer:
[tex]x = 2[/tex]
Step-by-step explanation:
[tex]10x - 15x + 5 = - 45 + 40 \\ 10x - 15x = - 5 - 45 + 40 \\ - 5x = - 10 \\ \frac{ - 5x}{ - 5} = \frac{ - 10}{ - 5} \\ x = 2[/tex]
volume of cone with radius of 6 and heights of 8
Hey there! I'm happy to help!
To find the volume of a cone, you multiply the base by the height and then divide by three.
The base of a cone is a circle. To find the area of a circle, we square the radius and then multiply it by pi (we will use 3.14). Let's find the base below.
6²=36
36×3.14=113.04
Now, we multiply by the height.
113.04×8=904.32
Finally, we divide by three.
904.32÷3=301.44
Therefore, the volume of this cone is about 301.44 units cubed.
Now you can find the area of cones! I hope that this helps! Have a wonderful day!
Answer:
301.44
Step-by-step explanation:
