Answer:
The solution to the equation are [tex]5+\frac{\sqrt{42} }{2\\} \ and \ 5-\frac{\sqrt{42} }{2\\}\\[/tex]
Both of his values are positive real numbers
Step-by-step explanation:
The general formula of a quadratic equation is expressed as [tex]ax^{2}+bx+c = 0\ where;\\x = -b\±\frac{\sqrt{b^{2}-4ac } }{2a}[/tex]
Given the expression 0 = x² – 5x – 4 which can be rewritten as shown below;
x² – 5x – 4 = 0
Comparing this to the general equation; a = 1, b = -5, c= -4
To get the solution to the quadratic equation, we will use the general formula above;
[tex]x = -b\±\frac{\sqrt{b^{2}-4ac } }{2a}\\x = -(-5)\±\frac{\sqrt{(-5)^{2}-4(1)(-4) } }{2(1)}\\\\x = 5\±\frac{\sqrt{25+16 } }{2}\\x =5\±\frac{\sqrt{41} }{2}\\x = 5+\frac{\sqrt{42} }{2}\ and \ 5-\sqrt{42} /2\\[/tex]
Both of his values are positive real numbers
Answer: D.–0.7
Step-by-step explanation: hope this helps :)
Use the given information below to find the first 6 terms of a sequence. *
Captionless Image
1. -7, -19, -43, -91, -187, -379,...
2. -1, -7, -19, -43, -91, -187,...
3. -1, -6, -11, -16, -21,...
4, -6, -11, -16, -21, -26,...
Answer:
2. -1, -7, -19, -43, -91, -187,...
Step-by-step explanation:
[tex] \purple{ \bold{a_1 = - 1}}...(given) \\ a_n = 2a_{n - 1} - 5 \\ a_2 = 2a_{1} - 5 = 2( - 1) - 5 = - 2 - 5 = \\ \purple{ \bold{a_2 = - 7}} \\ \\ a_3 = 2a_{2} - 5 = 2( - 7) - 5 = - 14 - 5 \\ \purple{ \bold{a_3 = - 19}} \\ \\ a_4 = 2a_{3} - 5 = 2( - 19) - 5 = - 38 - 5 \\ \purple{ \bold{a_4 = - 43}}\\ \\ a_5 = 2a_{4} - 5 = 2( - 43) - 5 = - 86 - 5 \\ \purple{ \bold{ a_5 = - 91}}\\ \\ a_6 = 2a_{5} - 5 = 2( - 91) - 5 = - 182- 5 \\ \purple{ \bold{a_6 = - 187}}\\ [/tex]
Hence, first six terms of the given sequence are -1, -7, -19, -43, -91, -187,...
Which of the following measures of variability can be used to compare two data sets?
Answer:
I think they are the range, the interquartile range. Tell me if if wrong!
Step-by-step explanation:
what is the slope of the line below? If necessary, enter your answer as a fraction in lowest terms, using the slash as the fraction bar. Do not enter your answer as a decimal number or an equation. (3, 9) (-4, 2)
The answer that I got was 7/7
Answer:
The slope of the line is 1
Step-by-step explanation:
the formula for slope is y2-y1 / x2-x1. The point (-4,2) could be labeled as x1 and y1, where x1 is -4 and y1 is 2 and the point (3,9) could be labeled as x2 and y2, where x2 is 3 and y2 is 9. So then the equation would be set up as the following: 9-2 / 3--4. Simplified, the equation equals 1, because when you subtract it comes out as 7/7.
Hope this helps :)
what’s the sum of 0.25 and 0.6
the answer is 0.85
because 25 plus 60
is 85
??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????
Answer:
39 homes
Step-by-step explanation:
The fraction of homes is 13/20
We are checking 60 homes
13/20 * 60 = 39
39 homes
How do you find the mean of a data set ?
Step-by-step explanation:
You have to add up all the data values and then divide it by how many numbers there are. For example:
1,2,3,4,5,6,7
1+2+3+4+5+6+7= 28
There are 7 numbers, so 28/7 equals 4
Mean= 4
HELPPP URGENT URGENT HELP PLEASE!
in the diagram below what is the objects surface area?
if you answer this not only you will get hella points you will be considered SUPERIOR and a GOD OF BRAINLY
Answer:
Surface Area = 4928 ft^2
Step-by-step explanation:
Easy way -
First find the area of each face i.e.
56 * 20 = 1120
65 * 20 = 1300
33 * 20 = 660
2 * (1/2 * 56 * 33) = 1848
Total = 4928 ft^2
Two student fill the fish tank with.The fish hold 4gallon of water the-students each has a measuring cup.How many times do the student need to fill the one cup measured To get 4gallon?
Need help with this question anybody there
Answer:
Read below
Step-by-step explanation:
I don't know your teacher's name but I know the answer to the other question.
Each additional mile will take a longer time of 2 minutes. Because the miles increase, the time would increase. If you think about it and you work as a pizza deliverer, the time should increase if the number of miles also increases. It's not magic.
PLEASE HELP!! The cost for parking in the local covered parking lot is calculated by ƒ(h) = 4.5 + 1.5⌈(h - 1)⌉ where h is the number of hours you parked. What is the cost for parking in the garage for 75 minutes?
Answer:
The cost of parking in the garage for 75 minutes is 4.875.
Step-by-step explanation:
The costs of parking h hours is given by the following function:
[tex]f(h) = 4.5 + 1.5(h-1)[/tex]
Cost of parking 75 minutes.
1 hour is 60 minutes. How many hours are 75 minutes?
1h - 60 min
xh - 75 min
[tex]60x = 75[/tex]
[tex]x = \frac{75}{60}[/tex]
[tex]x = 1.25[/tex]
75 minutes is 1.25 hours. So we have to find f(1.25).
[tex]f(1.25) = 4.5 + 1.5*(1.25-1) = 4.875[/tex]
The cost of parking in the garage for 75 minutes is 4.875.
1).He gastado 5/8 de mi dinero. Si en lugar de gastar los 5/8 hubiera gastado los 2/5 de mi dinero, tendria ahora 72 soles mas de lo que tengo¿cuanto NO gaste? 2). Si al año que cumpli 10 años le sumamos el año que cumpli 20 , y a este resultado le restas la suma del año en que naci con mi edad actual , obtendremos el año actual ¿cuanto resultara sumar mi edad con el año en que cumplire los 30 años y restarle el año en que cumplire los 40 años? AYUDA CON PROCEDIMIENTO PARA ESTOS DOS EJERCICIOS POR FAVOR
Answer:
1. The amount that was not spent is: 1080 soles
2. The answer is 5.
Step-by-step explanation:
Question 1. There are two situations:
If you spent 5/8 of the money then notice, that u did not spend 3/8.
If you spend 2/5 of the money, then you would have 72 more.
So think, this equation:
3/8x + 72 = 2/5x
2/5 of the money is the value for what you did not spend plus 72, the amount you would have, where x is the answer for the total of money.
72 = 2/5x - 3/8x
72 = 1/40x
x = 2880 soles
As you did not spend 3/8 of 2880, the answer is 1080 soles
Notice that if u spent 2/5 of 2880, you would have 1152 soles, so, the 1080 + 72, as the problem said.
Question 2.
We think letters for this excersise.
N = My born year
2020 (this year) - N = E (my age, now)
So N + 10 = when I get 10 years old
N + 20 = when I get 20 years old
N + 30 = when I get 30 years old
N + 40 = when I get 40 years old
The problem says:
(N+10) + (N+20) - (N+E) = 2020
((N+30)+E) - (N-40) = X
So if 2020 - N = E, then notice that 2020 - E = N. Let's replace this in the equation form:
((2020-E)+10) + ((2020-E)+20) - ((2020-E)+E) = 2020
No minus in the first two terms, so we can break the ( )
2020-E+10 + 2020-E+20 - ((2020-E)+E) = 2020
We apply the distributive property for the second term
2020-E+10 + 2020-E+20 - 2020+E-E = 2020
We can cancel two E, and the 2020, so the new form will be:
2020 - 2E + 30 = 2020
We can also cancel the 2020, so if we reorder the equation, we have:
-2E = -30
E = 15 That's my age, so my born's year is 2020 - 15 = 2005 (N)
Look:
(2005 + 10) + (2005+20) - (2005+15) = 2020
So now, the last part
((2005+30)+15) - (2005+40) = 5
Find the volume of a right circular cone that has a height of 9.6m and a base with a diameter of 2.9m. Round your answer to the nearest tenth of a cubic meter.
Answer:
[tex] r = \frac{D}{2}= \frac{2.9m}{2}= 1.45 m[/tex]
If we convert the height to meters like this:
[tex] h = 9.6 cm *\frac{1m}{100 cm}= 0.096m[/tex]
And we want to find the volume of the cone and is given by:
[tex] V = \pi r^2 h[/tex]
And replacing we got:
[tex] V = \pi (1.45m)^2 (0.096m) =0.634 m^3 \approx 0.6 m^3[/tex]
Step-by-step explanation:
For this case we have a right circular cone with a height of 9.6cm and a base with a diameter of 2.9m. We can find the radius like this:
[tex] r = \frac{D}{2}= \frac{2.9m}{2}= 1.45 m[/tex]
If we convert the height to meters like this:
[tex] h = 9.6 cm *\frac{1m}{100 cm}= 0.096m[/tex]
And we want to find the volume of the cone and is given by:
[tex] V = \pi r^2 h[/tex]
And replacing we got:
[tex] V = \pi (1.45m)^2 (0.096m) =0.634 m^3 \approx 0.6 m^3[/tex]
Factor x²−16 completely, SHOW STEPS PLEASE
Answer: (x +4)(x - 4)
Step-by-step explanation: Since x² - 16 represents the difference of two squares, it can be factored as the product of two binomials, one that has a plus in it and one that has a minus in it.
The first position in each binomial is filled by
the factors of x² that are the same, x times x.
The second position in each binomial is filled
by the factors of 16 that are the same, 4 times 4.
The answer therefore is (x + 4)(x - 4).
Four students do not come to school one day. This is of 1/6 the total number of students in the class. How many total students are there in the class?
Answer:
There are 24 students in the class.
Step-by-step explanation:
If four students are 1/6 of the class, you need to multiply 4 times 6 to get 24.
tan(-20°) = _____. -tan 20° tan 20° tan (-160°) -tan 160°
Answer:
-tan 20
Step-by-step explanation:
They have the same answer when typed in a calculator
−36+x<8?
Need help fast :p
Answer:
download my math scanner it's the only math app I know actually works
Can anyone help with this math problem ?
The circumference of a circle with a radius of 2 meters is approximate by the perimeter of an inscribed polygon with 10 sides. Which expression gives the described approximation of the circumference?
Answer: The correct answer is A
Step-by-step explanation:
Y = 3x -1 Y = 2x + 3
Answer:
x = 4
y = 11
Step-by-step explanation:
You can make the equations 3x - 1 = 2x + 3
x = 4
y = 11
mark has a friend named Chole how different are marks and chole DNA ?
Answer:
xx vrs. xy chromosomes in their genetics
A fair die is thrown. What is the probability that the score is not a factor of 6?
0000
5/6
1/6
2/3
1/2
Answer:
[tex]\frac{1}{3}[/tex] chance.
Step-by-step explanation:
The only factors of 6 on a die is 1, 2, 3, and 6
The chance of getting 4 or 5 (not factors of 6) is [tex]\frac{2}{6} =\frac{1}{3}[/tex] chance.
(None of the options you gave is correct)
The probability of getting numbers which is not a factor of 6.
[tex]P(E)=\frac{2}{6}=\frac{1}{3}[/tex]
To understand more, check below explanation.
Probability :The numbers on die which is factors of 6 is,
1,2,3,6
So that, numbers on die which is not factor of 6 is, 4 and 5.
We have to find probability that the score is not a factor of 6.
Total number of favorable outcomes = 2
Total outcomes = 6
Probability that the score is not a factor of 6,
[tex]P(E)=\frac{2}{6}=\frac{1}{3}[/tex]
Learn more about the probability here:
https://brainly.com/question/24756209
2 Points
What is the surface area of the cube below?
A. 96 units2
B. 64 units2
C. 80 units2
D. 120 units2
Answer:
A
Step-by-step explanation:
The cube has 6 surfaces with side lengths 4 by 4. Each of the faces has area 4*4=16 units, and multiplying this by 6 yields 96 units, or answer choice A. Hope this helps!
The surface area of the given cube is 96 square units, option A is correct.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The formula to find the surface area of cube is 6s²
Where s is the side length of cube
s=4 from the given cube
Plug in the value of s in surface area formula
surface area = 6(4)²
=6×16
=96 square units
Hence, the surface area of the given cube is 96 square units, option A is correct.
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ5
I just need some help with my pre-alg :)
Answer:
C
Step-by-step explanation:
Look at the attachment
Do not do Number 3 or 2!Please help! I need them in complete sentences! I will award Brainliest and answer any questions you have just please help.
Answer:
2) Only solar because u are near the moon lool
3) i think the same
1-4)There is, however, one side of the moon that never faces Earth head-on. The moon completes a full, 360-degree orbit around our planet every 27.32 days . That's about as long as it takes the moon to finish a single rotation on its own axis. Taken together, those two factors explain why only one side of the moon is ever oriented toward us and about 41 percent of the lunar surface is never visible to Earth-bound stargazer.
Eevery lunar day lasts for 29.5 Earth day
How many solutions does this equation have –3(4x – 16) = 12(24x + 60)
Answer:
This equation has one solution, and it's at (-2.24,0)
Step-by-step explanation:
When graphed, it results in a vertical line that crosses the x-axis at -2.24. Hope this helps =)
The table below shows the numbers of students at 4 middle schools.
Middle school
Number of students
DuBois
Lakeside
Polk
D D
Woodbridge
Each n equals 100 students.
(a) How many students are at Woodbridge Middle School?
(b) How many more students are at Polk Middle School than at DuBois Middle School?
Answer:
(a) 300
(b)100
Step-by-step explanation:
(a) each figure is 100 student and there are 3 figures at Woodbridge so it's 3*100=300
(b) DuBois=3*100=300
Polk=4*100=400
400-300=100
Mr. Tuyen uses 3 4 of a tank of gas each week to drive to and from his job. How many tanks of gas does Mr. Tuyen use in 3 weeks? Enter your answer as a fraction and as a mixed number.
Answer:
[tex]\frac{9}{4}[/tex] or [tex]2\frac{1}{4}[/tex]
Step-by-step explanation:
If Mr. Tuyen used 3/4 of a tank in a week, then in three weeks, he would use that same amount times three.
So: [tex]\frac{3}{4}[/tex] x 3 = [tex]\frac{9}{4}[/tex]
Hope this helps :)
Can you please help with think im pointing on please is so hard i will give you a Brainiest
Answer:
40
Step-by-step explanation:
You need to take 30%of 40 to figure it out.
Hope this helps.
A 16-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 8 feet from the base of the building. How high up the wall does the ladder reach?
Answer:
it reaches 24 ft
Step-by-step explanation:
16 + 8 ft = 24 ft
you would add the 16 to the 8 feet from the base to get 24
Maris put trim around a mirror that is the shape of a square. Each side is 24 inches long. Maria has 1 foot of trim left. What was the length of the trim when she started? Write your answer in yards
Answer:
16.028 yards
Step-by-step explanation:
1 inch=0.0833333 foot
24 inches=0.0833333×24
=1.9999992 foot
The mirror is square shaped and each side is 24 inches
If each 24 inches=1.9999992 foot
Then,
4 sides of 24 inches=1.9999992×24
=47.9999808 foot
Maria has 1 foot of trim left
Total Length of trim when she started=47.9999808+0.0833333
=48.0833141 foot
=16.02777136667 yards
Approximately,
16.028 yards
