Answer:
x = 2.69 or x = -0.19
Step-by-step explanation:
Given:
2x² − 5x − 1 = 0
x = {-b ± √b² - 4ac} / 2a
a = 2
b = -5
c = -1
x = {-b ± √b² - 4ac} / 2a
= {-(-5) ± √(-5)² - 4(2)(-1)} / 2 * 2
= {5 ± √25 - (-8)} / 4
= {5 ± √25 + 8} / 4
= 5 ± √33 / 4
= 5 ± 5.75 /4
x = 5/4 + 5.75/4 or x = 5/4 - 5.75/4
x = 10.75/4 or x = -0.75/4
x = 2.69 or x = -0.19
The ratio of coloured papers to wight papers is 3:8.If there are 48 wight papers, how many coloured papers are there?
Answer: The total number of colored papers is 18.
Step-by-step explanation:
Given: The ratio of coloured papers to wight papers is 3:8.
Let total number of colored papers = 3x
and total number of wight papers = 8x
Since, there are 48 wight papers , then
[tex]8x=48[/tex]
[tex]\Rightarrow\ x=6[/tex]
Now , number of colored papers = 3(6)=18
Hence, the total number of colored papers is 18.
Logx-1(343)=3 solve for base x
Answer:
should be 8 !
Step-by-step explanation:
it just is
Cylinder math, help me
Answer:
A= 43.393 rounded
Step-by-step explanation:
A=2πrh
A= 2 [tex]\pi[/tex] 1.625 (4.25)
A= 13.8125[tex]\pi[/tex]
or
A= 43.393 rounded
find the volume of a cylinder with radius 5 and surface area 180pi
Answers : either 200pi or 325pi help !
Answer:
The volume of a cylinder is 325π.
Step-by-step explanation:
The volume of a cylinder is given by:
[tex]V = \pi r^{2}h[/tex]
Where:
h: is the height
r: is the radius = 5
We can find "h" from the surface area of the cylinder:
[tex]SA = 2\pi rh + 2\pi r^{2} = 180\pi[/tex]
[tex] h = \frac{180\pi - 2\pi r^{2}}{2\pi r} = \frac{180\pi - 2\pi (5)^{2}}{2\pi*5} = 13 [/tex]
Hence, the volume is:
[tex]V = \pi r^{2}h = \pi*(5)^{2}*13 = 325 \pi[/tex]
Therefore, the volume of a cylinder is 325π.
I hope it helps you!
help, the question is on the image
[tex]p = \frac{2 -3g}{g + 4} [/tex]
Refer to the attachment for step by step explaination.
Have a nice day!!
Answer:
[tex]p = \frac{2 - 3g}{(g + 4)} [/tex]
Step-by-step explanation:
[tex]g = \frac{2 - 4p}{3 + p} \\ g(3 + p) = 2 - 4p \\ 3g + pg = 2 - 4p \\ pg + 4p = 2 - 3g \\ p(g + 4) = 2 - 3g \\ \frac{p(g + 4)}{(g + 4)} = \frac{2 - 3g}{(g + 4)} \\ p = \frac{2 - 3g}{(g + 4)} [/tex]
Helpppppppppppp..!!!!!’nnnnmmmm
Step-by-step explanation:
heyYYYYYYYY I HAVE AGREAT APP FOE U. it's called algebrator use that and it'll help ya
Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair relating number of gallons of gas, x, to the total cost of the gas, y, includes the greatest amount of gas Berto can buy?
(__,__ )
Answer:
If gas costs $3.75 per gallon and Berto has $12, then he can purchase 12/3.75 gallons. This is approximately 3.2 gallons. So the coordinate on this line would be (3.2, 12).
Actually... It's from web
convert: 1 hour to seconds
1 min = 60 seconds
1 hour = 60 mins = 60 x 60 = 3600 seconds .
Helppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
4.4
Step-by-step explanation:
that is the procedure above
work out the m and c for the line: y=x-7
Answer:
Step-by-step explanation:
Compare the given y = x - 7 to the general slope-intercept formula
y = mx + b
Here the slope is 1 and the y-intercept, b, is -7.
Answer:
Step-by-step explanation:
Slope - y intercept form : y = mx +c
y = x - 7
m = 1
c = -7
A castle guard is standing on the opposite side of an 8-foot moat and wants to reach a window that is 15 feet above the ground. The guard
props a ladder against the castle wall to form a right triangle as shown. Approximate the length of the ladder needed to reach the window to
the nearest tenth of a foot.
Using the Pythagorean Theorem, it is found that the length of the ladder needed to reach the window is given by:
a. 17.0 ft.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
In this problem, the length of the ladder in feet is the hypotenuse, considering legs [tex]l_1 = 8, l_2 = 15[/tex].
Hence:
[tex]h^2 = 8^2 + 15^2[/tex]
[tex]h = \sqrt{8^2 + 15^2}[/tex]
h = 17.0 ft.
More can be learned about the Pythagorean Theorem at https://brainly.com/question/26396675
#SPJ2
x is a positive integer and 15x - 43 < 5x + 2. Work out the possible values of x.
Answer:
x = 1, 2, 3, 4
Step-by-step explanation:
15x - 43 < 5x + 2
15x - 5x - 43 < 2
15x - 5x < 2 + 43
10x < 45
x < 4.5
x = 1, 2, 3, 4
The required value of the x in the given inequality is x < 4.5.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
here,
Given expression,
15x - 43 < 5x + 2
Adding 43 on both sides,
15x < 5x + 45
Subtract 5x from both sides,
10x < 45
Divide the inequality by 10
x < 4.5
Thus, the required value of the x in the given inequality is x < 4.5.
Learn more about inequality here:
brainly.com/question/14098842
#SPJ2
Can someone please help me solve this
20 points to the person who can help me solve
Answer:
7/15
Step-by-step explanation:
P(appetizers with cheese) = number with cheese / total = 1/5
P(entrees with cheese) = number with cheese / total = 1/3
It is the P(a) + P(b) - P(a and b)
We cannot double count the cheese and cheese event)
P( cheese and cheese) = 1/3 * 1/5 = 1/15
1/5 + 1/3 - 1/15
3/15 + 5/15 -1/15
8/15 - 1/15
7/15
If f(x)= 2x^5-3x^3+2x^2+1, then f(1)=?
A. -1
B. 0
C. 1
D. 2
E. 4
Answer:
2
Step-by-step explanation:
f(x)= 2x^5-3x^3+2x^2+1
Let x=1
f(1)= 2(1)^5-3(1)^3+2(1)^2+1
= 2*1 -3*1+2(1) +1
= 2-3+2+1
2
[tex] \tt{if \: \: f(x) = 2 {x}^{5} - 3{x}^{3} + 2 {x}^{2} + 1 \: \: then \: \: f(1) = ?}[/tex]
Let's try![tex]\quad \quad \quad \quad \tt{f(x) = 2 {x}^{5} - 3 {x}^{3} + 2 {x}^{2} + 1}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 {(1)}^{5} - 3 {(1)}^{3} + 2 {(1)}^{2} + 1}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 (1) - 3 (1) + 2 (1) + 1}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 - 3 + 2 + 1}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 - 3 +3}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 \: \: \cancel{ \color{red}- 3 +3}}[/tex]
[tex]\quad \quad \quad \quad \tt{f(x) = 2 }[/tex]
Hence, The answer is:[tex]\quad \quad \quad \quad \huge\boxed{\tt{ \color{green}f(x) = 2 }}[/tex]________
#LetsStudy
if a:b=1:3 and b:c=5:8 what's a:c
need steps pls
Answer:
a:c=1:8
Step-by-step explanation:
a:b=1:3
therefore a=1 and b=3
b:c=5:8
therefore b=5 and c=8
then,
a:c=1:8
Answer:
a : c = 5 : 24
Step-by-step explanation:
[tex]a : b = 1 : 3\\\\\frac{a}{b} = \frac{1}{3} \ => b = 3a\\\\b : c = 5 : 8 \\\\ \frac{b}{c} = \frac{5}{8} \ => \ \frac{3a}{c} = \frac{5}{8}[/tex] [tex][substituting \ b = 3a ][/tex]
[tex]\frac{a}{c} = \frac{5}{24}[/tex]
[tex]=> a : c = 5 : 24[/tex]
Today,high tide measured 5.5 ft and low tide measured 1 ft. What is the amplitude of a cosine function modeling the depth of the water in feet as a function of time in hours
Answer:
[tex]A = 2.25ft[/tex]
Step-by-step explanation:
Given
[tex]High = 5.5ft[/tex]
[tex]Low = 1ft[/tex]
Required
The amplitude (A)
This is calculated as:
[tex]A = \frac{1}{2}(High - Low)[/tex]
So, we have:
[tex]A = \frac{1}{2}(5.5ft - 1ft)[/tex]
[tex]A = \frac{1}{2} * 4.5ft[/tex]
[tex]A = 2.25ft[/tex]
The slope of line j is 2 and j || K. What is the slope of line k?
Which is NOT a proposition
A. Marlon is eating his lunch
B. Will you be at school tomorrow.
C. The earth is rectangular
D. 10 + 5 = 15
Answer:the answer is b
Step-by-step explanation:reason being that the question will you be at school tmrw?cat be given a choice to say wether it’s true or false so Yh...I don’t know if that helped
A penny is dropped from a point on a bridge 94 feet above the surface of the river. If the penny travels 250 feet straight down before it lands at the bottom of the river, find the depth of the river where the penny landed.
please provide with the strategies please!!
Answer:
156 ft
Step-by-step explanation:
the depth of the river =
250-94 = 156 ft
Question and choices are in the photo please explain the answer
Step-by-step explanation:
but sorry i can't get the answer of (2x-1) =3 (x+5) because the answer of this came -16
Find the solution of y = 6x + 1 for x = 5
Answer:
y equals to 31
Step-by-step explanation:
6(5) = 30
30+1 = 31
Triangle ABC is similar to triangle FGH.
What is the value of x in centimeters?
Answer:
pythagorean theorem
18
Step-by-step explanation:
If the equation 2x2+bx+5=0 has no real solutions, which of the following must be true?
Answer:
There are no choices but in order to qudratic equation not to have real roots the discriminant must be negative.
d = b² - 2*2*5 = b² - 20If d < 0, we get:
b² - 20 < 0b² < 20b < |√20|- √20 < b < √20or
-2√5 < b < 2√5or
b = (-2√5, 2√5)Can someone please help me with this question
Answer:
If x is the one vertically opposite to 40, then x will be 40, due to vertically opposite angles.
please help!!
find x
Answer:
since the square indicates the angle is a right angle ( 90 ° )
then x = 90 - 32
x = 58 °
15 cm
10 cm
o
10 cm
Diagram NOT accurately drawn
The diagram shows a sector of a circle, centre 0, radius 10 cm.
The arc length of the sector is 15 cm.
Calculate the area of the sector.
Answer:
221cm squre
Step-by-step explanation:
Kevin is doing a puzzle. He has completed 89/100 of the puzzle. Which decimal represents how much of the puzzle Kevin has left to do?
Answer:
100-89/100=11/100
=0.11
Please help me. Study island is hard
Answer: 5/12
Step-by-step explanation:
13-7 = 5
16-4 = 12
Please Help. It would be very helpful to me
Answer:
A) 2 inches
Step-by-step explanation:
PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!!
Answer:
x=7.8
Step-by-step explanation:
take 49 degree as reference angle
using cos rule
cos 49=adjacent/hypotenuse
0.65=x/12
0.65*12=x
7.8=x
Answer:
x=7.8
Step-by-step explanation:
Step-by-step explanation:
take 49 degree as reference angle
using cos rule
cos 49=adjacent/hypotenuse
0.65=x/12
0.65*12=x
7.8=x
