Answer:
x1= -4, x2 = 7
Step-by-step explanation:
Move expression to the left-hand side:
1/4x-3/4-7/x=0
Write all the numerators above a common denominator:
x^2 - 3x - 28 /4x =0
When the quotient of expressions equal 0, the numerator has to be 0
x^2 + 4x - 7x - 28 = 0
x(x+4) - 7(x+4) =0
(x+4) × (x-7) =0
Separate into possible cases:
x+4=0
x-7=0
Answer: -9
Step-by-step explanation:
The radius of a conical tent is 5.6 m and the slant height is 12 m. Then the length of canvas required
to make the tent, if the width of canvas is 4 m.
a) 106.6 m
b) 100 m
c) 52.8 m
d) 105.6m
who will answer it first I mark them as the brainlist
Answer:
c) 52.8 m
Step-by-step explanation:
The radius of a conical tent, r = 5.6 m
The slant height = 12 m.
The area of the canvas required to make the tent is equal to the lateral area of the cone.
[tex]\text{Lateral Area of a Cone}= \pi r l\\=\pi \times 5.6 \times 12\\=67.2\pi$ m^2[/tex]
Since the width of the canvas = 4 m
Let the length = l
Area of the canvas = 4l
[tex]4l=67.2\pi$ m^2\\l=67.2\pi \div 4\\l=52.8 m$ (correct to 1 decimal place)[/tex]
The length of the canvas required to make the tent is 52.8m.
Find the missing side of a triangle when one side is 3.16 and the other is 3
Answer:
0.992774 ≅ .993
Step-by-step explanation:
a²+b²=c²
a=x
b=3
c=3.16
x²+3²=3.16²
x²+9=9.9856
x²=.9856
x=0.992774
x≅0.993
The lowest temperature ever
recorded on earth was -89°C
in Antarctica. The average
temperature on Mars is about
-55°C. Which is warmer?
Write an inequality to support
your answer
Answer:
Mars
Step-by-step explanation:
America
Solve the formula for the perimeter of a rectangle, with width w and length I,
for the length.
P= 2W + 2/
Answer:
( P -2w) /2 = l
Step-by-step explanation:
P= 2W + 2l
Subtract 2W from each side
P= 2W -2W + 2l
P -2W = 2l
Divide by 2
( P -2w) /2 = l
Answer:
A. [tex]\frac{P - 2w}{2} = l[/tex]
Step-by-step explanation:
Well in,
P = 2w + 2l
to solve for l we need to single it out.
P = 2w + 2l
-2w
P - 2w = 2l
divide everything by 2
[tex]\frac{P - 2w}{2} = l[/tex]
Thus,
the answer is A.
Hope this helps :)
Forty percent of all undergraduates at a university are chemistry majors. In a random sample of six students, find the probability that exactly two are chemistry majors. 12. The probability that exactly two are chemistry majors is Type an integer or a decimal. Round to four decimal places as needed.)
Answer:
0.3110
Step-by-step explanation:
This is a binomial distribution with probability of success (being a chemistry major) p = 0.40.
The general formula for a binomial distribution is:
[tex]P(x=k)=\frac{n!}{(n-k)!k!}*p^k*(1-p)^{n-k}[/tex]
Where n is the sample size and k is the desired number of successes.
The probability of k=2 in a sample of n =6 is:
[tex]P(x=2)=\frac{6!}{(6-2)!2!}*0.4^2*(1-0.4)^{6-2} \\P(x=2)=\frac{6!}{(6-2)!2!}*0.4^2*(1-0.4)^{6-2}\\P(x=2)=3*5*0.4^2*0.6^4\\P(x=2)=0.3110[/tex]
The probability is 0.3110
Train passes the first 110 miles in 3 hours, and the next 240 miles at the rate of 60 mph. What was the average speed of the train for the entire trip?
Answer:
50 mph
Step-by-step explanation:
The total distance is 350 miles.
The total time is 3 hr + (240 mi / 60 mph) = 7 hr.
The average speed is 350 mi / 7 hr = 50 mph.
Which graph represents exponential decay? On a coordinate plane, a straight line has a negative slope. On a coordinate plane, a graph starts at (negative 2, 0) and curves up and to the right into quadrant 1. On a coordinate plane, a graph approaches y = 0 in quadrant 1 and curves up into quadrant 2. On a coordinate plane, a graph approaches y = 0 in quadrant 2 and curves up into quadrant 1.
Answer:
The correct option is (C).
Step-by-step explanation:
The exponential function representing decay is as follows:
[tex]y=y_{0}\cdot e^{kt};\ k<0[/tex]
Here,
y = final value
y₀ = initial value
k = growth rate
t = time passed
The graph represents exponential decay is:
"On a coordinate plane, a graph approaches y = 0 in quadrant 1 and curves up into quadrant 2."
Thus, the correct option is (C).
Answer:
The answer is C
Step-by-step explanation:
I just took the test on edge
helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
upper box is 0
middle box is 3 and
the downer box is 6
Step-by-step explanation:
Have a nice day
Plz help this is an evil question
Answer:
18.9 units of fencing
Step-by-step explanation:
First find the perimeter
P = 2(l+w)
P = 2( 2.5+1.28)
P = 2( 3.78)
P =7.56m
We need 2.5 units of fencing for each meter
Multiply by 2.5
7.56*2.5
18.9 units of fencing
Answer:
Julio needs to purchase 18.9 units of fencing.
Step-by-step explanation:
I meter of the perimeter accounts for 2.5 units of fencing. Respectively 2 meters account for 2 times as much, and 3 meters account for 3 times as much of 2.5 units. Therefore, if we determine the perimeter of this rectangular garden, then we can determine the units of fencing by multiplying by 2.5.
As you can see this is a 2.5 by 1.28 garden. The perimeter would be two times the supposed length, added to two times the width.
2.5 x 2 + 1.28 x 2 = 5 + 2.56 = 7.56 - this is the perimeter. The units of fencing should thus be 7.56 x 2.5 = 18.9 units, or option d.
Find the linear correlation coefficient using only the four points in the lower left corner (for women). Will the four points in the upper right corner (for men) have the same linear correlation coefficient? The correlation coefficient for the points in the lower left corner is requals nothing.
Answer:
Yes, because the four points in the upper right corner from the same pattern as the four points in the lower left corner.
Step-by-step explanation:
The correlation coefficient for the points in the lower left corner equals zero.
The four points in the upper right corner have the same correlation coefficient because the four points in the upper right corner from the same pattern as the four points in the lower left corner.
A painter takes hours to paint a wall. How many hours will the painter take to paint 8 walls if she works at the same rate?
Answer:
20.8 hours
Step-by-step explanation:
2 3/5 = 2.6.The painter will take (2.6 × 8) = 20.8 hours to paint a wall.
Hope this helps and pls mark as brianliest :)
Answer:
20.8, 20 4/5, and 104/5
Simplify negative 2 and 1 over 6 – negative 7 and 1 over 3. negative 5 and 1 over 6 negative 9 and 3 over 6 9 and 3 over 6 5 and 1 over 6 Question 12(Multiple Choice Worth 5 points)
Answer:
5 and 1 over 6
Step-by-step explanation:
Simplifying the given:
Negative 2 and 1 over 6 – negative 7 and 1 over 3 ⇒ translated as:- 2 1/6 - (-7 1/3) = ⇒ cancelling negatives and changing mixed fractions to improper fractions- 13/6 + 22/3 = ⇒ bringing to same denominator- 13/6 + 44/6 = ⇒ calculating the numerator31/6 = ⇒ making mixed fraction5 1/6 ⇒ answerCorrect choice is the last one: 5 and 1 over 6
5 and 1 over 6 .......................................
factorize completely (2x+2y) (x-y)+(2x-2y)(x+y)
Chuck has 6$ and he spends 1/5 of his money on candy
Answer:
He spends $1.20 Which means he has $4.80 remaining.
Step-by-step explanation:
1/5 of 6 is 6/1 multiplied by 1/5 and that is 6/5 or 1 1/5
1/5 of a dollar is 20 cents. he has $1.20
6-1.20=4.80.
Answer:
[tex]4.80 => Answer[/tex]
Step-by-step explanation:
Use the information given.
1/5 of 6 is equal to 6/5
6/5 = 1.2
Now subtract.
[tex]6-1.2= 4.8[/tex]
So the answer is 4.80 or 4.8
Hope this helps! :)
By: ❤️BrainlyMagic❤️
Brainliest would be appreciated!
Find the surface area of a cylinder with radius 15.8 ft and height 4.4 ft. Use a
calculator. Round to the nearest tenth.
A. 1786.9 ft2
B. 1221.1 ft2
C. 3450.8 ft2
D. 2005.3 ft2
Hey there! I'm happy to help!
First, let's find the area of the two circles that make up the top and bottom of the cylinder. To find the area of a circle, you square the radius multiply it by pi (we will use 3.14)
15.8²=249.64
249.64×3.14=783.8696
Since there are two of these circles we multiply this by 2.
783.8696×2=1567.7392
Now, for the rectangle. To make a cylinder, you take a rectangle and wrap it around the top and bottom circles. One side of this rectangle is the height of the cylinder, and the other is the circumference of the circle (one side wraps all the way around the circle, which is the circumference).
The circumference is the diameter multiplied by 3.14 (pi). The diameter is twice the radius.
15.8×2=31.6
31.6×3.14=99.224
We multiply this by the height.
99.224×4.4=436.5856
Now, we add the areas of the circles and the rectangle.
1567.7392+436.5856=2004.3 (rounded to nearest tenth)
This is closest to D. 2005.3 ft². It is probably a bit off because I used 3.14 instead of actual pi.
Have a wonderful day! :D
What is the sum of a 54-term arithmetic sequence where the first term is 6 and the last term is 377? (1 point) 10,341 10,388 10,759 11,130
Answer:
10,341
Step-by-step explanation:
[tex]S_{n}=\frac{n}{2} (a_1}+a_{n})\\S_{54}=\frac{54}{2} (6+377)=27 \times 383=10,341[/tex]
Which system of equations represents the matrix shown below?
Answer:
c
Step-by-step explanation:
im not too sure
Which is the solution to this question 4X equals 32
Answer:
8
Step-by-step explanation:
you would just divide 32 by 4
4x = 32
x = 32/4
x=8
Answer:
[tex]\large\boxed{\sf \ \ \ x=8 \ \ \ }[/tex]
Step-by-step explanation:
Hello
4x=32 we can divide both parts by 4 so
[tex]\dfrac{4x}{4}=\dfrac{32}{4}\\\\<=> x = 8[/tex]
Hope this helps
Select the correct answer.
What are the x-intercepts of this function?
g(x) = -0.25x2 – 0.25x + 5
O
(-20,0) and (-4,0)
(4,0) and (20,0)
(5,0) and (-4,0)
(-5,0) and (4,0)
Answer:
[tex]\large \boxed{\sf \ \ (-5,0) \ and \ (4,0) \ \ }[/tex]
Step-by-step explanation:
Hello,
We need to find the zeroes of
[tex]-0.25x^2-0.25x+5=0\\\\\text{*** multiply by -4 ***} \\ \\x^2+x-20=0\\\\\text{*** the sum of the zeroes is -1 and the product -20=-5x4 ***}\\\\x^2+5x-4x-20=x(x+5)-4(x+5)=(x+5)(x-4)=0\\\\x=4 \ or \ x=-5[/tex]
and then g(4)=0 and g(-5)=0
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:(-5,0) (4,0)
I took the test hope it helps you (:
What are the solutions to the system of equations graphed attached pic
Answer: C
Step-by-step explanation:
For system of equations, the solution is the point or points where the equations intersect. The point they meet signifies that they are the same at the x and y point.
Looking at the graph, we see 2 intersection points. They are (0,-8) and (4,8). Therefore, C is the correct answer.
Find x and y, please solve with steps and leave answers in fraction form, THANK YOU
Answer:
Below
Step-by-step explanation:
Using the proprtionality relation:
● 8/10 =5/x
● (4*2)/(5*2) = 5/x
Simplify using 2
● 4/5 = 5/x
Multiply both sides by 5
● (4/5)*5 = (5/x)*5
● 4 = 25/x
Switch x and 4
● x= 25/4
■■■■■■■■■■■■■■■■■■■■■■■■■
Again use the proportionality relation but this time with y.
● 8/10 =7/y
8/10 = 4/5
● 4/5 = 7/y
Multiply both sides by 5
● (4/5)*5 =(7/y)*5
● 4 = 35/y
Switch 4 and y
● y = 35/4
Find the sum of the following infinite geometric series
Answer:
[tex]\large \boxed{\ \ \dfrac{63}{5} \ \ }[/tex]
Step-by-step explanation:
Hello,
"Find the sum of the following infinite geometric series"
infinite
We will have to find the limit of something when n tends to [tex]+\infty[/tex]
geometric series
This is a good clue, meaning that each term of the series follows a geometric sequence. Let's check that.
The sum is something like
[tex]\displaystyle \sum_{k=0}^{+\infty} a_k[/tex]
First of all, we need to find an expression for [tex]a_k[/tex]
First term is
[tex]a_0=7[/tex]
Second term is
[tex]a_1=\dfrac{4}{9}\cdot a_0=7*\boxed{\dfrac{4}{9}}=\dfrac{7*4}{9}=\dfrac{28}{9}[/tex]
Then
[tex]a_2=\dfrac{4}{9}\cdot a_1=\dfrac{28}{9}*\boxed{\dfrac{4}{9}}=\dfrac{28*4}{9*9}=\dfrac{112}{81}[/tex]
and...
[tex]a_3=\dfrac{4}{9}\cdot a_2=\dfrac{112}{81}*\boxed{\dfrac{4}{9}}=\dfrac{112*4}{9*81}=\dfrac{448}{729}[/tex]
Ok we are good, we can express any term for k integer
[tex]a_k=a_0\cdot (\dfrac{4}{9})^k[/tex]
So, for n positive integer
[tex]\displaystyle \sum_{k=0}^{n} a_k=\displaystyle \sum_{k=0}^{n} 7\cdot (\dfrac{4}{9})^k=7\cdot \dfrac{1-(\dfrac{4}{9})^{n+1}}{1-\dfrac{4}{9}}=\dfrac{7*9*[1-(\dfrac{4}{9})^{n+1}]}{9-4}=\dfrac{63}{5}\cdot [1-(\dfrac{4}{9})^{n+1}}][/tex]
And the limit of that expression when n tends to [tex]+\infty[/tex] is
[tex]\large \boxed{\ \ \dfrac{63}{5} \ \ }[/tex]
as
[tex]\dfrac{4}{9}<1[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Find the sum: 15+20+25+30+35+...+875+880+885
Answer:
the actual answer is 78750
Step-by-step explanation:
summation of 2-176 in the equation 5n+5
Solve of the following equations for x: x – 6 = -2
Answer:
x = 4
Step-by-step explanation:
x - 6 = -2
Add 6 to each side
x-6+6 = -2+6
x = 4
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
[tex]x - 6 = -2[/tex]
Add 6 on both sides of the equation. The [tex]x[/tex] variable should be isolated on one side.
[tex]x - 6 +6= -2+6[/tex]
[tex]x=4[/tex]
The value of [tex]x[/tex] is 4.
The value of y varies inversely as the square of x, and y = 9, when x = 4.
Find the value of x when y = 1. Do not include "=" in your answer.
Answer:
The answer is
12Step-by-step explanation:
The above variation is written as
[tex]y = \frac{k}{ {x}^{2} } [/tex]
where k is the constant of variation
when y = 9
x = 4
We have
k = yx²
k = 9(4)²
k = 9 × 16
k = 144
So the formula for the variation is
[tex]y = \frac{144}{ {x}^{2} } [/tex]
when y = 1
[tex]1 = \frac{144}{ {x}^{2} } [/tex]
Cross multiply
x² = 144
Find the square root of both sides
x = √144
x = 12
Hope this helps you.
±2
Step-by-step explanation:
11. A certain brand of margarine was analyzed to determine the level of polyunsaturated fatty acid (in percent). A sample of 6 packages had an average of 16.98 and sample standard deviation of 0.31. Assuming normality, a 99% confidence interval for the true mean of fatty acid level is:
Answer: (16.47, 17.49)
Step-by-step explanation:
Formula for confidence interval for the true mean if population stanmdard deviation is unknown:
[tex]\overline{x}\pm t_{\alpha/2}\dfrac{s}{\sqrt{n}}[/tex]
, where [tex]\overline{x}[/tex] = sample mean
n= sample size
s= sample standard deviation
[tex]t_{\alpha/2}[/tex] = Two tailed critical value.
We assume that the level of polyunsaturated fatty acid is normally distributed.
Given,
n= 6
degree of freedom = n-1 =5
[tex]\overline{x}[/tex] = 16.98
s= 0.31
significance level[tex](\alpha)[/tex] =1-0.99=0.01
Two tailed t- value for degree of freedom of 5 and significance level of 0.01 = [tex]t_{\alpha/2}=4.0317[/tex] [by student's t-table]
Now , the 99% confidence interval for the true mean of fatty acid level is:
[tex]16.98\pm 4.0317(\dfrac{0.31}{\sqrt{6}})\\\\=16.98\pm 4.0317(0.126557)\\\\=16.98\pm 0.51024\\\\=(16.98-0.51023,\ 16.98+0.51023)\\\\=(16.46977,\ 17.49023)\approx (16.47,\ 17.49)[/tex]
Hence, a 99% confidence interval for the true mean of fatty acid level is: (16.47, 17.49)
Solve polynomials 7/5 + 3/4 × 2 / 5-3 / 2
Answer:
Step-by-step explanation:
7/5 + 3/4 x 2/5 - 3/2
7/5 + 3/10 - 3/2
17/10 - 3/2
1/5
Step-by-step explanation:
Here, the given polynomial are,
=7/5+3/4×2/5-3/2
multiplying 3/4 and 2/5
= 7/5+6/20-3/2
taking LCM and adding them.
=(7×4+6×1-3×10)/20
by simplifying it we get, the answer is 1/5.
Hope it helps..
which equation can be used to solve for x in the following diagram? x° and (6x - 15)°
Answer:
= A
explanation :
the angle are right angle triangle which means it is always 90°Suppose we have 3 cards identical in form except that both sides of the first card are colored red, both sides of the second card are colored black, and one side of the third card is colored red and the other side is colored black. The 3 cards are mixed up in a hat, and 1 card is randomly selected and put down on the ground. If the upper side of the chosen card is colored red, what is the probability that the other side is colored black
Answer:
probability that the other side is colored black if the upper side of the chosen card is colored red = 1/3
Step-by-step explanation:
First of all;
Let B1 be the event that the card with two red sides is selected
Let B2 be the event that the
card with two black sides is selected
Let B3 be the event that the card with one red side and one black side is
selected
Let A be the event that the upper side of the selected card (when put down on the ground)
is red.
Now, from the question;
P(B3) = ⅓
P(A|B3) = ½
P(B1) = ⅓
P(A|B1) = 1
P(B2) = ⅓
P(A|B2)) = 0
(P(B3) = ⅓
P(A|B3) = ½
Now, we want to find the probability that the other side is colored black if the upper side of the chosen card is colored red. This probability is; P(B3|A). Thus, from the Bayes’ formula, it follows that;
P(B3|A) = [P(B3)•P(A|B3)]/[(P(B1)•P(A|B1)) + (P(B2)•P(A|B2)) + (P(B3)•P(A|B3))]
Thus;
P(B3|A) = [⅓×½]/[(⅓×1) + (⅓•0) + (⅓×½)]
P(B3|A) = (1/6)/(⅓ + 0 + 1/6)
P(B3|A) = (1/6)/(1/2)
P(B3|A) = 1/3
PLEASE HELP
A: 3.72
B: 15.75
C: 10.6
Answer:
3.716 m²
Step-by-step explanation:
10⁻² = 0.01, so 9.29 x 0.01 = 0.0929
multiple 0.0929 by 40 to get 3.716 m²