La respuesta es 15
31 - 16 = 15
solve for the exact value of x
4ln(8x−2)+2= 10
9514 1404 393
Answer:
x = (1/4) +(1/8)e^2
Step-by-step explanation:
Undo what is done to x.
4ln(8x-2) +2 = 10
4ln(8x -2) = 8 . . . . . . . subtract 2
ln(8x -2) = 2 . . . . . . . . divide by 4
8x -2 = e^2 . . . . . . . . . take antilogs
8x = 2 +e^2 . . . . . . . . add 2
x = (2 +e^2)/8 . . . . . . divide by 8
x = (1/4) +(1/8)e^2
A bag contains 14 blue, 30 red, and 6 green marbles. Paola draws a marbles from the bag, records its color, and puts the marble back into the bag. Then she repeats the process.
Based on the results, which is the best prediction of how many times Paola will draw a blue or a red marble in 5,000 trials?
Answer:
4,000
Step-by-step explanation:
Which expression is equivalent to 3/5?
A
3 × 5
B
3 + 5
C
3 ÷ 5
D
3 − 5
If x = -3 and y = 4 find the value of : x(3x + 4y)
Answer:
-21
Step-by-step explanation:
(−3)((3)(−3)+(4)(4))
=(−3)((3)(−3))+(−3)((4)(4))
=27−48
=−21
There are 12 chickens.
Every week each chicken lays 3 eggs.
What is the totai number of eggs iaid in 7 weeks?
You must show your working.
Answer:
252 eggs in 7 weeks
Step-by-step explanation:
[tex]12 \times 3 = 36 \\ 36 \times 7 = 252[/tex]
Which of the following is a result of shifting a circle with equation
(x-3)2 + (x - 5)2 = 36
down 2 units?
A. The x-coordinate of the center of the circle decreases by 2.
B. The y-coordinate of the center of the circle decreases by 2.
C. Both the x- and y-coordinates of the center of the circle decrease
by 2.
D. Both the x- and y-coordinates of the center of the circle increase
by 2.
The y-coordinate of the center of the circle decreases by 2. The correct option is B.
What is shifting of the circle?Shifting a circle means moving it to a new coordinate plane location without changing its size or shape.
This can be accomplished by adding or subtracting a constant value from one or both of the circle's centre coordinates.
Shifting a circle is useful in geometry and algebraic problem solving because it allows us to investigate how a circle's position affects its relationship to other shapes and objects on the coordinate plane.
To shift the circle down 2 units, we need to subtract 2 from the y-coordinate of the center. The center of the circle has coordinates (3, 5), so shifting it down 2 units results in a new center at (3, 5 - 2) = (3, 3).
Therefore, the correct answer is B. The y-coordinate of the center of the circle decreases by 2.
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If f(x) = 3-2x and g(x) = 1/x+5 , what is the value of (f/g) (8)
Answer: [tex]-\frac{104}{41}[/tex]
Step-by-step explanation:
[tex]f(8)=3-2(8)=-13\\\\g(8)=\frac{1}{8}+5=\frac{41}{8}\\\\\implies \left(\frac{f}{g} \right)(8)=\frac{-13}{41/8}=-\frac{104}{41}[/tex]
Researchers investigating a new drug selected a random sample of 200 people who are taking the drug. Of those selected, 76 indicated they were experiencing side effects from the drug. If 5,000 people took the drug, which of the following is closest to the interval estimate of the number of people who would indicate they were experiencing side effects from the drug at a 95 percent level of confidence?
a. (0.313,0.447)
b. (0.324, 0.436)
c. (65,87)
d. (1565, 2235)
e. (1620, 2180)
Answer:
a. (0.313,0.447)
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Researchers investigating a new drug selected a random sample of 200 people who are taking the drug. Of those selected, 76 indicated they were experiencing side effects from the drug.
This means that [tex]n = 200, \pi = \frac{76}{200} = 0.38[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.38 - 1.96\sqrt{\frac{0.38*0.62}{200}} = 0.313[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.38 + 1.96\sqrt{\frac{0.38*0.62}{200}} = 0.447[/tex]
The correct answer is given by option A.
Please answer it. I will give brainliest if its correct..
Answer:
9°
Step-by-step explanation:
6x = 5x +9
6x-5x=9
x= 9
_____
A child pool is 3.8 feet wide 5.5 feet long and 1.2 fee deep, what is the volume of the pool?
Answer:
25.08
Step-by-step explanation:
Answer:
25.08 cubic feet
Step-by-step explanation:
v = l * w * h
v = 5.5 * 3.8 * 1.2
v = 25.08 cubic feet
What’s the correct answer? I will mark as brainlest
Answer:
Dear your answer is 9
so , please mark me as brainliestTHANK YOU
I need the answer fast
Answer:
84
Step-by-step explanation:
Answer:
it would either be 2 or 26
Step-by-step explanation:
pls mark braainlieszt
help me please and thank u

Answer:
12.625 gets you a sucky car
Step-by-step explanation:
Find the equation of the tangent at the point (1.1) for the function Y given in the equation
xy^2 + y = 2x
If y = y(x), then the slope of the tangent line to (1, 1) is equal to the value of the derivative dy/dx when x = 1 and y = 1.
Compute the derivative using implicit differentiation:
d/dx [xy ^2 + y] = d/dx [2x]
d/dx [xy ^2] + d/dx [y] = 2 d/dx [x]
(x d/dx [y ^2] + d/dx [x] y ^2) + dy/dx = 2
2xy dy/dx + y ^2 + dy/dx = 2
(2xy + 1) dy/dx = 2 - y ^2
dy/dx = (2 - y ^2) / (2xy + 1)
Plug in x = 1 and y = 1 :
slope = dy/dx = (2 - 1^2) / (2*1*1 + 1) = 1/3
Now use the point-slope formula to get the equation of the line:
y - 1 = 1/3 (x - 1)
y = x/3 + 2/3
How can you evenly split 8 apples among 15 people without cutting any apple into more than 5 parts?
Answer:
1/3 and 1/5
Step-by-step expl1
u should kno
These triangles are:
A) congruent,
B) similar or
C) neither
Answer:
there is no photo
Step-by-step explanation:
What is the answer to this question?
Answer: inscribed angle
Step-by-step explanation:
inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle.
-7, -3, 1, 5 what is the explicit formula
Answer:
f(x)=4x-11
Step-by-step explanation:
This is a linear sequence, so we have to find our common difference, or slope, by finding the difference between any term and its previous term. We should do this a couple of times to make sure it's consistent. In this case, our slope is 4 and our first term is -7. We can do our equation in slope intercept (y=mx+b) form. However, to do this, we have to find the '0'th' term, or the term where x=0, a.k.a. the y-intercept. Our 1st term where x-1 is -7, and since our common difference is 4, we subtract 4 from negative 7 to get a y-intercept of -11. Our equation is now y=4x-11. To make this an explicit formula, we convert into f(x) form to get a formula of f(x)=4x-11.
Which of the following choices can be considered binomial random variables?
Choose all answers that apply:
A
A container holds 100 pens, half of which are red. Select an SRS of 5 pens and let R= the
number of red pens obtained.
в)
A container holds 1000 pens, half of which are red. Select an SRS of 5 pens and let S = the
number of red pens obtained.
A container holds 20 pens, half of which are red. Select an SRS of 5 pens and let Q = the
number of red pens obtained.
Answer: A and B
Step-by-step explanation:
Q isn’t a binomial since the pens are being selected without replacement and the sample size is more than 10% of the population size, so the trails are not independent.
A binomial random variable is such that can take either of two possibilities at the same time.
Samples R and S can be considered as binomial random variables
For a random variable to be considered a binomial random variable, the population must be at least ten times the sample size.
So, we have the following highlights
Container A
[tex]n =100[/tex]
[tex]x = 5[/tex]
Divide n by x
[tex]\frac nx = \frac{100}{5}[/tex]
[tex]\frac nx = 20[/tex]
This means that the population is 20 times the sample size.
Hence, R is a binomial random variable.
Container B
[tex]n =1000[/tex]
[tex]x = 5[/tex]
Divide n by x
[tex]\frac nx = \frac{1000}{5}[/tex]
[tex]\frac nx = 200[/tex]
This means that the population is 200 times the sample size.
Hence, S is a binomial random variable.
Container C
[tex]n =20[/tex]
[tex]x = 5[/tex]
Divide n by x
[tex]\frac nx = \frac{20}{5}[/tex]
[tex]\frac nx = 4[/tex]
This means that the population is 4 times the sample size.
Hence, Q is not a binomial random variable.
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Question 23 of 25
Find x. Round your answer to the nearest integer.
15
37
х
O
A. 6
B. 9
0 o o
C. 12
D. 8
Answer:
[tex]x[/tex] rounded to the nearest integer would be 12.
Step-by-step explanation:
In order to calculate the length of [tex]x[/tex], you can use the law of sines, a trigonometry rule used to solve the angles and sides of a right triangle. The law of sines states that the sine of an angle in a triangle divided by its opposite side is equivalent to all other angles taken to their sines and divided by their opposite sides. Using this rule, we can now calculate the length of [tex]x[/tex]. In this case, [tex]\frac{sin(90^{o})}{15} = \frac{sin(53^{o})}{x}[/tex] ⇒ [tex]\frac{15}{sin(90^{o})} = \frac{x}{sin(53^{o})}[/tex] ⇒ [tex]x=\frac{15*sin(53^{o})}{sin(90^{o})}[/tex] ⇒ [tex]x=15*sin(53^{o} )[/tex] ⇒ [tex]x[/tex] ≈ 12. So side [tex]x[/tex] rounded to the nearest integer would be 12.
The value of x in the given triangle is 12, Option C is correct.
The given triangle is a right angled triangle.
We need to find the value of x.
We know that cosx is adjacent side by hypotenuse.
Cos 37 = Adjacent side/ Hypotenuse
The value of cos37 degrees is 0.7654
0.7654 = x/15
15×0.7654=x
11.5 =x
12=x
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A car dealership sells 3 types of vehicles (cars, trucks, SUVs) that come in 5 different colors (blue, black, white, silver, red). Which table represents the sample space of randomly selecting a vehicle from the dealership? (DOK 1)
Table A
Blue Black White Silver Red
Vehicle Blue Vehicle Black Vehicle White Vehicle Silver Vehicle Red Vehicle
Table B
Blue Black White Silver Red
Car Blue Car Black Car White Car Silver Car Red Car
Truck Blue Truck Black Truck White Truck Silver Truck Red Truck
SUV Blue SUV Black SUV White SUV Silver SUV Red SUV
Table C
Blue Black White Silver Red
Car Blue Car Black Car White Car Silver Car Red Car
Car Blue Car Black Car White Car Silver Car Red Car
SUV Blue SUV Black SUV White SUV Silver SUV Red SUV
Table D
Black White Black White Red
Car Black Car White Car Black Car White Car Red Car
Truck Black Truck White Truck Black Truck White Truck Red Truck
SUV Black SUV White SUV Black SUV White SUV Red SUV
Select one:
Table B
Table A
Table C
Table D
Step-by-step explanation:
Table A
Blue Black White Silver Red
Vehicle Blue Vehicle Black Vehicle White Vehicle Silver Vehicle Red Vehicle
hope it is helpful to you
What is the probability of getting 5 baskets ina row out of 10 shots
Topic Test
Find the coordinates of PQ with endpoints P(2, -4) and Q(4, 2) under the translation left 3 units and up 4 units.
a. P'(-2, -4) and Q'(-4, -2)
b. P'(-1, 0) and Q'(1, 6)
c. P'(5, -1) and Q'(-2, -2)
d. P'(0, -7) and Q'(1, -1)
Please select the best answer from the choices provided
Answer:
B. P'(-1, 0) and Q'(1, 6)
Step-by-step explanation:
Please select the best answer from the choices provided
Answer:
The answer is A. P'(-2, -4) and Q'(-4, -2)
Step-by-step explanation:
OMG, I just did the Topic Test for Math on Edge earlier today! Good luck on it!
You own a gas station. You are supervising the filling of the station's cylindrical fuel tank. The fuel tank has a height of
36 feet and can hold 2,500 cubic yards of fuel.
Based on these specifications, what is the radius of the fuel tank, rounded to the nearest hundredth of a yard?
0 4.70
08.15
22.12
25.58
66.35
Answer:
8.15
Step-by-step explanation:
Solve for x. Need it by today.
Alright, so a circle is 360 degrees. We know there's an arc of 90 and an angle extending from the radius being 125.
Since the given angle extending from the radius is at the radius, there will also be a 125 degree arc at the circumference of the circle there.
With this, do:
360-90-125 = 145
to get the amount of arc in the unknown area.
Still though, we need to find the x value, so get the unknown value and set it equal to 145.
16x + 1 = 145
16x + 1-1 = 145-1
16x=145
x = 9.0625 or 9 1/16
Hope that helps.
URGENT NEED HELP CLICK TO SEE
Answer:
35
Step-by-step explanation:
- x - = +
Therefore :
-5 x - 7 = 35
Angle Relationships
For the triangle above, find sin B.
a. 25°
b. 0.385
c. 0.923
d. 18°
Please select the best answer from the choices provided
Answer:
c
Step-by-step explanation:
12/13=0.923 , and also sinb is ac/ab
Answer:
C. 0.923
Step-by-step explanation:
I calculated it logically
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Answer:
c
Step-by-step explanation:
Answer:
The answer is B [4.5x + 15]
Step-by-step
The triangle is an equilateral, so you can use the same formula on each side.
1.5x x 3 = 4.5x
5 x 3 = 15
Complete the congruence statement.
Answer:
QPR
Step-by-step explanation:
If PQR = GHI, then HGI = QPR
Ryan is going to invest in an account paying an interest rate of 1.5%
compounded continuously. How much would Ryan need to invest, to the
nearest ten dollars, for the value of the account to reach $2,600 in 5 years?
Step-by-step explanation:
2,360×8=2,360 two thundered three hundred and sixty