Rewrite the given equation in logarithmic form. Then, select all of the equations with an equivalent solution.
8e^x - 5 = 0
Answer:
ans: ln (5/8) , ln5 - ln8
Step-by-step explanation:
8e^x -5 = 0
e^x = 5/8
x = ln (5/8)
x = ln5 - ln8
If i Bahraini dinar = £2.13, convert 4000 dinar to pounds. show your working.
Answer:
£8520
Step-by-step explanation:
1 Bahraini dinar = £2.13
Multiply both sides of the equation by 4000.
4000 * 1 Bahraini dinar = 4000 * £2.13
4000 Bahraini dinar = £8520
Can some one help me with this math question?
Answer:
I'm pretty sure it would be base x height divided by 2 so 20×6÷2
Two expressions of the equation
Step-by-step explanation:
let the expression of the equation be :
x+y=0
x²+y²= 5
hope it is helpful to you
a basketball team playd 64 games they won 28 more than they lost
Mr Tay had 265 m of wire.
He cut the wire into 4 equal pieces with 25 m left over.
What was the length of each equal piece of wire?
Answer:6
Step-by-step explanation:
265-25
240/4
6
Answer:
60
Step-by-step explanai o
n:
265 -25= 240
240/4=6 0
PLEASE HELP ASAP!! The graph of the equation y = 3x + 1 is shown below.
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Answer:
A. y = 3^-x +1
Step-by-step explanation:
Reflection across the y-axis replaces x with -x. The reflected curve is described by ...
y = 3^-x +1 . . . . matches choice A
if ABCD is a cyclic quadrilateral and A,B,C,D are its interior angles , then prove that
tanA/2+tanB/2=cotC/2+cotD/2
answer the question plz
dont spam or else i will report that
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Explanation:
In a cyclic quadrilateral, opposite angles are supplementary. This means ...
A + C = 180° ⇒ A/2 +C/2 = 90° ⇒ C/2 = 90° -A/2
B + D = 180° ⇒ B/2 +D/2 = 90° ⇒ D/2 = 90° -B/2
It is a trig identity that ...
tan(α) = cot(90° -α)
so we have ...
tan(A/2) = cot(90° -A/2) = cot(C/2)
and
tan(B/2) = cot(90° -B/2) = cot(D/2)
Adding these two equations together gives the desired result:
tan(A/2) +tan(B/2) = cot(C/2) +cot(D/2)
The graph shows the relationship between the number of hours that Michelle has been driving and the distance that she has left to travel to get to her destination.
A graph on a coordinate plane titled Distance Remaining Over Time. The x-axis is labeled time (in hours), numbered 1 to 8, and the y-axis is labeled miles to destination, numbered 50 to 400. A straight line with a negative slope starts at point (0, 350) and ends at point (7, 0).
Which statement is true?
It took Michelle 6 hours to complete the trip.
For each hour that Michelle drove, she traveled an additional 50 miles.
In the first 6 hours, Michelle had traveled a total of 50 miles.
In the first 3 hours, Michelle had traveled a total of 200 mile\
Answer:
(b) For each hour that Michelle drove, she traveled an additional 50 miles.
Step-by-step explanation:
Given
[tex](x_1,y_1) = (0,350)[/tex] ---- start
[tex](x_2,y_2) = (7,0)[/tex] --- end
Required
Which is true
(a): Journey = 6 hours
This is false, because:
[tex]x = x_2 - x_1[/tex]
[tex]x = 7-0[/tex]
[tex]x = 7[/tex] ---- 7 hours
(b): The average rate is 50 miles per hour
To do this, we calculate the slope (m) using:
[tex]m = \frac{y_2 -y_1}{x_2- x_1}[/tex]
[tex]m = \frac{0 - 350}{7-0}[/tex]
[tex]m = -\frac{350}{7}[/tex]
[tex]m = -50[/tex]
This means that the rate is 50 miles driven in 1 hour.
(b) is correct
Others are incorrect
Answer:
B
Step-by-step explanation:
I did it
A gas pump measures volume of gas to the nearest 0.01 gallon. Which measurement shows an appropriate level of precision for the pump?
Answer:
12.3 Gallons
Step-by-step explanation:
Options of the question:-
Option A. 12.33 gallons
Option B. 10 gallons
Option C. 12 gallons
Option D. 12.3 gallons
Option D is the answer :-
As the least count or zero error is 0.1 so it can measure only upto one decimal place so answer will be 12.3
At a little known vacation spot taxi fares are a bargain. A 49 mile taxi ride takes 56 minutes and cost $39.20. You want to find the cost of a 34 mile taxi ride
i need help with this question on my homework
Answer:
the angle would be 64°
Step-by-step explanation:
since the other angle is already 296° having the other angle would add to complete the 360 degrees of the circle
Answer:
Step-by-step explanation:
64 because you subtract 360 by 296
A block of wood has the shape of a triangular prism. The bases are right triangles. Find its surface area. 4.5 in 6 in 16 in 7.5 in
Answer:
315 in²
Step-by-step explanation:
the surface area is the sum of the areas of all the individual shapes in the surface.
so, we have the 2 triangular bases and 3 rectangles as is sides.
the area of a rectangular triangle is a×b/2
we need them twice, so that is then a×b
a=4.5
b=6
a×b = 27 in²
one rectangle is 16×7.5 = 120 in²
one rectangle is 16×6 = 96 in²
one rectangle is 16×4.5 = 72 in²
total surface area is therefore
A = 27+120+96+72 = 315 in²
Question 10 (1 point)
After a certain drug is injected into a patent, the concentration C of the drug in the
bloodstream is monitored. At time t > 0 (in minutes since the injection) the
concentration (in mg/L) is given by
5
30t
c(t)
t2 + 2
9
What will the concentration of the drug eventually be in the bloodstream? Do not
enter any units with your answer.
Answer:
From the values obtained, we can see that after the initial 10mg/L values obtained in the first 1 and 2 minutes, the concentration has been dipping and it will continue to do so.
Step-by-step explanation:
The concentration monitored ar time, t > 0 is represented by :
C(t) = 30t / (t² + 2.)
At, t = 1
C(1) = 30(1) / (1 + 2) = 30/3 = 10
At t = 2
C(2) = 30(2) / (2² + 2) = 60/(4+2) = 60/6 = 10
At t = 3
C(3) = 30(3) / (3² + 2) = 90/ 11 = 8.18
At t = 4
C(4) = 30(4) / (4²+2) = 120/18 = 6.67
At t = 5
C(5) = 30(5) / (5²+2) = 150/ 27 = 5.55
At t = 10
C(10) = 30(10) / (10²+2) = 300/102 = 2.94
From the values obtained, we can see that after the initial 10mg/L values obtained in the first 1 and 2 minutes, the concentration has been dipping and it will continue to do so.
SOLVE THIS PROBLEM PLEASE 20 POINTS
Answer:
x=5
y=0
Step-by-step explanation:
KL = JM
3x-y = 15
and JK = LM
4x -4y = 20
Divide this equation by 4
x-y= 5
Multiply by -1
-x+y =-5
Add this to the first equation
3x-y = 15
-x+y =-5
-----------------
2x = 10
Divide by 2
2x/2 = 10/2
x =5
x-y = 5
5-y = 5
-y = 0
y =0
Answer:
x=5,y=0
Step-by-step explanation:
KL=JM [Opposite sides of rectangle are equal]
3x-y=15-> eq 1
JK=LM
4x-4y=20
=>4(x-y)=20
=>x-y=5-> eq 2
From eq 1 and 2,
3x-y=15
x-y=5
=>2x=10
=>x=5
x-y=5
y=x-5
=>y=5-5
=>y=0
find the area of irregular figures
Answer:
I believe it is 90
Step-by-step explanation:
I'm not so sure but when finding the area of a shape you times all those lengths together.
Answer: There is NO answer because there is some missing information!
Step-by-step explanation:
Tania is buying a guitar. Guitar Central has 20% off coupons available, and has the guitar Tania wants for $349. Music Mart has the guitar Tania wants for $419, but is offering a $200 rebate. Which is the better deal? _________________________________________________________________________________________
Answer:
Music Mart offers a better deal, given that the price of the guitar is $ 219 compared to $ 279.20 for Guitar Central.
Step-by-step explanation:
Since Tania is buying a guitar, and Guitar Central has 20% off coupons available, and has the guitar Tania wants for $ 349, while Music Mart has the guitar Tania wants for $ 419, but is offering a $ 200 rebate, to determine which is the better deal the following calculations must be performed:
Guitar Central
100 - 20 = 80
349 x 0.8 = X
279.20 = X
Music mart
419 - 200 = X
219 = X
Therefore, Music Mart offers a better deal, given that the price of the guitar is $ 219 compared to $ 279.20 for Guitar Central.
Need help please with end behavior!
I'll focus on problem 2.
For these types of problems, I recommend graphing the functions to see how the end behavior looks.
The graph of y = x^2 has a parabola where both endpoints aim upward. So each end goes to positive infinity (regardless if x is going to positive or negative infinity).
In short, the graph rises to the left and it rises to the right.
Increasing the leading coefficient will not change this fact. We can pick any leading coefficient we want and the end behavior will stay the same. All that matters is the leading coefficient is positive.
If the leading coefficient becomes negative, then everything flips: the endpoints will aim down. The other terms we add on (such as a 3x+3) will not change the end behavior. The leading term, with the largest exponent, is what directly and solely determines the end behavior.
The graph is shown below. I used GeoGebra to make the graph. Desmos is another handy tool you could use.
PLEASE HELP ME WILL MARK YOJ THIS IS PT.2 TO MY QUESTION BEFLRE
Step-by-step explanation:
simplify
8 add (12 subtract 5)
Step-by-step explanation:
13) Second angle (side shared)
14) Second side (one side shared)
15) Second side (angles where they meet are equal)
16) Second angle (one angle equal cause of a rule)
17) Third side
18) Second side
Anempt 1012
Find the mean for the given set of data.
-4,-3,-1,-1, 0,1
Answer:
-1 1/3
Step-by-step explanation:
To find the mean, add up all the numbers
(-4+-3+-1+-1+0+1) =
-8
Then divide by the number of terms
-8/6
-4/3
-1 1/3
Answer A is your answer
Step-by-step explanation:
The fracture strength of tempered glass averages 14 (measured in thousands of pounds per square inch) and has standard deviation 2. (a) What is the probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2
Answer:
0.1587 = 15.87% probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The fracture strength of tempered glass averages 14 (measured in thousands of pounds per square inch) and has standard deviation 2.
This means that [tex]\mu = 14, \sigma = 2[/tex]
Sample of 100:
This means that [tex]n = 100, s = \frac{2}{\sqrt{100}} = 0.2[/tex]
What is the probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2?
This is 1 subtracted by the p-value of Z when X = 14.2. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{14.2 - 14}{0.2}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a p-value of 0.8413.
1 - 0.8413 = 0.1587
0.1587 = 15.87% probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2.
The following dot plot shows the number of chocolate chips in each cookie that Shawn has. Each dot represents a different cookie. Which of the following is a typical amount of chocolate chips in one of Shawn's cookies?
Choose 1 answer:
Please help me!!!!
Using the dot plot, it is found that a typical amount of chocolate chips in one of Shawn's cookies is around 4.56.
What is a dot plot?The dot plot is a graph shows the number of times each measure appears in the data-set.
Researching this problem on the internet, the dot plot states that:
2 cookies have 2 chips.2 cookies have 3 chips.5 cookies have 4 chips.4 cookies have 5 ships.3 cookies have 6 ships.2 cookies have 7 chips.The mean is given by:
M = (2 x 2 + 2 x 3 + 5 x 4 + 4 x 5 + 3 x 6 + 2 x 7)/(2 + 2 + 5 + 4 + 3 + 2) = 4.56.
Hence, a typical amount of chocolate chips in one of Shawn's cookies is around 4.56.
More can be learned about dot plots at https://brainly.com/question/24912483
Answer:
5 chocolate chips
Step-by-step explanation:
did on khan
Find the value of x.
68°
110°
135°
Answer:
47
Step-by-step explanation:
Answer:
hi, the answer is 47°
Step-by-step explanation:
68+135+110=313 360-313=47
If "u" varies directly with "v," and u = 6
when v = -7, what is "u" when v = 4
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Answer:
u = -3 3/7
Step-by-step explanation:
The new value of v is 4/-7 = -4/7 of the old value. Because u varies directly, its new value will also be -4/7 of the old value.
u = -4/7(6) = -24/7
u = -3 3/7
In parallelogram HJKL if HM=12 find HK.
K
M
M
H
L
Answer:
HK = 24
Step-by-step explanation:
HK and JL are diagonals of the parallelogram.
Recall that diagonals of a parallelogram bisect each other. This implies that, they divide each other into equal parts.
Therefore,
HK = 2(HM)
HM = 12
Thus,
HK = 2(12)
HK = 24
Shawna reduced the size of a rectangle to a
height of 2 in. What is the new width if it
was originally 24 in wide and 12 in tall?
Answer: 10 in
Step-by-step explanation:
Suppose x and y are sets such that XuB=(-8,-4,-2,0,2,4,6,8), XnY =(-2,0,2) and X/Y =(-8,8) on this basis which of the following is not true
Answer:
I need points
Step-by-step explanation:
Instant Dinner comes in packages with weights that are normally distributed, with a standard deviation of 0.5 oz. If 2.3% of the dinners weigh more than 13.2 oz, what is the mean weight?
Answer:
12.2
Step-by-step explanation:
2.3%= 0.023
So that is the probability that it will be over 13.2 oz, or .977 is the prob that it will be below 13.2
z-score = (real score - mean)/standard deviation
I found .977 at a z-score of 2.00
so 2.00 = (13.2-m)/0.5
=> m=12.2
Please help ASAP!!!
Answer:
C.
Step-by-step explanation:
When you replace x with x - h, the graph shifts h units horizontally.
Here, x is replaced by x - 12.
Compare x - 12 to x - h.
h = 12
The graph shifts 12 units to the right.
Answer:
answer maybe A..not sure but it might be in my opinion..
Consider a maximization linear programming problem with extreme points xi, x2, Xz. and x4. and extreme directions d1,. d2, and dz. and with an objective function gradient e such that cx1 =4, cx2 = 6, cx3= 6, cx4=3, cd1= 0, cd2=0, and cd3=2. Characterize the set of alternative optimal solutions to this problem.
Answer:
Set of alternative optimal solution : 0 ≤ z ≤ 1.5
Hence There will be an infinite set of Alternative optimal solution
Step-by-step explanation:
considering Cx1 = 4
∴ C = 4 / x1
Cx2 = 6
∴ 4x2 - 6x1 = 0
2x2 - 3x1 = 0 ------ ( 1 )
considering Cx3 = 6
C = 6/x3
Cx4 = 3
∴ (6/x3) x4 - 3 = 0
= 2x4 - x3 = 0 ---- ( 2 )
attached below is the remaining part of the solution
set of alternative optimal solution : 0 ≤ z ≤ 1.5
There will be an infinite set of Alternative optimal solution