Answer:
x ≥ -3
Step-by-step explanation:
2x + 5 ≥ -1
-5 -5
2x. ≥-6
divide both side by 2
x ≥ -3
If D varies directly with t and D is 105 when t is 3, find D when t is 8.
Answer:
280
Step-by-step explanation:
answer is 280
Answer:
answer is 280
Step-by-step explanation:
d=xt
105=x3
35=x
d=35*8
d=280
work out
34 =4 ==3
simplest form
Please help ill give brainly ❤️
Answer:
the answer is c because it is the only one with the y intercept
Let X have an exponential probability density function with B = 500.
a. Compute Pr[X > 500).
b. Compute the conditional probability Pr[X > 1000 | X > 500).
a. The probability that X is greater than 500 is approximately 0.368.
b. The conditional probability that X is greater than 1000 is approximately 0.368.
a. To compute Pr[X > 500), we use the cumulative distribution function (CDF) of the exponential distribution, which is:
F(x) = 1 - e^(-x/B)
Plugging in B = 500 and x = 500, we get:
Pr[X > 500) = 1 - F(500) = 1 - (1 - e^(-500/500)) = e^(-1) ≈ 0.368
Therefore, the probability that X is greater than 500 is approximately 0.368.
b. To compute Pr[X > 1000 | X > 500), we use the definition of conditional probability:
Pr[X > 1000 | X > 500) = Pr[(X > 1000) ∩ (X > 500)] / Pr[X > 500)
Since X is a continuous random variable, we can rewrite the probability of the intersection using the minimum of X:
Pr[(X > 1000) ∩ (X > 500)] = Pr[X > max(1000, 500)] = Pr[X > 1000]
Plugging in B = 500 into the CDF, we have:
Pr[X > 1000] = 1 - F(1000) = 1 - (1 - e^(-1000/500)) = e^(-2) ≈ 0.135
We already know from part a that Pr[X > 500) = e^(-1) ≈ 0.368.
Putting it all together, we have:
Pr[X > 1000 | X > 500) = Pr[X > 1000] / Pr[X > 500) = (e^(-2)) / (e^(-1)) = e^(-1) ≈ 0.368
This result shows that the conditional probability that X is greater than 1000, given that it is already greater than 500, is the same as the probability that X is greater than 500 on its own. In other words, knowledge of the fact that X is already greater than 500 does not change our prediction about whether it will be greater than 1000 or not.
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Slime is made with 3 parts
starch and 5 parts glue. If !
only have 2.5 cups of glue,
how many cups of starch
should I use?
neeed help!!!!!!!!!!!
The length of a rectangle is 5 feet less than 3 times its width. A. Write a rule for the area A as a function of the width w. B. What is the area of the rectangle when its width is 2 feet?
Answer:
A. A = (3w - 5) * w
B. 2 feet squared
Explanation:
A. The length is 5 less than 3 times the width. To write the rule for this, you’d subtract 5 from 3 times the width (3w - 5). The area is the length times the width so the rule would be:
A = (3w - 5) * w
——————————
B. Plug in 2 for w using the given rule.
A = (3[2] - 5) * (2)
Distribute
(6 - 5) * 2
Subtract 5 from 6
1 * 2 = 2
The answer is 2 feet squared since this is area.
Eva bought 20 chicken wings for $20.00. If Eva spent $18.00, how many chicken wings did she buy?
Eva bought 18 chicken wings with $18
How to calculate the number of chicken wings that Eva bought ?Eva bought 20 chicken wings for $20
The first step is to calculate the cost of one chicken wing
= 20/20
= 1
1 chicken wings cost $1, if Eva spent $18 then the number of chicken wings bought can be calculated as follows
= 18 × 1
= 18
Hence Eva bought 18 chicken wings with $18
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(a)No potatoes of mine, that are new, have been boiled.
(b) All my potatoes in this dish are fit to eat.
(c) No unboiled potatoes of mine are fit to eat.
Divide 12x5 − 6x4 − 24x3 by −6x3.
−2x2 + x + 4
−2x2 + x − 4
−2x2 − 12x + 4
6x2 − 12x − 30
Answer:
6x2 − 12x − 30
Answer:
−2x^2 + x + 4
Step-by-step explanation:
5. Given AADL AAKM with AD = 14, DK = 21, and
AL= 15. What is the measure of LM?
Answer:
22.5
Step-by-step explanation:
first of all, the first sign in the designations of the triangles is not an A. it is the Greek Delta (capital) sign. standing for "triangle" due to its shape.
as the diagram shows (and the description says correctly), ADL and AKM are similar triangles.
that means they have the same angles.
and in order to keep the same angles even when the lengths of the sides are different, the relative relation of the side lengths must be the same for all sides.
that means, if one side changes by a factor f, then both other sides must change by the same factor.
so, by checking the change factor for AD (to AK), we can then determine the change of AL to AM. and then we simply subtract AL from AM and get LM.
the original AD = 14.
AK = AD + DK = 14 + 21 = 35
the change factor f is then AK/AD = 35/14 = 5/2
in other words AD grew by a factor of 5/2.
AM is then created by applying the same factor to AL.
=> AM = 15 * 5 / 2 = 75 / 2 = 37.5
=> LM = AM - AL = 37.5 - 15 = 22.5
Step-by-step explanation:
intindihin nyo na lang.
Helpppppp please and thank youuu
Answer:
y = 3x + 1
Step-by-step explanation:
Given the following points (0, 1) and (1, 4),
Let x1 = 0
y1 = 1
x2 = 1
y2 = 4
We can solve for the solve for the slope using the following formula:
\(m = \frac{y2 - y1}{x2 - x1} = \frac{rise}{run} = \frac{4 - 1}{1 - 0} = \frac{3}{1} = 3\)
Next, the y-intercept is the value of y, when x = 0. Looking at one of the given points, (0, 1) we can see that the value of y when x = 0 is 1.
Therefore, the y-intercept is (0, 1), or b = 1.
Given our slope, m = 3, and y-intercept, b = 1:
Our linear equation in slope-intercept form, y = mx + b is:
y = 3x + 1
Bonus question: If Susan makes$12.50 an hour for working a regular 40 hour week, and she invests one day's pay in a savings account that earns .05% interest, how much money would she have in her saving account after 1 year if she opened her account with $500? *
Answer:
Your answer would be: almost $5, but the actual amount is $4.67.
Reason being: when you divide $140 by 30, you get $4.67, and rounding to the nearest number, you get $5.
Therefore, the answer is $4.67
Step-by-step explanation:
Hi!
From what I know, the answer is: $5,503.
I got that answer by first multiplying 40 to 12.50, which was 500, then added .05% to 500, which ended up being 500.25. Then multiplied 500.25 with 12 (because there's 12 months in a year.) which was 6,003. I then subtracted 500 (because she opened it with 500) from 6,003 which was, the answer, $5,003.
Hope this helps! Sorry if its wrong, I was seriously racking my brain trying to get you this answer lol.
What is the area of the following circle? Either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal. d=10
31 points if someone gets it right.
You spin a spinner that is equally divided into 9 parts. 2 parts are red, 3 parts are white, 1 part is blue, and 3 parts are black.
what is the probability of the spinner stopping at a red section. Write your answer as a fraction.
Answer:
Step-by-step explanation:
you have 2/9 of a chance :)
Answer:
P(Red) = 2/9
Step-by-step explanation:
2 parts are red out of 9 total parts, so the probability of the spinner stopping at a red section would be 2/9.
Which constant number would be an to both sides of the equation rn order to complete the square for the quadratic function 1=x^2-6x
Answer:
k = 9
Step-by-step explanation:
Given
\(1= x^2 - 6x\)
Required
The perfect number
The coefficient c of x in the above equation is:
\(c = -6\)
Divide by 2
\(c/2 = -3\)
Square both sides
\((c/2)^2 = 9\)
Hence, the constant to add is:
\(k = 9\)
This is hard I need help
Answer:
140.22 ft²Step-by-step explanation:
Surface area is the sum of areas of 4 triangles.
Each triangle has:
b = 9 ft, h = 7.79 ftArea of each triangle:
A = 1/2bhA = 1/2*9*7.79 = 35.055 ft²Surface area:
S = 4*35.055 = 140.22 ft²The graph of y=3x is shown. What is the value of x when y=27?
A. 2
B. 3
C. 9
D. 24
It said c was wrong
Answer:
x = 3
Step-by-step explanation:
Is x an exponent?
\( y = 3^x \)
\( 27 = 3^x \)
\( 3^3 = 3^x \)
\( x = 3 \)
Given that XY is a line segment with the angle a = 48° and c = 59°, work out the value of the angle marked b.
The diagram is not drawn to scale.
Answer:
a+b+c = 180
48+59+b=180
107+b=180
b=180-107
b=73
Answer: b equals to 73 Degrees
Step-by-step explanation:
Calculate the net force these forces acts on a single object, 30n up 25n down 5n down 5n up
The net force acting on the object is 10N up
When multiple forces act on an object, the net force is the total force acting on the object. It determines the object's motion, including its direction and speed.
To calculate the net force, we need to add all the forces acting on the object. If the net force is zero, the object will remain at rest or move with a constant velocity, while if it is non-zero, the object's velocity will change, and it will accelerate in the direction of the net force.
In this scenario, there are four forces acting on the object, two pointing up and two pointing down. To calculate the net force, we need to add all the forces together, taking into account their direction and magnitude.
Since the forces pointing up and down are opposite in direction, we subtract the smaller force from the larger one to get the resultant force. In other words, we can cancel out the forces pointing in opposite directions, leaving us with a single net force acting on the object.
So, in this case, we have a 30N force pointing up, a 25N force pointing down, a 5N force pointing down, and a 5N force pointing up.
First, we'll cancel out the 5N force pointing down with the 5N force pointing up.
30N up - 25N down - 5N down + 5N up
= 30N - 25N - 5N + 5N
= 30N - 20N
= 10N up
Therefore, the net force acting on the object is 10N up. This means that the object will accelerate in the upward direction with a force of 10N
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Complete Question
Calculate the net force these forces acts on a single object, 30N [up],
25N [down], 5N [down] and 5N [up]
A trip on a boat normally costs £26, but there is now a discount of 15%.
Work out the cost of the trip after the discount.
Answer:
So all you have to do is ... 15% of $26=3.9, in that case your answer would be 22.1. Hope that helped!
A 6-pack of felt-tip pens costs $2.16. What is the unit price?
Step-by-step explanation:
$3.68 for 16 pens
$3.68 per 16 pens
($3.68) / (16 pens)
$0.23 / (1 pen)
$0.23 / pen
$0.23 per pen
Answer: $0.36
Step-by-step explanation:
Because you divide $2.16 & 6 to get it.
please give a step by step ASAP
The correct option is the fourth one, the slope and y-intercept are different.
Which statement is correct?Here we have the linear equation:
3x - 5y = 4
We know that it is dilated by a scale factor of 5/3, so let's find the dilation.
We can rewrite the linear equation as:
-5y = 4 - 3x
y = (3/5)x - 4/5
Now let's apply the dilation:
y = (5/3)*[ (3/5)x - 4/5]
y = x - 4/3
Then we can see that the slope and the y-intercept are different, the correct option is 4.
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2a) Determine the unknown angle x.
The unknown angle x in the triangle is 80 degrees
How to determine the unknown angle x.From the question, we have the following parameters that can be used in our computation:
The triangle
The unknown angle x is calculated using the sum of angles in a triangle theorem
So, we have
x + 60 + 40 = 180
Evaluate the like terms
x + 100 = 180
So, we have
x = 80
Hence, the unknown angle x is 80 degrees
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for the orthogonal matrix verify that (ax ay)=(x y)
The given statement "If A is n × n an orthogonal. Then for all X, Y ∈ Rₙ we have AX · AY = X · Y" is proved.
Given that A is a n * n order matrix.
And X, Y ∈ Rₙ so,
|X - Y|² = (X - Y) * (X - Y)
|X - Y|² = |X|² - 2 * X * Y + |Y|²
2 * X * Y = |X|² + |Y|² - |X - Y|²
Since A is orthogonal matrix so,
2 * (AX * AY) = |AX|² + |AY|² - |AX - AY|²
2 * (AX * AY) = |X|² + |Y|² - |X - Y|²
2 * (AX * AY) = 2 * X * Y
(AX * AY) = X * Y
Hence the statement is proved.
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The question is incomplete. The complete question will be -
"Suppose that A is n × n an orthogonal. Then for all X, Y ∈ Rₙ we have
AX · AY = X · Y"
5. Isaiah inherited $7,000 and plans to deposit it into a savings account that earns 6% interest.
Isaiah wants to compare the interest earnings after 60 months based on whether the account
earns simple or compound interest. After using each formula below, Isaiah subtracts the
solutions and determines that after 60 months, the account with compound interest would earn
$7,267.58 more in interest. Do you agree with Isaiah's thinking? Explain why or why not.
Isaiah's thinking is correct. Compound interest does earn $341.95 more than simple interest in 60 months.
Does compound interest earn more than simple interest?Let P be the principal amount of $7,000
Let r be the annual interest rate of 6%
Let n be the number of compounding periods per year.
Using formula for simple interest: I = Prt, the interest earned after 60 months is:
I = 7,000 × 0.06 × 5
I = $2,100.
Using formula for compound interest \(A = P(1 + r/n)^{nt}\). The amount after 60 months with monthly compounding is:
\(A = 7,000*(1 + 0.06/12)^{12*5}\\A = 7,000*1.34885015255\\A = 9441.95106785\\A = $9441.95\)
The interest earned is:
I = A - P
I = $9441.95 - $7,000
I = $2,441.95.
The difference in interest earned between compound and simple interest is:
= $2,441.95 - $2,100
= $341.95.
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Settle a Dispute
Afi claims that f(a) = 9.3 has multiple solutions.
Iris claims that f (9.3) = a has multiple solutions. A
Who is correct?
Afi
Iris
Both
Neither
The correct option regarding the person who is correct is given as follows:
Afi.
When does a relation represents a function?A relation represents a function when each input value is mapped to a single output value.
For Afi claim, we have that there are multiple inputs mapped to an output of 9.3, which is possible.
For Iris claim, we have than an input of 9.3 would be mapped to multiple outputs, hence f would not be a function and the claim is false.
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The figure shows the relationship between the number of miles per gallon on the highway and that in the city for some cars.
In this relationship between the number of miles per gallon on the highway and that in the city for some cars are:
For each additional city mpg, the highway value goes up by
0.9478 mpg.
And It is inappropriate to interpret the intercept because no cars get 0 mpg in the city.
According to the statement
we have given that the relationship between the number of miles per gallon on the highway in the graphical representation and that in the city for some cars.
And we have to give some reasons for the given statements.
So, For this purpose, we know that the
A. In this statement we have to tell that the what is shown in the given relationship in the graph.
So, For each additional city mpg, the highway value goes up by
0.9478 mpg.
And the second statement is
B. I this we have to tell the intercept of the plane in the given Relationship.
So, It is inappropriate to interpret the intercept because no cars get 0 mpg in the city.
So, In this relationship between the number of miles per gallon on the highway and that in the city for some cars are:
For each additional city mpg, the highway value goes up by
0.9478 mpg.
And It is inappropriate to interpret the intercept because no cars get 0 mpg in the city.
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Disclaimer: This question was incomplete. Pleas find the full content below.
Question:
The figure shows the relationship between the number of miles per gallon on the highway and that in the city for some cars.
a. Report the slope and explain what it means.
b. Either interpret the intercept (7.792) or explain why it is not appropriate to interpret the intercept.
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Find f(1), f(2), f(3), f(4), and f(5) if f(n) is defined recursively by f(0) = 3 and for n = 0,1,2,....
(a) f(n+1) = -2f(n)
(b) f(n+1) = 3f(n) +7
(c) f(n+1) = f(n)^2 – 2f(n) – 2
(d) f(n+1) = 3^J(n)/3
The values of function being changed according to the recursive formulae a) f(1) = -6, f(2) = 12, f(3) = -24, f(4) = 48, and f(5) = -96, b) f(1) = 16, f(2) = 55, f(3) = 172, f(4) = 523, and f(5) = 1576, c) f(1) = 1, f(2) = -3, f(3) = 13, f(4) = 141, and f(5) = 19597.
Let's find the values of f(1), f(2), f(3), f(4), and f(5) for each of the given recursive definitions:
(a) f(n+1) = -2f(n)
Using this recursive formula, we can calculate the values as follows:
f(1) = -2f(0) = -2(3) = -6
f(2) = -2f(1) = -2(-6) = 12
f(3) = -2f(2) = -2(12) = -24
f(4) = -2f(3) = -2(-24) = 48
f(5) = -2f(4) = -2(48) = -96
Therefore, f(1) = -6, f(2) = 12, f(3) = -24, f(4) = 48, and f(5) = -96.
(b) f(n+1) = 3f(n) + 7
Using this recursive formula, we can calculate the values as follows:
f(1) = 3f(0) + 7 = 3(3) + 7 = 9 + 7 = 16
f(2) = 3f(1) + 7 = 3(16) + 7 = 48 + 7 = 55
f(3) = 3f(2) + 7 = 3(55) + 7 = 165 + 7 = 172
f(4) = 3f(3) + 7 = 3(172) + 7 = 516 + 7 = 523
f(5) = 3f(4) + 7 = 3(523) + 7 = 1569 + 7 = 1576
Therefore, f(1) = 16, f(2) = 55, f(3) = 172, f(4) = 523, and f(5) = 1576.
(c) f(n+1) = f(n)² – 2f(n) – 2
Using this recursive formula, we can calculate the values as follows:
f(1) = f(0)² - 2f(0) - 2 = 3² - 2(3) - 2 = 9 - 6 - 2 = 1
f(2) = f(1)² - 2f(1) - 2 = 1² - 2(1) - 2 = 1 - 2 - 2 = -3
f(3) = f(2)² - 2f(2) - 2 = (-3)² - 2(-3) - 2 = 9 + 6 - 2 = 13
f(4) = f(3)² - 2f(3) - 2 = 13² - 2(13) - 2 = 169 - 26 - 2 = 141
f(5) = f(4)² - 2f(4) - 2 = 141² - 2(141) - 2 = 19881 - 282 - 2 = 19597
Therefore, f(1) = 1, f(2) = -3, f(3) = 13, f(4) = 141, and f(5) = 19597.
Therefore, The values of function being changed according to thr recursive formulae a) f(1) = -6, f(2) = 12, f(3) = -24, f(4) = 48, and f(5) = -96, b) f(1) = 16, f(2) = 55, f(3) = 172, f(4) = 523, and f(5) = 1576, c) f(1) = 1, f(2) = -3, f(3) = 13, f(4) = 141, and f(5) = 19597.
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What two numbers will give me 16 multiplied and -10 added together?
Answer:
-2,-8
Step-by-step explanation:
-2-8 = -10
-2*-8= 16
Answer:
-2 and -8
Step-by-step explanation:
1. First, let's find the factors of 16: 1, 2, 4, 8, 16.
This means that the factors of 16 (which are negative) are -1, -2, -4, -8, -162. Now, we have to find with factors add up to -10.
\(1 + 16 = 17\) \(2 + 8 = 10\) \(4 + 4 = 8\) \(-1 - 16 = -17\) \(-2 - 8 = -10\)3. Great! Now that we found the two numbers that add to -10 and multiply to 16, the numbers are -2 and -8.