Answer:
2/4 i think but im not sure
Find the inverse of \(\Large h(x) = \frac {3}{2}x + 1 \)
Answer:
\(h(x) = \frac {3}{2}x + 1 \\ { \tt{let \: the \: inverse \: be \: { \bold{m}}}} \\ { \tt{m = \frac{1}{ \frac{3}{2}x + 1 } }} \\ \\ { \tt{m = \frac{2}{3x + 2} }} \\ \\ { \tt{m(3x + 2) = 2}} \\ \\ { \tt{3x + 2 = \frac{2}{m} }} \\ \\ { \tt{x = \frac{2 - 2m}{3m} }} \\ \\ { \tt{x = \frac{2}{3m}(1 - m) }} \\ \\ { \bf{h {}^{ - 1} (x) = \frac{2}{3x}(1 - x) }}\)
Find the distance between the two points. Round your answer to the
nearest tenth.
YA
(-3,5)
(7,1)
Answer:
The answer is
10.8 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ \)where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-3,5) and (7,1)
The distance between them is
\(d = \sqrt{( { - 3 - 7})^{2} + ({5 - 1})^{2} } \\ = \sqrt{ ({ - 10})^{2} + {4}^{2} } \\ = \sqrt{100 + 16} \\ = \sqrt{116} \\ = 2 \sqrt{29} \\ \: \: \: \: \: \: \: \: = 10.770329\)We have the final answer as
10.8 units to the nearest tenthHope this helps you
Julie multiplies 6.27 by 7 and claims the product is 438.9. Explain without multiplying how you know Julie’s answer is not correct. Find the correct answer.
Answer:
SHe put the decimal point in the wrong spot, it's suppose to be 43.89
Step-by-step explanation:
Answer:
no because 438.9 divided by seven is 62.7
Step-by-step ex
Find the derivative of log e^((1+tan x)) w.r.t x
If you subtract 3 from twice a number,the result is 25.find the number
14
This should be right!
Craig forgot to record the amount of the check he wrote to the hardware store. The statement from his bank shows an ending balance
of $521.60. What is the amount of the check Craig wrote to the hardware store? Define a variable for the unknown quantity. Write and
solve an equation to answer the question.
Answer: Let's call the amount of the check Craig wrote to the hardware store "x".
According to the problem, the statement from Craig's bank shows an ending balance of $521.60. This means that his balance before writing the check was $521.60 + x.
So, we can write the equation:
$521.60 + x = $521.60
Subtracting $521.60 from both sides:
x = 0
This means that Craig's check was for $0.
Step-by-step explanation:
A section of land measuring 2 2/5 acres is divided equally among three people. How many acres will each person receive?
A section of land measuring 2 2/5 acres
\(\text{Total section of land=2}\frac{2}{5}\)Simplify the mixed fraction:
\(\begin{gathered} 2\frac{2}{5}=\frac{2\times5+2}{5} \\ 2\frac{2}{5}=\frac{12}{5} \end{gathered}\)Total section of land = 12/5 acres
The area is divided into three parts equally so,
\(\begin{gathered} \text{Area that each person will get =}\frac{\frac{12}{5}}{3} \\ \text{Area that each person will get}=\frac{12}{5}\times\frac{1}{3} \\ \text{Area that each person will get}=\frac{4}{5}\text{ acres} \end{gathered}\)Each person will get 4/5 acres
Answer: 4/5 acres
65liters = how many quarts
Answer:
65 kg of water is 65k kg of grams
Catie is starting a babysitting business. She spent $26 to make signs to advertise. She charges an initial fee of $5 and then $3 for each hour of service. Write and solve an inequality to find the number of hours she will have to babysit to make a profit. Interpret the solution.
Catie will have to babysit for more than 7 hours to make a profit which has been obtained from the inequality 5 + 3x > 26.
What is an inequality?
An inequality is an algebraic inequality that has one or more unknown values (often referred to as unknowns) in addition to some known information and two members related by one of the following signs >, <, ≤ and ≥.
We are given that Catie spent $26 to make signs to advertise and charges an initial fee of $5 and then $3 for each hour of service.
Let the number of hours be 'x'.
Now, in order to make profit, we get the inequality as
5 + 3x > 26
Now, on solving the inequality, we get
⇒ 3x > 21
⇒ x > 7
From the solution, we interpret that for making profit, she will have to babysit for more than 7 hours.
Hence, Catie will have to babysit for more than 7 hours to make a profit.
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A building in a city has a rectangular base. The length of the base measures 75 ft less than three times the width. The
perimeter of this base is 810 ft. What are the dimensions of the base?
ed
The width of the base is
ft.
Answer:
length = 285 ft
width = 120 ft
Step-by-step explanation:
Let the width = w.
length = 3w - 75
perimeter = 2(length + width)
810 = 2(3w - 75 + w)
405 = 4w - 75
480 = 4w
120 = w
w = 120
length = 3w - 75 = 3(120) - 75 = 285
9. Six people arrive at a party (A, B, C, D, E, F). They arrive at different times. In how
many ways can they arrive? Find the probability that A arrives first and F arrives last.
Answer: the answer is your mom
Step-by-step explanation:
Answer:
Step-by-step explanation: 720 ways overall , First and Last set = 24 ways, Probability of First and Last happening =130
can anyone find out what this is?
Answer:
Expression D
Step-by-step explanation:
all other answers are above 15! hope this helps :D
PLEASE HELP!! DESPERATE
The distribution of blood types among white Americans is approximately as follows:
A= 37%
B= 13%
O= 44%
AB= 6%
Suppose that blood types of couple are independent. Suppose that a couple is chosen at random.
a) What is the probability that…
i) Partner 1 has type A, and Partner 2 has type B blood?
ii) either one of the couple has type A and the other has type B blood?
iii) at least one of the couple has type O blood?
b) Now consider that a person with type B blood can safely receive blood from a persons with type B or type O blood. What is the probability that the spouse of a person with type B Blood is an acceptable blood donor for them?
PLEASE HELP ME I AM DESPERATE AND I HAVE NOTHING LEFT I NEED HELP
a) i) Since blood types across individuals are independent, we have
Pr[1 = A and 2 = B] = Pr[1 = A] • Pr[2 = B]
where e.g. Pr[1 = A] means "probability that partner 1 has type A blood". According to the given distribution,
Pr[1 = A and 2 = B] = 0.37 • 0.13 = 0.0481 = 4.81%
a) ii) The event that partner 1 has type A and partner 2 has type B is exclusive from the event that partner 1 has type B and partner 2 has type A, and vice versa. In other words, only one of these events can happen, and not both simultaneously. This means the probability of either event occurring is equal to the sum of the probabilities of these events occurring individually. Then
Pr[(1 = A and 2 = B) or (1 = B and 2 = A)]
= Pr[1 = A and 2 = B] + Pr[1 = B and 2 = A]
Both probabilities are the same, and we found it in the previous part. So
Pr[(1 = A and 2 = B) or (1 = B and 2 = A)]
= 0.0481 + 0.0481 = 0.0962 = 9.62%
a) iii) The event that at least one partner has type O occurs if exactly one partner has type O, or both do. That is, "at least one partner with type O" contains 3 possible events,
• 1 = O and 2 = not O
• 1 = not O and 2 = O
• 1 = O and 2 = O
For the first event, by independence, is
Pr[1 = O and 2 = not O] = Pr[1 = O] • Pr[2 = not O]
and by definition of complementary event,
Pr[1 = O and 2 = not O] = Pr[1 = O] • (1 - Pr[2 = O])
From the given distribution, it follows that
Pr[1 = O and 2 = not O] = 0.44 • (1 - 0.44) = 0.2464 = 24.64%
The second event is the same as the first in terms of probability.
For the third event, we have
Pr[1 = O and 2 = O] = Pr[1 = O] • Pr[2 = O] = 0.44² = 0.1936 = 19.36%
Then the total probability of at least one O-type partner is
24.64% + 24.64% + 19.36% = 68.64%
b) Suppose partner 1 is type-B. Then partner 2 is an acceptable donor if they are either type-B or type-O. So we want to find
Pr[1 = O and (2 = B or 2 = O)]
By independence,
= Pr[1 = O] • Pr[2 = B or 2 = O]
By mutual exclusivity,
= Pr[1 = O] • (Pr[2 = B] + Pr[2 = O])
Then from the given distribution,
= 0.44 • (0.13 + 0.44) = 0.2508 = 25.08%
Now suppose partner 2 is type-B. Then partner 1 must be either type-B or type-O. But the math works out the same way, so that the overall probability is
25.08% + 25.08% = 50.16%
Find the sector area.
Answer:
D
Step-by-step explanation:
I am a quadrilateral.
• I have two pairs of parallel sides.
• All my sides are the same length.
Which name describes me the best?
rectangle
parallelogram
trapezoid
square
rhombus
Answer:
those criteria define a square or a rhombus
Step-by-step explanation:
if there was another fact about the angle measures, for example if it said all my angles are equal then it would be a square, not a rhombus
write y+4=-2(x-1) in slope intercept form
Answer:
y=2x-6
Step-by-step explanation:
y+4=-2(x-1)
Since the slope intercept form is in the form of:
y=mx+c
Making above equation in this form.
y+4=-2(x-1)
opening bracket
y+4=2x-2
subtracting both side by 4.
y+4-4=2x-2-4
y=2x-6
This equation is the slope intercept form.
2. How many radians are in 27"?
The answer is 0.471 radians.
FORMULA:
Just do 27° × π/180 = 0.4712rad but then cut off the two.
A population of beetles are growing according to a linear growth model. The initial population (week 0) is p0=6 and the population after 7 weeks is p7=83 find an explicit formula for the beetle population after n weeks.
Answer:
P(n)= p0 + 11(n)
Where p0= population of week 0
P(n) = population of n weeks
n= number of weeks
Step-by-step explanation:
Population of beetles in Week 0= 6
Population of beetles in Week 7= 83
From week 0 to week 7 there are 8 weeks.
But subtracting population of week 0 from population of week 7 gives
= 83-6
= 77
After the subtraction, we have 7 weeks remaining.
Dividing the remaining population by the number of weeks remaining
=77/7
= 11
For n number of weeks, population p of beetles
P(n)= p0 + 11(n)
Where p0= population of week 0
P(n) = population of n weeks
n= number of weeks
Suppose that N(x) = x denotes the number of bags sold by a shop, and the selling price per bag is
given by p(x) = 320 – 8x, for 0 ≤ x ≤ 10. Suppose further that the cost of producing x bags is given
by C(x) = 200x. Find (a) (N ∙ p)(x) and (b) (N ∙ p – C)(x). What do these functions represent?
A. (N • p)(x) = -8x² + 320x
B. (N • p - C)(x) = -8x² + 120x .
Function - a function is a relationship or expression involving one or more variables. It has a set of input and outputs. Each input has only one output. The function is the description of how the inputs relate to the output.
given that -
N(x) = x
p(x) = 320 – 8x for 0 ≤ x ≤ 10
C(x) = 200x
(N ∙ p)(x) =?
(N ∙ p – C)(x) =?
For the question A....
(N ∙ p)(x) = N(p(x))
N(p(x)) = N(320 – 8x)
N(p(x)) = x(320 – 8x)
(N ∙ p)(x) = 320x - 8x²
For the question B....
(N ∙ p – C)(x) = N.((p-c)(x))
N.((p-c)(x)) = N.(p(x) - c(x))
N.((p-c)(x)) = x.(320 – 8x) -(200x)
N.((p-c)(x)) = 320x - 8x² - 200x
N.((p-c)(x)) = -8x² - 120x
Thus , the function represent (N • p)(x) = -8x² + 320x and (N • p - C)(x) = -8x² + 120x . These are the relationship between N , P , C.
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devide 255 in the ratio 3:7:7:10
Answer:5
Step-by-step explanation:
5098
A worker fences in a construction site using four pieces of fencing that have lengths of 20, yards 16, yards, 20 yards, and 16 yards. Name all of the possible four-sided shapes that the worker can enclose with the fencing.
The possible shapes of the fencing are a parallelogram and a rectangle.
Given that, a worker fences in a construction site using four pieces of fencing that have lengths of 20, yards 16, yards, 20 yards, and 16 yards.
We need to tell possible four-sided shapes that the worker can enclose with the fencing.
So, we can see that, the pair of sides are equal,
Which is condition in a parallelogram and a rectangle.
Hence, the possible shapes of the fencing are a parallelogram and a rectangle.
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If your base pay is 10000 your commission rate is 40% you sell 15 cars and you earn 40000 how much does each car cost
Answer: $4,000
Step-by-step explanation:
If the total earnings were $40,000 and the base pay was $10,000, then the commission earned would be $40,000 - $10,000 = $30,000.
Since the commission rate is 40%, we can set up the equation:
40% x Total Sales = Commission Earned
We know that the commission earned is $30,000, and we also know that 15 cars were sold. Therefore, we can solve for the average price of each car:
40% x Total Sales = Commission Earned
40% x (15 x Price per Car) = $30,000
6 x Price per Car = $30,000
Price per Car = $5,000
However, this is just the average price per car. Since the commission is based on the total sales, we need to calculate the actual commission earned on each car:
Commission per Car = 40% x Price per Car
Commission per Car = 40% x $5,000
Commission per Car = $2,000
Therefore, the total earnings of $40,000 divided by the number of cars sold (15) gives the amount earned per car:
Amount earned per Car = Total Earnings / Number of Cars Sold
Amount earned per Car = $40,000 / 15
Amount earned per Car = $4,000
Rose bought 5 books for $22.00.
What was the cost per book?
Answer:
$4.4
Step-by-step explanation:
22/5
I believe the answer is $4.4
Step-by-step explanation:
so if you take $22.00 divided by 5 you would get the answer
Which is the most reasonable measure for the capacity of a bathtub?
O 5 liters
© 159 liters
O 159 milliliters
1000 milliliters
Masks are $5.18 for a box of 50, how much does each mask cost?
Answer: .1036
Step-by-step explanation:
factorize 6x²y-10xy+15x-25
The factors of 6x²y-10xy+15x-25 are (3x-5)(2xy+5).
According to the question,
We have the following expression:
6x²y-10xy+15x-25
In this expression, we can not use any identity to solve it further.
Now, in order to find the factors of this expression, we will find the common terms from the first two terms and one common factor from the last two terms.
Taking 2xy as a common factor from first two terms and 5x as a common factor from the last two terms:
2xy(3x-5)+5(3x-5)
Taking (3x-5) as a common factor from the above expression:
(3x-5) (2xy+5)
Hence, the factors of 6x²y-10xy+15x-25 are (3x-5)(2xy+5).
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Plz, help me this is the photo no link!
Answer:
D.) 0.4m= 8
Step-by-step explanation:
I AsKeD My MaTh tEaChErS FoR uUu :) HaVe a gOoD DaY
Tanya's car will go 45 meters on 7 gallons. Tanya wants to know how fuel efficient the car is. Please help by computing the ratio. (round to 2 decimal places)
Answer:
5 meters : 1 gallon
fuel efficiency of Car is 7 meters per gallons
Step-by-step explanation:
Given Tanya car goes 45 meters on 7 gallons.
In terms of ratio of distance traveled and fuel consumed
45 meters : 7 gallons
since both 45 and 7 are multiple of 7 dividing both side by 7
45/7 meters : 7/7 gallons
5 meters : 1 gallon
Thus, fuel efficiency of Car is 7 meters per gallons.
1 cm= 4 meters model is 75 1/4 cm tall what is the actuall height
Answer:
Step-by-step explanation:Answer:
1cm = 50
2 cm = 50 x 2
3cm = 50 x 3
and the inverse:50m = 50/50 = 1cm
100m = 100/50 = 2cm
150m = 150/50 = 3cm
381m = 381/
What does y= -3x+3 equal
Answer:
Solving for x, the answer is x = 1 - y/3
Hope this helps :D
Answer:
Step-by-step explanation:
y= -3x+3 is the equation of a straight line with slope -3 and y-intercept 3. The x-intercept is found by letting y = 0 and solving for x: x = 1.
y= -3x+3 can be re-written in "standard form:" 3x + y = 3.