Question:
Simplify:
[tex](12a^2b-8a+5a^2b-2ab)-(4ab^2-6ab+2a+3ab)[/tex]
Answer:
[tex]17a^2b - 4ab^2 - 10a + ab[/tex]
Step-by-step explanation:
Given
[tex](12a^2b-8a+5a^2b-2ab)-(4ab^2-6ab+2a+3ab)[/tex]
Required
Simplify
[tex](12a^2b-8a+5a^2b-2ab)-(4ab^2-6ab+2a+3ab)[/tex]
Open brackets
[tex]12a^2b-8a+5a^2b-2ab-4ab^2+6ab-2a-3ab[/tex]
Collect Like Terms
[tex]12a^2b + 5a^2b - 4ab^2 - 8a - 2a + 6ab - 3ab- 2ab[/tex]
[tex]17a^2b - 4ab^2 - 10a + ab[/tex]
g Find the required probabilities using the exponential density function f(t) = 1 λ e−t/λ, [0, [infinity]). The time t (in years) until failure of a component in a machine is exponentially distributed with λ = 3.5. Find the probabilities that the lifetime of a given component will be less than 1 year, more than 2 years but less than 4 years, and at least 5 years. (Round your answers to three decimal places.) (a) less than 1 year (b) more than 2 years but less than 4 years (c) at least 5 years
Answer:
(a) less than 1 year =0.751488
(b) more than 2 years but less than 4 years = 0.2458
(c) at least 5 years= 0.760331
Step-by-step explanation:
f(t) = 1 λ e−t/λ, [0, [infinity])
First we calculate the probability for an exponential random variable X with parameter λ
P (X= t) = ∫ 1 λ e−t/λ, dt
P (x=t) = e−t/λ,
λ = 3.5
Now P (X< 1 ) = ∫ 1 λ e−t/λ, dt [the limits are (-∞ to 1)]
= e−1/3.5= 0.751488
P ( 2<X< 4 ) = ∫ 1 λ e−t/λ, dt [ the limits are (2 to 4)]
=e−2/3.5- e−4/3.5
= e-0.57142-e-1.142857
= 0.5647-0.31890
= 0.2458
P (at least 5) = 1- P (x=5)
= 1-∫ 1 λ e−t/λ, dt [ the limits are (∞ to 5)]
= 1- e−5/3.5
= 1 - e-1.4285
= 1-0.239
= 0.760331
What is the slope of the graph of y = 14x + 19?
- {(-2, 6), (2.0), (3,6), (4, -1), (5,3)} is it a function
Cube the following number
A. 1
B. 2
C. 4
D. 8
Answer: 1, 8, 64, 512
Step-by-step explanation:
1^3 = 1 * 1 * 1 = 1
2^3 = 2 * 2 * 2 = 8
4^3 = 4 * 4 * 4 = 64
8^3 = 8 * 8 * 8 = 512
5) The sales tax in the town where Amanda lives is 5%. Amanda paid $35
in sales tax on a new stereo. What was the price of the stereo?*
O a. $14.29
O b. $1.75
O c. $700
O d. $3,500
Answer:
$700
Step-by-step explanation:
Given that,
The sales tax in the town where Amanda lives is 5%.
Amanda paid $35 in sales tax on a new stereo.
We need to find the price of the stereo. Let it is x. Using the formula for percentage as follows :
[tex]\%=\dfrac{\text{sales tax}}{\text{total}}\times 100\\\\5\%=\dfrac{35}{x}\times 100\%\\\\x=\dfrac{35\times 100\%}{5\%}\\\\=\$700[/tex]
So, the price of the stereo is $700. Hence, the correct option is(c).
OMG HERE I AM ASKING THIS QUESTION FOR TH 3THIRD TIME SMH JUST ANSWER IT!!!!!!
Answer:
4 and 5 unsolved
Step-by-step explanation:
Answer:17/20
Step-by-step explanation: multiply the denominators by each other and then multiply the numerators by the opposite denominators and then add them both together- 4 x 5=20 1 x 5=5 3 x 4=12
5+12=17
17/20
simplest form
Question 1 -What number in the equation below would be the coefficient?
- 4x
7 = 5
4
-7
O 5
O none of the above
Answer:
4
Step-by-step explanation:
coefficient is the number next to the variable.
An envelope is 60 centimeters wide. About how many inches wide is the envelope? (1 inch ≈ 2.5 centimeters)
Answer:
60/2.5 = 24 cm
Step-by-step explanation:
if you are satisfied with the results then plz make me genius
Answer:
The answer is 24 inches.
Step-by-step explanation:
Given:
1 inch = 2.5 cm
or, 1 cm = 1/2.5 inch............... eqn (i)
Now,
Wideness of envelope = 60 cm
= 60 (1/2.5) inches [From eqn (i)]
= 60/2.5 inches
= 24 inches Ans
Which of the following expressions is the inverse of the function y = 3x + 4?
Answer:
Reverse the x and y:
x = 3y + 4.
Now subtract 4 from both sides:
x - 4 = 3y
Divide both sides by 3:
1/3 x - 4/3 = y
HELP!!!!!!!!!!
The perimeter of a rectangle is 44 inches. If the width of the rectangle is 10 inches, what is the length?
A.
12 inches
B.
22 inches
C.
34 inches
D.
24 inches
P .= 2L + 2W at W= 10, P= 44
44 = 2L + 2 (10)
44 = 2L + 20
44-20 = 2L
24 = 2L
L= 24/2
L= 12cm
Which statement represents a battery with no cellphone battery life .
1. Jennifer’s iPhone charges 3% and she used 2% of the battery life .
2. Jeff’s iPhone charged 42% and then he charged it another 42%
3. Rianny’s iPhone was charged 80% and she used 80% of the battery life .
4. Megan used 15% of her iPhone’s battery life and then used another 15% of the battery life .
Answers ASAP !!!!!
Answer:
The correct answer is choice 3
Step-by-step explanation:
80 - 80 = 0
bruh
Answer:the answer would be C
Step-by-step explanation:
What is the slope of
y = -5x + 14
Answer:
0
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
y=-5x+14 is in the form of y=mx+b.
m is the slope and b is the y-intercept.
So m = -5 and -5 is the slope
The governor of state A earns $48,980 more than the governor of state B. If the total of their salaries is $289,660, find the salaries of each
Answer:
Governor of State B: $120,340; Governor of State A: $169,320
Step-by-step explanation:
For the sake of this problem, let's set the salary of State B's governor as x. That would make the salary of State A's governor equal to x+48980. The following lists out how to solve this problem.
Governor B salary + Governor A salary = $48980
x+x+48980=289660
2x+48980=289660
2x=240680
x=120340
120340+48980=169320
For the frieze pattern to the right , describe all transformations that map the pattern onto itself.
Select all that apply
A. Reflection across one or more horizontal lines
B. Reflection across one or more vertical lines
C. Glide reflection
D. Rotation
E. Translation
All transformations that map the pattern onto itself are; a horizontal translation and a reflection across a vertical line.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x).
All these translations have predetermined rules that we apply to the figures.
The congruence of a triangle can be obtain through Rotation; Translation; or Reflection.
For this particular strip pattern onto itself, can be obtained by a horizontal translation and a reflection across a vertical line
All transformations that map the pattern onto itself are; a horizontal translation and a reflection across a vertical line.
Learn more about reflection here;
https://brainly.com/question/28186407
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WILL GIVE POINTS!! Must answer!
What is the range in interval notation?
Answer:I think it’s option 2, light blue
Step-by-step explanation:
The y-intercept of 2x - y = 6 is -6.
O False
True
Answer:
It is true
Step-by-step explanation:
Convert to slope-intercept form:
2x-y=6
-y=6-2x
y=-6+2x
y=2x-6
Since y=mx+b is the form we want, then b=-6, making the statement true.
Answer:
true
Step-by-step explanation:
you switch the 2x to the other side to get -y = 2x + 6
then you multiply everything by -1 to get y = -2x-6
-6 is the y int
is Water is stored in response to changing demand a cause or effect
the answer is effect
Answer:
this a effect you can change the change the water
what is 62 ÷ 3186 I need to know?
Answer:
0.02
Step-by-step explanation:
CAN SOMEBODY HELP ME ASAP
For Cynthia's fourth lab report, she calculated the ratio of velocities before and after the impact of a basketball bouncing on a court. This measurement is called the coefficient of restitution. She got the following four values.
0.72
0.75
0.73
0.76
The accepted value is 0.77.
Cynthia's percent error was [blank]−−−−−−%.
Enter your answer as the number that correctly fills in the blank, rounded to two decimal places, like this: 42.53
Answer:
average of all four is 0.74 (add all 4 then divide by 4). take 0.77 minus 0.74. 0.03/0.77 times 100 = 3.8961% to two decimal places would be 3.90%
what additional information could be used to prove ABC MQR using SAS?
Answer:
To prove that ΔABC ≅ ΔMQR using SAS, we show that two sides with the intersection angle are congruent.
From the diagram, it is shown that CA is congruent to RM.
From the first option, given that m∠A = 64° and AB = MQ = 31 cm, then we have CA = RM, AB = MQ, and CAB = RMQ (i.e. m∠A = m∠M = 64°).
This shows that the first option is correct.
From the second option, given that CB = MQ = 29 cm, then we have CA = RM, CB = MQ, but ACB is not congruent to RMQ.
Thus the second option in not correct.
From the third option, m∠Q = 56° and CB ≅ RQ, then we have CA = RM, CB = RQ, ACB = 60°, but we do not know the value of MRQ.
Thus the third option is not correct.
From the fourth option, m∠R = 60° and AB ≅ MQ, then we have CA = RM, AB = MQ, RMQ = 64°, but we do not know the value of CAB.
Thus the fourth option is not correct.
From the fifth option, AB = QR = 31 cm, then we have CA = RM, AB = QR, but we do not know the value of CAB or MRQ.
Thus, the fifth option is not correct.
Therefore, the additional information that could be used to prove ΔABC ≅ ΔMQR using SAS is m∠A = 64° and AB = MQ = 31 cm
The additional information could be used to prove ABC≅MQR using SAS will be m∠R = 60° and AB≅MQ. Option D is correct.
What are the conditions of the congruent triangle?Triangles that are equivalent in terms of size and form are known as congruent triangles.
The conditions for ABC≅MQR are;
m∠R = 60°
AB≅MQ
Using the new data, it is possible to demonstrate that m∠R = 60° and AB is equal to the MQ will result in ABC≅MQR using SAS.
Hence option D is correct.
To learn more about the congruent triangle refer;
https://brainly.com/question/12413243
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Help me please I don’t know it
If each of two complementary angles has the same measure, then each angle will equal _____.
22.5°
90°
180°
45°
Answer:
45
Step-by-step explanation:
The answer to this questiob
Answer: slope = 3/4
y intercept = 2
equation : y= 3/4x+2
Step-by-step explanation:
I WILL GIVE BRAINLIEST TO RIGHT ANSWER: The length of a bridge on a map is 1.5 cm. What is the actual length of the bridge in meters if the map is drawn at a scale of 1 : 40,000.
Answer: 600 m
Step-by-step explanation:
Imagine we have measured a distance as 1.5 cm on this map, and we want to find out how far this is in real life.
To work out the distance in real life, we need to multiply this length by 40,000.
This gives 1.5 cm × 40,000 = 60,000 cm which is 600 m or 0.6 km.
Sol b : Alternatively, we could have just remembered that each 1 cm on the map is 0.4 km in real life.
Hence, 1.5 cm on the map must be 1.5 × 0.4 km = 0.6 km in real life.
Nolan is a songwriter who collects royalties on his songs whenever they are played in
a commercial or a movie. Nolan will earn $50 every time one of his songs is played in
a commercial and he will earn $100 every time one of his songs is played in a movie.
How much would Nolan earn if his songs were played in 10 commercials and 5
movies? How much would Nolan earn if his songs were played in x commercials and
y movies?
Answer:
500$+500$=1000$
Step-by-step explanation:
for songs=50×10=500$
for movie=5×100=500$
total=500$+500$=1000$
50x+100y
hope it helps:)
When you expand 2 (6x + 12), you get an answer of 12x + 24. How many other ways can
you use brackets so you get the answer of 12x + 24 when you expand them?
Answer:
There is no other way you can expand the brackets
Step-by-step explanation:
What’s the answer to this radical function
Step-by-step explanation:
We have,
[tex]f(x) = - 2 \sqrt[3]{x + 7} [/tex]
Taking limit,
[tex] \lim _{x \rarr \infty } f(x) \\ = \lim _{x \rarr \infty } - 2 \sqrt[3]{x + 7} [/tex]
If x approaches to positive infinity,
this implies f(x) approaches to negative infinity
Solve the equation
5x - ( 4x - 1) = 2
a. 1/9
b. - 1
c. - 1/9
d. 1
from the choices provided
Answer:
5x-4x+1=2
5x-4x=2-1
x=1ans
Answer:
D. 1
Step-by-step explanation:
i need also need help with this
Answer:
umm you need help with what
Step-by-step explanation:
there is no question
Genna purchased a pair of shoes on a web site.The original price of the shoes was $120. She used the coupon code to receive a 20% discount. The web applied a 15% service fee to the discounted price. Genna's shoes were less than the original price by what percent
Answer:
$116
Step-by-step explanation:
the total discount is 20-15 = 5%
the dicount = (5*120)/100 = $4
So she bought it with price = 120 - 4 = $116
Answer: 8%
Step-by-step explanation:
1. Apply the discount to the original price
20% of 120 (0.2*120) is 24, thus Genna saves 24 dollars
120-24 = 96 (the new price of the shoes, with the coupon applied)
2. Apply the service fee to the discounted price
15% of 96 (0.15*96) = 14.4
This number is the amount of money being added to the discounted price, as it is an additional fee
96 + 14.4 = 110.4
3. Find the percent discount Genna's shoes are using the new price.
1 - (New price/Old price) = Percent discount
110.4/120 = 0.92
1 - 0.92 = 0.08
The shoes are 92% of the original price. Thus, the shoes are 8% less than the original price.