Answer:
No solution.
Step-by-step explanation:
When two lines have the same slope but different y-intercepts, they are parallel. Parallel lines never intersect, and therefore there is no solution.
I don't know the answer help me please
write as a power function. The energy, e, produced in a nuclear reaction is proportional to the mass, m, with a constant of variation being c^2, the square of the speed of light
Polynomial is an expression that consists of indeterminates(variable) and coefficients. The power function of the energy is e=mc².
What are polynomials?Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
The power function is a polynomial. Given the energy, e, produced in a nuclear reaction is proportional to the mass, m. Therefore, we can write,
e ∝ m
To remove proportionality we need to add a constant of variation which is c², the square of the speed of light
e = m c²
Hence, the power function of the energy is e=mc².
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I need this problem solved
Answer:
5
Step-by-step explanation:
geometry please help
Answer: 31
Step-by-step explanation:
Assuming this is a rhombus, then the diagonals are perpendicular, meaning angle MQN measures 90 degrees.
Now, if we consider triangle MNQ, we know that angles in a triangle add to 180 degrees, meaning NMQ measures 31 degrees.
A nuclear power plant has two independent safety systems. The probability the first will not operate properly in an emergency P (A) is 0.01, and the probability the second will not operate P (B) in an emergency is 0.03. What is the probability that in an emergency both of the safety systems will not operate?
Step-by-step explanation:
they are independent systems, so in case of an emergency both systems will activate.
this is like rolling 2 dice and asking for the probability that both will show 1.
the probability that both will fail is the product of the individual probabilities for failure :
0.01 × 0.03 = 0.0003
so, the third answer option is correct.
FYI - the probability for 2 dice to both roll 1 is
1/6 × 1/6 = 1/36
prove that 6(n+6)-(2n+3) is odd number for all n£N
Answer:
[tex]\begin{aligned}6(n+6)-(2n+3) & = 6n+36-2n-3\\& = 4n+33\\& = 4n + 32 + 1\\& = 2(2n+16) + 1\end{aligned}[/tex]
Any number multiplied by 2 is even, therefore 2(2n + 16) is even.
If 2(2n + 16) is even, then adding 1 to this makes it odd.
Thus proving that the given expression is an odd number for all [tex]n \in \mathbb{N}[/tex]
The measure of an angle is 153°. What is the measure of its supplementary angle?
Answer:
27
Step-by-step explanation:
Supplementary angles add up to 180 degrees
So to find the measure of an angle supplementary to a given angle, we simply subtract the given angle from 180
The given angle here has a measure of 153 degrees
So the angle's supplement has a measure of 180 - 153 = 27 degrees.
please help only if u know
Answer
100
Step-by-step explanation:
bxh is the formula for area of the triangle (base_
so 5x4=20
20x5 (height) = 100
Answer:
80 cm
Step-by-step explanation:
formula
b x h x .5
b= the area of the base
*please help me out if you know how to solve, last person I asked just put a random awnser for point, the problem is bellow and there is a chart in the picture.*
6. In both Mr. Jacquez's Math 2 classes,
Period 2 and Period 3 were given the same test. The table below shows the results from the two classes.
a. Find the probability that a randomly selected student from Period 2's class failed the test.
b. Find the probability that a randomly selected student who failed the test is from Period 3's class
For both of these, we will divide the wanted outcome by the number of possible outcomes. We will end up with a decimal. A decimal multiplied by 100 becomes a percent.
[a] 50%
[tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{\text{student failed}}{\text{Period 2's class}} =\frac{12}{24} =0.5,\:0.5*100=50\%[/tex]
[b] 52%
[tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{\text{student failed from Period 3}}{\text{fails from both classes}} =\frac{13}{25} =0.52,[/tex]
[tex]\displaystyle 0.52*100=52\%[/tex]
75, 73, 76, 78, 79, 78, 79, 81, 80, 82, 81, 84 what is the mean
Answer:
8
Step-by-step explanation:
A house is valued at £240 000.
Its value is predicted to rise by 2.8% per
annum.
Calculate its predicted value after 2 years.
The formula for calculating the amount predicted at t years is expressed as:
A = P(1+r)^t. The predicted value after 2 years is £253.62
Exponential functionThe formula for calculating the amount predicted at t years is expressed as:
A = P(1+r)^t
where
P is the principalr is the ratet is the timeSubstitute the given parameters
A = 240(1+0.028)^2
A =240 (1.028)^2
A = £253.62
Hence the predicted value after 2 years is £253.62
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Farmer Bob has pigs and chickens. He has 37 animals, and there are 124 legs among them altogether. How
many chickens does Bob have?
WILL GIVE BRAINLIEST!!!
If the measure of arc AB = 58 and the measure of arc CD = 18, what is the value of x? The figure is not drawn to scale.
The correct answer is option D. which is the angle x will be 38 degrees.
What is the angle of arc theorem?The measure of the angle created when two chords collide inside a circle is one-half the sum of the arcs intercepted by the angle and its vertical angle.
Here we have a measure of arc AB = 58 and the measure of arc CD = 18, So what is the value of x?
The value of x will be calculated by using the angle of arc theorem.
x = Sum of the arcs / 2
x = ( 58 + 18 ) / 2
x = ( 38 degrees )
Therefore the correct answer is option D. which is the angle x will be 38 degrees.
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After completing a fraction division problem, Clarice used multiplication to check her answer.
Division: 7 and one-half divided by 1 and one-half = 5. Check: 5 times 1 and one-half = 5 and one-half.
Could Clarice verify her answer?
Answer:
Step-by-step explanation:
After completing a fraction division problem, Clarice used multiplication to check her answer. Division: 7 and one-half divided by 1 and one-half = 5. Check: 5 times 1 and one-half = 5 and one-half. Could Clarice verify her answer? Explain.After completing a fraction division problem, Clarice used multiplication to check her answer. Division: 7 and one-half divided by 1 and one-half = 5. Check: 5 times 1 and one-half = 5 and one-half. Could Clarice verify her answer? Explain.Why can you use fraction multiplication to check the answer to a fraction division problem? How do you use multiplication to check a division problem?
A survey of 800 college seniors resulted in the following crosstabulation regarding their undergraduate major and whether or not they plan to go to graduate school. Undergraduate Major Graduate School Business Engineering Others Total Yes 70 84 126 280 No 182 208 130 520 Total 252 292 256 800 Of those students who are majoring in business, what percentage plans to go to graduate school?a. 40.4.b. 10.5.c. 28.8.d. 30.0.
Using the percentage concept, it is found that of those students who are majoring in business, the percentage plans to go to graduate school is given by:
c. 28.8.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
In this problem, there are 252 students majoring is business, and of those, 70 plan to go to graduate school, hence the percentage is given by:
[tex]P = \frac{70}{252} \times 100\% = 28.8\%[/tex]
Hence option C is correct.
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Harry Potter decides it’s too cold for him to stay in Hogwarts and wants to fly straight south. He is not sure where to point his broomstick, considering that the wind is pretty strong at 21 km/h [S 55° E]. His broomstick has an airspeed of 18 m/s. Determine the heading he should have and the velocity of the broom with respect to the ground.
Harry Potter decides it’s too cold for him to stay in Hogwarts and wants to fly straight south, the heading he should have and the velocity of the broom with respect to the ground are mathematically given as
VR = 20, 699 m/s South
What is the heading he should have and the velocity of the broom with respect to the ground?Divide horizontal and vertical components of Vs and Vw vectors
For Vs
Vs = Vs cos∅ [s] + Vs Sin∅ [w]
Vs = 18 Co58 [s] + 18 sin∅ [w]
For Vw
Vw = Vw Cos 55' [s] + Vw Sin 55 [E]
5.8333 x Cos 55 (s) + 5-8333 Sin 55 [E]
Vw = 3.3458 [s] + 4.7783 [E]
Resultant velocity VR = Vs + Vw
VR= 18 Coso (s) + 18 sine [w] +3.3458 (5) +42783 (E)
VR = (186030 +3.3458) [5] + (18sing - 4.7183)6]
(Harry Potter) flies south
18sin∅ - 4.7783 18=0
Hence
Sin∅ = 4.7783 18/18
∅ =sin{-1}(4.7783 18/18)
∅ = 15.3943
Harry Potter flies in the direction south to ∅ = $15.3943w]
Hence velocity
VR = (18 cos∅ + 35452) s + 0
VR = (17.3541 +3-3458) s
VR = 20, 69999 m/s South
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Pls help asap and show your work I’ll give brainliest
Answer: 3360 ft squared
Step-by-step explanation:
Short side : 30 x 14 = 420
Long side 30 x 3 x 14 = 1260
420 + 420 + 1260 + 1260 = 3360
pls give brainliest
have a nice day
Area of shorter side
BH30(14)420ft²Area of longer sides
420(3)1260ft²Total Lateral surface area
2(1260+420)2(1680)3380ft²Renark:-
The general LSA formula of cuboid can also be used to solve
LSA=2×H(L+B)The sum of ages of fred and pat is 40 years. in four years the age of pat will be three times the age now. how old is each boy?
Find the distance between the two points. (-1, 6). (2.8)
Round to the nearest hundredth
The distance between the two points. (-1, 6). (2.8) is 3.61 units
How to determine the distance?The points are given as: (-1,6) and (2,8)
The distance is calculated using:
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]
This gives
[tex]d = \sqrt{(-1 -2)^2 + (6 -8)^2}[/tex]
Evaluate the sum of squares
[tex]d = \sqrt{13}[/tex]
Evaluate the exponent
d = 3.61
Hence, the distance between the two points. (-1, 6). (2.8) is 3.61 units
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PLEAASSE HELP! DUE TODAY
Answer:
1/4
Step-by-step explanation:
1 hour 15 minutes = 75 minutes
25 mins + 75mins = 100 minutes
25/100 minutes x 100 = 25%
25% = 1/4 of the time was spent reading.
Which is the best estimate of -14 1/9 (-2 9/10)?
Answer:
45.43
Step-by-step explanation:
12. The sum of two consecutive integers is 59. Write an
equation that models this situation and find the
values of the two integers.
Step-by-step explanation:
Equation=>x+x+1=59
2x=58
x=29
the numbers are 29 and 30
Yolanda invests $30,000 in an account that offers a compound interest rate of 7.9% per year. Which of the following is the correct equation for how much Yolanda will have in year 10? O A. A(10) = 30,000 • (1 + 0.079) 10 O B. A(10) = 30,000 - (1 + 0.79)10 - 1 O C. A(10) = 30,000 - (1 + 0.079)10 - 1 O D. A(10) = 30,000 - (1 + 0.079) 10 + 1
How do I answer this question
Answer:
9³
Step-by-step explanation:
We know that,
[tex]a^b[/tex] ÷ [tex]a^c[/tex] = [tex]a^b^-^c[/tex]
By following the above, let us solve the given question.
Let us solve now.
⇒ 9⁵ ÷ 9²
⇒ 9⁵⁻²
⇒ 9³
Leigh plans to estimate the area of the figure on the grid by identifying the full and partial squares that make up the figure.
On a coordinate plane, a figure contains 3 full squares and 12 partial squares.
If Leigh uses the strategy, which statement best describes the figure?
3 full squares and 12 partial squares
3 full squares and 15 partial squares
4 full squares and 7 partial squares
4 full squares and 13 partial squares
If Leigh uses the strategy, the statement that describes the figure is A. 3 full squares and 12 partial squares.
How to depict the information?From the information, Leigh plans to estimate the area of the figure on the grid by identifying the full and partial squares that make up the figure.
It was stated that on a coordinate plane, a figure contains 3 full squares and 12 partial squares.
Therefore, the correct option is A.
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The function f(x) is shown below.
x
f(x)
–6
1
–3
2
2
5
5
3
8
0
If g(x) is the inverse of f(x), what is the value of f(g(2))?
–6
The value of f(g(2)) is 2.
What is function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
The given table is
x f(x)
–6 1
–3 2
2 5
5 3
8 0
If the coordinates of a function f(x) is defined as (x,y)
then, the coordinates of inverse of f(x) is defined as (y,x).
f(g(y))= f(x) [ g(x)= (y,x)]
f(g(y))= y
So, If g(x) is the inverse of f(x), the f(g(y)) = y.
Also, we know g(x) is the inverse of f(x), then f(g(2)) = 2.
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3 1/7 as an improper fraction
Answer:
Its is already an impoper fraction.
In a class test(3+) marks are given for every correct answer and (-2) marks are given for every incorrect answer (-2) marks are given for every incorrect answer and no marks for not attempting any question. (i) radhika scored 20 marks. if she got 12 correct answers, how many questions has she attempted incorrectly? (ii) mohini scores -5 marks in this test, though she has got 7 correct answers. how many questions has she attempted incorrectly?
The number of incorrect answers made by Radhika is 8; the number of incorrect answers made by Mohini = 13
How to solve algebra word problems?
We are given;
Marks obtained for 1 right answer = +3
Marks obtained for 1 wrong answer = −2
(i) Marks scored by Radhika = 20
Marks obtained for 12 correct answers = 12 × 3 = 36
Marks obtained for incorrect answers = Total score − Marks obtained for 12 correct answers = 20 − 36 = −16
Marks obtained for 1 wrong answer = −2
Thus, number of incorrect answers = (−16) ÷(−2) = 8
Therefore, the number of incorrect answers made by Radhika = 8
(ii) Marks scored by Mohini = −5
Marks obtained for 7 correct answers = 7 × 3 = 21
Marks obtained for incorrect answers = Total score − Marks obtained for 12 correct answers = − 5 − 21 = −26
Marks obtained for 1 wrong answer = −2
Thus, number of incorrect answers = (−26) ÷ (−2) = 13
So, the number of incorrect answers made by Mohini = 13
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Can someone help with this!
In the given image, [tex]a_{23}[/tex] is 5. The correct option is the first option 5
Matrix notationFrom the question, we are to determine which entry in the given matrix represents [tex]a_{23}[/tex]
NOTE: For any entry denoted as [tex]a_{mn}[/tex], it represents the entry in the m-th row and n-th column.
Thus,
[tex]a_{23}[/tex] represents the entry in the 2nd row and 3rd column.
In the given image, the entry in the 2nd row and 3rd column is 5.
Hence, in the given image, [tex]a_{23}[/tex] is 5. The correct option is the first option 5
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Simplify the following expression: 4-3 x 4-8.
Answer: -3x^4-4
Step-by-step explanation: -3x^4+4-8 > =-3x^4-4