Using percentages, we have that Puja Limbu did 80% of the problems and Raju Lama did 73.3%, hence Puja Limbu had the better performance.
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]
The percentage for Puja Limbu is:
[tex]P = \frac{8}{10} \times 100\% = 80\%[/tex]
The percentage for Raju Lama is:
[tex]P = \frac{11}{15} \times 100\% = 73.3\%[/tex]
80% > 73.3%, hence Puja Limbu had the better performance.
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An ice cube is freezing in such a way that the side length s, in inches, is s(t)=1/2t+4, where it is in hours. The surface area of the ice cube is the function A(s) = 6s²_
Part A: Write an equation that gives the volume at t hours after freezing begins. (2 points)
Part B: Find the surface area as a function of time, using composition, and determine its range. (4 points)
Part C: After how many hours will the surface area equal 294 square inches? Show all necessary calculations. (4 points)
Help Please!!
The equation of volume will be V = [(1/2)t + 4]³. The surface area as a function of time will be A(s) = 3/2 t² + 24t + 96. The number of hours when the surface area equal 294 square inches will be 3 1/2 hours.
What is a function?Functions are found all across mathematics and are required for the creation of complex relationships.
Part A: The equation that gives the volume at t hours after freezing begins will be
V = s³
V = [(1/2)t + 4]³
Part B: The surface area as a function of time, using composition, and determine its range will be
A(s) = 6(1/2 t + 4)²
A(s) = 6 (t²/4 + 4t + 16)
A(s) = 3/2 t² + 24t + 96
Part C: The number of hours when the surface area equal 294 square inches will be
294 = 6(1/2 t + 4)²
49 = (1/2 t + 4)²
7 = 1/2 t + 4
1/2 t = 3
t = 3 1/2 hours
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what is the simiplyfly for this -8(-3)
Answer:
24
Step-by-step explanation:
when you open up the parenthesis, you get -8x-3 which is 24.
negative x negative = positive
what is the polar form of -3+ v3i?
So
[tex]\\ \rm\Rrightarrow r=\sqrt{a^2+b^2}[/tex]
[tex]\\ \rm\Rrightarrow r=\sqrt{(-3)^2+(\sqrt{3})^2}[/tex]
[tex]\\ \rm\Rrightarrow r=\sqrt{9+3}[/tex]
[tex]\\ \rm\Rrightarrow r=\sqrt{12}[/tex]
[tex]\\ \rm\Rrightarrow r=2\sqrt{3}[/tex]
Find theta
[tex]\\ \rm\Rrightarrow \theta=tan^{-1}(\dfrac{y}{x})[/tex]
[tex]\\ \rm\Rrightarrow \theta=tan^{-1}(\dfrac{\sqrt{3}}{3})[/tex]
[tex]\\ \rm\Rrightarrow \theta=tan^{-1}(\dfrac{-1}{\sqrt{3}})[/tex]
[tex]\\ \rm\Rrightarrow \theta=\dfrac{5\pi}{6}[/tex]
Polar form
[tex]\\ \rm\Rrightarrow r(cos\theta+isin\theta)[/tex]
[tex]\\ \rm\Rrightarrow 2\sqrt{3}(cos\dfrac{5\pi}{6}+isin\dfrac{5\pi}{6})[/tex]
80
Select the correct answer.
4
What is the solution to the equation?
5√x + 7 = -2
OA -39
OB. -17
OC 25
OD. no solution
Answer:
38 is the correct solution
Kelsey has $100 in an account the interest-rate is 11% compounded annually to the nearest cent how much will she have in two years
Answer:
$123.21 (nearest cent)
Step-by-step explanation:
Annual Compound Interest Formula
[tex]\large \text{$ \sf A=P\left(1+r\right)^{t} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)t = time (in years)Given:
P = $100r = 11% = 0.11t = 2 yearsSubstitute the given values into the formula and solve for A:
[tex]\implies \sf A=100\left(1+0.11\right)^{2}[/tex]
[tex]\implies \sf A=100\left(1.11\right)^{2}[/tex]
[tex]\implies \sf A=123.21[/tex]
Therefore, the value of the account in 2 years will be $123.21 (nearest cent).
Write the relation as a set of ordered pairs. a. ordered pairs: {(–3, 3), (0, 0), (2, –2)} b. ordered pairs: {(3, –3), (0, 0), (–2, 2)} c. ordered pairs: {(3, –3), (0, 0), (2, d. ordered pairs: {(–2, 2), (0, 0), (3, –3)}
The relation written as a set of ordered pair is given as: : {(–2, 2), (0, 0), (3, –3)}. (Option D)
What is an ordered pair?An ordered pair is a in math is one that comprises coordinates of one point in the coordinate system where the first is the x coordinate and the other is representative of the y coordinate.
Thus the correct ordered pair is option D. See the graph attached.
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what two numbers mutiples by -36 and adds to 5
Answer:
+ 9 and - 4
Step-by-step explanation:
9 × - 4 = - 36
9 + (- 4) = 9 - 4 = 5
Answer:
The two numbers are :
9 and -4
9 x -4 = -36
9 + (-4) = 5
Step-by-step explanation:
Hope It Helps!!!
Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.
The measure of angle ABC is
°.
The measure of angle BAC is
°.
The measure of angle ACB is
°.
The measure of angle ∠ACB is 70°. Then the correct option is C.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
∠ABC + ∠BCA + ∠CAB = 180°
60° + ∠BCA + 50° = 180°
∠BCA = 180° – 110°
∠BCA = 70°
Then the correct option is C.
The complete question is given below.
Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.
The measure of ABC is 60
The measure of BAC is 50
The measure of ACB will be
a. 50
b. 60
c. 70
d. 120
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Answer:
Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.
The measure of angle ABC is
✔ 60
°.
The measure of angle BAC is
✔ 50
°.
The measure of angle ACB is
✔ 70
°.
Step-by-step explanation:
Celo used the simple interest formula uppercase a = uppercase p (1 r t) to calculate the interest he earned on his savings last month. which equation is equivalent to the simple interest formula? uppercase p = startfraction uppercase a over 1 r t endfraction uppercase p = startfraction 1 r t over uppercase a endfraction uppercase p = uppercase a minus (1 r t) uppercase p = uppercase a (1 r t)
The equation equivalent to the simple interest formula A = P(1 + rt), that Celo used is P = A/(1 + rt). Hence, the first option is the right choice.
Equivalent equations are the equations that are transformed from one equation to another equation, but the final values they give are equal. It's just the change of the variable on which the equation is derived.
The simple interest equation that Celo used is A = P(1 + rt).
This is currently used to find the final amount A.
On isolating P to one side of the equation in the following ways:
A = P(1 + rt),
or, A/(1 + rt) = {P(1 + rt)}/(1 + rt) {Dividing both sides by (1 + rt)}.
or, A/(1 + rt) = P {Simplifying}.
or, P = A/(1 + rt) {Changing sides}.
Thus, the equation equivalent to the simple interest formula A = P(1 + rt), that Celo used is P = A/(1 + rt). Hence, the first option is the right choice.
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does this function represent a function? yes or no
Answer:b
Step-by-step explanation:
For the functions f(x) and g(x), determine the domain of (f ∙ g)(x) (the product of f and g).
f(x)= 12/x, g(x)= -8x ^3
Answer: Domain: (-∞, 0) U (0, ∞)
Step-by-step explanation:
[tex]\frac{12}{x} *-8x^{3}[/tex]
[tex]=-96x^2[/tex]
Domain: (-∞, 0) U (0, ∞)
How far will Kenneth walk in 3.5 hours?
y = 5.5(x)
Answer:
19.25(miles?)
Step-by-step explanation:
Assuming 3.5 is the x value or input of the function
3.5 x 5.5 = 19.25
Shelby bought 2 cans of paint and 3/4 of a pint of special paint additive formulated to reduce mildew. Before painting her house, she divided the additive equally between the 2 cans of paint. How much additive did she put in each can?
(a) The average velocity of 25 taxies is 40 km/hr and the average velocity of 35 trucks is 30 km/hr. Find the combined average velocity of both types of vehicles. ( a ) The average velocity of 25 taxies is 40 km / hr and the average velocity of 35 trucks is 30 km / hr . Find the combined average velocity of both types of vehicles.
Answer:
10hr/m because the average velocity is divided by number
Which is the equation of a line that has a slope of 1/2and passes through point (2, -3)?
Answer:
y = 1/2 x - 4
Step-by-step explanation:
point slope form would be
( y - - 3) = 1/2 (x-2) you can re-arrange as
y = 1/2x -4
Figure 1 is similar to figure 2. What is the height of figure 1?
8 units
1 unit
2 units
4 units
The height of figure 1 that is similar to figure 2 is: D. 4 units.
What are Similar Figures?The corresponding linear measurements of similar figures are proportional. Therefore, we would have:
4x/2x = x + 1/x
Solve for x
2 = x + 1/x
2x = x + 1
2x - x = 1
x = 1
Height of figure 1 = 4x = 4(1) = 4 units.
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Donte simplified the expression below. 4 (1 3 i) minus (8 minus 5 i). 4 3 i minus 8 5 i. negative 4 8 i. what mistake did donte make? he did not apply the distributive property correctly for 4(1 3i). he did not distribute the subtraction sign correctly for 8 – 5i. he added the real number and coefficient of i in 4(1 3i). he added the two complex numbers instead of subtracted.
Donte did a mistake that 'he did not apply the distributive property correctly for 4(1 3i)' option (A) is correct.
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have an expression:
= 4(1 + 3i) – (8 – 5i)
= 4 + 12i - 8 + 5i
He did not distribute the subtraction sign correctly for 8 – 5i.
= -4 + 17i
Thus, Donte did a mistake in that 'he did not apply the distributive property correctly for 4(1 3i)' option (A) is correct.
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Answer:
(A) is correct.
Step-by-step explanation:
Here's an equation of a line:
y - 4x = 9
Which of the following is the equation of a line
that is parallel?
Click on the correct answer.
-4y+ x = 18
y + 4x = 4
2y - 8x = 3
4y + x = 18
Answer:
[tex]2y - 8x = 3[/tex]
Step-by-step explanation:
[tex]y - 4x = 9[/tex]
[tex]2y - 8x = 18[/tex]
So 2y - 8x = 3 is parallel to y - 4x = 9.
3x + 2(x − 1) − 4? pleeeessssssssssssssssssssssssssss
Answer:
5x - 6Step-by-step explanation:
3x + 2(x − 1) − 4 =
3x + 2x - 2 - 4 =
5x - 6
Answer:
[tex]\boxed{\bf 5x - 6}[/tex]Step-by-step explanation:
[tex]\bf 3x + 2(x - 1) - 4?[/tex]
Distribute.
[tex]\bf 3x + 2x - 2 - 4[/tex]Subtract the numbers.
[tex]\bf 3x + 2x - 2 - 4[/tex][tex]\bf 3x + 2x - 6[/tex]Combine like terms.
[tex]\bf 5x - 6[/tex]_____________________The men took an average of 21.89 hours of personal time per year with a standard deviation of 3.29 hours. The Human Resources Department believes that women tend to take more personal time than men because they tend to be the primary child care givers in the family. The t-test for two means is appropriate in this situation because Group of answer choices women and men are dependent samples. women and men are independent samples. women and men are matched samples. the observations are paired. None of these.
The t-test for the two means is appropriate in this situation because women and men are independent samples.
What are Independent Samples?Independent samples are chosen randomly, ensuring that their results are independent of other observations' values.
The premise that samples are independent underlies many statistical analyses. Others are made to evaluate non-independent sample sets.
The samples of men and women are independent since their results are independent of other observations' values.
The Independent Samples t-Test analyzes the means of two separate groups to see if there is statistical support that the population means values are statistically substantially different.
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Which of the following phrases does not translate to n - 5?
1. the difference between a number and five
2. a number decreased by five
3. a number subtracted from five
4. a number minus five
Answer:
3
Step-by-step explanation:
Two measures of two supplementary angles are in the ratio of 2.3 find the measurments of the two angles.
Answer:
The angles are 72° and 108°
Step-by-step explanation:
Supplementary angles add up to 180°
Ratio of supplementary angles = 2 : 3
The angles are 2x , 3x
2x + 3x = 180
5x = 180
x = 180 ÷ 5
x = 36°
2x = 2*36 = 72°
3x = 3*36 = 108°
Christy buys a bag of cookies that contains 7 chocolate chip cookies, 4 peanut butter cookies, 7 sugar
cookies and 4 oatmeal cookies. what is the probability that christy randomly selects an oatmeal cookie
from the bag, eats it, then randomly selects a chocolate chip cookie? express you answer as a reduced
fraction.
Answer:
[tex] \frac{2}{33} [/tex]
Step-by-step explanation:
There are 22 cookies in all.
The probability of selecting an oatmeal cookie is 4/22, or 2/11. Since that cookie is eaten, there are 21 cookies left, so the probability of selecting a chocolate chip cookie is 7/21, or 1/3. Multiplying these probabilities, we have 2/33.
A right rectangular pyramid is sliced parallel to the base, as shown. (100 POINTS)
What is the area of the resulting two-dimensional cross-section?
2 m²
3 m²
9 m²
12 m²
That shaded region area we need
length=2mBreadth=1mArea
Length×Breadth2(1)2m²can someone help me?
Answer:
-6
30
22
8x² + 18x + 4
8x² - 2x - 6
Step-by-step explanation:
f(x) = 8x² + 2x - 6
f(0) = 8(0²) + 2(0) - 6 = -6
f(2) = 8(2²) + 2(2) - 6 = 32 + 4 - 6 = 30
f(-2) = 8 × (-2)² + 2(-2) - 6 = 32 - 4 - 6 = 22
f(x + 1) = 8(x + 1)² + 2(x + 1) - 6 = 8(x² + 2x + 1) + 2x + 2 - 6 = 8x² + 18x + 4
f(-x) = 8(-x)² + 2(-x) - 6 = 8x² - 2x - 6
An archaeologist in turkey discovers a spear head that contains 32% of its original amount of c-14
Answer:
that means that the new ones contains c-14*32/100
Hope This Helps!!!
Step 3: Now multiply the values to get 14,918,904,000. That is almost 15 billion passwords.
That is a lot of passwords! How many passwords would the website have if users were allowed to
reuse the letters and numbers? (Enter the number of successful outcomes in each of the blanks
below. Let the first six spaces represent letters and the last two spaces represent numbers)
The number of passwords that would be allowed if users were allowed to reuse the letters and numbers is 30891577600
How to determine the number of passwordsThe given parameters are:
Password length = 8
Letters = 6
Numbers = 2
There are 26 letters and 10 digits.
Since the letters and the numbers can be repeated, then the number of passwords is:
Count = 26^6 * 10^2
Evaluate
Count = 30891577600
Hence, the number of passwords that would be allowed if users were allowed to reuse the letters and numbers is 30891577600
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What do the differences between the points (as shown on the graph) represent?
On a coordinate plane, point B is at (2, 7) and point D is at (4, 14).
Which is a true statement about an exterior angle of a triangle
Answer:
would love to help but what are the statements?
(-7)(-7)(3) integer operations
Answer:
-×-=+
49×3
147
Step-by-step explanation:
please mark me as brainlest
