11. Which of the following is an example of a
proportional equation?
A. Y = -1.4x
B. y = x + 1
C. y = 10.5x - 5
D. None of the above
Answer:
Step-by-step explanation: D. None of the above
What is the rectangular equivalence to the parametric equations?
x(θ)=4cosθ+2,y(θ)=2sinθ−5 , where 0≤θ<2π .
The rectangular equivalence of the parametric equations is given as:
an ellipse that is focalized on (2, -5) with semi-major axis of 4 and semi-minor axis of 2.
A parametric equation is the type which has dependent variables defined as a continuous function of the independent factor - t, and the dependent variables are mutually exclusive of other existing variables.
What is the calculation for the above?Step 1 - Note that we have the following terms:
x(θ)=4cosθ+2,
y(θ)=2sinθ−5
Step 2 - Rewrite the above equations
x = 4 -cos(θ) +2;
y = 2 -Sin (θ) - 5
We rewrite again as
\(\left( \frac{x-2}{n}\right)^{2}\) = cos (θ)²; \(\left( \frac{y+5}{n}\right)^{2}\) = sin(θ)²
Recall that
cos (θ)² + sin(θ)² = 1
Therefore,
\(\left( \frac{x-2}{n}\right)^{2}\) + \(\left( \frac{y+5}{n}\right)^{2}\) = 1
The result is an ellipse with the center (2, -5) with a semi-major axis of 4 and a semi-minor axis of 2. See the result of the Parametric Graph Plot attached.
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Micheal is using the table below to find the value of 128 x 72 .
Thank you to anyone who answers .
Answer:
it's 128 x 72 =9,216
Step-by-step explanation:
N = 560
Find the value of x
I need the answer ASAP
Answer:
15
Step-by-step explanation:
i kinda remember i think
2(x+8)=46
What is the value of (2/5)^3
The value of the exponent (2/5)^3 is \(\frac{8}{125}\)
In the above question, it is given that
(2/5)^3
The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 2^3) signifies 2 x 2 x 2 = 8.
We need to solve it and then find the value of the exponent
(2/5)^3
= \(\frac{2}{5}\) x \(\frac{2}{5}\) x \(\frac{2}{5}\)
= \(\frac{2 . 2. 2}{5 . 5 . 5}\)
= \(\frac{8}{125}\)
Therefore the value of the exponent (2/5)^3 is \(\frac{8}{125}\)
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A baby monitor picks up signals within 50 meter radius .how many square meters of coverage does the baby monitor provide
Answer:
15.24 square meters
Step-by-step explanation:
Select the correct answers for each blank
1
2
3
4
5
the definition of
congruence does not
mean measures are equal
the subtraction property
of equality applies to
numbers, not angles
the sum of angles equals
an angle must be shown
first by using the angle
addition postulate
We can see here that statement 4 is the first error in this proof. The reason for statement 6 is not correct because the expression should be what we are proofing.
What is an angle?An angle is a geometric figure formed by two rays or line segments that share a common endpoint called the vertex. The rays or line segments are referred to as the sides of the angle.
The measurement of an angle is typically expressed in degrees, radians, or other angular units. Angles are commonly used to describe the amount of rotation or the inclination between two lines or surfaces.
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Find the y-intercept of a line with a slope of -6 and passes through to point (-5,3).
Answer:
3
Step-by-step explanation:
the y intercept is just the first time the line goes through y
Answer:
The y-intercept is -27
Step-by-step explanation:
y = mx + b
y = -6x + b
(-5,3)
y = -6x + b
3 = -6(-5) + b
3 = 30 + b
-30 -30
-27 = b
y = -6x - 27
I attached a graph to check the answer :)
Hope this helps!
The expression
³√x²y³ = x²y³
where x and y are non-negative real numbers.
r, the exponent of X, is:
s, the exponent of y, is:
Using exponent power property, ³√x²y³ = x^r y^s, where x and y are non-negative real numbers.
r, the exponent of x, is: 2/3
s, the exponent of y, is: 1
What is Exponent power property?According to the Power of a Power Property, you can multiply the exponents if one exponent is increased to a higher exponent. This characteristic may be used to resolve the equation (3 x 2) 3.
³√x²y³ = x^r y^s
Cubing on both sides,
x²y³ = x^3r y^3s
As base is same, equating the powers
⇒ 2 = 3r; r = 2/3
⇒ 3 = 3s; s = 1
The correct question is -The expression
³√x²y³ = x^ry^s
where x and y are non-negative real numbers.
r, the exponent of X, is:
s, the exponent of y, is:
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Year 9 Non-realationship question
Could you help me to do just question 12b please?
The equation of the parabola shown in the 12b is y = x² - 4 if the vertex of the parabola is (0, -4).
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
(x - h)² = 4a(y - k)
(h, k) is the vertex of the parabola:
a = √[(c-h)² + (d-k²]
(c, d) is the focus of the parabola:
It is given that:
The graph of a parabola is shown in the 12b question:
As we know, the standard form of the parabola is:
y = a(x - h)² + k
(h, k) is the vertex of the parabola:
From the graph: h = 0, k = -4
y = ax² - 4
Plug (2, 0) in the above equation:
0 = 4a - 4
a = 1
y = x² - 4
Thus, the equation of the parabola shown in the 12b is y = x² - 4 if the vertex of the parabola is (0, -4).
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A bridge club has 12 members, of which 6 are men and 6 are women. They decided to randomly select 4 different members to form a team and send them to a bridge tournament. True or False and explain: the probability that the team is comprised of 2 men and 2 women is
Therefore, the probability that the team is comprised of 2 men and 2 women is approximately 0.4545, which is true.
To calculate the probability that the team is comprised of 2 men and 2 women, we need to determine the number of favorable outcomes (teams with 2 men and 2 women) and the total number of possible outcomes (all possible teams).
The number of ways to choose 2 men from 6 men is given by the combination formula: C(6, 2) = 6! / (2! * (6-2)!) = 15.
Similarly, the number of ways to choose 2 women from 6 women is also C(6, 2) = 15.
Therefore, the number of favorable outcomes is the product of the number of ways to choose 2 men and 2 women: 15 * 15 = 225.
Now, let's calculate the total number of possible outcomes. We need to choose 4 members from a total of 12 members, which is given by C(12, 4) = 12! / (4! * (12-4)!) = 495.
The probability that the team is comprised of 2 men and 2 women is the ratio of favorable outcomes to the total number of outcomes: 225/495 = 45/99 ≈ 0.4545 (rounded to four decimal places).
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Kim and jake are competing in the big race. jake starts at the starting line and rides at 2 meters per second. kim gets a 6 meter head start and rides at 3 meters every 2 seconds. write an equation for kim and jake
The equation obtained for Kim will be t = x/2
Equation obtained for Jake will be t = (x - 6)/1.5
As for the problem, Kim and Jake are competing in the big race. And the values of their speed are given below.
Kim moves at a 2-meter-per-second running pace.
Jake moves at a 1.5 meter per second running pace (3 meters per 2 seconds)
Jake gets 6 meters ahead of Kim.
To get equations for the same case to both persons we should get it as,
Let x be the complete race distance and t be either Kim's or Jake's total race time.
Time = Speed/Distance
Kim's time equation is t = x/ 2.
The time equation that Jake uses is t = (x - 6)/1.5.
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-1859/16= -7(33/8x - 7/4) + 3/2
Answer:
x= 9/2
Step-by-step explanation:
Anyone know this if not that’s ok :)
Answer:
First and last options are correct answers
Step-by-step explanation:
domain: \( x\geqslant 0\) because number of minutes can not be negative.
range: \( y\geqslant 20\) because 20 is the least possible y- value for 0 minutes.
Answer:
...
Step-by-step explanation:
Solve |x + 3| – 1 = (x + 2)2 by graphing.
Answer:
x= -2, -1
Step-by-step explanation: The solution is the x-value of the point of intersection
For every pizza Caron's family ate, Caron ate 2 of the 8 slices. If Caron's family brought 4 pizzas, write the ratio of the total number of slices Caron ate to the total number of slices the family ate.
Answer:
\(\frac{8}{32}\)
Step-by-step explanation:
2×4=8
Caron are a total of 8 slices.
8×4=32
There were 32 slices between all 4 pizzas.
A farmer uses 1/3 of his land to grow corn and 1/4 to grow yams . What fraction of the land is left?
Answer:
7/12
Step-by-step explanation:
3*4=12. 4/12+3/12=7/12.
Answer:
5/12
Step-by-step explanation:
you find the common factor of 12, divide 12 by the denominator, multiply the numerator by that, add the new numerators, put it on the denominator of 12, subtract it from 12/12
11. A population of bacteria triples every week in a laboratory. The number of
bacteria is modeled by the expression 900 3*, where x is the number of weeks
after a scientist measures the population size. When x = -2, what does the value
of the expression represent?
Answer:
Step-by-step explanation:
Let x represent the number of weeks a population of the bacteria increases. Then, we have the number of bacteria is molded by the expression of 900*3^x. By, the given expression and when we assigned a value of x=2. Then we have 900*3² .
steph curry is a 91% free-throw shooter. suppose that he shoots 10 free throws in a basketball game. assume his free-throw shots are independent. (a) how many free throws would you expect steph curry to make in this game? (b) what is the probability that he makes exactly 8 free throws? (c) what is the probability that he makes at least 8 free throws?
The probability that he makes at least 8 free throws is 0.9459
What is Probability?
Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability. It is crucial to grasp this branch's most fundamental concepts in order to fully comprehend it, including the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc.
It is given that:
\(\text { Let } p=0.91 \text { and } n=10\)
Expected number of shots \(, $E(x)=n p=(10)(0.91)=9$\)
Now, we use Binomial Distribution \(p(X=x)=n_{c_x} p^x(1-p)^{n-x}\)
with the parameters \(n=10$and $p=0.91$\)
Let X be the number of free throws he made
Therefore,
\($p(X \geq 8)$$$\begin{aligned}&=p(X=8)+p(X=9)+p(X=10) \\&=10 c_8(0.91)^8(1-0.91)^{10-8}+1 c_{c_9}(0.91)^9(1-0.91)^{10-9}+10_{c_{10}}(0.91)^{10}(1-0.91)^{10-10} \\&=0.1714+0.3851+0.3894 \\&=0.9459\end{aligned}$$\)
Hence, The probability that he makes at least 8 free throws is 0.9459
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a subtotal row must contain at least one ________ function.
To function effectively, a subtotal row must contain at least one aggregate function, which performs calculations on a group of values and produces a single, concise result that conveys the relevant information.
A subtotal row is an essential tool for data analysis in spreadsheets, allowing for easy organization and summarization of large datasets.
A subtotal row is a crucial element in organizing and analyzing data within spreadsheets, as it allows users to break down information into manageable sections. To achieve this, a subtotal row must contain at least one aggregate function. Aggregate functions perform calculations on a group of values, generating a single result that summarizes the data.
Examples of common aggregate functions include SUM, AVERAGE, COUNT, MIN, and MAX. These functions facilitate various mathematical operations, such as summing up values, finding the average, counting the number of instances, identifying the smallest value, and determining the largest value, respectively.
In practice, when creating a subtotal row in a spreadsheet, users typically sort the data by the desired category first. Then, they apply the appropriate aggregate function(s) to generate the desired summary statistics for each subset of data. This enables users to quickly gain insights into the data trends and make informed decisions based on the summarized information.
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In the expression Pr(deny = 1| P/I Ratio, black) =\phi(–2.26 + 2.74P/I ratio + 0.71black), the effect of increasing the P/I ratio from 0.3 to 0.4 for a white person
a. is 0.274 percentage points.
b. is 6.1 percentage points.
c. should not be interpreted without knowledge of the regression R2 .
d. is 2.74 percentage points.
The correct answer is option (a) 0.274 percentage points.
In the given expression, Pr(deny = 1| P/I Ratio, black) = φ(–2.26 + 2.74P/I ratio + 0.71black), the effect of increasing the P/I ratio from 0.3 to 0.4 for a white person is 2.74 percentage points.
The given expression is a logistic regression model that shows the relationship between the probability of being denied a loan (dependent variable) and P/I Ratio and black (independent variables).
The coefficient value for P/I Ratio is 2.74. It means that if we increase the P/I Ratio by one unit, then the probability of being denied a loan will increase by 2.74 percentage points.
Therefore, the increase from 0.3 to 0.4 will cause an increase of 2.74 * 0.1 = 0.274 or 0.27 percentage points.
Hence, the correct option is (a) 0.274 percentage points.
Regression R2 is not required to interpret the effect of increasing the P/I Ratio from 0.3 to 0.4 for a white person in the given expression.
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12.5 x n = 32
(solve for n plz, thanks!!)
Answer:
n=2.56
Step-by-step explanation:
A farmer has 12 acres of land. He plans to plant w acres of wheat and b acres of barley on his land. If he plans to plant wheat in no more than 3 acres of land, which system of inequalities represents the possible values for b and w ?
Answer: w+b>12. W>3
Step-by-step explanation: because the teacher tell me
Simplify this expression.
–6w + (–8.3) + 1.5+ (–7w)
The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.
What is the simplified form of the expression?Given the expression in the question;
-6w + (–8.3) + 1.5+ (–7w)
To simplify, first remove the parenthesis
Note that;
- × + = -- × - = ++ × + = +-6w + × - 8.3 + 1.5 + × - 7w
-6w - 8.3 + 1.5 - 7w
Next collect and add like terms
-6w - 7w - 8.3 + 1.5
Add -6w and -7w
-13w - 8.3 + 1.5
Add -8.3 and 1.5
-13w - 6.8
Therefore, -13w - 6.8 is the simplified form.
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A piano has a ratio of 6 black keys for every 15 white keys. Write a ratio to represent the ratio of white keys to black keys. 15 to 6 six over fifteen 6:15 15:21
According to given information, the ratio of white keys to black keys is 5:2.
What is ratio?In mathematics, a ratio is a comparison of two quantities or values. It expresses how many times one quantity is contained in another. Ratios can be written in the form of a fraction, using a colon, or using the word "to".
According to given information:The ratio of black keys to white keys is 6:15. To find the ratio of white keys to black keys, we can write the same ratio in terms of white keys first, then simplify it.
The ratio of white keys to black keys can be found by inverting the ratio of black keys to white keys, which gives:
15:6
We can simplify this ratio by dividing both the numerator and denominator by the greatest common factor, which is 3. Dividing by 3 gives:
5:2
Therefore, the ratio of white keys to black keys is 5:2.
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The PRHS band needs to raise money for an out-of-state competition. They
decide to construct a "Mascot Maze" and charge $2 for admission. At the
end of the mattepending on where you exit, you may receive a stuffed
PRHS bear.
BEARS
NO BEARS
BEARS
Determine the theoretical probability of taking home a bear.
3/5
(answer as a reduced fraction)
If 50 people enter the maze, how many bears would you expect to give
away? 30
the answer is correct
Step-by-step explanation:
because the chance of getting a bear is 3 over five and 3/5 times by ten the would be 30/50 meaning 30 people would possibly get a bear
Sarah works as a nanny and charges different rates for working during the week and the weekend. One week, she earned 902.50 working 45 hours, of which 5 hours were during the weekend. The following week she earned 1045 working 50 hours, of which 10 hours were during the weekend. What does Sarah charge per hour, in dollars, for working during the week?
Sarah's charges per hour for working during the week will be $9.5.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Sarah is a nanny who bills clients at various prices depending on whether she is working during the week or on the weekend. She worked 45 hours in a single week for a salary of $902.50, of which 5 hours were on the weekend. She worked 50 hours the next week, 10 of which were on the weekend, and made 1045 dollars.
Let x be the charge per working hour and y be the number of charges per hour during the weekend. Then the equation will be
45x + 5y = 902.5 ...1
50x + 10y = 1045
25x + 5y = 522.5 ...2
Subtract equation 2 from equation 1, then we have
45x - 25x = 902.5 - 522.5
20x = 380
x = 19
And the value of y will be
25 (19) + 5y = 522.5
475 + 5y = 522.5
5y = 47.5
y = 9.5
Sarah's charges per hour for working during the week will be $9.5.
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Una jarra contiene medio litro de gaseo-
sa, ¿cuántos vasos de 10 centilitros se
pueden llenar?
5 vasos ya que en u litro cabe 100 entonces en medio ay 50 y 10 cabe 5 veses en el 50
A tsunami is a destructive, fast-moving ocean wave that is caused by an undersea earthquake,
landslide, or volcano. The Pacific Tsunami Warning Center is responsible for monitoring
earthquakes that could potentially cause tsunamis in the Pacific Ocean. Through measuring the
depth the earthquake occurs below sea level and calculating the speed of a tsunami, scientists
can predict the arrival times of tsunamis.
The speed s (in meters per second) at which a tsunami moves is determined by the depth d (in
meters) of the ocean and is given by the equation S = V10d.
23. Find the speed of a tsunami in a region of the ocean that is 4000 meters deep. Write the
result in simplified form and include units in answer.
Answer:
Earthquakes of this magnitude are very unlikely to trigger a tsunami.
Step-by-step explanation:
Although earthquake magnitude is one factor that affects tsunami generation, there are other important factors to consider. The earthquake must be a shallow marine event that displaces the seafloor. Thrust earthquakes (as opposed to strike slip) are far more likely to generate tsunamis, but small tsunamis have occurred in a few cases from large (i.e., > M8) strike-slip earthquakes.
1. 11f + 15f
2. 18h + 13h
3. 55m + 11
Will give Brainliest Answer
Answer:
1. 2 6f
2. 31h
3. 1 1 ( 5 + 1 )
hope this helps
Step-by-step explanation:
Answer:
Distributive property:
ab + ac = (a + b)cApplied to the given expressions:
11f + 15f = (11 + 15)f = 26f 18h + 13h = (18 + 13)h = 31h 55m + 11 = 11(5m + 1)