Answer:
they make 13 goals and the total is 19 so the ratio is 13:19
Step-by-step explanation:
Review the graph of f(x). What is the function’s behavior close to the vertical asymptote x = 2? Limit of f (x) as x approaches 2 minus = infinity and limit of f (x) as x approaches 2 plus = infinity Limit of f (x) as x approaches 2 minus = infinity and limit of f (x) as x approaches 2 plus = negative infinity Limit of f (x) as x approaches 2 minus = negative infinity and limit of f (x) as x approaches 2 plus = infinity
The function's behavior at vertical asymptote x = 2 is (b) \(\mathbf{ \lim_{x \to 2^-} f(x) = \infty\ and \ \lim_{x \to 2^+} f(x) = -\infty}\)
How to determine the function's behavior?The attached graph represents the missing information in the question.
From the attached graph, we have the following highlights:
At x = 2, a curve points upwardAt x = -2, another curve points downwardThis means that the limit of f(x) approaches negative infinity and positive infinity at this value of x
Hence, the function's behavior is (b) \(\mathbf{ \lim_{x \to 2^-} f(x) = \infty\ and \ \lim_{x \to 2^+} f(x) = -\infty}\)
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By using sum or difference formulas, cos(-a) can be written as OA. - sin(x) B. - cos(x) Oc.cos(x) D. sin(x) OE. All of the above OF. None of the above By using sum or difference formulas, cos(-a) can be written as OA. - sin(x) B. - cos(x) Oc.cos(x) D. sin(x) OE. All of the above OF. None of the above By using sum or difference formulas, cos(-a) can be written as OA. - sin(x) B. - cos(x) Oc.cos(x) D. sin(x) OE. All of the above OF. None of the above
By using sum or difference formulas, cos(-a) can be written as - cos(a). Explanation: We know that cosine is an even function of x, therefore,\(cos(-x) = cos(x)\) .Then, by using the identity \(cos(a - b) = cos(a) cos(b) + sin(a) sin(b)\), we can say that:\(cos(a - a) = cos²(a) + sin²(a).\)
This simplifies to:\(cos(0) = cos²(a) + sin²(a)cos(0) = 1So, cos(a)² + sin(a)² = 1Or, cos²(a) = 1 - sin²\)(a)Similarly,\(cos(-a)² = 1 - sin²(-a)\) Since cosine is an even function, \(cos(-a) = cos(a)\) Therefore, \(cos(-a)² = cos²(a) = 1 - sin²(a)cos(-a) = ±sqrt(1 - sin²(a))'.\)
This is the general formula for cos(-a), which can be written as a combination of sine and cosine. Since cosine is an even function, the negative sign can be written inside the square root: \(cos(-a) = ±sqrt(1 - sin²(a)) = ±sqrt(sin²(a) - 1) = -cos\).
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n is an integer.
Write down the values of n such that -8 ≤ 4n < 12
Answer: -2; -1; 0; 1; 2
\(-8\leq 4n<12\\\\=> -2\leq n<3\)
because n is an integer => n ∈ {-2; -1; 0; 1; 2}
Step-by-step explanation:
Answer is : n ={-2; -1; 0; 1; 2}
What is number?A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.
here, we have,
given that,
-8 ≤ 4n < 12
=> -2≤ n <3
because, n is an integer => n ∈ {-2; -1; 0; 1; 2}
Hence, Answer is : n ={-2; -1; 0; 1; 2}.
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A family reduced the consumption of sugar from 10 kg to 8kg per month due to increase in price. Find the percentage decrease in consumption.
Answer:
20%
Step-by-step explanation:
Step 1: Find the decrease in consumption
10kg - 8kg = 2kg
So the family decrease their consumption of sugar by 2kg
Step 2: We have to find what percent did the family reduce their sugar consumption
We can divide how much they reduced by with the original amount
2kg/10kg = 1/5 kg or 20%
Therefore the family reduced the consumption of sugar by 20$
Find the area of a circle with a diameter of 16 units.
Exact Area:
Approx Area (use 3.14 for pi):
Approx Area (use 22/7 for pi):
Answer:
exact: 64π square units3.14 for π: 200.96 square units22/7 for π: 201 1/7 square unitsStep-by-step explanation:
You want the area of a 16-unit circle using different values for pi.
AreaThe formula for the area of a circle is ...
A = πr² . . . . . . where r is half the diameter
For the different values of pi, this will be (in square units) ...
π(8²) = 64π . . . . exact
3.14(8²) = 200.96 . . . . using 3.14 for π, slightly low
22/7(8²) = 201 1/7 . . . . using 22/7 for π, slightly high
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what is the area of a triangular prism?
Answer:
14! i think :D
Step-by-step explanation:
im probly worngg TvT
n the regression equation, what does the letter x represent? multiple choice the y-intercept the slope of the line the independent variable the dependent variable
In the regression equationp, the letter x represents the independent variable. (C)
In a regression equation, we typically have a dependent variable (often denoted as y) and one or more independent variables (often denoted as x₁, x₂, etc.). The regression equation represents the relationship between the dependent variable and the independent variable(s).
The independent variable, represented by the letter x, is the variable that is assumed to influence or affect the dependent variable. It is the variable that is controlled or manipulated in the analysis. The regression equation estimates the effect of the independent variable(s) on the dependent variable.
For example, in a simple linear regression equation y = mx + b, where y is the dependent variable and x is the independent variable, the coefficient m represents the slope of the line (the change in y for a unit change in x), while the constant term b represents the y-intercept.
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An arc subtends an angle of 72 degrees at the centre of the circle find the length of the arc of the radius of the circle is 3.5cm take pie as 22 on 7
Answer:
4.4 cm
Step-by-step explanation:
Arc length = 2*pi*r*(central angle) / 360
Arc length = 2*(22/7)*3.5*(72/360)=4.4 cm
11. Share R20 000 among three brothers in the ratio 5: 3:2.
All the three brothers get,
⇒ 10,000
⇒ 6,000
⇒ 4,000
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
Given that;
Share R20 000 among three brothers in the ratio 5 : 3 : 2.
Hence, We can formulate;
All the three brothers get, 5x, 3x and 2x
So, We get;
⇒ 5x + 3x + 2x = 20000
⇒ 10x = 20,000
⇒ x = 2000
Thus, All the three brothers get,
⇒ 5x = 5 × 2000 = 10,000
⇒ 3x = 3 × 2000 = 6,000
⇒ 2x = 2 × 2000 = 4,000
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Please help me
The number of protozoa in a biology laboratory experiment is given by the polynomial function p(t)=0.09t4+0.4t3+6t2
, where p
is the number of protozoa after t
hours.
Determine the number of protozoa after 5
hours. Round your answer to the nearest whole number.
Answer:
Step-by-step explanation:
p= protozoa population, t= hours
So, p(t)=0.09(5)^4+0.4(5)^3+6(5)^2
p(5)= 56.25+50+150
=256?
Todd made a table to show different plans he can use to save $500. Complete the table. Which plan can Todd use to save $500 in less than 16 weeks and have $20 extra? Explain how you found your answer
Todd use to save $500 in less than 16 weeks and have $20 extra in Plan C.
In plan A,
Plans for saving = $500
Amount of saving each week = $20
∴ Number of weeks needed to make goal = (500 ÷ 20) (by using division)
= 25
In plan B,
Plans for saving = $500
Amount of saving each week = $30
∴ Number of weeks needed to make goal = (500 ÷ 30) (by using division)
= 17
In plan C,
Plans for saving = $500
Amount of saving each week = $40
∴ Number of weeks needed to make goal = (500 ÷ 40) (by using division)
= 13
In plan D,
Plans for saving = $500
Amount of saving each week = $50
∴ Number of weeks needed to make goal = (500 ÷ 50) (by using division)
= 10
So, Todd use to save $500 in less than 16 weeks and have $20 extra in Plan C.
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Write 95300 standard form
Answer:
9.53 x 10^4
Hope this helps.(~ ̄▽ ̄)~
Please mark as Brainiest.
THANKS. \^o^/
The triangles are congruent by SSS or HL.
Triangles P Q R and S T U are shown. Triangle P Q R is reflected across Q R and then is shifted up and to the right to form triangle S T U.
Which transformation(s) can map TrianglePQR onto TriangleSTU?
translation only
rotation only
rotation, then reflection
reflection, then translation
From the information given about the triangle, the transformation that can map Triangle PQR onto Triangle STU is D. reflection, then translation.
What is a congruent triangle?Congruent triangles are known as triangles that have the same size, shape and angles.
It is also important to note that the transformation that can map Triangle PQR onto Triangle STU is reflection, then translation. This is so because it is a vital to form of congruent triangles.
There, the transformation that can map triangle PQR onto triangle STU is reflection, then translation. Option D
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Answer:
reflection, then translation
Step-by-step explanation:
The answer above is correct.
i dont know
what to do here and its due by the end of class
Answer:
ur screwed but the answer is 110.88
Step-by-step explanation:
:)
Jay loves to eat apple but not the banana while John loves to eat mango and the banana. Kim loves to eat mango but not the apple and Jim loves to eat banana but not the mango. If each child loves to eat two of the three fruits, which one has the same preference as John?
John has the same preference as Kim. John loves to eat mango and the banana. Kim loves to eat mango but not the apple. Jim loves to eat banana but not the mango. John and Kim have the same preference for mango.
John's preference for mango can be inferred from the given information that he loves to eat mango and the banana. However, it does not mention anything about his preference for apples. Kim, on the other hand, loves to eat mango but not the apple. This aligns with John's preference for mango.
Among the given children, John and Kim have the same preference for fruits. They both love to eat mango, while John also enjoys eating bananas.
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what error did the student make?? PLEASE HELP ME
Answer:
He did an error because he multiplied equation 2 wrongly.
The correct multiplication should have been:
-6x + 9y = 6 Multiply equation by 2 by 3
Step-by-step explanation:
Given the system of equations
3x-5y=4
-2x+3y=2
This is what student solved
6x - 10y = 8 Multiply equation 1 by 2
-6x + 3y = 6 Multiply equation by 2 by 3
_________
-7y = 14
y = -2
He did an error because he multiplied the equation 2 wrongly.
The correct multiplication should have been:
-6x + 9y = 6 Multiply equation by 2 by 3
NOW, HERE IS THE CORRECT VERSION
6x - 10y = 8 Multiply equation 1 by 2
-6x + 6y = 6 Multiply equation by 2 by 3
_________
-4y = 14
y = -2/7
find the slope:(-8,-3) and (-2,1)
Answer:
2/3
Step-by-step explanation:
To find slope, we have:
change in y /(over) change in x
1-(-3) = 4, and -2-(-8) = 6, so 4/6 = 2/3, which is our answer.
The product of a number, x, and 0.28 is 13.44. Which equation matches this statement?
Answer Selection
0.28 divided x = 13.44
0.28x = 13.44
13.44x = 0.28
x divided 13.44 = 0.28
Answer: The correct equation that matches the statement "The product of a number, x, and 0.28 is 13.44" is:
0.28x = 13.44
This equation states that when a number x is multiplied by 0.28, the result is 13.44.
Step-by-step explanation:
1. So far, Marta has correctly predicted the winner of 6 out of 13 football games. She wants to know how many consecutive games she would have to predict correctly to raise the percent of correct predictions to 65%. (a) Write an equation to represent this situation. (3 points) (b) Solve the equation. Show all steps. (5 points) (c) Answer the question. How many consecutive games must she predict correctly to raise her percent to 65%? (1 point)
Answer:
[(6 + x) / 13+x] = 0.65
7
Step-by-step explanation:
Given that:
Total number of games = 13
Number of correct prediction = 6
Number of correct predictions needed to raise prediction % to 65%
(Number of correct predictions) / (total number of games) = 0.65
Let x = number of additional consecutive correct predictions
[(6 + x) / 13+x] = 0.65
Where x = number of consecutive predictions required
6 + x = (13 + x) * 0.65
6 + x = 8.45 + 0.65x
x - 0.65x = 8.45 - 6
0.35x = 2.45
x = 2.45 / 0.35
x = 7
7 consecutive correct predictions
what is the area principle? the area principle says that when images are used to compare amounts, the areas of the images should be proportional to the amounts. the images should be different for each amount. the area of the background should be clean and white, with no distractions. the images should be polygons, making it easier to assess the area.
The area principle is a fundamental concept in data visualization that states that the size of a graphical element (such as a bar, a pie slice, or a bubble) should be proportional to the quantity it represents.
In other words, the area of the graphical element should accurately reflect the magnitude of the data it is displaying. This principle is particularly important when comparing quantities, as it allows the viewer to quickly and accurately perceive the relative differences between them. For example, if two bars in a bar chart have the same width but different heights, the viewer may be misled into thinking that the two quantities are closer in magnitude than they actually are.
The area principle is often applied in conjunction with other principles of good data visualization, such as using clear and simple designs, avoiding clutter, and choosing appropriate scales and units. The goal is to create visualizations that are not only aesthetically pleasing but also informative and effective in communicating the underlying data.
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HELPPPP
A bicycle store costs $1800 per month to operate. The store pays an average of $40 per bike. The average selling price of each bicycle is $60. How many bicycles must the store sell each month to break even?
Answer:
0.22 or 0.2
Step-by-step explanation:
Two points on a linear graph are as follows: (-2, 3) & (4, 7). What is the slope of this line?
Answer:
slope is 10
Step-by-step explanation:
i graphed it using demos calculator
Let C be the event that a student received a grade of B or better in Calculus I and let S be event that a student received a grade of A in Statistics I. Which of the following denotes the probability that a student received an A in statistics given that the student received less than a B grade in Calculus I.
a. P(S'|C')
b. P(CIS)
c. P(SIC)
d. P(SIC)
The probability that a student received an A in Statistics I given that the student received less than a B grade in Calculus I can be denoted as P(S|C'). The correct option is (a) P(S'|C').
To represent the probability that a student received an A in Statistics I given that the student received less than a B grade in Calculus I, we need to consider the complement of the events.
The complement of event C (grade of B or better in Calculus I) is C' (grade less than B in Calculus I). Similarly, the complement of event S (grade of A in Statistics I) is S' (grade other than A in Statistics I).
Therefore, the probability that a student received an A in Statistics I given that the student received less than a B grade in Calculus I is denoted as P(S|C'). This notation indicates the conditional probability of event S occurring given that event C' has occurred.
Among the given options, (a) P(S'|C') correctly represents the desired probability. Option (b) P(CIS) represents the joint probability of events C, I, and S, which is not relevant to the given question.
Option (c) P(SIC) represents the joint probability of events S, I, and C, which is also not relevant. Option (d) P(SIC) is a duplicate of option (c) and does not represent the desired probability.
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Order from least to greatest −1/2, -1.5, -3/5, -0.3, 0, 0.8, 0.25, 1/3, 3/4, 2 3/4
Answer:
-1.5, -3/5, -1/2, -0.3, 0, .25, 1/3, 3/4, .8, 2 3/4
Pedro is ordering a taxi from an online taxi service. The taxi charges $4 just for the
pickup and then an additional $1.50 per mile driven. How much would a taxi ride
cost if Pedro is riding for 5 miles? How much would a taxi ride cost that is m miles
long?
Answer:
$4+$1.50m so $4+1.50*5= $11.50
determine the equation of the line
Answer:
y=5x-12
Step-by-step explanation:
the slope is 5 and y int. is -12
see image for question. HELP PLEASE
Answer: the last question at the very bottom
Step-by-step explanation:
the graph is not a scatter plot, so its a line plot .
What is the exponential function for the graph above . Form is p(t)=a•b^t
Answer:
5(2^x)
Step-by-step explanation:
plz help and give explaination of how to do it
Answer:
25% decreased by 60% is 10
Step-by-step explanation:
New value =
25 - Percentage decrease =
25 - (60% × 25) =
25 - 60% × 25 =
(1 - 60%) × 25 =
(100% - 60%) × 25 =
40% × 25 =
40 ÷ 100 × 25 =
40 × 25 ÷ 100 =
1,000 ÷ 100 = 10
hope this helps :)
An advertising company is purchasing a new industrial-sized color printer. The company has been approved for a $75,000 loan at two different
banks. The terms of each loan are:
Offer 1: 4.99% annual simple interest, with a total account balance of $91,529.38 after a 53-month term
Offer 2: 3.5% annual interest compounded monthly for a 62-month term
Assuming no payments are made, what is the difference in the account balances at the end of the loan terms. Round your answer to the nearest
penny.
O $1,624.49
$1,686.87
$1,894.02
O $2,207.67
The difference in the account balances at the end of the loan terms is given as follows:
$1,686.87.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)
In which:
P is the principal, which is the value of deposit/loan/....r is the interest rate, as a decimal value.n is the number of times that interest is compounded per year, annually n = 1, semi-annually n = 2, quarterly n = 4, monthly n = 12.The parameters for the offer 2 are given as follows:
P = 75000, r = 0.035, n = 12, t = 62/12.
Hence the balance of the offer 2 is given as follows:
B = 75000 x (1 + 0.035/12)^(12 x 62/12)
B = $89,842.51.
The balance of Offer 1 is of $91,529.38, hence the difference in the balances is given as follows:
91529.38 - 89842.51 = $1,686.87.
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