Answers
Hello,
The parabola has vertex=(0,1) and is passing through (1,3)
y=k(x-0)²+1
3=k*1+1 ==> k= 2
y=2*x²+1
Related Questions
The radius of a circle is 16 cm. Find its area in terms of \piπ.
Answers
Answer:
2526.618
Step-by-step explanation:
To find the are of a circle you do r π²
So, 16 x π = 50.265, then 50.265² is 2526.618
please graph y≤ 2x-3
Answers
What is discrete variable and example?
Answers
the number of siblings a person has is a discrete variable because it can only be a whole number (0, 1, 2, 3, etc.).
In statistics and mathematics, a variable is a value or set of values that can change or be assigned different values. A discrete variable is a variable that can only take on certain specific values.
For example, Another example is the number of heads in a coin flip, which can only be 1 or 0. These are examples of discrete variables. In contrast, a continuous variable is a variable that can take on any value within a given range.
For example, the weight of a person is a continuous variable because it can be any number within a certain range (e.g. between 0 and 500 pounds).
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Consider the following system of equations
x+3y=1
kx+3y=1
For which value(s) of k does the system admit a unique solution?
Answers
The system of equations will admit a unique solution for all values of k except k = 1.
To determine the values of k for which the system of equations admits a unique solution, we can use the concept of determinant.
The system of equations can be written in matrix form as:
| 1 3 |
| k 3 |
For a system of equations to have a unique solution, the determinant of the coefficient matrix must be non-zero.
The determinant of the coefficient matrix is given by:
Det = (1 * 3) - (k * 3) = 3 - 3k
For a unique solution, the determinant should not be zero. Therefore, we need to find the values of k that make the determinant non-zero.
3 - 3k ≠ 0
Simplifying the equation:
-3k ≠ -3
Dividing both sides by -3:
k ≠ 1
Thus, the system of equations will admit a unique solution for all values of k except k = 1.
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What is the probability that either event will occur?
15
A
17
B
2
P(A or B) = P(A) + P(B)
P(A or B) = [?]
Answers
The probability that either event will occur is 0.83
What is the probability that either event will occur?From the question, we have the following parameters that can be used in our computation:
Event A = 18
Event B = 12
Other Events = 6
Using the above as a guide, we have the following:
Total = A + B + C
So, we have
Total = 18 + 12 + 6
Evaluate
Total = 36
So, we have
P(A) = 18/36
P(B) = 12/36
For either events, we have
P(A or B) = 30/36 = 0.83
Hence, the probability that either event will occur is 0.83
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![What is the probability that either event will occur?15A17B2P(A or B) = P(A) + P(B)P(A or B) = [?]](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/5dd7e3IsxzB7UDoPS50kjKaWnZ2gZOhz.jpeg)
A sphere has a volume of V = 1764 in. Find its surface area.
Answers
Answer:
The surface area is 706.02
Step-by-step explanation:
SA = 224.4pi (704.62)
Alternatively (706.02 without rounding)
First, we need to find the radius of the sphere with the following equation
\(r = (3\frac{V}{4\pi } )^\frac{1}{3} \\r = (3\frac{1764}{12.56} )^\frac{1}{3} \\r = (3*140.45)^\frac{1}{3} \\r = (421.35)^\frac{1}{3} \\r = 7.49\)(pi as 3.14)
Now we can find the surface area using the following equation
\(SA = 4r^2\pi \\SA = 4(56.1)\pi \\SA = 224.4\pi \\\)
13 20 Convert to a percentage.
Answers
Answer:
65%Answer and Explanation:
13/20 written as a decimal is 0.65 and as a percent is 65%.
Which expression uses the associative property to make it easier to evaluate
6.)?
O A. (6)
O B. (6-3);
OC. 6(3)
OD D. 3(5.5)
Answers
9514 1404 393
Answer:
B
Step-by-step explanation:
The associative property just moves parentheses, without changing the values or order of the operands. The only expression for which that is true is ...
B. (6·1/3)·7/5
WILL GIVE BRAINLIEST‼️
PLEASE SHOW WORK:)
Answers
Answer:
(6x + 5)(x + 2)
Step-by-step explanation:
x coefficients must multiply to 6
so 6 * 1 or 2*3
10 must be 5*2 or 1* 10
(6x + 5)(x + 2) = (6x² + 12x + 5x + 10) = 6x² + 17x + 10
No Spamming or will report! Will give Brainliest. Must have explanation
Find four consecutive even integers such that the least plus twice the greatest equals 264
Answers
The four consecutive integers in the question are; 51, 52, 53, 54
What is the Sum of the Integers?Let the four consecutive integers in the question be;
x, x + 1, x + 2 and 2(x + 4)
Now, we are told that the sum of these four consecutive integers is 264. Thus;
x + x + 1 + x + 2 + 2(x + 3) = 264
Expanding the bracket gives;
3x + 3 + 2x + 6 = 264
5x + 9 = 264
5x = 264 - 9
5x = 255
x = 255/5
x = 51
Thus;
Second integer = 51 + 1 = 52
Third integer = 51 + 2 = 53
Fourth Integer = 51 + 3 = 54
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which equation has no solution?
Answers
Answer:
Equation 5 + 2(3 + 2x) = x + 3(x + 1) has no solution.
Step-by-step explanation:
We are looking at two lines.
4(x + 3) + 2x = 6(x +2)
4x + 12 + 2x = 6x + 12
6x + 12 = 6x + 12
These are two identical lines, with an infinite number of solutions. (All points on the lines are the exactly the same).
5 + 2(3 + 2x) = x + 3(x + 1)
5 + 6 + 4x = x + 3x + 3
4x + 11 = 4x + 3
Both lines have the same gradient but have a different incline with the y axis. By definition, they are parallel to each other and there fore have zero solutions. Equation 5 + 2(3 + 2x) = x + 3(x + 1) has no solution, which is the answer we are looking for.
5(x + 3) + x = 4(x +3) + 3
5x + 15 + x = 4x + 12 + 3
6x + 15 = 4x + 15
These are two different lines with exactly one solution.
4 + 6(2 + x) = 2(3x + 8)
4 + 12 + 6x = 6x + 16
6x + 16 = 6x + 16
These are two identical lines, with an infinite number of solutions. (All points on the lines are the exactly the same).
The area of a circle is 95.75cm2.
Find the length of the radius rounded to 2 DP.
Answers
Answer:
5.52 cm
Step-by-step explanation:
area of circle =pi r^2
r=square root (95.75/pi)
=5.52
Solve the following equation for f. Be sure to take into account whether a letter is
capitalized or not.
f/R = 4H - N
Answers
Solving the equation for f will give us:
\(f = 4HR - NR\)
To solve for f in the equation, \(\frac{f}{R} = 4H - N\), you would apply the knowledge of change of subject formula by rearranging the formula so that variable f will stand alone on one side of the equation.Thus:\(\frac{f}{R} = 4H - N\) (given)
Multiply both sides of the equation by R\(\frac{f}{R} \times R = (4H - N) \times R\) (Multiplication property of equality)
Open bracket\(f = 4HR - NR\)
Therefore, solving the given equation for f, we will have:
\(f = 4HR - NR\)
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True or False. Horizontal translations move a graph up and down.
Answers
Answer:
false
Step-by-step explanation:
horizontal is left and right
(Computer Exercise) In this exercise, we study the effect of educational attainment on the time spent sleeping per week using the data in PS2 Q4.dta, which contains observations for 676 individuals. Consider the simple regression model: sleep =β
0
+β
1
educ+u, where sleep is minutes spent sleeping at night per week and educ is years of schooling. (a) Find the sample mean and standard deviation of sleep and educ: (b) Draw a scatter plot of sleep versus educ. Do you observe a positive/negative/no correlation between these two variables? (c) Run the regression of sleep on educ (with an intercept). Write down the estimated equation together with the sample size and R
2
. (d) Interpret the estimated coefficient on educ: (e) Draw a scatter plot of sleep against educ with the fitted regression line (based on the regression in (c)) displayed in the same figure.
Answers
The effect of educational attainment on the time spent sleeping per week is examined using the simple regression model sleep = β0 + β1educ + u. The sample mean and standard deviation of sleep and educ can be calculated using the data in PS2 Q4.dta.
What is the sample mean and standard deviation of sleep and educ?To find the sample mean of sleep and educ, sum up all the values of sleep and educ respectively and divide by the total number of observations.
The standard deviation can be calculated by taking the square root of the variance, where the variance is the average of the squared deviations from the mean.
These calculations provide measures of central tendency and dispersion for the variables sleep and educ.
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WHAT IS THE factor of 28 and 25.
Answers
Answer: 1
Step-by-step explanation:
When you compare the two lists of factors, you can see that the only common factor is 1.
the answer would be 1
when you compare the 2 you can see othe only common factor is 1
Henri bought a swim suit at a cost of $8. Which statements are true regarding the cost of the suit? Select three options. If the selling price is marked up by 25 percent, the new price will be $10. If the selling price is marked up by 40 percent, the new price will be $7.50. If the selling price is marked up by 55 percent, the new price will be $5.50. If the selling price is marked up by 70 percent, the new price will be $13.60. If the selling price is marked up by 75 percent, the new price will be $14.
Answers
The cost price of a swim-suit, C.P.=$8
Option 1:
If the selling price is marked up by 25%, the new selling price is
\(S.P.=C.P.+C.P.\times 25\%\)
\(=8+8\times\frac{25}{100}\)
=8+2
=10
So, the selling price will be $10 which is the same as the mentioned selling price.
Hence, this option is correct.
Option 2:
If the selling price is marked up by 40%, the new selling price is
\(S.P.=C.P.+C.P.\times 40\%\)
\(=8+8\times\frac{40}{100}\)
=8+3.20
=11.20
So, the selling price will be $11.20 which is not the same as the mentioned selling price, $7.50.
Hence, this option is wrong.
Option 3:
If the selling price is marked up by 55%, the new selling price is
\(S.P.=C.P.+C.P.\times 55\%\)
\(=8+8\times\frac{55}{100}\)
=8+4.40
=12.40
So, the selling price will be $12.40 which is not the same as the mentioned selling price, $5.50.
Hence, this option is wrong.
Option 4:
If the selling price is marked up by 70%, the new selling price is
\(S.P.=C.P.+C.P.\times 70\%\)
\(=8+8\times\frac{70}{100}\)
=8+5.60
=13.60
So, the selling price will be $13.60 which is the same as the mentioned selling price.
Hence, this option is correct.
Option 5:
If the selling price is marked up by 75%, the new selling price is
\(S.P.=C.P.+C.P.\times 75\%\)
\(=8+8\times\frac{75}{100}\)
=8+6
=14
So, the selling price will be $14 which is the same as the mentioned selling price.
Hence, this option is correct.
Answer: A,D,E
Step-by-step explanation:
What is one over seven raised to the third powerequal to?
one over ten
three over twenty-one
one over three hundred forty-three
three over two thousand four hundred one
Answers
The statement which represents the expression one over seven raised to the third power is Option (C) one over three hundred forty-three is the correct option.
We are given the expression:
one over seven raised to the third power
This can be written as:
(1 / 7) ³
Simplifying and solving the expression by finding the cube of 1 and 7.
1³ = 1
7³ = 343
So, the expression will now become:
(1 / 7) ³ = 1 / 343
which can also be written as:
one over three hundred forty - three
Therefore, option (C) one over three hundred forty-three is the correct option which represents the expression one over seven raised to the third power.
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a train is leaving the station and goes from 3m/s to 30 m/s in 12 s. The acceleration of the train is
Answers
Answer:2.25 m/s^2
Step-by-step explanation:
a = (v-u)/t = 27/12 = 2.25 m/s^2
Work out the value of angle x.
X
62°
Answers
Step-by-step explanation:
the question is not clear
John owns 800 shares in tesla stock. the company instituted a 7 for 2 stock split. before the split
the stock was priced at $935. the company has 1 million shares outstanding before the split.
how many shared did john own after the split?
b. how many shares were outstanding after the split?
c.
what was the market capitalization before the split?
d. what was the market capitalization after the split?
e.
what this a monetary non-event? yes or no
f. why would the company split the stock?
Answers
To calculate the number of shares John owned after the stock split, we can follow these steps:
a. Initially, John owned 800 shares.
b. The stock split ratio is 7 for 2. This means that for every 2 shares owned before the split, John will receive 7 shares after the split.
John's initial 800 shares can be divided into 400 groups of 2 shares.
Each group of 2 shares will be converted into 7 shares after the split.
Therefore, John will own 400 groups multiplied by 7 shares, which equals 2,800 shares after the split.
c. Before the split, the company had 1 million shares outstanding.
d. After the split, we can calculate the number of outstanding shares by multiplying the pre-split number of shares by the split ratio:
1 million shares multiplied by the split ratio of 7/2 equals 3.5 million shares outstanding after the split.
e. To determine if the stock split was a monetary non-event, we need to compare the total value of John's shares before and after the split. Since the split does not affect the overall value of John's shares, it can be considered a monetary non-event. Therefore, the answer is yes.
f. Companies often decide to split their stock for various reasons, including:
Lowering the stock price: A stock split reduces the share price, making it more affordable for individual investors to buy shares. This increased affordability may attract new investors and increase liquidity in the stock.
Enhancing marketability and trading volume: A lower share price resulting from a stock split can make the stock more appealing to a broader range of investors, potentially increasing trading volume and market activity.
Psychological effect: A stock split can create a perception of positive momentum and confidence in the company, which may attract more investors and increase demand for the stock.
Increased flexibility for future offerings: A stock split can provide a company with more flexibility for potential future offerings, such as stock options, employee stock purchase plans, or acquisitions.
It's important to note that the specific reasons for a stock split may vary depending on the company's objectives and market conditions.
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x+5y=-5 find x and y intercept
Answers
Answer:
x= (5,0) y= (0,1)
Step-by-step explanation:
Expand & simplify
4(9+5) + 2(9+3)
Answers
Answer:
80
Step-by-step explanation:
4×9=36
4×5=20
2×9=18
2×3=6
36+20+18+6=80
Answer:
YO. I think the answer is 14?
Step-by-step explanation:
Sofia was following a recipe to cook for her friends. She only used ⅔ of the chicken in the recipe because it was a small gathering. If she ended up using 2.5 pounds of chicken, how many pounds of chicken are called for in the actual recipe?
Answers
Answer:
3.75
Step-by-step explanation:
Divide 2.5 by 2 to find out what 1/3 would be, then multiply that by 3 to get your answer - 3.75 pounds of chicken are called for
Hopefully this helps- let me know if you have any questions
a club consisting of six distinct men and seven distinct women. in how many ways can we select a committee of four persons has at least one woman?
Answers
The number of ways to select a committee of four persons from a club consisting of six distinct men and seven distinct women, where the committee must include at least one woman, is given by the expression 7C1 × 6C3 + 7C2 × 6C2 + 7C3 × 6C1 + 7C4.
To determine the number of ways to form the committee, we can consider two cases: one with exactly one woman selected and another with more than one woman selected.
Case 1: Selecting exactly one woman: There are seven choices for selecting one woman and six choices for selecting three men from the remaining six men. The total number of combinations for this case is 7C1 ×6C3.
Case 2: Selecting more than one woman: We need to consider combinations with two women and two men, three women and one man, and all four women. The total number of combinations for this case is 7C2 × 6C2 + 7C3 × 6C1 + 7C4.
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what is 7x + 6 +2x = 60 .
Answers
Answer:
\(x = 6\)
Step-by-step explanation:
\(7x + 6 + 2x = 60 \\9x + 6 = 60\)
add \(-6\) to both sides
\(9x + 6 - 6 = 60 - 6 \\9x = 54\)
Divide both sides by \(9\)
\(\frac{9x}{9} = \frac{54}{9}\)
\(x = 6\)
What is the sum of this expression?
2 1/16 + 7 3/8
A. 9 1/4
B. 9 7/16
C. 9 3/4
D. 9 7/8
Answers
Answer: \(9\frac{13}{24}\)
Step-by-step explanation:
Add 2 and 7.
9
Add 1/16 and 3/8 = 13/24
9 13/24 is the answer.
Answer:
b. 9 7/16
Step-by-step explanation:
2 1/16 + 7 3/8
= 33/16 + 59/8
= 33/16 + 118/16
= 151/16
= 9 7/16
if a person consumes 65 grams of protein and a total of 2700 kcalories per day, approximately what percentage of energy would be derived from protein?
Answers
Approximately 9.63% of the energy consumed by the person would be derived from protein.
How to calculate percentage of energy from protein?To calculate the percentage of energy derived from protein, we need to first convert the amount of protein consumed from grams to calories. Protein provides approximately 4 calories per gram. Therefore, 65 grams of protein would provide:
65 grams * 4 calories/gram = 260 calories
This gives us 260 calories from protein.
To find the percentage of energy derived from protein, we can divide the calories from protein by the total calories consumed and multiply by 100:
260 calories / 2700 calories * 100% ≈ 9.63%
Therefore, approximately 9.63% of the energy consumed by the person would be derived from protein.
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What is this expression in simplified form?
4/14 - 11/14
Answers
Answer:
baiBsiasbisvdxhsbhssj
Answer:
-1/7
is the answer of your question
i need this answered
Answers
Answer:
69 pi is your answer.
6 x 10 is 60