plaz..mmnj k,mnmnm 1
Answer:
Option 1
Step-by-step explanation:
3x - 7y = -7y + 3x
They have simply been moved to opposite ends of the equation.
A fair dice is rolled 3 times in a row. The outcomes are shown below.
Calculate the probability of all three events occurring.
Roll Outcome
1st 2
2nd prime
3rd more than 4
The probability of roll outcome:
1st 2 = 1/6
2nd prime = 1/2, and
3rd more than 4 = 1/3.
What is probabilityProbability is the fraction of the required outcome event divided by the number of possible outcomes of events.
In a fair die, considering the outcomes from the question:
There is only one side with the number 2There are only three prime numbers, 2, 3, and 5There are only two numbers more than 4, which are 5 and 6.probability of the 1st roll to be 2 = 1/6
probability of 2nd roll to be prime = 3/6
probability of 2nd roll to be prime = 1/2
probability of 3rd roll to be more than 4 = 2/6
probability of 3rd roll to be more than 4 = 1/3
Therefore, the fracions 1/6, 1/2, and 1/3 are the probabilities of the 1st, 2nd, and 3rd rolls outcome respectively.
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Find x. √11 X = √17 VIRI X
1.243 is the measure of the value of x from the given expression
Solving rational equationsRational equations are those that contain rational expressions. A rational expression is a fraction with polynomial numerator and denominator. A rational expression, in other terms, is a ratio between two polynomials.
Given the following rational equation
√11 x = √17
We need to determine the measure of the value of x.
Taking the square of both sides we will have:
(√11 x)² = (√17)²
11x² = 17
x² = 17/11
x² = 1.545
Take the square root of both sides
√x² = √1.545
x = 1.243
Hence the measure of the value of x from the given equation is 1.243.
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Help please!!!! 25 POINTS
A football is kicked into the air. Its path can be expressed using the equation:
h = -5t2 + 20.5t + 2 where h represents height in feet and t represents time in
seconds:
a) The initial height of the football at t = 0 is 2 feet.
b) The ball reaches its maximum height at approximately t = 2.05 seconds.
c) The maximum height of the ball is approximately 23.9 feet.
d) It takes approximately 4.579 seconds for the ball to hit the ground.
a) The initial height of the football at time t = 0 can be found by substituting t = 0 into the equation \(5t^2 + 20.5t + 2:h = -5(0)^2 + 20.5(0) + 2 = 0 + 0 + 2 = 2\)
Therefore, the initial height of the football is 2 feet.
b) To find the time at which the ball reaches its maximum height, we can observe the graph of the equation h = \(-5t^2 + 20.5t + 2.\) The maximum height corresponds to the vertex of the parabolic graph. The t-coordinate of the vertex can be calculated using the formula t = -b/2a, where a and b are the coefficients of the quadratic equation.
In this case, a = -5 and b = 20.5. Plugging these values into the formula, we get:
\(t = -20.5 / (2\times (-5)) = -20.5 / -10 = 2.05\)
Therefore, the ball reaches its maximum height at approximately t = 2.05 seconds.
c) The maximum height of the ball can be found by substituting the time t = 2.05 into the equation \(h = -5t^2 + 20.5t + 2:\)
h = -5(2.05)^2 + 20.5(2.05) + 2 ≈ -20.125 + 42.025 + 2 ≈ 23.9
Therefore, the maximum height of the ball is approximately 23.9 feet.
d) To find the time it takes for the ball to hit the ground, we need to determine when the height h becomes zero. We can set the equation \(-5t^2 + 20.5t + 2 = 0\) and solve for t.
This quadratic equation can be solved using factoring, the quadratic formula, or by graphing. The solutions are t ≈ -0.179 and t ≈ 4.579. Since time cannot be negative in this context, the ball takes approximately 4.579 seconds to hit the ground.
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what is the output when the input is (n) please help!
Subtract the output from the inputs and you find that the output is the input - 4
Output = n - 4
2b -7 ≥ 2 (-7+b) what is the answer
Answer: No solution/Empty Set
Step-by-step explanation: When you factor the 2(-7+b), you get 2b, which when moved to the other side cancels out the variable
3k - 14 = 3(k – 5) +1 one solution, no solution, or infinite solution
Aj jar of sweets contains 5 yellow sweets, 4 red sweets, 8 green sweets 4 orange sweets and 3 white sweets.
Ola chooses a sweet at random .what is the probability that she pick either a yellow or orange sweet ?
Answer:
\(\frac{9}{24}\)
Step-by-step explanation:
Add all the sweets together ( that will be your denominator )
5+4+8+4+3= 24
The probability she will pick and yellow and orange ( add those numbers together)
Yellow + orange = Numerator
5+4=9
How you answer should be lay out :
\(\frac{Orange+ yellow sweets}{Total amount of sweets}\)
Answer:
9/24
Step-by-step explanation:
add the sweets (for denominator) 5+4+8+4+3 =24 then add yellow + orange (which is 9)
State the domain of the relation.
Answer: The domain would be 1,2,3,4
Step-by-step explanation:
I need help with this question plzz
Answer:
40 miles away from home
To put it in yard would be 82,720
Step-by-step explanation:
3) Find the equation of the line through the point (2, 5) and with slope m = 2. Also, graph this line.
Therefore,
m = 2
\(\begin{gathered} 5=2(2)+b \\ 5-4=b \\ b=1 \end{gathered}\)\(y=2x+1\)when x = 1, y = 3
x = 2, y = 5
x = -1 , y = -1
x = -2, y = -3
Find the approximate slope of the line that contains the points (5.1, -2.8) and (6.4,-1.2). State whether the line is increasing, decreasing, horizontal, or vertical.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The slope is (fill in the blank)
B The slope is undefined
Is the line increasing, decreasing, horizontal, or vertical?
Horizontal
Increasing
Decreasing
Vertical
Answer:
slope = 16/13, increasing
Step-by-step explanation:
solve for the slope
-1.2-(-2.8)/(6.4-5.1)
= 16/13
it's positive meaning it's increasing
HHEELLPP ME PLEASE
1/2x + 1/3y = 3
Which of the following equations is equivalent to the given equation?
A. 3x + 2y = 3
B. 2x + 3y = 18
C. 3x + 2y = 18
a tank truck holds 33.8 kl of oil. How many gallons does it hold
if the williams spend 1/3 of their total monthly income for rent and 1/4 for food. what fraction of their money remains for other expenses each month?
The fraction of their money remains for other expenses each month is 5/12.
What is fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given:
Williams spend 1/3 of their total monthly income for rent and 1/4 for food.
The fraction of their money remains for other expenses each month,
= 1 - 1/3 - 1/4
= 5/12
Therefore, 5/12 is the remaining money.
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The table shows the monthly rainfall at a measuring station. What is the mean monthly rainfall? Round your answer to the nearest thousandth.
The mean monthly rainfall, Rounded to the nearest thousandth, is 2.520 inches.
To determine the mean monthly rainfall, we need to calculate the average of the rainfall values provided in the table. Here is the table:
| Month | Rainfall (in inches) |
|-------|----------------|
| January | 2.3
| February | 1.7
| March | 3.2
| April | 2.9
| May | 2.5
To find the mean monthly rainfall, we add up the rainfall values for each month and divide the sum by the total number of months. In this case, we have five months:
Mean Monthly Rainfall = (2.3 + 1.7 + 3.2 + 2.9 + 2.5) / 5
Calculating the sum of the rainfall values:
Mean Monthly Rainfall = 12.6 / 5
Dividing the sum by the number of months:
Mean Monthly Rainfall = 2.52
Rounded the result to the nearest thousandth, the mean monthly rainfall is approximately 2.520 inches.
Therefore, the mean monthly rainfall, rounded to the nearest thousandth, is 2.520 inches.
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Cassie has test grades of 62, 85 and 89 on the first three tests in herpre-algebra class. What are the possible scores she can make on thefourth test in order to make at least a letter grade of B after the fourthtest? A letter grade B means an average of at least 80. Let x represent thescore on the fourth test.(Write the answer in inequality form)
Explanation:
The test grade for 1st three tests = 62, 85, 89
Let the fourth test score = x
The result we hoping to get is grade B.
Let's find the average of the four test score
\(\text{Average = }\frac{Su\text{ m of all test score}}{nu\text{mber of test score}}\)\(\begin{gathered} s\text{ um of test scores = 62 + 85 + 89 + x} \\ nu\text{mber of test score = 4} \\ \frac{\text{62 + 85 + 89 + x}}{4}=\text{ Average} \end{gathered}\)\(\begin{gathered} A\text{ grade B represents atleast 80} \\ \text{Atleast represents }\ge \\ \frac{\text{62 + 85 + 89 + x}}{4}\text{ }\ge\text{ 80} \\ \frac{\text{236 + x}}{4}\text{ }\ge\text{ 80} \end{gathered}\)\(\begin{gathered} \text{236 + x }\ge\text{ }80(4) \\ \text{236 + x }\ge\text{ }320 \\ \text{subtract }236\text{ from both sides:} \\ 236\text{ - 236 + x }\ge\text{ }320\text{ - 23}6 \\ x\text{ }\ge\text{ 84} \end{gathered}\)This means Cassie needs to score 84 or more to get a grade of B
In ineq
how would i solve this problem
Answer:
30
Step-by-step explanation:
1500/50=30
There are 150 buttons in a box.
24 children take 3 buttons each.
How many buttons are left in the box?
Show your method.
Answer:
78 buttons left
Step-by-step explanation:
I multiplied 24 children by 3 buttons because each child took 3 buttons and I got 72 buttons taken.
Then I subtracted 150 buttons which is the starting number by 72 buttons (the amount taken by the child's) to get 78 buttons left in the box. ( I just separated negative 72 buttons into -50 and -22 to make it easier)
linda Put $610 in a savings account that pays 1.2% interest each year. Enrique puts $590 in a high-yield account that pays 3.9% interest each year.
PART A: After one year who has more money? How much more?
PART B: After a second year who has more money? How much more?
PART A: Linda has $4.41 more than Enrique after one year.
PART B: Enrique has $12.10 more than Linda after the second year.
PART A: After one year, we can calculate the amount of money each person has in their respective accounts.
For Linda's account:
Principal amount = $610
Interest rate = 1.2%
\(Interest $ earned = Principal $ amount \times (Interest rate/100) = $610 \times (1.2/100) = $7.32\)
\(Total $ amount after one year = Principal amount + Interest earned = $610 + $7.32 = $617.32\)
For Enrique's account:
Principal amount = $590
Interest rate = 3.9%
\(Interest $ earned = Principal amount \times (Interest rate/100) = $590 \times (3.9/100) = $22.91\)
Total amount after one year = Principal amount + Interest earned = $590 + $22.91 = $612.91
Comparing the two amounts, after one year Linda has more money.
The difference in the amount is:
$617.32 - $612.91 = $4.41
Therefore, Linda has $4.41 more than Enrique after one year.
PART B: After a second year, we need to calculate the amounts again.
For Linda's account:
Principal amount = $617.32
Interest rate = 1.2%
\(Interest earned = Principal amount \times (Interest rate/100) = $617.32 \times (1.2/100) = $7.41\)
Total amount after the second year = Principal amount + Interest earned = $617.32 + $7.41 = $624.73
For Enrique's account:
Principal amount = $612.91
Interest rate = 3.9%
\(Interest earned = Principal amount \times (Interest rate/100) = $612.91 \times (3.9/100) = $23.92\)
Total amount after the second year = Principal amount + Interest earned = $612.91 + $23.92 = $636.83
Comparing the two amounts, after the second year Enrique has more money.
The difference in the amount is:
$636.83 - $624.73 = $12.10
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Match the pronoun type to the example.
1. personal
many
2. reflexive
those
3. relative
her
4. possessive
whom
5. interrogative
himself
6. demonstrative
what
7. indefinite
we
HELP 100 POINTS
Answer:
1. Personal = We
2. Reflexive = Himself
3. Relative = Whom
4. Possessive = Her
5. Interrogative = What
6. Demonstrative = Those
7. Indefinite = Many
Hope this helps.
Answer:
1. Personal = I,We,they
2. Reflexive = Himself,herself, themselves, ourselves
3. Relative :Whom,who
4. Possessive = Her,him,
5. Interrogative = What,why,how,which,
6. Demonstrative :Those,these,that
7. Indefinite = Many,someone,
Question is in image and showing work isn’t necessary unless wanted to
Given,
The diameter of the circle is 18 feet.
The measure of the arc is 30 degree.
Required:
The area of the sector.
The radius of the circle is calculated as:
\(\begin{gathered} Radius\text{ =}\frac{diameter}{2} \\ Radius\text{ =}\frac{18}{2} \\ Rad\imaginaryI us=9\text{ feet} \end{gathered}\)The area of the sector of the circle is calculated as:
\(Area\text{ =}\frac{\theta}{360^{\circ}}\times2\pi(radius)\)Substituting the values then,
\(\begin{gathered} Area\text{ =}\frac{30^{\circ}}{360^{\circ}}\times2\times\frac{22}{7}\times9 \\ =\frac{3}{36}\times\frac{44}{7}\times9 \\ =\frac{1}{4}\times\frac{44}{7}\times3 \\ =\frac{11}{7}\times3 \\ =\frac{33}{7}\text{ feet}^2 \end{gathered}\)Hence, the area of the sector is 33/7 square feet.
Write a polynomial in standard form with the zeros -2, 1, and 2.
Hint: Remember a zero can be written as (x - a) where a is the zero. List the zeros then multiply them.
Answer:
x³ - x² - 4x + 4---------------------------
The polynomial has zeros - 2, 1 and 2.
It means it has factors:
(x + 2), (x - 1) and (x + 2)Multiply all factors together and convert to standard form:
(x + 2)(x - 2)(x - 1) = (x² - 4)(x - 1) = x³ - x² - 4x + 429 POINTS IF YOU CAN HELP ME!!!!!!!!!!!!!!!!!!!! A Striped bass is swimming at an elevation of −3 feet, while a flounder is swimming at an elevation of −11 feet. Write and interpret a statement of the order showing the elevation of the striped bass compared to the elevation of the flounder. (1 point)
Responses
A, −3 < −11; the flounder is at a higher elevation than the bass.
B, −3 > −11; the bass is at a higher elevation than the flounder.
.
C, −3 > −11; the flounder is at a higher elevation than the bass.
D, −3 < −11; the bass is at a higher elevation than the flounder.
The correct option is,
⇒ −3 > −11; the bass is at a higher elevation than the flounder.
Option B is true.
What is Elevation?
Elevation is distance above the sea.
Given that;
A stripes bass is swimming at an elevation of −3 feet.
And, A flounder is swimming at an elevation of −11 feet.
Clearly, The bass is at higher elevation than the flounder.
So, -3 > -11
Hence, The correct option is,
⇒ −3 > −11; the bass is at a higher elevation than the flounder.
Option B is true.
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Solve the equation 6x2 – 8x + 1 = x + 4 by writing a linear-quadratic system and solving using the intersection feature of a graphing calculator. Order your answers from least to greatest, and round to the nearest hundredth.
Answer:
-0.28, 1.78
Step-by-step explanation:
Plug it into a graphing calculator and see you have -0.281 as a intersection as well as 1.781. Then you round to the nearest hundred and get -0.28 and 1.78.
k ONLY ANSWER IF YOU KNOW
Answer:
The last one:
30(0.5b + 3.75)
The table shows three unique, discrete functions.
x f(x) g(x) h(x)
-1
0
3
185
15
2
3
0
-25
-10-204
2
3
2
-3
2
3
4
5
6
Which statements can be used to compare the
characteristics of the functions? Select three options.
Of(x) has the greatest maximum.
h(x) has the greatest x-intercept.
g(x) has the smallest minimum value.
All three functions share the same domain.
All three functions share the same y-intercept.
All thre functions share the same y intercept
We can analyze the characteristics of the given functions based on the information provided in the table.
We cannot determine which function has the greatest maximum based on the table alone, as we do not have the complete graph of any of the functions.
We can see from the table that h(x) has an x-intercept of 0, which is the smallest among the three functions. Therefore, we can say that h(x) has the smallest x-intercept.
We can see from the table that g(x) has a minimum value of -204, which is the smallest among the three functions. Therefore, we can say that g(x) has the smallest minimum value.
We cannot determine if all three functions share the same domain based on the table alone. We can only see that all three functions have been evaluated at the same set of input values.
We can see from the table that the y-intercept of f(x) is 2, the y-intercept of g(x) is 3, and the y-intercept of h(x) is 4. Therefore, we can say that all three functions have different y-intercepts.
Therefore, the statements that can be used to compare the characteristics of the functions are:
h(x) has the smallest x-intercept.
g(x) has the smallest minimum value.
All three functions have different y-intercepts.
12. Draw an acute scalene triangle. Describe
the angles and sides of the triangle.
show
work.
A drug company is testing a new drag which is supported to reduce blood pressure. From the nine people who are used as subjects, it is found that the average drop in blood pressure is 2.28 points, with a standard deviation of 0.82 points. What is the 95% confidence interval for the mean change in pressure?
Answer:
95% of the data falls between 0.64 and 3.92
Step-by-step explanation:
Using the Empirical Rule, 95% of the data will fall 2 standard deviations above and below the mean. Therefore, from the mean of 2.28, the lower change will be 2.28 - 2(0.82)= 0.64 and the upper change will be 2.28 + 2(0.82)= 3.92
What is the equation of the line in slope-intercept form -8 and 8 ?
Answer:
y = x - 8
Step-by-step explanation:
y = x - 8
Check your answer using (0, -8):
y = x - 8
-8 = 0 - 8
-8 = -8
This statement is true
Also, view the attached graph.
Hope this helps!