Answer:
- 3 comes first and the order is - 3, - 6/5, 1/6, √7, 45==========================
Given numbers1/6, - 3, √7, - 6/5, 45.Put these numbers in the ascending orderFirst, compare the negative numbers as they are smaller than positives since negatives are to the left from zero on the number line and positives are to the right.
- 3 vs - 6/5- 3*5/ 5 vs - 6/5- 15/5 vs - 6/5Since - 15 is smaller than - 6, the least number is - 3:
- 15/5 < - 6/5 ⇒ - 3 < - 6/5Now compare the positives.
1/6 is smaller than 1 as it is a fraction.√4 < √7 < √9 ⇒ 2 < √7 < 3, so √7 is between 2 and 3, hence greater than 1, therefore 1/6 < √7.And the greatest number is 45 as it is greater than 3.Therefore:
1/6 < √7 < 45The complete order is:
- 3, - 6/5, 1/6, √7, 45Answer:
-3 < -6/5 < 1/6 < √7 < 45
Step-by-step explanation:
Now the values will be,
→ 1/6 = 0.17
→ -3 = -3
→ √7 = 2.65
→ -6/5 = -1.2
→ 45 = 45
Let's arrange in ascending order,
→ -3, -1.2, 0.17, 2.65, 45
→ -3, -6/5, 1/6, √7, 45
Hence, number -3 comes first.
Write in point-slope form an equation of the line through the pair of points (4,0) and (8,7).
Answer:
y - 0 = -7/4(x - 4)
Step-by-step explanation:
Slope Formula: (y2 - y1) / (x2 - x1)
Point-Slope form Formula: y - y1 = slope(x -x1)
The slope of the points (4,0) and (8,7) is -7/4 plug in the numbers in the the point slope equation it will be y - 0 = -7/4(x - 4)
Answer: In point slope form, the equation would be:
(y-0) = 7/4 (x-4)
hope this helps :)
Step-by-step explanation:
answer yes or no (12 pts). is 87 ≡ 51 (mod 3)? is 34 ≡ 14 (mod 5)? is 7 ≡ 54 (mod 24)? is 39 ≡ 57 (mod 18)?A. Yes B. No
Yes, 87 ≡ 51 (mod 3), 34 ≡ 14 (mod 5), 7 ≡ 54 (mod 24), and 39 ≡ 57 (mod 18).
This is because the congruence relation allows us to compare two numbers modulo a number. This means that if two numbers are equal modulo the same number, then they are congruent.
In this case, 87 ≡ 51 (mod 3) because 87 - 51 = 36, which is divisible by 3, so the two numbers are equal modulo 3. The same is true for the other three pairs of numbers: 34 ≡ 14 (mod 5), 7 ≡ 54 (mod 24), and 39 ≡ 57 (mod 18).
The difference between each pair is also a multiple of the modulus, so they are congruent.
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if a player placed a $8 bet on red and a $5 bet on black in a single play in american roulette, what would be the expected value of his winnings?
The expected gain for the player from Americal Roulette is $5.18 after rounding off to the nearest cent.
There are a total of 38 places in American Roulette. 18 places are red.18 places are black.2 places are green.If the ball lands on the chosen color, the amount placed on the bet is doubled.Therefore the possibilities are-
Ball lands on greenBall lands on redBall lands on black.The probability that the ball lands on a particular color
= no. of places of color/ total no. of places.
Let A be the event that the ball lands on red.
Let B be the event that the ball lands on black.
Let C be the event that the ball lands on green.
P(A) = 18/38
P(B) = 18/38
P(C) = 2/38
Here, an $8 bet is placed on red, and a $5 bet on black.
If the ball lands on red then the gain will be
$16 - $5
= $11
If the ball lands on black then the gain will be
$10 - $8
= $2
If the ball lands on green, the gain will be
= -$8 - $5
= - $13
Let the expected gain be E
E = sum of the products of gain and the probabilities
= gain on red X P(A) + gain on black X P(B) + gain on green X P(C)
= 11 X 18/38 + 2 X 18/38 - 13 X 2/38
= 198/38 + 36/38 - 26/38
= 197/38
= $5.1842
Rounding this off to the nearest cent gives us
= $5.18 (since the next digit is less than 5)
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a ____ is a procedure performed for definitive treatment rather than diagnostic purposes.
A therapeutic procedure is a procedure performed for definitive treatment rather than diagnostic purposes.
A procedure performed for definitive treatment rather than diagnostic purposes is a therapeutic procedure. These procedures are aimed at treating or curing a particular condition, disease, or illness. Therapeutic procedures are used to relieve pain, restore function, improve mobility, or even save a patient's life. Unlike diagnostic procedures that are performed to identify a problem, therapeutic procedures involve actually treating the problem. Examples of therapeutic procedures include surgeries, chemotherapy, radiation therapy, and immunotherapy. These procedures are often more invasive than diagnostic procedures and may require anesthesia or sedation. The goal of a therapeutic procedure is to improve the patient's health and well-being, and they are an essential part of modern medical care.
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The perimeter of a rectangle is 48 inches. If the width of the rectangle is 6 inches, what is the length?
Please help random answers will be reported
Answer:
Length= 18 inches
Step-by-step explanation:
W = 6
P = 48
expand and simplify the following\((\sqrt{6} +\sqrt{3})(\sqrt{6}-\sqrt{3}) \\(\sqrt{5} -\sqrt{2} )(\sqrt{2} +\sqrt{5} )\)
Answer:
30 - 6{sqrt15}
Step-by-step explanation:
Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a minimum. f(x,y)=xy; 6x y=10
There is a maximum value of 7/6 located at (x, y) = (5/6, 7).
The function given to us is f(x, y) = xy.
The constraint given to us is 6x + y = 10.
Rearranging the constraint, we get:
6x + y = 10,
or, y = 10 - 6x.
Substituting this in the function, we get:
f(x, y) = xy,
or, f(x) = x(10 - 6x) = 10x - 6x².
To find the extremum, we differentiate this, with respect to x, and equate that to 0.
f'(x) = 10 - 12x ... (i)
Equating to 0, we get:
10 - 12x = 0,
or, 12x = 10,
or, x = 5/6.
Differentiating (i), with respect to x again, we get:
f''(x) = -12, which is less than 0, showing f(x) is maximum at x = 5/6.
The value of y, when x = 5/6 is,
y = 12 - 6x,
or, y = 12 - 6*(5/6) = 7.
The value of f(x, y) when (x, y) = (5/6, 7) is,
f(x, y) = xy,
or, f(x, y) = (5/6)*7 = 7/6.
Thus, there is a maximum value of 7/6 located at (x, y) = (5/6, 7).
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if x=5, y=-3, and z=-7 z=-7, evaluate 3x^2-9y/yz
3. Cynthia has 14 roses in a vase.
2 yellow roses
5 pink roses
3 white roses
4 red roses
Cynthia will randomly select 2 roses from the vase
with no replacement. What is the probability that
Cynthia will select a red rose and then a pink rose?
The probability that Cynthia will select a red rose and then a pink rose is approximately 0.22 or 22%.
Given information,
Yellow roses = 2
Pink roses = 5
White roses = 3
Red roses = 4
Favorable outcomes: Cynthia needs to select one red rose and then one pink rose.
A number of ways to select a red rose: Cynthia has 4 red roses in the vase.
A number of ways to select a pink rose: After selecting a red rose, there are 14 - 1 = 13 roses left in the vase. Out of these, 5 are pink roses.
Therefore, the number of favorable outcomes is 4 (red roses) multiplied by 5 (pink roses) = 20.
A total number of possible outcomes: Cynthia is selecting 2 roses from a vase with 14 roses, so the total number of possible outcomes is given by the combination formula:
Total possible outcomes = C(14, 2) = 14! / (2!(14-2)!) = 91.
Probability = Favorable outcomes / Total possible outcomes = 20 / 91 ≈ 0.22 or 22%.
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The sum of two numbers is 31. The product of the
two numbers is 150. What are the numbers?
Answer:
6x25
Step-by-step explanation:
i just knew
The correlation in error terms that arises when the error terms at successive points in time are related is termed _____. a. autocorrelation b. leverage c. multicorrelation d. parallel correlation
The correlation in error terms that arises when the error terms at successive points in time are related is termed autocorrelation
The correct answer is an option (a).
Correlation is the mutual connection between two or more variables. These variables can be dependent or independent but there should be random variables.
Autocorrelation is the degree of correlation between the values of the same variables across different data.
Instead of correlation between two different variables, the correlation is between two values of the same variable at times i and i + k.
It is used for the following two purposes:
- To detect non-randomness in data.
- To identify an appropriate time series model if the data are not random.
Therefore, The correlation in error terms that arises when the error terms at successive points in time are related is termed autocorrelation
The correct answer is an option (a).
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What is the solution to the system of equations? 4x + 2y = 1
5x = y - 18
Answer:
Step-by-step explanation:
X = -5/2
y = 11/2
Y= -2x + 1/2
Y= 5x + 18
Last year, Gena’s food cart business was $225 in debt. This year, the debt has tripled. Which expressions show how much Gena’s business is currently in debt? Check all that apply.
225(3)
(3)(–225)
–225 + 3
3 – 225
–225(3)
(3)(–225)
–225 + 3
3 – 225
–225(3)
Answer:
(3)(-225) and -225(3).
Step-by-step explanation:
First, since ¨in debt¨ is describing negative value, all of the expressions that have positive 225 is incorrect. Also, since the term ¨triple¨ is describing multiplcation, any expression that does not have multiplication is also incorrect. This process of elimination leads to two answers, which both are correct.
Answer:
A. 225(3)
B. (3)(–225)
C.–225 + 3
D. 3 – 225
E. –225(3)
Step-by-step explanation:
Edge 2021
6
b
D
h
14
C
a
B
Use the geometric mean (leg) theorem. What is
value of a?
07√2
O 2√70
O
20√5
O 70√5
Answer:
Step-by-step explanation:
\(\frac{6}{h}=\frac{h}[14}\\84=h^{2}\\h=\sqrt{84}\)
So, by the Pythagorean theorem,
\(a^{2}=14^{2}+(\sqrt{84})^{2}\\a^{2}=280\\a=\boxed{2\sqrt{70}}\)
A line that includes the point(8, 1)has a slope of 1/8 .What is its equation in slope -intercept form?
The slope intercept form of the line that includes the point (8, 1)
and has a slope of \(\frac{1}{8}\) is \(y = \frac{1}{8}x\)
What is equation of line in slope intercept form?
The most general form of equation of line in slope intercept form is given by y = mx + c
Where m is the slope of the line and c is the y intercept of the line.
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If \(\theta\) is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m = \(tan\theta\)
The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.
The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.
Slope = \(\frac{1}{8}\)
The line passes through (8, 1)
Required equation of line
\(y - 1 = \frac{1}{8}(x - 8)\\y - 1 = \frac{1}{8}x -1\\y = \frac{1}{8}x\)
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Urgent help!!
1. Donna bakes biscuits on a rectangle cookie sheet that is 30cm by 50cm. Each biscuit has a diameter of 8cm
A. What is the maximum number of biscuits Donna can bake at once on a cookie sheet?
B. If Donna bakes the maximum number of biscuits, what area do the biscuits take up on the cookie sheet?
Answer:
18
Step-by-step explanation:
we know that
[the area rectangular cookie sheet]=30*50--------> 1500 cm²
let's assume that each biscuit is inscribed in a square of 8 cm side
in the side of 30 cm can be placed -----> 30/8--------> 3.75-----> 3
in the side of 50 cm can be placed -----> 50/8--------> 6.25-----> 6
The maximum number of complete biscuits is 3*6------> 18 biscuits
the answer is 18 biscuit
Answer:
We know that
[the area rectangular cookie sheet]=30*50--------> 1500 cm²
let's assume that each biscuit is inscribed in a square of 8 cm side
in the side of 30 cm can be placed -----> 30/8--------> 3.75-----> 3
in the side of 50 cm can be placed -----> 50/8--------> 6.25-----> 6
The maximum number of complete biscuits is 3*6------> 18 biscuits
the answer is 18 biscuits
Step-by-step explanation: some other guy said it
Jesse wanted a stamp collection his grandfather gave him 48 stamps to start it then his parents gave him 23 stamps and his aunt gave him 17 stamps how many stamps does Jesse have in his collection
Answer:88
Step-by-step explanation:
Gianna invested $60,000 in an account paying an interest rate of 3.4% compounded
daily. Assuming no deposits or withdrawals are made, how much money, to the
nearest ten dollars, would be in the account after 11 years?
To the nearest ten dollars, there would be approximately $81,329 in the account after 11 years.
To calculate the future value of an investment with compound interest, we can use the formula:
FV = P(1 + r/n)^(nt)
Where:
FV = Future value
P = Principal amount (initial investment)
r = Annual interest rate (as a decimal)
n = Number of times interest is compounded per year
t = Number of years
In this case:
P = $60,000
r = 3.4% = 0.034 (as a decimal)
n = 365 (daily compounding)
t = 11 years
Plugging in these values, we can calculate the future value (FV):
FV = $60,000 * (1 + 0.034/365)^(365*11)
Calculating this expression, we find:
FV ≈ $60,000 * (1.000093835)^40015 ≈ $81,329.20
Therefore, to the nearest ten dollars, there would be approximately $81,329 in the account after 11 years.
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help meeeeeeeeeeee pleaseeeeeeeeeeeeee!!
PLEASE ANSWER!!! 100 Points!
Can a square be determined given only
the length of a diagonal? Explain your
answer.
Answer:
No
Step-by-step explanation:
A diagonal divides a square into two congruent right trianglesWe can use the side lengths of the square to find the length of the diagonal.The angles of a square are equal to 90°If a item goes from 1.50 to 2.20 what's the percent increase
Please help me ASAP! Thank you! 15 points
Simon and his friends have 27 pieces of candy. They split them up evenly and each person get 9 pieces. How many people are there? Select the correct equation and solve for p.
A. 27 = 9p; p = 3
B. 9 + p = 27; p = 18
C. p/27 = 9; p = 3
D. 9 = 27 - p; p = 18
Answer:
\( \sf \: a) \: 27 = 9p \: ; p = 3\)
Step-by-step explanation:
Given information,
→ Simon have 27 pieces of candy.
→ Each person will get 9 pieces.
Now we have to,
→ Find the required equation.
The equation will be,
→ 27 = 9p
→ 9p = 27
=> As each person (p) gets 9 pieces.
Then the value of p will be,
→ 9p = 27
→ p = 27 ÷ 9
→ [ p = 3 ]
Hence, option (a) is correct.
Evaluate each expression. Write your answer in exact form. If the expression is undefined, write undefined.
sin (-330°)
If the expression is undefined, sin (-330°) = 1/2.
The value of sin (-330°) can be evaluated using the unit circle or the periodicity property of the sine function.
First, let's convert -330° to its equivalent angle within one revolution:
-330° = -360° + 30°
Since the sine function has a periodicity of 360°, we can rewrite -330° as:
-330° = 30°
Now, we can evaluate the sine of 30°, which is a well-known value:
sin(30°) = 1/2
Therefore, sin (-330°) = 1/2.
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7.G.1.3 The figure below shows a cube of side length 6 units. 6 Draw the shape of a vertical slice through the cube, assuming the slice is parallel to one of the faces of the cube. Label the dimensions of your drawing. please help I am struggling with this one
Answer:
the second dimension 2D
Sam’s school is selling candles and baskets for a fundraiser. On the first day of sales she sold 11 candles and 3 baskets for a total of $82. She raised $114 on the second day by selling 12 candles and
6 baskets. What is the price for one candle and one basket?
Answer:
Okay, so its kinda funny that you ask this question because its on our performance final that's due tomorrow but use elimination.
Step-by-step explanation:
pls help me i'll give brainliest
Answer:
Step-by-step explanation:
Solve for the value of v.
(2v+8)
(3v-8)⁰
The value of v, using the angle addition postulate, is given as follows:
v = 18.
What does the angle addition postulate state?The angle addition postulate states that if two or more angles share a common vertex and a common angle, forming a combination, the measure of the larger angle will be given by the sum of the measures of each of the angles.
For this problem, we have three angles forming a ray, meaning that they have a total measure of 180º, and the smaller measures are given as follows:
2v + 8.90º.3v - 8.Hence the value of v is obtained as follows:
2v + 8 + 90 + 3v - 8 = 180
5v = 90
v = 18.
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Suppose you park your car at a trailhead in a national park and begin a 2-hr hike to a lake at 7 A.M. on a Friday morning. On Sunday morning, you leave the lake at 7A.M. and start the 2-hr hike back to your car. Assume the lake is 3 mi from your car. Let f(t) be your distance from the car r hours after 7 A.M. on Friday morning and let g(t) be your distance from the car t hours after 7 A.M. on Sunday morning.
a. Evaluate f(0), f(2), g(0), and g(2).
b. Let h(t) = f(t) - g(t). Find h(0) and h(2).
c. Use the Intermediate Value Theorem to show that there is some point along the trail that you will pass at exactly the same time of morning on both days.
Answer:
The answer is given below
Step-by-step explanation:
The distance from the lake to the car is 3 miles and it takes 2 hours. The velocity of the hiker is 3/2 mi/hr. Therefore f(t) which is the distance from the car t hours after 7 A.M is given by:
\(f(t)=\frac{3}{2}t\)
When coming back on Sunday morning, the distance g(t) from the car at any point in time is given by:
\(g(t)=3-\frac{3}{2}t\)
a)
\(f(t)=\frac{3}{2}t\\f(0)=\frac{3}{2}(0)=0\ mile\\f(2)=\frac{3}{2}(2)=3\ miles\)
\(g(t)=3-\frac{3}{2}t\\g(0)=3-\frac{3}{2}(0)=3\ miles\\g(2)=3-\frac{3}{2}(2)=2-2=0\ mile\\\)
b)
\(h(t)=f(t)-g(t)=\frac{3}{2}t -(3-\frac{3}{2}t)=\frac{3}{2}t -3+\frac{3}{2}t=3t-3\\h(t)=3t-3\\h(0)=3(0)-3=0-3=-3\\h(2)=3(2)-3=6-3=3\)
c)
According to Intermediate Value Theorem, there exist a point b where f(b) = g(b). i.e. f(b) - g(b) = 0
\(h(b)=f(b)-g(b)=0\\h(0)=-3,h(2)=3\)
This means there exist a point b within the interval [-3, 3] where f(b) - g(b) = 0
6.7 Section 6.7 Integer Exponents and Scientific Notation
Convert from Decimal Notation to Scientific Notation
In the following exercises, write each number in scientific notation.
741. 0.00429
0.00429 can be expressed in scientific notation as 4.29 x 10^(-4). This notation makes it easier to work with very small or very large numbers by representing them in a compact form.
Scientific notation is a way of expressing numbers as a product of a coefficient and a power of 10. In order to write 0.00429 in scientific notation, we need to move the decimal point to the right until there is only one non-zero digit to the left of the decimal point. Count the number of places the decimal point was moved. If the decimal point is moved to the left, the exponent is positive, and if it is moved to the right, the exponent is negative.
Starting with 0.00429, we move the decimal point four places to the right to obtain 4.29. Since we moved the decimal point to the right, the exponent will be negative. The exponent is equal to the number of places we moved the decimal point, which in this case is 4. Therefore, we have 4.29 x 10^(-4).
0.00429 can be expressed in scientific notation as 4.29 x 10^(-4). This notation makes it easier to work with very small or very large numbers by representing them in a compact form.
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Better Crocker is baking a cake. She needs 2 1/4 cups of sugar and 1 1/2 cups of brown sugar. How much sugar does she need in all?
Answer:
3 3/4 cups of sugar
Step-by-step explanation: