Answer:
√y-6
Step-by-step explanation:
36/6=6
36 is the dividend, 6 is the divisor and 6 is the quotient.
Answer:y^2-6 step by step
Step-by-step explanation:
A light bulb manufacturer claims that the mean life of a certain type of light bulb is 750 hours. If a random sample of 36 light bulbs has a mean life of 725 hours with a standard deviation of 60 hours. Use a=0.05
a. State the null and alternative hypotheses.
b. State the Type I and Type II errors.
c. Find the critical value. Do you have enough evidence to reject the manufacturer’s claim?
d. Find the p-value.
e. Construct a 95% confidence interval for the population mean.
Please show work if you can! Thank you!
If -7(y-3)= -14. What is the value of x?
Answer:
none
Step-by-step explanation:
no x because (y-3)=14 so the x wouldnt repeat
Answer:
y = 5
Step-by-step explanation:
-7(y-3)= -14
Divide each side by -7
-7/-7(y-3)= -14/-7
y-3 = 2
Add 3 to each side
y-3+3 = 2+3
y = 5
the belt (orbit) of the asteroids is located between . group of answer choices venus and mercury saturn and uranus jupiter and mars earth and mars
The main belt is not located between these all planets.
What is orbit?
A route that an object in space follows around another is known as an orbit. A satellite is a thing that orbits the earth. An Earth- or moon-like natural satellite is one possibility. Moons are satellites that orbit many planets. A man-made satellite is also possible, such as the International Space Station.
The belt of asteroids is located between the orbits of Mars and Jupiter. The asteroids in this region, known as the main belt, are made up of small rocky bodies that orbit the sun in a region between about 2.2 and 3.2 astronomical units (AU) from the sun.
The distance from the sun to the Earth is about 1 AU, and the distance from the sun to Venus is about 0.7 AU, so the main belt is located beyond the orbits of both Venus and Earth.
The orbits of Saturn and Uranus are much farther out from the sun, at distances of about 9.5 and 19.2 AU, respectively, so the main belt is not located between these planets.
Hence, The main belt is not located between these all planets.
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choose the correct statement of the rule; then complete the table for missing values. A merchant adds $3.00 to his cost to determine his selling price.
We have to find a relation between selling price in function of cost C.
If C is the cost, then the selling price is a function of C: f(
What is the value of tan(60°)?
A
01
12
300
03
03
2.
В
60°
6
п
с
Answer:
√3 is the answer
Step-by-step explanation:
the value of tan60 is √3
look at this system of exquations. y=2x-1 4x +y=2 which shows a correct step using substitution to solve the system of equations?
The solution to the system of equations is x = 0.5, y = 0
How to solve the system of equations?The system of equations is given as:
y = 2x-1
4x + y=2
Substitute y = 2x-1 in 4x + y=2
4x + 2x-1 =2
Evaluate the like terms
6x = 3
Divide by 6
x = 0.5
Substitute x = 0.5 in y = 2x-1
y = 2 * 0.5 - 1
Evaluate
y = 0
Hence, the solution to the system of equations is x = 0.5, y = 0
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NO LINKS!!! URGENT HELP PLEASE!!!
Express the statement as an inequality.
a. x is negative
1. x = 0
2. x < 0
3. x > 0
4. x ≥ 0
5. x ≤ 0
b. y is nonnegative .
1. y < 0
2. y ≥ 0
3. y ≤ 0
4. y = 0
5. y > 0
c. q is less than or equal to π
1. q = π
2. q < π
3. q > π
4. q ≥ π
5. q ≤ π
Answer:
Step-by-step explanation:
a. x is negative: x < 0
b. y is nonnegative: y ≥ 0
c. q is less than or equal to π: q ≤ π
Answer:
a.
2. x < 0
b.
2. y ≥ 0
c.
5. q ≤ π
Step-by-step explanation:
To express the given statements as an inequality, we need to determine the relationship between the given quantities.
a. The statement "x is negative" means that x is less than 0. Mathematically, we can represent this as x < 0.
b. The statement "y is nonnegative" means that y is greater than or equal to 0. Mathematically, we can represent this as y ≥ 0.
c. The statement "q is less than or equal to π" means that the value of q is either equal to π or less than π. Mathematically, we can represent this as q ≤ π.
Simplify - 4 of u-2
Answer:
it's 30
Step-by-step explanation:
30+4_2= dakukabilat
What is -20/2(7 2/3)
The simplified form of -20/2(7 2/3) is -230/3.
To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.
First, let's convert the mixed number 7 2/3 to an improper fraction.
7 2/3 = (7 * 3 + 2) / 3 = 23/3
Now, let's substitute the value back into the expression:
-20/2 * (23/3)
Next, we simplify the multiplication:
-10 * (23/3)
To multiply a fraction by a whole number, we multiply the numerator by the whole number:
-10 * 23 / 3
Now, we perform the multiplication:
-230 / 3
Therefore, the simplified form of -20/2(7 2/3) is -230/3.
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The sum of two consecutive odd integers
is 540. What are the integers?
Answer:
The integers are 269 and 271.
Step-by-step explanation:
Since the sum of two consecutive odd integers is 540, to determine what are the integers, the following calculation must be performed:
Odd integer 1: X
Odd integer 2: X + 2
X + X + 2 = 540
2X + 2 = 540
2X = 540 - 2
X = 538/2
X = 269
Therefore, the integers are 269 and 271.
10 Points please help with my calculus HW
A point moves along the curve y = squareroot of X , in such a way that the y-component of the position of the point is increasing at a rate of 5 units per second. At what rate is the x-component changing for each of the following values?
(a) x = 1/5
dx/dt = ___?___
(b) x = 1
dx/dt=___?___
(c) x=4
dx/dt = ___?___
Thank you
The values based on the calculus computed will be 10✓5, 10✓1, and 20.
How to calculate the value?dy/dt = 5 units.
Differentiate with respect to t.
dx/dt = 1/2✓x dx/dt
dyldt = 5.
dx/dt = 2✓x × 5 = 10✓x
a. When x = 1/5
dx/dt = 10 × ✓1/5 = 10✓5
b. x = 1
Differentiate it
dx/dt = 10✓1
c. x = 4
dx/dt = 10✓4 = 20
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(5.13x10^-2)-(3.9x10^-3)
Answer:
0.0474x if you want it simplify
Step-by-step explanation:
Answer:
The answer is
→ \(0.0474\)
Step-by-step explanation:
Step 1: Calculate the expression inside the parentheses.
\((5.13*10^-^2)-(3.9*10^-^3)\)
Step 2: Simplify exponents and square roots
\((5.13*10^-^2)-(3.9*10^-^3)\)
\(=(5.13*0.01)-(3.9*10^-^3)\)
Step 3: Perform any multiplication or division, from left to right:
\((5.13*0.01)-(3.9*10^-^3)\)
\(=(0.051)-(3.9*10^-^3)\)
\(=0.051-(3.9*0.001)\)
Step 4: Perform any multiplication or division, from left to right:
\(0.051-(3.9*0.001)\)
\(=0.051-(0.004)\)
\(=0.0474\)
Therefore, \(0.0474\) is your answer.
Hope this helped! :^)
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Ai chỉ cách làm cho mk vs ạ
-) Find the equation of the line that passes through (1,0) and (3,6).
The equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.
To find the equation of a line passing through two points, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope of the line and b is the y-intercept.
Given points:
Point 1: (1, 0)
Point 2: (3, 6)
Step 1: Calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates:
m = (6 - 0) / (3 - 1)
m = 6 / 2
m = 3
Step 2: Substitute one of the given points and the slope into the equation y = mx + b to find the y-intercept (b).
Using Point 1 (1, 0):
0 = 3(1) + b
0 = 3 + b
b = -3
Step 3: Write the equation of the line using the slope (m) and the y-intercept (b):
y = 3x - 3
Therefore, the equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.
This equation represents a line with a slope of 3, indicating that for every increase of 1 unit in the x-coordinate, the y-coordinate increases by 3 units. The y-intercept of -3 means that the line crosses the y-axis at the point (0, -3). By substituting any x-value into the equation, we can determine the corresponding y-value on the line.
Hence, the equation of the line passing through (1, 0) and (3, 6) is y = 3x - 3.
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[80 POINTS]
A candlemaker uses 240 cubic centimeters of wax to create a scented candle using a cylindrical mold. He decides to offer a larger-sized candle, which uses twice as much wax as the smaller-sized candle.
Which mold can he use to make the larger-sized candle?
A. a cylinder with a height that is the same as the height of the original mold, and a radius that is double the radius of the original mold
B. a cylinder with a height that is double the height of the original mold, and a radius that is one-half the radius of the original mold
C. a cylinder with a height and a radius that are each double the length of those of the original mold
D. a cylinder with a height that is double the height of the original mold, and a radius that is the same as the radius of the original mold
Answer: a cylinder with a height that is double the height of the original mold, and a radius that is the same as the radius of the original mold
Step-by-step explanation:
Answer:
Answer: a cylinder with a height that is double the height of the original mold, and a radius that is the same as the radius of the original mold.
Step-by-step explanation:
The Topology Taxi Company charges 2.40 for the first fifth of a mile and 0.40 for each additional fifth of a mile. Find a linear function which models the taxi fare F as a function of the number of miles driven, m
The equation that models the taxi fare F as a function of the number of miles driven is F = 2.40 + 0.40m
What is an equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
In this case, the Topology Taxi Company charges 2.40 for the first fifth of a mile and 0.40 for each additional fifth of a mile.
The function will be:
F = 2.40 + (0.40 × m)
F = 2.40 + 0.40m
where m = number of miles
F = taxi fare.
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One factor of f (x ) = 4 x cubed minus 4 x squared minus 16 x + 16 is (x – 2). What are all the roots of the function? Use the Remainder Theorem.
A factor of f(x) is (x – 1).
A factor of f(x) is (x + 1).
Both (x – 1) and (x + 1) are factors of f(x).
Neither (x – 1) nor (x + 1) is a factor of f(x).
The answer is option A) A factor of f(x) is (x – 1).
What is the remaining theorem?
Remainder Theorem is a method for dividing polynomials according to Euclidean geometry. This theorem states that when a polynomial P(x) is divided by a factor (x - a), which isn't really an element of the polynomial, a smaller polynomial is produced along with a remainder.
f(x) = 4x3 - 4x2 - 16x + 16 [Given]
One aspect is (x - 2)
The remaining theorem is used to:
Where q(x) is the quotient polynomial and r(x) is the remainder polynomial, f(x) = (x-2)q(x) + r(x).
As (x-2) is a factor of f, r(x) equals 0. (x)
f(x) = (x-2)·q(x) (x)
q(x) = f(x)/ (x-2) (x-2)
[4x3 - 4x2 - 16x + 16]/ (x - 2) (x - 2)
= [4x2 (x - 1) - 16 (x - 1)]
/ (x - 2) (x - 2)
By even more simplifying
= [(x - 1) (4x2 - 16)]
/ (x - 2) (x - 2)
excluding 4 as common
= [(x - 1) 4 (x2 - 4)]
/ (x - 2) (x - 2)
With the use of the algebraic formula a2 - b2 = (a + b) (a - b)
= [(x - 1) 4 (x + 2) (x - 2)]
/ (x - 2) (x - 2)
= [4 (x - 1) (x - 2) (x + 2)]
/ (x - 2) (x - 2)
The roots are therefore 2, -2, and 1.
there the ans is A) A factor of f(x) is (x – 1).
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ray BD is inside ABC so that M
A ray BD bisects ∠ABC so that m∠ABD = 5y – 3 and m∠CBD = 2y +12. Then, the value of y is 5.
What is an angle bisector?An angle bisector is defined as a ray, segment, or line that divides a given angle into two angles of equal measure. The word bisector or bisection means dividing one thing into two equal parts. In geometry, we usually divide a triangle and an angle by a line or ray which is considered an angle bisector.
Since we have been given that ray BD bisects ∠ABC so that m∠ABD = 5y – 3 and m∠CBD = 2y +12.Then, m∠ABD = m∠CBD.
So, 5y – 3=2y +12
5y-2y=12+3
3y=15
y=5
Therefore, the value of y is 5.
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The complete question is
Ray BD is inside ∠ABC so that m∠ABD = 5y – 3 and m∠CBD = 2y +12. Find the value of y.
y=9/4×2
sketch the graph of f and f on the same set of axes
The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.
The graph represents a parabola that opens upward. As x increases, the corresponding y-values increase, forming a curved shape. The vertex of the parabola is at the origin (0,0). The graph is symmetric with respect to the y-axis, meaning that the left and right sides of the parabola are mirror images of each other.The slope of the graph gradually increases as x moves away from the origin. The steepness of the curve becomes more pronounced, indicating a faster rate of increase in y-values for larger x-values.The graph does not intersect the x-axis, indicating that there are no real roots or solutions for the equation f(x) = 0. The y-intercept of the graph is at (0, 0), and the y-values increase indefinitely as x approaches positive or negative infinity.Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.
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You visit the tallest building in a city and drop a penny off the edge of the observation deck. The distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third second, and then it will continue falling at the same rate. How many feet will the penny fall during the 8th second?
384 feet
272 feet
256 feet
240 feet
(4m+3)9+6m +10n
Simplifeid
Answer:
42m+10n+27
Step-by-step explanation:
Adding like terms
Answer: look at the picture
Step-by-step explanation: Hope this help :D
If you were give the two points (1,5)(8,2) what would the slope be? Pls help!
you rent an apartment that costs $1600 per month during the first year ,but the rent is set to go up 11.5% per year.what would be rent of the apartment during the 10th year of living in the apartment? round to the nearest tenth (if necessary ).
Answer:
$4,750.
Step-by-step explanation:
To determine the rental value of the apartment in the tenth year, knowing that it is worth 1,600 during the first year but that it will be adjusted annually to 11.5%, the following calculation must be made:
X = 1,600 x (1 + 0.115) ^ 10
X = 4,751.91
Thus, at ten years, rounded to the nearest tenth, the rental value will be $ 4,750.
The rent of the apartment during the 10th year of living in the apartment is 4,751.9.
Rent of the apartment:Let x represent the rent of the apartment
Hence:
x= 1,600(1 + 0.115)^10
x=1,600(1.115)^10
x=4,751.9
Inconclusion the rent of the apartment during the 10th year of living in the apartment is 4,751.9.
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If a giraffe is 8 feet tall, what is its height in millimeters?
Mario plays a game that involves drawing cards to move around the board. He uses a uniform probability model to determine the
probability that he will win on his next turn. There are 6 red cards, 6 yellow cards, 6 orange cards, 6 purple cards, 6 blue cards, 6
green cards, and 6 black cards. Mario needs either a purple or a green card to win on his next turn.
What is P (purple or green)?
o
ده
15
ob
ОО
이을
So I
0 1 / 3
Answer:
2/7
Step-by-step explanation:
There are 6 each of 7 different colored cards.
Therefore, total number of cards = 7 × 6 = 42
So the probability of each color card being chosen = 6/42 = 1/7
⇒ P(purple) = 1/7
⇒ P(green) = 1/7
So P(purple or green) = P(purple) + P(green)
= 1/7 + 1/7
= 2/7
The probability that the chosen card is either purple or green
Solution:Total number of cards ⇢42 cards
6 red cards+6 yellow cards+ 6 orange cards+ 6 purple cards+ 6 blue cards+ 6 green cards + 6 black cardsTotal number of required card ⇢ 12 cards
6 purple cards + 6 green cards ⇢12 cardsprobability of getting a purple or green card↷
\(⇢probability = \frac{favourable \: outcomes} {possible \: outcomes}\\ \)
\(⇢ \frac{12}{42} \\ \)
\(⇢ \frac{2}{7} \\ \)
Hence , option 3 ⇢ 2/7 is correct ✓
Provide the solutions of the quadratic equation below by using quadratic Formula: x^2+5x+1=0
The two solutions of the quadratic equation x^2 + 5x + 1 = 0 are:
x = (-5 + √21) / 2
and
x = (-5 - √21) / 2
To find the solutions of the quadratic equation x^2 + 5x + 1 = 0 using the quadratic formula, we can apply the formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this case, a = 1, b = 5, and c = 1. Substituting these values into the quadratic formula, we have:
x = (-(5) ± √((5)^2 - 4(1)(1))) / (2(1))
Simplifying:
x = (-5 ± √(25 - 4)) / 2
x = (-5 ± √21) / 2
Hence, the two solutions of the quadratic equation x^2 + 5x + 1 = 0 are:
x = (-5 + √21) / 2
and
x = (-5 - √21) / 2
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use the ressult of the simulation to explain why you think the smaple orvoideso r does not provide evidence that the standard deviation of the uice dispened exceeds .05 fluid onces
The result of the simulation does not provide evidence that the standard deviation of the juice dispensed exceeds .05 fluid ounces because the simulation does not indicate any instances where the standard deviation of the juice dispensed was greater than .05 fluid ounces. This indicates that the variability of the juice dispensed was within the acceptable sum range of .05 fluid ounces or less.
The simulation did not indicate any instances where the standard deviation of the juice dispensed was greater than .05 fluid ounces, indicating that the variability of the juice dispensed was within the acceptable sum of range
The result of the simulation does not provide evidence that the standard deviation of the juice dispensed exceeds .05 fluid ounces because the simulation does not indicate any instances where the standard deviation of the juice dispensed was greater than .05 fluid ounces. This indicates that the variability of the juice dispensed was within the acceptable range of .05 fluid ounces or less.
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3. x² +(y + 2)2 = 64
Center:
Radius:
Answer:
Center: (0, -2)
radius: 8
Explanation:
Given equation: x² + (y + 2)² = 64
The Circle Formula:
(x - h)² + (y - k)² = r²
where (h, k) are points of center. r denotes radius
So rewrite the equation in circle formula:
x² +(y + 2)² = 64
(x- 0)² +(y + 2)² = 8²
Identify followings:
h = 0, k = -2, radius = 8
It is A (45). Hope this helps!
If the simple interest on $7,000 for 6 years is $2,940, then what is the interest rate?
Answer:
The correct answer would be 7%
The interest rate would be about 7% if I am correct.
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