Answer: 2] -7.836, - 7 \(\frac{2}{9}\), \(\sqrt[3]{-27}\), 2π, \(\sqrt{50}\)
4] 5.28, 5\(\frac{3}{9}\), \(\sqrt{29}\)
Step-by-step explanation:
2] - 7\(\frac{2}{9}\) ⇒7.2222222
\(\sqrt{50}\) ⇒ 7.07
- 7.836
2π ⇒ 6.283
\(\sqrt[3]{-27}\)⇒ -3
4] 5,28
5\(\frac{3}{9}\) ⇒ 5.33333333
\(\sqrt{29\) ⇒ 5.385
80 POINTS !!!!! PLEASE HELP.
There is a triangle with sides measuring 301, 30in and 25. Is this a nighttrange? Why or why not?
Answer:
No
Step-by-step explanation:
Assume you are asking if 30 in, 30 in, 25 in triangle if right.
Since two longer sides are equal this can't be a right triangle. Remember the hypotenuse is the longest side and the right triangle can be isosceles if shorter sides are of same size.
Check through Pythagorean theorem
H²=P²+B²301²=30²+25²No it's false
It's not right angled
Help me please I need to answer this
Answer:
it is $150 in three months
Answer:
$50 per month
Step-by-step explanation:
After 3 months there's $150, and after 6 months there's 300. When averaged out (150/3 and 300/6), both equal 50, meaning the constant rate of change is $50 a month.
I need help please ;-;
Answer: The length of AC to one decimal place in the trapezium is 18.1 cm
Step-by-step explanation: Using Pythagoras theorem, we can find the length AC
Pythagoras theorem
c² = a² + b²
Therefore, draw a line from the point B to the line AD and call it line BX.
BX ║ CD
Therefore,
16² - 7² = BX²
256 - 49 = BX²
BX² = 207
BX = √207
BX = 14.3874945699
BX = 14.4 cm
Therefore,
11² + 14.4² = AC²
121 + 207.36 = AC²
AC = √328.36
AC = 18.120706388
AC = 18.1 cm
Hoped This Helped!
Write the number in standard form.
6,000,000 + 200 + 8
The standard form of 5
6,000,000+200+8 is?
Answer:
6,000,208
Step-by-step explanation:
the t value is used for many tests instead of the z value because: a. it is easier to calculate and interpret. b. it is more widely known among statisticians. c. assumptions of the z value are violated if the sample size is 30 or less. d. it is available on statistical software packages.
The t-value is often used instead of the z-value in statistical tests because the assumptions of the z-value are violated when the sample size is 30 or less.
The t-value is preferred over the z-value in certain scenarios due to the violation of assumptions associated with the z-value when the sample size is small (30 or less). The z-value assumes that the population standard deviation is known, which is often not the case in practice. In situations where the population standard deviation is unknown, the t-value is used because it relies on the sample standard deviation instead. By using the t-value, we account for the uncertainty associated with estimating the population standard deviation from the sample.
Additionally, the t-value is easier to calculate and interpret compared to the z-value. The t-distribution has a wider range of degrees of freedom, allowing for more flexibility in analyzing data. Moreover, the t-value is more widely known among statisticians and is readily available in statistical software packages, making it a convenient choice for conducting hypothesis tests and confidence intervals.
Overall, the t-value is preferred over the z-value when the assumptions of the z-value are violated or when the population standard deviation is unknown.
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HELP! DUE TODAY! WILL GIVE BRAINLIEST!!
Question:
Select from the drop-down menus to correctly complete each statement
17.2 is 17.2 units to the ( drop-down 1 ) of zero on a number line. The opposite of 17.2 is 17.2 units to the ( drop-down 2 ) of zero on a number line.
Answer:
#1 would be Right and #2 would be left
Step-by-step explanation:
Pls Mark Brainliest
An isosceles right triangle has a hypotenuse length that can be modeled with the function . the combined length of the legs can be modeled with the function l(x) = 2x. which function, p(x), can be used to find the perimeter of the triangle?
The perimeter of the isosceles triangle will be P(x) = x√2 + 2x.
A polygon with three sides is known as a triangle. The angles of a triangle add up to form 180° and the sum of all sides of a triangle is known as the perimeter. In an isosceles triangle, the two sides are equal and their opposite angle too. In an isosceles triangle, the hypotenuse side of the triangle can be written as h(x) = x√2. The combined length comes out to be L(x) = 2x. Using this information the perimeter of the triangle comes out to be,
P(x) = h(x) + L(x).
P(x) = x√2 + 2x
Hence the perimeter of the triangle comes out to be P(x) = x√2 + 2x
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How much would you pay monthly on a $6,000 loan if you pay 12. 5 percent for 10 years?.
If we pay 12.5 percent for 10 years, our monthly payment for a $6000 loan will be about (C) $55.58.
What is the percentage?In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100. Although "pct," "pct," and occasionally "pc" are also used as abbreviations, the percent symbol "%" is most usually used to denote it.
A % is a number that has neither dimensions nor a defined unit of measurement.
To calculate the percentage, we must divide the value by the entire amount and then multiply the result by 100.
So, if the interest rate is 12.5%, our total loan payment would be:
112.5/100 × 6,000 = $6,750.
The monthly payment would be if there was no buildup and other agreement in payment:
6750/12*10
6750/120
$56.25
Therefore, if we pay 12.5% for 10 years, our monthly payment for a $6000 loan will be about (C) $55.58.
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Complete question:
How much would you pay monthly on a $6,000 loan if you pay 12.5 percent for 10 years?
a. $87.90
b. $70.32
c. $55.58
d. $125.00?
URGENT i need the answer for number 23 tyyyy
Answer:
The y-intercept should be -3 since it is 4x-3 so no your friend is not right
Step-by-step explanation:
Select one of the following functions to match the graph.
A. y = (7) x
B. y = (7)-x
C. y = (-7) x
D. y = (-7)-x
Answer:
B
Step-by-step explanation:
The explanation is attached below.
Time (hours) 2 4 6 8
Distance (miles) 8 16 24 32
Is the linear relationship also proportional? Explain.
Yes, the constant of proportionality is 4.
Yes, there is no constant of proportionality.
No, the constant of proportionality is 4.
No, there is no constant of proportionality.
The linear relationship between time and distance can be considered proportional. The constant of proportionality in this case is 4.
In a proportional relationship, the ratio between the two quantities remains constant. Here, as time increases by 2 hours, the distance also increases by 8 miles. Let's calculate the ratio of distance to time for each pair of values:
For the first pair (2 hours, 8 miles):
Ratio = distance / time = 8 miles / 2 hours = 4 miles/hour
For the second pair (4 hours, 16 miles):
Ratio = distance / time = 16 miles / 4 hours = 4 miles/hour
For the third pair (6 hours, 24 miles):
Ratio = distance / time = 24 miles / 6 hours = 4 miles/hour
For the fourth pair (8 hours, 32 miles):
Ratio = distance / time = 32 miles / 8 hours = 4 miles/hour
As we can see, the ratio of distance to time remains constant at 4 miles per hour for all the pairs. This indicates a proportional relationship between time and distance.
Therefore, the linear relationship is also proportional, and the constant of proportionality is 4.
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In the figure, m∠7 = 100°. Find the measure of the angle 3
Based on the Alternate Interior Angles Theorem, the measure of angle 3 in the image attached below is: 100°
What is the Alternate Interior Angles Theorem?If we have a situation where two parallel lines are intersected by a transversal, according to the Alternate Interior Angles Theorem, the pairs of alternate interior angles formed are congruent.
Angles 7 and 3 lie in the interior sides of the parallel lines but on opposite sides of the transversal, which makes them alternate interior angles. Therefore, based on the Alternate Interior Angles Theorem, we have:
m<3 = m<7
Substitute:
m<3 = 100°
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Select the ordered pair that is NOT marked on the coordinate plane below.
Answer: C. (2, 1)
Step-by-step explanation:
The numbers labeled are
(-5, -8)
(-2, 1)
(4, 0)
(2, 9)
Find coordinates by looking at each line. (x, y)
The x-axis is the horizontal line in the middle.
The y-axis is the vertical line going across.
The x-axis always goes first when plotting down coordinates, and y goes second.
So, the one NOT labeled is C (2, 1)
Real Numbers:Question 6
Which of the following numbers is closest to
V90
?
Select one:
12
o 10
30
o 45
Answer:
o45
Step-by-step explanation:
Because 45 is the largest number.
Find the directional derivative of f (x, y, z) = 2z2x + y3 at the point (1, 2, 2) in the direction of the vector 1/5akar i + 1/5akar j
(Use symbolic notation and fractions where needed.) directional derivative:
ఊhe directional derivative of f at the point (1, 2, 2) in the direction of the vector v = (1/5√2)i + (1/5√2)j is 2√2.
To find the directional derivative of the function f(x, y, z) = 2z^2x + y^3 at the point (1, 2, 2) in the direction of the vector v = (1/5√2)i + (1/5√2)j, we can use the formula for the directional derivative:
D_v(f) = ∇f · v
where ∇f is the gradient of f.
Taking the partial derivatives of f with respect to each variable, we have:
∂f/∂x = 2z^2
∂f/∂y = 3y^2
∂f/∂z = 4xz
Evaluating these partial derivatives at the point (1, 2, 2), we get:
∂f/∂x = 2(2)^2 = 8
∂f/∂y = 3(2)^2 = 12
∂f/∂z = 4(1)(2) = 8
Therefore, the gradient ∇f at (1, 2, 2) is given by ∇f = 8i + 12j + 8k.
Substituting the values into the directional derivative formula, we have:
D_v(f) = ∇f · v = (8i + 12j + 8k) · (1/5√2)i + (1/5√2)j
= 8(1/5√2) + 12(1/5√2) + 8(0)
= (8/5√2) + (12/5√2)
= (8 + 12)/(5√2)
= 20/(5√2)
= 4/√2
= 4√2/2
= 2√2
Hence, the directional derivative of f at the point (1, 2, 2) in the direction of the vector v = (1/5√2)i + (1/5√2)j is 2√2.
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If 6 is an element in the domain of f(x) = 9x-25/5, what is the corresponding element in the range?
Answer:
Step-by-step explanation:
f(x) = 9x - 25/5
f(x) = 9x - 5
f(6) = 9*6 - 5
f(6) = 54 - 5
f(6) = 49
=================
You might mean
f(x) = (9x - 25)/5
f(6) = (9*6 - 25) / 5
f(6) = (54 - 25) / 5
f(6) = 29/5
f(6) = 5.8
Moral: please use brackets to clarify the question.
find an equation for the ellipse that has its center at the origin and satisfies the given conditions. horizontal major axis of length 8, minor axis of length 7
Therefore, the equation for the ellipse is: 16x^2 + 12.25y^2 = 16.
To find the equation for an ellipse with its center at the origin, a horizontal major axis of length 8, and a minor axis of length 7, we can use the standard form of the equation for an ellipse:
(x^2 / a^2) + (y^2 / b^2) = 1
Where 'a' represents the semi-major axis and 'b' represents the semi-minor axis.
In this case, since the major axis is horizontal and has a length of 8, the value of 'a' is half of the major axis length, which is 8/2 = 4.
Similarly, the value of 'b' is half of the minor axis length, which is 7/2 = 3.5.
Plugging these values into the equation, we get:
(x^2 / 4^2) + (y^2 / 3.5^2) = 1
Simplifying, we have:
(x^2 / 16) + (y^2 / 12.25) = 1
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If the volume of the pyramid shown is 108in, what is the area of its base? 9 in= height
a. 4 in
b. 12 in
c. 24in
d. 36 in
Answer: D, 36in.
Step-by-step explanation:
can someone helppp pleaseeee
Pls help me
Hunter is playing a video game on his tablet. The screen on the tablet is 8 inches long and 6 inches tall. The monster he is fighting on-screen is 5 inches tall. If Hunter connects his tablet to a 40-inch TV screen with the same 4:3 aspect ratio, how tall will the monster be?
The height of the monster on the 40-inch TV screen will be 8 inches, which is larger than its height on Hunter's tablet.
First, we need to find out the scale of the monster on Hunter's tablet, which can be calculated as follows
Screen aspect ratio = 8/6 = 4/3
Height of monster on tablet = 5 inches
Width of monster on tablet = (4/3) x 5 = 6.67 inches (because the aspect ratio is 4:3, the width of the monster is 4/3 times its height)
Next, we need to find out the height of the monster on the 40-inch TV screen, which has the same 4:3 aspect ratio as the tablet screen. We can do this by using a proportion
Tablet screen height, Tablet screen width = TV screen height : TV screen width
Substituting the values we know, we get,
6 inches : 8 inches = TV screen height : 10.67 inches (because 40 inches is 4/3 times the width of the TV screen)
Solving for TV screen height, we get,
TV screen height = (6/8) x 10.67 = 8 inches
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write y - 2 = 1/2 (x-3) in simplest general form, Ax + By + C = 0, with integral coefficient
PLEASE HELP, THERES 10 MIN LEFT
Answer:
x - 2y + 1 = 0
Step-by-step explanation:
Given
y - 2 = \(\frac{1}{2}\) (x - 3) ← multiply through by 2 to clear the fraction
2y - 4 = x - 3 ( subtract 2y from both sides )
- 4 = x - 2y - 3 ( add 4 to both sides )
0 = x - 2y + 1, that is
x - 2y + 1 = 0 ← in general form
What is the angle between the vectors − 2i 3j k and i 2j − 4k?
The angle between the vectors can be found using the dot product. The formula is θ= |A| =√(x12 + y12 + z12) The angle between the vectors -2i + 3j + k and i + 2j - 4k is approximately 137.8 degrees.
v1 • v2 = (-2i + 3j + k) • (i + 2j - 4k)
= -2 - 6 + 1 = -7
|v1| = \(\sqrt{((-2)^2 + 3^2 + 1^2)}\)
=\(\sqrt{(4 + 9 + 1)}\)
=\(\sqrt{14}\)
|v2| = \(\sqrt{((1)^2 + 2^2 + (-4)^2)}\)
= \(\sqrt{(1 + 4 + 16) }\)
= (\(\sqrt{21}\)
θ= |A| (-7/\(\sqrt{14}\)\(\sqrt{21}\))
= |A| (-7/21*14)
= |A|(-7/294)
= 137.8 degrees
The angle between two vectors can be found using the dot product formula. This formula isθ= |A| =√(x12 + y12 + z12). In the case of the vectors -2i + 3j + k and i + 2j - 4k, this formula can be used to find the angle between them. The dot product of the two vectors is -2 - 6 + 1 = -7. The magnitude of the first vector, |v1|, can be found using the Pythagorean theorem, which is
\(\sqrt{((-2)^2 + 3^2 + 1^2)}\)
= \(\sqrt{(4 + 9 + 1)}\)
= \(\sqrt{14}\).
The magnitude of the second vector, |v2|, can be found using the Pythagorean theorem, which is
\(\sqrt{((1)^2 + 2^2 + (-4)^2)}\)
= \(\sqrt{(1 + 4 + 16)}\)
= \(\sqrt{21}\)
Once the dot product and magnitudes are known, the angle between the two vectors can be found using the formula .Therefore, the angle between the two vectors is approximately 137.8 degrees.
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Answer the following questions (each correct response is worth 0.5 point).
a) A regression analysis between sales (in $1000) and price (in dollars) resulted in the following equation:
ŷ = 60 - 8x
Interpret the value for the estimated slope coefficient for price.
b) Regression analysis was applied between sales (in $1000) and advertising (in $100) and the following regression function was obtained.
ŷ = 500 + 4x
Based on the above estimated regression line, if advertising is $10,000, then the point estimate for sales (in dollars) is
a) The estimated sales (in $1000) decrease by $8.
b) The point estimate for sales (in dollars) when the advertising expenditure is $10,000 is $40,500.
a) The estimated slope coefficient for price in the regression equation ŷ = 60 - 8x is -8. This means that for every one-unit increase in price, the estimated sales (in $1000) decrease by $8. In other words, the regression suggests that there is a negative relationship between price and sales, where higher prices are associated with lower sales.
b) In the regression equation ŷ = 500 + 4x, the coefficient of the advertising variable is 4. If the advertising expenditure is $10,000 (which can be written as 100 × 100), we can substitute this value into the regression equation:
ŷ = 500 + 4(100 × 100)
ŷ = 500 + 4(10,000)
ŷ = 500 + 40,000
ŷ = 40,500
Therefore, the point estimate for sales (in dollars) when the advertising expenditure is $10,000 is $40,500.
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Each package of stickers that Amal wants to buy costs $1.25. Amal has $10. Explain
how you can find the number of packages of stickers Amal can buy?
Answer:
1.25x8=10
Step-by-step explanation:so therefore he could get 8 packages of stickers
Identify next three numbers in this sequence: 3, 12, 6, 24, 18, … 27, 13.5, 22.5 72, 66, 264 72, 36, 144 27, 21, 30
Answer:
its 72, 36, 144
Step-by-step explanation:
yes it is!!!
Sergio poured 45/ of the soda from a 2-liter bottle for his guests. how much soda in liters is still left in the bottle?
The soda left in the bottle is 0.4 liters in a 2-liter bottle.
Let’s understand this with the concept of Ratio.
How does ratio work?
When two objects are related using numbers or amounts, the relationship is known as a ratio.
Initially, we are given that the bottle is 2 liters. From that, Sergio poured ⅘ of the soda.
So, the soda left is the initial quantity- the final quantity
= 2(initial quantity) - ⅘*2(final quantity)
=2 - 1.6= 0.4 liter
So finally, the soda left in the 2-liter bottle is 0.4 liter.
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Swapping the contents of two variables requires a third variable that can serve as a temporary storage location. True False.
Answer:
True.
Step-by-step explanation:
True.
Let's say A = 5, and B = 10.
We need to swap the contents of A and B, so A will end up with 10 and B will end up with 5.
A = 5
B = 10
Introduce variable C.
C = A (now C contains 5)
A = B (now A contains 10)
B = C (now B contains 5)
In the last two steps above, you see that the values of A and B were swapped.
if f (x) =3(x+3)^2 - 10 then calcutlate f (2)
pls answer todayyy i need help
Answer:
x
=
−
8
−
√
13
3
,
−
8
+
√
13
3
I dont know why the answer is spacing out like this
Complete the square to transform the expression x2 − 2x − 2 into the form a(x − h)2 k. (x − 1)2 3 (x − 1)2 − 3 (x − 2)2 − 3 (x − 2)2 3
The transformation of the expression \(x^{2} -2x-2\) is \((x-1)^2 -3\).
Given equation is: \(x^{2} -2x-2\)
What is the expansion of the square of (a+b)?The expansion of (a+b)² is a²+b²+2ab.
We can rewrite the given expression as:
\(x^{2} -2x+1 -3\)..........(1)
We know that \(x^{2} -2x+1\) is the expansion of \((x-1)^2\).
So, (1) can be written as:
\(x^{2} -2x+1 -3\)
\((x-1)^2 -3\)
So, \(x^{2} -2x-2 = (x-1)^2-3\)
Therefore, the transformation of the expression \(x^{2} -2x-2\) is \((x-1)^2 -3\).
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Answer:
The answer is B. (x-1)^2 - 3
Step-by-step explanation:
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How do you calculate the required sample size for a desired ME (margin of error)?
Answer: Calculate
Step-by-step explanation: How to calculate the margin of error?
1. Get the population standard deviation (σ) and sample size (n).
2. Take the square root of your sample size and divide it into your population standard deviation.
3. Multiply the result by the z-score consistent with your desired confidence interval according to the following table: