The level of the liquid is
Cm3​

Answer:

D.

Step-by-step explanation:

By calculation (I used a calculator for this one):

Therefore, the answer is D.

Based on the 95% confidence interval calculated from the random sample of 30 workouts, the conclusion is that we fail to reject the null hypothesis (H0).

The null hypothesis (H0) states that the mean heart rate during workouts is equal to 150 beats per minute. The alternative hypothesis (H1) would be that the mean heart rate differs from 150. In this case, the 95% confidence interval calculated from the sample data is between 158 and 167 beats per minute. Since this interval does not include the hypothesized mean of 150, it might initially suggest that the null hypothesis should be rejected in favor of the alternative hypothesis. However, in hypothesis testing, we consider the confidence interval as a range of plausible values for the population mean. Since the interval contains values above and below 150, it does not provide convincing evidence to reject the null hypothesis. Therefore, the correct conclusion is to fail to reject H0, indicating that there is not sufficient evidence to conclude that the individual's true mean heart rate while working out differs from 150 beats per minute.

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34% of the data in a normal distribution is more than 1 standard deviation above the mean.

In a normal distribution, about 68% of the data falls within one standard deviation above or below the mean. This means that roughly 34% of the data falls one standard deviation above the mean.

To be more precise, we can use the empirical rule or the 68-95-99.7 rule, which states that:

Approximately 68% of the data falls within one standard deviation of the mean.

Approximately 95% of the data falls within two standard deviations of the mean.

Approximately 99.7% of the data falls within three standard deviations of the mean.

Therefore, if we assume that the normal distribution is perfectly symmetrical, we can estimate that roughly 34% of the data falls more than one standard deviation above the mean.

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The last line of a proof typically represents the conclusion of the argument.

In a proof, the goal is to logically demonstrate the truth or validity of a statement or proposition. The proof consists of a series of logical steps or deductions that lead from the given information or assumptions to the desired conclusion.

Throughout the proof, various logical reasoning techniques, such as deductive reasoning, may be employed to establish the validity of each step. The given information or assumptions serve as the starting point of the proof, providing the initial conditions or premises upon which the argument is built.

However, the ultimate objective of a proof is to reach a definitive conclusion that follows logically from the given information or assumptions. The conclusion represents the final outcome or result of the proof, demonstrating the truth or validity of the proposition being proved.

Therefore, the last line of a proof represents the conclusion, as it encapsulates the final outcome or result that has been logically derived from the given information or assumptions.

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The height of the escalator is as calculated using trigonometric ratios.

We know that in a right angled triangle the trigonometric ratios are

tan θ = perpendicular ÷ base

For a right angled triangle the tanθ is defined as the ratio of the perpendicular to the base of the triangle . The side opposite the angle θ is the perpendicular and the side adjacent to the θ is the base .

Now it is given that for every 2 feet vertically moved the horizontal distance moved is 3 feet.

Now using the trigonometric ratio of tanθ

tan θ = 2 / 3

Now we will use this ratio to calculate the vertical height for horizontal movement of 90 feet .

Now, the height is given as h .

∴ tan θ = h / 90

or, 2 / 3 = h / 90

or, h = 60 feet

Therefore the height of the escalator is 60 feet.

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If the assignment is worth 100%, then it would completely replace the current grade you have.

If you have an assignment worth 100% of your grade, it means that the assignment will completely replace your current grade. In this case, your current grade of 68.9 is not relevant, as the new assignment will determine your final grade.

If you're asking how much you need to score on the assignment to maintain or improve your current grade of 68.9, you would need to score at least 68.9% on the assignment to maintain your current grade or score higher to improve your grade.

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Answer:

£39.20

Step-by-step explanation:

2+1+5=8

£78.40/8 = 9.8

9.8*5= 49

49-9.8= 39.2

Step-by-step explanation:

there is Q yiur welcome hope that helps :)

Answer:

m ∠Q = 90°

m ∠ R = 37°

m ∠ S = 53°

Step-by-step explanation:

Given the right ΔRQS, where:

m ∠ Q = 90°

m ∠ R = (5x - 13)°

m ∠ S = (3x + 23)°

Since the sum of all the angles of a triangle add up to 180°, we can set up the following equation to find the value of x and the measures of each angle:

m ∠ Q + m ∠ R + m ∠ S = 180°

90° + (5x - 13)° + (3x + 23)° = 180°

90° + 5x° - 13° + 3x° + 23° = 180°

Combine like terms:

100° + 8x = 180°

Subtract 100° from both sides:

100° - 100° + 8x = 180° - 100°

8x° = 80°

Divide both sides by 8:

\(\frac{8x}{8} = \frac{80}{8}\)

x = 10°

Substitute the value of x to find the measure of each angle:

m ∠ Q = 90°

m ∠ R = (5x - 13)° = 5(10) - 13 = 37°

m ∠ S = (3x + 23)° = 3(10) + 23 = 53°

Answer:

The value of a₁₀ is -1352

Step-by-step explanation:

a₂ = -8

a₅ = -512

Now,

a₂ = -8 can be written as

a + d = -8 ...(1) and

a₅ = -512 can be written as

a + 4d = -512 ...(2)

Now, from equation (2) we get,

a + 4d = - 512

a + d + 3d = - 512

(-8) + 3d = - 512 (.°. a + d = -8)

3d = - 512 + 8

3d = - 504

d = - 504 ÷ 3

d = - 168

Now, for the value of a put the value of d = -168 in equation (1)

a + d = -8

a + (-168) = -8

a - 168 = -8

a = 168 - 8

a = 160

Now, For a₁₀

a₁₀ = a + 9d

a₁₀ = 160 + 9(-168)

a₁₀ = 160 - 1512

a₁₀ = -1352

Thus, The value of a₁₀ is -1352

-TheUnknownScientist

The required perimeter of the given triangle EFG is 25.7 units.

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes.

Triangle ABC is the designation for a triangle with vertices A, B, and C.

In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

The easiest approach I've found to know for sure if an angle is 90 degrees is to use the 3:4:5 triangle.

So, the formula that will be used here would be:

d = √(y₂-y₁)²+(x₂-x₁)²

Get EF:

E(-8,1) = (x1, y1)

F(1,1) = (x2, y2)

Substitute the values:

EF = √[(1−(−8))² + (1−1)²]

EF = √[(9)² + (0)²]

EF = √81

EF = 9 units

Get FG:

F(1,1) = (x1, y1)

G(-3,8) = (x2, y2)

Insert the values as follows:

FG = √[(−3−1)² + (8−1)²]

FG = √[(−4)² + (7)²]

FG = √65

FG ≈ 8.1 units

Obtain EG:

E(-8,1) = (x1, y1)

G(-3,8) = (x2, y2)

Insert the values:

EG = √[(−3−(−8))² + (8−1)²]

EG = √[(5)² + (7)²]

EG = √74

EG ≈ 8.6 units

Perimeter of triangle EFG = 9 + 8.1 + 8.6

The perimeter of triangle EFG = 25.7 units

Therefore, the required perimeter of the given triangle EFG is 25.7 units.

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Correct question:

The points E(-8,1)(−8,1), F(1,1)(1,1), and G(-3,8)(−3,8) form a triangle. Plot the points then click the "Graph Triangle" button. Then find the perimeter of the triangle. Round your answer to the nearest tenth if necessary. NO NEED TO PLOT THE POINTS JUST FIND THE PERIMETER...

Answer:

The width is 8 meters.

Step-by-step explanation:

30-6=24

24/3=8

width=8 meters

The value of x is 14.7224.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

Sin 60° = x/17 ____(1)

Sin 60° = √3/2 _____(2)

From (1) and (2) we get,

√3/2 = x/17

x = 17√3/2

x = 17 x 1.73205 / 2

x = 14.7224

Thus,

The value of x is 14.7224.

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Answer:

20

Step-by-step explanation:

We need to find the Least Common Multiple between 4x² - 9 and 4x² + 12x +9.

First, we need to factorize each expression:

4x² - 9 can be factorized using the difference of squares given by:

Then:

Now, for 4x² + 12x +9

Can be factorized using:

Then:

Now, we need to find the LCM between (2x+3)(2x-3) and (2x+3)².

Then, the LCM is (2x+3)²(2x-3).

The correct answer is the third option.

Answer:

0

Step-by-step explanation:

2/10 is 2/10 away from 0, 2/10 is 3/10 away from 1/2, and 2/10 is 8/10 away from 1

Answer:

y=  (3x^2-3x+27)^1/3

Step-by-step explanation:

Answer:

its A: commutative and distributive properties

Step-by-step explanation:

i got it right

The proof used the distributive property and the associative property of multiplication.

Option B is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To be specific, the distributive property was used to break down the expression 4t + t as:

4t + t = (4 + 1)t ________(1)

And then the associative property was used to rearrange the terms as:

(4 + 1)t = 5t ________(2)

From (1) and (2)

We have shown that 4t + t is equivalent to 5t.

Thus,

The proof used the distributive property and the associative property of multiplication.

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The perimeter of a square is 80 minus 64 y units. Which expression can be used to show the side length of one side of the square?

Answer · 1 vote

Perimeter of the square80-64yA square has 4 sides, so divide the perimeter by 4:(80-64y) / 480 divided by 4 is 2064y divided by 4 is 16yOne side of the ..

Answer:

Its C

Step-by-step explanation:

took the test

Answer:

no and yes

Step-by-step explanation:

no to the ,The Night of the spadefoot toad but yes to hatchet to be honest I think everyone read hatchet when they were in 5th grade cuz I know I did and it was pretty good oh yeah who have read the lion,witch and the wardrobe in fifth grade??

The correlation analysis indicates a moderate positive relationship between Column X and Column Y.

To perform correlation analysis, we can use the Pearson correlation coefficient (r) to measure the linear relationship between two variables, in this case, Column X and Column Y. The value of r ranges from -1 to 1, where 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation.

Here are the steps to calculate the correlation coefficient:

Calculate the mean (average) of Column X and Column Y.

Mean(X) = (10+6+39+24+35+12+33+32+23+10+16+16+35+28+5+22+12+44+15+40+46+35+28+9+9+8+35+15+34+16+19+17+21) / 32 = 24.4375

Mean(Y) = (37+10+18+12+11+34+26+9+42+24+40+1+39+24+42+7+17+17+27+47+35+14+38+18+17+22+12+30+18+43+24+45+24) / 32 = 24.8125

Calculate the deviation of each value from the mean for both Column X and Column Y.

Deviation(X) = (10-24.4375, 6-24.4375, 39-24.4375, 24-24.4375, ...)

Deviation(Y) = (37-24.8125, 10-24.8125, 18-24.8125, 12-24.8125, ...)

Calculate the product of the deviations for each pair of values.

Product(X, Y) = (Deviation(X1) * Deviation(Y1), Deviation(X2) * Deviation(Y2), ...)

Calculate the sum of the product of deviations.

Sum(Product(X, Y)) = (Product(X1, Y1) + Product(X2, Y2) + ...)

Calculate the standard deviation of Column X and Column Y.

StandardDeviation(X) = √[(Σ(Deviation(X))^2) / (n-1)]

StandardDeviation(Y) = √[(Σ(Deviation(Y))^2) / (n-1)]

Calculate the correlation coefficient (r).

r = (Sum(Product(X, Y))) / [(StandardDeviation(X) * StandardDeviation(Y))]

By performing these calculations, we find that the correlation coefficient (r) is approximately 0.413. Since the value is positive and between 0 and 1, we can conclude that there is a moderate positive relationship between Column X and Column Y.

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Answer:

28x^2

Step-by-step explanation:

Answer:

a. ∠4 and ∠7 are consecutive interior angles

b. ∠2 and ∠11 are alternate exterior angles

c. ∠12 and ∠16 are corresponding angles

d. ∠8 and ∠13 are alternate interior angles

e. ∠11 and ∠15 are corresponding angles

f. ∠7 and ∠10 none

g. ∠1 and ∠14 are alternate exterior angles

h. ∠12 and ∠15 are consecutive interior angles

i. ∠6 and ∠7 none

j. ∠1 and ∠3 are corresponding angles

k. ∠12 and ∠16 are corresponding angles

l. ∠6 and ∠15 are alternate exterior angles

m. ∠5 and ∠10 are alternate interior angles

n. ∠8 and ∠14 are consecutive interior angles

Step-by-step explanation:

Corresponding angles are angles in similar corners of two lines that are crossed by a transversal

Alternate interior angles are angles formed on the inside but opposite sides of two lines crossed by a transversal

Alternate exterior angles are angles formed on the exterior or outer but opposite sides of two lines crossed by a transversal

Consecutive interior angles are angles on the interior part of the two lines crossed by a transversal and on the same side of the transversal

a. <4 and <7 = Consecutive interior

b. <2 and <11 = alternate exterior angles

c. <12 and <16 = corresponding angles

d. <8 and <13 = alternate interior angles

e. <11 and <15 = corresponding angles

f. <7 and <10 = none

g. <1 and <14 = alternate exterior angles

h. <12 and <15 = Consecutive interior

i. < 6 and <7 = none

j. <1 and <3 = corresponding angles

k. <12 and <16 = corresponding angles

l. <6 and <15 = alternate exterior angles

m. <5 and <10 = alternate interior angles

n. <8 and <14 = corresponding angles

First, we need to understand how angles found on parallel lines are paired and classified. An image showing the angle pairs have been attached below.

Therefore, the angles given can be classified similarly using the image as:

a. <4 and <7 = Consecutive interior

b. <2 and <11 = alternate exterior angles

c. <12 and <16 = corresponding angles

d. <8 and <13 = alternate interior angles

e. <11 and <15 = corresponding angles

f. <7 and <10 = none

g. <1 and <14 = alternate exterior angles

h. <12 and <15 = Consecutive interior

i. < 6 and <7 = none

j. <1 and <3 = corresponding angles

k. <12 and <16 = corresponding angles

l. <6 and <15 = alternate exterior angles

m. <5 and <10 = alternate interior angles

n. <8 and <14 = corresponding angles

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Answer:

5/2 or 2.5

Step-by-step explanation:

6/5=3/d

6*d=3*5

d=3*5/6

d= 5/2 or 2.5

Answer:

Solution,

\( \frac{6}{5} = \frac{3}{d} \\ or \: 6 \times d = 5 \times 3(cross \: multiplication) \\ or \: 6d = 15 \\ or \: d = \frac{15}{6} \\ d = 2.5\)

hope this helps...

Good luck..

ΔFHM and ΔDFP by addition to ΔMOF and ΔPDO respectively gives

ΔHOP and ΔDOF, which are congruent.

Response:

Based on the properties of a regular octagon, the diagonals DH and BF

of a regular octagon are perpendicular, and they bisect each other,

given that the length of half the diagonal represent the radius of the

circumscribing circle.

Therefore;

∠NFP ≅ ∠NFP by reflexive property

∠PNF ≅ ∠MOF all right angles are congruent

ΔMOF is similar to ΔPNF by Angle-Angle AA similarity postulate.

∠OMF ≅ ∠DMN by reflexive property

Therefore;

ΔDMN is similar to ΔMOF by AA similarity postulate.

Similarly, we have;

ΔDMN ~ ΔPDO by AA similarity postulate;

Therefore;

ΔPDO is similar to ΔOMF by transitive property

∠ODP ≅ ∠OFM by CASTC, Corresponding Angles of Similar Triangle are Congruent.

OD = OF distance from center to the vertex of a regular octagon are

equal to the radial length of the circumscribing circle and are therefore

equal.

Therefore;

ΔPDO ≅ ΔOMF by Angle-Side-Angle ASA congruency rule

ΔPDO = ΔOMF definition of congruency

ΔHOF = ΔDOF

ΔFHM = ΔHOF - ΔOMF subtraction property

Similarly

ΔDFP = ΔDOF - ΔPDO = ΔHOF - ΔOMF = ΔFHM by substitution property

ΔDFP = ΔFHM

ΔFHM = ΔDFP by symmetric property.

Therefore;

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At an angle of 270 degrees (or 3π/2 radians) on a circle with a radius of 2 and center at (0, 0), the x-coordinate is 0 and the y-coordinate is -2.

To find the x and y coordinates at an angle of 270 degrees (or 3π/2 in radian measure) on a circle of radius 2 with center (0, 0), we can use the trigonometric definitions of sine and cosine.

The x-coordinate (x-value) represents the horizontal position on the circle, while the y-coordinate (y-value) represents the vertical position.

For a point on the unit circle (circle with radius 1) at a given angle θ, the x-coordinate is given by cos(θ) and the y-coordinate is given by sin(θ).

In this case, the circle has a radius of 2, so we need to multiply the cosine and sine values by 2 to get the x and y coordinates, respectively.

Using the angle 270 degrees (or 3π/2 in radian measure):

x-coordinate = 2 * cos(3π/2)

y-coordinate = 2 * sin(3π/2)

Evaluating these expressions:

x-coordinate = 2 * cos(3π/2) = 2 * 0 = 0

y-coordinate = 2 * sin(3π/2) = 2 * (-1) = -2

Therefore, at an angle of 270 degrees (or 3π/2 radians) on the circle of radius 2 with center (0, 0), the x-coordinate is 0 and the y-coordinate is -2.

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Answer:

An example is the following:  \(\sqrt{45}\)

Step-by-step explanation:

Simplify the radical: \(\sqrt{45}\)

1.We must write the radicand as a product, and then we must use the product property for simplicity.

The roof of \(\sqrt{45\) is equal =\(\sqrt{9 x 5}\)

2.We must use the property of the product: \(\sqrt {a} x \sqrt{b}\)

\(\sqrt{9x 5}\)=\(\sqrt{9} x\sqrt{5}\)

\(3\sqrt{5}\)

The change in profit (ΔP) when the number of units (Δx) increases by 5, based on the given marginal profit function, is -18331.50

To find the change in profit (ΔP) when the number of units (Δx) increases by 5.

we need to evaluate the marginal profit function and multiply it by Δx.

The marginal profit function is given by dP/dx = 12.1(60 - 3x).

We are given the value of x as 121, so we can substitute it into the marginal profit function to find the marginal profit at that point.

dP/dx = 12.1(60 - 3(121))

= 12.1(60 - 363)

= 12.1(-303)

= -3666.3

Now, we can calculate the change in profit (ΔP) by multiplying the marginal profit by Δx, which is 5 in this case.

ΔP = dP/dx×Δx

= -3666.3 × 5

= -18331.5

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