HELP What's greater -1 17/20 or -1 8/10
Use < or >

Answer:

A(-5,9)

Step-by-step explanation:

M(-1,2)

B(3,-5)

Slope = (y2-y1)/(x2-x1)

(-5-2)/(3-(-1))

-7/4

m to B is down 7, right 4

m to A = up 7, left 4

The velocity of the boat when it reaches the buoy is approximately 17.32 m/s. This is found using the equation v² = u² + 2as, where u is the initial velocity, a is the acceleration, and s is the displacement.

To solve this problem, we can use the equations of motion. The initial velocity of the boat, u, is 30 m/s, the acceleration, a, is -3.0 m/s² (negative because the boat is slowing down), and the displacement, s, is 100 m. We need to find the final velocity, v, when the boat reaches the buoy.

We can use the equation: v² = u² + 2as

Substituting the given values, we have:

v² = (30 m/s)² + 2(-3.0 m/s²)(100 m)

v² = 900 m²/s² - 600 m²/s²

v² = 300 m²/s²

Taking the square root of both sides, we find:

v = √300 m/s

v ≈ 17.32 m/s

Therefore, the velocity of the boat when it reaches the buoy is approximately 17.32 m/s.

The problem provides the initial velocity, acceleration, and displacement of the boat. By applying the equation v² = u² + 2as, we can find the final velocity of the boat. This equation is derived from the kinematic equations of motion. The equation relates the initial velocity (u), final velocity (v), acceleration (a), and displacement (s) of an object moving with uniform acceleration.

In this case, the boat is decelerating with a constant acceleration of -3.0 m/s². By substituting the given values into the equation and solving for v, we find that the velocity of the boat when it reaches the buoy is approximately 17.32 m/s.

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The diagonal of a room measuring 5 ft and 12 ft along the walls should be 14.6 ft.

The diagonal of the room can be calculated using the Pythagorean theorem, which states that the square of the hypotenuse (the longest side of the triangle) is equal to the sum of the squares of the other two sides. In this case, the hypotenuse would be the diagonal, the other two sides would be 5 ft and 12 ft.

Thus, the equation would be: a² + b² = c², with a = 5 ft, b = 12 ft, c = 14.6 ft.

The calculation for this equation is as follows:

5² + 12² = c²; 25 + 144 = c²; 169 = c²; √169 = c; c = 14.6 ft.

This means that the diagonal of a room measuring 5 ft and 12 ft along the walls is 14.6 ft.

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Answer:

y=10

Step-by-step explanation:

As a result, for the same data set, a 99% confidence interval would have a greater margin of error than a 90% confidence interval.

Answer: If a 90% confidence interval is constructed based on a sample of data, and it is 74% + 3%, a 99% confidence interval based on this same sample of data would have a larger margin of error and probably a different center.

What is a confidence interval? A confidence interval is a statistical technique used to establish the range within which an unknown parameter, such as a population mean or proportion, is likely to be located. The interval between the upper and lower limits is called the confidence interval. It is referred to as a confidence level or a margin of error.

The confidence level is used to describe the likelihood or probability that the true value of the population parameter falls within the given interval. The interval's width is determined by the level of confidence chosen and the sample size's variability. The confidence interval can be calculated using the standard error of the mean (SEM) formula

.A 90% confidence interval indicates that there is a 90% chance that the interval includes the population parameter, while a 99% confidence interval indicates that there is a 99% chance that the interval includes the population parameter.

When the level of confidence rises, the margin of error widens. The center, which is the sample mean or proportion, will remain constant unless there is a change in the data set. Therefore, alternative A is the correct answer.

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(A) The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R'  is 1/2

(B) Coordinates of Δ P"Q"R"

P" (-4,0)

Q"(-3,1)

R"(1,-2)

(C) Triangles PQR and P"Q"R" are not congruent.

Given

ΔPQR is transformed into ΔP'Q'R'

Coordinates of P, Q, R are

P (8,0),

Q(6,2)

R(-2,-4)

Coordinates of P'Q'R' are

P′(4, 0)

Q′(3, 1)

R′(−1, −2)

(A) By Distance formula we can find the distance between P Q and P'Q'

Distance formula = \(D = \sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)

Where D = Distance between two points

from distance formula we can write that

PQ = \(\sqrt{(6-8)^{2} +(2-0)^{2} } = \sqrt{4+4} =2 \sqrt{2}\)

Similarly

P'Q'= √2

PQ /P'Q' = 2

hence the scale factor of dilation is 1/2 (Compression)

(B )The Coordinates of Reflection about y axis can be written for a point

(x,y) as (-x,y)

So the Coordinated of Δ P"Q"R" can be written as

P" (-4,0)

Q"(-3,1)

R"(1,-2)

(C) ΔPQR  and ΔP"Q"R" are similar triangles but they are not  congruent because their sides  are not equal in size.

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Answer:

me me me omg

Step-by-step explanation:

The dot plot with a mean of 5.57 minutes represents one data set, while the dot plot with a mean of 3.91 minutes represents another data set. The mean for the data set on the remaining dot plot needs to be calculated.

The dot plot represents data by using dots placed above the corresponding values on a number line. In this case, we have two dot plots representing different data sets. The dot plot with a higher mean of 5.57 minutes represents a data set with longer song lengths on an album, while the dot plot with a lower mean of 3.91 minutes represents a data set with shorter song lengths.

To calculate the mean for the data set on the remaining dot plot, we need to find the sum of all the values and divide it by the total number of values. By adding up the lengths of all the songs on that dot plot and dividing it by the number of songs, we can determine the mean for that data set.

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From the graph of the parent logarithmic function f and transformed function, to produce g

It is clear from the given graph that, the function g has a graph that is the stretch of f by a factor of 2.

For instance, for X=4, Y is 2 for f and 4 for g.

This proofs that, the g function is double to that of f function.

Therefore,

To produce g , function f was vertically stretched or expand by a factor of 2.

Function g is defined as 2f.

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stretched, 2, g(x)=2f(x)

The likelihood of their next third child having additional digits of (six fingers on each hand and six toes on each foot) is 1/2.

For the given condition,

Because the father has the dominant feature as well as the mother is now in normal condition, there is a 50% chance that this deformity will be passed down to children.

Thus, the likelihood of their next (third) child having additional digits is 1/2.

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Answer:

StartFraction x over 7.5 EndFraction = StartFraction 12 over 1 EndFraction

Step-by-step explanation:

Here, in this question, given that Rosa earns $12 in an hour, she earns x dollars in 7.5 hours. So we are interested in finding the value of x.

Let’s write this in terms of proportion;

$12 = 1 hour

$x = 7.5 hours

$12 * 7.5 hours = $x * 1 hour

So this can be rewritten as;

$x/7.5 = $12/1 hour

Answer: Start Fraction x over 7.5 End Fraction Start Fraction 12 over 1

explanation:

Answer:NML iscocilese triangle

Step-by-step explanation:

Answer:

right angle, obtuse angle and straight angle

Step-by-step explanation:

i hope this is what you mean sry if it didn't help

For a single alveolus requires the surface area of 0.133 square meters for gas exchange.

In this question, we have been given each human lung contains about 300 million alveoli with a summed total surface area for gas exchange of 40 square meters.

we need to find  the approximate surface area of a single alveolus.

By unitary method the required surface area would be,

A = 40/300

A = 10/75

A = 0.133 square meters

Therefore, the approximate surface area of a single alveolus = 0.133 square meters

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Answer:5.33333

Step-by-step explanation:

1 child = 8 crayon

16 children = 128

-> 128 divided by 24

=5.33333

Answer:

6

Step-by-step explanation:

Because . .

24 ÷ 8 = 3

16 ÷ 8 = 2

3× 2 = 6

The toothpicks lennon should use in each row is 185.

Algebra is the study of abstract symbols, and logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction also. This approach is used to answer the given problem correctly and completely.

We are given that;

Total number of toothpicks= 3330

Number of rows= 18

Now,

To find the number of toothpicks in each row

=3330/18

=1665/9

=185

Therefore, by algebra the answer will be 185.

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To find the coordinates of vector v in the subspace W spanned by u1, u2, and u3, we first need to check if the vectors u1, u2, and u3 are linearly independent. If they are linearly dependent, we can reduce them to obtain a basis for W. If they are linearly independent, we can directly use them as the basis for W.

To check for linear independence, we can form a matrix A by arranging u1, u2, and u3 as columns:

A = [u1 u2 u3] = [[4 2 1] [-2 1 -1] [1 1 0] [0 1 2]]

Next, we can reduce this matrix to row echelon form using Gaussian elimination:

[4 2 1]

[-2 1 -1]

[1 1 0]

[0 1 2]

Performing row operations:

R2 ← R2 + (1/2)R1

R3 ← R3 - (1/4)R1

R4 ← R4 - (1/8)R1

Resulting matrix:

[4 2 1]

[0 5/2 1/2]

[0 3/2 -1/4]

[0 1/2 7/8]

Performing further row operations:

R3 ← R3 - (3/5)R2

R4 ← R4 - (1/5)R2

Resulting matrix:

[4 2 1]

[0 5/2 1/2]

[0 0 -11/20]

[0 0 5/4]

Lastly, perform the final row operation:

R4 ← R4 + (11/25)R3

Resulting matrix:

[4 2 1]

[0 5/2 1/2]

[0 0 -11/20]

[0 0 0]

Since the reduced row echelon form has a row of zeros, the system of equations x1u1 + x2u2 + x3u3 = 0 only has the trivial solution. Therefore, u1, u2, and u3 are linearly independent and form a basis for the subspace W.To find the coordinates of v in subspace W, we solve the system of equations x1u1 + x2u2 + x3u3 = v using Gaussian elimination. Substituting the values of v and the basis vectors, we get the following matrix equation:

[4 2 1] [x1]   [21]

[-2 1 -1] [x2] = [98]

[1 1 0] [x3]   [28]

[0 1 2]       [37]

Simplifying the matrix equation using row operations, we get:

[4 2 1 21]

[0 5/2 1/2 70]

[0 0 -11/20 -22]

[0 0 0 69/11]

From the last row of the matrix, we can determine that x3 = 69/11. Substituting this value into the third row of the matrix, we find x2 = 10. Finally, substituting the values of x2 and x3 into the second row of the matrix, we find x1 = -39/4.

Therefore, the coordinates of v in the subspace W are:

vW = [-39/4, 10, 69/11]

The given solution is correct, and it provides a detailed explanation of the process to find the coordinates of vector v in the subspace W spanned by u1, u2, and u3.

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The research for the television-viewing habits given of american adolescents is example of the "population parameter".

For the given question.

An anonymous survey is used by the researcher to explore the television viewing behaviors of American adolescents.

The study's objective is to figure out the average number of hours that American adolescents dedicate watching television each day.

Thus, the researcher is attempting to identify a number that serves as an example of a population parameter.

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Answer:

Q 1 is option B and q 2 is option D

Step-by-step explanation:

Answer:

TSA of cube = 6l²= 54

6l²= 54

l²= 9

l=3= height of cube

Step-by-step explanation:

Answer:

The height of cube is 3cm.

Step-by-step explanation:

let length be l.

In cube,

length = height = breadth

Total Surface Area(T.S.A) = 54cm^2

We know that,

T.S.A of cube = 6l^2

or, 54cm^2 = 6l^2

or, (54cm^2)/6 = l^2

or, 9cm^2 = l^2

or, (3cm)^2 = l^2

or, l = 3cm

Answer:

D

Step-by-step explanation:

The exact value of the expression tan(π/6) sin(5π/3)⋅cos(-3π/4) is -√3/2.

We have tan(π/6). The angle π/6 is equivalent to 30 degrees. The tangent of 30 degrees is √3/3.

We have sin(5π/3). The angle 5π/3 is equivalent to 300 degrees. In the unit circle, the sine value at 300 degrees is -√3/2.

Finally, we have cos(-3π/4). The angle -3π/4 is equivalent to -135 degrees. In the unit circle, the cosine value at -135 degrees is -√2/2.

Multiplying these values together, we have (√3/3) * (-√3/2) * (-√2/2). Simplifying, we get (√3 * √3 * √2) / (3 * 2 * 2) = (√3 * √2) / 12.

Taking the negative sign into account, the final value is -√3/2, which is approximately -0.866.

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Answer:

12x^2; 21

Step-by-step explanation:

4x^2-3=4×1.5^2-3=6

4x^2-2=4×1.5^2-2=7

4x^2-1=4×1.5^2-1=8

6+7+8=p=21

Answer:

A ) 12x^2-6; 21 inches

Step-by-step explanation:

EDG2021

Answer:

y>=-2x-5 is the answer. Just to be sure, check the points of the equation with an ordered pair shaded that should reveal if this answer is valid.

Step-by-step explanation:

The original conditional statement is true: "If two angles are congruent, then they have the same degree measure." The converse is true: "If two angles have the same degree measure, then they are congruent." The inverse is true: "If two angles are not congruent, then they do not have the same degree measure." The contrapositive is true: "If two angles do not have the same degree measure, then they are not congruent."

The given conditional statement is: "If two angles are congruent, then they have the same degree measure."

The truth value of this conditional statement is true.

Reasoning:

The statement is a well-known mathematical fact. Congruent angles are defined as angles that have the same measure. Therefore, if two angles are congruent, it implies that they have the same degree measure. This statement holds true for all pairs of congruent angles.

Converse: "If two angles have the same degree measure, then they are congruent."

The converse of the given conditional statement is also true. If two angles have the same degree measure, it implies that they are congruent. This is a logical consequence of the definition of congruent angles.

Inverse: "If two angles are not congruent, then they do not have the same degree measure."

The inverse of the given conditional statement is also true. If two angles are not congruent, it implies that they do not have the same degree measure. This is the negation of the original statement.

Contrapositive: "If two angles do not have the same degree measure, then they are not congruent."

The contrapositive of the given conditional statement is true. If two angles do not have the same degree measure, it implies that they are not congruent. This is the negation of the converse statement.

In summary:

- The original conditional statement is true: "If two angles are congruent, then they have the same degree measure."

- The converse is true: "If two angles have the same degree measure, then they are congruent."

- The inverse is true: "If two angles are not congruent, then they do not have the same degree measure."

- The contrapositive is true: "If two angles do not have the same degree measure, then they are not congruent."

All related conditionals are true, and no counterexamples can be found for any of the statements.

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Answer:7.65

Step-by-step explanation:

4.5/10 is 0.45 which is the unit rate then you multiply it with 17 and get 7.65

Answer:

App. 83.33 kg

Step-by-step explanation:

10/60=0.167 kg/minute

0.167/3=0.056 kg/minute/person

0.056 x 25 x 60= 83.33...6

Answer:

y = - 2x + 1

Step-by-step explanation:

Substitute an x value from the table into the equation

x = 1 : y = - 2(1) = - 2 ← require to add 1 to obtain y = - 1

x = 4 : y = - 2(4) = - 8 ← require to add 1 yo obtain y = - 7

Then equation describing the relationship is

y = - 2x + 1

Yes the ratios are equivalent and the value is  3 : 1

This is a term used to refer to relations between two values which shows the number of times one of the value is contained in the other value.

Given data

18 balloons for every 6 centerpieces _____ratio 1

27 balloons for every 9 centerpieces _____ratio 2

18 for 6 is

18 : 6 this is simplified further to 3 : 1

27 for 9 is

27 : 9 this is simplified further to 3 : 1

since both simplifies to same values 3 : 1 they are said to be equivalent

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