An astronaut inside a spacesuit weighs 300 pounds on Earth. How many pounds does she weigh on the Moon

Answer:

I got 45

Step-by-step explanation:

so I did the triangle first I did 5 times 6 divided by 2 and got 15 then I did 5 times 6 and got 30 then I added the 30 and 15 together.

Answer:

Formula of trapezoid:

B1(base 1) + B2(base 2) x Height(h) x 1/2

Area of Trapezoid:

10(base 1) + 6(base 2) = 16

16 x 5 = 80

80 x 1/2 = 40

Answer:

Option A is correct.

Step-by-step explanation:

Between B and C, the value of height (y) remains constant, as shown as a horizontal line on the graph.

This means that as x gets closer and closer to -8 from the left side, the values of f(x) become arbitrarily large and unbounded. In other words, there is no finite number that can be used to bound the values of f(x) as x approaches -8 from the left.

The expression limx→−8f(x)=[infinity] represents the limit of the function f(x) as x approaches -8 from the left side of the number line, and the limit is equal to infinity.

This means that as x gets closer and closer to -8 from the left side, the values of f(x) become arbitrarily large and unbounded. In other words, there is no finite number that can be used to bound the values of f(x) as x approaches -8 from the left. This is often interpreted to mean that the function has a vertical asymptote at x = -8, where the function approaches infinity as x approaches -8 from the left side.

It is important to note that the notation [infinity] is used here to indicate an unbounded value, and is not a literal representation of infinity as a number. The limit of f(x) as x approaches -8 from the right side may be a different value or may not exist at all.

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The research hypothesis states that there is a difference between the population proportions of the two groups in their decision to get their children vaccinated.

The research hypothesis refers to the statement about the presumed relationship between variables that are being studied.

In the case of the given information, the research hypothesis can be formulated as follows:

There is a significant difference between the population proportions of Democrat and Republican parents who plan to get their children under the age of 12 vaccinated.

Null hypothesis: There is no significant difference between the population proportions of Democrat and Republican parents who plan to get their children under the age of 12 vaccinated.

Research hypothesis: There is a significant difference between the population proportions of Democrat and Republican parents who plan to get their children under the age of 12 vaccinated.

The null hypothesis, on the other hand, claims that there is no significant difference between the two population proportions.

The hypothesis testing can be performed by calculating the test statistic and comparing it to the critical value of the corresponding distribution.

If the test statistic falls within the rejection region, the null hypothesis will be rejected, and the research hypothesis will be supported.

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Answer:

The answer is C. y = -4 - 1

Answer:

noisy I think because of how they're describing them

Some triangle pairs are congruent triangles but some others are not, because:

A pair of triangles is congruent if they have one of these criterias:

Let's explore each triangle pairs we have:

Pair 1

We know that both triangle have a vertical angle on its connection, hence both angles are congruent. They also have another pair of corresponding angles and 1 pair of corresponding sides between the angles .

Pair 1 meet ASA rules --> Congruent triangles

Pair 2

Pair 2 has 1 corresponding angle and 2 pairs of corresponding sides

Pair 2 meets SAS rules --> congruent triangles

Pair 3

We know that both triangle have a vertical angle on its connection, hence both angles are congruent. They also have another pair of corresponding angles and 1 pair of corresponding sides between the angles.

Pair 3 meet ASA rules --> Congruent triangles

Pair 4

Pair 4 has 3 corresponding sides and meets SSS rules --> congruent triangles

Pair 5

Pair 5 only has 2 corresponding sides --> not congruent triangles

Pair 6

We know that both triangle have a vertical angle on its connection, hence both angles are congruent. They also have another pair of corresponding angles and 1 pair of corresponding sides not between the angles.

Pair 6 meet AAS rules --> Congruent triangles

Pair 7

We know that both triangle have a vertical angle on its connection, hence both angles are congruent. Pair 7 also has another 2 corresponding angles. In total, pair 7 has 3 corresponding angles.

Pair 7 is not congruent triangles because three corresponding angles might have different size of sides. A pair of triangles can be congruent only if there is at least one pair of corresponding side between them.

Pair 8

We know that both triangle have a vertical angle on its connection, hence both angles are congruent. Pair 8 also has another 2 corresponding angles. In total, pair 8 has 3 corresponding angles.

Pair 8 is not congruent triangles because three corresponding angles might have different size of sides. A pair of triangles can be congruent only if there is at least one pair of corresponding side between them.

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The probability of renting exactly three apartments in a week is approximately 0.2018 or 20.18%.

If the average number of units rented per week is 2.3 and the distribution is Poisson, then the parameter lambda is also equal to 2.3.

The probability of renting exactly three apartments in a week is given by the Poisson probability function:

\(P(X = 3) = (e^(-lambda) * lambda^x) / x!\)

Substituting the values, we get:

\(P(X = 3) = (e^(-2.3) * 2.3^3) / 3!\)

P(X = 3) = (0.09963 * 12.167) / 6

P(X = 3) = 0.2018

Therefore, the probability of renting exactly three apartments in a week is approximately 0.2018 or 20.18%.

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The negative weight for the ant hill shows that two weeks ago there was no dirt on the ant hill .

Pounds of dirt add by ants on ant hill each day = 5 pounds

Pounds of dirt on ant hill = 68 pounds

To determine the number of pounds of dirt on the ant hill two weeks ago,

Calculate the amount of dirt added each day for two weeks and subtract that from the current weight of the ant hill.

There are 7 days in a week, so the ants add 5 pounds of dirt each day for 2 weeks,

which is a total of 5 pounds/day × 14 days = 70 pounds.

Subtracting the 70 pounds of dirt added in the past two weeks from the current weight of 68 pounds, we get,

=  68 pounds - 70 pounds

= -2 pounds.

Therefore, negative weight for the ant hill it is concluded that there was no dirt on the ant hill two weeks ago.

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If the current rate is 5% , then the difference in the amount per month will be $1289.54 .

We know that the formula to calculate the per month charge(EMI) is written as :

⇒ EMI = [p×r×(1+r)ⁿ]/[(1+r)ⁿ - 1] ;

Here , the value of "p" is 125000 ;

In first case , the rate is 18.75% = 0.1875/12 = 0.015625 ;

the time(n) = 30×12 = 360 days ,

Substituting the values in the EMI formula ,

We get ,

⇒ [125000×0.015625×(1+0.015625)³⁶⁰] / [(1+0.015625)³⁶⁰ - 1]

⇒ $1960.51 ,

In the second case , the rate is 5% = 0.05/12 = 0.004166 ;

the time (n) = 30×12 = 360 days ,

So, Monthly payment is

⇒ [125000×0.004166×(1+0.004166)³⁶⁰] / [(1+0.004166)³⁶⁰ - 1]

⇒ $670.97 ,

So , the difference between the EMI's of both the rate is :

⇒ 1960.51 - 670.97 = $1289.54 .

Therefore , The current per month mortgages will be $1289.54 less than the earlier per month mortgage .

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Answer: 13 times

Step-by-step explanation:

78 / 6 = 13 times

Answer: Assuming the field is rectangular, the distance between the two corners diagonally can be calculated using the Pythagorean theorem, which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

In this case, the length and width of the field form the two sides of the right triangle, and the diagonal is the hypotenuse.

So, using the Pythagorean theorem:

Diagonal^2 = Length^2 + Width^2

Diagonal^2 = 80^2 + 60^2

Diagonal^2 = 6400 + 3600

Diagonal^2 = 10000

Diagonal = √10000

Diagonal = 100 yards

Therefore, the soccer player will have to kick the ball 100 yards to reach the opposite corner of the field.

Step-by-step explanation:

The formula for determining the area of a rectangle is expressed as

Area = length * width

From the diagram,

Length = 3x + 6

Width = 4x - 1

The expression for the area of the room would be

In standard polynomial form, the terms are arranged in decreasing order of exponents. Therefore, the expression in standard form is

Answers

2x+3y=4

A=2 , B=3 , C=4

step by step:

2x+3y=2  the slope is -2/3

3y=-2x+2

y=-2/3 x+2

parallel line have the same slope: -2/3

the equation of parallel line that passes through point (2,0) y=mx+b

find b

2(2)+3(0)=b

4+0=b

b=4

the equation will be

2x+3y=4

to check : graph the equations:

Answer:

The margin of error for a 98% confidence interval around the sample mean is approximately 6.679 minutes.

Margin of error (E) = Zα/2 × σ/√n

Here,α = (1 - confidence level)/2

            = (1 - 0.98)/2

            = 0.01/2

            = 0.005

Zα/2 is the Z-score that corresponds to the given level of confidence (0.98).

Zα/2 can be calculated using a Z-table, which gives a value of

2.33.σ = population standard deviation = 15.7 minutes

n = sample size = 30

Putting the given values in the formula:

Margin of error (E) = 2.33 × 15.7/√30

                               ≈ 6.679

Therefore, the margin of error for a 98% confidence interval around the sample mean is approximately 6.679 minutes.

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To find a vector with the same direction as (-6, 7, 6) but with a length of 4, we need to scale the vector while preserving its direction.

First, we calculate the magnitude (length) of the vector (-6, 7, 6) using the formula:

\(|v| = sqrt((-6)^2 + 7^2 + 6^2)\\= sqrt(36 + 49 + 36)\\= sqrt(121)\\= 11\)

To obtain a vector with length 4, we divide the original vector by its magnitude and then multiply by the desired length:

\(a = (4/11) * (-6, 7, 6)\)

Calculating each component:

\(a = (4/11) * (-6, 7, 6)\\= (-24/11, 28/11, 24/11)\)

Therefore, a vector with the same direction as (-6, 7, 6) but with a length of 4 is (-24/11, 28/11, 24/11).

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If the multiplicity of the roots was 3, the curve would still be tangent to the x-axis at -3 and 3, but the curve would cross the x-axis.

The graph below is the graph of the equation f(x) = 0. The equation is graphed on the x-y plane. To determine the multiplicity of the roots, one needs to look at the graph closely.

The multiplicity of the roots of a polynomial function is a way of determining the behavior of the function as it approaches a particular point on the x-axis. In particular, it tells us how quickly the function approaches zero at that point.

The graph shows a curve that intersects the x-axis at -3 and 3. At these two points, the curve is tangent to the x-axis. Since the curve is tangent to the x-axis at these points, this means that the roots are repeated.

The multiplicity of the roots of f(x) = 0 is 2. This means that the curve touches the x-axis at -3 and 3, but doesn't cross it. This is because the roots are repeated.

If the multiplicity of the roots was 3, the curve would still be tangent to the x-axis at -3 and 3, but the curve would cross the x-axis.

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Answer:

Step-by-step explanation:

You will put your first dot on the x at 5. Then from 5 you will go up 3 and over 4 and put another point. Then from there you will go up 3 over 4 and put another point so on so forth.

Answer:

a=0

Step-by-step explanation:

plz mark as brainlist

Answer:

Angle2 is supplementary to Angle8.

If Angle 2 Is-congruent-to Angle 6, then the statement which must be true about Angle 2 is that Angle 2 is supplementary to Angle 8.

This refers to the type of angle where two different angles are said to have equal measure on their corresponding sides.

With this in mind, we can see that based on the two horizontal parallel lines are intersected by a third line, there is a third line that intersects the top line and forms four angles.

Hence, if If Angle 2 Is-congruent-to Angle 6, then the statement which must be true about Angle 2 is that Angle 2 is supplementary to Angle 8 because the sum of either angles is 180 degrees.

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we have that

Applying the Pythagorean Theorem

c^2=a^2+b^2

substitute given values

c^2=7^2+24^2

c^2=49+576

c^2=625

Answer:

Wait my question is where is tank B?

Step-by-step explanation:

Answer: An equation of a line that is parallel to another line has the same slope as the original line. The slope of a line can be found by rearranging the equation of the line in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept (the point at which the line crosses the y-axis).

To find the equation of a line that is parallel to the line x - 5y = 15 and passes through the point (-5,7), we can first rearrange the equation of the original line in slope-intercept form:

x - 5y = 15

y = (1/5)x - 3

The slope of this line is (1/5). To find an equation of a line that is parallel to this line and passes through the point (-5,7), we can use the point-slope form of a line:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line and m is the slope of the line.

Substituting in the values given in the question, we get:

y - 7 = (1/5)(x - (-5))

y - 7 = (1/5)x + 1

y = (1/5)x + 1 + 7

y = (1/5)x + 8

Therefore, the equation of the line that is parallel to the line x - 5y = 15 and passes through the point (-5,7) is y = (1/5)x + 8.

Step-by-step explanation:

Answer:

129024

Step-by-step explanation:

hope this help:)

Answer:

1440

Step-by-step explanation:

You add 8 + 112 then divide that by inches

Answer: 1287

Step-by-step explanation:

The number of driving lessons you need to take with a professional instructor before your parents can teach you varies depending on the regulations in your area. In some regions, a specific number of driving lessons is required by law before you can apply for your driver's license. As a result, you should check with your local Department of Motor Vehicles (DMV) or other regulatory agency to learn more about the specific requirements in your area.

In general, however, it is usually beneficial to take as many driving lessons as possible with a professional instructor. Professional driving instructors have been educated in how to teach driving skills safely and effectively. They have also assisted many other people in learning how to drive, and as a result, they have a wealth of knowledge and expertise to draw on.

The more driving lessons you take with a professional instructor, the more chances you'll have to learn and improve your driving abilities. You may be able to practice with your parents after only a few lessons, but it's generally a good idea to take as many as possible with an instructor before doing so. This will give you the best chance of success while you learn to drive safely and confidently.

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Answer:

The answer is below

Step-by-step explanation:

1) Let x represent the price of Tacos and y represent the price of Burrito. You where charged $4.80, hence:

2x + 2y = 4.80; Dividing through by 2:

x + y = 2.4         (1)

Your friend was charged $4.00, hence:

3x + y = 4.00     (2)        

Solving equation 1 and 2 simultaneously by subtracting equation 2 from equation 1:

2x = 1.6

x = 0.80

Put x = 0.8 in equation 1:

0.8 + y = 2.4

y = 1.60

The cost of each tacos is $0.80 and the cost for each burritos is $1.60

2) Let x represent the smaller number and y the bigger number, hence:

y - x = 16        (1)

Also:

y = 4x - 5;

y - 4x = -5       (2)

Subtract equation 2 from equation 1 to solve simultaneously:

3x = 21

x = 7

Put x = 7 in equation 1:

y - x = 16

y - 7 = 16

y = 23

The greater number is 23 and the smaller number 7

Answer:

761090000

Step-by-step explanation:

10⁸ = 100000000

7.6109 * 100000000 = 761090000

Answer:

761090000

Step-by-step explanation:

=7.6109×10^8

=761090000

ANS

Therefore, the admission for each child is $12.50 and for each adult is $0.36.

A matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns. Matrices are commonly used to represent linear transformations, systems of linear equations, and vectors in linear algebra.

A matrix can be represented by enclosing its entries in brackets, like this:

\([ 1 2 3]\)

\([ 4 5 6]\)

\([ 7 8 9]\)

In this example, the matrix has 3 rows and 3 columns, and its entries are the numbers from 1 to 9. Matrices can be added, subtracted, multiplied, and transformed using various operations, making them a powerful tool in mathematics and computer science.

Let's use matrices to solve this problem.

Let x be the cost of admission for children and y be the cost of admission for adults. Then we can set up two equations based on the information given:

\(12x + 33y = 162\)

\(8x + 33y = 122\)

We can represent this system of equations as an augmented matrix:

| 12 33 | 162 |

| 8 33 | 122 |

To solve for x and y, we need to perform row operations to reduce the matrix to row echelon form. Let's start by subtracting 3 times the second row from the first row:

| 0 12 | 24 |

| 8 33 | 122 |

Next, we can divide the first row by 12 to get a leading 1:

\(| 0 1 | 2 |\)

\(| 8 33 | 122 |\)

Now we can subtract 8 times the second row from the first row:

| 0 1 | 2 |

| 8 33 | 122 |

| -8 -33 | -16 |

We can divide the second and third rows by 33 and -33, respectively, to get leading 1s:

| 0 1 | 2 |

| 0 1 | 4/11 |

| 1 1 | 16/33 |

Finally, we can subtract the second row from the first row:

| 0 0 | 10/11 |

| 0 1 | 4/11 |

| 1 1 | 16/33 |

This is the row echelon form of the augmented matrix. We can now solve for y by substituting the value of y into the second equation:

\(0x + y = 4/11\)

\(y = 4/11\)

So, the cost of admission for adults is $4/11, or approximately $0.36.

To solve for x, we can substitute the values of x and y into either of the original equations. Let's use the first equation:

\(12x + 33y = 162\)

\(12x + 33(4/11) = 162\)

\(12x = 162 - 12\)

\(x = 150/12\)

\(x = 25/2\)

So, the cost of admission for children is $25/2, or $12.50.

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Mr. Kuldeep bought more rice than Mr. Rajesh by 1¾ kg, or 1.75 kg more than Mr. Rajesh.

Mr. Kuldeep bought 7½ kg of rice and Mr. Rajesh bought 5¾ kg of rice. To find out who bought more rice and by how much, we need to compare the two quantities.

First, let's convert the mixed numbers into improper fractions:

7½ kg = (7 x 2 + 1)/2 = 15/2 kg

5¾ kg = (5 x 4 + 3)/4 = 23/4 kg

Now, let's compare the two fractions:

15/2 kg > 23/4 kg

Therefore, Mr. Kuldeep bought more rice than Mr. Rajesh.

To find out by how much, we need to subtract the smaller quantity from the larger one:

15/2 kg - 23/4 kg = (30 - 23)/4 kg = 7/4 kg

So, Mr. Kuldeep bought 7/4 kg or 1¾ kg more rice than Mr. Rajesh. In conclusion, Mr. Kuldeep bought more rice than Mr. Rajesh by 1¾ kg.

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