Help!!!
The actual diameter of Uranus is 31,250 miles. In a scale drawing of the solar system, the diameter of Uranus is
125 centimeters.
What scale was used to make the model?
1 centimeter = 500 miles
1 centimeter = 250 miles
1 centimeter = 125 miles
1 centimeter = 175 miles

Answer:

y = 4√3

Step-by-step explanation:

According to Euclidean theorem:

y² = 12 × 4

y² = 48

y = 4√3

Answer: Let x be the number of race entries. In order to raise at least $55,000, we must have 45x + 17,900 ≥ 55,000 −45x ≥ −37,100 x ≤ -37,100/45 x ≤ 824.44 Therefore, the charity needs 824 or more race entries to raise at least $55,000.

Answer:

n = 7

Step-by-step explanation:

3 = 10 - n

-10  -10

----------------

-7 = -1n

/-1     /-1

-----------------

7 = n

Answer:

\(3 = 10 - n \\ n = 10 - 3 \\ n = 7 \\ thank \: you\)

The Laplace transform of the given function \((t)-{: 01277 1, 0\)is given by:

\(L{(t)-{: 01277 1, 0} = L{(t - 1)e^(-2t) u(t - 1)} + L{e^(-2t) u(t)}\) where u(t) is the unit step function.

Step-by-step solution is given below: Given function is (t)-{: 01277 1, 0Laplace transform of the given function is \(L{(t)-{: 01277 1, 0}=L{(t-1)e^-2t u(t-1)}+L{e^-2t u(t)}\) Where u(t) is the unit step function.

We have to find the Laplace transform of the given function.\((t)-{: 01277 1, 0 = (t-1)e^-2t u(t-1) + e^-2t u(t)\)Laplace Transform of \((t-1)e^-2t u(t-1) = L{(t-1)e^-2t u(t-1)}= e^{-as} * L{f(t-a)} = e^{-as} * F(s)So, (t-1)e^-2t u(t-1) = 1(t-1)e^-2t u(t-1)\)

Taking Laplace transform on both sides,\(L{(t-1)e^-2t u(t-1)} = L{1(t-1)e^-2t u(t-1)}= e^{-as} * L{f(t-a)}= e^{-as} * F(s)= e^{-as} * L{e^{at}f(t)}= F(s-a) = F(s+2)\)(On substituting a = 2)

Now, Let's solve \(L{e^-2t u(t)}\)

Taking Laplace transform on both sides,\(L{e^-2t u(t)}= e^{-as} * L{f(t-a)}= e^{-as} * F(s)= e^{-as} * L{e^{at}f(t)}= F(s-a) = F(s+2)\) (On substituting a = 2) Laplace transform of the given function L{(t)-{: 01277 1, 0}= L{(t-1)e^-2t u(t-1)} + L{e^-2t u(t)}= F(s+2) + F(s+2)= 2F(s+2)= 2L{e^-2t} = 2 / (s+2)

Hence, the Laplace transform of the given function is 2 / (s+2) which is a transfer function of a system with a first-order differential equation.

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Answer:

She would have to work 5 hours to make $105.

Step-by-step explanation:

First Step: Find Unit Rate

189/9 = 21

9/9 = 1

Every 1 hour she gets paid $21.

Step 2: Find how much she needs to work to get paid $105

105/21 = 5

The ratio of boy to girl who play kickball at race is 6 to 2. There are 18 girl on the team. the number of boys who play kickball at race is 12 boys.

The ratio of boy to girl who play kickball at race is 6 to 2

6 boys: 2 girls

Multiply the number of girls by the ratio:

18 girls x (6 boys / 2 girls) = 18 x 3 = 54

Subtract the number of girls from the total to get the number of boys:

54 - 18 = 36

Therefore, there are 12 boys who play kickball at race.

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Answer:

69.4 inches

Step-by-step explanation:

A kite is a quadrilateral (has four sides and four angles) with two pairs of congruent adjacent sides. The diagonals of a kite are perpendicular to each other.

To prove that quadrilateral ADBC is a kite, the diagonals of the kite have to be perpendicular to each other.

AD ⊥ BC.

Since adjacent sides are equal to each other, hence:

BC = BD, AC = AD

The coordinate of the vertices are A(11, 0), B(11, 26), C(0, 18) and D(22, 18)

\(BC=\sqrt{(0-11)^2+(18-26)^2} =13.6\ unit\\\\AC=\sqrt{(0-11)^2+(18-0)^2} =21.1\ unit\)

BC = BD, AC = AD

Perimeter of kite = BC + BD + AC + AD = 2BC + 2AC = 2(13.6) + 2(21.1) = 69.4 units = 69.4 inches

Answer: 69

Step-by-step explanation:

The z-score associated with a raw score of 68 is 1.8.

Given mean = 50 and standard deviation = 10.

Z-score is also known as standard score gives us an idea of how far a data point is from the mean. It indicates how many standard deviations an element is from the mean. Hence, Z-Score is measured in terms of standard deviation from the mean.

The formula for calculating the z-score is given as

z = (X - μ) / σ

where X is the raw score, μ is the mean and σ is the standard deviation.

In this case, the raw score is X = 68.

Substituting the given values in the formula, we get

z = (68 - 50) / 10

z = 18 / 10

z = 1.8

Therefore, the z-score associated with a raw score of 68 is 1.8.

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Answer:

(-1.5).(2.-7)

Step-by-step explanation:

ECHA. Step-by-step explanation: 1.) E. m = 1/2. 2.) C. y2 - y1/x2 - x1 = m. -4 - (-8)/3 - 1 = m. 8 - 4/3 - 1 = m.

Answer: - 1

Step-by-step explanation:

(end after moveing back 4)      (start at 3)

                                 |<<<<<<<<<<<< |

--(-5)--(-4)--(-3)--(-2)--(-1)--(0)--(1)--(2)--(3)--(4)--(5)--

The domain and range the the vertical and horizontal asymptote has all real numbers

The domain of a function is the set of values that we are allowed to plug into our function.

This set is the x values in a function such as f(x).

The range of a function is the set of values that the function assumes.

The domain of a rational function consists of all the real numbers x

Except those for which the denominator is 0.

the range of the function is the set of real numbers except 0

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Answer:

Octagon

Step-by-step explanation:

The distance of the distance between the top of such mirror and the ceiling after it has been hung just on wall is 5 inches.

The distance between the ceiling and the top of a picture frame equals 5 inches, which may be calculated using arithmetic procedures.

Remember that 1 foot equals 12 inches.

As a result, the value of 8 feet is (8 x 12) = 96 inches, while the value for 5 1/4 feet is 63 inches.

- As a result, the distance between the frame's center line and the bottom of such frame is:

28/2 = 14 inches.

The distance between the center of such mirror and the floor is now:

14 + 63 = 77 inches

The distance between the ceiling and the top of picture frame is:

= 96 - 77 - 14

= 5 inches

Thus, the distance of the distance between the top of such mirror and the ceiling after it has been hung just on wall is 5 inches.

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The correct question is-

A mirror is 24 inches high and 28 inches wide. The center of the mirror will hang 5 1/4 feet from the floor on the wall tha is 8 feet high.

What will be the distance from the top of the mirror to the ceiling once the mirror is hung on the wall?

Th length of the enclosed area of the scale model in inches is 32 inches.

Joseph and Raquel are building a scale model of the Alamo Mission for their Texas history project using a scale in which 2 inches represents 30 feet.

The enclosed area of the Alamo Mission was 480 feet long and 160 feet wide.

The length of the enclosed area of the scale model in inches can be calculated as follows:

30 feet = 2 inches

480 feet = ?

cross multiply

length of the enclosed area = 480 × 2 / 30

length of  the enclosed area = 960 / 30

length of the enclosed area = 32 inches

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The coordinates of X that partitions XY in the ratio 5 to 4 include the following: X (-1.6, -7).

In this scenario, line ratio would be used to determine the coordinates of the point X on the directed line segment AB that partitions the segment into a ratio of 5 to 4.

In Mathematics and Geometry, line ratio can be used to determine the coordinates of X and this is modeled by this mathematical equation:

M(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

By substituting the given parameters into the formula for line ratio, we have;

M(x, y) = [(5(2) + 4(-6))/(5 + 4)],  [(5(-11) + 4(-2))/(5 + 4)]

M(x, y) = [(10 - 24)/(9)],  [(-55 - 8)/9]

M(x, y) = [-14/9],  [(-63)/9]

M(x, y) = (-1.6, -7)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Fewer births and increased survival rates are changing the shape of the population from a pyramid to a(n): Rectangle

It is given that fewer births and increased survival rates are changing the shape of the population from a pyramid.

Survival rates is the percentage of people in a study or treatment group who are still alive for a certain period of time after they were diagnosed with or started treatment for a disease, such as cancer.

A population pyramid is a way to visualize two variables: age and sex. They are used by demographers, who study populations. A population pyramid is a graph that shows the distribution of ages across a population divided down the center between male and female members of the population.

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Answer:

0.8

Step-by-step explanation:

The fraction 8/10 is 0.8 as a decimal because you divide 8 by 10.

The decimal equivalent of 8/10 is equal to 0.8

A decimal number is a number that consists of a whole number and a fractional part separated by a point. For example – 3.5, 6.79, 78.32, etc.

Given here:  The proper fraction is given as 8/10

All fractions can be converted into decimals by dividing the numerator by the denominator. For example, the fraction 45 represents 4 out of 5, or 4 divided by 5. This fraction can be converted into a decimal by dividing 4 by 5.

Thus we have 8/10=4/5

                              =0.8

Hence, the decimal equivalent of 8/10 is equal to 0.8

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The number 3.23×10^6, expressed in standard decimal notation, is 3,230,000. In scientific notation, a number is expressed as the product of a coefficient and a power of 10.

In this case, the coefficient is 3.23, and the power of 10 is 6. To convert this number into standard decimal notation, we need to multiply the coefficient by the corresponding power of 10. The power of 10, in this case, is 10^6, which means 10 raised to the power of 6. This is equivalent to 1 followed by six zeros: 1,000,000. To obtain the standard decimal notation, we multiply the coefficient, 3.23, by 1,000,000.

Calculating the multiplication, we have:

3.23 × 1,000,000 = 3,230,000.

Hence, the number 3.23×10^6, expressed in standard decimal notation, is 3,230,000. This means that the number is equal to 3.23 million.

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One possible transformation is a reflection in the x-axis followed by a dilation centered at the origin with a scale factor of 3.

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

Before the dilation, the figure was reflected from the first quadrant to the second quadrant, which is a lateral reflection, hence the figure was reflected over the x-axis.

The height of the blue triangle is of 1 unit, while the height of the larger triangle is of 3 units, hence the scale factor is given as follows:

k = 3/1

k = 3.

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A tip of 18% was given to the restaurant after the meal and tax to the nearest percentage.

Cost of the food = $25.30

Tax on the food cost = 8%

Tax amount

= 8% of 25.30

= 0.08  × 25.30

= 2.204

Total cost of food before tip = 25.30 + 2.204 = $27.504

Tip given = 32.24 - 27.504 = 5.036

Tip percentage

= 5.036 / 27.504 × 100%

= 18.31%

≈ 18%

Hence a tip of 18% was given to the restaurant after the meal and tax to the nearest percentage.

Percentage increases and decreases are calculated by computing the difference between two numbers or by comparing that difference to the starting value.

One can calculate how significantly the initial value has changed mathematically by dividing the result by the starting value and using the absolute value of the difference between the two values.

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Answer:

no

Step-by-step explanation:

11+11<25

The sum of 11 and 11 is less than 25 and therefore, this triangle is not possible.

Answer:

4

Step-by-step explanation:

First, rewrite the equation with -5 substituted for A:    (-5)^2 +5(-5) +4
Next, simplify that equation:      25 -25 +4
Simplify this further: 4

When A=-5, the solution is 4.

A confidence interval can be used to define a range of plausible values for an unknown parameter, like the variance ratio.

variances of two portfolios with sample variances of s1^2 and s2^2. Let's calculate the confidence interval for the ratio of population variances 05 using the given information.

\((s1^2 / s2^2) * (Fα/2),v2, v1 ≤ (s1^2 / s2^2) * (F1-α/2),v1,v2\)

freedom. We must first determine the degrees of freedom and find the critical values for the F-distribution.In this case, v1 = n1 - 1 = 15 - 1 = 14 and v2 = n2 - 1 = 15 - 1 = 14.Using a significance level of 0.05 and degrees of freedom (14,14), the critical values from the F-distribution table are 0.414 and 2.377. Thus, the 95% confidence interval for the variance ratio is calculated as follows:

\((s1^2 / s2^2) * (Fα/2),v2, v1 ≤ (s1^2 / s2^2) * (F1-α/2),v1,v2= (0.0049 / 0.0064) * (2.377) ≤ (0.0049 / 0.0064) * (0.414)= 1.8375 ≤ 1.2156\)

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x = 2

Answer:

x = 2

Step-by-step explanation:

Each triangle is made up of 2 radii (each of 5 units in length) and an included 30° angle.  

Therefore, the triangles are congruent.

So, DC = AB ⇒ x = 2

We have to say if 9,953 is divisible by 2, 3, 4, 5, 9 or 10 and justify each one:

• Is no divisible by 2 becuase the number is odd.

• Is not divisible by 3 becuase the sum of the digits is 26 that is not divisible by 3.

• Is not divisible by 4 becuase the last two digits form a number that is not divisible by 4.

• Is not divisible by 5 because the last digit is not 0 or 5.

• Is not divisible 9 becuase the sum of the digits is 26 that is not divisible by 9.

• Is not divisible by 10 because the last digit is not 0,

The lateral surface area of the cone is 20π square units.

To find the lateral surface area of a right circular cone generated by revolving the region bounded by y = 3x/4, y = 3, and x = 0 about the y-axis, we need to follow these steps,

1. Find the height and slant height of the cone.
2. Use the formula for the lateral surface area of a cone: LSA = πr * l, where r is the radius and l is the slant height.

Find the height and slant height of the cone.
The equation of the line is y = 3x/4. We are given that y = 3, so we can solve for x:
3 = 3x/4
x = 4

Thus, the height (h) of the cone is 3, and the base radius (r) is 4. To find the slant height (l), we can use the Pythagorean theorem:
l² = h² + r²
l² = 3² + 4²
l² = 9 + 16
l² = 25
l = 5

Use the formula for the lateral surface area of a cone.
LSA = πr * l
LSA = π(4) * (5)
LSA = 20π

The lateral surface area of the cone is 20π square units.

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any finite set is countable yes  (a) True

A finite set is countable because it has a specific number of elements that can be put into one-to-one correspondence with a subset of natural numbers. In other words, you can assign a unique natural number to each element in the finite set without running out of natural numbers to assign.


1. A finite set has a limited number of elements, meaning there is an exact count for the elements in the set.
2. A countable set is a set whose elements can be put into one-to-one correspondence with a subset of natural numbers (0, 1, 2, 3, ...).
3. Since a finite set has a specific number of elements, we can assign a unique natural number to each element without running out of numbers.
4. This one-to-one correspondence between the elements in the finite set and the natural numbers demonstrates that the set is countable.

Finite sets are countable because they contain a specific, limited number of elements that can be matched up with a subset of natural numbers. By establishing a one-to-one correspondence between the elements in the finite set and natural numbers, we can effectively count the elements in the set, making it countable.

Any finite set is countable because its elements can be placed in one-to-one correspondence with a subset of natural numbers, allowing for the set to be effectively counted.

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4.

A slope is the steepness of the line, rise over run, change in y over change in x

A translation is a type of transformation that moves each point in a figure the same distance in the same direction (up, down, left right).

5. reflection on y-axis

6. vertical translation & horizontal translation

7. horizontal translation & vertical stretch

8. vertical translation & Horizontal stretch

9. vertical translation & horizontal translation & reflection over the x-axis & horizontal translation

10. vertical translation & horizontal stretch

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