which number of the solar system has an equatorial diameter of 3.48x10^3 kilometers

Answer:

  19

Step-by-step explanation:

382 can be divided 33 ways to give 11 apples in each bag with a remainder of 19 apples.

Answer:

girlll so much work

Step-by-step explanation:

The value of car after 5 years will be 13,193.30

Define Modelling Exponential Decay

Given that,

The value of car = 25000

It depreciates at a rate of = 12 % per year

The value of car after 5 year is = 25000(1 - 12/100) ^ 5

                                                   = 25000 (0.88) ^ 5

                                                   = 13193.297 or 13,193.30

Hence, the value of car after 5 years will be 13,193.30

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Answer:

B

Step-by-step explanation:

\(7\frac{1}{2} - 3\frac{3}{4} - 2\frac{5}{6} \\= \frac{15}{2} - \frac{15}{4} - \frac{17}{6} \\(common denominate is 12)\\=\frac{90}{12} -\frac{45}{12} -\frac{34}{12} \\\\=\frac{11}{12}\)

The number of books the library holds before it received the grant is 17,312 books

Let the original number of books in the library be x

If the collection  now is five times more than the original number of books, then;

x + 69,248 = 5x

5x - x = 69,248

4x = 69,248

x = 69,248 /4

x = 17,312

Hence the number of books the library holds before it received the grant is 17,312 books

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39 subjects were tested in this simple one-way ANOVA.

The df for F distribution is (treatment df, error df)

Using given information

Treatment df = 7

Error df = 31

Total df= 7+31 = 38

Again, total df = N-1, N= number of subjects tested

Then, N-1 = 38

=> N= 39

One-way ANOVA is typically used when there is a single independent variable or factor and the goal is to see whether variation or different levels of that factor have a measurable effect on the dependent variable.

The t-test is a method of determining whether two populations are statistically different from each other, and ANOVA determines whether three or more populations are statistically different from each other.

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Given;

The graph of a line.

To find:

The slope of the line.

Solution:

From the given graph it is clear that the line passes through the points (1,7) and (3,5).

So, the slope of the given line is

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

\(m=\dfrac{5-7}{3-1}\)

\(m=\dfrac{-2}{2}\)

\(m=-1\)

Slope of the line is -1.

Therefore, the correct option is D.

Answer:

240 If its wrong pleas correct me

Answer:

A = 54 is the correct answer!

Step-by-step explanation:

I did this test too! Hope this helped!

The distance the spring will be stretched with an object weighing 29 kilograms is 47 centimeters

From the question, we are to determine the distance the spring will be stretched with an object weighing 29 kg

From the given information,

The distance, D, that a spring is stretched by a hanging object varies directly as the weight, W, if the object

That is,

D ∝ W

Then, we can write that

D = kW

NOTE: k is the constant of proportionality

Also, from the given information,

An object weighing 30 kilograms stretched the spring 49 centimeters

That is,

D = 49 cm

W = 30 kg

Putting the parameters into the equation to solve for k, we get

49 = k × 30

∴ k = 49/30

Now, for the distance stretched when weight is 29 kg

Using D = kW, we get

D = (49/30) × 29

D = 1421/30

D = 47.367

D ≅ 47 cm

Hence, the distance the spring will be stretched with an object weighing 29 kilograms is 47 centimeters

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Answer:

C

Any time you have a subtraction and a negitive right next to eachother, it means to add. So, you would add 13 and 1 to get 14, then keep the denominator 19 to get 14/19.

Step-by-step explanation:

Answer: 14/19

To subtract fractions, we want to find the LCD and then combine. So the correct answer is C) 14/19

14/19

Decimal Form:

0.73684210

Hope this helps =)

The perimeter first figure that is made of a square and equilateral triangle is 52 cm.

What exactly are squares?

A square is a two-dimensional planar shape with four equal sides and four 90-degree angles. The features of a rectangle are similar to those of a square, but the distinction is that a rectangle has just its opposing sides equal.

A square's most significant qualities are

The diagonal of a square is divided into two isosceles triangles.

Square area=(side)²

Square perimeter=4*side

Now,

For first figure given that

sides of square are 14 cm in length

and length of side of equilateral triangle are=5 cm

but for finding perimeter of the figure only 3 sides of square and 2 sides of triangle are needed.

So, perimeter=3*14+2*5

=42+10

=52 cm

hence,

         The perimeter first figure 52 cm.

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Answer:

  (x -2)² +(y -3)² = 169

Step-by-step explanation:

You want the equation of the circle through (7, 15) centered at (2, 3).

The standard-form equation for a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

The value of r² can be found using the distance formula.

  d = √((x2 -x1)² +(y2 -y2)²)

  d² = r² = (7 -2)² +(15 -3)² = 5² +12² = 25 +144

  r² = 169

The circle equation is ...

  (x -2)² +(y -3)² = 169

__

Additional comment

You may recognize the triangle shown in the attachment as having side measures that are the Pythagorean triple {5, 12, 13}. That is, once you see coordinate differences of 5 and 12, you know the circle radius is 13, and r² = 13² = 169.

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The basic shapes are used in modeling real-world objects include cubes, rectangles, and triangles.

Creating a geometric model of something before producing is important in order to have a. accurate and detailed analysis of the shape.

Three-dimensional models can be made from simple shapes such as cubes, rectangles, and triangles in the most basic case. These shapes are then transformed into intricate, high-polygon designs.

Key elements can be created, transformed, and integrated into the desired shape using geometric modeling applications. The geometric model informs the system model about critical sizing and tolerances, other physical properties, and mechanical interconnection.

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Answer:

To the nearest thousands; 36,000 customers were surveyed.

Step-by-step explanation:

Conversion of figures to the nearest thousand often requires rounding up digits that are not up to 5 in the place of hundreds to zero and rounding up the digits that are up to 5 in the place of hundreds to one, therefore, adding it to the value of the previous thousands.

From the given  question, to round up the number of customers surveyed in the company, we have the following:

since we are given the value to be 36,219

9 is in unit position

1 is in tens

2 is in hundreds

6 is in thousands

3 is in ten thousand

since the value of 2 in hundred is not up to 5, we round it up to zero, Then our value becomes 36,000 to the nearest thousand.

There are 155 ways to select three vehicles so that at least one truck is chosen.

To solve the problem given above, we first need to calculate the total number of ways of choosing three vehicles without any restrictions. We can do this by using the combination formula.

The number of combinations of n objects taken r at a time is given by:

nCr = n! / r! (n - r)!

where n! is the factorial of n (i.e. the product of all positive integers up to n), r! is the factorial of r, and (n - r)! is the factorial of n - r.

Using this formula, we can calculate the total number of ways of choosing three vehicles as follows:

nCr = 11! / 3! 8! = 11 × 10 × 9 / 3 × 2 × 1 = 165

Now, we need to calculate the number of ways of choosing three vehicles so that no truck is chosen. Since there are 5 cars, we can choose 3 cars in 5C3 = 10 ways.

Therefore, the number of ways of choosing three vehicles so that at least one truck is chosen is given by the difference between the total number of ways of choosing three vehicles and the number of ways of choosing three vehicles so that no truck is chosen.

Thus, the number of ways of choosing three vehicles so that at least one truck is chosen is:

165 - 10 = 155

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Answer:

Step-by-step explanation:

(8-10)/2 = -2/2 = -1

(10-10)/2= 0/2 = 0

(-1, 0)

Answer:

Please check the explanation.

Step-by-step explanation:

We know that a pentagon is a polygon with 5 sides and 5 angles.

Given the polygon with 5 angles.

A pentagon is a polygon with 5 sides and 5 angles.

The angles of the given pentagon are:

∠P = (4x + 2)°

∠Q = 132°

∠R = (4x - 10)°

∠S = (5x - 11)°

∠T = 128°

We know that the sum of the measures of the interior angles of a pentagon is 540 degrees.

Therefore,

∠P + ∠Q + ∠R + ∠S + ∠T = 540°

(4x + 2)° + 132° + (4x - 10)° + (5x - 11)° + 128° = 540°

group similar elements

4x + 4x + 5x + 2 + 132 - 10 - 11 + 128 = 540

simplify

13x + 241 = 540

subtract 241 from both sides

13x + 241 - 241 = 540 - 241

13x = 299

divide both sides by 13

13x/13 = 299/13

x = 23

Thus, the value of x = 23

Therefore, the measure of angle ∠S is:

m∠S = (5x - 11)°

        = (5(23) - 11)°

        = (115 - 11)°

        = 104°

Thus,

m∠S = 104°

Answer:

3\(\sqrt{5}\)

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (- 1, 1)

d = \(\sqrt{(-1-5)^2+(1-4)^2}\)

   = \(\sqrt{(-6)^2+(-3)^2}\)

   = \(\sqrt{36+9}\)

   = \(\sqrt{45}\)

   = 3\(\sqrt{5}\) ← exact value

   ≈ 6.71 ( to 2 dec. places )

Answer:

\(x=\sqrt{13}\)

Step-by-step explanation:

Base of the isosceles triangle = 4

Perpendicular of the triangle = 3

In an isosceles triangle , a perpendicular bisects a base equally. So, here the isosceles triangle consist of 2 right angled triangles.

In that right angled triangles,

Base = 4/2 = 2 (∵ A perpendicular divides a base into 2 equal parts. )

Perpendicular = 3

Hypotenuse = x

So , according to Pythagorean Theorem ,

\(Hypotenuse = \sqrt{Base^2 + Perpendicular^2}\)

Using all the values above into the formula gives :-

\(x =\sqrt{2^2 + 3^2} = \sqrt{4+9} =\sqrt{13}\)

Answer:

12/35

Step-by-step explanation:

tan = opposite side / addjesent side

Tan (A) = 12 / 35

The statement that is correct among the given statements is "This survey probably overestimates the percent of people favoring more hunting restriction." This survey probably overestimates the percent of people favoring more hunting restriction.

Explanation: In the given scenario, a simple random sample of 1200 adult Americans was chosen, but only 500 people agreed to respond. And, among the 500 who responded, nearly 90% were in agreement. The sample size, in this case, is relatively small, and the low response rate might result in a biased sample. There is no assurance that the 500 people who chose to answer are representative of the overall 1200 people. This may also be the case that people who oppose the hunting of deer could be more likely to respond to the survey than those who support it. As a result, this survey overestimates the percentage of people who support hunting restrictions.

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The function f is non-negative for all values of x1 and x2, and the critical point x* = (0, 0)T is the only possible point where f equals zero, we can conclude that x* = (0, 0)T is the global minimum of the function f.

To explain why the point x* = (0, 0)T is the global minimum of the function f = x1^2 + x2^2, we can analyze the properties of the function and its critical point.

First, let's consider the function \(f = x1^2 + x2^2\). This function represents the sum of the squares of two variables x1 and x2.

Since the squares of real numbers are always non-negative, the function f is non-negative for any values of x1 and x2. It means that f(x1, x2) ≥ 0 for all real values of x1 and x2.

Now, let's analyze the critical point x* = (0, 0)T, which we found by setting the gradient of f equal to zero (∇f = 0).

∇f = (2x1, 2x2)

Setting ∇f = 0, we have:

2x1 = 0

2x2 = 0

From these equations, we can see that x1 = x2 = 0 satisfies the conditions. Therefore, (0, 0)T is a critical point of the function.

To determine if x* = (0, 0)T is the global minimum, we need to check the behavior of f around x*.

If we consider any other point (x1, x2) ≠ (0, 0), the value of f will be greater than zero, as f(x1, x2) ≥ 0 for all (x1, x2).

Therefore, since the function f is non-negative for all values of x1 and x2, and the critical point x* = (0, 0)T is the only possible point where f equals zero, we can conclude that x* = (0, 0)T is the global minimum of the function f.

In other words, no other point (x1, x2) can produce a smaller value for f than (0, 0)T, making it the global minimum.

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The translations for this problem are given, respectively, by:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For the first translation, the orientation remains the same, just the positions changes, hence it is translated 9 units to the right and 2 units down.

For the second translation, the rule applied to each vertex was:

(x,y) -> (x,-y).

Hence it was reflected across the x-axis.

For the third translation, the rule applied to each vertex was:

(x,y) -> (-x,y).

Hence it was reflected across the y-axis.

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Answer:

44

Step-by-step explanation:

we know that

 [volume of right circular cylinder]=pi*r²*h

Vo=pi*r²*h--------------> original volume

Vo= 22 cm³

if twice the radius and half the height

r1=2*r

h1=h/2

then

V1=pi*ri²*h1

substituting

V1=pi*(2*r)² *(h/2)----------->V1= pi*4*r² *h/2-----------> V1=2*pi*r² *h

V1=2*[pi*r² *h]------------> V1=2Vo

V1=2*22=44 cm³

Answer:

Step-by-step explanation:

1.   9

2. 32

3. 813

4. 264

5. 169

Two point charges, q1 = 3.99 nC located at x = 0.205 m and q2 = 5.01 nC at x = -0.302 m, are placed on the x-axis. The electric field and direction at a given point can be calculated using the principle of superposition.

The electric field at a point due to a point charge is given by Coulomb's law, E = kq/r^2, where E is the electric field, k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q is the charge, and r is the distance between the point charge and the point where the electric field is being measured. To calculate the net electric field at a point due to multiple charges, we use the principle of superposition, which states that the total electric field at a point is the vector sum of the electric fields due to each individual charge.

In this case, we have two charges, q1 = 3.99 nC and q2 = 5.01 nC. The electric field at a point P on the x-axis, due to q1, can be calculated as E1 = kq1/r1^2, where r1 is the distance between q1 and point P. Similarly, the electric field at point P due to q2 can be calculated as E2 = kq2/r2^2, where r2 is the distance between q2 and point P. To find the net electric field at point P, we add the electric fields vectorially, E_net = E1 + E2.

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The nth term of the sequence is 0, -31, -84. -159. -256, -375, -516

From the information given, we have that the quadratic sequence is;

12, 17, 24, 33, 44, 57, 72,...

To determine the nth term, we take the following steps accordingly, we have;

Then, we have that;

The second difference is;

17 - 12 = 5

24 - 17 = 7

33 - 24 = 9

Second difference = 7 - 5 = 2

Then an² = 12n²

Substitute each of the values, we get;

12(1)² = 0

12(2)² = 12(4) = 48 - 17 = -31

12(3)² = 12(9) = 108 = -84

12(4)²  = 12(16) = -159

12(5)²= -256

12(6)² = -375

12(7)² = -516

Then, the arithmetic sequence is:

0, -31, -84. -159. -256, -375, -516

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