Fill in the missing terms.

a) 1 : 2 = ___ : 4 b) 1 : ___ = 3 : 6 c) 3 : 5 = ___ : 10

d) 1 : 5 = 3 : ___ e) ___ : 6 = 1 : 3 f) 9 : 15 = ___ : 5

Answer:

3 *6=12

3+6=9

9+3=12

2*5=2+5=7

7+2=9

a*b=a+b+a

Answer:

Put the equations in the form y=mx+c and after that, take any two values for x, fill in the equation of y=mx+c to get the corresponding y coordinate and take any value for y, to get the corresponding x coordinate. For this example i took x=0 and y=0, feel free to try it again with any other value. If you get a fraction and don't what to work with fractions, just do a trial and error till you get a whole number (as i did for Question 21 for the x and y coordinates)

Answer: A

Step-by-step explanation: I did this on paper so its hard for me to write it done, like I cant copy and paste lol.

Answer:

It’s b I think

Step-by-step explanation:I is big dumb

Answer: half x base x height

I hope that will help you have a great day bye and Mark brainlist if the answer is correct .......

Step-by-step explanation:

\(kai6417 \)

#carry on learning

The area of the given trapezoidal site is 250,000 sq. ft.

The area of the trapezoidal with the dimensions of both bases and the height is given by the formula,

Area = 1/2 × height × (base1 + base2)

Units: square units

The given trapezoidal site has a base of 150 feet, i.e., base1 = 150 ft; a height of 2000 ft, i.e., height = 2000 ft and a parallel base of 100 feet, i.e., base2 = 100 ft.

Then, the area of the trapezoidal is

= 1/2 × 2000 × (150 + 100)

= 1/2 × 2000 × 250

= 250,000 sq. ft

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If we find that the null hypothesis, H_0 : B_j = 0, cannot be rejected when testing the contribution of an individual regressor variable to the model, we usually should 1. remove the variable from the model.

This is because if the variable is not contributing significantly to the model, it is not useful in predicting the outcome. Therefore, removing the variable will simplify the model and potentially improve its accuracy.
Options 2 and 3 (doing nothing or adding a quadratic term in x) would not be appropriate if the variable is not significant, as they would not address the issue of the variable's lack of contribution.
Option 4 is also incorrect because we do need to take action if a variable is not contributing significantly to the model.

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The z-transform of a sequence x(n) is: X(z) = 1 - 3z⁻⁴ + z⁻⁵z + 2z⁻² + z⁻³.

The z-transform is a mathematical transformation used to convert a discrete-time sequence, x(n), into a function of the complex variable z. In this case, we have the z-transform X(z) of a sequence x(n).

The given expression X(z) = 1 - 3z⁻⁴ + z⁻⁵z + 2z⁻² + z⁻³ represents the z-transform of x(n). Each term in the expression corresponds to a coefficient multiplied by a power of z⁻¹, where z⁻¹ represents the delay operator.

To obtain the original sequence x(n) from its z-transform, we can use the inverse z-transform. By applying the inverse z-transform to the given expression, we can determine the sequence x(n) in the time domain.

The inverse z-transform involves finding the residues of the z-transform function and evaluating the corresponding inverse transform formula. The result will provide the original sequence x(n) in terms of its time-domain values.

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Answer:

Hi

Step-by-step explanation:

The expression was reduced to it's lowest expression or term or we say we found the common factor amongst them

Answer:

He had 225 oranges to start with

(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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The given vector equation represents a twisted tube or helix in three-dimensional space. The given vector equation r(s, t) = s sin(5t), s², s cos(5t) represents a parametric surface in three-dimensional space.

To identify the surface, let's analyze the components of the vector equation:

x = s sin(5t)

y = s²

z = s cos(5t)

From the equation, we can observe that the variable s appears in all three components. This suggests that the surface is radial, meaning it extends outward from the origin (0, 0, 0) or contracts towards it.

The trigonometric functions sin(5t) and cos(5t) indicate periodic behavior along the t direction. These functions oscillate between -1 and 1 as t varies.

The component s² indicates that the surface extends or contracts based on the square of s. When s > 0, the surface expands outward, and when s < 0, it contracts towards the origin.

Considering these observations, we can identify the surface as a twisted tube or a helix that extends or contracts radially while twisting in a periodic manner along the t direction.

In summary, the given vector equation represents a twisted tube or helix in three-dimensional space.

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the volume of the silo is approximately 11,657.88 cubic meters.

To find the volume of the silo, we need to calculate the volumes of the cylinder and the cone separately, and then add them together.

The radius of the base of the silo is half the diameter, so it's 10 meters / 2 = 5 meters.

The height of the cylinder is given as 27 meters. Since the height of the cone is half the height of the cylinder, the height of the cone is 27 meters / 2 = 13.5 meters.

The volume of a cylinder is calculated using the formula:

Volume of Cylinder = π * radius^2 * height

Plugging in the values, we get:

Volume of Cylinder = π * 5^2 * 27 = 3375π cubic meters (approximately 10,598.07 cubic meters)

The volume of a cone is calculated using the formula:

Volume of Cone = (1/3) * π * radius^2 * height

Plugging in the values, we get:

Volume of Cone = (1/3) * π * 5^2 * 13.5 = 337.5π cubic meters (approximately 1059.81 cubic meters)

Adding the volumes of the cylinder and the cone, we get:

Volume of Silo = 3375π + 337.5π = 3712.5π cubic meters (approximately 11,657.88 cubic meters)

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Answer: 45ft

Step-by-step explanation:

You do 8 x 5 first which you get 40 then you do 10 x 5 which you get 50 you add 40 and 50 you get 90 and since it’s made out of triangles you do bh1/2 so you do 90 x 1/2 or 90 / 2 and you get 45ft

Answer:

u = 5

Step-by-step explanation:

Hello!

Solve for u by isolating the variable.

The value of u is 5.

Answer:

12 x 600 divided by 6 plus 47 - 10 X 20+ 1,469= 2,516

Step-by-step explanation:

Answer:

2,516

Step-by-step explanation:

Im sorry the person that answered Frist was right. I had it worng

The equation of the locus of the moving point that maintains a distance of 4 units from the X-axis is y = ±4, representing two parallel horizontal lines.

To find the equation of the locus of a point that always maintains a distance of 4 units from the X-axis, let's analyze the given information.

Let P(x, y) be the moving point and Q(x, 0) be the fixed point on the X-axis. The distance between P and Q is denoted by PQ. According to the problem, PQ is always 4 units.

Using the distance formula, we have:

PQ² = (x - x)² + (y - 0)²

Since the x-coordinate of both P and Q is the same (x - x = 0), the equation simplifies to:

PQ² = y²

Substituting the value of PQ as 4 units:

4² = y²

16 = y²

Taking the square root of both sides:

\(\sqrt{16 } = \sqrt{y^2}\)

±4 = y

Therefore, the y-coordinate of the moving point P can be either positive or negative 4, giving us two possible solutions for the y-coordinate.

Hence, the locus of the moving point P that maintains a distance of 4 units from the X-axis is given by the equation:

y = ±4

This equation represents two horizontal lines parallel to the X-axis, with y-coordinates at +4 and -4. Any point (x, y) on these lines will always be at a constant distance of 4 units from the X-axis.

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Answer: coeficient is 20 and the constant which is 13

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

either 1/9 or -1/9, they both work

Step-by-step explanation:

the problem is |-9x| + 3 = 4

-9x = 1

x = -1/9

and since it is absolute value you use both the positive and the negative...

hope this helps

Answer:No

Step-by-step explanation:

It is not a polynomial because the definition of a polynomial states is an equation or statement that consists of many terms this expression clearly only has one term.

Answer:

3/10

Step-by-step explanation:

The coordinates of the vertices of the triangle after the translation are:

A' = (8, 3)

B' = (1, 3)

C' = (-1, 0)

To find the coordinates of the vertices after the given translation, you need to apply the translation to each vertex of the triangle.

Let's denote the original vertices of the triangle as follows:

A = (4, 5)

B = (-3, 5)

C = (-5, 2)

The translation vector is (4, -2).

To apply the translation to each vertex, you simply add the components of the translation vector to the corresponding components of the original vertices.

For vertex A:

A' = (x + 4, y - 2)

= (4 + 4, 5 - 2)

= (8, 3)

For vertex B:

B' = (x + 4, y - 2)

= (-3 + 4, 5 - 2)

= (1, 3)

For vertex C:

C' = (x + 4, y - 2)

= (-5 + 4, 2 - 2)

= (-1, 0)

Therefore, the coordinates of the vertices of the triangle after the translation are:

A' = (8, 3)

B' = (1, 3)

C' = (-1, 0)

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Answer:

f(t)=3.75+0.45t

Step-by-step explanation:

Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

Answer:

b

Step-by-step explanation:

because when u multiply the number that is outside of the bracket with the number inside the bracket it suppose to equal to the equation bk .....so b is the answer

Answer:

210 ways

Step-by-step explanation:

In this question we are asked to find the number of ways that 2 students can be chosen from 15 student total.

We can solve this question by thinking about picking each of the 2 students:

How many ways are there to choose the first student?

         There are 15 ways.

How many ways are there to choose the second student?

         There are 14 ways because one student has already been chosen, so the total number of students is now one less that 15.

We can find the total number of ways to choose 2 students from 15 by multiplying the number of ways to choose the first student by the number of ways to choose the second student:

15 × 14 = 210 ways

Using the information given, it is found that the 95% confidence interval for the proportion of all U.S. adults who experienced depression in that year is (0.075, 0.081).

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(\frac{1+\alpha}{2}\).

3156 out of 40467 adults experienced depression, hence:

\(n = 40467, \pi = \frac{3156}{40467} = 0.078\)

95% confidence level

So \(\alpha = 0.95\), z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so \(z = 1.96\).  

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.078 - 1.96\sqrt{\frac{0.078(0.922)}{40467}} = 0.075\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.078 + 1.96\sqrt{\frac{0.078(0.922)}{40467}} = 0.081\)

The 95% confidence interval for the proportion of all U.S. adults who experienced depression in that year is (0.075, 0.081).

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Answer:

9 < x < 21

Step-by-step explanation:

Given 2 sides of a triangle then the 3rd side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

15 - 6 < x < 15 + 6 , so

9 < x < 21