1 and 2 are supplements, 3 and 4 supplements and 1 =4. prove 2=3
​

Answer)

a

hope this helps

Answer:

$ 226.56

Step-by-step explanation:

Calculation:

First, converting R percent to r a decimal

r = R/100 = 12.8%/100 = 0.128 per year,

then, solving our equation

I = 590 × 0.128 × 3 = 226.56

I = $ 226.56

The simple interest accumulated

on a principal of $ 590.00

at a rate of 12.8% per year

for 3 years is $ 226.56.

590 · 12.8% = 590 · .128 = 75.52

75.52 · 3 = 226.56

Hope this helped!

Answer: .416666667

Step-by-step explanation: Take 80 and divide it by 192.0= .416666667

Answer:

Step-by-step explanation:

(8-8)/(-14+4) = 0/-10 = 0 is the slope

Answer:

mean is the average value in the list.

first you add all number, then divide that value by the total number in the list

lets say (2,3,4,5)

you add 2+3+4+5 = 15 / 4

4 is the count

you'll get the average.

medium is the middle value in the list, but you should list from least to greatest

mode is repeated value in the list

Answer:

Step-by-step explanation:

The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers. The "median" is the "middle" value in the list of numbers.

The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half. In simple terms, it may be thought of as the "middle" value of a data set. For example, in the data set {1, 3, 3, 6, 7, 8, 9}, the median is 6, the fourth number in the sample. The median is a commonly used measure of the properties of a data set in statistics and probability theory.

The mode is the value that appears most often in a set of data. The mode of a discrete probability distribution is the value x at which its probability mass function takes its maximum value. In other words, it is the value that is most likely to be sampled.

Work Shown:

n = a number, aka a placeholder for a number

3n = triple a number

3n-4 = four less than triple a number

So whatever n is, we multiply by 3 and then subtract off 4.

As an example, if n = 12, then 3n-4 = 3*12-4 = 36-4 = 32.

The clearinghouse and research middle on servant management is now called c. The Greenleaf Center for Servant Leadership.

The middle turned into named after Robert K. Greenleaf, who first brought the idea of servant leadership in his essay "The Servant as Leader" published in 1970. The Greenleaf Center for Servant Leadership serves as a worldwide useful resource for promoting the knowledge and exercise of servant leadership.

It conducts studies, provides educational applications, and gives a platform for individuals and businesses to study and interact with servant management ideas. The middle's recognition is on nurturing moral and compassionate management that prioritizes the nicely-being and growth of individuals and the groups they serve. Through its initiatives, the Greenleaf Center pursuits to inspire and empower leaders to create a superb and impactful exchange by embracing the servant management philosophy.

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The clearinghouse and research center on servant leadership is called The Greenleaf Center for Servant Leadership.

The clearinghouse and research center on servant leadership is called The Greenleaf Center for Servant Leadership. It is a nonprofit organization that was founded in 1964 by Robert K. Greenleaf. The center is dedicated to promoting the principles of servant leadership, which emphasizes serving others and putting their needs first.

The Greenleaf Center conducts research, provides resources and training, and serves as a hub for individuals and organizations interested in servant leadership.

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Answer:

b - 1/4 = 3 1/2

Step-by-step explanation:

b - 1/4 = 3 1/2

b - 1/4 = (3 + 1/2)

4b = 15

b = 15/

4

= 3.75

Answer:

70 x 4

Step-by-step explanation:

To round to one significant figure we have to round each numbers to the first numbers greater than 0

To round 74.5 to 1sf we have to round it to the nearest 10. As the number next to it (4) is less than 5 we will round down to 70

To round 3.6 to 1sf we have to round to the nearest whole number. As the number next to it (6) is greater than 5 we will round up to 4

Hope this helps, have a great day!

2 ( 3y + 10)

Use 2 to multiply both 3y and 10

Therefore, you have

2 x 3y + 2 x 10

6y + 20

The particle is speeding up after 1.67 seconds.

What is displacement ?

In physics, displacement refers to the distance and direction of an object's change in position from its starting point to its ending point. It is a vector quantity, which means that it has both magnitude and direction.

Displacement is different from distance, which is the total length of the path an object has traveled, regardless of direction. Displacement only considers the straight-line distance and direction between the starting and ending points.

According to given conditions :

To determine when the particle is speeding up, we need to find the acceleration of the particle.

The acceleration of the particle is given by the second derivative of its position function:

a(t) = s''(t) = 6t - 10

The particle is speeding up when its acceleration is positive. So, we need to find the values of t for which a(t) > 0.

Setting a(t) > 0, we have:

6t - 10 > 0

6t > 10

t > 10/6

t > 1.67

Since t ≥ 0, the particle is speeding up when t > 1.67.

Therefore, the particle is speeding up after 1.67 seconds.

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Answer:

x = -6

Step-by-step solution:

The two points you have are (-6, 8) and (-6, 2).

1) First, you want to find the slope.

The equation for slope is \(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\).

Let's have (-6, 8) be x_{1} and y_{1}, and (-6, 2 ) x_{2} and y_{2}.

So, you would get \(\frac{2 - 8}{-6 - (-6)}\)= \(\frac{-6}{0}\) = 0.

Since there is no slope, you know this is a horizontal or vertical line.

Because the two points have the same x- value, you know that it is a vertical line at x = -6.

You can see the two points and the line in the graph I've attached below.

The best prediction is

(C) x → ∞, f(x) → –∞, and as x → –∞, f(x) → ∞.

An interval is a set of real numbers between two given numbers called the endpoints of the interval.

Given:

x  f(x)

-4  18

-3  9

-2  6

-1  3

0  0

1  -3

2  -6

3  -9

4  -18

As, from the table x increases, the value of f(x) decreases

i.e. Over time, when x → ∞, f(x) → –∞

and then x decrease, the value of f(x) increases

when x → –∞, f(x) → ∞.

Hence, best predicts the end behavior of the graph of f(x) is x → ∞, f(x) → –∞, and as x → –∞, f(x) → ∞.

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Answer:

its C

Step-by-step explanation:

The specific name of the quadrilateral is kite

The measures of the missing angles are 75 degrees each

To determine the measure of the angle, we need to know the different properties of a kite.

The properties of a kite includes;

Since the adjacent angles are equal, we have that;

105+ x = 180

collect the like terms, we have;

x = 180 - 105

x = 75 degrees

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The quadrilateral is a kite and the missing angles are 105° and 45°

A kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.

A kite has a pair of equal angle and the diagonals of a kite meets at 90°.

In a kite , there are two pairs of congruent or equal sides.

This means that the missing angles are

The opposite angle to 105 is also 105°

The fourth angle is calculated as;

105+105+105+x = 360

= 315 +x = 360

x = 360- 315

x = 45°

Therefore the quadrilateral is a kite and the missing angles are 105° and 45°

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The length of the diagonal of the rectangle JKLM is given as follows:

√130

The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.

For this problem, the diagonal of the rectangle is the hypotenuse of a right triangle, for which the sides are given as follows:

Hence the diagonal length is obtained as follows:

d² = 9² + 7²

d² = 81 + 49

d = √130

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Answer:

6n-5

Step-by-step explanation:

let 'n' equal 'a number'

the equation above means you are multiplying 6 and that number, then reducing it by 5

The statement is true because the rows of A^T are the columns of (A^T)^T=A(D)

The row space of A^T is spanned by the rows of A, which are also the columns of A^T. Therefore, the row space of A^T is the same as the column space of A.

This can also be seen from the fact that the rank of A^T is equal to the rank of A, and the dimension of the row space and column space of A are both equal to the rank of A. Thus, the statement is true.Therefore the correct answer is option D the statement is true because the rows of A^T are the columns of (A^T)^T=A.

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Answer:

The value of tan(3π/4) is indeed -1.

Now, to evaluate tan(3π/4 - π), we can use the following trigonometric identity:

tan(a - b) = (tan(a) - tan(b)) / (1 + tan(a)*tan(b))

Applying this identity to the expression tan(3π/4 - π), we get:

tan(3π/4 - π) = (tan(3π/4) - tan(π)) / (1 + tan(3π/4)*tan(π))

Substituting the values of tan(3π/4) = -1 and tan(π) = 0, we get:

tan(3π/4 - π) = (-1 - 0) / (1 + (-1)*0) = -1

So the value of tan(3π/4 - π) is also -1, which is the same as the value of tan(3π/4).

In other words, the value of tan(3π/4 - π) is equal to the value of tan(3π/4) because π is equal to 180 degrees, which is a full rotation. Subtracting a full rotation from an angle simply results in an equivalent angle in the opposite direction. Thus, the values of tangent for both angles remain the same.

Answer:

70.3068

explanation:

divide the mass value by 2.205

Answer:

69.75 kg

Step-by-step explanation:

1:0.45

155:x

x=155×0.45

x=69.75 kg

Answer:

(15,19

Step-by-step explanation:

Answer:

326.56 square feet

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given function:

The x-coordinate of a quadratic function y = ax² + bx + c is determined by:

The given function has:

Find the value of b:

The function is:

The y-coordinate of the vertex is:

Answer:

Solution given:

y = -x² + bx + 3

we have

The x-coordinate of a quadratic function y = ax² + bx + c is determined by:

x = \( \frac{ - b}{2a} \)

we have

x = 10, and a = -1

Substituting value of a in -b/2a

we get

b = 20

now

The y-coordinate of the vertex is:

y = -(10²) +20*10+ 3 = -100 + 200 + 3 = 103 is your answer.

All the elements in DUE are {16,18,19,20,21}. And the elements are combined elements of D and E.

The set containing all the components that are present in both sets A and B, or both sets A and B combined, is referred to as the union of two sets A and B. The symbol "aUb" stands for the union of the sets a and.

Given, sets D = {16,19.21},

E = {16,18, 19,20},

and F = {15, 17, 18,19,21}.

To find the elements in the set DUE:

Here, we have to find the collection of sets D and E

And we have the elements of,

D = {16,19.21}

And E = {16,18, 19,20}.

To find the union of sets, we take all the elements in the union set.

And while doing, we should not repeat the elements.

And put the elements in the ascending order.

So, the union of set D and E is,

DUE = {16,18,19,20,21}

Therefore, the DUE is {16,18,19,20,21}.

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Answer:

21 to the tenth power or 21^10

Step-by-step explanation:

when multiplying exponents with the same base, you would add the exponents together

(a) The magnitude of the electric field at r = 3.55 cm is 5.95 x 10⁴ N/C.

(b) The magnitude of the electric field at r = 9.26 cm is 2.17 x 10⁴ N/C.

The electric field at a radial distance r from an infinitely long, uniformly charged wire is given by:

E = (kA) / r

where;

(a) For r = 3.55 cm, we have:

E = (kA) / r = (9 x 10^9 N m^2/C^2) x (4.75 x 10^-8 C/m) / (0.0355 m)

E = 5.95 x 10^4 N/C

Therefore, the electric field is calculated as;

(b) For r = 9.26 cm, we have:

E = (kA) / r = (9 x 10^9 N m^2/C^2) x (4.75 x 10^-8 C/m) / (0.0926 m)

E = 2.17 x 10^4 N/C

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After considering the given data we conclude that the given width of the rectangle is 5x - 8, under the condition that the given area of the rectangle is 35x²-36x-32 and length of the rectangle is 7x + 4.

To evaluate the width of a rectangle given its area and length, we can apply the formula:
width = area / length
As we all know the area of the rectangle is 35x²-36x-32 square inches and its length is 7x + 4 inches.
So, staging these values in the formula above, we get:
width = (35x²-36x-32) / (7x + 4)
Here we have to perform polynomial division.  
(35x²-36x-32) / (7x + 4)
= (5x - 8)(7x + 4) / (7x + 4)
= 5x - 8
Therefore, the measure of the width is  5x - 8.
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Answer:

x= -3

Step-by-step explanation:

7+\(\frac{2x}{3}\) = 5

21+2x=15

2x=-6

x= -3

Answer:

x=-3

Step-by-step explanation:

Use PEMDAS to solve. Balance both sides by subtracting 7 from both sides. Then, multiply both sides by 3. Finally, divide the result by 2 to isolate x and you end up with x=-3

Answer:

The cube of the largest number is < 19683

Step-by-step explanation:

let the three integers be :- x, x+1, x+2

x + (x+1) + (x+2) < 75  (given)

x + x + x + 1 + 2 = 75 (considering that the sum is 75)

3x + 3 = 75

3(x + 1) = 75

x + 1 = 75/3 = 25

x = 24

The largest number is x + 3

x + 3 = 27

(x + 3)^3 = 27^3

= 19683