Can you guys please help me I’ll give me a star

Answer:

yes

Step-by-step explanation:

if you break it down 2/6 = 3/9 20 divided by 6 equals 3.333... 30 divided by 9 equals 3.333...

The rates for both person are equal.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

Person 1 run 20 laps in 6 minutes.

Then the ratio = 20/6

                        = 10/ 3

Person 2 run 30 laps in 9 minutes.

Then the ratio = 30/9

                        = 10/ 3

So, the rates are equivalent.

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The result of the expression [9 4 [8 7 6 5] + 9 3] is the matrix [17 11 6 5 9 3].

The given expression is:

[9 4 [8 7 6 5] + 9 3]

The expression inside the brackets [8 7 6 5] is a 1x4 matrix. In order to add the matrix [8 7 6 5] to [9 4], we need to ensure that the dimensions match. Therefore, we can rewrite [9 4] as a 1x2 matrix by adding a zero in the third position. Thus, we have:

[9 4 0] + [8 7 6 5 9 3]

Now, the dimensions match, and we can add the corresponding elements:

[9+8, 4+7, 0+6, 0+5, 0+9, 0+3]

Simplifying the expression, we get:

[17, 11, 6, 5, 9, 3]

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Answer:

x=8

Step-by-step explanation:

4x/4=8

Multiply both sides by 4

4*4x/4=8*4

Simplify;

4x=32

Divide both sides by 4

4x/4=32/4

Simplify;

x=8

Answered by NONE other than the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!!!

HOPE THIS HELPED!!!

Answer:

it was d

Step-by-step explanation:

B is the first shape and it went right then down

B1 is what happened after it moved

Given that sin(x) = -1/2 and cos(y) = -2/5, we are to find ;a. sin(x+y)b. cos(x+y)c. the quadrant of angle x+y .To determine sin(x+y), we have to evaluate; sin(x+y) = sin(x)cos(y) + cos(x)sin(y)Substituting the values of sin(x) and cos(y);sin(x+y) = (-1/2)(-2/5) + cos(x)sin(y) = -1/5Multiplying the numerator and denominator of (-1/5) by 5/5 to obtain a common denominator of 25/25;sin(x+y) = (-1/2)(-2/5) + (5/25)cos(x)sin(y) = -1/5.

Multiplying the numerator and denominator of (5/25) by 2/2 to obtain a common denominator of 50/50;sin(x+y) = (-1/2)(-2/5) + (10/50)cos(x)sin(y) = -1/5sin(x+y) = 1/10To find cos(x+y);cos(x+y) = cos(x)cos(y) - sin(x)sin(y)Substituting the values of cos(y) and sin(y);cos(x+y) = (-2/5)cos(x) - sin(x)(-1/2) = -2/5cos(x) + 1/2sin(x).

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a. sin(x+y) = (-1/2)(-2/5) + (-√3/2)(-4/5)

b. cos(x+y) = (-√3/2)(-2/5) - (-1/2)(-4/5)

c. The angle x+y is in quadrant IV.

We have,

Given that sin(x) = -1/2 and cos(y) = -2/5, and both x and y are in quadrant III, we can find the values of sin(x+y), cos(x+y), and the quadrant of angle x+y using trigonometric identities.

a.

To find sin(x+y), we can use the sum of angles formula: sin(x+y) = sin(x)cos(y) + cos(x)sin(y).

Since sin(x) = -1/2 and cos(y) = -2/5, we substitute these values into the formula:

sin(x+y) = (-1/2)(-2/5) + cos(x)sin(y)

b.

To find cos(x+y), we use the same sum of angles formula: cos(x+y) = cos(x)cos(y) - sin(x)sin(y).

Substituting the given values:

cos(x+y) = cos(x)(-2/5) - (-1/2)sin(y)

c.

To determine the quadrant of angle x+y, we need to analyze the signs of sin(x+y) and cos(x+y) in quadrant III.

Since sin(x+y) and cos(x+y) can be expressed using the values of sin(x), cos(y), cos(x), and sin(y), we can substitute the given values into sin(x+y) and cos(x+y) and observe their signs. If both sin(x+y) and cos(x+y) are negative, then x+y is in quadrant III.

Thus,

a. sin(x+y) = (-1/2)(-2/5) + (-√3/2)(-4/5)

b. cos(x+y) = (-√3/2)(-2/5) - (-1/2)(-4/5)

c. The angle x+y is in quadrant IV.

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Answer:

\( \sf \large \: V = -1.5\)

Step-by-step explanation:

Let's solve the equation step by step,

v=u+ at

V = 2 + -7(0.5)

V = 2 + -3.5

V = -1.5

The answer would be 73.86

This problem asks to:

a) Find a model to predict the population P as a function of t (years since 2011).

b) Predict the population in 2022.

To find this information, follow the steps below.

Step 1: Write a general equation for populational growth.

The population growth can be represented as:

Where:

P is the population in time t;

Po is the initial population;

r is the rate of growth;

t is the time.

Step 2: Write the equation that represents the moose population.

Since the problems aks to evaluate the population from 2011. Use the population in 2011 as the initial population.

Then, P0 = 5,800.

Now, to find r, use the information for 2017.

In 2017,

P = 8,000

t = 6 (2017 - 2011)

Then,

To isolate r, first divide both sides by 5,800:

Take the ln from both sides.

Divide both sides by 6:

So,

(a) The equation that represents the moose population over the years is:

Step 3: Predict the population in 2022.

In 2022,

t = 11 (2022 - 2011).

Then,

(b) The moose population in 2022 will be 10,459.

Answer:

(a)

(b) 10,459.

Answer:

First term=1024

Common ratio = ½

Step-by-step explanation:

Index means its position

Even index means the 2nd, 4th, 6th ....terms

Answer:

a  19  

b 798 dollars

Step-by-step explanation:

a you just plug in a random nuber in

b all you have to do is plug 6 for x

900-17(6)=798

Answer:

81 miles

Step-by-step explanation:

From the question 7/10 of the trip has been said to be downhill. It therefore means that 3/10 is not downhill.

Miles = 270

Downhill = 7/10

Not downhill = 3/10

Now we have To calculate Miles that are not downhill (uphill)

But first I calculated for the number of downhill miles

270x7/10

Downhill = 189 miles

To get the number of not downhill miles

I subtracted 189 from the total number of miles on the question.

270 - 189

= 81 Miles.

Therefore 81 Miles of the trip are not downhill.

If you have anymore questions or need clarity please let me know on the comment section. Thank you and Good luck!

The equation of line 1 is y = (-2/3)x + 5.

The equation of line 2 is y = (-2/3)x.

The graph is shown below.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Line 1:

y = (-2/3)x + 5 ____(1)

m = -2/3

y-intercept = 5

Line 2:

It is parallel to line 1 so,

m = -2/3

y-intercept = 0

The equation of line 2 is

y = -2/3x ______(2)

We will make the graph for equations (1) and (2) as shown below.

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a) X'Y' + X'Y + XY simplifies to X' + Y.

b) A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the functions:

a) Complement is W' + X' + YZ.

b) Complement is (A' + B + C)(A'B' + C' + A'B).

a) To prove X'Y' + X'Y + XY = X' + Y, we can use Boolean algebra identities:

X'Y' + X'Y + XY

= Y'(X' + X) + XY(Distributive Law)

= Y' + XY(X + X' = 1)

= X' + Y(Commutative Law)

Therefore, X'Y' + X'Y + XY simplifies to X' + Y.

b) To prove A'BC' + ABC' + BC'D = BC', we can simplify the expression using Boolean algebra:

A'BC' + ABC' + BC'D

= BC'(A' + A) + BC'D   (Distributive Law)

= BC' + BC'D(A + A' = 1)

= BC'(BC' + BC'D = BC' + BC'(1) = BC')

Hence, A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the given functions:

a) The complement of WX(Y'Z + YZ') + W'X'(Y' + Z)(Y + Z') is W' + X' + YZ.

b) The complement of (A + B' + C')(A'B' + C)(A + B'C') is (A' + B + C)(A'B' + C' + A'B).

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In a case whereby an executive is looking to hire a new secretary to work in his office. He only interviews women for this position because he feels it is not an appropriate job for a man , we can say he is bias because secretary work is not a gender base work.

A secretary is a specialist who handles administrative tasks for an office. They also manage the inventory of office supplies, prepare paperwork, schedule appointments, and organize files.

Answering phone calls, taking messages, and managing mail. keeping a calendar and scheduling appointments. preparing, collecting, and typing reports filing. coordinating and providing for gatherings (producing agendas and taking minutes)

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(a). 4,5,6,7,...... , ......

(b) . 10,11,12,13,......,......

(c) . 24,25,26,27,.....,....

(d) . 1,3,5,7,......,.....

Here we have the sequence:

(a) . 4,5,6,7,...,.....

To check this, let's find the difference between the consecutive terms:

5 - 4 = 1

6 - 5 = 1

7 - 6 = 1

(i) . The term-to-term rule is the rule that defines the \(n^{th}\) term based on the previous terms.

Here we already know that each term in this sequence is the previous one plus six, so we can write this as:

Aₙ = Aₙ₋₁ + 1

(ii) . Then the next number in the sequence will be equal to the previous number plus 1, this is:

7 + 1 = 8

8 + 1 = 9

The next numbers in the sequence is 8 , 9

(iii) . The position-to-term rule is the general one.

Here we need to know that, the first term, A₁ = 1

Then, the \(n^{th}\) term will be A₁ plus (n - 1) times 1.

Then the rule is:

Aₙ = A₁ + (n - 1)*1

Replacing A₁ by its value, the rule becomes:

Aₙ = 1 + (n - 1)*1

(iv) . We can assume that this is an arithmetic sequence, this is, the difference between any two consecutive terms is always the same, D.

5 - 4 = 1

6 - 5 = 1

7 - 6 = 1

So we can conclude that this is an arithmetic sequence, and the difference between any two consecutive terms is always 1.

Hence, Consecutive rule is works for the first three terms.

(b) . 10,11,12,13,.......,......

To check this, let's find the difference between the consecutive terms:

11 - 10 = 1

12 - 11 = 1

13 - 12 = 1

So, b is same to a.

(c) . 24,25,26,27,......,.....

To check this, let's find the difference between the consecutive terms:

25 - 24 = 1

26 - 25 = 1

27 - 26 = 1

(i) . The term-to-term rule is the rule that defines the \(n^{th}\) term based on the previous terms.

Here we already know that each term in this sequence is the previous one plus six, so we can write this as:

Aₙ = Aₙ₋₁ + 1

(ii) . Then the next number in the sequence will be equal to the previous number plus 1, this is:

27 + 1 = 28

28 + 1 = 29

The next numbers in the sequence is 28 , 29

(iii) . The position-to-term rule is the general one.

Here we need to know that, the first term, A₁ = 1

Then, the \(n^{th}\) term will be A₁ plus (n - 1) times 1.

Then the rule is:

Aₙ = A₁ + (n - 1)*1

Replacing A₁ by its value, the rule becomes:

Aₙ = 1 + (n - 1)*1

(iv) . We can assume that this is an arithmetic sequence, this is, the difference between any two consecutive terms is always the same, D.

25 - 24 = 1

26 - 25 = 1

27 - 26 = 1

So we can conclude that this is an arithmetic sequence, and the difference between any two consecutive terms is always 1.

Hence, Consecutive rule is works for the first three terms.

(d) . 1,3,5,7,......,......

To check this, let's find the difference between the consecutive terms:

3 - 1 = 2

5 - 3 = 2

7 - 5 = 2

(i) . The term-to-term rule is the rule that defines the \(n^{th}\) term based on the previous terms.

Here we already know that each term in this sequence is the previous one plus six, so we can write this as:

Aₙ = Aₙ₋₁ + 2

(ii) . Then the next number in the sequence will be equal to the previous number plus 1, this is:

7 + 2 = 9

9 + 2 = 11

The next numbers in the sequence is 9 , 11

(iii) . The position-to-term rule is the general one.

Here we need to know that, the first term, A₁ = 2

Then, the \(n^{th}\) term will be A₁ plus (n - 1) times 1.

Then the rule is:

Aₙ = A₁ + (n - 1)*1

Replacing A₁ by its value, the rule becomes:

Aₙ = 2 + (n - 1)*2

(iv) . We can assume that this is an arithmetic sequence, this is, the difference between any two consecutive terms is always the same, D.

3 - 1 = 2

5 - 3 = 2

7 - 5 = 2

So we can conclude that this is an arithmetic sequence, and the difference between any two consecutive terms is always 2.

Hence, Consecutive rule is works for the first three terms.

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Answer:

104v

Step-by-step explanation:

The area to determine 142.5  material she will need to create the kite.

Given that

A kite with two top triangles with height = 5 inches

a base = 7.5 inches

The bottom two triangles share the base but have a height = 14 inches

area of sum of all triangle's area

area = b×h /2

A1 = 7.5 × 5 /2

   = 18.75

the other top triangle has the same area so A1+A2 = 18.75 × 2 = 37.5

A3 = 7.5 ×14/2

     = 52.5

the other top triangle has the same area so A3+A4 = 52.5 × 2 = 105

The area of kite A1 + A2 +A3 +A4 = 37.5 +105 = 142.5

The area to determine 142.5  material she will need to create the kite.

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Answer:

okkkkkkkkkkkkkkkkkkkkkkkkkkk

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Sum of angles of a pentagon is ~ 540°

Therefore,

Value of x = 95°

Answer:

Step-by-step explanation:

gradient = 5 = [k-(-1)]/[6-2]

[k+1]/4 = 5

k+1=20

k=19

The value of k in the line that passes through the points A(2, -1) and (6, k) with a gradient of 5 is found to be 19 by using the formula for gradient and solving the resulting equation for k.

To find the value of k in the line that passes through the points A(2, -1) and (6, k) with a gradient of 5, we'll use the formula for gradient, which is (y2 - y1) / (x2 - x1).

The given points can be substituted into the formula as follows: The gradient (m) is 5. The point A(2, -1) will be x1 and y1, and point B(6, k) will be x2 and y2. Now, we set up the formula as follows: 5 = (k - (-1)) / (6 - 2).

By simplifying, the equation becomes 5 = (k + 1) / 4. To find the value of k, we just need to solve this equation for k, which is done by multiplying both sides of the equation by 4 (to get rid of the denominator on the right side) and then subtracting 1 from both sides to isolate k. So, the equation becomes: k = 5 * 4 - 1. After carrying out the multiplication and subtraction, we find that k = 20 - 1 = 19.

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Answer/Step-by-step explanation:

1. Perimeter of the building = sum of all the length of the outer borders surrounding the building = 1,718 ft

Thus:

4x - 6 + 2x + 3x + 2(3x + 4) + 3x + 2x + x + x + x + 2x + 4x - 6 + 2(3x + 4) + 4x - 6 + 3x = 1,718

Open the Parentheses

4x - 6 + 2x + 3x + 6x + 8 + 3x + 2x + x + x + x + 2x + 4x - 6 + 6x + 8 + 4x - 6 + 3x = 1,718

Combine like terms

42x - 2 = 1,718

42x = 1,718 + 2

42x = 1,720

x ≈ 41

2. Missing perimeter of Building = 2x + 2x + 4x - 6

Simplify

= 8x - 6

Plug in the value of x

= 8(41) - 6

= 322 ft

3. Area of English Building = length * width

= (4x - 6 + 2x)(3x)

Simplify

= (6x - 6)(3x)

Plug in the value of x

= (6(41) - 6)(3(41))

= (246 - 6)(123)

= (240)(123)

= 29,520 ft²

Answer:

x + 5 = 5×

7x - 5 = 2x

5x + 2x + x = 180

8× = 180

8 8

x = 22.5

Given the dartboard of diameter \(20in\), divided into 20 congruent sectors,

The area of a circle is given by the formula

\(A=\pi r^2\)

A sector of a circle is a fraction of a circle. The fraction is given by \(\frac{\theta}{360^\circ}\). Where \(\theta\) is the angle subtended by the sector at the center of the circle.

The formula for computing the area of a sector, given the angle at the center is

\(A_s=\dfrac{\theta}{360^\circ}\times \pi r^2\)

We given a circle (the dartboard) with diameter of \(20in\), divided into 20 equal(or, congruent) sectors

To find the central angle, divide \(360^\circ\) by the number of sectors. Let \(\alpha\) denote the central angle, then

\(\alpha=\dfrac{360^\circ}{20}\\\\\alpha=18^\circ\)

The fraction of the circle that one sector takes up is found by dividing the angle a sector takes up by \(360^\circ\). The angle has already been computed in Part I (the central angle, \(\alpha\)). The fraction is

\(f=\dfrac{\alpha}{360^\circ}\\\\f=\dfrac{18^\circ}{360^\circ}=\dfrac{1}{20}\)

The area of one sector can be gotten by multiplying the fraction gotten from Part II, with the area formula. That is

\(A_s=f\times \pi r^2\\=\dfrac{1}{20}\times3.14\times\left(\dfrac{20}{2}\right)^2\\\\=\dfrac{1}{20}\times3.14\times10^2=15.7in^2\)

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After answering the presented question, we can conclude that The equation difference in the amounts they pay is: $21.6 - 16.2 = 5.4$ \($\boxed{5.40}$\) dollars.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

The amount Dave pays for the baseball is:

$15 + 0.08(15) = 15 + 1.2 = 16.2$

The amount Mel pays for the football is:

$20 + 0.08(20) = 20 + 1.6 = 21.6$

The difference in the amounts they pay is:

$21.6 - 16.2 = 5.4$

\($\boxed{5.40}$\) dollars.

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The sum of the values of x where the vertical asymptotes of f/g are located is -2+6+(-3)=1.

The vertical asymptotes of a rational function occur at the values of x that make the denominator equal to zero. Thus, we need to find the values of x that make either 2x^2-2x-24 or 3x+9 equal to zero, since these are the denominators of f(x) and g(x), respectively.

The quadratic equation 2x^2-2x-24=0 can be factored as 2(x+2)(x-6)=0, so the values of x that make f(x) undefined (i.e. the vertical asymptotes of f/g) are x=-2 and x=6.

The linear equation 3x+9=0 can be solved to give x=-3, which is the value of x that makes g(x) undefined.

Thus, the sum of the values of x where the vertical asymptotes of f/g are located is -2+6+(-3)=1.

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Based on the constructed difference table, the next term of this sequence 6, −2, −3, 7, 32, 76, . . . is 143.

In Mathematics, a sequence can be defined as a series of real and natural numbers in which each term or list of elements are ordered in a particular order and repetitions are allowed.

In Mathematics, a difference table can be defined as a type of table that is constructed by subtracting adjacent elements (entries) in a sequence, and then repeating the process with next those elements (entries).

Number            Difference from previous             Difference of differences

6

-2                               -8                                          

-3                               -1                                                7            

7                                 10                                              11            4

32                               25                                             15            4

76                              44                                               19            4

143                            67                                                23           4

First column: -2 - 6 = -8; -3 - (-2) = 1; ....... 143 - 76 = 67.

Second column: -1 - (-8) = 7; 10 - (-1) = 11; .... 67 - 44 = 23.

Third column: 11 - 7 = 4; 15 - 11 = 4 .... 23 - 19 = 4.

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Answer:

ΔCFG is an isosceles triangle.

Step-by-step explanation:

From the picture attached,

From ΔABF and ΔEDG,

Conditions for ΔABF and ΔEDG by SSS property of congruence,

1). AB ≅ DE [Given]

2). (BC + CF) = (DF + CG)

CF = CG [Given → BC = DF]

3). FA ≅ EG

(AG + GF) ≅ (EF + GF)

AG ≅ EF

Since, two sides of ΔCFG are equal in measure

ΔCFG is an isosceles triangle.

This can be determined by property of congruency. Hence, \(\bold{2^{nd}}\)option i.e. ΔCFG is an isosceles triangle is most appropriate.

Given :

From figure ΔABF and ΔEDG  are congruence by SSS property.

Proof:

From ΔABF and ΔEDG in figure,

Conditions for ΔABF and ΔEDG by SSS property of congruence,

1). AB ≅ DE [Given]

   (BC + CF) = (DC + CG)

2). BF≅DG

     CF = CG [Given → BC = CD]

3). FA ≅ EG

     (AG + GF) ≅ (EF + GF)

    AG ≅ EF

Therefore, two sides of ΔCFG are equal in measure.

Thus,ΔCFG is an isosceles triangle.

Hence, \(\bold{2^{nd}}\) option i.e. ΔCFG is an isosceles triangle is most appropriate.

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Given:

\(h(n)=-91\cdot\left(-\dfrac{1}{7}\right)^{\large{\,n-1}}\)

To find:

The recursive formula.

Solution:

We have,

\(h(n)=-91\cdot\left(-\dfrac{1}{7}\right)^{\large{\,n-1}}\)

It is in the form of explicate formula of a GP, .i.e., \(a_n=ar^{n-1}\).

Here, \(a=-91\) and \(r=-\dfrac{1}{7}\).

The recursive formula of a GP is

\(a_n=a_{n-1}\times r\)

Using this the recursive formula for given problem is

\(h(n)=h(n-1)\times (-\dfrac{1}{7})\)

Therefore, the required recursive formula is \(h(n)=h(n-1)\times (-\dfrac{1}{7})\).

The formula that can be used to represent this function is N*L^2 = k

The number of animal species, N, is inversely proportional to the square of the body length, L. Therefore, the formula representing the function would be:

N = k/L^2

Where k is the proportionality constant. It represents the relationship between N and L^2, and it is a constant value.

The above formula can also be written as

N*L^2 = k

It means that the product of N and L^2 is constant.

It can be derived by assuming that there is some proportionality constant k such that N=k/L^2 and then testing this relationship against data on animal species and body lengths.

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