K(x) = 4x -2; Find (3)
A) 18
B) -6
D) 6
E) -14
C) 10

\(1 \dfrac 24 +2 \dfrac 14\\\\=1 + \dfrac 24+ 2 + \dfrac 14\\\\=3 + \dfrac 34\\\\=3 \dfrac 34\)

Step-by-step explanation:

To calculate the annual interest, we need to use the formula:

Annual Interest = (Face Value of Bond) x (Annual Coupon Rate)

where the face value of the bond is $2000 and the annual coupon rate is 4.0%.

However, we need to first convert the bond's quoted price of 105 points to its dollar value. Since one point is equal to 1% of the face value, 105 points is equal to 105% of the face value:

Dollar Value = (Quoted Price / 100) x Face Value

Dollar Value = (105 / 100) x $2000

Dollar Value = $2100

Now we can calculate the annual interest:

Annual Interest = $2000 x 4.0%

Annual Interest = $80

Therefore, the annual interest you will receive on the bond is $80.

Answer:The GCF for the numerical part is 2 .

Step-by-step explanation:

I think. If its wrong I’m sorry but I hope it help<3

The relationship that represents a function with a greater rate of change than the function graphed is given as follows:

A. y = 4x - 3.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b.

The slope represents the average rate of change of a linear function.

From the graph, when x increases by one, y decreases by two, hence the slope m is given as follows:

m = -2.

For function A, the function is defined as follows:

y = 4x + 3.

Hence the rate of change is given as follows:

m = 4, which is greater than -2.

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Answer:

5.5

Step-by-step explanation:

B is the midpoint of AC, D is the midpoint of CE

This means that CE = 1/2 AE

CD = 1/2 ( 11)

CD = 5.5

Answer:

86 m

Step-by-step explanation:

The expression factoring out the greatest common factor is  (3pf - 21p²)(f + 2).

We have the expression as

3pf² - 21p²f + 6pf - 42p²

Now, factorising the expression as

= 3pf² + 6pf - 21p²f - 42p²

= 3pf(f +2) - 21p²(f + 2)

= (3pf - 21p²)(f +2)

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The number of cuts from a 20% length is 2 and the number of 20' angle are needed in order to have the 100 pieces is 5

From the information given;

The bricklayer needs = 100 pieces of angle

The number of cuts = 54

Length of cuts = 3/ 16'' Inches

a. To determine the number of cuts form a 20% length, we have to multiply the length by the percentage and by the initial number of cuts

= 20/ 100 × 3/ 16 × 54

= 0. 2 × 0. 1875 × 54

= 2. 0

The number of cuts would be 2

b. To determine the number of pieces of 20' angle to have 100 pieces we would divide the initial number of pieces by the angle

= 100/ 20

= 5 pieces

The number of pieces of 20' angle is 5

Thus, the number of cuts from a 20% length is 2 and the number of 20' angle are needed in order to have the 100 pieces is 5

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Answer:

16×14 = -9×(-8) = -13×7

Falso

Step-by-step explanation:

Answer:

i think its 10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

6 × 6 + 6 / 6

36 + 6 / 6

42 / 6

7

The nearest 10 of 7 is 10.

Answer: D

Step-by-step explanation:

The answer is D, as seen on the graph, the Y-Intercept is at Y = 4, and the gradient is 1, so according to the equation y = mx + c,

"m" must equal 1, and "c" must equal 4, so the equation needs to be:

y = x + 4.

In Option D, the equation can be rearranged to 2y = 2x + 8, dividing both the LHS and RHS by 2, we get y = x + 4.

This type of question can be tough at first, however it's just a matter of practice, keep practicing, keep working hard, and you'll be an expert in no time!

Step-by-step explanation:

4 is added to each number

A/q ,

5x+4/6x+4 = 7/8

Now , cross multiply

7/6x + 4) = 8 (5x + 4 )

42x + 28 = 40x + 32

42x - 40x = 32 - 28

2x = 4

x= 4/2

x= 2

answer :

5x = 10

6x = 12

Step-by-step explanation:

hope it helps.u........

Volume of the cylinder =  6838.92 cubic inches

We have to given that;

Sam needs to fill a cylindrical container with punch.

And, The container has a radius of 11 inches and a height of 18 inches.

Since, To determine the amount of cat litter the cylinder can hold, we need to calculate the volume of the cylinder.

Volume of a cylinder = πr²h

Where,

r=radius

h= height

Then,

π=22/7 or 3.14 (constant value)

r=11 inches

h=18 inches

Volume of a cylinder is,

= 3.14 × (11)² × 18

= 6838.92 cubic inches

Hence, Volume of the cylinder =  6838.92 cubic inches

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Answer:

(2,1)

Step-by-step explanation:

sin^4x as a product of two squared terms is sin^2(x) * sin^2(x)

The sine expression is given as

sin^4x

The above means

sin x raised to the power of 4

This in other words, the expression is represented as

(sin(x))^4

Express 4 as 2 + 2

(sin(x))^(2 + 2)

Apply the law of indices

(sin(x))^2 * (sin(x))^2

This gives

sin^2(x) * sin^2(x)

Hence, sin^4x as a product of two squared terms is sin^2(x) * sin^2(x)

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Answer:

The coordinates of point P are (3,0)

Step-by-step explanation:

Here, we simply want to find the coordinates of point P that divides the segment AB in the ratio 2 to 1

We can use the internal division formula for this;

Mathematically, that would be ;

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

From the question;

m = 2 , n = 1

x1 = -3 , y1 = -2

x2 = 6 , y2 = 1

Substituting these values in the equation;

(x , y) = 2(6) + 1(-3)/2 + 1) , 2(1) + 1(-2)/)2 + 1)

(x ,y ) = (12-3)/3 , (2-2)/3

(x , y) = 9/3,0/3

(x ,y) = (3,0)

From the question, we are provided with the following information:

The required parameter we are to find is the Amount, A.

Amount of a compound interest is given by the formula:

Thus, we have:

Hence, the account will be worth $22,174.76 in 32 months

The linear equation that shows how the wind power would need to grow to make this goal is y = 25x + 15

From the question, we have the following parameters that can be used in our computation:

(x, y) = (0, 15) and (5, 90)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 15

Using the other point, we have

5m + 15 = 90

So, we have

5m = 75

Divide by 5

m = 25

So, the equation becomes

y = 25x + 15

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Complete question

Using the two data points from Exercises 1 and 2, write a linear equation that shows how the wind power would need to grow to make this goal. Use years for the independent variable and terawatt hours for the dependent variable. Let year 0 represent year 2012, (0, 15) and (5, 90)

Answer:

You got your negatives messed up.  The answer was -5y-4x

Step-by-step explanation:

Expression: -8y + 5x + 3y -9x

Your objective: Simplify the expression

The First step, Combine like terms meaning -8y+3y and -9x+5x

Solve, -8y+3y

That would equal -5y

Next solve -9x + 5x

That would equal -4x

Write your expression in simplest form:

-5y-4x

What you did:

You combined like terms but didn't follow the negative rules

Remember: Positive and Negative =  Negative

                   Negative and Negative = Positive

        For example -8y + 3y

You chose to add -8 and 3 which you got -11

What you were supposed to do was to subtract.

A helpful trick: Since they are like terms you could rearrange the questions like this 3y-8y+5x-9x, You can see that you have to do subtraction left to right

3y-8y= -5y

5x-9x= -4x

Solution: -5x-4x

Explanation

We are given the following:

We are required to determine the perimeter of the rectangular sheet.

This is achieved thus:

We know that the perimeter of a rectangle is given as:

Therefore, we have:

Hence, the answer is:

Answer:

The answer is D. Cone

Step-by-step explanation:

Answer:

The two angles that are directly across the intersection point from each other are called vertical angles. Vertical angles are always congruent.

Step-by-step explanation:

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Vertical angles are two angles that are opposite of each other when two intersect. These angles are congruent.

Vertical angles are angles opposite to each other where two lines cross.

When two lines intersect, they naturally form two pairs of vertical angles. Vertical angles share the same vertex or corner, and are opposite each other.

These pair of angles are congruent which means they have the same angle measure.

Hence, Vertical angles are two angles that are opposite of each other when two intersect. These angles are congruent.

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Answer:The answer is 20000

Step-by-step explanation:

Using a system of equations, the numbers in the village are given as follows:

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given as follows:

Combined, there are 198 ​Asians, Africans,​ Europeans, and Americans in a village, hence:

x + y + z + w = 198.

The number of Asians exceeds the number of Africans and Europeans by 84, hence:

x - (y + z) = 84

y + z = x - 84.

The difference between the number of Europeans and Americans is 6, hence:

z - w = 6.

If the number of Africans is​ doubled, their population exceeds the number of Europeans and Americans by 26, hence:

2y = z + w + 26.

2y - z - w = 26.

Hence the system is given by:

Using a calculator, the solution is given by:

x = 134, y = 30, z = 20, w = 14.

Hence the numbers in the village are given as follows:

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Answer:

9450

Step-by-step explanation:

3/4(12600)=X

12600*.75

9450

three fourths of last month's is three forths of 12600 therefore giving you the equation 3/4(12600)=x

The length of side X in simple radical form with a rational denominator is 25/√3.

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):

Adjacent side = 5/√3

Hypotenuse, x = 5 × 5/√3

Hypotenuse, x = 25/√3.

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Missing information:

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

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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The value of p when q is 2 is 1

Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value.

This means that has x increases y will decrease and vice versa.

If p is inversely proportional to q , then p = kq

when p = 2, q = 4

2 = k4

k = 2/4

k = 1/2

When q = 2

p = 1/2 × 2

p = 1

Therefore the value of p is 1

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