Find the difference (6x3 + 3x4 + 2) - (7x" – 4).a. 10x4 + 6x3 + 6b. 13x3 + 3x4 + 6c. - 4x4 + 6x3 – 6d. --4x4 + 6x3 + 6

Answer:

$52.50

Step-by-step explanation:

C = 3.5t

C = 3.5 (15)

3.5 × 15 = 52.5

C = $52.50

Answer:

17 tkrnfuebdkrheejshdhfd

The total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.

To calculate the total value of the annuity in 16 years, we can use the formula for the future value of an annuity:

FV = P * ((1 + r)^n - 1) / r

Where:

FV is the future value of the annuity,

P is the yearly payment,

r is the interest rate per compounding period, and

n is the number of compounding periods.

In this case, the yearly payment (P) is $693, the interest rate (r) is 5.3% or 0.053, and the number of compounding periods (n) is 16.

Let's substitute these values into the formula and calculate the total value of the annuity:

FV = 693 * ((1 + 0.053)^16 - 1) / 0.053

FV = 693 * (1.053^16 - 1) / 0.053

Using a calculator, we can evaluate the expression inside the parentheses:

1.053^16 ≈ 1.9738

Substituting this value back into the formula:

FV = 693 * (1.9738 - 1) / 0.053

FV = 693 * 0.9738 / 0.053

FV ≈ 12739.62

Therefore, the total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.

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Answer:

\(\huge\boxed{\sf 38}\)

Step-by-step explanation:

= a³ + b (6 + c)

Put a = 2, b = 3 and c = 4

= (2)³ + 3 (6 + 4)

= 8 + 3(10)

= 8 + 30

\(\rule[225]{225}{2}\)

Answer:

Step-by-step explanation:

the requied answer is 38.

according to the question the value of a=2,b=3,c=4.

here,

to find the value of   a³ + b (6 + c)we have to do it in steps:

step 1: solve the bracket (6+4) =10.

step 2:  solve the value of a³ =8.

now put these values ,

=8+3(10)

=38.

Based on the inventory on hand, the lead time, and the standard deviation, the in-stock probability will be 96.56%

To find the in-stock probability, you first need to find the Z score as:

= On-hand inventory / Standard deviation x √(lead time + 1)

Solving gives:

= 5,050 / 800 x √(11 + 1)

= 5,050 / 2,771.28

= 1.82

With a Z score of 1.82, the probability according to the Z tables will be 96.56%

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Step-by-step explanation:

Given -

x

2

=

8

y

It is a parabola opening up.

The general form of the equation of a parabola opening up is -

x

2

=

4

a

y

Answer:

D

Step-by-step explanation:

Answer:

a. 1/3+3/5 =14/15

b. 11/12 - 5/6 =1/12

Step-by-step explanation:

The error in number 1 is the that the L.C.M of 3 and 5 is 15 and not 8.

In number 2, I think Jason didn't look for the L.C.M before he solved.

A proportional relationship is one in which the ratio of two variables gives a constant value.

In this case, the two variables are x and y, and the constant value is 8.

Therefore,

Make y the subject of the relationship,

Therefore, the co

The trigonometric equations has the following solutions: x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

In this problem we find the case of a trigonometric equation, whose solutions on the interval [0, 2π] must be found. This can be done by both algebra properties and trigonometric formulae. First, write the entire expression:

tan² x · sec² x + 2 · sec² x - tan² x = 2

Second, use trigonometric formulas to reduce the number of trigonometric functions:

tan² x · (tan² x + 1) + 2 · (tan² x + 1) - tan² x = 2

Third, expand the equation:

tan⁴ x + tan² x + 2 · tan² x + 2 - tan² x = 2

tan⁴ x + 2 · tan² x = 0

Fourth, factor the expression:

tan² x · (tan² x - 2) = 0

tan² x = 0 or tan² x = 2

tan x = 0 or tan x = ± √2

Fifth, determine the solutions to trigonometric equation:

x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

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Answer:

C

Step-by-step explanation:

It goes up one and over two and has a y-intercept of 3

Answer:

c pls give brainiest

Step-by-step explanation:

the y-intercept is 3

the slope is less than 1 so it must be c

Both prices of stock A and B will be the same after 5.45 hrs.

Linear Equation:

The equation which is used to solve for an unknown value is known as Linear Equation here we use a variable to represent the unknown value or number. Here the variables can be x, y, z, or a, b, c, etc.

Here we have  

The price of Stock A at 9 AM was $13.55.

The price has been increasing at the rate of $0.07 each hour.

At noon the price of Stock B was $14.30.

It begins to decrease at the rate of $0.15 each hour.

Let after x hours the stock prices are will be the same

After x hours the prices of  both stocks can be calculated as given below

For stock A  

The rate of increase per hour = $0.07

For x hours increased price = 13.55 + 0.07x    

For stock B

The rate of increase per hour = $ 0.15

Stock B started at noon i.e at 12

(Which means Stock started late for 4 hrs  by Stock A)    

Then the rate of decrease for (x-4)hrs = 14.30 - 0.15(x-4)    

As we assumed the price after x hours is the same

=> 13.55 + 0.07x = 14.30 - 0.15(x-3)    

=> 0.07x = 14.30 - 13.55 - 0.15x + 0.45

=> 0.07x = - 0.15x + 1.2  

=> 0.22x = 1.2  

=> x = 1.2/0.22 =  5.45

Both prices of stock A and B will be the same after 5.45 hrs.  

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Answer:

23

Step-by-step explanation:

Step 1:

3 - -5 (4)

Step 2:

3 - (-20)

Step 3:

3 + 20

Answer:

23

Hope This Helps :)

The possible values of a are 3 and -3.

We know that the coefficient of x⁷ in the given expression is 1215, the expression is:

\(x^3(ax + 3)^5\)

The term with x⁷ will be:

\(5*(3x^7*a^4) = (15a^4)*x^7\)

Then we need to solve the equation:

15a⁴ = 1215

a⁴ = 1215/15

a⁴ = 81

a = ⁴√81 = ± 3

These are the possible values of a.

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Answer:

22hrs

Step-by-step explanation:

hope it is well understood?

Answer: answer is 3

Step-by-step explanation: it is 3 because you do 1 d.p. plus a and b and you get 3

Answer: Significantly low.

Step-by-step explanation:

Ok, we know that out of 1700 randomly selected, only 4 of them are girls.

Then the frequency is:

p = 4/1700

Now, using the subjective judgement (meaning that it is based on the opinion only, there is no real math involved)

I can conclude that the number of girls is significantly low, meaning that out of 1700 births we have 4 girls, then the other 1694 must be boys.

The legs of the big triangle are 14 units and the legs of the small triangle are 7√2 units

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

The right triangles

The right triangles are special triangles with acute angles of 45 degrees

This means that the relationship between the legs and the hypotenuse of the triangles is

Hypotenuse = Leg√2

Leg = Hypotenuse/√2

Using the above as a guide, we have the following:

Leg = 14√2/√2

Leg = 14

i.e. the legs of the big triangle are 14 units

Leg = 14/√2

Leg = 7√2

i.e. the legs of the small triangle are 7√2 units

See attachment for the triangles

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Answer:

Step-by-step explanation:

Answer:

approximately 0.209

Step-by-step explanation:

We can solve this problem using the binomial probability formula.

The probability that a given cyclone will become a hurricane is 5.1/8.7 = 0.59.

Therefore, the probability that a given cyclone will not become a hurricane is 1 - 0.59 = 0.41.

The probability that three or more out of five cyclones will become hurricanes is equal to the sum of the probabilities of three, four, and five out of five cyclones becoming hurricanes.

Using the binomial probability formula, we can calculate this as:

(5C3)(0.59^3)(0.41^2) + (5C4)(0.59^4)(0.41) + (5C5)(0.59^5)

This simplifies to:

(10)(0.2197)(0.1681) + (5)(0.1607)(0.41) + (1)(0.0867)

Which is equal to approximately 0.209.

Therefore, the probability that at least three out of five cyclones will become hurricanes is approximately 0.209.

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

y = 2x - 19

Step-by-step explanation:

Given the following data;

Points (x, y) = (8, 3) and (9, 5)

Slope = 2

To find the equation of line;

y - y1 = m(x - x1)

Where;

(x1, x2) = (8, 9)

(y1, y2) = (3, 5)

Substituting the value into the equation above;

y - 3 = 2(x - 8)

y - 3 = 2x - 16

y = 2x - 16 + 3

y = 2x - 19

Answer:

x - intercept: ( - 2, 0 )

y - intercept: ( 0, -3 )

Step-by-step explanation:

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given details

Answer:

The possible number of CDs she could buy is 1, 2, and 3.

Step-by-step explanation:

First, you have to make an equation to solve to find the answer(s):

1.) 80 - (18 · 1) ≥ 20

80 - 18 · 1 ≥ 20

80 - 18 ≥ 20

62 ≥ 20

Since 62 ≥ 20 is always true, there are infinitely many solutions.

2.) 80 - (18 · 2) ≥ 20

80 - 18 · 2 ≥ 20

80 - 36 ≥ 20

44 ≥ 20

Since 44 ≥ 20 is always true, there are infinitely many solutions.

3.) 80 - (18 · 3) ≥ 20

80 - 18 · 3 ≥ 20

80 - 54 ≥ 20

26 ≥ 20

Since 26 ≥ 20 is always true, there are infinitely many solutions.

4.) 80 - (18 · 4) ≥ 20

80 - 18 · 4 ≥ 20

80 - 72 ≥ 20

8 ≥ 20

Since 8 ≥ 20 is false, there is no solution.

5.) 80 - (18 · 5) ≥ 20

80 - 18 · 5 ≥ 20

80 - 90 ≥ 20

- 10 ≥ 20

Since - 10 ≥ 20 is false, there is no solution.

Answer:

1,2,3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Put what you are given in the form of

y = mx + b

If both equations have the same m, the lines are parallel. For example

y = 4x + 10

y = 4x + 20

These two lines are parallel.

However

y = 8x + 40

y = 4x + 10   are not parallel even though it looks like m could be made the same by taking out 4 in each. Check them out on the graph below.

Step-by-step explanation:

The circumference of a WHOLE circle = pi * d

   you have 1/2 of this  and d = 10 ft

     so   1/2 pi * 10      PLUS the two straight sides + 8+6

       1/2 pi * 10   + 8 + 6

         5 pi + 8 + 6

        5 * 3.14   + 14 = 29.7 ft

The second coordinate of the given first coordinate is determined as;

f(0) = 1 and (1) = 0.7.

The second coordinate of the given first coordinate is calculated by applying the following method as follows;

The given function;

F(x) = 0.7ˣ

The value of f(0) is calculated as;

f (0) = 0.7⁰  = 1

The value of f(1) is calculated as;.

f (1) = 0.7¹ = 0.7

Thus, the second coordinate of the given first coordinate is determined by applying the appropriate substitute of the function as shown above.

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Answer:

24

Step-by-step explanation: