true or false15. Complex roots of polynomials with real coefficients always occur as conjugate pairs

Answer:

she should use 2 cups of peanut butter

Step-by-step explanation:

to know the answer to that

use this equation (pb is peanut butter &o is oil)

1cup of pb=1/2 cup of o

?=1 cup of o

1×1÷1/2= 1×1×2/1=2co cups of pb

73 division 84, 649 would give 8. 64 × 10^-4

In order to determine the value of the division, we have

= \(\frac{73}{84649}\)

Using the calculator, put the values in

We would have

= 8. 64 × 10^-4

Thus, 73 division 84, 649 would give 8. 64 × 10^-4

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The given expression (3p)³ without exponents is 27×p×p×p.

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

The given exponential expression is (3p)³.

Here, (3p)³=3p×3p×3p

= 27×p×p×p

Therefore, the given expression (3p)³ without exponents is 27×p×p×p.

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The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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8. 100

9. 41

10. 6

11. 6 are the answers

If it's adding to the 4,900 in the bank just add the numbers to 4,900.

After 4 years. 1,176.

Year 1: 294

Year 2: 588

Year 3: 882

Year 4: 1176

Year 5: 1470

Year 6: 1764

length = 82 cm

width = 16 cm

Step-by-step explanation:

x = length

y = width

the perimeter of a rectangle is the lengths of all sides added together. so, 2×length plus 2× width

x = 5y + 2

196 = 2x + 2y

let's use the first equation as substitute in the second equation.

196 = 2×(5y + 2) + 2y = 10y + 4 + 2y = 12y + 4

12y = 192

y = 16 cm

x = 5y + 2 = 5×16 + 2 = 80 + 2 = 82 cm

The required  f(x) is positive on the intervals (-2,1) and (1.1547,3).

A function in mathematics from a set X to a set Y assigns precisely one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two variable quantities.

To determine the intervals on which the function is positive on the interval (-3,3), we need to find the x-values for which f(x) is greater than zero (i.e., positive).

First, we can find the critical points of the function by finding where f(x) = 0:

\($\begin{align*}f(x) &= 2x^3 -7x +4 \0 &= 2x^3 -7x +4 \&= (x-1)(2x^2+2x-4) \&= (x-1)(2(x-1)(x+2)) \\end{align*}\)

So the critical points are x = 1 and x = -2.

Next, we can test the sign of f(x) on different intervals. Since f(x) is a polynomial function and is continuous on the interval (-3,3), we only need to test the sign of f(x) at the critical points and at the endpoints of the interval:

f(-3) &= 2(-3)³ -7(-3) +4 = -47 <0

f(-2) &= 2(-2)³ -7(-2) +4 = 0

f(1) &= 2(1)³ -7(1) +4 = -1 < 0

f(3) &= 2(3)³ -7(3) +4 = 47 > 0

Therefore, f(x) is positive on the intervals (-2,1) and (1.1547,3), where the boundaries of the intervals are rounded to four decimals. Therefore, the answer is:

\($$\boxed{(-2,1) \text{ and } (1.1547,3)}$$\)

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The quantity of ribbon that Ali started with was 16/21 feet, based on the mathematical operation of addition.

The basic mathematical operations include addition, subtraction, division, and multiplication.

In the addition operation, two or more addends are added to obtain a result called the sum or total using the equation symbol (=) and the addition operand (+).

The quantity of ribbon attached to the rearview mirror = 2/7

The remaining quantity of ribbon after the attachment = 10/21

The quantity of ribbon Ali started with = 16/21 (2/7 + 10/21)

Thus, using the addition operation, we can conclude that Ali started with 16/21 feet of ribbon.

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The expression for 7 less than the product of a number and 8, increased by a number multiplied by 2 is 8n-7 +2n

Given :

7 less than the product of a number and 8, increased by a number multiplied by 2

We need to write the given statement in an expression

Lets 'n' be the unknown number

the product of a number and 8

Product means multiplication

the product of a number and 8 mean n times 8 that is 8n

7 less than the product of a number and 8, subtract 7 from 8n

Expression becomes 8n-7

This is increased by a number multiplied by 2

number multiplied by 2 is 2n

So the final expression for the given statement is 8n-7 +2n

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we know that

If V is the midpoint of SU

then

SV=VU

substitute the given values

2x+18=8x-6

solve for x

8x-2x=18+6

6x=24

Find SV

SV=2x+18

SV=2(4)+18

so

and

SU=2SV

SU=2(26)

Answer:

P(X< 40) = 0.014367

Step-by-step explanation:

From the given information:

Suppose X denotes the strength of each steel strand & X follows the lognormal distribution with a mean value \(\mu_x\) = 50 kips & coefficient of variation CV = 10%

Using the formula for the coefficient of variation CV

\(cv = \dfrac{\sigma_x}{\mu_x}\)

\(0.10 = \dfrac{\sigma_x}{50}\)

\(\sigma_x = 50 (0.10)\)

\(\sigma_x = 5\)

By applying the mean and mean & variance from the lognormal distribution, we have:

\(\dfrac{\sigma_x^2}{\mu_x}= \dfrac{\{exp(2 \mu + \sigma^2)\} (exp(\sigma^2))-1}{exp( \mu + \dfrac{\sigma^2}{2} \}}\)

\(\dfrac{5^2}{50}= \dfrac{\{exp(2( \mu + \dfrac{\sigma^2}{2})) \} (exp(\sigma^2))-1}{exp( \mu + \dfrac{\sigma^2}{2} \}}\)

\(\dfrac{5^2}{50}= exp \{ 2 ( \mu + \dfrac{\sigma^2}{2}) - ( \mu + \dfrac{\sigma^2}{2}) \} \{ ( exp ( \sigma^2))-1 \}\)

\(\dfrac{5^2}{50}=exp \{(\mu + \dfrac{\sigma^2}{2}) \} {(exp (\sigma^2))-1 \}\)

\(\dfrac{5^2}{50}=50 \{ (exp (\sigma^2 )) -1 \}\)

\(\dfrac{25}{50 \times 50 }= ( exp (\sigma^2 )) -1\)

\(exp( \sigma^2) = \dfrac{25}{50 \times 50}+ 1\)

\(exp( \sigma^2) = (\dfrac{25+2500}{2500 })\)

\(exp( \sigma^2) =1.01\)

\(\sigma^2 = In (1.01)\)

\(\mathbf {\sigma^2 = 0.00995}\)

However, the next process is to replace the value of \(\sigma^2\) into the logman distributions mean.

\(\mu_x = exp ( \mu + \dfrac{\sigma^2}{2})\)

\(50 = exp ( \mu + \dfrac{\sigma^2}{2})\)

\(50 = exp ( \mu + \dfrac{0.00995}{2})\)

\(In(50) = ( \mu + \dfrac{0.00995}{2})\)

3.912023 = μ +0.004975

μ = 3.907048

Now, we know our mean to be  3.907048 and the variance to be 0.00995.

Therefore, the probability that the weakest strand will have a strength of fewer than 40 kips can be computed as follows:

P(X< 40) = P(In(x) < In(40))

\(P(X<40) = P(\dfrac{In(x) - \mu}{\sigma} < \dfrac{In(40) - \mu}{\sigma})\)

since;

\(\sigma^2 = 0.00995 \\ \\ \sigma = \sqrt{0.00995} \\ \\ \sigma = 0.0998\)

\(P(X<40) = P(Z < \dfrac{In(40) - 3.907048}{0.0998})\)

P(X< 40) = P(Z < -2.18712)

Using the Excel formula =(=NORMDIST (-2.18712)

P(X< 40) = 0.014367

Answer:  A  129

Step-by-step explanation:

Because the 2 chords are the same (lines in the circle), the 2 arcs are the same  create an equation that makes them equal

3x+24 = 4x -11             >bring x to one side by subtracting both sides by 3x

24 = x -11                     > add both sides by 11

35 = x

Now that we have solved for x you need to plug that back into the equation for BC

BC= 4x-11

BC = 4(35) - 11

BC =  140 - 11

BC = 129                   >A

Answer:

7.5 or 15/2

Step-by-step explanation :

Answer:

1

Step-by-step explanation:

becouse is the best awser on there

\(\\ \sf\longmapsto \dfrac{x}{3}+9>14\)

\(\\ \sf\longmapsto \dfrac{x}{3}>5\)

\(\\ \sf\longmapsto x>3(5)\)

\(\\ \sf\longmapsto x>15\)

Answer:

the answer is x>15

Step-by-step explanation:

The coefficient of the second term, 6x⁴, is 6.

The terms of the polynomial are:

-4y⁵, 6x⁴, 9w³, -4w, -1

The coefficient of the second term, which is 6x⁴, we look at the number in front of the variable term.

The coefficient is 6.

Therefore, the list of terms is:

-4y⁵, 6x⁴, 9w³, -4w, -1

Each term represents a separate component of the polynomial, where the variable is raised to a certain power and multiplied by its coefficient.

The coefficients indicate the scalar value by which each term is multiplied.

The polynomial's terms are -4y5, 6x4, 9w3, -4w, and -1.

Looking at the number in front of the variable term, we can determine the second term's coefficient, which is 6x4.

There is a 6 coefficient.

As a result, the terms are as follows: -4y5, 6x4, 9w3, -4w, and -1.

Each term represents a different part of the polynomial, where the variable is multiplied by its coefficient and raised to a given power.

The scalar value by which each phrase is multiplied is shown by the coefficients.

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Answer:

7168

Step-by-step explanation:

\(y=-6x+12\\\\\text{When}~ x = -1\\\\y=-6(-1)+12 = 6+12 = 18\)

Answer:

Ms. Sunshine needs to make 62.5 cookies.

Step-by-step explanation:

25 * 2.5 = 62.5

Answer:

Step-by-step explanation: The Correct answer is D .

50 + 40 = 90 Making It complementry angle  

(Hint  : Complementry means 90 degree)

Answer:

t is the independent variable of time

Step-by-step explanation:

t is the independent variable of time

Answer:

NO. It does not represent y is a function of x.

Step-by-step explanation:

For a given table of values to be considered as representing a function, every domain value (x-value) must have exactly one range value (y-value). This implies that a function cannot have two y-values assigned it mapped to the same x-value.

Therefore, the table of values given does not represent a function because the x-value, 3.45 has two y-values, 1.72 and 3.36, assigned or mapped to it.

The final answer is (f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.

(f o g)(x):

To find (f o g)(x), we substitute g(x) into f(x):

(f o g)(x) = f(g(x))

Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:

(f o g)(x) = f(g(x)) = f(x^2 - 8)

Now we replace x in f(x^2 - 8) with x^2 - 8:

(f o g)(x) = (x^2 - 8)^2 + 8

Simplifying further:

(f o g)(x) = x^4 - 16x^2 + 64 + 8

(f o g)(x) = x^4 - 16x^2 + 72

Therefore, (f o g)(x) = x^4 - 16x^2 + 72.

(g o f)(x):

To find (g o f)(x), we substitute f(x) into g(x):

(g o f)(x) = g(f(x))

Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:

(g o f)(x) = g(f(x)) = g(x^2 + 8)

Now we replace x in g(x^2 + 8) with x^2 + 8:

(g o f)(x) = (x^2 + 8)^2 - 8

Simplifying further:

(g o f)(x) = x^4 + 16x^2 + 64 - 8

(g o f)(x) = x^4 + 16x^2 + 56

Therefore, (g o f)(x) = x^4 + 16x^2 + 56.

(f o g)(2):

To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:

(f o g)(2) = 2^4 - 16(2)^2 + 72

(f o g)(2) = 16 - 64 + 72

(f o g)(2) = 24

Therefore, (f o g)(2) = 24.

In summary:

(f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

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Answer:

Simplify = 7x/6 - 3/28

Reciprocal = 6x/7 - 28/3

Step-by-step explanation:

Add x to the top of the first fraction to combine them.

To find the reciprocal you flip the numbers. So the numerator is the bottom and the dominator is the top.

Step-by-step explanation

A. The current account balance is a deficit of 130

B. The financial account balance is a deficit of 70

C. The trade balance is a deficit of 50.

D. The net factor payments are a deficit of 30.

Balance of payments is the method by which countries measure all of the international monetary transactions within a certain period.

(a) The current account balance can be calculated as follows:

Current Account Balance = (Exports of goods + Service exports) - (Imports of goods + Service imports + Income payments to foreigners - Income receipts from abroad)

= (275 + 50) - (325 + 40 + 70 - 40)

= 325 - 455

= -130

So, the current account balance is a deficit of 130.

(b) The financial account balance can be calculated as follows:

Financial Account Balance = Increase in home country assets abroad - Increase in foreign assets in home country

= 350 - 420

= -70

So, the financial account balance is a deficit of 70.

(c) The trade balance can be calculated as follows:

Trade Balance = Exports of goods - Imports of goods

= 275 - 325

= -50

So, the trade balance is a deficit of 50.

(d) The net factor payments can be calculated as follows:

Net Factor Payments = Income receipts from abroad - Income payments to foreigners

= 40 - 70

= -30

So, the net factor payments are a deficit of 30.

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