please help meee with this

Answer:

You are correct

Step-by-step explanation:

x - 8 < 23

Add 8 to both sides

x - 8 + 8 < 23 + 8

Simplify

x < 31

Yes, you are correct.

Answer:

$96

Step-by-step explanation:

4/50=.08 which is sales tax rate

1200X.08=$96 sales tax

The polynomial with complex coefficients of the smallest possible degree is found as: P(x) = x⁴ + 17x² + 16.

The given zeroes for the polynomial is-

4i and 1i.

From the conjugate zeroes theorem, for the polynomial having eal coefficients.

Then, -4i and -i is also the zeroes of the polynomial.

Thus, forming the polynomial P(x).

P(x) = (x + i)(x - i).(x + 4i)(x - 4i)

Using the property.

P(x) = (x² - i²).(x² - (4i)²)

We know that, i² = -1

P(x) = (x² + 1).(x² + 16)

Simplifying the equation;

P(x) = x⁴ + 17x² + 16

In which the coefficient of the highest power (x⁴) is 1.

Thus, the polynomial with complex coefficients of the smallest possible degree is found as: P(x) = x⁴ + 17x² + 16.

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Answer:

The answer is A because you can actually graph it and get A as the correct answer.

Step-by-step explanation:

I actually took this before, and I put A as the answer. It was correct.

Answer:c, the answer is c

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

(36 - 2x) * (17-2x) = 700      I think, given the info

4x^2 - 106x + 612 = 700     expanded....

The solution is

a) Yes , The result of A + B is also a polynomial

b) Yes , The result of A - B is also a polynomial

c) Yes , The result of A x B is also a polynomial

What is a polynomial?

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients ( constants who are in multiplication with those variables ) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first polynomial be A

The value of A is  3x²( x - 1 )

Let the second polynomial be B

The value of B is  -3x³ + 4x² -2x + 1

On simplifying the equations , we get

A = 3x³ - 3x²

B = -3x³ + 4x² -2x + 1

a)

Let the new polynomial be C

where the value of C = A + B

On substituting the values of A and B in the equation , we get

C = 3x³ - 3x² + ( -3x³ + 4x² -2x + 1 )

C = 3x³ - 3x³ - 3x² + 4x² - 2x + 1

C = x² - 2x + 1

So , the value of C is also a polynomial

b)

Let the new polynomial be C

where the value of C = A - B

On substituting the values of A and B in the equation , we get

C = 3x³ - 3x² - ( -3x³ + 4x² -2x + 1 )

C = 3x³ + 3x³ - 3x² - 4x² + 2x - 1

C = 6x³ - 7x² + 2x - 1

So , the value of C is also a polynomial

c)

Let the new polynomial be C

where the value of C = A x B

On substituting the values of A and B in the equation , we get

C = ( 3x³ - 3x² ) ( -3x³ + 4x² -2x + 1 )

C = -9x⁶ + 12x⁵ - 6x⁴ + 3x³ + 9x^5 - 12x⁴ + 6x³ - 3x²

C = - 9x⁶ + 19x⁵ - 18x⁴ + 9x³ - 3x²

So , the value of C is also a polynomial

Hence , the operations of addition, subtraction, multiplication of polynomials will result in a polynomial

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Answer:

an equation to determine how many pairs of shoes, p, Roger must sell in a day to meet his daily earnings goal is:

f (p) = 4.50p + 40

the number of pairs of shoes he must sell to meet his daily earnings goal is:

p = 16 (pair of shoes)

The values of x and y are 20 and 12.

The values of x and y are -3 and 2.

We have,

In a parallelogram,

- Opposite sides are congruent:

The opposite sides of a parallelogram have equal lengths.

- Opposite angles are congruent:

The opposite angles of a parallelogram have equal

Now,

a)

Opposite angles are congruent:

So,

5x + 29 = 7x - 11

29 + 11 = 7x - 5x

40 = 2x

2x = 40

x = 40/2

x = 20

And,

3y + 15 = 5y - 9

15 + 9 = 5y - 3y

24 = 2y

y = 24/2

y = 12

b)

Opposite sides are congruent:

So,

-6x = -4x + 6

-6x + 4x = 6

-2x = 6

x = -3

And,

7y + 3 = 12y - 7

12y - 7y = 3 + 7

5y = 10

y = 2

Thus,

The values of x and y are 20 and 12.

The values of x and y are -3 and 2.

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Answer:

the interest rate. : 5%

[(1365-1300)/1300]*100 = 5%

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can use the method of undetermined coefficients to solve this differential equation. First, we will need to find the solution to the homogeneous equation and the particular solution to the non-homogeneous equation.

For the homogeneous equation, we will use the form y"+ky=0, where k is a constant. We can find the solutions to this equation by letting y=e^mx,

y"=m^2e^mx -> (m^2)e^mx+k*e^mx=0, therefore (m^2+k)e^mx=0

(m^2+k) should equal 0 for the equation to have a non-trivial solution. Therefore, m=±i√(k), and the general solution to the homogenous equation is y=A*e^i√(k)x+Be^-i√(k)*x.

Now, we need to find the particular solution to the non-homogeneous equation. We can use the method of undetermined coefficients to find the particular solution. We will let yp=a0+a1x+a2x^2+.... As the derivative of a sum of functions is the sum of the derivatives, we get

yp″=a1+2a2x....yp‴=2a2+3a3x+....

Substituting the general solution into the non-homogeneous equation, we get

a0+a1x+a2x^2+...+2a2x+3a3x^2+...=Y(4)

So, the coefficient of each term in the expansion of the left hand side should equal the coefficient of each term in the expansion of the right hand side. Since there is only one term on the right hand side, we get the recurrence relation:

a(n+1)=Y(n-2)/n^2

From this relation, we can find all the coefficients in the expansion for the particular solution. Using this particular solution, we can find the total solution to the differential equation as the sum of the homogeneous solution and the particular solution.

The rank of the matrix is 3, since there are three linearly independent rows.

The rank of a matrix is the maximum number of linearly independent rows or columns in the matrix. It is denoted by the symbol "rank(A)" for a matrix A.

To find the rank of the matrix:

[-2, -1, -3, -1] [ 1, 2, -3, -1] [ 1, 0, 1, 1] [ 0, 1, 1, -1]

We can perform row operations to reduce the matrix to row echelon form, which will help us determine the rank.

\(R_2 = R_2 + 2R_1 R_3 = R_3 + 2R_1 R_4 = R_4 + R_2\)

This gives us the following matrix:

[-2, -1, -3, -1] [ 0, 0, -9, -3] [ 0, -1, -1, 1] [ 0, 0, -4, -4]

We can see that the third row is not a linear combination of the first two rows, and the fourth row is not a linear combination of the first three rows. Therefore, the rank of the matrix is 3, since there are three linearly independent rows.

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Answer: 1979.2 meters

Step-by-step explanation:

Diameter of wheel is 63 cm. Circumference is 63π = 197.92 cm. 1000 revolutions of 197.92 = 197920 cm = 1979.2 meters.

let's reword it

what is the arc of a circle whose central angle is 100 revolutions and has a radius of 63÷2?

let's keep in mind that radius is half the diameter, and a revolution is 2π radians or 360°, so hmmm 100 revolutions will just be 360*100 = 36000°.

\(\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ \theta =36000\\ r=\frac{63}{2} \end{cases}\implies s=\cfrac{(36000)\pi (\frac{63}{2})}{180}\implies s=\cfrac{(36000)(\frac{22}{7}) (\frac{63}{2})}{180} \\\\\\ s=200(\frac{22}{7}) (\frac{63}{2})\implies s=(200)(99)\implies \boxed{s=19800}~metres\)

Answer:his mom sounds like a push over

Step-by-step explanation: she’s limiting his video games dude

Answer:

y = x + 1

Step-by-step explanation:

Parallel lines have same slope.

y = x - 1

Compare with the equation of line in slope y-intercept form: y = mx +b

Here, m is the slope and b is the y-intercept.

m =1

Now, the equation is,

         y = x + b

The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,

        -2 = -3 + b

  -2 + 3 = b

         \(\boxed{b= 1}\)

    Equation of line in slope-intercept form:

                  \(\boxed{\bf y = x + 1}\)      

The equation is :

Solution:

If two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.

We shouldn't forget about a point on the line : (-3, -2).

I plug that into a point-slope which is :

\(\sf{y-y_1=m(x-x_1)}\)

Slope is 1 so

\(\sf{y-y_1=1(x-x_1)}\)

Simplify

\(\sf{y-y_1=x-x_1}\)

Now I plug in the other numbers.

-3 and -2 are x and y, respectively.

\(\sf{y-(-2)=x-(-3)}\)

Simplify

\(\sf{y+2=x+3}\)

We're almost there, the objective is to have an equation in y = mx + b form.

So now I subtract 2 from each side

\(\sf{y=x+1}\)

Answer:

d.exponential is answer

Step-by-step explanation:

I hope it's helpful!

x = total amount of gumballs

let's start subtracting the balls she's giving away

\(\stackrel{total}{x}-\stackrel{\textit{to jaysen}}{\cfrac{x}{2}}\implies \stackrel{\textit{what's left}}{\cfrac{x}{2}}~\hfill \stackrel{\textit{half of what's left to Marinda}}{\cfrac{~~ \frac{x}{2}~~}{2}\implies \cfrac{x}{4}} \\\\\\ \stackrel{\textit{what was left minus Marinda's}}{\cfrac{x}{2}-\cfrac{x}{4}\implies \stackrel{\textit{what's left}}{\cfrac{x}{4}}}~\hfill ~\hfill \stackrel{\textit{a third of what's left to Zack}}{\cfrac{~~ \frac{x}{4}~~}{3}\implies \cfrac{x}{12}}\)

\(\stackrel{\textit{what was left minus Zack's}}{\cfrac{x}{4}-\cfrac{x}{12}\implies \stackrel{\textit{what's left}}{\cfrac{x}{6}}}~\hfill \stackrel{\textit{her sister gets 5 balls of what's left}}{ \cfrac{x}{6}-5 }\)

and we also know that after all that has been subtracted, she's only left with 5, so we can say that

\(\stackrel{\textit{what's finally left}}{\cfrac{x}{6}-5}~~ = ~~\stackrel{\textit{what's finally left}}{5}\implies \cfrac{x}{6}=10\implies \boxed{x = 60}\)

The values of x for the tangent segments to the circles are: (25). x = 2 and (26). x = 4

A theorem of tangents to a circle states that if from one exterior point, two tangents are drawn to a circle then they have equal tangent segments.

(25). 2x - 1 = x + 1 {equal tangent segments}

2x - x = 1 + 1 {collect like terms}

x = 2

(26). 2x - 4 = x {equal tangent segments}

2x - x = 4 {collect like terms}

x = 4

Therefore, the values of x for the tangent segments to the circles are: (25). x = 2 and (26). x = 4

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Step-by-step explanation:

To convert millimeters to centimeters we divide

As, 10 millimeters = 1 centimeter

So 1 centimeter = 1/10 millimeter

So here of we have 6 millimeters, so centimeters = 6/10 = 0.6cm

So the diameter of each bead in the necklace = 0.6cm

The diameter of bead in a necklaces is 0.6 centimeters.

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

Given that, April is making necklaces using beads that are 6 millimeters in diameter.

We know that, both millimeters and centimeters is the unit to measure the length. One millimeter is equal to 0.1 centimeters and 1 cm is equal to 10 mm.

Here, 6 millimeters

= 6×0.1

= 0.6 centimeters

Therefore, the diameter of a bead is 0.6 centimeters.

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Answer:

6

Step-by-step explanation:

The Volume is 4×6×9, which is 216

∛216

The cube root is 6.

I hope this helps!

pls ❤ and mark brainliest pls!

The percentage of young adults who exercised four or five days a week is 36%

Out of the 25 young adults surveyed, a total of 4 people exercised four days a week and 5 people exercised five days a week. To calculate the percentage of young adults who exercised four or five days a week, we add the number of people who exercised four days a week to the number of people who exercised five days a week, which gives us a total of 9.

We then divide this by the total number of people surveyed (25) and multiply by 100 to get the percentage.

So the percentage of young adults who exercised four or five days a week is

(9/25) x 100 = 36%

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1. Number of athletes did not own any of the three items = 259 - 228

= 31.

2. Number of athletes own a convertible and a TV but not a store = 44 - 9

= 35.

3. Number of athletes own a convertible or a TV = 110 + 91 - 44

= 157.

4. Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

5. Number of athletes owned at least one type of item = 259 - 31

= 228

6. Number of athletes own a TV or a store, but not a convertible = 13 + 34 +71

= 118.

The number of athletes did not own any of the three items need to subtract the number of athletes who own at least one item from the total number of athletes surveyed.

Total number of athletes surveyed = 259

Number of athletes own at least one item = 110 + 91 + 120 - 15 - 43 - 44 + 9 = 228

Number of athletes who did not own any of the three items = 259 - 228 = 31.

The number of athletes who owned a convertible and a TV but not a store need to subtract the number of athletes who own all three items from the number of athletes who own a convertible and a TV.

Number of athletes who own a convertible and a TV = 44

Number of athletes who own all three items = 9

Number of athletes who own a convertible and a TV but not a store = 44 - 9 = 35

The number of athletes who owned a convertible, or a TV need to add the number of athletes who own a convertible to the number of athletes who own a TV and then subtract the number of athletes own both a convertible and a TV.

Number of athletes who own a convertible or a TV = 110 + 91 - 44

= 157.

The number of athletes owned exactly one type of item need to add up the number of athletes who own a convertible only the number of athletes own a TV only and the number of athletes who own a store only.

Number of athletes own a convertible only = 110 - 15 - 9 = 86

Number of athletes own a TV only = 91 - 44 - 9 = 38

Number of athletes own a store only = 120 - 15 - 43 - 9 = 53

Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

The number of athletes who owned at least one type of item can use the result from part (1).

Number of athletes who owned at least one type of item = 259 - 31

= 228

The number of athletes who owned a TV or a store but not a convertible need to subtract the number of athletes who own all three items, and the number of athletes own a convertible and a TV from the number of athletes own a TV or a store.

Number of athletes own a TV or a store = 91 + 120 - 43 - 9 = 159

Number of athletes own a TV or a store not a convertible = 13 + 34 +71

= 118.

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Answer:

Okay so, first put a dot on the number three. Next, go down one and over two from that spot (2, 2) and so on.

Step-by-step explanation:

Answer and step-by-step explanation:

Here, we are given a linear equation, meaning that the graph is going to be a straight line. Firstly, we must identify the slope and the y-intercept of the line.

y = -1/2x + 3

The -1/2x is our slope, and the 3 is our y-intercept. So, let's plot the coordinate (0, 3) because that is the y-intercept. Lastly, we must find how steep the line is, and what direction it goes to. As you can see, it is negative, so that means that the slope will go from the top left to the bottom right. And, the slope is -1/2, which means that for every time you go to right two, you will also go down one. Hope this helps!

The probability of the Doubles" means both dice show the same number is 36.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The probabilities of these two outcomes must be added in order to get the likelihood of rolling an even number or doubles, but since we have already tallied those outcomes twice, the probability of rolling both doubles and an even number must be subtracted. The probability of rolling doubles and an even number is 1/36 since rolling two sixes is the only method to get a double and an even number.

The likelihood of rolling an even number or doubles is thus:

The formula for P(even number or doubles) is P(even number) = P(even number) + P(doubles) - P(even number and doubles) = 1/2 + 1/6 - 1/36 = 19/36.

The odds of rolling an even number or two doubles are 19/36.

Therefore, the probability of the Doubles" means both dice show the same number is 36.

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The common ratio (r) is obtained by dividing a term by its preceding term.

The number of terms in the series (n) = 6. (from the finite series)

Answer: the point is 96 inches

Step-by-step explanation:

32 x 3 = 96

Answer:

I'm pretty sure it's 48

Step-by-step explanation:

Since the signs length is 3 times it's width and the perimeter is just adding up all sides I found the width to be 4 and the length to be 12. Which adds up to 32. If you multiply length times width to get the area it's 48.

Answer: 133 degrees

Step-by-step explanation:

Answer:

P(X is less than 348) = 0.2148

Step-by-step explanation:

Given that:

Sample proportion (p) = 0.3

Sample size = 1200

Let X be the random variable that obeys a binomial distribution. Then;

\(X \sim Bin(n = 1200,p =0.3)\)

The Binomial can be approximated to normal with:

\(\mu = np = 1200 \times 0.3 \\ \\ \mu= 360\)

\(\sigma = \sqrt{np(1-p) } \\ \\ \sigma = \sqrt{1200 \times (0.3)(1-0.3) } \\ \\ \sigma = 15.875\)

To find:

P(X< 348)

So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 348 lies between 347.5 and 348.5

Normal distribution:

x = 347.5, \(\mu\) = 360, \(\sigma\) = 15.875

Using the z test statistics;

\(z = \dfrac{x - \mu}{\sigma}\)

\(z = \dfrac{347.5 - 360}{15.875}\)

\(z = \dfrac{-12.50}{15.875}\)

z = -0.7874

z ≅ - 0.79

The p-value for P(X<347.5) = P(Z < -0.79)

From the z tables;

P(X<347.5) = 0.2148

Thus;

P(X is less than 348) = 0.2148