can someone help with this please
Use the information provided to create a polynomial function described below.
Degree of 3
Zeros are -3, 4, 6
End behavior is as x increases in the positive direction y increases in the positive direction.

I hope this photo will help you.

After he withdraws $50.00 in cash the bank reconciliation shows that Ryan would have: $1 501.98 in bank balance.

Add all the deposits

Total = $338.82

Add the checks

654.24 + 100.00 + 458.92

= $1,213.16

Total amount deposited is:  Cash + Check

1,213.16 + 338.82

Total Deposit = $1,551.98

Less withdrawal of $50

$1,551.98 - $50

Balance left = 1 501.98

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Full Question:

Ryan Massey wants to deposit the following into his savings account: 28 ten-dollar bills, 9 five-dollar bills, 20 quarters, 85 dimes, 32 pennies, and three checks for $654.24, $100.00, and $458.92. He wants to receive $50.00 in cash.

How much cash would he lave left after he withdraws $50.00 in cash?

The length of arc FD with a radius of 15 and angle of 120° is 10π units.

An equation is an expression that shows the relationship between two or more numbers and variables.

The length of an arc is given by:

arc length = (Ф/360) * 2π*radius

Let us assume that the angle is 120°

arc FD = (135/360) * 2π(15) = 10π

The length of arc FD with a radius of 15 and angle of 120° is 10π units.

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Answer:

1/5

Step-by-step explanation:

In the circle equation shown, the 1/25 all by itself on the right side of the equation is r^2.

r^2 = 1/25

Squareroot both sides.

r = 1/5

Answer:

Given that,

Maira has a total of Rs.1040 as currency notes in the denomination of Rs.10, Rs.20 and Rs.50.

The ratio of the number of Rs.10 notes and Rs.20 notes is 2:5.

She has a total of 30 notes with her.

Let assume that

Number of Rs 10 notes be 2x

Number of Rs 20 notes be 5x

Number of Rs 50 notes be 30 - (2x + 5x) = 30 - 7x

So,

[tex]\begin{gathered}\qquad \:\boxed{\begin{aligned}& \qquad\sf \:Denomination \: of \: Rs \: 10=2x\qquad \: \\ \\& \qquad \:\sf \: Denomination \: of \: Rs \: 20=5x\\ \\& \qquad \:\sf \: Denomination \: of \: Rs \: 50=30 - 7x\end{aligned}} \qquad \\ \\ \end{gathered}[/tex]

Now,

Amount in form of Rs 10 = 10 × 2x = Rs 20x

Amount in form of Rs 20 = 20 × 5x = Rs 100x

Amounts in form of Rs 50 = 50 × (30 - 7x) = Rs 1500 - 350x

Now, According to statement

[tex]\begin{gathered}\sf \: 20x + 100x + 1500 - 350x = 1040 \\ \\ \end{gathered}[/tex]

[tex]\begin{gathered}\sf \: 120x + 1500 - 350x = 1040 \\ \\ \end{gathered}[/tex]

[tex]\begin{gathered}\sf \: 1500 - 230x = 1040 \\ \\ \end{gathered}[/tex]

[tex]\begin{gathered}\sf \:- 230x = - 460 \\ \\ \end{gathered}[/tex]

[tex]\sf \: \implies x = 2 [/tex]

Hence,

[tex]\begin{gathered}\qquad \:\boxed{\begin{aligned}& \qquad \:\sf \:Denomination \: of \: Rs \: 10=4\qquad \: \\ \\& \qquad \:\sf \: Denomination \: of \: Rs \: 20=10\\ \\& \qquad \:\sf \: Denomination \: of \: Rs \: 50=16\end{aligned}} \qquad \\ \\ \end{gathered}[/tex]

Answer:

Hello! The answer is 19.25 m²

Step-by-step explanation:

A = 1/2(4 + 7)3.5

A = 1/2(11)3.5

A = (5.5)3.5

A = 19.25 m²

Answer:

19.25 m²

Step-by-step explanation:

A = (1/2)(b1 + b2)h

A = (1/2)(7 m + 4 m)(3.5 m)

A = 19.25 m²

Answer:

Let the cost price be x

[tex]\rm{C.P. = \dfrac{S.P. \times 100}{100+ gain \% }}[/tex]

[tex]\rm{C.P. = \dfrac{130 \times 100}{100+30}}[/tex]

[tex]\rm{ C.P. = \dfrac{130}{30} }[/tex]

[tex]\large{\boxed{\rm{ C.P. = \dfrac{13}{3}}}}[/tex]

Answer:

(r,0)

Step-by-step explanation:

Answer: V≈1642 cm³.

Step-by-step explanation:

D=20 cm      d=12 cm      h=8 cm       V=?

[tex]R=\frac{D}{2}=\frac{20}{2} =10 \ (cm).\\ r=\frac{d}{2}=\frac{12}{2}=6 \ (cm).\\ \boxed {V=\frac{1}{3} *\pi *h*(R^2+R*r+r^2)} \ \ \ \ \ \Rightarrow\\V=\frac{1}{3}*\pi *8*(10^2+10*6+6^2)\\V=\frac{1}{3}*\pi *8*(100+60+36)\\ V=\frac{8}{3} *\pi *196\\V=\frac{8*196*\pi }{3} \\V\approx1642\ cm^3.[/tex]

Answer:

Central Angle (Radians)=

1.0482

Central Angle (Degrees)=

6.0058e+1

Sector Area Equals

0.477

Step-by-step explanation:

Answer:

the angle = ~56.3 degrees

Step-by-step explanation:

1. y=3/2(x) and y=0
2. say x is equal to 4. the length along the x axis is 4. you would plug x=4 into y=3/2x to get the length along the y axis (which would be 6). then you would use these lengths to find the angles value with tan. tan^-1(6/4), so the answer would be ~56.3 degrees

Answer:

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

By CPCTC,

[tex]32=5x-13\\\\45=5x\\ \\ x=9[/tex]

The expression for the area of the base of Prism is   x2 – 2x – 9

The volume of a rectangular prism is this

Volume = Area x Height

Substituting the given expressions

x3 + 2x2 - 17x - 36 = Area x (x + 4)

Area = (x3 + 2x2 - 17x - 36) / (x + 4)

Now, let's use synthetic division

-4 |    1    2    -17   -36

----    __-4___8___36

        1    -2     -9     0

The expression for the area is

Area = x2 - 2x - 9

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Before lunch, they drove at a constant rate of 55 miles per hour for 3 hours -> They drove a total of 55 x 3 = 165 miles.

After lunch, they drove at a constant rate of 45 miles per hour for 2 hours -> They drove a total of 45 x 2 = 90 miles.

So, the total amount of miles the Ramos family drove is 165 + 90 = 255 miles.

Before lunch, they drove at a constant rate of 55 miles per hour for 3 hours.

[tex]\longrightarrow \tt{55*3=165}[/tex]

After lunch, they drove at a constant rate of 45 miles per hour for 2 hours.

[tex] \longrightarrow \tt{45*2=90}[/tex]

Total miles the Ramos family drive

[tex] \longrightarrow \tt{165+90=255}[/tex]

[tex]answer : \pink{255} \: \tt{miles}[/tex]

[5] No slope (or a slope of 0)

      There is no incline or decline to the line, so there is no slope.

[6] 1

      We can use "rise over run" since we have clear points on the graph. See attached.

[7] Undefined slope

      This slope of this line is undefined. The formula for slope is [tex]\frac{\text{change in y}}{\text{change in x}}[/tex] which becomes [tex]\frac{0}{0}[/tex] in a case like this. You cannot divide by 0, giving a slope of undefined.

The width (in minutes) of the 95 percent confidence interval for the true mean transaction time is 1.2786 minutes.

Sample size (n) = 16.

Sample mean = 2.8 minutes.

Sample standard deviation (σ) = 1.2 minutes.

Confidence interval given = 95%.

The degree of freedom (df) can be calculated as n - 1.

df = n - 1 = 16 - 1 = 15.

Since, the level of confidence is 95%, the level of significance α = 1 - 0.95 = 0.05.

From the T-Distribution table, we take the value at critical value α/2 with the degree of freedom 15.

[tex]t_{\frac{\alpha }{2} ,15}[/tex] = 2.131.

Now, the margin of error can be shown as follows:

[tex]E = t_{\frac{\alpha }{2} ,15} * \frac{\sigma}{\sqrt{n} } \\\Rightarrow E = 2.131 * \frac{1.2}{\sqrt{16} }\\ \Rightarrow E = 0.6393[/tex]

The width at the confidence interval of 95%, is twice the margin of error, that is:

Width = 2*E = 2*0.6393 = 1.2786.

Thus, the width (in minutes) of the 95 percent confidence interval for the true mean transaction time is 1.2786 minutes.

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The property for the missing justification is: A. addition property of equality.

If b - a = c, based on the addition property of equality, we can isolate b by adding a to both sides, i.e. b - a + a = c + a, to give us b = c + a.

Using the addition property of equality, 7 was added to both sides of the equation as shown in step 3.

Therefore, the missing justification is: A. addition property of equality.

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Answer:

the answer is c ASA

Step-by-step explanation:

i think I. not sure

If the measure of angle θ is 3π/4, the true statements are:

In Trigonometry, an angle with a magnitude of 3π/4 (radians) is equivalent to 135° (degrees) and it's found in the second quarter. Thus, we would calculate the reference angle for θ in second quarter as follows:

Reference angle = 180 - θ

Reference angle = 180 - 135

Reference angle = 45°.

Also, a terminal point for this angle θ is given by (-√2/2, √2/2) which corresponds to cosine and sine respectively. This ultimately implies that sin(θ) = √2/2.

tan(θ) = cos(θ)/sin(θ)

tan(θ) = [(-√2/2)/(√2/2)]

tan(θ) = -1

In conclusion, we can logically deduce that only options A and B are true statements.

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Complete Question:

If the measure of angle θ is 3π/4, which statements are true. Select all the correct answers.

A. sin(θ)=sqrt2/2

B. The measure of the reference angle is 45

C. The measure of the reference angle is 30

D. The measure of the reference angle is 60

E. cos(θ)=sqrt2/2

F. tan(θ)=1

Answer:

[tex]y^{5}[/tex] + 11y³ - 2y² - 22

Step-by-step explanation:

(y³ - 2)(y² + 11)

each term in the second factor is multiplied by each term in the first factor.

y³(y² + 11) - 2(y² + 11) ← distribute both parenthesis

= [tex]y^{5}[/tex] + 11y³ - 2y² - 22

Additional wire of  26 7/20 feet, in the form of a mixed fraction, is required to complete the job.

A mixed fraction is represented by both its quotient and remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

Max has total 6*9 2/5feet of wire, that is, 282/5 feet of wire.

Fred has total 7*16 3/4 feet of wire, that is, 469/4 feet of wire.

The total amount of wire required=200 feet

The total amount of wire available=282/5+469/4

                                                         =3473/20

An additional amount of wire is required=200-3473/20

                                                                   =(4000-3473)/20

                                                                   =527/20

Thus, the additional amount of wire required is expressed as a mixed fraction= 26 7/20 of feet.

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The second degree polynomial with leading coefficient of -2 and root 4 with multiplicity of 2 is:

[tex]p(x) = -2*(x - 4)*(x - 4) = -2*(x - 4)^2[/tex]

A polynomial of degree N, with the N roots {x₁, ..., xₙ} and a leading coefficient a is written as:

[tex]p(x) = a*(x - x_1)*(x - x_2)*...*(x - x_n)[/tex]

Here we know that the degree is 2, the only root is 4 (with a multiplicity of 2, this is equivalent to say that we have two roots at x = 4) and a leading coefficient equal to -2.

Then this polynomial is equal to:

[tex]p(x) = -2*(x - 4)*(x - 4) = -2*(x - 4)^2[/tex]

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A = {x|x ∈ U and is an even positive integer}

The universal set(U) consists of only positive integers.

Given,  A = {x|x ∈ U and x is an odd positive integer}.

That means the set A contains all those elements which belongs to the universal set and should be a positive odd number.

refers to the complement of A. It means that it will contain all those elements that belong to U but does not belong to A.

All  the positive odd integer is made up of two types of number ,i.e, positive and negative number.

So,this set will contain all the element belonging to U and should be an even positive integer.

Therefore,Ac = {x|x ∈ U and is an even positive integer}.

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Answer:D:Ac = {x|x ∈ U and is an even positive integer}

Step-by-step explanation:

edge 2022

Answer:

Step-by-step explanation:

Since 20 is 4/3 * 15, the answer must be 4/3 * 18

4/3 * 18 = 24, so the answer is 24

The simplified expression that represents the total perimeter of the triangle is 2x^2 + 10x  + 3

The side lengths are given as:

2x^2 + 5x + 3, 2 + 2x and 3x - 2

Add these lengths to determine the perimeter (P)

P = 2x^2 + 5x + 3 + 2 + 2x + 3x - 2

Collect like terms

P = 2x^2 + 5x + 2x + 3x  + 3 + 2 - 2

Evaluate the like terms

P = 2x^2 + 10x  + 3

Hence, the simplified expression that represents the total perimeter of the triangle is 2x^2 + 10x  + 3

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The system of equations representing these costs are; y = 7.5x and y = 5.5x + 10

The slope of the first line is;

m = (y2 - y1)/(x2 - x1)

m = (32 - 10)/(4 - 0)

m = 5.5

Now, the first coordinate has a y-intercept of 10. Thus, the equation here for the cost is; y = mx + c = 5.5x + 10

The slope of the second line is;

m = (y2 - y1)/(x2 - x1)

m = (15 - 0)/(2 - 0)

m = 7.5

Now, the first coordinate has a y-intercept of 0. Thus, the equation here for the cost is; y = mx + c = 7.5x + 0 = 7.5x

Thus, the system of equations representing these costs are;

y = 7.5x and y = 5.5x + 10

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Answer:

y = 7.5x and y = 5.5x + 10

Step-by-step explanation:

Iota, also known as the symbol , is denoted as being the square root of -1. Since square roots of negative numbers do not exist, there is a variable that represents it complexly. In fact, every real number (a) can be represented using the form (a) + (0).

On occasion, variables can also use and it does not have to be talking about the square root of -1. However, this rarely ever happens to avoid confusion. Check instructions in questions to see how is defined.

Answer:

29 years

Step-by-step explanation:

In 29 years the grandson will be 40 and the grandfather will be 80. 80 is twice as much as 40.

Answer: 29 years

Step-by-step explanation: if the grandfather is 51 when the grandson is 11 then the grandfather was 40 when his grandson was born. This mean the grandfather will be 80 when the grandson is 40. 40-11=29

The true statement is David's calculations are incorrect, he used the circumference and the height to find the volume.

Correct calculation:

C = 2πr

8.6 = 2 × 3.14 × r

8.6 = 6.28r

r = 8.6/6.28

r = 1.36942675159235 inches

convert 1.36942675159235 inches to cm

= 3.478343949044569 cm

Approximately,

r = 3.5 cm

Volume = πr²h

= 3.14 × 3.5² × 15.2

= 3.14 × 12.25 × 15.2

= 584.668 cm³

Approximately,

volume = 584.7 cm³

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