There is a shirt that originally costs $10.00. Now it is 45% off. How much is the shirt after the discount?

Answer:

\(false \\ velocity \: is \: the \: displacement \: per \: \\ unit \: time \\ thank \: you\)

The rational, irrational and imaginary zeroes for function c(x) = 18x³ + 9x² - 2x -1 are:

To solve this proble, we will use Rational Root Theorem and Descartes Rules of Signs.

Based on Rational Root Theorem, we can find that the function c(x) has rational roots of:

c(x) = 18x³ + 9x² - 2x -1

possible roots = ± {factors of a₀} / {factors of aₙ}

From the given function, we can use the possible roots concept:

Possible roots = ± factors of 18

                              factors of 1

Possible roots = ± {1, 2, 3, 6, 9, 18}

                                     {1}

We can conculde some possible roots such as: {-18, -9, -6, -3, -2, -1, 1, 2, 3, 6, 9, 18}

Next, we need to confirm which possible roots are the rational roots by subtitute the possible roots into the function c(x). The rational roots will produce the function equals to zero (0).

c(1) = 18(1)³ + 9(1)² - 2(1) -1

c(1) = 18 + 9 - 2 - 1 = 24 --> irrational roots

c(2) = 18(2)³ + 9(2)² - 2(2) -1

c(2) = 18(8) + 9(4) - 2(2) - 1

c(2) = 144 + 36 - 4 - 1 = 175 --> irrational roots

c(3) = 18(3)³ + 9(3)² - 2(3) -1

c(3) = 18(27) + 9(9) - 2(3) - 1 = 560 --> irrational roots

c(6) = 18(6)³ + 9(6)² - 2(6) -1

c(6) = 4.199 --> irrational roots

c(9) = 18(9)³ + 9(9)² - 2(9) -1

c(9) = 13,832 --> irrational roots

c(18) = 18(18)³ + 9(18)² - 2(18) -1

c(18) = 107,855 --> irrational roots

c(-1) = 18(-1)³ + 9(-1)² - 2(-1) -1

c(-1) = -18 - 9 + 2 - 1 = -8 --> irrational roots

c(-2) = 18(-2)³ + 9(-2)² - 2(-2) -1

c(-2) = -105 --> irrational roots

c(-3) = 18(-3)³ + 9(-3)² - 2(-3) -1

c(-3) = -400 --> irrational roots

c(-6) = 18(-6)³ + 9(-6)² - 2(-6) -1

c(-6) = -3,553 --> irrational roots

c(-9) = 18(-9)³ + 9(-9)² - 2(-9) -1

c(-9) = -12,376 --> irrational roots

c(-18) = 18(-18)³ + 9(-18)² - 2(-18) -1

c(-18) = -120,176 --> irrational roots

Next, we will try to use Descartes Rule of Signs:

c(x) = 18x³ + 9x² - 2x -1

c(x) = +18x³ + 9x² - 2x -1

The sign is changing once, then the function c(x) has 1 positive roots.

Next, we change the value of (x) into (-x) and put it into the function:

c(-x) = 18(-x)³ + 9(-x)² - 2(-x) -1

c(-x) = -18x³ + 9x² + 2x -1

The signs are changing twice on between the first and second coefficient and between third and fourth. Hence the funciton c(x) has 2 or zero negative roots.

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Given:

The figure of a right angle triangle ABC.

AB = x, BC=7, m∠B = 90°, ∠C=16°.

To find:

The value of x.

Solution:

In a right angle triangle,

\(\tan \theta=\dfrac{Opposite}{Adjacent}\)

In triangle ABC,

\(\tan C=\dfrac{AB}{BC}\)

\(\tan (16^\circ)=\dfrac{x}{7}\)

\(0.28675=\dfrac{x}{7}\)

Multiply both sides by 7.

\(0.28675\times 7=x\)

\(2.00725=x\)

\(x\approx 2\)

Therefore, the value of x is about 2 units.

Answer: 15 tablespoons of flour

The value of the contour integral is -34πi.

To evaluate the contour integral ∮c \((2-1)^3e^{(3z^{2}) dz\), where c is the circle |z - i| = 1, we can apply Cauchy's residue theorem.

First, let's find the residues of the function \(f(z) = (2-1)^3 e^{(3z^{2})\) at its singularities within the contour. The singularities occur when the denominator of f(z) equals zero. However, in this case, the function is entire, meaning it has no singularities, so all its residues are zero.

According to Cauchy's residue theorem, if f(z) is analytic inside and on a simple closed contour c, except for isolated singularities, then the contour integral of f(z) around c is equal to 2πi times the sum of the residues of f(z) at its singularities enclosed by c.

Since all the residues are zero in this case, the integral ∮c (\(2-1)^3e^{(3z^{2)}} dz\) is also zero.

Now let's evaluate the integral ∮c (5z²+2) dz, where c is the circle |z| = 2, using Cauchy's residue theorem.

The integrand can be rewritten as f(z) = 5z²+2 = 5z² + 0z + 2, which has singularities at z = 0, z = -1, and z = 3.

We need to determine which singularities are enclosed by the contour c. The circle |z| = 2 does not enclose the singularity at z = 3, so we only consider the singularities at z = 0 and z = -1.

To find the residues at these singularities, we can use the formula:

Res[z=a] f(z) = lim[z→a] [(z-a) * f(z)]

For the singularity at z = 0:

Res[z=0] f(z) = lim[z→0] [(z-0) * (5z² + 0z + 2)]

= lim[z→0] (5z³ + 2z)

= 0 (since the term with the highest power of z is zero)

For the singularity at z = -1:

Res[z=-1] f(z) = lim[z→-1] [(z-(-1)) * (5z² + 0z + 2)]

= lim[z→-1] (5z³ - 5z² + 7z)

= -17

According to Cauchy's residue theorem, the contour integral ∮c (5z²+2) dz is equal to 2πi times the sum of the residues of f(z) at its enclosed singularities.

∮c (5z²+2) dz = 2πi * (Res[z=0] f(z) + Res[z=-1] f(z))

= 2πi * (0 + (-17))

= -34πi

Therefore, the value of the contour integral is -34πi.

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Answer:

\(4x\left(x^2-3x+1\right)\)

\(Distribute\:parentheses\)

\(\mathrm{Apply\:minus-plus\:rules}\)

\(Simplify\)

The comparsion of the proportion of metal-tagged penguins that survived to the proportion of electronic-tagged penguins that survived gives us following result:

sample one, x1 =10, n1 =50, p1= x1/n1=0.2

sample two, x2 =18, n2 =50, p2= x2/n2=0.36

finding a p^ value for proportion p^=(x1 + x2 ) / (n1+n2)

p^=0.28

q^ Value For Proportion= 1-p^=0.72

null, H : p1 = p2

alternate, H1: p1 ≠ p2

level of significance, α = 0.05

from standard normal table, two tailed z α/2 =1.96

since our test is two-tailed

reject H, if zo < -1.96 OR if zo > 1.96

we use test statistic (z) = (p1-p2)/√(p^q^(1/n1+1/n2))

z =(0.2-0.36)/\(\sqrt{((0.28*0.72(1/50+1/50))}\)

z =-1.7817

| z | =1.7817

critical value

the value of |z α| at los 0.05% is 1.96

we got |zo| =1.782 & | z α | =1.96

make decision

hence value of |zo | < | z α | and here we fail to reject H

p-value: two tailed ( double the one tail ) - Ha : ( p ≠ -1.7817 ) = 0.0748

hence value of p0.05 < 0.0748,here we fail to reject H .

a) standard normal distribution is approximately

b) null, H : p1 = p2

alternate, H1: p1 ≠ p2

test statistic: -1.7817

critical value: -1.96 , 1.96

decision: fail to reject H

p-value: 0.0748

c) we do not have enough evidence to support the claim that difference of proportions metal-tagged penguins who survive – proportion of electronic-tagged penguins who survive

d) given that,

sample one, x1 =10, n1 =50, p1= x1/n1=0.2

sample two, x2 =18, n2 =50, p2= x2/n2=0.36

standard error = \(\sqrt{( p1 * (1-p1)/n1 + p2 * (1-p2)/n2 )\)

where

p1, p2 = proportion of both sample observation

n1, n2 = sample size

standard error = \(\sqrt{( (0.2*0.8/50) +(0.36 * 0.64/50))\)

=0.088

margin of error = Z a/2 * (standard error)

where,

Za/2 = Z-table value

level of significance, α = 0.05

from standard normal table, two tailed z α/2 =1.96

margin of error = 1.96 * 0.088

=0.173

CI = (p1-p2) ± margin of error

confidence interval = [ (0.2-0.36) ±0.173]

= [ -0.333 , 0.013]

e) given that,

sample one, x1 =10, n1 =50, p1= x1/n1=0.2

sample two, x2 =18, n2 =50, p2= x2/n2=0.36

standard error = sqrt( p1 * (1-p1)/n1 + p2 * (1-p2)/n2 )

where

p1, p2 = proportion of both sample observation

n1, n2 = sample size

standard error = \(\sqrt{( (0.2*0.8/50) +(0.36 * 0.64/50))\)

=0.088

margin of error = Z a/2 * (standard error)

where,

Za/2 = Z-table value

level of significance, α = 0.1

from standard normal table, two tailed z α/2 =1.645

margin of error = 1.645 * 0.088

=0.145

CI = (p1-p2) ± margin of error

confidence interval = [ (0.2-0.36) ± 0.145]

= [ -0.305 , -0.015]

f) Given that,

sample one, x1 =10, n1 =50, p1= x1/n1=0.2

sample two, x2 =18, n2 =50, p2= x2/n2=0.36

finding a p^ value for proportion p^=(x1 + x2 ) / (n1+n2)

p^=0.28

q^ Value For Proportion= 1-p^=0.72

null, H : p1 = p2

alternate, H1: p1 ≠ p2

level of significance, α = 0.1

from standard normal table, two tailed z α/2 =1.645

since our test is two-tailed

reject H , if zo < -1.645 OR if zo > 1.645

we use test statistic (z) = (p1-p2)/√(p^q^(1/n1+1/n2))

zo =(0.2-0.36)/sqrt((0.28*0.72(1/50+1/50))

zo =-1.7817

| zo | =1.7817

critical value

the value of |z α| at los 0.1% is 1.645

we got |zo| =1.782 & | z α | =1.645

make decision

hence value of | zo | > | z α| and here we reject H

p-value: two tailed ( double the one tail ) - Ha : ( p ≠ -1.7817 ) = 0.0748

hence value of p0.1 > 0.0748,here we reject H

g) null, H : p1 = p2

alternate, H1: p1 ≠ p2

test statistic: -1.7817

critical value: -1.645 , 1.645

decision: reject H o

p-value: 0.0748

we have enough evidence to support the claim that difference of proportion between metal-tagged penguins that survived to the proportion of electronic-tagged penguins that survived.

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Answer: The comparison of the proportion of metal-tagged penguins that survived to the proportion of electronic-tagged penguins that survived gives us

Answer:

.08 m is left

Step-by-step explanation:

6.06 - 5.98 = 0.08

The required value of the given function is (f ⋅ g)(4) = 130.

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The functions are given in the question, as follows:

f(x)=3x+1 and g(x)=x²-6

(f ⋅g)(x) is the composition of the functions f and g, which means f(x) × g(x).

(f ⋅ g)(x) = f(x) × g(x)

So, substituting x = 4:

(f ⋅ g)(4) = f(4) × g(4)

= (3 × 4 + 1)×(4² - 6)

= 13 × 10

= 130

So, (f ⋅ g)(4) = 130.

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This method is used when the population has distinct subgroups.

The plan to conduct a survey by randomly selecting 20 students from each of the freshman, sophomore, junior, and senior classes is an example of stratified random sampling.

In stratified random sampling, the population is first divided into subgroups or strata based on some characteristic, such as class level (freshman, sophomore, junior, senior), and a random sample is then selected from each stratum.

This method is used when the population has distinct subgroups and it is important to ensure that the sample is representative of each subgroup. In this case, by taking random samples of 20 students from each class level, the statistics class can ensure that the survey results accurately reflect the views of each class level and not just one particular group.

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The value of the variable d, which represents Diego's age, is 53. To translate the sentence "65 decreased by Diego's age is 12" into an equation, we can use the variable d to represent Diego's age.

Let's break down the sentence into mathematical terms:

"65 decreased by Diego's age" can be represented as 65 - d, where d represents Diego's age.

"is 12" can be represented by the equal sign (=) with 12 on the other side.

Combining these parts, we can write the equation as:

65 - d = 12

In this equation, the expression "65 - d" represents 65 decreased by Diego's age, and it is equal to 12.

To solve this equation and find Diego's age, we need to isolate the variable d. We can do this by performing inverse operations to both sides of the equation:

65 - d - 65 = 12 - 65

Simplifying the equation:

-d = -53

Since we have a negative coefficient for d, we can multiply both sides of the equation by -1 to eliminate the negative sign:

(-1)(-d) = (-1)(-53)

Simplifying further:

d = 53

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Answer:

a) 83,b) -4,c) 48,d) 16,e) 8

Answer:

28.875 or 28 7/8

Step-by-step explanation:

pls mark brainliest!

steps:

(23+1/2) + (15+1/8) - (9+3/4) then solve

46+1 over 2 + 120+1 over 8 - 36+3 over 4

solve

47/2 + 121/8 - 39/4

solve

188+121-78 over 8 = 231/8

convert 231/8= 28 7/8

Answer:

The actual value of the breadth of the land is (3x² - 102x + 786) / (x-17)².

Step-by-step explanation:

Finding the total area of the rectangular land. The area can be calculated by multiplying the length and the breadth of the land. Let the breadth of the land be 'b' units.

So, the total area of the rectangular land is:

Length × Breadth = (x-17) × b

We know that the area received by the first son is x²-9 square units, the area received by the second son is x² + 2x-15 square units, and the area received by the third son is x²-6x +9 square units.

According to the problem, the sum of the areas received by the three sons must be equal to the total area of the land. So, we can write an equation as follows:

x² - 9 + x² + 2x - 15 + x² - 6x + 9 = (x-17) × b

Simplifying this equation, we get:

3x² - 4x - 15 = (x-17) × b

Now, we know that x-17, so we can substitute this value in the above equation to get:

3x² - 4x - 15 = (x-17) × b

3x² - 4x - 15 = -b(17 - x)

3x² - 4x - 15 = b(x - 17)

Since we need to find the breadth of the land, we can isolate 'b' on one side of the equation and simplify:

b = (3x² - 4x - 15) / (x - 17)

Now, we can substitute the value of x-17 to get:

b = (3(x-5)(x+1)) / (x-17)

We can simplify this expression by canceling out the factor (x-17) in the numerator and denominator, which gives:

b = 3(x+1)/(x-17) × (x-5)/(x-17)

b = 3(x² - 4x - 5) / (x-17)²

Now, we can substitute the given value of x-17 to get the actual value of the breadth of the land:

b = 3((x-17)² - 4(x-17) - 5) / (x-17)²

b = 3(x-17)² - 12(x-17) - 15 / (x-17)²

b = (3x² - 102x + 786) / (x-17)²

Therefore, the actual value of the breadth of the land is (3x² - 102x + 786) / (x-17)².

Answer:

\( - \frac{58}{20} < - \sqrt{8} < \frac{17}{22} < 0.78\)

Step-by-step explanation:

There you go, have a good day

Answer: -9 degrees Fahrenheit

Step-by-step explanation:

Given: Temperature at 6:00 AM = -12 degrees Fahrenheit

Temperature increased each hour = \(\dfrac12\) degrees Fahrenheit

Temperature increase in 6 hours = \(6\times\dfrac12=3\text{ degrees Fahrenheit}\)

Temperature at noon = Temperature at 6:00 AM+Temperature increase in 6 hours

= -12+3 degrees Fahrenheit

= -9 degrees Fahrenheit

Hence, the temperature in degrees Fahrenheit at noon= -9 degrees Fahrenheit

Answer:

I'll explain

Step-by-step explanation:

1/8 is the least because it is the smallest fraction

1/6 is the next smallest fraction

then 1/5 is the text smallest

and 1/4 is the biggest fraction

Answer:

1/8

1/6

1/5

1/4

This is in order from least to greatest starting at the top

Answer:

15

Step-by-step explanation:

the range is the largest number take away the smallest number

56-41=15

Answer:

e

Step-by-step explanation:

*see attachment for the figure

Answer:

Side BC = 3.0 millimeters, Angle A = 66.6 degrees, Side AC = 1.3 millimeters

Step-by-step explanation:

Given:

C = 90°

B = 23.4°

AB = c = 3.3 mm

Required:

<A, BC, and AC

Solution:

✔️m<A = 180° - (90° + 23.4°) (sum of triangle)

m<A = 66.6°

✔️To find BC and AC, apply trigonometric function:

Reference angle = 23.4°

Hypotenuse = 3.3 mm

Opposite = AC

Adjacent = BC

✅Apply CAH to find AC:

Cos 23.4 = Adj/Hyp

Cos 23.4 = BC/3.3

3.3 × Cos 23.4 = BC

3.02859027 = BC

BC ≈ 3.0 mm

✅Apply SOH to find AC:

Sin 23.4 = Opp/Hyp

Sin 23.4 = AC/3.3

3.3 × Sin 23.4 = AC

1.31058804 = AC

AC ≈ 1.3 mm

Answer: B bc=3.0mm, A=66.6, AC=1.3mm

Step-by-step explanation:

Answer:

To find out how much the TV is worth now, we need to apply the depreciation rate of 9% to the original price for 8 months:

First, let's calculate the value after the first month:

Value after 1 month = $2740 - (9% of $2740) = $2501.40

Now, let's calculate the value after 2 months:

Value after 2 months = $2501.40 - (9% of $2501.40) = $2275.80

We can continue this process for 8 months to find the current value:

Value after 3 months = $2071.67

Value after 4 months = $1888.81

Value after 5 months = $1725.10

Value after 6 months = $1579.92

Value after 7 months = $1452.16

Value after 8 months = $1339.53

Therefore, the TV is worth $1,339.53 now.

Answer:

7× greater than or equal to 50

Step-by-step explanation:

it won't let me put the sign but I think that the correct answer

The second derivative of the function f is expressed as f''(x) = x(x-3)^5(x-10)^2. This information provides insights into the behavior and critical points of the function.

The given expression, f''(x) = x(x-3)^5(x-10)^2, represents the second derivative of a function f with respect to the variable x. The second derivative provides valuable information about the behavior of the function, particularly regarding concavity and inflection points.

The equation indicates that the function has factors of x, (x-3)^5, and (x-10)^2. The term x indicates that the function includes a linear component, while the factors (x-3)^5 and (x-10)^2 suggest that the function may exhibit multiple inflection points and changes in concavity around x = 3 and x = 10.

The expression does not provide information about the original function f(x) or its first derivative f'(x), but it does give valuable insights into the higher-order behavior of the function and can help analyze critical points and concavity characteristics when combined with additional information about the function.

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If bx = by in the cross product or vector product, the unit-vector notation of the resulting vector would be (0, 0, 1) or simply k-hat.

In the cross product or vector product of two vectors, the resulting vector is perpendicular to both of the original vectors. The direction of the resulting vector is determined by the right-hand rule, where the thumb represents the direction of the cross product.

If bx = by, it means that the x-component of the first vector is equal to the y-component of the second vector. In this case, the resulting vector will have an x-component and y-component of zero.

Since the resulting vector must be perpendicular to both vectors, its z-component must be non-zero. Therefore, the unit-vector notation of the resulting vector would be (0, 0, 1), where the z-component (k-component) is 1.

If bx = by in the cross product, the resulting vector in unit-vector notation would be (0, 0, 1) or simply k-hat. This indicates that the resulting vector has zero components in the x and y directions and a non-zero component in the z direction.

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The result of (f - g)(x) is 3x^2 - 2x - 1. There are no domain restrictions for this operation.

To compute (f - g)(x), we subtract the function g(x) from f(x).

Distributing the negative sign to g(x) yields -2x^2 - x + 2. Combining like terms with f(x) = 5x^2 - 3x + 1, we subtract the corresponding coefficients.

The resulting expression is (f - g)(x) = (5x^2 - 2x^2) + (-3x - (-x)) + (1 - 2) = 3x^2 - 2x - 1.

There are no domain restrictions for this operation, as both f(x) and g(x) are defined for all real numbers.

The resulting function represents the difference between f(x) and g(x) and can be used to analyze the behavior of the two functions when subtracted from each other.

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Answer:

الجملة الاسميةالجملة الاسميةالجملة الاسميةالجملة الاسميةالجملة الاسميةالجملة الاسميةالجملة الاسميةvالجملة الاسميةالجملة الاسميةالجملة الاسميةالجملة الاسميةv

gkgkhhkStep-by-step explanation:

It is reasonable to expect a 1 meter increase in height and a 40 millimeter increase in diameter after 5 years.

Assuming the growth rate remains consistent, the height of the trunk will increase by 0.2 meters each year for the next 5 years. This means that after 5 years, the height of the trunk will have increased by a total of 1 meter.  

Additionally, for each of the next 5 years, the trunk puts on a growth ring 4 millimeters thick. Assuming the measurements are evenly distributed around the trunk, the diameter of the trunk will increase by 8 millimeters each year (4 millimeters on either side). This means that after 5 years, the trunk will have grown in diameter by a total of 40 millimeters.

It's worth noting that the tree producing the same amount of wood each year may impact the overall growth of the trunk. If the tree is unable to support its increased height and diameter with the same amount of wood each year, it may not grow as much as anticipated.  

However, assuming the tree is healthy and able to sustain its growth, it is reasonable to expect a 1 meter increase in height and a 40 millimeter increase in diameter after 5 years.

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Answer:

2 green

Step-by-step explanation:

The ratio of blue to green is 4 to 1  <===== there is 1/4th asmany green as blue.... so if there are 8 blue, there are only   2 green

Answer for x is 5

Step by step explanation: