Which of the following expressions will have a product greater than 4? four times ninety-nine hundredths four times eight-eighths three-fourths times four one hundred and one-one hundredths times four

The simplified form of the expression is 10x^4 - 36x^3 + 41x^2 - 33x + 12.To simplify the expression (5x^2 - 3x + 4) * (2x^2 - 6x + 3), we can use the distributive property and combine like terms.

(5x^2 - 3x + 4) * (2x^2 - 6x + 3)

= 5x^2 * 2x^2 + 5x^2 * (-6x) + 5x^2 * 3 + (-3x) * 2x^2 + (-3x) * (-6x) + (-3x) * 3 + 4 * 2x^2 + 4 * (-6x) + 4 * 3

Simplifying each term:

= 10x^4 - 30x^3 + 15x^2 - 6x^3 + 18x^2 - 9x + 8x^2 - 24x + 12

Combining like terms:

= 10x^4 + (-30x^3 - 6x^3) + (15x^2 + 18x^2 + 8x^2) + (-9x - 24x) + 12

= 10x^4 - 36x^3 + 41x^2 - 33x + 12

So, the simplified form of the expression is 10x^4 - 36x^3 + 41x^2 - 33x + 12.

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Answer: 3

Step-by-step explanation:

1: 3x-y+3=0

2: y=3x+3

y-intercept: (0,3) y value = 3

plug in and check: 3x-3+3=0 x=0

Where  F(x)= -3x²+2x-17, there are two imaginary solutions: x = 0.33 ± 2.36i

Given   F(x)= -3x²+2x-17

Using the quadratic equation formula we have

x =   (-b ± √(b² - 4ac)) / 2a

x = -2 √(2² - 4 x (-3) x(-17))/2 * -3

x = -2 ± √-200/-6

x = 1/3 ± 5/3√2i

x  =  0.33333333333333 ± 2.3570226039552i

x ≈   0.33 ± 2.36i

Note that i in this case is an imaginary solution. A pure imaginary number is one with a square that is a negative real number. A complex number is the product of a real and a pure imaginary number.

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Answer:

sadly, 5$.

Step-by-step explanation:

4 people, and 35$ per person. You spend 140 total on tickets alone. +15 for parking adds up to 155. Subtract all of that from 200, and you have 5 bucks left to spend.

The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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The center of the face of a cube is the midpoint of the face and lies along the line that runs between the opposite vertices of the face.

This is the point of intersection of the two diagonals in a face. In other words, it is the point that is equidistant from all four corners of the face.

To visualize this, imagine dividing the face into four equal triangles by drawing lines from each corner to the center. The center of the face is at the intersection of these lines.

In three-dimensional space, the center of the face of a cube is also the center of the cube itself, as all faces of a cube are congruent (the same shape and size) and meet at the center of the cube.

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Answer:

35

Step-by-step explanation:

i) Based on exponential growth, Xavier's salary in 2015 is £44,274.

ii) The year that Xavier's salary first became greater than £47,500 would be 2019.

Exponential functions show the relationship between two variables and a variable exponent with a periodic constant rate of growth or decay in the value of something

Annual increase in Xavier's salary = 2% or 0.02

Xavier's salary in 2010 = £40,100

The number of years between 2015 and 2010 = 5 years

i) y = £40,100(1.02)^5

= £44,273.64

= £44,274

ii) £47,500 = £40,100(1.02)^t

t = 9 years

= 2019 (2010 + 9)

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9)

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17)

Solution (9):

Solution (10):

Solution (11):

Solution (12):

Solution (13):

Solution (14):

Solution (15):

Solution (16):

Solution (17):

Hoped this helped!

Based on the information, we can determine convergence or divergence of series.The given options do not provide a clear representation of potential outcomes.It is not possible to select correct option.

The given series is "nvž enn |||-) En=12 100 1-) Σπίο 3* 2"-1 ||-) En=2 n". In the series, we have the characters "nvž enn |||-)" which indicate the series notation. The characters "En=12 100 1-" suggest that there is a summation of terms starting from n = 12, with 100 as the first term and a common difference of 1. The characters "Σπίο 3* 2"-1 ||-) En=2 n" indicate another summation, starting from n = 2, with a pattern involving the operation of multiplying the previous term by 3 and subtracting 1.

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From statement equation, the number of correct answers will result in a passing grade is 9.3

Given that each question on the quiz is worth 8 points.

Also given a score of 75 is a passing grade.

Let the number of correct answered questions be x

Thus the total score of the correct answers is 8x

The statement equation is -

⇒ 8x = 75

⇒ x = 75/8 = 9.3

∴  x ≈ 9

Therefore, from statement equation, the number of correct answers will result in a passing grade is 9.3

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The sample of size 36 provides the strongest evidence to reject H0 in favor of Ha

B) = 27, S = 4.

An testing whether the population mean (μ) is less than 30 based on a sample of size 36. The test statistic commonly used in this scenario is the t-statistic which follows a t-distribution.

The formula for the t-statistic is

t = (X - μ) / (S / √(n))

where:

X is the sample mean

μ is the hypothesized population mean under H0

S is the sample standard deviation

n is the sample size

A smaller t-statistic value indicates stronger evidence against H0 and in favor of Ha.

calculate the t-statistic for each sample result

A) X= 28, S = 6, n = 36

t = (28 - 30) / (6 / √(36)) = -2 / (6/6) = -2

B) X= 27, S = 4, n = 36

t = (27 - 30) / (4 / √(36)) = -3 / (4/6) = -4.5

C) X = 32, S = 2, n = 36

t = (32 - 30) / (2 / √(36)) = 2 / (2/6) = 6

D) X = 26, S = 9, n = 36

t = (26 - 30) / (9 / √(36)) = -4 / (9/6) = -8/3 ≈ -2.67

Comparing the t-statistics,  that option B) with t = -4.5 gives the strongest evidence against H0. A more negative t-value indicates a larger deviation from the hypothesized mean of 30, which supports the alternative hypothesis that the true mean is less than 30.

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It would take approximately 48.12 days for the radioactive iodide taken up and held by the thyroid to decay to 0.01% of the original amount.

To determine the time it takes for the radioactive iodide taken up by the thyroid to decay to 0.01% of the original amount, we can use the concept of radioactive decay and the half-life of iodine-131.

Half-life of iodine-131: 8.02 days

Fraction of iodide taken up by a normal thyroid: 12%

Fraction remaining after decay: 0.01% (or 0.0001) of the original amount

Let's assume we start with 100 units of radioactive iodide taken up by the thyroid. After the first half-life (8.02 days), half of the iodide will decay, so we'll have 50 units remaining. Since a normal thyroid takes up 12%, we multiply the remaining units by 0.12 to find the amount taken up: 50 units × 0.12 = 6 units.

Now, we have 6 units remaining in the thyroid, and we'll repeat the process for subsequent half-lives until we reach 0.01% of the original amount.

1st half-life: 50 units remaining (0.12 taken up)

2nd half-life: 25 units remaining (0.12 taken up)

3rd half-life: 12.5 units remaining (0.12 taken up)

4th half-life: 6.25 units remaining (0.12 taken up)

5th half-life: 3.125 units remaining (0.12 taken up)

6th half-life: 1.5625 units remaining (0.12 taken up)

After 6 half-lives, the remaining iodide in the thyroid is approximately 1.5625 units, which is 0.015625% of the original amount (100 units).

To calculate the time it takes for the radioactive iodide taken up by the thyroid to decay to 0.01% of the original amount, we need to multiply the half-life by the number of half-lives

Time = Half-life × Number of half-lives

= 8.02 days × 6

= 48.12 days

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-- The given question is incomplete, the complete question is

"Iodine-131 is a convenient radioisotope to monitor thyroid activity in humans. It is a beta emitter with a half-life of 8.02 days. The thyroid is the only gland in the body that uses iodine. A person undergoing a test of thyroid activity drinks a solution of NaI, in which only a small fraction of the iodide is radioactive. (c) A normal thyroid will take up about 12% of the ingested iodide in a few hours. How long will it take for the radioactive iodide taken up and held by the thyroid to decay to 0.01% of the original amount?" --

To determine whether f(x) = 8x - 3 and g(x) = (x + 3)/8 are inverses of each other, we need to check whether f(g(x)) = x and g(f(x)) = x for all x in their domains.

First, let's find f(g(x)):

f(g(x)) = f[(x + 3)/8] = 8[(x + 3)/8] - 3 = x + 3 - 3 = x

Therefore, we have shown that f(g(x)) = x for all x in the domain of g.

Next, let's find g(f(x)):

g(f(x)) = g[8x - 3] = [(8x - 3) + 3]/8 = x

Therefore, we have shown that g(f(x)) = x for all x in the domain of f.

Since f(g(x)) = x and g(f(x)) = x for all x in their domains, we can conclude that f and g are inverses of each other.

In other words, g is the inverse of f, and f is the inverse of g.

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Answer:

k = 13

Step-by-step explanation:

If (x-1) is a factor, then f(1) = 0

4*1 + k*1 - 7*1 - 10 = 0

4 + k  - 7 - 10 = 0

      k - 13     = 0

                k = 13

On solving the provided question, we can say that here in this rhombus,

angle 1 is 106 and  angle 2 and 3 are 37 each

A rhombus is an equal-sided quadrilateral in Euclidean plane geometry. The term "equilateral triangle" also refers to a quadrilateral whose sides are of the same length. A parallelogram has a unique variation known as a rhombus. In a rhombus, the opposite sides and angles are parallel and equal. A rhombus's diagonal is split in half by a right angle, and each of its sides is the same length. Rhombic diamonds and diamonds are other names for rhombuses. The length of every side is the same. Diagonals are equal in a rhombus. At a 90° angle, parallel lines split in half. 180 degrees is the sum of adjacent angles.

here in this rhombus,

angle 1 is 106

other two side are 360-106-106 = 148

148/2 = 74

so angle 2 and 3 are 37 each

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Contrast ratio is a measurement that indicates the ability of a monitor to display colors by comparing the brightness of the brightest white to the darkness of the darkest black. The correct option is A.

The contrast ratio is usually expressed as a ratio, such as 1000:1 or 5000:1, with the first number indicating the brightness of the white and the second number indicating the darkness of the black. The higher the contrast ratio, the better the monitor is able to display a wide range of colors and shades. A high contrast ratio is important for tasks such as image and video editing, as it allows for more accurate color representation and contrast in the final product.

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Full Question ;

This indicates the monitor's ability to display colors by comparing the light intensity of the brightest white to the darkest black.

Question 1 options:

A) Contrast ratio

B) Dot Pitch

C) Active display area

D) Resolution

Contrast ratio Indicates a monitor's ability to display colors by comparing the light intensity of the brightest white to the

darkest black. The term you are looking for is "contrast ratio."

The brightness of the brightest shade (white) to the deepest shade (black) that the system is capable of producing is

measured as the contrast ratio (CR), a display system characteristic.

A display's desired feature is a high ratio of contrast. It resembles dynamic range in certain ways.

Ratings provided by various manufacturers of display devices are not always comparable to one another due to

differences in method of measurement, operation, and unstated variables.

This is because there is no official,  standardised way to measure contrast ratio for a system or its parts, nor is there a

standard for defining "Contrast Ratio" that is accepted by any standards organisation.[1] While other designers have

more frequently taken the effect of the environment into account, manufacturers have historically preferred

measurement methods that isolate the gadget from the system.

This is a key aspect of monitor performance, as it directly impacts the overall image quality and color reproduction.

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Answer:

60

Step-by-step explanation:

hope it helps!

The resulting dilated triangle is as attached and it has the coordinates; (2, 4), (4, -2) and (-6, -2).

When a triangle is dilated, it means that each vertex of the figure has it's coordinates multiplied by the scale factor of the dilation. Now, due to the fact that multiplication operation is involved, it means that the original triangle and the dilated triangle are not congruent, as their side lengths are different.

The vertices of the triangle are given as follows:

(1, 2), (2, -1) and (-3, -1).

The dilation has a scale factor of 2, meaning that each coordinate of the vertices will be multiplied by 2 and as such, the coordinates of the dilated triangle are given as follows:

(2, 4), (4, -2) and (-6, -2).

The new triangle is as attached

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Total sales = $450*40= $18000

Commision = 18000*0.025 = $450

--------------------------------------------------------------------------------------

Total earnings = 30000 + commision

comission = 4*175000*0.13 = 91000

Total earnings = 30000+91000 = $121000

The multiplication rule of probability is used to calculate the joint probability of two events.

This rule states that the probability of two events occurring together is equal to the probability of one event occurring, multiplied by the probability of the other event occurring, given that the first event has already occurred.

In mathematical terms, this can be written as P(A and B) = P(A) * P(B|A), where P(A) is the probability of event A occurring, P(B|A) is the probability of event B occurring given that event A has already occurred, and P(A and B) is the joint probability of events A and B occurring together.

The multiplication rule is used to calculate the probability of two events occurring together when the events are dependent on each other.

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Answer:

Step-by-step explanation:

The multiplication rule of probability is used to calculate the joint probability of two events. This rule states that the probability of two events occurring together is equal to the probability of one event occurring, multiplied by the probability of the other event occurring, given that the first event has already occurred.In mathematical terms, this can be written as P(A and B) = P(A) * P(B|A), where P(A) is the probability of event A occurring, P(B|A) is the probability of event B occurring given that event A has already occurred, and P(A and B) is the joint probability of events A and B occurring together. The multiplication rule is used to calculate the probability of two events occurring together when the events are dependent on each other.To know more about multiplication rule click here:brainly.com/question/29524604#SPJ11

Answer:

10

Step-by-step explanation:

Answer:

7 caras, 15 aristas y 10 vértices.

Espero que esto ayude

Answer: parabolic curve

Step-by-step explanation:

Answer: parabolic curve

Step-by-step explanation:

Answer:

B = (1, -4)

Step-by-step explanation:

the midpoint formula is ((x1 + x2) / 2 , ( y1 + y2) / 2)

M = (-6,1) and A = (-7,-3)

if we make A (x1, y1), we can plug in and solve for B (x2, y2)

-7 + x2 = -6

x2 = 1

1 + y2 = -3

y2 = -4

B = (1, -4)

Answer:

17 160 inches

Step-by-step explanation:

Area = width x length

so 165 x 104 which is 17 160

Therefore, the area of the rectangle is 17 160 inches

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The balance in the fund at the end of 23 years, with monthly deposits of $1,150 and a 3.25% annual interest rate, is approximately $449,069.51. The amount of interest earned over the period is approximately $420,630.49.

a. The balance in the fund at the end of the 23-year period, considering a monthly deposit of $1,150 and an annual interest rate of 3.25% compounded annually, is approximately $449,069.51.

To calculate the balance, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where A is the accumulated balance, P is the monthly deposit, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.

In this case, we have monthly deposits, so we need to convert the annual interest rate to a monthly rate:

Monthly interest rate = (1 + 0.0325)^(1/12) - 1 = 0.002683

Using this monthly interest rate, we can calculate the accumulated balance over the 23-year period:

A = 1150 * [(1 + 0.002683)^(12*23) - 1] / 0.002683 = $449,069.51

Therefore, the balance in the fund at the end of the 23-year period is approximately $449,069.51.

b. The amount of interest earned over the 23-year period can be calculated by subtracting the total deposits from the accumulated balance:

Interest earned = (Monthly deposit * Number of months * Number of years) - Accumulated balance

Interest earned = (1150 * 12 * 23) - 449069.51 = $420,630.49

Therefore, the amount of interest earned over the 23-year period is approximately $420,630.49.

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The expression equivalent to\(-4x^2 + 2x - 5(1 + x)\)  is \(4x^2 + 8x + 5.\)

This expression matches the form \(x^2 + x + c,\) where c = 5.

To simplify the given expression \(-4x^2 + 2x - 5(1 + x)\) and make it equivalent to the expression \(x^2 + x + c,\) where c is a constant term, we need to perform some algebraic operations.

First, let's distribute the -5 to the terms inside the parentheses:

\(-4x^2 + 2x - 5 - 5x\)

Next, we can combine like terms:

\(-4x^2 + (2x - 5x) - 5 - 5x\)

Simplifying further:

\(-4x^2 - 3x - 5 - 5x\)

Now, let's rearrange the terms to match the form \(x^2 + x + c:\)

\(-4x^2 - 3x - 5x - 5\)

To make the leading coefficient positive, we can multiply the entire expression by -1:

\(4x^2 + 3x + 5x + 5\)

Now, we can combine the x-terms:

\(4x^2 + 8x + 5\)

So, the expression equivalent to \(-4x^2 + 2x - 5(1 + x)\) is \(4x^2 + 8x + 5.\)This expression matches the form \(x^2 + x + c,\) where c = 5.

It's important to note that the original expression and the equivalent expression have different coefficients and constants, but they represent the same mathematical relationship.

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The level curves of $f(x , y)$ are a family of parabolas that open upwards and have their vertex at the origin.

To sketch the level curves of the function $f(x , y)=y-3x×2$ for $c=-2,0,2$, we need to find the equations of the curves that satisfy $f(x , y) = c$ for each value of $c$.

Substituting $f(x , y)$ into the equation $c = y-3x×2$, we get:

So the level curves are given by the equation $y = 3x×2 + c $, where  $c $takes the values $-2,0,2$.

To sketch the level curves, we can plot the graphs of $y=3x×2+c$ for each value of $c$.

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