Which graph shows the same end behavior as the graph of f(x) = 2x6 – 2x2 – 5?

The solution to the given fractional equation is x = -4

32/x - 8 = 24/x - 10

collect like terms

32/x - 24/x = -10 + 8

(32-24) / x = -2

8/x = -2

cross product

8 = -2 × x

8 = -2x

divide both sides by -2

x = 8/-2

x = -4

Check:

32/x - 8 = 24/x - 10

32/-4 - 8 = 24/-4 - 10

-8 - 8 = -6 - 10

-16 = -16

Therefore, the equation has the solution x = -4

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we do not have convincing statistical evidence that women pay more than men for the same transmission repair

To determine whether the data provide convincing statistical evidence that women pay more than men we do not have convincing statistical evidence that women pay more than men for the same transmission repair for the same transmission repair, we can perform a hypothesis test.

Null hypothesis: The mean repair cost for women is the same as the mean repair cost for men.

Alternative hypothesis: The mean repair cost for women is greater than the mean repair cost for men.

We can use a two-sample t-test for the difference in means, assuming equal variances.

The test statistic is given by:

t = (xbar1 - xbar2) / (s_p * sqrt(1/n1 + 1/n2))

where xbar1 and xbar2 are the sample means, s_p is the pooled standard deviation, and n1 and n2 are the sample sizes.

The degrees of freedom is given by:

df = n1 + n2 - 2

Using the data given, we have:

xbar = 2542.86, xbar2 = 2469.29

s1 = 691.27, s2 = 599.77

n1 = n2 = 7

First, we can calculate the pooled standard deviation:

s_p = sqrt(((n1-1)*s1^2 + (n2-1)*s2^2) / (n1 + n2 - 2))

s_p = sqrt(((6)*691.27^2 + (6)*599.77^2) / (7 + 7 - 2))

s_p = 644.47

Then, we can calculate the t-statistic:

t = (xbar 1 1 - xbar2) / (s_p * sqrt(1/n1 + 1/n2))

t = (2542.86 - 2469.29) / (644.47 * sqrt(1/7 + 1/7))

t = 0.97

Using a t-distribution table with df = 12 and a significance level of 0.05, the critical value for a one-tailed test is 1.7823. Since our t-statistic is less than the critical value, we fail to reject the null hypothesis.

Therefore, we do not have convincing statistical evidence that women pay more than men for the same transmission repair

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we conclude that the height of the triangle measures 12 centimeters.

We know that the area of a triangle is given by the formula:

A = b*h/2

We can solve that equation for h, so we get:

h = 2*A/b

Now, we know that the area is 90cm^2, and the base measures 15 cm, replacing these two values we can get:

h = 2*(90cm^2)/15cm =  12cm

In this way, we conclude that the height of the triangle measures 12 centimeters.

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What is 1100112 ternary in decimal? 1100112 from ternary to decimal is 986. Here we show you how to write 11001123 in decimal and how to convert 1100112 from base-3 to base-10.

Number:

11001123 in decimal

986

^10

Answer:

986.10

Step-by-step explanation:

To convert ternary number 1100112 to decimal, follow these two steps:

Start from one's place in 1100112 : multiply ones place with 3^0, tens place with 3^1, hundreds place with 3^2 and so on from right to left

Add all the product we got from step 1 to get the decimal equivalent of 1100112.

Using the above steps, here is the work involved in the solution for converting 1100112 to decimal number (Don't forget that we start from ones place to so on...)

Decimal equivalent of "2" = 2 × 3^0 = 2

Decimal equivalent of "1" = 1 × 3^1 = 3

Decimal equivalent of "1" = 1 × 3^2 = 9

Decimal equivalent of "0" = 0 × 3^3 = 0

Decimal equivalent of "0" = 0 × 3^4 = 0

Decimal equivalent of "1" = 1 × 3^5 = 243

Decimal equivalent of "1" = 1 × 3^6 = 729

Decimal equivalent of "1100112" = 72924300932

1100112 = 986.10

Here is the final answer, The ternary number 1100112 converted to decimal is therefore equal to:

986.10

1. f(x) - cubic function -- polynomial , g(x) - linear function

similar

The function f(x) = x³+x²-3x+4 is a polynomial function and g(x) = 2ˣ-4 is an exponential function.

Domain: -∞ < x < ∞

Range: -∞ < y < ∞

y-intercept = 4

x - intercepts = -2.68

Function g(x)

Domain: x > 0

Range: -4 < y < ∞

y - intercept = -4

x - intercepts = none

By comparing the key features above, we can conclude that the common features in both functions are their range

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In the analysis of variance procedure (ANOVA), "factor" refers to the independent variable(b).

In the analysis of variance procedure (ANOVA), "factor" refers to the independent variable. ANOVA is used to determine if there is a significant difference between the means of two or more groups, and the factor is the variable being studied that is believed to have an effect on the outcome. Variance is a measure of the variability or spread of the data, and ANOVA compares the variance between groups to the variance within groups to determine if there is a significant difference. The different levels of a treatment are also referred to as levels of the factor.

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Answer:

2x±44

Step-by-step explanation:

-2[x-7]=-2x±14 because negative ×negative=positive

±5[3x±6]=15x±30

-3[5x±10]=-15x±30

2x±14±15x-15x±30

2x±15x-15x=2x

14±30=44

2x±44=2x±44

Answer:

The area of the shaded portion is 123 cm^2

Step-by-step explanation:

Here, we want to find the area of the shaded portion

To find this, we subtract the area of the smaller inner rectangle from that of the outside bigger one

Mathematically, the area of a rectangle at any point in time is length * width

For the bigger one, we have;16 * 9 = 144 cm^2

For the smaller inner one, we have ;3 * 7 = 21 cm^2

The area of the shaded portion which is the difference is;

144-21 = 123 cm^2

Answer:

Here’s the answer! Best of luck.

Step-by-step explanation:

i) The multiplication of (3.1x\(10^0\)) and (1.5x10) results in 4.65x\(10^1\).

j) The division of (3.1x10) by (1.5x\(10^{-1\)) equals 2.07x\(10^1\).

i) To multiply numbers in scientific notation, we multiply the coefficients (3.1 and 1.5) and add the exponents (0 and 1) together. In this case, 3.1 multiplied by 1.5 gives us 4.65. Adding the exponents, \(10^0\) multiplied by \(10^1\) results in \(10^1\). Therefore, the final result is 4.65x\(10^1\).

j) When dividing numbers in scientific notation, we divide the coefficients (3.1 and 1.5) and subtract the exponents (1 and -1) from each other. Dividing 3.1 by 1.5 gives us approximately 2.07. Subtracting the exponents, \(10^1\)divided by \(10^{-1\) is equivalent to \(10^{(1-(-1))}\) which simplifies to 10^2. Hence, the result is 2.07x\(10^1\).

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The statement "A triangle can be formed with side lengths 3 in, 5 in, and 9 in" is false.

The a + b ≥ c symbol represents the Euclidean geometry theorem that the sum of any two triangle sides is larger than or equal to the third side. The basic tenet of the theorem is that a straight line connects any two locations.

To check if a triangle can be formed with side lengths 3 in, 5 in, and 9 in, we need to apply the triangle inequality theorem, which states that:

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Let's check if this condition is satisfied for the given side lengths:

3 in + 5 in = 8 in, which is greater than 9 in. True

3 in + 9 in = 12 in, which is not greater than 5 in. false

5 in + 9 in = 14 in, which is greater than 3 in.True

Since the second condition is not satisfied, we cannot form a triangle with side lengths 3 in, 5 in, and 9 in. Therefore, the statement "A triangle can be formed with side lengths 3 in, 5 in, and 9 in" is false.

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The statement that is true about this function is C. As x approaches positive infinity, h(t) approaches positive infinity

Given that we have:

Therefore, when x approaches to negative infinity,

\(\lim_{x \to \infty} h(x)\)

= 2^(-∞-5)

= 2^(-∞)

= 1/2^∞

=0

Also, as x approaches negative infinity, function h(x) approaches 0.

Then when x approaches to positive infinity,

\(\lim_{x \to \infty} h(x)\)

2^(∞-5)

= 2^(∞)

= ∞

Therefore, As x approaches positive Infinity, h(x) approaches positive infinity.

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1/64 fraction is equal to 0.015625 in decimal form.

To change the fraction 1/64 to a decimal, we need to perform division.

1 divided by 64 can be written as:

0.015625

----------

64 | 1.000000

   0

  10

   0

The result of the division is 0.015625. This means that 1/64 is equal to 0.015625 in decimal form.

Note that in this case, we carried the division out to six decimal places, but the question specified that we should carry it out to three decimal places. In that case, we would round the answer to 0.016.

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Answer:

I never had this question but trying to help according to formula

let b=12

let h=3

According to given formula,

a=bh÷2

a=(12×3)÷2

a=36÷2

a=28in2

Answer:

Step-by-step explanation:

Plot 213, −56, and −312 on the number line.

We have to find which option results in more total interest. For the first option, the simple interest is given by: I = P × r × t Where,

P = Principal amount,

r = rate of interest,

t = time in years.

The simple interest that James will earn on the investment is given by:

I₁ = P × r × t

= $12,000 × 0.072 × 30

= $25,920

For the second option, the interest is compounded continuously. The formula for calculating the amount with continuously compounded interest is given by:

A = Pert Where,

P = Principal amount,

r = rate of interest,

t = time in years.

The amount that James will earn on the investment is given by:

= $49,870.83

Total interest in the second case is given by:

A - P = $49,870.83 - $12,000

= $37,870.83

James will earn more interest in the second case where he invests $12,000 at 6.8% with interest compounded continuously for 30 years. He will earn a total interest of $37,870.83.

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Answer:

Step-by-step explanation:

From the question, we are informed that investors buy a studio apartment for $180,000 and that they have a down payment of $36,000. The percentage of the down payment on the purchase price will be:

= 36000/180000 × 100

= 1/5 × 100

= 20%

What percent of the purchase price would a ​$9,000 down payment​ be?

This will be:

= (9000 / 180000) × 100

= 0.05 × 100

= 5%

Answer:

20%

5%

Step-by-step explanation:

Price of a studio apartment = $180,000

Down payment = $36,000

Their down payment is what percent of the purchase​ price?

= Down payment / Price of a studio apartment × 100

= $36,000 / $180,000 × 100

= 0.2 × 100

= 20%

What percent of the purchase price would a ​$9,000 down payment​ be?

= Down payment / Price of a studio apartment × 100

= $9,000 / $180,000 × 100

= 0.05 × 100

= 5%

Answer:

it has one solution

Step-by-step explanation:

Answer:

It’s 15

Step-by-step explanation:

hope it helped :)

Answer:

The slope of a line is a measure of its steepness or incline. It is calculated by dividing the difference in the y-coordinates of two points on the line by the difference in their x-coordinates. In the case of the line (5,-9) and (5,2), the difference in the y-coordinates is -9 - 2 = -11 and the difference in the x-coordinates is 5 - 5 = 0. Since division by 0 is undefined, the slope of the line (5,-9) and (5,2) is undefined.

In general, when the x-coordinates of two points on a line are the same, the line is vertical and has no slope. This means that the line (5,-9) and (5,2) is a vertical line and has no slope.

The slope of a line is calculated as the rise over the run, which is the difference in the y-coordinates divided by the difference in the x-coordinates. In this case, the line has the same x-coordinate for both points, so the rise and run are both zero, and the slope is undefined.

The calculated measure of angle y is 60 degrees

from the question, we have the following parameters that can be used in our computation:

The figure

From the figure, we can see that

The shape can be divided into two triangles such that

Each triangle is an equilateral triangle

The measure of an angle in an equilateral triangle is 60 degrees

using the above as a guide, we have the following:

y = 60

Hence, the value of y is 60 degrees

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Answer:

it is a

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Slope: 3

y-intercept: (0,1)

The confidence interval for this sample at α = 0.05 is approximately $57,510.36 to $70,489.64.

To calculate the confidence interval for a sample of 20 individuals with a mean of $64,000 and a standard deviation of $14,327 at α = 0.05, follow these steps:

1. Identify the sample size (n), mean (x), and standard deviation (s):
  n = 20, x = $64,000, s = $14,327

2. Determine the α level:
  α = 0.05

3. Find the t-score for the given α level and sample size (n-1) degrees of freedom using a t-distribution table or calculator:

For α = 0.05 and degrees of freedom (df) = 19, the t-score is approximately 2.093.

4. Calculate the margin of error (ME) using the t-score, standard deviation, and sample size:
  ME = t-score × (s / √n)
  ME = 2.093 × ($14,327 / √20)
  ME ≈ $6,489.64

5. Calculate the confidence interval by adding and subtracting the margin of error from the mean:
  Lower limit = x - ME = $64,000 - $6,489.64 ≈ $57,510.36
  Upper limit = x + ME = $64,000 + $6,489.64 ≈ $70,489.64

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Answer:

y=3/4x+3

Step-by-step explanation:

Answer:

coefficient of 1st, 2nd, 3rd and 4th term are 1, 3,3,1 respectively. (required coefficient)

Step-by-step explanation:

The volume of the resulting solid is approximately 904.78 cubic units.

To find the volume of the resulting solid, we can subtract the volume of the smaller ball (the hole) from the volume of the larger ball. The volume of a sphere is given by the formula:

where V is the volume, r is the radius of the sphere, and π is approximately equal to 3.14.

Using this formula, we can find the volume of the larger ball:

We can then find the volume of the smaller ball (the hole):

Subtracting the volume of the smaller ball from the volume of the larger ball gives us the volume of the resulting solid: 4188.79 cubic units - 113.04 cubic units = approximately 904.78 cubic units. This is the volume of the resulting solid.

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Answer:

The GCF of 8 and 36 is 4.

The GCF of 72 and 18 is 18.

The GCF of 14, 28, and 49 is 7.

Step-by-step explanation:

Answer:

  p(x) = -x⁵ -4x⁴ +9x³ +40x² +4x -48

Step-by-step explanation:

You want a polynomial of 5th degree with x-intercept (3, 0), point (-2, 0) a local maximum, and a limit as x→-∞ of p(x)→∞.

The requirements placed on the polynomial mean that the graph will cross the x-axis at x=3 and will touch the x-axis from below at x=-2. The touch from below means the zero at x=-2 must have even multiplicity. That multiplicity can only be 2 in order for the other requirements to be met.

Since the polynomial is positive for large negative x-values, the leading coefficient must be negative, and there must be a zero that is less than -2.

So far, we have four (4) zeros accounted for, but we need 5. The 5th zero must be greater than -2.

For the polynomial shown in the graph, we have elected to have zeros at x=-4 and x=1. Each zero at x=q means (x-q) is a factor. The multiplicity of the zero is the exponent of the factor.

This makes the factored form be ...

  p(x) = -(x +4)(x +2)²(x -1)(x -3)

The expanded form is ...

  p(x) = -x⁵ -4x⁴ +9x³ +40x² +4x -48