Need help ASAP!! Due in 10 minutes. Please help

Answer:

Step-by-step explanation:

\(c^{2}+b^{2} = (4+a)^2 \\c = \sqrt{6^2+4^2}\\ c = \sqrt{36+16}\\ c = \sqrt{52} \\c^2 = 52\\a^2 + 6^2 = b^2\\\\52 + a^2 + 36 = 16 + a^2 + 8a\\ 8a = 72\\a = 9\)

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The image of B(-1, 5) is(-9, 9)

From the question, we have

the translation (x, y) → (x - 8, y + 4)

Substitute (x,y)=(−1,5)

⟹(-1-8, 5 + 4)=(−9,9)

Translation:

Translation is the act of moving a shape or a figure from one location to another. A figure can move in translation up, down, right, left, or anywhere else in the coordinate system. Only the object's position changes during translation; its size stays the same.It can alter its course so that it initially moves left, then turns right, then turns right again, and so on. Every point in a shape, such as a triangle, rectangle, square, line, circle, and so on, will move by five units in the same direction if one point in the shape moves five units forward.

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Answer:

The equation is Y= -200 x -2000

Step-by-step explanation:

They spent 2000$ so that would be -2000 and every month they earn 200 by selling brownies, so just add -2000 every time on the chart under “Money earned” and the last number should be 600 :).

Answer:

Step-by-step explanation:

The equation is Y= -200 x -2000

Step-by-step explanation:

They spent 2000$ so that would be -2000 and every month they earn 200 by selling brownies, so just add -2000 every time on the chart under “Money earned” and the last number should be 600 :).

Answer:

a). y = 3/2x - 3/4    b).-2/3       c).y = -2/3x + 3

Step-by-step explanation:

a). 6x – 4y = 3

-4y = -6x + 3

y = 3/2x - 3/4

 - The slope is 3/2.

b). The slope of a perpendicular line would be the opposite: -2/3

c). y = -2/3x + b

-1 = -2/3(6) + b

-1 = -4 + b

3 = b

y = -2/3x + 3

Answer:

152 sq. ft

Step-by-step explanation:

Area of rectangle:

Area of triangle:

Combine the areas:

I hope this helps!

In a binomial distribution, the number of ways of arranging all trials to be failures is 1. This means that there is only one way to have all trials result in failures, as each trial can only have one possible outcome - a failure.

1. In a binomial distribution, each trial can result in either a success or a failure. Let's assume that there are n trials in total.

2. To arrange all trials to be failures, we need to ensure that no trial results in a success. Therefore, for each trial, there is only one possible outcome - a failure.

3. The number of ways of arranging all trials to be failures can be calculated using combinations. In this case, we need to select 0 successes from n trials. The number of ways to do this is given by the combination formula: C(n, 0) = 1, where C represents the combination.

Therefore, the number of ways of arranging all trials to be failures in a binomial distribution is given by the combination formula, C(n, k) = n! / (k! * (n-k)!).

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The number of ways of arranging all trials to be failures in a binomial distribution is always 1. This is because there is only one way to have no successes in a set of trials.

Regardless of the number of trials or the probability of success, the number of ways of arranging all trials to be failures in a binomial distribution is always 1.

The number of ways of arranging all trials to be failures in a binomial distribution can be determined using the formula for the binomial coefficient.
The binomial coefficient, often denoted as nCk or n choose k, represents the number of ways to choose k items from a set of n items, without considering their order. In the context of a binomial distribution, n represents the total number of trials and k represents the number of successes (in this case, 0).
To find the number of ways of arranging all trials to be failures, we can use the binomial coefficient formula:
nCk = n! / (k!(n-k)!)
In this case, since we want all trials to be failures, k is equal to 0. Thus, the formula simplifies to:
nC0 = n! / (0!(n-0)!) = n! / (0! * n!) = 1

For example, if we have 5 trials and we want all of them to be failures, there is only one possible arrangement: FFFFF, where F represents a failure.

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The value of (f- g)(x) is  2x - 26.

This is a question of subtraction of functions.

Subtraction of functions

The subtraction of function involves the creation of a new function through the addition of two other functions.

Subtraction of one real-valued function from another.

Let h: X → and p: X → be any two real functions, where X ⊆ Real numbers. Then, we can define h - p: X → by h - p x = h(x) – p(x), for all x ∈ X.

Given that:-

f(x) = 2x + 1

g(x) = 27

We have to find the value of (f- g)(x)

We know that,

(f- g)(x) = f(x) - g(x)

Hence, we can write,

(f- g)(x) = 2x + 1 - 27 = 2x - 26

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The slant height of given square pyramid is √45 inch.

A square pyramid is a geometric solid that has a square base and four triangular faces that meet at a common vertex. It belongs to the family of pyramids, which are three-dimensional shapes that have a palled the apex.

With the help of the Pythagoras theorem, we can find out the slant height of pyramid using the formula:

\(s^{2} =H^{2} +(\frac{a}{2} )^{2}\)

Here, height of square pyramid is H.

take an equilateral triangle, where a triangle has all sides are equal.

so, the height of the triangle (h) = \(\sqrt{a^{2} + (\frac{a}{2}) ^{2} }\) = \(\sqrt{6^{2} + (\frac{6}{2}) ^{2} }\) = √45 inch

the height of the square pyramid (H) is:

\(H^{2} + (\frac{a}{2}) ^{2} } = h^{2}\)

\(H^{2} = (\sqrt{45} )^{2} - (\frac{6}{2}) ^{2} }\)

H = 6 inch

The slant height of pyramid using the formula:

\(s^{2} =6^{2} +(\frac{6}{2} )^{2}\) = 36 + 9 = 45

s = √45 inch

Therefore, the slant height of given square pyramid is √45 inch.

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Answer: 2 boxes

Step-by-step explanation:

A=Box A. a=A-65. B=Box B. b=B+65

A=100+20+5

A=125

A-65=125-65

a=60

B=50+10+10+10

B=80

B+65=80+65

b=145

b=A+20

a=B-20

b=100+20+5+10+10 ==> Change in +2 boxes

a=50+10 ==> Change in -2 boxes

Answer:

$8

Step-by-step explanation:

First we have to see how much you are paid per car. To do this we divide the money earned ($20), by the number of cars washed (5).

20÷5=4

This tells us you earn $4 per car. So, to find the amount you would earn buy washing 2 cars, you multiply the money earned per car by 2.

4·2=8

This means you would earn $8.

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To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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Answer:

complete angle is 360°

360 - 39

329°

The utility functions \(U(x, y) = x^2 * y^2\) and V(x, y) = log(x) + log(y) are equivalent in terms of describing the same preferences. Both functions represent the same underlying preferences of an individual, despite their different mathematical forms.

To show that the two utility functions are equivalent, we need to demonstrate that they generate the same ranking of bundles of goods in terms of preferences.

Let's consider two bundles (x1, y1) and (x2, y2), where x and y represent quantities of two goods. We compare the utility values for these bundles in both functions:

For \(U(x, y) = x^2 * y^2\):

\(U(x1, y1) = (x1^2) * (y1^2)\)

\(U(x2, y2) = (x2^2) * (y2^2)\)

For V(x, y) = log(x) + log(y):

V(x1, y1) = log(x1) + log(y1)

V(x2, y2) = log(x2) + log(y2)

Now, let's consider the ratios of the utility values:

\(U(x1, y1) / U(x2, y2) = [(x1^2) * (y1^2)] / [(x2^2) * (y2^2)]\)

V(x1, y1) / V(x2, y2) = [log(x1) + log(y1)] / [log(x2) + log(y2)]

By applying logarithmic properties, we can simplify the ratios:

\(U(x1, y1) / U(x2, y2) = [(x1 / x2)^2] * [(y1 / y2)^2]\)

V(x1, y1) / V(x2, y2) = [(x1 / x2) * (y1 / y2)]

From these simplifications, we can observe that the ratios of the utility values are the same for both functions. This indicates that the preferences represented by the utility functions U(x, y) and V(x, y) are equivalent. Despite the different mathematical forms, both functions capture the same relative rankings of bundles of goods, reflecting the same underlying preferences of the individual.

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The median number of newspapers sold over seven weeks is 223.

The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.

The formula for the median is as follows:

Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)

We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288

The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.

Median = (215 + 231)/2

= 446/2

= 223

In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.

Hence, the median number of newspapers sold over seven weeks is 223.

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Answer:

the answer would be 2.70 dollars I hope this helps you :)

Step-by-step explanation:

The equation, where p represents the jacket's original price, and the equation's solution is A. 1.08(0.8p - 5) = 46.44. The original price of the jacket was $60.00.

An equation is a mathematical statement showing that two mathematical expressions are equivalent or equal.

Equations are depicted using the equation symbol (=).

The total cost paid by Brian = $46.44

The discount on offer = 20%

Amount after the initial discount = 0.8p (1 - 20%)

Additional coupon = $5

Amount after the additional coupon = 0.8p - 5

Total discount = 20% + $5

Sales tax = 8%

Amount paid after the sales tax = (0.8p - 5)(1.08)

Original price = p

p = $60

1.08(0.8p - 5) = 46.44

1.08(0.8 x 60 - 5) = 46.44

1.08(43) = 46.44

46.44 = 46.44

Thus, Option A is correct.

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You can get a number between two numbers by adding the two numbers together and then dividing by two.

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Answer: 10/12 0r 5/6

Step-by-step explanation:

The correct option is A. Write-in adjustments All above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040) are indicated as write-in adjustments.

All above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040) are referred to as write-in adjustments. Line 36 of Schedule 1 is where all write-in adjustments are reported. You have to provide a brief explanation of the adjustment and the corresponding amount for each write-in adjustment.If the IRS has developed an input line for a particular write-in adjustment, taxpayers must use that input line to report the adjustment. 

When writing in adjustments, taxpayers must ensure that the amount they enter is calculated and that they have a reasonable explanation for the adjustment. Taxpayers may be required to provide documentation to support the adjustment if the IRS requests it.

Miscellaneous adjustments and miscellaneous deductions are not used to describe all above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040).

Therefore, options C and D are incorrect. The correct option is A. Write-in adjustments.

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The linear equation will be y=7000+4550n where n=no. of year greater than 1.

What is a linear equation, exactly?

When the greatest power of a variable is 1, the equation is said to be linear. Other term used for it is a one-degree equation. The standard form of a linear equation with one variable is Ax + B = 0. There are three variables in this equation: x, A, and B. A denotes a coefficient. A linear equation with only two variables is commonly written as Ax + By = C. There is three more constants added to the constant C: the variables x and y, the coefficients A and B, and the variables.

and general equation of line is y=mx+c

where m=slope=y2-y1/x2-x1

Now,

Given that no. of lionfish after a year=7000

and increment is 65% every year that means 65/100*7000

=4550 lionfish are added every year after 1 year

so the equation to represent lionfish in n years will be

Y=7000+4550n, where n>1 and n is no. of years.

hence,

          The linear equation will be y=7000+4550n.

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Step-by-step explanation:

t(150) = 400/570-150

=400/420

=20/21

=.95238

Answer:

\(2+i\)

Step-by-step explanation:

Given the expression:

\(\dfrac{4+\sqrt{16-(4)(5)}}{2}\)

To find:

The expression of above complex number in standard form \(a+bi\).

Solution:

First of all, learn the concept of \(i\) (pronounced as iota) which is used to represent the complex numbers. Especially the imaginary part of the complex number is represented by \(i\).

Value of \(i =\sqrt{-1}\).

Now, let us consider the given expression:

\(\dfrac{4+\sqrt{16-(4)(5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-(4\times 5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-20}}{2}\\\Rightarrow \dfrac{4+\sqrt{-4}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)(4)}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)}\sqrt4}{2}\\\Rightarrow \dfrac{4+\sqrt4i}{2} \ \ \ \ \ (\because \sqrt{-1} =i) \\\Rightarrow \dfrac{4+2i}{2}\\\Rightarrow 2+i\)

So, the given expression in standard form is \(2+i\).

Let us compare with standard form \(a+bi\) so we get \(a =2, b =1\).

\(\therefore\) The standard form of

\(\dfrac{4+\sqrt{16-(4)(5)}}{2}\)

is: \(\bold{2+i}\)

Answer:

\(\frac{dy}{dx}=y'=\frac{\sec^2(x-y)(8+x^2)^2+2xy}{(8+x^2)(1+\sec^2(x-y)(8+x^2))}\)

Step-by-step explanation:

So we have the equation:

\(\tan(x-y)=\frac{y}{8+x^2}\)

And we want to find dy/dx.

So, let's take the derivative of both sides:

\(\frac{d}{dx}[\tan(x-y)]=\frac{d}{dx}[\frac{y}{8+x^2}]\)

Let's do each side individually.

Left Side:

We have:

\(\frac{d}{dx}[\tan(x-y)]\)

We can use the chain rule, where:

\((u(v(x))'=u'(v(x))\cdot v'(x)\)

Let u(x) be tan(x). Then v(x) is (x-y). Remember that d/dx(tan(x)) is sec²(x). So:

\(=\sec^2(x-y)\cdot (\frac{d}{dx}[x-y])\)

Differentiate x like normally. Implicitly differentiate for y. This yields:

\(=\sec^2(x-y)(1-y')\)

Distribute:

\(=\sec^2(x-y)-y'\sec^2(x-y)\)

And that is our left side.

Right Side:

We have:

\(\frac{d}{dx}[\frac{y}{8+x^2}]\)

We can use the quotient rule, where:

\(\frac{d}{dx}[f/g]=\frac{f'g-fg'}{g^2}\)

f is y. g is (8+x²). So:

\(=\frac{\frac{d}{dx}[y](8+x^2)-(y)\frac{d}{dx}(8+x^2)}{(8+x^2)^2}\)

Differentiate:

\(=\frac{y'(8+x^2)-2xy}{(8+x^2)^2}\)

And that is our right side.

So, our entire equation is:

\(\sec^2(x-y)-y'\sec^2(x-y)=\frac{y'(8+x^2)-2xy}{(8+x^2)^2}\)

To find dy/dx, we have to solve for y'. Let's multiply both sides by the denominator on the right. So:

\(((8+x^2)^2)\sec^2(x-y)-y'\sec^2(x-y)=\frac{y'(8+x^2)-2xy}{(8+x^2)^2}((8+x^2)^2)\)

The right side cancels. Let's distribute the left:

\(\sec^2(x-y)(8+x^2)^2-y'\sec^2(x-y)(8+x^2)^2=y'(8+x^2)-2xy\)

Now, let's move all the y'-terms to one side. Add our second term from our left equation to the right. So:

\(\sec^2(x-y)(8+x^2)^2=y'(8+x^2)-2xy+y'\sec^2(x-y)(8+x^2)^2\)

Move -2xy to the left. So:

\(\sec^2(x-y)(8+x^2)^2+2xy=y'(8+x^2)+y'\sec^2(x-y)(8+x^2)^2\)

Factor out a y' from the right:

\(\sec^2(x-y)(8+x^2)^2+2xy=y'((8+x^2)+\sec^2(x-y)(8+x^2)^2)\)

Divide. Therefore, dy/dx is:

\(\frac{dy}{dx}=y'=\frac{\sec^2(x-y)(8+x^2)^2+2xy}{(8+x^2)+\sec^2(x-y)(8+x^2)^2}\)

We can factor out a (8+x²) from the denominator. So:

\(\frac{dy}{dx}=y'=\frac{\sec^2(x-y)(8+x^2)^2+2xy}{(8+x^2)(1+\sec^2(x-y)(8+x^2))}\)

And we're done!

Answer:

A. r = -0.93

Step-by-step explanation:

First, if there is a negative correlation, the correlation coefficient will be negative.

This eliminates answer choices C and D, which are positive.

If there is a strong correlation, the correlation coefficient will be closer to 1, or -1 (since the correlation is negative).

Since -0.93 is closer than -0.23 to 1, it has a stronger correlation.

So, the correct answer is A. r = -0.93

Answer:

-1.5

Step-by-step explanation:

y2-y1/y2-x1

The perimeter of the polygon is 76 cm​

Tangents from the same points are of the same lengths.

Using an illustration:

The points are in Magenta and the lengths with same sides have been indicated

Now we can calculate the perimeter of the polygon:

Perimeter = 8cm + 19cm + 19cm + 6cm + 6cm + 5cm + 5cm + 8cm

Perimeter = 76cm

The perimeter of the polygon is 76 cm​

In a sampling distribution of means, the distribution will approximate the normal distribution, the mean of the sampling distribution will equal the mean of the population and the standard deviation of the sampling distribution is based on Central Limit Theorem, option A.

The central limit theorem (CLT) of probability theory states that, under the assumption that all samples are of equal size and regardless of the population's actual distribution shape, the distribution of a sample variable approaches a normal distribution (i.e., a "bell curve") as the sample size increases.

In other words, the central limit theorem (CLT) is a statistical assumption that, given a sufficiently enough sample size from a population with a limited degree of variance, the mean of all sampled variables from the same population will be roughly equal to the mean of the entire population. According to the law of large numbers, these samples also resemble a normal distribution, with their variances almost equaling the variation of the population as the sample size increases.

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Complete question:

In a sampling distribution of means... 1. the distribution will approximate the normal distribution (bell curve). 2. the mean of the sampling distribution will equal the mean of the population 3. the standard deviation of the sampling distribution is called the standard error. This is based on the...

Central Limit Theorem

Standardization of Transformation

Z-Score Distribution Table

Relative Frequency of Probability

After solving, the test statistic value of z is -2.65.

In the given question,

Sample Mean x=264.4

Population standard deviation σ=20

sample size (n) = 25

significance level α=0.05

To test  Jean's claim that Jack's driving distance is less than 275 yards

The null and alternative hypothesis are

H(0): μ=275

H(α): μ<275

Test Statistic Z is:

Z = (x-μ)/(σ/√n)

Z = (264.4-275)/(20/√25)

Z = -10.6/(20/5)

Z = -10.6/4

Z = -2.65

Hence, the test statistic value of z is -2.65.

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The right question is:

Jack tells Jean that his average drive of a golf ball is 275 yards. Jean is skeptical, she thinks he has overstated is driving distance and asks for substantiation. So Jack takes a random sample of 25 of his drives. The mean of this sample is 264.4 yards. His driving distance is known to be normally distributed with a population standard deviation of 20 yards. Test Jean's claim that Jack's driving distance is less than 275 yards at a 0.05 significance level. Calculate the test statistic to 2 decimal places.

The angle measures of the triangles before and after dilation are the same

Given that, we have a triangle that is dilated to form another triangle by a scale factor of n

The dilation transformation is a rigid transformation

This means that it changes the size of a shape after it is applied

However, the shape and the image would be similar shapes and as such would have their angles unchanged

This means that irrespective of the value of the scale factor n, the angle measures would remain the same

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