Which function is the result of translating y = x2 downward by 3 units and to the left by 4 units?.

Answer:

[tex]\huge\boxed{\sf 81x^4 - 16y^4}[/tex]

Step-by-step explanation:

= (3x - 2y)(3x + 2y)(9x² + 4y²)

= [(3x)² - (2y)²] (9x² + 4y²)

= (9x² - 4y²)(9x² + 4y²)

Using the above formula again

= (9x²)² - (4y²)²

[tex]\rule[225]{225}{2}[/tex]

The value of sample proportion is found to be 0.253.

The sample proportion [tex]\hat{p}[/tex] indicates the percentage of people in a sample who exhibit a particular quality or attribute.

Divide the number of individuals (or items) who possess the desired attribute by the overall sample size to obtain the sample proportion.

Now, according to the question;

The 90% confidence interval for a proportion is found to be (0.22,0.28).

The confidence interval for the sample is given as-

Confidence interval = Sample proportion ± Margin of Error

Let [tex]\hat{p}[/tex] be the sample proportion.

The level of significance = 1 - 0.90

                                         = 0.10 (10%)

From z-value table, at a significance level of 5% (two-sided), z has a critical value of 1.645.

90% confidence interval = [tex]\hat{p} \pm 1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex]

Thus,                       0.22 = [tex]\hat{p} - 1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex], and

                               0.28 = [tex]\hat{p} + 1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex]

Covert both equation in the form of [tex]\hat{p}[/tex] and equating to each other.

[tex]\begin{aligned}&0.22+1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=0.28-1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\&1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}+1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=0.28-0.22\\&2 \times 1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=0.06\\&\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=\frac{0.06}{2 \times 1.645}\\&\sqrt{\frac{\hat{\nu}(1-\hat{p})}{n}}=0.02\end{aligned}[/tex]

Take square root,

[tex]\begin{gathered}\frac{\hat{p}(1-\bar{p})}{n}=0.0004 \\n=\frac{\hat{p}(1-\bar{p})}{0.0004}\end{gathered}[/tex]

Substituting the value of 'n' in the receptive equation to get the value of [tex]\begin{aligned}0.22 &=\hat{p}-1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \\0.22 &=\hat{p}-1.645 \times \sqrt{\frac{\hat{p}(1-\hat{p})}{p(1-\hat{p})}} \times 0.0004 \\0.22 &=\hat{p}-1.645 \times \sqrt{0.0004} \\0.22 &=\hat{p}-(1.645 \times 0.02) \\0.22 &=\hat{p}-0.033 \\\hat{p}=& 0.22+0.033=0.253\\\end{aligned}[/tex]

Therefore, the value of sample proportion is 0.253.

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Answer:

10 just find the difference between the two

Step-by-step explanation:

16-6=10

Wangmo have 6 years of teaching experience.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Let Wangmo has x years of experience.

Jigsel has 6 more years of teaching experience than Wangmo.

So, Jigsel has x + 6 years of experience.

According to the question,

the two of them have 16 years of teaching experience altogether.

That means,

we have the equation,

(x+6) + x = 16

2x = 16 -6

2x = 10

x = 10/2

x = 5

Therefore, Wangmo has 6 years of experience.

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Javid travelled by bus for 3 days using a simultaneous equation

What is simultaneous equation?

This refers to equations that are solved together in order to determine the values of unknown variables.

In this case, the total amount spent on daily bus or train can be determined as the fare price multiplied by the number of days

Let  X be the number of days that Javid took bus

total spent on bus=2.50X

Let Y be the number of days that Javid took train

total spent on train=3.50Y

Total spent=2.50X+3.50Y

14.50=2.50X+3.50Y

Secondly, X plus Y gives 5 days

5=X+Y

multiply the second equation by 2.50 and the first by 1

14.50=2.50X+3.50Y

12.50=2.50X+2.50Y

subtract the second equation from first

2=Y

substitute for Y

5=X+Y

5=X+2

X=5-2

X=3

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The number of days that he travelled by bus is; 3 days

Let  x be the number of days that Javid travelled by bus.

Let y be the number of days that Javid travelled by train.

Thus;

Total spent on bus = 2.50x

Total spent on train = 3.50y

Overall total spent is;

2.5x + 3.5y = 14.50   -----(1)

Total number of days is 5 days and so;

x + y = 5    -----(2)

Making x the subject in eq 2 gives us;

x = 5 - y     -----(3)

Put eq 3 in eq 1 to get;

2.5(5 - y) + 3.5y = 14.50

12.5 - 2.5y + 3.5y = 14.5

y = 14.5 - 12.5

y = 2 days

Thus;

x = 5 - 2

x = 3 days

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Answer:

4 square feet

Step-by-step explanation:

Answer:48

Step-by-step explanation:

Answer:

30 terms

Step-by-step explanation:

In the sequence, the value of each term decreases by 2.

38, 36, 34, 32, 30, 28, 26, 24, 22, 20, 18, 16, 14, 12, 10, 8, 6, 4, 2, 0, -2, -4, -6, -8, -10, -12, -14, -16, -18, -20.

1+ (38 - (-20))/2 = 1+ 29 = 30

a) ∠PQR=65° (alternate interior angles theorem)

∠PRQ = 60° (linear pair)

x = 55° (angles in a triangle add to 180°)

b) ∠APQ and ∠PQR are congruent alternate interior angles.

Answer:

Option (4)

Step-by-step explanation:

When x = 0, y = -3.

Also, the slope is

[tex]\frac{-1-(-3)}{1-0}=2[/tex]

So, the equation is y = 2x - 3.

The blanks can be filed by exactly, domain, range, and, f(x) respectively.

While we've got a feature in formulation form, it also includes a simple count to assess the function. For example, the feature f(x)=5−3x2 f ( x ) = 5 − 3 x 2 can be evaluated with the aid of squaring the enter cost, multiplying by means of three, and then subtracting the product from 5.

You write capabilities with the function name observed by way of the established variable, together with f(x), g(x), or maybe h(t) if the function depends upon time. You read the function f(x) as "f of x" and h(t) as "h of t". functions no longer need to be linear. The feature g(x) = -x^2 -3x + 5 is a nonlinear characteristic.

A user is an actual-valued feature on a vector area, usually of functions. as an example, the electricity practical at the unit disk assigns various to any differentiable feature, For the practical to be non-stop, it's miles necessary for the vector space. of capabilities to have the perfect topology.

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Answer: Choice C

Multiply both sides of the bottom equation by 2

Reason:

The y coefficient of the first equation is 2. For the other equation, that y coefficient is -1. We need these coefficients to be equal but opposite. One way to do this is to double everything in the bottom equation

The bottom equation 12x-y = 26 doubles to 24x - 2y = 52

At this point we have the equivalent system of

[tex]\begin{cases}4x+2y = 4\\24x-2y = 52\end{cases}[/tex]

And we can see that we have equal but opposite y coefficients (2 and -2). The y terms add to 0 since 2y + (-2y) = 0y = 0 meaning we've eliminated y.

Step-by-step explanation:

Volume of the right circular cone=31πr2h=31×π×6×6×10=120πcm3

Answer:

Volume =  405π unit^3

which is

1272.35 unit^3 to nearest hundredth.

Step-by-step explanation:

Volume of the given cone

= 1/3 πr^2 h

= 1/3π(6)^2*10

=  120π unit^3.

The cone similar to it with radius 9 will have a volume equal to

(9/6)^3 times the given cone

= 120π * 729/216

= 405π unit^3.

The transformation that produces same image are:

The transformation that produces different image are:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Translation, reflection and rotation are rigid transformation which produces same image while dilation produces similar shapes.

The transformation that produces same image are:

The transformation that produces different image are:

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The 95th percentile for the average number of residents within five miles of each store is 20219.86.

Given mean of 19000 , sample size of 75 stores and standard deviation of 7600.

We have to find the 95th percentile for the average number of residents within five miles of each store in a sample of 75 stores.

We have to first find the margin of error to calculate the upper level of confidence interval.

Margin of error is the difference between the real values and calculated values.

Margin of error=z*σ/[tex]\sqrt{n}[/tex]

where z is the critical value of z at given confidence level.

σ is standard deviation

n is the sample size.

z value at 95% confidence level is 1.39. (one tailed)

Put the values in the formula to get margin of error.

Margin of error=1.39*7600/[tex]\sqrt{75}[/tex]

=10564/8.66

=1219.86

Upper level=19000+1219.86

=20219.86

Hence the 95th percentile is 20219.86 for the average number of residents within five miles of each store in a sample of 75 stores.

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The function type in the graph is a decreasing function.

It should be noted that a function is simply used to illustrate the relationship between variables.

In this case, the function type in the graph is a decreasing function. As the number in X axis increases, the value in the y axis is decreased.

This illustrates a decreasing function.

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Converting 33 cubic feet to cubic centimeters would give 934454. 4 cubic centimeters

It is important to note that conversion of units requires the appropriate equivalent values

For

I cubic foot is equivalent to 28316. 8 cubic centimeters

But we were given

33 cubic feet for the conversion

If 1 cubic foot = 28316. 8 cubic centimeters

Then 33 cubic feet = x

Cross multiply, we get

x = 28316. 8 × 33

x = 934454. 4 cubic centimeters

Thus, converting 33 cubic feet to cubic centimeters would give 934454. 4 cubic centimeters

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In the case above, the option that one need to include in your answer is to Find a common denominator.

When the numerator and denominator of a fraction are known to not have common factor other than 1, then a person can say that the fraction in its simple form or say its in its lowest term.

Since there is a common numerator and the common denominator will be between 10 and 20. Since 10 is less that than 20, the common denominator will be 20 as both can divide it.

Hence, In the case above, the option that one need to include in your answer is to Find a common denominator.

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Answer:

D

Step-by-step explanation:

Range is the 'y' values a graph can have

  you can see that the 'y' values can be anythig from - inf to + 2

The range of the function is [2, -∞].

A function has an input and an output.

A function can be one-to-one or onto-one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

From the graph,

We see that the function line y values are from 2 to negative infinity.

This means,

The range is [2, -∞].

Thus,

The range of the function is [2, -∞].

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The system is:

y < x

y ≥  2

So we conclude that the correct option is D.

On the graph, we can see two lines. One with a positive slope that is dashed.

And a solid line that is constant of the form y = c.

We can see that the shaded region is above the constant line and below the line with a positive slope, so the system of inequalities is of the form:

The only option that has this form is option d:

y < x

y ≥  2

So we conclude that the correct option is D.

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From Longman Dictionary of Contemporary English opens an account to start an account at a bank or other financial organization by putting money into it Mary was in the bank to ask about opening a current account.

Step 1: Visit the official website of the bank in which you wish to open an account. Step 2: Fill in the application form online along with a digital copy of address proof, identity proof, age proof, income/employment proof, and photographs.

You need to be at least 18 years old to open an account. However, you can open a joint account as a minor with a parent or legal guardian as an account co-owner. Some banks do offer accounts tailored for minors.

Please check the attached file for a complete answer.

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Both functions decrease at (-1, 2)

The complete question is added as an attachment

The polynomial function f(x) is represented by the graph.

From the graph, the polynomial function decreases at (-2, 2)

The absolute function is given as;

f(x) = =5|x + 1| + 10

The vertex of the above function is

Vertex = (-1, 10)

Because a is negative (a= -5), the vertex is a maximum.

This means that the function decreases at (-1, ∞)

So, we have

(-2, 2) and (-1, ∞)

Combine both intervals

(-1, 2)

This means that both functions decrease at (-1, 2)

See attachment 2 for the number line that represents the interval where both functions are decreasing

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Answer:

C.  All real numbers.

Step-by-step explanation:

The domain is the set of all x values that are used by points on the graph.  This is a sine wave, and we assume it extends infinitely far to the left and right.  Even without that assumption, you can eliminate the other answers.

A. This describes the numbers on the x-axis between 0 and 5, inclusive.  But the graph includes many more points with x-coordinates beyond that interval.

B. The same sort of thing: the graph extends well beyond the interval of x values between -5 and 5, inclusive.

D.  This would mean the graph has only points with positive x-coordinates, but there are many with negative (or 0) x-coordinates.

Answer:

v=6

Step-by-step explanation:

v²=u²+2as

v²=12²+2(-3)(18)

v²=144-108

v²=30

v=6

The density of proton exists [tex]1.7*10^{-24}/2 * 10^{-26}cm^3[/tex].

Given:

[tex]$r = 2 * 10^{-26[/tex] units.

[tex]mass = 1.7 * 10^{-24[/tex] grams

Formula, V [tex]= 4/3 * \pi * r^3[/tex]

Density = mass / Velocity

Put the givens into the formula.

Find the value for [tex]r^3[/tex]

[tex]V = (4/3) 3.14 * (1 * 10^{-13})^3[/tex]

To estimate the volume indicate divide by 3  

[tex]V = (4/3) 3.14 * 1 * 10^{-39[/tex]

[tex]V = 1.256 10^{-38/3[/tex]

[tex]V = 4.1867 * 10^{-39[/tex]

Density = mass / velocity

Density = [tex]1.7*10^{-24}/2 * 10^{-26}cm^3[/tex].

Therefore, the density of proton exists [tex]1.7*10^{-24}/2 * 10^{-26}cm^3[/tex].

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Answer:

sorry ❣️ bro you halp me

Answer:

L' (-1, 1)

M' (1, 2)

N' (1, -1)

There is no association between the chicken preferences and rice preferences. Option C

There is an association between two variables when they both decrease or increase simultaneously. In many cases, the association between the variables can be shown using the correlation coefficient when the relationship is plotted on Cartesian coordinates.

If we look at the table, we can see that there is no association between the chicken preferences and rice preferences because because the proportion of chicken and rice eaters to all chicken eaters is lower than all rice eaters to all eaters; and because the proportion of chicken and rice eaters to all rice eaters is lower than all chicken eaters to all eaters.

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Answer:

Corresponding parts of similar triangles are congruent.

Step-by-step explanation: