What is the transformation of A(6, 4) when dilated by a scale factor of ½, using the origin as the center of dilation?

The land area of North America is 9,455,941.77 square miles.

Percentage can be described as the fraction of an amount expressed as a number out of hundred. Percentage is a measure of frequency. The sign used to represent percentages is %.

In order to determine the land area of North America, multiply the total land area of the Earth by the percentage of the land area of North America.

Land area of North America = percentage of the land area of North America x total land area

16.5% x  57,308,738

0.165 x 57,308,738 = 9,455,941.77 square miles

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Solution:

The function is given below as

To figure out

To do this , we will substitute x= 2x-1 in g(x)

Hence,

The composte function will be

Step 2:

To figure out the domain,

In mathematics, the domain of a function is the set of inputs accepted by the function.

Hence,

The domain of the function is

Answer:

Adults =58, Students=92

Step-by-step explanation:

Answer:

the formula to find the amount for number 7 is

A=p(1+r/n) raised to power n ,e.g

A=4000(1+4/1)raised to power 1

A=4000(1+4) raised to power 1

A=4000(5)

A=20,000.

to find interest

I=PRT/100

I=4000×4×1/100

I=#160

Answer:

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

Taking the inverse tangent (arctan) of the given ratio 7/9.

Use a calculator or trigonometric table to find:

The approximate value of θ is 37.9°.

Answer:

s  is \(s =15.3\)

Step-by-step explanation:

From the question we are told that

    The data is  

Generally the mean is evaluated as

           \(\= x = \frac{84+ 85+ 83+​ 63+ 61+​100+ 98}{7}\)

           \(\= x = 82\)

The standard deviation is mathematically represented as

    \(s = \frac{\sum (x- \= x)^2}{n-1}\)

\(s =\sqrt{ \frac{ (84-82)^2+​ (85-82)^2 +( 83-82 )^2 +(​63-82) ^2 + ( 61-82)^2,+ (100-82)^2 + (98-82)^2}{7-1}}\)

 \(s =15.3\)

Answer: 2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) ÷ \(a^{n}\) = \(a^{(m-n)}\) , then

\(6^{9}\) ÷ 6³ = \(6^{(9-3)}\) = \(6^{6}\)

\(\begin{cases} v=5i-7j\\\\ w=3i+2j \end{cases}\qquad \begin{cases} < \stackrel{a}{5}~~,~~\stackrel{b}{-7} > \\\\ < \stackrel{a}{3}~~,~~\stackrel{b}{2} > \end{cases}\qquad \qquad \stackrel{magnitude}{\sqrt{a^2 + b^2}} \\\\[-0.35em] ~\dotfill\\\\ ||v||~~ - ~~||w||\implies \sqrt{5^2+(-7)^2}~~ - ~~\sqrt{3^2 + 2^2}\implies \sqrt{74}-\sqrt{13} ~~ \approx ~~ 5\)

Answer:

n,mjnj,nj,n

Step-by-step explanation:

m, ,m,mn

Khalid can order 8 flower bulbs for $ 20.

Given that Khalid purchases flower bulbs from a catalog for 2 $ each, plus a 4 $ shipping charge for the entire order, and he spends $ 20 on flower bulbs, to determine the number of Khalid can order bulbs the following calculation must be performed:

Therefore, Khalid can order 8 flower bulbs for $ 20.

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Answer:

the answer to the problem is b

Answer:

Therefore, the correct statements are A, B, and E.

Explanation:

Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.

To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀

.

- The component form of −4⇀

is obtained by multiplying each component of ⇀

by –4. Therefore, −4⇀

= ⟨–8, –12⟩. This means that statement A is true.

- The magnitude of −4⇀

is obtained by multiplying the magnitude of ⇀

by 4. The magnitude of ⇀

is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀

is 4√13. This means that statement B is true.

- The direction of −4⇀

is opposite to the direction of ⇀

because the scalar –4 is negative. This means that statement C is false.

- The vector −4⇀

is in the third quadrant because its components are both negative. This means that statement D is false.

- The direction of −4⇀

is 180° greater than the inverse tangent of its components because it is opposite to ⇀

. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀

is 180° + tan^(-1)(3/2). This means that statement E is true.

Therefore, the correct statements are A, B, and E.

Answer:

There's 2 red jacks in a deck and 2 black queens in a deck so you have a total of 4 possible cards out of a 52 total in a deck so that would be 4/52 or 1/13 of the time. Statistically 7.6% of the time you will get a red jack or a black queen.

Step-by-step explanation:

In a parallelogram the sum of two adjacent angles is equal to 180º.

Then, the sum of given angles is equal to 180º:

Solve x:

Using the t-distribution, it is found that since the test statistic is less than the critical value for the left tailed test, there is not enough evidence to show that the patients with schizophrenia have less TBV on average than a  patient that is considered normal.

At the null hypothesis, we test if patients with schizophrenia do not have less TBV on average than a  patient that is considered normal, that is, the subtraction is not negative, hence:

\(H_0: \mu_S - \mu_N \geq 0\)

At the alternative hypothesis, we test if they have less, that is, if the subtraction is negative, hence:

\(H_1: \mu_S - \mu_N < 0\)

Regarding each sample, the mean and standard deviation are found using a calculator.

\(\mu_N = 1463339.2, s_N = 125458.28 , n_N = 32\)

\(\mu_S = 1445132.3, s_S = 171355.8, n_S = 30\)

We have the standard deviation for each sample, hence, the t-distribution will be used.

The standard errors are given by:

\(Se_N = \frac{125458.28}{\sqrt{32}} = 22178.1\)

\(Se_S = \frac{171355.8}{\sqrt{30}} = 31285.1\)

The distribution of the difference has mean and standard error given by:

\(\overline{x} = \mu_S - \mu_N = 1445132.3 - 1463339.2 = -18206.9 \)

\(Se = \sqrt{Se_N^2 + Se_S^2} = \sqrt{22178.1^2 + 31285.1^2} = 38348.7\)

The test statistic is given by:

\(t = \frac{\overline{x} - \mu}{Se}\)

In which \(\mu\) is the value tested at the hypothesis.

Hence:

\(t = \frac{\overline{x} - \mu}{Se}\)

\(t = \frac{-18206.9 - 0}{38348.7}\)

\(t = -0.47\)

The critical value for a left-tailed test, as we are testing if the mean is less than a value, with a significance level of 0.1 and 32 + 30 - 2 = 60 df is \(t^{\ast} = 2\)

Since the test statistic is less than the critical value for the left tailed test, there is not enough evidence to show that the patients with schizophrenia have less TBV on average than a  patient that is considered normal.

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Answer:

The missing number is 30

Step-by-step explanation:

When you look at the chart and see that it starts at 6 and then goes to 12,18, and 24 you are simply adding 6 each time to get the next number.

The expression a² - 16a - 12 when factored is a(a - 16) - 12

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

a² - 16a - 12

The above expression is a quadratic expression

It cannot be completely factored

This is because the roots of the expressions are irrational numbers

To partially factor the expression, we have

a² - 16a - 12 = a(a - 16) - 12

Hence, the expression a² - 16a - 12 when factored is a(a - 16) - 12

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Answer:

jsjajsjhshssh

\(y = 5x - 1\)

hwshhsch

Answer:

- 5 -1

&$&$,$;$^$^$=&=£$£

Answer:

\(x = 2\)

Step-by-step explanation:

Given

\(b(x) = -1\)

See attachment for graph

Required

Find x

To do this, we simply read the coordinates of the attached graph.

When \(b(x) = -1\)

\(x = 2\)

i.e.

\((x,b(x)) = (2,-1)\)

Answer:

3

Step-by-step explanation:

100+100+100= 3 hundreds

Answer:

a pendulum consists of a mass hanging at the end of a string which is 18 cm long. find the vertical height through which the mass rises and falls as the pendulum swings through 30°on each side of the vertical.

Answer:

1. P = IRT

T = P/IR

2. A = 2(L + W)

L + W = A/2

W = A/2 - L

3. y = 5x - 6

x = (y +6)/5

4. 2x - 3y = 8

y = (2x - 8)/3

5. (x+y)/3 = 5

x = 5×3 - y

x = 15 - y

6. y = mx + b

b = y - mx

7. ax + by = c

by = c - ax

y = (c - ax)/b

Hope it helps!

Answer:

-4

Step-by-step explanation:

So we are given the expression: | y - x | + y - 1, and we have our values for (x,y): (-3,-6).

So, we can just start plugging things in and simplifying, so:

| -6 + 3 | - 6 - 1 = | -3 | -7

                       = 3 - 7

                       = -4

Answer:

The point estimate for the proportion of cell phone owners aged 18-24 who have an Android phone is 0.4137.

Step-by-step explanation:

The point estimate is the sample proportion.

Sample proportion:

103 out of 249, so:

\(p = \frac{103}{249} = 0.4137\)

The point estimate for the proportion of cell phone owners aged 18-24 who have an Android phone is 0.4137.

The functions g(x) = x² - 4x + 3 and f(x) = x² - 4x are:

The functions have the same range.

The functions have the same domain.

The functions have the same x-intercepts.

Let's analyze the given functions g(x) = x² - 4x + 3 and f(x) = x² - 4x and determine which statements about them are true.

Here are the options:

The functions have the same graph.

The functions have the same range.

The functions have the same domain.

The functions have the same vertex.

The functions have the same y-intercept.

The functions have the same x-intercepts.

The functions have the same graph:

This statement is false. While both functions are quadratic functions, their additional terms make them different. g(x) has an additional constant term (+3) compared to f(x).

Their graphs will be different, with g(x) being shifted upward by 3 units compared to f(x).

The functions have the same range:

This statement is true.

Both functions are quadratic functions, and their range will be the same. The range of a quadratic function is either all real numbers (if the parabola opens upward) or the set of real numbers greater than or equal to (or less than or equal to) the vertex of the parabola.

The functions have the same domain:

This statement is true.

The domain of both functions, unless restricted by any other factors, is all real numbers.

Quadratic functions have a domain of (-∞, ∞).

The functions have the same vertex:

This statement is false.

The vertex of a quadratic function is determined by the values of "a," "b," and "c" in the general form of the quadratic function (ax^2 + bx + c).

Since g(x) has an additional constant term, its vertex will be different from the vertex of f(x).

The functions have the same y-intercept:

This statement is false.

The y-intercept of a function is the value of y when x = 0.

For f(x), when x = 0, we have f(0) = (0)² - 4(0) = 0.

For g(x), when x = 0, we have g(0) = (0)² - 4(0) + 3

= 3.

Their y-intercepts are different.

The functions have the same x-intercepts:

This statement is true.

To find the x-intercepts of both functions, we set y (or f(x) and g(x)) equal to zero and solve for x.

The quadratic equation x² - 4x + 3 = 0 can be factored as (x - 1)(x - 3) = 0, giving x = 1 and x = 3 as the x-intercepts.

Both functions have the same x-intercepts.

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The probability that a person who tests positive actually has the disease is 0.012%

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

The probability that a person who tests positive actually has the disease is represented as

Probability = Incidence rate * False positive rate

Substitute the known values in the above equation, so, we have the following representation

Probability = 0.3% * 4%

Evaluate the products

Probability = 0.012%

Hence, the probability is 0.012%

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Answer:

Step-by-step explanation:

This graph is an upside down exponential graph moved up one unit. The growth factor is 3; therefore, the equation for this graph is

\(f(x)=-(3)^x+1\)

Answer:

  f(x) = -(3^x) +3

Step-by-step explanation:

You want an equation for the curve shown in the graph.

A function that has a horizontal asymptote and rapidly changes is often an exponential function.

The location of the horizontal asymptote tells you the vertical translation. Here, the function is translated upward 3 units.

The direction of the rapid change tells you the sign of the leading coefficient. Here, it is negative.

The location of the point 1 unit different from the horizontal asymptote tells you the horizontal translation. Here, the x-value of (0, 2) is 0, so there is no horizontal translation.

The point 1 horizontal unit away from the point just found tells you the base of the exponent. Here, the point (1, 0) is 3 units different from the horizontal asymptote, so the base of the exponent is 3.

Putting these values together, we have ...

  f(x) = -(3^x) +3

__

Additional comment

The attached graph confirms this equation.

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The volume of the squared pyramid is 9 cubic yards, so the correct option is D.

For a square pyramid of sidelength S (S is the sidelength of the square base), the volume is given by the formula:

V = (1/3)*S^3

Here we want to find the volume if S = 3 yards, so we just need to replace that in the formula above to get the volume of the sculpture, we will get:

V = (1/3)*(3 yd)^3

V = (1/3)*(27 yd^3)

V = 9 yd^3

The volume is 9 cubic yards, then the correct option is D.

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