Look at the way this plane figure moved. Which set of transformations was performed? Help me please it's urgent!


A) reflect horizontally and reflect vertically


B) reflect vertically and rotate clockwise


C) translate right and rotate counter-clockwise

The statement which is false among the answer choices as indicated in the task content is; Choice A; The parallel sides of an isosceles trapezoid are congruent.

It follows from the answer choice A that The parallel sides of an isosceles trapezoid are congruent.

However, it follows from the study of isosceles trapezoids that the base angles of such trapezoids are congruent and their measures are equal, consequently, the isosceles sides have equal length measures.

On this note, the other two sides are parallel but cannot be concluded as congruent.

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Answer:

Step-by-step explanation:

Answer:

$279

Step-by-step explanation:

100% = $930

30% = ???

(30/100) × 930

=$279

Answer:

X = 17√3

Y = 34

Step-by-step explanation:

TO calculate the values of X and y we use SOHCAHTOA.

tan 30 = opposite/adjacent

tan30 = 17/X

Cross multiply

tan30 ×X = 17

Divide bothsides by tan30

X = 17/1/√3

X=17√3

X = 29 ( approximately)

[tex]sin30 = \frac{Opposite}{Hypothenus} \\ \\ sin30 = \frac{17}{y} [/tex]

[tex]sin30 \times y = 17[/tex]

[tex] \frac{sin30 \times y}{sin30} = \frac{17}{sin30} \\ \\ y = \frac{17}{0.5} = 34 \\ y = 34[/tex]

a. This information is given to you.

b. We want to find

[tex]\mathrm{Pr}\{X > 8.9\}[/tex]

so we first transform [tex]X[/tex] to the standard normal random variable [tex]Z[/tex] with mean 0 and s.d. 1 using

[tex]X = \mu + \sigma Z[/tex]

where [tex]\mu,\sigma[/tex] are the mean/s.d. of [tex]X[/tex]. Now,

[tex]\mathrm{Pr}\left\{\dfrac{X - 10.5}2 > \dfrac{8.9 - 10.5}2\right\} = \mathrm{Pr}\{Z > -0.8\} \\\\~~~~~~~~= 1 - \mathrm{Pr}\{Z\le-0.8\} \\\\ ~~~~~~~~ = 1 - \Phi(-0.8) \approx \boxed{0.7881}[/tex]

where [tex]\Phi(z)[/tex] is the CDF for [tex]Z[/tex].

c. The 76th percentile is the value of [tex]X=x_{76}[/tex] such that

[tex]\mathrm{Pr}\{X \le x_{76}\} = 0.76[/tex]

Transform [tex]X[/tex] to [tex]Z[/tex] and apply the inverse CDF of [tex]Z[/tex].

[tex]\mathrm{Pr}\left\{Z \le \dfrac{x_{76} - 10.5}2\right\} = 0.76[/tex]

[tex]\dfrac{x_{76} - 10.5}2 = \Phi^{-1}(0.76)[/tex]

[tex]\dfrac{x_{76} - 10.5}2 \approx 0.7063[/tex]

[tex]x_{76} - 10.5 \approx 1.4126[/tex]

[tex]x_{76} \approx \boxed{11.9126}[/tex]

Answer: -3 ≤ x ≤ -1

Step-by-step explanation:

1 ≤ 3 - 4x ≤ 9

1 + 3 ≤ - 4x ≤ 9 + 3; Add 3 on all sides

4 ≤ -4x ≤ 12

1 ≤ -x ≤ 3; Divide 4 on all sides

-1 ≥ x ≥ -3; Multiply -1 on all sides(FYI: When multiplying or dividing negative numbers in inequalities, make sure to reverse the signs as well)

Answer:

2

Step-by-step explanation:

1≤3-4x≤9

subtract 3

1-3≤3-4x-3≤9-3

-2≤-4x≤6

divide by 2

-1≤-2x≤3

multiply by -1

1≥2x≥-3

or

-3≤2x≤1

divide by 2

[tex]-\frac{3}{2} \leq \frac{2x}{2} \leq \frac{1}{2} \\-\frac{3}{2} \leq x\leq \frac{1}{2} \\[/tex]

length of interval

[tex]=\frac{1}{2} -(\frac{-3}{2} )\\=\frac{1}{2} +\frac{3}{2} \\=\frac{1+3}{2} \\=\frac{4}{2} \\=2[/tex]

The slopes of the two diagonals of the rhombus are: A. b - f/a - e and -a + e/b - f.

To find the slope, the formula used is: change in y/change in x.

If two lines are perpendicular to each other, their slope values will be negative reciprocals.

In a rhombus, the two diagonals in the rhombus bisects each other at angle 90 degrees. This means that the two diagonals of a rhombus are perpendicular to each other. Therefore, the slope of the diagonals of any rhombus would be negative reciprocals.

The slope of the diagonals of the rhombus given would therefore be negative reciprocals to each other.

Given two endpoints of one of the diagonals as:

(a, b) = (x1, y1)

(e, f) = (x2, y2)

Slope (m) = change in y / change in x = b - f/a - e

The negative reciprocal of b - f/a - e is -a + e/b - f.

Therefore, the slopes of the two diagonals are: A. b - f/a - e and -a + e/b - f.

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Answer:

y=(−2)x−-6

Step-by-step explanation:

Use the slope −2 and the point (−5,4) to find the y-intercept.

y=mx+b

⇒4=(−2×−5)+b

⇒−4=10+b

⇒b=−6

Write the equation in slope intercept form as:

y=mx+b

⇒y=(−2)x−-6

Answer:

[tex]x > 60[/tex]

Step-by-step explanation:

[tex]x-30 > 30[/tex]
[tex]x > 60[/tex] (add 30 onto both sides of the inequality)

The probability that this adult used non-prescription antidepressants is 0.78.

Based on the information given, the following can be deduced:

Let A = event where adults visit therapist.

Let B = event where adults used non prescription antidepressants.

P(A) = 0.27

P(B) = 0.46

P(A n B) = 0.21

The probability that a randomly selected adult who visited the therapist used non-prescription antidepressants will be:

= 0.21/0.27

= 0.78

The probability that an adult visited a therapist during the past year, given that he or she used non-prescription antidepressants will be:

= 0.21/0.46

= 0.46

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Answer:

ummm the answer is very simple

The answer is 0/6

Step-by-step explanation:

[tex] \frac{1}{2 \times 3} - \frac{1}{6} [/tex]

[tex] \frac{1}{6} - \frac{1}{6} [/tex]

[tex]1 - 1 = \frac{0}{6} [/tex]

Answer:

DO not working in you

Step-by-step explanation:

PLEASE help me in answering

Answer:

Step-by-step explanation:

The population at various days is as follows since population triples every 3 days

Day     Population

0          10

3          30

6          90

9          270

....         ......

This can be modeled by the general equation

[tex]n_{t} = n_{0}(r)^{t/k}[/tex]

where

[tex]n_{t}[/tex] is the population after t days

[tex]n_{0}[/tex] is the population at start (10)

[tex]r[/tex] is the rate at which population changes ie 3

[tex]t[/tex] is the number days from start

[tex]k[/tex] is the number of days at which the population triples(here k =3 days)

We can check this by plugging in values for each of the variables

At day 0, population = 10(3)⁰ = 10. 1 = 10

Similarly populations for days 3, 6, 9 are:

[tex]\\\\10.3^{3/3} = 10. 3^1 = 10.3 = 30\\10.3^{6/3} = 10. 3^2 = 10.9 = 90\\\\10.3^{9/3} = 10. 3^3 = 10.27 = 270[/tex]

The system of inequalities having the given feasible regions and points at (-5, 0), and (0, 5), and (-2, -9), (-5, 0), and (1, 0) is the option;

y > x² + 4•x - 5

y > x + 5

The coordinates of the given points on the linear inequality are;

(-5, 0), and (0, 5)

Slope, m, of the linear inequality is therefore;

m = (5 - 0)/(0 - (-5)) = 1

The equation of the inequality is therefore;

y - 0 > 1•(x - (-5)) = x + 5

Which gives;

Quadratic Inequality;

The coordinates of the points on the quadratic inequality are;

Vertex point = (-2, -9)

x-intercept = (-5, 0), and (1, 0)

Therefore, we have;

y > (x + 5)•(x - 1) = x² + 4•x - 5

The correct option is therefore;

y > x² + 4•x - 5

y > x + 5

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Answer:

y > x2 + 4x – 5

y > x + 5

Step-by-step explanation:

If you put this system into desmos you will see that it matches the photo shown in the question, and it would need to be both greater than symbols because the dotted lines indicate that it is not included in the solution.

Give f(x) a dotted boundary and shade it above.

Give g(x) a solid boundary and shade it above.

The solution set is the region that is in the shaded region of both graphs.

Answer:

55

Step-by-step explanation:

[tex]\sqrt{3018+\sqrt{36+\sqrt{169} } }[/tex]

= [tex]\sqrt{3018+\sqrt{36+13} }[/tex]

= [tex]\sqrt{3018+\sqrt{49} }[/tex]

= [tex]\sqrt{3018+7}[/tex]

= [tex]\sqrt{3025}[/tex]

= 55

The Riemann sum with n = 6, taking the sample points to be midpoints is - 12.0625

Formula for midpoints is given as;

M = ∑0^n-1f((xk + xk + 1)/2) × Δx;

From the information given, we have the following parameters

Let' s find the parameters

Δx = (3 - 0)/6 = 0.5

xk = x0 + kΔx = 0.5k

xk+1 = x0 + (k +1)Δx

Substitute the values

= 0 + 0.5(k +1) = 0.5k - 0.5;(xk + xk+1)/2

We then have;

= (0.5k + 0.5k + 05.)/2

= 0.5k + 0.25.

Now f(x) = 2x^2 - 7

Let's find  f((xk + xk+1)/2)

Substitute the value of (xk + xk+1)/2)

= f(0.5k+ 0.25)

= 2(0.5k + 0.25)2 - 7

Put values into formula for midpoint

M = ∑05[(0.5k + 0.25)2 - 7] × 0.5.

To evaluate this sum, use command SUM(SEQ) from List menu.

M = - 12.0625

A Riemann sum represents an approximation of a region's area from addition of the areas of multiple simplified slices of the region.

Thus, the Riemann sum with n = 6, taking the sample points to be midpoints is - 12.0625

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The price of a mansion is $1.00 in 2013.

What is difference between a nominal and real variable?

Nominal variables are expressed in money or dollar terms, whereas the real variable compares the wage earned per hour to the basket of goods or services that it can purchase.

In comparing the wage earned per hour to 2 comic books, since the two would cost $12,that explains real variable, which is not required in this case.

However, comparing the the wage of $12 per hour to the price of mansion, which is $1 per one, indicates nominal variable.

In essence, the correct option in this case is that price of a mansion is $1.00 in the year 2013.

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Answer:

6.32

Step-by-step explanation:

The formula we use to find the distance between two points is:

[tex]\sqrt{(x_1-x_2)+(y_1-y_2)}[/tex]

The x1 is -3, the x2 is 5, the y1 is -4, and lastly, the y2 is 1.

If we input these numbers in the equation, we end up with:

[tex]\sqrt{(-3-5)+(-4-1)}[/tex]

= [tex]\sqrt{(-8) (-5)}[/tex]

= [tex]\sqrt{40}[/tex]

= [tex]2\sqrt{10}[/tex]

= 6.32455532

Rounded to the nearest hundredth is 6.32

The circumference of the circles from biggest to smallest are; 30π, 15π and 7.5π

The formula for area of a circle is;

A = πr²

In geometry, the area enclosed by a circle of radius r is πr². Here the Greek letter π represents the constant ratio of the circumference of any circle to its diameter, approximately equal to 3.14159.

The area of a circle formula is useful for measuring the region occupied by a circular field or a plot. Suppose, if you have a circular table, then the area formula will help us to know how much cloth is needed to cover it completely.

The area formula will also help us to know the boundary length i.e., the circumference of the circle. Does a circle have volume? No, a circle doesn't have a volume

Area of entire circle is 706 cm².

Thus;

πr² = 706

r² = 706/π

r = √(706/π)

r ≈ 15

Circumference of biggest circle = 2πr

Circumference of biggest circle = 2π * 15

Circumference of biggest circle = 30π

Circumference of second biggest circle = 2π * (15/2)

Circumference of second biggest circle = 15π

Circumference of smallest circle = 2π * (15/4)

Circumference of smallest circle = 7.5π

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Using the Fundamental Counting Theorem, the number of possible telephone numbers is given by:

a) 900,000.

b) 78,125.

c) 10,000.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

For item a, a multiple of 100 means that the last two digits are 00, hence the parameters are:

[tex]n_1 = 9, n_2 = n_3 = n_4 = n_5 = 10, n_6 = n_7 = 1[/tex]

Hence the number is:

N = 9 x 10^5 = 900,000.

For item b, odd digits are 1, 3, 5, 7 and 9, hence the parameters are:

[tex]n_1 = n_2 = n_3 = n_4 = n_5 = n_6 = n_7 = 5[/tex]

Hence the number is:

N = 5^7 = 78,125.

For item c, if the first 3 digits are 277, the parameters are:

[tex]n_1 = n_2 = n_3 = 1, n_4 = n_5 = n_6 = n_7 = 10[/tex]

Hence the number is:

N = 10^4 = 10,000.

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Answer:

5%.

Step-by-step explanation:

That is

(24/480 * 100    

 Now 480 / 24 = 20 so we have

(1/20) * 100

= 100/20

= 5%.

Answer:

24 is 5% of 480

Step-by-step explanation:

24 / 480 = 0.05

Percent is "for each 100"

Then:

0.05 * 100 = 5%

[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]

The contrapositive of the statement is False.

Because we already know, Cube is a 3 - dimensional shape with 6 faces, all its sides are equal and all faces are congruent.

But the contrapositive of the statement is not true, because not only cube has six faces.

There are other 3 - D shapes that have 6 faces.

[tex] \qquad \large \sf {Conclusion} : [/tex]

The contrapositive of the statement is false.

The amount of the down payment and the fixed rate mortgage is $35000 and $9625.

According to the statement

We have given that the

Thomas osler is buying a house selling for $175,000 And we have to find the amount of the down payment and the monthly payment.

So, The down payment is :

percentage of the down payment is 20%

So,

Amount = 20/100*175000

Amount = 35,000$

And the percentage of the fixed rate mortgage with 5.5%

So,

Amount = 5.5/100*175000

Amount = $9625.

This the amount of the down payment with the given percentage and with the fixed rate mortgage.

So, The amount of the down payment and the fixed rate mortgage is $35000 and $9625.

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[tex]\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}[/tex]

◉ [tex]\large\bm{ -4}[/tex]

[tex]\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}[/tex]

Before performing any calculation it's good to recall a few properties of integrals:

[tex]\small\longrightarrow \sf{\int_{a}^b(nf(x) + m)dx = n \int^b _{a}f(x)dx + \int_{a}^bmdx}[/tex]

[tex]\small\sf{\longrightarrow If \: a \angle c \angle b \Longrightarrow \int^{b} _a f(x)dx= \int^c _a f(x)dx+ \int^{b} _c f(x)dx }[/tex]

So we apply the first property in the first expression given by the question:

[tex]\small \sf{\longrightarrow\int ^3_{-2} [2f(x) +2]dx= 2 \int ^3 _{-2} f(x) dx+ \int f^3 _{2} 2dx=18}[/tex]

And we solve the second integral:

[tex]\small\sf{\longrightarrow2 \int ^3_{-2} f(x)dx + 2 \int ^3_{-2} f(x)dx = 2 \int ^3_{-2} f(x)dx + 2 \cdot(3 - ( - 2)) }[/tex]

[tex]\small \sf{\longrightarrow 2 \int ^3_{-2} f(x)dx + 2 \int ^3_{-2} 2dx = 2 \int ^3_{-2} f(x)dx + 2 \cdot5 = 2 \int^3_{-2} f(x)dx10 = }[/tex]

Then we take the last equation and we subtract 10 from both sides:

[tex]\sf{{\longrightarrow 2 \int ^3_{-2} f(x)dx} + 10 - 10 = 18 - 10}[/tex]

[tex]\small \sf{\longrightarrow 2 \int ^3_{-2} f(x)dx = 8}[/tex]

And we divide both sides by 2:

[tex]\small\longrightarrow \sf{\dfrac{2 { \int}^{3} _{2} }{2} = \dfrac{8}{2} }[/tex]

[tex]\small \sf{\longrightarrow 2 \int ^3_{-2} f(x)dx=4}[/tex]

Then we apply the second property to this integral:

[tex]\small \sf{\longrightarrow 2 \int ^3_{-2} f(x)dx + 2 \int ^3_{-2} f(x)dx + 2 \int ^3_{-2} f(x)dx = 4}[/tex]

Then we use the other equality in the question and we get:

[tex]\small\sf{\longrightarrow 2 \int ^3_{-2} f(x)dx = 2 \int ^3_{-2} f(x)dx = 8 + 2 \int ^3_{-2} f(x)dx = 4}[/tex]

[tex]\small\longrightarrow \sf{2 \int ^3_{-2} f(x)dx =4}[/tex]

We substract 8 from both sides:

[tex]\small\longrightarrow \sf{2 \int ^3_{-2} f(x)dx -8=4}[/tex]

• [tex]\small\longrightarrow \sf{2 \int ^3_{-2} f(x)dx =-4}[/tex]

Triangle MNL and triangle QNL are congruent to each other based on by either ASA or AAS.

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, equilateral, scalene and right angle triangle. Two triangles are said to be congruent if they have the same shape and their corresponding sides are congruent to each other.

From triangle MNL and triangle QNL, in triangle MNL:

∠M + ∠N + ∠L = 180° (sum of angles in a triangle)

90 + 58 + ∠L = 180

∠L = 32°

Hence Triangle MNL and triangle QNL are congruent to each other based on by either ASA or AAS.

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Answer:

$824.56

Step-by-step explanation:

Use the compound interest formula which is A = P(1+r/n)^nt

1st using the given information we are going to find out values:
P is our initial amount of $500
r is the annual rate of interest (expressed as a decimal) 8% becomes 0.08.
n is how many times interest is compounded per year, in this case since its not stated we are going to assume its annually, so n is 1
t is how long the money is deposited (in years) so t is 6.5
A is our final amount

2nd plug in our values into the equation

Plugging all these values we get A = 500 (1 +0.08/1)^(0.08)(6.5)

A = $824.56

Answer:

9:8:2

Step-by-step explanation:

3/4 : 2/3 : 1/6 Multiply by 12.
9 : 8 : 2

Answer:

B

Step-by-step explanation:

a dream like imageeeeee

Answer:  10

Step-by-step explanation: 800/80 = 10