In the given figure if AOB = 132°, COD = 141°, if measure of BOD equals x°, then x is

By applying the equation for the rotation around the origin we conclude that the image of the point (7, 8) after rotating 90° counterclockwise is (-8, 7).

In this question we must apply a rigid transformation on a point to find its image, rigid transformations are transformations applied on geometric loci such that Euclidean distances are observed in every point of the loci. A rotation about the origin is a kind of rigid transformation and is defined by the following expression:

(x', y') = (x · cos θ - y · sin θ, x · sin θ + y · cos θ)

Where:

Please notice that positive values of θ represents a counterclockwise rotation. If we know that (x, y) = (7, 8) and θ = 90°, then the resulting point is:

(x', y') = (7 · cos 90° - 8 · sin 90°,  7 · sin 90° + 8 · cos 90°)

(x', y') = (-8, 7)

By applying the equation for the rotation around the origin we conclude that the image of the point (7, 8) after rotating 90° counterclockwise is (-8, 7).

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Using a calculator, the critical value of the t-distribution that should be used for a 95% confidence interval with 20 observations is of t* = 2.0930.

A calculator is used, with two inputs:

In this problem, we have a 95% confidence interval, with 20 - 1 = 19 df, hence the critical value is of t* = 2.0930.

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Answer:

2/8

Step-by-step explanation:

there is the 4 sections of a spinner and 2 sides on the coin when you lay it out that leaves 2 opportunities to spin a 3 or a 4 and flipping heads

The number of ways for the jobs to be ordered in the queue so that job A is the first to finish or the last to finish is; 2 * 9!

We are told that;

There is a set of 10 jobs in the printer queue.

One of the jobs is job A. Thus, there are 9 other identified jobs.

Number of ways to order this nine jobs = 9!

Since the job A has to be ordered first or last, then;

Number of ways to order job A = 2 ways.

Thus;

Total number of ways to order the jobs in the given order = 2 * 9!

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There appear to be 25% more sales of horror books than cookbooks, but there are really only about 2% more.

Percentage is a measure of frequency that expresses the ratio of two numbers as a value out of 100.

Percentage of horror books to comedy books = [(number of horror books sold / number of comedy book) - 1 ] x 100

[(55 / 54) - 1] x 100 = 2%

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Answer:

[tex]\left(12x^5-3x^1+2x-5\right)+\left(8x^1-3x^3+4x+1\right)[/tex]

=> Expand

[tex]12x^5-3x^1+2x-5+8x^1-3x^3+4x+1[/tex]

=> simplify and group like terms

[tex]12x^5-3x^3+5x^1+6x-4[/tex]

=> simplify further

[tex]12x^5-3x^3+11x-4[/tex]

Answer:

they are different in the equation

Answer:

see explanation

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

given

x² + y² - 8x + 8y + 23 = 0

collect the x and y terms together and subtract 23 from both sides

x² - 8x + y² + 8y = - 23

using the method of completing the square

add ( half the coefficient of the x / y terms )² to both sides

x² + 2(- 4)x + 16 + y² + 2(4)y + 16 = - 23 + 16 + 16

(x - 4)² + (y + 4)² = 9 ← in standard form

with centre = (4, - 4 ) and r = [tex]\sqrt{9}[/tex] = 3

this is shown in graph b

The range of the exponential function will be y ≥ 250,0003. Then the correct option is B.

The domain means all the possible values of x and the range means all the possible values of y.

The Population Of Center City Is Modeled By Exponential Function F, Where X Is The Number Of Years After The Year 2015.

The graph is given below.

We know that the exponential function is given as

y = abˣ

For x = 0, y will be 250,000

250,000 = a

For x = 40, y will be 400,000

400,000 = 250,000b⁴⁰

           b = 1.0118

Then we have

y = 250,000 (1.0118)ˣ

Then the range of the exponential function will be y ≥ 250,0003.

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The simplification form of the provided expression is 2y⁴/x⁴ option (A) 2y⁴/x⁴ is correct after applying the integer exponent properties.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

The question is incomplete.

The complete question is attached in the picture, please refer picture.

We have an expression:

[tex]= \rm \dfrac{\left(14x^4y^6\right)}{\left(7x^8y^2\right)}[/tex]

[tex]\rm =\dfrac{7\cdot \:2x^4y^6}{7x^8y^2}[/tex]

[tex]\rm =\dfrac{2x^4y^6}{x^8y^2}[/tex]

[tex]\rm =\dfrac{2y^4}{x^4}[/tex]

Thus, the simplification form of the provided expression is 2y⁴/x⁴ option (A) 2y⁴/x⁴ is correct after applying the integer exponent properties.

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Answer:

A

Step-by-step explanation:

imagine explaining

Answer:

D) 65°

Step-by-step explanation:

Use Snell's Law

[tex]n_1\sin\theta_1=n_2\sin\theta_2\\\\1.00\sin\theta_1=1.47\sin38^\circ\\\\\sin\theta_1=1.47\sin38^\circ\\\\\theta_1=\sin^{-1}(1.47\sin38^\circ)\\\\\theta_1\approx64.83^\circ[/tex]

Thus, the angle of incidence is D) 65°

[tex]\begin{array}{llll} f(x)~from\\\\ x_1 ~~ to ~~ x_2 \end{array}~\hfill slope = m \implies \cfrac{ \stackrel{rise}{f(x_2) - f(x_1)}}{ \underset{run}{x_2 - x_1}}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array} \\\\[-0.35em] ~\dotfill\\\\ f(x)= x^2-2x-4 \qquad \begin{cases} x_1=-1\\ x_2=4 \end{cases}\implies \cfrac{f(4)-f(-1)}{4 - (-1)} \\\\\\ \cfrac{[(4)^2-2(4)-4]~~ - ~~[(-1)^2-2(-1)-4]}{4+1}\implies \cfrac{4~~ - ~~(-1)}{5} \\\\\\ \cfrac{4+1}{5}\implies \cfrac{5}{5}\implies 1[/tex]

[tex]\sqrt{-1} + 2 = i+2 = 2+i[/tex]

The area of the target that earns at least 30 points on a throw is 379.94 square inches

The target areas that earn at least 30 points on a throw are:

30-point, 40-point and 50-point

From the question, we have:

So, the total radius is:

r = 3 + 4 + 4

Evaluate the sum

r = 11

The area is then calculated as:

A = πr²

This gives

A = 3.14 * 11²

Evaluate

A = 379.94

Hence, the area of the target that earns at least 30 points on a throw is 379.94 square inches

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Answer:

49  square inches

Step-by-step explanation:

edmentum/ Plato hope this helps

By solving the two quadratic equations we found the values (0,-1).

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given equations are;-

The two equations are solved by equating them and finding the value of x.

3x² + 6x + 4 = -3x² + 4

6x² + 6x = 0

6x ( x+1 ) = 0

6x  = 0 so x = 0

( x+1 ) = 0 so x = -1

Therefore solving the two quadratic equations we found the values (0,-1).

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Answer:

[tex]x > - 1 \\ the \: answer \: is \: {d}[/tex]

Answer:

cant draw on this

Step-by-step explanation:

show the problem

Answer:

I'm getting stuck by

[tex] = lim \: \: \: \: \: \: \frac{ {h}^{ \frac{1}{5} } }{h} \\ h > 0[/tex]

Sorry I can't help you out, if you find the answer through FP lmk

[tex]\sf Sine \ Rue : \ \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]

Given following:

Solve for b (distance between school and mall):

[tex]\dashrightarrow \sf \dfrac{\sin 56}{38} = \dfrac{\sin 77}{b}[/tex]

[tex]\dashrightarrow \sf b= \dfrac{38\sin 77}{\sin 56}[/tex]

[tex]\dashrightarrow \sf b= 44.6615 \quad \approx \quad 45[/tex]

Answer:

A.) 20

Step-by-step explanation:

According to the bar graph, in February, the store sold 50 computers. In September, it seems like the store sold 30 computers. Therefore, if 50 - 30 = 20, the store sold 20 more computers in February than in September.

Answer:

A) 20

Step-by-step explanation:

Computers sold in Feb: 50

Computers sold in Sept: 30

50 - 30 = 20

Answer:

Step-by-step explanation:

ohn will need to sleep for 10.3 hours before his second exam so that the

he average of his two exam scores is an 80.

We were given

8 hours of sleep = 70

To get an average of 80

70+ x = 80

2

Cross multiply:

70+x = 160

x= 160-70

= 90.

If 8 hours of sleep = 70

x hours of sleep = 90

Cross multiply

8× 90 = 70 × x

720 = 70x

x = 720/70

x = 10.2857

≈ 10.3 hours of sleep

Answer:

AC = 13.3

Make proportional relationship:

[tex]\sf \dfrac{AB}{AC} = \dfrac{AM}{AN}[/tex]

Insert values

[tex]\rightarrow \sf \dfrac{10}{AC} = \dfrac{6}{8}[/tex]

Cross multiply

[tex]\rightarrow \sf AC = \dfrac{10(8)}{6}[/tex]

Simplify

[tex]\rightarrow \sf AC =13.3[/tex]

Answer:

Approx. 2140.16 cubic centimeters

Step-by-step explanation:

[tex]Volume=\frac{4}{3}\pi r^{3} \\V=\frac{4}{3}(3.14)(8)^{3} \\V=4.18(8)^{3} \\V=4.18(512) \\V=2140.16[/tex]

Answer:

Improper fraction

Step-by-step explanation:

2×3/5

=6/5 i.e Improper fraction

Answer:

hundred

Step-by-step explanation:

Answer:

600

Step-by-step explanation:

Answer:

3\2 is the marked

y cos x,=2

3\2=0.5

x=0.5*2=3.0

=3.0*2=6.0