A six-sided die with sides labeled 1 through 6 will be rolled once. Each number is equally likely to be rolled.
What is the probability of rolling a number greater than 2?
Write your answer as a fraction.

Answer:

I do believe the radius of P is PN

Question

What is radius of circle P?

Answer:

Step-by-step explanation:

MN is the diameter, so half diameter is the radius, PN is your answer (remember that PM is also a radius)

the answer is 9x(to the power of 2)−42x+49

9.915 mi and that's all and that helped friend me please thanks stay pretty

Answer:

9.91 miles

Step-by-step explanation:

Refer the attached figure

Forest Ranger at point A observes the fire at angle of 41° north of east i.e.∠CAB = 41°

The distance between the two rangers is 15 miles i.e. AB = 15 miles

Forest Ranger at point B observes the fire at at 56° north of west. i.e.∠CBA= 56°

Now we are supposed to find who is closest to the fire

So, we are supposed to find the length of AC and BC

So, first calculate ∠ACB

We will use angle sum property of triangle

Angle  sum property of triangle  : Sum of all angles of triangle is 180°

So, ∠CBA+∠ACB+∠CAB =180°

56°+∠ACB+41° =180°

97°+∠ACB =180°

∠ACB =180°-97°

∠ACB =83°

Now to find  AC and BC we will use law of sines

[tex]\frac{a}{sin A}=\frac{b}{Sin B}=\frac{c}{SinC}[/tex]

Refer the attached figure

[tex]\frac{AC}{sin 56}=\frac{BC}{Sin 41}=\frac{15}{Sin83}[/tex]

So, [tex]\frac{BC}{Sin 41}=\frac{15}{Sin83}[/tex]

[tex]BC=\frac{15}{Sin83} \times Sin 41[/tex]

[tex]BC=9.91478[/tex]

[tex]\frac{AC}{sin 56}=\frac{15}{Sin83}[/tex]

[tex]AC=\frac{15}{Sin83} \times sin 56[/tex]

[tex]AC=12.5289[/tex]

So, BC< AC

So, the ranger who is closest to fire is at a distance of 9.91 miles .

So, Option 1 is true

[tex]-2(y - 1) = 9\ /:(-2)\\y-1=-4.5\\y=-4.5+1\\y=-3.5[/tex]

Answer:

The period is [tex]2\pi[/tex] and the amplitude is 3.

Step-by-step explanation:

The period goes from one peak to the next (or from any point to the next matching point). The amplitude is the height from the center line to the peak.

The period of the function [tex]y=a\sin (bx)[/tex] is [tex]T=\dfrac{2\pi }{b}[/tex] and the amplitude is [tex]|a|.[/tex]

Consider the function [tex]f(t)=-3\sin t.[/tex]

The period for the function [tex]f(t)[/tex] is

[tex]T=\dfrac{2\pi}{1}=2\pi[/tex]

and the amplitude is 3.

Answer: Alternate Interior Angles Theorem (choice B)

If you have two parallel lines, and cut them with a third line, then you'll form two pairs of alternate interior angles. Alternate interior angles are angles that that are on the inside of the parallel "train tracks", but they are on opposite sides of the transversal line.

Answer:

51869 ft

Step-by-step explanation:

If he climbed both mountains, then we add the heights together

22834 + 29035

51869 ft

Answer:

51,869 ft

Step-by-step explanation:

Add the two heights.

22,834 ft + 29,035 ft = 51,869 ft

Answer:

No

Step-by-step explanation:

So first, you need to divide the number of states voting by the number total, so 35/50= 0.7. Then you need to complete the original fraction and turn it into a decimal: 3/4 = 0.75

So 35 states = 0.7 and 3/4 = 0.75, so there are 0.05, or 5% of the states missing to Amend the Constitution.

Answer:

A 75 percent vote of congress is required for to amend the consitution.  

Step-by-step explanation:

Answer:

1st)  geometric

2nd)  arithmetic

3rd)  arithmetic

Step-by-step explanation:

Geometric = you multiply or divide to get the next term

Arithmetic = you add or subtract to get the next term

1st)  you times by 3 to get next term = geometric

2nd)  you add one to get next terms = arithmetic

3rd) you add 4 to get next term = arithmetic

Answer:

B & D

Step-by-step explanation:

We use percents in decimal form to multiply it with the price. We convert percents into decimals by dividing the percent number by 100. For example, 78% divided by 100 becomes 0.78.

There are two ways to look at it:

For finding the price we pay during a sale, we focus on the percent we pay. If 22% off is the sale, then we spend 78% or 100-22=78. If 20% off is the sale, then we pay 80% or 0.80. Multiply that by x an unknown price and we have 0.8x.

We can find the percent off by multiplying the price by the percent conversion. So 20% is 0.20. Then subtract it from the original price to find the leftover that we pay. This is x-0.2x.

Answer:

B and D

Step-by-step explanation:

Answer:

The equation of the line would be y = -15/24x + 6

Step-by-step explanation:

In order to find the equation of the line, you need to start by using the slope formula with the points given. This will give you the slope.

m(slope) = (y2 - y1)/(x2 - x1)

m = (11 - 7/2)/(-8 - 4)

m = (15/2)/-12

m = 15/-24

m = -15/24

Now that we have the slope, we can use that and either point to find the equation in point-slope form.

y - y1 = m(x - x1)

y - 11 = -15/24(x + 8)

y - 11 = -15/24x - 5

y = -15/24x + 6

Answer:The answer on ed is y= -5/8x + 6

Step-by-step explanation:

Answer:

12/24

Step-by-step explanation:

A ratio is a comparison of two quantities and can be written in several forms including fractions. It is most commonly written in fraction form or a:b.

To write a ratio, we count the number of each quantity we are comparing. The number of shaded squares is 12. While the total number of squares is 24. We write the ratio as shaded : total.

12:24 or

[tex]\frac{12}{24}[/tex] or

0.5 as a decimal.

Answer:

32

Step-by-step explanation:

XY means x times y

and x = 8 or x is 8

and y = 4 or y is 4

so 4 times 8 is 32

so

XY = 32

Answer: 56

Step-by-step explanation: The pattern is 8 x 3.5 = 28, 10 x 3.5 = 35, 12 x 3.5 = 42... so 16 x 3.5 = 56

Answer:

56

Step-by-step explanation:

Answer:

the answer is:

b

d

e

Functions are used to show relationships between variables. The true statements are:

I've added as an attachment, the table of values of f(x)

Next, we test the given options

(a) f(x) > 0 over the interval ([tex]-\infty[/tex], 3).

Using the table of f(x), the values in ([tex]-\infty[/tex], 3) are values less than 3; i.e. -3 to 2.

If f(2) = 0, then f(x) > 0 is not true

(b) f(x) ≤ 0 over the interval [0, 2].

The values in [0, 2] are values from 0 to 2; i.e. 0, 1 and 2.

If f(0) = 0, f(1) = -3 and f(2) = 0

Then, f(x) ≤ 0

(c) f(x) < 0 over the interval (−1, 1).

Using the table of f(x), the values in (-1, 1) are values between -1 and 1; i.e. 0

If f(0) = 0, then f(x) < 0 is not true

(d) f(x) > 0 over the interval (–2, 0).

Using the table of f(x), the values in (-2, 0) are values between -2 and 0; i.e. -1

If f(-1) = 3, then f(x) > 0 is true

(e) f(x) ≥ 0 over the interval [2, [tex]\infty[/tex])

Using the table of f(x), the values in [2, [tex]\infty[/tex]) are values from 2; i.e. 2 and 3

If f(2) = 0 and f(3) = 15, then f(x) ≥ 0  is true

Hence, the true statements are:

Read more about functions over interval at:

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Answer: 6

The remainder theorem says that if we divide p(x) over x-k, then the remainder is r = p(k)

In this case, we have p(x) = x^2+5 and x-k = x+1 = x-(-1). So k = -1 is plugged into p(x) to get

p(x) = x^2+5

p(-1) = (-1)^2+5

p(-1) = 1+5

p(-1) = 6

That is why the remainder is 6. You can use polynomial long division or synthetic division to confirm this answer.

Answer:

The remainder would be 6.

Step-by-step explanation:

Answer:

D, which is 7.

Step-by-step explanation:

if you notice that -2+4= 2, and 4+14= 18, you can make an educated guess.

The missing number in the given synthetic division problem is 7 hence, option (D) is correct.

The synthetic division used to divide a polynomial by any expression in that expression should be the leading coefficient as one.

Given that in problem first term has written as it is.

Then multiply 2 with 2 and add 4 with -2.

Again multiply 2 by 2 and add with 3 which gives 7.

Hence 7 will be the missing number in the given problem.

For more information about synthetic division.

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Answer: 320

Step-by-step explanation:

[tex]a_n=a_1(r)^{n-1}\quad \text{where}\ a_1\ \text{is the first term, r is the ratio, n is the term}[/tex]

[tex]a_7=5(2)^{7-1}[/tex]

   [tex]=5(2)^{6}[/tex]

   [tex]=5(64)}[/tex]

   [tex]=320[/tex]

Answer:

The 7th term in Geometric Sequence is 320

Step-by-step explanation:

Given : the geometric sequence whose first term is 5 and whose common ratio is 2.

To Find : 7th term

Solution :

Using the formula of Geometric Sequence :

[tex]a_{n} =a_{1} *r^{n-1}[/tex]    --(A)

Since,

[tex]a_{1}=5[/tex]

r =2

n = 7 (term no. need to calculate)

Putting these values in ---(A)

⇒[tex]a_{7} = 5*2^{7-1}[/tex]

⇒[tex]a_{7} = 5*2^{6}[/tex]

⇒[tex]a_{7} = 5*64[/tex]

⇒[tex]a_{7} =320[/tex]

Hence the 7th term in Geometric Sequence is 320

Answer:

(a)

system of equations are

[tex]s+k=425[/tex]

[tex]k-s=25[/tex]

(b)

Graph is attached

(c)

Sam earned =$200

Kevin earned =$225

Step-by-step explanation:

Let's assume

's' for the amount Sam earned

'k' for the amount Kevin earned

(a)

Together they earned a total of $425

so, we get

[tex]s+k=425[/tex]

Kevin earned $25 more than Sam

so, we get

[tex]k=s+25[/tex]

so, system of equations are

[tex]s+k=425[/tex]

[tex]k-s=25[/tex]

(b)

now, we can draw graph

(c)

intersection point will be our solution

and we got intersection point as

(200, 225)

so,

s=200

k=225

(a) The system of equations for the situation is s + k = 425 and k = s + 25.

(b) Graph these equations to find their point of intersection.

(c) Using the graph, estimate that Sam earned around $200, and Kevin earned around $225.

(a) To write a system of equations for this situation, we can use the information provided:

1. Sam and Kevin earned a total of $425, which can be expressed as:

  s + k = 425

2. Kevin earned $25 more than Sam:

  k = s + 25

So, the system of equations is:

1. s + k = 425

2. k = s + 25

(b) To graph these equations, you can rearrange them into slope-intercept form (y = mx + b), where y represents one of the variables (s or k) and x represents the other variable.

From equation 2, we can rewrite it as k = s + 25, which can be expressed as k = 1s + 25.

Now, the system is represented as:

1. s + k = 425

2. k = s + 25

You can graph these equations on a coordinate plane.

(c) Once you graph the equations, you can look for the point of intersection, which represents the solution to the system and gives you the values of s and k. The point where the two lines intersect will provide estimates for how much Sam and Kevin earned. Using the graph, estimate that Sam earned around $200, and Kevin earned around $225.

Learn more about system of equations here:

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Answer:

Answer in simplified form is:

(sinФ - cosФ)² + (sinФ + cosФ)² = 2

Step-by-step explanation:

Given,

(sinФ - cosФ)² + (sinФ + cosФ)²

This can be simplified as:

(sin²Ф + cos²Ф - 2sinФcosФ) + (sin²Ф + cos²Ф +2sinФcosФ)

We know that : sin²Ф + cos²Ф = 1

So,

( 1 - 2sinФcosФ) + (1 + 2sinФcosФ)

or 1 + 1 -2sinФcosФ + 2sinФcosФ

or 2

Hence we got  (sinФ - cosФ)² + (sinФ + cosФ)² = 2

Answer:

25

Step-by-step explanation:

Formula

2xy + 1

Givens

x = 3

y = 4

Solve

2*(3)*(4) + 1

24 + 1

25

Answer:

x = 15

Step-by-step explanation:

The segment that is x units long is the midsegment of the largest triangle. The midsegment is half as long as the line parallel to the midsegment. It is half as long as the 30 unit long segment.

Note how the vertical sides (marked with the double tickmarks) are congruent to one another. The smaller pieces are both the same length, so they combine to something twice as big. Go in reverse: one segment with a pair of double tickmarks is exactly half as long as the entire vertical side. The same can be said about the horizontal sides as well.

Answer:

Associative Property of Addition.

Step-by-step explanation:

It states that no matter how the numbers are ordered, the result will be the same. Feel free to look it up on google for more information :)

Answer:

The answer is Associative Property of Addition. Hope I helped!

Answer:

-1.5, -1.6, -1.7, -1.8, -1.9

Step-by-step explanation:

A rational number is a number that can be written as the ratio of two integers.

-1.5 is a rational number between -2 and -1

-1.5  can be written as -15/10

-1.6  is a rational number between -2 and -1

-1.6 can be written as -16/10

1.7  is a rational number between -2 and -1

-1.7 can be written as -17/10

1.8  is a rational number between -2 and -1

-1.8 can be written as -18/10

1.9  is a rational number between -2 and -1

-1.9 can be written as -19/10

[tex]\left\{\begin{array}{ccc}y=6x+2&(*)\\y=x+17&(**)\end{array}\right\\\\\text{Substitute}\ (*)\ \text{to}\ (**):\\\\6x+2=x+17\qquad\text{subtract 2 from both sides}\\6x=x+15\qquad\text{subtract x from both sides}\\5x=15\qquad\text{divide both sides by 5}\\\boxed{x=3}\\\\\text{Put the value of x to the second equation}:\\\\y=3+17\\\boxed{y=20}\\\\Answer:\ \boxed{D.\ (3,\ 20)}[/tex]

Answer:

D ( 3, 20 )   For A pex

Step-by-step explanation:

[tex](f\cdot g)(x)=f(x)\cdot g(x)\\\\\text{We have}\ f(x)=x+7\ \text{and}\ g(x)=\dfrac{1}{x-13}.\\\\\text{Substitute}\\\\(f\cdot g)(x)=(x+7)\cdot\dfrac{1}{x-13}=\dfrac{x+7}{x-13}\\\\\text{The domain:}\\\\x-13\neq0\qquad\text{add 13 to both sides}\\\\x\neq13\\\\Answer:\ \boxed{x\in\mathbb{R}-\{13\}}\to\boxed{\text{All real numbers except 13}}[/tex]

Answer:

First of all, I expect you fulfill your word and give what you promise... ha ha just kidding, I already solved a question like this one, please see below explanation.

1. Tessellation is the covering of a surface with pattern(s) of flat shapes so that there are no overlaps or gaps. It is also called Tiling.

2. Triangles, Squares, and Hexagons are regular polygons.

3. Previous three shapes create a regular tessellation pattern because all their sides and all their angles are the same. the intersection point of the interior angles is called "Vertex". For a regular tessellation, the pattern is identical at each Vertex.

Unlike the triangle and quadrilateral case, the Pentagon's angle sum of 540° is not helpful when trying to fit a bunch of Pentagons around a vertex. Therefore, even though the Pentagon is a regular polygon, it cannot tessellate.

4. See attached screenshot of 3 tessellations created with Tessellation Artist Software online.

Answer:

£120

Step-by-step explanation:

First calculate 25% of £160 then subtract this from the £160.

25% of 160 = 25/100  * 160

= 1/4 * 160 = £40.

£160 - £40  = £120  (answer).

Answer:

The answer is $120

Step-by-step explanation:

First you must find 25% of $160

First, I found out what is 25% of 16

Next, made 25% = 1/4

Then, 1/4 of 16 is also 16 divided 4 and you will get 4

Then, you add the zero on the back and make it $40

Finally, subtract 40 from 160 and that will be your answer

160 - 40 = $120

Answer:

Step-by-step explanation: the correct answer is definitely 6

Final answer:

With Helen fixed in the first position, there are 6 different ways Elizabeth, Frank, and Gary can line up behind her, computed by a permutation of the 3 remaining people.

Explanation:

If Helen is always the first in line, we just need to focus on the different ways Elizabeth, Frank, and Gary can line up behind her. For the first spot behind Helen, there are 3 choices (Elizabeth, Frank, or Gary). After choosing one, there are 2 remaining choices for the next spot, and finally, the last person will have no choice but to take the last remaining spot. This is a permutation problem where we multiply the different choices together.

Thus, the number of ways they can line up is 3 (for the second spot)  imes 2 (for the third spot)  imes 1 (for the last spot), which equals 6 different possible lineups.

Answer: slope is 5 and y-intercept is 15

Step-by-step explanation:

you pay 5 dollars each hour or whatever the time is and have to pay $15 to get in the cab. So the $15 is a must pay.

Answer:

You pay $5\time and must pay $15 to ride in it.