( 25 POINTS ) simplify: \/ \'/ \/ \/ \/ \/ \/ \/ \

Answer:

5.)26v+5

7.)32b x 7

8.)a

Step-by-step explanation:

i think these are all right but that's how you do it in algebra so if you aren't in algebra i'm sorry I tried.

The height of the building, using similar triangles, is given by:

36 feet.

Similar triangles are two triangles that share these two features, which are listed as follows:

The second bullet point, regarding proportional side lengths, is especially relevant in the context of this problem, as a proportional relationship is built to find the height h of the building.

From the similar triangles, the equivalent side lengths are presented as follows:

Hence the proportional relationship that models this situation is presented as follows:

3/18 = 6/h.

Applying cross multiplication, the height of the building is obtained as follows:

3h = 18 x 6

h = 6 x 6 (simplifying by 3)

h = 36 feet.

The diagram is given by the image shown at the end of the answer.

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y = x²-5

f(x) = x² - 5

f(-4) = (-4)² - 5

f(-4) = 16 - 5

f(-4) = 11

give me brainliest pls hehe

The measure of the given polygon's angle is 2340°

Polygons are two-dimensional closed objects in geometrical mathematics where n number of line segments cross each other to generate n number of vertices. A triangle is a polygon with three sides, for instance.

In an n-sided polygon, there are n inner angles.

The total of all interior angle measurements in a polygon is always constant and is denoted by the notation "n" for the number of sides in the polygon.

the formula is ;

Sₙ = ( n - 2 ) 180°

Here in question n is given as 15

Thus Sₙ = ( n - 2 ) 180° becomes

Sₙ = ( 15 - 2) 180

13 × 180

= 2340 °

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Answer:

it is really A 156 i took the test and got an 100%

Step-by-step explanation:

The parallelogram's longest diagonal AC measures 18 units in length.

Given:

Length of sides AB = 10

Length of side BC = 15

Angle measure of ABC = 60°

We are aware that a parallelogram is a quadrilateral with two sides that are equally long and parallel.

Using the Pythagorean Theorem, we can determine the length of the longer diagonal AC as follows:

Consider the triangle ABC, which has an angle ABC of 60 ° and sides AB and BC of 10 and 15 respectively.

To get the length of the third side AC, we shall use the Pythagorean Theorem.

AC2 = AB2 + BC2

AC2 = (10)2 + (15)2

AC2 = 100 + 225

AC2 = 325

AC = √325

AC = 18 (rounded to the nearest whole number)

Therefore, the length of the longer diagonal AC of the parallelogram is 18 units.

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Answer:

Roxana's normal pay is $12.00

Step-by-step explanation:

1.5 times normal hourly rate.

72 in 4 hours,

18 in 1 hour.

18/1.5=12.

Her pay is 12.

Hope this helps plz hit the crown :D

Answer:

(x-3)² + (y+5)² = 16

Step-by-step explanation:

Radius will be half of diameter means that radius = r = 8/2 = 4.

With Center (h,k) the equation of circle is

(x-h)² + (y-k)² = r²

so by putting values answer will be

(x-3)² + (y+5)² = 4²

(x-3)² + (y+5)² = 16

Answer:

21.3 seconds

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

21.3 seconds

Step-by-step explanation:

600 ft (200 yds x 3) divided by 90 ft (length to a base) would be 6.6666667

6.6666667 times 3.2 equals 21.3

iinm

Answer:

60 degrees

Step-by-step explanation:

60+60*2=180

pls give brainliest

Answer:

30° and 60°

Step-by-step explanation:

let angle be x and 2x

x+ 2x=90

3x=90

x=30

Therefore,

2x= 2*30= 60

Answer:

Step-by-step explanation:

Part A

x^2 + y^2 = 30^2

I don't know if this is right or not. That would mean that the roller coaster has no clearance and at the lowest point, it would scrape the ground (although not enough to dig a hole).

Part B

y^2 = 900 - x^2

y = sqrt(900 - x^2)

Part C

The graph is actually y = - sqrt(900 - x^2)

That's the only model I can come up with

The wording of the question does not allow for the condition that you want. (0,0) is not the center of the graph the way they want it. See the second graph).

Perhaps it means graph15b. I can't really tell.

You need to add 3 5/9 to make 8. If you want to know what 4 4/9 goes to, to make 8, do the opposite which is subtracting. 8 turn to 7 9/9 and then subtract 4 4/9 and then you get the answer aka 3 5/9.

Answer:

2x (X+1)

Step-by-step explanation:

The point (1,6) belongs to the solution region of the system of inequalities.

The system of inequalities is given as:

y>1.5^x + 4

y< 2/3x + 6

Next, we plot both inequalities on a graph (see attachment)

From the attached graph, the point (1,6) is on the solution region of the inequalities

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Answer:

A. Shifted 3 unit right and 2 unit down

Step-by-step explanation:

Let's determine the reason for the answer.

We will use a reference point, only one point to determine the reason.

Because the both shape are identical.

Let's use point A

The position of A is 2 on the y axis and 1 on the x axis

While the position of A' is 0 on the y axis and 4 on the X asis

Let's know how many units where moved from the position.

A' -A

For X axis

4-1= 3

For y axis

0-2= 2(we need only the magnitude)

So its 2 units Down and 3 unit right

Answer:

x = 12

Step-by-step explanation:

= 6 * (1/6 x)

= (6) * (2)

x = 12

Hope this helps....

Have a good day ahead :)

Answer:

The awnser is D) X=12

Step-by-step explanation:

Sorry if its blurry:<

Answer:We have,

f(x,y,z)=2x

2

+y

2

+2z=3

∂x

∂f

​

=4x,

∂x

∂f

​

=2y,

∂x

∂f

​

=2z

Step-by-step explanation:

good luck :}

Answer:

  C:  y = -(x +3)² -1

Step-by-step explanation:

You want the vertex-form equation of the parabola with vertex (-3, -1) and opening downward.

For vertex (h, k), the vertex form equation of a parabola is ...

  y = a(x -h)² +k

Given that (h, k) = (-3, -1), the equation will have the form ...

  y = a(x -(-3))² + (-1)

  y = a(x +3)² -1 . . . . . . . . . . matches choice C

The value of 'a' will be negative when the parabola opens downward. Here, its value is -1.

  y = -(x +3)² -1

__

Additional comment

Once you identify the left-shift of 3 units as resulting in an equation with (x +3)² as a component, you can make the appropriate answer choice without considering anything else. Of course, the fact that the curve opens downward immediately eliminates choices A and B.

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Answer:

  3·ln(x) -ln(1+x)

Step-by-step explanation:

You want to "solve" the expression ln(x³/(1+x)).

The relevant rules of logarithms are ...

  ln(a^b) = b·ln(a)

  ln(a/b) = ln(a) -ln(b)

The given log expression can be expanded as ...

  \(\ln{\left(\dfrac{x^3}{1+x}\right)}=\ln(x^3)-\ln(1+x)=\boxed{3\ln(x)-\ln(1+x)}\)

The  number of 50¢ coins is 200, number of  25¢ coins is 360

and number of  10¢ coins is 160.

The quantitative relation between two or more amounts showing the number of times one value is contains or contained within other.

Now the given ratio is 5 : 9 : 4.

and total amount of the coins is $206.

There are three types of coins in the bag, 50¢, 25¢ and 10¢.

Suppose x be the the ratio of coins in the bag.

Hence, number of  50¢ coins = 5x

number of  25¢ coins = 9x

number of  10¢ coins = 4x

Now, given total amount = $206

and since $1 = 100¢

⇒ ($0.5)(5x) + ($0.25)(9x) + ($0.1)(4x) ¢ = $206

Solving them,

⇒ 2.5x + 2.25x + 0.4x = 206

⇒ 5.15x = 206

⇒ x = 40

Therefore,

number of  50¢ coins = 5*40 = 200

number of  25¢ coins = 9*40 =  360

number of  10¢ coins = 4*40 =  160

Hence, number of 50¢ coins is 200, number of  25¢ coins is 360

and number of  10¢ coins is 160.

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The answers for the following questions are given below.

Scientific notation, also known as standard form or exponential notation, is a way of writing numbers that are either very large or very small in a compact and convenient way.

It is commonly used in mathematics, science, engineering, and other fields that deal with very large or very small quantities.

In scientific notation, a number is expressed as a product of a decimal number between 1 and 10 (the significand or mantissa) and power of 10.

b) To plot the populations of the three countries on a number line, we can use a logarithmic scale, which will allow us to represent the large differences in population size on a smaller scale. We can start by marking each power of 10 on the number line and then placing the populations of each country accordingly:

|-----------------|------------------|------------------|------------------|------------------|

10⁰              10¹                 10²                 10³                 10⁴

Panama: 4x10⁶      Peru: 3.2x10⁷    Thailand: 7x10⁷

c) To label the furthest right box on the number line so that all three countries' population fit, we need to find the largest population value among the three countries and then round it up to the nearest power of 10. The largest population value among the three countries is 7x10⁷, so we can round it up to 10⁸. Therefore, we can label the furthest right box on the number line as 10⁸.

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Populations on the number line,

B. Panama: 4x10⁶      

Peru: 3.2x10⁷    

Thailand: 7x10⁷

C. We can label the furthest right box on the number line as 10⁸.

Scientific notation, also known as standard form or exponential notation, is a method of writing very large or very small numbers in a compact and convenient manner.

It is widely used in mathematics, science, technology, and other disciplines that deal with very large or extremely small quantities.

A number is expressed in scientific notation as the product of a decimal number between 1 and 10 (the significand or mantissa) and a power of ten.

B). To  compass the populations of the three countries on a number line, we can use a logarithmic scale, which will allow us to represent the large differences in population size on a  lower scale. We can start by marking each power of 10 on the number line and  also placing the populations of each country consequently .

|-----------------|------------------|------------------|------------------|------------------|

10⁰              10¹                 10²                 10³                 10⁴

Panama: 4x10⁶      Peru: 3.2x10⁷    Thailand: 7x10⁷

C). To label the rightmost box on the number line for the populations of all three countries, we need to find the largest population value among the three countries and round it up to the nearest power of ten. The maximum population of the three countries is 7x10⁷, so we can round up to 10⁸. So we can represent the rightmost box on the number line as 10⁸.

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Around 0.000125 or 0.0125% of the time, the song will be played exactly six out of seven days.

Every day represents a trial in this binomial probability issue, and there are only two potential results:

either the music is played (a success), or it is not (failure). We're looking for the likelihood that exactly 6 out of 7 trials will be successful.

The likelihood of success (performing the song) is 1/6, while the likelihood of failure (not playing the song) is 1 - 1/6 = 5/6, on any given day.

We can use the binomial probability formula to find the probability of exactly 6 successes in 7 trials:

P(6 successes) = (7 choose 6) * (1/6)⁶ * (5/6)¹

where (7 choose 6) is the number of ways to choose 6 days out of 7 to play the song, and is calculated as:

(7 choose 6) = 7! / (6! * 1!) = 7

Plugging in the values, we get:

P(6 successes) = 7 * (1/6)⁶ * (5/6)¹

P(6 successes) ≈0.00012502

Therefore, the probability that the song will be played on exactly 6 days out of 7 is approximately 0.000125 or 0.0125%.

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that would be a ray because it has a single endpoint and extends infinetly in one direction.

Step-by-step explanation:

Simplify the following expression by combining like terms: 8y + 9y - 9 + 4y

8y + 9y - 9 + 4y

21y - 9

Answer: 750

Step-by-step explanation:

multiply 75 x 100 you will get 7500 than divide by 10

Answer:

\(35 \, \textrm{units}^2\)

Step-by-step explanation:

We can represent the area of the shaded region as:

Area of shaded region = Area of big rectangle − Area of small rectangle

\(A_{\textrm{shaded}} = A_{\textrm{big rectangle}} - A_{\textrm{small rectangle}}\)

Now, we can input the areas of the rectangles and solve for \(A_{\textrm{shaded}}\).

\(A_{\textrm{shaded}} = [(2+5) \cdot (7+3)] - (5 \cdot 7)\)

\(A_{\textrm{shaded}} = (7 \cdot 10) - (5 \cdot 7)\)

\(A_{\textrm{shaded}} = 70 - 35\)

\(A_{\textrm{shaded}} = 35 \, \textrm{units}^2\)

So, the area of the shaded region is 35 square units.

b = speed of the boat in still water

c = speed of the current

when going Upstream, the boat is not really going "b" fast, is really going slower, is going "b - c", because the current is subtracting speed from it, likewise, when going Downstream the boat is not going "b" fast, is really going faster, is going "b + c", because the current is adding its speed to it.

Now, the boat goes Upstream 48 miles, so Downstream must be travelling the same 48 miles back.

\({\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Upstream&48&b-c&3\\ Downstream&48&b+c&2 \end{array}\hspace{5em} \begin{cases} 48=(b-c)(3)\\\\ 48=(b+c)(2) \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{using the 1st equation}}{48=(b-c)3}\implies \cfrac{48}{3}=b-c\implies 16=b-c\implies \boxed{16+c=b} \\\\\\ \stackrel{\textit{using the 2nd equation}}{48=(b+c)2}\implies \cfrac{48}{2}=b+c\implies 24=b+c\implies \stackrel{\textit{substituting}}{24=(16+c)+c} \\\\\\ 24=16+2c\implies 8=2c\implies \cfrac{8}{4}=c\implies \boxed{2=c}~\hfill~\stackrel{ 16~~ + ~~2 }{\boxed{b=18}}\)