Position and label the following triangle on the coordinate plane.
Right ΔX Y Z with hypotenuse YZ, the length of XY is b units long, and the length of XZ is three times the length of XY

Answer:

1/16

Step-by-step explanation:

Coin toss

probability 1/2×1/2×1/2×1/2 = 1/16

Answer:

1 granola bar =

Step-by-step explanation:

10 granola bars= $4.00 x 2 = $8.00

15 granola bars=$4.00 x 3 = $12.00

20 granola bars=$4.00 x 4 = $16.00

1 granola bar = $0.80p

Answer:

t = 0

Step-by-step explanation:

t + t = 0 , that is

2t = 0 ( isolate t by dividing both sides by 2 )

t = [tex]\frac{0}{2}[/tex] = 0

Answer:

t=0

Step-by-step explanation:

t+t is 0 and since were not given any numbers for t its automatically 0

n=4  is the value of if, when 2 of the socks are chosen randomly, the probability that they are both r e d i s 12.

What is the probability in simple terms?

Number of socks = n .

Number of red socks = 3 .

Given

       3C2nC2=12

     ⇒nC2=3×2=6

    ⇒n=4

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Answer:

2 line is the answer to the questions

Step-by-step explanation:

4.

[tex] = \frac{5ab}{ {a}^{2} - {b}^{2} } - \frac{a - b}{a + b} [/tex]

[tex] = \frac{5ab}{ {a}^{2} - {b}^{2} } - \frac{(a - b)(a - b)}{ {a}^{2} - {b}^{2} } [/tex]

[tex] = \frac{5ab}{ {a}^{2} - {b}^{2} } - \frac{ {a}^{2} - 2ab + {b}^{2} }{ {a}^{2} - {b}^{2} } [/tex]

[tex] = \frac{5ab - ( {a}^{2} - 2ab + {b}^{2} ) }{ {a}^{2} - {b}^{2} } [/tex]

[tex] = \frac{5ab - {a}^{2} + 2ab - {b}^{2} }{ {a}^{2} - {b}^{2} } [/tex]

[tex] = \frac{7ab - {a}^{2} - {b}^{2} }{ {a}^{2} - {b}^{2} } [/tex]

[tex] \: [/tex]

5.

[tex] = \frac{5}{n + 5} + \frac{4n}{2n + 6} [/tex]

[tex] = \frac{5}{n + 5} + \frac{4n}{2(n + 3)} [/tex]

[tex] = \frac{5}{n + 5} + \frac{2n}{n + 3} [/tex]

[tex] = \frac{5(n + 3) + 2(n + 5)}{ {n}^{2} + 8n + 15 } [/tex]

[tex] = \frac{5n + 15 + 2n + 10}{ {n}^{2} + 8n + 15} [/tex]

[tex] = \frac{7n + 25}{ {n}^{2} + 8n + 15} [/tex]

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's solve these problems ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{5ab}{ {a}^{2} - {b}^{2} } - \dfrac{a - b}{a + b} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{5ab}{ (a + b)(a - b) } - \dfrac{a - b}{a + b} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{5ab - (a - b)(a - b)}{ (a + b)(a - b) } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{5ab - (a - b) {}^{2} }{ {a}^{2} - b {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{5ab - (a {}^{2} - 2ab + {b}^{2} ) {}^{} }{ {a}^{2} - b {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{5ab - a {}^{2} + 2ab - {b}^{2} {}^{} }{ {a}^{2} - b {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{7ab - a {}^{2} - {b}^{2} {}^{} }{ {a}^{2} - b {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{5}{n + 5} + \dfrac{4n}{2n + 6} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{5(2n + 6) + 4n(n + 5)}{(2n + 6)(n + 5)} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{10n +30 + 4n {}^{2} + 20n}{2n {}^{2} + 10n + 6n +30} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{4n {}^{2} + 30n + 30}{2n {}^{2} + 16n + 30} [/tex]

[ taking 2 common out ]

[tex]{ \qquad \sf  \dashrightarrow \: \dfrac{2n {}^{2} + 15n + 15}{n {}^{2} + 8n + 15}} [/tex]

If the expression 16t² models the distance in feet that an object falls during the first t seconds after being dropped then the distance the object falls during 0.25 second time is 1 feet

Given,

The expression of distance in feet that an object falls = [tex]16t^{2}[/tex]

Where t is the time seconds

Then the time = 0.25 second

Substitute the values in the expression = [tex]16(0.25)^{2}[/tex]

=1 feet

Hence, If the expression 16t² models the distance in feet that an object falls during the first t seconds after being dropped then the distance the object falls during 0.25 second time is 1 feet

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The scaled distance using the given scale factor is; 1.613 units

We are given;

Distance between Earth and the sun = 150, 000, 000 km

Now, we are given that the scale model that represents Distance between Earth and the sun is 1:93,000,000.

This means that 1 unit represents 93000000 kilometers. Thus;

The scaled distance using the given scale factor is;

150,000,000/93,000,000 = 1.613 units

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Answer:

-440

Step-by-step explanation:

Simplify

2(-4)^2+(-4)^3+24-18(-12)2

2(16)+(-64)+24-432

32-64+24-432

-440

Answer: x=14

Step-by-step explanation:

First let's find all the inner angles of the triangle.

124+DCB=180 ==> Angles DCB and 124 lie on a straight line. Straight lines measure 180 degrees and are called straight angles.

124+DCB=180

124-124+DCB=180-124

DCB=180-124

DCB=56 degrees

6x+CBD=180 ==> straight angle

2x+CBD+56=180 ==> total degrees of a triangle is 180 degrees

6x+CBD=2x+CBD+56 ==> they both equal 180

6x+CBD-CBD=2x+CBD-CBD+56

6x=2x+56

6x-2x=2x-2x+56

4x=56

4x/4=56/4

x=14

The recipe of flour and sugar can be given as an example where we will get the ratio as 4 : 1.

The example is with flour and sugar

Let

x = the number of cups of flour

y =  the number of cups of sugar

We know that:

Ratio means the comparison between the two values.

Ratio = x / y

Now, we can let

x = 1 / 2 cups of flour

y = 1 / 8 cups of sugar

Ratio will be

= 1 / 2 : 1 / 8

= 8 : 2

= 4 : 1

Therefore, the recipe of flour and sugar can be given as an example where we will get the ratio as 4 : 1.

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The expression that gives the number of gallons of paint that Miki will need to buy to paint her room is F. (x + 6) / (x + 4)

Expression:

Expression are the mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given,

The area of Miki's room is x²+8 x+12 square feet. A gallon of paint will cover an area of x²+6 x+8 square feet.

Here we need to find the expression that gives the number of gallons of paint that Miki will need to buy to paint her room .

The number of gallons of paint required to paint the room is calculated by dividing the expression.

Then we get,

=> [tex]\frac{x^{2} +8 x+12}{x^2+6x+8}[/tex]

Factor the numerator and the denominator to simplify the fraction.

So, the factors of

=> x² + 8x + 12 = (x+6) (x+2)

and the factors of

=> x² + 6x + 8 = (x+4) (x+2)

When we apply the factors instead of the given expression,

Then we get,

=> [tex]\frac{(x+6)(x+2)}{(x+4)(x+2)}[/tex]

After the simplification we get,

=> (x +6) / (x + 4)

So, the option is F. (x+6) / (x+4) is the correct expression that gives the number of gallons of paint that Miki will need to buy to paint her room .

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The equation of the line in point-slope form, which passes through the pair of points located at (-4 , -3) and (2 , 7), is y + 3 = 5/3(x + 4).

The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.

The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).

Getting the slope of the two points: (-4 , -3) and (2 , 7).

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

m = (7 - -3)/(2 - -4)

m = 10/6

m = 5/3

Using the point slope form, plug in the values of the slope and Point A to set up the equation.

(y - y1) = m(x - x1)

where m = 5/3 and (x1 , y1) = (-4 , -3)

(y - -3) = 5/3(x - -4)

y + 3 = 5/3(x + 4)

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Simplify each rational expression. State any restrictions on the variable.

[tex]\frac{c^{2}-8c+12 }{c^{2}-11c+30 }=\frac{(c-2)}{(c-5)}[/tex]

How the rational expression is simplified?

[tex]\frac{c^{2}-8c+12 }{c^{2}-11c+30 }\\\\= > \frac{(c-2)(c-6)}{(c-5)(c-6)} \\= > \frac{(c-2)}{(c-5)}[/tex]

What are the restrictions on the variable ?

If c= 5 , the denominator becomes,

[tex]c^{2} -11c+30[/tex]  =25-55+30=0

⇒   [tex]\frac{c^{2}-8c+12 }{c^{2}-11c+30 }=\infty[/tex]

If c= 6 ,the denominator becomes,

[tex]c^{2} -11c+30[/tex] = 36- 66+30=0

⇒   [tex]\frac{c^{2}-8c+12 }{c^{2}-11c+30 }=\infty[/tex]

So, the restrictions on the variable are:  c≠ 5,6

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Answer:

The answers are as follows:

Answer:

perhaps it is 7.09809809876 or it might be 5.437437437, a recursive number.

Step-by-step explanation:

i might be

Answer:

x = 44.25

Step-by-step explanation:

9 + 6.6x = 7x - 8.7

    -7x       -7x

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

9 - 0.4x = -8.7

-9             -9

-0.4x = -17.7

÷-0.4   ÷-0.4

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

x = 44.25

From the values that we have the magnitude of the value of the stock A would be given as 4.15. Option A is correct.

This is the term that is sued to refer to how far the run of a particular stock is in terms of its price. In order to get the magnitude, we would have to find the absolute value of the stock A as we have it here.

Remember the absolute value would have to change the value to be positive if it was negative.

Hence we would have

I-4.15I = 4.15

Hence the solution is 4.15

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The car's velocity after 15 seconds is 60.3 m/s.

The linear regression equation obtained by fitting the data using technology is:

The approximate velocity at time = 0 and x = 0 is as follows:

After 15 seconds, the velocity is:

Therefore, the car's velocity after 15 seconds is 60.3 m/s.

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Answer:

[tex]x = \frac{64}{3} [/tex]

Step-by-step explanation:

Based on the given conditions:

[tex] \frac{x}{32} = \frac{12}{12 + 6} ⟹ \frac{x}{32} = \frac{12}{18} [/tex]

Cross multiply the above

[tex]18x = 384 [/tex]

Divide both sides by 18 to find the value of x

[tex]x = \frac{384}{18} [/tex]

Therefore:

[tex]x = \frac{64}{3} [/tex]

The explicit formula is [tex]a_{n}[/tex] = a[tex]r^{n-1}[/tex]

For the Geometric sequence, the explicit formula for the nth term is

  [tex]a_{n}[/tex] = a[tex]r^{n-1}[/tex]

Where,

  a = first number of the series

  r = common ratio

 n = number of series

 [tex]a_{1}[/tex] = a

 [tex]a_{2}[/tex] = ar

 [tex]a_{3}[/tex] = a [tex]r^{2}[/tex]

.....

Therefore the series is a, ar, a[tex]r^{2}[/tex], a[tex]r^{3}[/tex],,,,.....

Here we have the series 25, 5, 1, 1/5

Here common ratio = 1/5

and if we want to find the 5th term the formula is

[tex]a_{5}[/tex] = 25 ×[tex](\frac{1}{5} )^{4}[/tex]

    = [tex]\frac{1}{25}[/tex]

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The standard deviation of this distribution is 9.65 minutes.

Due to its description in terms of the second central moment, the standard deviation naturally arises in mathematical statistics.

Any distribution with finite first two moments can have its standard deviation defined, although the most common assumption is that the underlying distribution is normal.

In the above given question it is stated that:

mean(μ) of the distribution is 45 and let us consider the standard deviation to be σ

We convert this to standard normal as

[tex]P(X < x) = P(Z < \frac{( x - \mu)} {\sigma})[/tex]

We have , P(X > 55) = 0.15  (15%)

This can be simplified as:

P(X < 55) = 1 - 0.15

P(X < 55) = 0.85

[tex]P(Z < \frac{( x - \mu)} {\sigma}) = 0.85[/tex]

From Z table, z-score for the probability of 0.85 is found out to be  1.0364 ,

therefore :

[tex]\frac{( 55 - 45)}{ \sigma }= 1.0364\\\\ \sigma = ( 55 - 45) / 1.0364 \\\\\sigma = 9.65[/tex]

Hence the standard deviation is 9.65 minutes.

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Step-by-step explanation:

Have you understand? please notify when you don't understand

Answer:

D

Step-by-step explanation:

X and y come together at (0,0) right?

Answer: Yes only if is is so hot it will burn yout tung but you dont want cold coffe so

Step-by-step explanation:

Answer:

Step-by-step explanation:

I agree with the first answer but maybe people like cold brews, i know i do. also people on here be asking the craziest questions bro like i just answered "what are your thoughts about brainly being a dating app" i was like what ;-;