Combine the like terms to create an equivalent expression:
8t +1 + (-4t) + (-6)

[tex]~~~~~~(8x-17)+(3x+2)+63 = 180\\\\\implies 11x +48=180\\\\\implies 11x = 180-48\\\\\implies 11x = 132\\\\\implies x= \dfrac{132}{11}\\\\\implies x= 12[/tex]

Answer:

x = 12.

Step-by-step explanation:

The sum of the 3 angles is 180, so:

8x - 17 + 3x + 2 + 63 = 180

11x -15 + 63 = 180

11x = 180  + 15 - 63

11x = 132

x = 132/11 = 12

Answer:

1311

Step-by-step explanation:

Step-by-step explanation:

[tex] = ( - 4s + 9) + (4s - 6)[/tex]

[tex] = - 4s + 9 + 4s - 6[/tex]

[tex] = - 4s + 4s +9 - 6[/tex]

Now subtract.....

[tex] = \boxed{\sf{3}}[/tex]

hence the answer is 3 ....

hope it helped !!!!

Answer:

don't understand

what do u mean

Answer:

0.48.

Step-by-step explanation:

There are 2 ways that a tail lands once:-

Tail + head or

head + tail.

Prob(Tail on one throw) = 0.4

Prob(Head on one throw) = 1 - 0.4 = 0.6.

Prob(Tail first then head) = 0.4 * 0.6 = 0.24

Head then tail has the same probability (0.6*0.4).

So the requred probability = 0.24 + 0.24

= 0.48.

Answer:

bule is in the spot of green in the sixth place of box 5

Step-by-step explanation:

The probability of getting the green apple is 7/20 option (B) 7/20 is correct.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

P(red) = 2/5

P(yellow) = 1/4

The sum of the probability of the event is 1.

P(red) + P(yellow) + P(green) = 1

2/5 + 1/4 + P(green) = 1

P(green) = 1 - (2/5 + 1/4)

P(green) = 7/20

Thus, the probability of getting the green apple is 7/20 option (B) 7/20 is correct.

Learn more about the probability here:

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Answer:

(a)  (3, 0) and (-8, 0)

(b)  (-2.5, 0)

(c) x = -2.5

(d) f(-2.5) = -30.25

Step-by-step explanation:

Given quadratic function:

[tex]f(x)=(x-3)(x+8)[/tex]

The x-intercepts are when [tex]f(x)=0[/tex]

[tex]\implies f(x)=0[/tex]

[tex]\implies (x-3)(x+8)=0[/tex]

[tex]\implies (x-3)=0 \implies x=3[/tex]

[tex]\implies (x+8)=0 \implies x=-8[/tex]

Therefore, the x-intercepts are (3, 0) and (-8, 0)

Midpoint between two points:

[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad[/tex]

[tex]\textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}}\right)[/tex]

[tex]\implies \textsf{Midpoint of the x-intercepts}=\left(\dfrac{-8+3}{2},\dfrac{0+0}{2}\right)=\left(-2.5},0\right)[/tex]

The extreme point of a quadratic function in the form [tex]f(x)=ax^2+bx+c[/tex] is:

[tex]x=-\dfrac{b}{2a}[/tex]

Therefore, expand the function so that it is in standard form:

[tex]\implies f(x)=x^2+5x-24[/tex]

[tex]\implies a=1, b=5[/tex]

Therefore, the extreme value is:

[tex]\implies x=-\dfrac{5}{2}=-2.5[/tex]

Alternative method

A quadratic function has an extreme value at its vertex.

The x-value of the vertex is the midpoint of the x-intercepts.

Therefore, the extreme value is x = -2.5

[tex]\begin{aligned}\implies f(-2.5) & =(-2.5-3)(-2.5+8)\\& = (-5.5)(5.5)\\& = -30.25\end{aligned}[/tex]

Answer: A

Step-by-step explanation:

Answer:

Box 2

Step-by-step explanation:

Box 1: 2x3x2=4x3=12

Box 2: 2x3x1=6x1=6

Box 3: 2x3x4=6x4=24

Answer:

I might be wrong but i thik its 1...

If im wrong ill give u 100 points

Step-by-step explanation:

Answer:

42.29

Step-by-step explanation:

a^2+b^2=c^2

5^2+45^2=c^2

25+1764=c^2

1789 = c^2

sqrt 1789

= 42.29

Answer:

Step-by-step explanation:

im pretty sure its 16 or 17,

Answer:

[tex]12+x+4=16+x[/tex]

Step-by-step explanation:

Answer:

she will pay 614.14 because 523 + 18% = 6.14.14

Step-by-step explanation:

Hope this helps!!

An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression (−3+2j)(4j−7) is 8j²-26j+21.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value of the expression (−3+2j)(4j−7) can be expression is,

(−3+2j)(4j−7)

= -12j + 21 + 8j² -14j

= 8j² -26j +21

Hence, the value of the expression (−3+2j)(4j−7) is 8j²-26j+21.

Learn more about Expression:

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Answer:

The answer is b (the second option)

Step-by-step explanation:

Answer:

0.02<P-value<0.04

Step-by-step explanation:

solved in Khan Academy

[tex]\bf (x+y)^2(x-y)^2[/tex]

==============

===============

[tex]\rightarrow \sf x^4-2x^2y^2+y^4[/tex]

breakdown

[tex]\rightarrow \sf x^4-x^2y^2-x^2y^2+y^4[/tex]

factor common term

[tex]\rightarrow \sf x^2(x^2-y^2)-y^2(x^2-y^2)[/tex]

collect in groups

[tex]\rightarrow \sf (x^2-y^2)(x^2-y^2)[/tex]

apply difference between two square method: x² - y² = (x+ y)(x-y)

[tex]\rightarrow \sf (x+y)(x-y) (x+y)(x-y)[/tex]

simplify

[tex]\rightarrow \sf (x+y)^2(x-y)^2[/tex]

If the value of a and e is 5 and 4, then the value of b is 3. Then the equation of the ellipse will be given below.

[tex]\rm \dfrac{x^2 }{25} +\dfrac{y^2}{9} = 1[/tex]

Ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called foci adds up to a constant. It is taken from the cone by cutting it at an angle.

The vertices (±5,0) and foci (±4,0) are given. Then the equation of the ellipse will be

We know that the general equation of the ellipse will be

[tex]\rm \dfrac{x^2 }{a^2} +\dfrac{y^2}{b^2} = 1[/tex]

Then the value of a will be

a = 5

And the value of the eccentricity will be

e = 4/5

Then the value of the b will be

[tex]\rm b^2 = a^2 - a^2e^2\\\\b^2 = 5^2 - 5^2 \times \dfrac{4^2}{5^2}\\\\b^2 = 25 - 16\\\\b \ = 3\\[/tex]

Then the equation will be

[tex]\rm \dfrac{x^2 }{5^2} +\dfrac{y^2}{3^2} = 1\\\\\rm \dfrac{x^2 }{25} +\dfrac{y^2}{9} = 1[/tex]

More about the ellipse link is given below.

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Given

[tex] \text{Length of the tree= 25 feet} \\ \text{Angle of Elevation= 30°}[/tex]

[tex] \text{Height Of The Tree}[/tex]

[tex] \text{Let The Height of the Tree be ‘x’}[/tex]

We Know:-

[tex] \tan\theta = \frac{ \text{perpendicular}}{ \text{base} }[/tex]

[tex] \tan \theta = \frac{ \text{height of the tree}}{ \text{length of the base}} \\ \\ \implies \tan30 = \frac{ \text{x}}{25} \\ \\ \implies \text{x }= 25 \times \tan30 \\ \\ \implies \text{x }= 25 \times 0.577 \\ \\ \implies \text{x} = 14.425 \\ \\ \implies \text{x} = 14.43[/tex]

[tex] \therefore \text{height of the tree(\text{x})} = \red{14.43 \: \text{feet}}[/tex]

Option C is the correct answer

Answer:

9, if you round to 2 Decimal Places.

(C = 18π = 18 × π = 56.54 (2 DP))

r = C ÷ 2π

   = 56.54 ÷ 2 × π ≈ 9

Answer:

Step-by-step explanation:

Subtract:

-6x-3 from 2x-5

2x - 5 -(-6x - 3) =

2x - 5 + 6x + 3 =

8x -2

Answer:

89%

Step-by-step explanation:

500-55=445

445/500=0.89

0.89x100=89

$500- $55= $445

445/500 = 89/100

89/100 × 100/1= 89%

Answer: 89%

Answer:

1, 2 +, 3 | 1, +, + | 1 +, 2 +, +

1, 2, 3, 4 | 2, 3, 5, 6 | 1, 3, 4, 5, 6

Step-by-step explanation:

Answer:

5 times the quotient of 3  ----> 5*(x/3)

a number look like ​------> 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, ....., 10000, ......, 10000000, ............

======================================================

Explanation:

3/6 = 1/2 of the numbers on the cube are even (2,4,6)

If we wanted both cubes to show an even number, then this comes up (1/2)*(1/2) = 1/4 of the time.

There are 6*6 = 36 outcomes total, so there are (1/4)*36 = 9 outcomes when both dice show an even number.

---------

Those nine outcomes are listed below

You probably have noticed that A has 3 choices (2,4,6) and so does B. That gives 3*3 = 9 outcomes total. This is an alternative pathway compared to the previous section.