AC = 23. AB = 2x + 2, and BC = 3x + 6. Find BC ​

1. 1. Vocabulary  What does the exponent in the expression [tex]5^{6}[/tex] tell you?

Answer: it means that [tex]5[/tex] is multiplied by itself [tex]6[/tex] times: [tex]5^{6} =5*5*5*5*5*5=15625[/tex]

1. 2. [tex]4*4=4^{2}=16[/tex]

The power is [tex]2[/tex] or square, notice how the geometric model is made out of dots forming a flat square.

1. 3. [tex]2*2*2*2=2^{3} =8[/tex]

The power is [tex]3[/tex] or cube, notice how the geometric model is a cube.

1. 4. [tex]9*9=9^{2}=81[/tex]

The power is [tex]2[/tex] or square, notice how the geometric model is a flat square.

2. 5. [tex]7^{2} =49[/tex]

2. 6. [tex](-2)^{4} = -2*-2*-2*-2=4*4=16[/tex]

2. 7. [tex](-2)^{5} =16*-2=-32[/tex]

2. 8. [tex]-(\frac{1}{2})^{4}=-(\frac{1^{4} }{2^{4}})=-(\frac{1}{16})=-\frac{1}{6}[/tex]

3. 9. [tex]81=9^{x}, \frac{81}{9} = 9,9*9=9^{2}[/tex]

3. 10. [tex]100000=10^{x} , \frac{100000}{10} =10000, \frac{10000}{10}=1000, \frac{1000}{10}=100, \frac{100}{10}=10,[/tex]

         [tex]10*10*10*10*10=10^{5}[/tex]

3. 11. [tex]-64 = -4^{x}, \frac{-64}{-4}=16, \frac{16}{-4}=-4, -4*-4*-4=-4^{3}[/tex]

3. 12. [tex]10 = 10^{x}, \frac{10}{10}=1, 10*1=10 =10^{1}[/tex]

3. 13. [tex]81 =3^{x}, \frac{81}{3}= 27,\frac{27}{3}=9, \frac{9}{3}=3, 3*3*3*3=3^{4}[/tex]

3. 14. [tex]36=-6^{x} , \frac{36}{-6}= -6, -6*-6=(-6)^{2}[/tex]

4. 15. Technology First week => [tex]3[/tex] hits, every week => the number of hits triples, means [tex]3^{3}[/tex], 5th week => hits every week * 5 = [tex]3^{3}*5=27*5=135[/tex] hits.

I apologize if there's any misspelling or wrong answer.

Answer:

I'm going to say A

Step-by-step explanation:

For sure the next would be blue but this is just my guess.

The most likely next step in the series is Option A, where a blue ray is added 90 degrees to the left along with the existing rays.

It appears that the pattern involves adding a ray 90 degrees to the left and alternating colors between red and blue. The first figure is a 180 degrees line with arrows on both sides of red color.

Based on this pattern, the most likely next step would be to add a blue ray 90 degrees to the left, while keeping the existing rays and alternating colors. Therefore, the next step would be Option A, where the figure is blue in color with a ray added to the left along with the already present rays.

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Answer:

Solution : 3.6 miles

Step-by-step explanation:

The first step in solving this problem is to convert 15' to degrees --- (1) . 15' is represented as 15 minutes, so to convert to degrees we have 15 / 60 = 0.25°. Adding 20 + 15' we should get 20 + 0.25 = 20.25 (degrees).

Now remember that on the right side we have the football field, 62° 30'. Let's convert that 30' into degrees --- (2). 30 / 60 = 0.5, and 62 + 0.5 = 62.5.

Using both this information we can calculate the angle from the balloon to the horizontal. That would be 180 - 20.25 - 62.5 = 97.25°. Therefore the distance from the balloon to the soccer fields would be as follows,

distance / sin(62.5) = 4 / sin(97.25)

Let distance = x ...

x / sin(62.5) = 4 / sin(97.25),

x / 0.88701083317 = 4 / 0.99200494968,

x * 0.99200494968 = 4 * 0.88701083317,

x * 0.99200494968 = 3.548,

x = ( About ) 3.5766 miles

Given the options the distance from the balloon to the soccer fields would be 3.6 miles.

Answer:

[tex]-\frac{11}{12}[/tex]

Step-by-step explanation:

[tex]1\frac{5}{6}+\left(-2\frac{3}{4}\right)\\\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 1\frac{5}{6}=\frac{11}{6}\\\frac{11}{6}+\left(-2\frac{3}{4}\right)\\\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 2\frac{3}{4}=\frac{11}{4}\\\frac{11}{6}+\left(-\frac{11}{4}\right)\\\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a\\=\frac{11}{6}-\frac{11}{4}\\\\\mathrm{Least\:Common\:Multiplier\:of\:}6,\:4:\quad 12\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\[/tex]

[tex]=\frac{22}{12}-\frac{33}{12}\\\\=\frac{22-33}{12}\\\\=\frac{-11}{12}\\\\=-\frac{11}{12}[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{\boxed{ \sf{ \frac{216}{175} }}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ \frac{6}{5} \times \frac{9}{5} \times \frac{4}{7} }[/tex]

Multiply the numerators for the numerator and multiply the denominators for its denominator

⇒[tex] \sf{ \frac{6 \times 9 \times 4}{5 \times 5 \times 7} }[/tex]

⇒[tex] \sf{ \frac{216}{175} }[/tex]

Hope I helped!

Best regards!

Answer:

Step-by-step explanation:.66

66

Step-by-step explanation:

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see the attachment...........

Answer:

40 + 2x ≥ 75

Step-by-step explanation:

X equals 18 or above. This means that in order to meet her goal of $75 dollars, Charlotte needs to schedule at least 18 appointments.

Answer:

A=

2x+40=75

B=

Charlotte would have to schedule 18 appointments.

First you have to subtract 40 from 75 which equals 35

Second you divide 35 by 2 which equals 17.5

Since Charlotte can't schedule 17 1/2 appointments so you round up to 18

Step-by-step explanation:

Answer:

1) [tex](f+g)(x)=2x^2+3x-6[/tex]

2) [tex](f-g)(x)=2x^2+x[/tex]

3) [tex](f \cdot g)(x)=2x^3-4x^2-9x+9[/tex]

Step-by-step explanation:

So we have the two functions:

[tex]f(x)=2x^2+2x-3\text{ and } g(x)=x-3[/tex]

And we want to find (f+g)(x), (f-g)(x), and (f*g)(x).

1)

(f+g)(x) is the same to f(x)+g(x). Substitute:

[tex](f+g)(x)=f(x)+g(x)\\=(2x^2+2x-3)+(x-3)[/tex]

Combine like terms:

[tex]=(2x^2)+(2x+x)+(-3-3)[/tex]

Add:

[tex]=2x^2+3x-6[/tex]

So:

[tex](f+g)(x)=2x^2+3x-6[/tex]

2)

(f-g)(x) is the same to f(x)-g(x). So:

[tex](f-g)(x)=f(x)-g(x)\\=(2x^2+2x-3)-(x-3)[/tex]

Distribute:

[tex]=(2x^2+2x-3)+(-x+3)[/tex]

Combine like terms:

[tex]=(2x^2)+(2x-x)+(-3+3)[/tex]

Simplify:

[tex]=2x^2+x[/tex]

So:

[tex](f-g)(x)=2x^2+x[/tex]

3)

(f*g)(x) is the same to f(x)*g(x). Thus:

[tex](f\cdot g)(x)=f(x)\cdot g(x)\\=(2x^2+2x-3)(x-3)[/tex]

Distribute:

[tex]=(2x^2+2x-3)(x)+(2x^2+2x-3)(-3)[/tex]

Distribute:

[tex]=(2x^3+2x^2-3x)+(-6x^2-6x+9)[/tex]

Combine like terms:

[tex]=(2x^3)+(2x^2-6x^2)+(-3x-6x)+(9)[/tex]

Simplify:

[tex]=2x^3-4x^2-9x+9[/tex]

So:

[tex](f \cdot g)(x)=2x^3-4x^2-9x+9[/tex]

Answer:

Step-by-step explanation:

Given RS = 6y+2, ST=3y +7, and RT=13y-23, the vector formula is true for the equations given; RS+ST = RT

Om substuting the expression into the formula;

6y+2+3y +7 = 13y - 23

collect the like terms

6y+3y-13y+2+7+23 = 0

-4y+32 = 0

Subtract 32 from both sides

-4y+32-32 = 0-32

-4y = -32

y = -32/-4

y = 8

Since ST = 3y+7. we will substitute y = 8 into the exprrssion to get ST

ST = 3(8)+7

ST = 24+7

ST = 31

Similarly,

RT = 13y-23

RT = 13(8)-23

RT = 104-23

RT = 81

Hence y = 8, ST = 31 and RT = 81

Answer: Ray has 17 trucks .

Step-by-step explanation:

Let x = number of cars

y = number of trucks

As per given

x+y= 43    (i)

2y-8=x    (ii)

We can rewrite (ii) as

x-2y= -8      (iii)

Subtracting (iii) from  (i), we get

y- (-2y)= 43- (-8)

⇒ y+2y= 43+8

⇒ 3y=51

Divide both sides by 3

⇒ y = 17

Now, put this in (ii), we get

x= 2(17)-8=34-8 =26

Hence, Ray has 17 trucks and 26 cars.

Answer:

16in

Step-by-step explanation:

Answer:

Height = 16 in

Step-by-step explanation:

C = Hypotenuse = the longer side of a triangle

A = Height

B = Base

=> a^2 + b^2 = c^2

=> a^2 + 30^2 = 34^2

=> a^2 + 900 = 1156

=> a^2 + 900 - 900 = 1156 - 900

=> a^2 = 256

=> Square root of a^2 = Square root of 256

=> a = 16

So, The Height of the triangle = 16 in.

Answer:

Negative = -100,000

Step-by-step explanation:

Simplify the following:

(-10)^5

Hint: | Determine the sign of (-10)^5.

(-10)^5 = (-1)^5×10^5 = -10^5:

-10^5

Hint: | 10^5 expands to the number one followed by 5 zeros.

10^5 = 100000:

Answer: -100000

Answer:

[tex]\angle A = 40^o[/tex]

Step-by-step explanation:

Notice that angle A is identified with the algebraic expression "7 + 3 x", while the other acute angle is identified with the expression "5 x - 5"

We know that the third angle is a right angle (90 degrees),

and also that the sum of the internal angles in a triangle must give 180 degrees, so we have:

[tex]\angle A + \angle B+ 90^o = 180^o\\(7+3\,x)+(5\,x-5)=180^o-90^o\\7+3\,x+5\,x-5=90^o\\8\,x+2 = 90^o\\8\,x=88^o\\x=11^o[/tex]

Now that we know x, we can give the answer for what angle A is:

[tex]\angle A= 7^o+3\,x\\\angle A =7^o+3\,(11^o)\\\angle A = 7^o+33^o\\\angle A = 40^o[/tex]

Answer:

3.5cm

Step-by-step explanation:

Please see attached picture for full solution.

Volume of cylinder= πr²h, where r is the radius and h is the height.

Answer:

They will meet in 1.8 hours.

Step-by-step explanation:

Given that, distance between trains = 306 miles

Let they take time [tex]'t'[/tex] to meet each other.

Speed of first train = 90 mph

Speed of second train = 80 mph

Let distance traveled by first train = [tex]D_1[/tex] miles

Formula for distance:

[tex]Distance = Speed \times Time[/tex]

Distance traveled by first train, [tex]D_1 = 90t[/tex]

Let distance traveled by first train = [tex]D_2[/tex] miles

Formula for distance:

[tex]Distance = Speed \times Time[/tex]

Distance traveled by first train, [tex]D_2 = 80t[/tex]

Total distance traveled is 306 miles.

i.e.

[tex]D_1+D_2=306\\\Rightarrow 90t +80t=306\\\Rightarrow 170t=306\\\Rightarrow t =\dfrac{306}{170}\\\Rightarrow \bold{t=1.8\ hr}[/tex]

They will meet in 1.8 hours.

Answer:

(10, - 6)

Step-by-step explanation:

P = (7, - 5)

T(P) = [x +3, y + (-1)]

T(P) = [7 +3, - 5+ (-1)]

T(P) = [7 +3, - 5 -1]

T(P) = (10, - 6)

The translated coordinates of the points  (7,-5) will be  (10, 2).

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

The image point of (7,-5)after a translation right 3 units and down 1 unit will be,

= [(7+3), (3-1)].

= (10, 2).

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Answer:

31

Step-by-step explanation:

Answer: 31

Step-by-step explanation:

1. Multiply 28+6-12/4

2. Divide 28+6-3

3. Add 34-3

4. Subtract 31

Answer:

12 (D)

Step-by-step explanation:

The first one is 2:1.2 so i did x10 on it to get 20:12.

The missing value in the table is 12 miles.

Option D is the correct answer.

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 hour = 60 minutes

1 km = 1000 m

1 minute = 60 seconds

We have,

Kilometer    Miles

2                     1.2

7                     4.2

20                  12

30                  18

We see that,

2 km = 1.2 miles

Multiply 7/2 on both sides.

7  km = 7/2 x 1.2 miles

7 km = 4.2 miles

Multiply 20/ 7 on both sides.

20 km = 12 miles

Thus,

20 km is 12 miles.

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Answer:

C. 0.33

Step-by-step explanation:

Answer:

0.3

.

.

.

.

Step-by-step explanation:

yea yea yea yea yea

Greetings from Brasil...

The expression that allows you to calculate the distance between two points is:

Bringing to our problem:

d(A; B) = √[(9 - 0)² + (14 - 2)²]

d(A; B) = √[9² + 12²]

d(A; B) = √[81 + 144]

d(A; B) = √[225]

Answer:

[tex]$\frac{10}{9} $[/tex]

Step-by-step explanation:

[tex]$\frac{4}{9} -\left(-\frac{2}{3} \right)$[/tex]

[tex]$\frac{4}{9} +\frac{2}{3} $[/tex]

[tex]$\frac{4}{9} +\frac{6}{9} $[/tex]

[tex]$\frac{10}{9} $[/tex]

Answer:

Just multiply 7*-1 which would equal -7

Answer:

is the same X×Y,Y×X

that is the answer of your question

Answer:

maybe the answer is umm 0.75?? hope that works

Answer:

0.8

Step-by-step explanation:

3/4 = 0.75

to 1d.p = 0.8

Answer:

121 tickets

Step-by-step explanation:

16x7+9=121

I hope this helps

Answer:

y = 4

Step-by-step explanation:

find full equation by plugging in P

y = mx + b

y = 6x + b

-5 = 6(2) + b

-5 = 12 + b

b = -17

y = 6x - 17

find y-value by plugging in x-value to equation

y = 6(3.5) - 17

y = 21 - 17

y = 4