Write an exponential expression: choose a number between 0 and 10 to be the base and another number between 0 and 10, different from the base, to be the exponent. Label the base and the exponent. Then write the exponential expression in expanded form and standard form.

Answer:

x=8, y=0, z=-3

Step-by-step explanation:

Preferable is substitution because there is less room for mistakes but its long so here goes bare with me on this one :D

Name your equations

4x+2y-5z=47 (first eq)

x-2y+6z=-10 (second eq)

9x-7y-z=75 (third eq)

Lets take the easiest eq to isolate one variable lets take 2nd eq

[tex]x-2y+6z=-10\\x=2y-6z-10[/tex]

now this becomes our fourth eq

now again take the easiest eq to isolate another variable lets take the 3rd eq

[tex]9x-7y-z=75\\9x-7y-75=z[/tex]

now this becomes our fifth eq

and now plug in our fifth eq in the fourth eq because we now have z in terms of x and y

[tex]x=2y-6z-10\\x=2y-6(9x-7y-75)-10\\x=2y-54x+42y+450-10\\x+54x=2y+42y+450-10\\55x=44y+440\\\\x=\frac{44y+440}{55}[/tex]

and now we got our sixth equation which is x only in terms of y.

now we plug in our sixth equation in our fifth eq to get z in terms of y only

[tex]z=9x-7y-75\\\\z=9(\frac{44y+440}{55}) -7y-75\\z=\frac{396y+3960}{55} -7y-75\\z=\frac{396y+3960-385y-4125}{55} \\z=\frac{11y-165}{55}[/tex]

now we have our seventh eq and x &z in terms of just one variable y , now we put equation of z and x which is our sixth eq and seventh eq in our first eq.

[tex]4x+2y-5z=47\\\\4(\frac{44y+440}{55})+2y-5(\frac{11y-165}{55}) =47\\\\\frac{176y+1760}{55} +2y-47=\frac{11y-165}{11} \\\\\frac{176y+1760}{55} -\frac{11y-165}{11} -47=-2y\\\\\frac{176y+1760}{55}-(y-15) -47=-2y\\\\\frac{176y+1760}{55} -y-32=-2y\\\\\\frac{176y+1760}{55}=-2y+y+32 \\\\176y+1760=55(-y+32)\\176y+1760=-55y+1760\\176y-55y=1760-1760\\121y=0\\y=0[/tex]

and now finally we got y=0 now we need the value of x and z, put the value of y=0 in our seventh eq (z equation)

[tex]z=\frac{11y-165}{55} \\\\z=\frac{11(0)-165}{55} \\\\z=\frac{-165}{55}\\\\z=-3[/tex]

and now we put the value of y=0 in our sixth eq (x equation)

[tex]x=\frac{44y+440}{55} \\\\x=\frac{44(0)+440}{55} \\\\x=\frac{440}{55} \\\\x=8[/tex]

and now we got all the three values and hence the solution of the system of equation is

x=8, y=0, z=-3

Answer:

∠BEC = 54°

Step-by-step explanation:

ED and EA are opposite rays, which means that they form a straight angle.

Straight angle = 180°

Which means that,

∠AEB + ∠BEC +∠DEC = ∠AED

This is the equation we are going to use,

We also know that ∠CED = 72°

We know that BE bisects ∠AEC

Know, we know that ∠AEB =  (7x - 2)°

That means ∠BEC = (7x - 2)°  - This is because ∠AEB = ∠BEC

=>(7x - 2)° + (7x - 2)° + 72° = 180°

=> (14x - 4)° + 72° = 180°

=> (14x - 4)° = 180° - 72°

=> (14x - 4)° = 108°

=> 14x = 108° + 4°

=> 14x = 112°

=> x = (112 / 14)°

=> x = 8°

So, know we can find ∠BEC

(7x - 2)°

=> (7 * 8 - 2)°

=> (56 - 2)°

=> 54°

If my answer helped, kindly mark me as the Brainliest!!

Thank You!!

Answer:

I Think D.

Step-by-step explanation:

Answer:

Step-by-step explanation:

huh huh huh huh whatttttttttttttt

Answer:

Step-by-step explanation:

SoOOoooooOOOOOooo . . . lemme explain how do use a stem and leaf plot

Basically, if you have a two-digit number, the first digit goes on the right side of that line and the second digit goes on the left side. BUT YOU HAVE TO MAKE SURE THE NUMBERS ARE IN CHRONOLOGICAL ORDER!!!

Also, like the doc said SINGLE DIGIT NUMBERS ARE TO BE WRITTEN LIKE THIS (example): 0|3, which would equal 3.

SO. Step number one: put the numbers in order from least to greatest.

Step number two: put them on the stem and leaf plot. THIS WOULD BE YOUR ANSWER:

0|2                  = 2

0|3                   =3

0|4             =4

0|5                  =5

0|9                =9

1|0                 =10

1|2                  =12

1|5                   =15

1|5           =15

1|8                   =18

2|0                   =20

2|2              =22

3|5                   =35

3|8                   =38

4|1            =41

Answer:

35 and 37

Step-by-step explanation:

Answer:

35 and 37

Step-by-step explanation:

Answer: D) y ≤ 5/2x + 5

The slope is 5/2 and the y-intercept is 5. The area shaded should be to the right of the line because it is less than or equal to.

Hope this helps!

Answer:

C

Step-by-step explanation:

We'll have to use trigonometry for this.

First, note that in right triangle ABC, if we look from the perspective of angle A, the opposite side is x, the adjacent side is y, and the hypotenuse is 18.

In order to find x, then, we must use sine, which is opposite/hypotenuse. So:

sin(A) = sin(60) = opposite/hypotenuse = x/18

sin(60) is equal to (√3)/2, so multiplying both sides by 18 gives:

[(√3)/2] * 18 = 9√3

Already, we can tell that the answer is likely C, but let's find y to make sure.

We will use cosine to find y because cos = adjacent/hypotenuse.

cos(A) = cos(60) = adjacent/hypotenuse = y/18

cos(60) = 0.5, so multiplying both sides by 18 gives:

0.5 * 18 = 9

So, y = 9.

Thus, C is our answer.

~ an aesthetics lover

Answer:

C

Step-by-step explanation:

Using the cosine/ sine ratio in the right triangle and the exact values

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] and sin30° = [tex]\frac{1}{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{x}{18}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 18[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

x = 9[tex]\sqrt{3}[/tex]

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

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{y}{18}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2y = 18 ( divide both sides by 2 )

y = 9

Thus

x = 9[tex]\sqrt{3}[/tex] and y = 9 → C

Answer:

a. -1

Hope this helps!

The key word here is "may" meaning that we could easily have 3 rational roots as well. An example of a cubic having 3 irrational roots would be

(x-1)(x-2)(x-3) = x³ - 6x² + 11x - 6

This has the rational roots x = 1, x = 2, x = 3.

However, we could easily replace 1,2,3 with any irrational numbers we want. So that's why the statement "a cubic has three irrational roots" is sometimes true.

In some cases, a cubic may only have 1 real root and the other 2 roots are imaginary.

Answer:

45

Step-by-step explanation:

Given that the number of savory dishes is 9 and the number of sweet dished is 5.

Denoting all the 9 savory dishes by [tex]p_1, p_2,...,p_9[/tex], and all the sweet dishes by [tex]q_1,q_2,...,q_5[/tex].

The possible different mix-and-match plates consisting of two savory dishes are as follows:

There are 9 plates with [tex]q_1[/tex] from sweet plates which are [tex](q_1, p_1), (q_1, p_2), ..., (q_1,p_9).[/tex]

There are 9 plates with [tex]q_2[/tex] from sweet plates which are  [tex](q_2, p_1), (q_2, p_2), ..., (q_2,p_9).[/tex]

Similarly, there are 9 plated for each [tex]q_3, q_4[/tex] and [tex]q_5.[/tex]

Hence, the total number of the different mix-and-match plates consisting of two savory dishes

[tex]= 9+9+9+9+9= 9\times5=45[/tex]

Answer:

45

Step-by-step explanation:

each savory dish gets one sweet dish therefore 9*5=45

Answer:

Well 10 to the 6th power right?

Step-by-step explanation:

well u multiply 10x10x10x10x10x10

1000000

im sorry if this is not correct im sorry if its not 10 to the 6th power ;ccc

this is how

Step-by-step explanation:

gusto ko lang magka points

Answer:

the answer should be 7a^3-4a^2-2a-87

Answer:

2 i think. :D

Step-by-step explanation:

Answer:

M>N

Step-by-step explanation:

I got it right

Answer:

V=48

Step-by-step explanation:

V=whl

V=2*3*8

V=48

Hope this helps! :) Plz mark as brainliest

Answer:

it is A i could be wrong

Step-by-step explanation:

Answer:

$31.90

Step-by-step explanation:

Hope it helps :)

Have a good day/night

Brainliest pls?

Answer:

k4-3+3=10k

Step-by-step explanation:

Answer:

4k-3+3=10k

Step-by-step explanation:

4k-3+3=10k

Answer:

Lil uzi,polo g, drake, future, gunna, cochise,

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

The range of the​ given data would be 5.1  which is determined by the difference between the maximum value and the minimum value of data.

The range of data is defined as a measure of the difference between the maximum value of data and the minimum value of data.

The given results data are as:

{ 2.5, 0.7, -2.2, 2.1, 2.3, -1.6, 1.1, -2.4, 2.7, 1.2 }

To determine the range of the​ data, we have to find the maximum value of the data and the minimum value of the data.

As per the given results,

The maximum value of data = 2.7

The minimum value of data = -2.4

So the range of the​ data would be:

⇒ the maximum value of the data - the minimum value of the data.

⇒ 2.7 - (-2.4)

⇒ 2.7 + 2.4

Apply the addition operation, and we get

⇒ 5.1

Therefore, the range of the​ given data would be 5.1.

Learn more about the range of data here:

brainly.com/question/11647487

#SPJ2

Answer:

B and D are the answer's.

Step-by-step explanation:

Answer: Direct means when x goes up y also goes up, inverse means when x goes up, y goes down and vice versa.

Answer:

Step-by-step explanation:

The answer is that with direct variation, the value and the quantity changes and goes according, either lower or higher, but with inverse variation, the value can go higher, and the quantity can go lower, and the quantity can go higher, but the value can be lower.

Answer:

a. 3x-12= -18 b. x=-2

Step-by-step explanation:

Answer:

The flag pole is 12.8 feet tall.

Step-by-step explanation:

doing the second one hold up

Answer:

A

Step-by-step explanation: