Simplify <img src="https://tex.z-dn.net/?f=%283x%20%5E%7B2%7D%20%29%20%5E%7B3%7D%20" id="TexFormula1" title="(3x ^{2} ) ^{3}

What is the probability a customer ordered a small, given that he or she ordered a hot drink?

disa [49]

Answer:

i don no

Step-by-step explanation:

7 0

3 years ago

Given in the figure below, find the values of X and Z.

sweet-ann [11.9K]

Answer:

$\boxed{x=9}\\\boxed{z=76}$

Step-by-step explanation:

Hello There!

Geometry

The angles shown represented by the expressions (11x + 5) and (5x+59) are vertical angles

Vertical angles are congruent so we can use this equation to solve for x

Basic Algebra

11x + 5 = 5x + 59

step 1 subtract 5x from each side

5x - 5x cancels out

11x - 5x = 6x

now we have 6x + 5 = 59

step 2 subtract each side by 5

5 - 5 cancels out

59 - 5 = 54

now we have 54 = 6x

step 3 divide each side by 6

6x/6=x

54/6=9

we're left with x = 9

now we want to plug in 9 into x for one of the expression

11(9) + 5

11 * 9 = 99

99 + 5 = 104

so we can conclude that the measure of the angle labeled ( 11x + 5 ) is 104 degrees

Now we need to find z

Geometry

The angle with a measure of 104 and angle Z are supplementary angles meaning that the sum of the two is 180

So to find z we subtract the known angle (104) from 180

180 - 104 = 76

so we can conclude that z = 76

5 0

2 years ago

The coordinates of AB are A(-5, -1) and B(-2, -6). If AC : CB = 3 : 7, what are the coordinates of point C?

navik [9.2K]

$\text{Let the coordinates of AB are }A(-5,-1), \text{ and }B(-2, -6)\\
\\
\text{let the coordinate of th point C be (x, y), such that}\\
\\
AC:CB=3:7\\
\\
\text{By the section formula, we know that if P(x,y) lies on a line segment AB}\\
\text{where, }A(x_1,y_1), \ B(x_2,y_2)\text{ and satisfy the ratio, }AP:PB=m:n, \text{ then}$

$P=\left ( \frac{mx_2+nx_1}{m+n}, \ \frac{my_2+ny_1}{m+n} \right ).\\
\\
\text{So using this formula, we get for the given problem}\\
\\
C=\left ( \frac{3(-2)+7(-5)}{3+7}, \ \frac{3(-6)+7(-1)}{3+7} \right )\\
\\
\Rightarrow C=\left ( \frac{-6-35}{10}, \ \frac{-18-7}{10} \right )\\
\\
\Rightarrow C=\left ( \frac{-41}{10}, \ \frac{-25}{10} \right )\\
\\
\Rightarrow C=\left ( -4.1, \ -2.5 \right )$

Coordinates of the point C is: (-4.1, -2.5)

5 0

3 years ago

Ariane borrows $300 on a 3−year loan. She is charged 5% simple interest per year. How much interest is she charged for 3 years?

ICE Princess25 [194]

300x1.05^3

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4 0

3 years ago

there are two food trucks for sale that would be perfect for your business. the blue food truck is in perfect condition, but 8,0

Olegator [25]

82,000 dollars per food truck

5 0

3 years ago