Find the length of line segment UV.

Answer:

[tex]\boxed {x = -1}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]15 + 3x = 3(2 - 2x)[/tex]

-Use Distributive Property:

[tex]15 + 3x = 3(2 - 2x)[/tex]

[tex]15 + 3x = 6 - 6x[/tex]

-Take [tex]6x[/tex] and add it to [tex]3x[/tex]:

[tex]15 + 3x + 6x = 6 + 6x - 6x[/tex]

[tex]15 + 9x = 6[/tex]

-Subtract both sides by [tex]15[/tex]:

[tex]15 - 15 + 9x = 6 - 15[/tex]

[tex]9x = -9[/tex]

-Divide both sides by [tex]9[/tex]:

[tex]\frac{9x}{9} = \frac{-9}{9}[/tex]

[tex]\boxed {x = -1}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]-1[/tex].

Answer:

A is the answer x ≤-4 or x>7

Step-by-step explanation:

Answer:

The answer is A, because they both have answers for each one.

Answer:

117

Step-by-step explanation:

Tn=a+(n-1)d

5(15-1)8

117

Answer:

True

Step-by-step explanation:

Hope this helped :)

Answer:ITS FALSE!!

Step-by-step explanation:

Answer:

0.02

Step-by-step explanation:

Given a normal distribution :

Mean income (m) = 25000

Standard deviation of income (s) = 6000

X ≥ 12000

Using the relation to fund the standardized score :

Zscore =(x - m) / s

Zscore = ( 12000 - 25000) / 6000

Zscore = -13000 / 6000

Zscore = - 2.167

Using a z probability calculator :

P(Z ≤ - 2.167) = 0.015117

= 0.02

Answer:

a. vfsvcsgefceveggevehe

The scale factor will create a similar triangle and thus there will be no change in angles so angles will still be 30° 60° and 90°.

You must specify the extent of the shape's enlargement when describing one.

The scale factor is the ratio of two dimensions such that one figure is large and another is small.

The scale factor is done due to the unpractical measurement of any figure.

Scale factor gives either a small or big similar image of a triangle, for example, if we have a triangle with vertices 2,4,6 and it is scaled by 1/2 then the resultant dimension will 1,2,3 but angles still remain the same.

Hence "The scale factor will create a similar triangle and thus there will be no change in angles so angles will still be 30° 60° and 90°".

To learn more about scale factors,

brainly.com/question/22312172

#SPJ1

Answer:

(a) 2.6 m^2

(b) 3.9 m^3

Step-by-step explanation:

(a)

ABCD is a trapezoid.

A = (B + b)h/2

A = (1.7 m + 2.3 m)(1.3 m)/2 = 2.6 m^2

(b)

The skip is shaped like a prism with trapezoidal bases.

V = area of base * height

V = 2.6 m^2 * 1.5 m = 3.9 m^3

Answer:

4020

Step-by-step explanation:

I'm such a smart man

Answer:

Step-by-step explanation:

I hope this helps!

Answer:

Step-by-step explanation:

c+d=d+c

Associative Property

Answer:

8

Step-by-step explanation:

Explanation: The GCF of 56 and 64 is 8 , as 8 goes into 56 exactly 7 times and into 64 exactly 8 times. 8(8)+7(8)=8(7+8).

Answer:

11 roses and 12 carnations

Step-by-step explanation:

(11*3)+(1.50*3)=195

Answer:

28.26 mm

Step-by-step explanation:

The equation used to solve for the area of a circle is;

A=pi x r^2.

The radius is half the diameter, 6mm/2= 3mm.

A= 3.14 x 3^2

3^2= 9

3.14 x 9 = 28.26 mm

or you could just type 3.14 x (3^2) = 28.26mm

Answer:

I think the answer is 720!

Step-by-step explanation:

Answer:

10/55

6/7

9/12

10/15

Answer:

So glass 2/3 full than full 2/3 glass so full 3 than so

Step-by-step explanation:

SOURCE TRUST ME BRO

Answer:

D. Julie’s assets decreased by more than her liabilities.

Hope it helps❣️

Answer:

[tex]\{x\ E\ Z\ |\ x > 50\}[/tex] ---- Set Builder

(50, ∞)  ---- Interval Notation

Step-by-step explanation:

Given

x > 50

Required

Write as a

- Set builder

- Interval notation

As Set Builder:

x > 50 means that x is an integer and x is greater than 50.

In set builder notation, integers are represented with z.

So, the above can be represented as:

[tex]\{x\ E\ Z\ |\ x > 50\}[/tex]

This translates to:

x is a member of the set of integers such that x is greater than 50

As Interval Notation:

In interval notation, we make use of brackets to represent the intervals.

In this case > is represented by (a,b)

Where a and b are the intervals of the notation

Since x > 50, then a = 50 and b = ∞ because we only know the starting point and not the end point.

Hence: x > 50 in interval notation is (50, ∞)

Answer:

3/5

Step-by-step explanation:

1/2 can be written as 50%

2/3 can be written as 66.66%

3/5 can be written as 60%

Here

Step-by-step explanation:

The example fractions of 1/2, 2/3 and 3/4 with common denominators become 6/12, 8/12 and 9/12. The numerator 8 is between 6 and 9, so the fraction you created – 8/12, or 2/3 when simplified – is between the two fractions you started with.

Answer:

8/5

Step-by-step explanation:

25/10=2.5, 10/4=2.5, 4/2.5=1.6

Answer:

14

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

a) The orchard owner's expected profit from driving the route is $33.

b) The standard deviation of the profit is $27.28

Step-by-step explanation:

a) Data and Calculations:

Apples to sell = 4 half-bushels

Price of each half-bushel sold = $40

Sales revenue = $160 ($40 *4)

Cost of driving the route = $15

Expected values:

Event                          Probability  Revenue       Profit         Expected  Profit

No Sales                        40%            $0         ($15) ($0 - $15)        ($6.00)

Selling 1 half-bushel      30%         $40         $25 ($40 - $15)         $7.50

Selling 2 half-bushels   10%          $80         $65 ($80 - $15)        $6.50

Selling 3 half-bushels   10%         $120       $105 ($120 - $15)     $10.50

Selling 4 half-bushels   10%         $160       $145 ($160 - $15)     $14.50

Total expected profit = $33

Event                          Expected  Profit  Mean        Squared

                                                                       Difference

No Sales                            ($6.00)        -39             1,521

Selling 1 half-bushel           $7.50         -25.5           650.25

Selling 2 half-bushels        $6.50         -26.5           702.25

Selling 3 half-bushels      $10.50         -22.50         506.25

Selling 4 half-bushels      $14.50         -18.50          342.25

Sum of squared differences                                     3,722

Mean of squared differences = 744.4 (3,722/5)

Standard deviation = square root of the mean

= 27.28

= $27.28

Answer:

We have the points:

(-2,4), (-1, 1), (0, 0), (1, 1), (2, 4)

First, we can see a symmetry around the point (0, 0), then this is an even function. Where an even function is a function f(x) such that:

f(x) = f(-x)

And in this case we have:

f(-2) = 4 = f(2)

f(-1) = 1 = f(1)

Now, we can also assume that this is a quadratic function (or it behaves like a quadratic function near the range [-2, 2]).

Such that:

f(x) = a*x^2 + b*x + c

Now let's use the known points to find our equation, we start with (0, 0)

f(0) = 0 = a*0^2 + b*0 + c

then c = 0.

f(x) = a*x^2 + b*x

Now let's use the points (1, 1) and (-1, 1)

f(1) = a*1^2 + b*1 = 1 = a*(-1)^2 + b*-1

       a + b = a - b

           +b = -b

           2*b = 0

Then we must have b = 0

f(x) = a*x^2

And now we can use the point (2, 4)

f(2) = 4 = a*2^2 = a*4

Then  a = 1.

Our function is f(x) = 1*x^2

Answer:

1.25 hours

Step-by-step explanation:

So if you walk at 5 mph without wind, it takes you 1 hour to cover a 5 mile distance since you travel at a speed of 5 every hour. (5 mph). with the wind, your speed is 4 miles per hour because the wind slows you down to 4/5ths of your normal speed. 4/5ths of 5 is 4. It takes 1.25 hours to walk with the wind because 5(miles)/4(mph) is 1.25 hours. Hope this helps bud!

Answer:

8:56

Step-by-step explanation:

3:7

24/3=8

8 times 7=56