What is 1 1/2 + 2 3/5

Answer:

Step-by-step explanation:

In the rectangular complex number -9√3 + 9i, which has a standard form a + bi, the a = -9√3 and the b = 9. We need this in polar form (r, θ) where

[tex]r=\sqrt{a^2+b^2}[/tex] and filling in:

[tex]r=\sqrt{(-9\sqrt{3})^2+(9)^2 }[/tex] (notice we do not put the i in there with the 9).

[tex]r=\sqrt{243+81}[/tex] so

r = 18. Now let's move on to the angle, which is a little more difficult. The angle is found in the inverse tangent ratio:

[tex]tan^{-1}(\frac{b}{a})[/tex] so filling that in, we have:

[tex]tan^{-1}(\frac{9}{-9\sqrt{3} })=\frac{1}{-\sqrt{3} }[/tex] Since tangent is the side opposite over the side adjacent, y is positive and x is negative in the second quadrant. This is a 30 degree angle in QII, which has a reference angle of 150 degrees. This angle in radians is [tex]\frac{5\pi}6}[/tex], so the polar form of that number is (18, [tex]\frac{5\pi}{6}[/tex])

Answer:

its d

Step-by-step explanation:

i guessed lol

Answer:

x = -2    

x=-12

Step-by-step explanation:

5 | x+7| +14 = 39

Subtract 14 from each side

5 | x+7| +14-14 = 39-14

5 | x+7|  = 25

Divide each side by 5

5 | x+7| /5 = 25/5

| x+7|  = 5

Make two equations, one positive and one negative

x+7 =5     x+7 = -5

Subtract 7 from each side

x+7-7 = 5-7    x+7-7 = -5-7

x = -2               x=-12

Answer:

Farah bought 1 sandwich which cost $7 and three snack mix bags which also cost (2 + 2 + 2)$

2+2+2+7=$13

Answer:

I still think you equations are wrong...

4000/4000 not 400/400

Step-by-step explanation:

2000 A+ 6000B=520

4000A+4000B        =480

~~~~~~~~~~~~~~~~~~~~~

2000 A+ 6000B=520

-2000A - 2000B   =-240  

4000B = 280

B=7%

A=5%

Answer:

Answer: The slope of the line is -2

Step-by-step explanation:

We can use the formula [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] to solve to for this

[tex]\frac{-9--1}{-1--5} \\\frac{-8}{4} \\-2[/tex]

Answer:

Exposed group has 2 times the odds of bladder cancer than not exposed group based on our odds ratio.

The disease is bladder cancer.

Explanation:

Calculate odds for exposed group =

1293 with bladder cancer had used artificial sweeteners in the past/

855 without bladder cancer had used sweeteners= 1.51

Calculate odds for not exposed group=

1707 with bladder cancer had never used artificial sweeteners/ 2145 without bladder cancer had never used artificial sweeteners=0.795

Odds ratio=odds for exposed group/odds for not exposed group

= 1.51/0.795

= 1.899

Therefore exposed group has two times the odds of bladder cancer than not exposed group.

Answer:

Step-by-step explanation:

The first one gives us everything we need except the radius, which is easy enough to solve for if you're careful with your algebra. The area of a sector of a circle is given as:

[tex]A_s=\frac{\theta}{360}*\pi r^2[/tex] where θ is the measure of the central angle of the circle. For us, that fills in as follows:

[tex]48\pi=\frac{270}{360}*\pi r^2[/tex] and manipulate it as follows:

[tex]r^2=\frac{(360)(48\pi)}{270\pi}[/tex] the π's cancel out, leaving us with simple multiplication and division to get

r = 8. Now for the next one, which is a bit more involved.

In order to find the area of the shaded part, we need to find the area of the right triangle there and subtract it from the area of the sector of the circle. First the area of the sector, which is given as:

[tex]A_s=\frac{\theta}{360}*\pi r^2[/tex] where θ again is the measure of the central angle of the circle, 90°:

[tex]A_s=\frac{90}{360}(3.1415)(10)^2[/tex] which simplifies a bit to

[tex]A_s=\frac{1}{4}(3.1415)(100)[/tex], giving us an area of

[tex]A_s=78.5375m^2[/tex]. Now onto the area of the triangle.

Since this triangle is inscribed in the circle and the circle's radius is 10, tha also gives us both the height and the base measures of the triangle. The area then is:

[tex]A_t=\frac{1}{2}(10)(10)[/tex] which is

[tex]A_t=50m^2[/tex]

Subtract that from the area of the sector to get that the shaded area is 28.5 square meters, choice A.

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

To find this answer, you apply the given translation rule to the coordinates of point P(-2,6)

[tex](x,y) \to (x-2, y-16)\\\\(-2,6) \to (-2-2, 6-16)\\\\(-2,6) \to (-4, -10)\\\\[/tex]

We see that point P' has a y coordinate of -10

This translation, aka shifting, rule moved point P 2 units to the left and 16 units down.

Answer:last one D ( -10)

Step-by-step explanation:

edg

Answer:

Starting from

2(-x) = 3x - 5

Distribute

-2x = 3x - 5

add 2x to both sides

0 = 5x - 5

Add 5 to both side

5 = 5x

Flip

5x = 5

Answer:

Red can

Step-by-step explanation:

Tonato juice come in different sizes

The red can contains 6 cups

The blue can contains 2 pints

The yellow can contains 32 fluid ounces

Therefore the can that holds the highest juice is the red can with 6 cups if tomato juice

Answer:

(3x + 4)²

Step-by-step explanation:

Let the unknown number be x.

(3x + 4)²

Answer:

option A

Step-by-step explanation:

Let  x = y + y

Now using Pythagoras theorem :

                                    [tex]15^2 = y^2 + 12^2\\225 = y^2 + 144\\225 - 144 = y^2\\81 = y^2\\9 = y[/tex]

Therefore , x = y + y = 18

Answer:

(x/2)²+12² =15²

(x/2)²+144=225

(x/2)²=225-144

x²/4. =81

x² =81×4

x. =√81×4

x. =9×2

x. =18

answer is option A

Answer:

She is an undergraduate because more undergraduates are enrolled

Step-by-step explanation:

From the question, we understand that:

Undergraduate > Graduate

This represents the base rate

So, when taking a guess using the base rate, your guess will be that: the woman is an undergraduate.

The reason for this is that you know that there are more undergraduates than graduates enrolled in the course.

Answer:

f(4) = 9

Step-by-step explanation:

f left parenthesis x right parenthesis equals x squared minus 3 x plus 5

f(x) = x² - 3x + 5

f left parenthesis 4 right parenthesis equals

f(4) =

f(x) = x² - 3x + 5

When x = 4

f(4) = 4² - 3(4) + 5

= 16 - 12 + 5

= 9

f(4) = 9

Answer:

Pretty sure its A

Step-by-step explanation:

Given:

Consider the below figure attached with this question.

To find:

The measure of angle 3.

Solution:

According to intersecting secant theorem, if two secants of a circle intersect each other outside the circle, then the angle on the intersection is half of the difference of the intercepted arc.

[tex]\text{Angle on intersection}=\dfrac{1}{2}(\text{Major arc}-\text{Minor arc})[/tex]

Using the intersecting secant theorem, we get

[tex]m\angle 3=\dfrac{1}{2}(m(arcXY)-m(arcWZ))[/tex]

[tex]m\angle 3=\dfrac{1}{2}(85^\circ-25^\circ)[/tex]

[tex]m\angle 3=\dfrac{1}{2}(60^\circ)[/tex]

[tex]m\angle 3=30^\circ[/tex]

Therefore, the measure of angle 3 is 30 degrees.

Answer: 30 degrees

Step-by-step explanation:

need the points

Answer:

none

Step-by-step explanation:

that's not the correct sign

Answer:

Step-by-step explanation:

Step 1

Find the fraction of the money he gave the charity

Let the total amount he had = 1

Bertie won the lottery! He spends 4/5 of his money on a large house. He spends 3/4 of his REMAINING money on a luxury yacht. He spends 2/3 of his remaning money on a trip to space.

Fraction of money he gave to charity =

1 - (4/5 + 3/4 + 2/3)

He gives the remaning $50,000 to a charity. How much did he win?

Given:

The table of values of a function.

To find:

The domain and range of the given function.

Solution:

Domain: The set of input values of x-values is known as domain.

Range: The set of output values of y-values is known as domain.

From the given table it is clear that x-values are [tex]-5,0,5,10,15[/tex] and the y-values are [tex]-1,0,1,2,3[/tex]. So,

[tex]Domain=\{-5,0,5,10,15\}[/tex]

[tex]Range=\{-1,0,1,2,3\}[/tex]

Therefore, the correct option is D.

The domain and range of the function represented by the table is as follows:

The domain of a function is the set of input values, x, for which a function is defined. The domain is the input of the function. The domain is the sets of all input value that produces the output value.

The domain are likewise called input . The domain are usually the x values

The set of values the function outputs is termed the range of the function. In a simpler term, the range are the output of the function. The range are usually the y values.

Therefore, the domain and range of the function represented by the table is as follows;

learn more on domain and range here; https://brainly.com/question/25173046

Answer:

2 1/2

Step-by-step explanation:

divide in 5 then divide half in 5 also

Answer:

2,5

Step-by-step explanation:

The length of a piece of wood is:

12 ½ : 5 = 5/2 = 2,5

Answer:

x = 1 .  Hopefully im reading this correct

Step-by-step explanation:

8x - 5 = 3

8x = 5 + 3

8x = 8

x = 8/8

x = 1

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

x is 1

Step-by-step explanation:

AC =PR

AB =PQ

8x - 5 =3

8x =3+5

8x =8

x=8/8

x=1

9514 1404 393

Answer:

  A) r = d/t

  B) 221,760 ft/h

  C) 42 mi/h

  D) miles; the number is more comprehensible

Step-by-step explanation:

A) Given d = rt

Divide by the coefficient of r to solve for r.

  r = d/t

__

B) Fill in the given numbers to find the rate in ft/h.

  r = (665,280 ft)/(3 h) = 221.760 ft/h

__

C) Multiply by the conversion factor (1 mi)/(5280 ft) to convert to miles.

  (221,760 ft/h)(1 mi)/(5280 ft) = 42 mi/h

__

D) For this scenario, miles per hour is a better unit for speed. Many people have seen that speed registered on a speedometer, so have some sense of what it means. Often numbers outside the range of 1 to 1000 are beyond ready comprehension.

Given:

Radius of a cylinder = 5 units.

Surface area of the cylinder = [tex]160\pi[/tex]

To find:

The height of the right cylinder.

Solution:

Surface area of a cylinder is:

[tex]A=2\pi rh+2\pi r^2[/tex]

Where, r is radius and h is the height of the cylinder.

Putting [tex]r=5, A=160\pi[/tex] in the above formula, we get

[tex]160\pi =2\pi (5)(h)+2\pi (5)^2[/tex]

[tex]160\pi =10\pi h+2\pi (25)[/tex]

[tex]160\pi =10\pi h+50\pi [/tex]

Subtract [tex]50\pi[/tex] from both sides.

[tex]160\pi -50\pi=10\pi h [/tex]

[tex]110\pi=10\pi h [/tex]

Divide both sides by [tex]10\pi[/tex].

[tex]\dfrac{110\pi}{10\pi}=h[/tex]

[tex]11=h[/tex]

Therefore, the height of the cylinder is 11 units.

Answer:

Step-by-step explanation:

since there is no table included with the question I'm concluding that you need to find values of y using values of x, simply substitute the x values in the equation and you'll get the y value like this

if x = 1 y = 4

Answer:

x - 0 1 2 3 4 5

y - 3 4 5 6 7 8

It is very simple, all you have to do is add three to x every time, for example if x is 153, y will be 156. 3 should be the beginning, the y intercept in graphs, and the beginning means x should be 0.

Answer:

option A

Step-by-step explanation:

[tex]\frac{x^a}{x^b} = x^{a-b}[/tex] , [tex]z^0 = 1[/tex]

So,

[tex]\frac{18x^5 y}{6xy^8z^0} = \frac{18}{6} \times x^{5 -1} \times y^{1-8} = 3 x^4 \times y^{-7} = \frac{3x^4}{y^7}[/tex]

Answer:

B. Parallelogram

Step-by-step explanation:

1. It can't be a square since all 4 sides need to be equal. Squares have 4 equal angles (90 degrees angles)

2. A parallelogram is a four-sided figure with two pairs of parallel sides. This fits exactly with the image that is shown. But let's check the other answers first.

3. While rectangles also have 2 pairs of parallel sides, rectangles have 4 equal angles (90 degrees angles) just like squares do, it can't be a rectangle.

4. A rhombus has four equal sides, meaning this figure can't be a rohmbus.

5. It can't be a trapezoid since trapezoids only have one pair of parallel sides. This figure has 2 pairs of parallel sides.

6. Only B. Parallelogram could possibly be right. Therefore, the answer to this question is that  B. Parallelogram is the type of polygon that this figure is.

Answer:

Total number of mug = 14 mugs

Step-by-step explanation:

Given:

Total amount of Clay Leo bought = 50 lbs

Total amount of Clay left = 27.42 lbs

Total amount of Clay used in sculpture = 12.5 lbs

Amount of clay each muh need = 0.72 lbs

Find;

Total number of mug

Computation:

Assume;

Total number of mug = a

So,

Total amount of Clay Leo bought = Total amount of Clay left + Total amount of Clay used in sculpture + (Amount of clay each muh need)(Amount of clay each muh need)

50 = 27.42 + 12.5 + (0.72)(a)

50 = 39.92 + (0.72)(a)

(0.72)(a) = 10.08

a = 14

Total number of mug = 14 mugs

Answer:

x = 30

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

4x-18  = 2x+6 + 36

Combine like terms

4x-18 = 2x+42

Subtract 2x from each side

4x-18-2x =2x+42-2x

2x-18 =42

Add 18 to each side

2x-18+18 = 42+18

2x= 60

Divide by 2

2x/2 = 60/2

x = 30

Answer:

D.

Step-by-step explanation:

I don't really know how to explain this over a computer, but it is correct.

Hope that this helps!

Answer:

compressibility, particle motion, shape

Step-by-step explanation:

just took it