9j/5-6j simplify your answer. Type a interger or a fraction. Type your answer in the form a+bj

Answer:

[tex]\implies \dfrac{80}{90}-\sqrt{50} \times 19^2 \div 23^2[/tex]

Order of operations (PEDMAS)

Following the order of operations,
Carry out the exponents (and radicals) first:

[tex]\implies \dfrac{80}{90}-\sqrt{25 \cdot 2} \times 361 \div 529[/tex]

[tex]\implies \dfrac{80}{90}-5\sqrt{2} \times 361 \div 529[/tex]

Now the multiplication and division (from left to right):

[tex]\implies \dfrac{8}{9}-1805\sqrt{2} \div 529[/tex]

[tex]\implies \dfrac{8}{9}-\dfrac{1805\sqrt{2}}{529}[/tex]

Convert the fractions so that their denominators are the same:

[tex]\implies \dfrac{8 \times 529}{9 \times 529}-\dfrac{1805\sqrt{2} \times 9}{529 \times9}[/tex]

[tex]\implies \dfrac{4232}{4761}-\dfrac{16245\sqrt{2}}{4761}[/tex]

Answer as a fraction:

[tex]\implies \dfrac{4232-16245\sqrt{2}}{4761}[/tex]

Answer as a number:

[tex]\implies -3.936546801... = -3.9\: \textsf{(nearest tenth)}[/tex]

Answer:

0.1

Step-by-step explanation:

1 is in the tenths place and 2 is in the hundredths place

Since the digit in the hundredths place (2) is less than 5, the digit in the tenths place (1) does not change

The digit in the hundredths place is dropped

0.12 rounded to the nearest tenth (one decimal place) = 0.1

Answer:

13

Step-by-step explanation:

Answer:

what's the question? we need to know in order to help

Answer:

20

Step-by-step explanation:

To find the area, separate the unique shape into 3 rectangles. Then, solve for the area of those three rectangles:

2 x 4 = 8
2 x 3 = 6
6 x 1 = 6

Then, add up all of those areas to find the total area of the unique shape:

8 + 6 + 6 = 20

The area of the unique shape is 20.

Answer:

121/16

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

Past the point of 12 there are a total of 9 plants represented.

Answer:

355 full boxes. 356 if you don't count the not full one that she would need.

Step-by-step explanation:

3908/11 = 35.272727

Answer:

The length for the edge should be 6.

Step-by-step explanation:

Hope this helps

Answer:

A(t) = amount remaining in t years

      = A0ekt, where A0 is the initial amount and k is a constant to                     be determined.  

Since A(1690) = (1/2)A0 and A0 = 80,

                we have 40 = 80e1690k

                1/2 = e1690k

                ln(1/2) = 1690k

                k = -0.0004

So, A(t) = 80e-0.0004t

Therefore, A(430) = 80e-0.0004(430)

                           = 80e-0.172

                           ≈ 67.4 g

Step-by-step explanation:

To find the density:

 ⇒ must find the relationship between the density, mass, and volume

    ⇒ [tex]Density = \frac{mass}{volume}[/tex]

Let's examine the information given:

Let's first find the volume:

   ⇒ the volume is the dimensions multiplied together

      [tex]Volume = 8cm * 5cm * 5cm = 200cm^3[/tex]

LEt's calculate the density now:

  [tex]Density = \frac{1890g}{200cm^3} =9.45g/cm^3[/tex]

Answer: The density of the copper is 9.45g/cm^3 or Choice (A)

Hope that helps!

Answer:

perimeter=4×length

so 72= 4l

divide through by 4

length=18

Answer:

Step-by-step explanation:

Perimeter

Area

From the perimeter

Substituting in the area formula

The greater value of the two will be the length, and lesser value will be the width.

Dimensions are : 24 inches x 12 inches

Answer:

7/5 = 1  2/5

Step-by-step explanation:

You need to multiply the number of bowls filled, by the amount of candy that goes into each bowl.

There are 7 bowls to fill and 1/5 of a bag of candy goes in each bowl.

7 * 1/5 = 7/5

This works out to 7/5 or 1 and 2/5.

Answer:

84x

Step-by-step explanation:

Answer:

a , c and d

Step-by-step explanation:

a , c and d are correct

Answer:

Elon Musk 269.7 B
Jeff Bezos: 170.15 B
Bill Gates: 130.23 B

Step-by-step explanation:

If you had a trail of 1 billion 1 dollar bills, it would stretch out to 96,900 miles.

If you did that with 100 billion 1 dollar bills, that would be 9,690,000 miles.

That is more than 300 times the circumference of the Earth.

Answer:

Step-by-step explanation:

The interquartile range is the difference between Q3 and Q1.

Since Q3 = 75% mark and Q1 = 25% mark, this range is representing the data between those 2 marks:

The blank is 50%

Answer:

what???

Step-by-step explanation:

im not sure what you are talking about

Here given that

So

Every person has one and only mouth

Means

So

Answer:

y=2x+9

Step-by-step explanation:

point slope form

y-y1=m(x-x1)

y-3=2(x+7)

m=2

y intercept: b=9

y=mx+b where m=2 b=9

y=2x+9

Answer:

5 : 6

Step-by-step explanation:

the ratio of

blue : red

= 10 : 12 ( divide both parts by 2 )

= 5 : 6 ← in simplest form

Answer: hii :)

Step-by-step explanation:

The probability of a red marble being drawn in both turns = 9/16, and the probability of a white marble being drawn in both turns = 1/16. So, the total probability = (9/16) + (1/16) = 10/16 = 5/8.

Hopefully this helps you

- Matthew

Answer:

[tex]\sf \dfrac58[/tex]

Step-by-step explanation:

Given:

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\implies \sf \textsf{P(red marble)}=\dfrac{3}{4}[/tex]

[tex]\implies \sf \textsf{P(blue marble)}=\dfrac{1}{4}[/tex]

As the marbles are replaced:

[tex]\implies \sf \textsf{P(red marble) and P(red marble)}=\dfrac{3}{4} \times \dfrac{3}{4}=\dfrac{9}{16}[/tex]

[tex]\implies \sf \textsf{P(blue marble) and P(blue marble)}=\dfrac{1}{4} \times \dfrac{1}{4}=\dfrac{1}{16}[/tex]

Therefore:

[tex]\implies \sf \textsf{P(red and red) or P(blue and blue)}=\dfrac{9}{16}+\dfrac{1}{16}=\dfrac{10}{16}=\dfrac58[/tex]

Answer:

0.75.

Step-by-step explanation:

1) the required vertical distance is the distance between two vertexes.

2) according to the item 1, the coordinates of the vertexes are:

(y=x²+1): x₀=0; y₀=1;

(y=x-x²): x₀=0.5; y₀=0.25;

3) according to the item 2, the distance between 1 and 0.25 is 0.75.

Answer:

An airline claims that the no-show rate for passengers is less than 5%. In a sample of 420 randomly selected reservations, 19 were no-shows. At α=0.01, test the airline's claim. State the sample percentage and round it to three decimal places.

State the hypotheses.

State the critical value(s).

State the test statistics.

State the decision

State the conclusion.

Step-by-step explanation:

Vertex form is: [tex]a(x-h)^2+k[/tex]

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

To find a, plug (-4,1) in for x and y.

[tex]a(-4+2)^2+3=1[/tex]

[tex]4a=-2[/tex]

[tex]a=-1/2[/tex]

so a) is [tex]\frac{-1}{2} (x+2)^2+3[/tex]

b) .... I'm not sure what the second coordinate is.

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

Plug in (-5,6) for x and y.

[tex]6=a(-5+2)^2-3[/tex]

[tex]9=9a[/tex]

[tex]a=1[/tex]

so c) is [tex](x+2)^2-3[/tex]

d) [tex]a(x+2)^2+5[/tex]

Plug (1,-4) in for x and y.

[tex]-4=a(1+2)^2+5[/tex]

[tex]-9=9a[/tex]

[tex]a=-1[/tex]

so d) is [tex]-(x+2)^2+5[/tex]

Answer:

[tex]\textsf{(a)}\quad y=-\dfrac{1}{2}(x+2)^2+3[/tex]

[tex]\textsf{(b)}\quad y=a(x+1)^2-1[/tex]

[tex]\textsf{(c)}\quad y=(x+2)^2-3[/tex]

[tex]\textsf{(d)}\quad y=-(x+2)^2+5[/tex]

Step-by-step explanation:

Vertex form

[tex]y=a(x-h)^2+k[/tex]

where (h, k) is the vertex

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

Part (a)

Given:  vertex at (-2, 3) passes through (-4 ,1)

Substituting the given vertex into the equation:

[tex]\implies y=a(x-(-2))^2+3[/tex]

[tex]\implies y=a(x+2)^2+3[/tex]

Substitute the given point into the equation to find a:

[tex]\implies 1=a(-4+2)^2+3[/tex]

[tex]\implies 1=4a+3[/tex]

[tex]\implies a=-\dfrac{1}{2}[/tex]

Substitute the found value of a to form the final equation:

[tex]y=-\dfrac{1}{2}(x+2)^2+3[/tex]

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

Part (b)

Given:  vertex at (-1, -1) passes through ?)

Substituting the given vertex into the equation:

[tex]\implies y=a(x-(-1))^2+(-1)[/tex]

[tex]\implies y=a(x+1)^2-1[/tex]

Substitute the given point into the equation to find a:

**no point given**

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

Part (c)

Given:  vertex at (-2, -3) passes through (-5, 6)

Substituting the given vertex into the equation:

[tex]\implies y=a(x-(-2))^2+(-3)[/tex]

[tex]\implies y=a(x+2)^2-3[/tex]

Substitute the given point into the equation to find a:

[tex]\implies 6=a(-5+2)^2-3[/tex]

[tex]\implies 6=9a-3[/tex]

[tex]\implies a=1[/tex]

Substitute the given point into the equation to find a:

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

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

Part (d)

Given:  vertex at (-2, 5) passes through (1, -4)

Substituting the given vertex into the equation:

[tex]\implies y=a(x-(-2))^2+5[/tex]

[tex]\implies y=a(x+2)^2+5[/tex]

Substitute the given point into the equation to find a:

[tex]\implies -4=a(1+2)^2+5[/tex]

[tex]\implies -4=9a+5[/tex]

[tex]\implies a=-1[/tex]

Substitute the given point into the equation to find a:

[tex]y=-(x+2)^2+5[/tex]

Answer: what I understood from the question that you want this side and the other side so the fust side equals 33 and the second side after the equal side equals -20 so 33 = -20

Step-by-step explanation: I hope it is correct .

Because the sum of the internal angles must be equal to 180°, we will see that x =  43.75

Here we need to remember that the sum of the internal angles of a triangle always gives 180°, so we can write:

(x + 10)° + (3x - 5°) + x°  = 180°

Now we need to solve this linear equation for x.

4x + 5= 180

4x = 180 - 5 = 175

x = 175/4 = 43.75

The value of x is 43.75

If you want to learn more about triangles, you can read:

https://brainly.com/question/2217700