I need answers 1 through 5 please

Answer:

When selecting physics students at random, there is a 60% chance to select a student who also studies math.

Step-by-step explanation:

27 students studied math and physics.

27 + 18 = 45 students studied physics.

You can ignore the rest of the numbers because of this:

"given that they study physics".

Physics students are our total population now, and 27 of the 45 physics students study both math and physics.

[tex]\frac{27}{45} =0.6[/tex]

When selecting physics students at random, there is a 60% chance to select a student who also studies math.

a.

The value x = 4/3 is a solution of the equation 3x² + 5x - 12 = 0

Since the equation is 3x² + 5x - 12 = 0, if x = 4/3, is a solution, substituting x = 4/3 into the equation will make the equation will make the left hand side equal zero.

So, 3x² + 5x - 12 = 0

Substituting x = 4/3, we have

3(4/3)² + 5(4/3) - 12

= 3(16/9) + 20/3 - 12

= 16/3 + (20 - 12 × 3)/3

= 16/3 + (20 - 36)/3

= 16/3 - 16/3

= 0

So, x = 4/3 is a solution of the equation 3x² + 5x - 12 = 0

b.

The value x = 1 + √6 is a solution of the equation x² - 2x - 5 = 0

Since the equation is x² - 2x - 5 = 0, if x = 1 + √6, is a solution, substituting x = 1 + √6 into the equation will make the equation will make the left hand side equal zero.

So, x² - 2x - 5 = 0

Substituting x = 4/3, we have

x² - 2x - 5 = (1 + √6)² - 2(1 + √6) - 5

= (1² + 2√6 + (√6)²) - 2 - 2√6) - 5

= 1 + 2√6 + 6 - 2 - 2√6) - 5

= 2√6 + 6 + 1 - 2√6) - 5 - 5

= 2√6 + 7 - 2√6) - 7

=  2√6 - 2√6 + 7 - 7

= 0 + 0

= 0

So, x = 1 + √6 is a solution of the equation x² - 2x - 5 = 0

c.

The value x = 1 + 2i is a solution of the equation x² - 2x + 5 = 0

Since the equation is x² - 2x + 5 = 0, if x = 1 + 2i, is a solution, substituting x = 1 + 2i into the equation will make the equation will make the left hand side equal zero.

So, x² - 2x + 5 = 0

Substituting x = 1 + 2i, we have

x² - 2x + 5 = (1 + 2i)² - 2(1 + 2i) + 5

= (1² + 2(2i) + (2i)²) - 2 - 4i + 5

= 1 + 4i - 4 - 2 - 4i + 5

=  4i + 1 - 4 - 2 - 4i + 5  

= 4i - 5 - 4i + 5  

= 4i - 4i + 5 - 5

= 0 + 0

= 0

So, x = 1 + 2i is a solution of the equation x² - 2x + 5 = 0

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Answer:

B= (-1,0,1)

Step-by-step explanation:

because -1 is not a whole number.

Answer:

B = {-1, 0, 1)

Step-by-step explanation:

The answer is B = {-1, 0, 1) because -1 is not a whole number.

Hope this helps :)

Answer:

15

Step-by-step explanation:

26 = 2x - 4

2x = 26 + 4

2x = 30

x = 30 / 2

x = 15

Answer:

use these formulas to solve

Step-by-step explanation:

Principal( P) = interest / rate x time

Rate (R) = intrest / principal x time

Intrest (I) = PRT

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

Explanation:

A) This is true because there are 4 cups of green and 2 cups of white. Each box represents 1 cup.

B) This is false. The ratio 4:2 reduces to 2:1 when describing the ratio of green to white. We have twice as many green compared to white. Choice B describes the other way around. The order is important.

C) This is true. We have 2 cups of white and 4 cups of green.

D) False. There are 6 cups total, but only 2 white (not 4).

E) True. This is a verbal way of describing the ratio 4:2, of green to white.

F) False. The ratio is the other way around. See choice E.

G) False. There are 4 cups of green, not 6. There are 6 cups total, not 4. The ratio of green to total is 4:6.

H) True. We have 2 cups of white and 2+4 = 6 cups total.

Answer:

-3/25

Step-by-step explanation:

[- 3 / 5 ] / 5

- 3

5

-------

5

1

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

- 3 x 1 = -3

5 x 5 = 25

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

-3 / 25

Answer:

$1720

Step-by-step explanation:

1032 is 3/5 of the cost.

Divide 1032 by 3/5, which is 1720.

Thus, the answer is $1720.

The cost of the present day will be $1,720.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Lisa's father gave her $1032 to buy a present. This covered 3/5 of the cost.

The cost of the present day will be given by the division of the numbers 1032 and 3/5.

⇒ 1032 / (3/5)

⇒ 1032 x 5 / 3

⇒ $1,720

The cost of the present day will be $1,720.

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Answer:

Step-by-step explanation:

-3 (xy+2y)+5y-x

-3xy-6y+5y-x

-3xy-y-x

Answer:

If in you little HMH thing it is 4044.8

The constant of proportionality is usually used in stuff regarding to coordinates. It basically is that values increase or decrease proportionally to another value, such as on a graph, say you have a linear equation that gains 4 units up for every 3 units it moves to the right. Those two values are proportional because they'll continue to move at the same predictable rate. The image below is that line. It doesn't just apply to linear equations though, it can apply to other kinds, like exponential or absolute value equations.

Sorry if this wasn't super concise, as this is a really hard topic to explain just over text. However, if it did help a lot, please give me brainliest as I'm trying to rank up. Thanks!

Constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The  relationship between diameter of circle and radius of circle is d=2r

Relationship between Area of a circle vs. its diameter

Area of circle=π(d/2)²

The constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.

The values increase or decrease proportionally to another value, such as on a graph, say you have a linear equation that gains 4 units up for every 3 units it moves to the right.

The x and y values are proportional because they'll continue to move at the same rate.

Hence constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.

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Answer:

-8.45

Step-by-step explanation:

Look at -10 and 0 on the number line. I used a ruler to help me, and found that A and B were about 1 - 1.3 cm apart. I looked at the options and found that -8.45 was the closest.

However, another way you could of worked this out would be to look at your options and eliminate the ones you know don’t work. Then look at your options available and work it out from there.

Answer:

3.34

Step-by-step explanation:

First step: 3x44=132, 132+15=147. Then use 147 as numerator and 44 as denominator.

Second step: Divide 147/44= 3.3409090909091, round and get 3.34.

Hope this helps.

Answer:6. 42 split 7 ways is 6

Step-by-step explanation:

9514 1404 393

Answer:

  an infinite number

Step-by-step explanation:

Subtract 9x -5 from both sides.

  (9x -5) -(9x -5) = (9x -5) -(9x -5)

  0 = 0

This is true for all values of x. There are an infinite number of solutions.

_____

Additional comment

When you subtract one side of the equation from the other, there are three possible results:

Answer:

13.1

Step-by-step explanation:

Answer:

M/140 = 50/60 or C

Step-by-step explanation:

Since the total is 200 it will be the denominator but we already have 60 gallons so we do 200-60=140

the ratio is 50 per 60

ANSWER :

0 / 15 = 0 + 0/15 = 0

Answer:

Commutative Property of Addition

Step-by-step explanation:

This is because the commutative property of addition and multiplication is

[tex]a+b=b+a\\a*b=b*a[/tex]

and as an example

[tex]5+9=14 \\9+5=14\\10*6=60\\6*10=60[/tex]

Compounded continuously model are evaluated using exponential functions

There are 8.177 bacteria left after 40 days

The given parameters are:

[tex]\mathbf{a = 10}[/tex] --- the initial number of bacteria

[tex]\mathbf{r = 0.502\%}[/tex] --- the decay rate

[tex]\mathbf{n = 40}[/tex] --- the number of days

The amount of bacteria left each day is calculated using:

[tex]\mathbf{T_n = a \times (1 - r)^n}[/tex]

So, we have:

[tex]\mathbf{T_{40} = 10 \times (1 - 0.502\%)^{40}}[/tex]

Express percentage as decimal

[tex]\mathbf{T_{40} = 10 \times (1 - 0.00502)^{40}}[/tex]

Simplify the expression in bracket

[tex]\mathbf{T_{40} = 10 \times 0.99498^{40}}[/tex]

Evaluate

[tex]\mathbf{T_{40} = 8.1766}[/tex]

Approximate

[tex]\mathbf{T_{40} = 8.177}[/tex]

Hence, there are 8.177 bacteria left after 40 days

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Answer:

3/8 is the answer hope you do good

Answer:

the answer is [tex]\frac{3}{32} inch^{3}[/tex]

Step-by-step explanation:

hope this helps sorry if it's wrong have a great rest of your day :)❤

Answer:

Step-by-step explanation:

1 yd(36 in/yd)(2.54 cm/in) / (100cm/m) = 0.9144 m

(4(0.9144)) x (3(0.9144)) = 10.03352832 = 10.03 m²

Answer:

The number of possible juries is C(30,12) = 30! / (30–12)! * 12! = 86,493,225. The number of possible all-female juries is C(16,12) = 16! / (16–12!) * 12! = 1820. So the probability of an all-female jury is 1820 / 86,493,225 = 0.0021%.

Step-by-step explanation:

Answer:

Step-by-step explanation:

(180 - 127) / 2 = 26.5°

Answer:

1. A

2. B

Step-by-step explanation:

It would look like y = -m(x) + b.

For example, m is 1 and b is 0. (You can try any random numbers, but I tried to find the simplest one so it's easy for us to see.) The equation will be y= -x. (you can substitute random numbers in here, too)

If x = 3, y = -3 ; x = 5, y = -5  (x increases, y decreases)

If x = -1, y = 1 ; x = -5, y = 5 (x decreases, y increases)

As you can see from the example,

If the value of x increases, the value of y will decrease and vice versa

For the negative slope equation y = -x as the value of x increases y decreases.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.

Given that the graph of a linear function has a negative slope. Suppose the equation with a negative slope is y = -x.

It would look like y = -m(x) + b.

As an illustration, m is 1 and b is 0. (You can try any random number; however, I looked for the most straightforward one so that we could easily observe it.) It will be written as y=-x. (You can also omit this and use random numbers)

If x = 3, y = -3 ; x = 5, y = -5  (x increases, y decreases)

If x = -1, y = 1 ; x = -5, y = 5 (x decreases, y increases)

Therefore, for the negative slope equation y = -x as the value of x increases y decreases.

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Answer:

30 %

Step-by-step explanation:

Assumption: the increase is to be expressed as a percentage of 10.

We change from 10 to 13 so the increase is 3 We now need to change this into a percentage.

In fraction form we have increase Original value → 3 10 But we need to change this into the form some number 100 Let the unknown value be x giving: 3 10 ≡ some number 100 = x 100 To change the 10 from 3 10 into 100 we multiply by 10 Multiply by 1 and you do not change the value.

However, 1 comes in many forms.

3 10 × 1 = 3 10 × 10 10 = 30 100 This is the same as 30 × 1 100 but 1 100 is the same as %.

So 30 100 → 30 %

Step-by-step explanation:

(Pie)r^2 that is the area of a circle

Answer: 924 / 6 = 154

Step-by-step explanation: Yes, you are correct 924 / 6 =154

Answer:

2a:

[tex]a^6+\frac{64}{125} =(a^2)^3+(\sqrt[3]{\frac{64}{125} })^3[/tex]

Now, we can apply the sum of cubes formula that goes:

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

Therefore,

[tex](a^2)^3+(\sqrt[3]{\frac{64}{125} })^3=(a^2+\frac{4}{5})(a^4-\frac{4a^2}{5}+(\frac{4}{5} )^2)[/tex]

[tex]=(a^2+\frac{4}{5})(a^4-\frac{4a^2}{5}+\frac{16}{25} )[/tex]

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

2b:

[tex]16x^8-y^4=(4x^4)^2-(y^2)^2[/tex]

Now, we can apply the difference of two squares formula that goes:

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

Therefore,

[tex](4x^4)^2-(y^2)^2=(4x^4+y^2)(4x^4-y^2)[/tex]

You can apply the difference of two squares formula again:

[tex](4x^4+y^2)(4x^4-y^2)=(4x^4+y^2)((2x^2)^2-y^2)[/tex]

[tex](4x^4+y^2)(4x^4-y^2)=(4x^4+y^2)(2x^2+y)(2x^2-y)[/tex]

Answer:

ok I will help you please wait for some time

Answer:

23

Step-by-step explanation:

Add the total number of hours in the given situation