Simplify the equation √-42×√-30

Answer:

d.  (4w2 + 180w) m2

Step-by-step explanation:

Area of tiled floor = (area of tiled floor+ pool ) - area of pool

area of pool =l x b = 30 x 60 =1800  ...............a

length of pool + tiled floor = 30+2w

breadth of pool + tiled floor = 60+2w

Hence, (area of tiled floor+ pool ) =

(30+2w) x(60+2w) = 1800+60w+120w+4w2 = 1800 + 180w+4w2.....b

b-a =(1800+ 180w+4w2)- 1800 = 4w2 + 180w

If both towns, Appletown and Callwood, continue to grow at their current rates, Callwood will have the larger population at year 10 because it is increasing exponentially.

Exponential growth occurs when the pattern of increase is higher with the passage of time.

The formula for the exponential increase is as follows:

f(x)=a(1+r)^{x}

Where:

f(x) = exponential growth function

a = initial number or amount

r = growth rate

{x} = number of time intervals

Thus, if both towns, Appletown and Callwood, continue to grow at their current rates, Callwood will have the larger population at year 10 because it is increasing exponentially.

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Answer:

20 mile

Step-by-step explanation:

One inch is equivalent to 10 miles. Given this comparison in regards to scale, 2 inches would simply be 2 times that. In basic terms, 2 times or inches multiplied by each 10 mile increment would be stated as 2 inches x 10 miles, resulting in a 20 mile distance between the two cities.

The equations which can be used to find the measurement of each angle will be 6x-30=180.

The supplementary angles are defined as the angles whose sum is equal to 180°.

It is given that:-

One angle in a pair of supplementary angles has a value of 2x

The other angle is 30 degrees less than two times the first angle.

Now from the first condition, One angle in a pair of supplementary angles has a value of 2x we can write that:-

2x   +    A   =     180 .........................1

Now from the second condition,The other angle is 30 degrees less than two times the first angle

A     =    4x  -   30 ..............................2

Hence from the above two equations put the value of A in equation 1

the equation will be:-

2x    +   4x    -   30    =    180

6x      -      30        =   180

Hence the equations which can be used to find the measurement of each angle will be 6x-30=180.

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Answer:

720 m²

Step-by-step explanation:

Area = base × height

= 12 × 6

= 72 mm²

≈ 720 m² (1 mm = 10 m)

The discriminant of the quadratic equation 2x + 5x2 = 1 is 24.

--

Use this formula

Plug in

You get 24

Answer:

24

Step-by-step explanation:

Discriminant

b² - 4ac   (when ax² + bx + c = 0)

Assuming the given equation is:   2x + 5x² = 1

Rewrite the equation so that it equals zero:

⇒ 5x² + 2x - 1 = 0

Therefore,  a = 5    b = 2    c = -1

Input these into the discriminant formula and solve:

⇒ 2² - 4(5)(-1) = 4 + 20

                      = 24

Therefore, the discriminant of the quadratice equation is 24.

[tex]b \geqslant x \leqslant a[/tex]

Answer:

38

Step-by-step explanation:

4(2)+5(6)

=8+30

The answer=38

Answer:

3/6

I say that the probability is 3/6 because there are 3 spaces, and we are counting one spin. There are 6 spots total.

Answer:

maybe the answer is 3/5.

Do message me if the answer is wrong

The  unit rate can be interpreted as the slope will give  [tex]\dfrac{1}{8}[/tex] of a delivery per hour

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

Given: The total time for which Noel drives = 152 hours

The total number of successful deliveries = 19

Now, Noel's unit rate for successful delivery is given by:-

[tex]\rm =\dfrac{Total\ succesful\ deliveries}{Total\ hours}=\dfrac{19}{152}=\dfrac{1}{8}[/tex]

Hence, Noel's unit rate for the successful delivery 1/8  of a delivery per hour

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Answer:

4.5 mph or 9/2 mph

Step-by-step explanation:

Let x be the rate of the current

Formula: Distance = rate x time

where rate upstream =(12-x) and time =2 hours

15=(12-x)(2)

15=24–2x

2x=24–15

2x= 9

x=9/2=4.5 miles per hour (rate of current)

Answer:

y2 + 2y + 80

Step-by-step explanation:

Hope this helpd :) Mark brainliest?

Answer:-21

Step-by-step explanation:

-21 i think but im pretty sure

The measure of each angle in the diagram are 4y° = -82°, (6y - 41)° = 164°, (3x + 2)° = 98°, 2(x + 17)°= 98

Each of the pairs of opposite angles made by two intersecting lines is called a vertical angle.

Two lines are intersecting each other at a point making two pairs of vertical angles.

The pair of vertical angles are equal in measure.

4y° = (6y + 41)° [Vertical angles]

4y - 6y = 41

2y = -41-----(1)

(3x + 2)° = 2(x + 17)° [Vertical angles]

(3x + 2)° = 2x + 34°

x = 32 ------(2)

Therefore, 4y° = -82°

(6y - 41)° = 164°

(3x + 2)° = 98°

2(x + 17)°= 98

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Answer:

2985 yes votes.

Explanation:

Yes : No

5x : 8x

Total Ratio: 5x + 8x = 13x

Solve for x

13(x) = 7761

divide both sides by 13

x = 597

Yes-Votes: 5(x) = 5(597) = 2985

No-Votes: 8(x) = 8(597) = 4776

Answer:

-16

Step-by-step explanation:

        [tex](a*b)^m=a^m * b^m\\[/tex]

        i² = -1

(4i)² = 4² * i²  

        = 16 * (-1)

       = -16

Let's examine what we know:

 [tex](ab)^x=a^x * b^x[/tex]

So, In the equation: [tex](4i)^2[/tex]

  ⇒ is equivalent to ⇒ [tex]4^2*i^2= 16 * (-1) = -16[/tex]

Answer: - 16

Hope that helps!

Step-by-step explanation:

well, it changed by 560 miles overall. in a matter of 3 months.

but for the rate of change I have to ask what is the unit of time for that consideration ?

the rate of change is the change of the functional value over an interval divided by the length of the interval.

if 3 months is the unit of time, then the change rate is 560/1 = 560 miles per quarter.

if the unit of time is 1 month, then the change rate is 560/3 miles per month.

if the unit of time is days, then we have 30+31+31 = 92 days in that interval, and the change rate is 560/92 = 140/23 miles per day.

and so on.

Answer:

Step-by-step explanation:

f(x) = 3x² - 3x

g(x) = -5x + 4

Find the value of the function when x = -3:

f(x) = 3x² - 3x

f(-3) = 3(-3)² - 3(-3)

f(-3) = 3(9) + 9

f(-3) = 27 + 9

f(-3) = 36

Find the value of the function when x = 5:

g(x) = -5x + 4

g(5) = -5(5) + 4

g(5) = -25 + 4

g(5) = -21

Hope this helps!

Answer:

A. F(x) = |x|

Step-by-step explanation:

Any number that substitutes for x inside of the absolute value parent function will be converted to a positive. Example: |-43| = 43

Answer:

C. $12.60

Step-by-step explanation:

he has $25.00 for the whole week

monday through thursday, or four days, he buys school lunch for $1.50

1.5 x 4 = 6

on friday, he buys 4 slices of pizza for $1.60 per slice

4 x 1.6 = 6.4

Expenses together:

6.4 + 6 = 12.4

Find what he has left:

25-12.4 = 12.6

C. $12.60

Answer:

6

Step-by-step explanation:

The number of students in the next 12 to enroll should you expect to be undergraduate students is 6.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

From the table,

Total number of students = 7 + 2 + 9 = 18

Number of undergraduates = 9

Probability of having a undergraduate student to enroll = 9/18 = 1/2

When the next 12 students are enrolled,

Number of undergraduates = 1/2 × 12 = 6

Hence 6 students are expected to be undergraduates in the next 12 students.

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Each person caught 5 fish.

Multiply 5 fish by total people.

5 x 9 = 45

Answer: 45 fish

Answer:

45 fish

Step-by-step explanation:

Given :

Solving :

Step-by-step explanation:

Rectangle: A quadrilateral with four right angles; a rectangle is a type of parallelogram. Square: A quadrilateral with four congruent sides and four right angles; a square is both a rhombus and a rectangle. Trapezoid: A quadrilateral with exactly one pair of parallel sides (the parallel sides are called bases)

Answer:

B=25

Step-by-step explanation:

Simply plug in 10 where x is

2(10)2(10-5)/10(10) = 25

The volume of the water that was displaced will be equal to 0.06 cubic feet.

Suppose that a finite amount of substance is there having its properties as:

mass of substance = m kg

density of substance = d kg/m³

volume of that substance = v m³

Then, they are related as:

[tex]d = \dfrac{m}{v}[/tex]

If a prism is placed into a basin of water (density: 32.5 lb/ft3) and displaces 3.7 pounds of water, then the volume of the water that was displaced will be

We know that the density of the water is 62.4 pounds per cubic foot.

Then we get

3.7 = 62.4 × volume

Volume = 0.059

Volume ≅ 0.06 cubic-foot

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Step-by-step explanation:

' MLB

ML Ĺ

bryon yuuù 6553w2 wasmay what is this portion insulator used for

Answer: A

Step-by-step explanation:

x^2 - 3x + 5 = 0 - quadratic equation

Standard quadratic equation form: a^2 + bx + c = 0

D = (-3)^2 - 4*1*5 = 9 - 20 = -11 (-11 < 0 => no real roots)

x1 = (3 - sqrt(-11)) / 2

x2 = (3 + sqrt(-11)) / 2

Answer:

d. [tex]a^2 =b(b+c)[/tex]

Step-by-step explanation:

Option d is the correct answer.