Scientists say we should sleep 3/8 of a day.How about many hours is this

Using scientific notation, it is found that the measure of one astronomical unit in kilometers is [tex]1.5 \times 10^8[/tex]

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

In this problem, 1 AU = 150,000,000 km.

Then, the measure is: [tex]1.5 \times 10^8[/tex]

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Answer:

a solution set trinomial has only one element in the solution set

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

Use elimination method.

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

3x + 5y = 10

-(1x + 5y) = -1(2)

-1x -5y = -2

------Simiplify------

2x = 8

x = 4

This is going to take a while: get ready...

I like two-columns, so...

Statements_______________|_____Reasons___

l||m                                                        Given

angle 1 congruent angle 7                   Given

angle 3 congruent angle 5                 corresponding                                                                            alternate angles

a||b                                                       CPCTC

I usually do proofs for triangles, not parallel lines, but I hope this helped!

Answer:

=2112cm²

Step-by-step explanation:

radius=14cm

height=10cm,

Curved surface area of cylinder=2πrh

=2×22÷7×14×10

=880cm²

Base area of cylinder=πr²

=22÷7×14×14

=616cm

Whole surface area of cylinder=2πr(r+h)

=2×22÷7×14(14+10)

=2×22÷7×14(24)

The down payment will be $218.25, the total amount of the monthly payments is $1454.04.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

Shania bought a $1,455 drum set on an installment plan.

The installment agreement included a 15% down payment and 18 monthly payments of $80.78 each

Down Payment = (15/100)x1444

= $218.25

The total amount of the monthly payment = $80.78x18

= $1454.04

Total cost of the plan = $1454.04 + $218.25

= $1672.29

Finance charge = $1672.29 - $1455

= $217.29

Thus, the down payment will be $218.25, the total amount of the monthly payments is $1454.04.

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Answer:

Nick spent $30.00.

Step-by-step explanation:

60% of $50.00

60% ÷ 100 = 0.6

0.6 x 50 = 30

Answer:

Step-by-step explanation:

last month nick spent $50 this month he spent 60% of last month how much did nick spend?

50 : 100 * 60 =

0.5 * 60 = 30$

Answer:

a

Step-by-step explanation:

Answer: [tex]y = \frac{4}{5}x + 4[/tex], if this helped you please give Brainliest

Step-by-step explanation:

Answer:

dsde

Step-by-step explanation:

Answer: x = 22.7

Step-by-step explanation:Based on the given conditions, formulate: 5300x2(x divided by 23) = 10500

Divide both sides of the equation by the coefficient of variable: 2 x/23 = 10500/5300

Reduce the fraction:2 x/23 = 105/53

Convert exponential to logarithm form: x/23 = long^2 105/53

Divide both sides of the equation by the coefficient of variable:x = log^2 105/53 x 23

Rewrite the expression: x = 23 long^2 105/53

Round the number: x = 22.7

Answer: x = 22.7

The height of the skyscraper for the considered case is evaluated being of 358 meters approx.

You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal to the point where you stopped your head is called angle of elevation.

Remember that we assume that building is vertical to the ground. This means, there is 90° formation.

For this case, referring to the figure attached below, we get:

The height of the skyscraper = h = length of ED (which is h - 1.74 meters) + 1.74 meters

Using the tangent ratio for triangle CDE, from the perspective of angle of elevation, we get:

[tex]\tan(44^\circ) = \dfrac{|ED|}{|CD|} = \dfrac{h-1.74}{|AB|} \\0.9656 \approx \dfrac{h-1.74}{369}\\\\h \approx 0.9656 \times 369 + 1.74 \approx 358 \: \rm m[/tex]

(from calculator, we obtained [tex]tan(44^\circ) \approx 0.9656[/tex] )

Thus, the height of the skyscraper for the considered case is evaluated being of 358 meters approx.

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Answer:

Step-by-step explanation:

Y -.-

Answer:

Point Y is the answer to this

Answer:

i think you add them not sure...

Step-by-step explanation:

40+44+44+??

ok?

Answer:

x=88°

x-44°=88°-44°=44°

Step-by-step explanation:

angle A+ angle B+angle C=180°

48°+x-44°+x°=180°

=48°-44°+x°+x°=180°

=4°+2x°=180°

=4°-4°+2x°=180°-4°

=2x°=176°

=2x°/2=176°/2

=x°=88°

x°-44°=88°-44°

=x°-44°=44°

9

Step-by-step explanation:

woody is 5

buzz is 3

mr potato head is 3

rex is 7

alien is 1

11000 litre of water is needed to fill the tank.

Answer:

solution given:

radius [r]=1.05m

Total height[H]=3.5m

height of cylinder[h]=2.45m

Now

The volume of the cylindrical part of tank=[tex]\pi r^2h=3.14*1.05^2 *2.45=8.4815m^3[/tex]

again

the volume of semi-spherical part of tank=[tex]\frac{2}{3} \pi r^{3} =\frac{2}{3}*3.14*1.05^3=2.4233m^3[/tex]

now

total volume=volume of the cylindrical part of tank + volume of semi-spherical part of tank

=8.4815+2.4233=10.9048 [tex]m^{3}[/tex]

we have

[tex]1m^3=1000litre[/tex]

[tex]10.9048m^3=1000*10.9048=10904.8\:litre[/tex]

Step-by-step explanation:

Answer: 1/4

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

h(x) = g(f(x))

Take f(x) and plug it into g(x).

g(f(x)) = sqrt{4x}

g(f(x)) = sqrt{4(3x^3 + 8x^2)}

g(f(x)) = sqrt{12x^3 + 32x^2}

We are done.

Answer:

h(x) = sqrt{12x^3 + 32x^2}

The composite function as shown is [tex]g(f(x)) =\sqrt{12x^3+32x^2}[/tex]

Given the following fnctions

[tex]f(x) = 3x^3 + 8x^2\\g(x) = \sqrt{4x}[/tex]

The composite function g(f(x)) is expressed as:

[tex]g(f(x)) =g(3x^3 + 8x^2)\\g(f(x) )=\sqrt{4(3x^3 + 8x^2)} \\g(f(x)) =\sqrt{12x^3+32x^2}[/tex]

Hence the composite function as shown is [tex]g(f(x)) =\sqrt{12x^3+32x^2}[/tex]

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Answer:

28%

Step-by-step explanation:

(3red+4red)/25candy = 7/25 = 28/100 = 28%

The horizontal asymptote of the function [tex]g(x) = \frac{4x}{7}[/tex] is 4

Given the function, [tex]g(x) = \frac{4x}{7}[/tex], the horizontal asymptote is the coefficient of the variable of the function at the numerator.

From the given function, the expression at the numerator is 4x.

Similarly for the expression h(x) = 4x, the coefficient of the expression is 4

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Answer: C

Step-by-step explanation: because if you use substutuion you get it from proccess of elimaniation

Answer:

only the v-shaped graph is a function

Step-by-step explanation:

the circle, the vertical line, and the sideways parabola would not pass the 'vertical line test' which is where, if a vertical line is drawn through the graph then the line would not intersect the graph in more than one point

Based on the cost of each bottle, the better deal is the 16 ounce size and the amount saved per ounce is $0.03

The first step is to find the cost per ounce of each bottle.

For the 16 ounce bottle:

= 2.10 / 16

= $0.13 per ounce

For the 20 ounce bottle:

= 3.15 / 20

= $0.16

The 16 ounce size is therefore better and the amount saved per ounce is:

= 0.16 - 0.13

= $0.03

In conclusion, the 16 ounce is better as it saves $0.03 per ounce.

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Answer:

I really :3? i’m up for a challenge

Step-by-step explanation:

21 - 3 = 18

18 + 18= 36

36/6= 6

hope this helped!

Answer:

9x-5y=2======>9x-5y=2===>(+)7y=-28=>y=-4=>(1)3x-4(-4)=10=>x+16=20=>x=4

3x-4y=10(1)=>(×-3)-9x+12y=-30=>(+)

Answer:

x=2

Step-by-step explanation:

6x+3+2x+1+4x=12x+4

5x+5x+3x+2=13x+2

12x+4=13x+2

4-2=13x-12x

2=x

Answer:

Step-by-step explanation:

There are 2 similar triangles.

EDA and CBA

From that we can get the following proportion.

ED / CB = AD / AB

Filling in the letters we get

6/x = (4 + 3)/3            Combine

6/x = 7/3                    Cross Multiply

7x =6*3

7x = 18                        Divide by 7

x = 2.57

Answer:

if it is an a or  b  B is the best answer but if it a true of false. the answer is true

Step-by-step explanation:

There are 6.45 or 6.5 square cm in one square in.

If 2 inches are equivalent to 5 centimeters, using unitary method, 6.25 square centimeters are in one square inch.

Unitary method is the method of solving the problem, where you first calculate the value of one item, then to find the value of say, k items, you multiply the value of one item by k.

Here, in this question we have used unitary method to find the relation between square inch and square centimeter given the relation between an inch and a centimeter.

Given in the question,

2 inches  = 5 centimeter

By unitary method,

[tex]1 \ inch = \frac{5}{2} \ centimeter = 2.5 \ centimeter[/tex]

Squaring on both sides,

[tex]1 \ inch * 1 \ inch = 2.5 \ cm * 2.5 \ cm \\\\1 \ inch^2 = 6.25 \ cm ^2[/tex]

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