what does ( 7.8 x 10 to the 3rd) x (1.0 x 10 to the 4th) equal?

Answers

Answer 1

Answer:

7.8 * 10^7

Step-by-step explanation:

Group coefficients together and exponents together to multiply numbers in scientific notation.

( 7.8  *  1 )  ( 10 ^3  * 10^4)

Multiply  7.8 times 1.

7.8 * (10^3 * 10^4)

Use the power rule  a^m * a^n = a^(m+n) to combine exponents. So, add 3 and 4

7.8 * 10^7


Related Questions

what is 102945766 +1649563419814

Answers

Answer
1.6496664e+12

please help asap !!!!

Answers

Answer:

41.5

Step-by-step explanation

The equation is

X×65/100=27

x=27×100/65

x=27×20/13

x=540/13

x=41.5

Would you multiply M by the third equation (6x^5.....) since it is subtraction

Answers

Answer:

B

Step-by-step explanation:

Here, we want to get the value of m

The value of m can be obtained by multiplying the first factors of the first two polynomial, subtracting the first factor of the third and equating to 18

So what we have will be;

m * 6 - 6 = 18

6m -6 = 18

6m = 18 + 6

6m = 24

m = 24/6

m = 4

Does anyone knows how to solve this?

Answers

Answer:

This is the answer do it fast. Ok

Answer:

see explanation

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = x² - 8x + 13 ← is in standard form

with a = 1 and b = - 8 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{-8}{2}[/tex] = 4

Substitute x = 4 into the equation for corresponding value of y

y = 4² - 8(4) + 13 = 16 - 32 + 13 = - 3

Vertex = (4, - 3 )

The axis of symmetry is a vertical line passing through the vertex with equation

x = 4 ← equation of axis of symmetry

To determine direction of opening

• If a > 0 then graph opens up

• If a < 0 then graph opens down

Here a = 1, thus graph opens up

A certain solution of salt water is 10% salt and weighs 50 pounds., More salt must be added to produce a solution that ls
25% salt.
If x represents the pounds of salt to be added, which of the following expressions represents the number of pounds of
salt in the 25% solution?

Answers

what are do you want from me i don't even know my bad

Verify that f has an inverse. Then use function f and the given real number a to find (f-1)'(a).​

Answers

Answer:

6.

Step-by-step explanation:

f(x) = √(x - 4)      x > 4

y = √((x - 4)

Square both sides

y^2 = x - 4

x = y^2 - 4

So the inverse:

f-1(x) = x^2 + 4

f(-1)'(x) = 2x

When x = 3

f(-1)'(3) = 2(3) = 6.

A shipping box, in the
shape of a cube, has a volume of 2,300
cubic inches. Estimate the length of the side
of the shipping box to the nearest Integer

Answers

Answer:

13 inches

Step-by-step explanation:

length of side of cube: x

volume of cube = x³ = 2300

x = ∛2300 = 13.2

intersecting lines proof easy(15 points ) halfway done

Answers

Answer:

See below

Step-by-step explanation:

Statement                          |   Reason                                                  

1. ∠1 ≅ ∠11                          |   1. Given

2. ∠1 ≅ ∠9                          |  2. Corresponding angles theorem

3. ∠11 ≅ ∠9                         |  3. Transitive property of equality

4. a║b                                 |  4.  Corresponding angles converse

A nation has five types of coins: sinds, dalts, lorgs, harps, and plunks.

1 sind = 4 lorgs
2 plunks = 5 dalts
5 sinds = 2 harps
1 plunk = 3 harps

Which coin is the most valuable?

a) sind
b) dalt
c) harp
d) plunk

Answers

Answer:  d) plunk

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

Work Shown:

When comparing units like inches, feet and yards, we need to get everything in the same unit to make a valid comparison. So we'd need to convert everything to inches for instance. The same idea applies to these five coins. We need to get everything in either lorgs, sinds, plunks, harps or dalts (pick one of those five).

It's effectively the same as trying to convert dollars into cents (eg: $1.37 converts to 137 cents). Or you can think of it as 1 dollar = 100 cents, 1 quarter = 25 cents, 1 dime = 10 cents, and so on.

The steps in the various sections below will aim to get all the coins converted to lorgs as our base unit. I found the lorg coin to be the smallest of value through trial and error, which is why I'm aiming to get everything in terms of lorgs.

The four given equations are

1 sind = 4 lorgs 2 plunks = 5 dalts 5 sinds = 2 harps 1 plunk = 3 harps

I'll refer to them as equation (1) through equation (4) in that order above.

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

1 sind = 4 logs .... equation (1)

5 sinds = 20 lorgs .... multiply both sides by 5

2 harps = 20 lorgs .... replace "5 sinds" with "2 harps" from equation (3)

1 harp = 10 lorgs .... divide both sides by 2; call this equation (5)

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

1 plunk = 3 harps .... equation (4)

1 plunk = 3*(1 harp)

1 plunk = 3*(10 lorgs) .... plug in equation (5)

1 plunk = 30 lorgs .... call this equation (6)

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

2 plunks = 5 dalts ..... equation (2)

5 dalts = 2 plunks

5 dalts = 2*(1 plunk)

5 dalts = 2*(30 lorgs) .... replace 1 plunk with 30 lorgs; see equation (6)

5 dalts = 60 lorgs

1 dalt = 12 lorgs ..... divide both sides by 5; call this equation (7)

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

We found the following conversions:

1 sind = 4 lorgs .... given as equation (1)1 dalt = 12 lorgs .... found earlier as equation (7)1 harp = 10 lorgs .... equation (5)1 plunk = 30 lorgs  .... equation (6)

Each of those equations helps us see how much the value of the coins sind, dalt, harp, plunk are in terms of lorgs.

We can see that 1 plunk yields the most lorgs at 30. So the plunk coin is the most valuable. The lorg coin is least value since you need 4 of those coins to make the second lowest coin of 1 sind.

The order of the coins value from least to greatest is: lorg, sind, harp, dalt, plunk.

Convert 1.0395 to scientific notation

Answers

Answer:

i forgot how to do this

Step-by-step explanation:

The difference between Cassandra's age and Borg's age is 3 years. The sum of 8 times Cassandra's age and twice Borg's age is 94 years. How old is each

Answers

Answer:

Cassandra 10, Borg 7

Step-by-step explanation:

Let c be Casandra's age and b be Borg's age. We can set the equation c-b=3. We can also set the equation 8c+2b=94. From the first equation we get c=b+3. Substitute this for c to get 8(b+3)+2b=94. Simplify to get 10b+24=94. Subtract then divide to get Borg's age is 7. Then since Cassandra is 3 yrs older than Borg, Cassandra's age is 10

Which of the following inequalities is equivalent to -6 > x?
A. x -6
D. x ≤ -6

Answers

Answer:

I think d

Step-by-step explanation:

Answer:

- At least <turn the other way. I think it should be d

Divide. Give the quotient and remainder.
4391/53

Answers

Answer:

82 R?

Step-by-step explanation:

How do I solve 1.5 to the -2 power or 1.5^-2

Answers

Answer: -3

Step-by-step explanation: hope this help

What is the solution set of -11 > 1 + a ?

a > -10
a -12

Answers

Answer:

a < -12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

-11 > 1 + a

Step 2: Solve for a

Subtract 1 on both sides:                    -12 > aRewrite:                                               a < -12

Here we see that any value a smaller than -12 would work as a solution to the inequality.

Answer:

a < -12

Step-by-step explanation:

A ramp has a height of 5.8 feet and an angle of 80°.


What is the length of the ramp, y to the nearest tenth of a foot?

Answers

Answer:

y ≈ 33.4 ft

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Trigonometry

[Right Triangles Only] cos∅ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to find the missing length.

Step 2: Identify Variables

POV from angle measure

Angle = 80°

Adjacent = 5.8

Hypotenuse = y

Step 3: Solve for y

Substitute [cosine]:                   cos80° = 5.8/yMultiply y on both sides:          ycos80° = 5.8Isolate y:                                    y = 5.8/cos80°Evaluate:                                    y = 33.4009Round:                                       y ≈ 33.4 ft

Does this represent a function? Yes or no and explain why. (Please fast! im being timed(

Answers

Answer:

Hello

No function.There are two 7's on the x-axis. There can be 2 or more same numbers on the y-axis.

Step-by-step explanation:

Answer is No.

find the value of x, pls show work so i know how to solve it :)))

Answers

Answer:

x=71

Step-by-step explanation:

(Base angle of an isosceles triangle)

Answer:

x = 71°

Step-by-step explanation:

Since the 2 legs are congruent then the triangle is isosceles and the 2 base angles are congruent, that is

x = 71°

Find the value of x that solves the system shown below.
y = 5x
2x - y = 18

Answers

The solution to the system is x = -6, y = -30.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

We can start by substituting the first equation into the second equation, to eliminate y:

2x - y = 18

2x - 5x = 18 (substituting y = 5x)

-3x = 18

x = -6

Now that we know x = -6, we can use the first equation to find y:

y = 5x

y = 5(-6)

y = -30

Therefore,

The solution to the system is x = -6, y = -30.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

There are 150 children at summer camp. Using the table below, what is the percentage, to the nearest whole percent, of children that did not sign up for canoeing?

Answers

Answer:

I would say around 41.3% I'm sorry if I am wrong :/

Step-by-step explanation:

62/150 around 0.413

The temperature on the moon can vary from -172°C to -126°C. Find the difference between the maximum and minimum temperature.


I really need step by step explaining please!! :D

Answers

Answer:

The range is 46

Step-by-step explanation:

-172 is the minimum

-126 is the maximum

subtract -126 by -172 and you get 46

A tile factory earns money by charging a flat fee for delivery and a sales price of $0.25 per tile. One customer paid a total of $3,000 for 10,000 tiles. The equation y – 3,000 = 0.25(x – 10,000) models the revenue of the tile factory, where x is the number of tiles and y is the total cost to the customer.

Which function describes the revenue of the tile factory in terms of tiles sold?



What is the flat fee for delivery?

$

Answers

Answer
y = 0.25x + 500

Answer:

1. f(x)=0.25x+500

2.500

Step-by-step explanation:

well, it was right, and to be honest I don't know how I got it right cause I guessed

Simplify the following expression by combining like terms. Select the most simplified expression
4(5m + 3) + 2m

A: 20m + 6 + 2m
B: 22m +6
C: 20m + 12 + 2m
D: the 22m + 12

Answers

Answer:

It is D

Step-by-step explanation:

Distribute:

=(4)(5m)+(4)(3)+2m

=20m+12+2m

Combine Like Terms:

=20m+12+2m

=(20m+2m)+(12)

=22m+12

Which table represents a nonlinear function?

Answers

Answer:

Choice C

Step-by-step explanation:

The only one that isn't a linear function is table C. If we take a look at table D (because it's easier and without any negatives) the x values decreases by two every time and the y values increase by 4 every time. Then when we look at table C, the x value increase by 5 which is good. But the y value increases by 2 then 4 then 8, which is why this table isn't a linear function.

The only one that is a nonlinear function is table Choice C.

What is linear function?

In mathematics, linear refer to a proportional behaviour that can be modelled with a line, the functions that model this behaviour are called linear functions, and their graphs are lines.

Now, linear expression refers to an expression which has variables with an exponent equal to one.

But Nonlinear functions have a slope that varies between points.

If we take a look at table D because it's easier and without any negatives then we can see that the x values decreases by two every time and the y values increase by 4 every time.

Thus when we look at table C, the x value increase by 5 which is good. But the y value increases by 2 then 4 then 8, which is not a linear function.

Learn more about the function:

brainly.com/question/2264373

#SPJ2

The length of 1 side of a square is the 16 cm What Is the area of the square?​

Answers

Answer:

256 cm^2

Step-by-step explanation:

All of the sides of the square are equal so to calculate the area we do side times side.

16*16 = 256

cm^2 is the unit for this question

4) Write the quadratic equation of the following in vertex form: vertex (-1,3) and passes through (1,-5)
I
ULTS
Factor completely
5) 15m2 - 6
6) 2x2 + 5x - 10% - 25

Answers

You will have to set up a system of equations

Answer:

Please check the explanation.

Step-by-step explanation:

4)

If an equation representing a parabola is in vertex form such as

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

then its vertex will be at (k, h).

Therefore the equation for a parabola with a vertex at (-1, 3), will have the general form

[tex]y\:=a\left(x+1\right)^2+3[/tex]

If this parabola also passes through the point (1, -5) then we can determine the  'a ' parameter.

[tex]-5\:=a\left(1+1\right)^2+3[/tex]

simplifying the equation

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

[tex]4a+3=-5[/tex]

subtract 3 from both sides

[tex]4a+3-3=-5-3[/tex]

[tex]4a=-8[/tex]

Divide both sides by 4

[tex]\frac{4a}{4}=\frac{-8}{4}[/tex]

[tex]a=-2[/tex]

So our equation in vertex form is:

[tex]y\:=-2\left(x+1\right)^2+3[/tex]

5)

Given the expression

[tex]15n^2-6n[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c[/tex]

[tex]=15nn-6n[/tex]

[tex]\mathrm{Rewrite\:}6\mathrm{\:as\:}3\cdot \:2[/tex]

[tex]\mathrm{Rewrite\:}15\mathrm{\:as\:}3\cdot \:5[/tex]

[tex]=3\cdot \:5nn-3\cdot \:2n[/tex]

Factor out the common term 3n

[tex]=3n\left(5n-2\right)[/tex]

6)

Given the expression

[tex]2x^2+5x-10x-25[/tex]

Factor 2x²+5x: x(2x+5)

Factor -10x-25: -5(2x+5)

so the expression becomes

[tex]=x\left(2x+5\right)-5\left(2x+5\right)[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}\left(5+2x\right)[/tex]

5x+2y=10 2x+y=2
To whoever answers this you're a genius :)

Answers

Step-by-step explanation:

5x + 2y = 10

2x + y = 2, 4x + 2y = 4.

Therefore (5x + 2y) - (4x + 2y) = 10 - 4, x = 6.

=> 2(6) + y = 2, y = -10.

The solutions are x = 6 and y = -10.

plzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

4x⁵ z⁸

Step-by-step explanation:

hope it helps!

.......

Answer:

4 x^5 z^8

Step-by-step explanation:

To make it easy I am categorizing this in two groups. One is (xz^3), late us name it A and the other is after the multiplication sign that is (4x^4z^5) which we are naming B. Now 4 from b multiplies 1 from a(as there is no number which means there must be 1). In multiplication of power of bases we have to add the powers which means x from a × x^4 from b= x from a's power 1 + x from b's power 4=x^5 and repeating same process in case of z resulting in z^5.

Hence the above mentioned ans comes...

Hope this helps you

find the l.c.m of x²+x, x²-1, x²-x​

Answers

Answer:

X³-x

Step-by-step explanation:

Lcm

x(x-1)(x+1)

x(x²-1)

x³-x

please someone help i can’t do math it runs in the family math is HARD!!!!!

Answers

Answer:

the 6 x 5squared(with the little two on the top)

:)

Answer:

6 * 5^2  .....  6 * 5* 5 ........ 150

Step-by-step explanation:

going left to right the top row its the 2 and 4 and the bottom row is the middle one

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