Work out (3.42 x 10-7) = (7.5 x 10-6)
Give your answer in standard form.​

Answer:

Step-by-step explanation:

first step, multiply 4 and 3

4x3=12  ,  we write is 1.2x10

10^5 x10^3=10^8

4 x10^5 x 3 x 10^3= 1.2x10^9

The required answer is 1.20 x 10⁹ in scientific notation.

Scientific notation is a method of writing extremely large or extremely small numbers. When a number between 1 and 10 is multiplied by a power of 10, it is written in scientific notation.

Here,
To multiply two numbers in scientific notation, we multiply their coefficients and add their exponents. Applying this rule, we get:

= (4.0 x 10⁵) x (3.0 x 10³)
= (4.0 x 3.0) x (10³ x 10⁵)

= 12.0 x 10⁵⁺³
= 12.0 x 10⁸

However, the answer is not yet in proper scientific notation form because the coefficient 12.0 is not between 1 and 10. To express the answer in scientific notation, we need to adjust the coefficient and exponent so that the coefficient is between 1 and 10. We can do this by dividing the coefficient by 10 and increasing the exponent by 1. Doing this, we get:

12.0 x 10⁸ = 1.20 x 10⁹

Therefore, the answer is 1.20 x 10⁹ in scientific notation.

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Answer:

(16) 0    (17) 36

Step-by-step explanation:

8-3 = 5

5x5 = 25

25 / 25 = 1

1 - 1 = 0

and 81 / 9 x 4 = 9 x 4 = 36

Answer:

0 and 36

Step-by-step explanation:

16

25 ÷ (8 - 3)² - 1 ← evaluate parenthesis

= 25 ÷ 5² - 1 ← evaluate exponent

= 25 ÷ 25 - 1 ← evaluate division

= 1 - 1

= 0

17

[tex]\frac{4}{9}[/tex] × 81 = 4 × 9 = 36

Answer:

D. He distributed -5 incorrectly.

Step-by-step explanation:

Last option is the correct answer.

Answer:

Parker: D. He distributed -5 incorrectly.

Step-by-step explanation:

Answer:

$[tex]$2.25[/tex]

Step-by-step explanation:

Let [tex]b =[/tex] the cost of one brownie, [tex]c =[/tex] cost of one cookie

[tex]3b + 5c = 11[/tex]

[tex]b+2c = 3.95[/tex]

Times [tex]3[/tex] on both sides on the second equation above to get the following:

[tex]3b + 6c = 11.85[/tex]

[tex]3b+6c - (3b+5c) = 11.85-11[/tex]

[tex]3b+6c-3b-5c = 0.85[/tex]

[tex]c = 0.85[/tex]

To find the value of [tex]b[/tex], use substitution:

[tex]b+2c = 3.95[/tex]

[tex]b = 3.95-2c[/tex]

[tex]= 3.95 - 2\times0.85[/tex]

[tex]= 2.25[/tex]

[tex]\therefore[/tex] the cost of a brownie is $[tex]$2.25[/tex]

Hope this helps :)

Answer: 13% or  0.1314

Step-by-step explanation: Binomial PDF on the calculator or by hand its

22 nCr 15 (0.60)^15(1-0.6)^7 = 0.131378

The probability in a survey of 22 Americans where exactly 15 of them will respond that they love beets given that 60% of American love beets is 0.131.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The binomial probability distribution:

[tex]^nC_r p^r (1 - p)^{n - r}[/tex]

Now,

p = 60% = 60/100 = 0.6

1 - p = 1 - 0.6 = 0.4

n = 22

r = 15

Now,

[tex]^nC_r p^r (1 - p)^{n - r}[/tex]

= [tex]^{22}C_{15}(0.6)^{15} (0.4)^{22 - 15}[/tex]

= [tex]^{22}C_{15}(0.6)^{15} (0.4)^7[/tex]

= 0.1313

Thus,

The probability is 0.131.

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Answer:

Below.

Step-by-step explanation:

10 rectangles, 2 are shaded in.

Fraction: 1/5

Decimal: 0.2

Percent: 20%

Answer:

triangle 2.854e55

Step-by-step explanation:

y=kx

Step-by-step explanation:

That's the formula for direct variation relationships!

The other two answers are nonsense and don't mean anything.

Answer:

He loves you too!!

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Answer:

s = - 60

Step-by-step explanation:

-45 + s = -105

s = -105 + 45

s = - 60

Answer:

The answer is D.

Step-by-step explanation:

I hope this helps :D

Answer:

s

Step-by-step explanation:

Answer:

17/70

Step-by-step explanation:

First use PEMDAS which is the order to solve questions like these.

Parenthesis

Exponents

Multiplication

Division

Addition

and Subtraction

There is one parenthesis which has a (-1/4) so let's start with that, we know that when there is a negative and a positive sign the negative out rules the positive

3/5-1/4 divided by 7/10      (Sorry I don't have the division sign on my device)

There are no exponents or multiplication but there is division

-1/4 divided by 7/10 is -5/14

3/5-5/14 is 17/70

Thus, our answer is 17/70

Answer:

the top one and bottom one

Step-by-step explanation:

Answer:

first and sixth

Step-by-step explanation:

they match

Answer:

31.42 m

Step-by-step explanation:

circumference = (pi)d

circumference = 3.14159 * 10 m

circumference = 31.4159 m

Answer: 31.42 m

Answer: circumference =31.42m

Step-by-step explanation:

Answer:

0.25

12/5+(7x5)

Step-by-step explanation:

12/5+(7x5)

12/5+35

12/40

Answer:

x=−4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4(x−1)+5x=6x−16

(4)(x)+(4)(−1)+5x=6x+−16(Distribute)

4x+−4+5x=6x+−16

(4x+5x)+(−4)=6x−16(Combine Like Terms)

9x+−4=6x−16

9x−4=6x−16

Step 2: Subtract 6x from both sides.

9x−4−6x=6x−16−6x

3x−4=−16

Step 3: Add 4 to both sides.

3x−4+4=−16+4

3x=−12

Step 4: Divide both sides by 3.

3x/3=-12/3

x=-4

Answer:

4x-4+5x=6x-16, 9x-4=6x-16, 3x=-12, x=-4

Step-by-step explanation:

Answer:

Step-by-step explanation:

w(0) = 0-1

w(0) = 0-1

w(0) = -1

Since w(0), this basically means that a = 0.

So, plug 0 into anywhere a is.

The value of the function w(a) = a - 1 at a = 0 will be negative 1.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function is given below.

w(a) = a - 1

The value of the function at a = 0 will be

w(0) = 0 - 1

w(0) = - 1

The value of the function w(a) = a - 1 at a = 0 will be negative 1.

More about the value of expression link is given below.

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Answer:

h squared (h^2)

Step-by-step explanation:

h to the power of its self is just h squared

Answer:

-5

Step-by-step explanation:

Substitute every part of the equation where x appears with the value of x, which is -2

f(-2)=-2-3

f(-2)=-5

So, f(x)=-5

Answer:

W=−5

r=3

hope this helps!!

Answer:

19

Step-by-step explanation:

9+10 is not 21 it is 19.

If 2 tens make a 20 and 1 number is gone, 20-1=19

Answer:

6/7 > 0.85

hope this help

6/7 （） 0.85

=6/7 () 85/100

=6/7 （） 17/20

=120/140 () 119/140

∵120/140>119/140

∴6/7>0.85

Answer:

you need to explain

Step-by-step explanation:

Answer:

ok.

Step-by-step explanation:

y=-1/1x+4. hope this helped :))

Answer: y= -8/8x + 4

or y=-x+4

Step-by-step explanation: