solve by elimination

(i) Given number = 8.02×10^-5

⇛ 8.02/100000

⇛ (802/100)/100000

⇛ 802/10000000

⇛ 0.0000802

The usual form of 8.02×10^-5 is 0.0000802

(ii) Given number = 4.5×10³

⇛4.5×1000

⇛ (45/10)×1000

⇛ 45×100

⇛ 4500

The usual form of 4.5×10³ is 4500

(iii) Given number = 7×10^-5

⇛ 7/100000

⇛ 0.00007

The usual form of 7×10^-5 is 0.00007

(iv) Given number = 1.0001×10⁸

⇛ 1.0001×100000000

⇛ (10001/10000)×100000000

⇛ 10001×10000

⇛100010000

The usual form of 1.0001×10⁸ is 100010000

(v) Given number = 4.3×10¹²

⇛ 4.3×1000000000000

⇛ (43/10)×1000000000000

⇛ 43×100000000000

⇛ 4300000000000

The usual form of 4.3×10¹² is 4300000000000

(vi) Given number = 3.61492×10⁵

⇛ 3.61492×100000

⇛ (361492/100000)×100000

⇛ 361492

The usual form of 3.61492×10⁵ is 361492

Answer: B

Step-by-step explanation:

Discounts are used to reduce the original price of an item.

David will pay $25 and 92 cents for an item of $32, before tax

The discount (d) is given as:

[tex]d =19\%[/tex]

The price (p) of the item is given as:

[tex]p = \$32[/tex]

So, the amount (A) paid before tax is calculated using:

[tex]A = p \times (1 - d)[/tex]

Substitute known values

[tex]A = \$32 \times (1 - 19\%)[/tex]

Express percentage as decimal

[tex]A = \$32 \times (1 - 0.19)[/tex]

Subtract 0.19 from 1

[tex]A = \$32 \times 0.81[/tex]

Multiply 32 and 0.81

[tex]A = \$25.92[/tex]

Hence, David will pay $25 and 92 cents for an item of $32, before tax

Read more about discounts at:

https://brainly.com/question/11538623

[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]

[tex]:\implies\sf{ \frac{36}{x} = - 9} \\ \\ :\implies\sf{ \frac{36}{ 9} = -x} \\ \\ :\implies\sf{4 = -x} \\ \\ :\implies\sf{x = -4}[/tex]

Answer:

So I figured it would be easier if I sent the pics instead. Hope it helps

The sample is based on the first 25 parents dropping off actors during theater rehearsal hence the sampling method is non random and biased.

A non random sample refers to a sampling method that is not based on chance alone. A biased sampling is one in which some members of the population are more likely to be selected thereby excluding the others.

Since the sample is based on the first 25 parents dropping off actors during theater rehearsal, the sampling method is  non random and biased.

Learn more: https://brainly.com/question/24842573

Answer:

its nonrandom and biased

Step-by-step explanation:

so you don't have to read the other guys answer

Answer:

2/11 is the answer of your question

Step-by-step explanation:

the area of a triangle is baseline × height / 2.

now, we need to count the units : how long is the baseline, he long is the height from the baseline to the top vertex ?

I find the baseline is 14 units long.

the height is 7 units.

so, the area is

14×7/2 = 7×7 = 49 square units.

Answer:

Step-by-step explanation: All we are doing here is inserting 2 in place of all the x variables. So that is written as 12(2)-3(3(2)-5)+24. Next, we follow the order of operations to solve

1) Multiply 3 by 2 and subtract by 5 inside the parenthesis = 12(2)-3-1+24

2) Multiply 12 by = 24-3+1+24

3) subtract 3 from 24 = 21+24

4) Add the final two terms = 45

MARK BRAINLIEST

Answer:

The diagonals are congruent.

Step-by-step explanation:

Answer:

1) The diagonals are congruent.

3) The opposite angles are congruent.

4) The opposite sides are parallel.

Step-by-step explanation:Two pairs of opposite sides are congruent. The diagonals are perpendicular to each other. 4 In parallelogram QRST, diagonal is drawn. Which statement must always be true?

if it does not work sorry

Answer:

561,972 copies

Step-by-step explanation:

MATH-

Answer:

4 boxes left 3 boxes up.

Step-by-step explanation:

Answer:

I can only see =++= so please repost your answer so i can edit my answer as well

Step-by-step explanation:

Answer:

350 millilitres

Step-by-step explanation:

70/100×500=350

Answer 2019 /0.0047   /2014/  0.493

Step-by-step explanation:

The percent change in average full-time worker in the U.S from 2014 to 2019 is 4.93%.

A percentage is a portion of a whole that is stated as a number between 0 and 100 as opposed to being expressed as a fraction.

The percentages of everything are 100%, nothing is 0%, 50% of something is 50%, and nothing is 0%.

Given:

In 2019, the average full-time worker in the U.S. spent `8.5` hours working each workday.

This is an increase on the average of `8.1` hours per workday in 2014.

So, Percent change =  (Final value - initial value) / initial value x 100

Percent change = 8.5 - 8.1 / 8.1 x 100

Percent change = 4.93%

Thus, the percent change in average full-time worker in the U.S from 2014 to 2019 is 4.93%.

Learn more about the percent change here:

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#SPJ2

Answer:

$1.13

Step-by-step explanation:

You multiply 0.15*7.5, and you get 1.125, which you add up to $1.13

Answer:

You need the distance of all four sides so that is:

2 * (5y +1) + 2 * (2y -3) which equals

10y + 2 + 4y -6 and that equals

14y -4

Step-by-step explanation:

Answer:

a. 18

Step-by-step explanation:

a= 2

b= 3

[tex]ab^{2} =(2)(3)^{2} =2(9)=18[/tex]

Hope this helps

a=2

b=3

Now

Answer:

The first chart

Step-by-step explanation:

Answer:

x = 125

Step-by-step explanation:

Given equation:

[tex]\log_224-\log_23=\log_5x[/tex]

[tex]\textsf{Apply the Quotient log law}: \quad \log_ax - \log_ay=\log_a\frac{x}{y}[/tex]

[tex]\implies \log_2\left(\dfrac{24}{3}\right)=\log_5x[/tex]

[tex]\implies \log_28=\log_5x[/tex]

Rewrite 8 as 2³:

[tex]\implies \log_2(2^3)=\log_5x[/tex]

[tex]\textsf{Apply the Power log law}: \quad \log_ax^n=n\log_ax[/tex]

[tex]\implies 3\log_22=\log_5x[/tex]

[tex]\textsf{Apply log law}: \quad \log_aa=1[/tex]

[tex]\implies 3(1)=\log_5x[/tex]

[tex]\implies \log_5x=3[/tex]

[tex]\textsf{Apply log law}: \quad \log_ab=c \iff a^c=b[/tex]

[tex]\implies 5^3=x[/tex]

[tex]\implies x=125[/tex]

[tex]x^2 -18x \\\\=x^2 - 2 \cdot 9x +9^2 -9^2\\\\=(x-9)^2-81[/tex]

Answer:

because AB//DE

so DÊC=BÂC ( 2 straight lines are parallel and have the same internal angle)

because ACD is the outer angle of the triangle ABC so ACD= ABC+BÂC

because DÊC=BÂC

so ACD= ABC+ DÊC

Answer:

Step-by-step explanation:

for 1. The addition property of equality esssentially means that if you were to add/subtract the same value to both sides of the equation, the equation would remain equal. this would be associated with 3. since adding 12 to both sides would give x on one side and 16 on the other which is equal to x=16

for 2. "given" just means the problem, so it is the 1st option. it just means "given the problem..."

for 3. collectiing like terms is the addition of -5x +6x. since they are on the same side eof the equation, and are in the same measurements (of x) they can be combined to eqaul positive x, this is represented by option 2

Work Shown:

y + 6 = -5(x + 3)

y + 6 = -5x - 15

y + 6 + 5x + 15 = 0

5x + y + 21 = 0

The equation is now in the form ax+by+c = 0 where a = 5, b = 1, c = 21.

Answer:

5x + y = -21

Step-by-step explanation:

y + 6 = -5x - 15

5x + y + 6 = -15

5x + y = -21

Y = 18.50

Please tell me if it is right XD <3