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2 years ago

How is (8×10,000)+(4×10)+(5×0.01)+(2×1) in standard form?

Mathematics

2 answers:

torisob [31]2 years ago

7 0

Answer:

80042.05

Step-by-step explanation:

(8×10,000)+(4×10)+(5×0.01)+(2×1)

80000 +40 +.05 +2

Putting the numbers in decreasing place value

80000+40 +2 +.05

80042.05

LUCKY_DIMON [66]2 years ago

6 0

Eight x ten thousand plus four plus ten plus 5 times zero point zero one plus 2 times 1 Lol

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Help me please it is literal equation

riadik2000 [5.3K]

Answer:

Step-by-step explanation:

s = n(a + 1)

n(a + 1) = s

a + 1 = s/n

a = s/n - 1

8 0

3 years ago

if angle 1 and angle 2 form a linear pair. if m<1=5x+9 and m<2=3x+11, find the measure of both angles

Ulleksa [173]

Answer: $m\angle 1=109\°\\m\angle 2=71\°$

Step-by-step explanation:

It is important to remember the definition of "Linear pair angles".

By definitiion "Linear pair angles" are two angles which are adjacents and supplementary.

Based on this, we know that the angles $\angle1$ and $\angle2$ are supplementary, which means that they add up to 180 degrees.

So, knowing that:

$m\angle 1=5x+9\\m\angle 2=3x+11$

We can write the following expression and solve for "x":

$(5x+9)+(3x+11)=180\\\\8x=180-20\\\\x=\frac{160}{8}\\\\x=20$

Therefore, substituting, we get that the measures of the angles $\angle1$ and $\angle2$ are:

$m\angle 1=5(20)+9=109\°\\\\\\m\angle 2=3(20)+11=71\°$

8 0

3 years ago

If you were to open an account that will pay you 3.5% interest with a deposit of $150 so find the following ending amount for ea

aev [14]

Answer:

FV= $160.68

Step-by-step explanation:

Giving the following information:

Initial investment= $150

Interest rate= 3.5% compounded annually

Number of periods= 2

T<u>o calculate the future value, we need to use the following formula:</u>

FV= PV*(1+i)^n

PV= present value

i= interest rate

n= number of periods

FV= 150*(1.035^2)

FV= $160.68

3 0

2 years ago

Hi boys can you help me pls!!!!!!!

goblinko [34]

Answer: OPTION A.

Step-by-step explanation:

Given the following function:

$h(x)=-\frac{1}{4}x^2+\frac{1}{2}x+\frac{1}{2}$

You know that it represents the the height of the ball (in meters) when it is a distance "x" meters away from Rowan.

Since it is a Quadratic function its graph is parabola.

So, the maximum point of the graph modeling the height of the ball is the Vertex of the parabola.

You can find the x-coordinate of the Vertex with this formula:

$x=\frac{-b}{2a}$

In this case:

$a=-\frac{1}{4}\\\\b=\frac{1}{2}$

Then, substituting values, you get:

$x=\frac{-\frac{1}{2}}{(2)(-\frac{1}{4}))}\\\\x=1$

Finally, substitute the value of "x" into the function in order to get the y-coordinate of the Vertex:

$h(1)=y=-\frac{1}{4}(1)^2+\frac{1}{2}(1)+\frac{1}{2}\\\\y=0.75$

Therefore, you can conclude that:

<em> The maximum height of the ball is 0.75 of a meter, which occurs when it is approximately 1 meter away from Rowan.</em>

7 0

3 years ago

assuming that no questions are left unanswered, in how many ways can a six-question quiz with 4-choice multiple choice questions

AfilCa [17]

Given:

Total number of questions = 6

Choice for each question (in MCQ) = 4

Assuming that no questions are left unanswered.

To find:

The total number ways to answer the quiz, assuming that no questions are left unanswered.

Solution:

Here, Number of ways to answer each question = 4

To find the total number ways to answer 6 MCQ, we have to have to multiply number of ways to answer each question 6 times.

Total number of ways to answer six-question quiz with 4-choice multiple choice questions is

$4\times 4\times 4\times 4\times 4\times 4=4096$

Therefore, the required number of ways is 4096.

3 0

2 years ago