15 points for this need help badly

The scientific notation of the product of the given numbers is [tex]5.291 \times 10^{12}[/tex].

Given, [tex](4.81 \times 10^{16} ) (1.1 \times 10^{-4} )[/tex].

We need to write the scientific notation of the product.

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

Now, [tex](4.81 \times 10^{16} ) (1.1 \times 10^{-4} )=4.81 \times 1.1 \times 10^{16} \times10^{-4}[/tex]

[tex]=5.291 \times 10^{16-4} =5.291 \times 10^{12}[/tex]

Hence, the scientific notation of the product of the given numbers is [tex]5.291 \times 10^{12}[/tex].

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Answer:C

Step-by-step explanation:

5.291 times 10 Superscript 12

Answer:

12 and 18

Step-by-step explanation:

Lets say the two numbers are A and B, with A the smaller.

We are told that A/B = 2/3     [in the ratio of 2 to 3]

We also find that A + B = 30  [Their sum is 30]

Rearrange the first equation to isolate A:

A/B = 2/3

A = 2B/3        [multiply both sides by B]

Now use this value of A in the second equation:

A + B = 30

2B/3 + B = 30

(2/3)B + (3/3)B = 30

(5/3)B = 30

B = (30)(3/5)

B = 6*3

B = 18

Since A + B = 30:

A + B = 30

A + 18 = 30

A = 12

A is 12 and B is 18

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

Check:

Does A/B = 2/3??

(12/18) = (6/9)

(6/9) = (2/3)   YES

Does A + B = 30  ???

12 + 18 = 30   YES

The midpoint of the class interval 80-89 is 84.5.

The mid point of a class interval is also called the class mark of the class interval.

The midpoint is defined as the average of the upper and lower class limits.

Therefore, the midpoint of the class interval 80-89 can be calculated as follows:

mid point = 80 + 89 / 2

mid point = 169 / 2

mid point = 84.5

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Answer:

see explanation

Step-by-step explanation:

angles E and G are congruent to each other because they are vertical angles.

The amount of money earned by Kiki earned $614 in three days.

The amount paid by any company or industry to the employees after deductions of the several taxes is the salary.

Given that:

Per day salary of Kiki = $150

Commission = 8% of sales

Worth of sold items = $350+$500+$1200 = $2050

Amount of commission = 0.08 x 2050 = $164

Total amount earned in three days = Base salary per day * Number of days + Commission

Total amount earned = 150*3 + 164

Total amount earned = 450 + 164 = $614

Hence, Kiki earned $614 in three days.

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(i) The simultaneous equations in a, b and c are a+b+c = 7 , 4a+2b+c = 9 & 9a+3b+c = 13  

(ii) Expression for nth term = n²-n+7

The first three terms of the sequence are 7, 9, 13

nth term = an²+bn+c

If we put n = 1 then,

1st term = a(1)²+b+c

⇒ a+b+c = 7   ......(1)

If we put n = 2 then,

2nd term = a(2)²+b×2+c

⇒ 4a+2b+c = 9    ........(2)

3rd term = a(3)²+b×3+c

⇒ 9a+3b+c = 13   .......(3)

Multiplying 4 with (1) and subtract (2) from (1) we get,

(4a+4b+4c)-(4a+2b+c)=28-9

⇒ 4a+4b+4c-4a-2b-c=19

⇒ 2b+3c=19 .....(4)

Multiplying 9 with (1) and subtract (3) from (1) we get,

(9a+9b+9c)-(9a+3b+c)=63-13

⇒ 9a+9b+9c-9a-3b-c=50

⇒ 6b+8c=50

⇒ 3b+4c=25 .....(5)

Multiplying 3 with (4) and multiplying 2 with (5), then subtract (5) from (4),

3(2b+3c)-2(3b+4c)=57-50

⇒ 6b+9c-6b-8c=7

⇒ c = 7

From (5),

3b+28 = 25

⇒ 3b = -3

⇒ b = -1

From (1),

a+(-1)+7 = 7

⇒ a-1=0

⇒ a=1

So, nth term = n²-n+7

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Answer:

Correct expression:

[tex]2x + 3y + 25[/tex]

Hi!

I am not completely sure what you mean but if you are looking for the slope of a line here is the best way to find it.

Y=Mx+b

it look difficult but really it's quite easy and once you get it it's super memorable. Y will always be Y that doesn't change. The M is the slope of the line (don't let equations confuse you with different letters! the M might be different but it is always the letter next to x) and b is the y intercept (where the line crosses y). All you need to find the slope of a line is 3 points. I see here you have a graph. So what you do is count how much it's moving up each block on the graph. I would say your slope is about 1/3. Y is really easy! just find the point it crosses the y axis(horizontal axis or the one going up and down) for yours it's 0. So your answer is y=1/3x+0

Answer:

1

Step-by-step explanation:

since there is no other opponent he is sure to get the position hence the probability is maximum

Answer:

C

Step-by-step explanation:

The contrapositive is always logically equivalent to the original statement.

Answer:

C

Step-by-step explanation:

Answer:

A, the answer is A

The answer is a because the question say what is I if I = 0. The question basically gave you the answer. In other words the question said, I = 0 what is I? Sorry if this is a bit confusing, I’m not that good at explaining.

Hope this helps!

Answer:

[tex]\mathrm{Slope=== > 0}[/tex]

Step-by-step explanation:

Hi student, let me help you out!

.............................................................................................................

First, let's recall the slope formula: [tex]\boxed{\mathrm{\cfrac{y2-y1}{x2-x1}}}}[/tex], where y2 and y1 are y-coordinates; x2 and x1 are x-coordinates.

Plugin the values: [tex]\mathrm{\cfrac{0-0}{-17-(-9)}}[/tex].

Upon simplifying, we obtain [tex]\mathrm{\cfrac{0}{-17+9}}[/tex].

Upon simplifying this further, we obtain [tex]\mathrm{\cfrac{0}{-9}}[/tex].

0 divided by anything results in 0.

✨ ∴, the slope of this particular line is 0, and this line looks something like this: [tex]\rule{200}{1}[/tex].

See, it's a horizontal line, with a rise of 0, meaning that it goes up 0 units.

Hope this helped you out! Ask in comments if even the slightest queries arise.

Best Wishes!

[tex]\star\bigstar\underline{\underline{\overline{\overline{\textsf{Reach far. Aim high. Dream big.}}}}}\bigstar\star[/tex]

[tex]\underline{\rule{300}{5}}[/tex]

Answer:

$ 7360.00

Step-by-step explanation:

100 shares   *   $ 73/share   + $60  = $ 7360

Based on the calculation below,  the total purchase price for this transaction is $7,360.

The total purchase price for this transaction can be calculated using the following formula:

Total purchase price = (Price per share * Units of shares purchased) + Commission ...................................... (1)

Substituting all the values into equation (1), we have:

Total purchase price = ($73 * 100) + $60 = $7,360

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Answer:

y^3

Step-by-step explanation:

x^3 y^3     and    y^4  

y^3 * x^3     and y^3  * y

Answer: D. 66°

Step-by-step explanation:

A triangle has 180° and we already have the numbers for two sides. We must find the answer that adds up to 180°.

A. 43° + 71° + 19°= 133°

B. 43° + 71° + 77°= 191°

C. 43° + 71°+ 114= 228°

D. 43° + 71° + 66°= 180°

With this information, we know that the answer is D. 66°.

I hope this helps! Pls give brainliest :)

From the given diagram <msr is a right angle (equal to 90 degrees) and <mrh is acute since it is less than 90degrees.

The given diagram is a rhombus that has the following properties

From the figure shown, we can see that;

<msr is a right angle (equal to 90 degrees)

<mrh is acute since it is less than 90degrees.

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Answer:

A (it must be acute)

Step-by-step explanation:

The property of each given rational number operation are respectively; Commutative Property; Closure Property; Associative Property; Closure Property; Distributive Property

The main properties of rational numbers are:

a) The property used here is commutative property which says that;

a + b = b + a.

This tallies with the operation used on the rational numbers.

b) The property used here is called Closure Property. This is because for two rational numbers say a and b, the results of addition, subtraction and multiplication operations gives a rational number.

c) The property used here is called associative property because it states that; a * (b * c) = (a * b) * c.

d) The property used here is called Closure Property. This is because for two rational numbers say a and b, the results of addition, subtraction and multiplication operations gives a rational number.

e)  The property used here is called distributive property because it states that; a * (b * c) = (ab * ac)

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The given statement is An integer is divisible by 100 if and only if its last two digits are zeros.

The two conditional statements that can be made are:

1) If an integer is divisible by 100 its last two digits are zeros.

This is a true statement. If a number is divisible by 100, it means 100 must be a factor of that number. When 100 will be multiplied by the remaining factors, the number will have the last two digits zeros.

2) If the last two digits of an integer are zeros, it is divisible by 100.

This is also true. If the last two digits are zeros, this means 100 is a factor of the integer. So the number will be divisible by 100.

Therefore, the two conditional statements that are formed are both true.

So, option A is the correct answer.

Yes, it is. When the definition is separated into two conditional statements, both of the statements are true.

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The given statement is An integer is divisible by 100 if and only if its last two digits are zeros.

An integer is a number with no decimal or fractional part, from the set of negative and positive numbers, including zero.

The two conditional statements that can be made are:

1) If an integer is divisible by 100 its last two digits are zeros.

This is a true statement. If a number is divisible by 100, it means 100 must be a factor of that number. When 100 will be multiplied by the remaining factors, the number will have the last two digits zeros.

2) If the last two digits of an integer are zeros, it is divisible by 100.

This is also true. If the last two digits are zeros, this means 100 is a factor of the integer. So the number will be divisible by 100.

Therefore, the two conditional statements that are formed are both true.

So, option A is the correct answer.

Yes, it is. When the definition is separated into two conditional statements, both of the statements are true.

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The value of CD is 10.7 cm , Option C is the right answer.

A line segment is a line of fixed measure.

From the figure , as Triangle ABC is a right angled triangle

sin 30 degree = (Perpendicular / Hypotenuse)

∠ B = 30° , AB= 10 cm

sin 30 = AC/10

AC = 5 cm.

To determine CD ,

In Triangle ADC ,

tan 25 = Perpendicular / Base

tan 25 = AC / CD

tan 25 = 5 / CD

CD = 5 / 0.4663

CD = 10.7 cm

Therefore the value of CD is 10.7 cm , Option C is the right answer.

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Answer: C

Step-by-step explanation: 10.7 cm

Answer:

with a line accross the points

Answer: C

Step-by-step explanation: Substitute the x’s into C’s equation.

2(0) is 0, 0+1 is 1 so the first row is correct. 2(2) is 4, 4+1 is 5, so the second row is correct. 2(4) is 8, 8+1 is 9, so the third row is correct. And lastly, 2(6) is 12, 12+1 is 13 so fourth row is correct as well. Assuming the rest of the rows follow this pattern, the correct answer should be C.

vulume of the following is calculte by finding the product of the lenth,width,and height of a prism

Answer:

6

Step-by-step explanation:

The second rational number equals 2 1/3.

Adding the mixed numbers:

[tex]3 \frac{2}{3} + 2 \frac{1}{3} = 5 \frac{3}{3} = 6 [/tex]

Answer:

The answer would be (0, 2/3) or (0, Two-thirds)

Answer:

0, 2/3

Step-by-step explanation:

Answer:

[tex] \sqrt[4]{ {80}^{x} } [/tex]

Step-by-step explanation:

Hope it helps

The simplified expression of (-2 - c)(-1) is 2 + c

We have:

(-2 - c)(-1)

Express as product

(-2 - c) * (-1)

Evaluate the product

2 + c

Hence, the simplified expression of (-2 - c)(-1) is 2 + c

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The 19 th term of the sequence is the first term of the sequence having value greater than 1000.

Given that the n-th term of the sequence is given by,

[tex]a_n=3n^2[/tex]

Let the p-th term be the first term which have value greater than 1000 in the sequence.

The p-th term of the sequence is, [tex]a_p=3p^2[/tex]

According to the condition,

[tex]3p^2 > 1000[/tex]

[tex]\Rightarrow p^2 > \frac{1000}{3}[/tex]

[tex]\Rightarrow p > +\sqrt{\frac{1000}{3}}[/tex], as number of term cannot be negative so we ignore the negative value of square root here

[tex]\Rightarrow p > 18.25\\\Rightarrow p\geq19[/tex]

Hence the first term which has value greater than 1000 is 19 th term of the sequence.

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Answer:

2.3p – 10.1 = 6.49p – 4  [tex]\huge \checkmark[/tex]

230p – 1010 = 650p – 400 – p  [tex]\huge \checkmark[/tex]

Step-by-step explanation:

……………………………………………

2.3p – 10.1 = 6.5p – 4 – 0.01p

⇔ 2.3p – 10.1 = (6.5p – 0.01p) – 4

⇔ 2.3p – 10.1 = (6.5 – 0.01)p – 4

⇔ 2.3p – 10.1 = (6.49)p – 4

⇔ 2.3p – 10.1 = 6.49p – 4

_______________________

_______________________

2.3p – 10.1 = 6.5p – 4 – 0.01p

⇔ 100 × (2.3p – 10.1) = 100 × (6.5p – 4 – 0.01p)  multiply both sides by 100

⇔ 100 × (2.3p – 10.1) = 100 × (6.5p – 4 – 0.01p)

⇔ 230p – 1010 = 650p – 400 – p

……………………………………………………