(3.21 × 103)(1.13 × 105)

Answers

Answer 1

Answer:

39229.25

Step-by-step explanation:

Answer 2

Answer:

39229.25

Step-by-step explanation:

Calculator


Related Questions

WILL GIVE BRANLIEST! pls help ty! ( ignore the selected answer i just pressed one on accident )

Answers

Answer: It's C basically they just have to mirror each other, i hope i helped

Step-by-step explanation:

Answer: I believe the answer is D.

Step-by-step explanation:

Nate’s client said she wanted the width w of every room in her house increased by 2 feet and the length 2w decreased by 5 feet. The polynomial (w+2)(2w−5) or 2w^2 −w−10 gives the new area of any room in the house. The current width of the kitchen is 16 feet. What is the area of the new kitchen?

Answers

Answer:

486 ft²

Step-by-step explanation:

For this, you want to replace every w with 16.

This gives (16+2)(2×16-5) or 2×16²-16-10.

I'm going to show this with the first example because the numbers are a bit easier.

You want to begin by working out the brackets. 16+2=18, and 2×16=32, giving us 18(32-5).

32-5=27, giving 18×27 as the equation.

This equals to 486, so the area is 486 ft².

**This content involves polynomials and area, which you might want to revise. I'm always happy to help!

help me solve this with explanation

Answers

Answer:

x = 19

<6 =  109

<7 = 109

Step-by-step explanation:

Angles 6 and 7 are vertical angles so they are equal

7x -24 = 5x+14

Subtract 5x from each side

7x-5x -24 = 5x-5x+14

2x-24 = 14

Add 24 to each side

2x-24 +24 = 14+24

2x = 38

Divide by 2

2x/2 = 38/2

x = 19

<6 = 7x -24 = 7*19 -24 = 109

<7 = 5(19)+14 = 109

(Trigonometry) Find the values of x and y. Round your answers to the nearest tenth.

Answers

Answer:

[tex]x = 38.1[/tex]

[tex]y = 23.4[/tex]

Step-by-step explanation:

The given triangle is a right triangle. This is indicated by the box around one of the angles, signifying that the angle measure is (9) degrees. By its definition, a right triangle is a triangle with a (90) degree angle, thus the given triangle is a right triangle. In this situation, one can use right-angle trigonometry to find the value of the unknown side. In essence, right triangle trigonometry provides one with a series of ratios to describe the relationship between the sides and angles of the right trinagle. These ratios are the following,

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

Keep in mind that the way a side is named is relative to the angle it is being described from. Thus, the (opposite) and (adjacent) sides acquire different names based on the angle relative to them. However, the (hypotenuse) is the hypotenuse no matter the angle, as the hypotenuse is the side opposite the right angle.

Solve for (y) first. One is given the angle measure and the measure of the side opposite the angle measure. One is asked to find the measure of the side adjacent to the angle. Use the ratio of tangent (tan) to achieve this.

[tex]tan(\theta)=\frac{opposite}{adajcent}\\[/tex]

Substitute,

[tex]tan(52)=\frac{30}{y}[/tex]

Inverse operations,

[tex]y=\frac{30}{tan(52)}[/tex]

Simplify,

[tex]y = 23.4386[/tex]

Now solve for the hypotenuse (x). One could use the Pythagorean theorem to do this, but since this is trigonometry, one might as well use the trigonometric ratios. One is given an angle, as well as the side opposite the angle, one is asked to find the hypotenuse. To do this, one can use the trigonometric ratio of sine (sin).

[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]

Substitute,

[tex]sin(52)=\frac{30}{x}[/tex]

Inverse operations,

[tex]x=\frac{30}{sin(52)}[/tex]

Simplify,

[tex]x = 38.0705[/tex]

Subtract the given polynomials using the vertical format.

Answers

Answer:    10c^3 - 7c^2 + 4c

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

Explanation:

The negative out front of the parenthesis will swap the sign of each term. That means -3c^3 becomes +3c^3, or simply 3c^3. The other terms in the parenthesis are handled the same way.

After distributing the negative through, we add straight down.

The 7c^3+3c^3 becomes 10c^3

Then we have -5c^2+(-2c^2) become -7c^2

Finally, 2c+2c simplifies to 4c

Answer:

10C³-7C²+4C

7c³-(-3c³) -5c²-(+2c²) +2c-(-2c)

83 in scientific notation​

Answers

Answer:

8.3 x 10^1

hope this helps

have a good day :)

Step-by-step explanation:

michelle has three textbooks each way 5/8 pounds what is the total weight of her textbook

Answers

Answer:

1 and 7/8 pounds

Step-by-step explanation:

There are 3 textbooks that each weigh 5/8 of a pound

3*5/8=15/8

1 and 7/8

Simplify each of the following by rationalizing the denominator.
please do answer my doubt

Answers

Answer:

(47+21√5)/2

Step-by-step explanation:

Given the expression

7+3√5/7-3√5

= 7+3√5/7-3√5 * (7+3√5)/(7+3√5)

= 49+21√5+21√5+9(5)/[7(7)-9(5)]

= 49+42√5+45/49-45

= 94+42√5/4

= 2(47+21√5)/4

=(47+21√5)/2

Hence the required expression is (47+21√5)/2

What is the solution to the system of equations

Answers

Step-by-step explanation:

[tex]5x + 3y = 13 \\ 7x + 8y = - 16 \\ 5x = 13 - 3y \\ x = \frac{13 - 3y}{5} \\ 7( \frac{13 - 3y}{5} ) + 8y = - 16 \\ 18.2 - 4.2y + 8y = - 16 \\ 3.8y = - 34.2 \\ y = - 9 \\[/tex]

[tex] x = \frac{13 - 3( - 9)}{5} = \frac{13 + 27}{5} = \frac{40}{5} = 8 \\ x = 8 \\ y = - 9[/tex]

PLEASE HELP Mandalee went to a fruit stand with $20 to spend on berries. She bought 1 pint of blueberries for $3.50, and she bought raspberries for $4.00 per pint. If x
represents the number of pints of raspberries, which inequality represents the maximum number of pints of raspberries she can buy without spending more than $20? Assume all prices include tax.

Answers

Answer:

4

Step-by-step explanation:

4 + 4 + 4 + 4 = 16

16 + 3.50 = 19.50

the 50¢ left is for taxes

The maximum number of pints of raspberries she can buy without spending more than $20 is 4 .

What is inequality?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

According to the question

Mandalee went to a fruit stand to spend on berries = $20

She bought 1 pint of blueberries = $3.50

she bought 1 pint of raspberries =  $4.00

Now,

the number of pints of raspberries = x

inequality represents the maximum number of pints of raspberries she can buy without spending more than $20

i.e

3.50 + 4x < 20

4x < 16.5

x < 4.125

therefore

she can buy 4 raspberries pints .

Hence, the maximum number of pints of raspberries she can buy without spending more than $20 is 4 .

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5 people are going to a dinner party. Each person at the party will eat 23 pounds of turkey. If you can only buy whole pounds of turkey, how many pounds should you buy?

Answers

Answer is B. Hope it helps

Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using this procedure. Step 1: Find the greatest common factor of the given lengths: 7 Step 2: Divide the given lengths by the greatest common factor: 3, 4, 5 Step 3: Verify that the lengths found in step 2 form a Pythagorean triple: 3 squared + 4 squared = 9 + 16 = 25 = 5 squared Leon states that 21, 28, 35 is a Pythagorean triple because the lengths found in step 2 form a Pythagorean triple. Which explains whether or not Leon is correct? Yes, multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple. Yes, any set of lengths with a common factor is a Pythagorean triple. No, the lengths of Pythagorean triples cannot have any common factors. No, the given side lengths can form a Pythagorean triple even if the lengths found in step 2 do not.

Answers

Answer:

Yes, multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple

Step-by-step explanation:

The given side lengths are;

21, 28, and 35

From the given side lengths, the greatest common factor = 7

Therefore, we have;

3 × 7, 4 × 7, and 5 × 7

A Pythagorean triple is formed by three numbers, 'a', 'b', and, 'c', which are both positive and integers, that are related as follows;

c² = a² + b²

Therefore, for the three numbers, we get;

3, 4, and 5 is a Pythagorean triple

5² = 3² + 4²

Multiplying both sides by 7² gives;

(5)² × (7)² = (3)² × (7)² + (4)² × (7)²

By the laws of indices, (a·b)ⁿ = aⁿ × bⁿ

Therefore;

(5 × 7)² = (3 × 7)² + (4 × 7)²

Therefore, multiplying every length of the Pythagorean triple by the same whole number results in a Pythagorean triple.

(The relationship can also be shown using similar triangles, as multiplying the side lengths of a triangle by the same whole number, gives a similar triangle, having the same relationship between its sides)

The point-slope form of the equation of the line that passes through (-9,-2) and (1,3) is y-3=1/2(x-1) what is the slope-intercept form of the equation for this line

Answers

Answer:

y = (1/2)x + 2 1/2

Step-by-step explanation:

y - 3 = (1/2)(x - 1)

Distribute the 1/2

y - 3 = (1/2)x - 1/2

Add 3 to both sides

y = (1/2)x + 2 1/2

1. Suly watched a film that was 90 minutes long. 1/6 of the way through the film, the
doorbell rang. The pizza man had arrived with the order.
How many minutes of the film had she watched before the pizza man arrived?
(3 marks)
a.​

Answers

Answer:

15 minutes

Step-by-step explanation:

Suly watched a film that was 90 minutes long. Then, she stopped at the [tex]\frac{1}{6}[/tex]mark. This means that we have to find [tex]\frac{1}{6}[/tex] of 90 minutes to find the amount of time Suly watched before the pizza man arrived. So therefore, the answer is 15 minutes.

Have a nice day. : )

Answer:

15 minutes

Step-by-step explanation:

Given:

The film Suly is watching is 90 minutes longSuly watched 1/6 of the film before the pizza man arrived

Steps:

90/6=15

HELP! Which of the following statements would prove line l is parallel to line m?

Answers

Answer:

Non of these.

Step-by-step explanation:

Because each of the options before have ≈ instead of =, however, to prove 2 lines are parallel, some angles must be equal. Corresponding angles and alternate angles should be equal. exactly equal.

between which 2 square roots does 7 lie
6,7
23,30
32,43
45,60

Answers

Answer:

32, 43

Step-by-step explanation:

Your welcome! :)

Answer:

The answer is 45,60.

Step-by-step explanation:

We can use a square chart to answer this question.

I will zoom in to the particular ones we need.

[tex] {6}^{2} = 36[/tex]

[tex]{7}^{2} = 49[/tex]

[tex] {8}^{2} = 64[/tex]

7 is the square root of 49.

45 lies in between 36 and 49 so its square root is more than 6 but less than 7. It is around 6.708 to the nearest thousandth.

Meanwhile, 60 lies in between 49 and 64 so its square root is more than 7 but less than 8. It is around 7.746 to the nearest thousandth.

Hence, we can say that 7 lies in between the square root of 45 and the square root of 60.

Which of the following expressions is undefined

cot180°
sec0°
csc(-90°)​

Answers

Answer:

Step-by-step explanation:

cot x = adjacent side / opposite side

So cot 180 = x / 0 which is undefined.

Which one of the following represents exponential growth?

A: y = (48000)(.05)^x
B: y = (48000)(.95)^x
C: y = 2400(.05)^x
D: y = (48000)(1.05)^x

Answers

I believe D !!!!!! Hopefully that helps

Two positive numbers have a difference of 21. The larger number is five more than twice the smaller. Find the two numbers.

Answers

Let n = the smaller of the two numbers, and since the other number is 5 more than twice the smaller number n, then ...

Let 2n + 5 = the second and larger number.

Since the sum of the two unknown numbers is 26, then we can write the following equation to be solved for n as follows:
n + (2n + 5) = 26

n + 2n + 5 = 26

Collecting like-terms on the left, we get:
3n + 5 = 26

3n + 5 - 5 = 26 - 5

3n + 0 = 21

3n = 21

(3n)/3 = 21/3

(3/3)n = 21/3

(1)n = 7

n = 7

Therefore, ...
2n + 5 = 2(7) + 5
= 14 + 5
= 19

CHECK:
n + (2n + 5) = 26
7 + (19) = 26
7 + 19 = 26
26 = 26

Therefore, the two desired numbers whose sum is 26 are indeed 7 and 19.

Hope this helps :)

what does the scale 1:500 000 mean​

Answers

A scale of 1:5000000 means that:

This is mainly used in map or shadow etc. things.

For example in map it is given that the scale is 1mm:5000000mm, then it means that 1mm on the map is equal to 5000000mm in real life. So, you can be asked what does 5mm on map means in real life. So, you have to solve like this:

5 × 5000000 = real life size

25000000mm = real life size

In shadow like question, it can be asked that if 5000000 m of building casts a shadow of 1 m, then how much will be the shadow of a 10000000 m building. So, you have to solve it like this:

(10000000/5000000) × 1 = shadow size

=> 2 × 1 = shadow size

=> 2m = shadow size

You can tell me the specific questions so that I can help.

The scale 1:500 000 mean​s 1 unit on a map represents 500000 in real life

What are scales?

Scales are used to represent big or small measurements on a map or graph

How to interpret the scale?

The scale is given as:

1:500 000

The above means that:

1 unit on a map represents 500000 in real life

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Choose the number sentence that illustrates the distributive property of multiplication over addition.
a.) 3 × (4 + 6) = (3 × 4) + (3 × 6)
b.) 3 × (4 + 6) = (3 + 4) × (3 + 6)
c.) 3 × (4 + 6) = (3 × 4) + 6

Answers

Answer:

A. LHS,

3×(4+6)

3×10

30

NOW,

RHS,

(3×4)+(3×6)

12+18

30

Therefore, A is ans

QUESTION 2
Simplify the following
a5×a7​

Answers

Answer:

[tex]a^{12}[/tex]

Step-by-step explanation:

Identity Used :   [tex]a^x \times a^y = a^{x+ y}[/tex]

   

       [tex]a^5 \times a^7 = a^{5 + 7} = a^{12}[/tex]

39.76÷7.94
use compatible numbers and estimate

Answers

Answer:

5

Step-by-step explanation:

As for estimation, you may round 39.76 to the whole number, resulting in 40.

7.94 to 8

40 / 8 = 5

5 is your answer for the result of estimation

The answer to the question you asked is 5

Stan earns $12 per hour by working as an intern at a law firm. How much money does he earn in a week in which he works 28 hours? A. $400 B.$380 C.$350 D.$336 E.$300

Answers

Answer:

The answer is D

Step-by-step explanation:

When factored completely, which is a factor of 6x^3-12x^2-48x?

Answers

Answer: C

Step-by-step explanation:

The solution is Option A.

The value of the equation is 6x³ - 12x² - 48x is A = 6x ( x + 2 ) ( x - 4 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 6x³ - 12x² - 48x   be equation (1)

On simplifying the equation , we get

Taking 6x as the common factor , we get

A = 6x ( x² - 2x - 8 )

On simplifying the equation , we get

A = 6x ( x + 2 ) ( x - 4 )

Therefore , the value of A is 6x ( x + 2 ) ( x - 4 )

Hence , the equation is 6x ( x + 2 ) ( x - 4 )

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The probability that a newborn baby at a certain hospital is male is 50%. What is the probability that exactly 2 out of 3 babies born in the hospital on any given day are male?

Answers

Answer:

50/50 bc you dont know until he/she is born

The requried probability that exactly 2 out of 3 babies born in the hospital on any given day are male is 0.375 or 37.5%.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

This is a binomial probability problem with n = 3 (three babies) and p = 0.5 (probability of a baby being male).

The probability of exactly 2 out of 3 babies being male can be calculated using the binomial probability formula:

[tex]P(X = 2) = (n choose X) * p^X * (1 - p)^{(n - X)}[/tex]

where "n choose X" is the binomial coefficient, equal to n! / (X! * (n - X)!) and X is the number of successes (in this case, 2).

Substituting the values, we get:

[tex]P(X = 2) = (3 choose 2) * 0.5^2 * (1 - 0.5)^{(3 - 2)}[/tex]

= 3 * 0.25 * 0.5

= 0.375

Therefore, the probability that exactly 2 out of 3 babies born in the hospital on any given day are male is 0.375 or 37.5%.

Learn more about probability here:

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data distribution lol

Answers

Answer:

The range of the value of numbers is 8

Step-by-step explanation:

Mathematically, the range refers to the difference between the biggest and the smallest number

From the diagram, the biggest number is 13and the smallest is 5

The difference between this two is the range

we have this as 13 -5 = 8

1. Which of these numbered equations is true?
1) 5*0+5*1=10

2) 5*0+5*1=5

3) 5*0+5*1=11

4) 5*0+5*1

Answers

Answer:

Number 2 is correct

Step-by-step explanation

First you multiply 5 and 0

then simplify and multiply5 and 1

5*1=5

Hope this helps

# 2 is the correct answer:)

quadrilateral BANK is a parallelogram. if AB= 10cm and AN= 6cm, what is the length of NK?

guys patulong, thanks!

Answers

Answer:

The length of NK is 10 cm.

Answer:

10 cm

Step-by-step explanation:

In parallelogram, opposite sides are parallel and equal.

AB and NK are opposite sides

So, NK = AB = 10cm

A school has 833 students. Of those students, 463 play a sport (A), 52 are in the band (B), and 21 do both(AB). (C) represents neither.

Answers

Answer:

Im sorry but it is kind of confusing

Step-by-step explanation:

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