Calculate the product below and give your
answer in scientific notation.
(5.2 × 10-2) × (8.0 × 10-4) = ?

The correct interpretation of this result is that the researcher is 94% certain that the average amount of time spent by commuters who use the public transit system is between 17.86 to 27.45 minutes.

The confidence interval is the average estimate, plus and minus the values obtained from the research. The two values obtained from the research represent the expected range within which the values can fall between.

In the question above, the range is between 17.86 to 27.45 minutes. The research is sure that the average about of time spent by commuters must fall within these values. The degree of certainty is 94%.

Learn more about the confidence interval here:

https://brainly.com/question/15712887

#SPJ4

Answer: that would make it 62 F.

Based on the explanation below, the conclusion that Elan is tired because Elan stayed up late is invalid.

In the question, it is stated that if Elan stays up late, he will be tired the next day.

However, staying up late is not the only thing that could make Elan get tired.

This implies that there are so many other things than can make Elan get tired such as working for long hours.

It is possible that Elan was tired because Elans worked long hours.

By implication, the conclusion is invalid.

Learn more about the conclusion here: https://brainly.com/question/15292067.

#SPJ1

the region of space between the parallel planes x = 0

and x = 5

0 < x < 5

A direction or plane traveling past a specific place is considered to be vertical in astronomy, geography, and other relevant fields and settings if it contains the local gravity direction at that location. On the other hand, if a direction or plane is perpendicular to the vertical direction, it is said to be horizontal. The y-axis in the Cartesian coordinate system is an example of something that can generally be drawn from up to down (or down to up). The word vertical is derived from the late Latin verticalis, which is from the same root as vertex and means "highest point" or more literally the "turning point" such as in a whirlpool.

To know more about vertical plane, visit;

https://brainly.com/question/3511228

#SPJ4

The expressions that are equivalent to the given expression are 4 - 6 and -6 + 4

The expression is given as:

(4 * 1) - 6

Evaluate the product of 4 and 1

So, we have:

(4 * 1) - 6 = 4 - 6

By the subtractive property of and equation, we have:

(4 * 1) - 6 = -6 + 4

Hence, the expressions that are equivalent to the given expression are 4 - 6 and -6 + 4

Read more about expressions at

https://brainly.com/question/723406

#SPJ1

Answer:

a. zy = yz

Step-by-step explanation:

Commutative property of multiplication rule:

(a)(b) = (b)(a)

[tex]r = \frac{u_{4}}{u_{3}} = \frac{ - 56}{28} = - 2[/tex]

[tex]u_{n} = u_{1} \times r {}^{n - 1} \\ ie \colon \: u_{4} = u_{1} \times r {}^{4 - 1} \\ \: \: \: - 56 = u_{1} \times ( - 2) {}^{3} \\ u_{1} = \frac{ - 56}{ - 8} = 7[/tex]

[tex]S_{n} = ( \frac{1 - r {}^{n} }{1 - r} ) \: (u_{1}) \\ S_{6}=( \frac{1 - ( - 2) {}^{6} }{1 - ( - 2)} ) \: (7) \\ S_{6}= - 147[/tex]

a. The common ratio is -2.

b. The first term is 7

c. The sum of the GP is -147

(a) To find the common ratio (r), we can use the formula for the nth term of a geometric progression (G.P):

[tex]A_n = A_1 * r^(^n^-^1^)[/tex],

where Aₙ is the nth term, A₁ is the first term, r is the common ratio, and n is the term number.

Given that the 3rd term (A₃) is 28 and the 4th term (A₄) is -56, we can set up two equations using the formula above:

[tex]28 = A_1 * r^(^3^-^1^)[/tex],     (Equation 1)

[tex]-56 = A_1 * r^(^4^-^1^)[/tex].     (Equation 2)

Dividing Equation 2 by Equation 1, we get:

[tex]-56/28 = (A_1 * r^(^4^-^1^)^) / (A_1 * r^(^3^-^1^))\\-2 = r.[/tex]

Therefore, the common ratio (r) is -2.

(b) To find the first term (A1), we can substitute the known values into one of the equations. Let's use Equation 1:

[tex]28 = A_1 * (-2)^(^3^-^1^)\\28 = A_1 * (-2)^2\\28 = A_1 * 4\\A_1 = 7[/tex]

Therefore, the first term (A₁) is 7.

(c) To find the sum of the geometric progression, we can use the formula for the sum of the first n terms of a geometric progression:

[tex]S_n = (A_1 * (1 - r^n)) / (1 - r)[/tex],

where Sₙ is the sum of the first n terms.

Given that there are 6 terms (n = 6), A₁ = 7, and r = -2, we can calculate the sum (S₆):

[tex]S_6 = (7 * (1 - (-2)^6)) / (1 - (-2)).[/tex]

Simplifying:

S₆= (7 * (1 - 64)) / (1 + 2),

S₆ = (7 * (-63)) / 3,

S₆ = -147.

Therefore, the sum of the geometric progression is -147.

Learn more on geometric progression here;

https://brainly.com/question/12136851

#SPJ2

Answer:

4 and 3

Step-by-step explanation:

You can create an equation with this. If your first number is y and your second is x, then we know that y is 5 less than 2x. This leads to your equation - y = 2x - 5.

With your equation, you can then figure out your numbers; we know there's a limited number of possibilities - anything 7 or less added to a number can equal 7 so:

7+0=7

6+1=7

5+2=7

4+3=7

3+4=7

2+5=7

1+6=7

0+7=7

From there, plug in one number for x and see if y matches the expected number. For example:

2(7)-5=9, so we know the 7,0 combination cannot be correct. As we go through the list, we find that 4,3 works:

2(4)-5=3

Answer:

73.39

Step-by-step explanation:

Answer:

73.705

Step-by-step explanation:

73.700

73.705

73.710

Divide 0.01 by 2 and u would get 0.005

Matching of each addition operation with their correct sum is;

1) -24⁵/₉ + 30⁷/₉ → 6²/₉

2)  45²/₉ + 39³/₉ → 84⁵/₉

3)  28.98 + (-52.22) → -23.24

4) 56.75 + 75.12 → 131.87

1) We want to add the fractions;

-24⁵/₉ + 30⁷/₉

= -221/9 + 277/9

= ¹/₉(-221 + 277)

= 56/9

= 6²/₉

2)  We want to add the fractions;

45²/₉ + 39³/₉

= 407/9 + 354/9

= 761/9

= 84⁵/₉

3)  We want to add the decimals;

28.98 + (-52.22)

= 28.98 - 52.22

= -23.24

4) We want to add the decimals;

56.75 + 75.12

= 131.87

Read more about Addition Operation at; https://brainly.com/question/4721701

#SPJ1

Paula shovels 3 square feet more than Melinda in 1 minute.

We are given two equations relating the distance covered by each while they shovel. Assuming the x to be representative of Melinda's speed and y to be representative of Paula's speed. Making at least one coefficient same for both the equation.

Equation 1 : 30x + 30y = 450

Equation 2 : 20x + 25y = 345

Dividing equation 1 and equation 2 by 5.

Equation 3 : 6x + 6y = 90

Equation 4 : 4x + 5y = 69

Multiplying equation 3 with 4 and equation 4 with 6.

Equation 5 : 24x + 24y = 360

Equation 6 : 24x + 30y = 414

Subtracting Equation 5 from Equation 6.

  24x + 30y = 414

- 24x + 24y = 360

6y = 54

y = 9

Keep the value of y in equation 3

6x + 6×9 = 90

6x + 54 = 90

6x = 90 - 54

6x = 36

x = 6

So, Melinda's speed is 6 square feet per minute and Paula's speed is 9 square feet per minute.

Difference between speed = 9 - 6

Difference = 3 square feet per minute

Hence, Paula's speed is 3 square feet per minute more than Melinda.

Learn more about solving expression -

https://brainly.com/question/723406

#SPJ4

The complete question is -

Melinda and Paula shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paula shoveled for 25 minutes to complete 345 square feet of driveway.

30x + 30y = 45020x + 25y = 345

How much more can Paula shovel in 1 minute than Melinda?

3 square feet per minute

6 square feet per minute

9 square feet per minute

15 square feet per minute

Answer:

A: 3 square feet per minute

Step-by-step explanation:

Answer:

108347  (srry for not seeing bestay)

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

-2(2x-4)=4x

Distributive property.

-4x+8=4x

+4x      +4x

8x=8

/8  /8

x=1

Hope this helps!

Please mark as brainliest if correct!

Answer:

no

Step-by-step explanation:

the divisibility rule of 9 says that if the sum of the numbers of the number you are going to divide by 9 is a multiple of 9 then it is divisible by nine.

1+1+2+2+8+3=17 which is not a multiple of 9.

Therefore it is not divisible by 9.

The Original price of the item  was $400.

Percentage can be defined as a number that denotes hundredth part of any quantity.

For Example , 50%of 30 =[tex]\frac{50}{100} *30=\frac{1500}{100} =15[/tex].

In the given question

Amount paid by Joyce = $120

Let the original price =x

Percent of original price = 30%

According to the given Question

30% of x =120

[tex]\frac{30}{100} *x=120\\ \\ x=\frac{120*100}{30}\\ \\ \\ x=400[/tex]

Therefore , the Original price of the item  was $400.

Learn more about Percentage here https://brainly.com/question/13696796

#SPJ4

Given the endpoints of the diameter, the length of the diameter of the circle P is 20.0.

The distance formula used to determine the distance between two points is expressed as;

D = √( (x₂ - x₁)² + (y₂ - y₁)² )

Given the data in the question;

Point 1: (5, -5)

Point 2: (-7, 11)

Plug the given values into the distance formula and simplify.

D = √( (x₂ - x₁)² + (y₂ - y₁)² )

D = √( (-7 - 5)² + (11 - (-5))² )

D = √( (-12)² + (11 + 5)² )

D = √( (-12)² + (16)² )

D = √( 144 + 256 )

D = √( 400 )

D = 20.0

Given the endpoints of the diameter, the length of the diameter of the circle P is 20.0.

Learn more about distance formula here: https://brainly.com/question/2459683

#SPJ1

Based on the information given, the value of x is 4

A line segment can be defined as the part of a straight line bounded by two distinct end points, and also contains every point on the line that is between its endpoints.

From the information given, we have PQ and RS are on the the same line with points Q and R as the line segments

We have that;

9x - 7 = 29

collect  like terms

9x = 29 + 7

9x = 36

Make 'x' the subject

x = 36/ 9

x  = 4

Thus, the value of x is 4

Learn more about line segment here:

https://brainly.com/question/17374569

#SPJ1

The statements and reasons to find x in a two column proof are as detailed below.

From the given image, we can carry out the two column proof to find the value of x as;

Statement 1; ∠QWT and ∠TWX are complementary

Reason 1; Given

Statement 2; m∠QWT + m∠TWX = 90°

Reason 2; Definition of Complementary angles

Statement 3; 2x + x + 6

Reason 3; Substitution

Statement 4; 3x + 6 = 90°

Reason 4; Addition

Statement 5; 3x = 84

Reason 5; Subtraction

Statement 6; x = 28

Reason 6; Division

Read more about Two Column Proofs at; https://brainly.com/question/1788884

#SPJ1

Answer:

Step-by-step explanation:

Not sure..

5/12 cups of dog food are recommended for a 25-pound adult dog by using the proportion.

We are given that:

The relationship between x and y

We need to find  the dog food for the 25-pound adult dog

The weight of the adult dog (X) is proportional to the amount of dog food in cups are proportional.

x = k y

k = x / y

k = 10 / 1/6

k = 10 (6)

k = 60

Let the dog food recommended for the 25-pound adult dog be y.

Weight of the dog = x = 25 pounds

Cups of dog food recommended = y

k = 60

Using the equation for the given relationship:

25 = 60 × y

y = 25 / 60

y = 5 / 12

Therefore, 5/12 cups of dog food are recommended for a 25-pound adult dog by using the proportion.

Learn more about proportional here:

https://brainly.com/question/24868934

#SPJ9

Answer: 37.98 (I assume you mean times)

Step-by-step explanation:

Calculator :)

The scalar product between two vectors involves the cosine function of the angle between the lines of action of the two vectors.

The dot product, also known as the scalar product, is an algebraic operation that takes two sequences of numbers of equal length (often coordinate vectors) and outputs a single number. The dot product of two vectors' Cartesian coordinates is frequently used in Euclidean geometry. Although other inner products can be defined in Euclidean space, it is frequently referred to as the inner product (or, less frequently, projection product) of Euclidean space (see Inner product space for more). The sum of the products of the matching entries of the two number sequences is the dot product, according to algebra. Geometrically, it is the result of adding the cosine of the angle between the two vectors and the Euclidean magnitudes of the two vectors.

To know more about scalar product, visit:

https://brainly.com/question/2289103

#SPJ4

Step-by-step explanation:

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

Answer:

the answer is becareful

Answer:

use air math they help and show you how to show your work it was a game changer for me

Step-by-step explanation:

The multiplication of [tex](2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )[/tex]in scientific notation is [tex]9.6 \times {10}^{21} [/tex]

Multiply the decimal numbers to multiply the integers in scientific notation. Add the 10 power exponents after that. In scientific notation, place the new power of 10 with the decimal.

given that [tex](2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )[/tex]

Now, find the answer in scientific notation

[tex](2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )[/tex]

combine the all the like terms

[tex](2.4 \times 4)( {10}^{14} \times {10}^{7} )[/tex]

According to the exponent same base rule, an exponent will be added if the bases of two exponents are the same.

[tex](9.6) \times ( {10}^{14 + 7)} ) \\ 9.6 \times {10}^{21} [/tex]

Hence,the multiplication of[tex](2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )[/tex] in scientific notation is [tex]9.6 \times {10}^{21} [/tex]

Learn more about multiplication in scientific notation from here:

https://brainly.com/question/28345285

#SPJ4

The correct answer is 9x-18.

The ability to reverse other functions makes a function an inverse function. It is somewhat similar to undoing another function, which returns you to your starting point. Driving from home to the shop is a function, and driving from the shop back to home is a function.

The inverse of a trigonometric function, the inverse of a rational function, the inverse of a hyperbolic function, and the inverse of a log function are just a few examples of the various types of inverse functions.

Substituting f(x) with y

f(x)=1/9x+2

y=1/9x+2

x=1/9y+2

x-2=1/9y

y=9x-18

Thus inverse is f^-1(x)=9x-18

To learn more about inverse function refer the link:

https://brainly.com/question/19755382

#SPJ9