Find the rate of change for this graph from your card sorting activity

A) 3/2
B) -1/4
C) -2/3
D) 4/1

Engineering notation of the number  (8.2 × 103) × (5.0 × 104) is

4.39192 × 10⁵

OR

4.4 ₓ 10⁵.

Engineering notation is same as scientific notation.

According to the given question

Converting (8.2 × 103) × (5.0 × 104) to engineering notation can be done using a base and raising it to the power of 10.

Base can be greater than or equal to 1 and less than 10.

Suppose base is a

∴ 1≤a<10 and the number in engineering notation will be of the form a×10ⁿ

Given (8.2 × 103) × (5.0 × 104) which is

=  844.6 × 520

= 439192

=4.39192 × 10⁵

= 4.4 ₓ 10⁵.

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The product and the quotient of the functions are as follows:

(rs)(4) =8

(r / s)(3) = 2

A function relates input and output. It relates an independent variable with a dependent variable.

Therefore, let's solve the function as follows:

r(x) = 2√x

s(x) = √x

Therefore, let's find

(rs)(4) = r(4) × s(4) = 2√4 × √4 = 4 × 2 = 8

Let's find

(r / s)(3) = r(3) / s(3) = 2√3 / √3 = 2

Therefore,

(rs)(4) =8

(r / s)(3) = 2

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Answer:

6.5 hours

Step-by-step explanation:

If Luis can ride 26 miles in 4 hours then you need to find out how much he can ride in 1 hour. Therefore you divide 26 miles into the hours he rode in to get 6.5

Therefore his hourly rate is 6.5

Answer: False

Step-by-step explanation: this is false because Rational Numbers: Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. ... So, any terminating decimal is a rational number.

Answer:

15. 2x^4

16. 37y

17. 13b-10

18. 5x+4

19. 4y+10

:)

☁️ Answer ☁️

15. 2x^4.

Subtract 5x^4 from 7x^4.

16. 37y.

Explanation: 32y + 5y = 37y 37y = 0 Solving 37y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '37'. y = 0 Simplifying y = 0

17. Add 6b and 7b = 13b - 10

18. Add 2x and 3x = 5x + 4

19. 4y + 10

Hope it helps.

Have a nice day hyung/noona!~ ￣▽￣❤️

The the length of each side of the triangle are: 5 units, 8.7 units and 10 units respective

A triangle is a polygon with three sides, three angles, three vertices and sum of angles equal to 180 degrees

From the triangle, Using the trigonometric ratio of sine

Sin C = opposite/Hypothenuse

Sin30 = 5/H

Making h the subject of the relation we have

h= 5/sin30

h=5/0.5

Therefore the value of h=10 units

To find the third side use Pythagoras theorem

10² = 5²+p²

100-25 = p²

75 = p²

Taking the square of both sides

p=√75

p=8.7 units

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Answer:

μp^​​​​​ = 0.8

σp^ = √0.8(1−0.8)/75​​​

Step-by-step explanation:

Person 3's payment exceeded person 2's payment by $20.

To find out how much more person 3 paid than person 2, we need to calculate the amounts each person paid based on the given ratio and then compare their payments.

The ratio given is 1:2:3, which means that person 1 gets 1 part, person 2 gets 2 parts, and person 3 gets 3 parts of the total amount.

Step 1: Calculate the total number of parts in the ratio.

1 + 2 + 3 = 6

Step 2: Determine the value of one part.

$120 (total amount) divided by 6 (total number of parts) = $20

Step 3: Calculate the payments for each person based on the ratio.

Person 1: 1 part * $20 = $20

Person 2: 2 parts * $20 = $40

Person 3: 3 parts * $20 = $60

Therefore, person 3 paid $60, while person 2 paid $40. To find out how much more person 3 paid than person 2, we subtract the amount person 2 paid from the amount person 3 paid:

$60 - $40 = $20

Hence, person 3 paid $20 more than person 2.

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We are required to evaluate the following.

\( (a) lim_{x \rightarrow a} \dfrac{f(x)}{g(x)} \\(b) lim_{x \rightarrow a} \dfrac{f(x)}{p(x)} \\(c) lim_{x \rightarrow a} \dfrac{h(x)}{p(x)} \\(d)lim_{x \rightarrow a} \dfrac{p(x)}{q(x)} \)

Answer:

(a)Indeterminate

(b)0

(c)0

(d)Indeterminate

Step-by-step explanation:

Given:

\( lim_{x \rightarrow a} f(x) = 0\\ lim_{x \rightarrow a} g(x) = 0\\ lim_{x \rightarrow a} h(x) = 1\\ lim_{x \rightarrow a} p(x) = \infty\\ lim_{x \rightarrow a} q(x) = \infty \)

Part A

\( (a) lim_{x \rightarrow a} \dfrac{f(x)}{g(x)} =\dfrac{lim_{x \rightarrow a}f(x)}{lim_{x \rightarrow a}g(x)} \\=\dfrac{0}{0}=Indeterminate\)

Part B

\(lim_{x \right arrow a} \dfrac{f(x)}{p(x)} =\dfrac{lim_{x \rightarrow a}f(x)}{lim_{x \rightarrow a}p(x)} \\=\dfrac{0}{\infty}=0\)

Part C

\(lim_{x \rightarrow a} \dfrac{h(x)}{p(x)}

=\dfrac{lim_{x \rightarrow a}h(x)}{lim_{x \rightarrow a}p(x)} \\=\dfrac{1}{\infty}=0\)

Part D

\(lim_{x \rightarrow a} \dfrac{p(x)}{q(x)} =\dfrac{lim_{x \rightarrow a}p(x)}{lim_{x \rightarrow a}q(x)} \\=\dfrac{\infty}{\infty}=Indeterminate\)

The limits which have indeterminate form , shown below;

                  \(\lim_{x \to a} \frac{f(x)}{g(x)}=\frac{0}{0} \\\\\lim_{x \to a} \frac{p(x)}{q(x)}=\frac{\infty}{\infty}\)

An indeterminate form is an expression involving two functions whose limit cannot be determined solely from the limits of the individual functions.

Some Indeterminate form of limits are,

           0/0,  ∞/∞,  0·∞,  ∞−∞, ∞*0

It is given that,

               \(\lim_{x \to a} f(x)=0\\\\ \lim_{x \to a} g(x)=0\\\\ \lim_{x \to a} h(x)=1\\\\ \lim_{x \to a} p(x)=\infty\\\\\lim_{x \to a} q(x)=\infty\)

Now we have to find following;

      \(\lim_{x \to a} \frac{f(x)}{g(x)}=\frac{0}{0} \\\\\lim_{x \to a} \frac{f(x)}{p(x)}=\frac{0}{\infty}\\\\\lim_{x \to a} \frac{h(x)}{p(x)}=\frac{1}{\infty}=0\\\\\lim_{x \to a} \frac{p(x)}{q(x)}=\frac{\infty}{\infty}\)

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A utility approach should be applied when making decisions under conditions of uncertainty or risk.

It is a mathematical framework that quantifies preferences and assigns utilities (values representing desirability) to different outcomes.

By evaluating the expected utilities of various options, decision-makers can make rational choices that maximize their overall well-being or utility.

This approach is particularly useful when there are multiple possible outcomes with associated probabilities, allowing for a systematic analysis of the potential benefits and risks of different choices.

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11.2% of the mass of a water molecule is hydrogen

As water is composed of two parts hydrogen and one part oxygen, the total mass of a single molecule may be determined by ascertaining the following:

The Total Mass of Water = (2 x Mass of Hydrogen) + (1 x Mass of Oxygen)

Total Mass of Water = (2 x 1.01u) + (1 x 16.00u)

Total Mass of Water = 18.02u

Consequently, the overall mass of one molecule of water is determined to be 18.02 atomic mass units (u).

% mass of hydrogen = (mass of hydrogen / total mass of water) × 100

% mass of hydrogen = (2.02u / 18.02u) × 100

% mass of hydrogen = 11.2%

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Answer:

x=12°

Step-by-step explanation:

as the measures of angles of triangle = 180°

then: 180=48+30+x

then x= 180-(48+30)= 102°

The quantity of ribbon that Ali started with was 16/21 feet, based on the mathematical operation of addition.

The basic mathematical operations include addition, subtraction, division, and multiplication.

In the addition operation, two or more addends are added to obtain a result called the sum or total using the equation symbol (=) and the addition operand (+).

The quantity of ribbon attached to the rearview mirror = 2/7

The remaining quantity of ribbon after the attachment = 10/21

The quantity of ribbon Ali started with = 16/21 (2/7 + 10/21)

Thus, using the addition operation, we can conclude that Ali started with 16/21 feet of ribbon.

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Answer:

14×2=28

Step-by-step explanation:

(8+6)(-5+7)=

(14)(2)=

14×2=28

Answer:

C.) 2^10

Step-by-step explanation:

You would add the exponents which in this case are 3 and 7 getting 10 as your exponent.

Answer: C)

Step-by-step explanation: If you do 2^3 x 2^7 = 1024 also 2^10 = 1024

Answer:

I will gladly help (see explanation)

Step-by-step explanation:

1. 8.21n−5.3−(7+11.8n)

Distribute the Negative Sign:

=8.21n−5.3+−1(7+11.8n)

=8.21n+−5.3+(−1)(7)+−1(11.8n)

=8.21n+−5.3+−7+−11.8n

Combine Like Terms:

=8.21n+−5.3+−7+−11.8n

=(8.21n+−11.8n)+(−5.3+−7)

=−3.59n+−12.3

(Hope his helped, Good Luck! )

Answer:

-3.59 - 12.3

Step-by-step explanation:

Algebraic Expressions are similar to numerical expressions but instead of just numbers, alphabet variables are being used as well.

Note: BODMAS rule applies to Algebraic Expressions as well.

Eg. 7x + 4 + 5y + 4x = 11x + 5y + 4

Given from the question:

(8.21n - 5.3) - (7 + 11.8n)

= 8.21n - 5.3 - 7 - 11.8n

= 8.21n - 11.8n - 5.3 - 7

= -3.59n - 12.3

Therefore, the answer is -3.59 - 12.3.

The area of the kite is A = 48 units²

Given data ,

Let the area of the kite be represented as A

Now , the value of A is

Let the first diagonal of the kite be d₁ = 12 units

Let the second diagonal of the kite be d₂ = 8 units

Now , Area of kite = ( 1/2 ) d₁ x d₂

On simplifying , we get

A = ( 1/2 ) ( 12 ) ( 8 )

A = 48 units²

Therefore , the value of A is A = 48 units²

Hence , the area of the kite is A = 48 units²

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The shapes which are similar to shape A are the shape in pink color, the shape in blue color inside the square and the shape in voilet color inside the square.

From the given figure, we can find the similar shapes

From shape A to shape in pink color, the  translation is rotation about the origin at 90° counterclockwise.

From shape A to shape  the shape in blue color inside the square, the translation is diminishment with the scale factor 0.5 and opposite rotation about an origin 90° clockwise.

From shape A to the shape in voilet color inside the square, the translation is enlargement with the scale factor 1.5 and opposite.

Shapes in various dimensions are scaled using the scale factor. In geometry, we study a variety of two- and three-dimensional geometrical shapes. A measurement for similar figures that appear the same but have distinct scales or measures is the scale factor.

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Answer:

Obtuse angle

Step-by-step explanation:

Your angle equals 180, so it would be a Obtuse angle

Answer:

  (b)  (x, y) ⇒ (-x, y); (x, y) ⇒ (x + 1, y + 1)

Step-by-step explanation:

A graph shows the image is consistent with reflection over the y-axis

  (x, y) ⇒ (-x, y)

and translation right 1, up 1

  (x, y) ⇒ (x +1, y +1)

These transformations are listed in the second choice.

__

In the attachment, the original image is blue, the reflected image is purple, and the final translated image is red.

The value of t₄ in the arithmetic sequence is 103/8.To determine the value of t₄ in an arithmetic sequence, we need to use the given information that t₁ = 11 (the first term of the sequence) and S₉ = 243 (the sum of the first 9 terms of the sequence).

We know that the formula for the sum of an arithmetic sequence is Sₙ = (n/2)(2a + (n-1)d), where Sₙ is the sum, a is the first term, n is the number of terms, and d is the common difference.

From the given information, we have S₉ = 243, a = 11, and n = 9. Plugging these values into the sum formula, we can solve for d:

243 = (9/2)(2(11) + (9-1)d)

243 = 9(22 + 8d)

243 = 198 + 72d

45 = 72d

d = 45/72 = 5/8

Now that we have the common difference, we can find t₄ using the formula for the nth term of an arithmetic sequence:

tₙ = a + (n-1)d

t₄ = 11 + (4-1)(5/8)

t₄ = 11 + 3(5/8)

t₄ = 11 + 15/8

t₄ = 88/8 + 15/8

t₄ = 103/8

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Answer:

Step-by-step explanation:

4(x+2)+3(2x+5)

4x+8+6x+15

10x+23

Answer:

It is 10x + 23

Answer:

The speed of Todd's snowmobile was 22 miles an hour

Step-by-step explanation:

:))

The speed of Todd's automobile is 31 miles per hour.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

Given that It took Todd 11 hours to travel over pack ice from one town in the Arctic to another town 330 miles away. During the return journey, it took him 15 hours.

For the first journey,

v₁ + v₂ = 330 / 11    ......................( 1 )

For the return journey,

v₂ - v₁ = 330 / 15 .........................( 2 )

From equation ( 1 ) and equation ( 2 ),

2v₂ = ( 330 / 11 ) + ( 330 / 15 )

2v₂ = ( 330 ) ( 31 / 165 )

v₂ = 165 ( 31 / 165 )

v₂ = 31 miles per hour

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To estimate the stationary baseline random yield, we need to consider the average yield of the die on the wafer, which is 60%. We also need to consider the number of die per wafer, which is 400.

The stationary baseline random yield can be calculated by multiplying the average yield of the die by the number of die per wafer. This gives us a stationary baseline random yield of 400 * 0.6 = 240 die.

The systematic mechanisms limited yield is the maximum yield that can be achieved when all the systematic mechanisms are addressed. In this case, the best yield observed was 82% at two die sites. Since this yield occurs at only two die sites, we can estimate the systematic mechanisms limited yield by multiplying the number of die per wafer by this yield. This gives us a systematic mechanisms limited yield of 400 * 0.82 = 328 die.

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Answer:

-19

Step-by-step explanation:

Previous position in sea + change in position= current position

-26+7= -19

Hope this helps! :)

Answer:

It is -19

Step-by-step explanation:

Well, you would do this -26 + 7 because the diver dove 26 feet BELOW sea level, which is also -26. He then ascends 7 feet, which means he is coming UP. So -26 + 7 = -19.

The corresponding height of similar rectangular prism m is 9 centimeter.

Given that, the volume of rectangular prism m is 17 cm³ and the volume of rectangular prism n is 136 cm³.

If two solids are similar, then the ratio of their volumes is equal to the cube of the ratio of their corresponding linear measures.

The height of n is 18 cm.

Here, m³/n³ = 17/136

m³/18³ = 17/136

m³/18³ = 17/136

(m/18)³ = 1/8

(m/18)³ = (1/2)³

m/18 = 1/2

m=9 cm

Therefore, the corresponding height of similar rectangular prism m is 9 centimeter.

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The total time taken for the entire journey is 2.8 hours.

To calculate the total time taken for the entire journey, we can use the formula:

Time = Distance / Speed

For the first part of the journey, the car travels a distance of 112 km at an average speed of 70 km/h. Using the formula, the time taken for this part is:

Time1 = 112 km / 70 km/h = 1.6 hours

For the second part of the journey, the car travels a further distance of 60 km at an average speed of 50 km/h. Again, using the formula, the time taken for this part is:

Time2 = 60 km / 50 km/h = 1.2 hours

To find the total time for the entire journey, we sum up the times for both parts:

Total Time = Time1 + Time2 = 1.6 hours + 1.2 hours = 2.8 hours

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