Stephanie attempted to solve the equation 5−3k=2(k−5). Her work is shown below. Step 1: 5−3k=2k−10 Step 2: 5=5k−10 Step 3: −5=5k Step 4: −1=k Based on the information provided, which statement justifies why her solution is incorrect? She did not distribute correctly in Step 1. She did not add to/subtract from both sides of the equation equally in Step 2. She did not add to/subtract from both sides of the equation equally in Step 3. She did not multiply/divide both sides of the equation equally in Step 4.

Answer: To find the number of decimal strings of length at least 4 and at most 7, we can count the number of strings of length 4, 5, 6, and 7 and add them together.

Number of strings of length 4: There are 10 possible digits for each of the 4 positions, so there are 10^4 = 10,000 possible strings.

Number of strings of length 5: There are 10 possible digits for each of the 5 positions, so there are 10^5 = 100,000 possible strings.

Number of strings of length 6: There are 10 possible digits for each of the 6 positions, so there are 10^6 = 1,000,000 possible strings.

Number of strings of length 7: There are 10 possible digits for each of the 7 positions, so there are 10^7 = 10,000,000 possible strings.

Therefore, the total number of decimal strings of length at least 4 and at most 7 is:

10,000 + 100,000 + 1,000,000 + 10,000,000 = 11,110,000.

So there are 11,110,000 decimal strings with length at least 4 and at most 7.

To answer your question, we need to first understand what a decimal string is.

A decimal string is a sequence of digits, 0 through 9.

So, for example, 123 and 987654 are both decimal strings.

Now, we need to find how many decimal strings there are with length at least 4 and at most 7. This means that we need to count all the decimal strings that have a length of 4, 5, 6, or 7.

To find the number of decimal strings with length 4, there are 10 options for the first digit, 10 options for the second digit, 10 options for the third digit, and 10 options for the fourth digit. So, there are 10 x 10 x 10 x 10 = 10,000 decimal strings with length 4.

To find the number of decimal strings with length 5, there are also 10 options for each digit, so there are 10 x 10 x 10 x 10 x 10 = 100,000 decimal strings with length 5.

To find the number of decimal strings with length 6, there are again 10 options for each digit, so there are 10 x 10 x 10 x 10 x 10 x 10 = 1,000,000 decimal strings with length 6.

Finally, to find the number of decimal strings with length 7, there are 10 options for each digit, so there are 10 x 10 x 10 x 10 x 10 x 10 x 10 = 10,000,000 decimal strings with length 7.

So, to find the total number of decimal strings with length at least 4 and at most 7, we add up the number of decimal strings with each length:

10,000 + 100,000 + 1,000,000 + 10,000,000 = 11,110,000

Therefore, there are 11,110,000 decimal strings with length at least 4 and at most 7.

To Know more about decimal string refer here

https://brainly.com/question/31841719#

#SPJ11

Answer:

x < 5/2

Step-by-step explanation:

The triangle with the lengths 2m, 5m and 6m is not a right triangle, as the lengths do not form a Pythagorean triple.

The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.

The sum of the two smaller sides squared is given as follows:

2² + 5² = 4 + 25 = 29.

The square of the largest side is of:

6² = 36.

As 29 is different of 36, the Pythagorean Theorem is not respected, and thus the triangle is not a right triangle.

More can be learned about the Pythagorean Theorem at brainly.com/question/30203256

#SPJ1

Answer

Sum of the first 13 terms = 8191

Explanation

The sum of terms in a geometric term is given as

where

a = first term = 1

r = common ratio = ratio of consecutive terms = (Second term)/(First term) = (2/1) = 2

n = number of terms = 13

Hope this Helps!!!

Answer:

the answer is

13 cm:y

5 cm:x

2 cm:z

Answer:

I think the third option

Step-by-step explanation:

Have a nice day! Hope this helps! Owa Owa!!!!

1/8 2/8 3/8 4/8 5/8 6/8 7/8 8/8

1/2 1 1/2 1 1/2 1. 1/2 1

4Minutes

The remaining 50.4% of the variance has not been accounted for, and it could be due to other factors that are not captured by the two variables being studied.

If the correlation between two variables is .496, it means that 49.6% of the variance has been accounted for. This is because the correlation coefficient measures the strength and direction of the linear relationship between the two variables, and it ranges from -1 to 1.

A correlation of 1 indicates a perfect positive linear relationship, while a correlation of -1 indicates a perfect negative linear relationship. In this case, a correlation of .496 indicates a moderate positive linear relationship.

Learn more about correlation coefficient here:

brainly.com/question/29704223

#SPJ11

a. The equation to represent the situation is y = -12x + 120, where x is the number of movies and y is the amount of money remaining on the gift card.

Money is a medium of exchange that is widely accepted as a way to pay for goods and services or to settle debts. Money also serves as a store of value, providing a way for people to save for the future. Money is generally created through government-backed fiat currencies, such as the U.S. dollar, which are issued and regulated by central banks. Money can also be created in the form of crypto-currencies, such as Bitcoin, which are not issued by any single government or central bank. Money is essential for economic growth and stability, as it allows for efficient exchanges of goods and services. Money can also be a source of financial security, providing people with a way to manage their finances and plan for the future.

b. The slope of -12 indicates that for every movie that Elyse sees, she will spend $12 from her gift card. The y-intercept of 120 indicates that if Elyse has not seen any movies, she will have $120 remaining on her gift card.

To learn more about money
https://brainly.com/question/30279568
#SPJ1

The situation is,

a) The line equation is \(y = -3x - 6\)

b) The line's y-intercept is -6, which indicates that when the amount of movies x = 0 , the amount on gift y = -6

c) The slope of the line is -3, indicating that as the number of movies x increases, the rate of change of the amount on the gift is declining.

a). The equation provides the line's slope.

Slope,

\(m=\frac{(y_2-y_1)}{(x_2-x_1)}\)

Changing the numbers indicated in the slope equation,

Slope,

\(m=\frac{(6-12)}{(4-2)}\)

Slope m = -6/2

Slope m = -3

The slope is -3

The equation of the line is,

\(y - y_1 = m ( x - x_1 )\)

Substitute the given values in the equation,

\(y - 12 = -3 ( x - 2 )\)

Simplify the equation,

\(y - 12 = -3x + 6\)

Adding 12 on both sides

\(y = -3x - 6\)

The equation of line is \(y = -3x - 6\)

b). The y-intercept of the equation of line \(y = -3x - 6\) is \(-6\), when \(x=0\)

c). The slope of the line \(y = -3x - 6\) is \(m = -3\) and the value is decreasing

To know more about Slope, visit:

https://brainly.com/question/16949303

#SPJ1

The completr question and graph attached below,

c. What is the slope, and what does it mean in the context of the situation?

Answer:

1.76 x 10⁴ gallons

Step-by-step explanation:

8.2 x 10³ + 9.4 x 10³ = 17.6 x 10³

Although correct 17.6 x 10³ is not in scientific notation

which is

1.76 x 10⁴ gallons

Answer:

D.

Step-by-step explanation:

Answer:

2500+ 50123=52623

Step-by-step explanation:

Answer:

\(d = 441\)

Step-by-step explanation:

We know that \(d = 49t^2\).

We also know that it takes 3 seconds to reach the bottom of the well, meaning that if we substituted \(t = 3s\) in the formula, we'd get the height of the well.

\(d = 49 \times 3^2 \to 49 \times 9 \to 441\)

The main answer is that the infinite number of types of matter arises from the unique combinations of elements and their arrangements in terms of composition and geometry.

While the number of elements is limited, their combinations and arrangements allow for an infinite number of types of matter. Elements can combine in different ratios and configurations, forming various compounds and structures with distinct properties.

Additionally, the arrangement of atoms within a molecule or the spatial arrangement of molecules within a material can create different types of matter. These factors, along with the possibility of isotopes and different states of matter, contribute to the vast diversity and infinite types of matter despite the limited number of elements.

Learn more about geometry here: brainly.com/question/31408211

#SPJ11

1.75, 1.5, 1.25, 1, 0.75, 0.5, 0.25, 0

(Idk if 0 would be considered to be positive but the rest are for sure.)

To find these just subtract 0.25 each time until you hit a negative number.

The answer choice which represents the quotient of the expression given is; 1/(t+4)².

It follows from the task content that the quotient which is to be evaluated is;

(t+3)/t+4) ÷ (t²+7t +12)

The quotient can therefore be evaluated as follows;

= (t+3)/t+4) ÷ (t+3)(t+4)

= (t+3)/t+4) × 1/(t+3)(t+4)

= 1/(t+4) × 1/(t+4)

= 1/(t+4)².

Read more on factorisation;

https://brainly.com/question/52959

#SPJ1

Answer:

c

Step-by-step explanation:

c

The ratio of false positives to true positives is 8 over 54.

According to the Question

Results of a strep throat test performed on a sample of 400 ill people are displayed in the table's data. People who have the flu and those who don't are separated into two categories. The patients are then separated into groups based on whether they tested positive or negative for strep throat within each of these categories.

We must first define what a true positive and a false positive are in order to calculate the ratio of false positives to true positives. A patient who tests positive for strep throat but does not actually have the illness is said to have a false positive. The 8% of patients in this instance who tested positive for strep throat but did not have the flu would fall under that category. A patient who tests positive for strep throat and truly has the illness is said to have a true positive. That would be the 54% of patients who tested positive for both the flu and strep throat in this instance.

We divide the percentage of false positives (8%) by the percentage of true positives (54%), which gives us the ratio of false positives to true positives.

As a result, the ratio becomes 8% / 54%, or 8/54.

It's critical to remember that this ratio is dependent on the sample and test performed and may not be the same for different populations or testing methodologies.

To know more about proportion and ratio on brainly :

brainly.com/question/26974513

#SPJ4

These six different iterated integrals represent the same volume integral but with different orders of integration.

To express the integral ∭ef(x,y,z)dv as an iterated integral in six different ways, where e is the solid bounded by

z=0, x=0, z=y-4x,

and y=12, we first determine the limits of integration for each variable. The solid is bounded by the following planes:

z = 0 (lower limit for z)
x = 0 (lower limit for x)
z = y - 4x (upper limit for z)
y = 12 (upper limit for y)

Now, we can write the iterated integral in six different orders of integration:

dx dy dz:
∭ef(x,y,z)dv = ∫(0 to 12)∫(0 to y/4)∫(0 to y-4x) ef(x,y,z) dz dx dy

dx dz dy:
∭ef(x,y,z)dv = ∫(0 to 12)∫(0 to y-4x)∫(0 to y/4) ef(x,y,z) dx dz dy

dy dx dz:
∭ef(x,y,z)dv = ∫(0 to 12)∫(0 to y/4)∫(0 to y-4x) ef(x,y,z) dz dy dx

dy dz dx:
∭ef(x,y,z)dv = ∫(0 to 12)∫(0 to y-4x)∫(0 to y/4) ef(x,y,z) dy dz dx

dz dx dy:
∭ef(x,y,z)dv = ∫(0 to 12)∫(0 to y/4)∫(0 to y-4x) ef(x,y,z) dx dy dz

dz dy dx:
∭ef(x,y,z)dv = ∫(0 to 12)∫(0 to y-4x)∫(0 to y/4) ef(x,y,z) dy dx dz

These six different iterated integrals represent the same volume integral but with different orders of integration.

Learn more about integral

brainly.com/question/18125359

#SPJ11

Answer:

Step-by-step explanation:

B

Answer:

y=5/2x

Step-by-step explanation:

the y intercept is (0,0) so it isn't included in the equation. now we know the middle solution isn't correct. the points we use to find slope are (-2,-5) and (2,5) which ends up being 5/2.

Answer:

250

Step-by-step explanation:

We can approximate that the scientists counted \(\frac{18}{30}=\frac{3}{5}\) of the elk.

So, the best estimate of the elk population is \(150(5/3)=250\).

Answer:1,250

Step-by-step explanation:

To find the percentage, we can use the following formula:

Percentage = (Part / Whole) * 100

So, $131,701.32 is approximately 16.67% of $790,207.91.

In this case, the part is $131,701.32 and the whole is $790,207.91.

Percentage = ($131,701.32 / $790,207.91) * 100

Calculating the value:

Percentage ≈ 0.1667 * 100

Percentage ≈ 16.67%

Therefore, $131,701.32 is approximately 16.67% of $790,207.91.

Alternatively, we can calculate the percentage by dividing the part by the whole and multiplying by 100:

Percentage = ($131,701.32 / $790,207.91) * 100 ≈ 0.1667 * 100 ≈ 16.67%

So, $131,701.32 is approximately 16.67% of $790,207.91.

If you have any further questions, feel free to ask!

Learn more about Percentage here

https://brainly.com/question/24877689

#SPJ11

I have no idea whether those numbers are correct, and I'm not gonna bother looking them up.

But you gave us a speed and a distance, and you asked for a time.

We can just go ahead and use the formula:  Time = (distance) / (speed) .

IF your numbers are true, then

Time = (distance) / (speed)

Time = (3.55 x 10⁹ mi) / (1.25 x 10⁷ mi/min)

Time =  (3.55 x 10⁹ / 1.25 x 10⁷) minutes

Time =  2.84 x 10² minutes

Time = 284 minutes

Time = 4 hours 44 minutes

Therefore, in either partial derivatives, we have u = 0 or v = 0.

The given information implies that two vectors u and v satisfy:

u * v = 0, where * denotes the dot product between vectors.

u X v = 0, where X denotes the cross product between vectors.

From the first equation, we know that the angle between u and v is either 90 degrees or 270 degrees. That is, u and v are orthogonal (perpendicular) to each other.

From the second equation, we know that the magnitude of the cross product u X v is equal to the product of the magnitudes of u and v multiplied by the sine of the angle between them. Since u and v are orthogonal, the angle between them is either 90 degrees or 270 degrees, which means that the sine of the angle is either 1 or -1. Therefore, we have:

|u X v| = |u| * |v| * sin(θ)

= 0

Since the magnitudes of u and v are non-negative, it follows that sin(θ) must be zero. This can only happen if the angle between u and v is either 0 degrees (i.e., u and v are parallel) or 180 degrees (i.e., u and v are anti-parallel).

In the case where u and v are parallel, we have:

u * v = |u| * |v| * cos(θ)

= |u|²

= 0

This implies that |u| = 0, which means that u = 0.

In the case where u and v are anti-parallel, we have:

u * v = |u| * |v| * cos(θ)

= -|u|²

= 0

This again implies that |u| = 0, which means that u = 0.

To know more about partial derivatives,

https://brainly.com/question/21661447

#SPJ11

The triple integral ∫∫∫ex^2 y^2 dv in cylindrical coordinates evaluates to ∫ from 0 to 1, ∫ from 0 to 2π, and ∫ from 0 to (1-9r^2) e^r^2cos^2θsinr drdθdz.

In cylindrical coordinates, the given solid e is represented by the inequality 0 ≤ z ≤ 1-9r^2. Therefore, the limits of integration for z are 0 to 1-9r^2. The circular base of the solid is given by x^2 + y^2 ≤ 1/(9z), which can be rewritten as r^2 ≤ 1/(9z).

Thus, the limits of integration for r are 0 to √(1/(9z)). The angle θ ranges from 0 to 2π. Hence, the triple integral can be expressed as ∫ from 0 to 1, ∫ from 0 to 2π, and ∫ from 0 to √(1-9r^2) e^r^2cos^2θsinr drdθdz. Solving this integral yields the required answer.

For more questions like Integral click the link below:

https://brainly.com/question/18125359

#SPJ11

21.9912 square units, or 22 square units, make up the area of the darkened region.

A circular is a closed, two-dimensional object where every point in the planes is equally spaced from a central point. The line with reflection symmetry is formed by all lines that traverse the circle. Moreover, every angle has axis of symmetry around the centre.

A circle's circumference is equal to π times its diameter. Given that the outer circle's radius is 34.5575 units and π=3.1416, its diameter is

34.5575/3.1416=10.999968≅11 units.

This circle's diameter is 11-3=8 units, meaning that its radius is 4 units, and since the area of a circle is equal to πr², its area is

π×4²=16πi

The smallest circle has a diameter of 8-2=6 units, a radius of 3, and an area of

π×3²=9πi

Thus the area of the darkened area is 16π−9π=7π

or 7×3.1416=21.9912 square units

To know more about Circle Visit:

https://brainly.com/question/11833983

#SPJ1

Answer:

9x-y+9

Step-by-step explanation:

so what you do first is combine -14y and 13 y and you get -y

288π cm³

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

volume of sphere: 4/3 * π * radius³

⇒ 4/3 * π * (6)³

⇒ 4/3 * 216 * π

⇒ 288π