Which two students wrote equations to have no solution

Answer:

Step-by-step explanation:

T + 3 = 17 - 5

T + 3 = 12

T = 12 - 3

T = 9

Answer:

T = 9

Step-by-step explanation:

Lets evaluate

T + 3 = 17 - 5

T + 3 = 12

T = 12 - 3

T = 9

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Answer:

6/13

Step-by-step explanation:

6+7

13

so 6/13

Answer: 6/13

is the fraction

Carl swam 600 ft and Kenna swam 900 ft in 5 minutes. Let's assume that Carl's swimming speed is x ft/min. Since Kenna swims 1.5 times as fast as Carl, her swimming speed is 1.5x ft/min.

In 5 minutes, Carl swims a distance of 5x ft, and Kenna swims a distance of 5 * (1.5x) ft = 7.5x ft.

According to the given information, the total distance swum by both of them is 1500 ft. So, we can set up the equation:

5x + 7.5x = 1500

Combining like terms, we have:

12.5x = 1500

Dividing both sides of the equation by 12.5, we get:

x = 120

Therefore, Carl's swimming speed is 120 ft/min, and Kenna's swimming speed is 1.5 * 120 = 180 ft/min.

In 5 minutes, Carl swims a distance of 5 * 120 = 600 ft, and Kenna swims a distance of 5 * 180 = 900 ft.

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Answer:

5 x\(10^{5}\)

Step-by-step explanation:

if its scientific notation

Answer:

3m

Step-by-step explanation:

hope this helps :D

The mode of the sample can be larger, smaller or equal to the mode of the population, but must not be equal to the mean of the population or 500.

The mode of a sample is the value that occurs most often in the sample. The mode of a population is the value that occurs most often in the population. In a random sample, the mode of the sample can be larger, smaller or equal to the mode of the population. This is because the sample is a subset of the population and the values in the sample may not be the same as the values in the population.

The formula for calculating the mode of a sample is:

Mode = Number of times the most frequent value appears / Total number of values

For example, in a sample of 50 items from a population of 500, the mode of the sample could be equal to the mode of the population, if the most frequent value in the sample appears the same number of times as it does in the population. However, if the most frequent value in the sample appears more or less times than it does in the population, then the mode of the sample will not be equal to the mode of the population.

The mode of the sample must not be equal to the mean of the population, since the sample is a subset of the population and the values in the sample may not be the same as the values in the population. Furthermore, the mode of the sample must not be 500, since the sample is not the entire population.

The mode of the sample can be larger, smaller or equal to the mode of the population, but must not be equal to the mean of the population or 500.

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The rank-nullity theorem states that for any matrix A, the sum of the rank of A and the dimension of the null space of A is equal to the number of columns of A. The answer is (a) Dim Row A = 5, Dim Col A = 5.

In this case, we know that the null space of the 7 x 6 matrix is 5-dimensional. Therefore, we can use the rank-nullity theorem to solve for the rank of A.
Number of columns of A = 6
Dimension of null space of A = 5
Rank of A = Number of columns of A - Dimension of null space of A
Rank of A = 6 - 5
Rank of A = 1
So the answer is (a) Rank A = 1. To find the dimensions of the row space and column space, we can use the fact that the row space and column space have the same dimension as the rank of the matrix.
Dim Row A = Rank A = 1
Dim Col A = Rank A = 1

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Nathalie made 44 necklaces last month.

Let's solve the problem step by step:

Let's assume that Nathalie made x necklaces last month. According to the problem, Aaron made 14 fewer necklaces than Nathalie, so Aaron made (x - 14) necklaces.

The total number of necklaces made by Nathalie and Aaron is given as 74. So we can write the equation:

x + (x - 14) = 74

Combining like terms, we get:

2x - 14 = 74

Adding 14 to both sides of the equation:

2x = 74 + 14

2x = 88

Dividing both sides by 2:

x = 44

Therefore, Nathalie made 44 necklaces last month.

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The newspaper that charges less per line is Greenville Journal and the line of the advertisement must be 5 for the cost to be the same

We have:

Greenville Journal is represented by the equation

y = 2x + 20

For Daily times, the rate is

Rate = y2 - y1/x2 - x1

This gives

Rate = (30 - 27)/(5 - 4)

Evaluate

Rate = 3

For Greenville Journal's equation y = 2x + 20, the rate is

Rate = 2

This is so because the slope is 2

By comparison 2 is less than 3

Hence, the newspaper that charges less per line is Greenville Journal

The equation of Daily times is

y = m(x - x1) + y1

So, we have

y = 3(x - 4) + 27

Evaluate

y = 3x + 15

Substitute y = 3x + 15 in y = 2x + 20

3x + 15 = 2x + 20

Evaluate

x = 5

Hence, the line of the advertisement must be 5 for the cost to be the same

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Answer:

The common difference is 2.

Answer:

The common difference of the arithmetic sequence 14, 16, 18 is **2**.

In any arithmetic sequence, each term is equal to the previous term plus the common difference. So, the second term is equal to the first term plus the common difference. In this case, the second term, 16, is 2 more than the first term, 14. Therefore, the common difference is 2.

We can also find the common difference by subtracting any two consecutive terms in the sequence. For example, we can subtract the second term from the third term to get 18 - 16 = 2.

The common difference of an arithmetic sequence is always constant. This means that the difference between any two consecutive terms in the sequence will always be the same. In this case, the difference between any two consecutive terms is 2.

Step-by-step explanation:

Step-by-step explanation:

0.10

that is the answer

yep

Answer:

Her cake should be 495 grams

The slope for lot size is not different from 0.

We will let the slope of the size be β

So the hypothesis can be:  β = 0  (Null Hypothesis)  ,  β≠ 0 (Alternate Hypothesis)

If we consider a confidence level (the probability for which we can be confident that the null hypothesis is true) to be 95% (Probability = 0.95) then the level for which we are not confident that the null hypothesis is true will be (100 - 95)% = 5% (Probability = 0.05)

Thus, for this coefficient the P value is 0.5782.

As the p-value is more than the Probability for which we are not confident (0.05), so in this regard we can state then there is no such significance difference seen in this regard. Thus, we accept the null hypothesis here. This means that we can take the coefficient to be 0.

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If a lab class conducts a 1000 trial scattering probability experiment. nine marbles were used on a 47.20 cm wide board. The number of hits recorded were 615, the diameter of the marbles is approximately 4.1 cm.

Assuming that the experiment was conducted with the same conditions (e.g. speed, direction) for each trial, we can estimate the diameter of the marbles using the scattering probability and the size of the target area.

The scattering probability is the ratio of the number of hits to the total number of trials. In this case, the scattering probability is:

P = 615/1000 = 0.615

This means that, on average, 61.5% of the marbles that were aimed at the board hit one of the target marbles.

The target area is the area of the board divided by the number of targets. The area of the board is the product of its width and height, which we don't know. However, we can assume that the height of the board is much larger than the diameter of the marbles, so that the height does not significantly affect the scattering probability.

Therefore, we can estimate the target area by dividing the width of the board by the number of targets:

A = 47.20 cm / 9 = 5.2444 cm^2

The target area is the area of one target marble, assuming they are all the same size. The area of a circle is given by:

A = π (d/2)^2

where d is the diameter of the circle.

Solving for d, we get:

d = √(4A/π) = √(4 × 5.2444 cm^2 / π) ≈ 4.1 cm

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To prove that 3x ≤ y, assume the opposite, that is, 3x > y, rearrange the inequality substitute x < 2y and simplify, contradict the given condition that x < 2y, therefore, concluding that 3x ≤ y.

Start by assuming the opposite, that is, 3x > y.

From the given inequality,\(7xy \leq 3x^2 + 2y^2,\), we can rearrange to get:
\(7xy - 3x^2 \leq 2y^2\)

We can substitute \(x < 2y\) into this inequality:
\(7(2y)x - 3(2y)^2 \leq 2y^2\)

Simplifying, we get:
\(y(14x - 12y) \leq 0\)

Since y is a real number, this means that either y ≤ 0 or 14x - 12y ≤ 0.

If y ≤ 0, then 3x ≤ y is trivially true.

If 14x - 12y ≤ 0, then we can rearrange to get:
3x ≤ (12/14)y
3x ≤ (6/7)y
3x < y (since we assumed 3x > y)

But this contradicts the given condition that x < 2y, so our assumption that 3x > y must be false.

Therefore, we can conclude that 3x ≤ y.

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Answer: for 35x+21 the answer is 7(5+3)

for the second one, the answer is 4x+2x+2

the 3rd one the answer is 5(6-3x)

for the fouth one the answer is 40x+50

for the fifth one the answer is 4x+4x+3

Step-by-step explanation:

Answer:

Multiply both parts of the ratio by any number.It'll always be equivalent.Hope this helps!

Answer:

Because it is like a fraction 5/10 would mean 5 so hope that helped

Step-by-step explanation:

Answer:

The vertex of the right angle in each triangle are on points (-1, 1) and (4, -2), as can be seen in the figure

Step-by-step explanation:

thank me later

In a blueprint created using only similar parallelograms, the statement that must be true is that the parallelograms have proportional corresponding sides.

When we say that the parallelograms in the blueprint are "similar," it means that they have the same shape but possibly different sizes. Similar figures have proportional sides and equal corresponding angles.

Since Zach's blueprint consists of only similar parallelograms, it implies that all the parallelograms in the blueprint have the same shape and corresponding angles.

Proportional corresponding sides mean that the sides of the parallelograms are in a consistent ratio. This ratio remains the same across all the parallelograms in the blueprint.

While the parallelograms may not necessarily have congruent sides or angles (as they may differ in size), they will have corresponding sides that are proportional to each other.

Therefore, the statement that must be true about the parallelograms in the blueprint is that their corresponding sides are proportional.

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Zach created a blueprint using only similar parallelograms

Which statement about the parallelograms must be true?

The parallelograms have corresponding angles that are not congruent.

The parallelograms have proportional corresponding sides.

The parallelograms all have congruent sides and angles.

The parallelograms have corresponding sides that are congruent.

If the sample size in part c is larger, then the sample standard deviation will be a better estimate of the population

standard deviation.  If the sample size is smaller, then the sample standard deviation will be less reliable and may not

be a good estimate of the population standard deviation.

To describe the standard deviation in part c relative to the population standard deviation from which the samples were

generated, you can use the concept of the sample standard deviation.

The sample standard deviation is a measure of the variation in a set of data that is calculated by taking the square root

of the variance of the data set. The variance is the average of the squared differences from the mean. It is important to

note that the sample standard deviation is an estimate of the population standard deviation, which is the true measure

of the variability in the population. The larger the sample size, the closer the sample standard deviation will be to the

population standard deviation. Therefore, if the sample size in part c is larger, then the sample standard deviation will

be a better estimate of the population standard deviation.

Conversely, if the sample size is smaller, then the sample standard deviation will be less reliable and may not be a

good estimate of the population standard deviation.

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The equation for the path of the ball can be measured using a regression model calculator which produced the quadratic model ;

The table given :

Time, x : __0.5 ___ 1 ____ 1.5 ____ 2

Height, y _ 18 ____22 ___ 24 ____ 12

Using technology such as a quadratic regression calculator or excel ;

The quadratic regression model obtained is :

The height after, 1.7 seconds, x = 1.7 can be calculated thus :

Put x = 1.7 in the equation :

Therefore, the height of the baseball after 1.7 seconds will be 18.89 feets.

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Temperature less than 0° C is -9° C.

To subtract means to take away from a group or a number of things. When we subtract, the number of things in the group reduces or becomes less.

Given a temperature 9 less than 0,

0° C - 9 = -9° C

Hence, Temperature less than 0° C is -9° C.

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Answer:

x = -15 and y = -22

Step-by-step explanation:

Since there is 2 variables and 2 equations, we can plug the y in the first one to get: x = 8 + 2x + 7. 8 + 2x is the y. Solving this, we get -15 = x. Plugging this into the second equation, we get y = 8 - 30, so y = -22.

Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

Answer:

31 is the missing angle

Step-by-step explanation:

Right Angle = 90 degrees

90 - 59 = 31 degress

Answer:

5 1/3 > 5.3

Step-by-step explanation:

1/3 = 0.333... so 5 1/3 > 5.3 as 5 1/3 = 5.333...

The fraction 5 1/3 is greater than 5.3.

A number expressed as a quotient, in which a numerator is divided by a denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. A fraction represented with its quotient and remainder is a mixed fraction.

For the given situation,

The decimal number is 5.3.

The mixed fraction is 5 1/3.

First, convert this fraction to a decimal number to check which is greater.

\(5\frac{1}{3}=\frac{16}{3}\)

⇒ \(5.33\)

On comparing these two decimals 5.33 and 5.3, we can conclude that    5 1/3 is greater than 5.3.

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