solve for t


-15-t ≤ 4

Answer:

B

Step-by-step explanation:

Answer:

i think the answer is b

Step-by-step explanation:

A propane tank with a volume of 43.7 ft³ can produce 107,639 BTUs of heat energy when burned.

Propane is a commonly used fuel for heating and cooking. It has a heat energy content of 2,470 BTUs per cubic foot (ft³). To calculate how much energy a propane tank with a volume of 43.7 ft³ can produce, we need to use a simple formula:

Energy = Volume x Energy Content

Plugging in the values we have:

Energy = 43.7 ft³ x 2,470 BTU/ft³

Energy = 107,639 BTUs

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The missing information in the proof is a which is option A.

Given d is the mid point of ab and e is the mid point of ac. Coordinates are point a (2b,2c), point e (ab, c), point c (2a, 0),point b (0,0), point d (b, c).

We have to find the missing proof in the solution.

To find the missing figure we have to just find the distance between point d and point e.

Distance formula for determining the distance between two points on a coordinate plane is given as :

d=\(\sqrt{(y_{2} -y_{1} )^{2} +(x_{2} -x_{1} )^{2} }\)

where (\(x_{1} ,y_{1} ) (x_{2} ,y_{2} )\) are the coordinates at the end of line.

DE=\(\sqrt{(a+b-b)^{2} +(c-c)^{2} }\)

Simplifying this we get:

DE=\(\sqrt{(a^{2} +0^{2} }\)

=\(\sqrt{a^{2} }\)

=a

Hence the missing proof is a which is the distance or length of DE..

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If "3 marks" are awarded for each "correct-answer" and "-1 marks" for each "incorrect-answer", then the total score of Varun in quiz is 47.

Out of the 25 questions in the quiz, Varun attempted all of them, which means he has answered 25 questions in total.

Out of the 25 questions, Varun answered only 18 correctly, which means he answered 7 questions incorrectly.

Therefore, the total score for his correct answers would be : 18 × 3;

⇒ 54 marks,

The total score for his incorrect answers would be : 7 × (-1) = -7;

Varun did not leave any question "un-attempted", so he did not gain or lose any marks for those questions.

Varun's total score in the quiz would be : (Score for correct answers) + (Score for incorrect answers)

⇒ Total Score = 54 + (-7) = 47 marks,

Therefore, Varun's total score in quiz is 47 marks.

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The given question is incomplete, the complete question is

In a Mathematics quiz, the total number of questions are 25. According to the marking scheme, 3 marks are given for every correct answer and -1 marks for every incorrect answer, and 0 for questions not attempted.

Varun attempts all questions but only 18 of his answers are correct. What is his total score in the quiz?

Answer:

\(4n-n^2\)

Step-by-step explanation:

I use 'n' as the unknown value, but you can use any letter you want as the variable.

The product of four and a number would be represented by '4 * n'. The ideal way to write this would be '4n', even though '4 * n' is also correct in value.

The square of the number would be n². Squaring a number is multiplying a number by itself.

The phrase 'difference between...' means subtraction.

Putting it together:

"The difference between the product of 4 and a number and the square of the number" would be:

\(4n-n^2\)

Hope this helps.

Answer:

To find (f + g)(x), we need to add the two functions f(x) and g(x), and then evaluate the sum at x.

So, we have:

(f + g)(x) = f(x) + g(x)

Substituting the given functions, we get:

(f + g)(x) = (2x + 3) + (3x + 2)

Simplifying the expression, we get:

(f + g)(x) = 5x + 5

Therefore, (f + g)(x) is equal to 5x + 5.

D box plot correctly represents the data

A box plot or boxplot is a technique for illustratively displaying the localization, dispersion, and skewness groups of numerical data through their quartiles.

Using a five-number summary (the minimum, first quartile (Q1), median, third quartile (Q3), and "maximum"), a boxplot is a common method of visualizing data distribution.

The median value for the provided data will be the sixth data point's value, or 3.

The median of the data's lower half is now the first quartile. The third data point's value of 1 will therefore be in the lower quartile.

The median of the data's upper half is now referred to as the upper or third quartile. This means that the value of the ninth data point, which is 6, will represent the upper quartile.

Thus, box-plot D effectively displays the data from above.

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Answer:

The answer is D.

Edg 2023.

The solution of the given question is as follows :A club is choosing 2 members to serve on a committee.

Based on chance alone, the probability that one woman and one man will be chosen to be on the committee are as follows :Probability of selecting 1 woman out of 3 = 3C1 = 3Probability of selecting 1 man out of 1 = 1C1 = 1Probability of selecting 2 members from 4 = 4C2 = 6Therefore, the total number of ways that 2 members can be selected from 4 are: 3 × 1 × 6 = 18There are 18 different possible ways that a committee can be formed consisting of one woman and one man out of 3 women and 1 man.

Thus, the probability that one woman and one man will be chosen to be on the committee is: 3 × 1/6 = 1/2.00 = 0.5000 the probability that one woman and one man will be chosen to be on the committee is 0.5000 or 50% or 1/2 (in fraction) or 0.5 (in decimal).Hence, the solution of the given question is as follows: Probability that one woman and one man will be chosen to be on the committee is 0.5000.

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The cost of r rides is given by C(r) = $30 + $3*r, and the cost of 10 rides is $60.

Here we know that the admission price is $30, plus $3 for every game. Then if he goes on r rides, the cost function is:

C(r) = $30 + $3*r

Now, if he goes to 10 rides, then we need to evaluate the above linear function in r = 10, this will give:

C(10) = $30 + $3*10 = $60

The cost of 10 rides is $60.

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Answer:

C

Step-by-step explanation:

1/18 x³y + 7/18 xy²

1/18 xy (x² + 7y)

(a) The factored form of the trinomial is (2x + 3)(x - 10).

(b) The roots of the equation are x = -3/2 and x = 10.

(c) The roots of the equation correspond to the values of x that make each factor of the trinomial equal to zero.

(a) To find the factored form of the trinomial, we observe that the coefficients of the terms form the pattern 2, 3, 13, 30, 0. Looking at the last two coefficients, we can deduce that the trinomial can be factored as (2x + 3)(x - 10).

(b) To find the roots of the equation, we set the trinomial equal to zero:

(2x + 3)(x - 10) = 0

This equation will be true if either (2x + 3) = 0 or (x - 10) = 0. Solving these equations gives us x = -3/2 and x = 10 as the roots of the equation.

(c) The roots of the equation correspond to the values of x that make each factor of the trinomial equal to zero. When (2x + 3) = 0, x = -3/2, and when (x - 10) = 0, x = 10. These values of x are the points where the trinomial crosses the x-axis, indicating the solutions to the equation. In other words, the roots of the equation are directly related to the factors of the trinomial, as they represent the x-values that make each factor equal to zero.

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The area needed to cover is 89.6 square feet.

From the question, we have the following parameters that can be used in our computation:

Area = 256

Area covered = 65%

The area of the floor that Vinnie has already covered is calculated as

Covered = 256 x 65%

Evaluate

Covered = 166.4 square feet.

The area that he still needs to cover is:

Remaining = 256 - 166.4

Remaining  = 89.6 square feet.

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The correct statements are:

Check all that applies:

A The integer −21 represents the sale of 21 books.

True

B After Monday's sales, 26 copies are available.

False

Saturday = 45 - 21

= 24 books available

Monday = 25 - 14

= 11 books available

Total books available = 24 + 11

= 35 copies available

C The integer 25 represents the new shipment.

True

D After Monday's sales, 35 copies are available.

True

E The integer 14 represents the sale of 14 books.

False

Therefore, option A, C and D are the correct statements.

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Answer:  The difference in temperature is 45.9F.

Answer:

n = number of nickels = 7

d = number of dimes = 10

p = number of pennies = 20

Step-by-step explanation:

Let

n = number of nickels

d = number of dimes

p = number of pennies.

n + d + p = 37

0.05n + 0.10d + 0.01p = 1.55

p = 2d

Substitute p = 2d into the equation

n + d + 2d = 37

0.05n + 0.10d + 0.01(2d) = 1.55

n + 3d = 37

0.05n + 0.10d + 0.02d = 1.55

n + 3d = 37 (1)

0.05n + 0.12d = 1.55 (2)

Multiply (1) by 0.05

0.05n + 0.15d = 1.85

0.05n + 0.12p = 1.55

Subtract

0.15d - 0.12d = 1.85 - 1.55

0.03d = 0.3

d = 0.3/0.03

= 10

d = 10

p = 2d

= 2(10)

p = 20

n + d + p = 37

n + 10 + 20 = 37

n + 30 = 37

n = 37 - 30

n = 7

n = number of nickels = 7

d = number of dimes = 10

p = number of pennies = 20

Answer:

60

Step-by-step explanation

Answer:

$60

Step-by-step explanation:

3000 / 50 =60

You would need to buy 4 packs of burgers to have an equal number of burgers and buns for your BBQ.

To have an equal number of burgers and buns for your BBQ, you need to find the least common multiple (LCM) of the pack sizes for burgers and buns, which are 6 and 8, respectively.

The LCM of 6 and 8 is 24. This means that you would need a total of 24 burgers and 24 buns to have an equal number of each.

Since each pack of burgers contains 6 burgers, the number of packs of burgers you would need to buy is:

24 burgers / 6 burgers per pack = 4 packs of burgers

Therefore, you would need to buy 4 packs of burgers to have an equal number of burgers and buns for your BBQ.

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The probability that more than 72% but less than 81% of Canadians shop online in a simple random sample of 500 Canadians is 0.6368.

To calculate this probability, we can use the binomial distribution. The binomial distribution is a probability distribution that describes the number of successes in a fixed number of trials, where each trial has only two possible outcomes, a success or a failure.

In this case, the number of trials is 500, and the probability of success is 0.76, which is the proportion of Canadians who are reported to shop online. The probability of failure is 0.24.

The binomial distribution can be used to calculate the probability of any number of successes in 500 trials, from 0 to 500. The probability that more than 72% but less than 81% of Canadians shop online is the probability that between 360 and 405 Canadians in the sample shop online.

This probability can be calculated using the following formula:

\(P(x \geq 360 \text{ and } x \leq 405) = \sum_{i=360}^{405} \binom{500}{i} (0.76)^i (0.24)^{500-i} = 0.6368\)

The required condition for using the binomial distribution is that the trials must be independent. In this case, the trials are independent because the probability of a Canadian shopping online does not depend on whether or not another Canadian shops online.

Therefore, the probability that more than 72% but less than 81% of Canadians shop online in a simple random sample of 500 Canadians is 0.6368.

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The phase change line, also known as the phase boundary or phase transition line, is a line on a graph that represents a change in conditions for a substance. This line shows the temperature and pressure conditions at which a substance will change from one phase to another, such as from a solid to a liquid or from a liquid to a gas.

The phase change line is represented on a graph by a diagonal line that separates two regions where the substance is in different phases. This line usually slopes upwards from left to right, indicating that higher temperatures and pressures are needed to change the substance from one phase to another.

The phase change line is an important concept in thermodynamics and is used to understand the behavior of substances under different conditions. For example, the phase change line for water shows that at normal atmospheric pressure, water will freeze at 0°C and boil at 100°C. However, at higher pressures, the freezing and boiling points will change, and water may exist in different phases, such as a supercritical fluid.

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The mean waiting time for 40 patients is 44.10 minutes. The median waiting time is 43.5 minutes. The mode waiting time is 42 minutes.

The mean waiting time for these 40 patients is calculated by adding up all the waiting times and dividing by the number of patients, which gives:

(mean) = (46+49+40+44+45+45+38+51+45+42+46+41+41+48+42+49+49+40+43+42+41+43+42+41+55+43+42+40+42+40+49+43+44+45+61+37+49+40+42+43+43+42+41+41+55+43+42+40+42+40+49+43+44+45+61+37+43+40+37+39)/40 = 44.10

Therefore, the mean waiting time is 44.10 minutes.

To find the median waiting time, we first need to order the waiting times from lowest to highest:

37, 37, 38, 39, 40, 40, 40, 40, 41, 41, 41, 42, 42, 42, 42, 42, 43, 43, 43, 43, 44, 44, 45, 45, 45, 46, 46, 48, 49, 49, 49, 49, 51, 55, 55, 61, 61

We can see that there are 40 waiting times in this sample, which is an even number. The median is the average of the two middle values, which are 43 and 44. Therefore, the median waiting time is:

(median) = (43+44)/2 = 43.5

The median waiting time is 43.5 minutes.

The mode is the most common value in the data set. In this case, we can see that the waiting time of 42 minutes appears most frequently in the data set, occurring 6 times. Therefore, the mode waiting time is:

(mode) = 42

The mode waiting time is 42 minutes.

The first quartile (Q1) is the value below which 25% of the waiting times fall, and the third quartile (Q3) is the value below which 75% of the waiting times fall. To find these values, we first need to order the waiting times from lowest to highest (as we did in part b):

37, 37, 38, 39, 40, 40, 40, 40, 41, 41, 41, 42, 42, 42, 42, 42, 43, 43, 43, 43, 44, 44, 45, 45, 45, 46, 46, 48, 49, 49, 49, 49, 51, 55, 55, 61, 61

There are 40 waiting times in the data set, so to find the first quartile, we need to find the value below which 25% of the waiting times fall. This means we need to find the waiting time that is at the 25th percentile. We can do this by finding the index of the waiting time that is at the 25th percentile:

25th percentile = (25/100) * 40 = 10

This means that the waiting time at the 10th index in the ordered list is the value at the first quartile. In this case, the waiting time at the 10th index is 41 minutes.

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____ The given question is incorrect, the complete question is given below:

There is a severe shortage of critical care doctors and nurses to provide intensive care services in hospitals. To offset this shortage, many hospitals, such as Emory Hospital in Atlanta, are using electronic intensive care units (eICUS) to help provide this care to patients (Emory University News Center). eICUs use electronic monitoring tools and two-way communication through video and audio so that a centralized staff of specially trained doctors and nurses - who can be located as far away as Australia - can provide critical care services to patients located in remote hospitals without fully staffed ICUs. One of the most important metrics tracked by these elcus is the time that a patient must wait for the first video interaction between the patient and the eICU staff. Consider the following sample of 40 patient waiting times until their first video interaction with the eſcu staff. Click on the datafile logo to reference the data. DATA fill Wait Time (minutes) 46 49 40 44 45 45 38 51 45 42 46 41 41 48 42 49 49 40 43 42 41 43 42 41 55 43 42 40 42 40 49 43 44 45 61 37 49 40 42 43 43 42 41 41 55 43 42 40 42 40 49 43 44 45 61 37 43 40 37 39 a. Compute the mean waiting time for these 40 patients (to 2 decimals). minutes b. Compute the median waiting time (to 2 decimals). minutes c. Compute the mode (to 2 decimal). minutes d. Compute the first and third quartiles (to 2 decimals). minutes First Quartile: Third Quartile: minutes.

A. Yes, U = Z7 is a cyclic group under addition. A group is considered cyclic if there exists an element, called a generator, such that every other element of the group can be obtained by repeatedly applying the group operation to the generator. In the case of U = Z7,

B. U = GL2(R) is not a cyclic group under multiplication.

a. U = Z7 (under addition):

Yes, U = Z7 is a cyclic group under addition. A group is considered cyclic if there exists an element, called a generator, such that every other element of the group can be obtained by repeatedly applying the group operation to the generator. In the case of U = Z7, the generator is usually chosen as the number 1. By adding 1 to itself repeatedly, we can generate all the elements of U = Z7, which are {0, 1, 2, 3, 4, 5, 6}. Therefore, U = Z7 is cyclic.

b. U = GL2(R) (under multiplication):

No, U = GL2(R) is not a cyclic group under multiplication. The general linear group GL2(R) consists of invertible 2x2 matrices with real entries. For a group to be cyclic, there must exist an element that can generate all other elements of the group by repeated multiplication. However, in GL2(R), there is no single matrix that can generate all other matrices through multiplication.

To prove that GL2(R) is not cyclic, we can show that there is no single matrix that, when multiplied repeatedly, can produce all other matrices in the group. Since the matrices in GL2(R) have various structures and properties, it is not possible to find a single matrix that can generate them all.

Therefore, U = GL2(R) is not a cyclic group under multiplication.

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Incomplete Question:

The content of the pie chart is as follows:

Hamsters  = 9% ; Snakes  = 10% ; Cats  = 23%

Birds  = 21% ;  Dogs  = 26% ;  Fish  = 11%

Answer:

The number of citizens who chose cat or fish is 47,600

Step-by-step explanation:

Given

Number of citizens = 140,000

Required

Determine the number of those that chose fish or cats

First, we need to calculate the percentage of those whose pets are either cats or fish

\(Percentage = Cat + Fish\)

Substitute 23% for cat and 11% for fish

\(Percentage = 23\% + 11\%\)

\(Percentage = 34\%\)

Next, is to multiply the calculated percentage by the number of citizens

\(Cat\ or\ Fish = Percentage * Number\ of\ Citizens\)

\(Cat\ or\ Fish = 34\% * 140000\)

\(Cat\ or\ fish = 47600\)

Hence, the number of citizens who chose cat or fish is 47,600

the number of citizens who chose cat or fish is 47,600

= Number of citizens × total percentage

\(= 140,000 \times (23\% + 11\%)\\\\= 140,000 \times 34\%\)

= 47,600

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Answer:

Step-by-step explanation:

(8-8)/(-14+4) = 0/-10 = 0 is the slope

The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.

When charged electrons (current) are forced through a conducting loop by the weight of an electrical raceway power source, they can perform tasks like lighting a lamp. In a nutshell, voltage equals pressure and is expressed in volts (V).

Here,

The voltage generated by the uv spectrophotometer is inversely proportionate to the amount of light present and linearly proportional to the sample's absorbance.

This indicates that as the sample's absorbance rises, so does the energy the colorimeter generates.

Similar to this, the voltage generated by the colorimeter rises as light strength falls.

The Beer-Lambert Law, which says that a sample's absorbance is directly proportional to its concentration of the absorbing substance and its path length and inversely proportional to incident light intensity, describes this connection.

The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.

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Answer:

True

Step-by-step explanation:

an obtuse triangle is a big one, an acute triangle is a small one. They are both triangles, but they are not similar besides that

Answer:

True

Step-by-step explanation:

Because if one acute is obtuse the other two will be obtuse

Based on the evidence from the given sample, we have sufficient evidence to refute the claim that the mean is 40 with a standard deviation of 15.

To determine whether the evidence refutes the claim that the mean is 40 with a standard deviation of 15, we can perform a hypothesis test using the given sample mean and the claimed mean.

Let's set up the null and alternative hypotheses:

Null hypothesis (H0): The mean is equal to 40 (µ = 40).

Alternative hypothesis (HA): The mean is not equal to 40 (µ ≠ 40).

We can use a t-test to compare the sample mean to the claimed mean. Given that we have a sample size of 100, we can assume the sample mean follows an approximately normal distribution due to the Central Limit Theorem.

The test statistic for this scenario is the t-score, which measures the difference between the sample mean and the claimed mean in terms of standard errors.

The formula for the t-score is:

t = (sample mean - claimed mean) / (sample standard deviation / sqrt(sample size))

Using the given information, we can calculate the t-score:

t = (35.8 - 40) / (15 / sqrt(100))

t = -4.2 / (15 / 10)

t = -4.2 / 1.5

t = -2.8

Next, we need to compare the t-score with the critical value at a given significance level (e.g., α = 0.05) and the degrees of freedom (df = n - 1 = 100 - 1 = 99).

Using a t-table or statistical software, we can find the critical values for a two-tailed test with a significance level of 0.05 and 99 degrees of freedom. The critical t-values are approximately -1.984 and 1.984.

Since the calculated t-score (-2.8) is outside the range of the critical values (-1.984 to 1.984), we reject the null hypothesis.

Therefore, based on the evidence from the given sample, we have sufficient evidence to refute the claim that the mean is 40 with a standard deviation of 15.

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Answer:

√130 units

Step-by-step explanation:

(8,7) ; (1, -2)

Distance = \(\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\)

               \(= \sqrt{(1-8)^{2}+(-2-7)^{2}}\\\\= \sqrt{(-7)^{2}+(-9)^{2}}\\\\= \sqrt{49 + 81}\\\\= \sqrt{130}\)

Answer:

The weight of the baby is 25 lbs.

The weight of the dog is 10 lbs

Total weight = 170 lbs

Your weight = 135 lbs

Step-by-step explanation:

The total weight is 170 lbs which is shown in the picture.

Suppose the weight of the baby is x lbs . The weight of the dog is 60 % less than x

so x -  0.6 x lbs = 0.4 x is the weight of the dog

And suppose your weight is y lbs.

x+ 0.4x  + y= 170

1.4x+ y= 170

y = 170-1.4x ------1

The sum of your weight , the baby and dog is 100 lbs more than the two combined.

y- 100 = 1.4x

 x +0.4x + 100= y

1.4x+100= y----2

Putting 1 in 2

1.4x+100=170-1.4x

1.4x+ 1.4x = 170- 100

2.8x= 70

x= 25lbs

The weight of the baby is 25 lbs.

The weight of the dog is 4.4x= 0.4 (25)= 10 lbs

Total weight = 170 lbs

Your weight = total weight less baby's weight less dog's weight

                    = 170- 25- 10= 135 lbs

A fraction can be expressed as the product of a whole number and a unit fraction, for example:

or in terms of the sum of lesser fractions keeping the denominator of 10: