Answer:
the answer would be 13x
Step-by-step explanation:
Hope this helps! You are not stupid! Hope you learn how to do it. :)
Newborn babies: A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights of
686
babies born in New York. The mean weight was
3412
grams with a standard deviation of
914
grams. Assume that birth weight data are approximately bell-shaped. Estimate the number of newborns who weighed between
2498
grams and
4326
grams. Round to the nearest whole number.
The number of newborns who weighed between
2498
grams and
4326
grams is
To estimate the number of newborns who weighed between 2498 grams and 4326 grams, we need to find the proportion of newborns within this weight range based on a normal distribution.
First, we calculate the z-scores for the lower and upper limits of the weight range:
Lower z-score =\((2498-3412)/914=-1.00\)
Upper z-score = \((4326-3412)/914 = 1.00\)
Next, we look up the corresponding probabilities associated with these z-scores in the standard normal distribution table. The probability for a z-score of -1.00 is approximately 0.1587, and the probability for a z-score of 1.00 is also approximately 0.1587.
To estimate the number of newborns within this weight range, we multiply the total number of newborns (686) by the proportion of newborns within the range:
Number of newborns = \(686*(0.1587+0.1587)=686*0.3174=217.82\)
Rounding to the nearest whole number, we estimate that approximately 218 newborns weighed between 2498 grams and 4326 grams.
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Choose the correct equation for the situation. Jane is 3 years older than Sam. If jane 12, how old is Sam
Order Least to Greatest
l-4l l12l l-0.99l l0.2
Every combination of v= ⎣
⎡
−3
3
0
⎦
⎤
and w= ⎣
⎡
−2
4
−2
⎦
⎤
has components that add to Find c: and d: so that cv+dw= ⎣
⎡
2
2
−4
⎦
⎤
. We can find c and d so that cv+dw= ⎣
⎡
2
2
4
⎦
⎤
.
The answer is the value of c is -8 and the value of d is 2.We know that every combination of v= ⎣⎡−3 3 0⎦⎤ and w= ⎣⎡−2 4 −2⎦⎤ has components that add to 0.
Now we can find c and d so that cv+dw= ⎣⎡2 2 −4⎦⎤ by solving for c and d.
Using matrix multiplication we can write this equation in the form of Ax = b as
⎡⎣−3 −2 2 2⎤⎦⎡⎣c d⎤⎦ = ⎡⎣2 4 −4⎤⎦
For solving the above equation we need to find the inverse of matrix A.
The inverse of matrix A is given as⎡⎣−3 −2 2 2⎤⎦−1= 110−12−12−1−11011−1−1−1−1
So the value of x can be found as⎡⎣c d⎤⎦ = ⎡⎣−8 2 −10⎤⎦
The values of c and d are -8 and 2 respectively.
Hence, the answer is the value of c is -8 and the value of d is 2.
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The probable reason that 37 runners broke the four-minute mile barrier within one year after Roger Bannister originally did was their:
The probable reason that 37 runners broke the four-minute mile barrier within one year after Roger Bannister originally did in 1954 was due to the psychological barrier being broken.
Before Bannister's accomplishment, many believed that running a mile under four minutes was impossible for a human being. However, once Bannister proved it could be done, it changed people's beliefs about what was possible and opened up new possibilities.
This change in belief and perception likely inspired other runners to push themselves harder and believe that they too could achieve this feat, leading to a rapid increase in the number of people breaking the four-minute mile barrier. Additionally, advances in training techniques and equipment may have also played a role in this increase.
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freeeeeeeeeeee33eeeeeeeeeeeee POINTSSSSSS
thanks 4 the points lolllll
Answer:
someone deleted my answer, but thank you again.
Step-by-step explanation:
Which numbers are the extreme of the proportion shown below?
Answer:
4,35
Step-by-step explanation:
4/7 = 20/35
Converting it into ratio form
4:7 = 20:35
The Extremes of this proportion are 4,35
While, the means of this proportion are 7, 20
question content area top part 1 a particular type of wood-frame door is priced at $1480 with a sales tax of $370. find the rate of sales tax.
The sales tax rate for a specific type of wood-frame door priced at $1480 is 25%, or $370.
What is percent?Percentages are just fractions with a denominator of 100. We use the percent sign (%) beside a number to indicate that it is a percentage. For instance, if you answered 75 questions correctly out of 100 on a test (75/100), you would have received a 75%. A percentage is a relative value that represents one hundredth of a quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entire amount and 200 percent specifies twice the given quantity. A percentage is a fraction of a whole expressed as a number between 0 and 100.
Here,
Sale tax=$370
Price of door=$1480
Sales tax percent=370/1480*100
=25%
The rate of sales tax for a particular type of wood-frame door is priced at $1480 is 25% that is $370.
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the area of the parking space shown at the right has an area of 156 ft squared a custom truck has regular dimensions 12.5 ft by 5.3 ft can the truck fit into the space justify your answer
Answer:
It will fit
Step-by-step explanation:
165 / 15 = 11
So b = 11
12.5 can fit in 15
and 5.3 can fit in 11 so it will fit.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Multiply
-3.7
A. -21
B. -11
C. 21
D. 11
Answer:
A
Step-by-step explanation:
negative times a postive is always negative unless squared
Answer:
A. -21
Step-by-step explanation:
Note that when you multiply a negative with a positive number, your answer will be negative. Multiply as usual:
-3 * 7 = -21
A. -21 is your answer.
~
A student is deriving the quadratic formula. Her first two steps are shown.
Step 1: –c = ax2 + bx
Step 2: \(-c=a(x^{2} +\frac{b}{a} x)\)
The solution of the given problem of quadratic equation comes out to be factoring the binomial is the correct response.
Define quadratic equation.Regression modelling uses the polynomial solution x = ax² + b + c=0 for one-variable equations. The First Hypothesis of Algebra claims that since this equation has a second order, there can only be one solution. There are simple and complex solutions available. Even as the name suggests, a "non-linear formula" has four variables. According to this, there might be just one squared word.
Here,
In Step 2, it appears that the binomial ax2 + bx in the equation -c = ax² + bx is being factored. The student has specifically factored out a "a" from the words ax2 and bx to get:
=> a(x² + b/a x) = -c
The student's attempt to factor this same quadratic expression
ax² + bx by eliminating the two terms' "a" largest common factor serves as the best rationale for Step 2, as a result.
Thus, "factoring the binomial" is the correct response.
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The complete question is
" A student is deriving the quadratic formula. Her first two steps are shown. Step 1: –c = ax2 + bx Step 2: -c = a[x^2+b/ax] Which best explains or justifies Step 2? division property of equality factoring the binomial completing the square subtraction property of equality"
After drinking, the body eliminates 37% of the alcohol present in the body per hour.
a) The amount of alcohol in grams in the body on an hourly basis is described by a discrete time dynamical system (DTDS) of the form xn+1=f(xn), where xn is the number of grams of alcohol in the body after n hours. Give the updating function f (as a function of the variable x).
b) Peter had three alcoholic drinks that brought the alcohol content in his body to 41 grams, and then he stopped drinking. Give the initial condition (in grams) for the DTDS in (a).
c) Find the solution of the DTDS in (a) with the initial condition given in (b). (Your answer will be a function of the variable n, which represents time in hours.)
The solution of the DTDS is xn = (0.63)^n * 41 grams, where n represents time in hours.
a) The updating function f(x) for the discrete time dynamical system (DTDS) can be derived from the given information that the body eliminates 37% of the alcohol present in the body per hour.
Since 37% of the alcohol is eliminated, the amount remaining after one hour can be calculated by subtracting 37% of the current amount from the current amount. This can be expressed as:
f(x) = x - 0.37x
Simplifying the equation:
f(x) = 0.63x
b) The initial condition for the DTDS is given as Peter having 41 grams of alcohol in his body after consuming three alcoholic drinks. Therefore, the initial condition is:
x0 = 41 grams
c) To find the solution of the DTDS with the given initial condition, we can use the updating function f(x) and iterate it over time.
For n hours, the solution is given by:
xn = f^n(x0)
Applying the updating function f(x) repeatedly for n times:
xn = f(f(f(...f(x0))))
In this case, since the function f(x) is f(x) = 0.63x, the solution can be written as:
xn = (0.63)^n * x0
Substituting the initial condition x0 = 41 grams, the solution becomes:
xn = (0.63)^n * 41 grams
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i’m a lil confused...help??!?
Choose the most appropriate name for the function described below.
When a baseball is hit, the distance it will travel depends on its speed.
A. Baseball(distance), or B(d)
B. Distance(speed), or D(s)
C. Distance(baseball), or D(b)
D. Speed(distance), or s(d)
Answer:
the answer is b hope you have fun
Answer:
Answer B
Step-by-step explanation:
Which of the following is equivalent to the addition problem below?
27.93 +61.63
Your claim results in the following alternative hypothesis: H
a
:p<31% which you test at a significance level of α=.005. Find the critical value, to three decimal places. z
a
=∣
Given, Level of significance, α = 0.005
Hypothesis,
H0: p ≥ 31%
H1: p < 31%To find,
Critical value and z_alpha
Since α = 0.005, the area in the tail is 0.005/2 = 0.0025 in each tail because the test is two-tailed.
Using a z table, find the z-score that corresponds to the area of 0.0025 in the left tail.
Then, the critical value is -2.576 rounded to 3 decimal places.
So, z_alpha = -2.576.
Hence, option (b) is correct.
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the washington family and the bennett family each used their sprinklers last summer. the water output rate for the washington family's sprinkler was per hour. the water output rate for the bennett family's sprinkler was per hour. the families used their sprinklers for a combined total of hours, resulting in a total water output of . how long was each sprinkler used?
30 hours of use by the Washington family sprinkler and 35 hours of use by the Bennett family sprinkler.
We can find how long was each sprinkler used by substitution method.
Let W = hours of use by the Washington family
65 - W = hours of use by the Bennett family
According to the question we get
15W + 40(65 -W) = 1850
15W + 2600 - 40W = 1850
-25W = -750
W = 30
Now, put the value of W in 65 - W to calculate the hours used by the Bennett family
65 - W = 65 - 30 = 35
Thus, the amount of time used for sprinklers by the Washington family and the Bennett family is 30 hours and 35 hours, respectively.
--The given question is incomplete, the complete question is
"The Washington family and the Bennett family each used their sprinklers last summer. The water output rate for the Washington family's sprinkler was 15L per hour. The water output rate for the Bennett family's sprinkler was 40L per hour. The families used their sprinklers for a combined total of 65 hours, resulting in a total water output of 1850L. How long was each sprinkler used?"--
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Elisa withdrew $26 at a time from her bank account and withdrew a total of $208. Frances
withdrew $49 at a time from his bank account and withdrew a total of $245. Who made the
greater number of withdrawals?
And how many withdrawals did each person make?
(Please help me!)
Answer:Elisa made the greater number of withdrawals
Step-by-step explanation:
208 divided by 26 is 8
245 divided by 49 is 5
Answer:
5
Step-by-step explanation:
divid lol
Which equation represents the graphed function?
y=-3x + 3
y = 3x - 3
y= 3x - 1/3
y=1/3x+3
PLZ HELP I BEG YOU SO MUCH 25 POINTS!!!!!!!!!!!!!!!!!!!!!!!
Svetlana thinks that there is no solution to the system of linear inequalities y > 4x - 8 and y ≤ 4x + 4 because they have the same slope. Is she correct? Explain how you know
Answer:
\(x<\frac{y+8}{4}\)
\(x\geq \frac{y}{4} -1\)
Step-by-step explanation:
no the answers aren't the same
DATA EXPLORATION Did Mr. Starnes stack his class? Mr. Starnes teaches APD Statistics, but he also does the class scheduling for the high school. There are two AP® Statistics classes-one taught by Mr. Starnes and one taught by Ms. McGrail. The two teachers give the same first test to their classes and grade the test together. Mr. Starnes's students earned an average score that was 8 points higher than the average for Ms. McGrail's class. Ms. McGrail wonders whether Mr. Starnes might have "adjusted" the class rosters from the computer scheduling program. In other words, she thinks he might have stacked" his class. He denies this, of course. To help resolve the dispute, the teachers collect data on the cumulative grade point averages and SAT Math scores of their students. Mr. Starnes provides the GPA data from his computer. The students report their SAT Math scores. The following table shows the data for each student in the two classes. Note that the two data values in each row come from a single student. la W 28 Starnes GPA McGrail GPA Starnes SAT-M 670 2.9 2.9 2.86 520 2.6 3.6 3.2 McGrail SAT-M 620 590 650 600 620 680 500 502.5 2.71 570 710 600 590 640 570 710 630 630 670 650 660 510 3.1 3.085 3.75 3.4 3.338 3.56 3.8 3.2 3.1 3.3 3.98 2.9 3.2 3.5 2.8 2.9 3.95 3.1 2.85 2.9 3.245 3.0 3.0 640 630 580 590 600 600 2.8 620 580 600 600 2.9 3.2 Did Mr. Starnes stack his class? Give appropriate graphical and numerical evidence to support your
The possible data in the question does not provide sufficient evidence available to support the alternative hypothesis that there is a difference between Mr. Starnes and Ms. McGrail's AP Statistics classes and Mr. Starnes did not stack the class.
What is a hypothesis testing?
In statistics, a hypothesis test is the performance of a test on an assumption made about a population parameter.
The possible data in the question, obtained from a similar online question, using MS Excel, indicates;
The mean of the Starnes GPA ≈ 3.212867
The standard deviation of Starnes GPA ≈ 0.364249
Mean of McGrail GPA ≈ 3.134722
The standard deviation of McGrail's GPA ≈ 0.357995
The null hypothesis is H₀: μ₁ - μ₂ = 0
The alternative hypothesis is Hₐ: μ₁ - μ₂ ≠ 0
The test statistic is found using the following formula;
\(t_0 = \dfrac{(\overline{x_1} - \overline{x_2})-(\overline{\mu_1}-\overline{\mu_2})}{\sqrt{\dfrac{s_1^2}{n_1}+\dfrac{s_2^2}{n_2} } }\)
The decision rule is obtained with α = 0.05 and the null hypothesis is rejected t₀ ≤ -1.96 or t₀ ≥ 1.96
Therefore, we get;
\(t_0 = \dfrac{(3.212867 - 3.134722)-0}{\sqrt{\dfrac{0.364249^2}{15}+\dfrac{0.357995^2}{18} } } \approx 0.618\)
The parameter for the degrees of freedom is 15 - 1 = 14
The critical value obtained from the t-table, at t.₉₅ is 1.761 which is larger than 0.618, therefore, we fail to reject the null hypothesis, and the evidence is insufficient to suggest that there is a difference in the average score of the two AP Statistics classes.
Taking the variance to be the same, we get;
\(S_p^2= \dfrac{(n_1-1)\cdot s_1^2+(n_2-1)\cdot s_2^2}{n_1+n_2-2}\)
Therefore;
\(S_p^2= \dfrac{(15-1)\times 0.364249^2+(18-1)\times 0.357995^2}{15+18-2}\approx 0.1302\)
\(t_0 = \dfrac{(\overline{x_1} - \overline{x_2})-(\overline{\mu_1}-\overline{\mu_2})}{\sqrt{s_p^2 \times\left(\dfrac{1}{n_1}+\dfrac{1}{n_2} }\right) }\)
\(t_0 = \dfrac{(3.212867 - 3.134722)-0}{\sqrt{0.1302\times \left(\dfrac{1}{15}+\dfrac{1}{18} }\right) } \approx 0.6195\)
df = 15 + 18 - 2 = 31
From the t-table, the critical value is about 1.697, which is larger than 0.6195, therefore, the null hypothesis cannot be rejected and the evidence available is not enough to suggest that there is a difference between the grade point averages of Mr. Starnes and Ms. McGrail AP Statistics classes and Mr. Starnes did not stack the class
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If SV = UV = 14, ST = p + 14, and TU = 3p, what is the value of p?
(PLEASE HELP)
Answer:
-3.5
Step-by-step explanation:
This is the answer.
Which of the choices is equivalent to the statement below?
"If the bus stops, then the bus has no fuel."
a. If the bus has no fuel, then the bus stops.
b. If the bus has fuel, then the bus is moving.
c. If the bus is moving, then the bus has fuel.
d. If the bus stops, then the bus has fuel.
The equivalent statement is a. If the bus has no fuel, then the bus stops.
The original statement is a conditional statement, which has the form "If A, then B." In this case, A is "the bus stops" and B is "the bus has no fuel." The contrapositive of a conditional statement is formed by negating both A and B, and then reversing the order. In this case, the contrapositive is "If the bus has no fuel, then the bus stops."
The contrapositive is equivalent to the original statement because they both have the same truth value. In other words, they are both true or false at the same time.
In this case, the contrapositive is true because if a bus has no fuel, then it cannot move. Therefore, if a bus stops, then it must have no fuel.
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The equivalent statement is a. If the bus has no fuel, then the bus stops.
The original statement is a conditional statement, which has the form "If A, then B." In this case, A is "the bus stops" and B is "the bus has no fuel." The contrapositive of a conditional statement is formed by negating both A and B, and then reversing the order. In this case, the contrapositive is "If the bus has no fuel, then the bus stops."
The contrapositive is equivalent to the original statement because they both have the same truth value. In other words, they are both true or false at the same time.
In this case, the contrapositive is true because if a bus has no fuel, then it cannot move. Therefore, if a bus stops, then it must have no fuel.
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A selection method is said to have utility when it 0 out of 1 points Which one of the following is the best example of a behavioral (or work sample) question? uestion 3 1 out of 1 points Artificial intelligence (AI) is sometimes used to analyze a candidate's psychological profile to whether it will fit Question 4 0 out of 1 points Laura applies for the position of ambulance medic. To give her a job simulation (behavioral interview) screening test, the interviewer
Question 4: Laura applies for the position of ambulance medic. To give her a job simulation (behavioral interview) screening test, the interviewer...
This question involves providing a job simulation or behavioral interview, which allows the interviewer to observe how the candidate performs in a simulated work situation. This type of question assesses the candidate's skills, abilities, and behavior in a real or simulated work scenario, providing a more accurate evaluation of their capabilities for the job.
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Question 9 Which of the following distributions has a mean that varies? I. The population distribution II. The distribution of sample data III. The sampling distribution of the sample mean
O ll only
O Il only
O Tonly
O all three distributions
O I and III
II only- the distribution of the sample data.
A sampling distribution is a probability distribution of a statistic generated from more samples taken from a specific population.
The sampling distribution shows how the sample means will vary in repeated samples.
The mean is the most common kind of sampling distribution. This kind concentrates on figuring out the mean average of all sample means, which results in the sampling distribution.
A sampling distribution mean is obtained by adding together the average of each sample and reflecting the characteristics of the entire population.
As the number of samples increases, the standard deviation falls, resulting in a normal frequency distribution or a bell-shaped graph.
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A sampling distribution is a probability distribution of a statistic generated from more samples taken from a specific population.
The sampling distribution shows how the sample means will vary in repeated samples.
The mean is the most common kind of sampling distribution. This kind concentrates on figuring out the mean average of all sample means, which results in the sampling distribution.
A number is rounded to the nearest tenth and hundredth. What is the number that was rounded?
Number Rounded to Nearest Tenth Rounded to Nearest Hundredth
0.6 0.58
0.574
0.579
0.585
0.681
9514 1404 393
Answer:
0.579
Step-by-step explanation:
You can consider what the offered numbers are when they are rounded to hundredths:
0.574 ⇒ 0.57
0.579 ⇒ 0.58 . . . matches your requirement
0.585 ⇒ 0.59
0.681 ⇒ 0.68
The only number on the list that matches your rounding requirement is 0.579.
An assistant spends a total of 60 hours working one week. If the assistant spends 18 hours on scheduling travel and spends an equal amount of time, h , in hours, working on each of 3 other projects, which statement is true? Responses The equation 3(h+18)=60 can be used to find h , and the assistant spends 14 hours on each of the other projects. The equation 3 ( h + 18 ) = 60 can be used to find h , and the assistant spends 14 hours on each of the other projects. The equation 3(h+18)=60 can be used to find h , and the assistant spends 2 hours on each of the other projects. The equation 3 ( h + 18 ) = 60 can be used to find h , and the assistant spends 2 hours on each of the other projects. The equation 3h+18=60 can be used to find h , and the assistant spends 14 hours on each of the other projects. The equation 3 h + 18 = 60 can be used to find h , and the assistant spends 14 hours on each of the other projects. The equation 3h+18=60 can be used to find h , and the assistant spends 2 hours on each of the other projects
The TRUE statement is C. The equation 3h + 18 = 60 can be used to find h, and the assistant spends 14 hours on each of the other projects.
What is an equation?An equation is a mathematical statement about the equality or equivalence of two or more algebraic expressions.
An algebraic expression is a combination of variables, constants, numbers, and values with mathematical operands (addition, subtraction, division, and multiplication).
The total number of working hours per week = 60 hours
The amount of hours spent on scheduling travel = 18 hours
The amount spent on 3 other projects = 42 hours (60 - 18)
Let the hours spent on each of the three projects = h
h = 14 (42/3)
Equation:Given equation: 3h + 18 = 60
Substitute h = 14 in the equation:
3(14) + 18 = 60
42 + 18 = 60
Thus, the correct statement is Option C.
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g how can you describe the standard deviation in part c relative to the population standard deviation from which the samples were generated?
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 population of Pittsburgh was about 12,600 in 1820. Between 1820 and 1840 the population grew exponentially, increasing by about 70% each decade.
A roller coaster’s height is given by the equation h = –.054t2 + 6t +25, where t represents the time in seconds. How long will it take riders to pass over the hill and reach ground level? Hint: Set h = 0.
119.15 seconds
115.13 seconds
57.28 seconds
25.00 seconds
The time it will take the riders to pass over the hill and reach ground level is 115.13 seconds. The correct option is the second option 115.13 seconds
Calculating the time it will take riders to pass over the hill and reach the ground levelFrom the question, we are to determine how long it would take riders to pass over the hill and reach ground level.
To determine how long it would take the riders to pass over the hill and reach ground level, we will set h = 0 in the given equation.
The given equation is
h = -0.054t² + 6t + 25
Set h = 0
0 = -0.054t² + 6t + 25
Solve the quadratic equation using the quadratic formula,
t = [-b ± √(b² - 4ac)] / 2a
From the equation,
a = -0.054, b = 6, and c = 25
Then,
t = [-b ± √(b² - 4ac)] / 2a
t = [-(6) ± √((6)² - 4(-0.054)(25))] / 2(-0.054)
t = [-6 ± √(36+ 5.4)] / -0.108
t = [-6 ± √(41.4)] / -0.108
t = [-6 ± 6.434] / -0.108
t = [-6 + 6.434] / -0.108 OR t = [-6 - 6.434] / -0.108
t = 0.434/-0.108 OR t = -12.434/-0.108
t = -4.02 OR t = 115.13
Since t cannot be negative
Hence, t = 115.13 seconds
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Which criteria for triangle congruence allows you to immediately conclude that the triangles.
We may determine that the triangles are congruent based on the (B) HL criterion right away.
What are HL criteria?According to the HL Postulate, a right triangle's hypotenuse and leg are congruent if they are also congruent with the hypotenuse and leg of another right triangle.
So, we can see from the accompanying figure that these two triangles share a center line that is parallel to the base.
The two triangles are therefore right-angled triangles.
The hypotenuse of two triangles being congruent is then mentioned as a further argument.
Triangle congruence according to the HL criterion allows for a quick determination of congruence.
Therefore, we may determine that the triangles are congruent based on the (B) HL criterion right away.
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Complete question:
Which criteria for triangle congruence allows you to immediately conclude that the triangles are congruent without any extra steps?
A) SAS
B) HL
C) AAS
D) none