Answer:
a=9
Step-by-step explanation:
a^2+b^2=c^2
a^2+5.6^2=10.6^2
a^2+ 31.36=112.36
-31.36 -31.36
a^2=81
a=\(\sqrt{81}\)
a=9
Answer:
9in
Step-by-step explanation:
is a right triangle so you can use Pythagorean Th.
(10.6)²= (5.6)² + a², subtract (5.6)² from both sides
(10.6)²- (5.6)² = a²
81 =a², squareroot both sides
√81= √a²
±9 = a we only consider the positive solution because we use it for measurements so a=9
R of breaths of all people in asia in 2016? Expressing your answer in scinentific notation in the form a *10^(b) what are the values of a and b?
Answer:
\(a = 3.7464\)
\(b = 16\)
Step-by-step explanation:
Given
See attachment for complete question
Required
Express the answer in \(a * 10^b\)
From the question, we have:
\(People = 4.46 * 10^9\)
\(Breath = 8.4 * 10^6\) breath/person in a year
The number of breath is calculated by:
\(Overall = People * Breath\)
So, we have:
\(Overall = 4.46 * 10^9 * 8.4 * 10^6\)
Reorder
\(Overall = 4.46 * 8.4* 10^9 * 10^6\)
\(Overall = 37.464* 10^{9+6}\)
\(Overall = 37.464* 10^{15}\)
Using scientific notation \(a * 10^b\);
The value (a) must be in the following interval \(0 \le a \le 1\)
So, we have:
\(Overall = 3.7464 * 10 * 10^{15\)
\(Overall = 3.7464 * 10^{16\)
By comparing the above with: \(a * 10^b\)
\(a = 3.7464\)
\(b = 16\)
Haley has a collection of necklaces. Lastmonth, she had 40 necklaces. She now has72 necklaces. What is the percent changein the number of necklaces in Haley'scollection from last month to now?
40 necklaces before
72 necklaces now
40 ------------------------- 100%
72 ------------------------- x
x = (72 x 100)/40
x = 7200/40
x = 180%
Result = 180%
find the rational roots of polynomial 2x^3+3x^2-11x-6
Answer: x=-3 x=2 x=-0,5
Step-by-step explanation:
2x³+3x²-11x-6=
2x³+(6x²-3x²)-11x-6=
(2x³+6x²)-3x²-11x-6=
2x²(x+3)-(3x²+11x+6)=
2x²(x+3)-(3x²+(9x+2x)+6)=
2x²(x+3)-((3x²+9x)+(2x+6))=
2x²(x+3)-(3x(x+3)+2(x+3))=
2x²(x+3)-(x+3)(3x+2)=
(x+3)(2x²-(3x+2))=
(x+3)(2x²-3x-2)=
(x+3)(2x²-4x+x-2)=
(x+3)(2x(x-2)+(x-2))=
(x+3)(x-2)(2x+1)
(x+3)(x-2)(2x+1)=0
x+3=0
x=-3
x-2=0
x=2
2x+1=0
2x=-1
Divide both parts of the equation by 2:
x=-0.5
sharon is a good student who enjoys statistics. she sets a goal for herself to do well enough compared to her peers so that her standardized score on her statistics final is equal to her percentile rank (written as a decimal) among her classmates. scores on the statistics final are normally distributed. what goal did she set for herself?
Sharon's desired percentile rank of 0.78.
To determine the goal Sharon set for herself, we need to understand the relationship between standardized scores and percentile ranks.
In a standardized test, such as Sharon's Statistics final, the standardized score represents how well a student performed relative to the average score of the test-takers.
The percentile rank, on the other hand, indicates the percentage of test-takers that scored below a particular student.
In Sharon's case, she wants her standardized score to be equal to her percentile rank.
Therefore, her goal is to achieve a standardized score of 0.78 (written as a decimal) on her Statistics final.
This means she aims to score better than approximately 78% of her classmates, as indicated by her desired percentile rank of 0.78.
Hence her desired percentile rank of 0.78.
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Brendan is an hourly worker. During a week's pay period, he worked the following hours and minutes: Day Hours Minutes Monday 8 45 Tuesday 7 52 Wednesday 8 0 Thursday 9 36 Friday 8 24 Using the quarter-hour method, how many total hours did Brendan work that week
The total hours did Brendan work that week is 669.86.
How to calculate how many hours Brendan work that week?A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression. Operations include addition, subtraction, multiplication, and division.
The collection of mathematical symbols that emerges from the right arrangement of numbers is known as a mathematical expression and variables using operations like addition, subtraction, multiplication, division, exponentiation, and other as-yet-unlearned operations and functions.
The three different types of algebraic expressions are monomial, binomial, and polynomial.
The total hours did Brendan work that week is 669.86.
The complete question is: Brendan is an hourly worker and earns $15.25/hour. During a week's pay period, he worked the following hours and minutes:
Day Hours Minutes
Monday 8 45
Tuesday 7 52
Wednesday 8 0
Thursday 9 36
Friday 8 24
Using the hundredth-hour method, what is Brendan's gross pay for the week? The employer pays overtime for all time worked in excess of 40 hours per week.
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Sherry earns $16 per hour tutoring student-athletes at Montgomery College. If she tutored for 14.5 hours last month, how much money did she earn?
Answer:$232
Step-by-step explanation:14.5x16=232
Answer:
$232
(If you want to round, the answer would be $200)
Step-by-step explanation:
This is just a one-step equation:
16 x 14.5 = $232
What is the value of 1/4+1/8+1/2?
A. 3/8
B. 4/8
C. 6/8
D. 7/8
Answer:
D
Step-by-step explanation:
Convert all of the fractions' denominators so that they are 8. This is because 4,2, and 8's least common multiple is 8.
Remember that when multiplying the denominator, we must also multiply the numerator. So:
\(\frac{1}{2} * \frac{4}{4} = \frac{4}{8} \\\)
\(\frac{1}{4} *\frac{2}{2} =\frac{2}{8}\)
Since we are asked to add all of them, we can do that easily since all of the fractions now share a common denominator.
\(\frac{2}{8} +\frac{4}{8} + \frac{1}{8} = \frac{7}{8}\)
Therefore, the answer is D.
It is given that the equation (mx)²+ 5nx+4=0 has two equal real roots while the quadratic equation px²-x+m=0 has two distinct roots where m,n and p are constants. Express the range of n in terms of p
Given:
\((mx)^2+5nx+4=0\text{ has two equal real roots}\)\(px^2-x+m=0\text{ has distict roots. }\)Taking the first equation:
\(a=m^2\text{ ; b=5n ; c=4 }\)\(b^2-4ac=0\)\(25n^2-4m^2(4)=0\)\((5n)^2-(4m)^2=0\)\((5n+4m)(5n-4m)=0\)\(5n+4m=0\text{ ; 5n-4m=0}\)\(m=-\frac{5}{4}n\text{ ; m=}\frac{5}{4}n\)\(4m=-5n\text{ ; 4m=5n}\)Taking the second equation:
\(a=p\text{ ; b=-1 ; c=m}\)\(b^2-4ac>0\)\(1-4pm>0\)If 4m=5n,
\(1-p(5n)>0\)\(1>p(5n)\)\(\frac{1}{5p}>n\)If 4m=-5n,
\(1-p(-5n)>0\)\(1+5pn>0\)\(5pn>-1\)\(n>-\frac{1}{5p}\)Range of n in terms of p:
\(\frac{1}{5p}>n>-\frac{1}{5p}\)\(-\frac{1}{5p}HELP DUE FRIDAY!!!!
4. The arc of PQ has a length of π/3. What is the measure of angle POQ in radians?
90
its a 90 degree Angle...........
A company has offices in 3 different cities and a total of 480 workers. there are 90 workers in new york and 130 workers in denver. the rest of the workers are in san diego. which number line represents the number of workers in san diego?
Number line that number of workers in San diego is 260, 290, 320, 350, 380, 410, 440, 470, 500. The correct answer is 260
To find the number of workers in San Diego, we need to subtract the number of workers in New York (90) and Denver (130) from the total number of workers (480). Subtracting 90 and 130 from 480, we get 260. This means that 260 workers are in San Diego.
The number line represents the possible number of workers in San Diego. Since there are only three cities, the number of workers in San Diego must be positive (as there are workers in that city). Therefore, we can eliminate numbers less than 0. Additionally, the number of workers in San Diego cannot exceed the total number of workers (480). Thus, we can eliminate numbers greater than 480.
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What is -6x-4(x+5)<-8x-24?
Answer:
the correct answer is x>2
Step-by-step explanation:
-6x-4(x+5)<-8x-24
⇒-6x+8x-4x<-24+20
⇒ x>2
Evaluate the logarithm. ln(1/e^2)
Answer:
-2
Step-by-step explanation:
Notice that 1/e^2 = e^(-2), by power rules.
Now ln(e^x)=x.
So ln(1/e^2) = ln(e^(-2))=-2
Find the value of f(x) when x= -2 for each of the functions.
mike can wash a car in 3 hours. sabrina can wash the same car in 2 hours. to the nearest minute, how long would it take them to wash the car together?
Number of hours taken by Mike and Sabrina to wash a car when they work together is equal to (6/ 5) hours .
As given in the question,
Number of hours taken by Mike to wash a car = 3 hours
Work done by Mike in 1 hour = 1/3
Number of hours taken by Sabrina to wash a car = 2 hours
Work done by Sabrina in 1 hour = 1/2
Amount of work done by Mike and Sabrina together in 1 hour
= (1/3) + (1/2)
= ( 2 + 3 ) / 6
= 5/6
Now,
1 work done by Mike and Sabrina together = 6/5 hours
Therefore, number of hours taken them together to wash a car is
(6/5) hours.
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there are 5 blue chips and 3 yellow chips in a bag. one chip is drawn from the bag. that chip is placed back into the bag. a second chip is then drawn. what is the probability that the two selected chips are of different colors? express your answer as a common fraction.
The probability that the two selected chips are of different colors is 15/32
How to determine the probabilitiesFrom the question, we have the following parameters that can be used in our computation:
Blue = 5
Yellow = 3
This means that
Total = 5 + 3
Total = 8
The probability of different color is then calculated as
P(Different) = Yellow and Blue or Blue and Yellow
So, we have
P = 3/8 * 5/8 * 2
Evaluate
P = 30/64
Simplify
P = 15/32
Hence, the probability is 15/32
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multiple regression analysis a produces measures of probable error b establishes a cause and effect relationship c involves the use of independent variables only d is not a sampling technique
Among the options provided, the correct statement regarding multiple regression analysis is: b) Multiple regression analysis establishes a cause and effect relationship.
Multiple regression analysis is a statistical technique used to examine the relationship between a dependent variable and multiple independent variables. It aims to determine the extent to which the independent variables predict or explain the variation in the dependent variable.
However, it is important to note that multiple regression analysis alone cannot establish a cause and effect relationship between variables. While it can identify associations and quantify the strength of relationships, establishing causality typically requires additional evidence from experimental designs or other rigorous methods.
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Pls gimme the answers in simplest form, you don’t need to show work though. Its due tm pls help.
Answer:
36/45;18/30;9/35 those are the first three
Step-by-step explanation:
Answer: 5/9 x 4/5= 4/9
2/3 x 9/10= 3/5
3/7 x 35= 15
3 1/3 x 2 1/4= 7 1/2
4/5 x 30= 24
Discuss the downsizing process in your own words and provide an
example.
Downsizing refers to the process of reducing the size and workforce of a company to cut costs, increase efficiency, or adapt to changing market conditions. It involves eliminating positions, reducing staff numbers, or even closing down certain business units or branches.
Downsizing can occur for various reasons, such as financial difficulties, mergers and acquisitions, technological advancements, or strategic reorganization. Companies often assess their operational costs and decide to downsize to improve their financial performance.
During the downsizing process, companies may calculate the potential cost savings by considering factors such as salaries, benefits, severance packages, and operational expenses. For example, if a company decides to eliminate 100 positions with an average salary of $50,000 per year, it could result in annual savings of $5 million.
While downsizing can help companies achieve short-term cost reductions, it often has significant implications for the affected employees, including layoffs, reduced morale, and increased workload for remaining staff. It is crucial for organizations to handle the downsizing process with sensitivity and transparency, providing support to affected employees and communicating the rationale behind the decisions.
It is important to note that downsizing should not be seen as a long-term solution, but rather as a strategic measure to address specific challenges. Companies should also explore alternatives to downsizing, such as retraining and redeploying employees, implementing productivity improvements, or seeking new business opportunities, to ensure sustainable growth and success in the long run.
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There are 11900 films on Netflix. 13% of the films are action. How many films are action?
13% of 11900 films are action films =1547 films.
Answer:
\({ \tt{ = \frac{13}{100} \times 11900 }} \\ = 1547 \: action \: films\)
taxi Cab Company B: $6.50 per ride and $0.50 per mile
Express in the table the cost of the cab ride given the number of miles. Hint: Fill in the table above using cost for company B.
Write an equation in slope-intercept form to represent the cost of a taxi ride using company B. Hint: use y= mx+b
Y = __________________
What does the slope mean in the context of this problem?
Hint: What changes the further you ride?
Using the slope - intercept relation, the equation which represents the cost of cab ride is y = 0.5x + 6.50
Cost per ride = $6.50Cost per mile = $0.50Using the slope - intercept relation :
y = bx + cb = change in cost per mile
c = constant price added for every taxi ride
Hence, the expression can be written thus :
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This is 7th grade math so pls answer asap
1: v/8=2
2:16=k/11
3:18+m=8
v/8=2
x8 x8
v=16
16=k/11
x11 x11
176=k
18+m=8
-18 -18
m=-10
---
hope it helps
Samuel earns $50.75 each week by working at a part-time job. He works the same amount of time each day for 5 weeks. What is the total amount of money Samuel earns during the 5-week period?
Answer:
$253.75
Step-by-step explanation:
He earns $50.75/week. Do 50.75 x 5 = $253.75
Please show work and solve it! 100 points! n(n-7)=0
Pls help with the first one thank you
Answer:
1) 54 is the answer
2) The shape is cube
Select all the lines that have a slope of 5/2.
Please help!
Will give brainly- Worth 23 Points.
Answer:
maybe its a and e
Step-by-step explanation:
Answer: A and E
Explanation:
A has a triangle to show the slope. If you count the boxes along the triangle the vertical side is 10 boxes and the horizontal side is 4. This means the slope is 10/4 which simplifies to 5/2.
E doesn’t have a triangle to show the slope but if you count in the triangle pattern from one point to the next point the slope equals 5/2.
A criminal justice researcher found that a sample of juveniles living in a group home had a mean
score of 75 on a measure of depression (SD = 2. 5). Determine the 99% confidence interval and
explain what the results indicate. (6 pts. )
Show your calculations.
This confidence interval indicates that we are 99% confident that the true population mean depression score of juveniles living in a group home is between 72.96 and 77.04. Hence, we can say that the sample of juveniles living in a group home with a mean score of 75 on a measure of depression is unlikely to be a chance effect.
Confidence Interval:The confidence interval provides a range of values within which the true population mean is likely to lie with a given probability (level of confidence).Calculating Confidence Interval:To calculate the confidence interval, the formula used is:CI = X ± Zc (SEM)WhereX is the sample meanZc is the critical value of the standard normal distribution corresponding to a given level of confidence (Zc = 2.58 for a 99% confidence level)SEM is the standard error of the meanSEM = SD / √nWhereSD is the sample standard deviationn is the sample sizeCalculation of Confidence Interval:Given,Sample mean, X = 75SD = 2.5n = sample sizeFor a 99% confidence level, Zc = 2.58 (from standard normal distribution table)SEM = 2.5 / √n99% confidence interval is calculated as follows:CI = X ± Zc (SEM)CI = 75 ± 2.58(2.5/√n)CI = 75 ± 2.04CI = (75 - 2.04, 75 + 2.04)CI = (72.96, 77.04)Therefore, the 99% confidence interval is (72.96, 77.04).Results:This confidence interval indicates that we are 99% confident that the true population mean depression score of juveniles living in a group home is between 72.96 and 77.04. Hence, we can say that the sample of juveniles living in a group home with a mean score of 75 on a measure of depression is unlikely to be a chance effect.
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Is a juvenile justice system necessary? Why or why not?Explain in 5-6 complete sentences.
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The equation x^2−8x−5=0 can be transformed into the equation (x−p)^2=q, where p and q are real numbers. What is the value of q?
Answer:
x = 5
or
x = 3
Step-by-step explanation:
The first term is, x2 its coefficient is 1 .
The middle term is, -8x its coefficient is -8 .
The last term, "the constant", is +15
Step-1 : Multiply the coefficient of the first term by the constant 1 • 15 = 15
Step-2 : Find two factors of 15 whose sum equals the coefficient of the middle term, which is -8 .
-15 + -1 = -16
-5 + -3 = -8
If the equation x²−8x−5=0 can be transformed into the equation (x−p)²=q, then value of q is 21
What is Equation?Two or more expressions with an Equal sign is called as Equation.
To transform the equation x² - 8x - 5 = 0 into the equation (x - p)² = q, we need to complete the square by adding and subtracting a constant term.
First, let's add 5 to both sides to get:
x² - 8x = 5
Applying complete square method
we need to add and subtract 16 inside the parentheses on the left-hand side:
x² - 8x + 16 - 16 = 5
Simplifying the left-hand side gives us:
(x - 4)² - 16 = 5
Adding 16 to both sides gives us:
(x - 4)² = 21
Therefore, the value of q is 21.
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If an= 4+2(n-1), what is the first term?
Answer:
4
Step-by-step explanation:
4 is the base of the equation and then as it goes on, you add 2* the point in the sequence -1
Over which interval is the graph of the parent absolute value function decreasing?
(–[infinity], [infinity])
(–[infinity], 0)
(–6, 0)
(0, [infinity])
The graph of the parent absolute value function is decreasing over the interval (-∞, 0). The function exhibits a decreasing behavior as x moves from negative infinity towards zero, where the absolute value decreases.
The parent absolute value function is defined as f(x) = |x|. To determine where the graph of this function is decreasing, we need to identify the intervals where the function's slope is negative.
Let's analyze the behavior of the parent absolute value function:
For x < 0, the function can be rewritten as f(x) = -x. In this interval, the function is a linear function with a negative slope of -1. As x decreases, f(x) also decreases, indicating a decreasing behavior.
For x > 0, the function remains f(x) = x. In this interval, the function is a linear function with a positive slope of 1. As x increases, f(x) also increases, indicating an increasing behavior.
At x = 0, the function is not differentiable since the slope changes abruptly from negative to positive. However, it is worth noting that the function does not strictly decrease or increase at x = 0.
Therefore, we can conclude that the graph of the parent absolute value function is decreasing over the interval (-∞, 0).
In this interval, as x moves from negative infinity towards zero, the function values decrease. The farther away x is from zero (in the negative direction), the larger the absolute value, resulting in a decrease in the function values.
On the other hand, the graph of the parent absolute value function is increasing over the interval (0, ∞), as explained earlier.
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pat's time in the 1600 meter run placed pat in the 85th percentile in the school. what percentage of students are faster than pat?
In linear equation, 15% is percentage of students are faster than pat .
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.
When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x)% of the values in the set are higher than V.
= (100 - 85 )%
= 15%
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