Answer:
\(|JK|=3\sqrt{3}\)
Step-by-step explanation:
The diagram of the triangle is drawn and attached,
From trigonometric ratios,
\(cos \theta =\frac{Adjacent}{Hypotenuse} \\cos60^\circ =\frac{|JK|}{|JL|}\\ 0.5=\frac{|JK|}{6\sqrt{3} }\\$Cross multiply$\\|JK|=0.5*6\sqrt{3}\\|JK|=3\sqrt{3}\)
Answer:
the proof is in the picture
Step-by-step explanation:
2.
If AB = 9x - 2 and BC = 6x + 13,
then BC = ?
A
B
С
Answer:
AB = 9x - 2BC = 6x + 13Since both have equal length
9x - 2 = 6x + 13
9x - 6x = 13 + 2
3x = 15
x = 15/3
x = 5
Length of BC = 6(5) + 13 = 43 cm
Step-by-step explanation:
Solution,
AB=9x-2
BC=6x+13
Now,
AC=AB+BC
=9x-2+6x+13
=15x+11
would 1, 2, 5, form a right angle
When can a correlation coefficient based on an observational study be used to support a claim of cause and effect? Never When the correlation coefficient is close to -1 or +1. When the correlation coefficient is equal to -1 or +1. When the scatterplot of the data has little vertical variation.
Never. Correlation does not imply causation. A correlation coefficient based on an observational study can only be used to suggest a relationship between two variables, but it cannot be used to support a claim of cause and effect.
Correlation is a measure of the relationship between two variables. It is used to measure how two variables move together. A correlation coefficient based on an observational study can only be used to suggest a relationship between two variables, but it cannot be used to support a claim of cause and effect. This is because correlation does not imply causation. A correlation coefficient close to -1 or +1 is an indication of a strong linear relationship between the two variables, but this does not necessarily imply a cause-and-effect relationship. Additionally, even if the scatterplot of the data has little vertical variation, this does not guarantee a cause-and-effect relationship. In summary, correlation coefficients based on observational studies can never be used to support a claim of cause and effect.
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Please help I’ll give brainliest
The exponent tells you how many times you multiply the number before it. So 2^3 is equivalent to 2*2*2. 2^3 is 8, and 3^2 is 9, 8*9 is 72.
Answer:
72
Step-by-step explanation:
simply use calculator if you want to get the answe faster
2^3 x 3^2
= 8 x 9
= 72
Please help ASAP
I will give brainliest if you answer right
Answer:
J) 15
Step-by-step explanation:
Difference means subtraction:
10 - (-5)
10 + 5
15
Find the difference 12 - 16
Answer:
-4
Step-by-step explanation:
At park junior high 10% or 160 of the students play a musical instrument how many students attended the school? Which statements are correct check all that apply. A.the total number of students is 160 C.the percent to whole ratio is 10/100 D.the percent as a part to whole ratio is 160/100 E.there are 1600 students in the school F.there are 250 students in the school.
Answer:
B, C, EStep-by-step explanation:
10% ⇔ 160100% ⇔ 10*160 = 1600Note. Got full answer options elsewhere
A. The total number of students is < 160.
Incorrect (1600>160)B. The total number of students is > 160.
CorrectC. The percent as a part-to-whole ratio is 10/100.
CorrectD. The percent as a part-to-whole ratio is 160/100.
Incorrect (10/100)E. There are 1,600 students in the school.
CorrectF. There are 250 students in the school.
Incorrect (1600)Answer:
B and C and E are 100% correct
Step-by-step explanation:
I completed this and got it right. Hope it helps !
Compare the expressions if a is less than b
-12.7a...-12.7b
What sign should be between -12.7a and -12.7b?
The required sign between -12.7a and -12.7b should be greater than sign (>).
If a is less than b, then -12.7a will be greater than -12.7b, because multiplying a smaller number by a negative constant (-12.7 in this case) will result in a larger negative value than multiplying a larger number by the same constant.
To see this, suppose we have two positive numbers x and y such that x < y. Then, multiplying both by a negative constant c will result in two negative numbers with magnitudes that are greater for x:
cx < cy, because c is negative and (x < y)
Therefore, if a is less than b, then:
-12.7a > -12.7b
So the sign between -12.7a and -12.7b should be greater than sign (>).
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find the work in ft-lb done by winding up a hanging cable of length 100 ft and weight-density 5 lb/ft
the work done is equal to the force applied (500 lb) multiplied by the distance (100 ft), resulting in 500 ft-lb of work done.
A force applied across a distance is what is referred to as work.
In this problem,
the force applied is the weight of the cable (5 lb/ft) multiplied by the length of the cable (100 ft).
Therefore, the work done is equal to the force applied (500 lb) multiplied by the distance (100 ft), resulting in 500 ft-lb of work done.Work is a force applied across a distance, and it is measured in a unit of energy called foot-pounds. In this problem, the force applied is the weight of the cable (5 lb/ft) multiplied by the length of the cable (100 ft). Therefore, the work done is equal to the force applied (500 lb) multiplied by the distance (100 ft), resulting in 500 ft-lb of work done. This means that 500 ft-lb of energy must be expended in order to move the cable 100 ft. This energy can be provided by a variety of sources, such as human labor, a motor, or some other mechanism.
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At the store, oranges are 5 for $3.00. How much would it cost to buy 8 oranges?
Answer:
$4.8
Step-by-step explanation:
5 for $3
So $3 ÷ 5 to get the price of one
Answer is 60c or $0.6
Then you multiply $0.6 with 8 to get the price of 8 oranges
So $0.6 x 8 = $4.8
Answer:
the cost of 8 oranges is 4.8$
step by step explanation
using ratio amd proportion
let x be the unknown amount
\(5 = 3 \\ 8 = x \\ cross \: multiply \\ 5x = 24 \\ divide \: \: both \: sides \: by \: 5 \\ \frac{5x}{5} = \frac{24}{5} \\ x = \frac{24}{5} \\ x = 4.8\)
therefore the answer is 4.8 dollars will buy 8 oranges
thank you
The largest share of national health expenditures is attributed to: A. public health activities. B. net cost of private health insurance. C. structures and equipment. D. personal health care.
The largest share of national health expenditures is typically attributed to D. personal health care.
What is personal health care?
Personal health care refers to the direct provision of medical goods and services to individuals, including services such as hospital care, physician services, prescription drugs, and other medical supplies. These expenses typically make up the majority of national health expenditures in many countries, including the United States.
Examples of Personal Health Care Services: Personal health care expenditures include costs associated with hospital care (inpatient and outpatient), physician and specialist services, laboratory tests, prescription drugs, medical devices, home health care, nursing home care, and other healthcare services utilized by individuals.
Factors Contributing to Personal Health Care Expenses: Several factors contribute to the high share of national health expenditures attributed to personal health care. These include the increasing prevalence of chronic diseases, advances in medical technology, rising healthcare utilization, and an aging population requiring more healthcare services.
Private Health Insurance: While personal health care expenditures primarily refer to direct payments made by individuals or on their behalf, a significant portion of these costs is covered by private health insurance. Private insurance plans help individuals offset the financial burden of healthcare expenses by pooling risks and providing coverage for various medical services.
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3a Express 800-600i in trigonometric form,rounding to 2 decimal places if necessary Remember that we should always user>0and0<360to express our answers. b Express,in trigonometric form,three values of Z for which z3=800-600i c Express your solutions to part b in standard a+bi form,rounding to three decimal places where needed. These are ugly,don't panic if you don't see pretty' cocfficients
The solutions are:` z^(1/3) = 500(cos(69.39) + i sin(69.39)), 500(cos(189.39) + i sin(189.39)), 500(cos(-60.61) + i sin(-60.61))`. Rounding to three decimal places, we get:` z^(1/3) ≈ -155.510 + 467.087i, -467.087 - 155.510i, 622.597 + 0i`.
a)We are given that `800-600i` and we need to convert it into the trigonometric form. For that, we need to first calculate the modulus and argument. Modulus: `|z| = sqrt(800^2 + (-600)^2) = 1000`Argument: `arg(z) = tan^(-1)(-600/800) = -36.87`Now we can write `z = 1000(cos(-36.87) + i sin(-36.87))`. Rounding to 2 decimal places, we get `z ≈ 1000(cos(323.13°) + i sin(323.13°))`.b)We need to find three values of `z` such that `z^3 = 800 - 600i`. Let's first write `800 - 600i` in polar form. Modulus: `|z| = sqrt(800^2 + (-600)^2) = 1000`Argument: `arg(z) = tan^(-1)(-600/800) = -36.87`Therefore, `z = 1000(cos(-36.87) + i sin(-36.87))`.Now we can find the cube roots of `z` as follows: `z^3 = 1000^3(cos(-36.87) + i sin(-36.87))^3 = 1000^3(cos(-110.61) + i sin(-110.61))`.Let `w = cos(120°) + i sin(120°)` be a cube root of unity. Then the three cube roots of `z` are given by `z^(1/3) = (1000(cos(-110.61 + 240k°) + i sin(-110.61 + 240k°)))^(1/3)` for `k = 0, 1, 2`.c)Let's write the cube roots of `z` in standard form. For `k = 0`, we have `z^(1/3) = 1000(cos(-110.61)/3 + i sin(-110.61)/3) = 500(cos(69.39) + i sin(69.39))`.For `k = 1`, we have `z^(1/3) = 1000(cos(-110.61 + 240°)/3 + i sin(-110.61 + 240°)/3) = 500(cos(189.39) + i sin(189.39))`.For `k = 2`, we have `z^(1/3) = 1000(cos(-110.61 + 480°)/3 + i sin(-110.61 + 480°)/3) = 500(cos(-60.61) + i sin(-60.61))`. Therefore, the solutions are:` z^(1/3) = 500(cos(69.39) + i sin(69.39)), 500(cos(189.39) + i sin(189.39)), 500(cos(-60.61) + i sin(-60.61))`. Rounding to three decimal places, we get:` z^(1/3) ≈ -155.510 + 467.087i, -467.087 - 155.510i, 622.597 + 0i`.
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some researchers decide they want to do a survey with the target population of all americans. the survey will be distributed online. current reports show that 89% of americans utilize the internet. 1. what type of coverage error might occur in this study? 2. what are two ways that bias might be avoided?
This can help ensure that the responses are accurate and reliable.
What is probability?
Probability is a branch of mathematics that deals with the study of random events or phenomena. It is the measure of the likelihood that an event will occur or not occur, expressed as a number between 0 and 1, where 0 represents impossibility and 1 represents certainty.
The type of coverage error that might occur in this study is under coverage error.
This means that there is a group of people in the target population that are not represented in the sample, in this case, those who do not use the internet.
Two ways to avoid bias in this study are:
Using probability sampling methods:
Probability sampling methods such as simple random sampling, stratified sampling, or cluster sampling can help ensure that each member of the target population has an equal chance of being included in the sample. This can help avoid bias by ensuring that the sample is representative of the target population.
Using proper survey design:
The survey should be designed in a way that avoids leading questions, loaded questions, or questions that are ambiguous or unclear.
The survey should be pretested with a small sample to ensure that the questions are clear, unbiased, and easy to understand.
Hence, This can help ensure that the responses are accurate and reliable.
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using the slope formula, find the slope of the line through the given points (8,0) and (2,-4)
Answer:
m=2/3
Step-by-step explanation:
the equation for slope (m) is (y2-y1)/(x2-x1)
here are the given points: (8,0) and (2,-4)
label the points
x1=8
y1=0
x2=2
y2=-4
substitute into the equation
m=(-4-0)/(2-8)
m=-4/-6
m=2/3
the slope is 2/3
PLS HELP ASAP THANKS
Answer:
(0;7)
Step-by-step explanation:
The graph will cross the y-axis when x is zero
Replace x with 0 in the given function:
\(7 \times {0}^{2} + 2 \times 0 + 7\)
\(0 + 0 + 7 = 7\)
x = 0,
y = 7
I need help and I will give five stars and a big thank you comrades
Answer:
A.
Step-by-step explanation:
A way to find the equation of the graph is to find the solutions.
On the graph, the solutions are where the function intersects the x-axis. That would be where x = -2, x = 1, and x = 3.
In the equations, you will need to find factors when the x is inputted, the factor equals 0. For example, one of the factors is (x + 2). This is because x + 2 = 0, so x = 0 - 2, so x = -2. So, the three factors are (x + 2), (x - 1), and (x - 3).
The correct equation is A.
Hope this helps!
simplify the following expression by combining like terms. select the most simplified Expression 2 W + 5 W - 6 + 4w
Answer:
11w-6
Step-by-step explanation
2w+5w-6+4w=7w+4w-6=11w-6
Convert mixed numbers 8(4/10) to decimals?
The value of mixed numbers 8(4/10) to decimals is 8.4.
To convert the 8(4/10) to a decimal, we need to add the whole number part (8) to the fractional part (4/10) in decimal form. In general, to convert a mixed number to a decimal, we can follow the same procedure by adding the whole number part to the decimal equivalent of the fractional part.
The decimal equivalent of a fraction can be found by dividing the numerator by the denominator. So, we need to divide the numerator (4) by the denominator (10), which gives us 0.4. Therefore, the mixed number 8(4/10) in decimal form is:
8 + 0.4 = 8.4
So the mixed number 8(4/10) is equal to 8.4 in decimal form.
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i have to find the value of x im give 2x+5=x-5 whats x equal
PLEASE ANSWER ASAP
At a carry-out burger restaurant, an order of 4 burgers, 2 orders of French fries and 3 fountain drinks cost $32.25. A second order of 6
burgers, 3 orders of French fries, and 6 fountain drinks costs $51.15. If three burgers and two fountain drink cost $13.05 more than two
orders of French fries, what is the cost of each
Answer:
hmmm I think u need to talk to ur teacher
HELP I'M FAILING .....
so if you have 300 coins and you take away half how much do you have left
What is the highest form of intelligence behavior?
The ability to listen to another person and to understand their point of view is one of the highest forms of intelligence behavior
We know that the intelligent behavior is nothing but the capability of using one's knowledge about the world to make decisions in novel situations. This means, people act intelligently if the use what they know to get what they want.
The four main features that characterises intelligence:
generality, flexibility, goal-directedness and adaptivity.
Some psychologists believe that one of the highest forms of intelligent behavior are:
the ability to listen to another person,
to empathize with,
and to understand their point of view
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Osteoporosis is a degenerative disease that primarily affects women over the age of 60. A research analyst wants to forecast sales of StrongBones, a prescription drug for treating this debilitating disease. She uses the model sales = Bo + B1Population + B2Income + ɛ, where Sales refers to the sales of StrongBones (in $1,000,000s), Population is the number of women over the age of 60 (in millions), and Income is the average income of women over the age of 60 (in $1,000s). She collects data on 25 cities across the United States and obtains the following regression results: Intercept Population Income Coefficients 10.32 8.10 7.55 Standard Error 3.94 2.39 6.45 t Stat 2.62 3.38 1.17 p-Value 0.0256 0.0431 0.3626 a. What is the sample regression equation? (Enter your answers in millions rounded to 2 decimal places.) Sales = + Population + Income b-1. Interpret the coefficient of population.b-2. Interpret the coefficient of income.
c. Predict sales if a city has 1.0 million women over the age of 60 and their average income is $42,000.
The required answer is the predicted sales in this city would be $335.52 million.
a. The sample regression equation is:
Sales = 10.32 + 8.10(Population) + 7.55(Income)
b-1. The coefficient of population (8.10) represents the change in sales (in $1,000,000s) for every additional one million women over the age of 60. In other words, if the population of women over 60 increases by 1 million, the sales of Strong Bones will increase by $8.10 million.
The regression analysis is a set of statistical processes of the relationship is dependent variable and one or more independent variables .In this find the line and the most closely fits the data. This is widely used for the predication or forecasting.
b-2. The coefficient of income (7.55) represents the change in sales (in $1,000,000s) for every additional $1,000 increase in the average income of women over the age of 60. So, if the average income of women over 60 increases by $1,000, the sales of Strong Bones will increase by $7.55 million.
c. To predict sales if a city has 1.0 million women over the age of 60 and their average income is $42,000, substitute the given values into the regression equation:
Sales = 10.32 + 8.10(1) + 7.55(42)
Sales = 10.32 + 8.10 + 317.10
Sales = 335.52
The predicted sales in this city would be $335.52 million.
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The price of a video game at Game Word has increased from $36 to $45 each. What was the percent change?
Step-by-step explanation:
price difference= $45-$36
=$9
now,
x% of $45=$9
or, x/100 ×45 =9
or, x/20 ×9=9
or, x/20=1
therefore, x= 20%
Statistical analyses are least likely to be found in a. applied research b. basic research c. field research d. qualitative research
Statistical analyses are least likely to be found in a (D) qualitative research.
What is qualitative research?Data from first-hand observation, interviews, questionnaires (on which participants write descriptively), focus groups, participant-observation, recordings recorded in natural settings, documents, case studies, and artifacts are used in qualitative research. The information is mostly nonnumerical. Ethnography, grounded theory, discourse analysis, and interpretative phenomenological analysis are examples of qualitative approaches. Sociology, anthropology, political science, psychology, social work, and educational research have all used qualitative research methods. Qualitative researchers investigate people's perceptions of their social reality.A qualitative study is unlikely to contain statistical analyses.Therefore, statistical analyses are least likely to be found in a (D) qualitative research.
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Cameron collects old books, and they convinced their friend Kenji to start collecting as well. Every month, they go to the store together, and they each buy a book. This table shows how many books they each have: Month 1 11 2 22 3 33 4 44 Kenji 1 11 2 22 3 33 4 44 Cameron 12 1212 13 1313 14 1414 15 1515 They both want an equation they can use to find how many books Cameron will have ( � cc) when Kenji has � kk books. Complete their equation. � = c=c, equals
The linear equation that describe the relationship between the book collection by Cameron, c and Kenji, c each month is represented as c = k - 11.
Linear equations are defined as the equations of degree one. It is represents equation for the straight line. The standard form of linear equation is written as, ax + by + c = 0, where a ≠ 0 and b ≠ 0. We have specify that Cameron collects and his friend Kenji start collecting the old books. The above table figure which contains data of books collected by both in different months. We have to determine the equation many books Cameron will have (c) when Kenji has k books. Let c and k denotes the books collected by Cameron and Kenji respectively. We see there is always increase in old book collection by one in case of both of them (Cameron and Kenji) each month. So, there exits a linear equation. Also, from the table, the Kenji's book collection is always 11 units less from Cameron's book collection. So, the required equation is written by c = k - 11 for each month. Hence, the required equation is equal to c = k - 11.
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Complete question:
The above figure complete the question.
Cameron collects old books, and they convinced their friend Kenji to start collecting as well. Every month, they go to the store together, and they each buy a book. This table shows how many books they each have: They both want an equation they can use to find how many books Cameron will have (c) when Kenji has k books. Complete their equation.
Answer:
c=k+11
Step-by-step explanation:
Find the midpoint of A (-8,-1) and B (4,3)?
Hi, your midpoint is (-2, 1). Hope this helps, have a great day and please mark me brainliest:)
One person can complete a typing project in 6 hours, and another can complete the same project in 9 hours. How long will it take the two people working together to complete the project?
Answer:
3.6 hours
Step-by-step explanation:
One person can complete a typing project in 6 hours,
Hence, in 1 hour, 1/6 of the project is completed by person A
Another can complete the same project in 9 hours.
Hence, in 1 hour, 1/9 of the project is completed by person B
Let the number of hours of completing the project be represented by 1
Hence,
x/6 + x/9 = 1
We find the L.C.M
9x + 6x/54= 1
15x/54 = 1
Cross Multiply
15x = 54
x = 54/15
x = 3.6 hours.
Therefore, both people can complete the project in 3.6 hours.
Marta is buying 7 tickets from Ticket Buy at $13.79 each. If the broker charges $2.50 handling per ticket and $9.00 shipping, how
much is her total cost?
A)$123 03
B)$96.53
C)$177.03
D)$159.53
Answer:
123.03
Step-by-step explanation:
96.53+17.5+9=
Explain why the exponents cannot be added in the product 12^3 x 11^3?? I need a simple answer that won’t be confusing pls.
Answer:
The bases aren't the same
Step-by-step explanation:
If the bases are the same, then their exponents are added. In this case, since the exponents are the same, then 12^3*11^3=(12*11)^3=132^3=2299968