Answer:
(x + 3)² + (y - 7)² = 2²
Step-by-step explanation:
Equation of a circle is (x - a)² + (y - b)² = r²,
where a is the x-coordinate of the centre of the circle, b is the y-coordinate of the centre of the circle, r is the circle's radius.
centre of the circle is at (-3,7).
the radius is 2.
so our equation is Equation of a circle is (x - -3)² + (y - 7)² = 2²
(x + 3)² + (y - 7)² = 2²
the absolute threshold is defined as the minimum ____.
The absolute threshold is defined as the minimum detectable stimulus or intensity.
The absolute threshold refers to the minimum amount or level of a stimulus that is required for it to be detected or perceived by an individual. It is the point at which a stimulus becomes perceptible or noticeable to a person.
In sensory psychology, the absolute threshold is typically measured in terms of the lowest intensity or magnitude of a stimulus that can be detected accurately by a person at least 50% of the time. It represents the boundary between the absence of perception and the presence of perception.
The absolute threshold can vary depending on the sensory modality being tested. For example, in vision, it may refer to the minimum amount of light required for a person to see an object. In hearing, it may represent the minimum sound intensity needed for an individual to hear a tone.
Several factors can influence the absolute threshold, including individual differences, physiological factors, and the nature of the stimulus itself. Factors such as sensory acuity, attention, fatigue, and background noise can all affect an individual's ability to detect a stimulus.
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Find the measure of angle c
A recycling plant recycled 4.9 kg of paper and cardboard the first hour and 7.8 kg/h
afterwards. The plant runs for 8 hours. What is the range of the function?
Answer: R = {0kg, 59.5kg}
Step-by-step explanation:
When we have a function f(x) = y.
The set of the possible values of x is called the domain of the function, and the set of the possible values of y is called the range of the function,
In this case, we have that:
the plant recycled 4.9kg the first hour, and 7.8 kg per hour after.
So this function can be written as piecewise function, with one part for the first hour, and another part for the time after the first hour.
F(x) = 4.9kg*x if 0h < x ≤ 1h
F(x) = 4.9kg + 7.8kg/h*(x -1) if x ≥ 1h
We use (x - 1) for the second part because if x = 1 h, we must have the same result in both parts of the function.
Where x is the number of hours.
And we know that the domain is (0hours, 8 hours)
Then the minimum value of y will be:
F(0h) = 4.9kg*0h = 0kg.
And the maximum value in the range will be:
F(8h) = 4.9kg + 7.8kg*7 = 59.5kg
Then the range is:
R = {0kg, 59.5kg}
ill mark brainlist plss help
Answer:
Step-by-step explanation:
Height of model = 20 ft ⋅ (2 in)/(5 ft) = 8 in
Find (g o f) (x)
F(x)= x^2 - 7x + 14
g(x)= 4x-9
Answer:
i feel like kevin gates i dont get tired
Step-by-step explanation:
A company plans to scale it's logo and place it on a billboard so that drivers and pedestrians can see it easily from the ground the original logo is a square with sides of 1.25 inches after scaling the local must have a perimeter of 32 feet this action is called blank and the scale factor is blank
Answer:
enlargment and 6.4 feet per inch
Step-by-step explanation:
i got it right on mine
The blank words are:
Enlargement and 6.4.
What is a scale factor?The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).
Given:
A company plans to scale its logo and place it on a billboard so that drivers and pedestrians can see it easily from the ground.
The original logo is a square with sides of 1.25 inches.
After scaling,
the local must have a perimeter of 32 feet.
This action is called enlargement,
and the scale factor is,
= (32/4) / 1.25
= 8 / 1.25
= 6.4.
Therefore, the scale factor is 6.4.
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A sample of 40 provided a sample mean of 26.2. the population standard deviation is 6. Find the value of the test statistic. (round your answer to two decimal places.) (b) find the p-value. (round your answer to four decimal places.) p-value
Answer:
a. 1.26
b. 0.1038
Step-by-step explanation:
The p-value is 1.0000 (rounded to four decimal places). This means that we fail to reject the null hypothesis, which in this case would be that the population mean is equal to the sample mean of 26.2.
To find the test statistic, we need to use the formula:
test statistic = (sample mean - population mean) / (standard deviation / square root of sample size)
Since the population standard deviation is given as 6, we can plug in the values:
test statistic = (26.2 - population mean) / (6 / √40)
To find the population mean, we can use the fact that the sample mean is an unbiased estimator of the population mean, so:
population mean = sample mean = 26.2
Plugging in the values, we get:
test statistic = (26.2 - 26.2) / (6 / √40) = 0
The test statistic is 0.
To find the p-value, we need to use a t-distribution table or calculator. Since we have a sample size of 40, we can use the t-distribution with 39 degrees of freedom.
Using a calculator or table, we can find that the area to the right of 0 (since the test statistic is 0) is 0.5. Since this is a two-tailed test, we need to double this value to get the p-value:
p-value = 2 * 0.5 = 1.0000
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f(x)=log5x what Is the range of the function
The range of the function f(x) = log5x is (-∞, +∞).The function f(x) = log5x represents the logarithm base 5 of x. To determine the range of this function, we need to consider the possible values that the logarithm can take.
The range of the logarithm function y = log5x consists of all real numbers. The logarithm function is defined for positive real numbers, and as x approaches 0 from the positive side, the logarithm approaches negative infinity. As x increases, the logarithm function approaches positive infinity.
The range of the function is the set of all possible output values. In this case, the range consists of all real numbers that can be obtained by evaluating the logarithm
log5(�)log 5 (x) for �>0 x>0.
Since the base of the logarithm is 5, the function log5x will take on all real values from negative infinity to positive infinity. Therefore, the range of the function f(x) = log5x is (-∞, +∞).
In other words, the function can output any real number, ranging from negative infinity to positive infinity. It does not have any restrictions on the possible values of its output.
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Answer: All real numbers
Step-by-step explanation:
Edge
23.69 x 14 multiple. Show work.
Answer:
373,66
Step-by-step explanation:
This is a great question
Step-by-step explanation:
23.69 * 14 = 331.66
First, multiply the number as usual. Then, count the decimal point position. You will see that it is two places, so you place your decimal two places to the left in your answer.
Of 100 random students surveyed, 42 own a dog, 34 own a cat, 15 own a dog and a cat, and 9 own neither a dog nor a cat. Based upon the results, how many of the next 20 students surveyed would you expect to own a dog and a cat?
In the next 20 students surveyed, you would expect 5 to own a dog and a cat
How many of the next 20 students surveyed would you expect to own a dog and a cat?From the question, we have the following parameters that can be used in our computation:
Dog = 42
Cat = 34
Dog and cat = 15
Neither = 9
This means that
P(Dog and cat) = 15/100
When evaluated, we have
P(Dog and cat) = 5/20
So, when the next 20 students surveyed, we have
Dog and cat = 5/20 * 20
Evaluate
Dog and cat = 5
Hence, the number of dogs and cats is 5
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In ΔABC, a= 270 inches, m∠C=164° and m∠A=8°. Find the length of c to the nearest 10th of an inch
Answer:
456.9 inches
Step-by-step explanation:
We can use the law of sines to find c:
c = (a / sin C) = (270 inches / sin 164°)
To find the sine of an angle in degrees, we can use a scientific calculator or a trigonometry table. Rounding to the nearest 10th of an inch, c = approximately 456.9 inches.
Answer: It's 534.7
Step-by-step explanation:
I sacrificed my chance of getting it right to see the answer. It's right That I guarantee. btw brainiest, please?
what is 18/5 as a terminating decimal (use long division)
Answer:
3.6
Step-by-step explanation:
sorry for the weird looking numbers, I used my mouse to write this
how long does it take the Earth to rotate around the sun
Answer:
365 days
Step-by-step explanation:
a complete orbit takes about 365.256 days but rouded it takes 365 days in other words one year.
Three blocks are shown:
Which statement is correct?
Block A has the greatest density.
Block B has the greatest density.
The density of Block A is equal to the density of Block B.
The density of Block B is equal to the density of Block C.
Answer:
The density of Block B is equal to the density of Block C.
Step-by-step explanation:
not sure tho ☝️
system reliability: a power utility can supply electricity to a city from n different power plants. power plant i fails with probability pi, independent of the others. (a) suppose that any one plant can produce enough electricity to supply the entire city. what is the probability that the city will experience a black-out? (b) suppose that two power plants are necessary to keep the city from a black-out. what is the probability that the city will experience a black-out?
a) pn.P(c) = p1 + p2 + p3 + ... + pn
b) P(c) = [p1 × p2] + [p1 × p3] + ... + [(n - 1)th power plant × nth power plant
a) Probability of city experiencing blackout. Probability of city experiencing blackout can be defined as: Probability of the first power plant failing, p1, plus the probability of the second power plant failing, p2, plus the probability of the third power plant failing, p3, and so on, up to probability of the nth power plant failing, pn.P(c) = p1 + p2 + p3 + ... + pn. The probability of experiencing a blackout in the city can be found by the equation mentioned above.
b) Probability of city experiencing blackout when two power plants fail. When two power plants are required to power the entire city, we can find the probability of experiencing a blackout by finding the probability of one plant failing and another one failing as well. P(c) = [p1 × p2] + [p1 × p3] + ... + [(n - 1)th power plant × nth power plant]Therefore, the probability that the city will experience a blackout is given by the formula above.
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PLEASE HELP ME THERE IS A PICTURE!!!!!!
Answer:
The third one.. :)
Step-by-step explanation:
Can I have brainliest, please? hee hee
YALLLL HELPPP PLEASEEEEE
Answer:
180-61=119
Step-by-step explanation:
help me pleaseeeeeeeeeeeeeeeeeeeeeeeee!!!!
Answer:
39 is sydney age
39 +39 is 78 and they said two times
A party-favor bag must have a volume of 140 cubic inches and the dimensions that are shown below. The equation x cubed + 6 x squared minus 27 x = 140 can be used to find x. A bag has a height of x + 9 inches, a width of x minus 3 inches, and a length of x inches. What are the dimensions of the party-favor bag? Use a graphing calculator and a system of equations to find the answer.
Answer:
The dimensions of the the party favor bag are;
Height = 14 inches
Width = 2 inches
Length = 5 inches
Step-by-step explanation:
The given parameters are;
x³ + 6·x² - 27·x = 140
The dimensions of the party-favor bag are;
Height = (x + 9) inches
Width = (x - 3) inches
Length = x inches
The given equation can be rewritten as follows;
x³ + 6·x² - 27·x - 140 = 0
Using an online application, we have;
x³ + 6·x² - 27·x - 140 = 0 = (x + 4)·(x - 5)·(x + 7)
Therefore, x = -4, 5, or -7
Which gives x = 5, as the length of the party favor bag, x inches, cannot be negative;
Therefore, the dimensions of the the party favor bag are;
Height = (x + 9) inches = (5 + 9) inches = 14 inches
Width = (x - 3) inches = (5 - 3) inches = 2 inches
Length = x inches = 5 inches.
Answer:
Option B
Step-by-step explanation:
Edge 2021
Exponential form of 5670
Answer:
The exponent form of 5670 is 5.67 × 103.
Step-by-step explanation:
you can also use this
it's pretty easy
https://calculator.name/decimal-to-scientific-notation/5670
WAGES Mark has already earned money for mowing lawns over the summer when he takes a job at the local grocery store, earning $9.50 per hour. After working 16 hours at the grocery store, Mark has earned a total of $292. Write a linear equation to represent the amount of money m that Mark has earned this summer after working h hours at the grocery store.
The linear equation m = 9.50h + 140 represents the amount of money m earned by Mark in h hours while working at the grocery store in summer.
Mark earns $9.50 per hour while working at local grocery store
Total money earned by Mark after working for 16 hours is $292
As per the given condition, the points are (16, 292)
The slope of the linear equation is represented by $9.50
Hence, M = 9.5(16, 292)
Standard linear equation is given by
m = Mx + b … (1)
Substitute the values in the equation to get the values of b
292 = 9.5(16) + b
⇒ b = 292 - 152
⇒ b = 140
Substitute the values in the equation (1) again to get linear equation
⇒ m = 9.50h + 140
Hence, the linear equation is m = 9.50h + 140
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Moira is remodeling her kitchen. A rectangular kitchen has 12‘ x 18‘ of floor space. The floor tiles are 1/2‘ x 3/4‘. Each tile cost $0.75. How much will she pay for the tiles to cover her entire kitchen floor? 
Accοrding tο the given infοrmatiοn, Mοira will need tο pay $432 fοr the tiles tο cοver her entire kitchen flοοr.
What is area οf rectangle?The area οf a rectangle is the amοunt οf space enclοsed within the bοundary οf a rectangle. It is calculated by multiplying the length οf the rectangle by its width. If we denοte the length οf the rectangle by 'l' and its width by 'w', then the area οf the rectangle can be expressed as:
Area = length x width = l x w
Tο find οut hοw many tiles Mοira needs, we first need tο find the tοtal area οf her kitchen flοοr. We can dο this by multiplying the length and width οf the kitchen:
Area οf kitchen flοοr = length x width = 12' x 18' = 216 square feet.
Next, we need tο figure οut hοw many tiles will cοver this area. Tο dο this, we need tο divide the area οf the kitchen flοοr by the area οf each tile:
Area οf each tile = 1/2' x 3/4' = 3/8 square feet
Number οf tiles = (Area οf kitchen flοοr) / (Area οf each tile) = 216 / (3/8) = 576 tiles.
Finally, we can calculate the tοtal cοst οf the tiles by multiplying the number οf tiles by the cοst per tile:
Tοtal cοst οf tiles = (Number οf tiles) x (Cοst per tile) = 576 x $0.75 = $432.
Sο, Mοira will need tο pay $432 fοr the tiles tο cοver her entire kitchen
floor.
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Find the measure of the line segment CD. Assume that lines which appear tangent are tangent.
The value of the measure of the line segment CD is,
⇒ CD = 10
We have to given that;
In circle,
CD = 2 + x
BC = 8
AB = 12
Hence, We can formulate;
AB² = BD × CD
12² = (8 + 2 + x) × 8
144 = 8 (10 + x)
18 = 10 + x
x = 18 - 10
x = 8
Thus, The value of the measure of the line segment CD is,
⇒ CD = 2 + x = 2 + 8 = 10
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how can i simplify this?
Answer:u dont
Step-by-step explanation:
A survey was conducted in a group of 100 students of a school. The ratio of
students who like mathematics and computer is 3:5. If 30 of them like both
subjects and 10 of them like none of them, construct a Venn-diagram to find the
number of students who like
i. Mathematics only ii. computer only iii. at most one subject
"Given : a survey was conducted in a group of 100 students of a school. the ratio of students who like mathematics and computer is 3:5. if 30 of them like both subjects and 10 of them like none of them,
To Find : number of students who like: at most one subject.
Solution:
Mathematics = 3k
Computer = 5k
30 of them like both subjects
10 of them like none of them
Total = Math + Computer - Both + None
100 = 3k + 5k - 30 + 10
=> 120 = 8k
=> k = 15
Mathematics = 45
Computer = 75
Mathematics only = Mathematics - Both = 45 - 30 = 15
Computer only = Computer - Both =75 - 30 = 45
at most one subject = 100 - Both subjects 100 - 30 = 70
or none + computer only + Mathematics only = 10 + 45 + 15 = 70
70 Students like at most one subject"
ANSWER THIS WITHIN ONE HOUR OR ELSE I WILL BE DOOMED
mARKING BRAINLIEST
PS: FILL IN THE SHEET DONT JUST GIVE AN ANSWER
The prompt on fractions is given as follows:
1 ) (1/2) ÷ 4 = 1/8
2) ( 1/5) ÷ 2 = 1/10
3) (1/3) ÷ 5 = 1/15
4) (1/4) ÷ 4 = 1/16
5) The solution to the puzzle for (1/2) ÷ 3 is given below.
The calculations are given as follows;
1 )
= (1/2) x (1/4) [dividing by a number is the same as multiplying by its reciprocal]
= 1/8
2) (1/5) ÷ 2
= (1/5) x (1/2)
= 1/10
3)
(1/3) ÷ 5
= (1/3) x (1/5)
= 1/15
4) (1/4) ÷ 4
= (1/4) x (1/4)
= 1/16
5) Mary had 1/2 of a pie that she wanted to share with 3 of her friends. She decided to divide it equally among them. Each friend got 1/6 of the pie. To check, Mary multiplied 1/6 by 3 and got 1/2. This shows that (1/2)/3 equals 1/6, since dividing by 3 is the same as multiplying by its reciprocal, 1/3.
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f(x)= -4x^2+12x-9
What is the value of the discriminant of f?How many x-intercepts does the graph of f have?
Answer:
discriminant =b^2 -4ac
= (12)^2 -4(-4)(-9)
=0
pre algebra 8th grade math help
The constant of proportionality in table four is -1/3
Proportional RelationshipProportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".
In each of the table, we can check if proportionality exists.
In the first table, there's no proportionality.
In the second table, there's no proportionality
In the third table, there's no proportionality
In the fourth table, proportionality exist here which we can find the constant of proportionality.
When x = 6, y = -2
y = ax
a = constant of proportionality
-2 = a(6)
a = -1/3
The constant of proportionality is -1/3
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6÷3+9
2
−4=6, divided by, 3, plus, 9, squared, minus, 4, equals
Answer:
6÷3=2+9=11
11square == 22 22-4
18
the answer is 18
What
is
the
answer ?