Answer:
√104.
Step-by-step explanation:
To find the distance between two points (x1, y1) and (x2, y2) in a coordinate plane, we can use the distance formula:
d = √((x2 - x1)² + (y2 - y1)²)
So, for the given points (5, -4) and (3, 6), the distance is:
d = √((3 - 5)² + (6 - (-4))²)
d = √((-2)² + (10)²)
d = √(4 + 100)
d = √104
Therefore, the distance between the two points (5, -4) and (3, 6) is √104.
help me with this question and find f8
Answer:
f(8) = - 1
Step-by-step explanation:
f(8) has x = 8 which is in the interval x > 0 , then f(x) = - 1 , so
f(8) = - 1
0.15 | 0.3 | 1 | 2 | 2.7 | 5.4 | 6.4 | ? | ?
A 12.2, 12.9
B 9.5, 13.6
C 7.1, 8.6
D 6.8, 7.5
The next two numbers on the number pattern will be 12.2, 12.9 the correct option is A
How to obtain the next two points on the number pattern?To obtain the next two points on the number pattern, first we must identify what is the meaning of pattern.
The pattern is given as follows;
The double of an amount is calculated.
Now 0.7 is increased to double the amount, and we return to step 1, doubling the value.
The final term is 6.1, which is obtained after the addition of 0.7 to 5.4. Double 6.1 is obtained multiplying the number by 2, as follows;
2 x 6.1 = 12.2.
Then the number obtained after 0.7 is added to 12.2 is given as follows;
0.7 + 12.2 = 12.9.
It implies that the correct answer of the given number pattern is 12.2, 12.9
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Let A and B be sets, where:
A = {3, 6, 8}
B = {0, 2, 4, 5, 9}
The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.6 minutes and a standard deviation of 3.2 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway.
A button hyperlink to the SALT program that reads: Use SALT.
(a) What is the probability that for 34 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.)
(b) What is the probability that for 34 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.)
(c) What is the probability that for 34 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.)
The probabilities regarding the total time of the 34 jets are given as follows:
a) Less than 320 minutes: 0.9306 = 93.06%.
b) More than 275 minutes: 0.8238 = 82.38%.
c) Between 275 and 320 minutes: 0.7544 = 75.44%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, for a total of n observations, the mean is of [tex]n\mu[/tex], while the standard deviation is of [tex]\sigma\sqrt{n}[/tex]The mean and the standard deviation for the total time of the 34 jets is given as follows:
[tex]\mu = 8.6 \times 34 = 292.4[/tex][tex]\sigma = 3.2\sqrt{34} = 18.66[/tex]The probability that the mean is less than 320 minutes is the p-value of Z when X = 320, hence:
Z = (320 - 292.4)/18.66
Z = 1.48
Z = 1.48 has a p-value of 0.9306.
The probability that the mean is more than 275 minutes is one subtracted by the p-value of Z when X = 275, hence:
Z = (275 - 292.4)/18.66
Z = -0.93
Z = -0.93 has a p-value of 0.1762.
1 - 0.1762 = 0.8238.
The probability of a value between these two amounts is given as follows:
0.9306 - 0.1762 = 0.7544.
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Solve the system by substitution.
y= −6x −2x−y= 16
Using substitution method to solve the system of linear equations, the value of x and y are 4 and -24 respectively.
What is system of linear equationA system of linear equations is a set of two or more linear equations that contain two or more variables. The goal of solving a system of linear equations is to find the values of the variables that satisfy all of the equations in the system simultaneously. Linear equations are equations that can be written in the form of ax + by = c, where a, b, c, x and y are constants.
In this problem, the equations are
y = -6x ...eq(i)-2x - y = 16 ...eq(ii)Using substitution method;
Put the value y in eq(i) into eq(ii)
-2x - (-6x) = 16
-2x + 6x = 16
4x = 16
x = 4
Put x = 4 into equ(i)
y = -6(4)
y = -24
The value of x and y are 4 and -24
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1. The average man takes 7,912 steps a day. Using scientific notation, estimate the number of steps the average man takes in 1 week. A. 5.5 x 104 B. 5.5 X 105 7.9 x 10³ 7.9 x 104 C. D.
Answer:To estimate the number of steps the average man takes in 1 week, we can multiply the number of steps per day by the number of days in a week.
A week has 7 days so the number of steps the average man takes in a week would be 7,912 steps/day * 7 days/week = 55,384 steps/week
So the correct answer for the number of steps the average man takes in one week is 55,384 steps/week or in scientific notation is 5.5 x 10^4. So the answer is D. 7.9 x 10^4
Step-by-step explanation:
Answer:
A: 5.5*10⁴
Step-by-step explanation:
1 week = 7 days
7 * 7912 = 55384 steps/week
Scientifin notation:
55384 =
5538.4*10¹
553.84*10²
55.384*10³
5.5384*10⁴
Then:
the answer is:
5.5*10⁴
factor: x^2 -x -2
plssss
Answer:
(x+1)(x-2)
Step-by-step explanation:
[tex](x+1)(x-2)=x^{2} -x-2[/tex]
Hope this helps
What is the amplitude of the sinusoidal function
Answer: 3
Step-by-step explanation:
The vertical distance between the sinusoidal axis and the maximum or minimum value of the function.
Trust
The results of a survey of students showed that 53 students had a Netflix account, 46 students had a Hulu account and 87 students had a Netflix or a Hulu account. How many students had both a Netflix and Hulu account? Show how you got your answer either by drawing a Venn diagram or by showing the math.
Answer:
12 students
Step-by-step explanation:
The number of students surveyed: 53 + 46 = 99 students
The number of student having both: 99 - 87 = 12 students
Luke can dig a hole in four days and his friend Steve can dig it in five days how long will it take them to dig the hole together
Answer:
2 [tex]\frac{2}{9}[/tex] days
Step-by-step explanation:
Let d = the number of days.
[tex]\frac{1}{4}[/tex] d = [tex]\frac{1}{5}[/tex]d = 1
[tex]\frac{5}{20}[/tex] d + [tex]\frac{4}{20}[/tex] d = 1
[tex]\frac{9}{20}[/tex] d = 1 Multiply both sides by [tex]\frac{20}{9}[/tex]
([tex]\frac{20}{9}[/tex])([tex]\frac{9}{20}[/tex]) d = 1([tex]\frac{20}{9}[/tex])
d = [tex]\frac{20}{9}[/tex] I can break 20 into 9 + 9 + 2
d = [tex]\frac{9}{9}[/tex] + [tex]\frac{9}{9}[/tex] + [tex]\frac{2}{9}[/tex] [tex]\frac{9}{9}[/tex] = 1
d = 1 + 1 + [tex]\frac{2}{9}[/tex]
d = 2 [tex]\frac{2}{9}[/tex]
You manage an ice cream factory that makes two flavors: Creamy Vanilla and Continental Mocha. Into each quart of Creamy Vanilla go 2 eggs and 3 cups of cream. Into each quart of Continental Mocha go 1 egg and 3 cups of cream. You have in stock 500 eggs and 1,050 cups of cream. How many quarts of each flavor should you make in order to use up all the eggs and cream?
Creamy Vanilla
qt
Continental Mocha
qt
If I manage an ice cream factory that makes two flavors: Creamy Vanilla and Continental Mocha. Into each quart of Creamy Vanilla go 2 eggs and 3 cups of cream. Into each quart of Continental Mocha go 1 egg and 3 cups of cream. Where I have in stock 500 eggs and 1,050 cups of cream. The number of quarts of each flavor that I would make in order to use up all the eggs and cream is: 150 quarts of Vanilla and 200 Quarts of Mocha.
Let x and y be the number of Quarts of Vanilla and Mocha respectively.
The total number of eggs used is given as:
2x+y = 500
And the total cups of cream is:
3x + 3y = 1050
Removing the second equation from three times the first, we get:
3(2x + y) - (3x + 3y) = 3(500) -1050
6x + 3y - 3x - 3y = 1500 - 1050
⇒ 3x = 450
⇒ x = 450/3
x = 150
By substituting x back in tot he first equation we find:
2x+y = 500
2 (150) + y = 500
300 + y = 500
y = 500 - 300
y = 200.
Thus, to use up al the eggs and cream, 150 quarts of Vanilla and 200 quarts of Mocha should be produced.
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Which of the following is a logarithmic function?
Oy=log, X
Oy=3*
Oy=x+3
O y=x³
y = log (x)
Step-by-step explanation:Logarithmic functions are the inverse of exponential functions. Logarithmic is usually shortened to log.
Logarithmic Operation
Logarithmic functions help solve exponential equations. For example, the exponential function: bˣ = a, could be difficult to solve. To find x, we can use the log operation. By taking the log of both sides we can change this exponential function into a log function. In log form, the function becomes [tex]log_{b} (a)=x[/tex]. This is pronounced, "log-base b of a equals x." If you plug this into a calculator or use a different technique to solve, you can find x and solve the original exponential function.
Common Log and Natural Log
Although logarithmic functions can have any base, some are more frequent than others. One such base is base 10. If the base of the log is 10, then we do not write the 10, it is just implied. This log is called common log. The answer choice y = log (x) is common log. Another common base is Euler's constant, e. Log with the base of e is called natural log. Natural log is written as ln (x).
Suppose f(x) = x² − 2x³ + ax²+x+3, where a is a constant. If f(3) = 2, then
what is a?
Answer:
a = [tex]\frac{41}{9}[/tex]
Step-by-step explanation:
Evaluate f(3):
f(3) = (3)² -2(3)³ + a(3)² +3 +3
9a - 39 = 2
9a = 41
a = [tex]\frac{41}{9}[/tex]
The product of 12 and a number and then the product multiplied by itself 7 times
The product of 12 and a number and then the product multiplied by itself 7 times is (12n)^7.
What is an algebraic expression?In Mathematics, an algebraic expression is a mathematical equation that can be used for showing the relationship which exist between two (2) or more variables, numerical quantities, as well as in conjunction with different mathematical operations.
Additionally, a coefficient simply refers to a constant numerical value (number or numeral) that written before the variable in any algebraic expression.
Assuming the variable n represents the unknown numerical value (number), we would translate the word problem into an algebraic expression as follows;
The product of 12 and a number = 12 × n = 12n
Since the product is multiplied by itself 7 times, we have the following algebraic expression;
Algebraic expression = (12n)^7
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You go to the mall to buy some new shoes. You have a coupon for $25 off the price of a pair of
shoes. When you arrive at the store, you find out that the shoes are on sale for 25% off. If
c(x) = x - 25 represents the cost of the shoes with your coupon and s(x) = 0.75x is the cost
of shoes after the markdown, which of the following composition functions represents receiving
the sale price of the shoes and then applying the coupon?
Answer:
50%
Step-by-step explanation:
25%+25%
The composition functions represents receiving the sale price of the shoes and then applying the coupon is c(s(x))= 0.75x-25.
Given that, c(x) = x - 25 represents the cost of the shoes with your coupon and s(x) = 0.75x is the cost of shoes after the markdown.
Here, the composition function is
c(s(x))= 0.75x-25
Therefore, the composition functions represents receiving the sale price of the shoes and then applying the coupon is c(s(x))= 0.75x-25.
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1. (5 + 3i)(2 - 2i)
2. (3 + 2i)2
Solve for x:
3. x2 = 36
4. 2x2 - 80 = 120
Pls help with showing work
For all problems
Which option is most similar in relation to the following word pair water:ocean
Water and ocean are two closely related words, as the ocean is the largest source of water on the planet.
Which option is most similar in relation to the following word pair water:ocean?Water is essential to life, and the ocean is the planet's largest reservoir of water.It covers over 70 percent of Earth's surface and contains 97 percent of the world's water. Water and ocean are linked in many ways.The ocean produces more than half of the oxygen in the atmosphere, and the ocean's currents and tides help regulate the climate.Water from the ocean evaporates into the atmosphere, eventually returning as rain, snow, and hail and replenishing the planet's fresh water supply.The ocean is home to a variety of organisms and species that rely on the water for their survival, as well as other resources such as food and shelter.Additionally, the ocean is an important source for human activities such as fishing, transportation, and recreation.In short, water and ocean are inextricably linked, and their relationship is essential to the health of the planet.To learn more about word pair water:ocean refer to:
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(−3⋅10 3 )⋅(4⋅10 6 )=
Answers:
A. -12x10^9
B. -12x10^3
C. 12x10^3
D. 12x10^9
Answer:
A
Step-by-step explanation:
-3 x 4 = -12
[tex]10^{3}[/tex] x [tex]10^{6}[/tex] = [tex]10^{9}[/tex] You add the exponents when you are multiplying powers with the same bases.
in the fruit bowl that are 10 times. 5 peachse and 2 mangoes select the correct choice from the drop down
The probability of randomly picking a peach from from the fruit bowl is 29 %
How to find the probability ?To find the probability of picking a peach from the fruit bowl at random, you first need to sum up the number of fruit :
= 10 Limes + 5 peaches + 2 mangoes
= 17 fruit
The probability of picking a peach from the fruit bowl can then be found to be :
= Number of peaches in fruit basket / Number of fruit in the fruit basket
= 5 / 17
= 29 %
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The rest of the question is:
The probability of randomly picking a peach from from the fruit bowl is _________.
29%14%52%32%What is the slope for the graph?
A: -5
B: -1/2
C:2
D: -1/5
Answer:
Step-by-step explanation:
Since we are given two points in the graph, we can use the slope equation shown below:
(y2-y1)/(x2-x1)
reading the graph left from right (1,11) will be the first point and (3,1) the second. plug in and solve!
(1-11)/(3-1) = -10/2 = -5
The slope is -5
a negative slope makes sense since the graph is leaving the first quadrant.
hope this helps!
Answer: A) -5. Graph slope.
Step-by-step explanation:
The formula to calculate the slope of the line is:
[tex]\boldsymbol{\sf{m=\dfrac{\Delta y}{\Delta x} \iff m=\dfrac{x_2-x_1}{y_2-y_1} }}[/tex]
We have that the points are:
A (x₁, y₁) = 1, 11B (x₂, y₂) = 3,1We substitute these points in the previous formula and solve:
[tex]\boldsymbol{\sf{m=\dfrac{x_2-x_1}{y_2-y_1} }}\\ \\ \\ \boldsymbol{\sf{m=\dfrac{1-11 }{3-1} }}\\ \\ \\ \boldsymbol{\sf{m=\dfrac{-10}{5} }}\\ \\ \\ \boxed{\boldsymbol{\sf{m=-5}}}[/tex]
To learn at https://brainly.com/question/14295592At best buy, 7 packs of Pokemon cards cost $28. At amazon, you can buy 12 packs for $38. which is the better buy per pack?
Answer:
amazon
Step-by-step explanation:
let's find the price per pack to solve
best buy:
7 packs = 28 dollars
divide both sides by 7 to get 1 pack = something
1 pack = 4 dollars
amazon:
12 packs = 38 dollars
divide both sides by 12 to get 1 pack = something
1 pack = 38/12 dollars = 3.16666666667 dollars which is less than 4 dollars, so amazon is cheaper in terms of price per pack
30 POINTS PLEASE I NEED THE ANSWER NOW!!!!!!!
A system of equations is given.
−2y = 10 − 5x
−3y = −4x +15
Solve for (x, y) using the elimination method.
Answer: The value of x is 0 and y is -5 using the elimination method.
Step-by-step explanation: To use the elimination method, we will remove one variable and find the value of the other one. Rewriting the equation -
-2y + 5x = 10 : equation 1
-3y + 4x = 15 : equation 2
Multiplying equation 1 with 4 and equation 2 with 5
-8y + 20x = 40 : equation 3
-15y + 20x = 75 : equation 4
Subtracting equation 3 from equation 4 to eliminate variable y
-7y = 35
y = - 35/7
y = -5
Keep the value of y in Equation 1 to find the value of x
-2(-5) + 5x = 10
10 + 5x = 10
5x = 10 - 10 5x = 0
x = 0
So, the value of x is 0 and y is -5.
Answer:5=y
Step-by-step explanation:
10 − 5x=−2y
15 − 4x =−3y
• (10 − 5x=−2y)4
(40 - 20x=−8y)
15 − 4x =−3y
(15 − 4x =−3y)5
(75 - 20x=−15y)
• (75 - 20x=−15y)
• (40 - 20x=−8y)
• 35 =-7y
• 35/7=y
• 5=y
A group of students was surveyed in a middle school class. They were asked how many hours they work on math homework each week. The results from the survey were recorded.
Number of Hours | Total Number of Students
0 | 1
1 | 3
2 | 2
3 | 10
4 | 9
5 | 7
6 | 3
Determine the probability that a student studied for exactly 4 hours. Round to the nearest hundredth.
A. 0.74
B. 0.35
C. 0.26
D. 0.11
Answer:
Step-by-step explanation:
24242424242424242424242424242424 wkakjksjajk nmgjkjksjkfjskjfdkcololecti
Answer:
0.35
Step-by-step explanation:
Help pleaseeee I can’t figure this out
Answer: B. Exponential decay
Step-by-step explanation:
An exponential function is a function of the form f(x) = ab^x where a and b are constants, x is the independent variable, and b is a positive number not equal to 1. In this case, f(x) = -3(4^x). The base of the exponential function is 4, and it is a common base of exponential decay, because the base is less than 1, and the exponent is positive, this means that the output of the function will decrease as the input increases. Therefore, the function represented by f(x) = -3(4^x) is an exponential decay function.
Answer:
Exponential Decay
Step-by-step explanation:
In mathematics, exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula y=a(1-b)x wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed
Substitute the given value into the function and evaluate.
f(x)= -3⋅4^x/8
A child uses her hand to measure the width of a tabletop. Her hand has a width of 8.3 cm at its widest point, and she finds the tabletop to be 15.5 hands wide.
The width of the table top is 132 cm and 1.32 in metres.
What is width?The shorter distance of an object or a figure is its width, which indicates how broad or wide the given figure is. Additionally, width is measured in linear units such as metres, centimetres, inches, and so forth.
Length: Length is used to calculate the separation between two points. The longest dimension of a figure, length, indicates how long an object or figure is. It is measured in linear units like metres, centimetres, inches, and so forth.
Width of hand = 8cm
No of hands = 16.5 hands
Width of tabletop = Width of hand * No. of hands = 8cm × 16.5 = 132cm = 1.32m
The width of the table top is 132 cm and 1.32 in metres
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How would you do this problem on a ti-84 calculator? Or could you do this by hand and get the answer.
The answer is supposed to be -64/17, but I don't know how to get that answer.
Step-by-step explanation:
(R○R)(x) = (5 - 2((5 - 2x)/x))/((5 - 2x)/x)
we simply put the original R function into the places of x.
so,
(R○R)(-6) = (5 - 2((5 - 2×-6)/-6))/((5 - 2×-6)/-6) =
= (5 - 2((5 + 12)/-6))/((5 + 12)/-6) =
= (5 - 2×17/-6)/(17/-6) =
= (5 + 17/3)/(17/-6) = (15/3 + 17/3)/(17/-6) =
= 32/3 / 17/-6 = -6×32 / (3×17) =
= -2×32 / 17 = -64/17
Answer:
-64/17
Step-by-step explanation:
Same person here who answered previous question.
(R · R)(-6)
This basically means R(R(-6))
Now, R(-6) = (5 + 12)/-6 = -17/6
Put that value again, in (5 - 2x)/x = (5 + 34/6)/(-17/6)
= (64/6)/(-17/6) = -64/17
So, the answer is correct.
If you have any questions, please leave a comment.
Otherwise, cheers
Change the fraction 7/12 to a decimal. Round to the nearest thousandth.
The answer to this question is 0.583
Right triangle ghi, shown in the coordinate plane below, is rotated 180 degrees clockwise about the origin and then dilated by a factor of 3, centered at the origin forming a new triangle g’h’i’. What is the area of the new triangle g’h’i’?
The area of the new triangle g’h’i’ is 9.
Describe area of triangle?The area of a triangle is a measure of the size of the triangle, calculated as the amount of space enclosed by its three sides. It can be calculated using the following formula:
Area = (base x height) / 2
where base is the length of one side of the triangle, and height is the perpendicular distance from the base to the opposite vertex.
If a triangle is rotated 180 degrees about the origin, its coordinates will change signs. If it is then dilated by a factor of 3, its coordinates will be multiplied by 3. The new triangle g'h'i' will have the following coordinates: g' (-3,0), h' (0,3), and i' (0,-3).
The height of the new triangle will be the absolute value of the difference between its y-coordinates: h = |3 - (-3)| = 6. The base of the triangle will be the absolute value of the difference between its x-coordinates: b = |-3 - 0| = 3.
Therefore, the area of the new triangle g'h'i' is: A = (1/2)bh = (1/2)(3)(6) = 9.
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The cost of 3 dozen oranges is rupee 54 how many oranges can be purchased for rupee 24 ?
Can you explain the steps plsss it’s for my assignment
Answer:
You can buy 17 oranges for rupee 24.
Step-by-step explanation:
3 dozen = 3 x 12 = 39 oranges
54 ÷ 39 = 1.38461538462
1 orange = rupee 1.38
1.38461538462 x 17 = 23.5384615385
17 oranges = rupee 23.54
If you add the cost of 1 more orange it would cost more than rupee 24 so you can only buy 17 oranges for rupee 24.
Hope this helps :)
The stopping distance , D, of a car after the brakes are applied varies directly as the square of the speed , S, of the car. If a car traveling at a speed of 36 miles per hour can stop in 53 feet, what is the stopping distance of a car traveling at 70 miles per hour? Round your answer to the nearest foot.
Answer: There is no way 200 is the answer. it should be 103.055
Step-by-step explanation: See, 36 miles can stop in 53 feet. We want to know how many feet are there when 70 miles fast. We can write that as 36/53 = 70/x. 36 corresponds to 70 and 53 corresponds to x. Do it and you get 103.055
