The linear equation that shows the relationship between y and x is y = x - 5
What is an equation?An equation is an expression that shows how numbers and variables are linked together using mathematical operations such as addition, subtraction, multiplication and division.
The slope intercept form of an equation is:
y = mx + b
where m is the rate of change and b is the y intercept.
From the values given, using (1, -4) and (2, -3):
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\substituting:\\\\y-(-4)=\frac{-3-(-4)}{2-1} (x-1)\\\\y=x - 1-4\\\\y=x-5[/tex]
The linear equation is y = x - 5
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4. John and Mitchell are buying snack from the break cart at school. John bought 2 bags of chips and 3
candy bars for $8.50. Mitchell bought 4 bags of chips and 2 candy bars for $11. How much did each item
cost?
Define your variables. x =
Write a system of equations.
Solve using any method.
y=_
3/5 divided by 4/7 id ont get this can so,eome help
The expression which is equivalent to the given expression 3/5 divided by 4/7 is given by option d. 3/5 multiply 7/4.
The expression which is equivalent to the expression 3/5 divided by 4/7 is:
3/5 divided by 4/7 can be expressed as
= ( 3 / 5 ) ÷ ( 4 / 7 )
Convert division sign into multiplication sign we get,
= ( 3 / 5 ) × [ 1 / ( 4 / 7 ) ]
= ( 3 / 5 ) × ( 7 / 4 )
= 3/5 multiply 7/4
Therefore, the correct way of representing the expression 3/5 divided by 4/7 is equivalent to option d. 3/5 multiply 7/4.
The above question is incomplete, the complete question is:
Which of these expression is the same as 3/5 divided by 4/7?
a 3/5 divided 7/4
b 4/7 divided 3/5
c 3/5 multiply 4/7
d 3/5 multiply 7/4
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sean gets an average of 20 calls during his 8 hour work day. what is the probability that sean will get at most 9 calls in a 4 hour portion of his work day? round the final answer to three decimal places.
The probability that Sean will get at most 9 calls in a 4 hour portion of his work day is 0.037.
The probability that Sean will get at most 9 calls in a 4 hour portion of his work day can be calculated by using the Poisson distribution formula. The formula is [tex]P(x)=e^-μ(μ^x/x!)[/tex].
In this case, μ = 20/4 = 5.
Therefore, [tex]P(x=9) = e^-5(5^9/9!) = 0.037[/tex]
Rounding the answer to three decimal places, the probability that Sean will get at most 9 calls in a 4 hour portion of his work day is 0.037.
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(PLEASE HELP ME ASAP THIS IS DUE TODAY)
An image of a parallelogram is shown.
A parallelogram with a base of 22 and one-half feet and a height of 19 and one-fourth feet.
What is the area of the parallelogram?
423 1/2 ft
427 1/2 ft
433 1/8 ft
455 1/8 ft
Answer:
433 1/8ft
Step-by-step explanation:
this is my answer
An employee records the number of minutes it takes each team to complete the escape room this week the dot plot shows the data. how amny teams completed the escape room this week
Total 21 teams completed the escape room this week.
An employee records the number of minutes it takes each team to complete the escape room this week the dot plot shows the data.
To determine how many teams completed the escape room this week we use the dot plot.
From the dot plot we can see that at 41 min have one found one employee escape from room.
At 44 min have one found 3 employee escape from room.
At 45 min have one found 2 employee escape from room.
At 46 min have one found 4 employee escape from room.
At 47 min have one found 5 employee escape from room.
At 48 min have one found 3 employee escape from room.
At 49 min have one found 2 employee escape from room.
At 50 min have one found one employee escape from room.
Team completed the escape room this week = 1 + 3 + 2 + 4 + 5 + 3 + 2 + 1
Team completed the escape room this week = 21
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Answer:21 i got it correct
Step-by-step explanation:
Convert the Senary (base 6 number 54724 to decimal
Answer: To convert a Senary (base 6) number to decimal, we can use the following formula:
Decimal = (5 * 6^4) + (4 * 6^3) + (7 * 6^2) + (2 * 6^1) + (5 * 6^0)
= (5 * 1296) + (4 * 216) + (7 * 36) + (2 * 6) + (5 * 1)
= 6480 + 864 + 252 + 12 + 5
= 7603
So the Senary (base 6) number 54724 is equivalent to the decimal number 7603.
Step-by-step explanation:
philips metal costs $14.50 at the local restaurant. the server did their job very well and philip would like to leave a 20% tip. what amount of money should he leave as a tip?
Answer: The tip is $2.90
Step-by-step explanation: 20% of 14.50 is 2.9
i need help guysss
schoology
Solving an equation we will see that the measure of angle a is 68°.
How to find the measure of the missing angle?We want to find the measure of angle a. On the image we can see that we have 3 angles, and the sum of these 3 angles should be equal to 180°, then we can write the equation:
28° + 90° + a = 180°
(the 90° angle is the one with the square).
Solving that equation for a, we will get:
a = 180° - 90° - 28°
a = 90° - 28°
a = 62°
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a group of 100 people contains 60 democrats and 35 republicans. if there are 60 women and 40 of the democrats are women, what is the probability that a person selected at random is a democrat or a woman?
The probability of selecting a person who is either a Democrat or a woman is 0.8, or 80%.
Probability is a branch of mathematics that deals with the study of random events. It is used to predict the likelihood of an event occurring.
Let's start by finding the probability of selecting a Democrat. We are given that there are 60 Democrats in the group of 100 people. Therefore, the probability of selecting a Democrat at random is:
P(Democrat) = 60/100 = 0.6
Next, let's find the probability of selecting a woman. We are given that there are 60 women in the group of 100 people. Therefore, the probability of selecting a woman at random is:
P(Woman) = 60/100 = 0.6
Now, we need to find the probability of selecting both a Democrat and a woman. We are given that 40 of the Democrats are women. Therefore, the probability of selecting a woman who is also a Democrat is:
P(Democrat and Woman) = 40/100 = 0.4
To find the probability of selecting a person who is either a Democrat or a woman, we add the probabilities of selecting a Democrat and selecting a woman, and then subtract the probability of selecting both a Democrat and a woman. Therefore, the probability of selecting a person who is either a Democrat or a woman is:
P(Democrat or Woman) = P(Democrat) + P(Woman) - P(Democrat and Woman)
= 0.6 + 0.6 - 0.4
= 0.8
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From a position 3.5 m above ground level in a building, an an observer measures the angle of elevation of the top of a flagpole to be 48°, and the angle of depression of the foot of the flagpole to be 35°.
How far away from the building is the flagpole?
Answer:
2.73 meters away from the building.
Step-by-step explanation:
To find the distance from the building to the flagpole, we can use the tangent function. Let's call the distance from the building to the flagpole "d".
The tangent of the angle of elevation is equal to the height of the flagpole (h) divided by the distance from the building to the flagpole (d):
tan 48° = h / d
The tangent of the angle of depression is equal to the distance from the building to the flagpole (d) divided by the height of the observer (3.5 m):
tan 35° = d / 3.5
We can use these two equations to find the value of d. Solving the first equation for h:
h = tan 48° * d
And substituting that into the second equation:
tan 35° = d / (tan 48° * d / 3.5)
Solving for d:
d = 3.5 * tan 35° / tan 48°
Using a calculator, we can find that:
d = 3.5 * tan 35° / tan 48° = 3.5 * 1.3602668 / 1.7415198 = 2.73 m
So the flagpole is 2.73 meters away from the building.
8. On the graph below, plot the points (-6,-6) and (6, 6). Find the distance
between the two points.
Answer:
You are correct it is 12.
Step-by-step explanation:
Answer: Square root of 288, or estimated 16.97
Step-by-step explanation:
Conveniently, the points form a diagonal line as you show, so we can use the Pythagorean Theorem to find the distance.
The x-component of this is the distance between -6 and 6, which is 12, and the y-component is again the distance between -6 and 6, which is also 12.
Therefore, the distance is the square root of 12^2 + 12^2, or the squareroot of 288.
the coordinates of the endpoints of rs are r(1,11) and s(6,1). point t is on rs and divides it such that rt:st is 4:1. what are the coordinates of t?
The coordinates of the endpoints of rs are r(1,11) and s(6,1). point t is on rs and divides it such that rt:st is 4:1.
the coordinates of the point t are (5, 3)
We may utilise the notion of section formula to get the coordinates of point T, which states that if we have two points A(x1, y1) and B(x2, y2) and a point P splitting the line segment AB in the ratio m:n, then the coordinates of point P can be calculated using the following formula:
P = ((mx2 + nx1)/(m+n), (my2 + ny1)/(m+n))
In this situation, we have the coordinates of points R and S, as well as the ratio of T divided by RS. So, let's enter the following values into the formula to determine T's coordinates:
Let the coordinates of point T be (x, y), and the ratio of T to RS be 4:1, implying that RT:ST = 4:1. This means that RT = 4/5 (RS length) and ST = 1/5. (length of RS).
RS length =[tex]sqrt((6-1)^2 + (1-11)^2)[/tex] = [tex]sqrt (146)[/tex]
RT=[tex](4/5) * sqrt(146)[/tex] = [tex](4/5) * 12.083[/tex] = 9.666
ST =[tex]1/5* sqrt(146)[/tex] = [tex]1/5* 12.083[/tex] = 2.4166
We get the following using the section formula:
x = (4×6 + 1×1)/(4+1) = 5
y = (4×1 + 1×11)/(4+1) = 3
T = (5, 3)
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how much does 3.26 m of lace cost if 0.8m costs $5.60?
Clear my choice
Which expression is equivalent to
(-√8 -√2) + √-36
The expression equivalent to (-√8 -√2) + √-36 is -3√2 + 6i.
What are complex numbers?A real number and an imaginary number are effectively combined to create a complex number. The complex number is written as a+ib, where a and ib are real and imaginary numbers, respectively. Additionally, I = -1 and both a and b are real numbers.
Consequently, a complex number is a straightforward illustration of the addition of two integers, specifically a real number and an imaginary number. It consists of two parts: one that is entirely real, the other entirely fantastical.
The given expression is:
(-√8 -√2) + √-36
The expression can be written as:
(-2√2 - √2) + √(i)²(6)²
Taking the common term:
√2(-2 - 1) + 6i
Simplifying the expression:
-3√2 + 6i
Hence, the expression equivalent to (-√8 -√2) + √-36 is -3√2 + 6i.
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Find tn Will mark branliest!
The sequence is an arithmetic sequence
The equation of tn is Tn = -k^2 - k + 1 + (n - 1) * (k^2 + 2k + 3)
How to determine the equation of the functionFrom the question, we have the following parameters that can be used in our computation:
-k^2 - k + 1, k + 2, k^2 + 3k + 3, 2k^2 + 5k + 4
The above sequence is an arithmetic sequence
And the common difference (d) is
d = k + 2 + k^2 + k + 1
d = k^2 + 2k + 3
The nth term is then calculated as
Tn = a + (n - 1)d
So, we have
Tn = -k^2 - k + 1 + (n - 1) * (k^2 + 2k + 3)
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15 solids and 15 liquids found in the kitchen.
Please help.
15 liquids that can be found in a kitchen include:
WaterMilkJuice Cooking oil VinegarWineSoy sauceHoneySoupKetchupMustardMayonnaiseSalad dressingEggnogCocktail mixers15 solids in a kitchen are:
FlourSugarSaltRiceBaking sodaBaking powderSpices NutsPastaButterCheeseBreadMeat Vegetables FruitsWhat are some solids and liquids in kitchens ?When it comes to solids in the kitchen, we can mostly find either food ingredients, such as salt, flour, and spices, or actual food that can be prepared such as meat, vegetables, and bread.
As for liquids, these can be anything from drinks such as juice, water and wine, to liquids used for cooking such as oil, soy sauce and vinegar.
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to find m∠JML, you can stop when you get the step 3x=126 degrees, right?
No, you cannot stop at the step 3x = 126 degrees. The measure of angle JML is approximately 56.67 degrees
What is the measure of angle θ?
A radian is the length of an arc formed by an angle that, when shown as a central angle, equals the length of the circle's radius.
No, you cannot stop at the step 3x = 126 degrees.
To find the measure of angle JML, we need to solve for x and then use that value to find the measure of the angle.
We can start by using the fact that the angles in triangle JLM must add up to 180 degrees. We have:
m∠JLM + m∠JML + m∠LMJ = 180
Substituting the given values, we get:
4x + (2x + 18) + (3x - 12) = 180
Simplifying and combining like terms, we get:
9x + 6 = 180
Subtracting 6 from both sides, we get:
9x = 174
Dividing both sides by 9, we get:
x = 19.33...
Now that we have the value of x, we can use it to find the measure of angle JML. We have:
m∠JML = 2x + 18
Substituting x = 19.33..., we get:
m∠JML = 2(19.33...) + 18 = 56.67...
Therefore, the measure of ∠JML is approximately 56.67 degrees
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Question 7(Multiple Choice Worth 1 points)
(06.02 MC)
Three friends, Martin, Tyreese, and Braydon, are collecting donations to help in their community's clean-up initiative. Their total contribution goal is represented by the expression
7x²-4xy+8. The friends have already collected the following amounts
Martin: 5xy + 16
Tyreese: x²
Braydon: 4x²-7
Which expression represents the amount of money the friends still need to collect to meet their goal?
A.2x²-9xy-1
B.2x² + xy +17
C.5x²+5xy+9
D.12x² + xy + 17
The algebraic expression that represents the amount that they still need to raise is given as follows:
A. 2x² - 9xy - 1.
How to obtain the algebraic expression?The total amount that the three friends want to raise is defined as follows:
7x² - 4xy + 8.
The total amount raised is obtained adding the amounts raised by each of the friends, as follows:
5xy + 16 + x² + 4x² - 7 = 5x² + 5xy + 9.
Then the remaining amount to be raised is obtained by the subtraction of the total amount by the amount raised, as follows:
7x² - 4xy + 8 - (5x² + 5xy + 9) = 7x² - 5x² - 4xy - 5xy + 8 - 9
7x² - 4xy + 8 - (5x² + 5xy + 9) = 2x² - 9xy - 1.
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A soccer player has a large cylindrical water cooler that measures 3.5 feet in diameter and is 2 feet tall. If there are approximately 7.48 gallons of water in a cubic foot, how many gallons of water are in the water cooler when it is completely full? Use π = 3.14 and round to the nearest hundredth.
The volume of the water in the water cooler when it is completely full is 82.21 gallons.
What is a cylinder?
One of the most fundamental curvilinear geometric shapes, a cylinder has traditionally been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry. In many contemporary branches of geometry and topology, a cylinder can also be defined as an infinitely curvilinear surface.
Given that the height of a cylinder is 3.5 feet. The diameter of the cylinder is 2 feet.
The radius of the cylinder is half of the diameter.
The radius of the cylinder is 2/2 = 1 foot.
The volume of a cylinder is πr²h.
r = radius, h = height
The volume of the cylinder is
π×1²×3.5
= 3.14 × 3.5
= 10.99 cubic foot
= 10.99 × 7.48 gallons
= 82.205 gallons
= 82.21 gallons
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find the following arc measures
Answer:
m angleJ= 53, m angle JML = 63.5
Step-by-step explanation:
As this is a circle, KJ and KL are radii, which are equal
If we join J and L to form JL, Triangle KJL becomes and isosceles triangle( two sides equal).
That means, the angles J and L are equal (isosceles triangle thm).
Therefore- m angleJ = 180 - 127
m angleJ = 53
Join J and K, and L and K
Another circle theorem- The angle subtended by an arc/chord on the centre is double the angle subtended by the chord on any other point on the circle.
Therefore- angle JML = (1/2)127
So, m angleJML = 63.5
which value of x is a solution to this equation 2x2+5x−63=0
Answer: x=92x=−7
Step-by-step explanation:x=−b±b2−4ac2a=−±2−4√2Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
Answer:it’s 3
Step-by-step explanation:
so what u do is multiply
53. The cutting tool on a lathe moves 3/128 in. along the piece being turned for each revolution of work. The piece revolves at 45 revolutions per minute. How long will it take to turn a length of 9 9/64-in. Find in one operation?
Using the concept of rates, the machine will complete 9 9/64 inches in 8.67 minutes
How long will it take to turn a particular length
To determine how long it will take to turn a particular length of iron, we can calculate the rate at which it works and it must be in a definite proportion.
If the lathe moves 3/128 in one revolution.
And the machine completes 45 revolutions in 1 minutes, we can determine how many inches in moves in that minute.
3/128 in = 1 rev
x in = 45
45 * (3/128) = 45 revolutions = 1 minute
1.054 inches in 1 minute.
We can further use this to determine the time it takes to move 9 9/64 inches
1.054 inches = 1 minute
9 9/64 inches = x minute
cross multiply both sides and solve
x = 8.67 minutes
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prove, that 32^5-16^5+2^19 is divisible by 63 help asap
ill award brainlist
Step-by-step explanation:
Use PEMDAS (Order of operations).
Simplify exponents
33554432 - 1048576 + 54288
Add and subtract (left to right)
33030144
63 goes into 33030144 524288 times.
Answer:
2^19(63)
Step-by-step explanation:
(2^5)^5-(2^4)^5+2^19
2^25-2^20+2^19
2^19(2^6-2+1)
2^19(64-2+1)
2^19(63)
1. Laquan is hosting a brunch and buying pastries for himself and each of his 12 guests. If each pastry costs $3.50, how much will he spend?
Answer:
$45.5
Step-by-step explanation:
12 guests and himself : 13×3.50=45.5
Let f be the function given by f(x)=x³−3x². What are all values of c that satisfy the conclusion of the Mean Value Theorem of differential calculus on the closed interval [0,3]?
The Mean Value Theorem is satisfied for c = 3 on the closed interval [0,3]. This can be expressed as:
The Mean Value Theorem (MVT) of differential calculus states that for any differentiable function f(x) on the closed interval [a,b], there exists a point c between a and b such that the slope of the tangent at c is equal to the average rate of change of f(x) over [a,b]. Mathematically, this can be expressed as:
f'(c) = [f(b) - f(a)] / (b - a)
In the given function f(x) = x^3 - 3x^2, we need to find all values of c that satisfy the conclusion of the MVT on the closed interval [0,3].
First, we need to find the derivative of f(x):
f'(x) = 3x^2 - 6x
Then, we need to evaluate the average rate of change of f(x) over [0,3]:
[f(3) - f(0)] / (3 - 0) = (27 - 0) / 3 = 9
Therefore, we need to find all values of c between 0 and 3 such that f'(c) = 9.
Setting f'(c) = 9, we get:
3c^2 - 6c = 9
c^2 - 2c - 3 = 0
(c - 3)(c + 1) = 0
Thus, the two possible values of c that satisfy the conclusion of the MVT are c = 3 and c = -1. However, we need to check if these values actually lie in the closed interval [0,3]. Since -1 is not in [0,3], the only value of c that satisfies the conclusion of the MVT on [0,3] is c = 3.
Therefore, the conclusion of the Mean Value Theorem is satisfied for c = 3 on the closed interval [0,3]. This means that there exists a point c between 0 and 3 where the slope of the tangent to the graph of f(x) is equal to the average rate of change of f(x) over [0,3].
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solve for angle BD only
Answer: BD = 60.34
Step-by-step explanation:
8x -33 = 2x+37
Take away 2x from both sides ( the 2x will cancel out)
= 6x - 33= 37
Add the 33 to both sides. (The -33 will cancel out)
Now you are left with 6x = 70
Divide both sides by 6.
x = 11.67 (rounded by the hundredth) (11.66666...)
Now to figure out BD your new equation is 2(11.67) + 37
After multiplying you get 23.34 + 37.
BD = 60.34
Hope this helps. This is the way I learned.
the process standard deviation is 0.15 , and the process control is set at plus or minus 2.4 standard deviations. units with weights less than or greater than ounces will be classified as defects. what is the probability of a defect (to 4 decimals)?
The probability of a defect (weights less than -0.36 ounces or greater than 0.36 ounces) is approximately 0.0521 × 2 = 0.1042 or 10.42% to four decimal places.
To find the probability of a defect, we need to determine the range of weights that would be considered as defects. The process control limit is set at plus or minus 2.4 standard deviations, which means that any weight outside the range of mean ± 2.4× standard deviation would be considered a defect. Let's calculate the mean weight (μ): μ = 0
And the control limit (LCL and UCL):
LCL = μ - (2.4 × standard deviation)
= 0 - (2.4 × 0.15) = -0.36 UCL
= μ + (2.4 × standard deviation)
= 0 + (2.4 × 0.15) = 0.36.
Since the standard deviation is 0.15 ounces and the normal distribution is symmetrical, the probability of a weight being less than -0.36 ounces or greater than 0.36 ounces is equal. To calculate the probability, we can use the cumulative distribution function (CDF) of a standard normal distribution. Using a standard normal table or a calculator with statistical functions, we can find that the probability of a standard normal distribution being less than -0.36 or greater than 0.36 is about 0.0521 or 5.21%. So, the probability of a defect (weights less than -0.36 ounces or greater than 0.36 ounces) is approximately 0.0521 × 2 = 0.1042 or 10.42% to four decimal places.
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Kelly had 64 plums. She gave her friend 16 and her sister 32 . What percentage of the plums did she have remaining. Show working
brianna is driving on a long road trip. she created the graph below to represent the gallons of gas left in her tank. what does the x-intercept in the graph represent?
The x-axis represents the distance traveled (in miles).
Considering that the x-axis shows the distance travelled (in miles) and the y-axis represents the amount of gas left in the tank (in gallons), the x-intercept would represent the point at which Brianna's gas tank is empty, and she would need to refill her tank to continue traveling. In other words, the x-intercept is the distance Brianna can travel before running out of gas, assuming her car's fuel efficiency remains constant and she does not refill her tank.
Two key lines known as the x and y axes are the building blocks of a graph.
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I really need help with this
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
To check if a curve represents a function, draw vertical lines all over the graph intersecting the curve at different regions.
Now, check how many times a line cuts the curve, if all the vertical lines cuts the curve at a single point then it represents a function, and if the vertical line cuts the curve at more than one point, then its not a function.
By keeping the above instructions in mind, conclusion can be made that :
Functions : (i), (ii), (iii), (iv) and (vi)
Non function : (v) and (vii)
