The midpoint becomes Midpoint M is 3/2, 6.
According to the statement
We have to find that the midpoint.
So, For this purpose, we know that the
Midpoint is the the point on a line segment or an arc that is equidistant, when measured along the line or the arc, from both endpoints.
From the given information:
The end points of AB are A (-7,7)and B (10,5).
Then
Midpoint M = Midpoint of A, Midpoint of B
Then
Midpoint M = -7+10 /2, 7+5/2
Midpoint M = 3/2, 12/2
Midpoint M = 3/2, 6.
Then the midpoint of the AB becomes the 3/2, 6. which represent the 3/2 is the x coordinates and the y coordinates is a 6.
So, The midpoint becomes Midpoint M is 3/2, 6.
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Helpppppp ppppppp me
Answer:
Volume= 117 cm³, hope that helped
Which point is a good approximation of a relative maximum of the graph? O (-2, 0) 0 (-1, -3) (1,3) 0 (2,0) GE
Answer:
Answers actually (1,3)
Step-by-step explanation:
Just took the test on edge
The null nondirectional hypothesis (H0) is: µ = 300. What is the alternative hypothesis (H1)?
Group of answer choices
a. µ ≤ 300
b. µ < 300
c. µ > 300
d. µ ≠ 300
The correct answer is d. µ ≠ 300. The alternative hypothesis (H1) is typically the complement of the null hypothesis (H0) and represents the possibility of observing a statistically significant difference between two groups or variables.
In this case, since the null hypothesis (H0) is µ = 300, the alternative hypothesis (H1) could be µ ≠ 300, which means that there is a significant difference between the population mean and the hypothesized value of 300.
Therefore, the correct answer is d. µ ≠ 300.
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Mary makes two blueberry pies
in two pie pans that are 6" in
diameter. What is the total area of
Mary's two pies?
Answer:
56.54862 in^2
Step-by-step explanation:
area = pi*radius^2
radius = 1/2 diameter
pi=3.14159.....
a=pi*3^2
a=3.14159*9
a=28.27431
two pies=56.54862
What are the x-intercept(s) of the function the quantity of 5 x squared minus 25 x, all over x? x = 5 x = 0 and x = 5 x = 0 x = −5
The value of x will be 0 and x = 5. The correct option is A.
What is the x-intercept?The x-intercept is the point at which a line intersects the x-axis, and the y-intercept is the point at which the line intersects the y-axis.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the x-intercept(s) of the function is the quantity of 5x² - 25x.
The value of the x-intercept will be calculated as,
5x² - 25x = 0
5x( x -25) = 0
5x = 0 and x - 5 = 0
x = 0 and x = 5
Therefore, the value of x will be 0 and x = 5. The correct option is A.
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Answer:
it's x = 5
Step-by-step explanation:
got it right on the test.
I need help on this math question
Answer: The answer is > because it means greater than, and -2.7 is closer to becoming a positive than -3.6.
Two numbers have a sum of 1,212 and a difference of 518. Which system of equations could we use to solve this problem?.
The correct system of equations is A. x+y=1212 and x-y=518.
Let us assume the two numbers to be x and y. Based on the first statement, the equation will be:
x + y = 1212
Based on the second statement, the equation will be:
x - y = 518
Using the equation to find the value of x and y
Adding these two equations. We get -
2x = 1730
x = 1730 ÷ 2
Performing division
x = 865
Keeping the value of x in first equation to find the value of y
y = 1212 - 865
Performing subtraction
y = 347
Thus, the system of equations that can solve this problem are: x+y=1212 and x-y=518.
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The complete question is attached in figure.
rita, sita, and pita are all in need of street lights in their neighborhood to illuminate the streets during their evening strolls. rita assigns a value of $100 to the lights, sita assigns them a value of $150 and pita values them at $50. the total installation cost of electric street lights is $400. what should the neighborhood association do, if rita, sita and pita are the only residents who go on their nightly strolls and yet don't have a flashlight on their phone?
The neighborhood association should not install the lights because the costs outweigh the benefits.
It is given to us that -
Rita, Sita, and Pita are all in need of street lights in their neighborhood
Rita assigns a value of $100 to the lights
Sita assigns the lights a value of $150
Pita values the lights at $50
The total installation cost of electric street lights is $400
According to the given information,
The total benefit from installing the light = $100 + $150 + $50 = $300
However, it is given to us that the total installation cost of electric street lights is $400
As we can see, the cost of installing the lights is more than the benefits expected from installing the light.
Therefore, it can be concluded that the neighborhood association should not install the lights because the costs outweigh the benefits.
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you are standing feet away from a five-story building in los angeles, looking up at its rooftop. your eyes are approximately five feet above the ground. in the distance you can see the billboard on top of your hotel, but the hotel building is completely obscured by the building in front of you. if your hotel is stories tall and the average story is feet high, how far away from your hotel are you?
If your hotel is stories tall and the average story is feet high, the distance is 69 feet.
How to find the distance?We can solve this problem using similar triangles. Let's call the distance between you and your hotel "x".
First, we need to determine the height of the building in front of you. Since we know it is five stories tall, and the average story is 10 feet high, its total height is 5 * 10 = 50 feet.
Now, we can use the similar triangles formed by the buildings and your line of sight to set up a proportion:
x / (h + 50) = 60 / h
where "h" is the height of the five-story building, and "h + 50" is the total height of the building and its billboard.
We can cross-multiply to get:
x * h = 60 * (h + 50)
Expanding the right side, we get:
x * h = 60h + 3000
Subtracting 60h from both sides, we get:
x * h - 60h = 3000
Factoring out the h, we get:
h * (x - 60) = 3000
Dividing both sides by h, we get:
x - 60 = 3000 / h
Substituting in the known values, we get:
x - 60 = 3000 / (10 * 32)
Simplifying, we get:
x - 60 = 9.375
Adding 60 to both sides, we get:
x = 69.375
x = 69 feet
Therefore, you are approximately 69 feet away from your hotel.
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The complete question is:
you are standing 60 feet away from a five-story building in los angeles, looking up at its rooftop. your eyes are approximately five feet above the ground. in the distance you can see the billboard on top of your hotel, but the hotel building is completely obscured by the building in front of you. if your hotel is 32 stories tall and the average story is 10 feet high, how far away from your hotel are you?
A savings account is opened with an initial deposit of $425.00. determine the account balance after 9 years if the account earns 2.7% simple interest annually. $3,928.28 $1,457.75 $528.28 $103.28
The account balance after 9 years is $528.28. The result is obtained by adding the interest to the initial deposit.
How to count the simple interest?
The simple interest of an amount of money can be counted by the following formula.
I = P₁ - P
I = P × r × t
Where
I = simple interestP = principal amount (initial balance)P₁ = final balancer = simple interest ratet = time periodWe have
Initial deposit, P = $425.00.Time period, t = 9 years.Simple interest rate, r = 2.7% per year.Find the final account balance!
After 9 years, the simple interest of the savings is
I = P × r × t
I = $425.00 × 2.7% × 9 years
I = $3,825.00 × 0.027
I = $103.28
The final account balance would be
I = P₁ - P
$103.28 = P₁ - $425.00
P₁ = $425.00 + $103.28
P₁ = $528.28
Hence, after 9 years, the account balance would be $528.28.
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I need help with this math problem ASAP, please put your equation on how you got your answer otherwise, it will not be marked, Thanks!
Answer: f(-4) = -7
Step-by-step explanation:
Since -4 is less than -1, we will be substituting x = -4 into the top equation of the piecewise function.
Given:
\(\displaystyle \frac{3}{4}x -4\)
Substitute:
\(\displaystyle \frac{3}{4}(-4) -4\)
Multiply:
-3 - 4
Subtract:
-7
PLEASE HELP ASAP!!
Which relationship is always correct for the angles x, y, and z of triangle ABC?
x + z = y
y + z = x
x + y + z = 180 degrees
x + y + z = 90 degrees
The relationship between the angles of a triangle is y + z = x. Then the correct option is B.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The triangle ABC is shown. The sum of the interior angle of the triangle is 180°. Then the equation is given as,
∠BAC + y + z = 180° ...1
The sum of the interior angle and exterior angle is equal to 180°. Then the equation is given as,
∠BAC + x = 180° ...2
From equations 1 and 2, then we have
∠BAC + y + z = ∠BAC + x
y + z = x
The relationship between the angles of a triangle is y + z = x. Then the correct option is B.
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Which of the following are solutions to the equation below?
CHECK ALL THAT APPLY.
(image attched
The solution of x^2 + 10x+ 25 = 8 is x = ± 2√2 - 5.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
the given equation is,
x^2 + 10x+ 25 = 8
⇒ x^2+ 2.x.5 + 5^2 = 8
⇒ (x+5)^2 = 8 [ by taking square root both side]
⇒ x+5 =± 2√2
⇒ x = ± 2√2 - 5
Hence, The solution of x^2 + 10x+ 25 = 8 is x = ± 2√2 - 5.
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what is equavalent to 6/9?
Answer:
it can be equavalent to 2/3 because there are 2 3s in 6 and 3 3s in 9 if that makes any sense pretty much it's just 2/3
which is a reflection over y axis
pls help us due today
Could someone please help answer this, please no spam, thank you, will give brainliest, (homework help)!
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
Y - intercept is the value of y - coordinates of the point where the line intersects the y - axis, that is :
\(0\)Y - intercept = 0
Answer:
Let's find slope first
Take 2points
(1,-2)(0,0)\(\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}\)
\(\\ \sf\longmapsto m=\dfrac{0+2}{0-1}\)
\(\\ \sf\longmapsto m= \dfrac{2}{-1}\)
\(\\ \sf\longmapsto m=-2\)
Equation of the line
\(\\ \sf\longmapsto y=mx+b\)
Put values
\(\\ \sf\longmapsto -2=-2(1)+b\)
\(\\ \sf\longmapsto b=-2+2\)
\(\\ \sf\longmapsto b=0\)
y-intercept is 0
Suppose you send about 12 text messages a day, and your older sister sends more text messages than you do. Together, you send a total of about 26 messages per day. About how many text messages does she send a day? Write an equation and solve for the unknown value
Answer: so your sister sends 14 messages a day
Step-by-step explanation: you send about twelve texts a day and as a total you both send 26 so lets let your sister be x and you are 12
26- 12=x
26-12= 14
I hope this was helpful!
PLEASE HELP will mark brainliest
Answer:
The slope of this line is -2/3.
Step-by-step explanation:
Start at the point (1, 1). Go down 2 units, then go right 3 units. You will end at the point (4, -1).
Alternately:
\(m = \frac{ - 1 - 1}{4 - 1} = \frac{ - 2}{3} = - \frac{2}{3} \)
can you please help
Answer:
5
Step-by-step explanation:
Because the 2 sides and 2 other sides and bottom
Answer:
The prism has 5 faces
Step-by-step explanation:
A face is a side of a polygon.
~theLocoCoco
evaluate:
1. f(x) = {(1/x-1) if x<1; (x^3-2x+5) if x>=1
2. f(x) = {(3-x) if x<2; 2 if x = 2; x/2 if x>2
3. f(x) = {1-x^2 if x<1; 2 if x>=1
4. f(x) = {(2x+1) if x<=-1; 3x if -1=1
5. f(x) = {(x-1)^2 if x<0; (x+1)^2 if x>=0
The solution of the limits are
1. f(x) = {(1/x-1) if x<1; (x³-2x+5) if x>=1 is does not exist
2. f(x) = {(3-x) if x<2; 2 if x = 2; x/2 if x>2 is 1
3. f(x) = {1-x^2 if x<1; 2 if x>=1 is does not exitst
4. f(x) = {(2x+1) if x<=-1; 3x if -1=1 is 1
5. f(x) = {(x-1)^2 if x<0; (x+1)^2 if x>=0 is 0
f(x) = {(1/x-1) if x<1; (x³-2x+5) if x>=1 is 1
To evaluate this function, we need to determine the limit of the function as x approaches 1 from both the left and the right sides.
When x approaches 1 from the left side (x<1), the function becomes f(x) = 1/(x-1). As x gets closer to 1 from the left side, the denominator (x-1) becomes smaller and smaller, causing the entire fraction to approach infinity. Therefore, the limit of f(x) as x approaches 1 from the left side is infinity.
When x approaches 1 from the right side (x>=1), the function becomes f(x) = x³-2x+5. As x gets closer to 1 from the right side, the function approaches 4. Therefore, the limit of f(x) as x approaches 1 from the right side is 4.
Since the limit of the function from the left and right sides are different, the limit of the function as x approaches 1 does not exist.
f(x) = {(3-x) if x<2; 2 if x = 2; x/2 if x>2
To evaluate this function, we need to determine the limit of the function as x approaches 2 from both the left and the right sides.
When x approaches 2 from the left side (x<2), the function becomes f(x) = 3-x. As x gets closer to 2 from the left side, the function approaches 1. Therefore, the limit of f(x) as x approaches 2 from the left side is 1.
When x approaches 2 from the right side (x>2), the function becomes f(x) = x/2. As x gets closer to 2 from the right side, the function approaches 1. Therefore, the limit of f(x) as x approaches 2 from the right side is 1.
Since the limit of the function from the left and right sides are the same, the limit of the function as x approaches 2 exists and is equal to 1.
f(x) = {1-x² if x<1; 2 if x>=1
To evaluate this function, we need to determine the limit of the function as x approaches 1 from both the left and the right sides.
When x approaches 1 from the left side (x<1), the function becomes f(x) = 1-x². As x gets closer to 1 from the left side, the function approaches 0. Therefore, the limit of f(x) as x approaches 1 from the left side is 0.
When x approaches 1 from the right side (x>=1), the function becomes f(x) = 2. As x gets closer to 1 from the right side, the function remains constant at 2. Therefore, the limit of f(x) as x approaches 1 from the right side is 2.
Since the limit of the function from the left and right sides are different, the limit of the function as x approaches 1 does not exist.
f(x) = {(2x+1) if x<=-1; 3x if -1=1
To evaluate this function, we need to determine the limit of the function as x approaches -1 from both the left and the right sides.
When x approaches -1 from the left side (x<-1), the function becomes f(x) = 2x+1. As x gets closer to -1 from the left side, the function approaches -1. Therefore, the limit of f(x) as x approaches -1 from the left side is -1.
When x approaches -1 from the right side (-1<x<1), the function becomes f(x) = 3x. As x gets closer to -1 from the right side, the function approaches -3. Therefore, the limit of f(x) as x approaches -1 from the right side is -3.
Since the limit of the function from the left and right sides are different, the limit of the function as x approaches -1 does not exist.
f(x) = {(x-1)² if x<0; (x+1)² if x>=0
To evaluate this function, we need to determine the limit of the function as x approaches 0 from both the left and the right sides.
When x approaches 0 from the left side (x<0), the function becomes f(x) = (x-1)². As x gets closer to 0 from the left side, the function approaches 1. Therefore, the limit of f(x) as x approaches 0 from the left side is 1.
When x approaches 0 from the right side (x>=0), the function becomes f(x) = (x+1)². As x gets closer to 0 from the right side, the function approaches 1. Therefore, the limit of f(x) as x approaches 0 from the right side is 1.
Since the limit of the function from the left and right sides are the same, the limit of the function as x approaches 0 exists and is equal to 1.
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give simple summaries of the answers of each after explaining please, i will give brainliest. ty for help :)
Answer:
\(1. \ p=2\ * 3^{n}\)
2. 3rd graph (decreasing exponentially)
3. \(1500(3^{n} )\)
4. 281.25 mg
Step-by-step explanation:
The 4-It wall shown here slands 28 ft from the building. Find the length of the shortest straight bearn that will reach to the side of the building from the ground outside the wall. Bcom 2 Building 1'
The length of the shortest straight is approximately 28.01 ft.
What is the right triangle?
A right triangle is" a type of triangle that has one angle measuring 90 degrees (a right angle). The other two angles in a right triangle are acute angles, meaning they are less than 90 degrees".
To find the length of the shortest straight beam,we can use the Pythagorean theorem.
Let's denote the length of the beam as L and a right triangle formed by the beam, the wall, and the ground. The wall is 28 ft tall, and the distance from the wall to the building is 1 ft.
Using the Pythagorean theorem,
\(L^2 = (28 ft)^2 + (1 ft)^2\)
Simplifying the equation:
\(L^2 = 784 ft^2 + 1 ft^2\\ L^2 = 785 ft^2\)
\(L = \sqrt{785}ft\)
Calculating the value of L:
L ≈ 28.01 ft
Therefore, the length of the shortest straight beam is approximately 28.01 ft.
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Which ordered pair is a solution of the equation?
52 - 2y = 18
Answer: y=17
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
52−2y=18
52+−2y=18
−2y+52=18
Step 2: Subtract 52 from both sides.
−2y+52−52=18−52
−2y=−34
Step 3: Divide both sides by -2.
−2y
−2
=
−34
−2
y=17
Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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Jason drove his car 5.5 miles and used 0.2 gallons of gas. How many miles did Jason drive per gallon of gas?
Answer: 2.75
per 0.1 gall
What is the slope for the graph shown? Leave he answer as a fraction and simplify if necessary
Answer:
Slope 1/3
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
Answer:
slope = \(\frac{1}{3}\)
Step-by-step explanation:
calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (3, - 1) and (x₂, y₂ ) = (9, 1) ← 2 points on the line
m = \(\frac{1-(-1)}{9-3}\) = \(\frac{1+1}{6}\) = \(\frac{2}{6}\) = \(\frac{1}{3}\)
Pleaseeee help I’m so confused
Answer:
D
Step-by-step explanation:
if you move the preimage on the image you can see that the two figures are equals
|A+3|/(A-3) IF a=-17
The solution is: the value of |A+3|/(A-3) IF a=-17 is: - 7/10.
Here, we have,
given that,
A = -17
then we have to find |A+3|/(A-3)
now we know,
The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign. For example, the absolute value of 5 is 5, and the absolute value of −5 is also 5. The absolute value of a number may be thought of as its distance from zero along real number line.
so, we have,
For any real number x, if x > 0 then |x| = x and if x < 0 then |x| = -x. In this case, x < 0
so, |A+3| = |-17 + 3|
now, |-17 + 3| = -(-14) = 14.
and, (A-3) = -17 - 3 = -20
so, |A+3|/(A-3) = 14/ -20
= - 7/10
Hence, The solution is: the value of |A+3|/(A-3) IF a=-17 is: - 7/10.
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Ren sets aside $1,000 into an online savings account with an annual interest rate of 2. 3%, compounded annually. How long will it take for the money in his account to double? round to the nearest year.
Ren will have to wait for approximately 31 years for the money compounded annually and a rate of 2.3% to double it's original investment.
Compound InterestCompound interest is the interest imposed on a loan or deposit amount. It is the most commonly used concept in our daily existence. The compound interest for an amount depends on both Principal and interest gained over periods. This is the main difference between compound and simple interest.
The formula of compound interest is given as
A = P(1 + r/n)^nt
A = compounded interest = $2000 (Since the investment doubled)r = rate = 2.3%n = number of times compounded = 12t = time = ?Substituting the values into the equation;
It will take approximately 31 years to double the investment.
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The variance for a binomial probability distribution with n trials is
A. Var(x) = p(1-p)
B. Var(x) = np
C. Var(x) = n(1-p)
D. Var(x) = np(1-p
The correct answer is D. Var(x) = np(1-p), which gives the variance for a binomial probability distribution.
In a binomial probability distribution, there are two possible outcomes for each trial, usually labeled as success (S) or failure (F), with probabilities p and (1-p), respectively. The random variable x represents the number of successes in the given number of trials, n.
The variance measures the spread or variability of a probability distribution. For a binomial distribution, the formula to calculate the variance is Var(x) = np(1-p).
The term np represents the mean or expected value of the binomial distribution, which is the product of the number of trials, n, and the probability of success, p.
The term (1-p) represents the probability of failure, or the complement of p. Multiplying np by (1-p) accounts for the variability in the number of failures.
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