Answer:
you can apply the mid point formula though which you can easily take the values of the mid point the formula is given below!!
Step-by-step explanation:
\(x = \frac{x1 + x2}{2} \: \: \: y = \frac{y1 + y2}{2} \)
using this formula you can have ur mid point value
hope it helps : )
Which pair of vectors is orthogonal?
u = ⟨–3, 2⟩ and v = ⟨–2, 1⟩
u = ⟨1, 5⟩ and v = ⟨–5, 1⟩
u = ⟨2, 1⟩ and v = ⟨–4, 3⟩
u = ⟨2, 3⟩ and v = ⟨3, 1⟩
Answer:
B: u = (1,5) and v = (-5,1)
Step-by-step explanation:
edge 2021
The pair of vectors which are orthogonal to each other will be u = ⟨1, 5⟩ and v = ⟨–5, 1⟩. Then the correct option is B.
What is a vector?The quantity which has magnitude, direction and follows the law of vector addition is called a vector.
For the orthogonal vector, the dot product of two vectors will be zero.
Check first option, we have
u·v = ⟨–3, 2⟩·⟨–2, 1⟩
u·v = 6 + 2 = 8 (incorrect)
Check second option, we have
u·v = ⟨1, 5⟩·⟨–5, 1⟩
u·v = –5 + 5 = 0 (correct)
Check third option, we have
u·v = ⟨2, 1⟩·⟨–4, 3⟩
u·v = –8 + 3 = –5 (incorrect)
Check fourth option, we have
u·v = ⟨2, 3⟩·⟨3, 1⟩
u·v = 6 + 3 = 9 (incorrect)
Then the correct option is B.
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Which is the graph of y<2x-1
Answer:
the last one is the only one with a y intercept of -1
Step-by-step explanation:
mayam bought potato chips to school she share 1/4 of her chips with friends and 1/8 of her chips with her teacher how many has she shared in all?
\(\huge\underline\mathtt\colorbox{cyan}{3/8}\)
\(\huge\mathsf\colorbox{white}{}\)
Step-by-step explanation :Total shared part:
1/4 + 1/8
Taking LCM and adding:
2/8+1/8
Adding gives:
3/8
If x = 2, y = 3 and z = -5, find the value of square root of x + y squared + z squared
The value of square root of x + y squared + z squared is 30
How to solve algebra?x = 2, y = 3 and z = -5
\(( \sqrt{x + y} )^{2} + z ^{2} \)
substitute the value of x, y and z
\( = ( \sqrt{2 + 3} )^{2} + - 5 ^{2} \)
simplify the square root and square
\( = (2 + 3) + 25\)
\( = 5 + 25\)
\( = 30\)
Ultimately, x + y squared + z squared is 30
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The depth of a local lake averages 38 ft, which is represented as |−38|. In February, it measured 6 ft deep, or |−6|, and in July, it was 25 ft deep, or |−25|. What is the difference between the depths in February and July?
A32 feet
B 31 feet
C 19 feet
D 13 feet
The difference between the depths in February and July is 31 feet.
How to measure depth?The method of measuring depth depends on what we are trying to measure the depth of. Here are some general methods for measuring different types of depth:
Depth of water: The depth of water can be measured using a sounding device such as a sonar or a simple depth gauge. A sonar uses sound waves to determine the distance from the water's surface to the bottom. A depth gauge is a simple device that measures the distance from the surface of the water to the bottom using a weight and a line.
Depth of a hole: The depth of a hole can be measured using a tape measure or a ruler. Simply insert the measuring device into the hole and measure the distance from the top of the hole to the bottom.
Depth of a trench: The depth of a trench can be measured using a measuring tape or a surveyor's level. Place the measuring device at the edge of the trench and measure the distance from the top of the trench to the bottom.
Depth of a pool: The depth of a pool can be measured using a pool depth marker or by using a measuring tape. A depth marker is usually located on the side of the pool and indicates the depth at various points. Alternatively, you can use a measuring tape to measure the distance from the surface of the water to the bottom of the pool.
Depth of a well: The depth of a well can be measured using a well sounder or a tape measure. A well sounder is a device that sends a signal down the well and measures the time it takes for the signal to bounce back. The time it takes is then used to calculate the depth of the well. Alternatively, a tape measure can be used to measure the distance from the surface of the water to the bottom.
Given, In February, it measured 6 ft deep, or |−6| and in July, it was 25 ft deep, or |−25|.
The difference between the depths in February and July is:
|−6| − |−25| = 6 − (−25) = 6 + 25 = 31
Therefore, the correct choice is B) 31 feet.
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Steven's family needs a new microwave. There is one on sale that measures 20 inches by 14 inches by 11 inches. What is the volume of the microwave?
Answer:
3,080 in³
Step-by-step explanation:
To find the volume you use the formula
Length*Width*Height= Volume
So,
14*11*20 = 3080
and you unit will be cubed because volume is cubed!
Bikini hot is putting all of its swimsuits on sale during the month of January a suit that regularly sells for $42 cost $33.60 in January what is the discount rate for the suit
Answer:
Step-by-step explanation: You start by subtracting the original price from the new price.
Which is $42 from $33.60
$42-$33.60=$8.40
So $8.40 is your discount rate.
An interior designer is redecorating a room that is 26 feet long by 18 feet wide by 9 feet high. At one end of the room is a door that is 6 feet 6 inches high and 4 feet wide. One of the walls contains 2 windows, each of which is 2 feet wide by 2 feet 6 inches high.
A: How much will it cost to carpet the floor if the carpet sells for $18.00 a square yard? $
B: How much will it cost to wallpaper all four walls if wallpaper costs $0.75 per square foot? $
C: How much will it cost to paint the ceiling using paint that sells for $25 per gallon if a quart of paint will cover 88 square feet? $
D: What will be the cost of the entire project? $
Answer: A: It will cost $936.00 to carpet the floor.
B: It will cost $297.00 to wallpaper all four walls.
C: It will cost $33.25 to paint the ceiling.
D: The cost of the entire project will be $1266.25.
Step-by-step explanation:
To calculate the costs for carpeting, wallpapering, painting, and the overall cost of the project, we need to determine the areas that need to be covered and the corresponding prices for each material.
Given dimensions:
Room length: 26 feet
Room width: 18 feet
Room height: 9 feet
Door dimensions:
Height: 6 feet 6 inches
Width: 4 feet
Window dimensions (each):
Width: 2 feet
Height: 2 feet 6 inches
A: Carpeting the floor:
To find the area of the floor, we multiply the length and width of the room:
Floor area = Length × Width = 26 feet × 18 feet = 468 square feet.
To convert to square yards (since the carpet is sold per square yard), we divide by 9:
Floor area in square yards = 468 square feet / 9 = 52 square yards.
Cost to carpet the floor = Floor area in square yards × Cost per square yard = 52 square yards × $18.00 = $936.00.
B: Wallpapering the walls:
To find the area of the walls, we calculate the perimeter of the room (2 × (Length + Width)) and multiply it by the height of the room:
Wall area = Perimeter × Height = 2 × (26 feet + 18 feet) × 9 feet = 396 square feet.
Cost to wallpaper the walls = Wall area × Cost per square foot = 396 square feet × $0.75 = $297.00.
C: Painting the ceiling:
To find the area of the ceiling, we multiply the length and width of the room:
Ceiling area = Length × Width = 26 feet × 18 feet = 468 square feet.
Since a quart of paint covers 88 square feet, we need to determine the number of quarts required:
Number of quarts = Ceiling area / Coverage per quart = 468 square feet / 88 square feet = 5.32 quarts.
Since a gallon contains 4 quarts, the number of gallons required is 5.32 quarts / 4 quarts = 1.33 gallons.
Cost to paint the ceiling = Number of gallons × Cost per gallon = 1.33 gallons × $25.00 = $33.25.
D: Cost of the entire project:
Total cost = Cost to carpet the floor + Cost to wallpaper the walls + Cost to paint the ceiling
= $936.00 + $297.00 + $33.25 = $1266.25.
Therefore:
A: It will cost $936.00 to carpet the floor.
B: It will cost $297.00 to wallpaper all four walls.
C: It will cost $33.25 to paint the ceiling.
D: The cost of the entire project will be $1266.25.
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A bakery sold 36 brownies in a day, which was 30% of the total items sold that day. What was the total number of items the bakery sold that day?
Answer:
120
Step-by-step explanation:
We know that 36 is 30% of total items
So our equation would be 36/? = 30/100
From there we cross multiply so 36x100 = 3600
From there, we divide 3600 by 100
Therefore, your answer is 120
The graph of the equation x + 3y = 6 intersects the y-axis at what the point?
Answer:
It intersects the y-axis at point (0, 2).
Step-by-step explanation:
x + 3y = 6
3y = -x + 6
y = -1/3x + 2
Answer:
4. (6,0)
Step-by-step explanation:
Plug the points into the equation.
6+3(0)=6
6+0=6
6=6
when using the some rule ,we only use two of the equal ratios at one time.That is we work with pairs of _____ sides and angle?
When applying the some rule, we only combine two equal ratios at once. Consequently, we deal with pairs of sides and angles that have equivalent ratios.
Which set of ratios form a proportion?When two ratios are equal, a percentage is formed; alternatively, two equal ratios can be said to produce a proportion. When we understand that two ratios are equal, you can write a proportion. The ratios of these two numbers are equal.
When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant. Two angles are said to be complimentary if their sum is 90 degrees. Alternatively put, two angles are said to be complimentary if they combine to make a right angle.
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Sarah spent 30 minutes practicing her spelling words. She spent 3 times as much time reading. How many minutes did Sarah spend reading?
Sarah spends reading 30 min + \(0.05 min^{2}\).
What is a mathematical expression?An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms. To assist identify the sequence of operations and other features of logical syntax, mathematical symbols can denote numbers (constants), variables, operations, functions, brackets, punctuation, and grouping.
However, in modern mathematics, and particularly in computer algebra, formulae are considered expressions that may be evaluated as true or false based on the values assigned to the variables in the expressions.
The problem is in a mathematical expression.
30 min+3s min did Sarah spend reading
Convert s to min
.30min+3s min× 1min/60s
Cancel the common units and simplify.
Cross-cancel units.
30 min + \(0.05 min^{2}\)
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what is the value of x?
Answer:
46
ayo how r u doin siahsvsgshsgsgsgsg
how can you
change the equation y = mx + b to
shift the graph down?
Step-by-step explanation: To shift the graphs up and down on the coordinate system, you need to manipulate or change the y-intercepts.
The y-intercept is just the constant term in the equation.
As long as the slopes remain the same, the graphs can be
translated up or down by changing the constant value.
Take a look at these lines graphed below.
Notice that y = x + 11 is the same as y = x + 4 but
y = x + 11 is translated 7 units down to get y = x + 4.
What value equivalents to 5 7/8
Collect a set of data (from the internet) about any school-appropriate topic. Examples: rainfall data, and testing scores. Or make up your own set of data. The data set must contain at least 20 values. Fill out the questions below regarding your data.
1. List your data below in numerical order.
2. Explain your data. What does each data point represent?
3. What is the mean of your data?
4. What is the minimum and maximum within your data?
Here is the data collected as a result of the experiment.
1) Numerical order is: 0.20, 0.20, 0.46, 0.46, 2.10, 2.10, 5.50, 11.80, 12.20, 12.20, 13.22, 14.65, 16.07, 17.49, 18.91, 20.33, 20.50, 20.50, 21.75, 23.18
2) The data represents rainfall in millimeters over a 20-day period.
3) Mean = 11.69 mm.
4) The minimum rainfall is 0.20 mm ;
the maximum is 23.18 mm.
1) The data is listed as follows.
0.20 12.20 2.10 0.46 20.50 5.50 11.80 13.22 14.65 16.07 17.49 18.91 20.33 21.75 23.18 0.20 12.20 2.10 0.46 20.502) The data represents the amount of rainfall in millimeters over a 20 day period.
3) The mean rainfall over the 20 day period is 11.69 mm.
= (0.20 + 0.20 + 0.46 + 0.46 + 2.10 + 2.10 + 5.50 + 11.80 + 12.20 + 12.20 + 13.22 + 14.65 + 16.07 + 17.49 + 18.91 + 20.33 + 20.50 + 20.50 + 21.75 + 23.18) /20
Mean (x) = 11.69 mm.
3) The minimum rainfall is 0.20 mm and the maximum is 23.18 mm.
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Sally has the following spinner for a game. Is this a fair spinner?
A)
No, there are more red and yellow regions than purple and blue regions.
B)
No, the yellow and red regions are too small.
Yes, all the colors have equal region sizes.
Help please
D)
There is not enough information to tell
Answer:
A
Step-by-step explanation:
Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
Find the inverse of this function
g(x)=2(x-3)^5
if fifteen families are coming to the picnic and they all split the cost evenly between them how much will each family contribute towards the cost of the shelter
How many of each color ballon will be in each bouquest
Answer:
Step-by-step explanation:
12
Answer:
Divide the number of balloons by the amount of bouquets
Step-by-step explanation:
I hope that helps you!
2x+15
4x + 5
x = [?]
X
O
What are the measures of angle A,B,C and D?
SHOW WORK !!! ILL GIVE YOU BRAINLIST HAVE TO GET IT RIGHT !!!
Answer:
h(6)=11
Step-by-step explanation:
h(6)=|6+2|+3
6+2=8
h(6)=|8|+3
8+3=11
h(6)=11
Answer:
h(6)=11
Step-by-step explanation:
to find h(6), you substitute 6 for the t, so the new problem will be:
h(6)= /6+2/ + 3
next you add: 6+2= 8, so the problem is now: h(6)=/8/+3
the absolute value of 8 is 8, so the problem is: h(6)=8+3
now you just add 8+3 and that equals 11, so: h(6)=11
and that's your answer.
hope this helps
Commute times in the U.S. are heavily skewed to the right. We select a
Type numbers in the boxes.
random sample of 220 people from the 2000 U.S. Census who reported a non- 10 points
zero commute time.
In this sample the mean commute time is 28.3 minutes with a standard deviation of 19.2 minutes.
Can we conclude from this data that the mean commute time in the U.S. is less than half an hour?
Conduct a hypothesis test at the 5% level of significance.
What is the p-value for this hypothesis test?
Your answer should be rounded to 4 decimal places.
There are 3 types of PercentProblems.
a) Number compared to the Base is unknown: x/100 = ?/b
b) Base Number is unknown: a/?= x/100
c) Percent is unknown: a/b = ?/100
Solve the following percent problems using the appropriate percent equation. Describe
the steps used to calculate each answer.
1) What distance is 24% of 710 miles?
2) 62 hours is what percent of 3 days?
3) 16% of what number is 8?
Answer:A. x= .100
Step-by-step explanation:because of the distance in miles
Factor −5x2 + 10x.
PLS HURRY NEED THIS DUE TODAY
Answer:
C. 5x(-x + 2)
Step-by-step explanation:
To factor the expression -5x² + 10x, we need to look for a common factor that can be factored out.
Finding a common factor involves identifying a term or expression that can be factored out from each term of a given expression.
Both terms have the common factor of 5x, so we can factor out 5x:
5x(-x + 2)
Therefore, the factored form of -5x² + 10x is -5x(x - 2).
\(\hrulefill\)
Additional notes:
If we expand the expressions in the given answer options, we get:
A. −5x(x + 2) = -5x² - 10x
B. 5(−x² + 10x) = -5x² + 50x
C. 5x(−x + 2) = -5x² + 10x
D. x(5x + 10) = 5x² + 10x
Hence confirming that the correct answer is option C.
To factor \(-5x^2+10x\), we can begin by factoring out the greatest common factor, which is \(-5x\):
\(-5x^2 + 10x = \boxed{-5x(x - 2)}\)We can check our answer by distributing \(-5x\) to the expression inside the parentheses:
\(\begin{aligned}-5x(x - 2)& = (-5x)(x) + (-5x)(-2)\\& = -5x^2 + 10x\end{aligned}\)\(\therefore\) The answer is \(-5x(x-2)\).
\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)
Which set of numbers has 11 as a common factor? {154, 231} {143, 221} {33, 39} {77, 91}
The set of numbers that have 11 as a common factor is {154, 231}.
What are common factors?The number that divides two or more numbers is called a common factor.
Given are the pair of numbers as -
{154, 231}
{143, 221}
{33, 39}
{77, 91}
The pair of numbers with the common factor 11 is {154, 231}.
Therefore, the set of numbers that have 11 as a common factor is {154, 231}.
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15. Many people swimming in a pool experience pain in their ears if they dive to the
bottom. Why is this?
A. Pressure increases as the depth of the water column above them increases.
B. The area of the pool is wider where it's deeper.
C. Pressure decreases as the depth of the water column above them increases.
D. The vapor pressure at the surface is removed.
Answer:
The answer is Ahope this helps
Simplify the expression 5^3 x 5^-5
A. 1/5^2
B. -5^2
C. 1/5
D. 5^2
Answer:
5^3* 5^-5
5^3*1/5^5
5^3/5^5
-5^2
therefore answer is -5^2