A perpendicular bisector must go through the midpoint of a line, in this case AB. Since Audra opened her compass to more than half way she needs to close it partially until she is on the midpoint.
Answer:
Given that Audra was drawing a perpendicular bisector of segment AB with a compass. She started with line segment AB. Then, she placed her compass point on A and opened the compass more halfway to B.
Her next step will be "Using the width of the compass from the previous step, draw two arcs to the left and right of both A and B".
Step-by-step explanation:
When asked to factor the trinomial 4x^2+20x+25, a student gives the answer (2x-5)(2x-5). What is one thing wrong with this answer?
The minus signs should be plus signs
how can i use variables to describe real world problems
A variable can be used to represent an unknown amount. Then you write an equation using the variable and based on the information you are given, and you solve the equation to find the unknown amount.
Here is an example.
Mary has money in a bank account. She received $20 for her birthday. She deposited the $20 in her account. After the deposit, she was told the account had a balance of $85. How much money did she have in the account before depositing the $20?
We don't know the amount she had before depositing the $20, so we will call that amount x. x is a letter used as a variable to represent an unknown amount.
She had x dollars in her account before depositing the $20.
After she deposited the $20, she now has x plus 20, or x + 20.
We are told her account now has $85, so x + 20 must equal 85.
That allows us to write an equation which we can then solve to find the amount of money she had in the account before depositing the $20.
x + 20 = 85
Subtract 20 from both sides.
x + 20 - 20 = 85 - 20
x + 0 = 65
x = 65
Since the variable x represents the amount of money in the account before depositing the $20 birthday money, we can now answer the question.
Mary had $65.
you can use varibales in real life problems by using them to describe the constants
A new sidewalk will be 4 feet wide 200 feet long and filled to a depth of 3 inches (0.25 foot) with concrete. How many cubic yards of concrete are needed?
The number of cubic yards of concrete that are needed to fill the sidewalk is 7.40741 cubic yards
Volume of a cuboidv = lwh
where
l = length
w = width
h = height
Therefore,
l = 200 ft
w = 4 feet
h = 0.25 feet
v = 200 × 4 × 0.25
v = 200 ft³
In yards the concrete will fill the following volume:
7.40741 yard³learn more on cuboid here:https://brainly.com/question/849398?referrer=searchResults
To find the volume of concrete needed for the sidewalk, multiply the length, width, and depth of the sidewalk. Convert the volume from cubic feet to cubic yards by dividing by 27.
Explanation:To find the volume of concrete needed, we need to multiply the length, width, and depth of the sidewalk. The length is given as 200 feet, the width is 4 feet, and the depth is 0.25 foot. Multiplying these values together gives us the volume in cubic feet. To convert this to cubic yards, we divide the volume in cubic feet by 27 (since there are 27 cubic feet in a cubic yard).
The volume of the sidewalk in cubic feet is 4 ft * 200 ft * 0.25 ft = 200 cubic feet. Dividing this by 27, we get the volume in cubic yards: 200 cubic feet / 27 = 7.41 cubic yards. Therefore, approximately 7.41 cubic yards of concrete are needed for the sidewalk.
recipe for banana oat muffins call for 3/4cups of old fashion oats you are making 1/3of recipe how many cups of oats should you use
The full recipe for the banana oat muffins requires 3/4 (or 0.75) cups of old fashion oats. But you are planning to make only 1/3 of the recipe.
To find the amount of oats required for 1/3 of the recipe, we need to multiply the amount required for the full recipe (3/4 cups) by the proportion of the recipe you are making (1/3).
Let's start with the full amount, which is 3/4 cups of oats. Then, we are going to use only 1/3 of this amount. So, we multiply 3/4 by 1/3.
The result of this calculation is 0.25.
So, you will need 0.25 cups of old fashion oats to make 1/3 of the banana oat muffins recipe.
Tell whether the angles are adjacent or vertical. Then find the value of X
for #5: you put the equations equal to each other then combine like terms & you’ll get x=41 & the angles are vertical.
for #6: you add the equations together to equal 180 bc that is the measure of a straight line. once you do so, you combine like terms & x should equal 14. & the angles are adjacent.
what is the common denominator for 30, 24, 18, and 12?
I believe it is 360 sorry if i am wrong i truely sorry
Write the equation of the line parallel to the given line and passing through the given point. y=−2x−1 through (4,3)
if the lines are parallel the slopes are the same so the slope is -2
the equation for a line given a point and a slope is
y-y1 = m(x-x1)
y-3= -2(x-4)
y-3 = -2x+8
y = -2x+11
Round each decimal number to the nearest hundred 8.314
8.31 because it goes after the decimal tenth then hundreth the for is in the thousandths
The answer is 8.3 Hope this helps
34÷3536
with a remainder please
0.00961538461
I typed this for 20 characters
a store is selling a hat at 55 percent markup. the store originally paid $16 for the hat. what is the retail price for the hat
$24.80 is the new retail price for the hat
Answer:
$24.8
Step-by-step explanation:
Hello, i think I can help you with this,you can easily solve this by using a rule of three
Step 1
define
the retail price for the hat will be the originally paid value plus 55%, it is equal to 155% of the original price
if
$16 ⇒100%
$x? ⇒155%
the relation is
[tex]\frac{16}{100}=\frac{x}{155}\\solve\ for\ x \\\frac{155*16}{100}=x\\x=\frac{2480}{100}\\ x=24.8[/tex]
the retail price is $24.8
Have great day.
Which statement describes the rate of change of the following function?
f(x) = -6x - 7
A.
The function has a varying rate of change when x < 7.
B.
The function has a constant rate of change, decreasing for all x at a rate of 6.
C.
The function has a varying rate of change when x < 6.
D.
The function has a constant rate of change, decreasing for all x at a rate of 7.
The correct answer is B. The function has a constant rate of change, decreasing for all x at a rate of 6.
In order to find the rate of change, we have to identify the slope. The slope is always the coefficient of x when in slope intercept form. In this case it is -6, which means it decreases at a rate of 6.
To describe the rate of change of the function \( f(x) = -6x - 7 \), we first need to understand that the rate of change in the context of a function, particularly a linear function, is another term for its slope.
Now, let's recall what the slope of a linear function means. A linear function is of the form \( y = mx + b \), where \( m \) is the slope, and \( b \) is the y-intercept. The slope \( m \) determines how steep the line is, and it represents the change in the y-value (the output of the function) for a unit change in the x-value (the input of the function).
Looking at the given function \( f(x) = -6x - 7 \), we can see it is in the same form as \( y = mx + b \), with the slope \( m = -6 \) and the y-intercept \( b = -7 \).
The slope being -6 means that for every one unit increase in \( x \), the function's value decreases by 6 units. This is a constant rate of change because it does not matter what the value of \( x \) is; the function will always decrease by 6 for every one unit increase in \( x \).
Now, let's examine the given statements:
A. The function has a varying rate of change when \( x < 7 \).
- This statement is incorrect because the slope is constant at -6, regardless of the value of \( x \).
B. The function has a constant rate of change, decreasing for all \( x \) at a rate of 6.
- This statement is correct; it accurately describes the behavior of a linear function with a slope of -6.
C. The function has a varying rate of change when \( x < 6 \).
- This statement is also incorrect because, once again, the rate of change (slope) is constant for all values of \( x \).
D. The function has a constant rate of change, decreasing for all \( x \) at a rate of 7.
- This statement is incorrect; the coefficient of \( x \) in the function, which represents the slope, is -6, not -7.
Based on our analysis, the correct answer is:
B. The function has a constant rate of change, decreasing for all \( x \) at a rate of 6.
Find the missing number to complete this division fact. 63 ÷ ∎ = 9
Hello AskMeBosh
The missing number in this equation is 7
This is because 9 * 7 is 63
So your answer would be 7
:)
63/7=9 the missing number is 7
How many numbers between 1 and 100 (inclusive) are divisible by 9 or 4?
There are 11 numbers divisible by 9 between 1 and 100, and 25 numbers divisible by 4 between 1 and 100. So there are 11 + 25 = 36, so 36 numbers divisible by one or the other, but this also includes every number which is divisible by both 9 and 4 twice.
Answer:34
Step-by-step explanation:
I had the answer on khaun academy
Approximate 221 ( square root) to the nearest hundredths.
A. 14.28
B. 15.52
C. 14.86
D. 12.89
Which is a correct verbal expression for 9+ n?
Nine plus a unknown number equals unknown.
Answer:
The sum of 9 and a number.
Step-by-step explanation:
Sum = Add.
9 = 9
Number = n
Hope this helps :-)
find the inverse function f -1 (x) for the given function f (x) plz don't write a random answer to get points this is the fourth time I have posted this I need actual help
The FunWorld Obstacle Course is scored by awarding 10 points for every activity that is passed and by deducting 5 points for every activity that is failed. Bob passed 4 activities and failed 3 activities. Tom passed 7 activities and failed 4 activities. Who got a higher score?
Bob passed 4 activities, so 4 x 10 = 40 points. He failed 3, so 3 x 5 = 15
Total points = 40-15 = 25 points.
Tom passed 7, so 7 x 10 = 70 points. He failed 4, so 4 x 5 = 20
Total points = 70-20 = 50 points.
Tom got a higher score.
Adam invests $6139 in a retirement account with a fixed annual interest rate compounded continuously. After 17 years the balance reaches $8,624.97. What is the interest rate of the account? Help! Working out required.
Answer:
2.38% annual interest rate
Step-by-step explanation:
We have the initial value that is $6139 and the final value that is $8,624.97 the initial value is a 100% and the final value is 100%+17x% where x is the annual interest rate, then:
[tex]\dfrac{8624,97\cdot 100\%}{6139\cdot (100\%+17x\%)}=1[/tex]
[tex]\dfrac{8624,97\cdot 100\%}{6139}=100\%+17x\%[/tex]
[tex]\dfrac{862497\%}{6139}-100\%=17x\%[/tex]
[tex]140.49\%-100\%=17x\%[/tex]
[tex]40.49\%=17x\%[/tex]
[tex]\dfrac{40.49\%}{17}=x\%[/tex]
[tex]2.38\%=x\%[/tex]
To find the interest rate of the account, you can use the formula for continuous compound interest, which is A = Pe^(rt). By plugging in the given values, you can solve for r and find that the interest rate is approximately 1.77%.
Explanation:To find the interest rate of the account, we can use the formula for continuous compound interest:
A = Pe^(rt)
Where:
A = final balanceP = initial investmente = Euler's numberr = interest ratet = time in yearsGiven that Adam invested $6139 and the balance after 17 years is $8624.97, we can plug in these values and solve for r:
8624.97 = 6139 * e^(17r)
Divide both sides of the equation by 6139:
e^(17r) = 8624.97 / 6139
Now, take the natural logarithm (ln) of both sides:
ln(e^(17r)) = ln(8624.97 / 6139)
Use the logarithmic property ln(e^x) = x to simplify the equation:
17r = ln(8624.97 / 6139)
Finally, divide both sides of the equation by 17 to solve for r:
r = ln(8624.97 / 6139) / 17
Using a calculator, we find that the interest rate of the account is approximately 0.0177, or 1.77%.
Learn more about Finding interest rate using continuous compound interest formula here:https://brainly.com/question/28524037
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Find the value of r so that the line through (1,4) and (-5,r) has a slope of 1/3
Final answer:
To determine the value of r for the line to have a slope of 1/3, the slope formula is applied and solved to find that r must be 2.
Explanation:
To find the value of r so that the line through the points (1,4) and (-5,r) has a slope of 1/3, we use the formula for the slope (m) of a line given two points (x1, y1) and (x2, y2): m = (y2 - y1) / (x2 - x1).
Step 1: Insert the known values into the slope formula
Slope (m) = 1/3, x1 = 1, y1 = 4, x2 = -5, y2 = r
1/3 = (r - 4) / (-5 - 1)
Step 2: Solve for r
1/3 = (r - 4) / (-6)
-2 = r - 4
r = 2
Therefore, the value of r is 2 for the line to have a slope of 1/3.
Evaluate the square root
[tex]\sqrt{a}=b\iff b^2=a\ for\ a\geq0\ and\ b\geq0\\\\\sqrt{\dfrac{1}{144}}=\dfrac{\sqrt1}{\sqrt{144}}=\dfrac{1}{12}\\\\\\\sqrt1=1\ because\ 1^2=1\\\\\sqrt{144}=12\ because\ 12^2=144[/tex]
can you solve the equation 2/3(4x-5)=8 by using the division property of equality? explain
Answer:
Yes, you can use the division property of equality in this equation.
Step-by-step explanation:
This is because we have a variable (x) that is being MULTIPLIED (by 4). The opposite of multiplication is division. Since this is an equation that needs properties of equality to solve the variable, division would be a property of equality being used.
Which is another way to express the problem 1 - (-7)
1+7
because when there are two negatives together you turn it into a positive and add
1 + 7
Because two negatives makes a positive. Hope this helps!
one integer is 5 more than another. their product is 50. Find the integers
To enter a local fair, one must pay an entrance fee and pay for the number of ride tickets he/she wants. Admission to the fair is given by the equation f(x) = .50x + 10, where x represents the number of tickets purchased and f(x) represents the total price. How much does each ride ticket cost?
A) $10
B) $0.50
C) $10.50
D) Not enough information.
It is B because they show the X variable next to the .50 cents meaning that this can change depending on how many the rider buys in this Equation.
Answer:
no the answer is a $10. i took the usatestprep :)
Step-by-step explanation:
What is the slope of this line?
The slope of this line is 1/4, because slope is rise/run. This line rises 1 for every 4 it runs. The slope is positive because the line is moving upward.
What is the sale price of the bicycle?
so if the original price of the bicycle is $360 and the sale price is 5/6 of that you would multiple $360 by 5/6 which equals 300 now thats NOT your final price you have one more step which is to subtract the sale (money off) the original price 360-60 so the sale price of the bicyle is $300
answer:
$300
step-by-step explanation:
our original price is $360 and we need find 5/6 of 360
our first step is to multiply 360 by 5 which is equal to 1,800
our next step is it divide by 6 which is equal to 300
so our sale price is $300
What is the solution set of {x|x<-5} n {x|x>5}?
[tex]\{x|x < -5\}\ \cap\ \{x|x > 5\}=\O[/tex]
Look at the picture.
The common part does not exist.
can y’all help please . i don’t know how to do this .
46 out of 310 seniors graduate with honors. What is the ratio of seniors graduating with honors to the total number of seniors
Final answer:
The ratio of seniors graduating with honors to the total number of seniors is 46/310, which simplifies to 23/155.
Explanation:
To find the ratio of seniors graduating with honors to the total number of seniors, you would divide the number of seniors graduating with honors by the total number of seniors. In this case, 46 seniors graduate with honors out of a total of 310 seniors.
Therefore, the ratio is 46/310, which can be simplified to 23/155 when reduced to the lowest terms.
How is graphing (0,12) different from graphing (12,0)
By graphing the given points we understood that (0,12) is on the y-axis and (12,0) is on the x-axis.
We need to explain how is graphing (0,12) different from graphing (12,0).
How to plot the point on the cartesian plane?Given a point, (a, b), you plot the point in the Cartesian plane by finding the number a on the horizontal, or x-axis; then you trace directly up or down from that spot, moving parallel to the vertical, or y-axis until you reach the height of the number b.
Now, plot (0,12) and (12,0) on the Cartesian plane.
In the graph plotted we can see (0,12) is on the y-axis and (12,0) is on the x-axis.
Therefore, by graphing the given points we understood that (0,12) is on the y-axis and (12,0) is on the x-axis.
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