12. The point P lies on a line through the midpoint of AB and perpendicular to AB. If AP=15 in., what is the length PB? How do you know?
Answer:
PB = 15
Step-by-step explanation:
A midpoint is a point in the center of a line. Since P is the midpoint of AB, the length of AP = PB. Therefore, if AP = 15, PB = 15.
do all straight lines that are functions have inverses?
Answer: Not all Functions have a inverse
Happy To Help :)
Step-by-step explanation:
Which of these people has balanced their checkbook correctly?
a.) Gary: The balance in his check register is $500 and the balance in his bank statement is $500.
b.) Gail: The balance in her check register is $400 and the balance in her bank statement is $500.
c.) Gavin: The balance in his check register is $500 and the balance in his bank statement is $510.
Gary has balanced checkbox correctly from the given people Gail and Gavin.
What is Checkbox ?
A checkbook is a folder or small e book containing preprinted paper gadgets issued to bank account holders and used to pay for goods or services. A checkbook consists of sequentially numbered checks that account holders can use as a bill of change.
from the given data ,
who has balanced checkbook can be said if their's balance in check register and balance in bank statement is same.
Hence , Gary has the balance in his check register and balance in his bank statement same than the other people.
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What is the solution to this system of equations?
3x-2y=5
x+2y=7
x=_, y=_
Step 1) Solve the second equation for
x
:
x
+
3
y
=
−
5
x
+
3
y
−
3
y
=
−
5
−
3
y
x
+
0
=
−
5
−
3
y
x
=
−
5
−
3
y
Step 2) Substitute
−
5
−
3
y
for
x
in the first equation and solve for
y
:
3
(
−
5
−
3
y
)
−
2
y
=
7
−
15
−
9
y
−
2
y
=
7
−
15
−
11
y
=
7
15
−
15
−
11
y
=
15
+
7
0
−
11
y
=
22
−
11
y
=
22
−
11
y
−
11
=
22
−
11
−
11
y
−
11
=
−
2
y
=
−
2
Step 3) Substitute
−
2
for
y
in the solution to the second equation at the end of Step 1 and calculate x:
x=−5−(3×−2)
x=−5−(−6)
x=−5+6
x=1
The solution is x=1 and y=−2
Answer:
Step-by-step explanation:
josh+is+purchasing+a+$360,000+house+and+needs+to+obtain+a+$280,000+loan+to+close+on+the+property.+how+much+will+josh+pay+as+a+loan+origination+fee+if+the+lender+charges+a+fee+of+0.75%?
Josh will pay a loan origination fee of $2,100 if the lender charges a fee of 0.75%.
To calculate the loan origination fee, we need to multiply the loan amount by the lender's fee percentage.
Loan origination fee = Loan amount x Lender's fee percentage
In this case, the loan amount is $280,000 and the lender's fee percentage is 0.75%.
Loan origination fee = $280,000 x 0.0075
Loan origination fee = $2,100
Therefore, Josh will have to pay a loan origination fee of $2,100.
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how to do this question plz?
Answer:
y+y-8=<41,I think that's the answer
RANDOM QUESTION!
How would I right the absolute value on my computer for an equation?? is there an alt code or a substitute?
Answer: On most computer keyboards, you can find the "|" symbol above the backslash, which looks like "
Step-by-step explanation:To type it, simply hold down the shift key and strike the backslash key.
Answer: Typing the Absolute Value Sign
this is for free right?
Step-by-step explanation:
On most computer keyboards, you can find the "|" symbol above the backslash, which looks like " ". To type it, simply hold down the shift key and strike the backslash key.
Write two numbers that multiply to the value on top and add to the value on bottom.
Answer:
9 and 2
Step-by-step explanation:
...............
Answer and Step-by-step explanation:
The answer is 9 and 2.
9 times 2 will equals 18.
9 plus 2 equals 11.
#teamtrees #PAW (Plant And Water)
How many 4/5 Cup servings are in 2/5 of a cup of ice cream Is the simplest fraction form
yes.4/5=cannot simplify.2/5 can not simplify
i need help pleaseeee
Answer:
line e
Step-by-step explanation:
the y-axis is vertical and tht is the only vertical line on there
Answer:
Line e
Step-by-step explanation:
Line e passes through point h and is parallel to the y axis.
When two lines are parallel, that means that both lines move in the same direction and never meet.
Find the value of x.
.
10
7
Answer:
X = 12.21
Step-by-step explanation:
Since this is a right triangle, use the formula A^2 + B^2 = C^2 and plug in appropriate values.
(10)^2 + (7)^2 = C^2
100 + 49 = C^2
149 = C^2
12.2065 = C
Rounded to two decimal places, this makes X equal to 12.21.
The required value of x is 12.21 for the given right triangle.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
Since this is a right triangle, use the formula A² + B² = C² and substitute appropriate values.
(10)² + (7)² = x²
100 + 49 = x²
149 = x²
x = √149
x = 12.2066
Rounded to two decimal places,
x = 12.21
Therefore, the required value of x is 12.21.
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hiiiiiiiiiiiiiiiiiii
Even though I already got the question right,I need someone to show the work on how to get the answer for this question.
Given
Answer
\(\begin{gathered} \sin x=\frac{P}{H} \\ \sin x=\frac{5}{8.3} \\ x=\sin ^{-1}(\frac{5}{8.3}) \end{gathered}\)Which is triangle 2
Alanna went for a run. She ran ddd kilometers at an average speed of vvv kilometers per hour, and then walked to cool down for 0.250.250, point, 25 hours. The total duration of the trip was ttt hours. Write an equation that relates ddd, vvv, and ttt.
This equation tells us that the distance Alanna ran (ddd) is equal to her average speed (vvv) multiplied by the time she spent running (ttt - 0.25).
To find the equation that relates ddd, vvv, and ttt, we need to use the formula for average speed, which is:
Average speed = distance ÷ time
In this case, Alanna ran ddd kilometers at an average speed of vvv kilometers per hour, so we can write:
vvv = ddd ÷ t1
where t1 is the time it took Alanna to run ddd kilometers.
After running, Alanna walked to cool down for 0.25 hours, so the total time for the trip was ttt = t1 + 0.25. We can substitute this into our equation to get:
vvv = ddd ÷ (ttt - 0.25)
Finally, we can rearrange this equation to solve for ddd:
ddd = vvv × (ttt - 0.25)
So the equation that relates ddd, vvv, and ttt is:
ddd = vvv × (ttt - 0.25)
This equation tells us that the distance Alanna ran (ddd) is equal to her average speed (vvv) multiplied by the time she spent running (ttt - 0.25).
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can someone pls help
The required area of the parallelogram and pentagon is 91 unit² and 75 unit².
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
A parallelogram in is shown in figure 1 with the dimensions height = 7 and base = 13,
Area of the parallelogram = 13 × 7 = 91 unit²
Now,
A pentagon is shown in figure 2,
Area of the pentagon = 5 [1/2 × height × side]
= 5 [1/2 × 5 × 6]
= 75 suqare units.
Thus, the required area of the parallelogram and pentagon is 91 unit² and 75 unit².
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NEED HELP QUICK <3
140 is what percent less than 160?
Answer:
Step-by-step explanation:
Step 1: We make the assumption that 160 is 100% since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100%=160
Step 4: In the same vein, = x%=140.
Step 5: This gives us a pair of simple equations:
100%=160(1).
x%=140(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100% / x% = 160 / 140
Step 7: Taking the inverse (or reciprocal) of both sides yields
x% / 100% = 140 / 160
x% = 87.5%
therefore, 140 is 87.5% of 160
We obtain that 140 is 12.5% percent less than 160.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, 140 is some percent less than 160 to obtain this we'll subtract (140/160)×100% from 100% which is,
= 100% - (140/160)×100%.
= 100% - 87.5%.
= 12.5%
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PLEASE HELP 50 PTS!!!
John Photo is filing as a single individual. He is not married and has no children, nor is he a dependent.
His social security number. It is 039-29-7319.
His address is 979 W 45th Street, New York, New York 55555. You may skip down to line 1.
On line 1 enter $45,000.00 . These are his wages from his only job.
On line 2b enter $150.00 for taxable interest from his savings account.
On line 9 follow the instructions given. This will also be the same value on line 11
On line 12a use the standard deduction for filing single. This value will also be placed on lines 12c and 14.
On line 15 follow the instructions. This is John's taxable income.
On line 16, you will need to access the tax table using the instructions for the 1040. Look at the documents table of contents and click on tax table. Find John's range of salary and enter the value in the column for
singles. This is how much federal tax John should pay. Click here for access to the tax table. This value will also need to be recorded on line 24.
On line 25a enter $3865 which is the amount of federal taxes that John paid according to his W-2 form. These are the taxes that have already been taken out of his paycheck. Also enter this value on lines 25d and
line 33.
On line 34 follow the instructions and enter the value on the line as well as on line 35a. This is the amount that John will be refunded.
Answer: you would have somewhat $41.000 to $42.000
The graph represents the cost of a medical
treatment, in dollars, as a function of time,
d, in decades since 1978.
Find the cost of the treatment, in dollars,
when d = 1. Show your reasoning.
The question is an illustration of an exponential function
The cost of treatment when d = 1 is $273
How to determine the cost of treatmentFrom the graph, we have the following ordered pairs
(x,y) = (0,150) and (0.5,202.5)
The graph represents an exponential function:
\(y = ab^x\)
When (x,y) = (0,150), the equation becomes
\(150 = ab^0\)
\(a=150\)
When (x,y) = (0.5,202.5), the equation becomes
\(202.5 = ab^{0.5}\)
Substitute 150 for a
\(202.5 = 150b^{0.5}\)
Divide both sides by 150
\(1.35 = b^{0.5}\)
Square both sides
\(b = 1.82\)
So, the equation of the graph is:
\(y = 150 * 1.82^x\)
When x = 1, we have:
\(y = 150 * 1.82^1\)
\(y = 273\)
Hence, the cost of treatment when d = 1 is $273
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somebody help please i'll mark brainliest
Answer:
The answer is B, the second one.
Angle b and angle c are complementary. If angle b is five times the size of angle c which equation can be used to find the measure of angle c?.
If angle b is five times the size of angle c, the equation can be used to find the measure of angle is 5x+x=90°.
because complementary angles complete each other to 90 degrees.
How to find equation aboveThese angles b and c add up to 90° because they are complementary.
Let's say angle C is named x.
angle b is five times the size of angle c, this can be written: 5x
Complementary angles add up 90°, so angle B add angle C equal 90°
the equation to find the measure of angle C is 5x+x = 90°.
Definition of AngleTypes of angles are one of the materials in mathematics that you always encounter at every level of education. Learning about angles is very important, because angles are always present in everyday life and need to be identified.
An angle is a shape formed by two rays having an endpoint at one point. In angles, terms such as the leg of the angle, vertex, and area of the angle are also found.
The legs of the angle are the lines forming the angle. The vertex is the point where the two legs of the angle intersect, and the area of the angle is the area bounded by the two legs of the angle.
Your question is incomplete but most probably your full question was:
Only Interaction Angle B and angle C are complementary: If angle B is five times the size of angle C which equation can be used to find the measure of angle C?
5x+x=180
5x = 180
5x+x=9
5x = 90
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In terms of the cosecant of a positive acute angle, what is the expression for csc 240°?
Answer:
- csc60°
Step-by-step explanation:
240° is in the third quadrant where csc < 0 , thus
csc240° = - csc(240 - 180)° = - csc60°
The expression for cosec 240° in terms of the cosecant of a positive acute angle is -cosec 60°.
What is the value of cosec (180°+α)?The value of cosec (180°+α) is -cosec α because (180°+α) lies in the third quadrant and in the third quadrant cosecant is negative.
So, cosec 240° = cosec (180°+60°)
cosec (180°+α) = -cosec α
So, cosec (180°+60°) = -cosec 60°
Thus, the expression for cosec 240° in terms of the cosecant of a positive acute angle is -cosec 60°.
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(rounding) 0.46. whats the nearest tenth?
Answer:
0.5
Step-by-step explanation:
4 is in the tenths place and 6 is in the hundredths place
Since the digit in the hundredths place (6) is greater than or equal to 5, add 1 to the digit in the tenths place (4)
1 + 4 = 5, so the digit in the tenths place becomes 5
The digit in the hundredths place is dropped
0.46 rounded to the nearest tenth (one decimal place) = 0.5
A triangle ABC has the coordinates A (0, 3), B (3, 0), C (-3, 0). If you translate the triangle 3 units right and 2 units down, what are the coordinates of A´? Choose the best answer from the options below:
A (1, 3)
B (-1,-3)
C (3, 1)
D (-1, 3)
Answer: C(3,1)
Step-by-step explanation:
A'(0+3,3-2)=A'(3,1)
Which types of triangles can always be used as a counterexample to the statement "all angles in a triangle are acute"? Select all that apply.
obtuse
scalene
right
isosceles
acute
equilateral
The types of triangles which can be used as a counterexample to the statement " all angles in a triangle are acute " are:
Obtuse
Right
How to find the counter example?Counter example in math's is defined as an attempt at showing that a mathematical statement is false.
Now, in this case we want to find the counter example that all angles in a triangle are acute angles.
Now, an acute angle is defined as an angle that is less than 90 degrees.
Now, A right angle fits the counter example statement because at least one angle is not less than 90 degrees.
Similarly, an Isosceles triangle does not fit the counter example argument because in an isosceles triangle, two angles are equal and it is possible for three of the angles to be less than 90 degrees.
An obtuse triangle means that one of the angles are greater than 90 degrees and as such this fits our counter example.
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Pedro and Amelia share a common investment goal and once they reach their goals, they will withdraw their money.
Amelia starts out with twice as much money as Pedro and it takes Pedro 6 times longer than Amelia to reach this goal.
They both use the same bank that provides a 4% annual interest rate compounded quarterly.
Work out how long it takes Pedro to reach his investment goal.
The number of years that Pedro took to reach his investment goal will be 52.5 years.
What is compound interest?A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
A = P(1 + r)ⁿ
Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.
Amelia and Pedro have the same financial objective, and if they achieve it, they will withdraw their funds. Pedro starts off with twice as much money as Amelia, but it takes him six times as long to get there. Both of them use the same bank, which offers a 4% annual interest rate that is compounded every three months. Next, we have
n' = 4n
r/4 = 2 x 0.04 / 4 = 0.02
Let x be the amount of money invested by Pedro. Then the amount of money invested by Amilia will be 2x.
Let n be the number of years. Then for Pedro, the number of years will be 6n.
Then the equation when investment gets doubled will be
4x = 2x(1 + 0.02)⁴ⁿ
2 = 1.02⁴ⁿ
Taking log on both sides, then we have
ln 2 = 4n ln 1.02
4n = 35
n = 8.75 years
Then the number of years that Pedro took to reach his investment goal will be
6n = 6 x 8.75 = 52.5 years
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x^2+y^2-11-10x=0 is the equation of a circle, which is the equation in standard form?
Answer:
3) (x-5)^2+y^2=36
Step-by-step explanation:
If x = 8, what is the value of x(17 - x)?
Answer:
72
Step-by-step explanation:
all we have to do, is subsitute 8 whenever we see an x in the equation
x(17-x)
8(17-8)
8(9)
=72
Answer:
QUESTION:
If x = 8, what is the value of x(17 - x)?
ANSWER:
x( 17 - x) = ?
8( 17 - 8) = ?
8 X 17 = 136
8 X (-8) = -64
Final answer:
136 - 64 = 72
Step-by-step explanation:
Hope that this helps you out! :)
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A man mows his 100 ft by 200 ft rectangular lawn in a spiral pattern starting from the outside edge. After a bit of hard work he stops for a water break, he is 40.5% done. How wide of a strip has he mowed around the outside edge
Based on the length and width of the rectangular lawn, and the percentage the man has mowed, the strip width would be 40.5 m.
what is the width of the strip mowed already?first, find the area of the lawn:
= 100 x 200
= 20,000 ft²
the area mowed is:
= 40.5% x 20,000
= 8,100 ft²
the width is therefore:
= 8,100 / 200
= 40.5 m
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PLEASE HELP ME ASAP!
Based on the information in the table, is the relationship between pens and the number of boxes a proportional relationship? Why?
The table is shown below.
PENS : 3 - 6 - 9 - 12
BOXES : 1 - 2 - 3 - 4
Answer:
Yes
Step-by-step explanation:
for pens you are adding 3 each time
for boxes you are adding 1 each time
it is correct because they all have the same unit rate
3/1=3
6/2=3
9/3=3
12/4=3
The price p (in dollars) and the quantity x sold of a certain product obey the demand equation p=−1/6x+100. Answer parts (a) through (e). R≈$ (Round to the nearest hundredth as needed.)
The answers to parts (a) through (e) will depend on the specific values given for **x** or **R** in the problem statement. Without specific values, we can't provide numerical answers, but the methodology for solving each part is outlined above.
(a) The demand equation given is **p = -1/6x + 100**. To find the price when the quantity sold is **x**, we can substitute the value of **x** into the equation and solve for **p**.
(b) To find the quantity sold when the price is **R** dollars, we can rearrange the demand equation **p = -1/6x + 100** and solve for **x**.
(c) To find the price elasticity of demand at a quantity of **x**, we need to differentiate the demand equation with respect to **x** and then multiply it by **x/p**.
(d) To find the revenue function **R(x)**, we multiply the price **p** by the quantity **x**.
(e) To find the revenue-maximizing quantity, we can differentiate the revenue function **R(x)** with respect to **x**, set it equal to zero, and solve for **x**.
It's important to note that the final answers to parts (a) through (e) will depend on the specific values given for **x** or **R** in the problem statement. Without specific values, we can't provide numerical answers, but the methodology for solving each part is outlined above.
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