Answer:
If two parallel lines are cut by a transversal, then corresponding angles are congruent. If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel.
Step-by-step explanation:
PLEASE ANSWER ASAP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER.
What is the volume of a right rectangular prism with length 10 units, width 5 units, and height 3 units?
18 units³
45 units³
80 units³
150 units³
Answer:
V=150
l Length
10
w Width
5
h Height
3
Step-by-step explanation:
hope im right!
Answer:
It is 150!
Step-by-step explanation:
Took the test!
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On a circle of radius 10 feet, what angle would subtend an arc of length 5 feet?
Answer:
Step-by-step explanation:
Please hurry I need help.
The length of a is 12, the length of b is 12, the length of c is 12√3 and the length of d is 24.
What is the value of the missing sides?The value of the missing sides is calculated by applying trig ratio as follows;
The trig ratio is simplified as;
SOH CAH TOA;
SOH ----> sin θ = opposite side / hypothenuse side
CAH -----> cos θ = adjacent side / hypothenuse side
TOA ------> tan θ = opposite side / adjacent side
The value of side a, b, c, and d is calculated as follows;
Sin 45 = a / 12√2
a = 12√2 x √2/2
a = 12
tan 45 = a/b
b = a/tan 45
b = 12/1
b = 12
tan 30 = a/c
c = a/tan 30
c = 12√3
sin 30 = a/d
d = a/sin30
d = 12/0.5
d = 24
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solve the formula A= pi r^2 for r
Answer:
sqrt(A/pi)= r
Step-by-step explanation:
A= pi r^2
Divide each side by pi
A/pi= pi r^2/pi
A/pi= r^2
Take the square root of each side
sqrt(A/pi)= sqrt( r^2)
sqrt(A/pi)= r
The value of r after solving A=pi\(r^{2}\) is \(\sqrt{A/Pi}\).
What is a Formula?A mathematical relationship or rule expressed in symbols.
How to solve a formula?We have been giving the following formula and we have to solve it for r means we have to find the value of r.
A=pi\(r^{2}\)
A/pi=\(r^{2}\)
r=\(\sqrt{A/Pi}\)
Hence the value after solving the formula A=Pi\(r^{2}\) is \(\sqrt{A/Pi}\)
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3. sasha is attending a school orchestra concert. she sees her math teacher seated 2
meters ahead of her and her science teacher seated 4 meters to her right. how far apart
are the two teachers? if necessary, round to the nearest tenth.
a. 2 meters
b. 2.4 meters
c. 4 meters
d. 4.5 meters
Answer:
To solve this problem, you will need to use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the math teacher is 2 meters ahead of Sasha and the science teacher is 4 meters to the right of Sasha, so we can draw a right triangle with one side being 2 meters long, one side being 4 meters long, and the hypotenuse being the distance between the two teachers.
Using the Pythagorean theorem, we can calculate the length of the hypotenuse as follows:
(hypotenuse)^2 = (2)^2 + (4)^2
hypotenuse = sqrt((2)^2 + (4)^2)
hypotenuse = sqrt(20)
hypotenuse = 4.47214
Rounding to the nearest tenth, the distance between the two teachers is approximately 4.5 meters. Therefore, the correct answer is d) 4.5 meters.
Step-by-step explanation:
Find the slope of the line graphed below.
Answer:
Step-by-step explanation:
Uh sorry but there is no picture here
Answer:
no graph is attached
Step-by-step explanation:
Which statement about geometric figures is true?
O A ray has exactly two endpoints.
O On a coordinate plane, parallel lines have the same slope.
O Two lines on a coordinate plane that do not intersect are perpendicular.
O An angle is formed by a set of points that are all equidistant from a common point.
Answer:
B
Step-by-step explanation:
On a coordinate plane, parallel lines have the same slope as geometric figures are true. Thus option B is correct.
What are geometric figures?Marks, splines, spheres, and curved are used to build enclosed geometric shapes. We can see these shapes all around us. Illustrations of geometric shapes include circles, rectangles, triangles, and others. Any configuration of points, columns, or angles is a geometry figure.
A point is the most fundamental algebraic concept because it has no boundaries. Simply put, a point upon that plane is a location. A dot is used to symbolize it. A plane can be identified by three non-straight-line points.
As two or much more vectors seldom cross each other and are located on the same dimension, these are said to be parallel. The slope of these lines is constant. Coplanar lines that seem to be parallel are the ones that don't cross. Therefore, option B is the correct option.
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Please help homework due
Answer:
X≤3
Step-by-step explanation:
This is because the arrow is moving down the number line
Find the surface area of the pyramid represented by this net.
square centimeters
Please help 20 points
Answer:
294cm²
Step-by-step explanation:
The formula for this problem is SA=1/2lp+B
SA = 1/2(10) 49 + 7²
= 245 + 49
= 294cm
If p is the hypothesis of a conditional statement and q is the conclusion, which is represented by q→p?
O the original conditional statement
O the inverse of the original conditional statement
O the converse of the original conditional statement
O the contrapositive of the original conditional statement
Answer:
(c) the converse of the original conditional statement
Step-by-step explanation:
If a conditional statement is described by p→q, you want to know what is represented by q→p.
Conditional variationsFor the conditional p→q, the variations are ...
converse: q→pinverse: p'→q'contrapositive: q'→p'As you can see from this list, ...
the converse of the original conditional statement is represented by q→p, matching choice C.
__
Additional comment
If the conditional statement is true, the contrapositive is always true. The inverse and converse may or may not be true.
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Can someone help me please
Answer:
HIIiiiiiiiiiiiiiiiiiiIIIIIIIIIIIIIiiiiiiiiiiiiIIIIIIIIIIIIIIII
Step-by-step explanation:
the study evaluated whether exposure to anticholinergic drugs was associated with dementia risk using data collected from an anonymized research database of more than 30 million individuals in over 1500 general practices that includes data recorded prospectively from routine health care. the data include demographic information, medical diagnoses, prescriptions, referrals, laboratory results, and clinical values. case patients were those diagnosed with dementia during follow-up, identified using clinical codes recorded in the practice records or linked office of national statistics death records. patients with prescriptions for acetylcholinesteraseinhibiting drugs (donepezil, galantamine,memantine, and rivastigmine) but without a recorded diagnosis of dementia were also included because these drugs are licensed only for patients with dementia. each case patient was matched to 5 controls by age (within 1 year), sex, general practice, and calendar time. the index date for controls was the date of diagnosis for their matched case patient. in total, 58 769 patients with a diagnosis of dementia were matched to 225 574 controls 55 years or older by age, sex, general practice, and calendar time. information on prescriptions for 56 drugs with strong anticholinergic properties was used to calculate measures of cumulative anticholinergic drug exposure. data were analyzed from may 2016 to june 2018. is this an experimental, quasiexperimental, or observational study?
Experimental studies involve the manipulation of variables, and quasi-experimental studies involve some level of intervention but lack full control or randomization.
An observational study.
In an observational study, researchers collect data without intervening or manipulating any variables.
The study evaluated the association between exposure to anticholinergic drugs and dementia risk using existing data collected from an anonymized research database of more than 30 million individuals in over 1500 general practices. The data includes demographic information, medical diagnoses, prescriptions, referrals, laboratory results, and clinical values.
Case patients were those diagnosed with dementia during follow-up, and each case patient was matched to 5 controls by age, sex, general practice, and calendar time.
The study used information on prescriptions for 56 drugs with strong anticholinergic properties to calculate measures of cumulative anticholinergic drug exposure.
The data were analyzed from May 2016 to June 2018.
Since the researchers did not manipulate any variables or treatments and only analyzed existing data, it is considered an observational study.
The study uses data collected from a research database of routine healthcare, rather than manipulating variables in a controlled setting.
The researchers observed the exposure to anticholinergic drugs in patients and followed them over time to evaluate the association with dementia risk.
The study did not involve the manipulation of any variables, which is characteristic of experimental or quasi-experimental studies.
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This is an observational study which we can infer from the given data in the question.
This is an observational study. In this study, the researchers evaluated the association between exposure to anticholinergic drugs and dementia risk using data collected from a large database. They identified case patients with dementia and matched them with controls based on age, sex, general practice, and calendar time. The researchers did not manipulate any variables or randomly assign participants to groups, which is characteristic of an observational study.
When conducting an observational study, researchers observe and gather data on a group of people or subjects without interfering or changing any of the factors. An observational study's objective is to identify and evaluate patterns, behaviours, or occurrences without modifying or altering them.
Observational studies can be carried out in a variety of locations, including the outdoors, businesses, homes, and communities. The social sciences, epidemiology, psychology, and medicine are just a few of the disciplines in which they might be applied.
The two subtypes of observational studies are prospective and retrospective. In a prospective observational study, a group of people is tracked over time as information is gathered on their behaviours, exposures, and results. On the other hand, a retrospective observational study looks back in time and gathers information.
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Suppose you start with a full tank of gas (17 gallons) in your truck. After driving 6 hours, you now have 10 gallons left. If x is the number of hours you have been driving, then y is the number of gallons left in the tank. At what rate is the gas left in the tank changing
The rate at which the gas left in the tank is changing is -1 gallon per hour.
To find the rate at which the gas left in the tank is changing, we need to calculate the derivative of y (the number of gallons left) with respect to x (the number of hours driven).
Given that after 6 hours, you have 10 gallons left, we can use this information to find the rate of change.
First, let's find the initial amount of gas left in the tank after x hours. The initial amount of gas is 17 gallons, so the equation is y = 17 - x.
Now, let's find the rate of change by taking the derivative of y with respect to x: dy/dx = -1.
Therefore, the rate at which the gas left in the tank is changing is -1 gallon per hour.
In summary, the rate at which the gas left in the tank is changing is -1 gallon per hour.
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A company has 440,000 shares outstanding that sell for $98.48 per share. The company plans a 6-for-1 stock split. Assuming no market imperfections or tax effects, what will the stock price be after the split?
After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.
A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.
To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:
$98.48 / 6 = $16.41
Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.
It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.
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1. The area of a rectangle is 45.5 square inches. The base of the rectangle is 7 inches. What is the height of the rectangle in inches?
2. A pharmacist put 4.536 ounces of vitamin pills into bottles in total. She put 0.043 ounces of vitamin pills into each bottle. How many bottles did the pharmacist use for these vitamin pills?
3. A baby weighed 7.25 lb at birth. At the end of 8 months, the baby weighed 2 3/4 times its birth weight. How many pounds did the baby weigh at the end of 8 months? Round your answer to the nearest tenth.
4. A recipe for cookies requires 2/3 cup of butter.
Rama wants to make 3/4 of the recipe. How many cups of butter should Rama use to make the cookies?
5. Ryan had a whole pizza. He ate 1/8 of the pizza for lunch and another 1/4 of the pizza for dinner. Write the fraction that represents how much of the pizza Ryan did not eat.
6. A sea turtle made 460 dives in 12 hours. At this rate, how many dives did the sea turtle make in 3 hours?
Also, can you help with the expression, solution, and work?
Using given area and base length of a rectangle we got that the height of the given rectangle is 6.5 inches.
What is the area of a rectangle?Rectangle is closed geometric figure that has four perpendicular sides with opposite sides equal.
The formula for the area of the rectangle :
Area of the rectangle = Length × Breadth
Given that the area of a rectangle is 45.5 square inches.
The base of the rectangle is given 7 inches
To find : Height of the rectangle
Let the base length is the length of the rectangle and height is the Breadth of the rectangle.
Then, Area of the rectangle = Length × Breadth
⇒ 45.5 = 7 × Height
⇒ 45.5 /7 = Height
⇒ 6.5 = Height of the rectangle
Therefore, the height of the rectangle is 6.5 inches.
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what is 4.768 as a common fraction
Answer:
\( \frac{596}{125} \)
should be it
NOBODY HELPS ME PLZZ HELP ME
Answer:
I think the answer is A)
if im wrong tell me the right answer in the comments
Step-by-step explanation:
Parker just started a running plan where he runs 16 miles the first week and then
increases the number of miles he runs by 5% each week. If he keeps up this plan for 5
weeks, how many total miles would Parker have run, to the nearest whole number?
The total number of miles that Parker would have to run is given as follows:
88.41 miles.
What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.
As the number of miles increases by 5% each week, the common ratio is obtained as follows:
100% + 5% = 105% = 1.05.
Hence the number of miles each week is given as follows:
16 miles.16 x 1.05 = 16.8 miles.16.8 x 1.05 = 17.64 miles.17.64 x 1.05 = 18.52 miles.18.52 x 1.05 = 19.45 miles.Then the total number of miles is given as follows:
16 + 16.8 + 17.64 + 18.52 + 19.45 = 88.41 miles.
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How many pounds of turkey?
Answer:
11.25pounds
Step-by-step explanation:
Each person is eating two, 3/8
so 2x3/8=0.75 or 3/4
then do 3/4 x 15 = 11.25 pounds and for the price you do 11.25 x 1.05$ which is 11.81$ worth of turkey
What are two ways to start solving this equation? Choose BOTH ways.
Answer:
Step-by-step explanation:
use the distributive propriety to get 4c -12 = 8
divide both sides by 4 to get c-3 =2
can you please help me?
The net represents a triangular pyramid or tetrahedron which is three dimensional object.
The three-dimensional object you are describing with top and bottom triangles and three square faces is a triangular pyramid or a tetrahedron.
A tetrahedron is a polyhedron with four triangular faces, six edges, and four vertices. It has a triangular base and three triangular faces that meet at a common vertex (apex) opposite the base.
If you consider the triangular base as the bottom face, and the triangle meeting at the apex as the top face, then the three remaining faces are squares.
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x^3=-115 pleasess i need the answer now
Answer:
x = -∛115
Step-by-step explanation:
x^3 - (-115) = 0
= x^3 + 115
Factoring
(a+b) • (a^2-ab+b^2) =
a^3-a^2b+ab^2+ba^2-b^2a+b^3 =
a^3+(a^2b-ba^2)+(ab^2-b^2a)+b^3=
a^3+0+0+b^3=
a^3+b^3
(115 isn't a cube.)
Polynomial roots
P: -1, -5, -23, -115, 1, 5, 23, 115
Q: 1
P/Q: -1, -5, -23, -115, 1, 5, 23, 115
Divisor(s): None
In these sets of data, there are no rational roots shown.
Step-by-step explanation(part 2):
x^3 + 115 = 0
x^3 = -115
x = ∛-115
Negative numbers will always have real cube roots.
∛ -115 = ∛ -1 × 115 = ∛ -1 × ∛ 115 = (-1) × ∛ 115
Therefore,
x = -∛115
Solve for x. *
40
15
50
10
\(\huge \bf༆ Answer ༄\)
The Angles marked there forms linear pair, and therefore they add up to be equal to 180°
That is ~
\( \sf2x + 30 + x = 180\)\( \sf3x + 30 = 180\)\( \sf3x = 180 - 30\)\( \sf x = 150 \div 3\)\( \sf x = 50 \degree\)Therefore, value of x is 50°
Calculate the volume of oil exiting the pipe every hour: Calculate the volume of oil exiting the pipe every day: Convert cu in/day to cubic feet per day: cu. in/hour cu in/day cu ft/day
The volume of oil exiting the pipe is approximately 100 cu in/hr, 2,400 cu in/day, and 1.39 cu ft/day when converting cu in/day to cubic feet per day.
To calculate the volume of oil exiting the pipe every hour, you would need to know the flow rate of the oil in cubic inches per hour. Let's assume the flow rate is 100 cubic inches per hour.To find the volume of oil exiting the pipe every day, you would multiply the flow rate by the number of hours in a day. There are 24 hours in a day, so the volume of oil exiting the pipe every day would be 100 cubic inches per hour multiplied by 24 hours, which equals 2,400 cubic inches per day.
To convert the volume from cubic inches per day to cubic feet per day, you would need to divide the volume in cubic inches by the number of cubic inches in a cubic foot. There are 1,728 cubic inches in a cubic foot. So, dividing 2,400 cubic inches per day by 1,728 cubic inches per cubic foot, we get approximately 1.39 cubic feet per day.
Therefore, the volume of oil exiting the pipe is approximately 100 cubic inches per hour, 2,400 cubic inches per day, and 1.39 cubic feet per day.
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ANSWER QUICK NOWWWWWWWWWW! IMPORTANT TEST
Answer:
The answer is the third graph.
Step-by-step explanation:
Since we are looking for a constant balance, we should focus on the line in the graph. In graph 3, we see a line going straight horizontally, without any inclines or declines. Since the word "constant" in Mathematics is a line that has a slope of 0, the answer must be the third graph.
Solve for n.
n+1 = 4(n-8)
On=1
O n = 8
d
n = 11
n = 16
Answer:
n=11
Step-by-step explanation:
In an appendix to Introduction to Algebraic Curves, Griffiths sketches a
proof of the following statement. If C is a compact complex Riemann surface, then there exists an immersion of C into P2 such that f(C) is an algebraic curve with
at most double points as singularities. Since he uses this result for his development of the theory, he has to prove
this using elementary methods. Prove this result now using whatever we learned so far about Riemann sur-
faces and algebraic geometry.
By the Riemann-Roch theorem, we know that for any compact Riemann surface C, there exists a line bundle L on C such that h⁰(C, L) ≥ deg(L) + 1.
What is a compact complex Riemann surface?By the Riemann-Roch theorem, we know that for any compact Riemann surface C, there exists a line bundle L on C such that h⁰(C, L) ≥ deg(L) + 1. Consider the projective space P(H⁰(C, L)) associated with the space of holomorphic sections of L.
By the Kodaira embedding theorem, there exists an immersion f: C -> P(H⁰(C, L)) such that f(C) is an algebraic curve. Moreover, since f maps C into projective space, it naturally avoids triple points and higher.
f(C) only has double points or less as singularities, proving the desired result.
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division as fractions
Answer:
what this isnt a question plz fix this then I'll anwser
Answer:
Are you asking for the definition? If so
Step-by-step explanation:
A whole number is part of a fraction. A fraction has to parts EX: 5/4
5 would be the numerator and 4 is denominator
Dividing a fraction and another fraction would be just like multiplying fractions. Reverse of the other
Hope this helped! Maybe be more specific next time? Anyways hope you have a wonderful day! :)) <33
if the expression above is written in the form a bi, where a and b are real numbers, what is the value of b?
The required, expression -7 + 24i with the form a + bi, we can see that the value of b is 24.
To find the value of b in the expression (3 + 4i)^2, we can simply expand the expression and identify the coefficient of the imaginary part.
(3 + 4i)² = (3 + 4i)(3 + 4i)
Using the FOIL method, we can multiply the terms:
= 3 * 3 + 3 * 4i + 4i * 3 + 4i * 4i
= 9 + 12i + 12i + 16i²
Since i² is defined as -1, we can substitute it:
= 9 + 12i + 12i - 16
= -7 + 24i
Comparing the expression -7 + 24i with the form a + bi, we can see that the value of b is 24.
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Complete question:
(3+4i)²
if the expression above is written in the form a+ bi, where a and b are real numbers, what is the value of b?
prove the identity. 1 tanh(x) 1 − tanh(x) = e2x
proved the identity:
\(1/tanh(x) - 1/cosh^2(x) = e^{2x}\)
How to prove given identity?We can start by manipulating the left-hand side of the equation:
\(1 - tanh(x) = sech^2(x)\) (using the identity\(tanh^2(x) + sech^2(x) = 1)\)
Therefore, we have:
\(1 - tanh(x) = 1/cosh^2(x)\)
Substituting this into the original equation, we get:
\(1/tanh(x) - 1/cosh^2(x) = e^(2x)\)
Multiplying both sides by sinh^2(x), we get:
\(sinh^2(x)/tanh(x) - sinh^2(x)/cosh^2(x) = e^{2x}*sinh^2(x)\)
Using the identity \(sinh^2(x) = (cosh(2x) - 1)/2 , cosh^2(x) = (cosh(2x) + 1)/2,\)we can simplify the left-hand side:
\((cosh(2x) - 1)/sinh(x) - (cosh(2x) - 1)/(cosh(2x) + 1) = e^{2x}*(cosh(2x) - 1)/2\)
Multiplying both sides by (cosh(2x) + 1), we get:
\((cosh(2x) - 1)(cosh(2x) + 1)/sinh(x) - (cosh(2x) - 1) = e^{2x}(cosh(2x) - 1)*(cosh(2x) + 1)/2\)
Simplifying the left-hand side further:
\((cosh^2(2x) - 1)/sinh(x) - (cosh(2x) - 1) = e^{2x}*sinh(2x)^2/2\)
Using the identity sinh(2x) = 2*sinh(x)*cosh(x), we can simplify further:
\((cosh^2(2x) - 1)/sinh(x) - (cosh(2x) - 1) = 2*e^{2x}sinh(x)^2cosh(x)^2\)
Using the identity\(cosh^2(x) - sinh^2(x) = 1\), we can simplify the left-hand side:
\(cosh(2x)/sinh(x) = 2*e^{2x}sinh(x)^2cosh(x)^2\)
Using the identity \(cosh(x)/sinh(x) = 1/tanh(x),\) we can simplify further:
\(2/tanh(2x) = 2*e^{2x}sinh(x)^2cosh(x)^2\)
Simplifying the right-hand side using the identity
\(sinh(2x) = 2*sinh(x)*cosh(x),\)we get:
\(2/tanh(2x) = e^{2x}*(sinh(2x)/2)^2\)
Using the identity\(sinh(2x) = 2*sinh(x)*cosh(x)\)again, we can further simplify:
\(2/tanh(2x) = e^{2x}*(sinh(x)*cosh(x))^2\)
Using the identity\(tanh(2x) = 2*tanh(x)/(1 + tanh^2(x))\), we can simplify the left-hand side:
\(1 + tanh^2(x) = 2/e^{2x}\)
Substituting this into the identity above, we get:
\(1/tanh(x) - 1/cosh^2(x) = e^{2x}\)
Therefore, the identity is true.
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