Answers
Answer:
a is matched with 3
b is matched with 6
c is matched with 2
d is matched with 1
e is matched with 4
f is matched with 5
Step-by-step explanation:
a. line AB is the radius because it connects from the center of the circle to a point on the circumference of the same circle
b. line CD is a chord because it connects two pints of the circle
c. Arc AD is a semi circle because it covers exactly half the circle since line AD is the diameter
d. Angle CDA is an inscribed angle
e. Arc AC is a minor arc because it covers less than 180 degrees
f. Angle ABC is a central angle
Related Questions
Which statement is not true about thw absolute value of -6
Answers
What is the ratio of 1000g : 4^1/2kg
Answers
We know that
1000 g= 1 kg
\(4\frac{1}{2}kg=\frac{9}{2}\text{ kg}\)Therefore,
\(\begin{gathered} 1000g\colon4\frac{1}{2}kg=1\colon\frac{9}{2} \\ =2\colon9 \end{gathered}\)Hence, the ratio is 2:9.
A jeweler purchases a necklace for $80. She will increase the cost by 50% to sell in her
store. What will the jeweler charge for the necklace to her customers?
Answers
Answer:
120
Step-by-step explanation:
First find the markup
80 * 50%
80*.5
40
Add this to the original cost
80+40
120
The price will now be 120
The scatter plot shows the time spent watching TV, x, and the time spent doing homework, y, by each of 24 students last week.
(a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit.
(b) Using your equation from part (a), predict the time spent doing homework for a student who spends 15 hours watching TV.
Help please!!!!
Answers
Answer:
y = - 0.833 + 29.5
y = 17
Step-by-step explanation:
Drawing a best fit line through the data points:
The approximate regression model would have an intercept of about 29.5
The slope = Rise / Run = (y2 - y1) / (x2 - x1)
The slope = (5 - 25) / (27 - 3) = 20 / 24 = -0.8333
The regression equation is thus :
y = mx + c
m = slope ; c = intercept
y = - 0.833 + 29.5
B)
x = 15
y = - 0.833(15) + 29.5
y = -12.5 + 29.5
y = 17
Approximately 17 hours watching TV
The mean cost of a five pound bag of shrimp is 40 dollars with a standard deviation of 8 dollars.
If a sample of 49 bags of shrimp is randomly selected, what is the probability that the sample mean would be less than 37.4 dollars? Round your answer to four decimal places.
Answers
Answer:
The mean of the sample distribution of the sample mean is the same as the population mean, which is 40 dollars. The standard deviation of the sample distribution of the sample mean (also called the standard error) is given by:
standard error = standard deviation / sqrt(sample size) = 8 / sqrt(49) = 8 / 7
To find the probability that the sample mean would be less than 37.4 dollars, we need to standardize the sample mean using the standard error and then look up the probability from a standard normal distribution table. The z-score for a sample mean of 37.4 dollars is:
z = (37.4 - 40) / (8 / 7) = -1.225
Looking up this z-score in a standard normal distribution table, we find that the probability of getting a sample mean less than 37.4 dollars is 0.1103 (rounded to four decimal places). Therefore, the probability that the sample mean would be less than 37.4 dollars is 0.1103.
give thanks, your welcome <3
Step-by-step explanation:
Which expression is equivalent to "9 more than the quotient of x and 5
Answers
The required expression is (x / 5) + 9
Given that we have to build an equation for the statement "9 more than the quotient of x and 5,
So,
This expression represents the quotient of x divided by 5, and then adding 9 to the result.
Therefore,
"9 more than the quotient of x and 5" can be written mathematically as:
(x / 5) + 9
Hence the required expression is (x / 5) + 9
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Seven years ago, Grogg's dad was 6 times as old as Grogg, and 3 years ago, his dad was 4 times as old as Grogg. How old is Grogg's dad currently?
Answers
Answer:
Grogg's dad is 22
Step-by-step explanation:
Let D = dad's current age
Let g = Grogg's current age
6(d - 7) = g - 7 → 6d - 42 = g - 7 → 6d -35 = g
4(d - 3) = g - 3 → 4d -12 = g - 3 → 4d -9 = g
Set the two equations equal to each other and solve for d
6d - 35 = 4d - 9 Subtract 4d from both sides
2d -35 = -9 Add 35 to both sides
2d = 44 Divide both sides by 2
d = 22
Helping in the name of Jesus.
Answer:
Step-by-step explanation:
d = current dad age
g = current grogg age
d-7 = 6(g-7)
d-3 = 4(g-3)
Let's solve the first equation first:
Add 7 to both sides: d - 7 +7 = 6g - 42 + 7 so d = 6g - 35
Substitude d = 6g - 35 for d in d - 3 = 4g - 12
(6g-35)-3 = 4g-12 = 6g-38 = 4g-12
Subtract 4g from both sides: 2g - 38 = -12
Add 38 to both sides: 2g = 26
Easy: g = 13
And now substitude g in for any equations.
d-3 = 52-12
d = 43
(section 7.3, problem 20) use the open space to show all of your work. this includes: sketching the curves, finding and labeling the points of intersection, setting up the appropriate definite integral(s) and evaluating them. place your numerical answer for the area of the region in the box. leave your answer in exact form
Answers
The solution of the expression is x=0 and it is the only solution that is an integer.
An expression in mathematics is a combination of numbers, variables, and mathematical operations that evaluates to a numerical value or an algebraic expression.
To do this, we need to pick a range of x values and substitute them into each equation to find the corresponding y values.
Next, we need to find the points of intersection between the two curves. These are the x values where the two curves cross each other and have the same y value. To find these points, we will set the two equations equal to each other and solve for x:
=> x=5x−x³
Expanding this equation, we get
=> 4x³+x=0.
Factoring this equation, we get
=> x(4x²+1)=0.
This gives us two solutions, x=0 and x=±i√(1/4), where i is the imaginary unit. Since x can only take on real values, x=0 is the only solution that is an integer.
Complete Question:
Use the open space to show all of your work. This includes: sketching the curves, finding and labeling the points of intersection, setting up the appropriate definite integral(s), and evaluating them. Place your numerical answer for the area of the region in the box. Leave your answer in exact form.
y = x,
y = 5x−x³
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Question 3 < > In a particular class of 33 students, 18 are men. What fraction of the students in the class are women?
Answers
Answer:
Your answer is 15 Women
Step-by-step explanation:
33-18= 15
Which equation is equivalent to this equation and written with the same base?
4x+1=16x−1
Answers
Answer:
\( 2^{2x + 2} = 2^{4x - 4} \)
Step-by-step explanation:
\( 4^{x + 1} = 16^{x - 1} \)
\( 2^{2(x + 1)} = 2^{4(x - 1)} \)
\( 2^{2x + 2} = 2^{4x - 4} \)
The ratio of blondes to brunettes in Ms. Sarni's class is 2:3. If there are a total of 25 students, how many of the have blonde hair? *
Answers
Answer:
the number of blonde hair is 10
Step-by-step explanation:
The computation of the number of blonde hair is shown below;
Given that
Ratio of blonde to brunetees is 2:3
And, there is total of 25 students
So, the number of blonde hair is
= 25 × 2 ÷ (2 + 3)
= 25 × 2 ÷ 5
= 10
Hence, the number of blonde hair is 10
Gabriel's boss tells him he must
pack 12 boxes every quarter-hour.
How many boxes must Gabriel
pack in one hour?
Answers
Answer:
48
Step-by-step explanation:
simple,
a quarter is split into 4
so u do 12x4
i need help asap pleaseeeee
Answers
Option 1 and 2 are right .
Define equations .
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.
The solution of the above mentioned question is explained in detail below :
(1) An equations (3x+9)=6 and x+3=2
LHS: RHS:
3x+9=6 x+3=2
3x=6-9 x=2-3
3x=-3 x=-1
x=-1
Now , the two equations are equivalent .
(2)The expressions 3x+9 and x+3 are not equivalent .
Since for a equation to be equivalent an equality condition should be there but since its not so we can't say that the equation is equivalent .
In order to solve the two given expressions ,it must be equal to zero such that 3x+9=0 ⇒\(x=-3\)
and x+3=0 ⇒\(x=-3\)
(3) The two equations are as follows \(\frac{x}{x-2}\) and x=4(x-2)
Now ,on doing cross multiplication of the given equation x=4(x-2) and solving x=4(x-2) ,we get the both the equations as similar .
of the first equation we get
LHS RHS
x=4(x-2) x=4(x-2)
x= 4x-8 x=4x-8
x-4x=-8 x-4x=-8
-3x=-8 -3x=-8
x = \(\frac{8}{3}\) x=\(\frac{8}{3}\)
Thus , the two equations are equivalent .
(4) The given expressions are \(\frac{x}{x-2}\) and x
As the given expressions are unequal ,so on equating both to zero we get
x=0(x-2) ⇒ x=0 and x=0
So the given equations are not equivalent but by equating to zero its equal .
Hence the expressions are not equivalent .
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If you answer correctly you get one of those crown things
Answers
Answer:
CDBE
Step-by-step explanation:
If you add angle CD and BE together it would be CDBE
When the scale factor is one what is the ratio of the side length of the side opposite angle a and the length of the hypotenuse
Answers
Answer:
me ajuda por favor matemática
Prove (a) B(x+1,y)= x+y
x
B(x,y). (b) Γ(2x)= π
2 2x−1
Γ(x)Γ(x+ 2
1
).
Answers
The simplified equation is (π2 / 2) * ∫[0, ∞] (x(2x-1) * e(-x) / (Γ(x) * Γ(1 - x)) DX
a. To prove B(x+1, y) = x * B(x, y), proceed as follows.
Start with B(x+1, y) = [(x+1)! * y!] / ((x+y+2)!) (using the definition of B(x, y)).
Rewrite 1 / (x+1) to (x+y+2 - (y+1)) / (x+y+2) .
Using the formula above, express B(x+1, y) as (x+y+2) / (x+y+2) * [(x+1)! to rewrite. * y!] / ((x+y+2)!) - (y+1) / (x+y+2) * [(x+1)! * y!] / ((x+y+2) !).
Simplify the formula to (x+y+2) / (x+y+2) * B(x, y) - (y+1) / (x+y+2) * B(x, y) increase.
Simplify further to B(x, y) - (y+1) / (x+y+2) * B(x, y).
Note that B(x, y) can be expressed as (x / (x+y+1)) * B(x, y) .
Substitute this formula in the previous step to get,
x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y).
x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y)
= x * B(x, y)
You have now proved B(x+1, y) = x * B(x, y).
b. We wish to prove the identity Γ(2x) = ((2sin(πx))) * Γ(x) * Γ(x + 1/2).
Integrate ∫[0, ∞] (x(2x-1) * Start with dx.
Evaluating this integral using the permutation u = du is obtained.
Simplify the integral to (1/2) * Γ(x + 1/2).
Express sin(πx) as π / (Γ(x) * Γ(1 - x)).
Let the original integral be π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) * e(-x) * (1/sin( πx) Rewrite.)) DX.
Substituting the equations,
The integral, π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) *
We get * (π / (Γ(x) * Γ(1 - x)))) dx.
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A cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of scoops of powdered drink mix and the amount of water needed to make it. For every 2 scoops of mix, one half gallon of water is needed, and for every 5 scoops of mix, one and one fourth gallons of water are needed.
Part A: Find the constant of proportionality. Show every step of your work.
Part B: Write an equation that represents the relationship. Show every step of your work.
Part C: Describe how you would graph the relationship. Use complete sentences.
Part D: How many gallons of water are needed for 12 scoops of drink mix?
Answers
Answer:
A. 1/4 gal/scoop
B. w = 1/4s
C. line through the origin with slope 1/4; s-, w- axes labeled "scoops" and "gallons"
D. 3 gallons
Step-by-step explanation:
Given 2 scoops of powdered drink mix needs 1/2 gallon of water, you want (A) the constant of proportionality, (B) the equation for the relationship, (C) a description of the graph, (D) gallons for 12 scoops.
Proportional relationshipA proportional relationship between gallons of water (w) and scoops of drink mix (s) can be written as ...
w = ks
where k is the constant of proportionality.
A Proportionality constantSolving the equation for k, we get ...
k = w/s
Using the given values, we find k to be ...
k = (1/2 gal)/(2 scoops) = 1/4 gal/scoop
The constant of proportionality is 1/4 gallon per scoop.
B EquationWe show the equation in part A. Filling in the value of k gives ...
w = 1/4s . . . . . . . where s is number of scoops, and w is gallons of water
C GraphThe attached shows a graph. A line starts at the origin with slope 1/4; s-, w- axes are labeled "scoops" and "gallons". The practical domain is s ≥ 0, so no part of the graph is in the 3rd quadrant.
D 12 scoopsThe equation tells you that 12 scoops will require ...
w = 1/4·12 = 3 . . . . gallons
3 gallons of water are needed for 12 scoops of drink mix.
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Larry leaves home at 9:06 and runs at constant speed to the lamppost 200 m away. He reaches the lamppost at 9:09, immediately turns, and runs to the tree (another 1,000 m away). Larry arrives at the tree at 9:13.
What is Larry's average velocity, in m/min, during each of these two intervals. Find v1 and v2.
Answers
Larry ran at an average velocity of 66.7 m/min to the lamppost 200 m away and an average velocity of 250 m/min to the tree 1000 m away.
v1 = 200 m / 3 min = 66.7 m/min
v2 = 1000 m / 4 min = 250 m/min
Larry left his home at 9:06 and ran at a constant speed to the lamppost 200 m away. He arrived at the lamppost at 9:09. Immediately after arriving, he turned around and ran to a tree 1000 m away, arriving at 9:13. To find his average velocity during each interval, we can divide the distance traveled by the time it took to travel the distance. For the first interval, Larry traveled 200 m in 3 minutes, so his average velocity was 200 m divided by 3 min, or 66.7 m/min. For the second interval, Larry traveled 1000 m in 4 minutes, so his average velocity was 1000 m divided by 4 min, or 250 m/min.
Larry ran at an average velocity of 66.7 m/min to the lamppost 200 m away and an average velocity of 250 m/min to the tree 1000 m away.
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4x+5(7x-3)=9(x-5)
x=???
Answers
Answer:
i think its 3 im not sure
Step-by-step explanation:
Answer:
x = -1
Step-by-step explanation:
Given equation,
→ 4x + 5(7x - 3) = 9(x - 5)
Now the value of x will be,
→ 4x + 5(7x - 3) = 9(x - 5)
→ 4x + 35x - 15 = 9x - 45
→ 39x - 15 = 9x - 45
→ 39x - 9x = -45 + 15
→ 30x = -30
→ x = -30/30
→ [ x = -1 ]
Hence, the value of x is -1.
. How many red tiles are in the box? There are red and blue files in a box . The ratio of red to blue tiles is 3 : 5 . There are 12 more blue tiles than red tiles in the box . How many red tiles are in the box ?
Answers
The first piece of information we are given is that the ratio of red to blue tiles is 3:5. This can be written as:
R/B = 3/5
The second piece of information we are given is that there are 12 more blue tiles than red tiles in the box. This can be written as:
B = R + 12
We can solve this system of equations by substituting the second equation into the first equation and solving for R.
Substituting B = R + 12 into the first equation, we get:
R/R + 12 = 3/5
We can then simplify this equation to get:
R = 15
Thus, there are 15 red tiles in the box.
If x = -2 is a zero of the polynomial function f(x) = 2x³ + 9x² - 8x - 36,
which of the following is another zero of f(x)?
Ox=8
O x = 4
Ox=3
Ox=2
They
Answers
The temperature in Fairbanks, Alaska, fell 10 degrees in 2 hours. Explain why the average temperature change was –5ºF per hour.
Answers
Answer:
5ºF per hour decrease
Step-by-step explanation:
Given that the temperature in Fairbanks, Alaska, fell 10 degrees in 2 hours
For finding average we normally divide the total by number of units
Here change in temperature for 2 days is given as -10 degrees (negative sign is used to denote decrease)
For 2 days change in temperature = -10 degrees F
Hence average change in temperature = change for one day
= -10/2 = -5 degrees F
So answer is 5ºF per hour decrease
Answer:
Since 10/2 equals 5 the only reasonable answer to ¨Temperature per hour¨ is -5. Also because the temperature dropped 10 degrees in 2 hours which concludes 5 degrees dropped per hour.
Step-by-step explanation:
Got it right on E2020
Fill in the table of value for the equation y = 2x + 1
Answers
Answer:
To fill in the table of values for the equation y = 2x + 1, we can choose different values of x and substitute them into the equation to find the corresponding values of y. For example:
x y
0 1
1 3
2 5
3 7
4 9
To get the value of y, we substitute each value of x into the equation and simplify:
When x = 0:
y = 2(0) + 1 = 1
When x = 1:
y = 2(1) + 1 = 3
When x = 2:
y = 2(2) + 1 = 5
When x = 3:
y = 2(3) + 1 = 7
When x = 4:
y = 2(4) + 1 = 9
Therefore, the table of values for the equation y = 2x + 1 is:
x y
0 1
1 3
2 5
3 7
4 9
HELPPP MEEE PLEASEE WITH THIS QUESTION
Answers
The values of x and y are given as follows:
x = 18.\(y = 6\sqrt{10}\)What is the geometric mean theorem?The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.
The bases for this problem are given as follows:
2 and x.
The altitude is given as follows:
6.
Hence the length x is given as follows:
2x = 6²
2x = 36
x = 18.
Applying the Pythagorean Theorem, the length y is given as follows:
y² = 18² + 6²
y² = 360
\(y = \sqrt{36 \times 10}\)
\(y = 6\sqrt{10}\)
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Find the length AB round your answer to the tenth
Answers
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\(AB = \sqrt{ ({9 - 2})^{2} + ({5 - 3})^{2} } \)
\(AB = \sqrt{ {7}^{2} + {2}^{2} } \)
\(AB = \sqrt{49 + 4} \)
\(AB = \sqrt{53} \)
\(AB = 7.28\)
\(AB = 7.3\)
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. x^4 – 2x^3 – 7x^2 + 8x + 12 = 0
Answers
The Required Factors (x + 1) (x - 3 ) (x + 2) (x - 2).
Given equation.
x^4 - 2x^3 - 7x^2+8x+12 = 0
Factors : factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product.
polynomial : an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable
Now, factorize the polynomial of degree 4 as follows.
= (x + 1) (x - 3) (x^2 - 4)
Then, again factorize polynomial of degree 2.
Therefore (x + 1) (x - 3 ) (x + 2) (x - 2)
This is the required factors.
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Connor had 1 quart of ice cream. He ate 1/6 of quart of ice cream on Friday night and 3/6 of a quart of ice cream on Saturday night. How much of ice cream does Connor have left?
Answers
Answer:
Connor has 1/3 ice cream left to finish.Solution:
1 quart = 6/6 quart of ice cream=> 6/6 - 1/6 = Remaining ice cream left on Friday night = 5/6 quarts=> 5/6 - 3/6 = Remaining ice cream left on Saturday night = 2/6 quarts2/6 = 1/3 (Simplification)Hence, Connor has 1/3 ice cream left to finish.
\(BrainiacUser1357\)
Answer:
2/6 quart or 1/3 quart
Step-by-step explanation:
Each of these fractions already have a common denominator, so we can add the numerators to get the amount of ice cream eaten in total. 1/6+3/6=4/6. Now, we have the option to simplify or not, most teachers want you to simplify. 4/6 simplifies to 2/3 (every 2/6 is 1/3). That is how much has been eaten. To find out how much is left, take the original value and subtract the amount eaten. 1 quart (or 6/6 or 3/3) - 2/3 (or 4/6) = 2/6 or 1/3.
Vince weighs 160 pounds, and his friend Nadir weighs 140 pounds. Nadir calculated that his weight on another planet would be about 56 lb. Approximately what would Vince weigh on the other planet?
A.40 lb
B.64 lb
C.76 lb
D.90 lb
Answers
Answer:76
Step-by-step explanation:
Vince=160
Nadir=140, which =56 on another planet. 140-56=84, so there's an 84lbs weight difference.
160-84=76 pick c
Is there any variable or constant that you could add to or subtract from both sides of 2=2
Answers
Yes, you could add to or subtract from both sides of 2=2.
What is a variable?
A characteristic that can be measured and given different values is known as a variable. Variables include things like height, age, income, province of birth, school grades, and type of housing. There are two main types of variables: categorical and numeric.
Equivalent equations are those that have the same sets of solutions. According to the equations' multiplication/division rule, all terms on both sides of an equation can be multiplied or divided by the same term, with the exception of zero, without changing the equation's solution set.
The equation is 2 = 2
Add x with both sides:
2 + x = 2 + x
The equation remains the same.
Add 3 with both sides:
2 + 3 = 2 + 3
5 = 5
The equation remains the same.
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In this picture b, d, and f are midpoints. Ac=50 ce=60 and bd=35. What is fe
Answers
The length of FE is equal to 35 units.
What is the triangle midpoint theorem?In Mathematics and Geometry, the triangle midpoint theorem states that the line segment which connects the midpoints of two (2) sides of a triangle must be parallel to the third side, and it's congruent to one-half of the third side.
By applying the triangle midpoint theorem to the triangle, we have the following:
AE = 1/2(FE)
BD ≅ FE (midpoints of AC and CE)
BD = FE = 35 units.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
The given picture with Midpoints B, D, and F, AC is 50 units, CE is 60 units, and BD is 35 units. The length of segment FE is determined to be 35 units.
In the given picture, let's label the points as A, B, C, D, E, and F. It is mentioned that points B, D, and F are midpoints.
Given information:
AC = 50
CE = 60
BD = 35
Since B, D, and F are midpoints, we know that BD is equal to half of AC and half of CE. Therefore, BD = AC/2 and BD = CE/2.
We are given that BD = 35, so we can set up the equations:
35 = AC/2 ...(Equation 1)
35 = CE/2 ...(Equation 2)
Let's solve Equation 1 for AC:
AC = 35 * 2
AC = 70
Similarly, solving Equation 2 for CE:
CE = 35 * 2
CE = 70
Now, let's consider triangle AFE. Since B and D are midpoints, we know that BD is parallel to FE, and FD is parallel to AE. Therefore, triangle AFE is similar to triangle ADC.
In similar triangles, corresponding sides are proportional. Hence, we can write the following ratios:
FE/AC = FD/AD
Substituting the known values, we get:
FE/70 = 35/AC
Cross-multiplying, we have:
FE * AC = 70 * 35
Since we know AC is 70, we can solve for FE:
FE = (70 * 35) / 70
FE = 35
Therefore, the length of FE is 35 units.
the given information, in the given picture with midpoints B, D, and F, AC is 50 units, CE is 60 units, and BD is 35 units. The length of segment FE is determined to be 35 units.
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