Answers
a.
An "angle is" formed by "2 rays"
A conditional statement must have a hypothesis and a conclusion.
Hypothesis = if it is formed by 2 rays
Conclusion = is an angle
Conditional statement:
If it is formed by 2 rays, is an angle.
Related Questions
Abeer bought a desk on sale for $363. This price was 34% less than the original price.
Answers
Answer:
239.58
Step-by-step explanation:
363*0.34=123.42
363-123.42=239.58
Answer:
$550Step-by-step explanation:
Let the original price is x.
We have:
x - 34% = 363x*(1 - 0.34) = 3630.66x = 363x = 363/0.66x = 550Original price was $550
Can someone please help me? I’ll give brainly :) question is in photo
Answers
Answer:
Step-by-step explanation:
So basically you would cut the block in half however you'd like but this is how I did it- first you would multiply one side the side I chose has the numbers 7*15*10 so you multiply those getting 1050 then set that aside and do the other side with the numbers of 6*5*10 which if you multiply you would get 300 then you add the first number 1050+300 = 1350 •tbh this might not be correct I tried•
4) James Madison was born on March
16, 1751. John F. Kennedy was born on
May 29, 1917. If they were both still
alive today, how much older would
James Madison be than John F.
Kennedy?
Answers
Answer:
166 years older.
Step-by-step explanation: Subtract 1751 from 1917
The volume of a shampoo illed into a container is uniformly distributed between 374 and 380 milliliters. (a) What are the mean and standard deviation of the volume of shampoo? (b) What is the probability that the container is illed with less than the advertised target of 375 milliliters? (c) What is the volume of shampoo that is exceeded by 95% of the containers? (d) Every milliliter of shampoo costs the producer $0.002. Any shampoo more than 375 milliliters in the container is an extra cost to the producer. What is the mean extra cost?
Answers
Answer:
a) Mean = 377 mm
S.D = 1.73 mm
b) 16.7%
c) 374.3 mm
d) $0.0043 per container.
Step-by-step explanation:
a) The mean of a uniform distribution for a minimum value of 374 and a maximum value of 380 is:
\(E(X)=\dfrac{Min+Max}{2}=\dfrac{374+380}{2}=377\)
The standard deviation can be calculated as:
\(\sigma=\dfrac{Max-Min}{\sqrt{12}}=\dfrac{380-374}{3.464}=1.73\)
b) As 375 is within our maximum and minimum value for the distribution, we can calculate this probability as:
\(P(X<375)=\dfrac{375-Min}{Max-Min}=\dfrac{375-374}{380-374}=\dfrac{1}{6}\approx 0.167\)
c) We have to calculate Y so that P(X>Y)=0.95. The probability for Y can be written as:
\(P(X>Y)=\dfrac{Max-Y}{Max-Min}=\dfrac{380-Y}{6}=0.95\\\\\\380-Y=0.95*6=5.7\\\\Y=380-5.7=374.3\)
d) As we calculated in point (b), 16.7% of the containers have less than 375 milimiters.
Then, (100-16.7)%=83.3% of the containers have more than 375 milimieters.
The mean volume for the containers that have more than 375 mm can be easily calculated because all the values have constant and equal probability within the minimum (in this case, 375 mm) and maximum value (380 mm).
\(E(Z_{375})=\dfrac{375+380}{2}=377.5\)
This mean is 2.5 mm over 375 mm, so we have an extra cost of $0.002*2.5=$0.005 per container.
If 83.3% of the containers have an average of 2.5 mm of extra volumen, we can calculate the mean extra cost per container as:
\(C=\%P\cdot \DeltaV=0.833\cdot0.005=0.004165\approx0.0042\)
show that the medians of the triangle with (non-colinear) vertices (a1, a2, a3) intersect at a1 a2 a3 3
Answers
The medians of a triangle connect the midpoints of each side and intersect at the centroid of the triangle.
Medians of a triangle are lines that connect the midpoints of each side of the triangle to the opposite vertex. This means that they divide the triangle into two halves, each with an area that is equal to half of the area of the entire triangle. The medians of a triangle with vertices (a1, a2, a3) intersect at a point known as the centroid of the triangle, which is located at the intersection of the three medians. The centroid can be found by taking the average of the three vertices, or by finding the intersection of the three medians. The centroid is the point at which the three medians of the triangle intersect and is the center of gravity for the triangle. In other words, it is the point that all three medians will intersect at.
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Which expression is equivalent to 5(4x + 12) + 3x + 2?
A. 85x
B. 23x + 62
C. 23x + 14
D. 20x + 60
Answers
\(\boxed{\sf B.\,23x + 62}.\)
Step-by-step explanation:Let's simplify this expression1. Write the expression.\(\sf 5(4x + 12) + 3x + 2\)
2. Aplly the distributive property of multiplication to solve the parenthesis (check the attached image).\(\sf (5)(4x)+(5)(12) + 3x + 2\\ \\20x+60 + 3x + 2\)
3. Add up the like terms.\(\sf 20x+ 3x + 2+60 \\ \\\boxed{\sf 23x + 62} \Longrightarrow Final\,answer.\)
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Solving equations is a process that involves a lot mathematical simplification. That's why I suggest you take a look at these answers to learn more about simplifying:
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Use the given conditions to write an equation for the line in the indicated form.
Passing through (2, 2) and perpendicular to the line whose equation is y = 4x + 7;
point-slope form
A)y=-4x-10
B)y-2=-1/4(x-2)
C)y-2=1/4(x+2)
D)y-2=1/4(x-2)
Answers
Answer:
B) y - 2 = (-1/4)(x - 2)
Step-by-step explanation:
Start with the equation of the given line: y = 4x + 7.
Determine the slope of the given line, which is 4.
Since the perpendicular line has a negative reciprocal slope, the perpendicular line's slope is -1/4.
Use the point-slope form of a linear equation: y - y₁ = m(x - x₁), where (x₁, y₁) is the given point and m is the slope.
Substitute the values x₁ = 2 and y₁ = 2 into the point-slope equation: y - 2 = (-1/4)(x - 2).
Simplify by distributing -1/4 to (x - 2): y - 2 = (-1/4)x + 1/2.
Add 2 to both sides to isolate y: y = (-1/4)x + 1/2 + 2.
Simplify further: y = (-1/4)x + 5/2.
The equation in point-slope form for the line passing through (2, 2) and perpendicular to y = 4x + 7 is y - 2 = (-1/4)(x - 2), which matches option B.
A recent survey showed that exactly 38%
of people in a town buy the local
newspaper. There are 2450 people in the
town.
a) How many people in the town buy the
local newspaper?
b) How many people in the town do not
buy the local newspaper?
Answers
Answer:
a) .38 × 2,450 = 931 people buy the local newspaper.
b) 2,450 - 931 = 1,519 people do not buy the local newspaper.
Mr. Yi buys vegetables at a market. He purchases 6 pounds of potatoes, p, and 3 pounds of onions, n, for $18. Onions cost twice as much as potatoes. To determine the unit price for each item, his daughter sets up and solves the system of equations shown. 6p + 3n = 18 and 2n = p 6(2n) + 3n = 18 12n + 3n = 18 15n = 18; n = $1.20 Onions cost $1.20 per pound. Analyze the daughter’s solution. Which statements are true? Check all that apply.
A.The equation 2n = p should be 2p = n. B.The equation 6p + 3n = 18 should be 6n + 3p = 18. C.The actual cost of the onions is $3.00 per pound. D.Potatoes cost $0.60 per pound. E.Potatoes cost $1.50 per pound. F.Potatoes cost $2.40 per pound.
Answers
Answer:
Step-by-step explanation:
1,3,5
Draw the net and calculate the surface area .
Answers
Hello!
surface area
= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)
= 160cm²
solve this question
i need it
Answers
To find the limit of a convergent sequence, we can simply take the limit as n approaches infinity. Let's calculate the limits for each of the given sequences:
A. \(\sf\:\lim_{n \to \infty} \frac{5n}{n+7} \\\)
To find the limit, we divide the leading terms by n:
\(\sf\:\lim_{n \to \infty} \frac{5n/n}{(n+7)/n} = \frac{5}{1} = 5 \\\)
Therefore, the limit of the sequence A is 5.
B. \(\sf\:\lim_{n \to \infty} \frac{4-7n}{8+n} \\\)
Again, divide the leading terms by n:
\(\sf\:\lim_{n \to \infty} \frac{4/n - 7}{8/n + 1} = \frac{0 - 7}{0 + 1} = -7 \\\)
So, the limit of sequence B is -7.
C. \(\sf:\lim_{n \to \infty} \frac{8n - 500\sqrt{n}}{2n + 800\sqrt{n}} \\\)
Divide the leading terms by n:
\(\sf\:\lim_{n \to \infty} \frac{8 - 500\sqrt{n}/n}{2 + 800\sqrt{n}/n} \\\)
As n approaches infinity, the terms involving \(\sf\:\sqrt{n}/n \\\) tend to 0:
\(\sf\:\lim_{n \to \infty} \frac{8 - 500(0)}{2 + 800(0)} = \frac{8}{2} = 4 \\\)
Therefore, the limit of sequence C is 4.
To summarize:
A. The limit of sequence A is 5.
B. The limit of sequence B is -7.
C. The limit of sequence C is 4.
Margie makes a necklace using 14 purple beads for every 6 silver beads. The necklace contains 80 beads. How many of each color bead are in the necklace?
Answers
The quantity of each colour beads that are in the necklace include the following:
Purple beads = 56
Purple beads = 56silver beads = 24
Purple beads = 56silver beads = 24What is a ratio?A ratio is defined as the mathematical expression that shows the number of times one value is contained in another value.
The number of purple beads = 14
The number of silver beads ,= 6
The total quantity of beads = 80
Therefore the total combination = 14+6 = 20
For purple beads = 14/20 × 80/1
= 1120/20 = 56
For silver beads = 6/20×80/1
= 480/20= 24
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WHAT WILL YOU WEAR?
You are getting ready for Thanksgiving dinner and trying to find the perfect outfit. You want to wear your new sweater from Infinity21. The manufacturer advertises that this sweater is most comfortable to wear when the temperature satisfies |t-56| ≤6 degree: Fahrenheit. The weaather report says it will be 53°F on Thanksgiving Day at mealtime.
Can you wear your new sweater comfortably?
Answers
By solving a linear inequation, it can be concluded that
The sweater can be worn comfortably
What is a linear inequation?
Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by > . < , ≤, ≥
A one degree inequation is known as linear inequation.
Here, the given linear inequation is
\(|t - 56| \leq 6\\t - 56 \geq -6 \ or \ t - 56 \leq 6\\t \geq 56 - 6 \ or \ t \leq 56+6\\t \geq 50 \ or \ t \leq 62\\50 \leq t \leq 62\)
As 53° F lies between 50 and 62, the sweater can be worn comfortably
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Line k is represented by the equation y = 2x + 2. Write
an equation of a line that is perpendicular to line k that also passes through the point (-2, 9)?
Answers
Step-by-step explanation:
so, we calculate the perpendicular slope, and then we start with the point-slope form (since we were given a specific point of the line), and transform into the regular slope-intercept form.
the slope in
y = 2x + 2
is the factor of x : 2 or 2/1
the perpendicular slope is turning this upside down and flips the sign : -1/2
the point- slope form is
y - y1 = a(x - x1)
"a" being the slope, (x1, y1) being the point.
y - 9 = -1/2(x - -2)
y - 9 = (-1/2)x - 1
y = (-1/2)x + 8
How long (in years) would $700 have to be invested at 11.9% compounded continuously to earn $300 interest?
Answers
Answer:
A = Pert is formula for continuously compounded interest
A = final amount = 2000
P = principal = 1000
e = euler's number (on calculator)
r = interest rate as decimal = .075
t = time in years
Your mistake is that 7.5% as a decimal is 7.5/100 = .075
not 7.5
2000 = 1000e.075t
e.075t = 2000/1000
e.075t = 2
take natural log of both sides
ln e.075t = ln 2
.075t = ln 2
t = ln2/.075
t = 9.24 years
please very soon I offer the crown !!! + 10 points urgently !!!
Answers
b- 11
c- 7
d- 4
e- 10
f- 1
Please help me!!
20points!!
Answers
9514 1404 393
Answer:
A) 1
Step-by-step explanation:
Let the distance from A to BC be represented by y, and the distance DE be represented by x. We can write some relations using the definition of the tangent of an angle, and the double-angle formula for tangent. The double-angles are complementary
Left angles
Call the smaller angle α. Then the larger angle is 2α.
tan(α) = x/2
tan(2α) = 2tan(α)/(1 -tan(α)²) = 2(x/2)/(1 -(x/2)²) = 4x/(4 -x²)
Right angles
tan(β) = x/3
tan(2β) = 2tan(β)/(1 -tan(β)²) = 2(x/3)/(1 -(x/3)²) = 6x/(9 -x²)
__
Angles 2α and 2β are complementary, so the product of their tangents is 1.
(4x/(4 -x²))(6x/(9 -x²)) = 1
24x² = (4 -x²)(9 -x²) . . . . multiply by the product of denominators
x⁴ -37x² +36 = 0 . . . . . put in standard form
(x² -36)(x² -1) = 0 . . . . . factor
Solutions to this equation are x = ±1 and x = ±6. Only positive values less than 1.25 can possibly satisfy the geometry. Hence x = DE = 1.
The length of DE is 1.
Using complete sentences, explain which function has the greatest y-intercept.
Answers
Answer:
Step-by-step explanation:
this is correct trust me im learning this and passing the concept h(x)=2+3
and f(x)=3x-2
Here is a tip use desmos it is a graphing calculater and will tell you the answer
16) Solve for side AB.
AB-
Round your answer to the nearest hundredth.
A) 5.45
B) 6.45
C) 7.45
Answers
Answer:
AB= 7.45
Anwer C)
Step-by-step explanation:
Cos (angle) = Nearest side / Huypothenuse
Cos(20) = 7 / AB
Cos(20) * AB = (7 /AB) * AB
Cos (20) * AB = 7
(Cos(20) *AB) / Cos(20) = 7 / Cos(20)
AB = 7 / cos(20)
AB= 7.45
In order to find the hypotenuse, we can use the trigonometric function “cosine”,
since.
Cosine =
Adjacent side (which is 7) / hypotenuse
Cos(50) = 7 / AB
AB = 7 / Cos(50)
AB = 10.89006678802289
AB ≈ 10.89
Have a good day ^^
The center of a circle is located at (2, -1). A point on the circle is located at (-3,-1). What is the approximate circumference of the circle?
A16 units
B31 units
C79 units
D100 units
Answers
Answer:
您同性恋
Step-by-step explanation:
The temperature decreases 3 each hour for four hours. By how many degrees did the temperature fall in four hours?
Answers
Answer: 12 degrees
Step-by-step explanation: So the temperature decreases every hour by 3 degrees for 4 hours. So the first hour, the temperature will have decreased by 3. Then by the second hour, the overall temperature will have decreased by 6. The third hour, the overall temperature will be 8 degrees less, and finally on the fourth hour, it will have decreased by 12.
There are 11.5 ounces of cereal in a container. Additional cereal is poured into the container at a rate of 2.25 ounces per second. How many ounces
are in the container after 4 seconds?
Answers
20.5 Ounces
Have a Merry Christmas!
Answer:
2.25 times 4 = 9 + 11.5 = 20.5 ounces of cereal is in the container
Step-by-step explanation:
Put y = -2/3x+5 in standard form
Answers
The standard form of the given linear equation y = (-2/3)x + 5 is 2x + 3y = 15.
What is the standard form of the linear equation?The standard form of a linear expression is expressed as;
Ax + By = C
Where A and B are the coefficient of x and y respectively and C is the constant term.
Given the equation in the question;
y = (-2/3)x + 5
Multiply both sides by 3
y = (-2/3)x + 5
3(y) = 3((-2/3)x + 5 )
Apply distributive property
3(y) = 3((-2/3)x + 5 )
3y = 3(-2/3)x + 3( 5 )
3y = -6/3x + 15
3y = -2x + 15
Now, move all terms containing variables to the left side of the equation
3y = -2x + 15
Add 2x to both sides
3y + 2x = -2x + 2x + 15
3y + 2x = 15
Reorder 3y and x
2x + 3y = 15
Therefore, the standard form of the given linear equation y = (-2/3)x + 5 is 2x + 3y = 15.
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For the functions f(x) = -5(3/4)x what is the y-intercept
please help
Answers
Answer:
(0,0)
Step-by-step explanation:
the y and x intercept are 0
Which angles below are equal to ∠CDB?
Answers
Answer:
(x) ∠CAB
Step-by-step explanation:
In ΔCOD and ΔBOA
\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)
Also,
∠COD = ∠BOA (vertically opposite angles)
⇒ ΔCOD and ΔBOA are similar
⇒ ∠CDO = ∠BAO
⇒ ∠CDB = ∠BAC
⇒ ∠CDB = ∠CAB
Two cities whose longitudes are 10E and 20W on the equator are apart
Answers
Step-by-step explanation:
to be honest I'm not sure how to do
What equation is equivalent to 6x + 13 - (3x - 7)
Answers
Answer:
6x + 12 - (3x - 7)
6x + 12 - 3x + 7
3x + 19
Step-by-step explanation:
Simplifying
6x + 13 + -3x + -7 = 0
Reorder the terms:
13 + -7 + 6x + -3x = 0
Combine like terms: 13 + -7 = 6
6 + 6x + -3x = 0
Combine like terms: 6x + -3x = 3x
6 + 3x = 0
Solving
6 + 3x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + 3x = 0 + -6
Combine like terms: 6 + -6 = 0
0 + 3x = 0 + -6
3x = 0 + -6
Combine like terms: 0 + -6 = -6
3x = -6
Divide each side by '3'.
x = -2
Simplifying
x = -2
A Cub with 40members elects a finance committee having 3members. How many committees
are possible?
Answers
Answer:
9880
Step-by-step explanation:
\(C^3_{40}=\frac{40!}{3!(40-3)!} =\frac{40!}{3!*37!}=13*19*40=9880.\)
Write a function rule for
Answers
Answer:
x^2
Step-by-step explanation:
1^2=1
2^2=4
3^2=9
This table shows the number of students at a school in the years 2014-2016, 2014 1,030 students 2015 ? students 2016 1,300 students.In 2015, there were more students than in 2014 but fewer than in 2016. Which could be the number in 2015?
Answers
Answer:
it could be the number in 2015 is 2,330
Step-by-step explanation:
Just add the number of the students in 2014-2016.
1,030+ 1,300=2,330