a is a function
b is Not a function
c is a function
d is a function
T / 23 equals -9 solve for t
Answer:
-207
Step-by-step explanation:
t/23 = -9
Multiply both sides by 23 to cancel out the denominator.
23 * (t/23) = (-9) * 23
t = -207
What is 30% of 60? A. 0.18 B. 1.8 C. 18 D. 180
Answer:
C ) 18 hope this helps !!!
Answer:
C. 18
Step-by-step explanation:
If you multiply 30%, or .3 by 60, you get 18.
Question 4 of 10
Which of the following could be the ratio between the lengths of the two legs
of a 30-60-90 triangle?
Check all that apply.
□A. √2:√2
B. 15
□ C. √√√√5
□ D. 12
DE √3:3
OF. √2:√5
←PREVIOUS
SUBMIT
The ratios that could be the lengths of the two legs in a 30-60-90 triangle are √3:3 (option E) and 12√3 (option D).
In a 30-60-90 triangle, the angles are in the ratio of 1:2:3. The sides of this triangle are in a specific ratio that is consistent for all triangles with these angles. Let's analyze the given options to determine which ones could be the ratio between the lengths of the two legs.
A. √2:√2
The ratio √2:√2 simplifies to 1:1, which is not the correct ratio for a 30-60-90 triangle. Therefore, option A is not applicable.
B. 15
This is a specific value and not a ratio. Therefore, option B is not applicable.
C. √√√√5
The expression √√√√5 is not a well-defined mathematical operation. Therefore, option C is not applicable.
D. 12√3
This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which simplifies to √3:3. Therefore, option D is applicable.
E. √3:3
This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which is equivalent to √3:3. Therefore, option E is applicable.
F. √2:√5
This ratio does not match the ratio of the sides in a 30-60-90 triangle. Therefore, option F is not applicable. So, the correct option is D. 1 √2.
For more such questions on lengths
https://brainly.com/question/28322552
#SPJ8
Select all names that apply to the number.
3/4
A) Integer
B) Irrational
C) Whole
D) Rational
E) Real
Answer: D and E
Step-by-step explanation:
It is not an integer because it is represented by a fraction it is not an irrational number because it can be represented by the decimal 0.75. It is not a whole number because it is a fraction. It is rational because the decimal numbers do not go on forever and it is not an imaginary number so it is a real number.
Dennis is up to bat during his softball game. he swings his bat 261 degrees in 0.75 seconds before contacting the ball. he makes contact with the ball 57 cm down the bat (away from the axis of rotation). what is the linear velocity of the ball after contact with the bat? (please put the answers in meters)
Answer:
here is answer
Step-by-step explanation:
To find the linear velocity of the ball after contact with the bat, we need to convert the angular velocity to linear velocity.
Given:
Angular displacement (θ) = 261 degrees
Time (t) = 0.75 seconds
Distance from axis of rotation (r) = 57 cm
First, we convert the angular displacement from degrees to radians:
θ (in radians) = (261 degrees) × (π/180)
≈ 4.5539 radians
Next, we calculate the angular velocity (ω):
ω = θ / t
= 4.5539 radians / 0.75 seconds
≈ 6.0719 radians/second
To convert the distance from the axis of rotation to meters:
r (in meters) = 57 cm × (1 meter / 100 centimeters)
= 0.57 meters
Now, we can calculate the linear velocity (v) using the formula:
v = ω × r
v ≈ 6.0719 radians/second × 0.57 meters
v ≈ 3.4649 meters/second
Therefore, the linear velocity of the ball after contact with the bat is approximately 3.4649 meters/second.
A tea shop owner mixes 40 cups of water and 70 cups of milk. she calculated and found that she adds 55% of water in tea. is she correct explain with a reason
Answer:
No
Step-by-step explanation:
Total cups of the mixture = 40 c water + 70 c milk = 110 c
40/110 x 100 = 36.4% water
She is not correct.
please help 5 stars if ya answer
Answer:
d. 2.0
Step-by-step explanation:
i hope this helps :)
Answer:
D
Step-by-step explanation:
√2π / √5 (expand the expression)
√2π / √5 x √5 / √5 (multiply the fractions)
√2π√5 / √5/√5 (calculate and multiply)
solution is √10π/5 so 1.98 round it to the nearest 10 and it'll be 2 so the answer is D
what is the tenth digit of the decimal expansion of 1234/9999 after the decimal point?a.4b.3c.2d.1
We have to find the tenth digit of the decimal expansion of 1234/9999 after the decimal point.
We estimate that this will be a periodic number. We then can find its decimal expression as:
\(x=0.12341234123412341234\ldots\)NOTE: when the denominator is a number with all digits equal to 9, the resulting decimal is a periodic decimal with the numerator repeating with a number of digits equal to the number of digits of the denominator.
In this case, we have 9999, so we have 4 digits. Then, the decimal will repeat "1234", a four digit number. If the numerator has more digits, then we would have a mixed number and the whole part should be treated separately.
Then, now we can count. We have 8 decimal digits for the first two repetitions and then 1 for the 9th place and 2 for the 10th place.
Then, the tenth digit of the decimal expansion is 2.
Answer: 2 [Option C]
The initial substitution of x= a yields the form 0
0
. Simplify the function algebraically, or use a table or graph to determine the limit. If necessary, state that the limit does not exist. lim x→2
x 2
−4
4x 2
+3x−22
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. lim x→2
x 2
−4
4x 2
+3x−22
= (Type an integer or a simplified fraction.) B. The limit does not exist.
The given limit is:lim x→2 . The initial substitution of x = 2 yields the form 0/0. So, we need to factorize the numerator and denominator to simplify the limit.
lim x→2
x 2
−4
4x 2
+3x−22
The initial substitution of x = 2 yields the form 0/0. So, we need to factorize the numerator and denominator to simplify the limit.
By using the formula for a difference of squares, we can factor the denominator as follows:lim x→2
x 2
−4
(2x+3)(2x−3)
Now, we can factor the numerator using grouping. Group the first two terms and the last two terms together:lim x→2
x 2
−4
(2x+3)(2x−3)
=lim x→2
(x 2−4) / (2x−3) (2x+3)
=lim x→2
(x−2) (x+2) / (2x−3) (2x+3)
=lim x→2
(x+2) / (2x+3)
= 4/7
The limit of the function lim x→2
x 2
−4
4x 2
+3x−22
= 4/7.
To know more about limit visit:
brainly.com/question/12211820
#SPJ11
PLEASE HELP 50 POINTS ONLY ANSWER IF YOU ARE POSITIVE IT'S CORRECT
Which is the graph of f(x) = x2 – 2x + 3?
A: On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (1, 2), and goes through (2, 3).
B: On a coordinate plane, a parabola opens up. It goes through (negative 2, 3), has a vertex at (negative 1, 2), and goes through (0, 3).
C: On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (2, negative 1), and goes through (4, 3).
D: On a coordinate plane, a parabola opens up. It goes through (negative 4, 3), has a vertex at (negative 2, negative 1), and goes through (0, 3).
Answer:
its C.
Step-by-step explanation:
took the test
Answer:
It's B
Step-by-step explanation:
There were some arguments about it but it's B on the actual unit test
\(\sf \sqrt{4}\times \sqrt{4}\)
Answer:
4
Step-by-step explanation:
\(\sqrt{4} *\sqrt{4}\\=2*2\\=4\)
Answer:
4
Step-by-step explanation:
√4 × √4 = 2 × 2 = 4
Without solving the system of equations how can you
determine if the two systems have the same solution?
3x + 6y = 12
x+y = 7
And
6x +12y = 24
x + y = 7
Answer:
Step-by-step explanation:
First Pair.
If you divide the top equation by 3 you get
x + 2y = 12
x + y = 7 From that I get that y = 5
Second pair
Do the same thing to the top equation only this time divide by 6
x + 2y = 4
x + y = 7
If you subtract again you get y = - 3
How far could you drive on 45 gallons of gas?
Answer:
depends on what car you are driving and its gas mileage
"Compare -√7 and -3.12345.... justify your reasoning." Please help ASAP!!! Thank you!
The comparison of the numbers is that -√7 is greater than -3.12345....
How to compare the numbers?The numbers are given as:
-√7 and -3.12345....
Using a calculator, we have:
-√7 = -2.6457.....
-2.6457.... is greater than -3.12345....
This means that
-√7 is greater than -3.12345....
Hence, the comparison of the numbers is that -√7 is greater than -3.12345....
Read more about irrational numbers at:
https://brainly.com/question/20400557
#SPJ1
2.1. Convert 15 cm to mm.
Answer:
150 mm
Step-by-step explanation:
To convert centimeters (cm) to millimeters (mm), you need to multiply the measurement by 10 since there are 10 millimeters in 1 centimeter.
1 cm = 10 mm
So, to convert 15 cm to mm:
15 cm * 10 = 150 mm
Therefore, 15 centimeters is equal to 150 millimeters.
Answer:
Step-by-step explanation:
1cm=10mm
15cm=150mm
Gasoline was $3.529 per gallon one week and $3.879 per gallon the next. By how much did the price change?
$3.879-$3.529=$0.35
hope this helps, ily!!! byesies have a nice day yar
Consider the vectors: a=(1,1,2),b=(5,3,λ),c=(4,4,0),d=(2,4), and e=(4k,3k)
Part(a) [3 points] Find k such that the area of the parallelogram determined by d and e equals 10 Part(b) [4 points] Find the volume of the parallelepiped determined by vectors a,b and c. Part(c) [5 points] Find the vector component of a+c orthogonal to c.
The value of k is 1, the volume of the parallelepiped is 12 + 4λ, and the vector component of a + c orthogonal to c is (1,1,1.5).
a) Here the area of the parallelogram determined by d and e is given as 10. The area of the parallelogram is given as `|d×e|`.
We have,
d=(2,4)
and e=(4k,3k)
Then,
d×e= (2 * 3k) - (4 * 4k) = -10k
Area of parallelogram = |d×e|
= |-10k|
= 10
As we know, area of parallelogram can also be given as,
|d×e| = |d||e| sin θ
where, θ is the angle between the two vectors.
Then,10 = √(2^2 + 4^2) * √((4k)^2 + (3k)^2) sin θ
⇒ 10 = √20 √25k^2 sin θ
⇒ 10 = 10k sin θ
∴ k sin θ = 1
Therefore, sin θ = 1/k
Hence, the value of k is 1.
Part(b) The volume of the parallelepiped determined by vectors a, b and c is given as,
| a . (b × c)|
Here, a=(1,1,2),
b=(5,3,λ), and
c=(4,4,0)
Therefore,
b × c = [(3 × 0) - (λ × 4)]i + [(λ × 4) - (5 × 0)]j + [(5 × 4) - (3 × 4)]k
= -4i + 4λj + 8k
Now,| a . (b × c)|=| (1,1,2) .
(-4,4λ,8) |=| (-4 + 4λ + 16) |
=| 12 + 4λ |
Therefore, the volume of the parallelepiped is 12 + 4λ.
Part(c) The vector component of a + c orthogonal to c is given by [(a+c) - projc(a+c)].
Here, a=(1,1,2) and
c=(4,4,0).
Then, a + c = (1+4, 1+4, 2+0)
= (5, 5, 2)
Now, projecting (a+c) onto c, we get,
projc(a+c) = [(a+c).c / |c|^2] c
= [(5×4 + 5×4) / (4^2 + 4^2)] (4,4,0)
= (4,4,0.5)
Therefore, [(a+c) - projc(a+c)] = (5,5,2) - (4,4,0.5)
= (1,1,1.5)
Therefore, the vector component of a + c orthogonal to c is (1,1,1.5).
Conclusion: The value of k is 1, the volume of the parallelepiped is 12 + 4λ, and the vector component of a + c orthogonal to c is (1,1,1.5).
To know more about orthogonal visit
https://brainly.com/question/32250610
#SPJ11
What is the probability of flipping a coin 7 times and getting heads 5 times? Round your answer to the nearest tenth of a percent.
BRAINLIEST!!!!! Write an algebraic expression from this verbal expression: six less than five times number squared
Answer:
5(x²)-6
Step-by-step explanation: please give brainliest
Write the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through
the point (9, -2)
Answer:
y = -1/3x + 1
Step-by-step explanation:
1) For a perpendicular line, the slope is the opposite reciprocal. What this means is that, the slope will be the opposite sign and flipped.
~-1/3 will be the new slope
2) Then you have to rewrite the problem using the point slope form which is y - y1 = m(x-x1). The values that we will be plugging in for x1 and y1 will be from the coordinate that you provided.
~ y - (-2) = -1/3(x-9)
3) Now simplify everything you can
~y+2 = -1/3(x-9)
4) Now distribute the -1/3
~y+2 = -1/3x + (9)(1/3)
~y+2 = -1/3x + 3
5) Now we need to subtract 2 from both sides to get y by itself.
~y = -1/3x + 1
PLEASE HELP ME ON THIS ALGEBRA PROBLEM!!!
Bob is interested in examining the relationship between the number of bedrooms in a home and its selling price. After downloading a valid data set from the internet, he calculates the correlation. The correlation value he calculates is only 0.05What does Bob conclude? A)Bob gives up on his research becauser=.05 means there is no relationship of any kind between bedrooms and selling price. B) Bob continues his research because even though there is no linear relationship here, there could be a different relationship.
Bob continues his research because even though there is no linear equation relationship between the number of bedrooms and selling price, there could be another type of relationship.
Bob continues his research because even though the correlation value he calculated between the number of bedrooms and the selling price was only 0.05, this does not necessarily mean that there is no relationship of any kind between these two variables. It simply means that there is no linear relationship between the two. There could still be other types of relationships between the two variables, such as an exponential or quadratic relationship. It is possible that further analysis and exploration of the data set would reveal such a relationship and allow Bob to uncover the relationship between the two variables. Additionally, even if the correlation value is low, it does not necessarily mean that there is no relationship between the two variables. It simply means that the relationship is weak. Therefore, Bob should continue his research in order to uncover any potential relationships between the number of bedrooms and selling price.
Learn more about linear equation here
https://brainly.com/question/11897796
#SPJ4
A garage contains orange, black and green cars. Of the cars,
orange, are black and the rest are green. What is the ratio of orange
to black to green cars, in its simplest form?
Answer:
1:1:1
Step-by-step explanation:
The ratio of orange to black to green cars is 1:1:1.
At Smith Mountain Lake Boat Rentals, it cost $25 per hour to rent a pontoon boat, plus a one-time charge for cleaning. The Bengal family rented a boat from 11 am - 6:30 pm and paid $226.50. If the Jones family rented a boat from 8 am- 1pm, how much did the pay?
Answer: $164
Step-by-step explanation:
25*7=175
175+12.5
226.50-187.50
5*25=125+39
Jones family payed $164
Find the value of a3 + 3b2 when a = 2 and b = -2
Given:
a = 2 and b = -2.
To find:
The value of \(a^3+3b^2\).
Solution:
We need to find the value of expression \(a^3+3b^2\) at a = 2 and b = -2.
Substituting a = 2 and b=-2 in \(a^3+3b^2\), we get
\((2)^3+3(-2)^2\)
\(=8+3(4)\)
\(=8+12\)
\(=20\)
Therefore, the value of expression \(a^3+3b^2\) at a = 2 and b = -2 is 20.
please help with 3 4 5
Answer:
3)\(x^{6} + y^{6} =x^{6} +y^{6}\)
5)\(-144x^{7} y^{8}\)
Srry I only got this hopefully this helps.
Step-by-step explanation:
Please please heeeeeeeeeeeeeeeeeeeeeeeeeeeeeellllllllllllllllllllllllpppppppppppppppppppppppppppppppppppppppppppp
Answer:
22.4
Step-by-step explanation:
a^2 + b^2 c^2
20^2 + b^2 = 30^2
400 + b^2 = 900
b^2 = 500
b = 22.4
HELPPPPPP ME PLEASEEEEEEE AND THANKKKK UUUUU
Answer:
I know one is zay I think that’s it
Step-by-step explanation:
Alvin is 10 years older than Elga. The sum of their ages is 78. What is Elga's age?
Answer:
34
Step-by-step explanation:
A=10+E
10+E+E=78
10+2E=78
2E=78-10
2E=68, then divide by 2
E=34 while e is elga and a is alvin
Decide whether the following statement is compound if lana wins the election then mary will smile
The correct answer is OD. Although the word "then" appears in the statement, it is not used as a logical connective. So the statement is not compound.
The statement "If Laura sells her quota, then Marie will be happy" is a single declarative sentence. It consists of a conditional clause ("If Laura sells her quota") and a consequent clause ("then Marie will be happy"). However, these two clauses are not independent statements that can stand alone. Instead, they are connected in a cause-and-effect relationship. The word "then" in this context is not functioning as a logical connective, but rather as an indicator of the consequent clause.
A compound statement is formed by combining two or more independent statements using logical connectives such as "and," "or," or "if...then." In the given statement, there is no logical connective joining two independent statements.
Therefore, the statement is not compound.
Learn more about compound statement click;
https://brainly.com/question/5429065
#SPJ4