Answer:
Y
Step-by-step explanation:
i think its Y
Solve this system using ANY method 10x-2y=43y-9=15x
To answer this question we will use the substitution method.
Solving the second equation for y we get:
\(\begin{gathered} 3y-9=15x, \\ 3y=15x+9, \\ y=5x+3. \end{gathered}\)Substituting the above result in the first equation we get:
\(10x-2(5x+3)=4.\)Adding like terms we get:
\(\begin{gathered} 10x-10x-6=4, \\ -6=4. \end{gathered}\)Now, from the above result, we get that the system is inconsistent, therefore it has no solutions.
Answer: No solution.
parking survey: for a class assignment, a group of statistics students set up a table near the student parking lot. they asked students who passed by to complete a quick survey about whether they support the building of a multi-level parking structure that would add 425 new spaces at the college. they used the information from the survey to calculate the 95% confidence interval: (0.53, 0.72). to which population does the confidence interval apply?
As per the given situation, D. these apply only to the population of those students who drive to the college.
The study's 95% confidence interval only pertains to the group of students who drive to the institution and were present near the parking lot when the survey was conducted. Since the sample might not be entirely representative of the total population of interest, it may not necessarily apply to all students who drive to college.
The purpose of the poll was to learn whether or not college students supported the construction of a multi-level parking garage that would add 425 new spaces to the campus. The students also computed a 95% confidence interval based on the survey results to determine the range of expected values for the genuine proportion of students who favour the construction of the new parking structure.
Complete Question:
parking survey: for a class assignment, a group of statistics students set up a table near the student parking lot. they asked students who passed by to complete a quick survey about whether they support the building of a multi-level parking structure that would add 425 new spaces at the college. they used the information from the survey to calculate the 95% confidence interval: (0.53, 0.72). to which population does the confidence interval apply?
A. They apply to all students at the college.
B. They apply only to the population of those who use the student parking lot.
C. The results do not apply to any population because this was a convenience sample.
D. They apply only to the population of those students who drive to the college.
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What is the value of y=5x+3 when x = 3
Answer:
y = 5(3)+3
= 15 +3
= 18
y = 18
hope it's helpful ❤❤❤❤
THANK YOU.
Express the fraction 11/30 in decmail form
Answer:
.36666667
Step-by-step explanation:
3(4x - 2) > 7x + 19
Answer:
12x-6>7x=19
Step-by-step explanation:
Find the following roots a.
5
(−1−i)
b.
3
(−8i)
These are the roots of the given expressions.
a. The root is \(\(-5 - 5i\).\)
b. The root is\(\(-24i\).\)
a. To find the root of \(\(5(-1 - i)\),\) we can simplify the expression:
\(\(5(-1 - i) = -5 - 5i\)\)
Thus, the root is \(\(-5 - 5i\).\)
b. To find the root of \(\(3(-8i)\),\) we simplify the expression:
\(\(3(-8i) = -24i\)\)
Therefore, the root is\(\(-24i\).\)
In both cases, we multiplied the given complex numbers by their respective coefficients. When we multiply a complex number by a scalar, such as 5 or 3, it scales both the real and imaginary parts of the complex number. In case (a), both the real part (-1) and the imaginary part \((-i) of \(-1 - i\)\) are multiplied by 5, resulting in\(\(-5 - 5i\).\) In case (b), the imaginary part (-8i) is multiplied by 3, yielding \(\(-24i\).\)
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given the set -2<_x<_2 where x is an integer what is the solution of -2(x-5)<10
For the given set -2≤ x ≤ 2 , x is given as integer, the solution for the given expression -2(x-5)< 10 is equal to x = 1 and x =2.
As given in the question,
Given set is equal to :
-2≤ x ≤ 2
where x belongs to integer
For the given expression -2(x-5) < 10 the solution set is equal to :
-2(x-5) < 10
Divide by -2 both the side we have,
( x -5 ) > 10 /-2
⇒ (x-5) >-5
Add 5 both the side we get,
x-5 +5 > -5 +5
⇒ x > 0
Value of x is less than or equal to 2.
x = 1 and x =2
Therefore, for the given set -2≤ x ≤ 2 , x is given as integer, the solution for the given expression -2(x-5)< 10 is equal to x = 1 and x =2.
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Mark the statements that are true. A. An angle that measures π/4 radians also measures 45°. B. An angle that measures 180° also measures π radians. C. An angle that measures 60° also measures π/3 radians. D. An angle that measures π/3 radians also measures 30°.
Answer:
TRUE: A, B, C
False: D
Step-by-step explanation:
A full circle of 360° has a radian measure of 2π radians. The relationship is proportional, so π radians is 180°.
__
A. An angle that measures π/4 radians also measures 45°. TRUE
45° × π/180° radians = π/4 radians
B. An angle that measures 180° also measures π radians. TRUE
180° × π/180° radians = π radians
C. An angle that measures 60° also measures π/3 radians. TRUE
60° × π/180° radians = π/3 radians
D. An angle that measures π/3 radians also measures 30°. FALSE
30° × π/180° radians = π/6 radians
An ice cream shop sells cones in two sizes.
A large cone has a diameter of 3 inches
and a height of 5 inches while a small
cone has a diameter of 2 inches and a
height of 5 inches. Find the difference in
volume of the cones to the nearest
tenth.
SOLUTION:
HOW DO YOU KNOW?
Y’all I need help ASAP!! All work is due at 12am and I can’t fail.
Answer: The difference is 6.5 inches.
Step-by-step explanation:
The volume of a cone uses the formula V= nr^2 h/3
So the large cone's volume is V= 3.14 * 1.5^2 *5/ 3
v= 11.775
The volume of the small cone is V= 3.14 * 1^2* 5/3
V=5.23
Now find the difference. 11.775 - 5.23= 6.54
Round to the nearest tenth is 6.5
What is the reciprocal of:
3/7
Answer:
7/3
Step-by-step explanation:
A reciprocal is a flipped version of the original fraction, so if you flip 3/7, it turns into 7/3.
Hope this helps :)
A watermelon weights 6.45 kilograms. How many grams does the watermelon weigh?
Answer:
6450
Step-by-step explanation:
Answer:
6450
Step-by-step explanation:
Multiply the value by 1000.
On the football team, two out of every seven players are seniors. If the team has 84 players, how many of the players are seniors.
Answer:
the number of players being seniors is 24
Step-by-step explanation:
For every 7 players at least 2 were seniors so you can make it into a ratio 2:7. When you divide 84 by 7 you get 12 then multiply 12 with 2 and you get 24.
have good day ( ^﹏^)
What is the length of the hypotenuse of a 30-60-90 triangle if the short leg has a length of 10?
Answer: 20
Step-by-step explanation:
30-60-90 triangles are special: Their side lengths fall in a ratio of 1:2:\(\sqrt{3}\), in order of Shortleg : hypotenuse : longleg
Since we know the short leg is 10, the hypotenuse must be double, or 20.
An object is added to a graduated cylinder containing 12. 5 ml of water. If the volume of the object is 7. 6 ml, what is the new volume of the water?.
1.644 gml⁻¹ is is the new volume of the water .
What is density, ?
Density is the concept that if you weigh two identically sized cubes made of different materials, they often won't weigh the same. It also implies that a massive cube of Styrofoam can have a weight equal to that of a tiny cube of lead. Iron, lead, or platinum are a few examples of dense materials.The ratio of an object's mass to its volume is its density.The amount of "stuff" that is contained in a certain amount of space is measured by density. For instance, a block of gold will be denser than a chunk of the softer, lighter element lead (Pb), which is a heavier element (Au). A brick is more dense than a block of Styrofoam. It is described as mass divided by volume.density = mass/volume
ρ = 12.5/7.6
ρ = 1.644 gml⁻¹
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Imagine that 1 in 5 individuals is allergic to peanuts. A peanut allergy test gives a positive result 10% of the time. If someone has a peanut allergy, the test will give a positive result 40% of the time. What is the probability that you have a peanut allergy if the test result is positive?.
The probability that you have a peanut allergy given a positive test result is 50%.
To find the probability that you have a peanut allergy given a positive test result, we can use Bayes' theorem.
Let's define the following events:
A: You have a peanut allergy.
B: The test result is positive.
We are given the following probabilities:
P(A) = 1/5 = 0.2 (1 in 5 individuals is allergic to peanuts).
P(B|A) = 0.4 (if you have a peanut allergy, the test will give a positive result 40% of the time).
P(B|not A) = 0.1 (if you don't have a peanut allergy, the test will give a positive result 10% of the time).
We want to find P(A|B), which is the probability that you have a peanut allergy given a positive test result.
Bayes' theorem states:
P(A|B) = (P(B|A) × P(A)) / P(B)
Now, let's calculate P(B):
P(B) = P(B|A) × P(A) + P(B|not A) × P(not A)
P(not A) is the probability of not having a peanut allergy, which is equal to 1 - P(A):
P(not A) = 1 - P(A) = 1 - 0.2 = 0.8
Now, we can calculate P(B):
P(B) = (0.4 × 0.2) + (0.1 × 0.8) = 0.08 + 0.08
= 0.16
Now, let's calculate P(A|B) using Bayes' theorem:
P(A|B) = (P(B|A) × P(A)) / P(B)
P(A|B) = (0.4 × 0.2) / 0.16
P(A|B) = 0.08 / 0.16
P(A|B) = 0.5
Therefore, the probability that you have a peanut allergy given a positive test result is 50%.
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multiplying two complex numbers involves ______.
a. scaling
b. dilation
c. change in magnitude
d. scaling and rotation
Answer:
Multiplying a complex number by a real number
(x + yi) u = xu + yu i. In other words, you just multiply both parts of the complex number by the real number. For example, 2 times 3 + i is just 6 + 2i. Geometrically, when you double a complex number, just double the distance from the origin, 0.
binomial methods
Complex numbers use binomial methods of multiplication because unlike real numbers, imaginary numbers have two components.
So probably A. I sorry, but I need more information. Hope this helps
Step-by-step explanation:
I just took the test and the answer that was right was d. scaling and rotation
Your weekly net income is $380. Your total budgeted monthly expenses $1. 550,00. Do you have a surplus or deficit balance at the end of the month?
We will have a Deficit balance of $30 at the end of the month.
"Unilateral transfer" is the term used to describe the balance of payments deficit's most obvious cause. For instance, Americans who contribute money to another country in the form of foreign aid do not receive anything in return (economically speaking). Few economists would argue that foreign aid-related balance of payment deficits are a "bad thing."
Weekly net income = $380
Monthly net income = $380 * 4 weeks = $1520.
Monthly expenses = $1550
Balance = Monthly income - monthly expenses = $-30.
The negative sign shows a deficit of $30 monthly
Therefore, We will have a Deficit balance of $30 at the end of the month.
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5. To qualify for the state cross-country championships, Nora needs to run 4 miles in 30 minutes or less. Which is the slowest average rate, in minutes per mile, Nora could run to qualify for the state cross-country championships?
a) 7.2 b) 7.4 c) 7.5 d) 7.8
Nora could run 7.5 minutes per mile to qualify for the state cross-country championships. The correct answer is option c.
To qualify for the state cross-country championships, Nora needs to run 4 miles in 30 minutes or less. So, her average rate should be:
average rate = total time / total distance
If she runs at the slowest rate possible to still qualify, then her average rate would be:
average rate = 30 / 4 = 7.5 minutes per mile
Therefore, the correct option is c) 7.5.
If she runs slower than this average rate, then her total time would exceed 30 minutes and she would not qualify.
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Dont google the answer!!!
What is 1+8+473895789507096298759573094587092747638957698745
Answer:
4.7389579e+47
Step-by-step explanation:
Answer:
4737389578950709629875973094587092747638957698⅞54
Combine like terms. −5y^3+3y^3+5x^3−3y^3+x^3−2y^2+3y^2
(-5y³ + 3y³ - 3y³) + (5x³ + x³) + ( -2y² + 3y²) is the combined terms of the given expression.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
Given terms are
⇒ -5y³ + 3y³ + 5x³ - 3y³ + x³ -2y² + 3y²
Combine all y³ terms
-(5y³ + 3y³ - 3y³)
Combine all x³ terms
(5x³ + x³)
Combine all y² terms
( -2y² + 3y²)
Add all together (-5y³ + 3y³ - 3y³) + (5x³ + x³) + ( -2y² + 3y²) is the combined likely terms.
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hi! are you good at math? well feel free to help!
Answer:
wall to bottom of ladder =8 feet
Step-by-step explanation:
using the Pythagorean theorem
ladder length=2W+1
(2W+1)^2=15^2+W^2
4W^2+4W+1=225+W^2
simplify
3W^2+4W-224=0
divide by 3
w^2+1.33W-74.6=0
factor
(W+9.3)(W-8)=0
W=8 feet
Please tell me how to round 14,780
Answer:
for 100: 14,800
for 10: 14,780
for 1: 14,780
for 1000: 15,000
Step-by-step explanation:
ok so just go for like if its
18 its going to be 20 if its 11 its going to be 10
Hope this helps!!
PLEASE CROWN TYY
Answer:
Rounding Rules:
1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40. ...
2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 33 rounded to the nearest ten is 30.
Step-by-step explanation:
100: 14,800
10: 14,780
1: 14,780
1000: 15,000
what is the vaule 7 to the 6 power
Answer:
117,649
Step-by-step explanation:
Good luck! <3
Answer:
7 to the 6th power is conventionally written as 76, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 7^6.
76 stands for the mathematical operation exponentiation of seven by the power of six.
As the exponent is a positive integer, exponentiation means a repeated multiplication:
The exponent of the number 7, 6, also called index or power, denotes how many times to multiply the base (7).
Thus, we can answer what is 7 to the 6th power as
7 to the power of 6 = 76 = 117649.
HELP ME PLEASE!!!!!!
the answer is d (the last one) 1/6.
i hope this helps.
Answer:
C
Step-by-step explanation:
Because their's 3 with 2 shaded in
Let P(n) be the statement that 13 + 23+….n3 = (n(n + 1) / 2)² for the positiveinteger n. a.) What is the statement P(1)? b.) Showthat P(1), completing the basis step of theproof?
Since both sides of the equation are equal, we have completed the basic step of the proof, showing that P(1) is true.
a.) The statement P(1) is obtained by substituting n=1 into the equation. So, P(1) would be: 1³ = (1(1 + 1) / 2)²
b.) To show that P(1) is true, we need to prove that both sides of the equation are equal:
Left side: 1³ = 1
Right side: (1(1 + 1) / 2)² = (1(2) / 2)² = (2 / 2)² = 1² = 1
Since both sides of the equation are equal, we have completed the basic step of the proof, showing that P(1) is true.
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a) The equation is not true for n = 1, so P(1) is false.
b) The positive integer n, 13 + 23 + … + n3 = (n(n + 1) / 2)²" is not true for n = 1
a) To find P(1), we substitute n = 1 into the equation given:
13 = (1(1 + 1) / 2)²
13 = (1 / 2)²
13 = 1/4
The equation is not true for n = 1, so P(1) is false.
b) To complete the basic step of the proof, we need to show that P(1) is true.
However, we have just shown that P(1) is false.
This means that the statement "for the positive integer n, 13 + 23 + … + n3 = (n(n + 1) / 2)²" is not true for n = 1.
Therefore, the proof cannot proceed and is incomplete.
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which container holds more detergent? Justify your answer.
Answer:
soapy suds
Step-by-step explanation:
A plane traveled 1000 miles each way to Albuquerque and back. The trip there was with the wind. It took 10 hours. The trip back was into the wind. The trip back took 20 hours. What is the speed of the plane in still air? What is the speed of the wind?
100 mph going there, 50 coming back
Which statement about convergent infinite
geometric series is true?
A- The graph of a convergent infinite geometric
series moves towards infinity.
B- Convergent infinite geometric series sum to a
single value.
C-The graph of a convergent infinite geometric
series curves away from its sum.
D- A convergent infinite geometric series could
have a common ratio of 4.
Answer:
B) Convergent infinite geometric series sum to a single value
Step-by-step explanation:
An infinite geometric series of the form \(\[ \sum_{r=1}^{\infty} ar^{n-1}\) converges if \(|r|<1\), so the summation of the series will result in a single value if that is true.
Write true or false
(5) The sum of two adjacent angles is 180°
Answer:
Step-by-step explanation:
Only true if they are on a straight line and they are the only angles on that line.
uppose v,w∈r3are orthogonal unit vectors. let u=v×w. show that w=u×v and v=w×u.
To show that w = u × v and v = w × u, we need to demonstrate that the cross product of vectors u and v yields the same result as the cross product of vectors w and u.
Given that u = v × w, let's calculate the cross product of w and u:
w × u = (u × v) × u
Since the cross product is not associative, we need to use the vector triple product identity:
w × u = u × (v × u) - (u · u) v
Since u is orthogonal to v, the dot product (u · v) is zero. Therefore, we can simplify the equation:
w × u = u × (v × u)
Next, let's calculate the cross product of v and u:
v × u = (u × v) × v
Using the vector triple product identity:
v × u = v × (u × v) + (v · v) u
Again, since u is orthogonal to v, the dot product (v · v) is zero:
v × u = v × (u × v)
Thus, we have shown that w = u × v and v = w × u, indicating that the cross products are equivalent in both directions.
In summary, when u, v, and w are orthogonal unit vectors, the cross product of u and v yields the same result as the cross product of w and u, as well as the cross product of v and w.
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