v₁·v₂ is -18 which is correct option(D)
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that perform arithmetic operation are called arithmetic operators .
Operators which let do basic mathematical calculations
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation : Divides left hand operand by right hand operand
For example 4/2 = 2
Given that,
v1 = (3,-4) and v2 = (2,6)
To determine v₁·v₂
v₁·v₂ = 3·(2) - 4·(6)
v₁·v₂ = 6 - 24
v₁·v₂ = -18
Hence, the v₁·v₂ is -18.
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is it possible for a triangle to have an 80 degree angle and 105 degree angle? How do you know?
Answer:
Not possible.
Step-by-step explanation:
The sum of all 3 angles in a triangle is 180°. With the 80° and 105°, those add up to a total of 185°. This is bigger than can be with a given triangle. Therefore, a triangle with an 80° angle and a 105° angle is not possible.
Answer:
No it isn't possible
Step-by-step explanation:
sum of three angles of any triangle is 180 degrees.
so, as per Given question sum of only two angles exceeds 180 degrees which is " 80+105= 185" so it's not possible.. Hope this answer helps you
how to determine proofs
Answer:
check footprints and then check finger print the finger print pour powder on it and Trace
a suit is on sale for 15% off. the sale price is $442. what is the regular price?
Answer:
520
Step-by-step explanation:
100% - 15% = 85%
85% of the original price is 442 dollars
100% = x
solve for x:
x * 0.85 = 442
x= 520 dollars
regular price is 520 dollars.
Davion wants to buy 4 tickets to a basketball game. He sees that there is a discount for $25 off his entire purchase at checkout, so the tickets would cost him $215 before tax. What was the original price of each ticket?
Answer:
$60 per ticket
Step-by-step explanation:
$215 is what it costs after the discount, so add the amount taken off, back on.
215+25
240
Then, divide by 4 to find the cost of each individual ticket.
240/4
60
Hope it helps!
Ayudenme con esto porfavoor
Figura 1 = ⅓
Figura 2 = ½
Figura 3 = 4/7
Figura 4 = 4/9
↦ Count all the shaded regions (for numerator) & all the parts of the figure (for denominator).
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
The prime factorization of K is: K = 3x5x7. List all the composite factors of K.
Answer:
15, 21, 35, 105
Step-by-step explanation:
A composite number is a positive integer that has more than two different factors. For example, composite number include 4, 6, 8, 9, 10, 12, 14, 15, 16, 18...etc.
So, if we multiply 3x5x7=105
All the factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105. So we just need to figure out the factors that are composite which are
15, 21, 35, 105
The list all the composite factors of K : 15, 21, 35, 105
What is prime integer?"It is an integer that has only two different factors 1 and that integer itself."
What is prime factorization of a number?"It is a method to find the prime factors of a given number."
What is composite integer?"It is an integer that has more than two different factors. "
For given question,
The prime factorization of K is:
K = 3 × 5 × 7
This means the number K is, 3 × 5 × 7 = 105
The factors of 105 are: 1, 3, 5, 7, 15, 21, 35, 105.
We need to list all the composite factors of K.
From above factors of 105 we can observe that,
15 has factors 1, 3, 5, 15;
21 has factors 1, 3, 7, 21;
35 has factors 1, 5, 7, 35;
and 105 has more than two factors factors as mentioned above.
This means, the numbers 15, 21, 35 and 105 are composite numbers.
Therefore, the list all the composite factors of K : 15, 21, 35, 105
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The difference of twice a number and five is three.Find the number.Translate the world problem to an equation.Which steps describe how to solve the equation?
Answer:
Step-by-step explanation:
let the number=x
2x-5=3
2x=3+5
2x=8
x=8/2=4
Let f(x) = 4x - 5 and g(x) = 3x + 7. Find f(x) + g(x) and state its domain.
7x - 12; all real numbers
7x + 2; all real numbers
x + 2; all real numbers
X - 12; all real numbers
Answer:
2nd option
Step-by-step explanation:
f(x) + g(x)
= 4x - 5 + 3x + 7 ← collect like terms
= 7x + 2
domain is all real numbers
What is the value of this expression?
Answer:
-3
Step-by-step explanation:
Step 1: Solve (-2+(-1))^2/3 3
1. -2+(-1) = -3
2. (-3)^2 = 9
3. 9/3 = 3
Step 2: Solve (-4)^2-17 -1
1. 3/-1
Step 3: Simplify 3/-1 = -3. I hope this helped and please don't hesitate to reach out with more questions!
he time between arrivals of small aircraft at a county airport is exponentially distributed with a mean of one hour. Round the answers to 3 decimal places. (a) What is the probability that more than three aircraft arrive within an hour? Enter your answer in accordance to the item a) of the question statement (b) If 30 separate one-hour intervals are chosen, what is the probability that no interval contains more than three arrivals? Enter your answer in accordance to the item b) of the question statement
Answer:
A) 0.019
B) 0.563
Step-by-step explanation:
a) We will use Poisson distribution formula to solve this;
The formula is given as;
P(X = x) = ((e^-λ) × (λˣ))/x!
Mean is 1. Thus;
λ = 1 aircraft/hour.
Thus, the probability that more than three aircrafts will arrive within an hour is written as; P(X > 3)
Thus;
P(X > 3) = 1 - P(X ≤ 3)
Thus;
1 - P(X ≤ 3) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]
Solving through online calculator, we have;
P(X > 3) = 1 - 0.98101
P(X > 3) = 0.01899
To 3 decimal places, we have; P(X > 3)= 0.019
b) Probability of one 1-hour interval not containing more than 3 arrivals is, let's first find;
P(X ≤ 3) = 1 - P(X > 3)
P(X ≤ 3) = 1 - 0.01899
P(X ≤ 3) = 0.98101
Since there are 30 one-hour intervals, then we have;
Probability that none of the thirty 1-hour intervals will contain more than 3 arrivals;
(P ≤ 3) = (0.98101)³⁰
(P ≤ 3) = 0.5626
Approximating to 3 decimal places, we have;
(P ≤ 3) = 0.563
The time spent by Nadia to answer the geography quiz is 30 minutes more than the time spent to answer the history quiz. What is the total time that Nadia took to answer both quizzes?
Answer:
1 hour
Step-by-step explanation:
hope it helps ....
The function f(x) is a quadratic function and the zeros of f(x) are 1 and 5. The y-intercept of f(x) is 20. Write the equation of the quadratic polynomial in standard form.
Answer:
4x² - 24x + 20 = 0
Step-by-step explanation:
a(1)² + b(1) + 20 = 0
a(5)² + b(5) + 20 = 0
a + b = - 20 ⇒ b = - a - 20 ...... (1)
25a + 5b = - 20 .......... (2)
(1) -----> (2)
25a + 5( - a - 20) = - 20
20a - 100 = - 20 ⇒ a = 4
4 + b = - 20 ⇒ b = - 24
4x² - 24x + 20 = 0
is y=9x proportinal?
Answer:
yeah it is
y is directly proportional to x
proportionality constant is 9
PLEASE ANSWER HURRY!!
What is 2.16 (6 is repeating) to a fraction??
Answer:
[tex]2\frac{1}{6}[/tex]
Step-by-step explanation:
let x=2.16666...
10 x=21.666...(1)
100 x=216.666...(2)
(2)-(1) gives
90x=195
6x=13
x=13/6
x=2 1/6
what is the y-intercept?
Answer:
(0, 9)
Step-by-step explanation:
The y-intercept is the point when x = 0. By looking at the graph, when x = 0, y = 9. Therefore, the y-intercept of the line is (0, 9).
Complete the following proof by dragging and dropping the correct reason in the spaces below
Answer:
2
Step-by-step explanation:
1+1 = 2
So the answer is 2
hope this helps
What is the length of each side of a square if its area is 121 ft??
11 feet
12 feet
10 feet
30 feet
Answer:
11 feet
Step-by-step explanation:
Given,
Area of square ( a^2 ) = 121 ft
To find : Length of each side ( a ) = ?
Formula : -
Area of square = a^2
a^2 = 121
a = √121
a = 11 feet
Answer:
11 ft = side length
Step-by-step explanation:
The area of a square is found by
A = s^2
121 = s^2
Taking the square root of each side
sqrt(121) = sqrt(s^2)
11 = s
is 65.4279 irrational or rational? Explain
(X, Y) satisfy the equation? JW Is (-94,-5) a solution to the equation y = x + 89? yes no
Answer:
si
Step-by-step explanation:
si :v
Answer:
yes
Step-by-step explanation:
y = x + 89
-5 = -94 + 89
-5 = -5
What is 7/9 divided by 1/3
Answer:
[tex]{ \tt{ = \frac{7}{9} \div \frac{1 }{3} }} \\ = { \bf{ \frac{7}{9} \times \frac{3}{1} }} \\ = \frac{7}{3} [/tex]
(NEED THIS ASAP)
Tests show that the hydrogen ion concentration of a sample of apple juice is 0.0003 and that of ammonia is 1.3 x 10-9. Find the approximate pH of each liquid using the formula pH = -log (H+), where (H+) is the hydrogen ion concentration The pH value of the apple juice is___ The pH value of ammonia is____
1.pH of apple juice
A. 8.11
B. 1.75
C. 3.5
D. 2.1
2. pH of ammonia
A. 1.1
B. 7.0
C. 5.4
D. 8.9
Answer: I believe but not 100% sure
1) C
2) B
Step-by-step explanation:
The pH value of the apple juice is 3.5, option C) is the correct answer.
The pH value of the ammonia is 8.9, option D) is the correct answer.
What is pH of solution?The pH of a solution is defined as the logarithm of the reciprocal of the hydrogen ion concentration [H+] of the given solution.
From the formular;
pH = -log[ H⁺ ]
Given the data in the question.
For the Apple juice;
hydrogen ion concentration H⁺ = 0.0003 pH of the apple juice pH = ?pH = -log[ H⁺ ]
pH = -log[ 0.0003 ]
pH = 3.5
The pH value of the apple juice is 3.5
Option C) is the correct answer.
For the ammonia;
hydrogen ion concentration H⁺ = 1.3 × 10⁻⁹pH of the ammonia pH = ?pH = -log[ H⁺ ]
pH = -log[ 1.3 × 10⁻⁹]
pH = 8.9
The pH value of the ammonia is 8.9
Option D) is the correct answer.
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Find the value of x. Round to
the nearest tenth.
17°
47
Х
X =[?]
Answer:
13.7 units
Step-by-step explanation:
Hi there!
The dotted lines and the hypotenuse of the green triangle create a new right triangle, with one of its acute angles measuring 17 degrees and its hypotenuse measuring 47 units.
Given this information and that we must solve for the side opposite the given angle, we can use the sine ratio:
[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]
Plug in known information
[tex]sin17=\frac{x}{47}\\47*sin17=x\\13.7=x[/tex]
Therefore, the value of x when rounded to the nearest tenth is 13.7 units.
I hope this helps!
Mr. Austin decided to make a healthy snack for the 20 students in his class. He gave each student a dish of yogurt and divided 6 cups of strawberries equally among the dishes.
How many cups of strawberries did each student get in their yogurt?
Write your answer as a proper fraction or mixed number.
Answer:
3/10 of a cup
Step-by-step explanation:
Find how many cups of strawberries each student got by dividing 6 by 20:
= 6/20
Simplify this by dividing each number by 2:
= 3/10
So, each student got 3/10 of a cup of strawberries
what is the value of m in the equation 1/5m - 2/3y = 30 when y = 15
Answer:
200
Step-by-step explanation:
1/5m-2/3y=30
1/5m-2/3(15)=30
1/5m-30/3=30
1/5m-10=30
1/5m=30+10
1/5m=40
m=40/(1/5)
m=(40/1)(5/1)
m=200/1
m=200
In a test,correct answers carry +3 marks and wrong answers carry -1 marks.Ramesh answered all the questions.He scored 79 marks,though he maked 5 mistakes.Find the number of correct answers?
Step-by-step explanation:
let wrong answers be y
let right answer be x
3x-1y=79
find another equation
Is the function g(x)= –5x+4 linear or nonlinear
Express 2 minutes as a percentage of 5 minutes.
Answer:
40%
Step-by-step explanation:
2 / 5 = 0.40
0.40 x 100 = 40%
Please help me with this one
Answer:
71.51
Step-by-step explanation:
A=ah+bh+ch+1
2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=3·3+7·3+7·3+1
2·﹣34+2·(3·7)2+2·(3·7)2﹣74+2·(7·7)2﹣74=71.51219
A triangle has the vertices of P(2,5),Q(-4,7) and R(-2,-1) classify the triangle is scalene, Isoceles or an equilateral triangle
Answer:
isoceles
Step-by-step explanation:
The vertices are not equal
1. Describe the graph of the line x=5
Answer: a Line going up and down
Step-by-step explanation:
Answer:
See explanation below
Step-by-step explanation:
The line x = 5 would be vertical and lies on x = 5 within the x-axis.