if A×B ={(-1,1),(-1,2),(2,1),(2,2),(3,1),(3,2)}. find A×A and B×B. i need for exam.
Answer:
hope this will help you more
Step-by-step explanation:
Explanation is in the attachmenthope it is helpful to you
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Solve for x. Round to the nearest tenth of a degree, if necessary
Step-by-step explanation:
here's the answer to your question
Use the elimination method to solve the system of equations
2x+3y=8
x-y=9
Answer:
Step-by-step explanation:
Answer: x = 7 and y = -2
Step-by-step explanation:
2x +3y = 8 ----------------(1)
x-y = 9 ----------------------(2)
multiply (2) by 2
2x-2y = 18--------------------(3)
subtract (2) from (3)
-5y = 10
Divide bothside by -5
y = -2
Similarly, multiply (2) by 3
3x-3y = 27-----------------------(4)
add (1) and (4) together
5x = 35
Divide bothside by 5
x= 7
Therefore, x =7 and y= -2
Write an algebraic expression for each word phase 9 less than x 6 minus f t multiplied by 6 one half of a number n
Answer:
9 < x
6 - f
t × 6
1/2n
Step-by-step explanation:
Given expressions:
9 less than x
Less than (<)
9 less than x = 9 < x
6 minus f
Minus (-)
= 6 - f
t multiplied by 6
Multiplication (×)
= t × 6
one half of a number n
One half = 1/2
one half of a number n
= 1/2 × n
= 1/2n
= n/2
In basketball, hang time is the time that both of your feet are off the ground during a jump. The equation for hang time is [tex]t = 2(\frac{2h}{32} )\frac{1}2[/tex] , where t is the time in seconds, and h is the height of the jump, in feet.
Player 1 had a hang time of 0.9 s. Player 2 had a hang time of 0.8 s. To the nearest inch, how much higher did Player 1 jump than Player 2?
Answer:
8 inches
Step-by-step explanation:
Given:
t = 2 ( 2h/32 ) ^1/2 ( or: t = 2 * sqrt ( 2h/32) ).
Step 1: First Player
0.9 = 2 * sqrt( 2h/32 ) / ^2 ( we will square both sides of equation )
0.81 = 4* 2h/32
0.81 = h/4
h 1 = 0.81 * 4 = 3.24 ft
Step 2: Second Player
0.8 = 2 * sqrt( 2h/32 ) /^2
0.64 = 4 * 2 h/32
h 2 = 0.64 * 4 = 2.56 ft
Step 3: Simplify
h 2 - h 1 = 3.24 - 2.56 = 0.68 ft
and since 12 in = 1 ft:
0.68 * 12 = 8.16 in ≈ 8 in.
Which point represents the unit rate?
Show all work to multiply (3+ Square root of -16)(6- square root of -64)
Answer:
1042-96i
Step-by-step explanation:
(3 + 16i)(6 - 64i)
6(3 + 16i)(3 - 32i)
(6) 9 - 96i + 48i +1024
What is the value of W?
5 units
7 units
14 units
15 units
Answer:
5 units!
Step-by-step explanation:
Because Rectangle Perimeter = 2(a+b)
a=2w-1, b=w
2(2w-1+w)=28
3w-1=14
3w=15
w=5
So the answer is 5! 5! 5! A!A!A!
Fighting!! o(≧o≦)o
3. The following are the scores you shot in five rounds of golf: 70,80,75,75,80. The variance is: A. 3.74 C. 14 B. 196 D. 70
Answer:
Option C.
Step-by-step explanation:
For a given set of N elements:
{x₁, x₂, ..., xₙ}
The mean is given by:
[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
And the variance is given by:
[tex]v = \frac{(x_1 - M)^2 + (x_2 - M)^2 + ... + (x_n - M)^2}{N}[/tex]
Then for our set:
{70, 80 ,75, 75, 80}
We have 5 elements, then N = 5
The first thing we need to find is the mean.
[tex]M = \frac{70 + 80 + 75 + 75 + 80}{5} = 76[/tex]
Then the variance will be:
[tex]v = \frac{(70 - 76)^2 + (80 - 76)^2 + (75 - 76)^2 + (75 - 76)^2 + (80 - 76)^2}{5} = 14[/tex]
The correct option is C, 14.
What is the nth term rule of the quadratic sequence below?
8,14,22,32 ,44, 58, 74...
Answer:
y=n^2+3n+4
Step-by-step explanation:
Sequence,S: 8,14,22,32 ,44, 58, 74...
First differences of S: 6,8,10,12,14,16,...
Second differences of S: 2,2,2,2,2,2,....
It is indeed a quadratic since the 1st differences that are the same are the second differences.
So the 1st term is 8. If the 0th term was listes it would be 4 since 8-4=4 and 6-4=2.
This means our quadratic it is in the form
y=an^2+bn+c where c=4.
So we have y=an^2+bn+4.
Now we can find a and b using two points from our sequence to form a system of equations to solve.
(1,8) gives us 8=a(1)^2+b(1)+4
Simplifying gives 8=a+b+4
Subtracting 4 on both sides gives: 4=a+b
(2,14) gives us 14=a(2)^2+b(2)+4
Simplifying gives 14=4a+2b+4
Subtracting 4 on both sides gives 10=4a+2b
So we have the following system to solve:
4=a+b
10=4a+2b
I'm going to solve using elimination/linear combination style.
Dividing second equation by 2 gives the system as:
4=a+b
5=2a+b
Subtract the 2nd equation from the first gives:
-1=-1a
This implies a=1 since -1=-1(1) is true.
If a+b=4 and a=1, then b=3. Because 3+1=4.
So the equation is y=1n^2+3n+4 or y=n^2+3n+4.
What did I do wrong in notes, and why is the answer what it shows on screenshot
Answer:
Hope you find it helpful and usef
Please help me with this one.. it's due today!!!
Answer:
75 in^2
Step-by-step explanation:
The surface area is the sum of the areas
Area of the square:
A = s^2 = 5^2 =25
Area of one triangle
A = 1/2 bh = 1/2 (5)(5) = 25/2
There are 4 triangles
4* (26)/2 = 50
The sum is 25+50 = 75
Hi!
[tex]P_{\square}=5^2=25 \ in.^2\\\\P_{\triangle}=\frac{1}{2}\cdot5\cdot5=\frac{1}{2}\cdot25=12,5 \ in.^2\\\\P_c=25+4\cdot12,5=25+50=\boxed{75 \ in.^2}[/tex]
The price of a jacket usually costing £50 is increased to £65.
Work ou the percentage increase.
Answer:
So the answer is 30%
Step-by-step explanation:
1. For 50 = 15 increase euros
2. For 100 = 15/50 x 100 = 30 increase in euros
3. 30/100 = 30%
OR....
1. Ten percent of 50 is 5.
2. 5x3= 15(increase in euros)
3. 10 percent three times which is equal to 30%.
If 260 people donated $10.00 to an organization how much money would said organization have received in total?
Answer:
$ 2,600
Step-by-step explanation:
It's given that 260 People donated $10 is to an organisation . We need to find the total money received by the organisation .
Here we just need to the number of people with the amount each person gave , that is ;
[tex]\implies \rm Total \ amount = \$ 10 \times 260 \\\\\rm\implies Total \ amount = \$ 2,600 [/tex]
Hence the total money received by the organisation is $ 2600 .
Find the measure of the missing angle using the exterior angle sum theorm
Answer:
r = 30°
Step-by-step explanation:
According to the Exterior Angle Sum Theorem, the exterior angle, which is 90°, is equal to the 2 interior angles, which are 60° and r°. We know that the angle next to the exterior angle is 90°, and since all angle sums add up to 180°, r = 30°.
A bottling company marks a 0 for every bottle that comes out correct and a 1 for every defective bottle. Estimate the probability that the next bottle is defective
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]0 \to[/tex] Correct
[tex]1 \to[/tex] Defective
Required
The probability that the next is defective
The question is incomplete because the list of bottles that came out is not given.
However, the formula to use is:
[tex]Pr = Num ber\ o f\ d e f e c t i v e \div T o t a l\ b o t t l e s[/tex]
Take for instance, the following outcomes:
[tex]0\ 1\ 0\ 0\ 0\ 1\ 0\ 0\ 1\ 1\ 0\ 0\ 0\ 1[/tex]
We have:
[tex]Total = 14[/tex]
[tex]D e f e ctive = 9[/tex] --- i.e. the number of 0's
So, the probability is:
[tex]Pr = 9 \div 14[/tex]
[tex]Pr = 0.643[/tex]
Answer:
1/20
Step-by-step explanation:
000000000000100000
It is asking the probability of a defective bottle
there is one defective bottle out of 20
How can you represent 1/2 on a 10-by-10 grid?
Answer:
Represent 1/2 by covering 50 squares.
Step-by-step explanation:
There are 100 squares in a 10-by-10 grid.
1/2 of 100 is 50, so you should cover 50 squares out of 100 squares.
What is the volume of the cylinder to the nearest whole number?
Answer:
[tex]{ \bf{volume = \pi {r}^{2}h }} \\ = 3.14 \times {7.5}^{2} \times 20 \\ { \tt{volume = 3534.3 \: {cm}^{2} }}[/tex]
Which property of math is the young student learning with the following equation? 3 x (4 + 7) = (3 x 4) + (3 x 7)
The property of math they are learning is the distributive property
From the top of a building, 40 feet above the ground, a construction worker locates a rock at a 12° angle of depression. How far is the rock from the building?
Answer:
188 m
Step-by-step explanation:
[tex] \tan(12) = \frac{40}{x} \\ x = \frac{40}{ \tan(12) } \\ x = 188[/tex]
Answer:
I think that the other answer is WRONG
tan(12) = [tex]\frac{x}{40}[/tex]
x = tan(12)*40 = 8.5
Step-by-step explanation:
[tex]\frac{sin\left(78\right)}{40}=\frac{sin\left(12\right)}{x}[/tex] = 8.5
The velocity of a car over five hours is given by v(t) = 60 ln(t + 1), 0 < t < 5
in kilometers per hour. What is the total distance traveled from t = 0 to t = 5?
Round your answer to the nearest whole number and do not include units.
Answer:
345
Step-by-step explanation:
The velocity of a car over five hours is given by:
[tex]\displaystyle v(t)=60\ln(t+1),\, 0 \leq t \leq 5[/tex]
And we want to find the total distance traveled from t = 0 to t = 5.
Recall that distance is the integral of the absolute value of the velocity function. Since we want to find the total distance traveled from t = 0 to t = 5, our limits of integration are t = 0 and t = 5. Hence:
[tex]\displaystyle D=\int_0^5 |\underbrace{60\ln(t+1)}_{v(t)}|\, dt[/tex]
Since v(t) ≥ 0 for all t in the interval [1, 5], we can remove the absolute value. Use a calculator:
[tex]\displaystyle D=60\left(6\ln(6)-5)=345.0334...\approx 345[/tex]
A nunber when divided by 12 gives remainder 7 if the same number is divided by 6 the remainder must be ?
Answer:
1
Step-by-step explanation:
Let the number be n.
We are given:
n/12=q1+(7/12) where q1 is the quotient
n/6=q2+(?/6) where q2 is the quotient and ? is the remainder value we are trying to find.
? must be a integer between 0 and 5, inclusive. A remainder cannot be bigger than or equal to the divisor.
Let's rewrite the first equations
Multiply equation 1 on both sides by 2:
n/6=2q1+7/6
Remainder cannot be 7.
Rewrite again.
6 goes into 7 1 time with remainder 1.
n/6=2q1+(1+1/6)
n/6=(2q1+1)+1/6
So q2=2q1+1 and the remainder is 1 when dividing n by 6.
For fun. What is a number n with such conditions on it?
So what number has remainder 7 when divided by 12 and a remainder 1 when divided by 6.
n=12q1+7
n=6q2+1
If q1=1, we find a number right away that works.
19/12=1+7/12
19/6=3+1/6
A solid wooden block in the shape of a rectangular prism has a length, width and height
Step-by-step explanation:
Volume of the block
[tex] = lbh[/tex]
[tex] = \frac{3}{8} \times \frac{1}{8} \times \frac{5}{8} [/tex]
[tex] = \frac{3 \times 5}{ {8}^{3} } [/tex]
[tex] = \frac{15}{512} [/tex]
Pls answer this pls pls
1) 520
2)60
3)2600
4)3760
Answer:
1. 520
2. 60
3. 2600
4. 3760
Step-by-step explanation:
[tex]{hope it helps}}[/tex]
Please help!!
y= 1/2 x + 2
One equation in a system of two linear equations is
shown above. If the system has one solution (x, y),
where x = 2, which of the following could be the
other equation in the system?
A) y = -2x + 4
B) y = -x+ 5
C) y = 2x
D) y = 2x + 1
Answer: B) y = -x+ 5
Step-by-step explanation:
If the x-value in the solution (x, y) is 2, then the y-value is:
[tex]y=\frac{1}{2} (2)+2 = \frac{2}{2} +2=1+2=3[/tex]
So the solution coordinate is (2, 3).
Test each of the answer choices to see if whether the y-value is 3 when the x-value is 2. If it's true, then it could be the other equation in the system.
A) y = -2x + 4
[tex]y = -2x + 4\\\y = -2(2) + 4 = -4 + 4 = 0[/tex]
B) y = -x+ 5
[tex]y = -x+ 5\\y = -(2) + 5 = 5 - 2 =3[/tex]
C) y = 2x
[tex]y=2x\\y=2(2)=4[/tex]
D) y = 2x + 1
[tex]y = 2x + 1\\y=2(2)+1=4+1=5[/tex]
If 12x = 60, what is the last step to solve for x?
A. multiply 12 to both sides
B. subtract 12 from both sides
C. add 12 to both sides
D. divide 12 from both sides
Answer:
D. divide 12 from both sides
Step-by-step explanation:
12x = 60,
Divide each side by 12
12x/12 = 60/12
x = 5
We have to find,
The last step to solve for x,
→ 12x = 60
Then use option (D),
D. divide 12 from the both sides,
→ 12x = 60
→ 12x/12 = 60/12
→ x = 5
Hence, option (D) is last step.
Please help ASAP...will give brainliest
Answer:
The answer is 90cm
Step-by-step explanation:
Hello,
Lateral area = (3+3+3+3)*6=4*3*612*6=72 (cm²)
Bases area= 2*3²=18 (cm²)
Total area= 72+18=90 (cm²)
The price of a radio is marked as rs 7500 if shopkeeper allows 20 % Discount and adds 13 % VAT . how much customer pay for radio
Answer:
a) A shopkeeper marked the price of an article a certain percentage above the cost price and he allowed 16% discount to make 5% profit. If a customer paid Rs 9.492 with 13% VAT to buy the article, by what percent is the marked price above the cost of the price article? (I hope this helps)
Complete the function for this graph.
Answer:
[tex]y=|x-(-2)|+2[/tex]
Step-by-step explanation:
Hope this is helpful.
The required absolute function is given as y = |x - 2| + 2.
Given that,
From the graph, y = |x - h| + k, values of h and k is to be determined,
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
In the graph and function, h represents the shift on the x-axis, which 2 units left so the value of h is 2, while k is given the shift of the function over the y-axis which 2 units up means that k = 2
Thus, The required absolute function is given as y = |x - 2| + 2.
learn more about function here:
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How many 1/4 cup servings are there in 2 cups of raisins?