Answer:
[tex]a{\cdot}b=0[/tex]
Step-by-step explanation:
It is given that,
Magnitude of a A, [tex]|A|=3[/tex]
magnitude of B, [tex]|B|=9[/tex]
The angle betwern a and b is [tex]\dfrac{\pi}{2}\ rad=90^{\circ}[/tex]
Dot product,
[tex]a{\cdot} b=|a||b|\ \cos\theta\\\\a{\cdot} b=3\times 9\times \ \cos(90)\\\\a{\cdot} b=0[/tex]
So, a.b is equal to 0.
19y+36=150 solve the equation
In a small town, 68% of the people owned television,72 %owned radio and 12 % owned neither television nor radio .represent the answer on a venn diagram.(ii) what percentage of the population owned television?
Answer:
indelox reader is on PPF 5% HP in in Alok
Step-by-step explanation:
when the 58 words we get a Goriya 50% town population
The perimeter of a rectangular garden is 108 meters. The length is 6 meters longer than twice the width, find the dimensions of the garden
Answer:
width=16
length=38
Step-by-step explanation:
perimeter of a rectangle=2(length+width)
108/2=length+ width
54=length+ width
54-width=length
also:
length-6= 2×width
length=2width +6
now you can put the length we found, in the second equation:
54-width=2width+6
54-6=2width+width
48=3width
width=16
now do the exact same thing with one of the equations we created in the beginning.
either this:
54-width=length
or this:
length=2width +6
as the 1st one is simpler, I use that:
54-(16)=length
length=38
9 3/4 divided by 4 1/8 As a simplest form
Answer:
2 4/11
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
26/11
Decimal Form:
2.36
Mixed Number Form:
2 4/11
Answer:
2 4/11
Step-by-step explanation:
what step is used to solve the equation below :m-8=11
Step-by-step explanation:
M-8=11
M=11+8
M=19
hope it helps u
Answer:
Add 8 to both sides of the equation
m=19
Step-by-step explanation:
The equation given is:
m-8=11
We want to solve the equation for m. To do this, we must isolate m on one side of the equation.
8 is being subtracted from m. The inverse of subtraction is addition. Add 8 to both sides of the equation.
m(-8+8)= 11+8
m= 11+8
m= 19
The step used to solve the equation is adding 8 to both sides and the solution is m=19
Elise has an account balance of -115 dollars. Which of the following represents a greater amount of debt than-115
dollars?
O dollars
-115 dollars
-105 dollars
-125 dollar
Answer:
-125 dollars.
Step-by-step explanation:
When dealing with negatives, the smaller the numerical number (remember, with the negative attached), the greater the number.
Meaning, -1 will be greater than -100.
In this case, Elise has an account balance of -$115, or that she owes $115.
Look at each answer choice:
$0: In this case, it means that Elise paid the bank back $115, and that she has a zero balance account. She neither has money nor owes any.
-$115: In this case, it means that she owes $115.This means that there was no change to the balance.
-$105: In this case, it means that she owes $105. Since this is $10 less than the amount she previously owed, it means that she paid $10 into the bank account.
-$125: In this case, it means that she owes $125. Since this is $10 more than the amount she previously owed, it means she overdrew once again, or was charged for failing to pay. This is your answer choice.
~
What are the coordinates of A'?
Answer:
(6,-2)
Step-by-step explanation:
The picture as shown, A would be flipped across the line which leaves it landing on (6,-2)
Hope this helped you :)
There are 15 students in the preschool class. For every 7 kids there is 1 teacher. Which ratio shows the number of teachers to the number of students in the class?
Answer:
1:7
Step-by-step explanation:
1 teacher for every 7 kids
The area of a parallelogram is 18 square units.one side of the parallelogram is 24 units long.The other side is 6 unit long. which could b the parallelograms height select all apply
Answer:
3/4 or 4
Step-by-step explanation:
We know that Area = base * height. If the base is 24, then the height could be 18 / 24 = 3 / 4. If the base is 6, then the height could be 24 / 6 = 4.
The possible heights of the parallelogram are [tex]\frac{3}{4} \ units \ \ \ and \ \ \ 3 \ units[/tex]
The given expression:
area of a parallelogram, A = 18 square unit
a side of the parallelogram, = 24 units
another side of the parallelogram, = 6 units
To find:
the height of the parallelogram, hThe area of a parallelogram is given as;
Area = base (b) x height (h)
[tex]height \ (h) = \frac{Area \ (A)}{base \ (b)}[/tex]
From the given sides, the possible heights of the parallelogram are calculated as follows;
if the base, b = 24 units[tex]the \ height = \frac{18}{24} = \frac{3}{4} \ unit[/tex]
Also, if the base, b = 6 units[tex]the \ height \ (h) = \frac{18}{6} = 3 \ units[/tex]
Therefore, the possible heights of the parallelogram are [tex]\frac{3}{4} \ units \ \ \ and \ \ \ 3 \ units[/tex]
Learn more here: https://brainly.com/question/24054192
Unit price for each size and determine which is the better buy. 15 oz. party size Doritos $3.98 9.75 oz. Doritos $2.98
Answer:
15oz
15oz is 0.27 per oz while 9.75oz bag is 0.31
Jeff can walk comfortably at 3.75 miles per hour. Find a linear function d that represents the total distance Jeff can walk in t hours, assuming he doesn't take any breaks
Answer:
Jeff can walk 3.75 miles per hour, so in 3 hours, he can walk 11.25 miles without any breaks, so, for each hour, you'll add 3.75 miles per hour. So, for the amount of hours, its would be (Answer) t.
Hope this helps! Have a nice day! ;D
Step-by-step explanation:
The linear function d that represents the total distance that Jeff can walk will be d = 3.75t
From the information given, Jeff can walk comfortably at 3.75 miles per hour and he can walk in t hours, therefore, the linear function d that represents the total distance that Jeff can walk will be:
d = 3.75 × t
d = 3.75t
In conclusion, the correct option is d = 3.75t.
Read related link on:
https://brainly.com/question/16895986
Burn is to ointment as grief is to
?
O Sorrow
O Adversity
O Consolation
Pity
O Sympathy
Answer:The answer is Sympathy
Step-by-step explanation:
The correct answer is Consolation
If we look at the flow of the first sentence, ointment is the instrument that is used to soothe a burn.
The implication of this is that we also need to find the word that best describes that which can be used to soothe grief.
When a person is grieving, such a person is in need of consolation hence the correct answer is consolation.
For more about the meaning of the word consolation, see
https://brainly.com/question/13393434
Find the expected value for the random variable. | 9 12 15 18 21 P(z) 0.16 0.25 0.36 0.17 0.06 Z E(z) = (Type an integer or a decimal.) Find the expected value for the random variable. | 9 12 15 18 21 P(z) 0.16 0.25 0.36 0.17 0.06 Z E(z) = (Type an integer or a decimal.)
Answer:
The expected value for the random variable is 14.16.
Step-by-step explanation:
We are given the following data below;
Z P(Z) [tex]Z \times P(Z)[/tex]
9 0.16 1.44
12 0.25 3
15 0.36 5.4
18 0.17 3.06
21 0.06 1.26
Total 1 14.16
Now, the expected value for the random variable Z is given by;
E(Z) = [tex]\sum Z \times P(Z)[/tex]
= [tex](9 \times 0.16) + (12 \times 0.25) +......+(21 \times 0.06)[/tex]
= 14.16.
Ship A and Ship B are 120 km apart when they pick up a distress call from another boat. Ship B estimates that they are 70 km away from the distress call. They also notice that the angle between the line from ship B to ship A and the line from ship A to the distress call is 28°. What are the two possible distances, to the nearest TENTH of a km, from ship A to the boat?
Answer:
The two possible distance are 147.5km and 64.4km
Step-by-step explanation:
Given
See Attachment for Illustration
Required
Determine the possible distance of ship A from the boat
The distress is represented by X;
So, the question requires we calculate distance AX;
This will be done using cosine formula as follows;
[tex]a^2 = b^2 + x^2 - 2bxCosA[/tex]
In this case;
a = 70;
b = ??
x = 120
A = 28 degrees
Substitute these values in the formula above
[tex]70^2 = b^2 + 120^2 - 2 * b * 120 Cos28[/tex]
[tex]4900 = b^2 + 14400 - 2 * b * 120 * 0.8829[/tex]
[tex]4900 = b^2 + 14400 - 211.9b[/tex]
Subtract 4900 from both sides
[tex]b^2 + 14400 - 4900 - 211.9b = 0[/tex]
[tex]b^2 + 9500 - 211.9b = 0[/tex]
[tex]b^2 - 211.9b + 9500 = 0[/tex]
Solve using quadratic formula
[tex]\frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
Substitute 1 for a; -211.9 for b and 9500 for c
[tex]b = \frac{-(211.9)\±\sqrt{(211.9)^2 - 4 * 1 * 9500}}{2 * 1}[/tex]
[tex]b = \frac{211.9\±\sqrt{44901.61 - 38000}}{2}[/tex]
[tex]b = \frac{211.9\±\sqrt{6901.61}}{2}[/tex]
[tex]b = \frac{211.9\±83.08}{2}[/tex]
This can be splitted to
[tex]b = \frac{211.9+83.08}{2}[/tex] or [tex]b = \frac{211.9-83.08}{2}[/tex]
[tex]b = \frac{294.98}{2}[/tex] or [tex]b = \frac{128.82}{2}[/tex]
[tex]b = 147.49[/tex] or [tex]b = 64.41[/tex]
[tex]b = 147.5km\ or\ b = 64.4km[/tex]
Hence, the two possible distance are 147.5km and 64.4km
a. How many ways can the letters of the word ALGORITHM be arranged in a row?
b. How many ways can the letters of the word ALGORITHM be arranged in a row if A and L must remain together (in order) as a unit?
c. How many ways can the letters of the word ALGORITHM be arranged in a row if the letters GOR must remain together (in order) as a unit?
Answer:
a). The number if ways it can be arranged in a row= 362880 ways
b). 40320 ways
c). 5040 ways
Step-by-step explanation:
There are 9 alphabets in the word ALGORITHM
The number if ways it can be arranged in a row= 9!
The number if ways it can be arranged in a row= 9*8*7*6*5*4*3*2*1
The number if ways it can be arranged in a row= 362880 ways
if A and L must remain together (in order) as a unit, then we take it as 8 alphabets
= 8!
= 8*7*6*5*4*3*2*1
= 40320 ways
if the letters GOR must remain together (in order) as a unit, then we have 7 alphabets units remaining
= 7!
= 7*6*5*4*3*2*1
= 5040 ways
a). The number of ways it can be arranged in a row= 362880 ways.
b) The number of ways should be 40320 ways.
c) The number of ways should be 5040 ways.
Calculation of the number of ways:a. Since There are 9 alphabets in the word ALGORITHM
So, The number of ways it can be arranged in a row= 9!
[tex]= 9*8*7*6*5*4*3*2*1[/tex]
= 362880 ways
b. In the case when A and L must remain together (in order) as a unit, then we take it as 8 alphabets
= 8!
[tex]= 8*7*6*5*4*3*2*1[/tex]
= 40320 ways
c. In the case when the letters GOR must remain together (in order) as a unit, so we have 7 alphabets units remaining
= 7!
[tex]= 7*6*5*4*3*2*1[/tex]
= 5040 ways
learn more about ways here: https://brainly.com/question/18057835
15 + u - 22 = 81 plz hellllpppp
Answer:
u =88
Step-by-step explanation:
[tex]15 + u - 22 = 81[/tex]
Collect like terms and simplify
[tex]u=81+22-15\\\\u = 88[/tex]
An object is dropped from the top of a tall building. The height S of the object after t seconds is given by the equation s=-16t^2+676. Find how many seconds pass before the object hits the ground. (Hint: The object is on the ground when S = 0.)
Answer:
6.5 seconds
Step-by-step explanation:
When s=0, we have ...
0 = -16t^2 +676
t^2 = 42.25 . . . . . add 16t^2, divide by 16
t = √42.25 = 6.5
6.5 seconds will pass before the object hits the ground.
PLEASE HELP 100 points
Answer and Step-by-step explanation:
Left: 1 ten + 8 ones = 18
Right: 2 tens + 9 ones = 29
You get this answer by adding all of the cubes together. You could also see that the long blocks count up to ten so you could subtract how much you added by ten to get the ones.
Hope this helped you out! Have a wonderful day!
Simplify 3z + 4z +4 -2 -5z when Z=8
Answer:
18
Step-by-step explanation:
3z + 4z +4 -2 -5z
Combine like terms
3z + 4z -5z +4-2
2z+2
Let z=8
2*8 +2
16+2
18
Answer:
18
Step-by-step explanation:
When z=8
Substitute 8 wherever u see z
3(8)+4(8)+4-2-5(8)
24+32+4-2-40
18
If p = 2 and q = 8, the value of p 3 + ÷ q is _____. 9 5 7 2
Answer:
31.9572
Step-by-step explanation:
substituted the numbers, added them and easily divided them to get the decimal point.
Answer:
The answer should be 9
Step-by-step explanation:
Because it's the answer
The iPhone6s Plus is on sale for 15% off the onginal price. The sale pnce is $901. What was the ongina price? (Hint: The sale pnce is always a part of the whole)
Answer:
$1315.15
Step-by-step explanation:
x=901 * 0.15
Original price * the discount gives you your original price
Use the Distributive Property to complete the equation and find the product. 8 × (300 + 60 + 2) = × 300 + × + × 2 8 × (300 + 60 + 2) = + 480 + 16 8 × (300 + 60 + 2) =
Answer:
2596
Step-by-step explanation:
your question set up is kind of confusing but heres an answer anyway
8(300 + 60 + 2) =
8 • 300 = 2100
8 • 60 = 480
8 • 2 = 16
2100 + 480 + 16 = 2596
help please! I will give brainliest thank you!
Answer:
1. 8
2.0.8
3. 1.4
Question 1
The product of 7 and a number, increased by 3, is equal to the number, subtracted from 39. Find the number.
Answer:
[tex]n = 4.5[/tex]
Step-by-step explanation:
We can turn these words into a real equation. This gets us:
[tex]7n + 3 = 39 - n[/tex]
We want to isolate [tex]n[/tex] on one side of the equation.
Let's add [tex]n[/tex] to both sides:
[tex]7n + n + 3 = -39 - n +n\\\\8n + 3 = -39[/tex]
Subtract 3 from both sides:
[tex]8n+3-3 = 39-3\\\\8n = 36[/tex]
Divide both sides by 8:
[tex]8n \div 8 = 36 \div 8\\\\n=4.5[/tex]
Hope this helped!
Which of the following is the graph of y=3(1/5)^x?
Answer:
See image below
How many solutions does this equation have? 4x+(-3x+2)=2x+5-2
Answer:
One Solution
Step-by-step explanation:
So we have the equation:
[tex]4x+(-3x+2)=2x+5-2[/tex]
On both sides, combine like terms:
[tex](4x-3x)+2=2x+(5-2)[/tex]
Simplify:
[tex]x+2=2x+3[/tex]
Subtract x from both sides. The left cancels:
[tex](x+2)-x=(2x+3)-x\\2=x+3[/tex]
Subtract 3 from both sides. The right cancels:
[tex](2)-3=(x+3)-3\\-1=x[/tex]
Flip:
[tex]x=-1[/tex]
So, our equation only has one solution.
And the answer is -1 :)
1. A bike travels 24 miles in 3 hours. At this rate how many miles will the bike travel in 10 hours? A. 192 B. 80 C. 32 D. 124
Answer: B. 80
Step-by-step explanation: Simply times 24 by 10, then divide it by 3.
Answer:
B. 80 miles
Step-by-step explanation:
A bike travels 24 miles in 3 hours
how many miles does it travel in 10 hours at the same rate/
its a ratio and proportion
24 miles x
------------- = --------------
3 hours 10 hours
cross multiply:
3 x = 24 (10)
3 x = 240
x = 240 miles / hour
3 hours
x = 80 miles
so the answer is B. 80 miles
At a mall food court, the first 18 orders for the day are given below.
• 5 pizza slices
• 6 hamburgers
• 3 hot dogs
• 4 fried chicken
Based on this information, how many fried chicken orders could be expected from 225 customers?
let's focus solely on fried chicken.
So,
18 orders (18 customers) = 4 fried chickens
1 order = ( 4 ÷ 18 )
225 orders (225 customers) = ( 4 ÷ 18 ) × 225
= 50 fried chickens
Solve 8x − 2(x + 1) = 7x + 8. 6 −6 10 −10
Answer:
x = -10
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
8x - 2(x + 1) = 7x + 8
Step 2: Distribute
8x - 2x - 2 = 7x + 8
Step 3: Combine like terms
6x - 2 = 7x + 8
Step 4: Subtract 6x on both sides
-2 = x + 8
Step 5: Subtract 8 on both sides
-10 = x
Step 6: Rewrite
x = -10
Is 47,704,798 divisible by 8?
Answer:
No
Step-by-step explanation:
47,704,798/8= 5,963,099.75