Answer:
y = 64√3
Step-by-step explanation:
Step(i):-
Given that the 'y' varies directly as √x
⇒ y∝ √x
⇒ y = k√x
Put y=3 and x=3
3 = k ×√3
√3 k = √3×√3
After cancellation '√3' on both sides, we get
k = √3
Step(ii):-
Given that x=64 and k = √3
We have a function y = k√x ..(i)
substitute x =64 and k = √3 in equation (i)
y = √3 × 64
y = 64√3
If $10000 is invested at an interest rate of 10% per year, compounded monthly, find the value of the investment after
Answer:
$10510
Step-by-step explanation:
The question is not complete, here is the correct question
If $10000 is invested at an interest rate of 10% per year, compounded monthly, find the value of the investment after 5 years
Given data
Principal= $10000
interest= 10%
time= 5 years
Required
The final amount
The compound interest formula is
A= P(1+r)^t
substitute
A= 10000(1+0.1)^5
A= 10000(1.01)^5
A= 10000*1.051
A= $10510
Hence the investment will be $10510
please helppp will mark brainlyist with right answer
QUICK!!
A square on a coordinate plane is translated 9 units down and 1 unit to the right. Which function rule describes the
translation?
O Tz g(x, y)
O 1-1-9(x, y)
O T-9. 1(x, y)
O T-9.-1(x, y)
Ari has a map with a scale of 1 inch: 18 miles. To get between two cities on the map, she measures 4.5 inches. How far would that be in real life
Answer:
81
Step-by-step explanation:
multiple 18 by 4 and you get 72 since you know you half of 18 is 9 you at 9 miles and the 9 comes from the left over .5
-5 + (-5) =
What’s the answer ? Plsss helpp
Answer:
-10 is the right answer ........
Answer:
-10
Step-by-step explanation:
It is just saying negative five plus negative five which is negative ten!
The parenthesis is just for it to long more organized and for you to not think it is a subtraction sign.
Can someone teach me how to do this? Please and thank you
Answer:
For the first one, put the input(0) in the place of x. This would make it look like this, 3x0+5
The x is a times sign, which was added when you add the number.
The rest goes like this,
3x0=0
0+5=5
Ouput= 5
1. (i) Is 35 a factor of 455?
(iii) Are 5 and 3 factors of 1647?
(v) Are 2, 3, 5, 7 and 11 factors of 4620?
Answer:
(i) Yes. If you divide it, it gives 13.
(iii) 3 is a factor of 1647 but 5 isn't. If you divide it with 3 first, it gives 549. But if you divide it with 5, it gives 329.4
(v) 2, 3, 5, 7 and 11 are factors of 4620. If you divide it with 2, it gives 2310. If you divide it with 3, it gives 1540. If you divide it with 5, it gives 924. If you divide it with 7, it gives 660. If you divide it with 11, it gives 420.
Step-by-step explanation:
Extra explanation on what a factor is, I don't know how to explain it but here are some examples:
Example:
Find factors of 12
1 x 12 = 12
2 x 6 = 12
3 x 4 = 12
So. 1, 2, 3, 4, 6 and 12 are factors of 12 basically.
Please solve this with explanation, don’t just give the answer please explain too.
Answer: 30x⁴
Step-by-step explanation:
2x⁴ + (-3x²)² + 10(x²)² + (-3x²)²
2x⁴ + (9x⁴) + 10 (x⁴) + (9x⁴)
2x⁴ + 9x⁴ + 10x⁴ + 9x⁴
2x⁴ + 10x⁴ 9x⁴ + 9x⁴
12x⁴ + 18x⁴
30x⁴
(-x)² = x²
(xᵃ)ᵇ = xᵃᵇ
Hope I helped!
If Tom walking rate is 2.5meters per sec how far can tom walk in 30 sec
help
Answer:
75.
Step-by-step explanation:
That would be 2.5 x 30.
2.5 x 30 = 75, so that's your answer. 75.
Cindy won the lottery, and she gave her family $1,000.00 less than of her winnings. If
the jackpot was worth $35,000.00, how much did Cindy share with her family?
Answer:
$35,000.00 - $1,000.00 = 34,000.00
the radius of a circle is 10 miles. what is the circumference
Marina has a bag of lemon watermelon and strawberry candies she is going to choose one candy from the bag the probability of choosing strawberry candy is 1/5 there are 16 lemon candies and eight watermelon candies in the bag how many strawberry candies are in the bag
Answer:
There are 6 strawberry candies in the bag
Step-by-step explanation:
The probability of an event occurring = (The number of required outcome) ÷ (The number of possible outcome)
The given parameters in the question are;
The number of different types of fruit in Marina's bag = 3
The type of fruits in the bag = Lemon, watermelon, strawberry
The probability of choosing strawberry, P = 1/5
The number of lemon candies in the bag = 16
The number of watermelon candies in the bag = 8
Let, 'x', represent the number of strawberry candies in the bag
Therefore, by the definition of probability, we have;
P = 1/5 = x/(x + 16 + 8)
x + 16 + 8 = 5·x
16 + 8 = 5·x - x = 4·x
24 = 4·x
∴ x = 24/4 = 6
The number of strawberry candies in the bag, x = 6 strawberry candies.
Juan has 5 counters. Carlos has 60 counters.
Carlos has how many times as many counters as Juan? Enter the answer in the box.
Answer: 12
Step-by-step explanation: 60/5=12
Answer:
12 counters
Step-by-step explanation:
Since Juan has 5 counters and 5×12=60. CarLos has 60 of them.
Calculate the distance between the following points (photo shown) *would really appreciate some help
Step-by-step explanation:
hindi mai questions do please
Can someone please help me I really need help
Answer:
5 1/6 feetStep-by-step explanation:
Yesterday snowed: 5 2/3 feet
Today snowed: 1/2 of a foot
The difference is:
5 2/3 - 1/2 = 5 + 4/6 - 3/6 = 5 + 1/6 = 5 1/6 feetHelp please??????????????
Answer:
i think B
Step-by-step explanation:
sorry if it is wrong
Answer:
option c 3^3=9 and 4^3=64 in 9table it will cancle
Which of the following is the product of (3x − 5) and (3x + 5)?
A. 9x2 − 25
B. 9x2 − 30x − 25
C. 9x − 10
D. 9x2 + 25
Answer:
Step-by-step explanation:
These binomials make up the difference of squares.
3x * 3x = 9x^2
3x * 5 = 15x
-5 * 3x = - 15x
-5 * 5 = - 25
Notice the 2nd and 3rd terms. They are equal except that one is plus and the other minus. That means they cancel. You are left with
9x^2 - 25
In a bag of marbles. 4 are white, 5 are
blue, and 11 are red. What is the
probability of NOT drawing a blue
marbler
Answer
Answer:
15/20 simplified is 3/4
Step-by-step explanation:
So a 3/4 chance or a 75% chance of not drawing a blue marble.
Jackie noticed that she had to pay a sales tax for the dress she bought at the store. What is sales tax?
1. A percentage of total sales to be distributed to shoppers at a later time.
2. A percentage of total sales given back to the store.
3. The amount someone pays to buy a specialty item.
4. A percentage of total sales that is collected on behalf of the state, county, or local government.
Answer:
Step-by-step explanation:
Sales tax is assessed on total sales on behalf of the government.
Answer:
A percentage of total sales that is collected on behalf of the state, county, or local government
Step-by-step explanation:
Where else would the taxes go?
Here is a number sequence.
31 26 21 16
11...
What is the first negative term in the sequence?
(1 mark)
Answer:
6
Step-by-step explanation:
31-5=26
26-5=21
21-5=16
16-5=11
11-5=6
Answer:
[tex]\boxed{\textsf{ The first negative term of the sequence is \textbf{-4} .}}[/tex]
Step-by-step explanation:
A sequence is given to us . And we need to find the first negative term of the sequence. So the given sequence to us is :-
[tex]\sf\implies Sequence = 31 , 26 , 21 , 16 ..... [/tex]
Here first term of the sequence is 31. And the common difference is 26 - 31 = -5 . Hence here (-5) is added to each number to obtain the second number of the sequence .
Here the last term mentioned is 16. And we are subsequently adding (-5) to each term to obtain the next term . Next third term will be obtained after adding 5×(-3) = -15 .
And that term will be , 16 - 15 = 1 .
Hence the last positive term is 1 . The next term term after adding (-5) will be the first negative term.
[tex]\sf \implies 1st \ negative \ term = 1 -5 =\pink{-4} . [/tex]
You have at most $75 to spend on books and music. You want to spend less than $20 on music and no more than $60 on books. Which system represents the situation?
Answer:
$20>$75>$60
Step-by-step explanation:
hope it helps
The system of inequalities that represent the situation are -
x < 20
y ≤ 60
x + y ≤ 75
We have $75 to spend on books and music and we want to spend less than $20 on music and no more than $60 on books.
We have to determine which system represents the situation.
You have $50 to spend on chocolates and toffees. You want to spend more than $20 on toffees and less than $15 on chocolates. How will you find the possible solutions under such constraints ?Assume the cost spend on toffees is $x and that on chocolates is $y. Then-
x > 20
y < 15
x + y ≤ 50
Solve them graphically and you will find the possible solution set.
According to the question, we have -
Amount available to spend = $75
For music → amount < $20
For books → amount ≤ 60
Assume the cost spend on music is $x and that on books is $y.
Then -
x < 20
y ≤ 60
x + y ≤ 75
Check the graph attached for solution region. The points inside the triangle formed (marked by red thick boundary) represents the points which satisfy the above conditions.
To solve more questions on solving system of inequalities, visit the link below-
https://brainly.com/question/22816712
#SPJ2
One stick is 9cm longer than the other 2/5 of the longer stick is equal to 1/2 of the shorter stick. Find the length of the longer stick
Answer:
Length of the longer stick = 45 cm
Step-by-step explanation:
Let the length of shorter stick be x cm
Therefore, length of longer stick = (x + 9) cm
According to the given information:
[tex] \frac{2}{5} (x + 9) = \frac{1}{2} x \\ \\ 2 \times \frac{2}{5} (x + 9) = x \\ \\ 4(x + 9) = 5x \\ \\ 4x + 36 = 5x \\ \\ 36 = 5x - 4x \\ \\ 36 = x \\ \\ x + 9 = 36 + 9 = 45 \\ [/tex]
Length of the longer stick = 45 cm
I NEED HELP ASAP!!!!!!
Answer: do you still need help?
Step-by-step explanation:
help pls! i will mark the brainlyest if you answer this!!!!
Answer: 3x+7 is the answer
I’m giving brainlest and 7 points please help me what’s wrong with this picture
Answer:
they want you to find the error in the problem
Step-by-step explanation:
they want you to go through and find what they did wrong. You just have to correct the error they did, that is the question.
Two of the angles in a triangle measure 21° and 40°. What is the measure of the third angle
Answer: 119°
Step-by-step explanation:
The total of the interior angles of a triangle is 180° so if you add the two angles you have, you get 61 and just subtract that from 180 to get the missing angle.
Zaria earns $6 per hour at her job. She also earned a bonus of $30 this week. To find the total
amount she earned this week, Zaria used the expression below, where h is the number of hours
she worked this week.
6h + 30
Zaria worked 32 hours this week. What is the total amount of money Zaria earned this
week?
$192
$222
$68
$662
Answer:
$222
Step-by-step explanation:
6(32) + 30
192 + 30 = 222
Hence option B ,$222 is correct .
What is a function?
When we arrange numbers given to us in the pattern they follow and provide them with variables are called function.
How to solve?
zaria works $6 pr hour hence function becomes 6h she also receives $30 additional as bonus.
hence the function 6h+30
where h=32
hence 6*32+30=$222
Learn more about functions https://brainly.com/question/25638609
#SPJ2
Is the ratio 15 : 12 equivalent to 5 : 3 and 10 : 6? Explain.
Answer:
Yes it is
Step-by-step explanation:
When we simplify 15:12, we receive 5:3
Therefore, 5:3 is equvilaent to 15:12
Using this unit ratio, we can solve for other rations
For example, 5:3, the unit ratio, times 2 is 10:6
5 * 2 = 10
3*2 = 6
10, 6 = 10:6
What value of x makes the equation true?
a -3
b -1
c 3
d 1
Answer:
-3
Step-by-step explanation:
cause positive = negative
the answer is = negative
For every 3 minutes that Ryan runs on the treadmill, he burns 28
calories. How many calories can he expect to burn if he runs for 24
minutes?
Answer:
He will burn 224 calories.
Step-by-step explanation:
Multiply 8 by 28 to get your answers because he runs 8 times more in 24 minutes.
:))