Answer:
C. [tex]30\sqrt{2}[/tex]
I hope this helps!
The simplified form of expression 3 times the square root of 200 is 30√2 ( thirty times square root 2 ) .
To simplify the expression 3 times the square root of 200, we can break it down into smaller components .
First, let's simplify the square root of 200 :
√ 200 = √ ( 100 × 2 ) = √ 100 × √ 2 = 10√2
Now, we substitute this simplified value back into the original expression :
3 × √ 200 = 3 × ( 10√ 2 ) = 30√ 2
Therefore, the simplified form of 3 times the square root of 200 is 30√2 .
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ACTIVITY 1
Directions: Find the unknown principal P, rate r, time t, and simple
interest Is by completing the table. Use separate sheet/s of paper for your
answer.
Principal (P)
Rate (T)
Time (t)
8%
15
2%
5
Simple Interest
(Is)
(1)
10,000
3,600
175,500
10,000
(2)
360,000
500,000
2
(3)
10.5%
Activity 2
Directions: Find the unknown principal P, maturity value, and
compound interest Ic by completing the table. Use separate sheet/s of paper
for your answer.
Maturity Value
Principal (P) Rate(r) Time(t)
Compound
Interest (Ic)
(1)
10,000
(3)
8%
2%
15
5
(2)
50,000
Answer:
500,000
2
(3)
10.5%
Activity 2
Directions: Find the unknown principal P, maturity
Leslie’s employer will match up to 3% of her salary in contributions to her 401(k). Her monthly salary is $3,200, and the company allows her to make contributions to a maximum of 10% of her salary. What is the maximum monthly deposit to Leslie’s 401(k), including her employer’s matching contribution?
Answer:
$416.00
Step-by-step explanation:
Leslie's 10% and her employer's 3% total 13% of her salary:
0.13 · $3200 = $416
The maximum monthly deposit to Leslie’s 401(k) account, including her employer’s matching contribution, is $416.
What is a matching contribution?A matching contribution is a type of contribution that Leslie's employer decides to contribute to Leslie's 401(k) plan, which is an employer-sponsored retirement plan.
Data and Calculations:Monthly salary = $3,200
Leslie's maximum contribution = 10% of salary
Employer's matching contribution = 3% of salary
Total contributions to the 401(k) plan = 13% of salary
= $416 ($3,200 x 13%)
Thus, the maximum monthly deposit to Leslie’s 401(k) account, including her employer’s matching contribution, is $416.
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Convert 6 months to years
Answer: 0.500001
Step-by-step explanation: Hope that helps!
liters = 5,000 milliliters
Answer:
5 liters
Step-by-step explanation:
1,000 milliliters= 1 liter.
5,000/1,000 is 5 liters
Answer:
5 liters
Step-by-step explanation:
but not sure about answer
A ccompany offers free shipping on orders that weigh less than 3,000 grams. How much is this in kilograms. Be sure to include the correct unit in your answer.
Answer:
The answer is 5 Kilos.
Step-by-step explanation:
There are 1000 grams in 1 Kilo, thus 1000g= 1k, so 5000g=5k.
Answer:
its 3kg
Step-by-step explanation:
Graph the function
Need help ASAP plz
Given:
The equation of a function is
[tex]y=(x-4)^2+1[/tex]
To find:
The graph of the given function.
Solution:
The vertex form of a parabola is
[tex]y=(x-h)^2+k[/tex] ...(i)
Where, (h,k) is vertex of the parabola.
We have,
[tex]y=(x-4)^2+1[/tex] ...(ii)
From (i) and (ii), we get
[tex]h=4, k=1[/tex]
The vertex of the parabola is (4,1).
Now, the table of values is
x y
2 5
3 2
4 1
5 2
6 5
Plot these points on a coordinate plane and connect them by a free hand curve.
The graph of given function is shown below.
The first floor of a tiny house has the length of 11 feet. The width of the kitchen feet is 7 feet and the width of the bottom bathroom feet is 4 feet the expression 11(7+4) represents the total area in the square feet.
why an expression to represent a total area as a some of the areas of each room
Answer:
11 and 4
Step-by-step explanation:
Circle O has a center at (-2, -2) and a diameter of 10 units. Which point lies on circle O ?
Answer:
Step-by-step explanation:
Many points lie circle O
The points with a distance of 10 units will be on the circle
eg. (8,-2) or (4,6) both lie on the circle as they have a distance of 10 units from the center.
A line that includes the points (-9,-5) and (-10, j) has a slope of -10. What is the value of J
Answer:
j = -15
Step-by-step explanation:
Given that,
A line that includes the points (-9,-5) and (-10, j) has a slope of -10.
The slope of a line for which two points are given is :
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\-10=\dfrac{j-(-5)}{-10-(-9)}\\\\10=\dfrac{j+5}{-10+9}\\\\10=\dfrac{j+5}{-1}\\\\-10=j+5\\\\j=-10-5\\\\j=-15[/tex]
So, the value of j is equal to -15.
Let N* be the total number of ranchers in Uruguay, and N(t) be the number of ranchers who have adopted an improved pasture technology there. Assume that the rate of adoption, , is proportional to both the number who have adopted the technology and the fraction of the ranchers who have not (and so are susceptible to conversion). Let a be the proportionality constant.
a. Write down the differential equation modeling N(t).
b. According to Banks (1993), N* = 17000, N(0) = 170, a = 0.5 per year.
Determine how long it takes for the improved pasture technology to spread to 80% of the population of the ranchers.
Answer:
A) dN / dt = aN( N* - N ) /N*
B) 12 years
Step-by-step explanation:
attached below is a detailed description of the solution
A) Write down the differential equation modelling N(t)
The differential equation of the modelling = dN / dt = aN( N* - N ) /N*
B) Determine how long it takes for improved pasture technology to spread to 80% of the population of the ranchers
firstly we will resolve the ODE and apply partial fractions, integrate and exponentiate before inputting the given data. attached below is a detailed solution
Find the product of (1)(3)(x).
Your
answer
Answer:
2/5.
Step-by-step explanation:Start with fractions for which you need to find the product. In this example, we will multiply the fractions 4/6 and 3/5.
Simplify the fractions to the lowest terms. A fraction needs to be simplified if the same number can divide both the numerator and denominator of a fraction. So 4/6 would become 2/3 and you would multiply by 3/5.
Multiply the numerators. Multiply the top number in one fraction by the top number in the other fraction. In this case 2 x 3 = 6.
Multiply the denominators. Multiply the bottom number of one fraction by the bottom number in the other fraction. In this case 3 x 5 = 15
Simplify the product again if necessary. Your product of 6/15 can be converted into 2/5 by dividing both the numerator and denominator by 3. So the product of 4/6 and 3/5
m^2+5=14
[tex] {x}^{2} [/tex]
x2+5=14
Answer:
okeed
Step-by-step explanation:
Plz helpppp I will give the brainliest help me plz
Answer:
36
Step-by-step explanation:
Let the original quantity of marbles of the bag be y.
[tex]\frac{2}{3} (\frac{1}{2} )y=12[/tex]
y=36
hich expression is equivalent to -4(7 - 2m) + 11m?
Answer:
[tex] - 4(7 - 2m) + 11m \\ = - 28 + 8m + 11m \\ = \boxed{19m - 28}[/tex]
Expression (19m-28) is equivalent to -4(7 - 2m) + 11m.
A 2-pound package of hamburger costs $7.00, and you pay $10.50 for a 3-pound package of hamburger. Use a double number line to complete the table.
Weight (lb)
2
3
4
5
Cost ($)
7.00
10.50
14.00
17.50
What is the unit rate in this relationship?
Step-by-step explanation:
fresco didn't Divo ratify jdndodnswjskd ksosbwjw
dentify as an increase or decrease. Then find the percent of increase or decrease. If necessary, round to the nearest percent.
Original: 150
New: 130
Answer:
Step-by-step explanation:
The difference is 130-150 = -20, a decrease.
-20/150 ≅ -0.133, a decrease of 13.3%
The sum of three consecutive even integers is 486. find all three integers
160 and 162 and 164
Step-by-step explanation:
To find the three even integers, use the equation
x + (x + 2) + (x + 4) = 486
Then solve:
Add the common terms (the xs and numbers)
3x + 6 = 486
Subtract the 6 from both sides
3x = 480
Then divide
x = 160
So 160 + (160 + 2) + (160 + 4) = 486
160 + 162 + 164 = 486
So your three consecutive even integers are
What is the 10th term in -9,-6,-1,6,15
Answer:
90
Step-by-step explanation:
This is an increasing sequence, with -9 as its first term. The first increase is +3, then +5, +7, and +9. The differences increase by 2 each time. The sixth term will be 15 + 11, and the seventh would be 15 + 11 + 13. We can follow this pattern to get to the tenth term. 15 + 11 + 13 + 15 + 17 + 19 = 90
3 to 4 is equivalent to the ratio of x to 36. What will x be?
Answer:
x = 27
Step-by-step explanation:
121/2% in to a fraction
9514 1404 393
Answer:
1/8
Step-by-step explanation:
You can replace % with /100 to make it a fraction.
12 1/2% = (12 1/2)/100 = (25/2)/100 = 25/200 = 1/8
__
Or, you can reduce the decimal fraction.
12.5% = 12.5/100 = 0.125 = 125/1000 = 1/8
if a box of oranges weigh 4 kilograms one orange weighs 80g how many oranges?
Coupd someone help me with this? (picture)
Answer:
2x3 = 6
6x14 = ...
Step-by-step explanation:
All the solutions with a + in them are not applicable to this multiplication
20−5(4/2)^2=? /= fraction
Answer:
0
Step-by-step explanation:
=20−5(2^2)
=20−(5)(4)
=20−20
=0
what does 4f-2f + 3-f= equal
Answer:
f + 3
Step-by-step explanation:
Combine like-terms
4f - 2f - f +3
f + 3
Answer:
4f-2f+3-f
2f-f+3
f+3
f= -3
Step-by-step explanation:
Paul is a newspaper boy who received a total piecework
paycheck of $265.72. He receives 73 cents for every
newspaper he delivers. How many newspapers did he
deliver?
Answer:
364
Step-by-step explanation:
265.72 ÷ 0.73 is 364
Check:
364 x 0.73
265.72
Could someone answer and explain. Will mark the brainliest
Answer: I think you’re right??
Step-by-step explanation:
Solve the problem using long division
Answer and Step-by-step explanation:
[tex](m^{2} - 3m - 7) (\frac{1}{m+2})[/tex]
1m -5
____________
[tex]m+2 |m^{2} - 3m - 7[/tex]
- m^2 + 2m
___________________
-5m - 7
- -5m - 10
___________________
3
(The negatives cancel out).
[tex]m - 5 + \frac{3}{m+2}[/tex] <- This is the answer.
#teamtrees #WAP (Water And Plant)
What is the solution to (4/2)4 + (1 + 3)?
Can anyone help me pls
Who can help me pronto i will give a brainliest
Answer:I think it would be C
Step-by-step explanation:
Answer:
1) B
-2x+y=4
+2x+3y=20.
4y=24
2) 4y=24. divide both sides by 4
y= 6
3) (Pick any equation you like, change y to 6)
-2x+6=4 subtract 6 to both sides
-2x=-2 divide by -2
x=1
or
2x+3(6)=20. --> 2x+18=20 subtract 18 to both sides
2x=2. divide by 2
x=1
4) (x,y) change the x and y to their values. (1,6)
Step-by-step explanation:
explained on top