The smallest integer 160 needs to be multiplied by to give a square number is 15.
What is a perfect square?A perfect square is a number system that can be expressed as the
square of a given number from the same system.
The smallest integer 160 needs to be multiplied by to give a square number;
60 x 15= 900
Hence,
The square root of 900= 30
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How long will it take for a $2000 investment to grow to $2786 at an annual rate of 4.6% , compounded quarterly? Assume that no withdrawals are made.
Answer:
7.4
Step-by-step explanation:
use the compound interest formula
I=P(1+r/100)<n
2786=2000(1+4.6/100)^n
divide 2000 by both side
1.393=(1+4.6/100)^n
1.393=1.046^n
introduce the log
log1.393=rlog1.046
divide both with log1.046 to get the value of n
n=7.4
You are looking at the New York ball drop on New Year’s Eve at a distance of 100 m away from the base of the structure. If the ball drops at a constant rate of 2 m/s, what is the rate of change of the
angel between you and the ball when the angle is ( ?
The question is an illustration of related rates.
The rate of change between you and the ball is 0.01 rad per second
I added an attachment to illustrate the given parameters.
The representations on the attachment are:
[tex]\mathbf{x = 100\ m}[/tex]
[tex]\mathbf{\frac{dy}{dt} = 2\ ms^{-1}}[/tex] ---- the rate
[tex]\mathbf{\theta = \frac{\pi}{4}}[/tex]
First, we calculate the vertical distance (y) using tangent ratio
[tex]\mathbf{\tan(\theta) = \frac{y}{x}}[/tex]
Substitute 100 for x
[tex]\mathbf{y = 100\tan(\theta) }[/tex]
[tex]\mathbf{\tan(\theta) = \frac{y}{100}}[/tex]
Differentiate both sides with respect to time (t)
[tex]\mathbf{ \sec^2(\theta) \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot \frac{dy}{dt}}[/tex]
Substitute values for the rates and [tex]\mathbf{\theta }[/tex]
[tex]\mathbf{ \sec^2(\pi/4) \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}[/tex]
This gives
[tex]\mathbf{ (\sqrt 2)^2 \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}[/tex]
[tex]\mathbf{ 2 \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}[/tex]
Divide both sides by 2
[tex]\mathbf{ \frac{d\theta}{dt} = \frac{1}{100} }[/tex]
[tex]\mathbf{ \frac{d\theta}{dt} = 0.01 }[/tex]
Hence, the rate of change between you and the ball is 0.01 rad per second
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2.11 Incomes of college grads. The Census Bureau reports that the mean
and median income of people who worked full-time in 2001 and had at
least a bachelor's degree were $53,054 and $72,674. Which of these
numbers is the mean and which is the median? Explain your reasoning.
2.12 Internet access. How much do users pay for Internet access? Here are
the rhonthly fees (in dollars) paid by a random sample of 50 users of
commercial Internet service providers in August 2000:4
20 40 22 22 21 21 20 10 20 20
20 13 18 50 20 18 15 8 22 25
22 10 20 22 22 21 15 23 30 12
9 20 40 22 29 19 15 20 20 20
20 15 19 21 14 22 21 35 20 22
(a) Make a stemplot of these data. Briefly describe the pattern you see.
About how much do you think America Online and its larger
competitors were charging in August 2000? Are there any outliers?
(b) To report a quick summary of how much people pay for Internet
service, do you prefer ands or the five-number summary? Why?
Calculate your preferred summary
STEM The average temperature on the planet Neptune is –214 °C. The
temperature on the south pole of Neptune is thought to be 10 °C. Is this
colder or warmer than the average temperature? Write an inequality to
support your answer.
Which is colder??
Victoria has a cow. The cow’s tail is 3 inches long. The cow’s tail grows by 5 inches every 6 months. What will the tail’s length be next year?
Answer:
The cow's tail will grow 25 inches more intotal
The cows tail will be 28 inches long.
Step-by-step explanation:
12 months equals to one year (leap year not included) cows tail
grows 5 inches every 6 months. So, 5 x 5 = 25 + the 3 inches from its previous tail will give us total for all. so the answer is 28 in all or 25 for how much it has grown.
That's a long tail ;-;
Help! I need this for a assignment and I don’t understand!
Answer:
Sydney
Step-by-step explanation:
Every other one actually makes sense but if you use her method on any other equation it wouldn't work.
how can my questions be marked brainliest
Answer:
Step-by-step explanation:
If you want to give brainliest, you have to wait for two answers then pick the best answer to get brainliest by clicking the little crown icon on the bottom right.
If you want to get brainliest, try to give a really good answer to a question and if the person asking thinks you gave the best answer,you will receive brainliest.
Answer:
Questions are marked brainliest by whoever asked the question. That person chooses which answer they received is the most helpful/correct, and then awards that answer with the brainliest crown.
Step-by-step explanation:
S'y afin buys 12 cookies .He gives 3.1 of the cookies to his mother. He gives 6.1 of the cookies to his brother. a)How many cookies does he give to his mother? b)How many cookies does he give his younger brother ?
It should be percent
He has 12 cookies.He gives 31% to his mother.He gives 61%to his brother.Mother:-
[tex]\\ \sf\longmapsto 31\%\:of 12[/tex]
[tex]\\ \sf\longmapsto 0.31(12)[/tex]
[tex]\\ \sf\longmapsto 3.72[/tex]
[tex]\\ \sf\longmapsto 4(Approx)[/tex]
Brother:-
[tex]\\ \sf\longmapsto 0.61(12)[/tex]
[tex]\\ \sf\longmapsto 7.32[/tex]
[tex]\\ \sf\longmapsto 7(Approx)[/tex]
please answer quick !!! The intersection of parallel lines b and c and transversal line d form several special angle relationships, as shown in the image below. If ∠1 measures 135°, what is the measure of ∠6? 90° 135° 45° 65°
Answer:
45
Step-by-step explanation:
help help help me plssssssss
Answer:
2,276 ≤ 2,336.6 < 60.6
Step-by-step explanation:
I. When m is combined mass of car and person which is
2,276 + 60.6 = 2,336.6
II. Write into the interval a <= m < b
So we can write as
2,276 ≤ 2,336.6 < 60.6 will return to False.
or
60.6 ≤ 2,336.6 < 2,276 will return to False.
That makes 2,276 ≤ 2,336.6 < 60.6 is the right answer.
Hope that help :)
click on file! please help, thank you!! <3
there are 36 fruits in a basket. 12 are oranges, 18 plums and the rest mangoes what fraction represents mangoes
Answer:
1/6
Step-by-step explanation:
total no. of fruits = 36
no. of mangoes = 36 - 12 - 18 = 6
fraction of mangoes = 6/36 = 1/ 6
Tell whether the ordered pair is a solution of the equation. 1. 2x + y^2 = 10; (3,2) 2. 1/2x - 4y = 4; (10,1/2) 3. x^2 + y^2 = 2; (0,1) Help me
Answer:
it is
Step-by-step explanation:
Can someone help me do this
this diagram models three friends who are sharing two turkey sandwiches equally
Step-by-step explanation:
.......................
Answer:
Where's the diagram?
Step-by-step explanation:
I NEED THIS ASAP,Which equation represents a line with a slope of 0 (zero) that goes through the point (-6, -1)?
A. y = -6
B. y = -1
C. x = -6
D. x = -1
Answer:
c/3 and if multiple c/3 and b/8
Step-by-step explanation:
Determine the type of fee that will be charged in each situation. John's broker provided him with stock-trading software to manage his trading. Reggie's broker charged him a front-end load of 2.75% when he purchased a fund. Lisa sold 50 shares of stock A on a given day. Her broker charged her $12 for this trade. Pete isn't a regular investor. He hasn't bought or sold any stock this year. His broker charged him an inactivity fee of $75 for the year. Joanne's brokerage firm charged her for providing investment information to help her make informed choices.
Answer:
Transaction Fee
- Lisa sold 50 shares of stock A on a given day. Her broker charged her $12 for this trade.
- Reggie’s broker charged him a front-end load of 2.75% when he purchased a fund.
Non-Transaction Fee
- Joanne’s brokerage firm charged her for providing investment information to help her make informed choices.
- Pete isn’t a regular investor. He hasn’t bought or sold any stock this year. His broker charged him an inactivity fee of $75 for the year.
- John’s broker provided him with stock-trading software to manage his trading.
Step-by-step explanation:
Got it right on plato :)
Answer:
Transaction fee:
Lisa sold 50 shares of stock A on a given day. Her broker charged her $12 for this trade.
Reggie’s broker charged him a front-end load of 2.75% when he purchased a fund.
Non-transaction fee
Joanne’s brokerage firm charged her for providing investment information to help her make informed choices.
John’s broker provided him with stock-trading software to manage his trading.
Pete isn’t a regular investor. He hasn’t bought or sold any stock this year. His broker charged him an inactivity fee of $75 for the year.
Victoria logged in to work at 8:15 am and logged out at 4:25 pm.
How many hours did she work? (Her employer rounds to the nearest quarter hour.)
7 1/2 hours
7 3/4 hours
8 hours
8 1/4 hours
In total Victoria worked for [tex]8 \frac{1}{4}[/tex] hours. Therefore, option D is the correct answer.
Given that, Victoria logged in to work at 8:15 am and logged out at 4:25 pm.
What is clock?A clock or a timepiece is a device used to measure and indicate time. The clock is one of the oldest human inventions, meeting the need to measure intervals of time shorter than the natural units such as the day, the lunar month and the year.
Victoria logged in to work at 8:15 am
8:15 am →9:15 am →10:15 am→11:15 am→12:15 pm→1:15 pm→2:15 pm→3:15 pm→4:15 pm
8:15 am →9:15 am = 1 hour
9:15 am →10:15 am = 1 hour
10:15 am→11:15 am = 1 hour
11:15 am→12:15 pm = 1 hour
12:15 pm→1:15 pm = 1 hour
1:15 pm→2:15 pm = 1 hour
2:15 pm→3:15 pm = 1 hour
3:15 pm→4:15 pm = 1 hour
So, in total Victoria logged in for 8 hours 10 mins
Its nearest quarter is [tex]8 \frac{1}{4}[/tex] hours
In total Victoria worked for [tex]8 \frac{1}{4}[/tex] hours. Therefore, option D is the correct answer.
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Evaluate (2-5i)(p+q)(i) when p= 2 and q=5i
Answer:
it's 25qr 78 5×4 and then 12÷5= 2r28
Please help me with this my math isn't the best
Instructions- Solve the system of equations. Type in all points of intersection for the two functions and round to the nearest tenth if necessary.
f(x) = -0.5x+2
8(x) = -5x + 3
f(×)=-0,5x+2
8(×)= -5x+3
8×= -5x+3
8-5x+3
3x+3
x6
The nearest tenth as required, the point of intersection expressed as (0.2, 2.1).
To solve the system of equations, to find the points where the two functions intersect, which means the x-values where f(x) equals g(x). Let's proceed with the solution:
f(x) = -0.5x + 2
g(x) = -5x + 3
Set f(x) equal to g(x):
-0.5x + 2 = -5x + 3
Now, let's solve for x:
Add 0.5x to both sides to eliminate the term with x on the left side:
2 = -4.5x + 3
Subtract 3 from both sides:
-1 = -4.5x
Now, divide by -4.5 to isolate x:
x = -1 / -4.5
x ≈ 0.2222
Now that we have the x-value of the point of intersection, let's find the corresponding y-value by plugging x back into either f(x) or g(x). Let's use f(x):
f(x) = -0.5x + 2
f(0.2222) = -0.5(0.2222) + 2
f(0.2222) ≈ 2.1111
So, the point of intersection is approximately (0.2222, 2.1111).
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you want to download some new songs on your mp3 player.Each song will use about 4.3MB of space.There is 7.8GB of free storage space on your mp3 player.At most how many songs can you download?
Answer:
1857
Step-by-step explanation:
7.8= 7987.2mb
4.3=0gb
Solve for x .... please help ASAP
Given triangle GHJ, the measure of angle G equals
H
measure of angle H equals 30°. Complete the following
statements.
Since angle G is _____
angle, the opposite
side, JH, is________
The order of the side lengths from longest to shortest is______
110°, the measure of angle J equals 40°, and the
G
can you help me with number nine it says find the slope of the line that passes through each pair of points
How to find slope?
Slope is represented as mIf two point are
(x_1,y1)(x2,y2)Slope is given by
[tex]\\ \sf\longmapsto Slope=m=\tan\Theta=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
there are 25 students in class 2-11 and 20% wear glasses. How many wear glasses?
Answer:
Five students wear glasses.
Step-by-step explanation:
20 percent of 25 is 5
We are given that 25 students in the class and 20% wear glasses.
Take 20% of 25 to calculate how many students wear glasses.
[tex]25 \times 20 \%=25 \times 0.20[/tex]
[tex]= 5[/tex]
5 students in class 2-11 wear glasses. Let me know if you have any questions, thanks!
4/5 of the money collected from a fundraiser was divided equally among 8 grades
What fraction did each grade receive?
Answer:
1/10
Step-by-step explanation:
your equation is 4/5 divided by 8/1.
Lets solve that problem with the acronym KCF, or
Keep
Change
Flip.
K: "keep" the first fraction, or the one you are multiplying with, so 4/5 stays the same.
C: "change" the division sign to a multiplication sign, so 4/5x8/1
F: "flip" the second fraction, so 8/1 becomes 1/8.
now our equation is 4/5x1/8. If we solve that, we get 4/40, which reduced is 1/10.
The coordinates of the vertices of triangle 1 are A(6,6), B(12.9), C(9,6).
The coordinates of the vertices of triangle 2 are A (2,2), B’ (4.3). C° (3,2).
What transformation was performed on triangle 1 to create triangle 2?
Translation
Reflection across the x-axis
Reflection across the y-axis
Dilation
Answer:
Step-by-step explanation:
WILL BRAINLIST !!!!!!!!
Step-by-step explanation:
1) 432000000
2) 1050000
3) 82310000000
4) 0.000231
5) 0.00007.
hope this helps you.
please someone help. Giving brainliest!!
Answer:
I am pretty sure the answer is 3. hope this helps
Answer:
e=3
Step-by-step explanation:
[tex]7(2e-1)-11=6+6e\\14e-7-11=6e+6\\14e-18=6e+6\\8e-18=6\\8e=24\\e=3[/tex]
That is just one way to get to the answer, but basically just use pemdas, multiplying the parentheses and combining like terms. ;)