Answer:
4 cm
Step-by-step explanation:
You want the length of the smaller of two similar pieces of cardboard when the larger has an area of 150 cm² and a length of 10 cm, while the smaller has an area of 24 cm².
Scale factorThe scale factor for lengths is the square root of the scale factor for areas. It will be ...
√(24/150) = 0.4 . . . . . . = smaller / larger
The smaller cardboard has a length of ...
0.4 × 10 cm = 4 cm
__
Additional comment
Sometimes folks like to write this as a proportion:
[tex]\dfrac{\text{smaller length}}{\text{larger length}}=\sqrt{\dfrac{\text{smaller area}}{\text{larger area}}}[/tex]
Solving this for "smaller length" gives the expressions we used above:
smaller length = (larger length) × √(smaller area/larger area)
I'M BEING TIMED HELP
The acceleration due to gravity is the constant of variation. What is the acceleration due to gravity of a falling object?
Answer:
acceleration = 9.8 m/s^2
Step-by-step explanation:
The problem expects the user to do the rate of change between any two pairs of (time, velocity) from the table, and see that they all render the same value. Notice as well that the rate of change of a difference in velocities divided a difference in time, will render units of acceleration (in this case [tex]\frac{m}{s^2}[/tex]
Let's use for example (0 s ,0 m/s) and the following point: (1 s, 9.8 m/s)
the rate of change is: [tex]acceleration= \frac{9.8-0}{1-0} \frac{m}{s^2} =9.8 \, \frac{m}{s^2}[/tex]
In fact you can use any two pairs of the table, and will get the same result.
So this is the acceleration is [tex]9.8 \, \frac{m}{s^2}[/tex]
The acceleration due to gravity is 9.8 m/s^2.
What is the domain of the function y = l n (StartFraction negative x + 3 Over 2 EndFraction)
x less-than 2
x greater-than 2
x less-than 3
x greater-than 3
Answer:
Option (3). x < 3
Step-by-step explanation:
Given function is a logarithmic function,
[tex]y=\text{ln}[\frac{(-x+3)}{2}][/tex]
We know that logarithm is defined for all positive real numbers except zero.
[tex]\frac{(-x+3)}{2}>0[/tex]
(-x + 3) > 0
-x > -3
x < 3
That means the given logarithmic function is defined for all real values lees than 3.
And the domain of the function will be x < 3
Option (3) will be the answer.
Answer:
x < 3 Option C on E2020.
Step-by-step explanation:
find the value of trig function indicated, use Pythagorean theorem to find the third side if you need it. Part 4
Answer:
[tex]\fbox{\begin{minipage}{5em}13. 0.830\\14. 0.800\\15. 0.391\\16. 0.750\end{minipage}}[/tex]
Step-by-step explanation:
A right triangle with 3 sides: adjacent side, opposite side and hypotenuse (as shown in attached picture)
According to the trigonometric properties:
[tex]sin(theta) = \frac{opposite}{hypotenuse}[/tex]
[tex]cos(theta) = \frac{adjacent}{hypotenuse}[/tex]
[tex]tan(theta) = \frac{opposite}{adjacent}[/tex]
[tex](adjacent)^{2} + (opposite)^{2} = (hypotenuse)^{2}[/tex]
[tex](adjacent)^{2} = (hypotenuse)^{2} - (opposite)^{2}[/tex]
[tex](opposite)^{2} = (hypotenuse)^{2} - (adjacent)^{2}[/tex]
Use the above formulas with corresponding sides:
[tex]13) cos(theta) = \frac{9}{3\sqrt{13} } = 0.83[/tex]
[tex]14) sin(theta) = \frac{\sqrt{5^{2}-3^{2} } }{5} = \frac{4}{5} = 0.8[/tex]
[tex]15) sin(theta) = \frac{9}{\sqrt{(8\sqrt{7}) ^{2} + 9^{2} } } = 0.391[/tex]
[tex]16) tan(theta) = \frac{3}{4} = 0.75[/tex]
Hope this helps!
:)
Tessa is taking her family out to dinner and the bill is $250. She has a coupon for 15% off. After the discount is applied, she is going to add a 20% tip for their server. What is the total after the discount and the tip?
Answer:
$255
Step-by-step explanation:
250*.85=212.5
212.5*1.2=255
2.
85, 78, 82, 76, 89, 77, 78, 42, 83, 84, 87, 85, 78
What effect does the outlier have on the mode of this data?
1. The mode increases.
2. The mode decreases.
3. The mode cannot be calculated.
4. The mode remains the same.
Answer:
the mode remains the same
Step-by-step explanation:
42 is outlier.
mod is the most repetitive number of a number string, and outlier does not change it.
the mode remains the same.
The following data shows prices of meal options at Bob's Burgers. Bob
wants to construct a histogram from this graph. Prices of Meal Options at
Bob's Burgers: $6, $7, $7, $8,$9,$10, $10, $11, $11, $12,$12, $13, $13, $13,
$13,$14, $14, $14, $15, $15, $15, $15, $16, $16, $17. How many meals could
belong in the interval $10.99 - $13.99? *
Answer:
Step-by-step explanation:
The number of meals that could
belong in the interval $10.99 - $13.99 is represents the frequency of that interval. The interval is also called the class width. Since there are no decimals, the meals must be greater than or equal to $11 and lesser than $14. Looking at the data, the meals that fall within the interval are
$11, $11, $12,$12, $13, $13, $13,$13
The frequency is 8
Therefore, 8 meals could
belong in the interval $10.99 - $13.99
Can someone plz help me solved this problem plz! I need help ASAP! Plz help me solved this problem
Answer:
1) 3.5
2) 0.875
5)7y -14
Step-by-step explanation:
1)7y= 0+2
Y= 2/7=
3.5
2)7y= 6+2=8
Y= 8/7=0.875
5) I just multiplied outside value which is7 with the value inside the bracket
I just solve the one I know.
what is 222 times 5
no explanation please
Answer:
1110
Step-by-step explanation:
Hey there!
222 multiplied by 5 is 1110.
You can also use a calculator to find that out haha!
Have a wonderful day!
A pet store has three fish tanks, each holding a different volume of water and a different number of fish. Tank AAA holds 40\text{ L}40 L40, start text, space, L, end text and 555 fish. Tank BBB holds 100\text{ L}100 L100, start text, space, L, end text and 121212 fish. Tank CCC holds 180\text{ L}180 L180, start text, space, L, end text and 232323 fish. Order the tanks by volume per fish from least to greatest.
Answer:
C, A and B
Step-by-step explanation:
Tank A holds 40 Liters and 5 fish.
Volume per fish of Tank A [tex]=40 \div 5 =$ 8 fish per liter[/tex]Tank B holds 100 Liters and 12 fish.
Volume per fish of Tank B [tex]=100 \div 12 =$ 8.33 fish per liter[/tex]Tank C holds 180 Liters and 23 fish.
Volume per fish of Tank C [tex]=180 \div 23 =$ 7.83 fish per liter[/tex]Therefore, the volume per fish from least to greatest is:
7.83, 8 and 8.33
These correspond to the tanks: C, A and B respectively.
Answer:
CAB
Step-by-step explanation:
Got it right in Khan!
14th term of geometric sequence 10,20,40
Is the triangle with sides 1.7 in., 1.1 in., and 2 in. a right triangle? Explain.
Answer:
No
Step-by-step explanation:
This is because those 3 values are not pythagorean triples
2² is not equal to 1.7² + 1.1²
simplify the equation
Answer:
3a
Step-by-step explanation:
9/3 = 3
[tex]a^{3}/a^{2} = a^{3 -2} = a[/tex]
b / b = 1
3 x a x 1 = 3a
Answer:
3a
Step-by-step explanation:
First, cancel the 3 at the bottom by getting rid of it and changing the 9 to a 3. You can do this because 3 is one third of 9.
With the division property of exponents, you have to subtract 3-2 and you can leave a to the power of 1 on the numerator.
Then, cancel the b's out by getting rid of them.
You will be left with 3a.
Daily Brainliest #1 - Needs to be correct / First correct person to answer simple explanation gets today's brainliest
(2+5)×(8+5)
Answer:
91
Step-by-step explanation:
(2 + 5)(8 +5)
2 + 5 = 7
8 + 5 = 13
7 * 13 = 91
in what ways can the graph of a linear function be transformed
Answer:
Using Transformations
Step-by-step explanation:
7. A shopkeeper can buy 36 toys for $20.52. What will he pay for 120 toys
Step by step explansion
__________________________________
Hey!!!
Solution,
Cost of 36 toys=$ 20.52
Cost of 1 toy=20.52/36
=$0.57
Now,
Cost of 120 toys= 0.57*120
=$68.4
hope it helps
Good luck on your assignment
______________________________
Answer:
$68.4
Step-by-step explanation:
Let x represent the required cost.
Since the cost is directly proportional to the number of toys:
x : 20.52 = 120 : 36
i.e. x/20.52 = 120/36
x = [tex]\frac{120 * 20.52}{36}[/tex]
x = 10 * 6.84
x = 68.4
∴ The cost is $68.4.
Hope this helps!!
A jar contains 3 black marbles, 4 white marbles and 5 striped marbles. If a marble is picked at random, what is the probability that it is black? Give your answer as a fraction in lowest terms.
Please help!!!
Answer:
1/4
Step-by-step explanation:
there is 3 black marbles and 3+4+5=12 total marbles. 3/12=1/4
What must be added to each term of the ratio 2:3 so that it may become equal to 4:7
Step-by-step explanation:
HOPE THE ANSWER IS CORRECT AND USEFUL
An online retail company tracked total number of purchases monthly. In June 2007 they were 4,500 purchases and in September 2008 there were 5,100. The purchases followed a linear model of the form p = S ( t ) = r t + i where p purchases is in 1000's and t is months where January 2007=0
The linear model for the number of purchases over time is:
p = 0.043t + 3.726
We have,
Let's assign the variable t as the number of months since January 2007, where t = 0 corresponds to January 2007.
Given data:
June 2007: p = 4,500 (in thousands, so p = 4.5)
September 2008: p = 5,100 (in thousands, so p = 5.1)
We can use these data points to set up a system of equations to solve for the slope (r) and the intercept (i) in the linear model p = rt + i.
Using the data points,
4.5 = r(18) + i (June 2007 corresponds to 18 months after January 2007)
5.1 = r(32) + i (September 2008 corresponds to 32 months after January 2007)
Solving this system of equations will give us the values of r and i.
Subtracting the second equation from the first equation:
4.5 - 5.1 = r(18) - r(32)
-0.6 = -14r
r = -0.6 / -14
r = 0.043
Substituting the value of r into one of the equations:
4.5 = 0.043(18) + i
4.5 = 0.774 + i
i = 4.5 - 0.774
i = 3.726
Therefore,
The linear model for the number of purchases over time is:
p = 0.043t + 3.726
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ4
I need help on the fraction part
Answer:
3 1/7 units
Step-by-step explanation:
(im assuming that 22/7 is what it's being converted here lol) basically what you would do is turn this in to a mixed fraction. You look at how many sevens can go into 22. In this case, three "sevens" would go into 22 (7x3=21). Since we have one left over, it would go over the 7! So that final answer would be 3 1/7!
16.) The school that Lisa goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 adult tickets and 5 student tickets for a total of $102. The school took in $126 on the second day by selling 7 adult tickets and 5 student tickets. What is the price of the adult and the student ticket?
Answer:
adult tickets are $8 and student tickets are $14
Step-by-step explanation:
to find the price of adult and student tickets, first look at all the given values:
a = adult tickets
s = student tickets
so: 4a + 5s = 102
and : 7a + 5s = 126
since in both equations the number of student tickets are the same, we have to find the difference of value to determine how much adult tickets are:
126-102 = 24
there are 3 more adult tickets in the equation with a total of 126, therefore:
24 / 3 = 8
that means each adult ticket is work 8 dollars.
now substitute this value:
4(8) + 5s = 102
32 + 5s = 102
you can solve this by concluding that 102- 32 is 70
that means 5(s) has to equal 70
so 70 / 5 = s
70/5 = 14
so the value of s = 14 and the value of a = 8
Josh practice gymnastics each day after school the data shows the lengths of time josh practiced gymnastics for two weeks
Make a Tally table and line plot to show data
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer
Make a tally table and line plot to show the data.
Time (in hours) Tally Total
[tex]\frac{1}{4}[/tex] // 2
[tex]\frac{1}{2}[/tex] / 1
[tex]\frac{3}{4}[/tex] /// 3
1 //// 4
Hope it will find you well.
Q.4 a) If a= x+y and b= x-y , show that I) (a+b)²= 4x² ii) ( a-b)²= 4y²
Answer:
Below.
Step-by-step explanation:
i) (a + b)^2 = a^2 + 2ab + b^2
= (x + y)^2 + 2(x + y)(x - y) + (x - y)^2
= x^2 + 2xy + y^2 + 2(x^2 - y^2) + x^2 - 2xy + y^2
= x^2 + 2x^2 + x^2 + y^2 - 2y^2 + y^2 + 2xy - 2xy
= 4x^2.
ii) (a - b)^2 = a^2 + b^2 - 2ab
= (x + y)^2 + (x - y)^2 - 2 - 2(x^2 - y^2)
= x^2 + 2xy + y^2 + x^2 - 2xy + y^2 - 2x^2 + 2y^2
= x^2 + x^2 - 2x^2 + y^2 + y^2 + 2y^2 + 2xy - 2xy
= 4y^2.
ill mark u brainliest please help me!
Answer:
C
Step-by-step explanation:
Line AC is equal to line DF.
Answer: The answer is C
Step-by-step explanation:
The way it is written is very important
it goes
AB is to DE
BC is to EF
AC is to DF
Which values are equivalent to the fraction below? 6^7/6^5
Answer:
36
Step-by-step explanation:
Because the bases are the same we can just subtract the exponents to get us 6² or 36.
attachment need help asap
Answer:
c because the x value is equal to the y value
Step-by-step explanation:
Answer:
x=y
Step-by-step explanation:
They are both opposite each other.
Parallel to each other
Pls help I need these points
Justin Launches a water balloon vertically from a platform on his roof height in feet is represented By the equation H = -16t^2+32t+48,where T is the time (in seconds) after he launch is the water balloon
What is the maximum height of the water balloon?
How long does it take to reach its maximum height?
Answer:
a) 64 feetb) 1 secStep-by-step explanation:
Given the height in feet represented by the equation H = -16t²+32t+48, at maximum height, the velocity of the water balloon is zero.
Velocity = dH/dt = 0
dH/dt = -32t+32 = 0
-32t+32 = 0
-32t = -32
t = -32/-32
t = 1sec
Substituting t = 1sec into the modeled equation of the height
H = -16t²+32t+48
H = -16(1)²+32(1)+48
H = -16+80
H = 64 feet
The maximum height of the water balloon is 64 feet
b) In order to know how long it takes to reach its maximum height, we will substitute H = 64 feet into the equation of the height.
64 = -16t²+32t+48
-16t²+32t = 16
16t²-32t+16 = 0
t²-2t+1 = 0
t²-t-t+1 = 0
t(t-1)-1(t-1) = 0
(t-1)² = 0
t-1 = 0
t = 1sec
It took the water balloon 1 sec to reach its maximum height.
What is the 3rd terms of the sequence:
f(1)=-3, f(n)= f(n-1)+5
Answer:
f(3) = 7
Step-by-step explanation:
Using the recursive formula and f(1) = - 3 , then
f(2) = f(1) + 5 = - 3 + 5 = 2
f(3) = f(2) + 5 = 2 + 5 = 7
Katie has 348 gel pens. She gives away 3/4 of them away how many does she give away?
Answer:
261
Step-by-step explanation:
Answer:
Katie gave away 261 gel pens.
Step-by-step explanation:
3/4 ÷348= 261
Can anyone help me please.
[tex]answer \\ 26 \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Point D is located on the segment CE. IF CD = 24 and DE = x and CE - 5x, what is the measure of segment CE?
Answer:
30Step-by-step explanation:
If point D is located on the segment CE, then point C, D and E lies on the same line i.e they are collinear. Mathematically, CD+DE = CE
Given CD = 24 and DE = x and CE = 5x, on substituting this values in the equation we have;
[tex]24+x = 5x\\5x-x = 24\\4x = 24\\x = 24/4\\x = 6[/tex]
Since CE = 5x, CE = 5(6) = 30
The measure of segment CE is 30