Answer:
dimensions are 2.19 inches by 9.14 inches
Step-by-step explanation:
Here, we are interested in knowing the dimensions of the rectangle
Now, let the width of the rectangle be x, from the question, we can write;
6x-4 as the length
Area of rectangle = l * b
x(6x-4) = 20
6x^2 - 4x = 20
divide through by 2
3x^2-2x = 10
3x^2 -2x -10 = 0
using quadratic formula;
x = -b ± √(b^2 - 4ac)/2a
From the quadratic equation, a = 3, b = -2 and c = -10
substituting these values, we have
x = 2 ± √(-2)^2 -4(3)(-10))/6
x = 2 ± √(124)/6
x = 2 + √(124)/6 or 2 - √(124)/6
x = (2+11.14)/6 or (2-11.14)/6
x = 2.19 or -1.52
Since width cannot be negative, we choose 2.19 alone
So the length is 6(2.19) -4 = 9.14
350 people visited a zoo the zoo has four types of tickets the manager wants a sample of size 30, stratified by ticket type. how man teenagers should be be in the sample
Answer:
10 teenagers
Step-by-step explanation:
using the formula i took the sample size of 30, then added all of the cumulative frequency to get to 650
no of teenagers = 10
volume of a cylinder with a radius of 3 and a height of 2
Answer:
56.52
Step-by-step explanation:
V=πr²h
V=3.14*3²*2=56.52
Evaluate using Distributive property: [(-2/7)× (−4/9)] + [(-
3/5)× (−4/9)]
Answer:
Step-by-step explanation:
[8/63] + [ 4/15 ]
= (120 + 652)/945
= 0.82
can someone help me expand this polynomial?
Answer:
Step-by-step explanation:
(k-p)(k-n)
=k^2 -(p+n)k+pn
this is the expanded form..
please mark me as the brainliest
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Multiply the first 2 terms in each brackets
k x k = k^2
Multiply the two outside terms in the brackets
k x - n = -kn
Multiply the two inside terms
-p x k = -pk
Multiply the last two terms
-p x -n = pn
Place all the values together to get your answer of:
k^2 - kn - pk + pn
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
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How many numbers are in the list 1,4,7 .......... 2005, 2008 URGENT! [If you answer correctly, I will mark you brainliest]
Answer:
669.333333333
Step-by-step explanation:
divide 2008 by 3
Answer:
670
Step-by-step explanation:
Adding 2 to each member of the list, we get, and then dividing each member of the list by 3, we get: [tex]$$3, 6, 9, \ldots, 2007, 2010$$[/tex], [tex]$$1,2,3,\ldots,669,670.$$[/tex]
So there are [tex]$\boxed{670}$[/tex] numbers.
Hope this helped! :)
when I triple a number and add 20 i will get the same answer as i do when i subtract the number from 40 find the number
[tex]answer = - 30 \\ let \: the \: number \: be \: x \\ 3x + 20 = x - 40 \\ or \: 3x - x = - 40 - 20 \\ or \: 2x = - 60 \\ or \: x = \frac{ - 60}{2} \\ x = - 30 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
What is the power of an athlete weighing 960 N that runs through a flight of stair case in 2 mins? There are 100 stairs and each stair case has a length of 100 mm
PLS ANSWER
Answer:
Power, P = 80 W
Step-by-step explanation:
We have,
Weight of athlete is 960 N
It runs through a flight of stair case in 2 mins or 120 second
There are 100 stairs and each stair case has a length of 100 mm or 0.1 m
Power is given by :
[tex]P=\dfrac{Fd}{t}[/tex]
d is distance
For 100 stairs,
So,
[tex]P=\dfrac{960\times 100\times 0.1}{120}\\\\P=80\ W[/tex]
So, the power of an athlete is 80 watts.
What are the domain and range of the function f(x)=-x+3 - 2?
Answer:
Domain
R (all real numbers)
Range
R (all real numbers)
Step-by-step explanation:
Solve for a side in right triangles
Answer:
? = 7.45
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent side/ hypotenuse
cos 20 = 7 / ?
Multiply each side by ?
? cos 20 = 7
Divide each side by cos 20
? = 7/ cos 20
? =7.449244407
To the nearest hundredth
? = 7.45
Answer:
7.45 units
Step-by-step explanation:
[tex]\cos 20\degree = \frac{BC}{AB}\\\\0.939692620 = \frac{7}{AB}\\\\AB = \frac{7}{0.939692620}\\AB = 7.4492\\AB = 7.45 units[/tex]
Phil received a prize of xxx dollars from a poker tournament. The tournament cost him 100100100 dollars to enter.
What were Phil's net winnings from the tournament?
Answer:
$(x-100)
Step-by-step explanation:
Phil entered the poker tournament with $100.He received a price of $x.His net winnings from the tournament will be the price minus the entry fee.
Therefore:
Phil's net winnings=$(x-100)
Answer:
x - 100
Step-by-step explanation:
Since it costs 100 dollars for Phil to enter the competition, you subtract that from the prize in which he earns (x).
What is the equivalent exponential expression for the radical expression
below?
8 squared
Answer:
64
Step-by-step explanation:
=> 8²
=> 8 × 8
=> 64
Which is the better buy?
8-kilogram bag of rice for $26.04
9-kilogram bag of rice for $29.15
=============================================================
Explanation:
Calculate the unit rate for the first bag
8 kg = 26.04 dollars
8/8 kg = 26.04/8 dollars ... divide both sides by 8
1 kg = 3.255 dollars
1 kg = 3.26 dollars .... rounding to nearest cent
For the first bag, the unit rate is about 3.26 dollars per kg
---------------
Repeat for the second bag
9 kg = 29.15 dollars
9/9 kg = 29.15/9 dollars ........ divide both sides by 9
1 kg = 3.23888888888889 dollars (approx)
1 kg = 3.24 dollars .... rounding to nearest cent
The unit rate for the second bag is roughly 3.24 dollars per kg
We see that the second bag's unit rate is cheaper by 2 cents, so it is the better deal. This is despite the fact that the entire bag costs more.
Which is a simplified form of the expression -6a + 2(2a + 2)? A. -2a + 4 B. -2a – 4 C. 2a + 4 D. 2a – 4
Answer:
A)
Step-by-step explanation:
-6a + 2(2a + 2) = -6a + 4a + 4
= -2a + 4
hey there,
given that √7569= 87,then the value of √7569 + √75.69 is ________
Answer:
95.7
Step-by-step explanation:
Given that [tex]\sqrt{7569}=87[/tex] we're in search for the value of [tex]\sqrt{7569} +\sqrt{75.69}[/tex].
Simplify the square roots.
[tex]\sqrt{7569} +\sqrt{75.69}[/tex]
[tex]87 + 8.7[/tex]
Now when we add we get 95.7 or 96 rounded to the nearest tenth.
From a log 11 m long, two pieces of length 23/5 m and 33/10
m are cut off. What is the length of the remaining log?
Answer:
31/10 or 3 1/10
Step-by-step explanation:
11 - 23/5 - 33/10
Please answer this question !! 20 points and brainliest !!
Answer: b.2x
Step-by-step explanation:
why? because 2 can be divided into all of the numbers evenly!
all the numbers have (x)
it wouldn't be (2x^2) ,because one of the numbers have x^3
Answer:
2x^2
Step-by-step explanation:
You find what the highest number they all have in common in this case 2 then if they all have x or y in common they have x^2 in common then add the two together making 2x^2
How many centimeters are there in 740.2
millimeters?
Answer:
74.02
Step-by-step explanation:
divide by 10
Answer:
74.02 Centimeters
Step-by-step explanation:
1 centimeter = 10 millimeters
74.02 centimeters = 740.2 millimeters
The original price of a game system was reduced by $99.
If p= the game system’s original price in dollars, which algebraic expression represents the reduced price.
Answer:
P-99 as you would subtract 99 from original
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
What is the supplement of ∠A if m∠A = 78°?
Answer:
The supplement is 102
Step-by-step explanation:
Supplementary angles add to 180 degrees
Let x be the supplement
x+ 78 = 180
subtract 78 from each side
x+78-78 = 180-78
x = 102
Answer:
102
Step-by-step explanation:
For g(x)=7x, describe the value of x when g(x)>28. When g(x) >28, x > (solve for this!)
Answer:
Since g(x) = 7x, we can substitute that into g(x) > which gives us 7x > 28. This simplifies to x > 4.
Answer:
x > 4
Step-by-step explanation:
g(x)=7x
g(x) >28
Replace g(x) with 7x
7x > 28
Divide by 7
7x/7 > 28/7
x > 4
Find the distance from the point (1,4) to the line y = 1/3x - 3
Answer:
Step-by-step explanation:
If I'm not mistaken, and I very well could be, this is a calculus problem(?). In order to find the distance without calculus you'd need a point on the given line to use to find the distance in the distance formula. But you don't have a point on the given line, so we can find the shortest distance between the point (1, 4) and the given line using the derivative of the polynomial formed when using the distance formula.
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] and we have the x and y for x2 (or x1...it doesn't matter which you choose to fill in):
[tex]d=\sqrt{(1-x)^2+(4-y)^2}[/tex]
but what we find is that we have too many unknowns here, namely, the distance, the x coordinate, and the y coordinate. So we can replace the y coordinate with what y is equal to in terms of the linear equation:
[tex]d=\sqrt{(1-x)^2+(4-\frac{1}{3}x-3)^2 }[/tex] and simplify:
[tex]d=\sqrt{(1-x)^2+(7-\frac{1}{3}x)^2 }[/tex]
. No we'll expand each binomial by squaring:
[tex]d=\sqrt{(1-2x+x^2)+(49-\frac{14}{3}x+\frac{1}{9}x^2) }[/tex]
. Combining like terms gives us
[tex]d=\sqrt{\frac{10}{9}x^2-\frac{20}{3}x+50 }[/tex]
The distance between the point (1, 4) and the given line will be at a minimum when the polynomial above is at a minimum. We find the value of x for which the polynomial is at a minimum by finding its derivative, setting the derivative equal to 0, and then solving for x. The derivative of the polynomial is
[tex]\frac{20}{9}x-\frac{20}{3}[/tex]
Setting equal to 0 and getting rid of the denominators gives us
20x - 60 = 0
Solving for x gives us
20x = 60 and x = 3.
That's the value of x that gives us the shortest distance between (1, 4) and the line y = 1/3x - 3. Sub into the distance formula that x value to find the distance:
[tex]d=\sqrt{(\frac{10}{9})(3)^2-(\frac{20}{3})(3)+50 }[/tex]
which simplifies down, finally, to
x ≈ 6.325 units
PLEASE PLEAE PLEASE!!!! HELP ME
Answer:
My best answer. Hope this helps...
Step-by-step explanation:
You can see 1 full square in the triangle.
There are also 3 half squares.
The top part of the triangle also equals to 1 half square.
On the bottom right side, you have two shapes that add up to a square.
4 half squares = 2 full squares.
2 + 1 + 1 = 4
The square also has 4 squares.
Solve this system below by elimination. -x-2y=-9 2x+2y=9
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!
Answer:
3
Step-by-step explanation:
The degree of polynomial is 3
Answer: It's a THIRD degree polynomial.
Step-by-step explanation:
Simplify the expression (64)2
Answer:
128 or 4,096
Step-by-step explanation:
If its 64 x 2 then 128 or if you are implying 64, to the power of two, (64x64) then your answer is 4,096.
The simplified value is 4096.
what is algebric identities?Algebraic identities are equations where the value of the left-hand side of the equation is identically equal to the value of the right-hand side of the equation. Unlike algebraic expressions, algebraic identities satisfy all the values of the variables.
The basic algebraic identities are primarily helpful to work out the numerous math problems. The four basic algebraic identities are as follows.
(a + b)² = a² + 2ab + b²(a - b)² = a² - 2ab + b²(a + b)(a - b) = a² - b²(x + a)(x + b) = x² + x(a + b) + abGiven:
64²
Now, we have to split the 64 into 60+4
(60 + 4)²
Now using the algebric identity
(a+ b)² = a² + b² + 2ab
So,
(60 + 4)²
=60²+2*60*4+4²
=3600+ 480+16
=3600+496
=4096
Hence, the simplified value is 4096.
Learn more about Algebraic identities here:
https://brainly.com/question/19426180
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Which equation matches the graph?
A. 2x + 6y= -8
B. -2x +6y=-8
C. 3x + 4y=-12
D. 4x + 3y= -24
Find the quadractic function to model the values in the table.
Answer: y=3x^2+3x-3
(the first option)
Answer:
3y²+3x-3
Step-by-step explanation:
the first choice
5w=-2x+ 3/4 y+z for z
Answer:
z= 5w+2x -3/4 y
Step-by-step explanation:
add 2x to both sides and subtract 3/4 y.
Each of forty-six pet owners was asked, "Does your pet eat more wet food or dry food?" Here are the results. 9 cat owners and 13 dog owners chose "Wet food". 10 cat owners and 14 dog owners chose "Dry food". Construct a two-way frequency table for the data.
Answer:
Cat owner Dog owner Total
Wet food 9 13 22
Dry food 10 14 24
Total 19 27 46
Step-by-step explanation:
It is given that 9 cat owners and 13 dog owners chose "Wet food". 10 cat owners and 14 dog owners chose "Dry food".
Cat owners-Wet food = 9
Dog owners-Wet food =13
Cat owners-Dry food = 10
Dog owners-Dry food =14
We need to construct a two-way frequency table for the data.
Take owners in the first row and type of food in first column and construct a two-way frequency as shown below:
Cat owner Dog owner Total
Wet food 9 13 22
Dry food 10 14 24
Total 19 27 46
A triangle on a coordinate plane is translated according to the rule T 3.5(x, y). Which is another way to write this rule?
:
(x,y) - (x-3, y + 5)
(x,y) - (x-3, y-5)
(x, y) - (x + 3, y-5)
(x, y) = (x + 3, y + 5)
Mark this and return
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Answer:
(x, y) → (x + 3, y + 5)
Step-by-step explanation: