Answer:
Step-by-step explanation:
7/12-2/5
We will find the LCM of it to make the denominators same.
Which is 60
Now to make denominators same
7/12×5/5
= 35/60
2/5×12/12
= 24/60
Now using these like values
35/60-24/60
= 11/60
The fraction is already in lowest terms
Must click thanks and mark brainliest
Select the correct answer from the drop-down menu. A=-2[-6 4, 3 7, 12 10], B=3[-2 2 8, 8 5 6], 3C=3[-2 8, 2 5, 8 6] and D=-1[-12 8, 6 14, 24 20]. (drop down menu) are equal matrices.
Answer:
A and D are equal
Step-by-step explanation:
Given
[tex]A=-2[-6, 4, 3 ,7, 12, 10][/tex]
[tex]B=3[-2, 2, 8, 8, 5, 6][/tex]
[tex]3C=3[-2, 8, 2, 5, 8, 6][/tex]
[tex]D=-1[-12, 8, 6, 14, 24, 20].[/tex]
Required
The equal matrices
First, we simplify the given expressions
[tex]A=-2[-6, 4, 3 ,7, 12, 10][/tex]
Open bracket
[tex]A= [12, -8, -6 ,-14, -24, -20][/tex]
Next:
[tex]B=3[-2, 2, 8, 8, 5, 6][/tex]
Open bracket
[tex]B=[-6, 6, 24, 24, 15, 18][/tex]
Next:
[tex]3C=3[-2, 8, 2, 5, 8, 6][/tex]
Divide by 3
[tex]C=[-2, 8, 2, 5, 8, 6][/tex]
Lastly:
[tex]D=-1[-12, 8, 6, 14, 24, 20].[/tex]
Open bracket
[tex]D=[12, -8, -6, -14, -24, -20].[/tex]
By comparison:
[tex]A = D=[12, -8, -6, -14, -24, -20].[/tex]
NEED THIS ASAP :)
What is the length of the y-component of the vector plotted below?
A. 3
B. 4
C. 1
D. 2
Answer:
4
Step-by-step explanation:
Length of the y component is how far the vector reaches vertically, so in this case it's 4
what is the value of a if va- vh is equals to 1
Answer:
[tex] \displaystyle a = \frac{1+vh}{v}[/tex]
Step-by-step explanation:
we want to figure out a value of a for the following condition
[tex] \displaystyle va - vh = 1[/tex]
to do so factor out v;
[tex] \displaystyle v (a - h )= 1[/tex]
divide both sides by v which yields:
[tex] \displaystyle \frac{(a-h) \cancel{(v)}}{ \cancel{v}}= \frac{1}{v} [/tex]
therefore,
[tex] \displaystyle a-h = { \frac{1}{v}}[/tex]
now,add h to both sides:
[tex] \displaystyle a = \frac{1}{v}+h[/tex]
further simplification if necessary:
[tex] \displaystyle a =\boxed{ \frac{1+vh}{v}}[/tex]
factor out of v
[tex]\sf{v(a-h)=1 }[/tex]Dividing both sides by (v)
[tex]\sf{\dfrac{v(a-h)}{(v)}=\dfrac{1}{(v)} }[/tex]cancel out (v)
[tex]\sf{\dfrac{\cancel{v}(a-h)}{\cancel{(v)}}=\dfrac{1}{(v)} }[/tex][tex]\sf{ a-h=\dfrac{1}{v} }[/tex]
add h in both sides
[tex]\sf{a-h+h=\dfrac{1}{v}+h }[/tex]cancelout h
[tex]\sf{a-\cancel{h}+\cancel{h}=\dfrac{1}{v}+h }[/tex] [tex]\sf{a=\dfrac{1}{v}+h }[/tex] [tex]\boxed{\sf{a=\dfrac{1+vh}{v} } }[/tex][tex]\sf{ }[/tex] [tex]\sf{ }[/tex]
Therefore:-the value of a if va- vh is equals to 1 is [tex]\bold{\dfrac{1+vh}{v} }[/tex]
Four cans of cat food and 3 cans of dog food cost $1.99. Four cans of the same cat food and 1 can of the same dog food cost $1.33 hat is the cost of one can of cat food
Answer:
$0.25
Step-by-step explanation:
We can use System of Equations to find out how much a can of cat food costs.
Let's use variables to represent the cat food and dog food:
x = cost of 1 cat food can
y = cost of 1 dog food can
Here are our 2 equations based on the scenarios in the question:
4x + 3y = 1.99
4x + y = 1.33
Now let's set the second equation to y using basic algebra:
4x + y = 1.33
y = -4x+1.33
And we're going to plug that value of y, which is -4x+1.33 into the first equation and solve:
4x + 3y = 1.99
4x + 3(-4x+1.33) = 1.99
4x + -12x+3.99 = 1.99
-8x + 3.99 = 1.99
-8x = -2
x = 1/4
x = 0.25
1 can of cat food costs $0.25
Hope that helps (●'◡'●)
Answer:
.25
Step-by-step explanation:
set up equations
1)4c+3d=1.99
2)4c+d=1.33
Method of use:Elimination
4c+3d=1.99
- (4c+d)=-(1.33)
___________
=2d=.66
divide by two on both sides to get .33 for d.
plug in
4c+.33=1.33
subtract .33 on both sides
4c=1
divide by four on both sides to get c
c=1/4 or .25
HELPP! You will get 15 points!
AD is an angle bisector of
Answer:
<CAB
Step-by-step explanation:
Since CAD is equal to DAB
AD bisects CAB
A t-shirt cost 5 times as much as a singlet. For $800,a trader can buy 32 more singlet than t-shirts. How much does a t-shirt cost
Answer: [tex]\$100[/tex]
Step-by-step explanation:
Given
T-shirt cost 5 times as much as a singlet
Suppose the price of a singlet [tex]x[/tex]
Price of a T-shirt is [tex]5x[/tex]
According to the question, for $800, trader can buy 32 more singlet than T-shirt
[tex]\Rightarrow \dfrac{800}{x}=\dfrac{800}{5x}+32\\\\\Rightarrow \dfrac{800}{x}-\dfrac{160}{x}=32\\\\\Rightarrow 800-160=32x\\\\\Rightarrow x=20[/tex]
Thus, the price of a T-shirt is [tex]5x=\$100[/tex]
find the mean of the following 2x-5y,5x+2y,8x+6y,x-y
Answer: 4x + 0.5y
Step-by-step explanation:
Concept:
Here, we need to understand the idea of the mean (average).
The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
**Disclaimer** I assume the question is asking for the arithmetic mean instead of geometric. If it was, then you can refer to my answers. If it was not, then you can point it out and I will redo the question.
Terms: 2x-5y, 5x+2y, 8x+6y, x-y
Number of terms: 4
[(2x-5y) + (5x+2y) + (8x+6y) + (x-y)] / 4
=[2x + 5x + 8x + x + 2y - 5y + 6y - y] / 4
=[16x + 2y] / 4
=4x + 0.5y
Hope this helps!! :)
Please let me know if you have any questions
pls help w work!!
The equation P=2(L + W) is used to find the
perimeter, P, of a rectangle based on the length, L,
and Width, W. Which of the following correctly expresses the value of the width?
(a) P - 2L
(b) P - 2L / 2
(c) 2L - P / 2
(d) 1/2 (P-L)
Lets Do
[tex]\\ \sf\longmapsto p = 2(l + w) \\ \\ \sf\longmapsto l + w = \frac{p}{2} \\ \\ \sf\longmapsto w = \frac{p}{2} - l \\ \\ \sf\longmapsto \boxed{ \bf \: w = \frac{p - 2l}{2} }[/tex]
At a certain point from a pole, the angle of the elevation to the top of the pole is 28 degrees if the pole is 6.3 feet tall, what is the distance from the pole
Answer:
11.85
Step-by-step explanation:
Tan 28 = opposite / adjacent
Answer:
the distance from the pole is 11.85 ft.
Step-by-step explanation:
Given;
the elevation to the top of the pole, θ = 28⁰
height of the pole, h = 6.3 ft
let the distance from the pole = x
If a sketch of a right triangle is made as follows, it will be observed that the base of the triangle forms the adjacent side of the triangle, which is equal to x.
↑
↑ h = 6.3 ft
↑
28⁰ ---------------
x
[tex]tan(28) = \frac{6.3}{x} \\\\x = \frac{6.3}{tan(28)} \\\\x = 11.85 \ ft[/tex]
Therefore, the distance from the pole is 11.85 ft.
Question 10
Points 2
Elizabeth rides a bicycle 5 miles east and then 12 miles north. How far is she from her starting
point?
Answer:
Step-by-step explanation:
Elizabeth is 13 miles far from the starting point.
What is the Pythagoras theorem?The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
|AC|^2 = |AB|^2 + |BC|^2
Elizabeth rides a bicycle 5 miles east and then 12 miles north.
Let consider that AB = 5 miles and BC = 12 miles.
SO,
[tex]|AC|^2 = |AB|^2 + |BC|^2 \\\\|AC|^2 = |12|^2 + |5|^2 \\\\|AC|^2 = 144 + 25\\\\|AC|^2 = 169\\\\|AC| = 13[/tex]
Hence, She is 13 miles far from the starting point.
Learn more about Pythagoras theorem;
https://brainly.com/question/343682
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x²- 9x + 20=0 it´s finding solutions for x
Answer:
Step-by-step explanation:
Sum = -9
Product = 20
Factors = -5 , -4 {-4 * -5 = 20 & -5 + (-4) = -9}
x² - 9x + 20 = 0
x² - 5x - 4x + 20 = 0 Rewrite middle term
(x² - 5x) - 4x + 20 = 0 Group terms
x(x - 5) - 4(x - 5) = 0 Factor terms
(x-5)(x -4)=0
x -5 = 0 ; x - 4 = 0
x = 5 ; x = 4
Ans: x = 5 , 4
Find the slope of the line
Jada worked at the bakery for 14 hours last week he spent $12 of his earnings on a cake for his father‘s birthday as he was last with $86 after buying the cake what is Gianna‘s hourly wage
Answer:
$7 is his Hourly Wage.
Step-by-step explanation:
We can start by finding out how much money Jada started with by adding the amount of money he had after buying the cake with how much he spent on the cake, 86 + 12 = 98.
We now know how much money he had before buying anything. Now we can just divide the total amount of money by how long he worked.
98 ÷ 14 = 7
Write an equation for a parabola with endpoints of the latus rectum at (-2, 3) and (-2, 15) and the directrix at x = 4.
Given:
The endpoints of the latus rectum at (-2, 3) and (-2, 15).
The directrix at x = 4.
To find:
The equation of the parabola.
Solution:
The equation of the parabola is:
[tex](y-k)^2=4p(x-h)[/tex] ...(1)
Where, [tex]x=h-p[/tex] is directrix and [tex](h+p,k\pm |2p|),p<0[/tex] are the end point of the latus rectum.
The directrix at x = 4. So,
[tex]h-p=4[/tex] ...(i)
The endpoints of the latus rectum at (-2, 3) and (-2, 15). So,
[tex](h+p,k-|2p|)=(-2,3)[/tex]
[tex](h+p,k+|2p|)=(-2,15)[/tex]
Now,
[tex]h+p=-2[/tex] ...(ii)
[tex]k-2p=3[/tex] ...(iii)
[tex]k+2p=15[/tex] ...(iv)
Adding (i) and (ii), we get
[tex]2h=2[/tex]
[tex]h=1[/tex]
Putting [tex]h=1[/tex] in (i), we get
[tex]1-p=4[/tex]
[tex]-p=4-1[/tex]
[tex]-p=3[/tex]
[tex]p=-3[/tex]
Putting [tex]p=-3[/tex] in (iii), we get
[tex]k-|2(-3)|=3[/tex]
[tex]k-6=3[/tex]
[tex]k=3+6[/tex]
[tex]k=9[/tex]
Putting [tex]h=1,p=-3,k=9[/tex] in (1), we get
[tex](y-(9))^2=4(-3)(x-1)[/tex]
[tex](y-9)^2=-12(x-1)[/tex]
Therefore, the required equation of the parabola is [tex](y-9)^2=-12(x-1)[/tex].
What is the slope-intercept equation of the line below?
O A. y = 2 x + 1
O B. y --4x+1
O C. y - 4x +1
O D. y--3x+1
Answer:
A.) y = 3/4x + 1
Step-by-step explanation:
First let's find the slope using the slope formula, (y₂-y₁)/(x₂-x₁). The two points given are (0,1)₁ and (4,4)₂. We have to substitute those values.
y₂ = 4, y₁ = 1, x₂ = 4, x₁ = 0 --> (4 - 1)/(4 - 0) = 3/4
The slope is 3/4.
Now, we have to find the y-intercept, which is where the line meets the y-axis. It touches the y-axis at (0,1). The y-intercept is 1.
Finally, we build our equation in slope-intercept form.
y = mx + b
y = 3/4x + 1
Please help..
A line intersects the points
(21, 18) and (23, 24).
Find the slope of the line.
Slope = [?]
Answer:
3
Step-by-step explanation:
slope = (24-18)/(23-21) = 6/2 = 3
5/3 to the 3rd power
Answer:
(5/3)(5/3)(5/3) = 125/27
Step-by-step explanation:
Answer:
[tex]4\frac{17}{27}[/tex]
Step-by-step explanation:
5/3³
5/3 × 5/3 × 5/3
5 × 5 × 5 = 125
3 × 3 × 3 = 27
[tex]\frac{125}{27}[/tex]
[tex]4\frac{17}{27}[/tex]
Multiply the polynomial vertically:
1/2x^2(12x^2 - 4x + 2)
Step-by-step explanation:
= 1/2x^2.12x^2 - 1/2x^2.4x + 1/2x^2.2
= 6x^4 - 2x^2 + x
In order for the parallelogram to be a rhombus, x=?
Answer:
Step-by-step explanation:
The diagonal must be an angle bisector for a rhombus.
That means that both bisected angles are equal.
2x + 16 = 5x - 8 Add 8 to both sides
2x + 16 + 8 = 5x
2x + 24 = 5x Subtract 2x from both sides
24 = 5x - 2x
24 = 3x Divide by 3
24/3 = x
x = 8
Which of the answer choices could be the one missing data item for the following set, if the mode is 12?
7, 12, 9, 15, 12, 7, 9, 7, 12, 15
HELP I WILL GIVE BRAINLIEST
A. 15
B. 9
C. 7
D. 12
Answer:
D
Step-by-step explanation:
first of all, what is mode: it is the highest occuring number in a set of numbers.
now since 12 is supposed to be the mean and it occurs twice but 9 also occurs twice so for 12 to be the mode, we must add one more 12.
therefore the answer is 12
A random variable X has a Poisson distribution with a mean of 3. What is the probability that X P(1≤X≤3) ?.
Answer:
P(1≤X≤3) = 0.5974
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
Mean of 3
This means that [tex]\mu = 3[/tex]
P(1≤X≤3) ?
[tex]P(1 \leq X \leq 3) = P(X = 1) + P(X = 2) + P(X = 3)[/tex]
So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494[/tex]
[tex]P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240[/tex]
[tex]P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240[/tex]
So
[tex]P(1 \leq X \leq 3) = P(X = 1) + P(X = 2) + P(X = 3) = 0.1494 + 0.2240 + 0.2240 = 0.5974[/tex]
Which expressions are equivalent.
PLEASE HELP ME !!! (photo given)
Answer:
[tex]\frac{2^{5} }{6^{5} } =2^{5} 6^{-6}[/tex]
[tex]=2^5\times (2^{-5} 3^{-5} )[/tex]
[tex]=2^{5-5} 3^{-5}[/tex]
[tex]=2^{0} 3^{-5}[/tex]
[tex]=3^{-5}[/tex]
[tex]OAmalOHopeO[/tex]
Answer:
B(3^-5) and D(2^5*6^-5)
Step-by-step explanation:
I put the expression in to the calculator and put the answers into the calculator and just picked the ones that matched
Please help!!!!!!!!!!!!!!
Answer:
7^-22
Step-by-step explanation:
Exponent laws.
Find the shaded area
Answer:
101 degrees
Step-by-step explanation:
the sum of all angles in a triangle is always 180 degrees.
the other not-shaded angle in the lower triangle is also 42 degrees.
the shaded angle is therefore
180 - 37 - 42 = 101 degrees
Given that a box has 3 blue marbles, 2 red marbles, and 4 yellow marbles, use the probability formulas to answer the following questions. Reduce all fractions. Use / as the fraction bar and do not use any spaces. What is the probability of... Drawing a blue marble?
P( Answer
)= Answer
Drawing a marble that is not red?
P( Answer
)= Answer
Drawing a red and yellow marble?
P( Answer
)= Answer
Drawing a red or blue marble.
P( Answer
)= Answer
Drawing a red marble, put it back, and then drawing a yellow marble?
P( Answer
)= Answer
Drawing a yellow marble, keeping it, and then drawing another yellow marble?
P( Answer
)= Answer
Drawing a yellow marble, given that a red marble was drawn on the first draw and not replaced?
P( Answer
)= Answer
Answer:
drawing a blue marble is a harder then the yellow but not as hard as the red.
calculate the distance between the point(5,6) and (7,8)
HELP ASAP
The graph shows a function of the form f(1) = ax + b.
Use the drop-down menus to complete the statements about the function, and then
write an equation that represents this function
Answer:
The equation of the function: y = mx + b
m = slope = (y₂ - y₁)/(x₂ - x₁) = [5 - (-3)]/(4 - 0) = (5 + 3)/4 = 8/4 = 2b = y-intercept = -3Therefore, the equation is f(x) = 2x - 3
When x = 0, f(x) = 2(0) - 3 = -3
When x increases by 1, f(x) increases by 2 (slope = the rate of change)
help me out please
(geometry)
Answer:
x = 17
Step-by-step explanation:
The angles are same side interior angles and they will add to 180 when the lines are parallel
6x+8 + 4x+2 = 180
10x+10 = 180
Subtract 10 from each side
10x+10-10 =180-10
10x = 170
Divide by 10
10x/10 = 170/10
x = 17
Answer:
x = 17
Step-by-step explanation:
Theorem:
If two lines are cut by a transversal such that same-side interior angles are supplementary, then the lines are parallel.
For the lines to be parallel, the sum of 6x + 8 and 4x + 2 must equal 180.
6x + 8 + 4x + 2 = 180
10x + 10 = 180
10x = 170
x = 17
Find the equation of the line which is perpendicular to the line.
(a) with equcation y=5x-4 and passes through (0,7)
Answer:
[tex]y = - \frac{1}{5} x + 7[/tex]
Step-by-step explanation:
Slope -intercept form:
y= mx +c, where m is the slope and c is the y- intercept.
Since the given equation is already in the slope-intercept form, we can identify its slope by looking at the coefficient of x.
Slope of given line= 5
The product of the gradients of two perpendicular lines is -1.
m(5)= -1
[tex]m = - \frac{1}{5} [/tex]
Substitute the value of m into the equation:
[tex]y = - \frac{1}{5} x + c[/tex]
Substitute a pair of coordinates to find the value of c.
when x= 0, y= 7,
[tex]7 = - \frac{1}{5} (0) + c[/tex]
c= 7
Thus, the equation of the line is y= -⅕x +7.
how many even factors does 1658880000 have
Answer:
400
Step-by-step explanation:
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 27, 30, 32, 36, 40, 45, 48, 50, 54, 60, 64, 72, 75, 80, 81, 90, 96, 100, 108, 120, 125, 128, 135, 144, 150, 160, 162, 180, 192, 200, 216, 225, 240, 250, 256, 270, 288, 300, 320, 324, 360, 375, 384, 400, 405, 432, 450, 480, 500, 512, 540, 576, 600, 625, 640, 648, 675, 720, 750, 768, 800, 810, 864, 900, 960, 1000, 1024, 1080, 1125, 1152, 1200, 1250, 1280, 1296, 1350, 1440, 1500, 1536, 1600, 1620, 1728, 1800, 1875, 1920, 2000, 2025, 2048, 2160, 2250, 2304, 2400, 2500, 2560, 2592, 2700, 2880, 3000, 3072, 3200, 3240, 3375, 3456, 3600, 3750, 3840, 4000, 4050, 4096, 4320, 4500, 4608, 4800, 5000, 5120, 5184, 5400, 5625, 5760, 6000, 6144, 6400, 6480, 6750, 6912, 7200, 7500, 7680, 8000, 8100, 8192, 8640, 9000, 9216, 9600, 10000, 10125, 10240, 10368, 10800, 11250, 11520, 12000, 12288, 12800, 12960, 13500, 13824, 14400, 15000, 15360, 16000, 16200, 16384, 16875, 17280, 18000, 18432, 19200, 20000, 20250, 20480, 20736, 21600, 22500, 23040, 24000, 24576, 25600, 25920, 27000, 27648, 28800, 30000, 30720, 32000, 32400, 32768, 33750, 34560, 36000, 36864, 38400, 40000, 40500, 40960, 41472, 43200, 45000, 46080, 48000, 49152, 50625, 51200, 51840, 54000, 55296, 57600, 60000, 61440, 64000, 64800, 67500, 69120, 72000, 73728, 76800, 80000, 81000, 81920, 82944, 86400, 90000, 92160, 96000, 98304, 101250, 102400, 103680, 108000, 110592, 115200, 120000, 122880, 128000, 129600, 135000, 138240, 144000, 147456, 153600, 160000, 162000, 163840, 165888, 172800, 180000, 184320, 192000, 202500, 204800, 207360, 216000, 221184, 230400, 240000, 245760, 256000, 259200, 270000, 276480, 288000, 294912, 307200, 320000, 324000, 331776, 345600, 360000, 368640, 384000, 405000, 409600, 414720, 432000, 442368, 460800, 480000, 491520, 512000, 518400, 540000, 552960, 576000, 614400, 640000, 648000, 663552, 691200, 720000, 737280, 768000, 810000, 819200, 829440, 864000, 884736, 921600, 960000, 1024000, 1036800, 1080000, 1105920, 1152000, 1228800, 1280000, 1296000, 1327104, 1382400, 1440000, 1474560, 1536000, 1620000, 1658880, 1728000, 1843200, 1920000, 2048000, 2073600, 2160000, 2211840, 2304000, 2457600, 2560000, 2592000, 2654208, 2764800, 2880000, 3072000, 3240000, 3317760, 3456000, 3686400, 3840000, 4096000, 4147200, 4320000, 4423680, 4608000, 5120000, 5184000, 5529600, 5760000, 6144000, 6480000, 6635520, 6912000, 7372800, 7680000, 8294400, 8640000, 9216000, 10240000, 10368000, 11059200, 11520000, 12288000, 12960000, 13271040, 13824000, 15360000, 16588800, 17280000, 18432000, 20480000, 20736000, 22118400, 23040000, 25920000, 27648000, 30720000, 33177600, 34560000, 36864000, 41472000, 46080000, 51840000, 55296000, 61440000, 66355200, 69120000, 82944000, 92160000, 103680000, 110592000, 138240000, 165888000, 184320000, 207360000, 276480000, 331776000, 414720000, 552960000, 829440000, 1658880000
