Answer:
151 19/27 in^3
Step-by-step explanation:
volume of cube is (side length)^3
(5 1/3)^3 = (16/3)^3 = 4096/27 = 151 19/27
How do I expand this
Step-by-step explanation:
We have
[tex](sc^2x-1)^2[/tex]
Which is the same as
[tex](sc^2x-1)(sc^2x-1)[/tex]
To expand this polynomial, we can use the FOIL method. Meaning that we multiply the Fronts, Outsides, Insides, and Lasts together and then add each of these products.
The two fronts are [tex]sc^2x[/tex] and [tex]sc^2x[/tex],
[tex](sc^2x )(sc^2x )=s^2c^4x^2[/tex]
The two Outsides are [tex]sc^2x[/tex] and [tex]-1[/tex],
[tex](sc^2x )(-1)=-sc^2x[/tex]
The two Insides are [tex]-1[/tex] and [tex]sc^2x[/tex],
[tex](-1)(sc^2x )=-sc^2x[/tex]
The two lasts are [tex]-1[/tex] and [tex]-1[/tex],
[tex](-1)(-1)=1[/tex]
Now we just need to add these together to get
[tex]s^2c^4x^2-sc^2x-sc^2x+1\\\\s^2c^4x^2-2sc^2x+1[/tex]
Answer:
[tex]cot^{4} x[/tex]
Step-by-step explanation:
Darwin's best time for running 5000 metres is 16 minutes. He wants to run it in 15 minutes and 30 seconds.
What percentage reduction in time is this?
Please include explanation!
Answer:
3 percent
Step-by-step explanation:
convert to seconds
960 seconds to 930 seconds
30 seconds ÷ 960=3 per cent
The percentage reduction in time is required.
The percentage reduction is [tex]3.125\%[/tex]
The initial value of time = 16 minutes
Final value of time = 15 minutes and 30 seconds = 15.5 minutes
Percentage reduction is given by
[tex]\dfrac{\text{Old value}-\text{New value}}{\text{Old value}}\times 100\\ =\dfrac{16-15.5}{16}\times100=3.125\%[/tex]
The percentage reduction is [tex]3.125\%[/tex]
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Find the missing leg?
Answer:
11
Step-by-step explanation:
13×13 = 169
17 × 17 = 289
289 - 169 = 120
Square root of 120 is 10.95
Round answer to 11
[tex]4 \times 8 ^{2x + 1?} = 32 ^{x + 2} [/tex]
Answer:
x = 5
Step-by-step explanation:
__________________________________________________________
FACTS TO KNOW BEFORE SOLVING :-
[tex]a^x \times a^y = a^{x+y}[/tex]In an equation , if the bases are same in both L.H.S. & R.H.S. then , the power of the bases on both the sides of equation should be equal. For e.g. : [tex]a^x = a^y[/tex] ⇒ [tex]x = y[/tex] [∵ Bases are equal on both the sides]__________________________________________________________
[tex]4 \times 8^{2x+1} = 32^{x+2}[/tex]
Lets express it in terms of 2.
[tex]=> 2^2 \times 2^{3 (2x+1)} = 2^{5(x+2)}[/tex]
[tex]=> 2^2 \times 2^{6x+3} = 2^{5x+10}[/tex]
[tex]=> 2^{2 + 6x+3} = 2^{5x+10}[/tex]
[tex]=> 2^{6x+5} = 2^{5x+10}[/tex]
Here the bases on both the sides are equal. Hence ,
[tex]=> 6x + 5 = 5x + 10[/tex]
[tex]=> 6x - 5x = 10 - 5[/tex]
[tex]=> x = 5[/tex]
Suppose f(x) = 3x^2 - 2x... Find f(-4)
Sam is saving for a guitar. He already has $50 saved and intends to save $30 each week. Sam found a guitar that costs $410. After how many weeks will Sam have saved enough money to buy the guitar?
Answer:
12 weeks
Step-by-step explanation:
30 x 12 = 360
which equals 12 weeks in this case and 360 + 50 equals 410 the 50 came from the 50 he already had
I hope this helps!!
What is the answer to number 3 I don't get it
Answer:
First is 144
Second is 16
Third is 9
Step-by-step explanation:
how do i solve 2.5a+12=5a
Answer:
a
=
4.8
Step-by-step explanation:
there
I GIVE BRAINIEST
Can someone help me with questions 4,5, and 6? pls show all work pls.
Answer:
4. 3,4
5. 0,4
6. -8, -1
Hope that helps!
Step-by-step explanation:
A car traveling at an average rate of 60 miles per hour will drive 270 miles in 4.5 hours.
A. True
O
B. False
A car traveling at an average rate of 60 miles per hour will drive 270 miles in 4.5 hours is true.
What is Speed?Speed is the time rate at which an object is moving along a path,
Given that car traveling at an average rate of 60 miles per hour will drive 270 miles in 4.5 hours.
We have to check whether the statement is true or false.
To check, we can use the formula:
distance = rate x time
Substituting the given values, we get:
distance = 60 x 4.5 = 270 miles
Therefore, the statement is true.
Hence, A car traveling at an average rate of 60 miles per hour will drive 270 miles in 4.5 hours is true.
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1/3(9x + 12) = 15
a. x=5
b. x=3.67
c. x=2.8
d. x=4.5
Answer:
b
Step-by-step explanation:
x=11/3 or 3.6667 which is b
Answer:
Answer might be b
Step-by-step explanation:
9x+12
-----—---- = 15
3
9x+12 = 15 *3
9x +12 = 45
9x=45-12
9x =33
x = 33
---
9
x = 3.6
Not sure what I did is correct so pls check
Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet?
Answer:
152
Step-by-step explanation:
the second one, ((6 x 5) x 4) +((5 x 4) x 2) = 160
the third one, ((7 x 6) x 4) + (6 x 4) x 2) = 216
the fourth one, ((8 x 4) x 4) + ((4 x 3) x 2) = 152
Step-by-step explanation:
I HOPE MY ANSWER HELPS U;)A five feet tall man casts a shadow rhat is 4 1/3 feet long. A telephone pole casts a shadow that is 25.5 feet long. How tall is the telephone pole in inches
Answer:
22.1 inches
Step-by-step explanation:
The shadow is formed at a specific factor of the original image hence if a 5 feet tall man casts a shadow rhat is 4 1/3 feet long then a telephone pole casts a shadow that is 25.5 feet long must have a length
5 / 4 1/3 = x / 25.5
where x is the length of the pole
5 / 13/3 = x/ 25.5
15/13 = x/25.5
cross multiply
15 * x = 13 * 25.5
Divide both sides by 15
x = 13 * 25.5 / 15
x = 22.1 inches
The telephone pole in inches is 22.1 long
what is the factored form of -1/2(32x - 40) - (20x - 4)?
Answer:
12(-3x + 2)
Step-by-step explanation:
-1/2 ( 32x - 40) - (20x - 4) = -16x + 20 - 20x + 4 = -36x + 24 = 6(-6x + 4) = 12(-3x + 2)
A family of four bought 6 bags of peanuts to share equally. If
each bag contained 36 peanuts, how many did each family
member receive?
Answer:
54
Step-by-step explanation: 36 * 6 = 216
216 divided by 4 = 54
At a car dealership, salespeople earn a 5% commission on the first $10,000 of every sale, plus a 3% commission on any amount over $10,000. A salesperson sold a car for $12,300. What was the total commission on the sale? help me due today
Answer:
The total comission on the sale was $375.
Step-by-step explanation:
Since the salesperson sold the car for $12,300, the total comission on the sale would be equal to the 5% of $10,000 plus the 3% of the remaining amount which would be:
Total comission=(10,000*5%)+(12,500-10000)*(3%)
Total comission=500+(2,500*3%)
Total comission=300+75
Total comission=375
According to this, the answer is that the total comission on the sale was $375.
If Maria makes $40 each day at her job, and she gets paid $20 for a training course
Answer:
Where is the rest of the question?
Step-by-step explanation:
40x +20
220 divided by 393,718? Math
hola cual es la raiz cuadrada de √639+(393)
Answer:
393 + 39√6
Step-by-step explanation:
√639 + (393)
Simplify
393 + 39√6 (Answer)
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(urgent please help me with this. Will give brainliest)
[tex] \frac{x + 1}{2} = \frac{x - 1}{1} + \frac{5}{x} [/tex]
solve -1/8y ≤ 34. then graph the solution.
Answer:
Multiply each term in −1/8y≤34 by −8. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
−1/8y x −8 ≥ 34 x −8 Simplify −1/8y x −8
y ≥ 34 x −8
Multiply 34 by −8.
y≥−272
Step-by-step explanation:
Solve the following system of equations graphically on the set of axes below.
y= 2x-2
y= -x+7
Answer:
x=y + 2
2
y=2(x - 1)
Step-by-step explanation:
y=2 x -2
swap sides so that all variable terms are on the left hand side
2x - 2 =y
add 2 to both sides
2x = + 2
Divide both sides by 2.
2 x = y + 2
2. 2
Dividing by 2 undoes the multiplication by 2.
x = y + 2
2
Divide y +2 by 2.
x = y + 1
2
Okay what’s the answer to this one plz
Answer:
what the FLIP
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
3x + 8 = 5x ( Inscribed angles on same arc are equal) 5x - 3x = 82x = 8x = 8 / 2x = 4Hope it will help :)
Elena is ordering dried chili peppers and corn husks for her cooking class. Chili peppers cost $16.95 per pound and corn husks cost $6.49 per pound.
Elena spends less than $50 on d pounds of dried chili peppers and h pounds of corn husks.
Can Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50? Explain your reasoning.
Yes, Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50.
What is the reference as the equation?In its most basic form, an equation is an assertion that demonstrates that two formulas are equal. 63x + 5 = 14, for example, is an equation wherein 63x + 5 and 14 are two representations separated by a 'equal' sign.For the given question;
Let the pounds of dried chili peppers be 'd'.Let pounds of corn husks be 'h'.Chili peppers cost $16.95 per pound Corn husks cost $6.49 per pound.The equation becomes;
16.95 d + 6.49 h
16.95 (1.5) + 6.49 (3)
25.425 + 19.47
44.895 < $50
Thus, Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50.
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A CIRCLE HAS A CIRCUMFENCE 43.96 YD FIND THE RADUIS OF THE CIRCLE explain
Answer:
≈ 7
Step-by-step explanation:
can someone please help i promise i’ll mark brainliest!!
Answer: I’m so sorry I don’t understand it but you should try Photomath it’s a app that helps with math and gives answers to math problems. Another good app is Socratic it looks for answers for any subject.
Step-by-step explanation:
HELPPPPPP PLEASEEEEE BRAINLIEST IF CORRECT!!!
Answer:
1<7
Step-by-step explanation:
Hey there!
1.) adjacent
2.) vertical
3.) corresponding
4.) none of these
5.) 1 and 7, 3 and 5, 2 and 8, 4 and 6
6.) 2 and 7, 6 and 3
Have a terrifcly amazing day!
Which situation is best described by this number line?
Answer:
B? I think itts B
Step-by-step explanation:
-2x + 6 + 4x = -12
Solve for x
Answer:
x = -9
Step-by-step explanation:
-2x + 6 + 4x = -12
-2x + 4x = -12 - 6
2x = -18 -----Divide -18 by 2
x = -9
Find the solution of y = 4x + 2 for x = -5.
A.
(-5, -18)
B.
(-5, 22)
C.
(-18, -5)
Answer: THE ANSWER WOULD BE A. (-5, -18)
Notice how y=4x%2B2 is in slope-intercept form y=mx%2Bb where m is the slope and b is the y-intercept.
So this shows us that the slope is m=4 and the y-intercept is b=2 which is the point (0,2)
You can always plot an equation like this to find intercepts
and slope. Each point requires an x and a y. My
way is to make x+=+0 and find y,
then I make y+=+0 and find x
y+=+4x+%2B+2
y+=+4%2A0+%2B+2 solve for y
y+=+2
the point is (0,2)
then,
0+=+4x+%2B+2 solve for x
subtract 2 from both sides
4x+=+-2
x+=+-%281%2F2%29
the point is (-%281%2F2%29,0)
Once you have any two points, you can draw the line by connecting them
When the equation is in the form
y+=+mx+%2B+b
m = slope
b = y-intercept
So, your equation y+=+4x+%2B+2
m+=+4 (slope)
b+=+2 (y-intercept)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form: (
−
5
,
−
18
)
Equation Form: x
=
−
5
,
y
=
−
18