Value of the expression when n=3
-2n(5+n-8-3n)
Answer:
54
Step-by-step explanation:
Substitute n into the equation:
-2(3)[5+3-8-3(3)]
-6[-9]
+54
The baker fits 26 rolls onto a pan that measures 1 5/ 8 ft.² how many square feet does the Baker use for each roll? Show your work.
Answer:
1/16ft²
Step-by-step explanation:
If 26 rolls fits into 1 5/8 ft² pan, then for us to get the number of square feet for each roll, we will fillw the steps;
26rolls = 1 5/8ft²
1 roll = xft²
26 rolls = 13/8 ft²
1roll = xft²
Cross multiply
26×x = 1×13/8
26x = 13/8
Ceoaa multiply
26x×8 = 13
208x = 13
x =13/208
x = 1/16 ft²
Hence the baker uses 1/16ft² for each roll
Which one of these shapes is not like the other and why?
A and B is not, because if you were to make the A bigger it'll be the same as B, so I think is C
Help please I am confused?
Answer:
Given m∠RST = (15x - 10)o
Using angle addition postulate:
m∠RST = m∠RSP + m∠PST (15x - 10)= (x + 25)+ (5x + 10)(15x - 10)=
so your answer would be (6x+35)
Step-by-step explanation:
Please help I’d appreciate it so so so so much because I suck at math thank you! Ily
Answer:
the order of operations tells us how to solve a problem.
first is P for parentheses. this means you solve all the expressions within the parentheses. this ensures a simplified expression before moving on.
second is E for exponents. this means you solve all the expressions with exponents. by doing this before MDAS, you do not raise the wrong values.
third and fourth is M/D for multiplication/division. the / is between these two because these steps are interchangeable. you can multiply or divide first. the results will be the same.
this also applies to the fifth and sixth, which are A/S for addition/subtraction.
Tim biked 40 miles in 2 hours. His Rate is
every hour.
This means Tim biked
miles for every hour ?
Answer:
20 miles/hour
Step-by-step explanation:
40 miles in 2 hours,
thus,
40/2 miles in 2/2 hours = 20 miles in 1 hour.
Therefore, Tim bikes 20 miles per hour.
what is the least common multiple of 6, 12 , and 15
Answer:
It's 3.
Step-by-step explanation:
3x2=6
3x4=12
3x5=15
HHEELLPP ME PLEASE
1/2x + 1/3y = 3
Which of the following equations is equivalent to the given equation?
A. 3x + 2y = 3
B. 2x + 3y = 18
C. 3x + 2y = 18
use the base ten system and mental math to find the products. of 40x50=
Answer:
2000
Step-by-step explanation:
(4x5) x 100
Answer:
2000
Step-by-step explanation:
40 x 50 can be easily done by multiplying 4 and 5 which is 20 and adding the remaining 0's which is 2000
Find an equation of a line with slope m=−2/5 that contains the point (10,−5). Type your answer is slope-intercept form.
The equation of a line in slope intercept form with slope (-2/3) and point (10,-5) is y = (-2/3) - 1.
What is the slope?The slope is the rate of change of y-axis with respect to x-axis.
We know that equation of a line in slope intercept form is y = mx + b.
To find the y-intercept b we will substitute the value of m and point (x,y).
∴ The equation of the line in slope intercept form with slope -2/5 and points (10,-5) is,
-5 = -(2/5)×10 + b.
-5 = -4 + b.
b = -1.
So the given equation of the line is y = (-2/3)x - 1.
learn more about slope here :
https://brainly.com/question/3605446
#SPJ5
An arhitect wants to draw a rectangle with a diagonal of 20 inches. The length of the rectangle is to be 8 inches more than twice the width.what dimensions should she make the rectangle
The diagonal of a rectangle = sqrt(w^2 + l^2)
w = width
l = length
In this problem,
The diagonal = 20 in
w = x
l = 2x + 8
Let's plug our numbers into the formula above.
20in = sqrt((x)^2 + (2x + 8)^2)
Let's simplify the inside of the sqrt
20 in = sqrt(5x^2 + 32x + 64)
Now, let's square both sides.
400 = 5x^2 + 32x + 64
Subtract 400 from both sides.
0 = 5x^2 + 32x - 336
Factor
0 = (5x - 28)(x + 12)
Set both terms equal to zero and solve.
x + 12 = 0
Subtract 12 from both sides.
x = -12
5x - 28 = 0
Add 28 to both sides.
5x = 28
Divide both sides by 5
x = 28/5
The width cant be a negative number so now we know that the only real solution is 28/5
Let's plug 28/5 into our length equation.
Length = 2(28/5) + 8 = 56/5 + 8 = 96/5
In conclusion,
Length = 96/5 inches
Width = 28/5
What is the density of Basalt? Mass = 20g ; Volume = 6.47 cubic cm. Round
to TWO decimal places.
Answer:
3.09g/cm cubedStep-by-step explanation:
Density = mass/volume = 20/6.47
A carton has a length of fraction 2 and 1 over 6 feet, width of fraction 1 and 1 over 5 feet, and height of fraction 2 and 1 over 2 feet. What is the volume of the carton?
Answer:
6 1/2 cubic feet
Step-by-step explanation:
A carton has a length of 2 1/6 feet
The width is 1 1/5 feet
The height is 2 1/2 feet
Therefore the volume of the carton can be calculated as follows
= length × width × height
= 2 1/6 × 1 1/5 × 2 1/2
= 13/6 × 6/5 × 5/2
= 390/60
= 13/2
= 6 1/2 cubic feet
Hence the volume of the carton is 6 1/2 cubic feet
I really need help with this answer can someone help?
Answer:
$7075 or 7718
Step-by-step explanation:
91100-6200=84900
84900/11= 7718.18181818 or rounded= 7718
(This is if the december month doesnt count.)
84900/12=7075
(If december is included.)
Answer:
her monthly salary = 84900/12= 7075 dollars
Step-by-step explanation:
total earns= 91100 dollars
actual salary does not include bonus
her actually salary : 91100-6200= 84900
her monthly salary = 84900/12= 7075 dollars
Why did I get this question wrong?
Step-by-step explanation:
∫ 9 arctan(1/x) dx
If u = 9 arctan(1/x), then:
du = 9 / (1 + (1/x)²) (-1/x²) dx
du = -9 dx (1/x²) / (1 + (1/x²))
du = -9 dx / (x² + 1)
If dv = dx, then v = x.
∫ u dv = uv − ∫ v du
= 9x arctan(1/x) − ∫ -9x dx / (x² + 1)
= 9x arctan(1/x) + 9/2 ∫ 2x dx / (x² + 1)
= 9x arctan(1/x) + 9/2 ln(x² + 1)
Evaluate from x=1 to x=√3.
[9√3 arctan(1/√3) + 9/2 ln(3 + 1)] − [9 arctan(1) + 9/2 ln(1 + 1)]
[9√3 (π/6) + 9/2 ln(4)] − [9 (π/4) + 9/2 ln(2)]
(3π√3)/2 + 9/2 ln(4) − (9π/4) − 9/2 ln(2)
(6π√3)/4 + 9 ln(2) − (9π/4) − 9/2 ln(2)
(6π√3 − 9π)/4 + 9/2 ln(2)
Answer:
[tex]9\left(\frac{1}{2}\ln \left(2\right)-\frac{\pi }{4}+\frac{\pi }{2\sqrt{3}}\right)[/tex]
Step-by-step explanation:
We are given the integral 9 arctan(1/x)dx on the interval x[ from 1 to √3 ].
Now let's say that u = arctan(1/x). The value of 'du' would be as follows:
du = - x / (1 + x²) * dx
If we apply integration by parts, v = 1, and of course u = arctan(1/x):
=> 9x arctan(1/x) − ∫ -9x dx / (x² + 1)
=> 9[x arctan(1/x) - ∫ - x / (1 + x²) * dx] on the interval x[ from 1 to √3 ]
Let's now simplify the expression ' ∫ - x / (1 + x²) * dx':
=> (Take the constant out, in this case constant = - 1), - ∫ x / (1 + x²) * dx
=> (Apply u-substitution, where u = 1 + x²), - ∫ 1/2u * du
=> (Take constant out again, in this case 1/2), - 1/2 ∫ 1/u * du
=> (Remember that 1/u * du = In( |u| )), - 1/2In( |u| )
=> (Substitute back 'u = 1 + x²), - 1/2In| 1 + x² |
So now we have the expression '9[x arctan(1/x) + 1/2In| 1 + x² |]' on the interval x[ from 1 to √3 ]. Let's further simplify this expression;
[tex]9\left[x\arctan \left(\frac{1}{x}\right)+\frac{1}{2}\ln \left|1+x^2\right|\right]^{\sqrt{3}}_1\\\\=> 9\left[\frac{1}{2}\left(2x\arctan \left(\frac{1}{x}\right)+\ln \left|1+x^2\right|\right)\right]^{\sqrt{3}}_1[/tex]
Now computing the boundaries we have the following answer:
[tex]9\left(\frac{1}{2}\ln \left(2\right)-\frac{\pi }{4}+\frac{\pi }{2\sqrt{3}}\right)[/tex]
Suppose 7 quarters, 4 dimes, 4 nickels, and 3 pennies are in a box. One coin is selected at random. What is the expected value of the money drawn from the box?
First, let's get the total amount of coins inside the box.
7 quarters + 4 dimes + 4 nickels + 3 pennies = 18 total coins.
(7 quarters / 18 coins) * 100 = 38.89% chance of picking a quarter
(4 dimes / 18 coins) * 100 = 22.22% chance of picking a dime
(4 nickels / 18 coins) * 100 = 22.22% chance of picking a nickel
(3 pennies / 18 coins) * 100 = 16.67% chance of picking a dime
Since the quarters have a higher percentage of being picked, we can expect to draw $0.25 from the box
357,335 rounded to the nearest ten357,335 rounded to the nearest ten
Answer:
357,340
Step-by-step explanation:
Locate the tens place:
357,335
Check the number to the right:
357,335
If the number is greater than or equal to 5, then we round up. If the number is less than or equal to 4, we round down.
The number next to the tens place is a '5'. We round up.
357,335 ≈ 357,340
Hope this helps.
Answer:
357340
Step-by-step explanation:
Evaluate –32 + (2 – 6)(10)
Answer:
-72
Step-by-step explanation:
-32 + (2-6)(10)
-32 + (-4)(10)
-32 + -40
-72
Answer:
-72
Step-by-step explanation:
Use PEMDAS and solve from left to right.
2 - 6 = -4
Parenthesis means multiplication.
-4 x 10 = -40
Then you add the negatives.
-32 + -40 or
-32 - 40 = -72
Peter leaves Mitchell's house traveling 30 mph. Mitchell leaves 15 min later, trying to catch up to peter, going 40 mph. if they drive along the same route, how long will it take Mitchell to catch Peter?
Answer:
45 minutes
Step-by-step explanation:
At 30 mph for 1/4 hour, Peter has a 7.5 mile head start. After he leaves, Mitchell closes that gap at the rate of 40-30 = 10 miles per hour. It will take him ...
t = d/s
t = (7.5 mi)/(10 mi/h) = 0.75 h
to catch Peter.
Mitchell will catch Peter in 45 minutes.
__
Alternate Solution
Another way to look at it is that Mitchell's 10 mph advantage is 1/3 of Peter's speed, so it will take 1/(1/3) = 3 times the period of Peter's head start:
3 × 15 minutes = 45 minutes . . . for Mitchell to catch Peter
_____
You can write equations involving time and distance and see where the distances traveled become the same. You need to be careful choosing the time reference, since you're concerned with Mitchell's travel time. I personally prefer to work "head start" problems by considering the differences in time and speed, as above. This is where you end up using the equations approach, anyway.
integral of x+2/
[tex] \sqrt{x { + 2x + 3}^{2} } [/tex]
Looks like the integral should be
[tex]\displaystyle\int\frac{x+2}{\sqrt{x+(2x+3)^2}}\,\mathrm dx[/tex]
Expand the denominator:
[tex]\displaystyle\int\frac{x+2}{\sqrt{4x^2+13x+9}}\,\mathrm dx[/tex]
Notice that
[tex]u=4x^2+13x+9\implies \mathrm du=(8x+13)\,\mathrm dx[/tex]
In order to use this substitution, expand the integral as
[tex]\displaystyle\frac18\int\frac{8x+13}{\sqrt{4x^2+13x+9}}\,\mathrm dx+\frac38\int\frac{\mathrm dx}{\sqrt{4x^2+13x+9}}[/tex]
In the first integral, use the previously mentioned substitution:
[tex]\displaystyle\frac18\int\frac{8x+13}{\sqrt{4x^2+13x+9}}\,\mathrm dx=\frac18\int\frac{\mathrm du}{\sqrt u}=\frac14\sqrt u[/tex]
[tex]=\dfrac14\sqrt{4x^2+13x+9}[/tex]
In the second integral, complete the square in the denominator:
[tex]4x^2+13x+9=4\left(x+\dfrac{13}8\right)^2-\dfrac{25}{16}[/tex]
Now substitute
[tex]x=\dfrac58\sec t-\dfrac{13}8\implies\mathrm dx=\dfrac58\sec t\tan t\,\mathrm dt[/tex]
so that
[tex]\sec t=\dfrac{8x+13}5[/tex]
Then
[tex]4x^2+13x+9=\dfrac{25}{16}(\sec^2t-1)=\dfrac{25}{16}\tan^2t[/tex]
and the integral becomes
[tex]\displaystyle\frac{\frac{15}{64}}{\frac54}\int\frac{\sec t\tan t}{\sqrt{\tan^2t}}\,\mathrm dt=\frac3{16}\int\sec t\,\mathrm dt[/tex]
[tex]=\dfrac3{16}\ln|\sec t+\tan t|[/tex]
[tex]=\dfrac3{16}\ln\left|\dfrac{8x+13}5+\dfrac{\sqrt{(8x+13)^2-25}}5\right|[/tex]
So, the integral is
[tex]\dfrac14\sqrt{4x^2+13x+9}+\dfrac3{16}\ln\left|\dfrac{8x+13}5+\dfrac{\sqrt{(8x+13)^2-25}}5\right|+C[/tex]
Can somebody help me and show yo work please
Answer:
17
Step-by-step explanation:
A= 5 B= 3 C=4
Substitute each number to the right letter
4 + (5^2 + 3) -15
Square 5
4 + (25 + 3) -15
Do parentheses first
4 + 28 - 15
32 - 15
Answer = 17
The graph of y = |x-1|+7 is reflected across the y-axis and then translated up 1 unit. What is an equation of the transformed graph?
The original equation: y = |x - 1| + 7
The new equation: y = |-x - 1| + 8
solve each inequality -3x<12
Answer:
-3x<12
/-3 /-3
x<-4
Step-by-step explanation:
A store offers customers a 40% discount on the price of x of selected items. Then, the store takes off an additional 16% at the cash register. Write a price function P(x) that computes the final price of the item in terms of the original price x.
P(x) = ?
Answer:
x-40%-16%
Step-by-step explanation:
Which is equivalent to 2x(+7)18x+4/5
Answer:
-16x +[tex]14 4/5
Step-by-step explanation:
could you help me answer this for a friend
Answer:
The correct option is option C(SAS) as there are 2 angles and 1 common side(BC) used to prove the triangles congruent..True or false 16.-84.-184-284 is an arithmetic sequence?
O True
O False
Answer:
false
plz tell me if im wrong i hope i helped
10 times as much as blank hundred is 70 hundreds or blank thousands
Answer:
10 times as much as 7 hundred is 70 hundreds or 7 thousands.
Step-by-step explanation:
The question given is:
10 times as much as _____ hundreds is 70 hundreds or _____ thousands.
Dividing the question into two fractions, we have:
10 times what is 70 hundreds?
What is 70 hundreds in thousands?
10 x 7 hundred = 10 x 700 = 70 hundreds
Recall that 70 hundreds = 70 00
70 hundreds = 70 00 = 7 thousands = 7 000
Therefore, the question can be written as:
10 times as much as 7 hundreds is 70 hundreds or 7 thousands.
Tom has cases of soda. If there are 12 cans in a case, how many cans does tom have?
Answer:54
4 1/2times 12
Convert 4 1/2 to an improper fraction.
9/2 times 12
Cancel the common factor of 2
9 times 6
Multiply
9 by 6 the you'll get 54
Random sampling eliminates_____
in choosing a sample.
Answer:
bias by giving all individuals
Step-by-step explanation:
Answer:
Hey!
I think your answer should definitely be BIAS
Step-by-step explanation:
Picking a choice RANDOMLY removes the likelihood of the person picking BEING BIASED as they have no view / analysis of the options!
I HOPE THIS HELPS!!