Answers
Answer:
Step-by-step explanation:
{ first do the operation which is inside parenthesis, then division, multiplication, subtraction and addition}
3* (9-5) - 3*2 = 3* 4 - 3*2
= 12 - 6 = 6
(16-8) / (4-2) = 8 / 2 = 4
3* (9-5) - 3*2 > (16-8) / (4-2)
Related Questions
Question 18 of 25
4 Points
A group of professional wrestlers are known to have weights that are normally
distributed with a mean of 265 lbs. and a standard deviation of 28 lbs. To the
nearest pound, what is the least amount one of these wrestlers could weigh
and still be in the top 10% of all weights?
O
A. 298 lbs.
300 lbs.
301 lbs.
OOOO
297 lbs.
E. 299 lbs.
Answers
Answer: 301
Step-by-step explanation:
the least amount one of the wrestlers could weigh is 301.
What is standard deviation?The term standard deviation refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
Given that,
Mean μ = 265,
Standard deviation σ = 28 lbs.
Let the least amount one of the wrestlers could weigh is x.
To find x such that P(X≥x) = 0.10
1 - P(X<x) = 0.10
P(X<x) = 1 - 0.10
P(X<x) = 0.90
z for area = 0.90 in equal to 1.28 in statistical table,
z = 1.28
Use formula, to find the value of x,
x = μ + z × σ
x = 265 + 1.28 × 28
x = 265 + 35.84
x = 300.84
x = 301(Rounded to the nearest integer)
The required value of x is 301.
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what is the volume of the prism
Answers
Answer:
48 units cubed
Step-by-step explanation:
length × height × width
4 × 6 × 2 = 48
A sequence is defined by the recursive function f(n + 1) = one-halff(n). If f(3) = 9 , what is f(1) ?
Answers
Answer:
d.) 81
Step-by-step explanation:
f(2) would be 27 and 27x3 is 81.
81/3=27
27/3=9
Answer:
81
Step-by-step explanation:
For the recursive function, f(n+1) = one-half(n)
Thus, when n = 2,
f(3) = 9
If n = 1,
f(2) = 9×3
f(2) = 27
If n = 0,
f(1) = 27 ×3
f(1) = 81
Hank Wants to divide 345 pieces of construction paper evenly among his 23 classmates. How many pieces will be left over?
Answers
Answer:
There will be no pieces of paper left over. Each student will receive 15 pieces of paper.
Step-by-step explanation:
If you divide the 345 pieces of paper between the 23 classmates, you will end up with 15. There is no remainder or decimal, just 15, a whole number. That means that there will be no pieces of paper left over.
the radius,r, of a sphere is increasing at a constant rate of 0.05 meters per second.
A. At the time when the radius of the sphere is 12 meters, what is ther rate of increase in its volume?
B. At the time when the volume of the sphere is 36pi cubic meters, what is the rate of increase in its surface area?
C. Express the rate at which the volume of the sphere changes with respect to the surface are of the sphere (as a function of r)
Please include steps. Thanks so much!
Answers
Answer:
A. 90.5 cubic meters pet second.
B. 3.77 square meters per second.
C. [tex]\frac{dV}{dS} = \frac{r}{2}[/tex]
Step-by-step explanation:
The radius of a sphere is increasing at a constant rate of 0.05 meters per second.
Therefore, [tex]\frac{dr}{dt} = 0.05[/tex] ......... (1)
A. Now, volume of the sphere is given by
[tex]V = \frac{4}{3}\pi r^{3}[/tex]
Now, differentiating both sides with respect to t we get,
[tex]\frac{dV}{dt} = \frac{4}{3}\pi (3r^{2}) \frac{dr}{dt} = 4\pi r^{2} \frac{dr}{dt}[/tex]
Then at r = 12 meters, the rate of increase in volume will be
[tex]\frac{dV}{dt} = 4 \times (\frac{22}{7}) \times 12^{2} \times 0.05 = 90.5[/tex] cubic meters pet second. {From equation (1)}
B. When the volume of the sphere is 36π cubic meters, then
[tex]\frac{4}{3}\pi r^{3} = 36\pi[/tex]
⇒ [tex]r^{3} = 27[/tex]
⇒ r = 3 meters.
Now, surface area of a sphere is given by
S = 4πr² .......... (2)
Differentiating both sides with respect to time (t) we get,
[tex]\frac{dS}{dt} = 8\pi r\frac{dr}{dt} = 8 \times (\frac{22}{7}) \times 3 \times 0.05 = 3.77[/tex] square meters per second. {From equation (1)}
C. Now, [tex]V = \frac{4}{3}\pi r^{3}[/tex] and S = 4πr²
⇒ [tex]V = \frac{1}{3} (4\pi r^{2})r = \frac{Sr}{3}[/tex]
Now, differentiating with respect to S both sides we get,
[tex]\frac{dV}{dS} = \frac{r}{3} + \frac{S}{3} \frac{dr}{dS}[/tex] ......... (3)
Now, we have, S = 4πr²
Differentiating with respect to S both sides, we get
[tex]1 = 8\pi r\frac{dr}{dS}[/tex]
⇒ [tex]\frac{dr}{dS} = \frac{1}{8\pi r }[/tex] ......... (4)
Now, from equations (2), (3) and (4) we get,
[tex]\frac{dV}{dS} = \frac{r}{3} + \frac{4\pi r^{2} }{3} \times \frac{1}{8\pi r }[/tex]
⇒ [tex]\frac{dV}{dS} = \frac{r}{3} + \frac{r}{6}[/tex]
⇒ [tex]\frac{dV}{dS} = \frac{r}{2}[/tex] (Answer)
Question:
C. Express the rate at which the volume of the sphere changes with respect to the surface are of the sphere (as a function of r)
Step-by-step explanation:
Here's how you solve part C of this question.
Start with what you know:
dV/dt = 4pir^2 x (dr/dt)
(dr/dt) = 0.05
S(r) = (Surface Area) = 4pir^2
So, since S(r) is equal to 4pir^2, we replace 4pir^2 with S(r). We also know that (dr/dt) = 0.05, so we replace (dr/dt) with 0.05.
Now the equation should look like this:
dV/dt = 0.05 x S(r) <----- (your answer).
Hope this helped!! :)
Determine whether the given equation has one solution, no solution, or infinitely many solutions. 2/3x = 9 - 2(-1/3x + 3)
infinitely many solutions
no solution
cannot be determined
one solution
Please show me how you get your answer so I can answer the rest of these questions, thanks. xx
Answers
Final answer:
The given equation has no solution because it leads to a contradiction.
Explanation:
To determine whether the given equation has one solution, no solution, or infinitely many solutions, we need to simplify the equation and see if it leads to a contradiction or identity. Simplifying the equation:
2/3x = 9 - 2(-1/3x + 3)
We can start by distributing the -2 to (-1/3x + 3):
2/3x = 9 + 2/3x - 6
Combining like terms:
2/3x - 2/3x = 9 - 6
0 = 3
Since we have a contradiction (0 cannot equal 3), there is no solution to the equation. Therefore, the correct answer is no solution.
HELPPPPPPPP MEEEEE PLZZZZZ
Answers
Answer:
Let's find out!
Step-by-step explanation:
15 ounces / 2.49 dollars
≈ 6.024 ounces per dollar
20 ounces / 3.32 dollars
≈ 6.024 ounces per dollar
Your answer is:
C) The unit rates are equal
The amount of ounces per dollar is the same, so your answer MUST be C).
Answer:
C) The unit rates are equal.
Step-by-step explanation:
a circular piece of glass has a radius of 8.0 meters. the glass sells for 4.50 per square meter. what is the total cost of the circular piece of glass
PLEASE HELP WILL MARK BRAINYIST
Answers
Answer:
Total price of the glass is = $904.78
Step-by-step explanation:
Let's start by finding what is the surface area (in square meters) of the circular piece of glass. The information we have is that the radius of it is 8.0 meters. So we recall the formula for the area of the circle in terms of its radius (the product of the number [tex]\pi[/tex] times the square of the circle's radius):
Area of circle = [tex]\pi \,r^2[/tex]
Therefore, since the circle we need to investigate has radius 8 meters, the formula now becomes:
Area of circle = [tex]\pi \,r^2=\pi\,\,(8\,m)^2=201.062\,m^2[/tex]
Now, since they charge the glass per square meter ($4.50 per square meter), we just multiply the number of square meters we found for the glass' surface times the price per square meters, and get:
Total price = $4.50 * 201.062 = $904.78
8. What is the slope of a line perpendicular to
the line y = -3x - 2
Answers
Answer:
1/3
Step-by-step explanation:
The slope of a line in slope-intercept form, y=mx+b, is m.
This means the slope of y=-3x-2 is -3.
If a line is perpendicular to the one given, it will have the opposite reciprocal slope.
The opposite of -3 is 3.
The reciprocal of 3 is 1/3.
Therefore, the opposite reciprocal of -3 is 1/3.
Fill in the blank: 3 * _ = 1
Answers
Answer:
1/3
Step-by-step explanation:
If your speed limit was 70 miles a an hour how long will it take you to travel 140 miles with no traffic
Answers
It will take you 2 hours since ur going 70 mph divide the 140 mph by 70mph . Hope this helps :)
Joanie is making a map of the trails in the community park . Two of the trails start at the same point and a forty degree angle.Use a protracter to draw the angle that Joanie will use on her map
Answers
Answer:
Draw a line on you paper, go to the start of the line and place your Protractor. Look for the 40 degree mark and place a little slash there. Take away the protractor and draw a line going through the slash. (Use a ruler too)
Step-by-step explanation:
For this you need a protractor
Joanie used a protractor to draw the angle 40° that Joanie will use on her map can follow the steps provided here.
What is an angle?An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.
Steps of Construction:
1. Draw ∠BAC=40° using protractor. By taking A as Centre draw an arc which cuts AB and AC at P and Q.
2. Now take O as centre on another line segment EF and taking the same radius PQ draw an arc which cuts OF at R. Now again take R as Centre and draw the arc which cut at S.
3. Join O to S which is the required ∠ROS=40°.
Therefore, Joanie used a protractor to draw the angle 40° that Joanie will use on her map can follow the steps provided here.
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-13(6x-15)+6x>8x-11 Solve.
Answers
Answer:
x<103/40
Step-by-step explanation:
-13(6x-15)+6x>8x-11
-78x+195+6x>8x-11
-78x-8x+6x+195>-11
-78x-2x>-11-195
-80x>-206
80x>206
x>206/80
x>103/40
x<103/40
Which equation represents the line that passes through the points (-3,-3) and (12,2)?
Answers
Answer:
[tex]\displaystyle x - 3y = 6\:OR\:y = \frac{1}{3}x - 2[/tex]
Step-by-step explanation:
First, find the rate of change [slope]:
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{3 + 2}{3 + 12} = \frac{5}{15} = \frac{1}{3}[/tex]
Then plug these coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula since you get it swiftly that way. It does not matter which ordered pair you choose:
2 = ⅓[12] + b
4
[tex]\displaystyle -2 = b \\ \\ y = \frac{1}{3}x - 2[/tex]
If you want it in Standard Form:
y = ⅓x - 2
- ⅓x - ⅓x
_________
−⅓x + y = −2 [We do not want fractions in our standard equation, so multiply by the denominator to get rid of it.]
−3[−⅓x + y = −2]
[tex]\displaystyle x - 3y = 6[/tex]
_______________________________________________
−3 = ⅓[−3] + b
−1
[tex]\displaystyle -2 = b \\ \\ y = \frac{1}{3}x - 2[/tex]
If you want it in Standard Form:
y = ⅓x - 2
- ⅓x - ⅓x
_________
−⅓x + y = −2 [We do not want fractions in our standard equation, so multiply by the denominator to get rid of it.]
−3[−⅓x + y = −2]
[tex]\displaystyle x - 3y = 6[/tex]
** You see? I told you it did not matter which ordered pair you choose because you will always get the exact same result.
I am joyous to assist you anytime.
Rayville Elementary sponsors a math competition for 78 students. During the competition, the students work a total of 8,970 math problems in 4 hours. Each student works the same number of problems. How many problems does each student work?
Answers
Each student worked on 115 math problems.
Step-by-step explanation:
Given,
Problems solved in 4 hours = 8970
Number of students in competition = 78
As each student solved same number of problems, we will divide the total problems solved by number of students to find the amount of problems solved by one student.
Problems solved by one student = [tex]\frac{8970}{78}[/tex]
Problems solved by one student = 115
Each student worked on 115 math problems.
Keywords: division
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Each student works 115 problems.
Explanation:
I'm going to copy and paste the question here, and bold important info.
"Rayville Elementary sponsors a math competition for 78 students. During the competition, the students work a total of 8,970 math problems in 4 hours. Each student works the same number of problems. How many problems does each student work?"
Now everything not bolded? Forget about it. All you need to know is that there are 78 students. They all do 8,970 # of problems. And all the students do the same amount. Now you just have to divide the # of probs. by the amount of students in the competition, and you have your answer.
8970÷78=115
Hope that helped!
simplify the expression-
4+ -9r–1
Answers
Answer: -9r+3
Step-by-step explanation:
In order to simplify this expression, all you have to do is combine the like terms. However, because there is an addition and a subtraction sign next to each other, we have to multiply them together to find which sign will stay.
Positive x Positive = Positive
Positive x Negative = Negative <---
Negative x Negative = Positive
Because we know that multiplying a negative sign by a positive sign will give us negative, we have to keep the subtraction sign and remove the addition sign. This leaves us with 4-9r-1. All that is left to do is simplify.
Combine the like terms: 4-1 = 3
Answer: -9r+3
Hope this helps!
Answer:
-9r + 3.Step-by-step explanation:
Group Like Terms:
A: -9r + 4 - 1,
Add/Subtract numbers:
A: -9r + 3.If you have any questions feel free to comment below.
Best of Luck to you.
Three of these expressions give the distance between point A and point B on the number line
Which expression does NOT
A. |7.4-3.5|
B. |7.5+3.5|
C. |- 3.5-7.5|
D. |7.5-(-3.5)|
Answers
Answer:
Option A does not give the right expression.
Step-by-step explanation:
On the number line if there are two points P(a) and Q(b) given by coordinates a and b, then the distance between those two points will be given by
d = |a - b| ......... (1)
which is independent of the position of the points.
Therefore, if point A is at - 3.5 and point B is at 7.5, then the distance between point A and point B will be given by |7.5+3.5| or |- 3.5-7.5| or |7.5-(-3.5)|, but not by |7.4-3.5|.
Hence, option A does not give the right expression. (Answer)
which expression is equivalent to the pic
Answers
Answer:
OPTION A: [tex]$ \frac{1}{2^{15}} $[/tex]
Step-by-step explanation:
We should know that:
[tex]$ (a^b)^c = a^{b . c} $[/tex]
So, [tex]$ (2^3)^{-5} = 2^{3 . (-5)}} $[/tex]
[tex]$ = 2^{-15} $[/tex]
This is equivalent to [tex]$ \frac{1}{2^{15}} $[/tex]
Hence, OPTION A is the answer.
Write an inequality with x on both sides whose solution is x is greater than or equal to 2
Answers
Answer:
3x ≥ 2 + 2x
Step-by-step explanation:
Given:
[tex]x\geq 2[/tex]
Solution:
Now, we have to write an inequality with x on both sides whose solution is x is greater than or equal to 2.
[tex]x\geq 2[/tex]
Now we add 2x on both side.
[tex]x + 2x\geq 2 + 2x[/tex]
[tex]3x\geq 2 + 2x[/tex]
Therefore, the inequality which has a solution x ≥ 2 is:
3x ≥ 2 + 2x
An advertisement for the state fair will be painted on one of four silos along the highway into town. The silos are in the shape of cylinders. Only the lateral area of the silo will be painted, not the top and bottom. If it costs $1.20 per square foot to paint the sides of the silo, which silo will cost the least to paint?
Recall the formula LA=2 pi rh.
A. Silo A
B. Silo B
C. Silo C
D. Silo D
Answers
===============================================
How I got that answer:
r = radius
h = height
LA = lateral surface area of cylinder
LA = 2*pi*r*h
Let's find the lateral surface area of each silo. The smallest lateral surface area will lead to the lowest total cost.
-------------
Silo A
LA = 2*pi*r*h
LA = 2*pi*6*60
LA = 720pi
-------------
Silo B
LA = 2*pi*r*h
LA = 2*pi*8*50
LA = 800pi
-------------
Silo C
LA = 2*pi*r*h
LA = 2*pi*10*34
LA = 680pi
-------------
Silo D
LA = 2*pi*r*h
LA = 2*pi*12*20
LA = 480pi
-------------
If we ignore the "pi" terms for each of the four answers above, we see that 480 is the smallest value. Silo D has the smallest lateral surface area at 480pi square feet.
-------------
Side note: to determine the total cost, you multiply the surface area by the cost per square foot ($1.20)
For example, the total cost to paint silo D is
cost = (surface area)*(price per square foot)
cost = (480*pi)*(1.20)
cost = 1809.557
cost = 1809.56
This section is optional as your teacher isnt requiring you to find the actual costs, but rather just the silo with the least amount of area. You could go the longer route to find each surface area, compute the total cost, and then compare the total costs. You should find that silo D's cost is the lowest.
The roots of a quadratic equation are -7 and 1. Write an equation that could represent this function. Give your answer in standard form and factored form.
Answers
Step-by-step explanation:
equation -
(X+7) (x-1) =0
equation = x2 -x -7x -7 = x2 -8x -7
standard form = x2 -8x -7
factor form = (x+7) (x-1)
I need help with 21 please
Answers
when rounding up, decimals tend to lose accuracy, thus the rounding, due to that, fractions will always be the most accurate to represent the value, but let's go ahead
3/5 = 0.6 <- rounded up to one decimal
3/4 = 0.75
= 0.8 <- rouned up to one decimal as well
if we add them up 0.6 + 0.8 = 1.4.
[tex]\bf \cfrac{3}{5}+\implies \cfrac{3}{4}\implies \stackrel{\textit{using an LCD of 20}}{\cfrac{(4)3+(5)3}{20}}\implies \cfrac{12+15}{20}\implies \cfrac{27}{20} \\\\\\ 1.35\implies \stackrel{\textit{rounded up}}{1.4}[/tex]
in this case, rounding up each result to 1 decimal, we end up with the same value, mind you that the instructions never said to round it to a certain amount of decimal places, if we do round it to two decimal places, the value will be 1.35 for both cases, and accurate on each.
In a central city Grand Prix, out of the 30 cars that started the race 16 of them finished. What percent of the cars finished the race.
Answers
Answer:
53.33%
Step-by-step explanation:
(16/30)*100=0.5333333333*100=53.33%
Answer:53.3%
Step-by-step explanation:
What is the area of the shaded triangle?
8mm 10mm 31mm 6mm 24mm
Answers
Answer: 96mm²
Step-by-step explanation:
c=31 mm
m=6mm
b=8mm
d=10mm
l=24 mm
-----------------------
c=31 mm
a=24+6=30 mm
b=8mm
A of ΔM=30*8/2=
120 mm²
A of ΔS=b*m/2=8*6/2=24mm²
Area od shaded triangle is=area of ΔM-area ofΔS=120-24=96mm²
A $40.00 skateboard is discounted 30%. If sales tax is 5%, what is the amount of tax paid?
$0.20
$0.40
$1.40
$2.00
Answers
Answer:
$1.40
Step-by-step explanation:
40 times 30% = 28 because 30% of 40 is 12 so 40-12 =28
28 times .05= 1.40 which is the tax of the final total
Answer:140
Step-by-step explanation:
what is p? 4 1/2 + p = -5 3/4
Answers
Answer:
P = -[tex]\frac{41}{4}[/tex] or -10 [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
"What is p? 4 1/2 + p = -5 3/4" was the question you have asked
So basically, in this equation we are looking for what the variable, P, is.
We already know that P plus 4[tex]\frac{1}{2}[/tex] equals -5[tex]\frac{3}{4}[/tex].
Now here's how you solve it:
So when trying to find the value a variable has, you should use inverse operations. What are inverse operations? Well let's look at this example:
453-T=56
How you would solve this is that you would subtract 56 from 453, removing 56 on the other side by subtracting it from the other side. *When performing inverse operations you always do it on BOTH sides*
We subtracted because 56 is positive and when performing operations on both sides of an equation, you do the inverse operation in both which in this case is to subtract.
453-T=56
-56 -56
↓
397-T=0
Now you may wonder 'What now? The other side is just 0! That didn't solve for T.' This is true. We have not solved for T just yet. But after this we will
397-T=0
+T +T
↓
397 = T
Tada! T is solved! We added T to both sides as T was negative and the opposite of negative is positive.
There are a few other ways to solve this equation like for example you could of subtracted 453 from both sides instead and have made it look like this:
453-T=56
-453 -453
↓
-T = -397
(Multiply both sides by negative 1 to make the -T and the -397 positive)
-1 (-T) = (-397) -1
↓
T = 397
----------------------------
Now that we've explained the basics of how that works let's now *actually* solve the problem:
4 1/2 + p = -5 3/4
-4 1/2 -4 1/2
↓
P = -41/4
(4 1/2 is positive so the inverse operation was to subtract)
(A negative number subtracted by a negative number is a negative number that is even more negative than before)
--
ITS DONE!
Anyways let's check the equation to make sure it is right!
This is not needed but it is helpful to know how to check when you doubt that the value you got for a variable is correct.
You check by simply just pluging in the number you got into the variable and solving the equation to see if makes sense.
Here is how you would check this:
4 1/2 + p = -5 3/4
becomes
4 1/2 -[tex]\frac{41}{4}[/tex] = -5 3/4
subtract 41 fourths from 4 1/2
[tex]\frac{18}{4}[/tex]-[tex]\frac{41}{4}[/tex]= -[tex]\frac{23}{4}[/tex]
↓
-[tex]\frac{23}{4}[/tex] = -[tex]\frac{23}{4}[/tex]
Because the sides are equal, it is correct!
So, P = -[tex]\frac{41}{4}[/tex] or -10 [tex]\frac{1}{4}[/tex]
The value of p in the given algebraic equation 4 1/2 + p = -5 3/4 is -10.25. This is found by isolating p.
Explanation:To resolve this algebraic equation, you need to subtract 4 1/2 (which is 4.5 in decimal form) from each side of the equation, in order to isolate p. Hence, the equation then becomes p = -5 3/4 - 4 1/2.
First, convert -5 3/4 and 4 1/2 to decimal form. -5 3/4 becomes -5.75 and 4 1/2 becomes 4.5.
Secondly, subtract 4.5 from -5.75. Therefore, p is equal to -5.75 - 4.5 = -10.25.
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How do I solve 9.03 - 4.09
Answers
Answer:
4.94
Step-by-step explanation:
Subtract
9.03 - 4.09 = 4.94
Hope this helps :)
Answer:
4.94
Step-by-step
9.03 - 4.09= 4.94
Duante's bedroom is a rectangular prism. The area of the floor is 90 square feet, and the height of the bedroom is 12 feet. What is the volume of Duante's bedroom?
Answers
The volume of Duante's bedroom is 1080 cubic feet.
Given that, the area of the floor is 90 square feet, and the height of the bedroom is 12 feet.
What is a rectangular prism?A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same.
Volume of a rectangular prism = Area of a base × Height.
Here, volume of a rectangular prism = 90 × 12
= 1080 cubic feet
Therefore, the volume of Duante's bedroom is 1080 cubic feet.
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Which of the following in equivelant to the radicao expression below when x>0?
√12x^3÷√6x
A. √6x
B. X√6
C.√2x
D.x√2
Please explain it too!!!
Answers
√12x^3÷√6x
Factor 6 out of both the numerator and denominator:
√2x^3÷√x
Cancel out common factors to get:
√2x^2
Pull the terms out from under the radical to get:
D. x√2
prime factorization of 72
Answers
Answer:2³*3²
Step-by-step explanation: