Answer:
[tex]2.42\,oz \leq m_{real} \leq 2.58\,oz[/tex]
Step-by-step explanation:
The inequality must be the absolute value of the difference between real mass and ideal mass less or equal to 0.08 ounces. That is to say:
[tex]|m_{real} - m_{ideal}| \leq 0.08\,oz[/tex]
[tex]|m_{real} - 2.5\,oz| \leq 0.08\,oz[/tex]
There are two extreme cases:
[tex]m_{real,max} - 2.5\,oz = 0.08\,oz[/tex] and [tex]m_{real, min} - 2.5\,oz = -0.08\,oz[/tex]
[tex]m_{real, max} = 2.58\,oz[/tex] and [tex]m_{real,min} = 2.42\,oz[/tex]
Range of chocolate masses must be:
[tex]m_{real, min} \leq m_{real} \leq m_{real,max}[/tex]
[tex]2.42\,oz \leq m_{real} \leq 2.58\,oz[/tex]
Find the product of 2x4(2x2 + 3x + 4).
Answer:
64+24x
Step-by-step explanation:
first multiply 2 and 4
(inside the parenthesis)Combine like terms, 4 &4
Distribute the outside 8 to 8 and 3x
8(8)= 64
3(3x)=24x
Answer: 4x^6+6x^5+8x^4
Step-by-step explanation:
2x^4 (2x^2+3x+4)
=(2x^4)(2x^2+3x+4)
=(2x^4)(2x^2)+(2x^4)(3x)+(2x^4)(4)
=4x^6 + 6x^5 +8x^4
Solve: 3(24-1) - 20= 4(0-2) + 5
Infinitely many
solutions
No solution
Answer:
The equality is false.
Step-by-step explanation:
[tex]3(24-1) - 20= 4(0-2) + 5[/tex]
[tex]3(23) - 20= 4(-2) + 5[/tex]
[tex]69 - 20= -8 + 5[/tex]
[tex]49= -3[/tex]
[tex]49\neq -3[/tex]
Find the solutions to the system of equations algebraically.
x2 + y2 = 25
y = -2x + 5
Answer:
x = 0 or x = 4
Step-by-step explanation:
x² + y² = 25 and y = -2x + 5
Here,
x² + y² = 25 ...(1)
Now,
Put the value of y = -2x + 5 in equation (1)
we get,
x² + (-2x + 5)² = 25
x² + {(-2x)² + 2(-2x) (5) + (5)²} = 25
x² + {4x² - 20x + 25} = 25
x² + 4x² - 20x + 25 = 25
5x² - 20x = 25 - 25
5x² - 20x = 0
5x(x - 4) = 0
5x = 0 or x - 4 = 0
x = 0/5 or x = 4
x = 0 or x = 4
Answer:
x = 0, x = 4
Step-by-step explanation:
I hope its helpful
PLEASE PLEASE HELP PLEASE THANK YOU I REALLY NEED IT PLEASE !!!! This table shows values represented by an exponential function What is the average rate of change for this function for the interval from x=1 to x=3 A)12 B)6 C)24 D)9
Answer:
It seems to be D)9 from intervals 1 to 3...
Step-by-step explanation:
Can't really explain that well, but the rate of change in an exponential function should always be decreasing or increasing. Instead of it being constant like a linear equation.
I.E. Not additive, instead to find it we need to divide.
[tex]\frac{27}{3} =9[/tex]
So, it should be 9. However, It does not seem to be maintained for the values after 3. Oh well!
Hope this helps!
The average rate of change of the function is 12.
What is the rate of change?The rate of change function represents the rate at which one quantity changes in relation to another. Simply put, the rate of change is the difference between the amount of change in one item and the comparable amount of change in another.
Rate of change = [ y₂ - y₁ ] / [ x₂ - x₁ ]
The rate of change for x₁ = 1 to x₂ = 3 at x₁ = 1 ,y₁ = 3 and at x₂= 3, y₂ = 27.
Rate of change = [ y₂ - y₁ ] / [ x₂ - x₁ ]
= [ 27 - 3 ] / [ 3 - 1 ]
= [ 24 / 2 ]
= [ 12 ]
Hence, the correct option is A.
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Connor (is not or is) correct because the rate of water flowing is (greater than or less than or equal to) the slope. Water is flowing at a rate that is (greater than or equal to or less than) 2 gallon per minutes
HELP ME PLZZZZZZZZZZZZZZZ
Answer:
C
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (4, 2) ← 2 points on the line
m = [tex]\frac{2-0}{4-0}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex] → C
The slope indicates the rate of change.
Thus the water is flowing at [tex]\frac{1}{2}[/tex] gallon per minute
Answer:
C
Connor is not correct because the rate of water flowing is equal to the slope. Water is flowing at a rate that is less than 2 gallon per minutes
Step-by-step explanation:
Part A
from the graph we can see (0, 0), (2, 1), (4, 2)
y=1/2x, slope is 1/2
option C
Part B
Connor is not correct because the rate of water flowing is equal to the slope. Water is flowing at a rate that is less than 2 gallon per minutes
If ladders are difficult to use for high floors, what are some other options? What is the
level of safety of each of your options? Explain using mathematical facts.
Answer:
Elevators, stairs and ramps.Step-by-step explanation:
Elevators are a safer way that using a ladder, or any other option, because it has really good foundations, so you won't fall, and it has a floor which you can stand on safely.
Stairs are also safer than ladders, because you can have more estability on the surface, preventing any falls.
At last, ramps are also safer than ladders, but less safe than elevators or stairs, because they have an inclined surface, so you can slide.
Now, if we analyse these four options, we can say that their difference is about the frictional surface each of them have, and the null slope some of them have. For example, a ladder is dangerous, because you don't enough surface to step on, also, the friction of its surface is lower, that means you can easily fall. But, elevators, stairs and ramps have greater coefficient of friction on their surface, and also, they have a greater surface area.
What kinds of quadrilateral is the shape shown ?
The matching arrow labels indicate that two opposite sides are parallel.
Answer:
parallelogram&Rectangle
Step-by-step explanation:
.
The given figure is a parallelogram and a rectangle.
Options A and C are the correct answer.
What is a parallelogram?A parallelogram is a quadrilateral that has two pairs of parallel sides.
In a parallelogram, opposite sides and angles are equal.
The adjacent angles add up to 180 degrees.
We have,
The given figure has two pairs of parallel sides.
A rectangle is a quadrilateral that has two pairs of parallel sides.
A parallelogram is a quadrilateral that has two pairs of parallel sides.
Thus,
The given figure is a parallelogram and a rectangle.
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Solve the following:
a) 4x – 3 = 2x + 7
b) 2x + 6 = 7x - 14
Answer:
a) x = 5
b) x = 4
Step-by-step explanation:
a) 4x - 3 = 2x + 7 collect like terms
4x - 2x = 7 + 3
2x = 10 divide both sides by the coefficient of x
x = 5
b) 2x + 6 = 7x - 14 collect like terms
2x - 7x = -14 - 6
-5x = -20 divide both sidess by the coefficient of x
x = 4
Find the distance between the pair of points given on the graph.
Answer:
see below
Step-by-step explanation:
The line segment is the hypotenuse of a right triangle with legs 1 and 3 so using Pythagorean Theorem its length is √10.
Answer:
Step-by-step explanation:
(-2, -2 ) ; (-3, - 5)
[tex]Distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}} \\\\=\sqrt{(-5-[-2])^{2}+(-3-[-2])^{2}}\\\\=\sqrt{(-5+2)^{2}+(-3+2)^{2}}\\\\ =\sqrt{(-3)^{2}+(-1)^{2}} \\=\sqrt{9+1}\\\\=\sqrt{10}[/tex]
Find the surface area of the prism in the picture. pls help
Answer:
The surface area should be 335
Step-by-step explanation:
Separate each rectangle and square and find the area of each. Don't forget the ones on the back
Answer:
Step-by-step explanation:
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
Find the surface area of the rectangular prism
3 cm
5 cm
10 cm
Answer:
Step-by-step explanation:
Can you label like which one is which please.
pleas help me with this question quickly!!
Answer:
[tex]y=ax^2+bx+c[/tex]
Step-by-step explanation:
[tex]y=ax^2+bx+c[/tex] because in a quadratic, there is a exponent 2, 1, and 0
Select the correct answer.
In circle C, RT= 6, RS = 10, and QT= 3. What is the length of line segment PQ?
Answer:
Therefore, the answer of PQ is 20.Step-by-step explanation:
In circle C, RT= 6, RS = 10, and QT= 3. What is the length of line segment PQ?
In circle C, RT= 6,
RS = 10, and
QT= 3.
What is the length of line segment PQ?
[tex](RT) (RS) = (QT) (PQ)[/tex]
so plug that in
[tex](6)(10)=(PQ)(3)[/tex]
[tex](6)(10)=(PQ)(3) \\\\60=(PQ)(3)\\\\PT=\frac{60}{3} \\\\PQ=20[/tex],
Therefore, the answer of PQ is 20.
The amount of energy it takes to lift a box might be a function of which of the
following?
A. The shape of the box
B. The weight of the objects inside the box
C. The time of day that you are lifting it
Answer:
A
Step-by-step explanation:
Because energy takes up the same inside the box?
What is the equation of a line passing through (5,2) and parallel to the line represented by the equation y= 2x + 1?
Answer:
y= 2x -8
Step-by-step explanation:
To find the equation of a line passing through (5,2) and parallel to the line represented by the equation y= 2x + 1, we will follow the steps below;
since the line is parallel to y=2x + 1, then the will have the same slope. That is; m₁ = m₂
comparing y = 2x + 1 to y = mx + c
m= 2
we will substitute m= 2 x= 5 and y = 2 into y = mx + c and then solve for c
y = mx + c
2 = 2(5) + c
2 = 10 + c
subtract 10 from both-side of the equation
2-10 = 10 -10 + c
-8 = c
c=-8
To find our equation, we will substitute m = 2 and c=-8 into y=mx + c
y = 2x - 8
Therefore, the equation of a line passing through (5,2) and parallel to the line represented by the equation y= 2x + 1 is y= 2x -8
A plumber used 2.895 m of pipe during a job.
How much pipe did he use rounded to 1 decimal place?
How can we find % Loss?
Answer:
(new - original) / original * 100 %
Step-by-step explanation:
To find a percent loss,
Take the new amount
Subtract the original amount
(new - original)
Then divide by the original
(new - original) / original
Multiply by 100 percent
(new - original) / original * 100 %
That is the percent loss
find a percent loss,
Take the new amount
Subtract the original amount Divide by original multiply by 100
Can somebody answer this !!!
Answer:
-5 ≤x≤5
Step-by-step explanation:
The domain is the values that are allowed for the input
As we can see from the graph, X can be from -5 to 5 inclusive
-5 ≤x≤5
Given that lines m and n are parallel and that line t is a transversal, the
measure of angle 3 is ____ degrees.
Step-by-step explanation:
FYAN1440 WITH BRAINLY _____________________======> Mathematics <=======
Step-by-step :
The angle of 1,2,3 is same, So =>
<1 = 180° - 120°
= 60°
<1 = <2 = <3
60° = 60° = 60°
The answer is 60°
Would you rather Have the profit from a downtown hotel with 122 guest rooms, an average price of $239/night or Have the profit from a rural beachside villa with 62 units, average price of $499/night? *
Answer:
The beachside villa
Step-by-step explanation:
122*239=$29,158
62*499=$30,938
The beachside villa has a higher profit margin per night.
how would i graph this function f(x) = −4(2)x?
Answer:
if you use m.a.t.h w.a.y you can find your answer its a math
Step-by-step explanation:
graph the line using the slop and y intercept 2 points
slope -8
y intercept 0
x=y
0=0
1=-8
Solve for Y. Having trouble understanding it. Please help.
Answer:
y = 4.8
Step-by-step explanation:
I set up a proportion to solve this. I divided 9.6 by 8 to find the ratio. Then, with the ratio as 1.2, I multiplied 1.2 and 4 together to get 4.8, which is y.
Determine the possible side lengths of the third side of a triangle with known side lengths of 6 and 12. A) 6 < c < 18 B) –6 < c < –18 C) 12 < c < 6 D) 6 < c < 12
Answer:
A) 6 < c < 18
Step-by-step explanation:
A triangle is known to have 3 sides: Side a, Side b and Side c.
For a triangle, one of the three sides is longer than the other two sides. (The only exception is when we are told specifically that a triangle is an equilateral triangle, where all the 3 sides are equal to each other).
To solve the above question, we would be using the Triangle Inequality Theorem.
The Triangle Inequality Theorem states that the summation or addition of the lengths of any two sides of a triangle is greater than the length of the third side.
Side a + Side b > Side c
Side a + Side c > Side b
Side b + Side c > Side a
For the above question, we have 2 possible side lengths for the third side of the triangle. We are given in the above question,
side (a) = 6
side (b) = 12
Let's represent the third side as c
To solve for the above question,we would be having the following Inequality.
= b - a < c < b + a
= 12 - 6 < c < 12 + 6
= 6 < c < 18
Therefore, the possible side lengths for the triangle is the above question is Option A) 6 < c < 18
A local maximum of the function f(x) occurs for which x-value?
A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries 16, negative 2, 0, 6, 0, negative 2.
–4
–3
–2
–1
Answer:
There is a local maximum at the point (-1,6), therefore, for x = -1
Step-by-step explanation:
Notice that the function adopts values smaller than 6 to the left of x = -1, and to the right of it:
(-3, -2), (-2, 0) to the left of x = -1 where the function's value is 6
and (0, 0), and (1, -2) to the right of x = -1
therefore, it looks like (-1, 6) is a maximum, that is for x = -1, where the function renders a value of 6.
Answer:
D is the correct answer
I need a lot of help.. thanks.!
Answer:
E!
Step-by-step explanation:
Every new circle throughout the pattern adds one more section & moves down one section. Not sure if that explanation makes sense, but it does in my head.
How do I solve this?
Answer:
X=20
70 x 2 for the other side = 140
every triangle has 180 degrees
180-140=40
There are 40 remaining degrees
there are two x's so we divide by 2
40 = X2
20 = X
Hope this helps
Step-by-step explanation:
6) A pyramid with a TRIANGULAR base has a volume of 240 cubic inches and a height of 15 inches. The base of
the triangular base is 8 inches. Find the height of the triangular base. (4 pts)
Answer: 12 inches
Step-by-step explanation:
Vol = 1/3 x b x h
240 = 1/3 x b x 15
b = 240/5 = 48 in = area of triangle base
Area = 1/2 x b x h
48 = 1/2 x 8 x h
h = 48/4 = 12 inches
The calculation: 5- (-11)
(Five minus negative eleven)
There is a photo included, please help! Thanks in advance!
Answer: B
Step-by-step explanation:
If there is a change in something it normal means you subtract 1 number from another.
In this case the two values were 5 and -11.
At midday for answer b, it was 5 and at midnight it -11. It then wants to know the change in temperature which would result in an expression of 5-(-11).
The lifespan of a certain electronic toy is normally distributed, with a mean of 3000
hours and a standard deviation of 35 hours. Use the empirical rule to estimate the
probability that a randomly chosen toy has a lifespan between 2930 and 3070.
A) 68%
B) 95%
C) 97.5%
D) 99.7%
Answer:
95%
Step-by-step explanation:
it's within 2 empirical jumps
you purchase a cafeteria business for $15,000. you put $2,250 down and finance the rest to pay off the loan in 5 years at 12% true annual interest. what are your monthly payments to pay off the loan ?
Answer: $ 272.49
Step-by-step explanation:
Please see attached formula
The monthly payments to pay off the loan is $1528.3
What is loan?A loan is a form of debt incurred by an individual or other entity. The lender—usually a corporation, financial institution, or government.
Given that, you took a loan, of $15,000, $2,250 down and finance the rest to pay off the loan in 5 years at 12% true annual interest.
Interest will be on = 15000 - 2250 = 12750
Formula to be used :-
PV = PMT / i [1-1/(1+i)ⁿ]
12750 = PMT / 0.12[1-/(1+0.12)⁶⁰]
12750 = PMT / 0.1198
PMT = 1528.29622
Hence, the monthly payments to pay off the loan is $1528.3
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