The lower bound of the measurement is 65.5 millimetres.
A centimetre equals 10 millimetres, a measure is expressed by the measured magnitude plus uncertainty, the latter one represents the grade of precision of the measure instrument. That is to say:
[tex]y = x + \epsilon[/tex] (1)
Where:
[tex]x[/tex] - Measured magnitude, in millimeters.[tex]y[/tex] - Possible magnitude, in millimeters.[tex]\epsilon[/tex] - Uncertainty, in millimeters.If we know that [tex]y = 67.5\,mm[/tex] and [tex]\epsilon = 1\,mm[/tex], then the lower bound of the measurement is:
[tex]y = 67.5\,mm - 2\cdot (1\,mm)[/tex]
[tex]y = 65.5\,mm[/tex]
The lower bound of the measurement is 65.5 millimeters.
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Which statement de ribes the system of equations?
[x+2y = 2
[x-2y=-2
Answer:
x+2y=2 x-2y=-2. It has infinitely many solutions. It has no solution. It has one solution
Use the given figure to find the length of x. x+14 x 8
PLEASE HELP MEEE!!!!!
Answer:
what
Step-by-step explanation:
why would you even need to know this
A polynomial of degree at least 3 where one or more of the roots are fractions
#1 p(x)=(x-3)*(x-5)*(x-1)=x3-9x2+23x-15
You try the next one...a fractional root would look like (x-3/2)
Using the Factor Theorem, it is found that an example of a polynomial of degree at least 3 where one or more of the roots are fractions is given by:
[tex]f(x) = x^3 - \frac{7}{2}x^2 + \frac{1}{2}x - 1[/tex]Factor Theorem: The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.In this problem:
A polynomial of degree 3 will be built, hence it will have 3 roots.A leading coefficient of a = 1 is supposed.Two non-fractional roots, which are x = 1 and x = 2, hence [tex]x_1 = 1, x_2 = 2[/tex].The fractional root is [tex]x_3 = \frac{1}{2}[/tex].Hence:
[tex]f(x) = (x - x_1)(x - x_2)(x - x_3)[/tex]
[tex]f(x) = (x - 1)(x - 2)\left(x - \frac{1}{2}\right)[/tex]
[tex]f(x) = (x^2 - 3x + 2)\left(x - \frac{1}{2}\right)[/tex]
[tex]f(x) = x^3 - \frac{7}{2}x^2 + \frac{1}{2}x - 1[/tex]
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Let f(x)=-x-5 and g(x)=2x+3. Find the indicated value:
f(4)
Work Shown:
f(x) = -x-5
f(4) = -4-5
f(4) = -9
Explanation: Replace every copy of x with 4. Then use PEMDAS to simplify.
A home has a triangular backyard. The second angle of the triangle is 4º more than the
first angle. The third angle is 21° more than three times the first angle. Find the angles of
the triangular yard
Answer:
31, 114 and 35
Step-by-step explanation:
I set up the equation as such:
(3x + 21) + (x + 4) + x = 180
then I combined like terms:
5x + 25 = 180
And then solving for x I get:
5x = 155
x = 31
And then plugged the solved x value into the terms to give:
(3(31) + 21) = 114
(31 + 4) = 35
alongside the found angle of 31.
Answer:
[tex]31^{\circ}, 35^{\circ}, 114^{\circ}[/tex]
Step-by-step explanation:
Let the first angle be [tex]x[/tex]. Then, the second angle is [tex](x+4)^{\circ}[/tex] and the third angle is [tex](3x+21)^{\circ}[/tex].
We know that the sum of the angles in a triangle will always be [tex]180^{\circ}[/tex]. So, we want to solve the equation for x: [tex](x)+(x+4)+(3x+21)=180[/tex].
Combining like terms on the left side gives [tex]5x+25=180[/tex].
Subtracting [tex]25[/tex] from both sides gives [tex]5x=155[/tex].
Dividing both sides by [tex]5[/tex] gives [tex]x=31[/tex].
So, the first angle is [tex]31^{\circ}[/tex].
The second angle is [tex]x+4=31+4=35[/tex], so the second angle is [tex]35^{\circ}[/tex].
The third angle is [tex]3x+21=3(31)+21=93+21=114[/tex], so the third angle is [tex]114^{\circ}[/tex].
So, the angles are [tex]\boxed{31^{\circ}, 35^{\circ}, 114^{\circ}}[/tex] and we're done!
The check that these angles work is left as an exercise to the reader.
A bedroom wall is 12 feet long. A decorator places the center of a square painting that has side lengths of 3 feet in the exact center of the bedroom wall.
How many feet are between the right edge of the painting and the right edge of the bedroom wall, x?
O 16 feet
o 9 feet
04 feet
.3 feet
the answer is 9 feet
cuz 12-3=9
Helloooo could someone plz help me on this ?
Answer:
15 cubic units
Step-by-step explanation:
If you add up the blocks you get 15
HELP! Solve
-1
------d =12
3
The 1/3 is a fraction
Step-by-step explanation:
yes 1 / 3..it is a fraction
Hi anyone help me with this it’s for my daughter and i am not good with mathematics
Answer: Ma'am It says that 39-14=25 is the example problem
Please help i really need it, i will give brainliest to the right answers
Monique is taking part in a chili cooking contest. She has to buy enough supplies to make a very large batch of chili. The table shows the prices of some of the ingredients at the grocery store.
Answer:
1. 5
2. 1.29
3. 9.90
Step-by-step explanation:
They are buying 5 of each thing, so multiply it by 5.
The diced tomatoes cost $1.29.
When you solve the equation, you get 9.9. Convert that to money, and you have $9.90
8.24 ➗ 2 = 4.12 ones ➗ 2
Answer:
2.06
Step-by-step explanation:
1. Find the missing lengths of the sides.
Answer:
3rd option is correct.
Step-by-step explanation:
The diagonal length of a square is [tex]\sqrt{2}[/tex] times the side lengths of the square. Squares have 90 degree angles, so we know that this triangle is half a square, making both side lengths 12.
Why was Yellowstone National Park created?
A. to set aside land for animals as more people moved west
B. to protect bears from humans and other predators
C. to keep different types of animals together in one place
D. to stop people from moving further west
Answer:
Step-by-step explanation:
The answer is A. to set aside land for animals as more people moved west
question 10. please i didnt listen to the lecture please help
Answer:
I wrote the answers in the screenshot
convert the following into decimal 111.01
Assuming the given number is in base 2, we have
111.01₂ = 2² + 2¹ + 2⁰ + 2⁻²
111.01₂ = 4 + 2 + 1 + 0.25
111.01₂ = 7.25
Tell me pls but pls no files
Answer:
I think its A
Step-by-step explanation:
The value of y varies directly with x. If x = 195 when y = 15, what is the value of x when y = 9?
Since the value of y varies directly with x, the value of x when y equals 9 is [tex]\frac{9}{13}[/tex]
Given the following data:
x = 195y = 15To find the value of x when y = 9:
This is a direction proportion exercise and you're required to solve for the value of x when the value of y is equal to 9.
First of all, we would determine the constant of proportionality (k) for the mathematical expression.
[tex]y = kx\\\\15 = 195k\\\\k = \frac{195}{15}[/tex]
k = 13
Now, we can find x:
[tex]y = kx\\\\9 = 13x\\\\x = \frac{9}{13}[/tex]
Therefore, the value of x when y equals 9 is [tex]\frac{9}{13}[/tex]
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Pls help me I really need this today. If you need the snack price is here!
Dried Fruit $4.25 per pound
Mixed Nuts $6.75 per pound
Trail Mix $3.50 per pound
9514 1404 393
Answer:
Yes, Yolanda bought enough
Step-by-step explanation:
a. Read and understand the question, including what is given and what is asked for. Here, we have ...
Given: mixed nuts $6.75 per pound, $21.60 spent on mixed nuts; dried fruit $4.25 per pound, $11.90 spent on dried fruit.
Find: is the total weight of purchased mixed nuts and dried fruit at least 6 pounds?
__
b. Select appropriate relations to create a path from what is given to what is asked for. Here, we have ...
weight = cost/(cost per pound)
total weight = weight of mixed nuts + weight of dried fruit
__
c. Use the relations with the given information to come to a conclusion that will answer the question.
weight of mixed nuts = $21.60/($6.75/lb) = 3.2 lb
weight of dried fruit = $11.90/($4.25/lb) = 2.8 lb
total weight = (3.2 lb) +(2.8 lb) = 6.0 lb
Yolanda wanted to buy a total of 6 pounds for the party, and she bought 6 pounds. Yolanda bought enough for the party.
in science class, Marco recorded numbers. from an experiment as 12.87 12.13 12.5 and 12.08 which numbers are closer to 12 ? which are closer to 13?
Answer:
12.87, 12.5 is closer to 13
12.08, 12.13 is closer to 12
Step-by-step explanation:
Least to Greatest:
12
12.0812.1312.5 12.8713
At the Olympic Games, a runner won the 26.2 mile marathon race in 2 hr 4 min and 1 second. What was his average speed in mph and Km/h? Type an integer or a decimal rounded to the nearest tenths as needed. Thanks!
The average speed of the runner is 12.7 mph and 20.4 km/h
Given that the runner ran 26.2 mile in 2hr and 4 minutes, we start of by converting the time from hours and minutes into minutes and finally hours, since hours is what we need. So, we have
2hr = 120mins
+ 4 mins = 124 mins
124 mins ÷ 60 hour/mins = 2.06 hours.
This means that the runner finished the race in 2.06 hours.
If we are to find the average speed in mile per hour, we have
Average speed = distance ran ÷ time taken
Average speed = 26.2 ÷ 2.06
Average speed = 12.7 mph
From the speed in mph, we can directly convert it to km/hr by saying
1 mph = 1.609 km/h
12.7 mph = 12.7 * 1.609 = 20.4 km/hr
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Travis buys a new deep freezer. The manual tells him the temperature will drop 12℃ every hour after he plugs it in. It is currently 70℃ in his house. He checks several hours later and the freezer reads -2℃. How many hours have passed? Write an equation and solve.
Answer:
6 hours will have past if it's then -2°C
one of the root of the quadratic equation x²-(4+p)x+12=0 is three time the other find the root of the equation
Answer:
it should be p=14,x=16,12
The roots of the equations are 2 and 6.
What is a quadratic equation?The equation of the form ax² + bx +c is known as a quadratic equation.
Given that, the quadratic equation is x² - (4 + p)x + 12= 0.
Let the roots of the quadratic equation be a and b.
If the coefficient of x² is 1 in a quadratic equation, then the coefficient of x is equal to the sum of the roots and the constant term is equal to the product of the roots.
Therefore,
a + b = -(4 + p) (1)
ab = 12 (2)
Given that, one root is three times the other, so, let a = 3b and substitute it into equation (2)
3b(b) = 12
3b² = 12
b² = 4
b = 2
Therefore, the value of a is:
a= 3(2)
a = 6
Hence, the roots of the equations are 2 and 6.
Learn more about the quadratic equations:
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PLEASE HELP ITS MATH THANK YOUUUU
Answer:
4 Kilometers
Step-by-step explanation:
if 2 centimeters = 1 kilometer than 8 centimeters = 4 kilometers
Please help me I need this done
Answer:
Your image is too lite to see
Halla el 72% de 40 por favor ayúdenme a verificar si lo hice correcto
m is the midpoint of AB has coordinates (5, -4), if A has coordinates (6, 1). What are the coordinates of B?
Answer: (4,9)
Step-by-step explanation: We assume a straight line, so y=mx+b.
We can determine slope, m: Change in x is (6-5)=1. Change in y is (1-(-4)) = 5 Slope is (Change in y)/(Change in x) = 5/1, or 5
y=5x+b
Find b for (6,1)
1 = 5*6 + b
b = -29
y = 5x-29
Since A is (6,1) and m is (5,-4) we can calculate y for x=4 (point B)
y = 5(4)-29
y = -9
B is (4,-9)
How do you write 3 3/4 as a decimal?
Find the greatest common factor (GCF) of 68 and 76.
A. 4
B. 6
C. 8
D. 2
Answer:
Its A
Step-by-step explanation:
Answer:
A. 4
Step-by-step explanation:
When x = 2, 10+ 3(12= (3x)) = ?
A. 12
B. 16
C. 26
D.34
E. 104
Answer: E
Step-by-step explanation:
