The circunference C is given by
\(C=2\pi\cdot r\)where Pi is given by
\(\pi=3.1416\)and r (radius) is equal to 1 units (in our case).
By substituting these values into the circunference formula, we get
\(C=2(3.1416)(1)\)which gives
\(C=6.2832\)that is, the circunferece is equal to 6.2832 units.
HELP! IT'S OVERDUE! An engineer is building a bridge that should be able to hold a maximum weight of 1 ton. He builds a model of the bridge that is exactly 4 times smaller than the actual bridge. 16 ounces = 1 pound. 2,000 pounds = 1 ton. If a test of the model shows that it holds 8,000 ounces, will the bridge hold 1 ton? 1. 8,000 ounces on the model is equal to (A.32,000 B.35,000 C.80,000) pounds on the actual bridge. 2. Convert ounces to pounds. The actual bridge can hold (A.1,500 B.2,000 C.2,500) pounds. 3. Therefore, the bridge (A.will B.will not) hold one ton. PLEASE READ EVERYTHING
Answer:
1. C
2. C
3. B
Step-by-step explanation:
This was hard but i tried
Answer:
1. 32,000
2. 2,000
3. will
Step-by-step explanation:
i got it wrong and it showed me the correct answer.
Juanita has saved 10% of the money that she needs to buy a new bicycle.
If she has saved $22, how much money does the bicycle cost?
Solve for x (see image)
Answer:
x = 18
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
x^2 + 24^2 = ( 12+x)^2
FOIL the right side
x^2 +576 = 144 + 24x + x^2
Subtract x^2 from each side
576 = 144 + 24x
Subtract 144 from each side
576-144 = 24x
432 = 24x
Divide each side by 24
432/24 = 24x/24
18=x
Which expressions are equivalent to the expression 30x^2-5x-10
Answer:
10 (3 x - 1)
Step-by-step explanation:
Answer:
6 is equivalent as well as option 3
If a number is raised to a power of 2, It Is
Answer: a square i think
Step-by-step explanation:
because you multiply the number by itself, you're squaring it.
What value of x satisfies the equation
(793x)3 = 343q36?
The value of x satisfies the equation is 4
What are index forms?Index forms are described as mathematical forms that are used to represent numbers or values that are too large or small in more convenient ways.
From the information given, we have that;
(7q³ˣ)³ = 343q³⁶
expand the bracket for the values
7³. q⁹ˣ = 343q³⁶
Now find the common exponents, we have;
7³. q⁹ˣ= 7³. q³⁶
Divide the values, we have;
q⁹ˣ = q³⁶
Equate the exponents, we get;
9x = 36
Divide both sides by the coefficient of x, we get
9x/9 = 36/9
Divide the values
x = 4
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in washington, 7 people were originally infected, and the virus is spreading at a rate of 50% each day. however there has been an outbreak in italy. only 3 people were originally infected, but the virus is spreading at a rate of 75% each day. which place should you help first
can anyone help me i dont understand this
A room is 12 m long and the width is 1.5 m more than the height. If the area of the four walls is 105 m², find the height of the room giving your answer correct to 2 decimal places.
Answer:
Step-by-step explanation:
Let's start by finding the width of the room in terms of its height.
Let the height of the room be h meters. Then the width of the room is (h + 1.5) meters.
The area of the four walls is equal to the perimeter of the room multiplied by the height of the room. The perimeter of the room is:
2(length + width) = 2(12 + h + 1.5) = 2(h + 13.5)
So, the area of the four walls is:
2(h + 13.5)h + 2(h + 13.5)(h + 1.5) = 105
Simplifying and solving for h, we get:
2h^2 + 27h - 60 = 0
Using the quadratic formula, we get:
h = (-b ± sqrt(b^2 - 4ac))/(2a)
where a = 2, b = 27, and c = -60.
Plugging in the values, we get:
h = (-27 ± sqrt(27^2 - 4(2)(-60)))/(2(2))
h = (-27 ± sqrt(1101))/4
h ≈ 2.34 or h ≈ -12.84
We can ignore the negative solution since the height of the room must be positive. Therefore, the height of the room is approximately 2.34 meters, rounded to two decimal places.
Provide the missing reasons for the proof.
Given: C E
Prove: ABC - DBE
Please help and explain thurally in explanation t
Find the solution of the system of equations.
Answer:
(1, -7)
Step-by-step explanation:
If you need the work:
5x+3y =-16
5x= -3y -16
x= -3/5y - 16/5
---------------
Substitute x
-10x-3y=11
-10(-3/5y-16/5)-3y=11
y= -7
---------------
Substitute y
x= -3/5(-7) -16/5
x= 1
7.71 divided by 10 I don’t get how to do this
Answer: 0.771 you are welcome
Which of the lines is most likely of best fit for the data provided?
PLEASE HELP!!
4 Digit Lock *
Enter 4 digit number code with no spaces
PLZ HELP E!!!!!!! WILL MARK BRAINLIEST
Prove that -tan^(2)x + sec^(2)x = 1 is an identity
and if you can show your work that would help
Answer:
1
+
sec
2
(
x
)
sin
2
(
x
)
=
sec
2
(
x
)
Start on the left side.
1
+
sec
2
(
x
)
sin
2
(
x
)
Convert to sines and cosines.
Tap for more steps...
1
+
1
cos
2
(
x
)
sin
2
(
x
)
Write
sin
2
(
x
)
as a fraction with denominator
1
.
1
+
1
cos
2
(
x
)
⋅
sin
2
(
x
)
1
Combine.
1
+
1
sin
2
(
x
)
cos
2
(
x
)
⋅
1
Multiply
sin
(
x
)
2
by
1
.
1
+
sin
2
(
x
)
cos
2
(
x
)
⋅
1
Multiply
cos
(
x
)
2
by
1
.
1
+
sin
2
(
x
)
cos
2
(
x
)
Apply Pythagorean identity in reverse.
1
+
1
−
cos
2
(
x
)
cos
2
(
x
)
Simplify.
Tap for more steps...
1
cos
2
(
x
)
Now consider the right side of the equation.
sec
2
(
x
)
Convert to sines and cosines.
Tap for more steps...
1
2
cos
2
(
x
)
One to any power is one.
1
cos
2
(
x
)
Because the two sides have been shown to be equivalent, the equation is an identity.
1
+
sec
2
(
x
)
sin
2
(
x
)
=
sec
2
(
x
)
is an identity
Step-by-step explanation:
I need help please ?!!!!!
Answer:
-6x² - x + 35
The answer is The Last One
Step-by-step explanation:
Hope This Helps :)
Plz Mark Brainliest!!!
Match the system of equations with the number of solutions.
y = 6z+8
y = 6x-4
y = 3x + 2
y + 3x = -7
4z - 2y = 10
2z-y = 5
4z + y = 8
y=-2z+8
No Solution
Answer:
Step-by-step explanation:
The system of equations with no solution is:
y + 3x = -7
4z - 2y = 10
The system of equations with exactly one solution is:
y = 6z+8
y = 6x-4
y = 3x + 2
2z-y = 5
y=-2z+8
The system of equations with infinitely many solutions is:
4z + y = 8
Please solve assignments due today
1. Initial prediction for the data set with smaller Mean Absolute Deviation was Period A. Prediction was wrong.
2. The Mean Absolute Deviation for Period A is 1.8 and Period B, 1.1
This means that period B has a smaller Mean absolute deviation.
How do we calculate the Mean Absolute Deviation?We start by finding the mean for each set;
Period A: Mean = (1×92 + 1×94 + 3×95 + 1×96 + 2×97 + 1×99 + 1×100)/10
= 960/10
= 96
Period B: Mean = (1×94 + 3×95 + 1×96 + 4×97 + 1×98)/10
= 961/10
= 96.1
Period A:
Mean Absolute Deviation = ((92-96) + (94-96) + 3(95-96) + (96-96) + 2(97-96) + (99-96) + (100-96))/10
Mean Absolute Deviation = (4 + 2 + 3 + 0 + 2 + 3 + 4)/10
Mean Absolute Deviation = 1.8
Period B:
Mean Absolute Deviation = ((94-96.1) + 3(95-96.1) + (96-96.1) + 4(97-96.1) + (98-96.1))/10
Mean Absolute Deviation = (2.1 + 3.3 + 0.1 + 3.6 + 1.9)/10
Mean Absolute Deviation = 1.1
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Factor.
3x² +7x
I don’t know what to do
Answer:
Most you can do is factor out the x and turn it into x (3x + 7)
roots would be x = 0 and x = -7/3
Answer: x(3x+7)
Step-by-step explanation:
You would factor the x out of both of your values and put on the outside of the parenthesis. And you put the two numbers that you have left inside of the parenthesis. And that is as far down as this function can be factored.
Solve the compound inequality. 2y+3< 15 3y+4> 13 Write the solution in interval notation. If there is no solution, enter Ø.
We have a compound inequality:
\(\begin{gathered} 2y+3<15 \\ 3y+4>13 \end{gathered}\)We will clear both inequalities for y:
\(\begin{gathered} 2y+3<15 \\ 2y<15-3 \\ 2y<12 \\ y<\frac{12}{2} \\ y<6 \end{gathered}\)\(undefined\)DIRECTIONS: Circle the analogy that BEST matches the bold words.
1. QUART: GALLON
a) centimeter: meter
b) quart: cups
c) four: five
d) quarter: dollar
4. PENTAGON : POLYGON
a) rice : grain
b) aircraft: plane
c) five : sides
d) rhombus: circle
2. TRIMESTER : MONTHS
a) book: chapters
b) three: period
c) days: week
d) yearly: weekly
5. TRIDENT: THREE
a) spear : fork
b) Poseidon : Zeus
c) fishing : tool
d) duplex: two
Answer:
1. d)
4.a)
2.a)
5.d)
Step-by-step explanation:
What the meaning of "f is order-preserving if x < y implies f(x) < f(y)"?
An order-preserving function is one where x < y implies f(x) < f(y). An isomorphism is a one-to-one order-preserving function between two partially ordered sets, while an automorphism is an isomorphism of a set to itself.
In the given excerpt, it explains the concepts of order-preserving functions, isomorphisms, and automorphisms in the context of partially ordered sets.
Order-Preserving Function:
A function f: P -> Q, where P and Q are partially ordered sets, is said to be order-preserving if for any elements x and y in P, if x < y, then f(x) < f(y). In other words, the function preserves the order relation between elements in P when mapped to elements in Q.
Increasing Function:
If P and Q are linearly ordered sets, then an order-preserving function is also referred to as an increasing function. It means that for any elements x and y in P, if x < y, then f(x) < f(y).
Isomorphism:
A one-to-one function f: P -> Q is called an isomorphism of P and Q if it satisfies two conditions:
a. f is order-preserving: For any elements x and y in P, if x < y, then f(x) < f(y).
b. f is onto (surjective): Every element in Q has a pre-image in P.
When an isomorphism exists between (P, <) and (Q, <), it means that the two partially ordered sets have a structure that is preserved under the isomorphism. In other words, they have the same ordering relationships.
Automorphism:
An automorphism of a partially ordered set (P, <) is an isomorphism from P to itself. It means that the function f: P -> P is both order-preserving and bijective (one-to-one and onto). Essentially, an automorphism preserves the structure and order relationships within the same partially ordered set.
These concepts are fundamental in understanding the relationships and mappings between partially ordered sets, particularly in terms of preserving order, finding correspondences, and exploring the symmetry within a set.
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Help with these 2 please !!
help meee plssssssssss
Answer:
There is four boxes I answered this in order
1st box: 3
2nd Box: 7
3rd box: 15
4th box : 19
5th box ; 16
Step-by-step explanation:
This is simple
A pyramid has cross-sectional shapes, taken parallel to its base, that are ______ to one another.
A. equal
B. equivalent
C. congruent
D. similar
Answer:
D. similar
Step-by-step explanation:
similar but not congruent to one another.
A pyramid has cross-sectional shapes, taken parallel to its base, that are similar to one another.
What is a pyramid?A pyramid is a polyhedron with a polygonal base and triangles on all lateral faces.A pyramid has n + 1 vertices, n + 1 faces, and 2n edges with an n-sided base. Pyramids are all self-dual.The cross-sectional shape of the pyramid:A perpendicular to the base cross-section of a pyramid will be a triangle. A parallel to the base cross-section of a pyramid will be a smaller version of the base that is similar to one another.Therefore, A pyramid has cross-sectional shapes, taken parallel to its base, that are similar to one another.
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Is this or is this not a function?
Answer:
This is not a function
Step-by-step explanation:
Assuming that the line in question is parallel with the y axis, by using the line test we can see that the line is not a function. The line test is where you draw straight lines going vertically over the graph and if the lines touch the figure in question more than once that means it's not a function.
This can also be proved by imagining there are 2 different points on the line in question. Since the line is straight vertically that means that the points will share the same x value for different y values, which makes it not a function
Answer:
This is not a function.
Step-by-step explanation:
The questioned parallel line within the y-axis does not meet the requirements to be a function. The line test, as the other person stated, is a test where lines are drawn over the points to determine if the graph / model is, or is not a function. Doing so in this process, if the lines touch the same point more than once, that means the graph is not a function.
Apple would like to estimate the web browsing battery life of the iPad. The following data represents the battery life, in hours, experienced by six users.
10 14 14 16 13 8
Using this sample, the point estimate for the web browsing battery life of the iPad is:________
Answer:
12.5 hours
Step-by-step explanation:
The data which represents the battery life, in hours, experienced by six users is given below:
10 14 14 16 13 8
To determine the point estimate for the web browsing battery life of the iPad, we find the mean number of hours.
\(Mean=\dfrac{10+14+14+16+13+8}{6} \\\\=\dfrac{75}{6} \\\\=12.5\)
The point estimate for the web browsing battery life of the iPad is: 12.5 hours
I need help with this
Answer:
see attached
Step-by-step explanation:
The domain is the horizontal extent of the graph. The graph extends to infinity in both directions horizontally (that's what the arrows mean). There are no "holes" because the open circle at x=-1 is matched by a filled circle at the same location.
__
The range is the vertical extent of the graph. The minimum is -3, which is included in the range. The maximum is infinity (as indicated by the up-pointing arrow).
May someone help me pls
In a survey of 40,000 students approximately 5% of the students have five or more siblings. Approximately how many students have five or more siblings?
Answer:
C. 2,000 students
Step-by-step explanation:
Using the equation, 5% of 40000 = 0.05 × 40000 = 2000, I was able to find the CORRECT answer. 5% of 40,000 is 2,000 students. Hope this helps!
The value of 33 + 42 = .
Answer:
75
Step-by-step explanation:
Answer:
57
Step-by-step explanation:
33
+42
75