Answer:
2.1
Step-by-step explanation:
Find the range for the measure of the third side of a
triangle given the measures of two sides.
8, 13
By using properties of triangle, it can be inferred that
The value of c lies between 5 and 21 and also 5 and 21 are not included
What is a triangle?
A triangle is a three sided two dimensional figure. A triangle has three sides and three interior angles. The sum of the interior angles of a triangle is 180°
Let a = 8, b = 13 and let the third side be c
We know sum of two sides of a triangle is always greater than the third side
a < b + c
8 < 13 + c
c > 8 - 13
c > -5, which is obvious
b < c + a
13 < c + 8
c > 13 - 8
c > 5
c < a + b
c < 8 + 13
c < 21
5 < c < 21
The value of c lies between 5 and 21 and also 5 and 21 are not included
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if the pencils that are 3 of a foot long are laid end to end touching, 12 how far would the row extend? a. 3 ft b. 6 ft c. 8 ft d. 9 ft
If three pencils, each measuring one foot in length, are laid end to end touching, the total distance covered by the row would be 3 feet.
Since each pencil is 1 foot long, when three pencils are laid end to end, they form a row that is 3 feet long. The key information here is that the pencils are touching, which means there are no gaps between them. Therefore, the row would extend for a total distance of 3 feet.
In this scenario, the correct answer is option a, 3 ft. The row would not extend beyond 3 feet because there are only three pencils, each measuring one foot in length. If there were more pencils or if they were not touching end to end, the total distance covered by the row would be different. However, based on the given information, the row formed by the three one-foot-long pencils would have a length of 3 feet.
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Use the circle to solve for the missing measures. Assume lines that appear tangent are tangent. Do NOT round any answers.
The given circle having two external tangents, according to circle
theorem, have the following values;
r = 3m∠1 = 82°m∠2 = 49°x = 82°How can the radial length and angles be found?r² + 1.6² = (0.4 + r)²
(0.4 + r)² - (r² + 1.6²) = 0
0.8·r - 2.4 = 0
0.8·r = 2.4
r = 2.4 ÷ 0.8 = 3
r = 3y = 49°
From the two tangent angle theorem, we have;
m∠1 = ((82 + 98 + 82) - (360 - ((82 + 98 + 82)))) ÷ 2 = 82
m∠1 = 82°According to circle theorems, angle at the center is twice angle
subtended at the circumference.
m∠2 = (360 - (82 + 98 + 82)) ÷ 2 = 49°
m∠2 = 49°The length of the chord subtended by the arc x is equal to the length of
the chord subtended by 89°, which gives;
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exercises 1 - 6 refer to the diagram shown .
Using the diagram of the circle given above, the value of the parts of the circle is as follows:
1.) Minor arc = Arc AB
2.) Major arc = Arc ACB
3.) Semicircle = AC
4.) Two central angles = 40° and 320°
5.) Arc AB = < 180°
6.) Arc ACB = > 180°
What is a major and minor arc of a circle?The minor arc of a circle is defined as part of the circle that is less than 180° that connects two points on the circumference of a circle.
The major arc of a circle is defined as the part of the circle that is greater than 180° that connects two points on the circle of a circle.
A semi circle is defined as exactly half of a circle which has a total of 180°.
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let n be a positive integer. let h 5 {0, 6n, 62n, 63n, . . .}. find all left cosets of h in z. how many are there?
The total number of left cosets of h in Z is n.
Here, Z represents the set of all integers and h = {0, 6n, 62n, 63n, . . .} is a subgroup of Z.
To find the left cosets of h in Z, we need to consider the elements of Z that are not already in h and then form the left cosets by adding elements of h to these elements.
Let's consider an integer a that is not in h. Then a can be written as:
a = 6qn + r, where 0 ≤ r < 6n
Now, we can form the left coset of h containing a by adding elements of h to a. That is:
a + h = {a + 0, a + 6n, a + 62n, a + 63n, ...}
Notice that adding any multiple of 6n to a will not change the left coset. Therefore, we can write:
a + h = {a + 6kn : k is an integer}
So, the left cosets of h in Z are of the form {6kn : k is an integer}. There are n different such cosets, because there are n different residue classes modulo 6n.
Therefore, the total number of left cosets of h in Z is n.
Note: A left coset of a subgroup H in a group G is a set of the form {ah : h ∈ H}, where a is an element of G.
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Ava earns 9.20 per hour for the first 6 hours she works each day then time and a half.
What is her pay if she works for 9 hours?
Sometimes Esther makes sliders. Each slider has 1 2 as much meat as a regular hamburger. How many sliders can Esther make with the 3. 92 pounds?
If each slider has 1.2 pounds as much meat as a regular hamburger, the number of sliders Esther can make with 3.92 pounds of meat is 3.
What is the number of sliders Esther can make?The number of sliders Esther can make with the 3. 92 pounds is calculated as follows;
If each slider has 1.2 pounds as much meat as a regular hamburger, the number of sliders Esther can make with 3.92 pounds of meat is calculated as;
= 3.92 / 1.2
= 3.27
≈ 3
So Esther can make 3 sliders with 3.92 pounds of meat
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if log3. 18+log3. 3-log3. x=3
Given:
The equation is
\(\log_318+\log_33-\log_3x=3\)
To find:
The solution for the given equation.
Solution:
We have,
\(\log_318+\log_33-\log_3x=3\)
Using the properties of logarithm, we get
\(\log_3(18\times 3)-\log_3x=3\) \(\left[\because \log(ab)=\log a+\log b\right]\)
\(\log_3(54)-\log_3x=3\)
\(\log_3\left(\dfrac{54}{x}\right)=3\) \(\left[\because \log(\dfrac{a}{b})=\log a-\log b\right]\)
\(\dfrac{54}{x}=3^3\) \([\because \log_ab=x\Leftrightarrow b=a^x]\)
On further simplification, we get
\(\dfrac{54}{x}=27\)
\(\dfrac{54}{27}=x\)
\(2=x\)
Therefore, the value of x is 2.
Answer:
-1.631
Step-by-step explanation:
Got the answer on edge
Write AB−⇀− with A(−9, 2) and B(−1, −6) in component form.
⟨−8, −8⟩
⟨8, −8⟩
⟨8, 8⟩
⟨−8, 8⟩
Answer:
<8, -8>
Step-by-step explanation:
X= -1 - (-9) or -1 + 9
Y= -6 - (2)
Answer:
⟨8, −8⟩
Step-by-step explanation:
draw this on graph paper and then count how far the one point is from the other.
The horizontal number goes first, then the vertical.
hope this helps!
I need help comparing these two numbers
Answer:
-40 is larger then -60 cuz its negative
Please help me with trig! True or False
Answer:
False
Step-by-step explanation:
If it is a right triangle, the Pythagorean theorem will apply
a^2 + b^2 = c^2
4^2 + 5.05^2 = 6.6^2
16 +25.5025 =43.56
41.5025=43.56
This is not true so it is not a right triangle
Round to the nearest integer
4^2 + 5^2 = 7^2
16+25 = 49
41 =49
This is not true
Which expression is equivalent to 1/4x + 1 1/5 ?
A. 1/5 (4x + 1)
B.2/5 (2x + 3)
C . 4/5 (x + 2)
D.5/4 (x + 1)
Answer: None
Step-by-step explanation:
All of these choices would only give you either 4/5x or 5/4x. They wouldn't be equal to 1/4x+1 1/5
So sorry if this is wrong.
Have a nice day! :D
What is the vertex of the quadratic function below?
Y=1/2x^2+x+3
The vertex of the quadratic function y = (1/2)x^2 + x + 3 is (-1, 5/2).
To find the vertex of the quadratic function y = (1/2)x^2 + x + 3, we can use the vertex formula, which states that the x-coordinate of the vertex is given by -b/2a, where the quadratic function is in the form y = ax^2 + bx + c.
In this case, the coefficient of x^2 is 1/2 (a = 1/2) and the coefficient of x is 1 (b = 1). Plugging these values into the vertex formula, we have:
x-coordinate of vertex = -b/2a = -(1)/2(1/2) = -1/(2/2) = -1/1 = -1
To find the y-coordinate of the vertex, we substitute the x-coordinate back into the quadratic function:
y = (1/2)(-1)^2 + (-1) + 3
= (1/2)(1) - 1 + 3
= 1/2 - 1 + 3
= 1/2 - 2/2 + 6/2
= 5/2
Consequently, (-1, 5/2) is the vertex of the quadratic function y = (1/2)x2 + x + 3.
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"Suppose we are using the CPM with three time estimates
(PERT) to schedule a project. What is the variance of the
length of the critical path if the standard deviation is 2.4?
A. 5.76
B. 2.34
C. 2.96
D. 3.19
E. 4.46
The variance of the length of the critical path is 5.76.
Option A is the correct answer.
We have,
To calculate the variance of the length of the critical path in the Critical Path Method (CPM) with three-time estimates (PERT), we can use the formula:
Variance = (Standard Deviation)²
Given that the standard deviation is 2.4, we can substitute it into the formula:
Variance = (2.4)² = 5.76
Therefore,
The variance of the length of the critical path is 5.76.
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Make a table of values for the following equation. Then graph the equation.
y = |x| + 2
Complete the table of values below. (Simplify your answers.)
x | y
-3 | []
-1 | []
0 | []
1 | []
3 | []
The complete table of values of the absolute value equation is
x | y
-3 | [5]
-1 | [3]
0 | [2]
1 | [3]
3 | [5]
How to make a table of values for the following equation. Then graph the equation?The absolute value equation of the function is given as
y = |x| + 2
On the incomplete table of values, we have the following x values
x = -3, -1, 0, 1 and 3
Next, we substitute x = -3, -1, 0, 1 and 3 in the equation y = |x| + 2
So, we have:
y = |-3| + 2 = 5
y = |-1| + 2 = 3
y = |0| + 2 = 2
y = |1| + 2 = 3
y = |3| + 2 = 5
So, the complete table of values of the absolute value equation is
x | y
-3 | [5]
-1 | [3]
0 | [2]
1 | [3]
3 | [5]
See attachment for the graph of the absolute value equation
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-4(y - 2) = 12
Answer ASAP plz
Answer: The answer is -1
Step-by-step explanation:
-4(y - 2) = 12
-4y + 8 = 12
- 8 - 8
_____________
-4y = 4
________
-4 -4
y = -1
The geometric sequence graphed shows the number of mold spores in a Petri dish per day (please help!)
Answer:
f(1) = 2
f(n) = 2 × f(n - 1) , n ≥ 2
Step-by-step explanation:
the point of coordinates (1 , 2) is on the graph
Then
f(1) = 2
…………………………
We notice that :
f(2) = 4
f(3) = 8
f(4) = 16
16/8 = 8/4 = 4/2 = 2/1 = 2
________________________
This means the common ratio
of the geo sequence = 2
Hence ,
f(n) = 2 × f(n - 1)
Answer: f(n) = 2 × f(n - 1) , n ≥ 2
Step-by-step explanation:
half the quotient of 4 and a number y
Answer:
y = 1
Step-by-step explanation:
Hello!
2x2=4 so 2 is the quotient and half of 2 is obviously 1. So you add y to that and its y = 1.
The expression of half the quotient of 4 and a number y is gotten as; ¹/₂ * 4/y
How to solve algebraic questions?
From the definition of quotients, we know that a quotient is a result obtained by dividing one quantity by another.
Thus, quotient of 4 and a number y is; 4/y
To get half of the value above, we will just multiply it by half to get;
¹/₂ * 4/y
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(3 + 4i) + (8 + 2i)
Answer choices
11 - 6i
5 + 12i
7 + 10i
11 + 6i
Answer:
11+6i
Step-by-step explanation:
vectors addition
(3+8) +(4i+2i)
11+6i
the radius of a sphere is increasing at a constant rate of 8 meters per second. at the instant when the radius of the sphere is 22 meters, what is the rate of change of the volume? the volume of a sphere can be found with the equation v
So, on solving the provided question we can say that the rate of change of the volume with respect to radius = \(1770 = 4/3 \pi r^3S = 4 \pi r^2\) \(dS/dt = 8 \pi r dr/dt\)
what is radius?The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. The distance a circle's center is from any point on its perimeter is its radius. Usually, "R" or "r" is used to indicate it. A radius is a line segment that has one endpoint in the center and one on the circumference of a circle. Circular diameter equals radius The diameter of a circle is the segment that traverses its center and has ends that are on the circle.
Taking the derivative of the volume formula
\(DV/dt = 4\pi r*2 dr/dt\\5471 = 4 \pi r*2 dr/dt\)
This equation r and dr/dt
We can solve for r...
sphere is 1770 cubic inches
\(1770 = 4/3 \pi r^3S = 4 \pi r^2dS/dt = 8 \pi r dr/dt\)
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How do you write 10 more than a number?.
To write 10 more than a number, we use the mathematical operation of addition and the notation 10 + Number = N+10.
To write 10 more than a number, we need to use the mathematical operation of addition. Addition is the process of combining two or more numbers to find the total or sum.
In this case, we are given the number 5 and we are asked to find the number that is 3 more than it. To do this, we can use the mathematical notation: 10 + Number = N+10.
This notation means that we are adding 10 to a number, which results in N+10. The "+" symbol is the addition operator and it is used to indicate that we are performing an addition operation. The "=" symbol is used to indicate that the result of the addition is N+10.
Another way to write 10 more than a number is to use the phrase "10 plus a number". This phrase indicates that we are adding 10 to a number to get N+10.
Therefore, In short, to write 10 more than a number, we use the mathematical operation of addition and the notation 10 + Number = N+10. This means that we are adding 10 to a number, resulting in N+10. It can also be written as "10 plus N", indicating the same operation.
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Determine the values of the following quantities. (Round your answers to three decimal places.) A. t0.10,14 B. t0.05,14C. t0.05,27D. t0.05,60E. t0.005,60
The values of such following quantities are (A), 1.345, (B), 1.761, (C), 1.706, (D), 1.676, and (E), 2.678 according to the stated statement.
What types of amounts are there?Any logical combining of a number, changeable, or other quantity is referred to as a quantity in a mathematical equation. For example, the equation x + 6 = Fifteen denotes four different numbers: 6, 15, x, and the sum of x plus 6, or x + 6. The concept is that just being exposed to something increases our likelihood of like it more. We are far more likely to enjoy someone or something the more often we interact with them.
The following table lists the quantities of the quantities:
(A). Here,
\($\alpha=0.10, d f=14$$t_{0.10,14}=1.345$\)
(B). Here,
\($\alpha=0.05, d f=14$$t_{0.05,14}=1.761$\)
(C). Here,
\($\alpha=0.05, d f=26$$$t_{0.05,26}=1.706$$\)
(D). Here,
\($\alpha=0.05, d f=50$$$t_{0.05,50}=1.676$$\)
(E). Here,
\($\alpha=0.005, d f=50$$$t_{0.005,50}=2.678$$\)
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if x/y + y/x = -1 find the value of x3-y3
If x/y + y/x = -1, the value of \(x^3-y^3\) is \((x - y)(y^2).\)
To find the value of x^3 - y^3, we can use the identity for the difference of cubes, which states that:
\(a^3 - b^3 = (a - b)(a^2 + ab + b^2).\)
In this case, we have:
\(x^3 - y^3 = (x - y)(x^2 + xy + y^2).\)
To find the value of x^3 - y^3, we need to determine the values of x and y. Given that x/y + y/x = -1, we can rewrite this equation as:
\((x^2 + y^2) / (xy) = -1.\)
Multiplying both sides by xy, we get:
\(x^2 + y^2 = -xy.\)
Substituting this expression into the equation for x^3 - y^3, we have:
\(x^3 - y^3 = (x - y)(x^2 + xy + y^2)\\= (x - y)(-xy + xy + y^2) [Using x^2 + y^2 = -xy]\\= (x - y)(y^2).\)
Therefore, the value of \(x^3-y^3\) is \((x - y)(y^2).\)
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if x/y + y/x = -1, then the value of x³ - y³ is 0.
How to find identity of cubes?Prove this using the following steps:
Add 1 to both sides of the equation x/y + y/x = -1:
x/y + y/x + 1 = -1 + 1
(x² + y²) / xy = 0
Multiply both sides of the equation by xy:
x² + y² = 0
Cube both sides of the equation x² + y² = 0:
(x² + y²)³ = 03
x³ + 3x2y + 3xy² + y³ = 0
Subtract 3x2y + 3xy² from both sides of the equation x³ + 3x2y + 3xy² + y3 = 0:
x3 - y3 = -3x2y - 3xy²
Factor out -3xy from the right side of the equation:
x³ - y³ = -3xy(x + y)
Since x/y + y/x = -1, x + y = 0. Substitute this into the equation x³ - y³ = -3xy(x + y):
x³ - y³ = -3xy(0)
x³ - y³ = 0
Therefore, the value of x³ - y³ is 0.
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How do i solve this paper?
I feel like my answers are gone and i need help.
Answer:
you have it correct sir
Step-by-step explanation:
4x + 8 = 18 - x Solve the equation on the worksheet. Write the number that x equals.
Answer:
x=2
Step-by-step explanation:
4x + 8 = 18 - x
take 8 from both sides
4x=10-x
add x to both sides
5x=10
divide both sides by 5
x=2
(check)
(4x2)+8=18-2
8+8=16
18-2=16
Answer:
2.
Step-by-step explanation:
4x + 8 = 18 - x
4x + x = 18 - 8
5x = 10
x = 2.
Pro ) Find \( \frac{d y}{d x} \) from \( y=\ln x^{2}+\ln (x+3)-\ln (2 x+1) \)
To find (the derivative of \( y \) with respect to \( x \)) from the given function \( y = \ln(x^2) + \ln(x+3) - \ln(2x+1) \), we can apply the rules of logarithmic differentiation.
First, we can rewrite the function using logarithmic properties:
\(\( y = \ln(x^2) + \ln(x+3) - \ln(2x+1) = \ln(x^2(x+3)) - \ln(2x+1) \).\)
Now, using the rules of logarithmic differentiation, we can differentiate \( y \) with respect to \( x \) as follows:
\( \frac{dy}{dx} = \frac{1}{x^2(x+3)} \cdot (2x(x+3)) - \frac{1}{2x+1} \).
Simplifying further:
\(\( \frac{dy}{dx} = \frac{2x(x+3)}{x^2(x+3)} - \frac{1}{2x+1} \).\( \frac{dy}{dx} = \frac{2x^2 + 6x}{x^2(x+3)} - \frac{1}{2x+1} \).Thus, \( \frac{dy}{dx} = \frac{2x^2 + 6x}{x^2(x+3)} - \frac{1}{2x+1} \) is the derivative of \( y \) with respect to \( x \)\) for the given function.
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An image of a right rectangular prism is shown.
What is the surface area of the prism?
103.7 cm2
201 cm2
207.4 cm2
402 cm2
The surface area of the right rectangular prism with given dimensions is equal to 207.4 square centimeters.
Surface area of the right rectangular prism
= 2 ( length × width + width × height + height × length )
In the diagram,
length of the right rectangular prism = 6.7cm
Width of the right rectangular prism = 6.0cm
Height of the right rectangular prism = 5cm
Substitute the values in the formula we get,
Surface area of the right rectangular prism
= 2 × ( 6.7 × 6 + 6 × 5 + 5 × 6.7 )
= 2 × ( 40.2 + 30 + 33.5 )
= 2 × 103.7
= 207.4 square centimeters.
Therefore, the surface area of the prism with length 6.7 cm , width 6.0 cm and height 5cm is equal to 207.4 square centimeters.
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Find the indicated measures in problems 15&16 from parallelogram ABCD shown below
15)Find CD
16)Find m
Can anyone help me with Qs 15 & 16 ??
Answer:
B and C
Step-by-step explanation:
(15)
The opposite sides of a parallelogram are equal , so
CD = AB , that is
7x - 54 = 5x - 2 ( subtract 5x from both sides )
2x - 54 = - 2 ( add 54 to both sides )
2x = 52 ( divide both sides by 2 )
x = 26
Then
CD = 7x - 54 = 7(26) - 54 = 182 - 54 = 128 → B
(16)
Consecutive angles are supplementary, sum to 180° , then
6y + 19 + 2y + 9 = 180
8y + 28 = 180 ( subtract 28 from both sides )
8y = 152 ( divide both sides by 8 )
y = 19
Then
∠ B = 6y + 19 = 6(19) + 19 = 114 + 19 = 133°
Opposite angles are congruent , so
∠ D = ∠ B = 133° → C
a(n) ? is a shorthand method for writing a mathematical rule.a. equal sign (=)b. equationc. formulad. math problem
The equation is a shorthand method for writing a mathematical rule.
The answer to your question is b.equation. An equation is a shorthand method for writing a mathematical rule. It represents a relationship between two or more variables using mathematical symbols and operations. Equations are commonly used in algebra, calculus, and other areas of mathematics to solve problems and make predictions. They are written using an equal sign (=) to show that the expression on the left is equal to the expression on the right. Equations are an important tool in mathematics because they allow us to express complex ideas in a concise and precise way. By using equations, we can simplify calculations and solve problems more efficiently.
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Math help me please/////
Answer:
C.
Step-by-step explanation:
A and D are incorrect because there is one outlier in the lower graph, and there are no signs of clusters on the graph, making B wrong as well. This leaves the only answer, C, which makes sense because there is a positive correlation of a line.