Answer: Resistance = 0.8106 ohms.
Step-by-step explanation:
Electrical resistance is proportional to the length of a wire.
The relationship between resistance and length of a wire can be expressed as;
L1/R1 = L2/R2
Let L1 = 160 ft, R1 = 16.212 ohms
L2 = 8ft, R2 = ?
Substitutes all the parameters values into the formula
160/16.212 = 8/R2
Cross multiply
160R2 = 129.696
R2 = 129.696/160
R2 = 0.8106 ohms.
Therefore, the resistance of 8 ft. of wire will be 0.8106 ohms.
Line j is a straight line. Line j is a straight line. 2 lines come out of the line to form 4 angles. From top left, clockwise, the angles are: x, y, z, w. Which equation represents the relationship between the measures of Angle w and Angle z? Measure of angle w = measure of angle z Measure of angle w + measure of angle z = 90 degrees Measure of angle w + measure of angle z = 100 degrees Measure of angle w + measure of angle z = 180 degrees
Answer:
c
Step-by-step explanation:
In the given line the relationship between angle w and z is Measure of angle w + measure of angle z = 180 degrees.
What is a supplementary angle?This is the type of angle that when measured, two of the angles would sum up to 180 degrees.
The supplementary angle is the sum of angle w + angle z = 180 degrees. Hence c is correct.
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According to the graph, what is the value of the constant in the equation
below?
Answer:
A, 0.4
Step-by-step explanation:
took the test! saw the other answer was wrong
The constant in the equation is 0.24
Data;
height = 0.8width(1) = 0.5width(2) = 0.8constant = ?ConstantTo find the constant in this data, we are given a formula which is
[tex]height = \frac{constant}{width}[/tex]
But the width can be found from subtracting the values from two consecutive width
[tex]width = 0.8 - 0.5 = 0.3[/tex]
The height that corresponds to this width is 0.8.
Let's substitute this in the formula and solve
[tex]height = \frac{constant}{width} \\constant = height * width\\constant = 0.8 * 0.3 = 0.24[/tex]
The constant in the equation is 0.24
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Can someone help I’m struggling
What is the surface area of a right cylinder which has a base with radius 9 units and has a height of 12 units?
Answer: C
Step-by-step explanation:
The formula for surface area of a cylinder is A=2πrh+2πr². Since we know the radius and height, we can directly plug it into this formula to find surface area.
A=2π(9)(12)+2π(9²)
A=2π(108)+2π(81)
A=216π+162π
A=378π
A=1186.92 units²
ΔABC has been translated right to create triangle ΔXYZ. Based on this information, which of the following is a true statement? answers: A) ≅ B) ≅ C) ∠A ≅ ∠C D) ∠B ≅ ∠X
Answer:
None. (or B)
Step-by-step explanation:
A) AC≅ZY
B) AZ≅
C) ∠A ≅ ∠C
D) ∠B ≅ ∠X
Options C and D are not true and Options A is wrong and B is incomplete but using process of elimination, the answer is probably B.
The resulting information will be ∠ A ≅ ∠ X, ∠ B ≅ ∠ Y and ∠ C ≅ ∠ Z and AB ≅ XY, BC ≅ YZ and AC ≅ XZ
What is translation transformation?A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
Given that, Δ ABC has been translated right to create triangle Δ XYZ
We know that in translation transformation, in translation, only the position of the object changes, its size remains the same.
That means Δ ABC ≅ Δ XYZ Therefore, we get,
Congruent parts are;
Angles:-
∠ A ≅ ∠ X,
∠ B ≅ ∠ Y and
∠ C ≅ ∠ Z
Side:-
AB ≅ XY,
BC ≅ YZ and
AC ≅ XZ
Hence, The resulting information will be ∠ A ≅ ∠ X, ∠ B ≅ ∠ Y and ∠ C ≅ ∠ Z and AB ≅ XY, BC ≅ YZ and AC ≅ XZ
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Please help me is about polynomials
Answer:
(x + 3)(x² – 3x + 7)
Step-by-step explanation:
To express x³ + 2x + 21 in the form of (x + 3)(px² + qx + r),
we need to divide (x³ + 2x + 21) by
(x + 3), since (x + 3) is a factor of
(x³ + 2x + 21)
See attached photo on how to divide (x³ + 2x + 21) by (x + 3).
From the attached photo,
(x³ + 2x + 21)/ (x + 3) = x² – 3x + 7
Therefore,
x³ + 2x + 21 => (x + 3)(px² + qx + r)
x³ + 2x + 21 => (x + 3)(x² – 3x + 7)
A rabbit can run 45 miles in 15 minutes what is the unit rate
Answer:
A rabbit can run 3 miles in one minute.
Step-by-step explanation:
45 : 15
3 : 1
A rabbit can run 3 miles in one minute.
(a) The perimeter of a rectangular parking lot is 332 m.
If the width of the parking lot is 75 m, what is its length?
Length of the parking lot:
m
Answer:
Step-by-step explanation:
Perimeter of the rectangle = 332m
Perimeter of a rectangle = 2(L+b)
Breadth = 75m
= 2 ( L + 75) = 332
2L + 150 = 332
2L = 332-150
L = 182/2
L= 91m
These triangles are NOT similar! Why not?
Use calculations AND words to explain.
Answer:
Similar triangles are (roughly speaking) triangles that have the same angles and the same ratio of the length of their sides
We can use ratios to show that the triangles are not similar
14:20 as a fraction is 14/20 as a decimal is 0.7
12:16 as a fraction is 12/16 as a decimal is 0.75
The side lengths are not the same proportion as shown by the different decimal, so the triangles are not similar
The probability of an outcome that lies within 95% of the mean is a good indicator that it lies in which standard deviation?
a. There is a probability that the outcome is within 1 standard deviation of the mean.
b. There is a probability that the outcome is within 2 standard deviations of the mean.
c. Standard deviations are not reliable, so the probability cannot be determined.
d. There is a probability that the outcome is within 3 standard deviations of the mean.
Answer:
answer b
Step-by-step explanation:
Answer b is definitely the correct one.
The Empirical Rule states that 68% of normally distributed data lies within 1 standard deviation of the mean; 95% within 2 standard deviations, and 99.9% within 3.
The probability of an outcome that lies within 95% of the mean is a good indicator b is definitely the correct one.
We have given that,
a. There is a probability that the outcome is within 1 standard deviation of the mean.
b. There is a probability that the outcome is within 2 standard deviations of the mean.
c. Standard deviations are not reliable, so the probability cannot be determined.
d. There is a probability that the outcome is within 3 standard deviations of the mean.
What is the Empirical Rule state?The Empirical Rule states that 68% of normally distributed data lies within 1 standard deviation of the mean; 95% within 2 standard deviations, and 99.9% within 3.
The probability of an outcome that lies within 95% of the mean is a good indicator b is definitely the correct one.
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Given that tan θ = –8∕15 and θ is in quadrant IV, find sin θ. Question 19 options: A) 15∕17 B) –15∕17 C) –8∕17 D) 8∕17
Answer: C
Step-by-step explanation:
In the quadrant IV, it is only a cos θ that is positive.
Given that tan θ = –8∕15
Where tan θ = opposite ÷ adjacent
Where opposite = 8 and adjacent = 15
We can find the hypothenus by using pythagorean theorem
Hypothenus = sqrt(15^2 + 8^2)
Hypothenus = sqrt(289)
Hypothenus = 17.
Sin θ = opposite ÷ hypothenus
Sin θ = 8/17
Since Sin θ is also negative in the fourth quadrant, therefore
Sin θ = - 8/17
Option C is correct.
Please answer this question ASAP
Factorise 5– 10m
Thanks
Answer:
[tex]5(1-2m)[/tex]
Step-by-step explanation:
[tex]5-10m[/tex]
Find the greatest common factor of the expression.
The GCF is 5.
[tex]5(1)+5(-2m)[/tex]
[tex]5(1-2m)[/tex]
The required factor of the expression is [tex]5 (1-2m)[/tex].
We have to determine, Factorize the given expression 5– 10m.
GCF of any of factor, to study multiplications and comprehend, which factor belongs to which the whole number.
To obtain the greatest common factor, it can be obtain in a following steps.
The greatest common factor is given by,
[tex]= 5-10m[/tex]
Step 1 ; The term 10m return in the form of multiplication,
[tex]5 - 5 \times2 m[/tex]
Step2; Taking the same term 5 common.
[tex]5 ( 1-2m)[/tex]
Hence, The required factor is [tex]5 (1-2m)[/tex].
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What is the surface area of the triangular prism? A triangular prism. The rectangular sides are 24 feet by 40 feet, 40 feet by 15 feet, and 40 feet by 15 feet. The triangular sides have a base of 24 feet and height of 9 feet. 2,001 square feet 2,376 square feet 2,592 square feet 4,320 square feet
Answer:
Surface area of triangular prism is:
Surface area = 2376ft
Step-by-step explanation:
A triangular prism is the one which has 3 rectangular sides and 2 triangular sides. To find the surface area of a triangular prism, we have to find the surface area of 3 rectangular side and 2 triangular sides and add them up
Surface Area (rectangle) = Length · Width
Surface Area (triangle) = (1/2)(Base)(Height)
Rectangular side 1:
Length = 40 ft
Width = 24 ft
Surface Area = 40 · 24
Surface Area = 960ft
Rectangular side 2:
Length = 40 ft
Width = 15 ft
Surface Area = 40 · 15
Surface Area = 600ft
Rectangular side 3:
Length = 40 ft
Width = 15 ft
Surface Area = 40 · 15
Surface Area = 600ft
Triangular side 1:
Base = 24 ft
height = 9 ft
Surface Area = (1/2)(24)(9)
Surface Area = 108ft
Triangular side 2:
Base = 24 ft
height = 9 ft
Surface Area = (1/2)(24)(9)
Surface Area = 108ft
SURFACE AREA OF TRIANGULAR PRISM:
Add all surface areas found above
Surface area = 960 + 600 + 600 + 108 + 108
Surface area = 2376ft
Answer:
Answer:
(B) Surface area of triangular prism is:
Surface area = 2376ft
Step-by-step explanation:
A triangular prism is the one which has 3 rectangular sides and 2 triangular sides. To find the surface area of a triangular prism, we have to find the surface area of 3 rectangular side and 2 triangular sides and add them up
Surface Area (rectangle) = Length · Width
Surface Area (triangle) = (1/2)(Base)(Height)
Classify the following triangle as acute, obtuse, or right.
80°
A. Obtuse
B. Acute
C. Right
D. None of these
Answer: I'm guessing it's acute
Step-by-step explanation:
Since all the angles are less that 90 degrees, it can't be right or obtuse. I'm gonna say acute
A bridge constructed over a bayou has a supporting arch in the shape of an inverted parabola. Find the equation of the parabolic arch if the length of the road over the arch is 100 meters and the maximum height of the arch is 40 meters.
Answer:
y = (-2/125)(x - 50)² + 40
Step-by-step explanation:
The total length of the bridge is 100 meters.
Maximum height always occurs at midpoint of x.
So for x=50 meters , y = 40 meters.
As the vertex is given at the maximum height, Vertex can be defined at the point (50,40)
We know that the general equation for vertical parabola is:
y = a(x - h)² + k
Where (h,k) = Vertex = (50,40)
Substitute in the equation:
y = a(x - 50)² + 40 ⇒ Equation (i)
We know 2 more points on the parabola. We know that when x=0 , y=0 and we also know that when x=100m, y=0 meters.
Substitute any point in the above equation
Substituting (100,0) in the equation
0 = a(100 - 50)² +40
Solve the equation for a:
a = - 2/125
Substitute a in Equation (i)
y = (-2/125)(x - 50)² + 40
what is the factored form of[tex]-2mn + 5m^3n^2[/tex]
Step-by-step explanation:
factor out mn ..polynomial
[tex] - 2 + 5n {}^{4} \: is \: not \: factored \: as \: it \: dosent \: hav e \: any \: rational \: roots \: \\ mn( - 2 + 5n {}^{2} n {}^{2} )[/tex]
On a coordinate plane, 2 exponential functions are shown. Function f (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 0.5) and goes through (1, 4). Function g (x) approaches y = 0 in quadrant 3 and decreases into quadrant 4. It crosses the y-axis at (0, negative 0.5) and goes through (1, negative 4).
Which function represents g(x), a reflection of f(x) = Two-fifths (10)x across the x-axis?
g(x) = Negative two-fifths(10)x
g(x) = Negative two-fifths (one-tenth) Superscript x
g(x) = Two-fifths (one-tenth) Superscript negative x
g(x) = Two-fifths(10)-x
Answer:
g(x) = Negative two-fifths(10)x
Step-by-step explanation:
In order to reflect a function over the x-axis, you have to multiply the function by minus one.
Given the function:
f(x) = 2/5(10)^x
Its reflection over the x-axis is:
-f(x) = -2/5(10)^x = g(x)
Answer:
answer is A
Step-by-step explanation:
How is the expression (5 + y) ⋅ 8 described by its factors and terms? It has two factors and the factor (5 + y) has one term. It has three factors and the factor (5 + y) has one term. It has three factors and the factor (5 + y) has two terms. It has two factors and the factor (5 + y) has two terms.
Answer:
A
It has two factors and the factor (5 + y) has one term.
Step-by-step explanation:
5 + y is one term because y is just 1 term
pls brainliest
2+2=4 then what is 4+4 ps. just get some brainly points
Answer:
8
Step-by-step explanation:
because yes.
Which is the equation of the parabola?
coordinate plane with a parabola facing up with vertex at 4 comma 2, the point 4 comma 6 and a horizontal line going through 0 comma negative 2
y = one sixteenth(x − 4)2 + 2
y = one sixteenth(x + 4)2 − 2
y = −one sixteenth(x − 2)2 + 4
y = −one sixteenth(x + 2)2 − 4
Answer: y = one sixteenth(x − 4)^2 + 2
Step-by-step explanation:
If the parabola is written as:
y = a*x^2 + b*x + c
then if the graph opens up, then a must be positive, so we can discard the third and fourth options, we remain with:
y = 1/6*(x - 4)^2 + 2 = 1/6x^2 - (8/6)*x + (16/6 + 2)
y = 1/6*(x + 4)^2 - 2 = 1/6x^2 + (8/6)*x + (16/6 - 2)
the vertex (4, 2)
then
x = -b/2a = 4.
this means that a and b must be of different sign, then the only correct option can be:
y = 1/6*(x - 4)^2 + 2 = 1/6x^2 - (8/6)*x + (16/6 + 2)
where:
x-vertex = (8/6)/(2/6) = 4 as we wanted.
when we evaluate this function in x = 4 we get
y = 1/6*( 4 - 4)^2 + 2 = 2.
So the correct option must be: y = one sixteenth(x − 4)2 + 2
Answer: The correct answer is the first answer, a. y = one sixteenth(x − 4)2 + 2
A trust fund yields a 6% simple interest dividend to its members' accounts every month. If a member has $5,000 in the fund's account, how much money would be in that account after 3 months? **100 points and will give brainliest
Answer:
I believe that the answer would be $4,100
Step-by-step explanation:
5,000x0.06x3=900
5,000-900=4,100
Determine the value of x in the figure answers: x =43 x = 8 x = –4 x = 4
Answer:
x = 4
Step-by-step explanation:
Since the two base angles are equal, the sides must be equal
4x-8 = x+4
Subtract x from each side
4x-x -8 = x+4-x
3x -8 =4
Add 8 to each side
3x-8+8 = 4+8
3x= 12
Divide by 3
3x/3 = 12/3
x = 4
2. Which of the following methods can't be used to find the zeros of a function?
options:
A. Substitute x = 0 in the function and solve for f(x).
B. Graph the function using a table of values.
C. Factor the function and apply the zero-product property to its factors.
D. Apply the quadratic formula.
Answer:
The correct option is;
Substitute x = 0 in the function and solve for f(x)
Step-by-step explanation:
The zeros of a function are the values of x which produces the value of 0 when substituted in the function
It is the point where the curve or line of the function crosses the x-axis
A. Substituting x = 0 will only give the point where the curve or line of the function crosses the y-axis,
Therefore, substituting x = 0 in the function can't be used to find the zero's of a function
B. Plotting a graph of the table of values of the function will indicate the zeros of the function or the point where the function crosses the x-axis
C. The zero product property when applied to the factors of the function equated to zero can be used to find the zeros of a function
d, The quadratic formula can be used to find the zeros of a function when the function is written in the form a·x² + b·x + c = 0
Answer: Substitute x = 0 in the function and solve for f(x).
Step-by-step explanation:
Compute the permutations and combinations. A company has 10 men qualified to run a machine that requires 3 operators at a time. Find how many groups of 3 operators are possible. 240 720 120
Answer:
120
Step-by-step explanation:
To solve this question we would be using combination formula.
The formula for combination is given as:
C(n, r) = nCr
nCr = n!/r! ×(n - r)!
In the above question,
n = 10 men
r = 3 operators
Hence,
nCr = n!/r! × (n - r)!
10C3 = 10! /3! × (10 - 3)!
10C3 = 10!/3! × 7!
10C3 = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 /(3 × 2× 1 ) ×(7 × 6 × 5 × 4 × 3 × 2 × 1)
10C3 = 10 × 9 × 8 / 3 × 2× 1
10C3 = 720/6
10C3 = 120
Therefore, the number of groups of 3 operators that are possible is 120.
On Wednesday, a local hamburger shop sold a combined total of 372 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Wednesday?
Answer:
93 hamburgers
Step-by-step explanation:
let cheeseburgers=c
let hamburgers=h
c=3h
c+h=372
Substitute c for 3h
3h+h=372
4h=372
h=93
c=h*3=93*3=279
279 cheeseburgers 93 hamburgers
Find the value of y.
Answer:
y = [tex]\frac{4\sqrt{3} }{3}[/tex]
Step-by-step explanation:
We are working with 30-60-90 triangles, and to solve for y we need to know the hypotenuse of the smaller triangle.
You can get that by finding the smaller value of the larger triangle.
[tex]\frac{8}{\sqrt{3} } =\frac{x}{1}[/tex]
x[tex]\sqrt{3}[/tex] = 8
x = [tex]\frac{8}{\sqrt{3} }[/tex]
x = [tex]\frac{8\sqrt{3} }{3}[/tex]
That is the hypotenuse of the smaller triangle. To find y...
[tex]\frac{(\frac{8\sqrt{3} }{3}) }{2} =\frac{y}{1}[/tex]
2y = [tex]\frac{8\sqrt{3} }{3}[/tex]
y = [tex]\frac{4\sqrt{3} }{3}[/tex]
Hope this helps!
Ken started a savings account for school. He plans on spending 10% of the money he earns for leisure activities. He needs to have $2,160 in the bank before he starts school. how much must he earn to have the amount needed for school?
Answer:
He must earn $2,400 to cover both leisure and $2,160 for school expenses.
Step-by-step explanation:
Let the total amount Ken must earn be k. Then 10% of that would cover leisure activities and the remaining 90% specifically for school expenses.
Then 0.90k = $2,160, and k = $2,400.
He must earn $2,400 to cover both leisure and $2,160 for school expenses.
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:B.
Step-by-step explanation:
Solve the inequality. 3(7z + 1) less than 3 The solution set is z | ?
Answer:
z=1
Step-by-step explanation:
3x7z+1
21z+3
divided by 3
7z
divide by 7
z=1
Answer:
Z<0
Step-by-step explanation:
21z+3<3
21z<3-3
21z<0
Z<0
The temperature changed from 78°F to 70°F in the past hour. Write an absolute value statement to describe how much the temperature decreased.
Answer:
|78|-|70| = 8
Step-by-step explanation: