Answer:
The answer is option B.
f(x) = 5x² - 3
g(x) = x² - 4x - 8
(f - g)(x) = 5x² - 3 - ( x² - 4x - 8)
= 5x² - 3 - x² + 4x + 8
= 4x² + 4x + 5 option B
Hope this helps.
(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
50% of what number is 307
Answer:
614
Step-by-step explanation:
Let the number be x.
50% × x = 307
0.5x = 307
x = 307/0.5
x = 614
50% of 614 is 307.
Answer:
614
Step-by-step explanation:
50% means half. So,
x ÷ 2 = 307
x = 307 × 2
x = 614
Have a blessed day!
What is the end behavior of the function f(x)=54x2? As x→∞, f(x)→−∞ As x→−∞, f(x)→−∞ As x→∞, f(x)→∞ As x→−∞, f(x)→∞ As x→∞, f(x)→∞ As x→−∞, f(x)→−∞ As x→∞, f(x)→−∞ As x→−∞, f(x)→∞
Answer:
3f(x)
3x^2
12
-x+6
0
Step-by-step explanation:
Fashoo
Simon is trying to figure out how much it will cost to buy 30 cases of water for a school picnic. How much will Simon pay for 30
cases of water?
Water Prices by the Case
Number of cases
Price in dollars
15
66.00
20
88.00
35
154.00
$99.00
$119.00
$121.00
$132.00
Answer:
132 dollars, I think
Step-by-step explanation:
15*2=30
66*2=132
Answer:
D
Step-by-step explanation:since 15 cases is $66 multiply 66 by 2 to get $132
Purple square equals to ________?
Answer: its 3
Step-by-step explanation:
Answer: 2
Step-by-step explanation: Because their are 2 squares
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.
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)
Determine the possible side lengths of the third side of a triangle with known side lengths of 5 and 8.
Answer:
Answer:
3 < c < 13
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) = 5
side (b) = 8
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
= 8 - 5 < c < 8 + 5
= 3 < c < 13
(1−cos^2 x )·(1+tan^2 x)
Answer:
[tex](1-cos^2 x ).(1+tan^2 x) = tan^2x[/tex]
Step-by-step explanation:
Given
[tex](1-cos^2 x ).(1+tan^2 x)[/tex]
Required
Solve
[tex](1-cos^2 x ).(1+tan^2 x)[/tex]
In trigonometry;
[tex]1 - cos^2x = sin^2x[/tex]
So, make substitution
[tex](1-cos^2 x ).(1+tan^2 x)[/tex] becomes
[tex](1-cos^2 x ).(1+tan^2 x) = (sin^2 x ).(1+tan^2 x)[/tex]
Also; in trigonometry:
[tex]1 + tan^2x = sec^2x[/tex]
Make another substitution
[tex](1-cos^2 x ).(1+tan^2 x) = (sin^2 x ).(sec^2 x)[/tex]
Recall that [tex]secx = \frac{1}{cosx}[/tex]
So;
[tex](1-cos^2 x ).(1+tan^2 x) = (sin^2 x ).(sec^2 x)[/tex] becomes
[tex](1-cos^2 x ).(1+tan^2 x) = (sin^2 x ).(\frac{1}{cos^2 x})[/tex]
[tex](1-cos^2 x ).(1+tan^2 x) = \frac{sin^2 x }{cos^2 x}[/tex]
[tex](1-cos^2 x ).(1+tan^2 x) = (\frac{sin x }{cosx})^2[/tex]
In trigonometry;
[tex]tan x = \frac{sin x}{cos x}[/tex]
[tex](1-cos^2 x ).(1+tan^2 x) = tan^2x[/tex]
The expression cannot be further simplified
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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How much pure water must be mixed with 10 liters of a 25% acid solution to reduce it to a 10% acid solution? 11 L 15 L 25 L
10 L of a 25% acid solution contains 0.25 * (10 L) = 2.5 L of acid.
Adding x L of pure water dilutes the solution to a concentration of 10%, such that
(2.5 L)/(10 L + x L) = 0.10
Solve for x :
2.5 = 0.10 * (10 + x)
2.5 = 1 + 0.10x
1.5 = 0.10x
15 = x
so 15 L of pure water are needed.
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
Which is the expected value of the random variable with the given probability distribution?
a 5.65
C. 12.52
b. 100.44
d. 5
Please select the best answer from the choices provided
A
B
С
D
The probability distribution is given below:
[tex]\left|\begin{array}{c|ccccc}Outcome& 0& 1& 5& 10& 1000\\Probability& 0.33& 0.32& 0.24& 0.10& 0.01\end{array}\right|[/tex]
Answer:
C. 12.52
Step-by-step explanation:
Given the probability distribution below:
[tex]\left|\begin{array}{c|ccccc}Outcome& 0& 1& 5& 10& 1000\\Probability& 0.33& 0.32& 0.24& 0.10& 0.01\end{array}\right|[/tex]
Expected Value of the random variable
=(0 X 0.33)+(1 X 0.32) +(5 X 0.24) +(10 X 0.10) + (1000 X 0.01)
=0+ 0.32+1.2+1+10
=12.52
The correct option is C.
Answer:
D
Step-by-step explanation:
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
Susan wants to make 2 square flags to
sell at a crafts fair. The fabric she wants
to buy is 5 meters wide. She doesn't
want any fabric left over. What's the
least amount of fabric she should buy?
Answer:
10 meters
Step-by-step explanation:because they are square and they would have to be 5 meters long and she dose not want any left over so...
Here are the monthly charges for jo’s Mobile phone. Monthly charge £16,150 free minutes,then 13p per minute,150 free texts,then 15p per text during one month,jo makes 170 minutes of calls and sends 182 texts. Work out the total charge for the month can anybody tell me the answer
Answer:
Step-by-step explanation:Jo's Mobile Plan:
Fixed monthly charge = £16
Monthly 150 free minutes, post that 13p (or £0.13) per minute,
Monthly 150 free texts, post that 15p (or £0.15) per text
Jo's mobile phone usage details:
170 minutes of calls
182 texts
Total Charges for Jo = Fixed Monthly Charge + Charges for Calls + Charges for Texts
⇒ Total Charges for Jo = 16 + (170-150) × 0.13 + (182-150) × 0.15
⇒ Total Charges for Jo = 16 + (20) × 0.13 + (32) × 0.15
⇒ Total Charges for Jo = 16 + 2.6 + 4.8
⇒ Total Charges for Jo = 23.4
Hence, Jo should be charged £23.4 for the month.
A coordinate plane. A line has a slope of –3/2 and has a y-intercept of 3. What is the x-intercept of the line? –3 –2 2 3
Answer:
x-intercept is equal to 2 (Option 3)
Step-by-step explanation:
Slope = m = -3/2
y-intercept = b = 3
Putting in the slope-intercept form
=> y = [tex]\frac{-3}{2} x+3[/tex]
For finding x- intercept, y must be equal to 0
=> 0 = (-3/2)x+3
=> -3/2 x = -3
=> 3/2 x = 3
=> 3x = 6
Dividing both sides by 3
=> x = 2
Answer:
the third option 2
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
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:B.
Step-by-step explanation:
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:
Joel, a tutor at the Math Help, decided that it would be a good
idea to drive his motorcycle off of a ramp. His height during the
jump is modeled by the equation: h=-0.2+ + 2t + 1. where h is his
height in metres, and t is time in seconds. What is the maximum
height Joel reaches on his bike, and when does he reach this height?
Answer:
The maximum height reached by Joel was 6 units.
Step-by-step explanation:
There seems to be a typo in the equation that models the Joel's jump. I'll assume it actually is [tex]h(t) = -0.2*t^2 + 2*t + 1[/tex], because that kind of movement is usually modeled with quadratic equations such as this. With this in mind, in order to find the maximum height Joel reached we need to calculate the vertex of this equation. The vertex of a quadratic equation [tex]y(x) = a*x^2 + b*x + c[/tex] can be calculated with the following expression:
[tex]x_{vertex} = \frac{-b}{2*a}[/tex]
While the "y", is found by applying the x coordinate of the vertex onto the equation. In the case of our problem a = -0.2, b = 2 and c = 1. Therefore the vertex can be found at:
[tex]t_{vertex} = \frac{-2}{2*(-0.2)} = \frac{-2}{-0.4} = 5[/tex]
Therefore the maximum height is:
[tex]h(5) = -0.2*(5)^2 +2*5 + 1\\h(5) = -5 + 10 + 1 = 6[/tex]
The maximum height reached by Joel was 6 units.
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]
If abc def, which congruence are true by cpctc? Check all that apply
Answer:
C, D and E
Step-by-step explanation:
From the congruence postulate, CPCTC(Corresponding parts of congruent triangles are congruent) The following are congruent and corresponding:
=> AC = DF
=> <A = <D
=> BC = EF
Answer: If you have different answers the answers are
C=F and AB=DE
Step-by-step explanation:
How many solutions does the following system of equations have? y=5/2x+2 and 2y=5x+8
Answer:
No solutions.
Step-by-step explanation:
y = 5/2x + 2
2y = 5x + 8
Plug the first equation into the second.
2(5/2x + 2) = 5x +8
5x + 4 = 5x + 8
5x + 4 cannot equal 5x + 8, so this system of equations has no solutions.
3 more sentences to describe the line plot picture above
Answer:
1) Length 22 and 26 have the same amount of desks that have the same length
2) Lengths 21, 23, 25, and 27 have the equal amount of tables
Step-by-step explanation:
3) There are 12 desks in total
Explanation of Sentence 1 is that lengths 22 and 26 both have 3 tables that are its length
Explaination of Setence 2 is that lengths 21, 23, 25, and 27 all have 1 desk that is its length
Explaination of sentence 3 is that there are 12 desks that are measured.
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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.
At a sale this week, a sofa is being sold for $429. This is a 34% discount from the original price. What is the original price
Answer:
$574.86
Step-by-step explanation:
429 + 34% = $574.86
without seeing a figure is it possible to give another name for
Answer:
no
Step-by-step explanation:
In one city, customers must pay 6% on all items purchased. The video game controllers cost $18.50 each. If a customer purchases 2 controllers, how much tax will she pay? A. $1.11 B. $2.22 C. $19.61 D. $39.22
Answer: B $2.22
Step-by-step explanation:
2 controllers will cost
= 2 x 18.50 = 37
6% tax = 37 x 0.06 = 2.22
Answer:
B
Step-by-step explanation:
i took the test
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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