x + yi = (1 + i)⁴
then -4 + 4 = x
The car that Ms. Garcia is buying comes with a choice of 3 trim lines (standard, sport, or luxury), 2 types of transmission (automatic or manual), and 8 colors. How many different option packages does Ms. Garcia have to choose from? Explain.
Answer:
Number of different options for Ms. Garcia are
3 * 2 * 8 = 48
So 48 options
Step-by-step explanation:
There are m ways to make 1st selection and n ways to make 2nd selection and p ways to make 3rd selection so thats why I did (m * n * p)
Without using a calculator, determine the value of: sin 60° x tan30° sec45°
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
I've used 'unit triangles' to calculate various trig values without a calculator at all!
Please look at my image that I've attached. It includes all the steps necessary to find the answer to your question.
I've assumed prior knowledge of Pythagoras's Theorem & SOHCAHTOA.
Please give comments if you need further explanation from me!
Best of luck, Kenny!
11. Graph.
y - 2 = -2 (x + 2)
Answer:
y=-2x
Step-by-step explanation:
should look like a straight line, that is going up to the left. crossing (0,0) and (1,-2)
Write this percentage as a fraction in its simplest form. 50 %
Answer:
1/2
Step-by-step explanation:
50/100 = 5/10 =1/2
in it's simplest form
;)
Why is cereal is packaged in rectangular boxes?
Answer:
A rectangular solid offers more volume while still maintaining a width acceptable to be gripped by one hand. Considering the average grip width available to humans is a couple inches wide, cereal boxes conform to this to allow one handed pouring.
Step-by-step explanation:
Try writing this on your own words if you want :)
fine the value please, giving BRAINLIEST
help me with this question please!!!!
Answer:
i believe its the second
Step-by-step explanation:
so sorry if im wrong
Help me with this question please
Answer:
A) D) F)
Step-by-step explanation:
A) Since the graph is 10x10, and there are 10 seasons, it makes sense for A) to be an option
D) There is a total of 50 values that will be on the verticle axis, which seems like a fair number when the highest value is 37
F) (Season 8, 30 average points per game)
I need help, question is in image.
Answer:
[tex]9 > x > - 4[/tex]
9 is greater than x and -4 is less than x
Answer:
- 4 < x < 9
Step-by-step explanation:
given 9 is greater than x then x is less than 9 and - 4 < x , so
- 4 < x < 9
PLSS HELPP
Question 13 of 40
-
-
If f(x) = 2x² - 5 and g(x) = x² - 4x − 8, find (f – g)(x).
Options:
A. (f - g)(x) = -x^2 - 13
B. (f - g)(x) = x^2 + 4x + 3
C. (f - g)(x) = x^2 - 4x - 3
D. (f - g)(x) = 3x^2 - 4x - 13
Answer:
[tex](f - g)(x) = x^2 + 4x + 3[/tex]
Step-by-step explanation:
[tex]f(x) = 2x^2 - 5g(x) = x^2 - 4x - 8(f - g)(x)=2x^2 -5 - (x^2 -4x-8)[/tex]
[tex]= 2x^2 -5 -x^2 +4x+8[/tex] ----------> distribute
[tex]= x^2 +4x +3[/tex] ------------> combine like terms
Therefore, Option B is the correct answer.
-3/5, 6/5, -12/5 whats the next term of the geometric sequence?
Answer:
24
Step-by-step explanation:
The numerators are being multiplied by -2
A kite has a part of a diagonal measure of 2.7 in and another part of 1.4 in find the area of the entire kite
Answer:
1.89 inch²
Explanation:
[tex]\sf \boxed{\sf \dfrac{pq}{2} } \ \ \ where \ p \ and \ q \ are \ the \ diagonals \ of \ the \ kite[/tex]
Here given:
diagonal 1: 2.7 inchdiagonal 2: 1.4 inchFind the Area:
[tex]\rightarrow \sf \dfrac{2.7 \ x \ 1.4}{2} \ = \ 1.89 \ in^2[/tex]
WILL GIVE BRAINLIEST!!!!
Which of the following is an example of an exponential function?
f(x) = 4x^3 + 2x^2 – 3x + 9
g(x) = log2(x)^3
h of x equals the quantity x squared plus 2x minus 7 end quantity divided by the quantity x plus 1
p(x) = 500(1.02)^x
Exponential functions are known to increase geometrically. An example of exponential function is p(x) = 500(1.02)^x
Exponential functionsExponential functions are known to increase geometrically. The standard exponential function is given as:
y = ab^x
a is the base
x is the exponent
From the given options, the function written in this form is
p(x) = 500(1.02)^x. Hence an example of exponential function is
p(x) = 500(1.02)^x
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1. Use the function f (x) to answer the questions:
f(x) = 2x^2 − 3x − 5
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
2. The graph below shows a company's profit f(x), in dollars, depending on the price of pens x, in dollars, sold by the company: (picture of graph attached below)
Graph of quadratic function f of x having x intercepts at ordered pairs 0, 0 and 6, 0. The vertex is at 3, 120.
Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)
Part B: What is an approximate average rate of change of the graph from x = 3 to x = 5, and what does this rate represent? (3 points)
Part C: Describe the constraints of the domain. (3 points)
I promise to give braInliest to the correct answer.
Answer:
A vertical shift is when the graph literally moves vertically, up or down. The movement is all based on what happens to the y-value of the graph. The y-axis of a coordinate plane is the vertical axis. When a function shifts vertically, the y-value changes.
Step-by-step explanation:
What is the length of line segment b c? round to the nearest tenth. 14.3 in. 20.5 in. 21.3 in. 22.6 in.
The given figure is a triangle with 3 sides and angles. The length of BC as shown in the diagram is 20.5in
SOH CAH TOA identityThe given figure is a triangle with 3 sides and angles. In order to determine the length of BC, we will use the expression given:
cos 35 = a/25
where a = BC
cos 35 = BC/25
BC = 25cos 35
BC = 20.5in
Hence the length of BC as shown in the diagram is 20.5in
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A discrete random variable is a variable that is randomly chosen and can take
on an infinite number of values over a specific range.
a. true
o
b. false
Answer:
false
Step-by-step explanation:
Find h(j+1) if h(x)=4x² + 3x - 2
Answer:
h(j+1) = 4j² +11j +5
Step-by-step explanation:
A function is evaluated for a specific argument by substituting that argument for the variable in the function's expression. Then the expression is simplified.
__
For function ...
h(x) = 4x² +3x -2
The value of h(j+1) is ...
[tex]h(j+1)=4(j+1)^2 +3(j+1)-2\\\\= (4(j+1)+3)(j+1)-2=(4j+7)(j+1)-2=4j^2+11j+7-2\\\\\boxed{h(j+1)=4j^2+11j+5}[/tex]
Need help please answer asap
#13
x²+3x-2-(2x²-x+6)x²+3x-2-2x²+x-6-x²+4x-8Option D
#14
.(a²+b²)²(a²)²+(b²)²+2a²b²a⁴+2a²b²+b⁴Answer:
13. (4) -x² + 4x - 8
14. (3) a⁴ + 2a²b² + b⁴
Step-by-step explanation:
Question 13
x² + 3x - 2 - [2x² - x + 6]x² - 2x² + 3x + x - 2 - 6(4) -x² + 4x - 8Question 14
(a² + b²)²(a²)² + 2(a²)(b²) + (b²)²(3) a⁴ + 2a²b² + b⁴If a sprinkler rotated 90˚, paused, and then rotated another 90˚, how many degrees
did it rotate altogether
Answer:
180°
Step-by-step explanation:
Since a sprinkler rotates 90°, pauses,and then rotates another 90°
So, here total degrees be like
= 90° + 90°
= 180°
hence, The number of degrees did it rotate altogether should be considered as the 180 degrees.
What is ∑n=15[5(−2)n−1] equal to?
Answer:
Although the notation is sloppy, I will assume based on former questions of the same that "∑n=15[5(−2)^n−1]" translates mathematically to . Please correct me, though, if this in incorrect.
Anyway, there is neat formula that will deal with question very quickly. It is the following:
Sn is the sum of the geometric series
a1 is the first term in the series
r is the common ratio
n is the number of terms in the finite geometric series
Let's use this formula to our advantage! However, there are two variables that we do not know: a1 and n. Let's start with a1.The first term in the series is when n=1, so let's determine what that is.
The expression ∑n = 15 [5 (−2) n − 1] is equal to 5/16384.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example: so
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
First, let's understand the notation.
∑n = 15 represents the sum of the expression that follows for n starting from 15, and the expression is 5 (−2) n − 1.
So, we need to find the sum of 5 (−2) n − 1 from n = 15 to n = 15, which means there is only one term in the sum.
Substituting n = 15, we get:
5 (−2) (15 − 1) = 5 (−2) 14 = 5/16384
Therefore,
The expression ∑n = 15 [5 (−2) n − 1] is equal to 5/16384.
Learn more about expressions here:
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what is the measure of the angle in degrees
Answer:
35°
Step-by-step explanation:
7π=210°
so I assume you just divide 210° by 6 and that comes out to 35°
I HOPE this helps!
This is slightly urgent. Does anyone know how to cross multiply and divide 1/5 and 20/x? It would look like this if you need the equation.
1/5 * 20/x
Answer:
1/5 * 20/x. first do 1× x then do 5×20 and you will get 1x/100
Step-by-step explanation:
sorry this is all i know
Find the height of the triangle. Round the answer to one decimal place.
Answer:
x = 6.4
Step-by-step explanation:
Taking the sin ratio of the angle :
sin 40° = x / 100.64 = x / 10x = 0.64 × 10x = 6.4Tell whether a triangle with the side lengths 65 feet, 72 feet, and 97 feet is a right triangle.
Answer:
when the sum of the squares of the sides are equal to the square of the hypotenuse
Step-by-step explanation:
we use Pythagoras, 97 is the hypotenuse, 65 and 72 the sides.
97² = 65² + 72²
97² = 97²
it is a right triangle
170 over 360 simplify
Answer:
17/36
Step-by-step explanation:
The price of a notebook is 20% less than the price of a book. By
what percent is the price of the book higher than the price of the
notebook?
HELP
Answer:
125%
Step-by-step explanation:
lets just say the book is $100. 20% less would be $80
now to go back to $100, we need to add $20 to $80
20 is 25% of 80, so add the extra 25% to 100% of 80
find the value of x
50°
6
X
Not drawn to scale
Answer:
Hence option C is correct...hope this helps you:)
Many simple quadratic equations have two solution( one positive,one negative)but there is one simple quadratic equation that has only one solution.what is the equation and what is its solution?
Answer:
The answer is ax² + bx + c = 0
Step-by-step explanation:
To make 3 litres of pale purple paint you mix:
1.5 litres red
1.25 litres of blue
0.25 litres of white paint.
a How much red paint is needed to make 8 litres of paint?
Answer:
4 litres.
Step-by-step explanation:
By proportion that would be:
1.5 * 8/3
= 12/3
= 4 litres.
Leon has a piece of cheese shaped like a triangular prism that he needs to wrap in plastic wrap. a triangular prism. the triangular base has a base of 4 inches and height of 3 inches. the height of the prism is 7 inches. what is the minimum amount of plastic wrap that he needs to cover the entire piece of cheese? 42 inches squared 84 inches squared 96 inches squared 108 inches squared
The minimum amount of plastic wrap needed to cover the entire piece of cheese is : 84 squared inches.
What is a triangular prism?A triangular prism is a solid geometrical shape made of three rectangles and two triangles.
Analysis:
base of triangle = 4 inches, height of triangle = 3 inches, length of rectangles = 7 inches
Total surface area of the triangular prism = area of two triangles + plus area of two slant rectangles + area of 1 straight face rectangle.
for the slant rectangle, the width of the rectangle, half the base of the triangle and the height of triangle form right- angled triangle using Pythagoras to solve for the width of the rectangle we have
[tex]l^{2}[/tex] = [tex]2^{2}[/tex] + [tex]3^{2}[/tex]
l = [tex]\sqrt{13}[/tex] = 3.6
Total surface area = 2(1/2bh) + 2(l x b) + L x B
= 2 ( 1/2 x 2 x 3) + 2( 7 x 3.6) + 7 x 4 = 84.4 = 84 squared inches.
in conclusion, the amount of plastic needed is 84 inches squared.
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