Answer:
See solutions below
Step-by-step explanation:
Match the range of the function f(x)=x^2+2x-1 to its domain
Domains of the function are the input values x i.e 2, -2, 3 and 3
corresponding f(x) for each values are the range
when x = 2
f(2)=2^2+2(2)-1
f(2) = 4 + 4 - 1
f(2) = 7
when x = -2
f(-2)=(-2)^2+2(-2)-1
f(-2) = 4 - 4 - 1
f(-2) = -1
when x = 3
f(3)=3^2+2(3)-1
f(3) = 9 + 6 - 1
f(3) = 14
when x = -3
f(-3)=(-3)^2+2(-3)-1
f(-3) = 9 -6 - 1
f(-3) = 2
What is the median of the data set? {5, 3, 4, 2, 6} Enter your answer in the box. Round to the nearest tenth.
The best answer will receive brainiest.
Answer:
4
Step-by-step explanation:
To find median, arrange the data set in ascending order. Then the middle term is the median
2 , 3 , 4 , 5 , 6
Median = 3rd term = 4
Answer:
4 is the median
Step-by-step explanation:
From least to greatest:
2,3,4,5,6
Since the total values is odd, the middle number is the median
4 is the median
what is the volume of a right triangular prism whose height is 20 units and whose base is a right triangle with side lengths of 3,4, and 5?
Mario tiene 4 pantalones de diferente color (azul, café, negro y blanco) y 6 camisas también de diferente color (blanca, negra, azul, café, gris y verde). Si Mario escoge una combinación al azar, ¿cuál es la probabilidad de que se vista con pantalón azul y camisa blanca?
find the value of x for both problems.
Answer:
Step-by-step explanation:
In Problem 6, 3/x = tan 30 degrees, or x/3 = 1 / (tan 30 degrees), or
x = 3 / (tan 30 degrees). Using a calculator: x = 3 / (0.449) = 6.68 units
In Problem 9, we begin by finding the length of the hypotenuse of the upper triangle: sin 60 degrees = 9√3 / hypotenuse, or
hypotenuse = 9√3/ (√3 / 2) = 9/2. Then the hypotenuse of the 45-45-90 triangle is 9/2. Thus, cos 45 degrees = x / (9/2), or
2x √3
---- = -------
9 2
9√3
Cross-multiplying, we get 4x = 9√3, so that x = -------------
4
Help pls I’m on a time limit. Please and thank you <33
Answer: the answer is 3/10
Step-by-step explanation: because its 3/10
Answer:
es
3/ 10
Step-by-st
HELP PWEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
rap music
Step-by-step explanation:
^
Answer:
i’m not sure if these are right or not but
Step-by-step explanation:
the first one is no
i think the second one is no
i think the third one is yes
i think the fourth one is yes
i am not sure and i’m REALLY sorry if its wrong
How many real solutions exist for this system of equations? Y = -x + 1 y = -x2 + 4x − 2 A. Zero B. One C. Two D. Infinite
Answer:
Two solutions
Step-by-step explanation:
Given the functions Y = -x + 1 y = -x² + 4x − 2
Since they are both y values, we will equate them to have:
-x+1 = -x² + 4x − 2
Equate to zero
x²-x-4x+1+2=0
x²-5x+3 = 0
Since the resulting equation is quadratic (highest degree being 2), hence there will be two solutions to the equation
Tina drew a triangle with side lengths 6, 8, and 14. She claims it is a right triangle. Is she correct?
Answer:
No such a triangle can not exist.
We know the following about the transformation A:
A ï1 0 ò=ï2 0 ò
and A ï0 1 ò=ï1 1 ò
73.1 Draw C2 and A(C2), the image of the unit square under A.
73.2 Compute the area of A(C2).
73.3 Compute det(A).
73.1 A(C2) is a quadrilateral with vertices (0, 0), (1, 0), (1, 2), and (0, 2).
73.2 The area of A(C2) is 2.
73.3 The determinant of A is 0
To draw C2 and A(C2), to understand the transformation A and to the unit square.
Given the information:
A:
| 1 0 |
| 2 0 |
A maps the vector [1, 0] to [2, 0], and it maps the vector [0, 1] to [1, 1]. This provides us with the information to draw C2 and A(C2).
73.1 Draw C2 and A(C2):
C2 represents the unit square with vertices (0, 0), (1, 0), (1, 1), and (0, 1).
To draw A(C2), the transformation A to each vertex of C2 and connect the transformed vertices to form the image of C2 under A.
Applying A to the vertices of C2:
A(0, 0) = (1 × 0, 2 × 0) = (0, 0)
A(1, 0) = (1 × 1, 2 × 0) = (1, 0)
A(1, 1) = (1 × 1, 2 × 1) = (1, 2)
A(0, 1) = (1 × 0, 2 × 1) = (0, 2)
Connecting the transformed vertices, we get the image of C2 under A:
73.2 Compute the area of A(C2):
To compute the area of A(C2), divide it into two triangles and calculate their areas separately.
Triangle 1: (0, 0), (1, 0), (1, 2)
Base of Triangle 1 = 1 - 0 = 1
Height of Triangle 1 = 2 - 0 = 2
Area of Triangle 1 = (1/2) × Base × Height = (1/2) × 1× 2 = 1
Triangle 2: (0, 0), (0, 2), (1, 2)
Base of Triangle 2 = 1 - 0 = 1
Height of Triangle 2 = 2 - 0 = 2
Area of Triangle 2 = (1/2) × Base × Height = (1/2) × 1 × 2 = 1
Total Area of A(C2) = Area of Triangle 1 + Area of Triangle 2 = 1 + 1 = 2
73.3 Compute det(A):
To compute the determinant of A (denoted as det(A)), use the formula for a 2x2 matrix.
A:
| 1 0 |
| 2 0 |
det(A) = (1 ×0) - (0 × 2) = 0 - 0 = 0
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Write an expression in factored form to represent the area of each shaded region. Include the area formula and full steps and write your answer in simplified form. 3x a) (3 marks) 3x + y 2x +y 3x b) 3y (3 marks) B 2x 2x
a. The area of the shaded region = (3x)(5x + 2y).
b. The area of shaded region = 2x(2xπ - 3x).
Given that,
We have to write an expression in factored form to represent the area of each shaded region.
We know that,
a. In the picture we can see that the shaded region.
The area of the shaded region is area of rectangle with vertical + area of rectangle Horizontal
The area of rectangle is length × width.
The area of the shaded region = (3x)(3x + y) + (2x + y)(3x)
The area of the shaded region = (3x)(3x + y + 2x + y)
The area of the shaded region = (3x)(5x + 2y)
Therefore, The area of the shaded region = (3x)(5x + 2y)
b. In the picture we can see that circle with shaded region,
The area of shaded region is area of the circle - area of the rectangle
The area of the circle is πr² and area of rectangle is length × width.
The area of shaded region = πr² - (l×w)
The area of shaded region = π(2x)² - (2x × 3x)
The area of shaded region = 4x²π - 6x²
The area of shaded region = 2x(2xπ - 3x)
Therefore, The area of shaded region = 2x(2xπ - 3x).
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encontre as raízes quadradas dos números:
a)²√625
25
porque al multiplicar 25×25 nos da 625
Answer:
25
Step-by-step explanation:
25x25=625
What’s the opposite of -5/8
A 5 meter ladder is leaning against a house when its base starts to slide away. By the time the base is 3 meter from the house, the base is moving at the rate of 2 m/sec. (a) How fast is the top of the ladder sliding down the wall then? (b) At what rate is the angle between the ladder and the ground changing then?
(a) The top of the ladder is sliding down the wall at a rate of 3/2 m/sec.
(b) The angle between the ladder and the ground is changing at a rate of 1/2 rad/sec.
To solve this problem, we can use related rates, considering the ladder as a right triangle formed by the ladder itself, the wall, and the ground.
Let's denote:
x: the distance from the base of the ladder to the house (in meters)
y: the height of the ladder on the wall (in meters)
θ: the angle between the ladder and the ground (in radians)
Given:
dx/dt = -2 m/sec (the rate at which the base of the ladder is moving away from the house)
Using the Pythagorean theorem, we have:
x^2 + y^2 = 5^2 (since the ladder has a length of 5 meters)
Taking the derivative of both sides with respect to time (t), we get:
2x(dx/dt) + 2y(dy/dt) = 0
(a) To find dy/dt:
We can solve the equation above for dy/dt:
2x(dx/dt) + 2y(dy/dt) = 0
2(3)(-2) + 2y(dy/dt) = 0 (substituting x = 3 and dx/dt = -2)
-12 + 2y(dy/dt) = 0
2y(dy/dt) = 12
dy/dt = 12/(2y)
dy/dt = 6/y
Now, we need to find y. Using the Pythagorean theorem again:
x^2 + y^2 = 5^2
3^2 + y^2 = 5^2
9 + y^2 = 25
y^2 = 25 - 9
y^2 = 16
y = 4 (taking the positive value as y represents a length)
Substituting y = 4 into dy/dt = 6/y:
dy/dt = 6/4
dy/dt = 3/2 m/sec
Therefore, the top of the ladder is sliding down the wall at a rate of 3/2 m/sec.
(b) To find dθ/dt:
We can use trigonometry to relate θ, x, and y:
tan(θ) = y/x
Differentiating both sides with respect to time (t), we get:
sec^2(θ)dθ/dt = (x(dy/dt) - y(dx/dt))/x^2
Substituting the given values:
sec^2(θ)dθ/dt = (3(3/2) - 4(-2))/3^2
sec^2(θ)dθ/dt = (9/2 + 8)/9
sec^2(θ)dθ/dt = (25/2)/9
sec^2(θ)dθ/dt = 25/18
Since sec^2(θ) is equal to 1 + tan^2(θ) and tan(θ) = y/x:
sec^2(θ) = 1 + (y/x)^2
sec^2(θ) = 1 + (4/3)^2
sec^2(θ) = 1 + 16/9
sec^2(θ) = (9 + 16)/9
sec^2(θ) = 25/9
Substituting sec^2(θ) = 25/9 into the equation:
(25/9)dθ/dt = 25/18
Simplifying and solving for dθ/dt:
dθ/dt = (25/18) * (9/25)
dθ/dt = 1/2 rad/sec
Therefore, (b) the angle between the ladder and the ground is changing at a rate of 1/2 rad/sec.
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You invest $32,000 in an account that earns 5.75% interest compounded yearly. What is
the total amount of money you will have in the account after 20 years if you never
deposit any additional funds?
Answer:
$97,894.33.
Step-by-step explanation
Use the box method to distribute and simplify (2 + 1)(2x - 3). Drag and drop the
terms to the correct locations of the table.
Answer:
2x^2-x-3
(2x)(-3)
(x)
(1)
Step-by-step explanation:
Distribute
(2x^2) (-3x)
(2x) (-3)
A rectangular prism has a base perimeter of 28 inches and a height of 6 inches. What is the lateral surface area of the prism?
Answer:
uhuhuhuhuhuhuhuhuhuhuh oh yeah
Step-by-step explanation:
What is the smallest solution to the equation 3x2 - 16 = 131?
Answer:
7,-7 are the solutions
Step-by-step explanation:
Not a perfect square so its
+-7
I would go with -7 since its the lowest amount
Answer:
-7
Step-by-step explanation:
find the area of this polygon
Answer:
answer is 65 in²
hope this helps
Can someone please help me with math
Answer:
A. 20.2 ft
Step-by-step explanation:
use the pythagorean theorem to get your answer.
a^2+b^2=c^2
17^2+11^2=c^2
289+121=410
***IMPORTANT, remember to square root the answer. 410 isn't your final answer, it's still in c^2 form. 20.2 is the correct answer after square rooting it. don't forget that for future problems
Answer:
A. 20.2 ft
Step-by-step explanation:
Hope it helps..
Saul decides to use the IQR to measure the spread of the data. Saul calculates the IQR of the data set to be . Saul asks Jasmine to check his work. Saul copies the data in numerical order from least to greatest for Jasmine.
The question is incomplete. The compete question is :
Saul decides to use the IQR to measure the spread of data. Saul calculates the IQR of the data set to be 27. Saul asks Jasmine to check his work. Saul copies the data in numerical order from least to greatest for Jasmine. 25, 30, 50, 50, 50, 50, 56, n, 250. What is the value of n that will make the IQR of the data set equal to 27?
Solution :
The inter quartile range is being measured as : 3rd quartile - 1st quartile
The 1st quartile = 25% mark
The 3rd quartile = 75% mark
The data set as given in the question is :
25, 30, 50, 50, 50, 50, 56, n, 250
Therefore, the total number of the sample = 9
And the median is = 50
The median separates the given data sets into two equal halves-- that is the upper half and the lower half.
Let the middle of a lower half is the 1st quartile be [tex]$Q_1$[/tex]
And the middle of a 2nd half is the 3rd quartile be [tex]$Q_3$[/tex]
∴ [tex]$Q_1=\frac{30+50}{2}$[/tex]
[tex]$=40$[/tex]
[tex]$Q_3=\frac{56+n}{2}$[/tex]
Now for the IQR of the data set to be equal to [tex]$27$[/tex],
[tex]$\frac{56+n}{2}-40=27$[/tex]
[tex]$\frac{56+n}{2}=27+40$[/tex]
[tex]$\frac{56+n}{2}=67$[/tex]
[tex]$56 +n=134$[/tex]
[tex]$n=134-56$[/tex]
[tex]$n=78$[/tex]
Im giving brainliest
Answer:
√17 - 3 > -2 + √5There are 40 batteries in 10 packs.
Gavin wants to know how many batteries are in 1 pack.
Kylie wants to know how many batteries are in 5 packs.
Drag an expression to answer each question.
Help me Please I would appreciate your help!
:-):-):-):-):-)
Step-by-step explanation:
1) 40÷10
2) 40÷2
Please help me, GodBless.
Answer:
Rate of change is 1
Step-by-step explanation:
Well rate of change in a function is basically slope
theres 1 rise and.1 run
1/1=1
So rate of change is 1
What is the probability of 4 consecutive 2-sided coin tosses all coming up heads?
The probability of getting four consecutive heads in four 2-sided coin tosses is 1/16 or 0.0625 or 6.25%.
The Probability is defined as a measure of the likelihood or chance that an event will occur, expressed as a value between 0 and 1, where 0 represents impossibility and 1 represents certainty.
To calculate the probability of getting four consecutive heads in a row, we multiply the probabilities of each individual toss.
The Probability of heads (H) is = 1/2,
So, The Probability of four consecutive heads (HHHH) is :
= (1/2) × (1/2) × (1/2) × (1/2) = (1/2)⁴ = 1/16,
Therefore, the required probability is 1/16 or 6.25%.
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Compute r''(t) and r'''(t) for the following function. r(t) = (9t² +6,t + 5,6) Find r'(t). r(t) = 0.00
The derivatives of the vector function are r'(t) = (18 · t, 1, 0), r''(t) = (18, 0, 0) and r'''(t) = (0, 0, 0).
How to determine the first three derivatives in a vector functionIn this question we find the definition of a vector function in terms of time, whose first, second and third derivatives must be found. This can be done by using derivative rules several times. First, define the vector function:
r(t) = (9 · t² + 6, t + 5, 6)
Second, find the first derivative:
r'(t) = (18 · t, 1, 0)
Third, find the second derivative:
r''(t) = (18, 0, 0)
Fourth, find the third derivative:
r'''(t) = (0, 0, 0)
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In desperate need of help. If anyone could help it would be greatly appreciate. Will rate brainliest!
Answer:
7 people
Step-by-step explanation:
Chocolate: 350 / 100 = 3.5 x 2 = 7
Butter: 45 / 10 = 4.5 x 2 = 9
Eggs: 8 / 2 = 4 x 2 = 8
The amount of chocolate is the limiting factor as you have enough eggs for 8 people and enough butter for 9 people, but only enough chocolate for 7 people
Simplify this expression
Make r the subject of x=e+r/d
Answer:
r = dx - de
Step-by-step explanation:
x = e + r/d
x - e = r/d
d (x - e) = r
dx- de = r
r = dx - de
What’s the website in this image called?
Use the following diagram to answer question 4 and 5
Exterior Angle Theorem
8.6 points
The measure of ZA is
Given the following diagram, find the measures of
LA and ZB
Type your answer...
B (2x + 4)
5
8.6 points
The measure of ZB is
Type your answer...
(3x - 13)
116°
А
Answer:
3x-13+2x+4=116( the sum of two interior angle is epual to the sum of exterior angle )
5x =116-9
5x=107
x=21.4 degree
then
angle a= 3*21.4-13
a=51.2degree
angle b=2*21.4+2
b =44.8degree
Step-by-step explanation:
plz make me brainliest