Answer: No
Step-by-step explanation: The two variable, lets say that y = x5
This is an ex. of. a related function
If its and inequality, ex. y < x5 This can not be a function for it doesnt have an equal sign
A person 6 feet tall casts a shadow 4 feet long. At the same time, a nearby tower casts a shadow 32 feet long. How many feet are in the height of the tower?
Answer:
48
Step-by-step explanation:
First 4 is 2/3 of 6 feet
Thus 32 is 2/3 of x
How do we find X
32 divided by 2 is 16
16 plus 32 = 48
What is the conjugate of 4+i?
Answer:
4-i
Step-by-step explanation:
The complex conjugate means take the imaginary term and negate it
4+i becomes 4-i
4-i is the complex conjugate
One uranium atom has a diameter of 3.5x10^-8 centimeters. What is the sum of 10,000 uranium atoms'
diameters, in centimeters, written in standard notation?
Answer:
3.5 * 10^-4 centimeters
Step-by-step explanation:
Here, we have one uranium atom having a diameter of 3.5 * 10^-8 centimeters.
We now want to find the sum of 10,000 uranium atoms diameters
Mathematically;
That would be ;
3.5 * 10^-8 * 10,000
But 10,000 = 10^4
Thus, we have
3.5 * 10^-8 * 10^4
= 3.5 * 10^-4 centimeters
Spencer built a tower of blocks that was 3.2 centimeters high. He used 2 identical blocks to build the tower. What was the height of each of the blocks?
Answer:
1.8
Step-by-step explanation:
Hope this helps
How far will you go if you travel 40 mph for 3.44 hours? Round your answer to the
nearest hundredth.
Answer:
600
Step-by-step explanation:
Answer:
d=rt
Step-by-step explanation:
r=40mph x t=3.44 multiply those two and you get your distance
1367.6 miles if you round off =138 miles so d=138 ;)
How can you determine whether a shape is congruent to another shape?
You can determine whether a shape is congruent to another by determining whether a sequence of rigid
motions (select) v write one of the two shapes as a transformation of the other shape.
Answer: Two polygons are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal. Move your mouse cursor over the parts of each figure on the left to see the corresponding parts of the congruent figure on the right.
hope this helps:)
Step-by-step explanation:
Evaluate the function f(x) at the given numbers (correct to six decimal places) rx) = , x- 0,-0.5,-0.9,-0.95, -0.99,-0.999, -2, -1.5, -1.1, -1.01, -1.001 5x- 6 r-0.95) = r-0.99) = r-0.999) = f-1.01 - r-1.001) = Guess the value of the limit of DNE.) x) as x approaches-1, correct to six decimal places. (If an answer does not exist, enter lim
The value of f(-0.95) is 10.75, the value of f(-0.99) is 10.95, and the value of f(-0.999) is 10.995. The value of the limit of f(x) as x approaches -1 is -11, correct to six decimal places.
Given that the function is f(x) = 5x - 6.
The function is evaluated at different values of x such as
x = 0, -0.5, -0.9, -0.95, -0.99, -0.999, -2, -1.5, -1.1, -1.01, and -1.001.
Using the above values, the function is evaluated as follows:
f(0) = 5(0) - 6 = -6
f(-0.5) = 5(-0.5) - 6 = -8.5
f(-0.9) = 5(-0.9) - 6 = -10.5
f(-0.95) = 5(-0.95) - 6 = -10.75
f(-0.99) = 5(-0.99) - 6 = -10.95
f(-0.999) = 5(-0.999) - 6 = -10.995
f(-2) = 5(-2) - 6 = -16
f(-1.5) = 5(-1.5) - 6 = -13.5
f(-1.1) = 5(-1.1) - 6 = -11.5
f(-1.01) = 5(-1.01) - 6 = -11.05
f(-1.001) = 5(-1.001) - 6 = -11.005
The value of f(-0.95) is 10.75, the value of f(-0.99) is 10.95, and the value of f(-0.999) is 10.995.
Therefore, the value of the limit of f(x) as x approaches -1 is -11, correct to six decimal places.
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Simplify the expression to a polynomial in standard form
(-2x – 1)(-3x2 + 6x + 8)
Simplifying the polynomial expression, (-2x – 1)(-3x² + 6x + 8), in its standard form would give us: 6x³ - 9x² - 22x - 8.
What is a Polynomial in Standard Form?A polynomial in standard from is an algebraic expression that has the term with the highest degree placed first.
Given:
(-2x – 1)(-3x² + 6x + 8)
Expand
-2x(-3x² + 6x + 8) -1(-3x² + 6x + 8)
6x³ - 12x² - 16x + 3x² - 6x - 8
Add like terms
6x³ - 9x² - 22x - 8
Therefore, simplifying the polynomial expression, (-2x – 1)(-3x² + 6x + 8), in its standard form would give us: 6x³ - 9x² - 22x - 8.
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Abby's school is 6 blocks west of her house. Her mother works at a store that is 4 blocks east of her school. Use a number line to model the location of each building relative to the others, where east is represented by positive numbers and west is represented by negative numbers. What value represents the difference in position between Abby's house and her mother's store?
Answer:
10Step-by-step explanation:
Let us give a proper illustration in the number line
let H be Abby's house
and S be the school
let W be her mother's work.
kindly find attached a rough sketch of the number line for your reference
Question: What value represents the difference in position between Abby's house and her mother's store?
basically, the distance between two points on a number line is the difference between the points.
So the value that represents the position between Abby's house and her mother's store is the distance between the two points.
= 4-(-6)
=4+6
=10
is -14 a real number
Answer: -14 is a real number
Step-by-step explanation: real numbers include rational numbers and irrational numbers and they can even be negative numbers.
You have a coupon worth $18 off the purchase of a scientific calculator. At the same time the calculator is offered with a discount of 15%, but no further discounts may be applied.
Answer: $102
15% + x = 18
0.15x = 18
x = 120
120 - 18 = 102.
Answer = 102
Please I need delates of 27
field. 27. Prove in detail that Q(√3+√√7) = Q(√3, √√7). 28 Generalizing Exercise 27 show that if at /h +0. then Of Tat Octa Th) for all a and hin
To prove that Q(√3+√√7) is equal to Q(√3, √√7), we need to show that both sets contain the same elements. Therefore, x is an element of Q(√3+√√7).
To prove that Q(√3+√√7) = Q(√3, √√7), we need to demonstrate that both sets contain the same elements.
Let x be an arbitrary element in Q(√3+√√7). By definition, this means x can be expressed as:
x = a(√3+√√7), where a is a rational number.
Expanding the expression, we have:
x = a√3 + a√√7
Now, we can rewrite this expression as:
x = (b√3) + (c√√7), where b = a and c = a.
This shows that x can also be expressed as a linear combination of √3 and √√7. Therefore, x is an element of Q(√3, √√7).
Conversely, if x is an element of Q(√3, √√7), then it can be expressed as:
x = b√3 + c√√7, where b and c are rational numbers.
We can rewrite this expression as:
x = (a√3) + (a√√7), where a = b + c.
This shows that x can also be expressed as a linear combination of √3+√√7. Therefore, x is an element of Q(√3+√√7).
Since every element in Q(√3+√√7) is also in Q(√3, √√7), and vice versa, we can conclude that Q(√3+√√7) = Q(√3, √√7).
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Prove in detail that Q(√3+√√7) = Q(√3, √√7). 7
show that if at /h +0. then Of Tat Octa Th)
Laney bought a set of 20 markers for six dollars what is the cost of one marker
If (-3,5) and (3,-5) are two points that lie on function f, then is f even, odd, or neither?
f(-3) ≠ f(3) and f(-3) ≠ -f(3), which means that the function f does not satisfy the properties required for it to be even or odd.
To determine whether the function f is even, odd, or neither, we need to evaluate the symmetry of the function with respect to the y-axis and the origin.
For a function to be even, it must satisfy the property f(x) = f(-x) for all values of x in the function's domain. This means that if we substitute -x for x in the function, we should obtain the same output as when we evaluate the function at x.
For a function to be odd, it must satisfy the property f(x) = -f(-x) for all values of x in the function's domain. This means that if we substitute -x for x in the function, we should obtain the negative of the output we obtain when we evaluate the function at x.
Let's evaluate the function f using the given points (-3,5) and (3,-5):
For the point (-3,5):
f(-3) = 5
For the point (3,-5):
f(3) = -5
We can see that f(-3) ≠ f(3) and f(-3) ≠ -f(3), which means that the function f does not satisfy the properties required for it to be even or odd.
We can conclude that the function f is neither even nor odd.
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A rectangular mural measures 1.3 feet by 4.8 feet. harmony creates a new mural that is 0.6 feet longer. what is the perimeter of harmony`s new mural?
The Perimeter of Harmony's new mural is 13.4 feet.
To determine the perimeter of Harmony's new mural, we need to use the formula for the perimeter of a rectangle, which is:P = 2l + 2w
where P represents the perimeter, l represents the length, and w represents the width of the rectangle. The units of measurement are in feet.
Given that the rectangular mural measures 1.3 feet by 4.8 feet, we can plug these values into the formula to find the perimeter of the original mural:P = 2(1.3) + 2(4.8)P = 2.6 + 9.6P = 12.2
Therefore, the perimeter of the original mural is 12.2 feet.
Now, Harmony creates a new mural that is 0.6 feet longer than the original mural. This means that the length of the new mural is 1.3 + 0.6 = 1.9 feet.
To find the perimeter of the new mural, we need to plug this new length into the same formula:P = 2l + 2wP = 2(1.9) + 2(4.8)P = 3.8 + 9.6P = 13.4
Therefore, the perimeter of Harmony's new mural is 13.4 feet.
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Find the unit rate. _____ (number) per ounce
$1.29 for 20.5 oz.
Answer:
15.8914728682 is the long answer, but simplified, it's 15.9
Step-by-step explanation:
Just do 20.5 ÷ 1.29
Which graph shows a set of ordered pairs that represent a function?
On a coordinate plane, solid circles appear at the following points: (negative 2, 3), (negative 1, 2), (1, 1), (2, negative 1), (2, negative 3), (4, negative 5).
On a coordinate plane, solid circles appear at the following points: (negative 4, negative 4), (negative 2, 2), (1, 1), (2, negative 5), (4, negative 3), (4, 4).
On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 2, 2), (0, 1), (1, 3), (2, negative 4), (4, negative 1).
On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 2, 1), (negative 2, negative 1), (0, negative 2), (0, negative 4), (2, negative 5).
on a coordinate plane solid circle appear at the following points : negative 4,2 negative 2,1 negative 2 negative 1 0 , negative 2 0 negative 4 2 negative 5
Answer:
C
Step-by-step explanation:
I'm doing the unit test right now so this is what I'm going for :>
Hope this helps! :)
PLEASE HELP IM CONFUSED! Find what the measurements of angles a-c are and state the reason
Answer:
<a = 90° (180-90 supplementary angle)
<b = 90° (180-90 supplementary angle)
<d = 48° (180-132 supplementary angle)
<e = 132° (opposite angle)
<c = 42° (interior angles of a triangle equal 180. 180-48-90=42)
Step-by-step explanation:
<a = 90° (180-90 supplementary angle)
<b = 90° (180-90 supplementary angle)
<d = 48° (180-132 supplementary angle)
<e = 132° (opposite angle)
<c = 42° (interior angles of a triangle equal 180. 180-48-90=42)
Which graph represents the function f(x) = x1 - 22
Answer:
A
Step-by-step explanation:
what is the value of cos(45-beta)
Answer:
Step-by-step explanation:
cos (x-y)=cos x cos y+sin x sin y
cos(45-β)=cos~45~cos~β+sin~45~sin~β
[tex]cos~45=sin~45=\frac{1}{\sqrt{2} }\\cos (45-\beta )=\frac{1}{\sqrt{2} } ~cos~\beta +\frac{1}{\sqrt{2} } ~sin~\beta \\=\frac{1}{\sqrt{2} } (cos~\beta +sin~\beta )[/tex]
what fraction of £5 is 75p
Answer:
I can't understand what's you writing.
Suppose the average yearly salary of an individual whose final degree is a masters is $49 thousand less than twice that of an individual whose final degree is a bachelors. Combined two people with each of the educational attainments earn $113 thousand
Answer:
Masters = 59,000
Bachelors = 54,000
Step-by-step explanation:
Given that:
individual whose final degree is a masters is $49 thousand less than twice that of an individual whose final degree is a bachelors
Let masters salary = m
Bachelors salary = b
m = 2b - 49000 - - - (1)
m + b = 113,000 - - - (2)
From (2)
m = 113,000 - b
Substitute m = 113,000 - b into (1)
113,000 - b = 2b - 49000
113000 + 49000 = 2b + b
162000 = 3b
b = 162000/3
b = $54000
Hence,
Masters salary :
m = 113,000 - b
m = 113,000 - 54,000
m = 59,000
Alice has a piece of ribbon that is 4.5 feet long. If she cuts the ribbon into 0.9 foot sections, how many sections will she have?
Answer:
6.9
Step-by-step explanation:
FOR 100pst
Graph the line that represents this equation:
y + 2 = 1/2(x + 2)
Answer:
just look at the picture
Step-by-step explanation:
Answer:
You can do it on a graphing calculator.
Step-by-step explanation:
I can't put a link on here, but I put an image for the link to an online graphing calculator.
Also, here is the picture of the graph.
write each equation in vertex form. then identify the vertex, axis of symmetry and direction of opening. y=x^2+8x+\:18 , y=-\:x^2\:\:12x\:-\:36 and y=2x^2\:+\:12x\:+\:13
The equation in vertex form is y = 2(x+3)² + 1. The vertex is (-3,1), the axis of symmetry is x = -3, and the direction of opening is upwards.
The vertex form of the equation is y = a(x-h)^2 + k, where (h, k) is the vertex. The axis of symmetry is x = h, and the direction of opening is determined by the value of a.
Using this formula, let us write each equation in vertex form and then identify the vertex, axis of symmetry, and direction of opening.
1. y = x² + 8x + 18
To write this equation in vertex form, we need to complete the square. y = x² + 8x + 18 is equivalent to y = (x+4)² - 2. Therefore, the equation in vertex form is y = (x+4)² - 2.
The vertex is (-4,-2), the axis of symmetry is x = -4, and the direction of opening is upwards.2
. y = -x² - 12x - 36To write this equation in vertex form, we need to complete the square. y = -x² - 12x - 36 is equivalent to y = -(x+6)² - 12. Therefore, the equation in vertex form is y = -(x+6)² - 12.
The vertex is (-6,-12), the axis of symmetry is x = -6, and the direction of opening is downwards.3. y = 2x² + 12x + 13To write this equation in vertex form, we need to complete the square. y = 2x² + 12x + 13 is equivalent to y = 2(x+3)² + 1.
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the volume of a tree stump can be modeled by considering it as a right cylinder. evelyn measures its circumference as 197 in and its volume as 92650 cubic inches. find the height of the stump in feet. round your answer to the nearest tenth if necessary.
The height of the tree stump is 2.48 feet.
To find the height of the tree stump, we can use the formula for the volume of a right cylinder: [tex]V = \pi r^2h[/tex], where V represents the volume, r represents the radius, and h represents the height.
Given that the circumference of the tree stump is measured as 197 inches, we can use the formula for the circumference of a circle: C = 2πr, where C represents the circumference.
From the given circumference, we can solve for the radius, r, by dividing the circumference by 2π: r = C / (2π).
Plugging in the given circumference of 197 inches, we have: r = 197 / (2π) ≈ 31.416 inches.
Now, we can substitute the known values of the volume and radius into the volume formula: 92650 = π(31.416)^2h.
To solve for the height, h, we divide both sides of the equation by π(31.416)^2: h = 92650 / (π(31.416)^2) ≈ 29.74 inches.
Since we want to convert the height from inches to feet, we divide the height by 12: h = 29.74 / 12 ≈ 2.48 feet.
Therefore, the height of the tree stump is approximately 2.48 feet.
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How to workout fractions
Answer:
ex : 8/5
you divided the numerator by the denominator and it because a decimal
so ur answer for 8/5 would be 1.6
not really sure if this is what ur looking for but thats how u convert a fraction to a decimal
Good luck <3
pls help have to turn in soon
Answer:
The one you already have selected along with
428
Step-by-step explanation:
anything to the 0 power is itself
Here is a net made of right triangles and rectangles. All measurements are given in centimeters. Three rectangles in a row measuring 6 by 4, 6 by 5, and 6 by 3. The left rectangle is bordered on the top by a right triangle with side lengths 4, 3, and 5. The right rectangle is bordered on the bottom by a right triangle with side lengths 3, 4, and 5. What is the surface area of the polyhedron? Explain your reasoning.
Answer:
a. 84 cm² b. The area of the polyhedron is found by finding the sum of the areas of each individual shape.
Step-by-step explanation:
a. The area of the polyhedron is gotten by finding the area of each individual shape.
The area of the left rectangle with sides 6 by 4 is 6 cm × 4 cm = 24 cm²
The area of the middle rectangle with sides 6 by 5 is 6 cm × 5 cm = 30 cm²
The area of the right rectangle with sides 6 by 3 is 6 cm × 3 cm = 18 cm²
The area of the triangle on the left rectangle is found using heron's formula where area A = √[s(s -a)(s -b)(s -c) where s = (a + b + c)/2 and a, b and c are the sides of the rectangle.
Since the rectangle has sides 4, 3 and 5, a = 4, b = 3 and c = 5
So, s = (a + b + c)/2 = s = (4 + 3 + 5)/2 = 12/2 = 6
A = √[s(s -a)(s -b)(s -c)
= √[6(6 - 4)(6 - 3)(6 - 5)
= √[6(2)(3)(1)
= √36
= 6 cm²
The area of the triangle on the right rectangle is found using heron's formula where area A = √[s(s -a)(s -b)(s -c) where s = (a + b + c)/2 and a, b and c are the sides of the rectangle.
Since the rectangle has sides 3, 4 and 5, a = 3, b = 4 and c = 5
So, s = (a + b + c)/2 = s = (3 + 4 + 5)/2 = 12/2 = 6
A = √[s(s -a)(s -b)(s -c)]
= √[6(6 - 3)(6 - 4)(6 - 5)]
= √[6(3)(2)(1)
= √36
= 6 cm²
The surface area of the polyhedron is the sum of all the areas. So, A = 24 cm² + 30 cm² + 18 cm² + 6 cm² + 6 cm² = 84 cm²
b. Explain your reasoning
The area of the polyhedron is found by finding the sum of the areas of each individual shape.
−12.405 as a mixed number in simplest form.
Answer:
-12 81/200
Step-by-step explanation:
That is the simplest it will go.
