Answer:
false
Step-by-step explanation:
these measure do not form a right triangle
Directions: Indicate product of FOIL for the problem
The product of the given binomial is x⁴ -y².
How to find product using FOIL method ?FOIL stands for Firsts , Outsides , Insides , Lasts and while determining product of binomials this sequence is followed.
The binomials given are
( x² +y ) (x² -y)
x² (x² -y) + y * x² + y* (-y)
------------ ------ --------
Firsts Outsides insides Lasts
After simplification
x⁴ - x²y + x²y -y²
x⁴ -y²
The product of the given binomial is x⁴ -y².
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A spiral staircase turns $270^\circ$ as it rises 10 feet. The radius of the staircase is 3 feet. What is the number of feet in the length of the handrail
The number of feet in the length of the handrail is 17.3 ft.
The easiest way to see this is to imagine that we can "unfold" the spiral to create a rectangle
The bottom side of the rectangle is just the arc length of a circle with a radius of 3 ft turned through 270°= (3/4) of a whole revolution
(3/4) (2pi) (3) = (9/2)pi ft = 4.5 pi ft
The side of the rectangle will be the rise of the staircase = 10ft
And the diagonal of the rectangle will be the length of the handrail
We can use the Pythagorean Theorem to solve this
Handrail length = √ [ (4.5 pi)^2 + 10^2 ] ≈ 17.3 ft
Pythagorean theorem is the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.
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Draw triangle ABC with vertics at A(1,6), B (1,1) and C (5,1). In this triangle, AB+ BC=AC. Next use the GeoGebra tools to draw triangle DEF such that AB=DE, meausurement of angle E=90 degrees , and EF=BC. Paste a picture of your drawing in the answer box
The picture of the drawing of triangle ABC with vertices at A(1,6), B (1,1) and C (5,1) is attached below.
What is the triangle about?A triangle is known to be a kind of a polygon that is made up of three edges and also made up of three vertices.
It is regarded as a key shapes in geometry as its vertices is often denoted with A, B, and C.
The points will be taken as: A(1,6), B(1,1) and C (5,1)
=AB + BC = AC
Therefore, The picture of the drawing of triangle ABC with vertices at A(1,6), B (1,1) and C (5,1) is attached below.
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can someone pls define closer property
The closure property is defined below.
What is Closure Property?According to Closure Property, the set of numbers on which the mathematical operation like addition, subtraction, and multiplication are performed the result will be the number of the same set.
An example of this is if addition is done on two whole numbers the output will be a whole number.
The closure Property is valid for Whole numbers, Natural Numbers, Rational Numbers, Real Numbers, and Integers
For Natural Numbers: Addition of a + b = N
(a, b and N = natural numbers)
Thus, the closure property is defined.
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Stephanie is driving a new route from her house to her job, which is 12 1⁄4 miles away. On this route, she will pay a toll every 3 1⁄2 miles, and the cost of each toll is $1.35.
1. How many tolls will Stephanie pay?
2. What is the total cost of a one-way trip?
There are 3 tolls where Stephanie pays $ 4.05.
What is Distance?The distance between two points is the length of the path connecting them.
Here,
Distance covered by Stephanie = 12 1/4 miles
= 12.25 miles
Distance between two toll tax = 3 1/2 miles
= 3.5 miles
Number of Tolls = Total distance covered / Distance between two tolls
= 12.25 / 3.5
= 3.5
≈ 3 tolls.
Cost of 1 toll = $ 1.35
Total amount paid on toll = 3 X 1.35
= $ 4.05
Thus, there are 3 tolls where Stephanie pays $ 4.05.
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The population of fruit flies increases by a factor of 100 each week. How many fruit flies will there be after two weeks if there are 25 fruit flies in the beginning? Write an expression to represent this situation.
25 * (1002)
100 + (100 * 2)
100 + (25 * 2)
2 + (25 * 100)
Answer:
y=250000
Step-by-step explanation:
y=ab^x
y=25*100^2
330 racers, 284 completed, 33 quit,13 were disqualified, what percentage didn't finish?
Answer:
13.94%
Step-by-step explanation:
46 out of 330 did not finish.
46/330 = .139393939...
Multiply by 100 to turn into a percent. Rounding to the hundredths place, you get1 13.94%
Given f(x) = 4x + 1 and g(x) = x^, choose
the expression for (fᵒg)(x).
Answer: 4x^2 + 1
Step-by-step explanation:
I am assuming g(x) = x^2
4(x^2) + 1
4x^2 + 1
Answer:
[tex](fog)(x)=4x^2+1[/tex]
Step-by-step explanation:
Assume [tex]g(x)=x^2[/tex]
[tex](fog)(x)[/tex] is a composition of two functions such that [tex](fog)(x)=f(g(x))[/tex].
Consider the function:
[tex]f(x)=4x+1[/tex]
Replace [tex]x[/tex] with [tex]g(x)[/tex] into the equation:
[tex]f(g(x))=4\cdot g(x)+1[/tex]
Substitute [tex]g(x)=x^2[/tex] on the right side of the equation:
[tex]f(g(x))=4\cdot x^2+1[/tex]
Therefore, the expression for [tex](fog)(x)[/tex] is [tex]4x^2+1[/tex].
Please help, question is below
Answer:
(a) The number of positive zeros is either 2 or 0. The number of negative zeros is either 2 or 0.
Step-by-step explanation:
The possible numbers of real zeros can be found using Descarte's Rule of Signs.
RuleWhen signs of coefficients of terms of the polynomial are listed in order of decreasing degree, the number of sign changes can be counted. That number is the number of possible positive real zeros of the polynomial.
When the signs of odd-degree terms are changed, the number of sign changes becomes the possible number of negative real zeros.
The actual number of real zeros may be less by a multiple of 2. (The zeros may be complex, and complex zeros come in pairs.)
ApplicationThe signs of the terms in the given polynomial are ...
+ - + + + . . . . . 2 sign changes: 2 or 0 positive real zeros
When the signs of odd-degree terms are changed, they become ...
+ + + - + . . . . . 2 sign changes: 2 or 0 negative real zeros
Descarte's rule of signs lets us conclude ...
The number of positive zeros is either 2 or 0. The number of negative zeros is either 2 or 0.__
Additional comment
When we graph the function, we find there are no real zeros. All four of the zeros are complex.
which is longest?
A. the diagonal of a square with 6 cm sides
B. the diagonal of a rectangle with length 7 cm and width 5 cm
C. the hypotenuse of a right triangle with legs 4 cm and 9 cm long
D. the leg of a right triangle with the other leg 10 cm and the hypotenuse 15 cm long
Answer:
12cm
Step-by-step explanation:
where:
c
is the hypotenuse, and
a
and
b
are the other two sides (legs).
Let
a
=
9 cm
Rearrange the equation to isolate
b
2
. Plug in the values for
a
and
c
, and solve.
b
2
=
c
2
−
a
2
b
2
=
(
15 cm
)
2
−
(
9 cm
)
2
Simplify.
b
2
=
225 cm
2
−
81
cm
2
b
2
=
144 cm
2
Take the square root of both sides.
b
=
√
144 cm
2
Simplify.
b
=
12 cm
HELP!
An invertible function is represented by the values in the table.
x −3 −2 −1 0 1 2 3
f(x) 4.4 0.6 −0.8 −1 −1.2 −2.6 −6.4
Which graph shows the inverse of this function?
Using it's concept, it is found that the graph on top right represents the inverse function.
How to find the inverse of a function of pairs (x,y)?The inverse of the function is given by the set that contains point (y,x), that is, the coordinates are exchanged.
Considering the table given, the graph of the inverse function will contain these following points:
(4.4, -3), (0.6, -2), (-0.8, -1), (-1,0), (-1.2, 1), (-2.6, 2), (-6.4, 3).
Hence it is the top right graph.
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find the surface area a planet if its circumference is about 18,000 miles long. Round to the nearest thousand square miles
The surface area of the planet is 103,184,713.4 miles².
What is the surface area?A planet has the shape of a sphere.
The first step is to determine the radius of the planet from the circumference.
Radius = circumference / (π x 2)
18,000 / (3.14 x 2) = 2,866.24 miles
Surface area of a sphere = 4πr²
4 x 3.14 x ( 2,866.24²) = 103,184,713.4 miles²
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Expand and simplify
√2(3-4√2)
[tex]3\sqrt{2} - 4 * (\sqrt{2})^2 = 3\sqrt{2} - 8[/tex]
Answer = [tex]3\sqrt{2} - 8[/tex]
does anyone know how to do this ?
this is your answer
I hope you get your answer
In the diagram below, which two angles form a linear pair.
O 6 and 7
O 6 and 5
O 7 and 5
O 7 and 8
Answer:
6 and 5
Step-by-step explanation:
angles are a linear pair of supplementary angles, if they are directly neighboring, are created by 2 intersecting lines, and sum up to 180°.
the only 2 angles fulfilling all these criteria are 6 and 5.
To calculate a margin of error, you multiply the standard error by the number of standard deviations from the mean, which is also called a _____.
half the confidence interval is the answer.
The margin of error is a statistical measure that explains the difference between the actual and expected results of a random survey sample. Simply put, tolerances allow you to measure the level of unpredictability of your data and findings.
The margin of error is the amount added and subtracted in the confidence interval. The standard error is the standard deviation of the sample statistics when many samples of the same size can be obtained.
E = zs√n. The quantity E is called the margin of error. The margin of error is half the width of the confidence interval. The confidence interval may be given as ˉx ± E. For example, 9.95 ± 0.43.
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Part A Determine whether side-side-angle (SSA) is a valid means for establishing triangle congruence. In this case, you know the measure of two adjacent sides and the angle opposite to one of them. If it is a valid criterion, explain why. If it is not valid, use GeoGebra to create a counterexample demonstrating that it doesn’t work and give an explanation. (Hint: Try constructing a triangle where the known angle is opposite to the shortest known side.) If you construct a counterexample, take a screenshot of your work, save it, and insert the image in the space below.
In the case above, the side-side-angle (SSA) is no valid means for establishing triangle congruence.
What is the triangle congruence about?Using the image attached:
m angle A = M angle A
AB = A¹B¹
BC = B¹C¹
Looking at the image of both angles you will see that both are not congruence because Two triangles can be regarded as congruent if and when all its three corresponding angles or sides are said to be equal and all the three corresponding angles are also said to have equal measure.
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Make a scatter plot of the data. Then find an equation of the quadratic function that models the data.
The equation of the quadratic function that models the data is y = x^2 + 3x + 4
How to determine the scatter plot?A quadratic function is represented as:
y = ax^2 +bx + c
Next, we enter the data values on the table to a graphing calculator.
From the graphing calculator, we have:
a = 1, b = 3 and c = 4
Substitute these values in y = ax^2 +bx + c
So, we have
y = x^2 + 3x + 4
Hence, the equation of the quadratic function that models the data is y = x^2 + 3x + 4 and the scatter plot is (a)
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1.
A factory stacks boxes according to their weights. To provide stability to the stacks of boxes, heavier boxes are placed at the bottom of the stack, and lighter boxes are placed at the top. However, because of the boxes’ material, a box can only be placed on top of another if its weight is exactly half the weight of the lower box. Also, due to the height of the warehouse ceiling, boxes can only be stacked 4 levels high. The factory director has asked for your help in answering some questions about these boxes.
a. Explain how you would find the weight of each stacked box if you knew the weight of the bottom box. Find the weight of each box in a stack of 4 boxes if the bottom box weighs 10 pounds.
b. Eventually, these stacks of boxes will go onto pallets for shipping. We need to know how much each stack weighs in order to know how many stacks we can put on each pallet, but the bottom boxes do not necessarily weigh 10 pounds. In fact, we don’t know how much they weigh at all! Write and simplify an expression to find the weight of one stack of 4 boxes based on the unknown weight of the bottom box.
c. Each stack needs to weigh less than 100 pounds. Write and solve an inequality to find the maximum weight of the bottom box. What would be the possible range of weights for this box? It may help you to consider a graph of the solution to your inequality.
I rlly need help for c, I got the other 2.
Describe the pattern that you see in the table for the right column. Please help me describe it in complete sentences. Extra points!
The pattern on the table is x increases:
The sine of x increasesThe cosine of x increasesThe function sin²(x) + cos²(x) remains constantHow to describe the pattern?The functions on the table of values are:
sin(x), cos(x) and sin²(x) + cos²(x)
To describe the pattern, we simply observe how the values of the function change, as x increases.
As x increases, on the table:
The sine of x increasesThe cosine of x increasesThe function sin²(x) + cos²(x) remains constantRead more about trigonometry functions at:
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If z - 3 is an odd number, which one of the following must be an odd number ?
A) z
B) z - 2
C) z + 3
D) z + 4
Option C) is correct z +3 is also an odd number
z- 3 is odd number,
odd number are given as 1, 3, 5, 7, 9,11,.. etc.
since z - 3 odd number
mean while
if we add 3 to z will also be the odd number cause subtracting 3 twice from z-3 returns the reverse value i.e.
so z + 3 also an odd number.
Thus, z +3 is also an odd number
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State engineers have determined that a bridge cannot carry more than 700,000 pounds evenly dispersed.
The legal limit for 6-axle trucks is 100,000 pounds and the legal limit for Z-axle trucks is 34,000 pounds.
How many 6-axle trucks can travel on the bridge at one time? How many 2-axle trucks? (Assume that
there are no other vehicles on the bridge.) Write an inequality to solve the problem, then graph the solution.
The inequality of the bridge's legal limit 100000x + 34000y ≤ 700000
How to determine the inequalityThe given parameters are:
Maximum = 700,000 pounds6-axle trucks = 100,000 pounds2-axle trucks = 34,000 poundsRepresent the 6-axle trucks with x and the y-axle trucks with y.
So, we have the following inequality
100000x + 34000y ≤ 700000
The number of 6-axle trucks at one time
Here, we assume that y = 0.
So, we have:
100000x ≤ 700000
Divide by 100000
x ≤ 7
Hence, the number of 6-axle trucks at one time is 7
The number of 2-axle trucks at one time
Here, we assume that x = 0.
So, we have:
34000x ≤ 700000
Divide by 34000
x ≤ 20.58
Round down
x ≤ 20
Hence, the number of 2-axle trucks at one time is 20
See attachment for the inequality of 100000x + 34000y ≤ 700000
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A blue Jay wanted to store some acorns for the winter. If she hides 18 acorns per tree, she will be left with four acorns; if she hides 20 acorns per tree, there will be extra space for an additional four acorns (the number of trees is always the same). How many acorns is Blue Jay going to store for the winter, and how many trees?
Answer:
4 trees and 76 acorns.
Step-by-step explanation:
Let the amount of trees be x.
[tex]18x+4=20x-4\\\\\implies2x=8\\\\\implies x=4[/tex]
There are 4 trees, and there are [tex]18x+4[/tex] acorns or 76 acorns.
Hope you have a nice day, and also you should mark brainliest :)
Answer:
76 acorns and 4 trees
Step-by-step explanation:
Let X be the number of acorns (a) Ms. Blue Jay plans to store.
We are told that she could hide 18 acorns (a) per tree (t) which we'll write as 18a/t. This would result in 4 leftover acorns.
We then learn that if she hides 20 acorns per tree, 20a/t, she will have space for an extra four acorns.
There are t trees in both cases. We can write these two scenarios as:
1) 18t + 4 = X [18 acorns are in each tree, t, plus there are 4 left over.]
2) 20t -4 = X [20 acorns per tree, t, with room to store 4 more]
These two are equal to each other:
18t + 4 = 20t - 4
2t = 8
t = 4
There are 4 trees.
Since 18t+4 = X, the total number of acorns is18*4+4 = 76 acorns and 4 trees.
Check to see if 76 acorns works for the second scenario:
Will hiding 20 acorns per tree leave room for 4 acorns if there are 76 acorns?
(4 trees)*(20 acorns/tree) = 80 acorns can be stored. If Ms. Jay only has 76 acorns, there will be room for 4 more acorns.
Translate into an algebraic expression:
m decreased by 47%
(Please Help, Will Mark Brainliest for correct verified answer)
ANSWER :
= m - ( m of 47/100 )
(or)
= m of (53/100)
Mark BRAINLIEST
The algebraic expression for "m decreased by 47%" is m - 0.47m.
To translate "m decreased by 47%" into an algebraic expression, we first need to understand the meaning of the phrase. "Decreased by" indicates a subtraction operation, and "47%" represents 47 percent, which is equal to 0.47 in decimal form.
Let's break down the expression step by step:
"m" represents the original quantity we want to find.
"Decreased by" indicates subtraction.
"47%" is equivalent to multiplying the original value "m" by 0.47.
Combining all these elements, the algebraic expression for "m decreased by 47%" is:
m - 0.47m
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what is 9.6=p/5.4 algebra
change the unit of capacity 12 c = qt
Answer:
Step-by-step explanation:
Comment
There are 4 cups in a quart.
There are 12 cups in x quarts.
Solution
4/12 = 1 / x Cross multiply
4x = 12*1 Combine
4x = 12 Divide both sides by 4
4x/4 = 12/4
x = 3 quarts
Answer
3 quarts.
Maddie mailed y letters in january. she mailed 3 times
as many letters in february. in march, she mailed 10
letters more than half of what she mailed in january and
february together. if a letter costs $0.37 to mail, which
expression represents the amount of money, in dollars,
maddie spent mailing letters in march?
The expression which shows the amount of money, in dollars Maddie spent on mailing letters in March is 3.7 +0.74 y.
Given Maddie mailed y letters in January. She mailed 3 times as many letters in February. In March she mailed 10 letters more than half of what she mailed in January and February.
Expression is combination of numbers, symbols, fraction, coefficients which are not found in equal to form.
Letters mailed in January=y
Letters mailed in February=3y
Letters mailed in March=10+(y+3y)/2
=10+2y
Amount of mailing of 1 letter=$0.37.
Amount of mailing of letters in March=0.37(10+2y)
=3.7+0.37*2y
=3.7+0.74y
Hence the expression which shows the amount of letters mailed in March is 3.7+0.74 y.
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What is the measure of arc ef
Answer: [tex]128^{\circ}[/tex]
Step-by-step explanation:
By the inscribed angle theorem, minor arc EG measures 92 degrees.
Since the circumference of a circle measures 360 degrees, arc EF measures [tex]360-140-92=128^{\circ}[/tex]
The measure of the arc EF = 128°.
What is an Arc?Arc is that part of the circumference of the circle which is formed by two points on the circle.
The angle subtended by an arc on the center of the circle is twice that it subtends on the circumference of the circle.
So,
The measure of arc EG = 2 * 46 = 92
The measure of arc GF = 140°
The complete circle has an angle of 360° at the center
The measure of the arc EF = 360 -mEG - mGF
The measure of the arc EF = 360 - 92 -140
The measure of the arc EF = 128°.
Therefore, The measure of the arc EF = 128°.
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please help me on this
Venn Diagram:
41 - 14 = 27 for only cats63 - 14 - 27 = 22 for only dogs100 - 27 - 22 - 14 = 37 outsideNeither a cat or dog: 37/100
A dog: (22+14)/100 = 36/100 = 18/50 = 9/25
A dog but not a cat: 22/100 = 11/50
Which of the following pairs of lines are perpendicular to each other?
Answer:
which lines
Step-by-step explanation:
draw a picture