Answers
Answer:
48.2 in^3
Step-by-step explanation:
It'd be easier to calculate the volume if you'd change the mixed numbers to mixed numers with decimal fractions:
2 1/2 becomes 2.5
3 2/3 becomes 3.67
5 1/4 becomes 5.25
Then V = L*W*H, or
V = (5.25 in)(3.67 in)(2.5 in) = 48.2 in^3
Related Questions
How do you find an inverse?
Answers
Answer:
by using 1 to divide the value
Step-by-step explanation:
the inverse of 5/8 is 8/5.
Question 6 of 10
Which is the best estimate of the circumference of this circle?
3
OA. 18 units
OB. 42 units
OC. 3 units
O D. 6 units
Answers
The best estimate for the circumference of a circle with 3 units radius is equal to 18 units. The correct option is A.
Given the radius of the circle is equal to 3 units.
The formula for the circumference of the circle is equal to
[tex]C=2*\pi *r[/tex].
By substituting the value of the radius and pi we will get:
[tex]C=2*3.14*3\\C=18.86[/tex].
Therefore the best estimate will be 18 units.
Complete question:
Which is the best estimate of the circumference of this circle?
radius = 3 units.
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Suppose $P(x)$ is a polynomial of smallest possible degree such that: $\bullet$ $P(x)$ has rational coefficients $\bullet$ $P(-3)
Answers
The value of polynomial p(x) when x=0 is 35.
What is a polynomial?
An expression made up of indeterminates and coefficients and utilising solely the operations of addition, subtraction, multiplication, and positive-integer powers of variables is referred to as a polynomial.
The complete question is as follows:
Suppose p(x) is a polynomial of smallest possible degree such that: bullet p(x) has rational coefficients bullet p(-3) = p(\sqrt 7) = p(1-\sqrt 6) = 0 bullet p(-1) = 8 determine the value of p(0).
Given,
p(x) is a polynomial of smallest degree where
p(-3) = p(√7) = p( 1-√6) = 0
p(-1) = 8
So the factors of p are (x+3),(x-√7) and (x - 1+√6)
Given p has rational coeffecients. So we should remove √7 and √6. This can be done by multiplying with conjugates.
(x-√7)*(x+√7) = x²-7
(x-1+√6) * (x-1-√6) = (x-1)² - √6² = x²-2x+1-6 = x²-2x-5
Now the polynomial can be written as
p(x) = c (x+3)(x²-7) (x²-2x-5 )
Here c is a constant and can be determined using p(-1) = 8
p(-1) = c ( -1+3)(-1² - 7 )(-1²-2*(-1) -5)
8 = c(2)(-6)(-2)
c = 1/3
Now the polynomial p(x) = 1/3(x+3)(x²-7) (x²-2x-5 )
Therefore p(0) = 1/3 (3) (-7)(-5) = 35
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Please help!
Explain how to recognize a difference of two squares.
Answers
Answer:
WHEN THE SUM of two numbers multiplies their difference --
(a + b)(a − b)
-- then the product is the difference of their squares:
(a + b)(a − b) = a2 − b2
For, the like terms will cancel.
Symmetrically, the difference of two squares can be factored:
x2 − 25 = (x + 5)(x − 5)
x2 is the square of x. 25 is the square of 5.
The sum of two squares -- a2 + b2 -- cannot be factored. See Section 2.
Example 1. Multiply (x3 + 2)(x3 − 2).
Solution. Recognize the form:
(a + b)(a − b)
The product will be the difference of two squares:
(x3 + 2)(x3 − 2) = x6 − 4.
x6 is the square of x3. 4 is the square of 2.
Upon seeing the form (a + b)(a − b), the student should not do the FOIL method. The student should recognize immediately that the product will be a2 − b2.
That is skill in algebra.
And the order of factors never matters:
(a + b)(a − b) = (a − b)(a + b) = a2 − b2.
Step-by-step explanation:
(a+b)(a-b)
use a and b in the first bracket to multiply the next bracket ; a(a-b)+b(a-b)
a square-ab+ab-bsquare
EASY POINTS!! EASY POINTS!!
NO LINKS OR FILES!!
Answers
Answer:
B
Step-by-step explanation:
A rectangular trunk has a volume of 26,880 cubic inches. The trunk is 48 inches long by 28 inches wide. What is the trunk’s height?
Answers
Exclamation:
26880=4(28)(h)
26880= 112. (h)
_____. ____
112. 112
Answer: 240=h
I hoped this helped!
Answer:
26880=48(28)h 48(28)=1200 26880÷1200=20 h=20
A jar contains quarters, loonies, and toonies. If four coins are selected from the jar, how many unique coin combinations are there
Answers
When selecting four coins from a jar containing quarters, loonies, and toonies, there are a total of 27 unique combinations.
This can be calculated by using the formula for combination, which is nCr.
In this case,
n is the total number of coins in the jar (3) and
r is the number of coins selected (4).
Therefore, 3/(4(3-4)) = 3/0 = 3/1 = 3,
which is the number of possible combinations in the jar for the quarters, loonies, and toonies. When you multiply 3 by 3, you get 9, and when you multiply 9 by 3 again, you get 27.
Therefore, there are 27 unique coin combinations when selecting four coins from the jar.
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i do not understand how proportionality works
Answers
Answer:
3.5
Step-by-step explanation:
In this problem, the line's constant of proportionality is the same as its slope.
Slope is defined as rise / run (also notated as change in y / change in x).
Using the given point, we can deduce that the line's rise (change in y) is 3.5, and its run (change in x) is 1. Putting these values into the slope formula:
3.5 / 1 = 3.5
So, the constant of proportionality of this line is 3.5.
How many combinations of ice cream with a topping can be made if there are 3 kinds or ice cream and 5 toppings?
Answers
Answer: 15 Combinations
Step-by-step explanation: 5x3=15
help i really don’t understand this
Answers
Answer:
45 degree
Step-by-step explanation:
45+45 90 +90 180
All triangles will have 180 degrees angle
‼️ help me it is due today Find the value of x.
58°
X°
‼️‼️‼️
Answers
M
Explain why this is true
PLEASE HELP!!!
Answers
Answer:
The given statement is true because the person they did their steps correctly
a) Locate a point C so that ABC is a right triangle with m ACB ∠ = ° 90 and the measure of one of the acute angles in the triangle is 45° .
b) Locate a point D so that ABD is a right triangle with m ADB ∠ = ° 90 and
the measure of one of the acute angles in the triangle is30° .
c) Locate a point E so that ABE is a right triangle with m AEB ∠ = ° 90 and
the measure of one of the acute angles in the triangle is15° .
d) Find the distance between point C and the midpoint of segment AB .
Repeat with points D and E.
e) Suppose F is a point on the graph so that ABF is a right triangle
withm AFB ∠ =° 90 . Make a conjecture about the point F.
Simplify the radical 3√120.
Answers
Answer:
= 6√30 or Decimal: 32.863353
(2x + 5) (4x − 3) (5x - 4) can be expanded and fully simplified to give an expression of the form ax³ + bx² + cx + d.
Work out the values of a, b, c and d.
Answers
Answer:
To expand (2x + 5) (4x − 3) (5x - 4), you can use the distributive property and the FOIL method.
The distributive property states that for any two algebraic expressions a and b, and for any two numbers x and y, (a+b)(x+y) = ax + ay + bx + by.
The FOIL method is a way to multiply two binomials. It stands for First, Outside, Inside, Last, and it involves multiplying the first term of the first binomial by the first term of the second binomial, the first term of the first binomial by the second term of the second binomial, the second term of the first binomial by the first term of the second binomial, and the second term of the first binomial by the second term of the second binomial.
Using these methods, you can expand (2x + 5) (4x − 3) (5x - 4) as follows:
(2x + 5) (4x − 3) (5x - 4) = (2x)(4x)(5x) + (2x)(4x)(-4) + (2x)(-3)(5x) + (2x)(-3)(-4) + (5)(4x)(5x) + (5)(4x)(-4) + (5)(-3)(5x) + (5)(-3)(-4)
This can be simplified to:
= 40x³ - 32x² - 60x³ + 48x² - 20x³ + 15x² + 60x - 20x + 100x² - 20x + 12
Combining like terms, we get:
= -12x³ + 143x² + 100x + 12
So, the values of a, b, c, and d are a = -12, b = 143, c = 100, and d = 12.
Step-by-step explanation:
What are the properties of a 3 4 5 triangle?
Answers
The right angle with in 3-4-5 triangle is naturally 90 degrees. Always opposite the fourth side, at 53.13 degrees, are the other two angles: 36.87 degrees (just opposite the 3rd side).
Explain the 3 4 5 triangle and its properties?Specialized triangles, such as 3-4-5 triangles, can be solved using the Pythagorean theorem.
Any triangle with a single right (90°) angle is referred to as a right triangle. Typically, a tiny square marker is placed within the right triangle to denote this. In every right triangle, these two sides closest to the right angle are shorter than the hypotenuse, the side directly across from the right angle. A right triangle with integers on each side is known as a Pythagorean triple.Thus, this 3-4-5 right triangle is one of the most well-known Pythagorean triples. The hypotenuse, its longest side opposite its right angle, is measured at 5, while the shorter sides measure at 3 and 4.
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If sin0≈0.3090, what is the approximate vale of csc0?
Answers
Answer:
the approximate of 0•3090 is 0•31
john bought 53 cartons of eggs,and each had 24 eggs.250 of the eggs were bad.how many good eggs did she get?
Answers
Answer:
1022
Step-by-step explanation:
total of eggs
= 53 × 24
= 1272
the good eggs
= 1272 - 250
= 1022
If the given figure is rotated 90 degrees counterclockwise around the origin, what are
the new coordinates of point M?
Answers
Answer:
the answer is (-4,2)
hope this helps
Answer:
(-2,4)
Step-by-step explanation:
The robotics club had 80 members. Because of the pandemic that amount decreased by 65%.
How many people are in the robotics club now?
Answers
Answer: 28
Step-by-step explanation:
65% of 80 is 52
80 - 52 = 28
28 people
jeez, 52 people quit? That’s a lot!
sorry if it’s wrong. Have a great day!
30 + 10 ⋅ 5 – 45 ÷ 5
Answers
Answer:
71
Step-by-step explanation:
30+10×5-45÷5= 30+50-9=71
please help me, thank you
Question 7 options:
From the library, one car heads north, and another heads east. Some time later, the northbound car has traveled 17 miles, and the eastbound train has traveled 144 miles. The two cars, measured in a straight line, are ___ miles apart.
Answers
145 miles apart
hope this helps
If anyone knows the answer for this question please help!
7th grade math.
Answers
Answer:
47°
Step-by-step explanation:
(180 - 86) / 2 = measure of each congruent angle
94/2 = 47
Please help me I am struggling with this
Answers
Step-by-step explanation:
(1). x-intercept: Put y = 0 in the equation y = 2x - 6 and solve for x. The x-intercept is 3.
y-intercept: Put x = 0 in the equation y = 2x - 6 and solve for y. The y-intercept is -6.
(2). x-intercept: Put y = 0 in the equation y = x - 7 and solve for x. The x-intercept is 7.
y-intercept: Put x = 0 in the equation y = x - 7 and solve for y. The y-intercept is -7
(3). x-intercept: Put y = 0 in the equation y = (3/2)x - 9 and solve for x. The x-intercept is -6.
y-intercept: Put x = 0 in the equation y = (3/2)x -9 and solve for y. The y-intercept is -9.
(4). x-intercept: Put y = 0 in the equation y = (-1/4)x + 1 and solve for x. The x-intercept is -4.
y-intercept: Put x = 0 in the equation y = (-1/4)x + 1 and solve for y. The y-intercept is 1.
(5). x-intercept: Put y = 0 in the equation -x + y = -5 and solve for x. The x-intercept is 5.
y-intercept: Put x = 0 in the equation -x + y = -5 and solve for y. The y-intercept is -5.
(6). x-intercept: Put y = 0 in the equation x + 2y = -14 and solve for x. The x-intercept is -14.
y-intercept: Put x = 0 in the equation x + 2y = -14 and solve for y. The y-intercept is -7.
(7). x-intercept: Put y = 0 in the equation 3x - y = -3 and solve for x. The x-intercept is -1.
y-intercept: Put x = 0 in the equation 3x - y = -3 and solve for y. The y-intercept is 3.
(8). x-intercept: Put y = 0 in the equation 5x + 3y = 15 and solve for x. The x-intercept is 3.
y-intercept: Put x = 0 in the equation 5x + 3y = 15 and solve for y. The y-intercept is 5.
4(x+7)=38 what does x equal?
Answers
Answer:
2.5
Step-by-step explanation:
How do I solve these problems?
Answers
Answer:
1.) The 1ˢᵗ three term is (-32), (-7) and 18
2.) The 1ˢᵗ three term is 127, 106 and 85
Step-by-step explanation:
1.)Here,
First Term = a₁ = - 32
Common Difference = (d) = 25
Now, For 1ˢᵗ three term,
n = 1
a₁ = - 32
n = 2
aₙ = a + (n - 1)d
a₂ = (-32) + (2 - 1) × 25
a₂ = (-32) + 1 × 25
a₂ = (-32) + 25
a₂ = -7
n = 3
aₙ = a + (n - 1)d
a₃ = (-32) + (3 - 1) × 25
a₃ = (-32) + 2 × 25
a₃ = (-32) + 50
a₃ = 18
Thus, The 1ˢᵗ three term is (-32), (-7) and 18
2.)Here,
First Term = a₁ = 127
Common Difference = (d) = -21
Now, For 1ˢᵗ three term,
n = 1
a₁ = 127
n = 2
aₙ = a + (n - 1)d
a₂ = 127 + (2 - 1) × (-21)
a₂ = 127 + 1 × (-21)
a₂ = 127 - 21
a₂ = 106
n = 3
aₙ = a + (n - 1)d
a₃ = 127 + (3 - 1) × (-21)
a₃ = 127 + 2 × (-21)
a₃ = 127 - 42
a₃ = 85
Thus, The 1ˢᵗ three term is 127, 106 and 85
-TheUnknownScientist
What number will be multiplied to give -100 and be added to give 8
Answers
Answer:
-12.5
Step-by-step explanation:
Hope it helps u
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Karen made 5 less than 4 times the number of free
throws that Kimi made. Write an expression in
simplest form that represents the total number of free
throws made by both players.
I don’t understand how to get my answer
Answers
answer:
5x-5
step-by-step explanation:
from the question, it can be determined that karen makes 4x-5 (x representing the amount of free throws made by kimi). since the question is asking you to find the total or sum of their free throws, you add 4x-5 and x to get the answer above. hope that helps!
Sally has 4 apples for school lunch, her friend asks if she can 2 apples for Sally's 4 apples. How many more apple would Sally have left after giving her friend 2?
Answers
Answer:Sally would have 2 apples left
Step-by-step explanation:Because 4-2=2 so she gave 2 away so she has 2 left.
Show the correct relationship between altitude and boiling point.
Altitude
Boiling Point Temp.
Answers
The relationship between altitude and boiling point is given below.
What is altitude?
Altitude is the height above sea level. It is usually measured with a barometer or GPS satellite. Altitude can be used to describe the height of an airplane, a mountain, or even the position of a satellite in space. Altitude can also be used to measure how high a person is standing on Earth. Altitude can also be used to compare the relative heights of two different points on Earth. Altitude is an important factor when flying, as it can determine air pressure, air temperature, and wind speed.
Sea Level 212°F
1,000 ft. 211°F
2,000 ft. 210°F
3,000 ft. 209°F
4,000 ft. 208°F
5,000 ft. 207°F
6,000 ft. 206°F
7,000 ft. 205°F
8,000 ft. 204°F
9,000 ft. 203°F
10,000 ft. 202°F
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HELP MEWMMEEMEMEMEMEEMMEEM'
Answers
Answer:
Plot A does
Step-by-step explanation: