you are building a 3-foot tall chest. you want the volume to be 60 cubic feet. what should the area of the base be
Answer:
You want the area of the base to equal 20 ft^2
Step-by-step explanation:
Volume of a cube= (L)(w)(h)
Area of base = (L)(W)
60 cubic feet is the volume we are trying to acheive. Since the volume for a cube is (L)(w)(h), 3 needs to multiply by the area of the base to equal the volume. since 3 times 20 equals 60(You solve this by dividing 60 by 3) the base needs to equal 20ft^2.
A car uses 1 liter of gas every 12 kilometers. How many meters can the car travel on 3 liters of gas
Answer: 360,000
Step-by-step explanation: First you would convert 12 kilometers to meters, which is 120,000. Then multiply that by 3. You get 360,000 meters. Therefore, the car can travel 360,000 meters on liters of gas.
Quadrilateral TEAMTEAMT, E, A, M i rotated -180^\circ−180
∘
minu, 180, degree about the origin
The quadrilateral's image points will be,A(3, 3) → A'(-3, 3) R(5, 7) → R'(-7, 5) M(7, 5) → M'(-5, 7) Y(5, 1) → Y'(-1, 5).
If a point (x, y) is rotated 180 degrees anticlockwise with respect to the origin, the rotational rule is:
(x, y) → (-y, x) (-y, x)
Consequently, the image point's coordinates following rotation will be (-y, x).
Using this guideline,
The quadrilateral's image points will be,
A(3, 3) → A'(-3, 3)
R(5, 7) → R'(-7, 5)
M(7, 5) → M'(-5, 7)
Y(5, 1) → Y'(-1, 5)
By graphing the image points we can get the graph of the image quadrilateral A'R'M'Y'.
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The question is incomplete, complete question:
Quadrilateral ARMY is rotated 180 degrees about the origin. Draw the image of this rotation.
Find A in degrees. Round to the nearest tenth.
a=7
b=4
c=8
A=[?]°
Answer:
61 degrees.
Step-by-step explanation:
Use the law of cosine.
In this case, the law of cosine is:
7^2=4^2+8^2-2(4)(8)cos a
Meaning:
7^2-4^2-8^2/-2(4)(8)=.434
Then do the inverse cosine of .434, and it will equal to 61.02
Round to the nearest tenth and you'll get A= 61 degrees.
Answer: 61 degrees
Step-by-step explanation:
7^2=4^2+8^2-2(4)(8)cos a
7^2-4^2-8^2/-2(4)(8)=.434
Then do the inverse cosine of .434, and it will equal to 61.02
Round to the nearest tenth and you'll get A= 61 degrees.
What is meant by halting problem?
Therefore , the solution of the given problem of tractable problem comes out to be halting problem claims that no computer can be created that can anticipated.
Describe a tractable problem.an algorithm that takes a polynomial amount of time to solve a tractable issue. The upper bound is described by a polynomial. Any issue that cannot be addressed in a polynomial period of time is considered to be intractable. The lowest limit is exponential.
Here,
The halting problem claims that no computer can be created that can anticipated.
the likelihood that any other program will halt after a certain number of steps, making it an unsolved algorithmic challenge.
Software development is directly affected in practice by the stopping problem's insoluble nature.
Therefore , the solution of the given problem of tractable problem comes out to be halting problem claims that no computer can be created that can anticipated.
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Please help?!!!¡¡!!!
Answer:
Option B, [tex]\sqrt[6]{\frac{x}{4} }[/tex]
Hope this helps!
What is the solution for 7x 5 =- 19?
x = - 8 is the solution for 7x + 5 = - 19. This can be solved using the concept of equation solving.
What is an equation?The meaning of such an equations in algebra is just a mathematical expression stating the equality between two mathematical terms. For instance, 6x + 5 = 11 is an equation where 6x + 5 and 11 are two expressions separated by the 'equal' sign.
Identity equations and conditional equations are the two types of equations. For just any value of both the variables, an equality remains true. Only such variables have values that make a condition expression true. Two expressions joined by an equals sign ("=") form an equation.
7x + 5 = -19
or, 7x = - 19 - 5
or, 7x = - 24
or, x = - 8
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Solve the equation below on the interval [0, 2pi). Select ALL that apply.
cos^2x-1=0
A. 0
B. pi/2
C. pi
D. 2pi
Complete the square to write each equation in vertex form. Then, state whether the vertex is a minimum or a maximum and give its coordinates.
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
• If a > 0 then vertex is a minimum
• If a < 0 then vertex is a maximum
Given
y x² - 8x + 14
(a)
To complete the square
add/ subtract ( half the coefficient of the x- term)² to x² - 8x
y = x² + 2(- 4)x + 16 - 16 + 14
y = (x - 4)² - 2 ← in vertex form
(b)
Since the multiplier a = 1 > 0 then vertex is a minimum
(c)
(h , k ) = (4, - 2 ) ← coordinates of vertex
Question 10 options:
Which is not a property of a parallelogram?
A) All sides are congruent. B) Diagonals are perpendicular bisectors of each other. C) Opposite angles are congruent. D) Diagonals are congruent.
A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. All angles are congruent, and the diagonals bisect each other and are congruent. It does not, however, have the property that all angles are equal.
A parallelogram is a four-sided shape with two pairs of parallel lines. The opposite sides of the parallelogram must be congruent, meaning that they have the same length. All angles are congruent, which means that they all have the same measure. The diagonals of the parallelogram bisect each other, meaning that they divide each other into two equal parts, and they must also be congruent. All of these properties are true for a parallelogram, except that the angles do not have to be equal. The angles can be either acute, obtuse, or right angles, but they must all have the same measure. So, in conclusion, the property that is not true for a parallelogram is that all angles are equal.
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Simplify (s^-5)^3. Write your answer using only positive exponents.
The given expression (s⁻⁵)³ is equivalent to (1/s)¹⁵.
What is exponent?Exponent is a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression. Mathematically -
[tex]$b^x = \underbrace{b \times \dots \times b}_{x \text{ times}}[/tex]
where -
[b] = base of the logarithm
[x] = exponent
Given is the expression as follows -
(s⁻⁵)³
We can write the expression as -
(s⁻⁵)³ = (1/s⁵)³ = (1/s¹⁵) = (1/s)¹⁵
Therefore, the given expression (s⁻⁵)³ is equivalent to (1/s)¹⁵.
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Una llave llena un tanque en 4 horas y el desagüe lo vacía en 6 horas. ¿En cuánto tiempo se llenará el tanque, si ambas llaves se abren al tiempo?
A. 10 horas y 15 min
B. 2 horas y 15 min
C. 12 horas y 15 min
D. 12 horas
Answer:
Creo que la respuesta sería B: 2 horas y 15 minutos.
Step-by-step explanation:
What is value of x
Enter your answer in the box.
Answer:
x=10
Step-by-step explanation:
Lets use a ratio.
3:2 (12 to 8)
We need to scale the x+4 up 3/2 to be equal to 2x+1
(3/2) x+4 = 2x+1
1.5x+6=2x+1
-1.5x -1.5x
6=0.5x+1
-1 -1
0.5x=5
x=10
A recipe calls for 2 ½ cups of flour to bake 12 cookies. If each person eats 1 cookie, and Elizabeth needs to serve 44 people, how many cups of flour will Elizabeth need to bake the cookies?
What is the area of the shaded region in the inage below? Leave your anser in terms of pi
Answer:
182π
Step-by-step explanation:
Subtract areas of two smaller circles from the largest one
Area of largest circle (which has a diameter of 26+14, or 40) = 20²π or 400π
Area of second largest circle = 169π
Area of smallest circle = 49π
400π - (169π + 49π) = 182π
which is the correct comparison of solutions for 2(5-x) > 6 and 22 > 2(9+x)?
The correct comparison of solutions for the expression is x < 2
How to determine the correct comparison of solutions for the expressionFrom the question, we have the following parameters that can be used in our computation:
2(5-x) > 6 and 22 > 2(9+x)
Rewrite the expression properly
So, we have the following representation
2(5 - x) > 6 and 22 > 2(9 + x)
Divide both sides of the expressions by 2
So, we have the following representation
5 - x > 2 and 11 > 9 + x
Subtract both sides of the expression by the constant term
This gives
-x > -3 and 2 > x
Rewrite as
x < 3 and 2 > x
So, we have
x < 3 and x < 2
When combined, we have
x < 2
Hence, the solution is x < 2
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In ΔDEF, e = 11 cm, f = 44 cm and ∠D=41°. Find the area of ΔDEF, to the nearest square centimeter.
Answer:
Not Rounded- 158.766
Rounded- 159
Step-by-step explanation:
Delta Math
The owner offers a payment plan where the total cost of the mountain bike is paid in 3 equal monthly payments. Determine the amount of each monthly payment. Show your work or explain your answer.
Answer:
Step-by-step explanation:
$66.67/month for three months
The monthly payment is calulated by dividing the total cost of the mountain bike by 3. For example, if the total cost is $200, the three monthly payments will be $66.67 each:
$200
---------------- = $66.67/month for three months
3 months
Why are fossil fuels considered nonrenewable resources?
A.
They create pollution and people have to clean it up.
B.
They are found underground and must be processed.
C.
They cannot be found in nature and have to be made.
D.
They cannot be replaced as fast as they are being used.
Answer:
D They cannot be replaced as fast as they are being used
Conan borrows $3,000 at a yearly simple interest rate of 1.6% for 2 years
If Conan borrows $3,000 at a yearly simple interest rate of 1.6% for 2 years then he has to pay 3009.6 back.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Conan borrows $3,000 at a yearly simple interest rate of 1.6% for 2 years.
A=P(1+rt)
Where, A is final amount, P is principal amount, r is rate of interest, t is time period.
P=3000, r=0.16%=0.16/100=0.0016, t=2
A=3000(1+(0.0016)2)
=3000(1+0.0032)
=3000(1.0032)
=3009.6
Hence, Canon needs to pay back 3009.6
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The function f(x) = x² +1 has a minimum at what coordinate point (x, f(x))? See the graph below.
Answer:
(0,1)
Step-by-step explanation:
A soccer team earns 2 points for a win and 1 point for a tie. Let w represent the number of wins and t represent
the number of ties. Write an expression that describes the team’s total points
An expression that describes the team’s total points will be 2w + t.
How to calculate the expression?It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator
In this case, the soccer team earns 2 points for a win and 1 point for a tie.
Let w represent the number of wins and t represent the number of ties.
The expression that describes the team’s total points will be:
= 2(w) + t
= 2w + t
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find the measure indicated in each parallelogram
Answer:
Step-by-step explanation:
WX≅VY
VY = 7
CD≅BE
BE = 13
A school surveyed its
students about TV viewing. The average time
spent watching TV each
day was 3 hours. What
percent of 24 hours on
the average was spent
watching TV?
Answer:
12.5%
Step-by-step explanation:
Look at image to answer
1350000 because 20x15 and 30x15
Answer:135000 ft^2
Step-by-step explanation:
What is the value of x in3 √ x 9?
In the given equation x = 9 is the value that satisfies the equation.
What are Square root?The square root of a number is a value that, when multiplied by itself, equals the original number. For example, the square root of 9 is 3, because [tex]3*3 = 9[/tex]. The symbol for square root is "√" and it can also be represented as "sqrt".
In the given equation [tex]x = 9[/tex] is the value that satisfies the equation.
To find the value of x in the equation [tex]3 \sqrt{x} = 9[/tex], we first need to square both sides of the equation to eliminate the square root.
[tex]3 \sqrt{x} = 9[/tex]
Squaring both sides:
[tex](3 \sqrt{x} )^2 = 9^2[/tex]
[tex]x = 9^2 / 3^2 = 9^2 / 9 = 9[/tex]
Therefore, x = 9 is the value that satisfies the equation.
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The width of a swimming pool is one third of its length. The width of the pool is 15 feet. What is the length of the
pool?
how many integer between 20 and 40 divisable by 3
Answer:
4 prime numbers all divisible by 3
Step-by-step explanation:
there are 4 prime numbers between 20 and 40 23, 29, 31, 37 all divisible by 3
Answer:
7 integers
Step-by-step explanation:
We can find how many integers between 20 and 40 are divisible by 3 by looking at the multiples of 3 that lie between 20 and 40.
1: 3 * 7 = 21
2: 3 * 8 =24
3: 3 * 9 = 27
4: 3 * 10 = 30
5: 3 * 11 = 33
6: 3 * 12 = 36
7: 3 * 13 = 39
HELP!! Find the value of…
Answer:
It C man.
Step-by-step explanation:
You don't need this
Oliver wants to buy a hat that has an original price of $25 . The store is having a 20% off sale on everything in the store. Question: With this discount, what is the final cost of the hat?
Answer:
$20
Step-by-step explanation:
There are a few ways to do this. We know 20% is 1/5 and 1/5 is 5 dollars. since that's the percent off, we would subtract it from 25.
For general percents off, they might not be so easy. It is important to know the method. We must multiply by the decimal of the percent, so
[tex]25 \times .20 = 5[/tex]
Now, since it is this amount off, we subtract 5 from 25.
[tex]25 - 5 = 20[/tex]
$20 is the final price of the hat!
hope this helps!