The gross weight of a package in its contents is 11 lbs. 5 oz. if the packaging weighs 1 lb. 15 oz. what the net weight of the content
How many hours are in a year?
Which graph shows the axis of symmetry for the function f(x) = (x – 2)2 + 1?
Step-by-step explanation:
Please find the attachment of graph representing the axis of symmetry.
We are asked to choose the graph from our given choices, which shows the axis of symmetry for the function:
[tex]f(x)=(x-2)^2+1[/tex]
We can see that our function represents a parabola.
Since we know that axis of symmetry is a vertical line that divides parabola into two congruent parts. The axis of symmetry intersects parabola at its vertex.
Let us find the vertex of our given parabola using formula: [tex]x=\frac{-b}{2a}[/tex], where,
a = Coefficient of [tex]x^{2}.[/tex]
b = Coefficient of x.
To apply this formula we will represent our parabola as a quadratic equation [tex](ax^2+bx+c)[/tex] as:
[tex]f(x)=x^2-4x+4+1[/tex]
[tex]f(x)=x^2-4x+5[/tex]
Upon substituting a= 1 and b= -4 in the formula we will get,
[tex]x=\frac{-(-4)}{2*1}[/tex]
[tex]x=\frac{4}{2}[/tex]
[tex]x=2[/tex]
Therefore, the vertical line passing through point x = 2 will be the axis of symmetry for our given function and graph B is the correct choice.
Kristin opens a savings account with $3500. She deposits $2400 every year into the account that has a 0.65% interest rate, compounded quarterly. If she doesn't withdraw any money, what will the account balance be in 10 years?
1. $28551.51
2. $24776.39
3. $28511.25
4. $24816.65
I don't know what formula to use or how to solve.
Earth has a radius of about 6.4 x 10^6m. Approximate the surface area of Earth using the formula for the surface area of a sphere. S=4*pi*r^2
The surface area of the earth using the given formula is 51471.85 m².
What is the surface area of a solid?The surface area of a solid can be defined as the area covered by its surface. There are two types of area for a solid exact and lateral.
The lateral area represents only the visible portion of the surface area while the exact area is the area of the total surface of the solid.
Given that,
The radius of earth r = 6.4 × 10⁶ m.
The area of a sphere is given as S = 4π × r².
Substitute the value of r to obtain,
S = 4π × (6.4 × 10⁶)²
= 51471.85
Hence, the surface area of Earth is approximated as 51471.85 m².
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Divide 40x/ 64y by 5x/ 8y
A. 1
B. 3/4
C. 25x^2/ 64y^2
D. 25/64
The division to the expression Divide 40x/ 64y by 5x/ 8y is (a) 1
How to evaluate the quotient expression
From the question, we have the following parameters that can be used in our computation:
Divide 40x/ 64y by 5x/ 8y
As an expression we have
40x/ 64y ÷ 5x/ 8y
So, we have
40x/ 64y ÷ 5x/ 8y = 40x/ 64y * 8y/5x
Divide the variables
This gives
40x/ 64y ÷ 5x/ 8y = 40/64 * 8/5
Lastly, we have
40x/ 64y ÷ 5x/ 8y = 1
Hence, the solution to the expression is (a) 1
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Multiply 8 times the square root of 3 by 9 times the square root of 27.
8 times the square root of 3 multiplied by 9 times the square root of 27 is equal to 1944.
To multiply 8 times the square root of 3 by 9 times the square root of 27, we can simplify the expression using the properties of square roots and perform the multiplication.
First, let's simplify the square roots:
Square root of 3 can be written as √3.
Square root of 27 can be written as √(9 * 3), which further simplifies to √9 * √3 = 3 * √3.
Now, we have:
8 * √3 * 9 * √27 = 8 * √3 * 9 * (3 * √3) = 8 * 9 * 3 * √3 * √3 = 216 * 3 * √3 * √3.
Since the square root of 3 multiplied by itself (√3 * √3) simplifies to 3, we have:
216 * 3 * 3 = 1944.
Therefore, 8 times the square root of 3 multiplied by 9 times the square root of 27 is equal to 1944.
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Find the area ratio of a cube with volume 125 m to a cube with volume 64 m.
The required ratio of area of cubes is 25 : 16.
Volume of cube 1 = 125
Volume of cube 2 = 64
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Volume of cube 1 = 125
a³ = 125
a = 5
Volume of cube 2 = 64
A³ = 64
A = 4
Area of cube 1 = a² x 6
= 5² x 6
= 150
Area of cube 2 = A² x 6
= 4² x 6
= 96
Now ,
The ratio of areas of cube 1 to cube 2 = 150:96.
= 25:16
Thus, the required ratio of area of cubes is 25 : 16.
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What are the intercepts of 6x + 8y=24
Is 2(x+5) factored?
Who is known as the "founding father of geometry?"?
What is the arc length when 0=3pi over 5 and the radius is 7?
Which table describes the behavior of the graph of f(x) = 2x³ - 26x - 24?
Answer:
The answer is the table B
Step-by-step explanation:
we have
[tex]f(x)=2x^{3}-26x-24[/tex]
Using a graphing tool
see the attached figure to better understand the problem
Relation of graph to the x-axis
Interval (-∞,-3) -----> below (the function is negative)
Interval (-3,-1) -----> above (the function is positive)
Interval (-1,4) -----> below (the function is negative)
Interval (4,∞) ----->above (the function is positive)
How many degrees are in the compliment of 54 degree angle? Why?
(05.03)
Karma baked 48 cookies yesterday. Every hour, she bakes another batch of 12 cookies.
What is the rate of change for the scenario described?
4
12
60
48
The height of a triangle is 6 m more than its base. The area of the triangle is 56 m2. Find the length of the base. 7 m 8 m 14 m 15 m
Which of the following is a polynomial with roots 5, 7, and −8?
Johnny's baseball team raised $1456 for next month's tournament. They need a total of $2,000 to play. The team has a total of 11 players. Let x represent how much each player needs to raise in order to play in the tournament.
Henry is putting money into a checking account. Let y represent the total amount of money in the account (in dollars). Let x represent the number of weeks Henry has been adding money. Suppose that x and y are related by the equation y=20x+650 . Answer the questions below. Note that a change can be an increase or a decrease.
For an increase, use a positive number. For a decrease, use a negative number.
What was the starting amount of money in the account? $
What is the change per week in the amount of money in the account? $
Update: solved
$14,146,727 is what percent of $117,190,375
What methods can be used to rewrite square trinomials and difference of squares binomials as separate factors?
Factoring Polynomials with Four Terms, and Factoring Trinomials by Grouping can be used to rewrite square trinomials and difference of squares binomials as separate factors
A bag contains 10 tiles with the letters A, B, C, D, E, F, G, H, I, and J. Five tiles are chosen, one at a time, and placed in a row. Meghan says that the probability of the five tiles spelling FACED is 1/252 . Her work is shown below.
Simplify the expression 32 • 5 − 6 ÷ 2.
18 19.5 36 42
The area of a circular trampoline is 112.07 square feet. What is the radius of the trampoline? Round to the nearest hundredth.
A. 3.37 feet
B. 10.59 feet
C. 35.67 feet
D. 5.97 feet
What is the difference between an image and a pre-image in a transformation? How do you tell them apart?
The image is the product of a transformation while a pre-image is the original image on which a transformation operation is performed.
What is the image in a transformation?The image is the product of a transformation or it is the figure obtained after a transforms operation is performed.
What is the preimage in transformation?A pre-image is the original image on which a trabsosfiemarion operation is performed.
The pre-image is differentiated from the image by the labelling convention used as well as by studying the transformation performed.
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I will give the Brainliest answer! PLEASE HELP! The vertices of a triangle are located at the points A (1,1) , B (2,3), C (5,0). The triangle is translated 4 units down, then reflected across the x-axis to obtain triangle A'B'C'. What are the coordinates of the vertices of triangle A'B'C'?
To find the coordinates of the vertices A'B'C' of the new triangle after translation and reflection, subtract 4 from the y-coordinate of each vertex and change the sign of the y-coordinate.
Explanation:To find the coordinates of the vertices A'B'C' of the new triangle, we first translate the original triangle 4 units down. This means we subtract 4 from the y-coordinate of each vertex. So, the new coordinates of A', B', and C' are: A' (1, -3), B' (2, -1), and C' (5, -4).
Next, we reflect the translated triangle across the x-axis. To do this, we change the sign of the y-coordinate of each vertex. So, the final coordinates of A'B'C' are: A' (-1, 3), B' (-2, 1), and C' (-5, 4).
Guys help me out on this one plizzz
The term that you want is 5C2*p^2*q^3 representing 2 successes and 3 failures. This term's value is
(5C2)(0.5^5) = 10*0.03125 = 0.3125 = P(2 successes in 5 trials) =31.3%
A triangle has side lengths 24, 32, and 42. is it a right triangle? explain.
Answer:
triangle given is not a right triangle
Step-by-step explanation:
Given:-
- The side lengths of a triangle are given as:
24 , 32 , 42
Find:-
is it a right triangle? explain
Solution:-
- Any triangle which conforms to the pythagorean theorem can be classified as a right angle triangle.
- The Pythagorean theorem states that the square of the longest side length known as hypotenuse (H) should be equal to the sum of square of other two side lengths ( Perpendicular / opposite [ P ] and Base / Adjacent [ B] ).
- This can be mathematically expressed as:
H^2 = P^2 + B^2
- From the given side lengths. The largest side length is hypotenuse H = 42. While P and B can be used interchangeably for the other two side lengths. So using the theorem we have:
42^2 = 32^2 + 24^2
1764 : 1024 + 576
1764 ≠ 1600
- We see that the three side lengths of the triangle does not conform to theorem. So we can conclude that the triangle given is not a right triangle.
Since 1764 is not equal to 1600, the triangle is not a right triangle.
To determine if the triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Let's denote the sides as follows:
a = 24, b = 32, c = 42
Using the Pythagorean theorem:
c² = a² + b²
Plugging in the values:
42² = 24² + 32²
1764 = 576 + 1024
1764 = 1600
You drive your car for three hours at an average speed of 130 kilometers per hour how far did you go
Which logarithmic equation is equivalent to the exponential equation below 4c=256
To convert the exponential equation 4c = 256 into a logarithmic form, one can apply the logarithm to both sides, simplifying using the property that the logarithm of a power is the exponent times the logarithm of the base, yielding the equivalent equation c = 4.
The question requires us to convert the exponential equation 4c = 256 into a logarithmic form. To achieve this, we need to recognize that a logarithm function is the inverse of an exponential function. Therefore, applying a logarithm to both sides of the equation will allow us to solve for the variable c.
It's important to note that any logarithmic base can be used, but common practice is to use either base 10 (common logarithm) or the natural base e (natural logarithm).
Since 256 is 4 raised to the 4th power (4⁴), we can write the equation as 4c = 4⁴. By applying the logarithm, we then get the equivalent logarithmic equation log(4c) = log(4⁴).
Using the property of logarithms that states the logarithm of a number raised to an exponent will be the product of the exponent and the logarithm of the number, we can simplify this to c*log(4) = 4*log(4). Since log(4) is a common factor on both sides, dividing by log(4) gives us c = 4.