The difference between the square of 80 and the square of 20 is 6000.
Explanation:The student's question appears to ask for the difference between the squares of two numbers, specifically square 20 and square 80.
To find this difference, each number must be squared and then the smaller result subtracted from the larger one.
Squaring a number means multiplying the number by itself, so square 20 (which is 20²) equals 400 and square 80 (which is 80²) equals 6400.
Next, we find the difference by subtracting the smaller square from the larger one:
6400 (square 80) - 400 (square 20) = 6000
This calculation reveals that the difference between the square of 80 and the square of 20 is 6000.
w÷5=? "With work if needed"
Answer: This question doesn't have an answer.
Step-by-step explanation:
The diameter of a circular garden is 16 feet what is the approximate area of the garden
Answer:
Option C
201 feet²
Step-by-step explanation:
Given in the question,
diameter of the circular graph = 16 feet
Formula to calculate the area of garden
Area = π r²where π is constant = 3.14
r is the radius
To find the radius
diameter/216/2
8 feet
Plug in values to calculate area
(3.14) 8²
200.96 feet²
Area of the circular garden having 16 feet diameter is 201 (approximate)
There are 4 cups in 1quart.If you want to convert quarts to cups,should you multiply or divide by 4
you would multiply by 4 because if there are 4 cups in a quart then u have 1 quart or 4 cups . thats the only explanation even possible for this problem
Determine the multiplicity of the roots of the function k(x) = x(x + 2)3(x + 4)2(x − 5)4. 0 has multiplicity −2 has multiplicity −4 has multiplicity 5 has multiplicity
Answer:
0 has multiplicity 1
-2 has multiplicity 3
-4 has multiplicity 2
5 has multiplicity 4
Step-by-step explanation:
The multiplicity of the root of a polynomial function, refers to the number of time the root repeats itself.
The given function is
[tex]k(x)=x(x+2)^3(x+4)^2(x-5)^4[/tex]
To find the roots of this function, we equate the function to zero.
[tex]x(x+2)^3(x+4)^2(x-5)^4=0[/tex]
We now use the zero product principle, to obtain;
[tex]x=0[/tex], with multiplicity 1
[tex](x+2)^3=0[/tex]
[tex]\Rightarrow x=-2[/tex], with multiplicity 3
[tex](x+4)^2=0[/tex]
[tex]\Rightarrow x=-4[/tex], with multiplicity 2
[tex](x-5)^4=0[/tex]
[tex]\Rightarrow x=5[/tex], with multiplicity 5.
Answer:
The roots of the function;
[tex]k(x)=x(x+2)^3(x+4)^2(x-5)^4[/tex]
0 has multiplicity 1.-2 has multiplicity 3.-4 has multiplicity 2.5 has multiplicity 4.Step-by-step explanation:
Given information:
The function;
[tex]k(x)=x(x+2)^3(x+4)^2(x-5)^4[/tex]
As, we know that multiplicity of any function is defined as the number of times the roots repeats in the solution.
Hence, we need to find the roots of the function
So, equating the function to [tex]0[/tex]
[tex]x(x+2)^3(x+4)^2(x-5)^4=0[/tex]
As, [tex]x=0[/tex] , is having multiplicity [tex]1[/tex].
[tex](x+2)^3=0\\x=-2[/tex]
Having a multiplicity 3.
Now,
[tex](x+4)^2=0\\x=-4[/tex]
Having a multiplicity 2.
And,
[tex](x-5)^4=0\\x=5[/tex]
Having multiplicity 4.
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Wendy is making lemonade. As shown below, Wendy mixes water and lemon juice . Which equation shows how much lemon juice is needed for 10 ounces of water
Answer:
3 times 10
Step-by-step explanation:
Rewrite the expression 2(10+15) using distributive property of multiplication over addition
Answer:
2(10+15)= (2x10)+(2x15) 20+30=50
Step-by-step explanation:
The expression 2(10+15) rewritten using the distributive property is 20 + 30, which simplifies to 50.
Explanation:Rewriting the expression 2(10+15) using the distributive property of multiplication over addition involves multiplying the 2 by each term inside the parentheses. To do this, multiply 2 by 10 to get 20, and then multiply 2 by 15 to get 30. Combine these two products to complete the process.
Here's the calculation step by step:
Multiply the first term: 2 × 10 = 20.Multiply the second term: 2 × 15 = 30.Add the products: 20 + 30 = 50.Therefore, the expression 2(10+15) using the distributive property is 20 + 30 which simplifies to 50.
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10............................
No, they do not represent the same quantity. Explained in attached sheet.
Multiply
(5x-1)(6x^2+3x+7)
SHOW WORK
sorry for using printed paper, I tried my best to avoid the lines
Answer:
30x³ + 9x² + 32x - 7
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor, that is
5x(6x² + 3x + 7) - 1 (6x² + 3x + 7) ← distribute both sets of parenthesis
= 30x³ + 15x² + 35x - 6x² - 3x - 7 ← collect like terms
= 30x³ + 9x² + 32x - 7
neal uses 1 1/4 gallons of water and 8 cups of apple cider in a recipie how many combined gallons of water and apple cider does neal use in the recipe show work
Answer: 1 3/4 gallons
Step-by-step explanation: In order to determine the total number of gallons in the recipe you need to convert 8 cups to gallons. There are 16 cups in 1 gallon. In order to determine how many gallons 8 cups is you need to divide 8/16 = 1/2 gallon.
The total number of gallons is 1 1/4 + 1/2.
1 1/4 + 1/2 = 1 3/4 gallons.
For what value of x does 3^4x=27^x-3?
x=4.80989686
by simplifying both sides of the equation, then isolating the variable.
Answer:
x= - 9
Step-by-step explanation:
This problem bothers on the law of indices
Given the expression
3^4x=27^x-3
We can also simplify it using the law
3^4x= 3^3(x-3)
Equating the powers we have
4x= 3(x-3)
Opening bracket
4x= 3x-9
Collecting like terms we have
4x-3x=-9
x=-9
Indices are used to show numbers that have been multiplied by themselves. They can also be used to represent roots, such as the square root, and some fractions. The laws of indices enable expressions involving powers to be manipulated more efficiently than writing them out in full.
How do you find interval of increase or decrease??
To find intervals of increase or decrease, analyze the function's derivative or slope. Linear regression uses a straight line equation to estimate these trends graphically. Graphs are helpful for visually representing increase or decrease rates and other numerical relationships.
To find intervals of increase or decrease in a function, you need to analyze the function's derivative. If the derivative is positive over an interval, the function is increasing; if the derivative is negative, the function is decreasing. An example of observing such behavior is through graphical analysis, where you look for portions of the graph that have an upward or downward slope, respectively.
Linear regression is a tool used to determine the rate of increase or decrease over a set of data points. By fitting a line X = S\u00d7t + I, where S is the slope and I the intercept with the vertical axis, one can estimate the trend or rate of change, assuming a linear relationship.
To describe the rate of growth in various contexts, such as population growth or economic data, graphs can display these trends visually. For different applications, such as contour mapping in geography, the interval of change might be adjusted to represent details accurately. A constant rate of growth assumption, however, isn't always correct and must be adjusted depending on the circumstances.
If 2a+ 2/a =4, what is the value of 2a^2− 2/a^2 ?
ANSWER
0
EXPLANATION
Given :
[tex] \frac{2a + 2}{a} = 4[/tex]
We solve for 'a' to obtain,
[tex]2a + 2 = 4a[/tex]
This implies that,
[tex]2 = 4a - 2a[/tex]
[tex]2 = 2a[/tex]
This implies that,
[tex]a = 1[/tex]
We substitute a=1 into
[tex] \frac{ 2{a}^{2} - 2}{ {a}^{2} } [/tex]
This gives us,
[tex]\frac{ 2{(1)}^{2} - 2}{ {(1)}^{2} } = \frac{2 - 2}{2} = \frac{0}{2} = 0[/tex]
Why is this expression not positive or negative when x=-5 -1.3x-6.5
Answer:
This is because this equation equals 0 when x = -5
Step-by-step explanation:
To find this, plug the value in for x.
-1.3x - 6.5
-1.3(-5) - 6.5
6.5 - 6.5
0
The expression -1.3x - 6.5 evaluated at x=-5 equals zero, which is why it is neither positive nor negative.
To verify this let's evaluate it step by step.
Substitute x = -5 into the expression:
-1.3(-5) - 6.5
Then, multiply -1.3 by -5:
-1.3 * (-5) = 6.5
Then, subtract 6.5:
6.5 - 6.5 = 0
The expression -1.3x - 6.5 evaluated at x=-5 equals zero, which is why it is neither positive nor negative.
you have 1 can of chicken soup, and 3 vegetable and 1 can of tomato, what is probability of getting tomato soup
Hey there!
First, let’s find the total amount of soup cans:
1 chicken soup
3 vegetable soup
1 tomato soup
1 + 3 + 1 = 5
Therefore, the odds of you randomly selecting the tomato soup is 1/5
Hope this helps you!
God bless ❤️
Brainliest would be appreciated
xXxGolferGirlxXx
How many lines of symmetry does this figure have?
Answer:
1 line of symmetry through the middle making 2 v s
Step-by-step explanation:
Answer: The figure has 1 line of symmetry.
Step-by-step explanation:
A figure is said to has a line of symmetry if we can draw a line that divides the entire figure into two equal halves, so that each half appears as a reflection image or the mirror of the other.
In the given picture , if given a figure of alphabet W.
It has only a vertical symmetry ( see below the line of symmetry divides W into two Vs) but no horizontal symmetry and any other symmetry.
Therefore , it has only one line of symmetry.
Hence, the figure has 1 line of symmetry.
On a coordinate grid, the movie theater is located at (0,0) and the mall is located at (4,3). If the bowling alley is located at the midpoint between the theater and the mall, what is the approximate distance from the bowling alley to the mall? (Note: 1 unit equals 1 mile)
A) 1.3 miles
B) 1.5 miles
C) 2 miles
D) 2.5 miles
Answer:
D.) 2.5 miles
Step-by-step explanation:
The first step required for solving this problem is to calculate the midpoint between the theater and the mall (2, 1.5). Then use the distance formula to calculate the distance from the bowling alley to the mall.
The distance from the bowling alley to the mall is 2.5 miles. The coordinates of the midpoint, which is the location of the bowling alley, are calculated first. Then, using the Pythagorean theorem, the distance to the mall is found by calculating the square root of the sum of the squares of the horizontal and vertical distances.
Explanation:The task is to calculate the distance from the bowling alley to the mall if the bowling alley is at the midpoint between the movie theater at (0,0) and the mall at (4,3). First, we find the coordinates of the midpoint, which is the average of the x-coordinates and the y-coordinates of the two points respectively. Thus, the midpoint is located at:
(0 + 4) / 2 = 2 for the x-coordinate(0 + 3) / 2 = 1.5 for the y-coordinateSo, the bowling alley is at point (2, 1.5). Secondly, we use the Pythagorean theorem to find the distance from the bowling alley to the mall:
The change in x (horizontal distance) from the bowling alley to the mall is 4 - 2 = 2 units.The change in y (vertical distance) from the bowling alley to the mall is 3 - 1.5 = 1.5 units.Applying the distance formula (or Pythagorean theorem):
Distance = √( Δx² + Δy² ) = √( 2² + 1.5² ) = √( 4 + 2.25 ) = √6.25 = 2.5 miles
Therefore, the approximate distance from the bowling alley to the mall is 2.5 miles, which corresponds to answer (D).
2 7/8 plus 3 2/8 plus 1 1/8
Answer:
7.25
Step-by-step explanation:
2 7/8 + 3 2/8 * 1 1/8 = 7.25
Answer:
7 1/4
Step-by-step explanation:
exact form is 29/4 but if you wanted to simplify it the mixed number form is 7 1/4
what is the degree angle of sircle
Answer: there are 360 degrees in a circle, that there are 90 degrees in a right angle, and that the angle of an equilateral triangle contains 60 degrees.
Step-by-step explanation:
There are 360 degrees in a circle
I need help plz show steps
The "-4" tacked onto the 2x^2 term will move the entire parabola down 4 units. This is because y = 2x^2 becomes y-4 = 2x^2-4
The y-4 means we move every y coordinate down 4 spots. The x coordinate stays the same.
When 6 is subtracted from a square of a number the result is 5 times the number
Answer:
Step-by-step explanation:
The starting number is 6
6*6=36
36-6=30
6*5=30
Answer:
My guy tha answer is x=6
Step-by-step explanation:
how i know, because i got it right
A rectangular prism has side lengths of 4 inches, 6 inches, and 7 inches. If all side lengths are doubled, what happens to the surface area
Original measurements:
L = 4; W = 6; H = 7
surface area = 2(LW + LH + HW)
surface area = 2(4 * 6 + 4 * 7 + 6 * 7)
surface area = 2(24 + 28 + 42)
surface area = 2(94)
surface area = 188
Doubled measurements:
L = 8; W = 12; H = 14
surface area = 2(LW + LH + HW)
surface area = 2(8 * 12 + 8 * 14 + 12 * 14)
surface area = 2(96 + 112 + 168)
surface area = 2(376)
surface area = 752
The surface area was 188 square inches and it became 752 square inches.
752/188 = 4
As the side lengths increased by a factor of 2, the surface area increased by a factor of 4.
Find the missing number: 8.4(1.5 + 2.3) = 12.6 +
Answer:
19.32
Step-by-step explanation:
To find the missing number, we need to solve for the total of the left side of the equation.
Total = 8.4(1.5 + 2.3)
Total = 8.4(3.8)
Total = 31.92
Now we subtract the total to the only value on the right side.
Missing number = 31.9-12.6
Missing number = 19.32
8.4(1.5+2.3) = 12.6 + 19.32
What is the value of X? show all of your work
Answer:
11
Step-by-step explanation:
you need to divide 89 by 8 then round and you get 11
What is the answer to this problem
the answer is negative 168
Answer:
Step-by-step explanation:
What is the probability of spinning a B?
Answer:
3/8 or 37.5%
Step-by-step explanation:
There are a total of 8 possible outcomes. B appears only 3 times in those 8 outcomes. Therefore, the chances of landing on B is 3 out of 8 or 3/8.
The probability of B in percent is 37.5 %.
What is Probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Here, Total outcomes = {A, A, B, B, B, C, C, C}
n(S) = 8
Now, possibility of B = {B, B, B}
n(B) = 3
Probability of B = Favorable outcomes/ total outcomes
= n(B) / n(S)
= 3/8
= 0.375
= 37.5 %
Thus, the probability of B in percent is 37.5 %.
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Please help
ASP PLEASE FOR 10 points!!✨
Part A: You can add the time in hours to find the total. 1/3 + 3/4 + 4/6 + 1/2 = 2 1/4 hours which can also be expressed as 2 hours and 15 minutes (1/4 of an hour is 15 minutes.)
Part B: It takes him 3/4 hr to do homework, 4/6 hr to play soccer, and 1/2 hr to play piano. 3/4 + 4/6 + 1/2 = 1 11/12 hrs or 1 hour and 55 minutes (11/12 of an hour is 55 minutes.) Therefore Kevin is wrong.
a store clerk has 45 shirts to pack in boxes. Each box holds 6 shirts . What is the fewest boxes the clerk will need to pack all the shirts
Answer:
8 boxes
Step-by-step explanation:
45/6 is 7.5 boxes, but you can not have half a box so the fewest number of boxes is 8.
What is the average rate of change for this quadratic function for the interval from x=3 to x=4
ANSWER
A. 27.5
EXPLANATION
The average rate of change of the given quadratic function on the interval;
x=2 to x=4 is the slope of the secant line connecting the points (2,f(2)) and (4,f(4)).
This implies that the average rate of change is
[tex] = \frac{f(4) - f(2)}{4 - 2} [/tex]
From the table,
[tex]f(4) = 64[/tex]
and
f(2)=9.
The average rate of change becomes
[tex] = \frac{64 - 9} {4 - 2} [/tex]
[tex] = \frac{55}{2} = 27.5[/tex]
The correct choice is A.
What is the factored form of the following expression?
x^2 - x - 42
Answer:
(x - 7)(x + 6)
Step-by-step explanation:
Consider the factors of the constant term ( - 42) which sum to give the coefficient of the x- term ( - 1)
The factors are - 7 and + 6, since
- 7 × 6 = - 42 and - 7 + 6 = - 1
x² - x - 42 = (x - 7)(x + 6)
Answer:
Factor x²−x−42 using the AC method.
(x+6)(x-7)Step-by-step explanation:
What is the factored form of the following expression?
x^2 - x - 42
STEPS:
x²-x-42
Break the expression into groups:
=(x²+6x)+(-7x-42)
Factor out x from x²+6x: x(x+6)
Factor out -7 from -7-42: -7(x+6)
=x(x+6)-7(x+6)
Factor out common term x+6
ANSWER=(x+6)(x-7)
A give line has the equation 10x+2y=-2. What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)? Y=(________)x + 12
first off, let's solve the "given" line for "y", that way we can put it in slope-intercept form to see what its slope might be.
[tex]\bf 10x+2y=-2\implies 2y=-10x-2\implies y=\cfrac{-10x-2}{2} \\\\\\ y=\cfrac{-10x}{2}-\cfrac{2}{2}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-5}x-1\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
well, a parallel line to that one, will have the same exact slope, so then, we're really looking for the equation of a line whose slope is -5 and runs through (0 , 12)
[tex]\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{12})~\hspace{10em} slope = m\implies -5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-12=-5(x-0) \\\\\\ y-12=-5x\implies y=-5x+12[/tex]