2000 geometry question im i correct
I think it is the 2nd one.
What polynomial identity should be used to prove that 117 = 125 − 8?
Difference of Cubes
Difference of Squares
Square of Binomial
Sum of Cubes
There are 4,315 pistachios in the bulk bin at the grocery store. Maria wants to split the pistachios into 40 packages so that each package has the same number of pistachios with none left over. Which explains whether or not it is possible?
divide total number by number of packages
4315 /40 = 107.875
it is not possible because it doesn't divide evenly
What are the coordinates of the centroid of a triangle with vertices X(−4, 0) , Y(−1, 4) , and Z(2, 2) ? Enter your answer in the boxes.
The centroid of a triangle is the point where the medians of the triangle meets.
The coordinates of the centroid is (-1,2)
The coordinates of the triangle are given as:
[tex]X = (-4,0)[/tex]
[tex]Y = (-1,4)[/tex]
[tex]Z = (2,2)[/tex]
The coordinates of the centroid is:
[tex]C = \frac 13(x_1 + x_2 + x_3,y_1+y_2+y_3)[/tex]
So, we have:
[tex]C = \frac 13(-4-1 + 2,0+4+2)[/tex]
[tex]C = \frac 13(-3,6)[/tex]
Expand
[tex]C = (\frac 13\times -3,\frac 13\times 6)[/tex]
[tex]C = (-1,2)[/tex]
Hence, the coordinates of the centroid is (-1,2)
Read more about centroids at:
https://brainly.com/question/14317682
Some airlines have restrictions on the size of items of luggage that passengers are allowed to take with them. suppose that one has a rule that the sum of the length, width and height of any piece of luggage must be less than or equal to 204204 cm. a passenger wants to take a box of the maximum allowable volume. if the length and width are to be equal, what should the dimensions of the box be?
If jimmy as three balls and gives away one and if earl gives jimmy fifteen balls and jimmy loses seven. how many balls does he have?
Answer: Jimmy has 10 balls .
Step-by-step explanation:
Since we have given that
Number of balls Jimmy has = 3
Number of lost balls = 1
Remaining balls Jimmy has = 3-1=2
Number of balls Earl gives to Jimmy = 15
Now,
Total Number of balls Jimmy has = 15+2=17
Again,
Number of balls Jimmy lost = 7
So,
Remaining balls Jimmy has = 17-7=10
So, he has 10 balls at last .
Estimate how many times larger 7 x 1010 is than 13 x 108.
Answer:
Step-by-step explanation:
what statement describes the function f(x)=|x^4-x^3|
did u ever get the answer for this
The given function f(x) = |[tex]x^{4}[/tex] - x³| is Option A. neither even nor odd because substituting -x changes the form of the function inside the absolute value. Thus, the function does not meet the criteria for either even or odd functions.
To determine if the function f(x) = |[tex]x^{4}[/tex] - x³| is even, odd, or neither, we need to check how it behaves under the transformation x -> -x.
An even function satisfies the property f(-x) = f(x) for all x, while an odd function satisfies f(-x) = -f(x) for all x.
First, let's consider the inside of the absolute value:
If we replace x with -x, we get: f(-x) = |[tex]-x^{4}[/tex] - (-x)³| = |[tex]x^{4}[/tex] + x³|.
We see that the expression has changed, since |[tex]x^{4}[/tex] - x³| is different from |[tex]x^{4}[/tex] + x³| . Therefore, f(x) does not exhibit the properties of being either even or odd.
This means the correct answer is:
Option A. The function is neither even nor odd.
Complete question:
Which statement describes the function f(x) = the absolute value of x^4 - x^3?
A. The function is neither even nor odd.
B. The function is both even and odd.
C. The function is even.
D. The function is odd.
The function models the cost, in dollars, of a rug with width x feet. What is the cost of a rug that is 9 feet wide?
Given that line bd is both the median and altitude of triangle abc, congruence postulate sas is used to prove that triangle abc is what type of triangle
Answer:
Triangle ABC is an isosceles triangle.
Step-by-step explanation:
Let AD represent both the median and altitude of triangle ABC.
A median divides the side in two equal parts so BD=BC.
An altitude is a perpendicular drawn .A perpendicular makes an angle of 90°. Hence <ADB=<ADC=90°
AD is the side common to both the triangles ADB and ADC.
Hence Δ ADB≅ΔADC by SAS congruence postulate.
So AB=AC by c.p .c .t.c(congruent parts of congruent triangles are congruent)
Hence by definition of Isosceles triangle ΔABC is an isosceles triangle.
FIFTHEEN POINTS BC I NEED THIS ASAP =
Billy is making a juice that contains 3 quarts of water, 1 quart of grape juice, 1 quart of orange juice, and 2 quarts of strawberry juice. He is putting his homemade juice into a jug that can hold 2 1⁄2 gallons. How many more quarts of juice can Billy still make before filling the jug?
Please help! Need to pass a module test!
What is the equation of the line, in slope-intercept form, that contains the points (−1, 8) and (2, −1)?
y = −3x + 5
y = −x + 5
y = x + 5
y = −x + 3
Please help me with this question!!
Ryan made 4 identical necklaces, each having beads and a pendant. the total cost of the beads and pendants for all 4 necklaces was $18.80 . if the beads cost a total of $9.20 , how much did each pendant cost?
Ava works at a florist shop. She earns $7.50 an hour plus a fixed bonus for each bouquet she arranges.Write a formula that will help Ava determine how much money she will earn in one week. a=total amount earned h=hours worked in one week n= number of bouquets arranged b=bonus amount for each bouquet
Answer:
a = $7.50h+(n×b)
Step-by-step explanation:
Ava works at a florist shop. She earns $7.50 an hour plus a fixed bonus for each bouquet she arranges.
To determine her earnings in one week the equation will be
a = $7.50h+(n×b)
where a = total amount earned
h = hours worked in one week
n = numbers of bouquets arranged
b = bonus amount for each bouquet
which type of triangle is best
The length of a rectangle is 5 yd longer than its width. if the perimeter of the rectangle is 46 yd , find its area.
The area of the rectangle is 126 square yards.
Solving the area and perimeter of a rectangle.
The area of a rectangle is the multiplication of the length and the width. The perimeter of the rectangle is calculated by using the formula perimeter = 2(length × width).
Let the Length be (L) and the width be (w).
Length = w + 5Width = wPerimeter = 2 (length + width)
Perimeter = 2 ((w+5) +w)
Perimeter = 2w + 10 + 2w
Perimeter = 4w + 10
Since Perimeter = 46 yd, then:
46 = 4w + 10
4w = 36
w = 36/4
w = 9 yards
Length = 9 + 5 = 14 yards
The area of the rectangle is:
Area = length × width
Area = 14 yd × 9 yd
Area = 126 yd²
a plumber needs to replace 20 feet of copper piping. When he gets to the supply store, the lengths are given in meters. How many meters of piping does he need to purchase
What is the product (2x-1)(x+4)
Does tis table represent a function ?
Answer: A function is so F(X) = Y where for every X exist only one Y, in this case you can see that F(3) = 4 and F(3) = 3, so the independent variable x = 3, has two solutions y.
So the solution is A, because a function cannot have two different y values for one x value.
Suppose that you only have liability and comprehensive car insurance and you allow your roommate (who doesn't have car insurance) to drive your car to run an errand. What will likely happen if there is a single-car accident causing moderate damage to your car while your roommate is driving?
How many slices of pizza will ashley buy if the price is 1.00?
4 slices of pizza (gradpoint)
Mario fills out an information card. His Zip code is 83628. His area code is 208. What is the value of the 2 in comparison in 83,628 and 208
The value of the digit 2 in both 83,628 and 208 is 200 because it is in the hundreds place in both numbers. The comparison shows that the absolute value of the digit 2 is the same in both cases despite being part of different overall numbers.
Explanation:The value of the digit 2 in the numbers 83,628 and 208 represents different values because of its position in each number, which is determined by the place value system. In the number 83,628, the digit 2 is in the hundreds place, which means it represents 200. In the number 208, the 2 is in the hundreds place as well, so it also represents 200.
However, to understand the value of the 2 in comparison between the two numbers, you must consider the whole numbers. While the value of 2 as an individual digit is the same in both cases (200), the overall values of the numbers are different. In a more complex mathematical context, when comparing values within different numbers like this, the absolute value of the digits may be the same, but their contributions to the numbers they are part of can vary based on the other digits in the number.
Nonetheless, in this comparison, the two-digit 2s both contribute the same absolute value of 200 to their respective numbers because they are both in the hundreds place.
Solve showing all work, simplify completely: 6/12+1/3
I need help with an Exponential Growth & Decay Word Problem. This is the problem: Mr. Jacobs won $1,000,000 in the lottery. He withdraws 10% of the money every year. How much money will he have left after 20 years? [Round your answer to the nearest dollar]
Let f(x) = 2x2 − 2x + 7 and g(x) = x2 + 9x − 6. find f(x) − g(x). (1 point) x2 − 11x + 13 x2 − 11x + 1 x2 + 7x + 1 x2 + 7x + 13
Answer:
[tex]x^2-11x + 13[/tex]
Step-by-step explanation:
Let [tex]f(x) = 2x^2 - 2x + 7[/tex] and [tex]g(x) = x^2 + 9x - 6[/tex]
We need to find f(x)- g(x)
Replace f(x) and g(x). then subtract the expressions
[tex]f(x)-g(x) =(2x^2 - 2x + 7)- (x^2 + 9x - 6)[/tex]
Remove the parenthesis and multiply negative sign inside second parenthesis
[tex]2x^2 - 2x + 7- x^2 - 9x + 6[/tex]
Combine like terms
[tex]x^2-11x + 13[/tex]
which graph shows the inequality b≤-7
Why do astronomers say that the sun rotates once every 27 to 31 days, rather than give an exact number?
Astronomers provide a range for the Sun's rotation period due to differential rotation, with varying speeds at different latitudes.
This question demands basic understanding of planetaty motion i.e rotation and revolution in general and about motion of sun in particular
Astronomers say that the Sun rotates once every 27 to 31 days because of the phenomenon known as differential rotation. This means that the speed of rotation of the Sun varies based on its latitude.
The rotation period of the Sun is about 25 days at the equator, 28 days at latitude 40°, and 36 days at latitude 80°. Due to this variable rotation speed, astronomers provide a range rather than an exact number for the Sun's rotation period.
18 girls out of 32 students is what percent?
18 girls represent 56.25 percent of the total number of students.
To find what percent 18 girls out of 32 students represent, you can set up a proportion comparing the number of girls to the total number of students. This proportion is represented by the fraction 18/32. To convert this fraction into a percentage, multiply it by 100.
Here's the calculation step by step:
Divide 18 by 32 to get the decimal form.
Multiply the result by 100 to get the percentage.
Performing the calculation gives:
(18/32) x 100 = 56.25%
Therefore, 18 girls represent 56.25 percent of the total number of students.
Given six distinct pairs of gloves, 12 distinct gloves in all, how many ways are there to distribute two gloves to each of six sisters
a) if the two gloves someone receives might both be for the left hand or right hand.
b) if each sister gets one left and one right.
Soln:
a) So i thought about dissectng the problem first into finding the number of ways in which I could make pairs of gloves:
C(12, 2)
then I asked how many ways could the sets of gloves be assigned amongst the 6 sisters:
6!6!
and taking the product of this would give me the amount of ways this could occur:
= C(12,2) * 6!
then for part b)
using this same idea except:
C(6,1) C(6,1) for the left and right glove each .
the C(6,1)*C(6,1)*6!
Right way to think them through?