The equivalent expression for the expression (-5cd-4)(2cd²)² is - 20c³d⁵ - 16c²d⁴.
A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Consider the expression,
(-5cd - 4)( 2cd²)²
Now let x = (-5cd - 4)( 2cd²)²,
Then,
x = (-5cd - 4)( 2cd²)²
x = ( - 5cd -4 ) × (2c)² × (d²)²
x = ( - 5cd - 4) × ( 4c² ) × d⁴
x = ( -5cd - 4 ) × 4c²d⁴
Using the distributive property,
x = ( - 5cd ) × ( 4c²d⁴ ) - 4 × 4c²d⁴
x = - 20 × c³ × d⁵ - 16 × c²d⁴
x = - 20c³d⁵ - 16c²d⁴
Therefore, the equivalent expression of (-5cd-4)(2cd²)² is - 20c³d⁵ - 16c²d⁴.
Learn more about equivalent expression here:
https://brainly.com/question/14507158
#SPJ9
please help mee
△ABC was transformed using two rigid transformations.
a. Compare all of the corresponding parts (angles and sides) of the image and preimage. Describe the results.
b. Explain why the results are true.
A triangle has six parts (three angles and three sides). Suppose you have two triangles that you want to prove are congruent, but you don't know the rigid transformations that map one triangle to the other.
A a. How do you think you can prove the two triangles are congruent without using rigid transformations?
b. Suppose one of your classmates thinks they can prove the triangles are congruent by proving only two pairs of corresponding parts congruent. How would you respond to this classmate?
Note: Be sure to number your responses for each question, like this: 1a, 1b, 2a, 2b.
The corresponding parts are:
<A = <A' = <A"<B = <B' = <B"<C = <C' = <C"AB = A'B' = A"B"AC = A'C' = A"C"BC = B'C' = B"C"How to compare the sidesThe statement is given as:
△ABC was transformed using two rigid transformations.
The rigid transformations imply that:
The images of the triangle after the transformation would be equal
So, the corresponding parts are:
<A = <A' = <A"<B = <B' = <B"<C = <C' = <C"AB = A'B' = A"B"AC = A'C' = A"C"BC = B'C' = B"C"Why the results are true?The results are true because rigid transformations do not change the side lengths and the angle measures of a shape
How to prove that two triangles are congruent without using rigid transformations?To do this, we simply make use any of the following congruent theorems:
SSS: Side Side SideSAS: Side Angle SideAAS: Angle Angle SideHow to respond to this classmate?The classmate's claim is that
Only two pairs of corresponding parts are enough to prove the congruent triangle
The above is true because of the following congruent theorems:
SSS: Side Side SideSAS: Side Angle SideRead more about congruent theorems at
https://brainly.com/question/2102943
#SPJ1
Alvin's age is three times Elga's age. The sum of their ages is 108. What is Elga's age?
Answer:
Alvin's Age is 81 and Elga's age is 27
Step-by-step explanation:
let A be Alvin's age and E be Elga's age
A = 3 E (alvin's age is three times elga's age)
A + E = 108 ( the sum of their ages is 108)
3E + E = 108
4 E = 108
E= 108/4 = 27
A = 3E = 27*3 = 81
⭐ Let the Alvin's age be "a" and the Elga's age be "e".
⭐ If we carefully identify the question, we can get two hints provided in the question which can be framed into equations. They are,
A = 3E ... (1)(Alvin's age is 3 times the age of Elga's age)
A + E = 108 ... (2)(The sum of Alvin's and Elga's age is 108)
Substituting value of A i.e (A = 3E) in eqn (2) so as to get same variable and solve the eqn.
\(\Rrightarrow\bf{a + e = 108}\)
\(\Rrightarrow\bf{3e + e = 108}\)
\(\Rrightarrow\bf{4e = 108}\)
\(\Rrightarrow\bf{e = \frac{108}{4} }\)
\(\Rrightarrow\bf{e = 27}\)
Substituting value of (e = 27) in eqn (1),
\(\Rrightarrow\bf{a = 3e}\)
\(\Rrightarrow\bf{a = 3 \times 27}\)
\(\Rrightarrow\bf{a = 81}\)
Thus, the age of Alvin is 81 years and that if Elga is 27 yearslet a be a set of six positive integers each of which is less than 15. show that there must be two distinct subsets of a whose elements when added up give the same sum
there must be two distinct subsets of a whose elements when added up give the same sum.
Let the six positive integers in the set a be a₁, a₂, a₃, a₄, a₅, and a₆.
The maximum possible sum of any subset of a is 14+13+12+11+10+9 = 69 (when all six elements are chosen).
The minimum possible sum of any subset of a is 1+2+3+4+5+6 = 21 (when none of the elements are chosen).
Thus, the possible range of sums for any subset of a is from 21 to 69.
There are 2^6 = 64 possible subsets of a.
If we consider the sums of all possible subsets of a, there are 64 different sums.
Since the range of possible sums is only 49 (69-21), by the pigeonhole principle, there must be at least two distinct subsets of a that have the same sum.
Therefore, there must be two distinct subsets of a whose elements when added up give the same sum.
To learn more about minimum visit:
https://brainly.com/question/24195665
#SPJ11
What is the code in python to remove ' at the beginning and at the end and also remove the item at index 12?
To remove the single quotation marks ('') at the beginning and end of a string and remove the item at index 12, you can use Python's string manipulation methods and list slicing. First, you can use the strip() method to remove the surrounding single quotation marks. Then, you can convert the string into a list using the list() function, remove the item at index 12 using list slicing, and finally convert the list back into a string using the join() method.
To remove the single quotation marks at the beginning and end of a string, you can use the strip() method. This method removes any leading and trailing characters specified in the argument. In this case, you can pass the single quotation mark ('') as the argument to strip().
Here's an example:
string = "'example string'"
stripped_string = string.strip("'")
After executing this code, the value of stripped_string will be 'example string' without the surrounding single quotation marks.
To remove the item at index 12 from the string, you need to convert it into a list. You can use the list() function for this conversion. Then, you can use list slicing to remove the item at index 12 by excluding it from the list. Finally, you can convert the modified list back into a string using the join() method.
Here's an example:
string_list = list(stripped_string)
string_list.pop(12)
result_string = ''.join(string_list)
After executing this code, the value of result_string will be the modified string with the item at index 12 removed.
Learn more about list() function here:
https://brainly.com/question/33326411
#SPJ11
what are two reasons that multiple regression designs cannot completely establish causation?
Two reasons that multiple regression designs cannot completely establish causation are: 1) correlation does not imply causation, and 2) the presence of confounding variables.
1) Correlation does not imply causation: Multiple regression designs can help identify correlations between variables, but correlation alone does not prove causation. There could be other factors at play, or the observed relationship could be due to chance.
2) Presence of confounding variables: Confounding variables are variables that affect both the independent and dependent variables, leading to a spurious association. In multiple regression designs, it is possible that not all confounding variables are accounted for, which can lead to inaccurate conclusions about the causal relationship between variables.
You can learn more about regression designs at: brainly.com/question/2114606
#SPJ11
Question 21 of 25
Which of the following is the coefficient in the algebraic expression 12x+ 24?
O A. 4
O B. x
C. 12
D. Z
SUBMIT
Answer:
12
Step-by-step explanation:
Coefficient is the number before the variable
Use the table to identify the values of pand q that should be used to factor x2
- 3x - 10 as (x + p)(x + 9).
Answer:
A
p = -5 and q = 2 or p = 2 and q = -5
Step-by-step explanation:
Technically, you don't need the table to help you out here. If you solely just factor out x²-3x-10, you would get (x-5)(x+2). So one variable would always have to be -5 and the other variable would always have to be 2.
Two cards are drawn from a deck of 52 playing cards. The first card is NOT replaced into the deck before the 2nd card is drawn. What is the probability of first drawing an Ace, then a Two?
Answer:
4/663.
Step-by-step explanation:
There are 4 aces and 4 2's in a pack of cards.
Prob(First drawing an Ace) = 4/52 = 1/13.
After drawing this card there are now 51 cards left, so:
Prob(Next drawing a 2) = 4/51.
Required probability
= 1/13 * 4/51
= 4/663
Answer:
First, we need to keep in mind that there are 52 cards in a deck.
Second, we need the probability of getting an ace.
\(\frac{4}{52\\}\) = \(\frac{1}{13}\)
Now that that card is taken out of the deck, we need to subtract that card from the total amount of cards. Now there will be 51 cards.
Next, we need to find the probability of getting a 2. Like the Ace, there 4 of them.
So,
\(\frac{4}{51}\)
Now, we multiply both of the probabilities.
\(\frac{1}{13} * \frac{4}{51} = \frac{4}{663}\)
Since we cannot Reduce, There is your answer!
\(\frac{4}{663}\)
∫Maybe·Kuro∫
10 times what equals 2204622621.8488?
Answer:
220462262.18488
Step-by-step explanation:
1. 2204622621.8488/10 = 220462262.18488
Find the area of the figure below
77.25 cm^2 154.5 cm^2 87.55 cm^2 175.1 cm^2
The area of the given triangle is 87.55 square centimeter.
From the given triangle, base=17 cm and height=10.3 cm.
The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.
Here, area of a triangle = 1/2 ×17×10.3
= 87.55 square centimeter
Therefore, area of the given triangle is 87.55 square centimeter.
To learn more about the area of a triangle visit:
brainly.com/question/27701864.
#SPJ1
Sandra drops a brick into a beaker filled with water. Volume increases by 2 liters. Then she uses the density to make a prediction about its weight in kilograms. If the density of the brick is approximately 2 grams per millimeters, what should the prediction be?
The weight of the brick that Sandra dropped is 40 N.
What is the density?We must know that we can be able to define the density as the ratio of the mass to the volume of the object. We know that the density can be regarded as an intrinsic property of the substance.
We can see that;
Density = mass/volume
mass = Density * volume
Volume = 2 L or 2000 mL
Density = 2 grams per millimeters
Mass = 2 * 2000
Mass = 4000 g or 4 Kg
Weight = mass * acceleration due to gravity
Weight = 4 Kg * 10 m/s^2
Weight = 40 N
Learn more about weight:https://brainly.com/question/10069252
#SPJ1
a vector graphic consists of a set of instructions for creating a picture.
Answer:
A vector graphic consists of a set of instructions for creating a picture is a true statement.
Step-by-step explanation:
A vector graphic is an image format that represents images as a set of mathematical instructions or geometric primitives such as lines, curves, and shapes. Instead of using a grid of pixels like raster graphics, vector graphics define images based on mathematical formulas and coordinates.
These instructions or mathematical representations describe the shapes, colors, and other visual attributes of the image. They allow the image to be scaled, resized, and manipulated without loss of quality since the instructions can be recalculated and redrawn at any resolution or size.
Vector graphics are often created and edited using specialized software such as Adobe Illustrator, CorelDRAW, or Inkscape. They are commonly used for logos, illustrations, diagrams, typography, and other graphical elements where scalability and flexibility are important.
Learn more about vector graphic here, https://brainly.com/question/2111093
#SPJ11
How many solutions does this equation -2(x+3)= 1/4x- (5-x) have?
Answer:
the equation only has 1 solution
Step-by-step explanation:
Answer:
One solution
x = -4/13
Explanation:
Image below
Please anyone help I’ll Venmo you 5 dollars not joking at all I swear please help!!
Answer:
Step-by-step explanation:
20
12
0
8
4
16
-4
If 1 large popcorn and 4 large drinks cost $21 how much does 1 large popcorn cost?
Answer:
6-7 dollars maybe?
Step-by-step explanation:
you didn't give a picture so Im just rounding
(sorry if I'm wrong)
If the probability of event X occurring is the same as the probability of event X occurring given that event Y has already occurred, then A. Event Y is dependent on event X occurring B. Events X and Y dependent C. Event X has no effect on the probability of event Y occurring D. Event Y has no effect on the probability of event X occurring E. All of the above F. None of the above
If the probability of event X occurring is the same as the probability of event X occurring given that event Y has already occurred, then: Event X has no effect on the probability of event Y occurring.
So, the correct answer is C.
This is because if the probability of event X occurring is the same as the probability of event X occurring given that event Y has already occurred, it means that event Y has no influence on the probability of event X occurring.
Therefore, events X and Y are independent of each other.
Option A is incorrect because it suggests that event Y is dependent on event X, which is not the case.
Option B is also incorrect because it suggests that both events are dependent on each other.
Option D is incorrect because it suggests that event Y has no effect on the probability of event X occurring, which is not true.
Option E is also incorrect because it includes options A, B, and D which are incorrect.
Option F is also incorrect because we have already established that event X has no effect on the probability of event Y occurring.
Hence the answer of the question is C.
Learn more about probability at
https://brainly.com/question/795909
#SPJ11
What is 347,200,000 in scientific notation
Answer:3.472*10^8
Step-by-step explanation:
Answer: 3.472 × 10 8 squared. ( 8 is in place of 2 when it comes to 2 squared!)
HOPE THIS HELPED, IF NOT SORRY!!
on average, the number of students that choose to study application development subjects at brock university is 18 each year. (hint: use poisson distribution formula). what is the probability that exactly 13 students will take up application development in the coming year? a. 0.06585 b. 0.05093 c. 0.14260 d. 0.08795
0.05093 is the probability that exactly 13 students will take up application development in the coming year .
Describe probability using an example?
It is based on the probabilities that something could happen. The theory of probability primarily relies on the justification for probability. A coin is tossed, for instance, and the theoretical likelihood of receiving a head is 1 in 2.Average rate (number) of students who chose to study Application Development (λ)= 18
Poisson random variable(number of students taking up Application Development in the coming year)(x)=13
Poisson distribution = P(X = x) = e^−λ (λ)^x/ x!
Here, probability of 13 students choosing application development next year= P(X=13)
= ^(−18 ) 18^13/ 13!
P(X=13) = 0.0509286= 0.05093
Learn more about probability
brainly.com/question/11234923
#SPJ4
Kelsey's class took a field trip to the art museum. They left school at 7:40 A.M. It took them
40 minutes to drive to the museum. They stayed at the museum for 1 hour and 15 minutes.
What time was it when Kelsey's class left the museum?
Answer:
9:35 am
Step-by-step explanation:
7:40 am
+ 40 minutes
7:80
:60 = + 1
:80 - :60 = +:20
8:20
1 hour and 15 minutes =
+ 1 hour =
9:20
+ 15 minutes
9:35 am
Can someone help me with this.
Answer:
C
Step-by-step explanation:
The secant- secant angle SPR is half the difference of the intercepted arcs, that is
55° = \(\frac{1}{2}\) (RS - QT ) ← multiply both sides by 2
110° = RS - QT = RS - 50° ( add 50° to both sides )
160° = RS → C
I need help with this equation. Please solve for k
Hey there!
18 = -k + 3
-k + 3 = 18
-1k + 3 = 18
SUBTRACT 3 to BOTH SIDES
-1k + 3 - 3 = 18 - 3
SIMPLIFY IT!
-1k = 18 - 3
-1k = 15
DIVIDE -1 to BOTH SIDES
-1k/-1 = 15/-1
SIMPLIFY IT!
k = 15/-1
k = -15
Therefore, the answer is: k = -15
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
A triangular prism has a base area of 43 square meters and a volume of 645 cubic meters What is the height of the prism
Given:
a.) A triangular prism has a base area of 43 square meters.
b.) Its volume is 645 cubic meters.
Recall: Formula in getting the volume of a triangular prism.
\(\text{ Volume = }BH\)Where,
B = Base area of the prism.
H = Height of the prism.
Let's now determine the area of the prism:
\(\text{ Volume = BH}\)\(\begin{gathered} \text{ 645 = (43)H} \\ \text{ }\frac{\text{645}}{43}\text{ = H} \\ 15\text{ = H} \end{gathered}\)Therefore, the height of the prism is 15 meters.
How do you find the third side of an inequality of a triangle?
To find the third side of an inequality of a triangle, you must first use the Triangle Inequality Theorem.
This theorem states that for any triangle, the sum of any two sides of the triangle must be greater than the third side. This means that in order to find the length of the third side, you must subtract the sum of the two known sides from the smaller of the two sides, then the length of the third side will be equal to the difference between these two numbers. For example, if two sides of a triangle have lengths of 4 and 3, the third side must be greater than 1 (4 + 3 = 7 and 4 - 3 = 1). Therefore, the length of the third side must be greater than 1.
Learn more about Triangle Inequality Theorem here:
https://brainly.com/question/1163433
#SPJ4
what is (9x-10y)-(-8x-8y)?
plz i got need help here
Answer:
The parallelograms having perpendicular diagonals are square and rhombus so
e. b and d are true.
Hope it will help :)❤
Answer:
I think Rhombus
Step-by-step explanation:
Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 22 cards, which was 20% of the cards sold for Mother's Day. How many cards were sold for Mother's Day?
Answer:
110 cards were sold on Mother's Day
Step-by-step explanation:
Bob's gift shop sold 20% of all the cards sold on Mother's Day.
Let the number of cards sold on Mother's day be m
Bob sold 20% of m or 0.2m
We know that 0.2m is 22, so now we can solve for m
22 = 0.2m22 ÷ 0.2 = m110 = m110 cards were sold on mothers day
Note
We know that 0.2 is 1/5, so instead of dividing each side by 0.2, we could have multiplied both sides by 5
22 = 0.2m22 * 5 = 1/5m * 5110 = 1m110 = m-Chetan K
Can somebody help me in math please ?
Answer:
sure
Step-by-step explanation:
Answer:
Sure pooh.
Step-by-step explanation:
Natalie and Breanna decide to buy chocolates and giant sour keys for the class. They buy 130 giant
sour keys and chocolates combined. If they spend a total of $66.85 in total, and chocolates cost $0.22
and giant sour keys cost $1.07, how many of each did they buy?
please explain step by step do you can!:)
Answer:
148
Step-by-step explanation:
how do I find the perimeter
Answer: pls give me Brainliest
Step-by-step explanation: it can vary for different shapes, for perimeter of a square
You multiply side by four,
Hope this helps!!
Answer:
Rectangle
perimeter = 2 (w + h) or perimeter is 2 times the width plus the hieght
Square
P=4s or perimeter is 4 times a side length
Triangle
P = a + b + c. or perimeter is side 1 plus side 2 plus side 3 (Add all sides)
Circle
perimeter = 2 · π · r Or Perimeter is 2 times pi times the radius
Hexagon
perimeter = 6 · s or perimeter is 6 times the length of a side.
Step-by-step explanation:
what is the angle (in degrees) formed by the minute and hour hands on a clock when the time is 3:15?
The clock forms an angle of 0 degrees when the time is 3:15.
The angle formed by the minute and hour hands on a clock at 3:15 can be determined by calculating the difference between their positions.
To find the position of the minute hand, we can use the fact that it moves 360 degrees in 60 minutes. At 15 minutes past the hour, the minute hand will be at the 3 on the clock face. Therefore, it has moved 15/60 * 360 degrees or 90 degrees.
The hour hand moves 360 degrees in 12 hours, so in 3 hours it will have moved 3/12 * 360 degrees or 90 degrees.
To find the angle formed by the minute and hour hands, we subtract the position of the hour hand from the position of the minute hand. 90 degrees - 90 degrees = 0 degrees.
Therefore, at 3:15, the angle formed by the minute and hour hands on a clock is 0 degrees.
Learn more about angles: https://brainly.com/question/17039091
#SPJ11