Answer:
8/9
Step-by-step explanation:
Q. If A is a square matrix such that A² = A, then write the value of 7 A −(I + A)³, where I is an identity matrix.
Since [tex]A^2=A[/tex], we have
[tex](I + A)^2 = I^2 + IA + AI + A^2 = I + A + A + A = I + 3A[/tex]
[tex](I + A)^3 = (I + A) (I + 3A) = I^2 + 3IA + AI + 3A^2 = I + 3A + A + 3A = I + 7A[/tex]
Then the target expression is
[tex]7A - (I + A)^3 = 7A - (I + 7A) = \boxed{-I}[/tex]
Which part of the algebraic expression 7a - 4 is the constant?
7a4
4
7 a
O7
The digits 5, 7, 1, and 9 are to be used in a roll number in a school. How
many different roll numbers are possible if repetitions are not permitted?
Answer:
1, 7, 5, 9
7, 1, 9, 5
9, 5, 1, 7
But there are about 10 possible combinations.
Step-by-step explanation:
Evaluate the expression for x = 6 and y = 4.
xy-3y =
Answer:
Answer:
12
Step-by-step explanation:
Since given that:
x = 6 and y = 4
we can substitute:
xy - 3y
(6)(4)-3(4) {6*4 = 24}
24 - 3(4) {3*4=12}
24 - 12 = 12
Hence, the answer = 12
~lenvy~
Answer: 12
Step-by-step explanation:
Given:
xy - 3y
Plug-in the values we know:
(6)(4) - 3(4)
Multiply 6 by 4 and 3 by 4:
24 - 12
Subtract:
12
xy - 3y = 12
Zack went on 6 hikes. The hikes were:
7 miles - 6 miles - 5 miles - 4 miles - 4 miles - 6 miles
What was the range of the lengths of Zack's hikes?
Answer:
3 miles
Step-by-step explanation:
Range is the biggest number minus the smallest number.
First put the distance in order from least to greatest.
4 miles, 4 miles, 5 miles, 6 miles, 6 miles, 7 miles.
Now subtract the greatest and least amounts.
7 - 4 = 3
Help help help hemp grko
Answer:
12
Step-by-step explanation:
x-4=2(x+8)/5
let's do my favorite strategy: distributive property!
x-4=(2x+16)/5
Now we can simplify.
x-4=(2/5)x+16/5
Let's solve for x!
Subtract 2/5 from both sides
3/5)x=36/5
Now multiply both sides by 5/3, the reciprocal.
You would get 12 as x!
A wire 26 cm long is cut into two pieces. The longer pieces is 2 cm longer the the shorter peice.
Find the length of the shorter peice of wire _________ cm
Answer:
26÷2=13 so if the longer one is 2 cm longer so 13+1 =14. the shorter one is going to be 13-1=12 so 12+14 =26 and the shorter one is 2 cm smaller then the longer one
Khairi has only 20¢ and 50¢ coins in his coin bank. There are twice as
many 20¢ coins as 50¢ coins. How many 20¢ coins are there in the coin
bank if all the coins add up to $17.10?
Answer:
There is 43 20¢ in the coin bank.
Daito and Shoto are earning money to grow their College Savings Accounts. Daito has $780 in the College Savings Account and adds $47 each month. Shoto has $220 in the College Savings Account and adds $82 each month. How long until they have the same amount of money? What is the total amount of money they will both have in their COLLEGE SAVINGS ACCOUNTS?
Answer:
16months
=$1532
Step-by-step explanation:
Daito
780+47x=220+82x
780-220=82x-47x
560=35x
x=16
=16 months
-5X^2 + 3X = -3X^2 + 3X - 50 solve for x
[tex]-5x^2+3x = -3x^2 +3x -50\\\\\implies 5x^2-3x^2 +3x-3x -50 =0\\\\\implies 2x^2 -50 =0\\\\\implies x^2 -25 = 0\\\\\implies x^2 = 25\\\\\implies x = \pm5\\\\\text{Hence}~ x = 5~ \text{or}~ x = -5[/tex]
Answer:
X = 5, —5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Given that g(x) = f(x) + k, identify a value of k that transforms f into g
Answer:
7
Step-by-step explanation:
The value of k will translate the graph up k units if k is positive and down k units if k is negative. To transform f into g line f would translate up 7 units.
a bag contains coins of rupees 2 Rupees 1 and 50 paise, in ratio of 1 is to 2 is to 4. if the total amount is rupees 72 find how many 50 paise coins are there?
Answer:
Final answer -
[tex]number \: of \: 50 \: paise \: coins \: in \: the \: bag = 4x \\ \dashrightarrow{4 \times 12 = 48 \: coins}[/tex]
hope helpful :D
The number of 50 paise coins that we have in the bag with the respective other coins is; 48 coins
How to solve currency conversions?Since the respective coins are in ratio of 1:2:4. Then, we can deduce the following;
Let number of 2 rupees coins in the bag = 1x
Let number of 1 rupees coins in the bag = 2x
Let number of 50 paise coins in the bag = 4x
Total amount of money = 72 rupees. Thus;
(2 * 1x) + (1 * 2x) + (0.5 * 4x) = 72
2x + 2x + 2x = 72
6x = 72
x = 72/6
x = 12
Thus, number of 50 paise coins = 4x = 4 * 12 = 48 coins
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Find LCD in number 16 and multiply all numerators by it to clear the fractions
The LCD of the given terms of expression will be x² - 4 since others can divide it.
How to find the LCDThe least common denominator is the smallest number or expression of all the common multiples of the denominators when 2 or more fractions or expressions are given.
Given the terms of the expressions
(x+2)(x-2) and (x^2 - 4)
Expand (x^2 - 4) using the difference of two square:
x² - 4 = x² - 2²
x² - 4 = (x+2)(x-2)
Based on the expansion, we can conclude that the LCD of the given terms of expression will be x² - 4
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FASTEST ANSWER WITH STESP FOR PROOF GETS BRAINLIEST
Answer:
314.16 m (if pi = 3.14) || 314π m (if (you may want to check the math yourself, just in case!)
Step-by-step explanation:
Step 1) Formula of a cone.
•volume = (1/3) * π * r² * h. [Or, if you prefer, volume = π * r² * h/3 ]
Step 2) Apply numbers.
•r = 1/2 * base diameter || r = 5 m
•height(h)= 12 m
Step 3) Apply formula.
V= (1/3) * π * 5² * 12
[Step 4 depends on how you learn, and this also dictates the answer, please read carefully.]
Step 4a) IF DEFINITE EXACT ANSWER (π = π), then V= 314.16
Step 4b) IF π = 3.14, then V= 314π
I was taught in a strange way where two different methods can be applied, so the answer depends on which one you've been taught!
(apologies if a mistake has been made)
Knowledge Check Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 4.5 ft to 2 ft
Answer:
Step-by-step explanation:
4.5 ÷ 2
[tex]\frac{9}{2}[/tex] ÷ 2
[tex]\frac{9}{2} * \frac{1}{2}[/tex]
9 / 4
Jackson bought cupcakes for his sister's birthday party. 72 out of the 96 cupcakes had sprinkles on top. What percentage of the cupcakes had sprinkles?
Write your answer using a percent sign (%).
Find the unit price. 14 ounces of canned corn for $1.96
The unit price of canned corn is $0.14
14 ounces = $1.96
1 ounce = 1.96 / 14
= 0.14
Bernie bought five 30 L buckets of lawn fertilizer. How much fertilizer did he have in all?
Answer:
5 × 30 L = 150 L
______________
The magnitude of vector λ a is 5. Find the possible values of λ, if a=(5,12). Brainliest for correct answer. Look at photo.
Step-by-step explanation:
this is the answer for you
8 out of 9 people in a class of 360 people are right handed, what is the percentage or right handed people and left. Then how many people out of the class of 360 is left and right handed.
Answer:
88.889% are right handed, 11.111% are left handed, ~320 people are right handed in a class of 360, ~40 people are right handed.
Step-by-step explanation:
The fraction 8/9 is equal to .88889, or 88.889%
Likewise, the fraction 1/9 (remainder) is equal to .11111, or 11.111%
By multiplying 360 by these fractions to get the number of people who fit these criteria in the sample, you get:
360*8/9 = 320 people right handed.
360*1/9 = 40 people left handed.
Cheers!
Given the quadratic function y=(3x−2)(x+4), what are the x-intercepts?
Answer:
[tex](\frac{2}{3} , 0), (-4, 0)[/tex]
Step-by-step explanation:
Substitute 0 for y and solve to find the x-intercept.
Write each expression without the absolute value symbol.
PLEASE HELP
Step-by-step explanation:
| x - 19 + 11 | = | x - 8 |
look at the picture.
The expression without the absolute value symbol is:
|x - 8| = x - 8, if x > 8
|x - 8| = 0, if x = 8
|x - 8| = 8 - x, if x < 8
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
|(x - 19) + 11|
This can be written as,
= |x - 19 + 11|
= |x - 8|
Now,
|x - 8| = x - 8, if x > 8
|x - 8| = 0, if x = 8
|x - 8| = 8 - x, if x < 8
Thus,
The expression without the absolute value symbol is:
|x - 8| = x - 8, if x > 8
|x - 8| = 0, if x = 8
|x - 8| = 8 - x, if x < 8
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Find the missing factor._____ x 5 = 3,000
A) 6
B) 60
C) 600
D) 6,000
Answer:
a = 600
Step-by-step explanation:
Algebraically:
[tex]a*5 = 3000\\a = \frac{3000}{5}\\ a = 600[/tex]
08.02 mc the function
Step-by-step explanation:
Question 2(Multiple Choice Worth 1 points)
(08.02 MC)
The function f(t) = 4t2 − 8t + 7 shows the height from the ground f(t), in meters, of a roller coaster car at different times t. Write f(t) in the vertex form a(x − h)2 + k, where a, h, and k are integers, and interpret the vertex of f(t).
f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 3 meters from the ground
f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 1 meter from the ground
f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 2 meters from the ground
f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 1 meter from the ground
whatever but please mark ma as BRAINLIEST answer please its a requestsCarly needs $149 to buy a skateboard. She already has $52. She earns money washing cars for $20 a car.
Carly says that if she washes 5 cars she will have enough money to buy the skateboard.
Is Carly correct? Use the drop-down menus to explain.
Choose...
; If Carly washes 5 cars, she will have a total of
Choose...
. This is
Choose...
then the cost of the skateboard, so she
Choose...
have enough money.
Answer:
$149 - price of the skateboard
$52 - Carly's money
$20 × 5 cars = $100
$100 + $52 = $152
$152 - $ 149 = $3
money left is $3
what shape is this will give brainliest and all that
Answer:
that is a Trapezoid
Step-by-step explanation:
it has two lines that are parallel and two lines that are not. crd. MathGeek99
Answer:
I believe it is a Quadrilateral
Step-by-step explanation:
It's a quadrilateral because of how many sides it has and other stuff
what is the sum of the factors for the number 18
Answer: 39
Step-by-step explanation:
The factors of 18 are: 1, 2, 3, 6, 9, 18
Add them together, and you get your answer.
PLEASE HELP AND EXPLAIN (WILL MARK BRAINLYIST)
Figure JKLMN is a scaled version of PQRST. The two figures are shown below.
The scale factor of figure JKLMN to figure PQRST is 3:2. If KL = 27 cm and MN = 45 cm, what is the length of side ST?
A.
30 cm
B.
40.5 cm
C.
67.5 cm
D.
18 cm
Answer: the answer is 40.5 cm
Step-by-step explanation:
first your gonna want to look at the numbers given and then solve.
The radius of a circle is 61 centimeters.
Enter the circumference of the circle, in centimeters. Round your answer to the nearest hundredth.
Answer:
Circumference of the circle=383.32cm
Step-by-step explanation:
r= 61cm π = 3.142
Formula for the circumference of a circle=2πr
Therefore;
Circumference=2×3.142×61 = 383.32cm.
Which function has a maximum with the same maximum value as
f(x) = – |x + 3| – 2? f(x) = (x + 3)2 – 2 f(x) = –(x – 6)2 – 3
Answer:
The answer is c on edge or f(x) = 1 sqt x + 6 -2
Step-by-step explanation:
From the given two options, none of them has a function that has the same maximum value as f(x) = -|x+3|-2.
What is a function?A function is a correspondence between input numbers (x-values) and output numbers (y-values). It is used to describe an equation.
Given that:
f(x) = -|x + 3| - 2Suppose that x = c is a critical point of (x) then,
If f'(x) > 0 to the left of x = c and f'(x) < 0 to the right of x = c;
then x = c is a local maximum.If f'(x) < 0 to the left of x = c and f'(x) > 0 to the right of x = c;
then x = c is a local minimum.If f'(x) is the same sign on both sides of x = c;
then x = c and is neither a local maximum nor a local minimum.From the given equation, the critical points: x = -3
The intervals is: Increasing at -∞ < x < -3 and decreasing at -3<x<∞If we put the point x = -3 into - |x+3|-2
Then, y = -2 and it is Maximum at (-3, -2) Only f(x) = (x+3)^2 - 2 has a minimum at (-3,-2)We can therefore conclude that none of them has a function that has the same maximum value as f(x) = -|x+3|-2.
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