Answer: Éstos son los pasos para usar la estrategia del valor absoluto. Para sumar dos enteros con el mismo signo, suma sus valores absolutos. Luego, coloca el mismo signo de los dos enteros originales a la respuesta. Para sumar dos enteros con signos diferentes, resta el valor absoluto menor al valor absoluto mayor.
Step-by-step explanation: Ojalá esto ayude !
Answer:
El valor absoluto de un número consiste en su valor, sin importar su signo. Cuando tomamos el valor absoluto de un número, éste es siempre positivo o cero. ... Por ejemplo, el valor absoluto de 5 es 5. El valor absoluto de -5 es también 5.
Step-by-step explanation:
Find FH. please and thank you :)
Answer:
[tex]22[/tex]
Step-by-step explanation:
If FG= 8
and GH=14
G is a midpoint
To find FH you would add 8 and 14.
[tex]8 + 14 = 22[/tex]
Answer:
add it FH +GH
=8+14
=22 ans.....
Find the product of (x + 3)(x - 3)
Answer:
= x ^2-9 answer.,...,...,..
Sharon wants to open a checking account from which to pay bills. She wants online services, and a debit card, which both banks provide for free. Based upon past experience, she expects to accidentally overdraft the account 1 time per year, due to unexpected charges and miscommunications. She expects no 2nd copies of statements, and to use network ATMs 4 times per month with either bank. She has $3300 in an emergency savings account at First State Bank, and thinks that the balance will be enough to cover overdrafts in the future if automatic transfers are made when needed.
Answer:
a.No, Common Bank will save Sharon more money.
Step-by-step explanation:
There are two banks i.e. first state bank and the common bank that should be compared in the table depend upon the prices of both the banks
On seeing it we get to know that the first state bank would charged a fee on a monthly basis i.e. $4 while on the other hand the common bank has no fee on the monthly basis
Also the unsufficient bonds are more cheaper in the common bank if we compared with the first state bank
Moreover, the $7 is charged in the first state bank and $3 charged in the common bank.
Therefore the common bank would become cheaper
Hence, the correct option is a.
Answer:
Sharon wants to open a checking account from which to pay bills. She wants online services, and a debit card, which both banks provide for free. Based upon past experience, she expects to accidentally overdraft the account 1 time per year, due to unexpected charges and miscommunications. She expects no 2nd copies of statements, and to use network ATMs 4 times per month with either bank. She has $3300 in an emergency savings account at First State Bank, and thinks that the balance will be enough to cover overdrafts in the future if automatic transfers are made when needed.
A 4-column table with 5 rows. Column 1 is labeled First State Bank with entries monthly fee, non-sufficient funds fee, second copy of statement, network A T M usage, non-sufficient funds protection from a First State Bank savings account. Column 2 is labeled Description with entries 4 dollars, 36 dollars, 7 dollars, 3 dollars each transaction, 4 dollars on each day that a transfer occurs to cover an overdraft. Column 3 is labeled Common Bank with entries monthly fee, non-sufficient funds, second copy of statement, network A T M usage, non-sufficient funds protection from a Common Bank savings account. Column 4 is labeled Description with entries 0 dollars, 24 dollars, 4 dollars, 2 dollars each transaction, not offered with this account.
Based on the tables of fees, above, if Sharon chooses First State Bank, will it save her money over choosing Common Bank?
a. No, Common Bank will save Sharon more money. <<<---Correct b. Yes, First State Bank will save Sharon money. c. No, First State Bank and Common Bank would have the same costs for Sharon. d. No, costs cannot be estimated in advance, so this information cannot be used.Step-by-step explanation:
Edge 2021
What is the real part of the complex number when 4 plus 5i is multiplied with 2 minus i?
3 + 6i
13 + 6i
13
3
6
6i
Answer:
What I do not understand what you are asking, can you repeat it pls.
Step-by-step explanation:
Which shows all the factors pairs of 16?
I don't understand what you are talking about, but I can list you the factor pairs of 16!
16=1,16; 2,8; 4,4
Thise are all the factor pairs
Answer:
1 x 16,
2 x 8
4 x 4
Factors of 16: 1, 2, 4, 8, 16
Find the dimensions of the rectangular box of maximum volume if the sum of the length, width, and height equals 180. (Give exact answers. Use symbolic notation and fractions where needed.)
Step-by-step explanation:
Let the dimension of the box be x, y and z.
Volume of the box V = xyz
Since the box is a rectangular box, the base will be a square of equal length.
V = x²h where h is the height of the box
If the sum of the length, width, and height equals 180, then x+x+h = 180
2x+h = 180
h = 180-2x
Substitute h = 180-2x into the volume of the box
V = x²(180-2x)
V = 180x²-2x³
The box has its maximum volume when [tex]\frac{dV}{dx} = 0[/tex]
[tex]\frac{dV}{dx} = 360x-6x^{2}[/tex]
[tex]360x-6x^{2} = 0\\360x = 6x^2\\360 = 6x\\6x = 360\\x = \frac{360}{6}\\ x = 60[/tex]
Since 2x+h = 180
Substitute x = 60 into the equation ang get the height h
2(60)+h = 180
120+h = 180
h = 180-120
h = 60
Hence the dimension of the rectangular box is 60 by 60 by 60
The dimensions of the rectangular box of maximum volume are;
Length = 60
Length = 60Width = 60
Length = 60Width = 60Height = 60
Let the dimensions of the rectangular box be;
Length = x
Width = y
Height = h
Volume of a rectangular box is given by;
V = length × width × height
Thus;
Volume of this box in question is;
V = xyz
The box is called a rectangular box because it's sides are rectangular in shape but it's base will be square in shape.
Thus;
width = x and so;
V = x²h
We are given the sum of the length, width, and height of the rectangular box to be equal to 180.
Thus; x + x + h = 180
2x + h = 180
h = 180-2x
Put 180 - 2x for h in the equation for volume;
V = x²(180 - 2x)
V = 180x² - 2x³
The maximum volume will occur at the dimensions when dV/dx = 0. Thus;
dV/dx = 360x - 6x²
At dV/dx = 0, we have;
360x - 6x² = 0
6x² = 360x
x = 60
Recall that; h = 180 - 2x, thus;
h = 180 - 2(60)
h = 60
Read more at;https://brainly.com/question/19053087
The number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with a mean of 1262 chips and a standard deviation of 117 chips. (a) Determine the 28th percentile for the number of chocolate chips in a bag. (b) Determine the number of chocolate chips in a bag that make up the middle 97% of bags. (c) What is the interquartile range of the number of chocolate chips in a bag of chocolate
Answer:
Using z score formula:
X = z ∂ + µ
= 157.833
Step-by-step explanation:
Solution:
Mean = µ = 1262
Standard deviation = ∂ = 117
(a) 28th percentile for the number of chocolate chip.
P( z < z) = 28%
= 0.28
P( z<- 0.58) = 0.28
Z = -0.58
By using z score formula:
Z = x - µ /∂
-0.58= x – 117 / 1262
X = (- 0.58)(117) + (1262)
= 1194.14
(b) Middle 97% of bag.
P(-z < z < z) = 97%
= 0.97
P( z < z) – p(z < -z) = 0.97
2p(z < z) -1 = 0.97
2p (z < z) = 1 + 0.97
P(z < z) = 1.97 / 2
= 0.99
P(z < 2.33) = 0.99
Z ± 2.33
By using z score formula:
Z = x - µ / ∂
X = z ∂ + µ
= - 2.33 x 117 + 1262
=989.39
Z = 2.33
X = z ∂ + µ
= 2.33 x 117 + 1262
=1533.61
(c) What is the interquartile range of the number of chocolate chips in a bag of chocolate.
By using standard normal table,
The z dist’n formula:
P(z < z ) = 25%
=0.25
P(z < -0.6745) = 0.25
Z = 0.6745
Using z score formula:
X = z∂ + µ
= - 0.6745 x 117 + 1262
= 1183.0835
First quartile = Q1 =1183.0835
The third quartile is:
P(z<z) = 75%
= 0.75
P(z < 0.6745) = 0.75
Z = 0.6745
Using z score formula:
X = z ∂ + µ
= 0.6745 x 117 + 1262
= 1340.9165
IQR = Q3 – Q1
= 1340.9165 – 1183.0835
= 157.833
Help plz I need it ASAP give poinys
Answer:
1 4/5
Step-by-step explanation:
Download photogmath
Answer:
1 7/8
Step-by-step explanation:
9÷4 4/5
=9÷24
=9/1×5/24
=
9×5
-----------
1×24
=45/2
15/8=1 7/8
Solve the inequality. 12x<-144
Answer:
Step-by-step explanation:
x=-12
Answer:
x= -12
Step-by-step explanation:
-2 1/2 x (-1 2/3) what is the answer for this question
Answer: 4 1/6
Step-by-step explanation:
Plzzzzzzzz heeeelllppp
Which equation would you choose in order to most easily identify the vertex?
K
y = 9x4 + 6x2 +1
y = x2 + 6x + 9
y = (x + 6)(x + 9)
y = (x + 6)2 +9
a 5
Answer:
last
Step-by-step explanation:
Customers at the Palace Pro Shop receive a 10% discount if they are members. All customers must pay 7% in sales tax. The function f(x)=0.9x is used to determine the price of an item after the 10% member discount, where x is the regular price of the item. The function g(x)=1.07x is used to determine the total amount customers pay for a purchase after all discounts are applied. Which function can be used to determine T(x), the total amount a member pays for an item with a regular price of x dollars?
Answer:
The total amount a member pays for an item with a regular price of x dollars is T (x) = 0.963x.
Step-by-step explanation:
Key points:
Discount is subtracted from the regular price of an item.Sales tax is added to the regular price of an item.It is provided that the customers receive a 10% discount if they are members and all customers must pay 7% in sales tax.
Two functions are provided are:
f (x) = 0.90x ; the price of an item after the 10% member discount
g (x) = 1.07x ; the total amount customers pay for a purchase after sales tax is applied.
Compute the total amount a member pays for an item with a regular price of x dollars as follows:
T (x) = Discount × Sales Tax
= 0.90 × 1.07 × x
= 0.963x.
Thus, the total amount a member pays for an item with a regular price of x dollars is T (x) = 0.963x.
Which one doesn't belong? Give me two reasons why. There are no wrong answers. please answer. Picture posted
5/4; it is an inproper fraction in a group of proper ones. it also doesnt have a 2 anywhere.
20/25; it is the only one that isnt simplified. it also has double didgits in both the numerator and denominator
9(k+12)+4k2 when k= 3 the 2 is small
Answer:
the answer is 4k^2+9k+108
Step-by-step explanation:
Answer:
171
Step-by-step explanation:
When you say "the 2 is small" I think you mean it's an exponent so the equation would look like....
[tex]9(k+12) + 4k^{2}[/tex]
if k=3 we would replace all the k's with 3.
9(3+12) + 4(3)²
9(15) + 4(9)
135 + 36
171
So the answer would be 171
Hope that helps and have a great day!
Two trains leave a station, one headed due west and the other headed due south. How fast is the southern bound train moving if the west bound train is 15 miles from the station traveling at a constant speed of 35 mph, the distance between the trains is 24 miles, and the distance between them is increasing at a rate of 25 mph.
Answer:
dx/dt = 4 mph
Step-by-step explanation:
The two trains, with the station ( origin of the coordinates system) all, form a right triangle when we considered the distance between the two trains.
In that triangle:
distance between trains D = 24 miles
leg (1 ) distance of train going west to origin y = 15 miles
leg (2) distance of train going south x = ??
When d = 24 and y = 15
D² = y² + x² ⇒ x² = D² - y²
x = √ (24)² - (15)²
x = √351
x = 18,73 miles
Now according to Pythagoras theorem
D² = x² + y²
Taking derivatives (respect to time) on both sides of the equation we get
2*D*dD/dt = 2*y*dy/dt + 2*x*dx/dt
In this expression we are looking for dx/dt, all the rest of variables are known
2*24*25 = 2* 15*35 + 2*(18,73)* dx/dt
(1200 - 1050 )/37,46 = dx/dt
dx/dt = 4 mph
Fraction Multiplication and División:Question 4
Tina has $72 to spend on new t-shirts. If each t-shirt costs $12,
how many different t-shirts can Tina buy? Set up a fraction to
determine how many t-shirts Tina can buy. Then solve.
Answer: 6 T-shirts
Step-by-step explanation:72/12=6
Write the equation the graph pictured below:
Answer:
It would be the first one (y-2=1/3(x-2))
Step-by-step explanation:
The first one is the same function as y=x(1/3)+(1+1/3) which is the same function as the photo.
Determine if the sequence 2, 8, 17, 29, ... is arithmetic. If it is, determine the first term a and the common difference d.Is the sequence 2, 8, 17, 29, ... arithmetic?
Answer:
Yes
Step-by-step explanation:
Starting with 2, the step to the next number is 6. Each step increases by 3.
When you are on 8, the next step is an increase of 9. The next step is an increase of 12, The next step not shown would increase by 15 for give you 44.
So the first step would be 3 below the number 6 which would be subtracted from 2 to give you - 1 as your first starting point.
The common difference is 3(n) where n is an integer starting with 0 and incrementing by 1 with each new Y2 and Y1 is -1.
The equation Y2 = 3(n+1) + Y1 where n=0
(PLS HELP 50 PTS + BRANLIEST)
A={2, 3, 5, 7, 10} B={1, 4, 6, 8, 9, 10}, C={5, 6, 7}. The universal set U={1, 2, 3, 4, 5, ...10} List the elements of the following:
AUC=
A⋂U=
A⋂Ø=
Ā=
ĀUB=
Answer:
AUC= {2,3,5,6,7,10}
The second one=A
The third one= empty
I'm sorry. I don't know the others.
Communities A, B and C are faced with water problem. The distance between communities A and B is 5km and that of A and C is 7km, the angle between the path AB and AC is 45 degrees. If a well a well is to dug for the communities, indicate by way of sketching exact place to dig the well
Answer:
3.5 km between communities AC
Step-by-step explanation:
The idea is to find a common position for all the communities to locate the well
Kindly find attached a rough sketch of the problem for your reference.
Given that
AB=5km
AC=7km
From the diagram we can see that for all three communities to travel equal distance to the common well, the well has to be situated at 3.5km between communities AC.
Also, from the diagram the location of well is the intersection between the diagonals of the rectangular shape.
Put a check mark for each set the number is part of:
1.56432...
Natural
Whole
Integer
U
Rational
Irrational
Real
Answer:
Irrational Number
Step-by-step explanation:
Given
[tex]Number = 1.56432..[/tex]
Required
Determine which set of number it is
The given number is not a natural number, whole number and it is not an integer because it contains decimal point
The given number is not rational because it can not be expressed as a fraction of two whole numbers.
Hence:
The set of the number is irrational
Three students spent $12 on school lunch. At that rate, find the amount 10 students would spend on the same school lunch.
Of the 52 cards in the deck, four are aces and others (kings, queens, jacks, and tens) are worth 10 points each. The dealer has a blackjack if one card is an ace and the other is worth 10 points; it doesn't matter which card is face up and which card is face down. How many different blackjack hands are there?
Answer:
64 different black jack hands
Step-by-step explanation:
there are 4 aces in a deck, and you can score a blackjack if any of these 4 aces is paired with any of the 16 different cards that are worth 10 points. Total number of different blackjack combinations = 4 aces x 16 different tens = 64.
Even though the number of possible blackjack hands might seem large, the possibilities of actually getting one are really low:
possibility of getting 1 ace = 4/52 = 1/13
possibility of getting 1 ten = 16/51
possibility of getting a blackjack = 16 / 663
if you start with the 10 first the odds are the same:
possibility of getting 1 ten = 16/52 = 4/13
possibility of getting 1 ace = 4/51
possibility of getting a blackjack = 16 / 663
what monthly amount is needed for a car loan with a starting balance of 8000 over 3 years with a fixed APR of 0.65%?
Answer:
80,341.99
Step-by-step explanation:
pay each Month $80 for 19 years , interest measured 3%
Find the product. Enter your answer in the box.
2.4 x0.87
Answer:2.088
Step-by-step explanation:
2.088
In the worst storm in Sunnyville history, 6 inches of rain fell in 8 hours. What was the amount of rainfall per
hour?
A: 1/2 of an inch
B: 3/4 of an inch
C: 1 1/2 inches
D : 2 inches
Answer:
B. 3/4
Step-by-step explanation:
6/8=0.75
Answer: B
Step-by-step explanation:
6 = 8
3 = 4
1.5 = 2
0.75 = 1
Hope this helps!
A ball is thrown vertically upwards with an initial velocity of 22 m/s. When will its speed be 10
m/s?
Answer:
The ball's speed will be 10 m/s at t=1.22 seconds
Step-by-step explanation:
The vertical motion of an object is controlled by the force of gravity. This means that there is a non-zero net force acting on the object that makes it accelerate downwards.
If the object is thrown upwards at speed vo, its speed at time t is:
[tex]v_f=v_o-g.t[/tex]
Where g is the acceleration of gravity [tex]g=9.8 m/s^2.[/tex]
Our ball is thrown upwards with v0=22 m/s. We need to calculate the time when its speed is vf=10 m/s.
Solving the above equation for t:
[tex]\displaystyle t=\frac{v_o-v_f}{g}[/tex]
Substituting:
[tex]\displaystyle t=\frac{22-10}{9.8}=\frac{12}{9.8}[/tex]
t=1.22 seconds
The ball's speed will be 10 m/s at t=1.22 seconds
50 BRAINLY POINTS PLS HELP
Answer:
Hello!!! erz here ^^
Step-by-step explanation:
I believe the answer is y = 8x - 3 (Option B)
Hope this helps!! :D
hello I need help on it