Hey there!
Option A.
(4 + 5) * 3^2 - 9 ÷ 3^2
= 9 * 9 - 9 ÷ 9
= 81 - 1
= 80
Thus, that answer is: [incorrect]
Option B.
4 + 5 * (3^2 - 9) + 3^2
= 4 + 5 * (9 - 9) + 9
= 4 + 5 * (0) + 9
= 4 + 5(0) + 9
= 4 + 0 + 9
= 4 + 9
= 13
Thus, that answer is also [incorrect]
Option C.
4 + 5 * 3^2(-9 ÷ 3^2)
= 4 + 5 * 3^2(-9 ÷ 9)
= 4 + 5 * 3^2(-1)
= 4 + 5 * 9(-9)
= 4 + 5(9) * -1
= 4 + 45 * -1
= 4 - 45
= -41
Thus, that answer is also [incorrect]
Option D.
4 + 5 * 3^2 - 9 ÷ 3^2
= 4 + 5(9) - 9 ÷ 9
= 4 + 45 - 9 ÷ 9
= 49 - 9 ÷ 9
= 49 - 1
= 48
Therefore, your answer is: Option D.
Good luck on your assignment & enjoy your day l!
~Amphitrite1040:)
Answer:
Option D
Step-by-step explanation:
To find out which expression has a value of 48, we need to recall the PEMDAS (where: P = Parenthesis, E = Exponents, M/D = Multiplication or Division, A/S = Addition or Subtraction).
A) [4 + 5] × 3² - 9 ÷ 3²
First, simplify the expression in the parenthesis as PEMDAS
⇒ [9] × 3² - 9 ÷ 3²
Pull the "9" out of the parenthesis
⇒ 9 × 3² - 9 ÷ 3²
Simplify the exponents as PEMDAS
⇒ 9 × 9 - 9 ÷ 9
Multiply the first two terms in the expression as PEMDAS
⇒ 81 - 9 ÷ 9
Divide the last two terms as PEMDAS
⇒ 81 - 1
Finally, simplify the expression.
⇒ 80
⇒ 48 ≠ 80
B) 4 + 5 × (3² - 9) ÷ 3²
First, simplify the expression in the parenthesis as PEMDAS.
We can see here that the expression in the parenthesis includes a constant with a negative sign and an exponent. To simplify the expression, we need to simplify the exponent. Once the exponent is simplified, we can simplify the expression in the parenthesis.
⇒ 4 + 5 × (3² - 9) ÷ 3²
⇒ 4 + 5 × (9 - 9) ÷ 3²
⇒ 4 + 5 × (0) ÷ 3²
Pull the "0" out of the parenthesis
⇒ 4 + 5 × 0 ÷ 3²
Simplify the exponent as PEMDAS
⇒ 4 + 5 × 0 ÷ 9
Multiply the middle two terms as PEMDAS
⇒ 4 + 0 ÷ 9
Divide the last two terms as PEMDAS
⇒ 4 + 0
Add the two terms in the expression as PEMDAS
⇒ 4
⇒ 4 ≠ 48
C) 4 + 5 × 3²(-9 ÷ 3²)
First, simplify the expression in the parenthesis as PEMDAS
⇒ 4 + 5 × 3²(-9 ÷ 3²)
⇒ 4 + 5 × 3²(-9 ÷ 9)
⇒ 4 + 5 × 3²(-1)
*3²(-1) can also be written as 3² × -1*
⇒ 4 + 5 × 3² × -1
Simplify the exponent as PEMDAS
⇒ 4 + 5 × 9 × -1
Multiply the last three terms as PEMDAS
⇒ 4 + 5 × 9 × -1
⇒ 4 + (-45)
Add/Subtract the last two terms as PEMDAS
⇒ 4 - 45
⇒ -41
D) 4 + 5 × 3² - 9 ÷ 3²
Since there are no parenthesis in the expression, we can start simplifying this expression by simplifying the exponents.
⇒ 4 + 5 × 3² - 9 ÷ 3²
⇒ 4 + 5 × 9 - 9 ÷ 9
⇒ 4 + 5 × 9 - 9 ÷ 9
Multiply the second and the third terms as PEMDAS
⇒ 4 + 45 - 9 ÷ 9
Divide the last two terms as PEMDAS
⇒ 4 + 45 - 1
Add/Subtract the terms as PEMDAS
⇒ 4 + 44
⇒ 48
⇒ 48 = 48 ✔✔
In conclusion, we can say that option D is correct because the expression of Option D has a value of 48.
Tom had a homework assignment to graph only the coordinates that would lie in Quadrant Ill of the coordinate grid. Which point below could have been one of the points that Tom graphed?
A (-3,-7)
B (-2,5)
C (1.6)
D (5, -13)
Question #31
The required point that could have been one of the points that Tom graphed is (-3,-7) lies in Quadrant III. The correct answer would be an option (A).
What is the quadrant?A quadrant is defined as an area contained by the x and y axes, which there are four quadrants in a graph.
A point that could have been one of the points that Tom graphed is (-3,-7). This is because it lies in Quadrant III of the coordinate grid. In Quadrant III, the x-coordinate is negative and the y-coordinate is negative.
Point A has a negative x-coordinate and a negative y-coordinate, so it satisfies the requirement of being in Quadrant III.
Hence, the correct answer would be option (A).
Learn more about the quadrant of the graph here:
brainly.com/question/7196312
#SPJ2
Given the expression which operation would you perform first?
Hey there!
Let's use PEMDAS:
P=Parentheses
E=Exponents
M=Multiplication
D=Division
A=Addition
S=Subtraction
So, let's use this formula in order to solve this problem.
We have:
3(4²)+4+16-9
According to PEMDAS, the first operation is
Parentheses (in this case, exponents)
Hence, the answer is
[tex]\boxed{\boxed{\bold{Option\;B}}}[/tex]
Hope everything is clear.
Let me know if you have any other questions; if so, please comment.
#LearningDoesn'tEnd
#LearningIsFun
[tex]\rule{200}{2}[/tex]
f(x)=3x^2-5x+3
f(-2)=
f(-1)=
f(0)=
f(1)=
f(2)=
Answer
answer is 19
Step-by-step explanation:
hope it's help
-1/4 (24ab + 8c) please help
A game costs $1.00 to play. In the game, the player picks a card at random from a standard deck of cards. If the card is a face card, the player receives $7.00 if the card is not a face card, the player receives nothing.
What is the expected value for the player?
The expected value for the player by participating in the game of the deck of cards is $0.50.
What is the expected value?The expected value is the payoff that is expected less the cost of the game.
Expected value = total benefits of the game - cost
(fraction of face cards x payoff of picking a face card) + 0 - $1
(12/52 x 7) - $1 = $0.50
To learn more about expected value, please check: https://brainly.com/question/26181966
A worker is getting a 4.5% raise. His current salary is $35,591. How much will his raise be?
His raise will be $
(Type an integer or decimal rounded to two decimal places as needed.)
Help me solve this
View an example
Get more help
Find the missing numerator that will make the rational expressions equivalent.
82x+7=?6(2x+7)
The missing numerator that will make the rational expressions equivalent is (82x + 7) / (12x + 42)
What is an equation?
An equation is an expression that shows the relationship between two or more variables and numbers.
Let y represent the missing numerator, hence:
82x + 7 = y * 6(2x+7)
82x + 7 = y * (12x + 42)
y = (82x + 7) / (12x + 42)
Find out more on equation at: https://brainly.com/question/2972832
Original price 770$ is on sale at a 9% off what is the discount amount and sale price ?
Answer:
770 x 9/100 = 69.3
the discound amount = 69.3$
the sale price = 770 - 69.3 = 700.7$
What is the factorization of the expression below?
16x^2 - 49
A. (4x + 7)(4x - 7)
B. (4x - 7)(4x - 7)
C. (8x - 7)(2x - 7)
D. (8x + 7)(2x - 7)
Answer:
[tex](4x+7)(4x-7)[/tex]
Step by step explanation:
[tex]16x^2 -49\\\\=(4x)^2-7^2\\\\=(4x+7)(4x-7)~~~~~~~~~~;[a^2-b^2 =(a+b)(a-b)][/tex]
Melanie invested $63,000 in an account paying an interest rate of 7\tfrac{1}{8}7
8
1
% compounded quarterly. Lillian invested $63,000 in an account paying an interest rate of 7\tfrac{3}{8}7
8
3
% compounded continuously. After 15 years, how much more money would Lillian have in her account than Melanie, to the nearest dollar?
given tan 0= -15/8 where 270º < 0 < 360°
Given tan 0 =
Find cos 0
Answer:=8/17
Step-by-step explanation:
Un portapapeles cuesta $2.23. Cuesta $0.58 más que un cuaderno. Lisa compró dos portapapeles
y un cuaderno. Ella pagó con un billete de diez dólares. ¿Cuánto cambio recibió Lisa? Usa un diagrama
de cinta para mostrar tu razonamiento.
Answer:
3.38
Step-by-step explanation:
primero tienes que restar 2.23 por 0.58 que es igual a 1.65 luego sumas 1.65 por 4.46 porque 2.23 multiplicado por 2 es igual a 4.46 y eso es igual a 6.11 luego tienes que restar 10 por 6.11 que es igual a 3.89
4
Find the perimeter of a
Square with a side
length of 7 meters.
Answer: P=28 meters
Step-by-step explanation:
[tex]P=4[/tex] × a ⇒ a is the side length
[tex]P=4[/tex] × [tex]7[/tex]
[tex]P=28[/tex]
Answer:
28 m
Step-by-step explanation:
Given
Side length = 7 mPerimeter of a square
4 x Side length4 x 728 mWhich number is bigger: 0.135 or 0.14?
Help help help help aspab
Answer:
Straight
Step-by-step explanation:
∠RQT is a straight angle.
Answer:
Straight
Step-by-step explanation:
∠RQT is a straight angle with a measure of 180°.
hope this helps!! p.s. i really need brainliest :)
Convert the following to sq. cm or to sq. m, as required.
920 000 sq. cm= ______ sq. m
Answer:
The answer is 92
Step-by-step explanation:
1 m = 10,000cm
920,000/10,000=92
Two years ago, Erin was 35 inches tall. To ride the roller coaster at a theme park, she must be at least 42 inches tall. If she was able to ride the roller coaster this year, how many inches did Erin grow?
Answer:
In two years erin grew 7 inches
Step-by-step explanation:
42 - 35 = 7
Answer:
atleast 7 inches
Step-by-step explanation:
35 inches - 42 inches = 7 inches
Two years ago, Erin was 35 inches tall.
To ride the roller coaster at a theme park, she must be at least 42 inches tall. So that means she grew atleast 7 inches
use the equality below to answer the question
0.08g+0.2<5
Answer:
g< 0.0153
Step-by-step explanation:
0.08g +0.2 < 5
0.08g < 5 + 0.2
0.08g < 5.2
g< 0.0153
If 35% of a number is 56 and 25% of the same number is 40 find 60% of that number
35%= 56
100%= 56÷35×100
100%= 160
25%= 40
100%= 40÷25×100
100%= 160
60%= 160÷100×60
60%= 96
p(x)=(x+2)(2x+7)(x-1)(x-3)
[tex]p(x)=(x+2)(2x+7)(x-1)(x-3)\\ \\~~~~~~=(2x^2 +7x + 4x +14)(x^2 -3x -x +3)\\\\~~~~~~=(2x^2 + 11x +14)(x^2 - 4x +3)\\\\~~~~~~=2x^4-8x^3 + 6x^2 + 11x^3 - 44x^2+33x + 14x^2 - 56x + 42\\ \\~~~~~~=2x^4+3x^3-24x^2-23x +42[/tex]
Use the distributive property to write the following expressions in expanded form. 4(x +y)
Answer:
4x+4y
Step-by-step explanation:
Answer:
4x + 4y
Step-by-step explanation:
To do this you need to know that the number (or variable) on the outside of the parenthesis must be multiplied to all of the numbers/variables on the inside of the parenthesis.
So here, you want to multiply x by 4:
4x
Then multiply y by 4:
4y
And because the expression is adding the x and y, it comes out as:
4x + 4y
Help picture below problem 17
Answer:
40
Step-by-step explanation:
Angle KPJ is going to have the same measure as Angle DPE. This problem is a bit tricky, but I'll try my best to explain it. A straight angle is basically just a straight line, and it equals 180 degrees. Angle FPG is a straight angle.
To find the measure of Angle KPJ, we first have to find the measure of angle DPE, and the way we're gonna do that is add together the other angles in the straight angle (which would be Angle FPD and Angle EPG) and then subtract that from 180 (measure of a straight angle).
That might have sounded a bit confusing, but that's the best way I could explain it. Now, let's add Angle FPD and Angle EPG.
105 + 35 = 140
Now, let's subtract that from 180.
180 - 140 = 40
We now know that the measure of Angle DPE is 40, and since it's equivalent to Angle KPJ, our answer is 40!
I know that was confusing, but I hope it helped a little bit! Have a lovely day!! :)
Jack had m math problems to complete during his vacation. He solved the same number of problems everyday and finished them all in 5 days. (a) how many problems did jack solve per day? (b) suppose jack was solving 15 problems per day. (c) How many problems were assigned for homework
Jack's problems illustrates algebraic expressions
He solved m/5 problems everyday.75 questions were assigned in totalNumber of problems solved per dayThe given parameters are:
Problems = mNumber of days = 5The number of questions solved per day is calculated as:
Daily = Days/Problems
So, we have:
Daily = m/5
Number of problems in the assignmentWe have:
Daily = m/5
He solved 15 daily.
So, the equation becomes
m/5 = 15
Multiply both sides by 15
m = 75
Hence, 75 questions were assigned in total
Read more about expressions at:
https://brainly.com/question/723406
Which of the following is equivalent to
x
2
+
5
x
+
1
=
0
?
Answer:
x= -1/7
Step-by-step explanation:
2x + 5x + 1 = 0
7x = -1
x = -1/7
Part A: Given sine of theta is equal to radical 3 over 2 comma determine three possible angles θ on the domain [0,∞).
Part B: Given θ = 675°, convert the value of θ to radians and find sec θ.
(Picture below is equation stated in Part A)
Answer:
A. {60°, 120°, 420°}
B. θ = 15π/4; sec(θ) = √2
Step-by-step explanation:
A.The sine function is periodic with period 360°, and it is symmetrical about the line θ = 90°. The reference angle for the given value of sin(θ) is ...
θ = arcsin(√3/2) = 60°
The next larger angle with the same sine is (2×90°) -60° = 120°. Any multiple of 360° added to either one of these angles will give an angle with the same sine. A possible set of 3 angles is ...
{60°, 120°, 420°}
__
B.One degree is π/180 radians, so the given angle in radians is ...
θ = 675° = 675(π/180) radians = 15π/4 radians
This angle has the same trig function values as 7π4, a 4th-quadrant angle with a reference angle of π/4, or 45° The secant of that angle is
sec(45°) = √2
The 4th-quadrant angle has the same sign, so ...
sec(675°) = sec(15π/4) = √2
What is the volume of this right prism?
96 in³
60 in³
48 in³
44 in³
Answer:
96 in³
Step-by-step explanation:
Volume = 2(BHD) / 2
The 2s cancel out
Volume = 3(8)4
Volume = 96
Brook's score in a card game is 713 + 102 + 516. On her next turn, she draws one of the cards shown. Now her score is (713 + 102 + 516) ÷ 2. Which card did Brook draw? Explain.
I need help with this question can someone help??
Question is in photo :p
Answer:
The answer to this question is 0.6
Step-by-step explanation:
Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating 20% tip on a bill of $46.69, the amount of the tip is approximately $_____
Answer:
9 doller
Step-by-step explanation:
we will find 20 percent of 46.69
is=pxw divided by 100
=9.338
or 9 doller
Do basketball players hit a higher proportion of free throws when they're playing at home or when they're playing away this best is assessed by using
Answer:
home
Step-by-step explanation:
I'm not sure I'm just guessing honestly