Answers
Answer:
-1
Step-by-step explanation:
The PEMDAS rule is an acronym representing the order of operations in math:
ParenthesesExponentsMultiplication and Division (from left to right)Addition and Subtraction (from left to right)Therefore, we first need to carry out the operations in the parentheses. (If there is an exponent inside the parentheses, this should be done first).
\(\sf \dfrac{4^3 \div (-12+2^2)}{(2 \times 3)^2+(-5 \times 2 \times 3)+2}\)
\(=\sf \dfrac{4^3 \div (-12+4)}{(2 \times 3)^2+(-5 \times 2 \times 3)+2}\)
\(=\sf \dfrac{4^3 \div (-8)}{(6)^2+(-30)+2}\)
Next carry out the exponents:
\(=\sf \dfrac{64 \div (-8)}{36+(-30)+2}\)
Next carry out the multiplication and division (there is only a division here):
\(=\sf \dfrac{-8}{36+(-30)+2}\)
Next carry out the addition and subtraction, working from left to right:
\(=\sf \dfrac{-8}{6+2}\)
\(=\sf \dfrac{-8}{8}\)
Finally, simplify:
\(=\sf \dfrac{-8}{8}=-1\)
Related Questions
which of the following properly describe "slope"? Select all that apply
Answers
What is the solution to this problem and what did he do wrong? 4(x + 2) = 2 (x – 3) – 5x
Answers
Answer:
-2
Step-by-step explanation:
Answer:
it is wrong because he forgot to subtract the 5x
Step-by-step explanation:
I think this right I really hope it is though :-)
Imogen says that a circle with radius r has
the same area as a semicircle with radius 2r.
Do you agree with Imogen?
Explain your answer.
Answers
Answer:
Yes, Imogen is correct.
Step-by-step explanation:
The area for a circle is \(A=\pi r\), where A is the area, and r is the radius. The area of a semicircle with a radius two times our first is half of the area of the full circle. The area of a full circle two times the size of the first has two tiimes the area, so half of itis the same as the firsy
a random sample of size 36 is taken from a population with mean 17 and standard deviation 6. the probability that the sample mean is greater than 18 is?
Answers
The probability that the sample mean is greater than 18 as calculated is 0.8413.
Given data,
n = 36, sample size
μ = 17, population mean
σ = 6, population standard deviation
when x = 18
z = (18 - 17)/1 = 1
P(x <18) = 0.8413
Therefore , the probability = 0.8413
A population's standard deviation serves as a gauge for how widely distributed its individual data points are. It's a way to express how dispersed from the mean the data is.
While a large standard deviation indicates that the data is more spread, a small standard deviation indicates that the data points are often close to the mean.
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5 to 3 is equivalent to 60 to ?
Answers
60 divided by 5 is 12.
For the ratio to equal 5:3, multiply 3 by 12
Therefore, your new ratio is 60:36
I need help ASAP this is confusing
Answers
Answer:
x = -4
Step-by-step explanation:
Step 1: Write equation
-5x - 10 = 10
Step 2: Solve for x
Add 10 to both sides:-5x = 20Divide both sides by -5: x = -4Step 3: Check
Plug in x to verify it's a solution.
-5(-4) - 10 = 10
20 - 10 = 10
10 = 10
Consider the object whose base is the region 0 < x < 4 and 0 < y = 4, and whose height is given by f(x, y) = xy. (a) Use four subrectangles to approximate the volume of the object. Find an overestimate and an underestimate and average the two. Overestimate = Underestimate = Average =
Answers
The overestimate is 76, the underestimate is 34, and the average of the two is 55 and the volume of the object of 64.
To approximate the volume of the object, we can divide the base into four subrectangles of equal width, with each having a width of 1. The height of each subrectangle is given by the function f(x,y) = xy.
Subrectangle 1: (0,0) to (1,4), height = f(0.5, 2) = 1
Subrectangle 2: (1,0) to (2,4), height = f(1.5, 2) = 3
Subrectangle 3: (2,0) to (3,4), height = f(2.5, 2) = 5
Subrectangle 4: (3,0) to (4,4), height = f(3.5, 2) = 7
The volume of each subrectangle can be found by multiplying its width, height, and depth (which is equal to 4). So, the volume of the object can be approximated by:
V ≈ (1 x 4) + (3 x 4) + (5 x 4) + (7 x 4)
V ≈ 64
To find the overestimate and underestimate, we can use the maximum and minimum values of f(x,y) within each subrectangle.
Overestimate: Using the maximum value of f(x,y), we get:
Vmax ≈ (1 x 4) + (4 x 4) + (6 x 4) + (8 x 4)
Vmax ≈ 76
Underestimate: Using the minimum value of f(x,y), we get:
Vmin ≈ (0.5 x 4) + (1.5 x 4) + (2.5 x 4) + (3.5 x 4)
Vmin ≈ 34
To get the average, we can add the overestimate and underestimate and divide by 2:
Average = (Vmax + Vmin) / 2
Average = (76 + 34) / 2
Average = 55
Therefore, the overestimate is 76, the underestimate is 34, and the average of the two is 55.
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2.4 divided by 0.24 pllss help
Answers
Answer:
your answer is 10 Goodluck
What is the greatest common factor of 42, 30, and 45
Answers
Answer:
3
Step-by-step explanation:
Express the numbers as a product of their primes.
42 = 2 × 3 + 7
30 = 2 × 3 × 5
45 = 3 × 3 × 5
Identify the prime factors common to all 3 numbers.
common prime factor = 3 , thus
GCF = 3
Answer: 3
Step-by-step explanation: The factors of 30 are 1. 2. 3. 5. 6. 10, 15, 30
The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
The factors of 45 are 1, 3, 5, 9, 15, 45
As you can see they all share the factors of 1 and 3. Since 3 is the greatest number of the factors all of them share it is the greatest common factor.
what is the total area of the shaded sections of trapezoid?
Answers
The shaded sections of the trapezoid are triangles.
We know how to find the area of triangles
A = 1/2 bh
Lets start with the left triangle
The bases is 1.1 inches and the height is 3.8 inches
A left triangle is
A = 1/2 ( 1.1) * 3.8 = 2.09
The right triangle has the same dimensions
A right triangle is
A = 1/2 ( 1.1) * 3.8 = 2.09
Add the two triangles together
2.09+2.09 = 4.18 in^2
The area of the shaded region is 4.18 in^2
8. The fare for riding in a taxi is a $2 fixed charge and $0.30 per mile. The fare for a ride of d
miles is $8.65. Solve for d?
Answers
Answer:22.17
Step-by-step explanation:
8.65-2= 6.65
6.65/.30= 22.16666667
Round it
22.17 miles (also might round it to a while number i don’t know which they want so it could be just 22)
HELP PLEASEEEE
A bowl contains candies of the same size in three flavors: orange, strawberry, and pineapple. If the probability of randomly pulling out an orange candy is fraction 2 over 8 , and the probability of randomly pulling out a strawberry candy is fraction 3 over 8 , what is the probability of randomly pulling out a pineapple candy?
Answers
Answer:
3/8
Step-by-step explanation:
Answer:
Our ratio is 3/8.
Step-by-step explanation:
2 + 1 = 3, So 3/8.
If i gain 5 coins a minute and after 4 hours the amount i gain per minute goes up by 1, now 52674 hours have passed how many coins have i gained up till now
Answers
The correct answer is up until now, you have gained 18,963,816 coins.
Initially, you were gaining 5 coins per minute. After 4 hours, the rate increased by 1 coin per minute, so you were gaining 6 coins per minute.
To calculate the number of coins gained, we need to convert the given time of 52674 hours to minutes. There are 60 minutes in an hour, so:
52674 hours * 60 minutes/hour = 3,160,440 minutes
Now we can calculate the number of coins gained:
For the first 4 hours:
4 hours * 60 minutes/hour * 5 coins/minute = 1,200 coins
For the remaining time:
(3,160,440 minutes - 4 hours * 60 minutes/hour) * 6 coins/minute = 18,962,616 coins
Adding the coins gained during the initial 4 hours to the coins gained during the remaining time:
1,200 coins + 18,962,616 coins = 18,963,816 coins
Therefore, up until now, you have gained 18,963,816 coins.
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How do I do this equation to get the x and y some one please help me y=-20x+14 y=-8-44
I am giving 30 points
Answers
Answer:
y=-8-44
=-52
y=-20x+14
-52=-20x+14
-20x=-52-14
-20x=-66
x=-66
-20
y=3.3
The weight of one serving of chips is 2 1/4 ounces. How many servings are there in a 22 1/2 ounce bag of chips?
Answers
Answer:
There would be 10 servingg
Step-by-step explanation:
If there are 2 1/4 (2.25) ounces of chips in one serving, then you would divide the total, 22 1/2 (22.5) by the serving size.
2.5÷2.25= 10 servings
Find the area of the blue shaded figure.
3 cm
2 cm
6 cm
2 cm
6 cm
Answers
Answer:19 hope this helps
Step-by-step explanation:
Evaluate the triple integral ∭Ex8eydV, where E is bounded by the parabolic cylinder z=16−y2z=16 and the planes z=0,x=4,and x=−4
Answers
Refer to the images attached.
Solve for x given that
\( {64}^{2x - 1} = {32}^{x + 1} \)
Answers
Answer:
x = \(\frac{11}{7}\)
Step-by-step explanation:
note that 64 = \(2^{6}\) and 32 = \(2^{5}\) , thus
\((2^{6}) ^{2x-1}\) = \((2^{5}) ^{x+1}\) , that is
\(2^{6(2x-1)}\) = \(2^{5(x+1)}\)
\(2^{12x-6}\) = \(2^{5x+5}\)
Since the bases on both sides are equal, then equate the exponents
12x - 6 = 5x + 5 ( subtract 5x from both sides )
7x - 6 = 5 ( add 6 to both sides )
7x = 11 ( divide both sides by 7 )
x = \(\frac{11}{7}\)
will you please tell me what the answer is
Answers
Answer:
Ummm idek L O LLLLLL
Step-by-step explanation:
what is i to the power of 5
Answers
Answer: What does I stand for? If you meant 1, 1 to the power of 5 is 1.
Answer:
i
Step-by-step explanation:
i^5=(i)(i)(i)(i)(i)
Since i^2=(i)(j)=-1,
it follows that i^4=(i^2)(i^2)=(-1)(-1)=1.
Thus i^4*i=i^5=1*i=i.
Therefore, i^5=i.
A square garden has an area of 5 square feet. Without using a calculator, find the side length of the garden to the nearest tenth of a foot
Answers
Answer:
2.23
Step-by-step explanation:
tune able to find the area you should x one side by the other side to find the area 2.23 * 2.23 equals close to 5 square feet
difer from the true proportion by more than 2% ? A previous study indicates that the proportion of lefthanded sclontists is 9%. Round up to the nearest whicie number. Duestion 13 A. 1.218 B. 1,109 C. 14 D.767
Answers
The total number of samples will be 1109 .
Given ,
Margin of error 0.02
Here,
According to the formula,
\(Z_{\alpha /2} \sqrt{pq/n}\)
Here,
p = proportions of scientist that are left handed
p = 0.09
n = number of sample to be taken
Substitute the values,
\(Z_{0.01} \sqrt{0.09 * 0.91/n} = 0.02\\ 2.33 \sqrt{0.09 * 0.91/n} = 0.02\\\\\\\)
n ≈1109
Thus the number of samples to be taken will be approximately 1109 .
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Consider the following equation.
9x + 3y = 6
On a recent Algebra test, Brian was asked to rewrite the equation in slope-intercept form
The slope of the equation is
The y-intercept is
Answers
Answer: The slope is -3 and the y- intercept is (0,2)
Step-by-step explanation:
Select the correct answer from each drop-down menu. A system of linear equations is given by the tables. x y -5 10 -1 2 0 0 11 -22 x y -8 -11 -2 -5 1 -2 7 4 The first equation of this system is y = x. The second equation of this system is y = x − . The solution to the system is ( , ).
Answers
For the linear equations provided by the coordinates in the table;
The first equation of this system is y = -2x.
The second equation of this system is y = x - 3.
The solution to the system is (1, -2).
How do we solve for the system of linear equation?We have four points (-5,10), (-1,2), (0,0), and (11,-22) for first equation, and four points (-8,-11), (-2,-5), (1,-2), and (7,4) the second equation.
The slope (m) is given by the formula (y2 - y1) / (x2 - x1).
For the first line, we can use the points (-5,10) and (-1,2)
m1 = (2 - 10) / (-1 - (-5)) = -8/4 = -2.
the first equation is y = -2x
the second line, we can use the points (-8,-11) and (-2,-5)
m2 = (-5 - -11) / (-2 - -8) = 6/6 = 1.
the second line has a slope of 1,
the equation should have the form y = x + c.
To find c, we can use one of the points, for instance (-2,-5):
-5 = -2 + c => c = -5 + 2 = -3.
So, the second equation is y = x - 3.
the solution to the system, we need to find where the two lines intersect.
y = -2x
y = x - 3
Setting both equation equally
-2x = x - 3
=> 3x = 3
=> x = 1.
Substituting x = 1 into the first equation
y = -2(1) = -2.
the solution to the system of linear equation would be (1, -2).
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When Max was a puppy, he weighed 5, 1/2 pounds. At his 1-year check-up with the vet, Max weighed 15.8 pounds.How much weight did Max gain between the time he was a puppy and his 1-year check-up?
Answers
Answer:
10.3
Step-by-step explanation:
First, turn 5 1/2 to a decimal, and that is 5.5. Next subtract 15.8 to 5.5, and that is 10.3.
Solve the following problem using linear systems: You have a bottle of a 2% solution of iodine and a bottle of a 66% solution of iodine. You need 16 liters of a 47% solution. How many liters of the 2% and 66% solutions should you mix together?
Answers
The quantity of liters of the 2% and 66% solutions should you mix together is 4.75 and 11.25 liters.
let
x = liters of 2% solutiony = liters of 66% solutionx + y = 16
0.02x + 0.66y = 0.47 × 16
from (1)
x = 16 - y
Substitute into (2)
0.02x + 0.66y = 0.47 × 16
0.02(16 - y) + 0.66y = 7.52
0.32 - 0.02y + 0.66y = 7.52
- 0.02y + 0.66y = 7.52 - 0.32
0.64y = 7.20
y = 7.20/0.64
y = 11.25 liters
Substitute y = 11.25 liters into (1)
x + y = 16
x + 11.25 = 16
x = 16 - 11.25
x = 4.75 liters
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Leave I want to build a wooden box with a volume of 45 cm³
She started with a width of 3 cm and a height of 3 cm how long should Layla make the box
Answers
Answer:
5 cm
Step-by-step explanation:
volume equals length x width x height
then exchange the width for 3 and height for 3
3 x 3 = 9
45 divided by 9 = 5
therefore,
the answer is 5 cm
have a good day friend :)
Suppose that in a school with 150 total students, there are 10 students who have the flu. Administrators take an
SRS of 20 students to test for the flu. Let X = the number of students in the sample who test positive for the
flu.
Is X a binomial variable? Why or why not?
Answers
Answer:
The trials are not independent, so
X is not a binomial variable.
Step-by-step explanation:
The variable X is not a binomial variable. The reason for this is X is not independent.
What is a binomial variable?A binomial variable is a variable that determines the frequency that an event would happen in a fixed number of trials.
The conditions for a binomial variable include:
The observation fall into either a success or failure category with an equal chance of happening.There are a fixed number of observationsThe observations are independent.To learn more about binomial random variable, please check: https://brainly.com/question/25469830
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Julia travels in an airplane a distance of 3540km for one-third of the distance, the airplane flies at a speed of 720km/h and for the rest of the distance it flies at a speed of 800km/h. how long does the trip take
Answers
To solve this problem, we can use the equation: Distance = Speed x Time. Julia's trip takes 4.58 hours.
What is Distance?Distance is usually calculated by measuring the length or space between two points, or finding the shortest route between two points.
To solve this problem, we can use the equation:
Distance = Speed x Time
For the first part of the journey, the distance is 1/3 of 3540km, which is 1180km. We can use this distance and the speed of 720km/h to calculate the time:
Time = 1180km/720km/h
= 1.63 hours
For the second part of the journey, the distance is 2/3 of 3540km, which is 2360km.
We can use this distance and the speed of 800km/h to calculate the time:
Time = 2360km/800km/h
= 2.95 hours
Therefore, the total time for Julia's trip is
1.63 hours + 2.95 hours = 4.58 hours.
In conclusion, Julia's trip takes 4.58 hours.
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Which equations can be used to solve for y, the length of the room? Select three options.
y(y + 5) = 750
y2 – 5y = 750
750 – y(y – 5) = 0
y(y – 5) + 750 = 0
(y + 25)(y – 30) = 0