Answers
Answer:
1. 62
2. 13
3. 6
4. 44
5. 3
6. 14
7. Step 1
8. Step 3
Step-by-step explanation:
Work for #1
32÷4×8-2
8×8-2
64-2
62
Work for #2
20÷2+3
10+3
13
Work for #3
[tex]\frac{1}{2}[/tex] ×24÷3+2
12÷3+2
4+2
6
Work for #4
2×(3+8)-4
2×24-4
48-4
44
Work for #5
(4+6÷3)×[tex]\frac{1}{2}[/tex]
(4+2)×[tex]\frac{1}{2}[/tex]
6×[tex]\frac{1}{2}[/tex]
3
Work for #6
21÷3+(8-1)
21÷3+7
7+7
14
Explanation for #7
Step 1
This is because in PEMDAS, you do multiplication before subtraction. In the first step, they did subtraction before multiplication.
Explanation for #8
Step 3
This is because in PEMDAS, you do multiplication before subtraction. In the first step, they did subtraction before multiplication.
Hope this helps!
Related Questions
PLEASE HELP ASAP!!
Complete the table for the function below.
y = x^2
Answers
[tex]y = {x}^{2} [/tex]
Substitute the values of x to find y. Example:
[tex]when \: x = - 1 \\ y = { - 1}^{2} \\ y = 1 [/tex]
So do that for the other values of x.
A function is given by f(x) =
[tex] \sqrt[4]{x} [/tex]
Evaluate f'(16).
Answers
Answer:
[tex]\displaystyle f'(16) = \frac{1}{32}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
[tex]\displaystyle f(x) = \sqrt[4]{x}[/tex]
f'(16) is x = 16 for the derivative f'(x)
Step 2: Differentiate
[Function] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle f(x) = x^{\frac{1}{4}}[/tex]Basic Power Rule: [tex]\displaystyle f'(x) = \frac{1}{4}x^{\frac{1}{4} - 1}[/tex]Simplify: [tex]\displaystyle f'(x) = \frac{1}{4}x^{\frac{-3}{4}}[/tex]Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle f'(x) = \frac{1}{4x^{\frac{3}{4}}}[/tex]Step 3: Solve
Substitute in x [Derivative]: [tex]\displaystyle f'(16) = \frac{1}{4(16)^{\frac{3}{4}}}[/tex]Evaluate exponents: [tex]\displaystyle f'(16) = \frac{1}{4(8)}[/tex]Multiply: [tex]\displaystyle f'(16) = \frac{1}{32}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
..................help..........................
Answers
THE CORRECT ANSWER is 25 Cm³
Explanation:
Let's consider the vertical block first, having height 8cm, length 1 cm, width 2cm.
Hence the volume of that block = l.w.h = 8×2×1 = 16 cm³
Coming to the horizontal block, having height 3cm, width 3cm, & length 1 cm.
Hence the volume of that block will be = 3×3×1 = 9 cm²
The total volume of irregular figure = Volume of vertical block + horizontal block = 16+9 = 25 cm³
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Angle a and angle b are supplemetary angles. If m angle a = (5x+25) and m angle b = (x+17) then find the measure of angle a
Answers
Answer:
The measure of angle a is of 140º.
Step-by-step explanation:
Supplementary angles:
If two angles are supplementary, their measures add to 180º.
Angle a and angle b are supplemetary angles.
This means that
<a + <b = 180º.
m angle a = (5x+25) and m angle b = (x+17)
So
[tex]5x + 25 + x + 17 = 180[/tex]
[tex]6x + 42 = 180[/tex]
[tex]6x = 138[/tex]
[tex]x = \frac{138}{6}[/tex]
[tex]x = 23[/tex]
Measure of angle a:
[tex]<a = 5x + 25 = 5(23) + 25 = 140[/tex]
The measure of angle a is of 140º.
Amanda found the equation 10x+5y=20 in the “linear equations” chapter of her math book.
Answers
All possibilities were discussed in order to write the required linear equation.
The given linear equation is:
[tex]10x+5y=20[/tex]
What is a linear equation?An equation of the form ax+by+c=0 is called a linear equation where a, b, c∈R
For a unique solution, we need an equation ax+by+c=0 such that
[tex]\frac{10}{a} \neq \frac{5}{b}[/tex]
For infinitely many solutions, we need an equation ax+by+c=0 such that
[tex]\frac{10}{a} =\frac{5}{b} =\frac{-20}{c}[/tex]
Hence, all possibilities were discussed in order to write the required linear equation.
To get more about linear equations visit:
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A manatee swims 1/4 mile in 3 minutes. What is its swimming speed in miles per hour?
NO LINKS PLZ
I WILL MARK BRAINLIEST
Answers
Step-by-step explanation:
I believe that the manatee can swim 5 miles per hour
Julie has 2 cherry lollipops, 4 lime lollipops, and 3 grape lollipops in a bag. She is going to select one lollipop, replace the lollipop in the bag, and then select a second one. What is the probability that Julie will select a cherry lollipop and then a lollipop other than lime?
Answers
Answer:
the answer is simple B 10/81
Step-by-step explanation:
Answer:
The Guy/Girl Above me was correct! its B.
Step-by-step explanation:
28.
If 30% of a number is 15, what is the number?
No links!!
I will report if say something wrong.
Will give brainlest
Answers
Answer:
50
Step-by-step explanation:
30% * n = 15
Change to decimal form
.30 *n = 15
Divide each side by .30
.30n/.30 = 15/.30
n =50
The number is 50
An example for my question before
Answers
Answer:
angle c is 82 degree because 82 degree and angle c are corresponding angles.
Step-by-step explanation:
note :corredponding angles are always equal.
the sum of co interior angle id 180 degree.alternate angle are equalthe sum of co exterior angle is 180 degreethe sum of alternate exterior angle is 180 degreeFind the radius r of C.
Answers
Answer:
10
Step-by-step explanation:
By Pythagoras' Theorem:
16 + r = √(24^2 + r^2)
(16 + r)^2 = 24^2 + r^2
256 + 32r + r^2 = 576 + r^2
32r = 320
r = 10
Solve the following expression when
C= 8
4c = (2 • 2)
Answers
Answer:
the answer is 8
Step-by-step explanation:
Simplify the expression. Write your answer as a power.
Answers
Please help! I will give Brainliest!
Answers
step by step explanation:
You got this I believe in you!!!
In AVWX, x = 5.7 inches, v = 4.5 inches and ZW=114°. Find the area of AVWX, to the
nearest 10th of a square inch.
Answers
Answer:
144 i think
Step-by-step explanation:
The State Department of Weights and Measures is responsible for making sure that commercial weighing and measuring devices, such as scales, are accurate so customers and businesses are not cheated. Periodically, employees of the department go to businesses and test their scales. For example, a dairy bottles milk in 1-gallon containers. Suppose that if the filling process is working correctly, the mean volume of all gallon containers is 1.00 gallon with a standard deviation equal to 0.10 gallon. The department's test process requires that they select a random sample of n = 9 containers. If the sample mean is less than 0.97 gallons, the department will fine the dairy. Based on this information, what is the probability that the dairy will get fined even when its filling process is working correctly?
A. 0.90
B. Approximately 0.3159
C. About 0.1841
D. Approximately 0.382
Answers
Answer:
B. Approximately 0.3159
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution, and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The mean volume of all gallon containers is 1.00 gallon with a standard deviation equal to 0.10 gallon.
This means that [tex]\mu = 1, \sigma = 0.1[/tex]
Sample of 9:
This means that [tex]n = 9, s = \frac{0.1}{\sqrt{9}}[/tex]
If the sample mean is less than 0.97 gallons, the department will fine the dairy. Based on this information, what is the probability that the dairy will get fined even when its filling process is working correctly?
This is the pvalue of Z when X = 0.97. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.97 - 1}{\frac{0.1}{\sqrt{9}}}[/tex]
[tex]Z = -0.9[/tex]
[tex]Z = -0.9[/tex] has a pvalue of 0.1841.
The correct answer is given by option B.
Answer:
Option C
Step-by-step explanation:
Given
Probability of Mean value less than 0.97
= Mean value -1/(0.1/sqrt (9))
Substituting the given values, we get -
Probability of Mean value less than 0.97
= 0.97 -1/(0.1/sqrt (9))
= 0.97-1/(0.1/3)
= 0.1841
Hence, option C is correct
Find The Value Of X.
Answers
Answer:
Tan 30 =, 14/x
Then x= 14/tan 30
So x=14 root 3
What polygon is shown below?
octagon
decagon
dodecagon
hexagon
Answers
(it has eight sides)
Answer:
octagon
Step-by-step explanation:
there is 8 sides in total :)
45600 cm to mL *
how do you convert that
Answers
Answer:
45600 cm = 45600 mL
Step-by-step explanation:
1 milliliter = 1 cubic centimeter
Bias matching? Need help pls
Answers
Help PLEASE!!!! Need help due Today!!!
Shelby has a $5 gift card to an online music store. She downloads songs that cost $1.20 each. What equation models the total amount of money Shelby spends y if she downloads x songs?
y = 5x + 1.20
y = 5x + 1.20
y = -5x + 1.20
y = -5x + 1.20
y = 1.20x - 5
y = 1.20x - 5
y = 1.20x + 5
Answers
There are 24 lightbulbs in a package. Let n represent the number of lightbulbs in p packages.
NO LINKS
Answers
24p = n
Let n = total of lightbulbs
Let p = number of packages
The required equation model for the condition of the number of lightbulbs in p packages is given as n = 24p.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
There are 24 lightbulbs in a package. Let n represent the number of lightbulbs in p packages.
So according to the question,
n = 24p
Thus, the required equation model the given equation is given as n = 24p.
Learn more about models here:
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HELPPPPP!!!!!!!!! PLS ! HURRY
Answers
Answer:
-2 and 4
Step-by-step explanation:
The zeros of a function are when the function equals 0.
To make (x+2)(x-4) be zero, either the x+2 term or the x-4 term need to be equal to zero. Because any number multiplied by 0 is 0.
So, set x+2=0 solve for x=-2
Set x-4=0 solve for x=4
Which value cannot represent the probability of an event occurring?
0.01
2
85
62.5%
1.1
Answers
Answer:
Your answer will be [tex]D/1.1[/tex].
Step-by-step explanation:
I did this on edge just a second ago and got it correct! Therefore, [tex]D/1.1[/tex] will be your final answer.
Mark me brainliest if you can when someone else answers. If not then it's alright! I'm happy that I helped you. Have a good day! :D
Answer:
1.1
Step-by-step explanation:
Factorize the algebraic expression:
10y²+13y-3
Answers
WHAT IS THE MEASURE OF ANGLE T NEED HELP
Answers
Help me please and thank you
Answers
Answer:
use formula
area =1/4*π*d^2
81π=1/4*π*d^2(here two pie gets cancel)
81=1/4*d^2
81*4=d^2
[tex]\sqrt{324}[/tex]=d
18=d
Step-by-step explanation:
is this function quadratic?
y+6x=14
Answers
Help me and show your work.
Answers
Answer:
Infinite solutions
Step-by-step explanation:
Equation 1:
4x-6y=4
3(4x-6y=4)
12x-18y=12
Equation 2
(12x-18y=12)/3
4x-6y=4
They are the same equation, therefore, there are infinite solutions
Answer my question about the photo
Answers
B
Explanation
Ray digs a garden plot that is 30 feet wide and 20 feet long. Bell takes a garden plot that is half as wide, but has the same length as Ray’s plot. How do the dimensions of an area of the two garden plots compare?