Simplify 3 - (2 - 8).
The volume of 10,000 drops of a liquid is 1 fluid ounce.
What is the volume of 10
drops?
Lori rented a car for one day. The daily rental rate was $12.50 plus 25 cents per mile. The total cost of her rental was $46. How many miles did she drive that day?
The length of a spring is a linear function of the weight of the object compressing it. For a particular spring, the length decreases by 1.5 inches for every 3 pounds pressing down on it. When 4 pounds are on the spring, the length of the spring is 8 inches long. What is the length of the spring if 15 pounds are pressing down on the spring?
2/3 (5 x 4) ÷ 3 + 6/7 I divided 3/2 is 1.5*(20)=30/3=10+1.16=11.16 is that correct not so good in math
2/3 (5 × 4) ÷ 3 + 6/7 = 334/63
Further explanationOrder of Operations in Mathematics follow this following rule :
ParenthesesExponentsMultiplication and DivisionAddition and SubtractionThis rule is known as the PEMDAS method.
In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.
Let us tackle the problem.
Let's write down the problem that is wanted to be solved:
[tex]\frac{2}{3} ( 5 \times 4 ) \div 3 + \frac{6}{7}[/tex]
[tex]\frac{2}{3} ( 20 ) \div 3 + \frac{6}{7}[/tex] → Parentheses First
[tex]\frac{40}{3} \div 3 + \frac{6}{7}[/tex] → Multiplication
[tex]\frac{40}{9} + \frac{6}{7}[/tex] → Division
[tex]\frac{280}{63} + \frac{54}{63}[/tex] → Match the denominator of the fraction
[tex]\frac{334}{63}[/tex] → Final Answer
From the results above, it can be concluded that the results of this operation 2/3 (5 × 4) ÷ 3 + 6/7 is 334/63
Learn moreInfinite Number of Solutions : https://brainly.com/question/5450548System of Equations : https://brainly.com/question/1995493System of Linear equations : https://brainly.com/question/3291576Answer detailsGrade: Middle School
Subject: Mathematics
Chapter: Order of Operations
Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS
A map has a scale of 1 in. 4 mi. You measure 3 inches between your house and the movie theatre. How many miles is it from your house to the Movie Theatre
Answer: x = 12
Step-by-step explanation:
1/3 = 4/x
1x = 12
X = 12
Choose the polynomial that is written in standard form. 2x3y2 + 4x4y + 8x7 −3x4y2 + 4x4y5 + 10x2 6xy2 + 4x3y8 + 9x2 −2x5y3 + 4x2y2 + x2
Evaluate the line integral where f(x,y,z)=3sin(x)i−(cos(y))j−5xzk and c is given by the vector function r(t)=t5i−t4j+t3kr(t)=t5i−t4j+t3k , 0≤t≤10≤t≤1.
What are the zeros of f(x)=4x^3-13x^2-37x+10
can someone please explain proportions?
If f(x) = 5x – 6, what is the equation for f–1(x)?
Answer:
5x-2+^3 hole
Step-by-step explanation:
The inverse of f(X) = (x +6 ) /5
What is inverse function?The inverse of a function f is denoted by f^-1 and it exists only when f is both one-one and onto function. Note that f^-1 is NOT the reciprocal of f. The composition of the function f and the reciprocal function f-1 gives the domain value of x.
(f o f^-1) (x) = (f^-1 o f) (x) = x
Steps To Find An Inverse FunctionThe following sequence of steps would help in conveniently finding the inverse of a function. Here we consider a function f(x) = ax + b, and aim at finding the inverse of this function through the following steps.
For the given function f(x) = ax + b, replace f(x) = y, to obtain y = ax + b.Interchange the x with y and the y with x in the function y = ax + b to obtain x = ay + b.Here solve the expression x = ay + b for y. And we obtain y = (x - b/aFinally replace y = f^-1(x), and we have f^-1(x) = (x - b)/a.Given:
f(x) = 5x – 6
let y= f(x) = 5x – 6
Now, Interchange the x with y and the y with x.
x= 5y -6
x+6 = 5y
y = (x +6 ) /5
So, f^-1(x) = (x +6 ) /5
Learn more about inverse of function here:
https://brainly.com/question/2541698
#SPJ5
The answers 80kg, 88 divided by 110 then times by 100
The student is completing a two-step mathematical operation to find a percentage by dividing 88 by 110 and then multiplying the result by 100. The '80kg' mention seems to be unrelated. Without more context, it's difficult to relate this to the given references, though they involve calculations and conversions in physics.
Explanation:The student seems to be performing a two-step operation where they are first dividing 88 by 110 and then multiplying it by 100. This is a common way of finding percentages. To get the result first, divide 88 by 110 which equals 0.8. Secondly, multiply 0.8 by 100 to get 80%. The '80kg' seems irrelevant to this operation if no further context is provided, it could be a weight measurement in physics.
In terms of any associations with the provided references, it seems that the question might be related to converting some measurements or calculating kinetic energy ('K'). However, without additional information, it's hard to ascertain the exact nature of the task.
Learn more about percentage calculation here:https://brainly.com/question/32197511
#SPJ12
The product of (n^2-6n+3)and -4 is
EASY 5 POINTS!!! You have a new pool and want to know its volume. The pool is 5 feet deep and has a radius of 7 feet. About how much water can the pool hold? Use 3.14 for pi.
Answer:
The volume of water that can be hold by the pool is approximately 770 cubic feet.
Step-by-step explanation:
To calculate it we have to use the volume formula for a cylinder. This is:
[tex]Volume=pi*r^{2}*h\\pi=3.14\\r=radius\\h=deep[/tex]
Solving the equation with the given values:
[tex]Volume=3.14*7^{2} *5\\Volume=769.3 cubic feet \\Aprox.Volume= 770 cubic feet[/tex]
The volume of water that can be hold by the pool is approximately 770 cubic feet.
How would you use the Fundamental Theorem of Calculus to determine the value(s) of b if the area under the graph g(x)=4x between x=1 and x=b is equal to 240?
Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 – x = 25
5.52, –4.52
is the correct answer,never forget negatives!
the sum of two numbers is 8 and their difference is 2. find the numbers
Armando has a baseball card that is worth $45. The value of the card is increasing at a rate of 1.5% per year. How much will the card be worth in 15 years?
You and two friends (Adam and Alana) will only play a game if it is fair for all three of you. The game your friend has proposed is to roll two number cubes (numbered 1-6) and find the sum. If the sum. If the sum is from 1-4 you get the point, 5-8 Adam gets the point, and 9-12 Alana gets the point.
Yes, the game was fair and no one had a better advantage.
Answer:
yes!
Step-by-step explanation:
no one had a better advantage.everyone had the same amount of advantage.
Write a function rule for the table. (2, $16.00), (4, $32.00), (6, $48.00), (8, $64.00)
The number of bagels sold daily for two bakeries is shown in the table. Bakery A Bakery B 53 34 52 40 50 36 48 38 53 41 47 44 55 40 51 39 Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Why? Select the correct answer below.
Considering the information about the asymmetry in Bakery B's distribution, the median would be a more appropriate measure of central tendency for both Bakery A and B. It would provide a better representation of the "typical" number of cupcakes sold in each bakery, even if there might be outliers in the data.
Understanding Mean and Median:
Mean: The mean, also known as the average, is calculated by adding all the values in a dataset and dividing by the number of values. It's a good measure of central tendency when the data is symmetrical and free from outliers.Median: The median is the 'middle' value when the data is ordered from least to greatest. It's less sensitive to extreme values (outliers) compared to the mean.Why Median is More Appropriate (Considering the Information):
The information mentions that the distribution for Bakery B is not symmetric. This suggests that the data points in Bakery B might be skewed towards one side, with a few possibly higher or lower values compared to the majority.
Reasoning:
Option A (Mean): The mean is easily influenced by outliers. If Bakery B has outliers, the mean might not accurately represent the "typical" number of cupcakes sold for Bakery B.Option B (Mean for Perfect Symmetry): This option specifies the mean if the distributions are perfectly symmetrical. Since we know Bakery B's distribution isn't symmetrical, the mean wouldn't be the best choice.Option C (Median for Bakery B Asymmetry): This correctly identifies that the median is a better choice for Bakery B due to the asymmetry in its data.Option D (Median for Outliers): While outliers can be present in both Bakery A and B, the key factor is the asymmetry in Bakery B's distribution. The median is generally more resistant to the influence of outliers, making it a better choice in this case, even if outliers exist in both datasets.complete question:
The number of bagels sold daily for two bakeries is shown in the following table: Uchange Bakery A Bakery B 53 34 52 40 50 36 48 38 53 41 47 44 55 40 51 39 Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Why? Select the correct answer below. (3 points)
a. Mean, because there are no outliers to affect the data
b. Mean, because the distribution is perfectly symmetric for both bakeries
c. Median, because the distribution for Bakery B is not symmetric
d. Median, because there are outliers that affect both data sets
making use of Archimedes’s Principle, displacements, and buoyancy, explain why some objects float on water, but others do not.
Answer:
If the weight is equal to the buoyant force, it will float. The same is true for if the weight is less than the buoyant force. However, if the weight is greater than the buoyant force, it will sink.
Given line L = ax + by + c = 0, b(its suppose to be the equal sign with the slash going thru it) 0
What is the slope of this function?
-a/b
a/b
b/a
A 20-year, $148,000 mortgage is taken out with a 4.9% APR. If payments are scheduled monthly and there are no additional costs, determine the balance on the account after the first month's payment has been made.
Is this less than
Greater than
Or equal too?
if f(x)=x-3/x, g(x)=x+3, and h(x)=2x+1, what is (g*h*f)(x).
A. 3x-6/x
B. 6x-6/x
C. 2x+4/2x+7
D. 4x-3/x
Answer:
Option B - 6x-6/x
Step-by-step explanation:
Given : If [tex]f(x)=\frac{x-3}{x}, g(x)=x+3,h(x)=2x+1[/tex].
To find : What is the value of [tex](g(h(f)))(x)[/tex]
Solution :
[tex](g(h(f)))(x)=g(h(f(x)))[/tex]
i.e, substitute the value of f(x) in h(x) and then put that h(x) in g(x).
[tex]g(h(f(x)))=g(h(\frac{x-3}{x}))[/tex]
[tex]g(h(f(x)))=g(2(\frac{x-3}{x})+1)[/tex]
[tex]g(h(f(x)))=(2(\frac{x-3}{x})+1)+3[/tex]
Solving the RHS,
[tex]=(2(\frac{x-3}{x})+1)+3[/tex]
[tex]=(\frac{2x-6}{x})+1)+3[/tex]
[tex]=(\frac{2x-6+x}{x})+3[/tex]
[tex]=\frac{3x-6}{x}+3[/tex]
[tex]=\frac{3x-6+3x}{x}[/tex]
[tex]=\frac{6x-6}{x}[/tex]
Therefore, The value of [tex](g(h(f)))(x)=\frac{6x-6}{x}[/tex]
Hence, Option B is correct.
G for exercises 13 and 14, assume the sample populations do not have equal standard deviations and use the .05 significance level: (a) determine the number of degrees of freedom, (b) state the decision rule, (c) compute the value of the test statistic, and (d) state your decision about the null hypothesis.
A 5-foot ladder is leaning against a 4-foot wall. How far must the bottom of the ladder be from the base of the wall so that the top of the ladder rests on the top of the wall?
An open rectangular box has volume 32 cm3. find the lengths of the edges giving the minimum surface area
An open rectangular box with a volume of 32 cm³ would have its minimum surface area when it takes the form of a cube. In this case, each side of the box would be approximately 3.174 cm.
Explanation:To minimize the surface area of an open rectangular box given a constant volume, the box should take the shape of a cube. This is because a cube is the three-dimensional shape that has the minimum surface area for a given volume. The volume V of the box is given as 32 cm³. Since for a cube, the volume V = a³ where a is the side length of the cube, we need to find the value of a such that the volume is equal to 32cm³.
To do this, we use the cube root function as follows: a = ∛V = ∛32 = 3.174 cm.
So, for a rectangular box with a volume of 32 cm³, the lengths of the edges that would give the minimum surface area would all be approximately 3.174 cm.
Learn more about Minimum Surface Area here:https://brainly.com/question/32318252
#SPJ11
An open rectangular box with a volume of 32 cm³ would have its minimum surface area when it takes the form of a cube.
In this case, each side of the box would be approximately 3.174 cm.
To minimize the surface area of an open rectangular box given a constant volume, the box should take the shape of a cube.
This is because a cube is the 3-dimensional shape that has the minimum surface area for a given volume.
The volume V of the box is given as 32 cm³.
Since for a cube, the volume V = a³ where a is the side length of the cube, we need to find the value of a such that the volume is equal to 32cm³.
To do this, we use the cube root function as follows:
a = ∛V
= ∛32
= 3.174 cm.
So, for a rectangular box with a volume of 32 cm³, the lengths of the edges that would give the minimum surface area would all be approximately 3.174 cm.
In the x -y plane, the line 3x + 2y =72 intersects the x -axis at x=b,for some number b. What is the value of b?
Since it is specifically stated that the line intersects the x-axis, then this means that y = 0. Therefore substituting y = 0 into the given equation will us the value of x.
Substituting y = 0:
3 x + 2 * 0 = 72
3 x = 72
x = 24
Therefore this means that the line intersect the x-axis at point (24, 0).