Answer:
First Option = No
\( \sf \frac{1}{ {x}^{ - 3} } = \frac{1}{ \frac{1}{ {x}^{3} } } = {x}^{3} \: ( \red{wrong})\)
Second Option = No
\( \sf - \sqrt[3]{x} = - {x}^{ \frac{1}{3} } \: ( \red{wrong})\)
Third Option = Yes
\( \sf {x}^{ - \frac{1}{3} } = \frac{1}{ {x}^{ \frac{1}{3} } } ( \green{true})\)
Fourth Option = Yes
\( \sf {x}^{ - \frac{1}{3} } =( \sqrt[3]{x} {)}^{ - 1} = \frac{1}{ \sqrt[3]{x} } ( \green{true})\)
Hope it helps!
Answer:
No, No, Yes, Yes
Step-by-step explanation:
I just took it EDGE2022
All equilateral triangles are congruent. State whether the statement is true or false
True
False
Answer:
TRUE
If a triangle has three congruent angles, it is be equiangular. Since congruent angles have congruent sides opposite them, all sides in an equiangular triangle will also be congruent. Therefore, every equiangular triangle is also equilateral
3 1/3 divided by 1 1/5
Answer:
25/9
Step-by-step explanation:
3 1/3 ÷ 1 1/5
3 1/3 = 10/3
1 1/5 = 6/5
10/3 ÷ 6/5 = 10/3 x 5/6 = 50/18 = 25/9
So, the answer is 25/9
I'll Give brainliest too! I need help with these.
This is not seeing me clearly so that's why I can't able to help u.
By which number 4704 must be divided so as to obtain a perfect square
Answer:
6 the last one
Step-by-step explanation:
4704/6=784
784 squared is 28
making it a perfect square unlike the rest which have excess numbers after the decimal
Answer:
6
Step-by-step explanation:
WHEN YOU DIVIDE 4704 BY 6 YOU GET 784
IN ORDER TO GE THE PERFECT SQUARE YOU HAVE TO FIND THE LCM O 4704
out of 42 students surveyed, 14 prefer to eat at Chipotle's. Select all the answers that
represent the students that prefer Chiptole out of the number surveyed.
The students that prefer Chipotle out of the number surveyed is 2/6 or 14:42 or 1 to 3.
Option C, D, E are the correct option.
What is the meaning of ratio?A ratio is an ordered pair of numbers a and b, denoted by the symbol a / b, where b does not equal zero. A proportion is an equation that sets two ratios equal to each other. For example, if there is one boy and three girls, the ratio could be written as 1: 3.
Given that the total number of students in the survey is 42.
14 students prefer to eat at Chipotles.
The ratio of students that prefer Chipotle to total number of students is
14:42
= 14/42
= 2/6 [Divide the denominator and numerator by 7]
= 1/3 [Divide the denominator and numerator by 2]
= 1:3
The ratio a:b means a objects out of b objects.
1:3 means 1 to 3.
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She visits 12 patients in 6 hours. At the same rate, how many patients will she visit in 9 hours?
Answer:
18 patients
Step-by-step explanation:
12/6=2
2x9=18
?! if you make $360 a week what is your yearly wage ?
Answer:
18,720
Step-by-step explanation:
there are approximately 52 weeks in a year
Answer:
$18,720
Step-by-step explanation:
6. Solve for y. 12y - 10 = 14y
02
0 5
O-5
O-2
Answer:
can you pls clear your questions?
Ullany TVd How much 20k stamps can #2.00 buy
Answer: 4000
Step-by-step explanation:
8. The first three terms of a geometric sequence are ( x-6), 3x, and y. If the common ratio is 6, then the value of y is.
Answer:
The value of y is 216
(and the value of x is 12)
Step-by-step explanation:
The general formula for a geometric sequence is,
\(a_n = a_1(r)^{n-1}\)
Where n represents the nth term, a_1 is the first term and r is the common ratio,
we see that,
r = 6,
the first term is,
a_1 = (x-6)
the 2nd term is,
a_2 = 3x,
the 3rd term is,
a_3 = y, finding y,
first we find x, using the above given formula we have,
\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)
x = 12,
Now, for y we can use the relation between a_3 and a_2,
\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)
y = 216
What is the mean rainfall for the highland storms
Answer:
12.5 mm
What is the mean rainfall for the highland storms
Step-by-step explanation: since i helped can i have brainlist please :D
Answer:
12.5mm
Step-by-step explanation:
12.5mm sorry if this is wrong
Plssssssssssssssssssssssssssssssssssssssssssssssss
Step-by-step explanation:
Total weight of all 3 books = 2 7/16 + 1 7/8 + 1/2
Finding the common denominator,
2 7/16 = 39/16
1 7/8 = 15/8 = 30/16
1/2 = 8/16
Total = 39/16 + 30/16 + 8/16
= 77/16 = 4 13/16 pounds = 5 pounds
Total is less than 6 pounds. So, Gina can ship all 3 books.
A diphosphonate kit contian 180 mCi of Tc99m in 30 ml when it is prepared at 8am. Immediately, a 20 mCi dose is withdrawn for a bone scan. if the patient arrives late at 9:30 and half the volume is accidentally discharged, how much volume from the kit must now be added to the syringe to correct the dose to 20 mCi? (no other doses have been withdrawn meanwhile, and the decay factor for 1.5 hrs is 0.841)
The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = Initial activity * Decay factor
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = Initial activity - 20 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = Remaining activity * Decay factor
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30
Calculate the remaining volume at 9:30:
Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume
Let's perform the calculations step by step:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = 180 mCi * 0.841 = 151.38 mCi
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = 180 mCi - 20 mCi = 160 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30
Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml
Calculate the remaining volume at 9:30:
Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml
Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
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An airline uses many different types of airplanes. The table below shows some of the attributes of the different airplanes.What are the individuals in the data set?
there is no table to get our answers off of.
Step-by-step explanation:
What is an algebraic expression for "40 more than b?
Answer:
40 + b
Step-by-step explanation:
40 more than b = 40 + b
Need help ASAP PLEASE!!!!!!!!!!!!!!!
Answer:
Quartz, Cups
Step-by-step explanation:
1 gallon = 16 cups
1 quartz = 4 cups
1 pint = 2 cups
1 fluid ounce = 1/8 cups
2x^5-3^4+12x^3-2 classify polynomial
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
The probability that a student had blue eyes and wore glasses is 4% or 0.04.
B. The probability that a student's eye color is brown given that the student wears glasses is 42.9% or 0.429.
What is the probability?To find the probability of blue-eyed glasses-wearers, when you look where "Blue" intersects "Yes" in the table. The relative frequency is 0.04, or 4%, hence the probability of a student having blue eyes and wearing glasses 4%.
To find the probability that a student's eye color is brown since the fact is: that the student wears glasses, it can be calculated as:
P(A|B) = P(A and B)/P(B)
P(Brown and Yes) = 0.12
P(Yes) = 0.04 + 0.12 + 0.08 + 0.04
= 0.28
Hence, the probability that a student's eye color is brown since they wear glasses are:
P(Brown | Yes) = P(Brown and Yes) / P(Yes)
= 0.12 / 0.28
= 0.429 or 42.9%
So we can say that, Blank 1 is "0.04" while Blank 2 is "42.9%".
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See text below
Eye Color
Question 15 (2 points)
A high school class conducts a survey where students are asked about their eye color and whether or not they wear glasses. The two-way table below shows the results of the survey as relative frequencies.
Glasses?
Yes No
Blue 0.04 0.16
Brown 0.12 0.24
Green 0.08 0.12
Hazel 0.04 0.20
A. Based on thee results of the survey, what is the probability, rounded to the nearest tenth, that a student had blue eyes and wore glasses?
B. Based on the results of the survey, what is the probability, rounded to the nearest tenth, that a student's eye color is brown given that the student wears glasses?
Word Bank:
8% 4% 16% 20% 42.9%
24% 12%
Blank 1:
Blank 2:
4x + 11y = 7
4x + 3y = -1
Answer:
x= - 1
y= 1
Step-by-step explanation:
qwertyuiopsknzvzbjzjjs
Four less than the product of 2 and a number equals 3 as an equation
Answer:
4-2x=3
Step-by-step explanation:
Geometric mean assignment
the solutions to the equation \(2x^2 - x - 3 = 0\) are x = 1.5 or x = -0.5.
The square root of 25 can be expressed simply as 5:
x = (1 ± 5) / 4
This provides us with two potential answers:
x = (1 + 5) / 4 = 1.5
or
x = (1 - 5) / 4 = -0.5
The square root of a negative number is not a real number, so this equation does not have a real solution using geometric mean.
what is mean?By dividing the sum of the given numbers by the entire number of numbers, the mean—the average of the given numbers—is determined.
Based on the provided data set, the fundamental formula to determine the mean is calculated. When calculating the mean, every term in the data set is taken into account. The ratio between the total number of terms and the sum of all the terms provides the general formula for the mean. Hence, we may state;
Mean is equal to the product of the given data and the total amount of data.
from the question:
The following formula can be used to find x using geometric mean:
\(x = \sqrt{(ab)}\)
where a and b are the two numbers whose geometric means we're interested in finding.
The two roots of the quadratic equation \(ax^2 + bx + c = 0\) in standard form can be used here as a and b. Applying the previous solutions, we obtain:
\(x = \sqrt{(1.5 (-0.5)}\)
\(x = \sqrt{(-0.75)}\)
As the square root of a negative number is not a real number, the geometric mean method cannot find a real solution to this problem.
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Here, lots of questions are asking.
Define the term Geometry?The study of shapes, sizes, locations, and qualities of objects in space is referred to as geometry. It covers the examination of points, lines, angles, planes, and solid figures as well as their interrelationships. In areas including architecture, engineering, physics, and computer graphics, among others, geometry is used in real-world settings. It is frequently taught to kids starting at a young age and is a crucial component of mathematics education.
Euclidean geometry: This is the most common type of geometry that deals with the properties of objects in two and three-dimensional space, such as lines, angles, triangles, circles, and solid shapes.Non-Euclidean geometry: This type of geometry is based on different sets of axioms or assumptions than Euclidean geometry. It includes hyperbolic geometry and elliptic geometry, which have different properties than Euclidean geometry.Analytic geometry: This type of geometry uses algebraic methods to study geometric shapes and their properties. It involves the use of coordinates and equations to represent geometric objects.To know more about geometry, visit:
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12=x÷8
I need help please
Answer:
x=96
Step-by-step explanation:
The multiplicative inverse of – 1 in the set {-1,1}is
Answer: The multiplicative inverse of – 1 in the set {-1,1} is -1.
Step-by-step explanation:
In algebra, the multiplicative inverse of a number(x) is a number (say y) such that
\(x\times y=1\) [product of a number and its inverse =1]
if x= -1, then
\(-1\times y=1\Rightarrow\ y=-1\)
That means , the multiplicative inverse of -1 is -1 itself.
Hence, the multiplicative inverse of – 1 in the set {-1,1} is -1.
could someone help me with this math problem? thanks a lot if you do (:
We will have the following:
First, we determine the slope of the linear relationship:
\(m=\frac{320-380}{2.75-2.5}\Rightarrow m=-240\)a) Now, using this information and one point (2.50, 380) we will replace in the general equation for a linear function, that is:
\(\begin{gathered} N(p)-y_1=m(p-x_1)\Rightarrow N(p)-380=-240(p-2.5) \\ \\ \Rightarrow N(p)-380=-240p+600 \\ \\ \Rightarrow N(p)=-240p+980 \end{gathered}\)So, the equation is:
\(N(p)=-240p+980\)b) We determine the revenue function as follows:
\(\begin{gathered} R(p)=pN(p)\Rightarrow R(p)=p(-240p+980) \\ \\ \Rightarrow R(p)=-240p^2+980p \end{gathered}\)So, the equation of revenue is:
\(R(p)=-240p^2+980p\)c) We determine the critical points of the revenue:
\(\begin{gathered} R^{\prime}(p)=-480p+980=0\Rightarrow480p=980 \\ \\ \Rightarrow p=\frac{49}{24}\Rightarrow p\approx2.04 \end{gathered}\)So, the price that maximizes revenue is approximately $2.04.
The maximum revenue will be:
\(\begin{gathered} R(2.04)=-240(2.04)^2+980(2.04)\Rightarrow R(2.04)=1000.416... \\ \\ \Rightarrow R(2.04)\approx1000.42 \end{gathered}\)So, the maximum revenue is approximately $1000.42.
At a store 32% of the weekly sales were made on Saturday. Which fraction is equal to this percentage
Answer:
8/25
Step-by-step explanation:
32% as a decimal is 0.32. 0.32 as a fraction is 8/25, becuase if you divide 8 by 25, you get 0.32.
John bought a recliner priced at $500, which was financed for $30 a month for 24 months. What is the total
cost for the recliner? How much is the finance charge?
Answer:
$720 total cost $220 finance
Step-by-step explanation:
30x 24= $720 total. 720-500= $220 is the finance charge.
:) hope this helped.
The total cost of the recliner is $720 thus the finance charge will be $220.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.
Multiplication = to multiply any two or more numbers or variables called multiplication.
Summation = addition of two or more numbers or variable
As per the given,
Price of recliner = $500
Financed for $30 for 24 months
Total cost = 30 x 24 = $720
Finance charge = $720 - $500 = $220
Hence "The total cost of the recliner is $720 thus the finance charge will be $220".
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11. The length of a room is 21 feet. If a floor plan has a scale of 1 inch = 4 feet, then the length of the room on a floor plan is 5.25 inches.
True
False
Answer:
True
Step-by-step explanation:
divide 21 feet by 4 feet to convert to inches, that is
21 feet ÷ 4 feet = 21 ÷ 4 = 5.25 inches
Draw a modle and write to represent 4 times as many as 3 is 12.
Draw a model and write to represent 4 times as many as 3 is 12.
The required equation is 4×3=12 and the required model is shown in figure.
The model for the provided question is shown in the figure, where there are 3 rows and 4 blocks in a row we get 12 blocks total.
Consider the provided information.
We need to draw a model and write an equation to represent 4 times as many as 3 is 12.
4 times as many as 3 can be written as:
4×3
This expression is equal to 12. Thus the combined equation is:
4×3=12
Therefore, the equation represents 4×3=12.
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Cómo despejar an
Sn= (a1 + an)/2 n
Step-by-step explanation:
The formula:
�
�
=
�
2
(
�
1
+
�
�
)
S
n
=
2
n
(a
1
+a
n
)
is used to solve for the sum of the arithmetic sequence given the first term a₁, the number of terms n, and the last term in an.
Example:
3, 6, 9, 12, 15,...,123
The first term, a₁ = 3
The last term an = 123
Common difference, d = 3 (because the sequence are multiples of 3)
Number of terms, n= ?
Find the number of terms, n:
an = a₁ + (n-1) (d)
123 = 3 + (n-1) (3)
123 = 3 - 3 + 3n
123/3 = 3n/3
n = 41
To find the sum of the given sequence without adding 3 + 6 + 9, ... + 123, we use the formula:
S₄₁ = (41/2) (3 + 123)
S₄₁ = (41/2) (126)
S₄₁ = (41)(63)
S₄₁ = 2,583 ⇒ the sum of the given sequence
The vertices of a feasible region are (1,2) (7,3) (5,1). What is the minimum value of the function P=x-2y
The minimum value of the function P over the feasible region is -3, which occurs at the point (1,2).
What is a function?The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.
To find the minimum value of the function P = x - 2y over the feasible region determined by the vertices (1,2), (7,3), and (5,1), we need to evaluate the function at each of these points and find the lowest value.
P(1,2) = 1 - 2(2) = -3
P(7,3) = 7 - 2(3) = 1
P(5,1) = 5 - 2(1) = 3
Therefore, the minimum value of the function P over the feasible region is -3, which occurs at the point (1,2).
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