Answer:
15.6\(m^{2}\)
Step-by-step explanation:
Area is base times height for a rectangle (which this is because it has 90 degree angles + 4 sides) so we do:
3 x 5.2 = 15.6
Answer:
15.6
Step-by-step explanation:
you multiply 3 by 5.2. to make it simple multiply 3 by 5 the answer should be 15 now multiply .2 by 3 it should be .6 then add 15 and .6 together this should equal 15.6
Solution: The set of all elements in the universal set that is not in set A is called the complement of set A.
The complement of set A, denoted by ​ A`, is the collection of all elements that belong to the universal set but are not part of set A. It's not necessary to mention the universe (also known as U) if it's understood which set of elements is being referred to.
The complement of a set A is the collection of all elements that belong to the universal set but not to set A. It is denoted as ​ A` and does not include any elements that are already in set A. The universal set, also known as U, contains all possible elements and is assumed to be known. Therefore, when referring to the complement of a set, it is not necessary to mention the universal set explicitly. The complement of a set is useful in determining the set of elements that are not part of a particular set, and it can be used in various mathematical operations.
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24 There were 20 people that went to the movies. Some were adults and some were children. Admission for adults is $9. Admission for children is $6. A total of $144 was spent. If needed, the equations can be graphed below to assist in finding a solution. Total People: x+y=20 Children A B Total Paid: 9x+6y= 144 Adults and Children at the Movies y ↑ 40 36 32 28 8496284 24 20 16 12 0 2 4 6 8 10 12 14 16 18 20 Adults KEY Which of the following indicates the number of adults and children who went to the movies? 16 adults and 4 children C 5 adults and 15 children D 15 adults and 5 children 4 adults and 16 children -Total Paid ($144) Total People 8 adults and 12 children
After answering the presented question, we can conclude that equation Therefore, the answer is: 8 adults and 12 children went to the movies.
What is equation?An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. In the equation "x2 + 2x - 3 = 0," for example, the variable x is raised to the second power. Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.
system of equations -
\(x + y = 20 \\9x + 6y = 144 \\x = 20 - y\\9(20 - y) + 6y = 144\\180 - 3y = 144\\-3y = -36\\y = 12\\x + 12 = 20\\x = 8\\\)
So there were 8 adults who went to the movies.
Therefore, the answer is: 8 adults and 12 children went to the movies.
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What condition has no solution?
A condition that is impossible to satisfy has no solution.
Mathematics can be a powerful tool for solving many problems, but there are some issues that can't be solved.
In particular, any condition that is impossible to satisfy, such as the logical statement ‘this statement is false’, has no solution in mathematics. This is because the statement can’t be proven true or false, and so it can’t be solved.
An unsolvable condition is one that cannot be solved using any combination of logical and mathematical steps.
This means that no matter how much time and effort is put in, a solution to the problem cannot be discovered.
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How to convert .1515 which is a repeating nonterminating decimal to a fraction.
Converting .1515 which is a repeating nonterminating decimal to a fraction is: 5/33.
Converting from decimal to fractionGiven:
Decimal =0.1515
Let x represent the repeating and nonterminating number
In order to get the same recurring decimal we would need to multiply the number by either 10, 100 or 1000.
Hence,
x=0.1515 equation 1
100z=0.1515 equation 2
Deduct equation 1 from equation 2
100x − x = 15.151- 0.1515
100x − x = (15 + 0.1515) − 0.1515
(100 − 1) x = 15 + 0
99 x = 15
Divide both side by 99x
x=15/99
Divide the numerator which is 15 and the denominator which is 99 by 3
x= 5/33
Therefore converting .1515 which is a repeating nonterminating decimal to a fraction is: 5/33.
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You notice that when you study for a test more, you get better grades. What does this illustrate?
Answer:
Causation
Step-by-step explanation:
Studying better prepares you for a test, getting you better grades.
Answer:
causation
Step-by-step explanation:
hope this helps
Marilyn is buying a birthday present for her son from his favorite store. She has a $25 store credit that will help cover the cost of his gift. Marilyn wants to spend less than $31 after applying the store credit. If p represents the cost of the present, then this situation can be modeled by the inequality,
p - 25 < 31
Which value could be a possible cost for the present and a solution to Marilyn’s inequality?
57
58
56
55
Answer: 55
Step-by-step explanation: 55 - 25 = 30
just subtract all the answers by 25 and try to find something lower then 31
(-12a^3b^5)/(4a^2b^7)
state any restrictions on the variable(s) if they exist.
PLEASE HELP (30 points)
Answer:
\(a\neq 0 \text{ and } b\neq 0\)
Step-by-step explanation:
So we have the rational expression:
\(\frac{-12a^3b^5}{4a^2b^7}\)
In rational expressions, the restrictions of the expression would be the zeros of the denominator Therefore, set the denominator equal to zero and solve for its zeros:
\(4a^2b^7=0\)
Zero Product Property:
\(4a^2=0\text{ or } b^7=0\\\)
Solve for a and b:
\(4a^2=0 \text{ or } b^7=0\\a\neq 0 \text{ or }b\neq 0\)
Therefore, the restrictions on the variables are that a and b cannot equal zero.
Find
÷
.
Input your answer as a reduced fraction.
The division of 14 by 29 will gives 14/29 in reduced fractions
How can we interpret the division?
When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the number is divided.
WE need to divide the number 14 by 29 to find the fraction form first.
14 divided by 29 means 14 ÷ 29
Therefore, 14/29 in reduced fractions
14/29 = 0.482758620 in decimal
Hence, The division of 14 by 29 will gives 14/29 in reduced fractions
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The complete question is;
Find 14 divided by 29. Input your answer as a reduced fraction.
se necesita derivar Y= 3x
Answer:
3
Step-by-step explanation:
Select all the correct answers,
Which relations represent functions?
Answer:
A and C are the correct answer
Step-by-step explanation:
Determine if the triangles, ΔUVW and ΔBAC, are similar. If so, identify the similarity criterion.
A) AA similarity
B) SAS similarity
C) SSS similarity
D) not similar
Answer:
B). SAS similarity.
Step-by-step explanation:
In Δ WVU & ΔCAB,
UV/CA = 17/34 = 1/2
&
VW/AB = 14/28 = 1/2
∵ UV/CA = VW/AB = 1/2
& ∠V = ∠A (Given)
∵ ΔWVU ≅ ΔCAB (by SAS similarity)
A researcher would like to study the amount of mercury in trout that live in different water conditions. How could theresearcher divide the population of trout before taking a sample from each population for more accurate results?-river trout, stream trout: lake trout, ocean trout-all trout east of the Mississippi: all trout west of the Mississippi-trout larger than three inches trout smaller than three inches-trout with suspected mercury, trout without suspected mercury
Since our obsevation is the find out the amount of mercury in different water condition, it'll be best observed in river trout, stream trout; lake trout, ocean trout.
I need some help, this is a trig question and I have no idea how to even start it.
Answer:
Set your calculator to Degree mode.
\( \alpha = {cos}^{ - 1} \frac{7}{8} \)
\( \cos(2 \alpha ) = \frac{7}{x} \)
\( \cos(2 {cos}^{ - 1} \frac{7}{8} ) = 2 {cos}^{2} ( {cos}^{ - 1} \frac{7}{8} ) - 1 = \frac{7}{x} \)
\(2( { \frac{7}{8}) }^{2} - 1 = \frac{7}{x} \)
\( \frac{17}{32} = \frac{7}{x} \)
\(17x = 224\)
\(x = \frac{224}{17} = 13.176\)
\( \alpha = {cos}^{ - 1} \frac{7}{8} = 28.955 \: degrees\)
So x = 224/17 = 13.176 and theta = 28.955°.
Suppose you deposited $300 in a savings account 21 months ago. The simple interest rate is 3.0% . The interest that you earned in those 21 months is $15.75. Which of the following is/are true?
A. p=300
B. t=3.0%
C. I=15.75
D. R=1 3/4
Answer:
p=300 and l=15.75
Step-by-step explanation:
1/2 divided by (-3) please help
Answer:
-1/6
Step-by-step explanation:
apply fraction rule to get 1/2(-3)
Multiply the numbers to get 1/-6
apply fraction rule to move negative to make
-1/6
1/2 divided by (-3) = -1/6 or -0.1666666667.
A person who is 6.1 feet tall is standing in a pool. The top of the person's head is 1.8 feet above the surface of the water. How deep is the pool? Write your answer as a decimal.
symbols of a set. Jow many symbols have a set.
You never gave any. I will explain what they are though.
A set is a collection of things, usually numbers. We can list each element (or "member") of a set inside curly brackets like this:
Here is a list of common symbols used in the set theory
Symbol Meaning Example
{ } Set: a collection of elements {1, 2, 3, 4}
A ∪ B Union: in A or B (or both) C ∪ D = {1, 2, 3, 4, 5}
A ∩ B Intersection: in both A and B C ∩ D = {3, 4}
A ⊆ B Subset: every element of A is in B. {3, 4, 5} ⊆ D
A ⊂ B Proper Subset: every element of A is in B,
but B has more elements. {3, 5} ⊂ D
A ⊄ B Not a Subset: A is not a subset of B {1, 6} ⊄ C
A ⊇ B Superset: A has same elements as B, or more {1, 2, 3} ⊇ {1, 2, 3}
A ⊃ B Proper Superset: A has B's elements and more {1, 2, 3, 4} ⊃ {1, 2, 3}
A ⊅ B Not a Superset: A is not a superset of B {1, 2, 6} ⊅ {1, 9}
Ac Complement: elements not in A Dc = {1, 2, 6, 7}
When set universal = {1, 2, 3, 4, 5, 6, 7}
A − B Difference: in A but not in B {1, 2, 3, 4} − {3, 4} = {1, 2}
a ∈ A Element of: a is in A 3 ∈ {1, 2, 3, 4}
b ∉ A Not element of: b is not in A 6 ∉ {1, 2, 3, 4}
Ø Empty set = {} {1, 2} ∩ {3, 4} = Ø
set universal Universal Set: set of all possible values
(in the area of interest)
P(A) Power Set: all subsets of A P({1, 2}) = { {}, {1}, {2}, {1, 2} }
A = B Equality: both sets have the same members {3, 4, 5} = {5, 3, 4}
A×B Cartesian Product
(set of ordered pairs from A and B) {1, 2} × {3, 4}
= {(1, 3), (1, 4), (2, 3), (2, 4)}
|A| Cardinality: the number of elements of set A |{3, 4}| = 2
| Such that { n | n > 0 } = {1, 2, 3,...}
: Such that { n : n > 0 } = {1, 2, 3,...}
∀ For All ∀x>1, x2>x
For all x greater than 1
x-squared is greater than x
∃ There Exists ∃ x | x2>x
There exists x such that
x-squared is greater than x
∴ Therefore a=b ∴ b=a
Natural Numbers Natural Numbers {1, 2, 3,...} or {0, 1, 2, 3,...}
Integers Integers {..., −3, −2, −1, 0, 1, 2, 3, ...}
Rational Numbers Rational Numbers
Algebraic Numbers Algebraic Numbers
Real Numbers Real Numbers
Imaginary Numbers Imaginary Numbers 3i
Complex Numbers Complex Numbers 2 + 5i
What is the simplified value of the expression below?
Negative 2.6 + 5.8
Answer:
3.2
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLIEST Complete the frequency table: Method of Travel to School Walk/Bike Bus Car Row totals Under age 15 60 165 Age 15 and above 65 195 Column totals 152 110 98 360 What percentage of students under age 15 travel to school by car? Round to the nearest whole percent. 11% 18% 41% 80%
Answer:
11%
Step-by-step explanation:
1. Fill out the table with the correct numbers.
2. After you fillout the numbers, you should notice that under the column car and in the first row, there should be the number 18.
3. We know the total number of students under the age of 15 is 165.
4. To find the percent:
18/165 * 100
= 11%
Answer:
41%
Step-by-step explanation:
Look at the column "Age 15 and above".
Notice how the row total for that column is 195.
Also, look at "Bus".
Notice how there is a gap between 60 and 110.
To calculate the answer, you need to fill in the blanks using the surrounding numbers.
60 + 50 = 110, so to the right of "65" on "Age 15 and above", there should be a 50.
The "195" at the end of the row is now on the same row as the numbers: 65, 50, and a blank spot.
Now, all we have to do is simply ask ourselves what 65 + 50 gets us, and what we need to add to that to get 195.
65 + 50 = 115, 115 + 80 = 195.
Although, notice that this does not mean the answer is not 80%.
We need to find what percentage is 80 out of 195.
80 out of 195 = 41.03%.
By rounding, we will get an answer of 41%.
Find the area of AABC. Round your answer to the nearest tenth.
mZA = 23º, mZC = 39, b = 14.6
a. 44.5
b. 29.7
C. 49.4
d. 77.1
Answer:
the answer is 77.1
It S.P. =Rs810, loss percent=10% find C.p
Answer:
x=900
Step-by-step explanation:
100-10=90
90/100=0.9
x*0.9=810
x=810/0.9
x=900:)
hope it helps!!
Have a great day
PLS HELP! What is 4 1/3 multiplied by 2 1/4
Answer:
your answer would be 9 3/4
hope this helps
here our your choices for the other guy
A 2 1/3
B 5 1/2
C 1 1/9
D 2 1/6
72 is what percent of 18?
Answer:
400%
Step-by-step explanation:
percent = part/whole × 100%
percent = 72/18 × 100%
percent = 4 × 100%
percent = 400%
Answer: 400%
Answer:
400%
Step-by-step explanation:
x/2-1=3 what is X PLEASE HELPPPPPPPPPPP
x / 2 - 1 = 3
Add 1 to both sides.
x / 2 = 4
Multiply both sides by 2.
x = 8
Now lets put in 8 for x in our original equation:
8 / 2 - 1 = 3
4 - 1 = 3
3 = 3
This is correct, therefore we know x = 8.
I hope I've helped! :)
gary incurred $5,200 in qualified medical expenses in 2021. his agi for the year is $50,000. gary will be able to deduct $
Gary will be able to deduct $1,450 in medical expenses on his 2021 tax return.
Based on the information you provided, we can calculate Gary's deductible medical expenses using the following terms:
1. Qualified medical expenses: $5,200
2. AGI (Adjusted Gross Income): $50,000
According to the IRS, taxpayers can deduct qualified medical expenses that exceed 7.5% of their AGI for the tax year 2021. Here's the step-by-step calculation for Gary's deductible medical expenses:
Step 1: Calculate 7.5% of Gary's AGI
7.5% x $50,000 = $3,750
Step 2: Subtract the 7.5% AGI threshold from Gary's qualified medical expenses
$5,200 - $3,750 = $1,450
Gary will be able to deduct $1,450 in medical expenses on his 2021 tax return.
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If \( f(x, y)=e^{3 x} \sin (4 y) \) then: \[ \nabla f(-1,-3)= \]
The gradient of the function \(\(f\)\) at the point \(\((-1, -3)\)\) is:
\(\[\nabla f(-1, -3) = \left(-3e^{-3} \sin(12), 4e^{-3} \cos(12)\right)\]\)
To find the gradient of the function \(\( f(x, y) = e^{3x} \sin(4y) \)\) at the point \(\((-1, -3)\)\), we need to compute the partial derivatives with respect to \(\(x\) and \(y\)\) and evaluate them at that point.
The gradient of a function is given by:
\(\[\nabla f(x, y) = \left(\frac{{\partial f}}{{\partial x}}, \frac{{\partial f}}{{\partial y}}\right)\]\)
Let's calculate the partial derivatives:
\(\[\frac{{\partial f}}{{\partial x}} = \frac{{\partial}}{{\partial x}}\left(e^{3x} \sin(4y)\right) = 3e^{3x} \sin(4y)\]\)
\(\[\frac{{\partial f}}{{\partial y}} = \frac{{\partial}}{{\partial y}}\left(e^{3x} \sin(4y)\right) = 4e^{3x} \cos(4y)\]\)
Now, we can evaluate these derivatives at the point \(\((-1, -3)\):\)
\(\[\frac{{\partial f}}{{\partial x}}\Bigr|_{(-1, -3)} = 3e^{3(-1)} \sin(4(-3)) = 3e^{-3} \sin(-12)\]\)
\(\[\frac{{\partial f}}{{\partial y}}\Bigr|_{(-1, -3)} = 4e^{3(-1)} \cos(4(-3)) = 4e^{-3} \cos(-12)\]\)
Simplifying further:
\(\[\frac{{\partial f}}{{\partial x}}\Bigr|_{(-1, -3)} = 3e^{-3} \sin(-12) = -3e^{-3} \sin(12)\]\)
\(\[\frac{{\partial f}}{{\partial y}}\Bigr|_{(-1, -3)} = 4e^{-3} \cos(-12) = 4e^{-3} \cos(12)\]\)
Therefore, the gradient of the function \(\(f\)\) at the point \(\((-1, -3)\)\) is:
\(\[\nabla f(-1, -3) = \left(-3e^{-3} \sin(12), 4e^{-3} \cos(12)\right)\]\)
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A college cafeteria pays student cashiers $540 per hour. Cashiers earn an additional
$110 per hour for each hour worked over 35 hours per week. A cashier worked 39
hours one week and 37 hours the second week. Show and explain to the cashier how her salary calculated in this two-week period?
Given :
A college cafeteria pays student cashiers $540 per hour. Cashiers earn an additional $110 per hour for each hour worked over 35 hours per week.
To Find :
A cashier worked 39 hours one week and 37 hours the second week.
Show and explain to the cashier how her salary calculated in this two-week period.
Solution :
Week 1 :
For first 35 hours he will get fixed amount i.e $540.
Now, for next four hours he will get $110 per hour.
So, total salary, T = 540 + (110×(39 - 35)
T = $980
Week 2 :
Total salary, T = 540 + ( 110×( 37 - 35 ))
T = $760
Therefore, salary of two week period is $( 980 + 760 ) = $1740.
if a person randomly draws two cards without replacement, find the probability of drawing a seven and then a four.
The probability of drawing a seven and then a four when randomly drawing two cards without replacement is 0.0045 or approximately 0.45%.
The probability of drawing a seven and then a four when randomly drawing two cards without replacement can be calculated using the following steps:
First, we need to determine the total number of possible outcomes when drawing two cards from a standard deck of 52 cards without replacement. This can be found using the combination formula:
C(52,2) = 52! / (2! * (52-2)!) = 1,326
Next, we need to determine the number of favorable outcomes where we draw a seven and then a four.
There are four sevens and four fours in a deck of 52 cards, so the probability of drawing a seven on the first draw is 4/52. Since we are not replacing the card, there are now 51 cards left in the deck, and three of them are fours. Therefore, the probability of drawing a four on the second draw is 3/51.
The probability of drawing a seven and then a four is the product of the probabilities of drawing a seven on the first draw and a four on the second draw:
P(seven and then four) = (4/52) * (3/51) = 0.0045 or approximately 0.45%.
Therefore, the probability of drawing a seven and then a four when without replacement is 0.0045 or approximately 0.45%.
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What is the measure of angle ABC?
Answer:
25°
Step-by-step explanation:
its between 20° and 30°
A company provides carousel rides for,
a
, adults and,
c
, children. The company charges
$
12
for each adult and
$
7.50
for each child. The company can have as many as
36
people and needs to take in a minimum of
$
325
to make a profit. Which of the following systems of equations represents the situation?
12
a
+
7.50
c
≤
325
a
+
c
≤
36
12
a
+
7.50
c
>
325
a
+
c
<
36
12
a
+
7.50
c
≥
325
a
+
c
≤
36
12
a
+
7.50
c
≥
325
a
+
c
≥
36
Answer: 12a+7.50c ≥ 325 and a+c ≤ 36
==========================================
Work Shown:
a = number of adults
c = number of children
12a = revenue from just the adults
7.50c = revenue from just the children
12a+7.50c = total revenue
total revenue ≥ $325
12a+7.50c ≥ 325 is part of the answer
--------------
a+c = total number of people
total number of people ≤ 36
a+c ≤ 36 is the other part of the answer
Answer: 12a+7.50c ≥ 325 anda +c ≤ 36
Step-by-step explanation: