Answer:
3.72 ft
Step-by-step explanation:
Height of the wall will be equal to the width of the wall because we are considering over surface area of the wall
Therefore,
Area of the wall = length * height
1534 = 412 * height
Height = 1534/412
Height = 3.72 ft
Joey made a deposit into
an account that earns 6%
simple interest. After 3
years, Joey had earned $400.
How much was Joey’s initial
deposit? __________________
Suppose we want to choose 5 colors, without replacement, from 18 distinct colors.
(a) If the order of the choices does not matter, how many ways can this be done?
(b) If the order of the choices matters, how many ways can this be done?
Considering the definition of permutation and combination:
the number of ways of choosing 5 colors from 18 distinct colors (the order doesn't matter) is 8,568.the number of ways of choosing 5 colors from 18 distinct colors (the order of choices matters) is 1,028,160.Definition of PermutationPermutation is placing elements in different positions. So, permutations of m elements in n positions are called the different ways in which the m elements can be arranged occupying only the n positions.
In other words, permutations (or Permutations without repetition) are ways of grouping elements of a set in which:
take all the elements of a set.the elements of the set are not repeated.order matters.To obtain the total of ways in which m elements can be placed in n positions, the following expression is used:
[tex]mPn=\frac{m!}{(m-n)!}[/tex]
where "!" indicates the factorial of a positive integer, which is defined as the product of all natural numbers before or equal to it.
Definition of combinationCombinations of m elements taken from n to n (m≥n) are called all the possible groupings that can be made with the m elements in such a way that not all the elements enter; the order does not matter and the elements are not repeated.
To calculate the number of combinations, the following formula is applied:
[tex]C=\frac{m!}{n!(m-n)!}[/tex]
This caseIn this case, you know we want to choose 5 colors, without replacement, from 18 distinct colors. This is:
We want to choose 4 colors: n= 5The total number of distinct colors: m= 18(a) If the order of the choices is not taken into consideration, you use a combination as follow:
[tex]C=\frac{18!}{5!(18-5)!}[/tex]
Solving:
[tex]C=\frac{18!}{5!13!}[/tex]
C= 8,568
Finally, the number of ways of choosing 5 colors from 18 distinct colors (the order doesn't matter) is 8,568.
(b) If the order of the choices matters, you use a permutation as follow:
[tex]18P5=\frac{18!}{(18-5)!}[/tex]
Solving:
[tex]18P5=\frac{18!}{13!}[/tex]
18P5= 1,028,160
Finally, the number of ways of choosing 5 colors from 18 distinct colors (the order of choices matters) is 1,028,160.
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rational numbers
-2 + -([tex]\frac{1}{2}[/tex]+[tex]\frac{1}{3}[/tex]+[tex]\frac{1}{5}[/tex])
a)-[tex]\frac{1}{30}[/tex]
b)[tex]\frac{-29}{30}[/tex]
c)[tex]\frac{29}{30}[/tex]
d)1[tex]\frac{1}{30}[/tex]
Answer in fraction
The fraction is simplified to - 29/30 . Option B
What is a fraction?
A fraction is simply known as the part of a whole.
Types of fractions;
Mixed fractionsSimple fractionsProper fractionsImproper fractionsGiven the fraction;
-2 + ( 1/ 2 + 1/ 3 + 1/ 5 )
Find the lowest common multiple
- 2 + ( 15 + 10 + 6 /30 )
-2 + ( 31/30)
expand the bracket by finding the lowest common multiple, we have;
-60 + 31 / 30
Add the numerators
- 29/30
Thus, the fraction is simplified to - 29/30 . Option B
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Pleasee help ASAP I’m begging u plssss
what are the slope and the y-intercept of the linear function that is represented by the table
Answer:
D: The slope is 3, and the y-intercept is 3/2
Help please I’ll give you brainly and extra points
Answer:
It's a non-linear graph
-6x+15=45
what does x equal/
Answer:
6x Would not be considered as a answer but it is known as a unknown so the answer would be -60
Step-by-step explanation:
This is because it is
What is the converse of the following statement?
If a whole number has 0 as its last digit, then the number is evenly divisible by 10.
A. If a whole number is divisible by 10, then it is an even number.
B. If a number is evenly divisible by 10, then it is a whole number.
C. If a number is evenly divisible by 10, then it is a whole number that has 0 as its last digit.
D. If a whole number has 0 as its last digit, then it must be evenly divisible by 10
The statement which is a converse of the given statement as in the task content is; Choice C. If a number is evenly divisible by 10, then it is a whole number that has 0 as its last digit.
What is the converse of the statement given in the task content?The converse of a statement is a rearranged form of the statement in which case, the premise and conclusion switch sides. Hence, the converse of a mathematical statement still connotes the same meaning.
On this note, the converse of the statement in this case is; Choice C; If a number is evenly divisible by 10, then it is a whole number that has 0 as its last digit.
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This one as well please
Answer:
1/11
Step-by-step explanation:
If there are 11 counters and there's only 1 white one, that makes it to where there's only a 1 in 11 chance of you choosing that one white counter.
Add the polynomials as indicated. (x² +9x-7) + (-4x²-3x+1)+(x²-x-3)
Answer:−
2
x
2
+
5
x
−
9
Step-by-step explanation:
Answer:
Answer = -2x^2 + 5x - 9
Step-by-step explanation:
First add the x^2 terms :
> x^2 - 4x^2 + x^2
> - 3x^2 + x^2
> -2x^2
Then add the x terms :
> 9x - 3x - x
> 6x - x
> 5x
Then lastly add the last terms :
> -7 + 1 - 3
> -6 -3
> -9
= -2x^2 + 5x -9
Write 7 9/10 as an improper fraction
Answer:
7910=7910
Step-by-step explanation:
7 9/10 as an improper fraction is 79/10.
Given is a mixed fraction 7 9/10 we need to convert it into improper fraction,
To convert the mixed number 7 9/10 into an improper fraction, you need to follow these steps:
Step 1: Multiply the whole number (7) by the denominator (10): 7 x 10 = 70.
Step 2: Add the numerator (9) to the result from Step 1: 70 + 9 = 79.
Step 3: Write the sum from Step 2 as the numerator of the fraction.
Step 4: Keep the denominator (10) the same.
Therefore, 7 9/10 as an improper fraction is 79/10.
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What is the slope? (5,6) and (-1, 4)
Answer:
1/3
Step-by-step explanation:
y2-y1/x2-x1
4-6/-1-5
-2/-6
1/3
1. What is the best estimate for the
product of 37 and 19?
Answer: 800.
Step-by-step explanation: Round them both to the nearest ten. That is 40x20.
Answer:
2
Step-by-step explanation:
40/20=2
Find the value of x.
Answer:
27.5
Step-by-step explanation:
Answer:
(8-2)180
6*180= 1080
1080- 119- 140- 124- 132- 132- 102 = 331
6x +6x = 331
12x= 331
x= 27.5833
6(x)= 165.5
165.5 +165.5 + 119+ 140 + 124+ 132 + 132+ 102= 1080
Rank the following tools for measuring length from those that give the least precise results to the most precise results.
Highway mile marker
A yardstick
A length of a person's foot
A five - foot long branch from a tree
Answer:
option 3,4,2,1
Step-by-step explanation:
Let U = { 14, 15, 16, 17, 18, 19, 20 },
A = { 16, 17, 18, 19 }.
Use the roster method to write the set A′.
Complement of A set in roster form will be {14,15,20}.
U = { 14, 15, 16, 17, 18, 19, 20 },
A = { 16, 17, 18, 19 }.
A'= {14,15,20}
A set is mathematically represented in a straightforward way using roster notation. The elements (or members) of a set are listed in a row inside the curly brackets in the roster form. If the set contains more than one element, a comma is used in a roster notation to indicate the separation of every two elements. A list of the elements of a set, each separated by a comma, enclosed in a set of curly brackets, can be used to describe the contents of the set. Roster form is the term for this method of setting forth a set.
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Calculate the radicand of f(x)=x^2+20x+97 and state what it tells you about the roots of the function. Then solve the function using the quadratic formula.
Answer: The roots are x=-10 +- root 3.
Step-by-step explanation:
The minimum possible value of the chi-squared test statistic, Χ2 = 0, would occur if the observed count is:________.
a. more than the expected count in each cell.
b. less than the expected count as often as it is more than the expected count.
c. equal to the expected count in each cell.
d. less than the expected count in each cell.
e. equal to the expected count overall.
Answer:
a
Step-by-step explanation:
verify -(-x)=x for x =12/15 please answer fast
Answer:
-(-12/15) = 12/15
Step-by-step explanation:
-(-x) = x
Two minuses, one minus outside the bracket and one inside, make a positive. Thus:
-(-12/15) = 12/15
I
Line segment LN has endpoints L(-2, -3) and N(3, 7).
Which of the following determine the coordinates of point M located at the
of LN?
Answer:
(1/2, 2)
Step-by-step explanation:
Use Midpoint Formula
Label points L and N
M = (x1 + x2/2, y1 + y2/2)
M = ( -2 +3/2, -3 + 7/2)
M = (1/2, 2)
PLEASE HELP ME????!!!?
Step-by-step explanation:
what is the question ?
check everything that applies to the angles 1 and 2 ?
in that case :
two angles are adjacent angles, when they share a vertex and side.
so, yes, adjacent angles is true
vertical angles are angles that are opposite of each other when two lines cross.
so, no, vertical angles is false.
two angles are complementary, when they are adjacent and have combined 90°.
so, yes, complementary angles is true.
2 angles are supplementary, when they are adjacent and have combined 180°.
so, no, supplementary angles is false.
a linear pair of angles is basically the same as supplementary angles.
they are formed when two lines intersect each other (at a single point). The angles at the intersection point are linear if they are adjacent to each other, and their sum is always equal to 180°.
so, no, linear pair is false.
what is 2+2? PLEASE HELP FOR BRAINLIEST
Answer:
4
Step-by-step explanation:
simple
How do you solve this equation step-by-step? (below)
4a + 8 - 2a - 3 = 45
Answer:
a=20
Step-by-step explanation:
4a+8-2a-3=45
-8 on both sides
4a-2a-3=37
+3 on both sides
4a-2a=40
2a=40
a=20
Answer:
a = 20
Step-by-step explanation:
Let's understand it quickly,
4a + 8 - 2a - 3 = 45
Gather the like terms on RHS and LHS,
4a - 2a = = 45 - 5
2a = 40
a = 40/2
a = 20
Hope it helps!<3
A recipe for chocolate chip cookies with toffee bits and walnuts serves 8 people and needs 3 cups of flour. If Zachary wants to make the recipe for 14 people, how many cups of flour should he use?
I will mark you as the brainliest IF answered correctly.
Answer:
Im pretty sure it's 5.25 cups of flour
Step-by-step explanation:
so we know that it takes 3 cups for 8 people and we don't know the amount for 14 people so write it as a fraction and cross multipy
For the equation
8/3=14/x
The cross product is
8*x=3*14
Solving for x
x=3×14/8
and reducing
x=5.25
Passenger trains leave the station every
40 minutes. Freight trains leave every
30 minutes. If a passenger train and a
freight train just left at the same time, how
long will it be before one of each train
departs at the same time again?
When Passenger trains leave the station every 40 minutes and Freight trains leave every 30 minutes, If a passenger train and a freight train just left at the same time, then it will take 120 minutes for one of each train departs at the same time again
Given,
The passenger trains leave the station every 40 minutes
Freight trains leave every 30 minutes
We have to find the LCM
Prime factorization
30=2×3×5
40=2×2×2×5
LCM(30,40)= 2×2×2×3×5=120
Hence, when Passenger trains leave the station every 40 minutes and Freight trains leave every 30 minutes, If a passenger train and a freight train just left at the same time, then it will take 120 minutes for one of each train departs at the same time again.
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Find the equation of the line in SLOPE-INTERCEPT form if the slope is 3 and passes through the point (3,5)
A.y = 3x - 4
B.y = 3x -5
C.y = 3x + 5
D.y-5 = 3(x-3)
Look at my picture, what’s the missing statement in step 4?
Answer:
Step-by-step explanation:
∠ACE=∠ BCD (reflexive property )
It is common to both the angles or both the angles represent the same angle.
We have to prove two triangles are similar.
Here we show two angles of different triangles are equal.
Hence similar by AA
Answer:
m<CBD is congruent to m<DBC
Step-by-step explanation:
Reflexive property states that any real number, for example a, is equal to itself. < cbd is congruent to < dbc :)
Write a real world problem that you can model with the two step equation 5x+7=10.
The equation can be expressed as the product of 5 and a number increased by 7 is equal to 10.
Solving linear equationLinear equation are equations that has a leading degree of 1. The standard linear equation is given as y = mx + b
Given the expression 5x + 7 = 10
Subtract 7 from both sides to have:
5x+ 7 - 7 = 10 -7
5x = 10 - 7
5x = 3
5x - 3 = 0
5x = 3
x = 3/5
The equation can be expressed as the product of 5 and a number increased by 7 is equal to 10.
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the double number line shows that 4 bottles of water cost 10 dollars at a music festival
Answer:
That means that each water is $2.50, das crazy tho
Step-by-step explanation:
Cost price of an item is Rs 600. If the selling price is Rs 780, then the profit percent is
Answer:
Profit percentage=30%
Step-by-step explanation:
The profit percentage=profit/cost price×100%
but we can calculate profit as=selling price-cost price
profit=Rs780-Rs600=Rs180
Now substitute the profit value into the formula
Profit percentage=Rs180/Rs600×100%=30%
C.P of an item= Rs.600
S.P of an item = Rs. 780
Profit = SP- CP
= Rs. 780- Rs.600
=Rs.180
Now, profit percent= profit÷ CP × 100%
= 180 ÷ 600 × 100%
=30%
SOLVED! I HOPE ITS RIGHT!