HELP!! also please do not give me the answer i just need help knowing how to solve this! :)
Answers
Using mathematical operations, we know that a wooden piece of (B) 4 feet will have the least unused wood.
What are mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands. The rules that specify the order in which we should solve an expression involving multiple operations are known as the order of operations. PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction (from left to right).So, the piece of wood which will have the least amount of unused wood:
The piece of wood Tomas will cut is √11.We know that √11 is 3.313.31 is more than 3 and less than 4.
3 < 3.31 < 4So, wooden pieces of 4 feet will have the least unused wood.
Therefore, using mathematical operations, we know that a wooden piece of (B) 4 feet will have the least unused wood.
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Related Questions
9 The 11th term of an A.P. is -31 and
21st term is -71, find the (a) 1st term
(b) common difference (c) 15th term
Answers
(a) The 1st term of the arithmetic progression is 9
(b) The common difference of the arithmetic progression is -4
(c) The 15th term of the arithmetic progression is -47
Calculating the terms of an Arithmetic ProgressionThe nth term of an arithmetic progression is given by
aₙ = a + (n - 1)d
Where a is the first term
and d is the common difference
From the given information,
a₁₁ = -31
and
a₂₁ = -71
But
a₁₁ = a + 10d
and
a₂₁ = a + 20d
Thus,
a + 10d = -31 ------------ (1)
a + 20d = -71 ------------ (2)
Subtract equation (1) from equation (2)
a + 20d = -71
a + 10d = -31
---------------------------
10d = -40
d = -40/10
d = -4
Substitute the value of d into equation (1)
a + 10d = -31
a + 10(-4) = -31
a - 40 = -31
a = -31 + 40
a = 9
Also,
a₁₅ = a + 14d
Substitute the values of a and d
a₁₅ = 9 + 14(-4)
a₁₅ = 9 - 56
a₁₅ = -47
Hence, the first term is 9, the common difference is -4 and the 15th term is -47
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Select all equations that are also equivalent to 0.6+15b+4=25.6
Answers
The equations that are equivalent to the expression are 15b = 25.6 - 4.6
and 15b =21
Solving linear equationsA two-variable linear equation can be thought of as a linear relationship between x and y, or two variables whose values rely on each other (often y and x) (usually x).
Y is referred to as the dependent variable in this scenario since it depends on the independent variable, x.
Given the linear equation below;
0.6+15b+4=25.6
Simplify to have;
0.6+15b+4=25.6
15b + 4.6 = 25.6
15b = 25.6 - 4.6
15b =21
Divide both sides by 15
b = 21/15
b = 1.4
This gives the solution to the given linear equation
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2. Use powers to rewrite these problems:
Example: 5 x 5 = 5^2
a. 4 * 4 * 4 * y * y * y
b. 7 * 7 * 7
c. 3 * 3 * 3 * x * x * x
Answers
Answer:
[tex] {4}^{3} {y}^{2} \\ {7}^{3} \\ {3}^{3} {x}^{3} [/tex]
The first three terms of an arithmetic sequence are as follows 33,25,17 what’s the next two terms of this sequence
Answers
The next two terms of the given given sequence are 9, 1 if the first three terms of arithmetic sequence are 33, 25, 17.
An arithmetic sequence has a constant difference (d) and is defined by
a(n) = a(1) + (n-1)d ----------- (1)
Here a(1) = 33, a(2) = 25, a(3) = 17
d = a(2) - a(1)
d = 25 - 33 = -8
Substitute the values in (1)
a(n) = 33 + (n-1)(-8)
a(n) = 33 - 8n + 8
a(n) = -8n + 41 ------------- (2)
We have to find a(4) and a(5)
Substitute n = 4 in (2), we get
a(4) = -8(4) + 41 = -32 + 41 = 9
Substitute n = 5 in (2), we get
a(5) = -8(5) + 41 = -40 + 41 = 1
Hence the next two terms are 9, 1.
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Write 100 minutes in hours and minutes.
Answers
Answer:
1 hour and 40 minutes
Step-by-step explanation:
60 minutes in an hour
we have 100 minutes
100 - 60 = 40
in 100 minutes we already have 1 hour
now we have 40 minutes left
can 40 minutes make another 60?
No.
so 100 minutes make
1 hour and 40 minutesThe cost of a computer in a computer store is reduced by 12.5% in a sale. İf the computer was priced 7800$ what is the price in the sale?
Answers
Answer:
$6825.
Step-by-step explanation:
Price in the sale
= 7800 - 12.5% of 7800
= 7800 - 1/8 * 7800
= 7800 - 975
= $6825.
For which equations is 8 a solution? Select the four correct answers. x + 6 = 2 x + 2 = 10 x minus 4 = 4 x minus 2 = 10 2 x = 4 3 x = 24 StartFraction x Over 2 EndFraction = 16 StartFraction x Over 8 EndFraction = 1
Answers
The equations with a solution of 8 are:
x+2=10, x -4 = 4, 3x = 24, and x/8 =1
This is further explained below.
What are equations?An equation is a formula that, in mathematics, expresses the equivalence of two expressions by linking them with the equals symbol =. In other words, an equation is a mathematical expression.
An equation is a mathematical statement that demonstrates that two mathematical expressions have the same value. This is the most basic version of the definition of an equation in algebra.
For example, the phrase "3x + 5" = 14 is an equation, in which the two expressions "3x + 5" and "14" are separated by the symbol for "equal."
Now we consider all equations given
1)
x+6 = 2
x = 2-6
x = -4
2)
Considering question 2 equation to see if it equals 8
x+2=10
x = 10-2
x = 8
3)
Considering question 3 equation to see if it equals 8
x -4 = 4
x = 4+4
x = 8
4)
Considering question 4 equation to see if it equals 8
x-2=10
x = 10+2
x = 12
5)
Considering question 5 equation to see if it equals 8
2x = 4
x = 2
6)
Considering question 6 equation to see if it equals 8
3x = 24
x = 8
7)
Considering question 7 equation to see if it equals 8
x/2 = 16
x = 32
8)
Considering question 8 equation to see if it equals 8
x/8 =1
x = 8
In conclusion, only equations:
x+2=10, x -4 = 4, 3x = 24, and x/8 =1 have the solution of 8
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Find the value of x and y. PLEASE EXPLAIN ;)
Answers
Answer: man
why bro
Step-by-step explanation:
does anybody know what 6x+24 means
Answers
= 6(x+4)
100 brainly!!! Which of the following functions is graphed below?
Answers
Answer: the answer is B
oan, omb, apb and mpn are straight lines and an = 3oa. m is the midpoint of ob. oa = a ов = b ap = kab where k is a scalar quantity. express ab and mn in terms of a and b. express mp in terms of a, b and k. finally, find the value of k.
Answers
The values of the vectors of AB = b - a , MN = 29a - b/2 and MP = b/2 + (k + 1)( b - a)
What is a triangle?A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.
We have been given that OB = b and OA = a
From ΔAOB we have;
OB + BA + AO = 0
b + (- AB ) -a = 0
AB = b - a
Now from ΔMNO we have;
MN + NO + OM = 0
MN + ( -ON) + OB/ 2 = 0
MN - (OA + AN ) + b/2 = 0
MN - ( a + 30a) + b/2 = 0
MN = 29a - b/2
Now from ΔMBP , we have;
MB + BP + PM = 0
OB/2 + (BA - PA) + PM = 0
b/2 + ( - AP/k + AP) + PM = 0
b/2 + ( -kAB /k + kAB) + PM = 0
b/2 + ( k AB + AB ) + PM ) = 0
PM = -b/2 - (k + 1) (b - a)
MP = b/2 + ( k+1) (b - a)
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Triangle ABC is translated T(x,y) --> (x + 2, y - 3). What are the coordinates of the image of triangle ABC after this translation?
Answers
The coordinates of the image of triangle ABC would be A (-1, -1), B (3, 2), and C (4, -6) after translation, and if the original coordinates are A(-3,2) B(1,5) C(2,-3).
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
Let assume A(-3,2) B(1,5) and C (2,-3) are original coordinates
The following translation is being used: (x, y) ⇒ (x + 2, y - 3)
First, take your x-coordinates and add them by two because it is the translation utilized to solve for your x-coordinate.
You would receive the following for yours x's: A (-1, y ) B (3, y) C (4, y)
Next, remove three from each of your y-coordinates because it is the translation being utilized to solve for your y-coordinate.
You would receive the following for your y's: A (x, -1) B (x, 2) C (x, -6)
Finally, you would take each one and put it together, or piece it together.
Hence, the coordinates of the image of triangle ABC after translation would be A (-1, -1), B (3, 2), and C (4, -6).
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Rule for Input/output table Input values: 1, 2, 3, 4, n Output values: -4,-2,0,2
Answers
Answer:
[tex]a_{n}[/tex] = 2n - 6
Step-by-step explanation:
there is a common difference between consecutive terms , that is
- 2 - (- 4) = 0 - (- 2) = 2 - 0 = 2
this indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = - 4 and d = 2 , then
[tex]a_{n}[/tex] = - 4 + 2(n - 1) = - 4 + 2n - 2 = 2n - 6
the rule is then 2n - 6
Is the following statement true or false?
Answers
Reason - BD and AB are two lines intersecting each other at 90°, indicated by the 90 degree box in the corner, so they are perpendicular to each other
Find the exact values of the six trigonometric functions of each angle 8.
Answers
Given: The trigonometry shown in the image
To Determine: The exact values of the six trogonometric functions of each angle shown
Solution
It can be observed that
Therefore
[tex]\begin{gathered} sin\theta=-1 \\ cos\theta=-\sqrt{2} \end{gathered}[/tex][tex]tan\theta=\frac{sin\theta}{cos\theta}=\frac{-1}{-\sqrt{2}}=\frac{1}{\sqrt{2}}[/tex][tex]\begin{gathered} csc\theta=\frac{1}{sin\theta}=\frac{1}{-1}=-1 \\ sec\theta=\frac{1}{cos\theta}=\frac{1}{-\sqrt{2}}=-\frac{1}{\sqrt{2}} \\ cot\theta=\frac{1}{tan\theta}=\frac{1}{\frac{1}{\sqrt{2}}}=1\times\sqrt{2}=\sqrt{2} \end{gathered}[/tex]What is the polar form of -9-91√3 ?
09 (cos()+ i sin())
O 9 (cos (4T) + i sin (4))
O 18 (cos ()+sin())
O 18 (cos (4) + i sin (4T))
3
Answers
The polar form of the rectangular form - 9 - i 9√3 is 18 · [cos (4π / 3) + i sin (4π / 3)]. (Correct choice: A)
What is the polar form of a complex number in rectangular number?
Herein we find a complex number in rectangular form, that is, a complex number of the form a + i b, whose polar form has to be found. Complex numbers in polar form are defined by the following expression:
z = r · (cos θ + i sin θ)
r = √(a² + b²)
θ = tan⁻¹ (b / a)
Where:
r - Norm of the complex number.θ - Direction of the complex number, in radians.a, b - Components of the complex number in rectangular form.If we know that a = - 9 and b = - 9√3, then the complex number in polar form is:
r = √[(- 9)² + (- 9√3)²]
r = 18
θ = tan⁻¹ √3
θ = 4π / 3
The polar form is 18 · [cos (4π / 3) + i sin (4π / 3)].
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Evaluate each expression using the values given in the table.
Answers
SOLUTION:
Step 1:
In this question, we are given the following:
Step 2:
From the question,
We have that:
[tex]\begin{gathered} a)\text{ f (1) =2 and g(1) =0} \\ We\text{ n}eed\text{ evaluate :} \\ (fog\text{ ) (1) = f(g(1)) = f (0) =-1} \\ \text{Then, (fog)(1) = - 1} \end{gathered}[/tex][tex]undefined[/tex]The values of each composite function are:
a) -1
b) -1
c) 2
d) 0
e) 2
f) -4
We have,
These are composite functions.
It is written as:
(f o g) (x) = f (g(x))
Now,
From the table, the values for each function f and g at specific values x are taken.
a.
(f o g)(1)
f(g(1)) = f(0) = -1
b.
(f o g) (-1)
f(g(-1)) = f(0) = -1
c.
(g o f) (-1)
g(f(-1)) = g(-2) = 2
d.
(g o f) (0)
g(f(0)) = g(-1) = 0
e.
(g o g) (-2)
g(g(-2)) = g(2) = 2
f.
(f o f) (-1)
f(f(-1)) = f(-2) = -4
Thus,
The values of each composite function are:
-1, -1, 2, 0, 2, and -4.
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If you cut me in half, my end face will remain the same. Two of my faces are the same, one is curved. What am I?
Answers
Answer: The moon
Step-by-step explanation:
The cone is the solid form that represents "If you cut me in half, my end face will remain the same. Two of my faces are the same, one is curved."
What is the volume of a cone?The volume of a cone is defined as the amount of space occupied by a cone in a three-dimensional plane.
∵ The volume of the cone (V )= 1/3πhr²
The number of faces of a regular cone is one, which we may partition vertically into two halves.
This means one base face and lateral face
Now, the number of faces in one half equals the number of faces in the original form.
This meets the conditions outlined in the question.
So, the cone is a solid form.
Thus, the cone is the solid form that represents "If you cut me in half, my end face will remain the same. Two of my faces are the same, one is curved."
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Using Cramer's Rule, the solution to the system of equations
6x - 5y = -4
-7x + 3y = -1
can be written in the form
( Dx , Dy )
( D D )
What is the value of D?
Answers
Answer's
Step-by-step explant
Does anyone know the answers to this? I can’t figure it out
Answers
Answer:
[tex]y=57(0.88)^t[/tex][tex]\text{ \$}20.50[/tex]Explanation:
An exponential decay function is generally given in the below;
[tex]y=a\cdot(1-r)^t[/tex]where a = initial amount
r = percentage rate of decrease in decimal
t = number of years
Given the initial value of the book(a) as $57 and the percent decrease(r) as 12% which as a decimal is 0.12 (12/100), let's go ahead and substitute these values into the above formula and we'll have;
[tex]\begin{gathered} y=57(1-0.12)^t \\ y=57(0.88)^t \end{gathered}[/tex]When t = 8, let's go ahead and solve for y;
[tex]\begin{gathered} y=57(0.88)^8 \\ y=\text{ \$}20.50\text{ (to the nearest cent)} \end{gathered}[/tex]Hari's weekly allowance varies depending on the number of chores he does. He received $18 in allowance the week he did 20 chores, and $12 in allowance the week he did 8 chores. Write an equation for his allowance in slope-intercept form.
Answers
The equation of his allowance in slope-intercept form is y = 0.5x + 8
He received $18 in allowance the week he did 20 chores.
He received $12 in allowance the week he did 8 chores.
The ordered pairs will be (8,12) and (20,18)
The slope intercept form is
y = mx + b
Where m is the slope
b is the y intercept
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the values in the equation
m = (18-12)/(20-8)
m = 6/12
= $0.5 per chores
Now we have to find b,
Substitute the value of any ordered pair in the slope intercept form
12 = 0.5×8+b
12 = 4+b
b = 12-4
b = 8
Hence, the equation of his allowance in slope-intercept form is y = 0.5x + 8
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What percentage of people in the study started
saving for retirement at age 21 or before? How
does this compare with the how many of these
same people believe their children or
grandchildren should start saving at 21 or
before?
Answers
Answer:8% started saving at or before 21
30% believe their children or grandchildren should start saving at or before 21
Step-by-step explanation: on the graph, the ones in lighter color start saving for requirements
That is 3%+5%=8%
The second solution goes thus
13%+17%= 30%
the ones in dark colors believe their children or grandchildren should start saving before 21
Rob counted the boxes of cereal in a grocery store with different sizes and numbers of prizes. Mini size Regular size Jumbo size 5 3 3 One prize Two prizes 3 4 5 Are the events "the box of cereal contains one prize" and "the box of cereal is regular size" independent? yes no
Answers
The events are independent because there is no evidence of dependece between the events, the box can contain one or two prices or be any size.
Use statement and reason.
Answers
Answer:
Step-by-step explanation:
Help me please (please dont guess)
Answers
Answer: No the input 3 has two out puts
Step-by-step explanation:
Use ur eyes
pls help due nowwwwwwwwwwwwwww
Answers
Answer:
A
Step-by-step explanation:
once tearra started buying games her money decreased by $35.50
You are planning to place a bet on your local sports team, the red sparrows. the sparrow's have a past record of 4-5 (4 wins, 5 losses) at this venue. however you also know that their record is 2-7 in games where it rains and it has rained at 60% of their games this season. 4 if the red sparrows win their game what is the probability that it rained at that game?
Answers
The probability that it rained at that game is 0.49.
Probability is the the ratio of a particular event with total number of event. It tells the possibility that an event can occur.
Probability that it rains P(R) = 0.60
probability that it won't rain P(R') = 1-0.60
= 0.4
Red sparrows have a past record of 4 wins and 5 loses when it does not rain, that is
P( winning/R') = 4/9 (win% = 4/total that is 5+4 which is 9)
P( lose/R') = 5/9 (lose % = 5/total)
When it rain the past record is 2 wins and 7 loses
P( win/R ) = 2/9
P( lose/R ) = 7/9
P (win) = P(R)*P(win/R) + P(R')*P(win/R')
= 4/9*0.4 + 2/9*0.6
If red sparrows win, then the probability that it rained at game
P (R/win) = P ( R η win) / P (win)
= 0.49
Therefore, we can conclude that the the probability that it rained at that game is 0.49.
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is -3.5 greater than 17/5
Answers
Answer:
no
Step-by-step explanation:
- 3.5 is a negative number.
17/15 is a positive number.
Note : -
Always positive numbers are greater than negative numbers.
3. Use your answer from #2 for x, and find the measure of both angles. Select 2 answers.
A
B
116
61°
64°
119⁰
2x-15
3x + 5
Answers
None of the available possibilities is an equivalent expression.
Supplemental methods add up to 180 degrees, just like all other options.
An equivalent expression is what?If two expressions function the same way while having different looks, they are said to be comparable. Two identical algebraic expressions have the same value when the same value(s) for the variable are entered (s).
No one in the available possibilities satisfies the requirement of a comparable expression.
2x - 15 + 3x + 15 = 180
2x - 10 + 3x = 180
5x - 10 = 180
5x - 10 + 10 = 180 +10
add the numbers
5x = 190
5x /5 = 190 5
x = 38
As a result, none of the possibilities shown are identical expressions.
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Calculate If 2x=8 find 5x+1
Answers
ANSWER
x = 4; 5x + 1 = 21
EXPLANATION
First, we have to find the value of x using the given equation,
[tex]2x=8[/tex]To do so, divide both sides by 2,
[tex]\begin{gathered} \frac{2x}{2}=\frac{8}{2} \\ \\ x=4 \end{gathered}[/tex]Now, with x = 4, replace it into the expression given to find its value,
[tex]5x+1=5\cdot4+1=20+1=21[/tex]Hence, the value of the expression is 21.