The area of a regular polygon is one-half the product of its apothem and its perimeter. Often the formula is written like this: Area=1/2(ap), where a denotes the length of an apothem, and p denotes the perimeter.
Step-by-step explanation:
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can someone do this for me please?! Just the answer pls
Answer:
see the attachment photo!
The measure of angle is 0 is 7pi/4. The measure of its reference angle is ___ °, and tan 0 is ____
Answer: pi/4 and -1
Step-by-step explanation:
What is the volume of the figure?
A. 188.5 units cubed
B. 196.9 units cubed
C. 205.3 units cubed
D. 213.6 units cubed
what is the value of 50 US dollar in philippine money?
Answer:
Answer is $2,637.38
Step-by-step explanation:
The two tables show the number of copies of albums x, y, and z sold in outlets a, b, c, and d of a company. which outlet sold the greatest number of copies of album x in july and august?
Outlet A sold the greatest number of copies of album x in July and August
How to determine the outlet?The tables of values are given as:
July
Album X Album Y Album Z
Outlet A 14 8 6
Outlet B 7 13 4
Outlet C 2 11 1
August
Album X Album Y Album Z
Outlet A 12 14 10
Outlet B 5 12 8
Outlet C 16 12 7
In July, the total sales of album x are:
Outlet A = 14
Outlet B = 7
Outlet C = 2
In August, the total sales of album x are:
Outlet A = 12
Outlet B = 5
Outlet C = 16
Add both sales
A = 14 + 12 = 26
B = 7 + 5 = 12
C = 2 + 16 = 18
26 (in outlet A) is greater than 12 and 18
Hence, outlet A sold the greatest number of copies of album x in July and August
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Answer:
Outlet D
Step-by-step explanation:
they sold 28 of album x
outlet a only sold 26
If 2^2^x = 2^3 what is the value of x
Answer:
[tex]\dfrac 32[/tex]
Step-by-step explanation:
[tex]~~~~~~~2^{2x} = 2^3\\\\\implies \ln\left(2^{2x} \right) = \ln (2^3)\\\\\implies 2x \ln(2) = 3 \ln(2) \\\\\implies 2x = 3\\\\\implies x = \dfrac 32[/tex]
Answer:
B
Step-by-step explanation:
which method is best for solving the system of equations,
3x+2y=4
-3x+y=2
The method which is best for solving the system of equations when you remove one variable by adding them is B Elimination
To answer the question, we need to know what system of equations are
What are system of equations?System of equations are pairs of equations that contain two unknowns
Ways of solving system of equationsWe have different ways of solving systems of equations which include
Guess and CheckEliminationGraphing and SubstitutionSince we have the system of equations
3x + 2y = 4
-3x + y = 2
The method which we can use to remove one variable by adding them is the elimination method.
Adding them, we have
3x + 2y = 4
+
-3x + y = 2
3y = 6
y = 6/3
y = 2
So, the method which we can use to remove one variable by adding them is B Elimination
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Solve for x:
e^(3x )+ e^x - 6 = 0
Right now I'm having trouble with the step u = e^x, u^3 + u - 6 = 0. Help!
The value of x of the cubic equation e³ˣ + eˣ - 6 = 0 will be 0.49
What is a cubic equation?The cubic equation is given as ax³ + bx² + cx + d = 0. Then degree of the equation will be 3. Then we have
The cubic equation will be
e³ˣ + eˣ - 6 = 0
Let eˣ = u, then the equation will be
u³ + u - 6 = 0
Then the root of the equation is calculated by the calculator, then we have
u = 1.634, -0.817, -0.817
eˣ = 1.634, -0.817, -0.817
Take log on both sides, then we have
x = ln 1.634, ln(-0.817), ln(-0.817)
x = 0.49, not defined, not defined
Then the value of x will be 0.49.
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Julia buys a spool with 12 yards of wire. The students in
her jewelry-making class use 4 yards 2 feet of the wire
for one project and 7 feet of the wire for another
project. How many feet of wire does Julia have left?
What is the perimeter of triangle JKL (same triangle as question #1)?
Answer:
x=30
Step-by-step explanation:
You have to use intercept theorem, also known as Thales's theorem to slvoe this.
Consider function g.
g(x)={(6,-8<=(-2)<-2 ),(0,-2<=(-2)<4),(-4,4<=(-2)<10):}
What are the values of the function when x = -2 and when x = 4?
g(-2) = __
g(4) = __
By evaluating the piecewise function, we get:
g(-2) = 0.
g(4) = 4.
How to evaluate the piecewise function?A piecewise function is a function that behaves differently in different parts of its domain.
Here, we first want to get g(-2). x = -2 belongs to the second domain, then we use that part:
g(-2) = 0.
For x = 4, it belongs to the third domain, then we have:
g(4) = 4.
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Solve for h: h+4/-2=0.3 ([tex]h+\frac{4}{-2} =0.3[/tex])
Give Explanation please.
Answer: [tex]h=\frac{23}{10} =2.300[/tex]
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
[tex]h+\frac{4}{-2} -((\frac{3}{10} ))=0[/tex]
[tex]Simplify~ \frac{3}{10}[/tex]
[tex](h+\frac{4}{-2} )-\frac{3}{10} =0[/tex]
Subtracting a fraction from a whole
Rewrite the whole as a fraction using 10 as the denominator :
[tex]h-2=\frac{h-2}{1} =\frac{h-2x10}{10}[/tex]
Equivalent fraction: The fraction thus generated looks different but has the same value as the whole
Common denominator: The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to the lowest terms if possible:
[tex]\frac{(h-2)x10-(3)}{10} =\frac{10h-23}{10}[/tex]
[tex]\frac{10h-23}{10} =0[/tex]
When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, CalderonJ multiplys both sides of the equation by the denominator.
Here's how:
[tex]\frac{10h-23}{10} *10=0*10[/tex]
Now, on the left hand side, the 10 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
10h-23 = 0
Add 23 to both sides of the equation :
10h = 23
Divide both sides of the equation by 10:
h = 23/10 = 2.300
Final Answer: 2.3(decimal form) aka 23/10 (fraction)
Ok help me I don’t understand stand this
Answer:
Step-by-step explanation:
Comment
It is not possible to figure out what choices are are given for the first blank. I will say that the probable choice has the word product in it.
The second blank is the actual number of choices. It is 3 page count times color or 3*4 = 12 different choices.
Answer
product
12
Write your answer in simple solution (4x^3+2x+6)+(2x^3-x^2+2)
X+17=38 which property is included in the justification for the steps used to solve the equation?
Looking at the problem statement, the question is asking for us to determine the justification for the steps that are used to help solve the equation. We are given the expression [tex]x + 17 = 38[/tex] to help achieve that goal.
Now that we know what we must do to finish this problem let us look how this equation can be solved. When the term solve the equation is used it refers to us solving for the unknown, in this case being the variable x. We can see that we have [tex]x + 17[/tex] on the left side and in order to solve the equation x must be alone so we would subtract 17 from both sides.
Subtract 17 from both sides
[tex]x + 17 = 38[/tex][tex]x + (17 - 17) = (38 - 17)[/tex][tex]x = (38 - 17)[/tex][tex]x = 21[/tex]Therefore, we know that we must subtract the same number from both sides and this justification is known as the Subtraction Property of Equality. This basically states that an equal value needs to be subtracted from both sides and it will become a new equation but with the same result.
Answer:
Subtraction Property of Equality
Step-by-step explanation:
Given: x + 17 = 38
Algebraic Properties:
Addition: If a = b, then a + c = b + c
Subtraction: If a = b, then a - c = b - c
Multiplication: If a = b, then ac = bc
Division: If a = b, then a ÷ c = b ÷ c
To solve this equation, we know that we need to isolate the variable x. To do this, we need to subtract 17 from both sides to isolate x.
This is also known as the subtraction property of equality, which states that when the same thing is subtracted from both sides of an equation, the equation will still be balanced.
Subtract 17 from both sides:
x + 17 - 17 = 38 - 17
⟹ x = 21
Therefore, the subtraction property of equality is included in the steps used to solve this equation.
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Frank has $500 in a savings account that earns 2% interest per year. The interest is not compounded. How much interest will Frank earn in 5 years?
Answer:
$50 interest
Step-by-step explanation:
Simple interest formula
I = Prt
where:
I = interested earnedP = principal amountr = interest rate (in decimal form)t = time (in years)Given:
P = $500r = 2% = 0.02t = 5 yearsSubstitute the given values into the formula and solve for I:
⇒ I = 500 · 0.02 · 5
⇒ I = 50
Therefore, Frank will earn $50 interest in 5 years.
Which of the following situations can be defined using an exponential function?
A The value of the stocks decreased by $100 last year.
B The number of bacteria decreases by 7% each hour.
C The number of bacteria increases by 700 each hours.
D The value of the stocks increases by $10 every year you own them.
The situation which can be defined using an exponential function is "The number of bacteria decreases by 7% each hour".
What is an exponential function?An exponential function is used to represent a situation in which values of an event do not increase at a constant or linear rate.
From the above,
The value of the stocks decreased by $100 last year is a linear function.The number of bacteria increases by 700 each hour is a linear function.The value of the stocks increases by $10 every year you own them is a linear function.Learn more about exponential function:
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On a coordinate plane, triangle B C D is rotated 180 degrees clockwise to form triangle B prime C prime D prime. Identify the angle of rotation that maps triangle BCD to triangle B’C’D’. What is the angle of rotation? 90° 180° 270° 360°
Answer:
180
Step-by-step explanation:
(10/2)x7+5-4 whats the answer
Answer:
36
Step-by-step explanation:
Question:
[tex] \bigg(\cfrac{10}{2} \bigg)\times 7 + 5 - 4[/tex]
Solution:
Here, we need to use PEMDAS rule, where:
P = parenthesise = exponentsm = multiplicationD = divisiona = additions = subtractionThere's a rule as well, the sum given is need to solved from the left, whichever sign is there.
Solved:
[tex]\bigg(\cfrac{10}{2} \bigg)\times 7 + 5 - 4[/tex]
Solve for parentheses first:
[tex] = 5 \times 7 + 5 - 4[/tex]
Then multiplication of course:
[tex] = 35 + 5 - 4[/tex]
Then addition:
[tex] = 4 0 - 4[/tex]
[tex] =36[/tex]
Hence, the answer is 36.
find the 5th term of the GP is 48 and it 8th term is 384. find the first term and the common
Answer:
[tex]\text{1st term} = 3\\\\\text{Common ratio} = 2[/tex]
Step by step explanation:
[tex]\text{Given that,}\\\\\text{5th term} = ar^{5-1} = ar^4 = 48~~~~~~~~...(i)\\ \\\text{8th term} = ar^{8-1} = ar^7 = 384~~~~~~~...(ii)\\\\\text{1st term,}~ a = ?\\\\\text{Common ratio,}~ r = ?\\\\(ii) \div (i):\\\\~~~~~~\dfrac{ar^7}{ar^4}=\dfrac{384}{48}\\\\\implies r^{7-4} = 8\\\\\implies r^3 = 8\\\\\implies r^3 = 2^3\\\\\implies r =2\\\\\text{Substitute r = 2 in eq (i):}\\\\~~~~~~a\cdot 2^4 = 48\\\\\implies 16a =48\\\\\implies a = \dfrac{48}{16}\\\\\implies a = 3\\[/tex]
Evaluate l-x-2yl for x = -2 and y = 3.
Step-by-step explanation:
|...| means absolute value of "...". that means always the "+" value of "...", even if it is negative.
in other words
|-x| = x
|x| = x
|-x - 2y| for x = -2 and y = 3
|- -2 - 2×3| = |2 - 6| = |-4| = 4
If $3840 is deposited into a bank account at a 5% interest rate how long will it take the account to make $960 in interest?
assuming is simple interest
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$960\\ P=\textit{original amount deposited}\dotfill & \$3840\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years \end{cases} \\\\\\ 960 = (3840)(0.05)(t)\implies \cfrac{960}{(3840)(0.05)}=t\implies 5=t[/tex]
help me I need the answer on paper help me now
Answer:
x = 144
Step-by-step explanation:
Angle sum of heptagon = 900
5x + 90 + 90 = 900
5x + 180 = 900
5x + 180 - 180= 900 - 180
5x = 720
Divide both sides by 5
x = 144
what is the answer to 54785 plus 43543546546546
need help asap please!
Answer:
determinant: -15x = 3; y = 4; z = 1Step-by-step explanation:
The matrix of coefficients has one row corresponding to each equation. The constants in that row are the coefficients of the variables in the equation. Coefficients are listed in the same order on each row. A missing term is represented by a coefficient of 0.
coefficient matrix, determinantThe first attachment shows the coefficient matrix and its determinant.
__
solutionThe solution to the system of equations can be found by left-multiplying the constant vector by the inverse of the coefficient matrix.
[tex]\textbf{A$\cdot$X}=\textbf{B}\\\\\textbf{X}=\textbf{A}^{-1}\cdot\textbf{B}[/tex]
This multiplication is shown in the second attachment. It tells us ...
[tex]\textbf{X}=\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}3\\4\\1\end{array}\right][/tex]
Draw a picture to show the value of 5 x (3 + 7)
How many times as big is 5 x (3 + 7) as (3 + 7)? How do you know?
Which addition does the model below represent?
5 positive tiles and 3 negative tiles.
Any time we have a single positive tile pair up with a single negative tile, those two tiles cancel out.
Three positive tiles and three negative tiles will pair up and cancel out. We're left with two positive tiles only. This represents the number 2.
In other words, 5 + (-3) = 5 - 3 = 2
Which equations and/or functions represent the graphed line? Select three options.
A coordinate plane with a line passing through the points, (negative 4, 0), (negative 2, 1), (0, 2), and (2, 3).
The equations of the graphed line and function can be written as:
f(x) = 1/2x + 2
y - 3 = 1/2(x - 2)
y - 1 = 0.5(x + 2)
What is the Equation of a Graphed Line?Equation of a graphed line can be expressed in:
Slope-intercept form as y = mx + b, where m = slope, b = y-intercept; or
Point-slope form as y - b = m(x - a), where (a, b) is a point and m = slope.
Find the slope (m) of the line:
Slope (m) = change in y / change in x = 1/2 = 0.5
y-intercept (b) = 2
To express the graphed line in slope-intercept form, substitute m = 1/2 and b = 2 into f(x) = mx + b:
f(x) = 1/2x + 2.
Using the point-slope form, write the equation by substituting m = 1/2 and (a, b) = (2, 3) into y - b = m(x - a):
y - 3 = 1/2(x - 2)
Or substitute m = 0.5 and (a, b) = (-2, 1) into y - b = m(x - a):
y - 1 = 0.5(x - (-2))
y - 1 = 0.5(x + 2)
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1 pound is equivalent to ____ grams.
Answer: 453.592 grams
Step-by-step explanation:
I searched it up online. But if you're going to use this to calculate. Use 454 grams.
Answer:
453.592 rounded would be 454* grams witch is equal to 1 pound
Step-by-step explanation:
1 pound is equivalent to __453.592 or just say 454*__ grams.
Had to fix that hehehe
Hope This Helped
Please help me fast and thank you if you do
Answer:
8 > u > 6
Step-by-step explanation:
We have to solve this inequality as 2 separate inequalities.
==============================================================
Inequality 1 :
⇒ 10 > 5u/4
⇒ 5u < 10 × 4
⇒ 5u < 40
⇒ u < 8 [Box 1]
============================================================
Inequality 2 :
⇒ 5u/4 > 15/2
⇒ 5u/2 > 15
⇒ u/2 > 3
⇒ u > 3 × 2
⇒ u > 6 [Box 2]
============================================================
Solution :
⇒ 8 > u > 6