Answer:
The answer is $12,000. 12 months × $1,000 per month = $12,000 minimum annual base rent; $435,000 gross sales × 2% = $8,700. The tenant paid $12,000 because the minimum base rent was more than the percentage of gross sales.
Step-by-step explanation:
Is the product of two irrational numbers always an irrational number?
Answer:
Step-by-step explanation:
Not always.
√3 * √27 = √81 = 9
The Muller family are on holiday in New Zealand. a. They change some euros (€) and receive $1962 (New Zealand dollars). The exchange rate is €1 = $1.635. Calculate the number of euros they change. [3] b. The family spend 15% of their New Zealand dollars on a tour. Calculate the number of dollars they have left. [4]
Answer:
a. €1200;$1667.70
Step-by-step explanation:
a. Number of euros
[tex]\text{euros} = \$1962 \times \dfrac{\text{1 euro}}{\text{\$1.635}} = \textbf{1200 euros}[/tex]
b. Dollars remaining
Dollars on hand = $1962.00
Less 15 % spent = 0.15 × 1962 = -294.30
Balance remaining = $1667.70
For each of the following paralellogram calculate the unknown angles marked. x, y and z
Answer:
x = 50°, y = z = 40°
Step-by-step explanation:
x = 50° ( Alternate angle )
z = 180° - (110 + 30)° = 180° - 140° = 40° ( sum of angles in Δ )
y = z = 40° ( Alternate angles )
1. Find the greatest common divisor of the term 144x3y2and 81xy4
Answer:
[tex]1296x^3y^4[/tex]
Step-by-step explanation:
Given the terms:
[tex]144x^3y^2[/tex]
and [tex]81xy^4[/tex]
To find:
Greatest Common Divisor of the two terms or Least Common Multiple (LCM) of two numbers = ?
Solution:
First of all, let us find the HCF (Highest Common Factor) for both the terms.
i.e. the terms which are common to both.
Let us factorize them.
[tex]144x^3y^2 = \underline{3 \times 3} \times 16\times \underline x \times x^{2}\times \underline{y^{2} }[/tex]
[tex]81xy^4= \underline {3\times 3}\times 9 \times \underline{x} \times \underline{y^2}\times y^2[/tex]
Common terms are underlined.
So, HCF of the terms = [tex]9xy^2[/tex]
Now, we know the property that product of two numbers is equal to the product of the numbers themselves.
HCF [tex]\times[/tex] LCM = [tex]144x^3y^2[/tex] [tex]\times[/tex] [tex]81xy^4[/tex]
[tex]LCM = \dfrac{144x^3y^2 \times 81xy^4}{9xy^2}\\\Rightarrow LCM = 144x^3y^2 \times 9x^{1-1}y^{4-2}\\\Rightarrow LCM = 144x^3y^2 \times 9x^{0}y^{2}\\\Rightarrow LCM = \bold{1296x^3y^4 }[/tex]
1. The cost of buying some books is partly constant and partly varies with the number of books bought. The cost is #4800 when 20 books are bought and #8000 when 40 are bought. Find the cost when 1000 books are bought
Answer:
Step-by-step explanation:
let the cost based on number of book bought be x and the constant be c:
4800 = 20x + c
8000 = 40x + c
c is common in both equations:
c =4800-20x
c = 8000-40x
equate the two:
4800-20x = 8000 - 40x
20x = 3200
x = 160
and c = 4800-20*160
c = 1600
Cost of 1000 books:
160*1000 + 1600
= 161600
Determine the equation of the inverse of y = 1/4 x^3 - 2
All of 4x+8 is under a cube root sign.
=====================================================
Work Shown:
To find the inverse, we swap x and y, then solve for y.
[tex]y = \frac{1}{4}x^3 - 2\\\\x = \frac{1}{4}y^3 - 2\\\\x+2 = \frac{1}{4}y^3\\\\4(x+2) = y^3\\\\4x+8 = y^3\\\\y^3 = 4x+8\\\\y = \sqrt[3]{4x+8}\\\\[/tex]
------------
Side note:
If [tex]f(x) = \frac{1}{4}x^3 - 2[/tex] and [tex]g(x) = \sqrt[3]{4x+8}[/tex], then [tex]f(g(x)) = x[/tex] and [tex]g(f(x)) = x[/tex]for all x values in the domain. Effectively, you use function composition to confirm that we have the correct inverse equation.
Which expressions are equivalent to 2(b+3c)2(b+3c)2, left parenthesis, b, plus, 3, c, right parenthesis ?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
3(b+2c)3(b+2c)3, left parenthesis, b, plus, 2, c, right parenthesis
(Choice B)
B
(b+3c)+(b+3c)(b+3c)+(b+3c)left parenthesis, b, plus, 3, c, right parenthesis, plus, left parenthesis, b, plus, 3, c, right parenthesis
(Choice C)
C
2(b)+2(3c)2(b)+2(3c)2,
Answer:
B. (b+3c)+(b+3c) C. 2(b)+2(3c)Step-by-step explanation:
Given this expression 2(b+3c), its equivalent expression is derived by simply opening up the bracket as shown below;
Open the parenthesis by multiplying the constant outside the bracket with all the variables in parenthesis.
= 2(b+3c)
= 2(b)+ 2(3c)
= 2b +2*3*c
= 2b +6c
It can also be written as sum of b+3c in 2 places i.e (b+3c)+(b+3c) because multiplying the function b+3c by 2 means we are to add the function by itself in two places.
Hence the equivalent expression are (b+3c)+(b+3c) and 2(b)+2(3c) or 2b+6c
Please answer quickly!
Answer:
T'(-1, -3)
U'(-8, -3)
V'(-9, -10)
W(1, -10)
Step-by-step explanation:
For each point, draw a segment from it to the line y = -x and perpendicular to the line, and extend it the same distance to the other side of the line.
T'(-1, -3)
U'(-8, -3)
V'(-9, -10)
W(1, -10)
Given the equation y = 2x + 3 what is the slope?
x
3
2
idk
Answer:
The slope is 2Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the question the equation is
y = 2x + 3
Comparing this equation with the general equation above
Slope / m = 2
Hope this helps you
Henry gathered data about the types of nuts in five handfuls of mixed nuts. The data he gathered is shown in the table. Select the points that represent this data.
Answer:
Look below.
Step-by-step explanation:
The location of the coordinate plane will be shown in the graph.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space.
Henry gathered data about the types of nuts in five handfuls of mixed nuts.
The data he gathered is shown in the table.
Handful Number of peanuts Number of other nuts
A 9 7
B 6 5
C 8 9
D 5 7
E 7 4
The graph is shown below.
More about the coordinate geometry link is given below.
https://brainly.com/question/1601567
#SPJ2
A sample of 500 g of radioactive lead-210 decays to polonium-210 according to the function A(t)=500e^-0.032t , where t is time in years. Find the amount of radioactive lead remaining after (a) 3yr, (b) 8yr, (c) 10 yr. (d) Find the half-life.
Answer:
Step-by-step explanation:
Using the equation A(t) = 400e-.032t
a) replace t with 4 so A(4) = 400e((-.032)(4))
The hardest part about this is making sure to use order of operations. Be certain it works like this:
A(4) = 400e-.128
A(4) = 400(.8799)
A(4) = 351.9 grams
b) A(8) = 400e((-.032)(8)) = 309.7 grams
c) A(20) = 400e((-.032)(20)) = 210.9 grams
Note here that even after 20 years, not quite half of the original amount is gone. So, we can anticipate that in finding the half life, that our answer should be slightly greater than 20 years.
d) 200 = 400e(-.032t)
Divide both sides of the equation by 400.
.5 = e(-.032t)
Change this to logarithmic form.
Ln .5 = -.032t
-.6931≈ -.032t
t ≈ 21.7 years
Hope this helps!
The amount of radioactive lead,
(a).After 3 years is 454.23 grams
(b).After 8 years is 387.07 grams
(c).After 10 years is 363.07 grams.
(d). half life is 21.66 years.
The decay of radioactive lead is given by function,
[tex]A(t)=500e^{-0.032t}[/tex]
The amount of radioactive lead After 3 years is,
[tex]A(3)=500e^{-0.032*3}=0.908*500=454.23g[/tex]
The amount of radioactive lead After 8 years is,
[tex]A(8)=500e^{-0.032*8}=500*0.774=387.07g[/tex]
The amount of radioactive lead After 10 years is,
[tex]A(10)=500e^{-0.032*10}=500*0.726=363.07g[/tex]
Half life is defined as the interval of time required for one-half of the atomic nuclei of a radioactive sample to decay.
So, [tex]250=500e^{-0.032t}[/tex]
[tex]e^{-0.032t}=0.5\\\\-0.032t=ln(0.5)\\\\-0.032t=-0.693\\\\t=0.693/0.032=21.66 years[/tex]
Learn more:
https://brainly.com/question/158534
What is this used for and how do i use it..?
you have to solve each one to get your answer and I think that your answer will be inside the circle
Answer:
This is called the Unit Circle. It is used in trigonometry. It had a radius of 1.
It helps you when using the trig function of sin cos and tan.
Hope this helps!!!!
Step-by-step explanation:
Anna's back Garden consists of a rectangular lawn measuring 9m by 7m, surrounded by a gravel path of width X metres. Find, and simplify, an expression for the total area of the garden.
A rectangular lawn measuring 8m by 4m is surrounded by a flower bed of uniform width.
The combined area of the lawn and the flower bed is 165m^2. What is the width of the flower
:
Let x = the width of flower bed
:
Then the overall dimensions (flower bed & lawn) will be:
(2x + 8) by (2x + 4)
:
Overall area
(2x+8)*(2x+4) = 165
FOIL
4x^2 + 8x + 16x + 32 = 165
A quadratic equation
4x^2 + 24x + 32 - 165 = 0
4x^2 + 24x - 132 = 0
Simplify, divide by 4, results:
x^2 + 6x - 33 = 0
Use the quadratic formula to solve this
+
If the
sides of a triangles are
6, 8 and n. how
many integer values of n
could be the
measure of the
third side of the triangle?
Answer:
11
Step-by-step explanation:
The sum of the shortest two sides must be greater than the longest side.
If n is the longest side:
6 + 8 > n
14 > n
If 8 is the longest side:
6 + n > 8
n > 2
So n must be an integer greater than 2 and less than 14.
n can be 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, or 13.
There are 11 possible integers.
[tex] \LARGE{ \boxed{ \rm{ \purple{Answer}}}}[/tex]
We know,
Sum of two sides of a triangle > Third side
Then,
⇛ 6 + 8 > n
⇛ 14 > n
Nextly,
Difference of two sides of a triangle < Third side
Then,
⇛ 8 - 6 < n
⇛ 2 < n
Then, Range of third side:
☃️ 2 < n < 14
Possible measures of 3rd sides = 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 or 13.
There are 11 possible values of 3rd side. Out of them, any measure is the length of 3rd side.
━━━━━━━━━━━━━━━━━━━━
Wait times at a dentist's office are typically 21 minutes, with a standard deviation of 2 minutes. What percentage of people should be seen by the doctor between 17 and 25 minutes for this to be considered a normal distribution?
Answer:
95%
Step by step explanation:
z = 17-21 / 2 and z = 25-21/2
z=-2 (2.28%) z=2 (97.72%)
97.72 - 2.28 = 5.44
100% - 5.44% is about equal to 95%
What is the slope of the line?
A) -1/3
B) 1/3
C) -3
D) 3
Answer:
Hey there!
A simple way to think about slope is rise over run. Between any two points on this line, the rise is 3, and the run is -1.
3/-1=-3, so the slope is -3.
Let me know if this helps :)
Could anyone help me with number 25 THANK YOU!!!
Answer:
ΔABC ~ ΔQPR by the Angle-Angle (AA) similarity theorem of two triangles
Step-by-step explanation:
The coordinates of the vertices are given as follows;
A = (1, 2), B =(9, 8), C = (1, 8)
P= (5, -3), Q = (-7, 6), R = (-7, -3)
The given dimensions of AB and PQ are 10, and 15 respectively
The, l lengths of the sides of triangles are found as follows;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
For segment BC, we have;
B =(9, 8), C = (1, 8)
(x₁, y₁) = (9, 8), (x₂, y₂) = (1, 8), substituting gives;
Length BC = 8
For length CA, C = (1, 8) A = (1, 2)
(x₁, y₁) = (1, 8)
(x₂, y₂) = (1, 2)
The length found by substituting the values for (x₁, y₁), (x₂, y₂) in the length equation gives; Length CA = 6
Given that length CA² + BC² = 8² + 6² = 64 + 36 = 100 = BA², we have by Pythagoras theorem, we have ΔABC is a right triangle
Similarly, for ΔQPR, we have;
Length QR, Q = (-7, 6), R = (-7, -3) = 9
Length PR, P= (5, -3), R = (-7, -3) = 12
QR² + PR² = 9² + 12² = 225 = 15² = PQ²
∴ ΔQPR is a right triangle
By comparing the ratio of the sides, we have;
cos(θ) = PR/PQ = 12/15 = 4/5, θ = cos⁻¹(4/5) = 36.9°
∠RPQ = 36.9°
sin(θ) = QR/PQ = 9/15 = 3/5
Similarly in triangle ΔABC, we have;
cos(θ) = BC/AB = 8/10 = 4/5
∠CBA = 36.9°
Therefore, ∠CBA ≅ ∠RPQ = 36.9°
Also ∠PRQ ≅ ∠BCA = 90° (Angle opposite hypotenuse side of right triangle
Therefore, ΔABC and ΔQPR are similar triangles by the Angle-Angle (AA) similarity theorem of two triangles.
Which data set matches the box-and-whisker plot?
A) 12 13 15 19 23 23 25 26.5 28 30
B) 15 13 19 21 23 24 27 29 32
C) 11 31 13 15 19 21 21 25 27 29 31
D) 11 13 15 19 23 23 24 26.5 28 33
Answer:
D) 11 13 15 19 23 23 24 26.5 28 33
Step-by-step explanation:
The box-and-whisker plot displayed above has the following key values that we can use to identify which of the given data set it matches. It has:
Minimum value = 11
Q1 = 15
Median = 23
Q3 = 26
Maximum value = 33
From the options given, using just the max and min value, we can conclude that the data set in option D matches the box plot.
The data set in option D has a minimum value of 11, and a maximum value of 33.
What is m
Round the answer to the nearest whole number.
O 30°
O 35°
O 55°
O 60°
Answer:
30
Step-by-step explanation:
fufyfuf7fjcjcufuy7fufucyyxyvkbuvufudydy shut up
Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.
square root of the quantity x minus 3 end quantity plus 5 equals x
Answer:
Step-by-step explanation:
[tex]\sqrt{x-3} +5=x\\\sqrt{x-3} =x-5\\squaring ~both~sides\\x-3=x^2-10x+25\\x^2-10x-x+25+3=0\\x^2-11x+28=0\\x^2-7x-4x+28=0\\x(x-7)-4(x-7)=0\\(x-7)(x-4)=0\\x=7,4[/tex]
put x=7 in the given equation
[tex]\sqrt{7-3} +5=7\\\sqrt{4} +5=7\\2+5=7\\7=7[/tex]
which is true .
∴ x=7 is a solution of the given eq.
now put x=4 in the given eq.
[tex]\sqrt{4-3} +5=7\\1+5=7\\6=7\\[/tex]
which is not true.
∴x=4 is an extraneous solution.
ASAP PLZ ANSWER!!! Can you tell me step by step to this question 8,595 ÷ 24?
Answer:
358 and remainder of 3
Step-by-step explanation:
1. Divide it like any other problem
24 goes into 85, 3 times with 13 left overBring down the 9 and 24 goes into 139, 5 times with 19 left overThen bring down the 5 and 24 goes inside 195, 8 times with 3 left overSo your remainder would be 3Hope this helps
Which of the following symbols could correctly finish the statement. Select all that apply. 0___-8 = ≠ > < ≥ ≤
Answer:
>
Step-by-step explanation:
Even though its 0 its still greater than any negative number.
Answer:
Step-by-step explanation:
When dividing polynomials using factorization, canceling identical factors in the denominator and the numerator will give the _______.
Answer:
quotient
Step-by-step explanation:
Answer:
quotient
Step-by-step explanation:
Cancelling identical factors in the numerator and the denominator will give the quotient. For example,x2+5x+6x+3=(x+2)(x+3)x+3 = x + 3
. Use the quadratic formula to solve each quadratic real equation. Round
your answers to two decimal places. If there is no real solution, say so.
a) x^2 - 5x + 11 = 0
b) -2x^2 - 7x + 15 = 0
c) 4x^2 - 44x + 121 = 0
Answer:
A. No real solution
B. 5 and -1.5
C. 5.5
Step-by-step explanation:
The quadratic formula is:
[tex]\begin{array}{*{20}c} {\frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}} \end{array}[/tex], with a being the x² term, b being the x term, and c being the constant.
Let's solve for a.
[tex]\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {5^2 - 4\cdot1\cdot11} }}{{2\cdot1}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {25 - 44} }}{{2}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {-19} }}{{2}}} \end{array}[/tex]
We can't take the square root of a negative number, so A has no real solution.
Let's do B now.
[tex]\begin{array}{*{20}c} {\frac{{ 7 \pm \sqrt {7^2 - 4\cdot-2\cdot15} }}{{2\cdot-2}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c} {\frac{{ 7 \pm \sqrt {49 + 120} }}{{-4}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c} {\frac{{ 7 \pm \sqrt {169} }}{{-4}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c} {\frac{{ 7 \pm 13 }}{{-4}}} \end{array}[/tex]
[tex]\frac{7+13}{4} = 5\\\frac{7-13}{4}=-1.5[/tex]
So B has two solutions of 5 and -1.5.
Now to C!
[tex]\begin{array}{*{20}c} {\frac{{ -(-44) \pm \sqrt {-44^2 - 4\cdot4\cdot121} }}{{2\cdot4}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c} {\frac{{ 44 \pm \sqrt {1936 - 1936} }}{{8}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c} {\frac{{ 44 \pm 0}}{{8}}} \end{array}[/tex]
[tex]\frac{44}{8} = 5.5[/tex]
So c has one solution: 5.5
Hope this helped (and I'm sorry I'm late!)
Carey earns $9.75 working part time on weekends. The table below shows the amount, a, Carey earns for working h hours. Carey’s Earnings h 0 1 3 a $0 $9.75 ? Which value completes the table to show the amount Carey earns for working 3 hours?
Answer:
$29.25
Step-by-step explanation:
For every 1 hour, Carey earns $9.75. Multiply $9.75 by 3 to find out how much she earns for 3 hours of work.
$9.75 × 3 = $29.25
Carey earns $29.25 for working 3 hours.
Answer:
29.25
Step-by-step explanation:
I got it right on edge!! trust me
Helppp meeeew pleaseeeee
Answer:
Hey there!
1 1/10=1.1
2/25=0.08
Each serving requires 0.08 kg, and he has 1.1 kg.
Thus, he can make 1.1/0.08, or 13.75 servings.
Let me know if this helps :)
Answer:
13 servings of tofu dish.
Step-by-step explanation:
First, convert the fractions to decimal numbers:
1 1/10 kg = 0.1 kg
2/25 kg = 0.08 kg
Now find how many servings of tofu dish will cover 0.1 kg of tofu:
2/25 kg = 1 serving
1 1/10 kg = ?
= 1 1/10 ÷ 2/25 kg
= 11/10 × 25/2
= 55/4
= 13.75 servings
Approximate it to a whole number:
13 servings.
write a equation of a line that has a slope of 5 and passes through the point (2,13)
Answer:
y = 5x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 5, thus
y = 5x + c ← is the partial equation
To find c substitute (2, 13) into the partial equation
13 = 10 + c ⇒ c = 13 - 10 = 3
y = 5x + 3 ← equation of line
Find the value of x.
76
-7p+2(5p-8)=6(p+6)-7
Answer:
-15
Step-by-step explanation:
-7p+10p-16=6p+36-7
3p-16=6p+29
3p-6p=29+16
-3p=45
p=45/-3
p=-15
An octagonal pyramid ... how many faces are there, how many vertices and how many edges? A triangular prism ... how many faces are there, how many vertices and how many edges? a triangular pyramid ... how many faces are there, how many vertices and how many edges?
1: 8 faces and 9 with the base 9 vertices and 16 edges
2: 3 faces and 5 with the bases 6 vertices and 9 edges
3: 3 faces and 4 with the base 4 vertices and 6 edges
1: 8 faces and 9 with the base 9 vertices and 16 edges
2: 3 faces and 5 with the bases 6 vertices and 9 edges
3: 3 faces and 4 with the base 4 vertices and 6 edges
