The owner of the Texans football team wants to paint their red, white, and blue logo on the side of a building at their training facility. However, the existing paint, which would comprise the background for the logo, is beginning to deteriorate. The owner is considering re-painting the building with a special weatherproof paint prior to adding the logo. If the special background paint costs $1.25 per square foot, how much money will the owner have to spend on the paint for the background
Answers
Answer:
$393.75
Step-by-step explanation:
cost of special background paint = $1.25 per square foot
Area of background = area of triangle + area of rectangle
= 1/2 ( b*h) + L * B
= 1/2 ( 5 * 6 ) + 5 * 4 = 15 + 20 = 35 yd^2
Given that 1 yd^2 = 9 ft^2
35 yd^2 = ( 9 * 35 ) ft^2
Hence area of background = 315 ft^2
Cost = 315 * 1.25 = $393.75
Related Questions
At a peace summit, seven Hatfield and nine McCoy family
members sit down for a meeting. If the Sheriff orders two
randomly selected participants to shake hands at the end of
the meeting, what is the probability that the two are from
different families?
Answers
Answer:
0.525 = 52.5% probability that the two are from different families.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem, the order in which the two participants are selected is not important, so we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
1 from the Harfield family(from a set of 7).
1 from the McCoy family(from a set of 9). So
[tex]D = C_{7,1}*C_{9,1} = \frac{7!}{1!6!}*\frac{9!}{1!8!} = 7*9 = 63[/tex]
Total outcomes:
2 from a set of 16. So
[tex]T = C_{16,2} = \frac{16!}{2!14!} = 120[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{63}{120} = 0.525[/tex]
0.525 = 52.5% probability that the two are from different families.
Brie needs cups of flour for her recipe. Which amount is enough for Brie's recipe?
Answers
Answer:
2[tex]\frac{1}{2}[/tex] cups
Step-by-step explanation:
Hi there,
When dealing with these types of problems, it is highly recommended to set the same denominators for the fractions you are dealing with. In this problem, we can see that 2[tex]\frac{1}{2}[/tex] is equivalent to [tex]\frac{5}{2}[/tex]; making this the correct answer choice.
Hope this explanation helps.
Cheers.
What is the area of the circle with the radius of 5? Round to the nearest tenth.
Answers
Answer:
Step-by-step explanation:
area of circle=π(5)²=25 π≈25×3.14≈78.5
Answer:
A≈78.54
Step-by-step explanation:
A=πr2=π·52≈78.53982
Also i left this out but the radius of the circle is 5.
Chill im only a 7th grade nerd studying in Real Estate and Finances
Also hopes this helps ;0
A rectangular swimming pool has a width of 42 ft and a diagonal of 70 ft. Find the length of the pool.
Answers
Answer:
56 feet.
Step-by-step explanation:
The formula for finding the length of a rectangle, given the diagonal and the width is [tex]\sqrt{d^2 -{w^{2}[/tex]. So, [tex]\sqrt{4900 - 1764[/tex]. If you put this thing in the calculator you get 56.
if Mike Burns 220 calories in 20 minutes and 275 calories is in 25 minutes 385 calories in 35 minutes how much calories did he burn in 29 minutes
Answers
Answer:
319 calories
Step-by-step explanation:
Steps to answering this question :
Determine the amount of calories burnt per minute Multiply the answer gotten in the above step by 29 minutes to determine the total calories burnt in 29 minutesCalories burnt per minute = total calories / minutes
220 / 20 = 11 calories
275 / 25 = 11 calories
385 / 35 = 11 calories
11 calories is burnt per minute
Total calories burnt in 29 minutes = calories burnt per minute x 29 minutes
11 x 29 = 319 calories
319
A cube with a surface area of 54 square centimeters is shown.
Twelve cubes like the one shown are combined to create a larger cube. What is the volume, in cubic centimeters of the new cube?
Answers
Answer:
54 cm
Step-by-step explanation:
they are the same i think
Can someone help me please with three questions? 31, 35 and 37?
Answers
Answer: Simplified
31. 13a2 + 10a
35. 9a2 - 21a + 12
37. 2x2 - 8x
Step-by-step explanation:
find the volume of the cone. make sure to round
Answers
Answer: 333.29
V= ⅓Bh is how you would do it
Below, the two-way table is given for a class of students. Juniors Seniors Free Freshmen Sophomore Male 4 6 2 2. Female 3 4 6 3 Total If a student is selected at random, find the probability the student is a junior given that it's male. Round to the nearest whole percent.
Answers
Answer:
[tex]Pr = 7\%[/tex]
Step-by-step explanation:
Given
See attachment for graph
Required
Find P(Junior|Male)
To do this, we first calculate the total students.
[tex]Total = 4 + 6 + 2 + 2 + 3 + 4 + 6 + 3[/tex]
[tex]Total = 30[/tex]
Next, select the value in the cell that intersects Male and Junior
[tex]Male\ and\ Junior = 2[/tex]
Hence, the probability is
[tex]Pr = \frac{Male\ and\ Junior}{Total}[/tex]
[tex]Pr = \frac{2}{30}[/tex]
[tex]Pr = 0.067[/tex]
Express as percentage
[tex]Pr = 0.067*100\%[/tex]
[tex]Pr = 6.7\%[/tex]
Approximate
[tex]Pr = 7\%[/tex]
Answer:
14%
Step-by-step explanation:
2(junior males) out of 14 (the total of males) is 14.29%, which is rounded to a whole percent of 14%. Hope this helps!
p.s. (I was on the same problem on acellus and figured it out. It took forever though)
what are the answers?
Answers
Answer
1. B 2. D
Step-by-step explanation:
1. 5/18 x 6= 1.6 and 2. its the last two numbers were larger.
If a gold ring has a sale price of $21, what was the original price?
There was a sale that was 30% off.
Answers
Answer:
27.30
Step-by-step explanation:
Please help. We are stuck on this one question. Thank you
Answers
Answer:
D
Step-by-step explanation:
All the x and y values have a proportion of 5:1
Answer:
D
Step-by-step explanation:
Proportional relationship means there is a common difference between X and Y. That is only present in D, where x/5 = y.
X Y
5/5 = 1
10/5 = 2
15/5 = 3
20/5 = 4
25/5 = 5
simplify:(-5/8x3/7x4/-15)+(4/7x-21/8)
Answers
Answer:
4x/7 - 143/56
Step-by-step explanation:
Given the function f(x) = 5x2 - 3x + 2, what is f(2)?
Answers
Answer:
f(2) means you substitute 2 with x in the function f(x) = 5x^2 - 3x + 2
Step-by-step explanation:
f(2) = 5(2)^2 - 3(2) + 2
f(2) = 5(4) - 6 + 2
f(2) = 16
If 2^2x = 2^3, what is the value of x?
Answers
Answer:
x = 2
Step-by-step explanation:
In a sample of 800 people, 420 are in favor of a proposed scoring system. A golf course wants to implement an electronic scoring system where shots are counted by satellites to reduce human error and to show real-time scores at the clubhouse. Is there enough evidence to conclude that the majority of the golfing community is a proponent of the new system at an alpha level of .05. Determine the number of tails for this problem, the critical value and the test statistic.
Answers
Answer:
We accept H₀ with 95 % of Confidence Interval we have enough evidence to conclude that the majority of members agree with the new system
Step-by-step explanation:
Sample size 800
Sample x₁ = 420 ( number of people in favor of a proposed scoring system), then
p₁ = 420/800 p₁ = 0,525 p₁ = 52,5 % then
q₁ = 1 - p₁ q₁ = 1 - 0,525 q₁ = 0,475
Sample size enought to use the approximation of the binomial didtribution to normal distribution
If significance level is 0,05 α = 0,05
and from z-table we look for z(c) ( z critical value)
z (c) = 1,64
Hypothesis Test:
Null Hypothesis H₀ p₁ = 0,5
Alternative Hypothesis Hₐ p₁ > 0,5
Alternative hypothesis tells us about a one tail-test to the right
To calculate
z(s) = ( p₁ - 0,5) / √ (p₁*q₁) / n
z(s) = 0,025 / √ 0,525*0,475/800
z(s) = 0,025 / √0,000311
z(s) = 0,025/0,01765
z(s) = 1,416
Comparing z(c) and z(s)
z(s) < z(c) 1,416 < 1,64
z(s) is in the acceptance region we accep H₀.
Which is equivalent to the series shown?
12
Which expansion is equivalent to the summation
shown?
12
12
20 Σ
1
n=9 n=9
n +
n=9
X
1 1 1 1
20+9+10+11+12+
9 10 11 12
-
Σ (20n +
+
Ź 201n+ )
20
n
n-9
x
1
1
-
1
11
1
12
20(9 + 10 +11+12) +.
9 10
2019 +10 +1
X
1 1 1
20 9+10 +11+12+
9 10 11 12
n +
n-9
12 12
1
12 + 20
n
n=9 n-9
12 12
1
n+
n-9 n=9n
1 1 1
9+10+11+12+ 20
9 10 11 12
20Σ
COMPLETE
Na
Intro
Final
Answers
Answer:
please I don't know
Step-by-step explanation:
please I don't know
please give me another question
Answer: 1st part is D, and 2nd part is B
Step-by-step explanation: Got them on edge
Escribe en forma de potencia y encuentra el valor
a) 2⁴ . 2² =
b) (-5)⁸/(-5)³=
c) ((-9)² )3³
Answers
Answer:
a) =2^(4+2)
=2^6
=64
b) =(-5)^(8-3)
=(-5)^5
= - 3125
c) =(81)(27)
=2187
using the figure below complete the proof. Which of the following sequence of reasons may be used to fill the blanks in the two-columns proof above?
Answers
Answer: Definition of parallelogram, ASA Theorem, CPCTC
Step-by-step explanation:
I just did the math nation and I go that question correct
Answer: Definition of parallelogram, ASA Theorem, CPCTC
Step-by-step explanation:
i got it right
PLEASE HELP URGENT ILL GIBE BRANLIEST
Answers
Answer:
A 1.85
Step-by-step explanation:
cos 72 = 6/x
x cos 72 = 6
x = cos 72/6 = 1.84
Answer:
A
Step-by-step explanation:
1.84
pls help me i suck at math and i really need this done.
Answers
Answer:
1.x²+x-2
=x²+2x-x-2
=x(x+2)-1(x+2)
=(x+2)(x-1)
2.
(x²+x-2)/(x-1)
={x²+2x-x-2}/(x-1)
={x(x+2)-1(x+2)}/(x-1)
={(x+2)(x-1)}/(x-1)
=(x+2) true
QRST is an isosceles trapezoid and m
Answers
Answer:
B. [tex] \huge \red {\boxed { 64\degree}} [/tex]
Step-by-step explanation:
QRST is an isosceles trapezoid (Given)Measures of base angles of an isosceles trapezoid are equal. RS || QT and, ST and RQ are transversals.[tex] \therefore m\angle S = m\angle R[/tex]
[tex] \because m\angle R= 116\degree [/tex]
[tex] \therefore m\angle S= 116\degree [/tex]
[tex] m\angle S + m\angle T = 180\degree [/tex]
(angles on the same side of transversal)
[tex] 116\degree + m\angle T = 180\degree [/tex]
[tex] m\angle T = 180\degree - 116\degree [/tex]
[tex] \huge \purple {\boxed {m\angle T = 64\degree}} [/tex]
A culture of bacteria has an initial population of 89000 bacteria and doubles every 8 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 11 hours, to the nearest whole number?
Answers
Answer:
230837
Step-by-step explanation:
What is the area of triangle HGF? Round your answer to the nearest tenth of a square centimeter. Recall that you need to round up if the value of the hundredth is 5 or greater?
Answers
Answer:
[tex] 9.75 \: {cm}^{2} [/tex]
Step-by-step explanation:
[tex]A(\triangle HGF) = \frac{1}{2} \times 6.5 \times 3.0 \\ \\ = 6.5 \times 1.5 \\ \\ = 9.75 \: {cm}^{2} [/tex]
if the nth term of a number sequence is n squared-3 if the first 3 terms and the 10th term
Answers
Answer:
First three terms: -2, 1, 6
Tenth term: 97
Step-by-step explanation:
Given
[tex]T_n =n^2 -3[/tex]
Required
The first three terms and the tenth
So, we have:
First term: n =1
[tex]T_1 = 1^2 - 3 = 1 - 3 = -2[/tex]
Second term: n = 2
[tex]T_2 = 2^2 - 3 = 4 - 3 = 1[/tex]
Third term: n = 3
[tex]T_3 = 3^2 - 3 = 9 - 3 = 6[/tex]
Tenth term: n = 10
[tex]T_{10} = 10^2 - 3 = 100 - 3 = 97[/tex]
This is an isosceles trapezoid.
R.
S
75
N
Х
Y У
T
U
z =
[?]
Enter the number that belongs in
the green box.
Enter
Answers
Answer:
75
Step-by-step explanation:
it would be the same as it opposite side S because they are the same
What is m<1? Help please
Answers
Answer:
139
Step-by-step explanation:
Inside angles of a triangle = 180 degrees
61 + 78 = 139
180 - 139 = 41
unknown interior angle = 41 degrees
So m<1 = 139
(Or just add the two interior angles together)
A hang glider dropped his cell phone from a height of 450 feet. How many seconds did it take for the cell phone to reach the ground?
Answers
Answer:
t = 9.58 s
Step-by-step explanation:
Given that,
The height from where the cell phone is dropped, h = 450 feet
We need to find the time for the cell phone to reach the ground. Let the time be t. Using second equation of kinematics to find it.
[tex]h=ut+\dfrac{1}{2}at^2[/tex]
u is initial velocity, u = 0
a = g
So,
[tex]h=\dfrac{1}{2}at^2\\\\t=\sqrt{\dfrac{2h}{g}} \\\\t=\sqrt{\dfrac{2\times 450}{9.8}} \\\\t=9.58\ s[/tex]
So, it will take 9.58 seconds to reach the ground.
divide the polynomial (x^2 + 3x + 5) by 2x + 1
Answers
Answer:
50888888888888888888+++++
The following data set shows the number of project points each student in a class earned last week.
68, 84, 86, 74, 58, 82, 82, 96, 78, 96, 70, 78, 98, 80, 94, 96, 64, 82, 74, 78, 96. W
Which dot plot correctly displays this data?
Answers
Answer:
D
Step-by-step explanation:
I think its correct
Answer:
C.
Step-by-step explanation: