The cost of building a storage house is $89,600.
Area of rectangle:
Area of the rectangle is defined as the amount of space covered by a flat surface of a particular shape.
The formula for the area of the rectangle is,
Area of a Rectangle = (Length × Breadth) square units
Given,
The cost of building a storage house is $70 per square foot flooring.
Length = 10 feet
Width = 12 feet
Height = 8 feet.
Here we need to find the cost to build a storage house.
To find the cost of the storage,
First, we have to find the area of the storage house,
Apply the values on the formula, to find the area of the storage house,
=> A = 10 x 12
=> A = 120 square foot.
So, the cost of building the storage house is,
=> 120 x 70
=> 89600.
Therefore, the cost for building the storage is $89,600.
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(1-tan4 A) cos4 A = 1-2 sin² A
Step-by-step explanation:
You want to demonstrate the identity ...
(1-tan⁴(A))·cos⁴(A) = 1 -2·sin²(A)
Working with the left side, we have ...
[tex](1-\tan^4(A))\cos^4(A)=1-2\sin^2(A)\\\\(1-\dfrac{\sin^4(A)}{\cos^4(A)})\cos^4(A)=1-2\sin^2(A)\qquad\text{use tangent identity}\\\\\cos^4(A)-\sin^4(A)=1-2\sin^2(A)\qquad\text{multiply it out}\\\\(\cos^2(A) +\sin^2(A))(\cos^2(A)-\sin^2(A))=1-2\sin^2(A)\qquad\text{factor}\\\\1((1-\sin^2(A))-\sin^2(A)) = 1-2\sin^2(A)\qquad\text{use $\cos^2$ identity}\\\\1-2\sin^2(A)=1-2\sin^2(A)\qquad\text{Q.E.D.}[/tex]
__
Additional comment
The referenced identities are ...
tan = sin/cos
cos² = 1 -sin²
and the factorization of the difference of squares:
a² -b² = (a +b)(a -b).
how many days on earth, in decimal form, are equivalent to 9 1/2 years on venus
One year on Venus is 225 days on Earth.
Multiply that by 9 1/2.
The answer you get is 2137.5
9 1/2 years on Venus years is equivalent to 2137.5 days on Earth.
There are 9 1/2 years on Venus years is equivalent to 2137.5 days on Earth, the answer would be 2137.5 days.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
Equivalent to 9 1/2 years on venus.
Let the number of days on earth is x:
One year on Venus is 225 days on Earth.
= (225)(9 1/2)
= (225x19)/2
= 2137.5 days
Thus, there are 9 1/2 years on Venus years is equivalent to 2137.5 days on Earth, the answer would be 2137.5 days.
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Combine the like terms to create an equivalent expression
-4r-2r+5
Answer:
-6r+5
Step-by-step explanation:
Combining the like terms
⇒-4r-2r+5
⇒-6r+5
Write the decimal equivalents of these two fractions: and .
The decimal equivalent of is
, and the decimal equivalent of is
.
The fraction 1/8 in decimal form is 0.125, and the fraction 3/4 in decimal form is 0.75.
Given two fractions are there 1/8 and 3/4?
We have to calculate those fractions into decimal form as below.
1/8 3/4
= 8) 10 (0.125 = 4) 30 (0.75
8 28
------- ---------
20 20
16 20
-------- ------------
40 0
40
---------------
0
Therefore, the fraction 1/8 in decimal form is 0.125, and the fraction 3/4 in decimal form is 0.75.
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The question is incomplete. Please find the complete question below:
Write the decimal equivalents of these two fractions: 1/8 and 3/4
The decimal equivalent of 1/8 is 1.25, 0.125, or 0.0125, and the decimal equivalent of 3/4 is 7.5, 0.75, or 0.075
What is the sign of
−289 + 311?
Answer:
it is positive
Step-by-step explanation:
-289+311=22 which is a positive number
find the perimeter of ABC with vertices A(-4,4), B(2,-2), and C(-4,-2). Round your answer to the nearest hundredth.
The perimeter of ABC with vertices A(-4,4), B(2,-2), and C(-4,-2) is 20.848 units.
We are given the vertices:
A(-4,4), B(2,-2), and C(-4,-2).
We need to find the perimeter of ABC.
AB = √ ( 2 + 4)² + (-2 - 4)²
AB = √ 6² + 6²
AB = √72
AB = 6 √2 units
BC = √ (-4 - 2)² + ( -2 + 2)²
BC = √ 6²
BC = 6 units
AC = √ ( -4 + 4)² + (-2 - 4)²
AC = √ 6²
AC = 6 units.
Perimeter = AB + BC + AC
Perimeter = 6 √2 + 6 + 6 units
Perimeter = 12 + 6 √2 units.
Perimeter = 12 + 6(1.414) units
Perimeter = 12 + 8.848 units
Perimeter = 20.848 units
Therefore, the perimeter of ABC with vertices A(-4,4), B(2,-2), and C(-4,-2) is 20.848 units.
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Please help!! Will mark brainliest
Answer:
100°
meron po bang D Wala namn ah
What does it mean for a sample to have a standar deviation of zero? describe the scores in such a sample
Given that sample standard deviation is zero. This indicates that the variance of sample is also zero as square of sample standard deviation is sample Variance. Variance is average of the squared deviations from mean. As shown in below formula
Since Variance = 0 , we substitute in formula and we get the sum of squares of deviations of all data points from mean should be zero. This is only possible if and only if all the data points in the data distribution are same as mean of the data distribution. In the case the variance and standard deviation will be zero.
Variance = Summation n to i = 1 [tex]\frac{(X_{1-X} )^2}{n-1}[/tex]
0 = Summation n to i = 1[tex]\frac{(X_{1-X} )^2}{n-1}[/tex]
Summation n to i [tex]{(X_{1-X} )^2[/tex] = 0
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Jason is collecting coins from different countries around the world. He currently has coins from 99 countries and plans to add 4 new countries to his coin collection each week. At this rate how many weeks (w) will it take Jason to have coins from all 195 countries?
Equation:
Solution:
Final Answer:
???
The number of weeks that it will take Jason to have coins from all 195 countries is 24 weeks.
How to calculate the equation?It should be noted that an equation is simply used in Mathematics to show the relationship the exist between different variables.
Let the number of weeks be represented by w.
Therefore, based on the information, the appropriate equation will be:
99 + (4 × w) = 195
99 + 4w = 195
4w = 195 - 99
4w = 96
Divide
w = 96/4
w = 24
Therefore, based on the calculation illustrated above, the number of weeks that it will take Jason to have coins from all 195 countries is 24 weeks.
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in a sample of 200 households, the mean number of hours spent on social networking sites during the month of january was 55 hours. in a much larger study, the standard deviation was determined to be 7 hours. assume the population standard deviation is the same. what is the 99% confidence interval for the mean hours devoted to social networking in january? (2 points) the 99% confidence interval ranges from 53.73 to 56.27 hours. the 99% confidence interval ranges from 7 to 55 hours. the 99% confidence interval ranges from 54.51 to 55.49. the 99% confidence interval ranges from 55 to 60 hours.
The correct option is A) The 99% confidence interval ranges from 53.73 to 56.27 hours.
The 99% confidence interval for the mean hours devoted to social networking in January ranges from 53.73 to 56.27 hours.
What is confidence interval?In statistics, a confidence interval denotes the likelihood that a population parameter would then fall between two specified values.
A confidence interval is a set of values bounded both above and below the mean of a statistic that are likely to contain an unknown parameter. The proportion of probability, or predictability, that the confidence interval will contain the real population parameter when a random sample is drawn many times is referred to as the confidence level.sample size 'n' =200
Mean 'x' = 55 hours
Standard deviation (Population) = 7 hours
For 99% confidence level
Z critical value = 2.58
Margin of error = ±2.58(std error)
Now, compute the standard error
Standard error = 7/√n
=7/√200
= 0.495
Thus, margin of error = ±0.495(258) = 1.28
Now, calculate the Confidence interval;
Confidence interval = (55 - 1.28, 55 + 1.28)
= (53.72, 56.28)
Confidence interval = (53.73, 56.27) [approx.]
Therefore, the confidence level lies between 53.73, 56.27) [approx.]
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The correct question is-
In a sample of 200 households, the mean number of hours spent on social networking sites during the month of January was 55 hours. In a much larger study, the standard deviation was determined to be 7 hours. Assume the population standard deviation is the same. What is the 99% confidence interval for the mean hours devoted to social networking in January?
A) The 99% confidence interval ranges from 53.73 to 56.27 hours.
B) The 99% confidence interval ranges from 7 to 55 hours.
C) The 99% confidence interval ranges from 54.51 to 55.49 hours.
D) The 99% confidence interval ranges from 55 to 60 hours.
Find the perimeter of a rectangle with a length of 9 yards and a width of 6 yards.
Answer:
30 yards
Step-by-step explanation:
9+9+6+6=30yards
A cylindrical vase has a diameter of 6 inches and a height of 8 inches. The vase already contains 20 cubic inches of water. A faucet can fill the vase at
a rate of 8 cubic inches per second.
To the nearest second, how long will it take the faucet to fill the vase? Enter the answer in the box.
Use the info
seconds
In 25.76 seconds we will fill the total volume of the cylinder.
how long will it take the faucet to fill the vase?The total volume of the cylinder is given by the equation:
V = pi*R^2*H
Where pi = 3.14, R is the radius and H is the height.
Here we know that the diameter is 6 inches, then the radius is:
R= 6in/2 = 3in
And the height is 8 inches, then the volume is:
V = 3.14*(3in)^2*8in = 226.08 in^3
We already have 20 cubic inches of water there, so what we need to fill is:
226.08 in^3 - 20in^3 = 206.08in^3
If we fill it at a rate of 8in^3/s, the time in which we will completely fill the cylinder is:
T = 206.08in^3/8in^3/s = 25.76s
In 25.76 seconds we will fill the total volume of the cylinder.
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Jim picks a number. he doubles that number, then adds 5, and gets 41 as his result. what was the original number jim picked?
Answer: 18
Step-by-step Explanation:
Subtract: 5 from 41 | 41-5= 36
Divide: by 2 | 36/2= 18
Answer:18
Step-by-step explanation:
SUBTRACT41 FROM 5
THAT GIVES YOU 38
THEN DIVIDE 38/2 AND IT WILL GIVES 18
Find the value of each of the following by using prime factorisation.
(b) 13824
Answer:
Here in the picture is the prime factorisation of 13824
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△FGH represents an artist's initial work on a design for a new postage stamp. What must be the values of x, y, and z in order for the artist's stamp to be congruent to △ABC?
The values of x, y, and z in order for the artist's stamp to be congruent to △ABC is 15, 6, and 4 respectively
Given data
The two triangle that has the values are attached:
How to find the value of x, y, and z to make the triangles congruentThe value of x
( 2x + 6 ) mm = 36 mm
2x mm = ( 36 - 6 ) mm
2x mm = 30 mm
x = 30 / 2 mm
x = 15 mm
The value of y
( 6y ) mm = 36 mm
y = 36 / 6 mm
y = 6 mm
The value of z
( 3z + 39 ) mm = 51 mm
3z mm = ( 51 - 39 ) mm
3z mm = 12 mm
z = 12 / 3 mm
z = 4 mm
Therefore, the values of x, y, and z in order for the artist's stamp to be congruent to △ABC is 15, 6, and 4 respectively
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complete question
The complete question is attached
un mesero gana $5 la hora, el sábado ganó $108 en propinas. si él hizo $128 En total cuántas horas trabajo? escribe una ecuasion y responde.
The waiter worked for 4 hours.
The waiter earns $5 an hour.The waiter earned $108 in tips. The waiter made $128 in total.The earnings of the waiter, excluding tips, are total minus the tips.The earnings of the waiter, excluding tips, are $128-$108.The earnings of the waiter, excluding tips, are $20.The Earnings Rate is the amount for each fund computed for each business day that represents the net rate of gain or loss on the assets of that fund.The earnings of the waiter due to work = number of working hours * Earning rate20 = Number of working hours * 5The number of working hours is 20/5.The number of working hours is 4 hours.To learn more about rate, visit :
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answer this question
Work Shown:
f(x) = -x - 6
f(-x) = -(-x)-6
f(-x) = x-6
g(x) = f(-x)
g(x) = x-6
Explanation:
I replaced every x with -x to reflect the point over the y axis.
For example, the point (2,3) reflects to (-2, 3)
ST
Problem number 26 of the Rhind Papyrus says:
Find a quantity such that when it is added to of itself
the result is a 15.
The modern day equation that models this problem is
x+x=15.
What is the solution to the equation?
O x = 10
x = 12
x = 15
x = 30
Step-by-step explanation:
please make sure that fractions are still in the problem text after scanning it.
because they are missing here, and I have to guess around.
Basically the problem is
x + 1/a × x = 15
that means
ax + x = 15a
(a+1)x = 15a
x = 15a/(a+1)
for a = 2 (so, 1/2 x is added to x), we get
x = 15×2/3 = 30/3 = 10
for a = 4 (1/4 of x is added to x), we get
x = 15×4/5 = 60/5 = 12
these are also the first 2 answer options. so, please pick the one that fits the complete problem definition.
the 3rd and 4th answer options are nonsense anyway, as when you add something greater than 0 to x and get 15, then the initial x cannot be already 15 or even bigger.
If p(a | b) = 0.4, p(b) = 0.8, and p(a) = 0.5, are the events a and b independent?
The events A and B are not independent.
Given that,
P(A|B) = 0.4
P(A) = 0.5
P(B) = 0.8
Two events A and B are said to be independent, if P(A∩B) = P(A) P(B)
We have, P(A|B) = P(A∩B)/P(B)
Therefore, P(A∩B) = P(A|B) P(B) = 0.4 x 0.8 = 0.32
Now P(A) P(B) = 0.5 x 0.8 = 0.4
So P(A∩B) ≠ P(A)P(B)
Therefore, the events A and B are not independent.
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Help? fraction multiplication as scaling AYUDA HELP
Answer:
1) 1/2 × 3/5 = 45/150
2) 5/5 × 3/5 = 90/150
3) 2 2/3 × 3/5 = 1 90/150
Explanation below
Explanation belowHope this helps :)
Step-by-step explanation:
1/2 × 3/5 = 3/10
2 2/3 × 3/5 = 8/3 × 3/5 = 24/15
5/5 × 3/5 = 15/25
We need to find the Least Common Multiple (LCM) to order them from least to greatest.
The LCM is 150.
3/10 = 45/150
24/15 = 1 9/15 = 1 90/150
15/25 = 90/150
So the order from least to greatest is ...
1) 1/2 × 3/5 = 45/150
2) 5/5 × 3/5 = 90/150
3) 2 2/3 × 3/5 = 1 90/150
which value is an irrational number? a. 4/19 b. the square root of 200 c. the square root of seven over the square root of seven d. -0.58 repeated
Answer:
B. √200
Step-by-step explanation:
An irrational number is a number that excludes single-point decimals but includes integers and fractions. A square root is a repeating decimal(Most of the time), therefore, this is an irrational number.
The table below represents the amount, in grams, of a substance remaining after t years.
Answer:
D
Step-by-step explanation:
The equation we'd use for this problem is y=a(1-b)^x (exponential decrease)
a is the initial amount, the number in the parentheses is the amount it decreases by, and x is time.
The initial amount is 8,500 since that is what we start with after 0 years. By looking at the chart we can see that the number decreases over time by a constant rate of .5, so that is the number in the parentheses. You then end the equation with ^t since t would be time in years
:D
solve the following quadratic equations by using square roots
(x-2)² = 0
(x-2)² =36
9a²-100 =0
Answer:
Step-by-step explanation:
no solution
Find the value of x, given that m4 POS = 119°.
Answer: x=4.7°
Step-by-step explanation:
[tex]m\angle PQS=119^0\\\angle PQR+\angle RQS=\angle PQS\\72^0+(10x)^0=119^0\\72^0+(10x)^0-72^0=119^0-72^0\\10(x^0)=47^0\\[/tex]
Divide both parts of the equation by 10:
[tex]x=4.7^0[/tex]
Each figure shows a triangle with one of its angle bisectors.
Can someone help me
Hassan's soccer team is trying to raise $688 to travel to a tournament in Florida, so they decided to host a pancake breakfast. Each person must pay $43 for the breakfast. How many people need to attend their breakfast in order to raise $688?
Answer: 182
Step-by-step explanation:
*PLS HELP*
Drag and drop each verbal phrase next to the algebraic expression that models it.
the base salary of an employee and a 6%
salary increase
x+0.06x=1.06x
x-0.60x=0.40x
x+0.60x= 1.60x
the number of students attending school
last year and a 60% increase from last year
ix-0.06x=0.94x
the cost of groceries and a 6% discount
with coupons
the price of a winter coat and a 60%
discount
Answer:
1st Question: The answer is the bottom left
2nd Question: The answer is the bottom right
3rd Question: The answer is the top left
4th Question: The answer is the top right.
Step-by-step explanation:
Please help need to finish in an hour!
your question is wrong to make sure
Hot tea is around 181 degrees Fahrenheit, and the room temperature is 72 degrees Fahrenheit. The rate of the hot tea cooling on a desk in the room is about 6.5% every minute. You need to determine how hot the tea will be after t minutes? Which function models this situation?
The function that models the given situation is; f(x) = 109(0.935)^(t) + 72
How to interpret function models?
We are given that;
Temperature of hot tea = 181°F
Room temperature = 72°F
Rate of the hot tea cooling on a desk in the room = 6.5% every minute
We know that an exponential function is of the form of;
y = A(r)^(x)
where;
A is the initial value.
r is the rate of increase/decrease in decimals.
Thus, our initial value is;
A = 181 - 72 = 109
The rate of increase/decrease in decimals = 1 - (6.5%) = 0.935
Since the room temperature is 72 degrees Fahrenheit, then the function is;
f(x) = 109(0.935)^(t) + 72
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How many whole numbers lie between 237 and 143?
Answer:
93
Step-by-step explanation:
143 —————>233 = 90
233 —————>237 = 3
90 + 3 = 93
The number of the whole numbers lying between 237 and 143 will be 94.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Zero, a consistently positive number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive values are negative in value. The set of integers is frequently represented in mathematical notation by the big bold letters Z.
The number of the whole numbers lying between 237 and 143 will be given by the subtraction of the numbers from 237 to 143. Then we have
⇒ 237 - 143
⇒ 94
The number of the whole numbers lying between 237 and 143 will be 94.
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