Answer: The area of the tiny house can be represented by multiplying the length of the house by the width. Since the width of the kitchen is 3 feet, and the width of the remaining living space is 12 feet, the total width of the house is 3+12 = 15 feet.
So the area of the tiny house is 25 ft * 15 ft = 2515 = 375 sq ft.
The expression that correctly represents the area of the tiny house is 25 * 15 =375.
So the correct answer is 2515 = 375 ft^2
The other expressions you gave are not the correct representation of the area of the house
3(12+25) = 3 * 37 = 111 ft^2
25-3+12 = 25 - 3 + 12 = 34 ft^2
25(3+12) = 25 * 15 = 375 ft^2
3-12 +25 = 3 - 12 + 25 = 16 ft^2
25 ft , 3 ft and 12 ft are not represent the area of the house.
Step-by-step explanation:
If 10^x = 5, what is x?
Answer:
x=0.69897009
Step-by-step explanation:
expand by logarithms
10^x=5
=log(10^x)=log(5)
=x log(10)=log (5)
log base 10 of 10 is 1
x.l =log(5)
multiple bothside by 1
x=log(5)
x=0.6989709
Shana wants to buy a music player. She has $100 cash.
Can Shana afford an $89 unit plus HST? Yes or No?
Provide an estimate or a calculation to support your answer=
What is the original price of the most expensive item
Shana can buy for $100?
Pat was shopping and found a jacket with the original price of $120 on sale for $9.99. What was the percent decrease in the cost?
Answer:
91.675% decrease
Step-by-step explanation:
As you probably know, there is still a difference in wages for men vs. women in this country. Besides straight-up
discrimination and bias (which has been lessening over the decades), people point to many other factors that continue
to keep the average amount earned by a full-time, year-round female employee lower than males, on average (like
women taking more time off for maternity than men do for paternity, career selection, etc.).
Every ten years as part of the census, data is collected that gives the median income of "full-time year-round workers."
In 2010 the median income of FTYR workers was $42,800 for men, compared to $34,700 for women. In 1960, if you
adjust the wages to 2009 dollars, wages were $38,907 for men and $23,606 for women.
Based on this data, when might we predict women's wages might catch up to men's? Show all work you did to get
your answer. AND NO LINKS TO FILES OR ANYTHING LIKE THAT.
9514 1404 393
Answer:
year 2066
Step-by-step explanation:
In order to do this, we need to make some assumptions. We'll assume that the 2010 wages are also in 2009 dollars. (If not, there's an inflation factor that needs to be accounted for.) We also need to assume the form of the change in wages over time. The simplest assumption there is that wages change linearly.
Then we can write equations for men's and women's wages as follows:
Using the 2-point form of the equation for a line, we have ...
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
Men's wages
y = (42800 -38907)/(2010-1960)(x -1960) +38907
y = 77.86(x -1960) +38907
y = 77.86x -113,698.6 . . . . . where x is the year
Women's wages
y = (34700 -23606)/(2010 -1960)(x -1960) +23606
y = 221.88x -411,278
These values are equal when ...
77.86x -113,698.6 = 221.88x -411,278
297,580.2 = 144.02x . . . . . . . add 411278 -77.86x
2066.2 = x . . . . . . . divide by the coefficient of x
Based on this data we predict women's wages might catch up to men's in the year 2066, about 56 years from 2010.
_____
Alternate solution
In the 50 years from 1960 to 2010, the fraction of men's wages that women receive has increased from 23606/38907 ≈ 0.606729 to 34700/42800 ≈ 0.810748. That is a change of about 0.204 of men's wages in 50 years. The remaining fraction of 1-0.810748 = 0.189 might be expected to be wiped out in another (0.189/0.204)(50 years) = 46.4 years. That would be the year 2056.
The different results come from different assumptions. For the second solution, we assumed that the fraction improved linearly. Under the first assumption, that wages improved linearly, the fractional improvement is non-linear, and decreases over time.
_____
Additional comment
The usual assumption regarding things financial is that they change exponentially over time. If we use an exponential model, instead of a linear one, wage parity is reached in about 2046.
-15 POINTS-
What’s the length of GH
Select the correct answer.
Steve is trying to determine the proper rectangular pan to use for his banana bread recipe. He has four different pans that he can use, each with the same length and width but all with different heights.
Which of the following formulas will show how Steve can determine the height of a rectangular pan?
I believe it's A
I hope this helps and if I'm wrong I apologize
A recreational area is formed by a rectangular shaped pool and a cement patio surrounding the pool. the pool has a length of 3x-3 meters and a width of 2x+7 meters. The patio extends x meters around to pool, on all sides of the pool. Write a polynomial expression that gives the total area of the recreational area.
The total area of the recreational area can be represented by the polynomial expression 26x² + 57x + 35.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
The area of the rectangular pool is given by its length times its width, so the area of the pool is (3x - 3) meters × (2x + 7) meters = (6x² + x - 21) square meters.
The area of the patio is given by the length of the pool plus twice the extension (x) on each side, times the width of the pool plus twice the extension on each side, so the area of the patio is (3x - 3 + 2x) meters × (2x + 7 + 2x) meters = (5x + 4) × (4x + 14) = 20x² + 56x + 56 square meters.
The total area of the recreational area is the sum of the areas of the pool and the patio, so it can be represented by the polynomial expression:
20x² + 56x + 56 + 6x² + x - 21 = 26x² + 57x + 35
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The following probability distributions of job satisfaction scores for a sample of information systems (IS) senior executives and middle managers range from a low of 1 (very dissatisfied) to a high of 5 (very satisfied).
Probability
Job Satisfaction Score IS Senior Executives IS Middle Managers
1 0.05 0.04
2 0.09 0.10
3 0.03 0.12
4 0.44 0.45
5 0.39 0.29
1. What is the expected value of the job satisfaction score for senior executives (to 2 decimals)?
2. What is the expected value of the job satisfaction score for middle managers (to 2 decimals)?
3. Compute the variance of job satisfaction scores for executives and middle managers (to 2 decimals).
4. Compute the standard deviation of job satisfaction scores for both probability distributions (to 2 decimals).
5. What comparison can you make about the job satisfaction of senior executives and middle managers?
Answer:
1.)E₁ = 4,03
2) E₂ = 3,85
3) σ₁² = 1,23
4)σ₂² = 1,14
5)σ₁ = 1,11
6)σ₂ = 1,07
5 ) Distribution of senior executive and Middle Manager look pretty similar , diference in median 0,18 and difference in standard deviation 0,04
Step-by-step explanation:
1.-Expected value of the job satisfaction score for senior executive
E₁, variance σ₁ and standard deviation σ₁ and expected value of the job satisfaction score for Middle Manager E₂ variance σ₂ and standard deviation σ₂
E(X) = ∑ ( xi *f(xi)
JSS IS senior executive IS Middle Managers
1 0,05 0,04
2 0,09 0,1
3 0,03 0,12
4 0,44 0,45
5 0,39 0,29
∑ xi*f(xi) = 1*0,05 + 2 *0,09 + 3*0,03 + 4 * 0,44 + 5 * 0,39
E₁ = 0,05 + 0,18 + 0,09 + 1,76 + 1,95
1.)E₁ = 4,03
2.) ∑ xi*f(xi)
E₂ = 1* 0,04 + 2 * 0,1 + 3*0,12 + 4*0,45 +5*0,29
E₂ = 0,04 + 0,2 + 0,36 + 1,8 + 1,45
E₂ = 3,85
2 ) E₂ = 3,85
3) Variance of job satisfaction scores for senior executives.
x² f(x) x²* f(x)
1 0,05 0,05
4 0,09 0,36
9 0,03 0,27
16 0,44 7,04
25 0,39 9,75
σ₁² = [ ∑ x²*f(x) ] - μ² ∑ x²*f(x) = 17,47
In this case μ = E μ² = ( 4,03)² = 16,24
For senior executives: σ₁² = 17,47 - 16,24 = 1,23
σ₁² = 1,23
And standard deviation σ₁ = 1,11
For Middle managers
x² f(x) x²* f(x)
1 0,04 0,04
4 0,1 0,4
9 0,12 1,08
16 0,45 7,2
25 0,29 7,25
∑ x²*f(x) = 15,97
σ₂² = 15,97 - (3,85)² = 15,97 - 14,82
σ₂² = 1,14
σ₂ = √1,14 = 1,07
5 ) Distribution of senior executive and Middle Manager look pretty similar , diference in median 0,18 and difference in standard deviation 0,04
There are 3 red chips and 5 white chips in a bag. If 2 chips are drawn, without replacement, what is the probability that both chips will be white?
Answer: 5/14
Step-by-step explanation:
5 white / 8 total
4 white / 7 total
5/8 * 4/7 = 20/56 = 5/14
Round 0.09305085 to the nearest hundredth
Given that XV = 11 and XQ = 3, is X the incenter or the circumcenter of /? Find XR. A. circumcenter; XR = 3 B. incenter; XR = 3 C. circumcenter; XR = 11 D. incenter; XR = 11
Answer:
The answer is C.
I did the practice.
Add 5+23. Enter your answer below as an improper fraction in lowest
12 10
terms, using the slash (7) as the fraction bar.
Answer: 163/60
Step-by-step explanation:
when adding fractions you have to get to a common denomenator and then add your fractions together
An item costs $380 before tax and the sales tax is $15.20 find the sales tax rate write your answer as a percentage
PLEASE HELP ME WITH THESE!!!
9514 1404 393
Answer:
∠4 = 120°∠5 = 80°Step-by-step explanation:
Angle 5 is the third angle of the triangle whose other two angles are 45° and 55°. So, its measure is ...
∠5 = 180° -45° -55°
∠5 = 80°
__
This figure cannot be solved for angle 4 unless we assume the horizontal lines are parallel. Using the angle numbers as vertex designators, angle 245 and the one marked 45° are alternate interior angles, so are congruent. Angle 4 is vertical with the angle that is the sum of angle 245 and 75°, so we have ...
∠4 = 75° +45°
∠4 = 120°
Find Y
Special right triangles
Please last question of the day!! Due very soon
Answer:
y= root 2 kilometers
Step-by-step explanation:
[tex] \frac{2 \sqrt{2} }{2} = \sqrt{2} [/tex]
Simplify the following rational expression. Be sure to state the condition.
The simplified form of the rational expression (x²+5x+6)/(3x+6) is (x+3)/2.
And we used factorization to find the simplified form.
What is factorization?Factorization is a process to simplify the expression by finding the factors of that expression.
And to find the same expression from factors, you have to reverse the process.
Given:
The rational expression,
(x²+5x+6)/(3x+6).
Simplifying,
the expression using factorization method.
First, (x²+5x+6),
= x²+2x+3x+6
= x(x+2)+3(x+2)
= (x+2) (x+3)
And 3x+6 = 3(x+2)
Substituting the simplified values to the given expression,
(x²+5x+6)/(3x+6),
= (x+2) (x+3) / {3(x+2)}
Factor out the common factor,
= (x+3)/2
Therefore, the simplified form is (x+3)/2.
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If a city that currently has a population of 1000 triples in size every 8 years, what will the population be in 24 years? Is the population growth modeled by a linear function or an exponential function?
Step-by-step explanation:
I'm pretty sure it's 19200? or maybe im writing is wrong
Answer:
After 24 years population of the city will be 27000.
exponential function.
Step-by-step explanation:
in picture
Which radicals are already in the simplest form?
Therefore , answering the questions, we can state that a factorial radicals is streamlined, or in its most basic form, when the user ’s behalf has no square components.
what is radicals?Radical is the name for the symbol for the scale factor or nth root. Root expressions are expressions that have square roots. Radicand: An expression or value enclosed by a radical symbol. Examples are the radicalism 7, 2y+1, and on and on. Radicals can also be described using the terms below: Equations that contain radicals are known as radical equations. The expression contained within the square root is referred to as the "root expression."
Here,
We refer to a sum of squares radical as being simplified or in its purest form when the radicand contains no square components.
The simplest form of a radical also exists when the user ’s behalf is not a fraction.
so that radical = 2√x / x
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Round 0.2275 to the nearest hundredth
Answer:
0.23 is the answer
I wish you luck in your assignments.
what percent of 50 is 25 with solution
Answer:
50%
What is a percentage?A percentage is a ratio, or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.
Looking at the problem, we can take 25, and divide 50 by it.
25 ÷ 50 = 0.5
0.5 is equal to 5/10, which is also equal to 50%, meaning that 50% of 50 is 25.
how to solve this question
Whoever answers the previous question after this gets 50 points and brainliest if correct.
Step-by-step explanation:
I said it I knew it I did it I submit for you so I'm the one that is if if you know me.
8.
Does a triangle with these side lengths exist?20, 10,9
Da) Yes
I b) No
Answer:
yes
Step-by-step explanation:
Theorem 6.1A states that if a quadrilateral is a Parallelogram, then it’s opposite sides are
Answer:
congruent
Step-by-step explanation:
Determine which two numbers come next in the sequence 5,5,10,15,25, __, __
The two numbers that come next in the sequence 5,5,10,15,25, are 40 and 65.
How can the two numbers that come next in the sequence be calculated?To calculate this , You can figure it out by taking the first number, which is 5. However, since the previous number is 0, the sum is 5, and you proceed in the same manner.
5 + 5 = 10
(5 + 10) = 15
(10 + 15) = 25
(15 + 25) = 40
(25 + 40) = 65
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( NO LINKS ) If x=7, is this equation true? 7 + 9x > 73 *
A. Yes
B. No
Answer:
[tex]\huge\mathfrak\red{Answer} \\ \\ 7 + 9x > 73 \\ \\ x = 7 \: \: \: \: \: \: given \\ \\ 7 + (9 \times 7) > 73 \\ \\ 7 + 63 > 73 \\ \\ 70 > 73 \\ \\ but \: 70 \: is \: not \: grater \: \: than73 \\ \\ so \: this \: equation \: is \: not \: true \\ \\ \huge\mathfrak\purple{Answer = no} \\ \\ \small\mathfrak\red{hope \: it \: helps...}[/tex]
help pls the question is in the picture
Answer:
[tex]\neq \neq \lim_{n \to \infty} a_n \lim_{n \to \infty} a_n \geq x^{2} x^{2} \sqrt{x} \frac{x}{y} x_{123} x_{123}[/tex]
Step-by-step explanation:
yeah
Helpp!! Solve the system by graphing.
Select largest number from 16,48,8
Answer:
48.
Step-by-step explanation:
8 < 16 < 48
48 > 16 > 8
Answer:
Step-by-step explanation:
Select largest number from 16,48,8
A sporting goods factory produced 13,234 tennis balls per month.How many tennis balls does it produce during 12 months?
Answer:
158,808 !
Step-by-step explanation:
13,234 × m (months)
13,234 × 12
= 158,808