Answer:
Step-by-step explanation:
Building scale is 1cm=5feet
This means 1 cm is equivalent to 5 feet
If 1 cm is equals to 5 feet and the owner wants a 25% increase in dimension, this means;
25/100 =0.25.
0.25 x the actual dimension
0.25 x 5 = 1.25
1.25 + actual dimension
1.25 + 5 = 6.25.
This means the scale of the room will be on 1cm =6.25feet.
If the length of the room is A, the width is B;
The new length will then be 1.25 x A =1.25A
1.25A + A
The length of the new room is 1.25A +A
While the width of the new room is 1.25B +B
Solve the problem by entering and solving an equation.
What is the temperature in degrees Fahrenheit of a freezer kept at -30°C?
What is the temperature in
degrees Fahrenheit.hat is the equation (___)= (___) (x- _) and what is the temperature in degrees Fahrenheit
Answer: -26.60
Step-by-step explanation:
Heres -30 degrees as faherenheit
Answer:
-22
Step-by-step explanation:
−30 =
5
9
(x − 32)
Solve the equation.
9
5
(−30) =
9
5
(
5
9
(x − 32)) Multiply both sides by
9
5
.
−54 = x − 32
+32 + 32 Add 32 to both sides.
−22 = x
The temperature is −22 degrees Fahrenheit.
is -5 greater than -8
Answer:
yes
Step-by-step explanation:
negative numbers work backwards, in this case 8 is smaller then 5 as its farther in the numberline (if you were to draw one)
Answer:
Yes
Step-by-step explanation:
-5 is greater than -8 because -5 is closer to zero. You need to add 5 to get to 0 with -5, but 8 to get to 0 with -8.
A sqaure window is 2 meters long on each side. To protect the window during a storm, Marisol plans to put a strip of duct tape along each diagonal of the window. To the nearest tenth of a meter, what is the toal length of duct tape Marisol will need.
Please give equation.
Answer:
5.7 meters
Step-by-step explanation:
Since the duct tape is to be placed along the diagonal of the square window, Considering the shape formed by one diagonal and two sides of the window. This shape is a right angle triangle.
The diagonal represents the hypotenuse while the sides are the opposite and adjacent. Using Pythagoras theorem, let the length of the diagonal be h
h^2 = 2^2 + 2^2
= 4 + 4
= 8
Taking the root of both sides
h = √8
= 2.828 meters
considering that the duct tape is needed for 2 diagonals, the total length required
= 2.828 * 2
= 5.656
To the nearest tenth of a meter, this becomes
= 5.7 meters
Which of these is the smallest number: A.0.452
B. 45%
C. 0.045
Answer:
C. 0.045
Step-by-step explanation:
In the equation y = 2x + 5, what values represent the m (slope) and the b (y-intercept)?
Answer:
m(slope)=2
b(y-intercept)=5
Step-by-step explanation:
Answer:
2x represents the slope and 5 represents the y intercept.
On a scale drawing, a school is 1.6 feet tall. the scale factor is 1/22. Find the height of the school
Answer:
35.2 ft
Step-by-step explanation:
Multiply the scale factor and the height.
Find the square of -7
Answer:
7 = 49.....
Step-by-step explanation:
7 * 7. = 49
ok....
thanks
The functions f(x),8(x), and h(x) are defined below.
f(x)=32
g(x)= 10x+4
h(x)= x - *
Calculate the indicated function values. Simplify your answers,
13. f(7)
14. f(-9)
15. f(s)
16. f(s – t)
17. g(7)
18. g(-9)
19. g(s)
20. g(s - t)
Answer:
Step-by-step explanation:
f(7) = 32
f(-9) = 32
f(s) = 32
f(s-t) = 32
g(7) = 10·7+4 = 74
g(-9) = 10(-9)+4 = -86
A florist has 733 flowers how many full bouquet of 16 flowers can make?
Answer:
45 bouquets
Step-by-step explanation:
733 divided by 16 is 45.8125
Round that and you get 45.
Hope this helps!!!
Answer:
45
Step-by-step explanation:
733/16 = 45.81 = 45 and remainder 13
In this case we must round down since with the 13 flowers in the remainder he cannot make another bouquet.
He can make 45 bouquets.
write a function to match the function machine
Multiply the input by -3, then
subtract 2
Answer:
The required function is:
f(x) = 3x - 2Please check the attached graph.
Step-by-step explanation:
We need to write a function to match the function machine multiply the input by -3, then subtract 2.
Let 'x' be the input.
Multiply the input by 3 is: 3xSubtract 2: 3x - 2Therefore, multiply the input by -3, then subtracting 2 would give us the result:
f(x) = 3x - 2
Therefore, the required function is:
f(x) = 3x - 2Please check the attached graph.
Which expression has a value of 13?
-12/6+ 7 - (-8)
-3 •2 - 19
4•5 -(-7)
5+11+(-3) - 6
Step-by-step explanation
A city’s elevation is 140.2 feet below sea level. Between which two integers does this elevation lie?
Answer:
The elevation lies between -140 and -141.
Step-by-step explanation:
The elevation lies between -140 and -141.
PLEASE HELP ME ASAP!!!
Answer:
1.1r,-1r
2.-2x,5x
Step-by-step explanation:
i tgink tgis is what the answer os unless i am a doing the math wrong. so i hope im right and tgis helps
Which graph represents this system of equations?
y + 2x = 3
y + 2 = 3x
Answer:
The options are not given, so i will answer in a general way.
First, we have the system:
y + 2*x = 3
y + 2 = 3*x
To graph this system, the easier way is writing both equations as linear equations, like:
y = -2*x + 3
y = 3*x - 2
Now we just need to graph these two lines in the same coordinate axis.
To do it, we can replace the value of x by two different values in each equation, and see the correspondent value of y for these values. Then graph the two points, and draw a line that connects them.
For example, for the first equation if we have x = 0, we have:
y = -2*0 + 3
y = 3
Then we have the point (0, 3)
and if x = 1
y = -2*1 + 3 = 1
y = 1
we have the point (1, 1)
Now we only need to graph these points, and draw a line that passes through them.
Once we did this for both lines, the graph we will get will look something like the one above.
And the point where the lines intersect is the solution of the system of equations.
Which is the point (1, 1)
HELP PLEASE ASAP!!!!!!!
Integrate [tex]e^{4x}\sqrt{1+e^{2x} } dx[/tex] please show work so i can learn
Answer:
the picture is attachedand sorry I can't explain you much about itUse the product of powers property to simplify the numeric expression.
4^1/3*4^1/5
HELP MIDDLE SCHOOL QUESTION
answer:
26.563 miles.
step-by-step explanation:
5.123 + 6.34 + 7.1 + 8 = 26.563
-- please mark the brainliest and click the thanks button if correct :)
A camera store offers a discount of 5% off the cost of photo paper. The discount is applied before tax. A customer buys photo paper that costs $13.50 before tax. Which amount is closest to the cost of the paper with the discount before tax?
Answer:
the amount that nearest to the paper cost with the discount but before tax is $12.83
Step-by-step explanation:
The computation of the amount that nearest to the paper cost with the discount but before tax is shown below:
= Cost of a photo paper - discount
= $13.50 - 5% of $13.50
= $13.50 - $0.675
= $12.83
Hence, the amount that nearest to the paper cost with the discount but before tax is $12.83
Use the fact that the variance of a Poisson distribution is σ2=μ. The mean number of bankruptcies filed per hour by businesses in a country was about five. (a) Find the variance and the standard deviation. Interpret the results. (b) Find the probability that at most three businesses will file bankruptcy in any given hour.
Answer:
Variance = 5
Standard deviation = 2.236
0.2650257
Step-by-step explanation:
For a Poisson distribution is σ² = μ.
Given that:
Mean , μ of bankruptcies files per hour = 5
μ = 5
For a Poisson distribution :
P(x = x) = (μ^x * e^-μ) / x!
The Variance and standard deviation :
Variance : σ² = μ = 5
Standard deviation = sqrt(variance) = sqrt(5) = 2.236
B.) Find the probability that at most three businesses will file bankruptcy in any given hour.
P( x ≤ 3) = P(0) + P(1) + P(2) + P(3)
P(x = 0) = (5^0 * e^-5) / 0! = 0.0067379
P(x = 1) = (5^1 * e^-5) / 1! = 0.0336897
P(x = 2) = (5^2 * e^-5) / 2! = 0.0842243
P(x = 3) = (5^3 * e^-5) / 3! = 0.1403738
0.0067379 + 0.0336897 + 0.0842243 + 0.1403738
= 0.2650257
Using the Poisson distribution, it is found that:
a) The variance is of 5 while the standard deviation is of 2.24. It means that over many hours, the number of bankruptcies should be within 2.24 of 5.
b) 0.265 = 26.5% probability that at most three businesses will file bankruptcy in any given hour.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successes e = 2.71828 is the Euler number [tex]\mu[/tex] is the mean in the given interval, which is the same as the variance.In this problem, the mean is of [tex]\mu = 5[/tex].
Item a:
The variance is the same as the mean, of 5.The standard deviation is the square root of the variance, hence [tex]\sqrt{5} = 2.24[/tex]
The variance is of 5 while the standard deviation is of 2.24. It means that over many hours, the number of bankruptcies should be within 2.24 of 5.
Item b:
This probability is:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
In which
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-5}(5)^{0}}{(0)!} = 0.0067[/tex]
[tex]P(X = 1) = \frac{e^{-5}(5)^{1}}{(1)!} = 0.0337[/tex]
[tex]P(X = 2) = \frac{e^{-5}(5)^{2}}{(2)!} = 0.0842[/tex]
[tex]P(X = 3) = \frac{e^{-5}(5)^{3}}{(3)!} = 0.1404[/tex]
Then:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0067 + 0.0337 + 0.0842 + 0.1404 = 0.265[/tex]
0.265 = 26.5% probability that at most three businesses will file bankruptcy in any given hour.
A similar problem is given at https://brainly.com/question/16912674
Which expression represents the sum of n and 7 multiplied by 3? *
1. n + 7 x 3
2. (n + 7) x 3
3. (n + 7) ÷ 3
4. (n - 7) x 3
Answer:
Step-by-step explanation:
(n+7)×3
Answer:
1. n + 7×3Step-by-step explanation:
The sum of n and 7 multiplied by 3:
n + 7×3It is option 1
This is a tricky one but when reading carefully we see there is nothing that adds n to 7 before multiplying by 3, therefore it reads as n plus ( 7 multiplied by 3).
Which expression means the same as "25 less that 5y"
Answer:5y-25
Step-by-step explanation:
Answer:
5y - 25
Step-by-step explanation:
that expression shown 25 less than 5y
hope this helps...
inverse equation x-19 = -23
Answer:
Isolate the X by adding 19 on both sides sicne the invers of -19 is 19
-23+19= -4
now you’d get
x= -4 since its a one step equation and X is isolated
Find the equation of the line parallel to the line g(x) = -0.01x + 2.01 through the point (1, 2).
Answer:
Baka renejay to HAHAHHA
HELP HELP HELP HELP PLEASE PLEASE !!!!!
Answer:
Correct answer would be 84/12=7
Step-by-step explanation:
Reason being , Its asking the "product" Of Julies score (7)
If you divide 84 /7 it will be =12
since its already giving you what its equal you would flip it and it would be 84/12
To estimate the mean height of female high school juniors, you take a
random sample of 30 female students and get these results (in inches):
72,51, 67, 68, 61, 69, 58, 56, 60, 56
66, 61, 60, 59, 59, 54, 58, 53, 68, 63
57, 62, 63, 64, 56, 62, 58, 67, 57, 70
If the o is 5.3, based on past research, and you want to construct a 97%
confidence interval using (estimate) + (margin of error)= (estimate)
what's your point estimate of ?
A. 30
B. 5.4
C. 65
D. 61.17
Answer:
61.16667 ; (58.958, 63.375)
Step-by-step explanation:
Given the data :
72,51, 67, 68, 61, 69, 58, 56, 60, 56, 66, 61, 60, 59, 59, 54, 58, 53, 68, 63, 57, 62, 63, 64, 56, 62, 58, 67, 57, 70
Standard deviation, σ = 5.3
Sample size, n = 30
The point estimate of the population mean:
Mean, m = Σx/n
Σx = 1835 ; n = 30
m = 1835 / 30
m = 61.16667
Confidence interval :
m ± Tn-1,α/2 * σ/sqrt(n)
61.16667 ± T30-1,0.03/2 * 5.3/sqrt(30)
61.16667 ± T29,0.015 * (5.3/sqrt(30))
61.16667 ± 2.282175 * (0.9676431)
Lower bound = 61.16667 - 2.20833 = 58.95834
Upper bound = 61.16667 + 2.20833 = 63.375
(58.958, 63.375)
Tim and Joey share a 20-ounce box of cereal. By the end of the week, Tim has eaten 3/10 of the box, and Joey has eaten 3/5 of the box of cereal. How many ounces are left in the box?
Answer:
The answer is 2 ounces
Step-by-step explanation:
6/5 of 7/11 is ...
what is ...
Answer:
42/55
Step-by-step explanation:
6/5 times 7/11 = 42/55
Question Help
Mia has 28 stamps. Alex has 49 stamps, and Michael has 77 stamps. Use the GCF and the
Distributive Property to find the total number of stamps Mia, Alex, and Michael have.
Write each number as a product using the GCF as a factor, and apply the Distributive Property
28 +49 +77 = 0
(Use the operation symbols in the math palette as needed. Do not simplity)
3
More
Enter your answer in the answer box and then click Check Answer
Clear Al
C
1
remaining
Answer:
a. Using the GCF and the Distributive Property to find the total number of stamps Mia, Alex, and Michael have:
28 + 49 + 77 = 154
= 7*4 + 7*7 + 7*11
= 7 (4 + 7 + 11)
= 7 (22)
= 154
Step-by-step explanation:
a) Data and Calculations:
Number of stamps that Mia has = 28
Number of stamps that Alex has = 49
Number of stamps that Michael has = 77
GCF = 7
b) GCF = Greatest common factor. The distributive property shows that multiplying two numbers (factors) together will result in the same thing as breaking up one factor into two addends, multiplying both addends by the other factor, and adding together both products. The knowledge of GCF and the distributive property helps to change expressions from standard forms to factored forms.
Factorise fullyc^3+ c^2
Answer:
c^2( c+1)
Step-by-step explanation:
c^3+ c^2
The greatest common factor is c^2
c^2( c+1)