Answer:
23
Step-by-step explanation:
A scale drawing of an office space uses a scale of 1 in : 4 yd. The scale drawing has an area of 12 square inches.The area of the office space is ____ square yards
The scale factor of area of the drawing to the area of the office is the
square of the scale factor of the length of the drawing.
The area of the office space is 192 square yards.Reasons:
The given parameters are;
1 inch in the scale drawing = 4 yd. in actual dimension
4 yd. = 144 inches
Therefore;
1 inch in the scale drawing = 144 inches in actual dimension
The scale factor of length of the drawing, s = 1:144
The scale factor of area = s²
Therefore, we have;
[tex]\dfrac{Drawing \ area}{Actual \ area} =s^2[/tex]Therefore, we have;
[tex]\dfrac{Drawing \ area}{Actual \ area} =\dfrac{12}{A} = s^2 = \left( \dfrac{1}{144} \right)^2[/tex]Where;
A = The actual office space area
There fore;
12 × 144² = A × 1²
A = 12 × 144² = 248,832 in.²
1 yd.² = 1,296 in.²
[tex]248,832 \, in.^2 = \dfrac{248,832}{1,296} \, yd.^2 = 192 \, yd.^2[/tex]The area of the office space is 192 square yards.
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3x+2=23
Please show steps on how to do.
Answer:
x = 7
Step-by-step explanation:
3x+2=23
Subtract 2 from each side
3x+2-2 = 23-2
3x = 21
Divide each side by 3
3x/3 = 21/3
x = 7
Answer:
[tex] \sf \: x = 7[/tex]
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ 3x + 2 = 23
Then the value of x will be,
→ 3x + 2 = 23
→ 3x = 23 - 2
→ 3x = 21
→ x = 21 ÷ 3
→ [ x = 7 ]
Hence, the value of x is 7.
What is the difference of 9.2 and 0.03
Answer:
9.17
Step-by-step explanation:
9.20-0.03=9.17
Answer:
9.17
Step-by-step explanation:
9.20
-0.03
_____
9. 17
Write the expression using exponents. g⋅g⋅g⋅g⋅g
Find three consecutive multiples of 6 with a sum that is four times the least of the numbers.
Answer:
18 , 24, 30
Step-by-step explanation:
6x + (6x+6) + (6x+6+6) = 4*6x
18x + 18 = 24x
6x = 18
x = 3
3 multiples of 6: 18 , 24, 30
check: 18+24+30=72
4*18 = 72
3 1/4 as in improper fraction
Answer:
13/4
Step-by-step explanation:
3 lots of 4 = 12.
Add 1 from the existing numerator.
Therefore, answer is 13/4.
Hope this helps :)
28=2x+6 can you please help
Answer:
Please look at the picture i have sent
Dakota earned $7.50 in interest in Account A and $30.00 in interest in Account B after 18 months. If the simple interest rate is 2% for Account A and 5% for Account B, which account has the greater principal? Explain.
Answer:
account a
Step-by-step explanation:
deez nuuuuuuuts
A used-droid dealership buys a droid for $2700 and then sells it for $4000. What is the percent increase?
Answer:1300
Step-by-step explanation:
Please help!!!! Tell me whether it’s a equation or not pleasr
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 3 to 4. If there were 2874 yes votes, what was the total number of votes?
Answer:
6702
Step-by-step explanation:
2874/3*(3+4)=6702
Whoever answers I’ll mark brainliest!
Answer:
hi
Step-by-step explanation:
i think it is equilaterial triangle
hope it helps :)
whats the greateats hundreds you can multiply by 6 to get close to but not go over 3236
Answer:
100
Step-by-step explanation:
6×100=600
600 might not be that much close to 3236 but it's not over 3236
El diseño de un sistema requiere instalación de 2 componentes iguales. El sistema completo funcionará si al menos 1 de los componentes funcionan,mientras que un sistema alternativo requiere cuatro de sus componentes funcionará si al menos 2 de sus componentes están funcionando.
La probabilidad de que un componente funcione de manera individual es de 0.9 y cada uno funciona de manera independiente. ¿cuál de los 2 diseños tienen mayor probabilidad de funcionar?
Usando la distribución binomial, se encuentra que el diseño de 4 componentes tiene mayor probabilidad de funcionar.
Para cada componente, solo hay dos resultados posibles. O están funcionando o no estan. La probabilidad de que un compoente estea funcionando es independiente de cualquier otro componente, lo que significa que se utiliza la distribución binomial para resolver esta cuestión.
Distribuición binomial:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Los parámetros son:
n es el número de ensayos. p es la probabilidad de éxito en un ensayo. x es el número de éxitos.En este problema:
La probabilidad que un componente funcione es 0.9, o sea, [tex]p = 0.9[/tex].Diseño de 2 componentes:
2 componentes implica que [tex]n = 2[/tex].La probabilidad de funcionar es [tex]P(X \geq 1)[/tex], que es dada por:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
En que:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{2,0}.(0.9)^{0}.(0.1)^{2} = 0.01[/tex]
Entonces:
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.01 = 0.99[/tex]
Diseño de 4 componentes:
4 componentes implica que [tex]n = 4[/tex].La probabilidad de funcionar es [tex]P(X \geq 2)[/tex], que es dada por:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
En que:
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{4,0}.(0.9)^{0}.(0.1)^{4} = 0.0001[/tex]
[tex]P(X = 1) = C_{4,1}.(0.9)^{1}.(0.1)^{3} = 0.0036[/tex]
Entonces:
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0001 + 0.0036 = 0.0037[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.0037 = 0.9963[/tex]
[tex]0.9963 > 0.99[/tex], o sea, el diseño de 4 componentes tiene mayor probabilidad de funcionar.
Un problema similar es dado en https://brainly.com/question/25132113
-8/7 + (-2/3)
HELPP Mee
Step-by-step explanation:
-(38/21)
that is the answer
Answer:
-38/21, or 1 17/21
Step-by-step explanation:
To add, we need to change the denominators to be the same. The least common denominator is 21. -8/7 is equal -24/21, and -2/3 is equal to -14/21. If we add these we get -38/21, or 1 17/21.
1. In each table, determine if y is proportional to x. Explain why or why not.
1.
x
y
2.
х
y
3.
х
y
3
12
3
15
6
4
5
20
4
17
9
6
2
8
LO
19
12
8
8
32
6
21
3
2
1.
2.
3.
everyone was a little confused sooo this is better!!
Answer:
3 is the answer
Step-by-step explanation:
ooooooooooooooooooooo
PLEASE HURRY NO LINKS PLEASEEEEEE
Answer:
64
Step-by-step explanation:
-4(m-n)^2
when m=3 and n=-1
-4(3-(-1))^2=
-4(3+1)^2=
-4(4)^2=
-4(16)=-64
correct answer is -64
please mark this answer as brainlist
Evaluate.
0.2^3÷0.4⋅60+3.6÷1.2
Enter your answer as a decimal
Answer:
what that's grade? ha
that's first year college
Two cyclists start at the same point and travel in opposite directions. One cyclist travels 4 km/h slower than the other. If the two cyclists are 120 kilometers apart after 2 hours, what is the rate of each cyclist?
mowed 3 yards for $35.00
Answer:
AYO HE LOOKIN SPIFFY
Step-by-step explanation:
angela neli are going to the movies
Answer:
thats good what are you waatching?
Step-by-step explanation:
Hope that helps
somone plz help me will make brainlest if is right
9514 1404 393
Answer:
y = 1/5
Step-by-step explanation:
Divide both sides of the equation by the coefficient of the variable.
7 = 35y
7/35 = (35y/35)
1/5 = 1y
y = 1/5
_____
A number divided by itself is 1. A number multiplied by 1 is unchanged.
To get from 35y to 1y, or y, divide by 35. That gives you (35/35)y = 1y = y.
Whatever you do to one side of the equation must also be done to the other side. Dividing 7 by 35 gives 7/35 = (7/7)×(1/5) = 1/5.
I bought 3,000,000 shares at .000007. what would my gain be if it reached .01 .
If 1 share had an initial cost of $0.000007, then 3,000,000 shares would be worth
(3,000,000 shares) × ($0.000007/share) = $21
If the price increases to $0.01 per share, then the same number of shares would have a value of
(3,000,000 shares) × ($0.01/share) = $30,000
So you've gained a net profit of $30,000 - $21 = $29,979, which corresponds to a
$29,979 / $21 = 1,427.57 = 142,757%
increase in value.
The height of a model rocket, H(t), is a function of the time since it was
launched, t.
Time (seconds)
What is the domain of H(t)?
A. t <100
B. T>0
C. 0
D. 0
The domain of function H(t) is 0 ≤ t ≤ 20.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
From the graph,
We see that the value of t is from 0 to 20 seconds.
Now,
The value of t can be written as an inequality:
0 ≤ t ≤ 20
Thus,
The domain of function H(t) is 0 ≤ t ≤ 20.
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Can someone help me please :)
9514 1404 393
Answer:
(d) y = 2×7^x
Step-by-step explanation:
If you try x=2 in each of the expressions, you find only one of the gives 98 as the value.
a) 14^2 = 196
b) 7×2^2 = 28
c) 2^(7×2) = 2^14 = 16,384
d) 2×7^2 = 2×49 = 98 . . . . . . . correct answer choice
__
Alternatively, you can recognize that the x-values in the given (x, y) pairs differ by 1, so the ratio of y-values will be the base of the exponential term:
98/14 = 7
so you're looking for something of the form 7^x. That would be ...
y = 2×7^x
__
In more general terms, consider
y = ab^x
If you have x=1 and x=2, then this will be ...
y1 = ab^1 = ab
y2 = ab^2
Dividing the second by the first gives ...
y2/y1 = (ab^2)/(ab) = b . . . . . . . general solution when x-values differ by 1
98/14 = b = 7
From the x=1 case, we have ...
14 = 7a ⇒ a = 2
y = 2·7^x
If x is semi-prime, how many prime factors does it have?
please, 20 points for this!!
Answer:
2 prime factors
Answer: 2 prime factors
Step-by-step explanation: A semiprime is a number n that has just 2 prime factors p and q so n = p × q. It is therefore "almost" a prime (which has only one prime factor, itself!) or a semiprime.
$56 for 25 gallons or $30.05 for 15 gallons
um what do you mean by that?
Find the volume of the composite solid. Round your answer to the nearest hundredth.
700 cubic inches
Step-by-step explanation:
is known :
r = 5 inh = 9 inV = πr²h
V = 3.14 · 5² · 9
V = 3.14 · 25 · 9
V = 78.5 · 9
V = 706.5 cubic inches → Round to the nearest hundredth
V ≈ 700 cubic inches
The Volume of Cylinder is 1271.7 in³.
What is volume of Cylinder?The volume of a cylinder is the amount of space that it occupies. It is a measure of the total capacity or content enclosed by the cylindrical shape.
The formula for calculating the volume of a cylinder is:
Volume = πr²h
We have, Radius= 5 in
Height= 9 inch
So, the Volume of Cylinder
= πr²h
= 3.14 x 5 x 5 x 9
= 3.14 x 5 x 81
= 3.14 x 405
= 1271.7 in³
Thus, the Volume of Cylinder is 1271.7 in³.
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7 divided by $15.02. ROUND TO THE NEAREST CENT!! QUICKLY
Answer:
0.5
Step-by-step explanation:
7 / 15.02 US dollars = 0.466045273
Round to the nearest tenth: 0.5
Which expression is equivalent to √10/4√8?
Answer:
A
Step-by-step explanation:
A