Here is a sketch of a floor-plan diagram of a room.
1 cm represents 0.5 m.
Find all the real-life dimensions of the room.
5 cm
4 cm
8 cm
10 cm
Answers
Answer:
it 5cm because the 0 is non simbol
Related Questions
Identify the initial amount a and the growth factor b in the exponential function.
g(x)=14 x 2^x
a=14, b=x
a=14, b=2
a=28, b=1
a=28, b=x
Answers
Answer:
a = 14, b = 2
Step-by-step explanation:
the initial amount was 14
the growth factor is 2
Daniel has five bags of coloured sweets.
He picks at random a sweet from each bag.
The table shows the probability that the sweet he picks from each bag is red.
Which bag contains only red sweets?
A
B
C
D
E
Answers
square abcd has side length 1. points p, q, r, and s each lie on a side of abcd so that apqcrs is an equilateral convex hexagon with side length s. what is s?
Answers
Therefore , the solution of the given problem of square comes out to be
RS= 3 √3/4 unit.
What exactly is a square?Euclidean geometry states that a square is a quadrilateral square has four equal sides plus four equal angles. A rectangle has two adjacent sides that are of the same length is another name for it. An equilateral quadrilateral is one that has a square as one of its four equal sides and four equal angles. A square angle is one that is 90 degrees or straight. The diagonals of the square are also split at a 90 degrees and are equally spaced. a rectangle next to it that has two sides of equal length. four equal-length sides and four right angles make up a quadrilateral. a parallelogram with a right angle formed by two neighboring, equal sides. rectangle with straight sides.
Here,
Given :
PQ⊥RS
=> c−a=b−d.1)
=> PQ= 3 √3/4
=> PQ² = 27/16
=> 1+(a−c)² =27/16
=> RS= √(b−d)² +1 (3)
=> By equation (1),(2)and (3)
RS= 3 √3/4
Therefore , the solution of the given problem of square comes out to be
RS= 3 √3/4 unit.
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Omar runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?
In miles
Answers
Answer:
4.8 miles
Step-by-step explanation:
You can use a proportion.
6/55 = x/44
55x = 6 × 44
55x = 264
x = 264/55
x = 4.8
Answer: 4.8 miles
44 / 55 = 4 / 5
4 / 5 = 0.8
0.8 * 6 = 4.8 miles
please give brainliest
what is the greatest number of identical bouquets that can be made out of 21 white and 91 red tulips if no flowers are to be left out? (two bouquets are identical whenever the number of red tulips in the two bouquets is equal and the number of white tulips in the two bouquets is equa
Answers
The most appropriate choice for HCF will be given by-
Number of identical bouquets that can be made out of 21 white tulips and 91 red tulips if no flowers are left out = 7
What is HCF?
HCF means highest common factor. HCF of two number a and b is the highest number that divides both a and b.
Number of white tulips = 21
Number of red tulips = 91
Number of identical bouquets that can be made out of 21 white tulips and 91 red tulips if no flowers are left out = HCF (21, 91)
Now,
\(21 = 3\times 7\\91 = 7\times 13\\\)
HCF (21, 91) = 7
Number of identical bouquets that can be made out of 21 white tulips and 91 red tulips if no flowers are left out = 7
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Models of infectious diseases often track the fraction of susceptible, infec- tious, and recovered individuals at time t, denoted s(t), i(t), and r(t) respec- tively. If the population remains roughly constant in size over the course of the outbreak then
ds/dt = - Ro s(t) i(t)
di/dt = Ro s(t) i(t) – i(t)
captures the disease dynamics. Here, Ro is the basic reproduction number which tells us how many new infections a single infectious individual has the potential to create. Devise a model for the relationship between i and s by solving di/ds = f(s,i). Assume that, initially the fraction of infectious individuals in the population is extremely low. Contrast the case Ro > 1 with Ro < 1 by using a graphical depiction of the model you develop. Does the picture make biological sense? Explain.
Answers
The basic reproduction number Ro affects the dynamics of infectious diseases.
To solve for the relationship between i and s, we start with the given equations:
ds/dt = - Ro s(t) i(t)
di/dt = Ro s(t) i(t) – i(t)
We can rearrange the second equation to get:
di/dt + i = Ro s(t) i(t)
Then, we can use the chain rule to find di/ds:
di/ds = (di/dt) / (ds/dt)
di/ds = [Ro s(t) i(t) - i(t)] / [- Ro s(t) i(t)]
di/ds = (Ro s(t) i(t) - i(t)) / (-Ro s(t) i(t))
di/ds = -1/Ro + 1/(Ro s(t))
Now we have an expression for di/ds in terms of s and Ro. We can plot this relationship for different values of Ro to see how the dynamics of the disease change.
When Ro > 1, we have a situation where each infectious individual has the potential to infect more than one person, on average. In this case, we expect the fraction of infected individuals to increase as the fraction of susceptible individuals decreases. This means that the plot of di/ds will be negative, since the slope of the line will be decreasing as we move from left to right. This makes biological sense, since a larger Ro means that the disease is more easily transmitted and can spread quickly through a population.
On the other hand, when Ro < 1, we have a situation where each infectious individual infects fewer than one person, on average. In this case, we expect the fraction of infected individuals to decrease as the fraction of susceptible individuals decreases. This means that the plot of di/ds will be positive, since the slope of the line will be increasing as we move from left to right. This also makes biological sense, since a smaller Ro means that the disease is less easily transmitted and will have a harder time spreading through a population.
Overall, the model and the graphical depiction of di/ds make biological sense and help us understand how the basic reproduction number Ro affects the dynamics of infectious diseases.
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due now pls help!!!!!!!!!!!
Answers
Answer:
A and D
Step-by-step explanation:
so sorry im in school
x+y=4
-y. -y
x=4-y
4-y-y=2
4-2y=2
-4 -4
-2y= -2
/-2. /-2
y=1
x+1=4
-1 -1
x=3
so A and D is correct
The price of a washing machine was decreased by 20% to £640.
What was the price before the decrease?
Answers
Answer:
3200
Step-by-step explanation:
So, 640 is 20% of this total
To find the total, first do 640 × 100 = 64000
Then do 64000 / 20 = 3200
To check, do 3200 * (20 / 100) = 3200 * 0.2 = 640
It checks out, so the price before the decrease was 3200
Write an equation to relate the flow of water from the 8-inch pipe (1600) to the flow of water from the 4-inch pipe (2400). enter your answer in simplest form.
Answers
The equation to relate the flow of water from the 8-inch pipe (1600) to the flow of water from the 4-inch pipe (2400) is 2400.
To relate the flow of water from the 8-inch pipe to the flow of water from the 4-inch pipe, we can use the equation of continuity, which states that the product of the cross-sectional area of a pipe and the velocity of the fluid is constant.
Let's assume that the velocity of water flowing through the 8-inch pipe is V1 and the velocity of water flowing through the 4-inch pipe is V2. The cross-sectional area of the 8-inch pipe is A1 = π\((8/2)^2\) = 64π square inches, and the cross-sectional area of the 4-inch pipe is A2 = π\((4/2)^2\) = 4π square inches.
According to the equation of continuity, A1 * V1 = A2 * V2.
Substituting the given values, we have:
64π * V1 = 4π * V2
Simplifying, we get:
16V1 = V2
So, the equation to relate the flow of water from the 8-inch pipe (1600) to the flow of water from the 4-inch pipe (2400) is:
1600 * 16 = 2400
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a father is twice as old as his son. 20 yrs ago the father was four times as old as his son. find their present ages
Answers
Answer:
son's present age = 30
father's present age=60
Step-by-step explanation:
his son's present age = x years
his father's present age = 2x years
before 20 years his son's age=(x-20) years
before 20 years father's age=(2x-20) years4(x-20)=(2x-20)
4x-80=2x-20
4x-2x=80-20
2x=60
x=30
Miss Gonzales opened an account with a deposit of $2,000,
The account earned annual simple interest.
She did not make any additional deposits or withdrawals.
At the end of 6 years, the balance of the account was $2,696.
What is the annual interest rate on this account?
Answers
Answer:
22.5
Step-by-step explanation:
What is the perimeter of the figure? Use 3.14 for pi
Answers
Answer:
42.84 cm
Step-by-step explanation:
It would be easiest to split this first. To find the circumference of a circle, it is 2πr.
d= 12
r= 6
C= 2π6
C= 12π
Divide by 2 because you are only trying to get the circumference of half the circle.
C= 6π
Now you can add all the other sides to find the total perimeter.
P= 6(3.14) + 10 + 6 + 8
P= 42.84 cm
Answer:
61.68cm
Step-by-step explanation:
semicircle=12x2x3.14x1/2=37.68
trapezium=10+6+8=24
s+t=61.68cm
shannon can run 1 lap around a track in 2 mintues how may laps around the track can she run in 7 minutes
Answers
the process by which green plants and some other organisms use sunlight to synthesize nutrients from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a by-product.
Find the Horizontal asymptote(s), if any, of the graph of the given f(x)= 5x³+2x²-1 x²-9
Answers
The given function is $f(x)=\frac{5x^3+2x^2-1}{x^2-9}$The horizontal asymptote is the straight line that the curve approaches as x tends to infinity or negative infinity. In general, if the degree of the numerator is less than or equal to the degree of the denominator of a rational function, then the horizontal asymptote is the x-axis or y = 0. If the degree of the numerator is one more than the degree of the denominator.
So, here we have to divide the function into long division so that we get a quotient and remainder part. Then, we can find the horizontal asymptote using the quotient. So, the division of the function can be done as follows:Now, we can write the function as follows:$f(x)=5x-2 + \frac{17x-163}{x^2-9}$When x tends to infinity, the value of the remainder will tend to zero, and the quotient will tend to $\frac{5x-2}{x}$. Therefore, we can say that the horizontal asymptote of the given function is y = 5x-2.
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There are 16 pies on a picnic table.
• Each pie is cut into pieces.
• Each piece is of a pie.
How many pieces of pie are on the picnic table?
Answers
Answer: 16
Step-by-step explanation:
it says there are 16 pieces in the first place this does not chnage
HELP ASAP one question for 100 points! total and big brain!!Find a number for M value so that it gives the equation no solution
y=6x+1
y+mx+3
Answers
Answer:
m = 6
Step-by-step explanation:
If the system of equations has no solutions, then the lines are parallel.
Parallel lines have the same slope.
The slope-intercept form of a linear equation is y = mx + b
(where m is the slope and b is the y-intercept)
Therefore, the slope of the equation y = 6x + 1 is 6
So the second equation should also have a slope of 6: y = 6x + 3
Now compare both
mx=6xm=6Hence m=6
pls help me with thid
Answers
Side 2 is parallel with 72° making them equal and Side 3 is parallel with 108° making them equal.
Side 1 = 108°
Side 2 = 72°
Side 3 = 108°
Side 2=72
Side 3=108
Sandra needs to buy meters of chain for a home project. Which decimal number is equal to the fraction ?
Answers
Answer:
i believe the answer is 0.85
Step-by-step explanation:
To find the decimal equivalent of a fraction, divide the numerator by the denominator. Because the number in the numerator is smaller than the number in the denominator, you have to place the decimal point after it and add zeros. hope this helps
Simone claims that the slope of the line through (-2, 7) and (3, 0) is the same as the slope of the line through (2, 1) and (12, -13) is simone's claim true or false
Answers
Answer:
Simone is correct
Step-by-step explanation:
Given
Line 1:
\((x_1,y_1) = (-2, 7)\)
\((x_2,y_2) = (3, 0)\)
Line 2:
\((x_1,y_1) = (2, 1)\)
\((x_2,y_2) =(12, -13)\)
Required
Is Simone correct?
Slope (m) is calculated using:
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
For Line 1
\(m = \frac{0 - 7}{3 - (-2)}\)
\(m = \frac{0 - 7}{3 +2}\)
\(m = \frac{-7}{5}\)
\(m = -\frac{7}{5}\)
For Line 2:
\(m = \frac{-13 - 1}{12 -2}\)
\(m = \frac{-14}{10}\)
Divide by 2/2
\(m = \frac{-14/2}{10/2}\)
\(m = \frac{-7}{5}\)
\(m = -\frac{7}{5}\)
By comparison, both lines have the same slope.
Hence, Simone is correct
Using the linear function created, find f(x)=8500. What does it mean in this context?
(Just look at the table for the info)
Answers
PLZ HELP ME!!!!!!!
If a rectangular field has a length of x+7 and a width of 4x-2, write an expression for the length of fencing to go around the outer edges.
I WILL MARK YOU THE BRAINLIEST!!!
Answers
Answer:
(2x+14) + (8x-4) = P
Step-by-step explanation:
P stands for perimiter
The expression for the length of fencing to go around the outer edges is 10x+10.
What is the perimeter of a rectangle?The perimeter of a rectangle is the twice the sum of length and width.Perimeter of a rectangle = 2(l+b)Length of the rectangular field is given by x+7
and width is given by 4x-2
Length of fencing outer edges is equal to its perimeter.
Perimeter of a rectangle = 2(l+b)
=2(x+7+4x-2)
=2(5x+5)
=10x+10
Hence, the length of fencing outer edges is 10x+10
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VOCABULARY In the Quadratic Formula, what is the expression for the discriminant?
Answers
Answer: b^2-4ac
Step-by-step explanation:
Howie works at a petting zoo. He fed a piglet 1/5 of a bottle of milk then gave 3/4 of what was left to the calf. How much of the bottle of milk did the calf drink
Answers
Answer:
\(\frac{3}{5}\)th part of the bottle will be drunk by the calf.
Step-by-step explanation:
Part of the bottle fed by the piglet = \(\frac{1}{5}\)
Milk left in the bottle = 1 - \(\frac{1}{5}\)
= \(\frac{5-1}{5}\)
= \(\frac{4}{5}\)
Milk drunk by the calf = \(\frac{3}{4}\)th of the left part
= \(\frac{3}{4}\times \frac{4}{5}\)
= \(\frac{3}{5}\)th part of the bottle
Therefore, \(\frac{3}{5}\)th part of the bottle will be drunk by the calf.
The dimensions of a box are x, 2x, and 3x. Each dimension is increased by 3. Calculate the volume of the box.
Answers
Answer:
The volume of the box would be 6x³+33x²+54x+27.
Step-by-step explanation:
The new dimensions of the box would be (x+3), (2x+3), and (3x+3). Since the volume of a rectangular prism are calculated by multiplying the length, width, and depth, we can just multiply all three of these dimensions together to come up with the answer.
Using foil on the first two terms originally you get (x+3)×(2x+3)= 2x²+3x+6x+9 which can be simplified to 2x²+9x+9.
Then you multiply this equation by (3x+3). (2x²+9x+9)×(3x+3)= 6x³+6x²+27x²+27x+27x+27 which can be simplified to 6x³+33x²+54x+27.
Answer:
6x³+33x²+54x+27
Step-by-step explanation:
dimensions are now:
x+3, 2x+3, 3x+3
Volume
V=lwhV= (x+3)(2x+3)(3x+3)= 3(x+1)(x+3)(2x+3)= 3( x² + 4x+3)(2x+3)= 3(2x³+11x²+18x+9)=6x³+33x²+54x+27Is this the answer anyone???
Answers
The number of hot dogs will Team A need to sell to reach its goal is 690.
What is the linear equation in one variable?
A linear equation in one variable is an equation that can be written in the form: y = mx + b,where "x" is the independent variable, "y" is the dependent variable, "m" is the slope of the line, and "b" is the y-intercept.
Let the number of dogs be x.
1.48x - 20 = 1000
1.48x = 1020
x = 1020/1.48
x = 690
Hence, the number of hot dogs will Team A need to sell to reach its goal is 690.
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Solve for x, help explain pls I dont get it
Answers
Answer:
12)
11-5+x=2x-1
x-2x=-1-11+5
-x=-7
x=7
13)
10+2x+12=x+17
2x-x=17-12-10
x=-5
Step-by-step explanation:
Write f(x)=sprt(6x+7) as simpler function by introducing other function notations such as g(x) and h(x).
Answers
Answer:
\(f(x) = h(g(x))\)
Step-by-step explanation:
Given
\(f(x) = \sqrt{6x + 7}\)
Required
Write as simpler function
Let
\(h(x) = \sqrt x\)
\(g(x) = 6x + 7\)
Apply composite function rule:
\(h(x) = \sqrt x\)
\(h(g(x)) = \sqrt{g(x)}\)
Substitute: \(g(x) = 6x + 7\)
\(h(g(x)) = \sqrt{6x + 7}\)
By comparison:
\(f(x) = h(g(x)) = \sqrt{6x + 7}\)
So:
\(f(x) = h(g(x))\)
Where:
\(h(x) = \sqrt x\)
\(g(x) = 6x + 7\)
On a number line that plots percentages, which value is equal to 1
Answers
Answer:
Step-by-step explanation:
As -1 is a negative integer it will be on the left side of the number line(taking 0 as origin). Lets try to locate -1 on an integer number line. As it is shown in the above figure the point marked with a red circle is -1. i.e., a unit distance left from the origin.
How do you graph y = x + 1 and y = -x + 21
Answers
Answer:
whatever x is, add one and that is y.
-x? add 21 and that is also y.
do not change x, and plot the point.
the maximum value of 4x - 6 is 54
Answers
Answer:
x=15
Step-by-step explanation:
1. Solve
4x-6=54
4x-6+6=54+6 <=== Add 6 to both sides
4x=60
4x÷4=60÷4 <=== divide by 4 on both sides
x=15
2. Check
4x15-6=54 <=== Replace x with 15 to check
60-6=54 <=== 4x15 equals 60
54=54 <=== 60-6 equals 54 and 54=54
so it is correct!!