Step-by-step explanation:
Hey there!
According to the question;
Perimeter of rectangle (p) = 154 m
Let the breadth of rectangle be "X" then length will be 2x+2.
Then;
Perimeter (p) = 2(l+b)
154 = 2((2x+2) + x)
154 = 2(3x+2)
154 = 6x + 4
or, 6x = 154-4
or, X = 150/6
Therefore, X= 25.
Hence;
Length = 2*25+2 = 52 m
Breadth = 25 m
Hope it helps!
We can assume,
Perimeter of rectangle = 154 m
Breadth = x
Length = 2x + 2
Now, perimeter = 2(l+b)
[tex] \sf \to 154= 2((2x+2) + x)[/tex]
[tex] \sf \to 154 = 2(3x+2)[/tex]
[tex] \sf \to 6x = 154-4[/tex]
[tex] \sf \to x = \frac{150}{6} = 25[/tex]
Then,
Breadth = 25 m
Length [tex] \sf = 2x + 2[/tex]
[tex] \sf \to (2 \times 25) + 2[/tex]
[tex] \sf \to 52 \: m[/tex]
if you roll a single die and get 4 fives in a row what is the probability that you would get a 5 on the next roll
Answer
(1/6)⁴ = 1/1296
Step-by-step explanation:
robabilty of getting a 5 in a throw of dice is 1/6 . So, the required probability of getting 4 5’s in rolling a dice 4 times is (1/6)4
Solve for X.
-8(1 - 4x) = -104
Please show work
Answer:
-3
Step-by-step explanation:
-8(1-4x)=-104
1-4x=-104/-8
1-4x=13
4x=1-13
4x=-12
x=-12/4
x=-3
Encontrar la magnitud de la velocidad angular de un disco de 0.75 rev/así como la magnitud de su desplazamiento angular Si su movimiento duró 180 segundos
Answer:
La magnitud de la velocidad angular es 0.026 rad/s y la magnitud del desplazamiento angular es 4.71 rad.
Step-by-step explanation:
Podemos encontrar la magnitud de la velocidad angular (ω) del disco con la siguiente ecuación:
[tex] \omega = \frac{\theta}{t} [/tex]
En donde:
θ: es el desplazamiento angular = 0.75 rev
t: es el tiempo = 180 s
Primero debemos cambiar las unidades del desplazamiento angular de revoluciones a radianes:
[tex] \theta = 0.75 rev*\frac{2\pi rad}{1 rev} = 4.71 rad [/tex]
Entonces, la velocidad angular es:
[tex] \omega = \frac{4.71 rad}{180 s} = 0.026 rad/s [/tex]
Por lo tanto, la magnitud de la velocidad angular es 0.026 rad/s y la magnitud del desplazamiento angular es 4.71 rad.
Espero que te sea de utilidad!
Which of the following is an even function?
The one you put is actually correct
At a certain store, a CD costs $12. If the cost of CDs were graphed as the output, compared to the number of
CDs purchased as input, which of the following would not be true of the graph?
A. The set of points would all lie on the same line.
B. The set of points would include the origin.
C. The set of points would rise from left to right.
D. The set of points would not graph a function.
Please select the best answer from the choices provided
A
B
C
D
A sequence has a common ratio of Three-halves and f(5) = 81. Which explicit formula represents the sequence?
Answer:
[tex]f(n) = \frac{32}{3}(\frac{3}{2})^n[/tex]
Step-by-step explanation:
Given
[tex]r = \frac{3}{2}[/tex]
[tex]f(5) = 81[/tex]
Required
The geometric sequence
A geometric sequence is represented as:
[tex]f(n) = ar^{n-1}[/tex]
Replace n with 5
[tex]f(5) = ar^{5-1}[/tex]
[tex]f(5) = ar^4[/tex]
Substitute values for f(5) and r
[tex]81 = a* (\frac{3}{2})^4[/tex]
Open bracket
[tex]81 = a* \frac{81}{16}[/tex]
Make a the subject
[tex]a = \frac{81 * 16}{81}[/tex]
[tex]a = 16[/tex]
So, the explicit function is:
[tex]f(n) = ar^{n-1}[/tex]
[tex]f(n) = 16 * (\frac{3}{2})^{n-1}[/tex]
Split
[tex]f(n) = 16 * (\frac{3}{2})^n \div (\frac{3}{2})[/tex]
Convert to multiplication
[tex]f(n) = 16 * (\frac{3}{2})^n * \frac{2}{3}[/tex]
[tex]f(n) = \frac{32}{3}(\frac{3}{2})^n[/tex]
Answer:
f(x) = 16*(3/2)^(x-1)
Step-by-step explanation:
right on edge
The force "F" applied on a spring and its extension "x" is given by the relation F = - k*x where "k" is the constant of proportionality.
Find "k" if a force of 10 Newtons produces an extension of 5 cm.
A. - 50 N/cm
B. 0.5 N/cm
C. - 20 N/cm
D. - 2 N/cm
HELP
Answer:
F = -k × X
10 Newtons = -k × 5 cm -k = 10 N/5 cm
-k = 2N/cm
k = -2N/cm
The value of spring constant "k" is -2 N/cm. Thus, the correct answer is option D.
To find the constant of proportionality "k," we can rearrange the formula:
F = -k x x
Since we are given that a force of 10 Newtons produces an extension of 5 cm, we can substitute these values into the equation:
10 N = -k x 5 cm
To solve for "k," we divide both sides of the equation by 5 cm:
k = -10 N / 5 cm
Simplifying the expression:
k = -2 N/cm
Therefore, the value of "k" is -2 N/cm. Thus, the correct answer is option D.
To know more about an expression follow
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PLEASE HELP ITS EASY BUT LIKE yh
Answer:
40 I told u
Step-by-step explanation:
right angles are 90 degrees
Answer :
x +25 +25 =90 degrees
x +50 =90 degrees
x = 90 -50
x = 40 degrees
find the sum of the first 20 terms of the arithmetic sequence 4, -4, -12, -20
Answer:
The sum of the first 20 terms is -1440.
Step-by-step explanation:
We want to find the sum of the first 20 terms of the arithmetic sequence:
4, -4, -12, -20...
The sum of an arithmetic sequence is given by:
[tex]\displaystyle S=\frac{k}{2}(a+x_k)[/tex]
Where k is the number of terms, a is the initial term, and x_k is the last term.
Since we want to find the sum of the first 20 terms, k = 20.
Our initial term a is 4.
Our last term is also the 20th term as we want the sum of the first 20 terms.
To find the 20th term, we can write an explicit formula for our sequence. The explicit formula for an arithmetic sequence is given by:
[tex]x_n=a+d(n-1)[/tex]
Where a is the initial term, d is the common difference, and n is the nth term.
Our initial term is 4. From the sequence, we can see that our common difference is -8 since each subsequent term is eight less than the previous term. Therefore:
[tex]x_n=4-8(n-1)[/tex]
Then the last or 20th term is:
[tex]x_{20}=4-8(20-1)=4-8(19)=-148[/tex]
Therefore, the sum of the first 20 terms are:
[tex]\displaystyle\begin{aligned} S_{20}&=\frac{(20)}{2}\left((4)+(-148))\\&=10(-144) \\&= -1440\end{aligned}[/tex]
Answer:
- 1440
Step-by-step explanation:
First-term is 4 and we subtract 8 to get the next term so the general term is
a(n) = 4 - 8(n -1)
The sum of the sequence is the average of the first and last terms multiplied by the number of terms: (a1 + an)/2 * n
We need the 20th term: a20 = 4 - 8(20–1) = 12 - 160 = - 148
The sum is (4 - 148)/2 * 20 = 10*(-144) = - 1440
Which algebic expression is “ ten less than a number divided by twelve “
SOMEONE HELP ASAP PLEASEEEEE!!!!!
Answer:
the answer is 35% probability
your welcome
Solve the inequality and express your answer in interval notation
x^2 - 12x + 3 <0
Answer:
x is ( -∞, 6-√(33) ) U ( 6+√(33) , -∞ )
Step-by-step explanation:
I have attached the explanation on the image above, hopefully this help
Identify the parent function.
Answer:
Reciprocal
Step-by-step explanation:
could someone help me with this ASAP?
Answer:
just draw a circle that connects all of the 10's on the graph.
a circle is NOT a function
Step-by-step explanation:
Suppose that a department contains 10 men and 12 women. How many ways are there to form a committee with six members if it must have the same number of men and women
Answer:
The number of ways is 26,400 ways
Step-by-step explanation:
Given;
total number of men, M = 10
total number of women, W = 12
number of committees to be formed = 6
If there must be equal gender, then it must consist of 3 men and 3 women.
[tex]The \ number \ of \ ways = 10C_3 \times 12C_3\\\\The \ number \ of \ ways =\frac{10!}{3!7!} \times \frac{12!}{3!9!} \\\\T he \ number \ of \ ways = 120 \times 220 = 26,400 \ ways[/tex]
Therefore, the number of ways is 26,400 ways
Using the approximation of 5 miles = 8 km
How many km is 12.5 miles?
Answer:
20km is in 12.5miles
Step-by-step explanation:
5miles= 8km
12.5miles=xkm
12.5÷5miles=2.5miles
2.5miles/km
2.5×8km=20km
(100 points)
1.One of the addends of 17,300 is 11,210. What is the other addend?
a. What are they asking for? __________________
b. identify all the necessary numbers. __________________
c. write the equation or problem in numeric form. ______________
d. solve the math. ______________________________
e.write the answer. ________________________________
2. If one of the factors of 954 is 318 , what is the other factor?
a. What are they asking for? __________________
b. identify all the necessary numbers. __________________
c. write the equation or problem in numeric form. ______________
d. solve the math. ______________________________
e.write the answer. ________________________________
3. HEector bought seven bokes of fruit. Each boc contained 24 fruit. How much fruit did Hector buy?
a. What are they asking for? __________________
b. identify all the necessary numbers. __________________
c. write the equation or problem in numeric form. ______________
d. solve the math. ______________________________
e.write the answer. ________________________________
Answer:
1a. The other addend of 17,300
1b. 17,300 and 11,210
1c. 17,300-11,210
1d. 17,300-11,210= 6090
1e. 6090
2a. The other factor of 954
2b. 954 and 318
2c. 954-318
2d. 954-318= 636
2e. 636
3a. The total amount of fruit Hector bought.
3b. 7 and 24
3c. 7 x 24
3d. 7 x 24 = 168
3e. 168 fruits
If a flexible air-filled container has a volume of 40 cu ft on the surface, what would the volume be at 99 feet in sea water
Answer:
50 cu ft
Step-by-step explanation:
The volume of flexible air filled container at 99 feet in sea water is 10 cu.ft.
What is Boyle's law?Boyle's Law states that If the temperature is constant, the volume of a gas is inversely proportional to the absolute pressure.
V 1/V2 =P2/P1
V2 = P1 x V1 /P2
Substitute 60 psi for P2, 14.7 psi for P1 and 40cu.ft for V1, we get the volume V2
V2 = 40 x 14.7 / 60
V2 = 9.8 cu.ft
Volume is approximately 10 cu.ft.
Thus, the volume of flexible air filled container at 99 feet in sea water is 10 cu.ft.
Learn more about Boyles law.
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What is the slope of the line represented by the equation y=
iy=-x+ .
0
를
○ 4
0를
O
0를
Answer:
-1/2
Step-by-step explanation:
Equation is put in slope intercept form:
y = mx + b
Where m = slope
-1/2 takes the place of m meaning that the slope is -1/2
Using linear function concepts, it is found that the slope of the line is of:
[tex]-\frac{1}{2}[/tex]
What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem, the equation is:
[tex]y = -\frac{1}{2}x + \frac{1}[4}[/tex]
Thus the slope is of [tex]m = -\frac{1}{2}[/tex].
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3 + 5 . (-3)=
5 . ( - 6 + 2 ) - 4=
- 5 + 8 . 2 + 1=
4/6 + 13/6 - 5/6=
2 . 8 - 5 . (3 - 4)=
7/3 . 5/2=
Step-by-step explanation:
PEMDAS rule
3 -15 = -12
-20 - 4 = -24
-5 + 16 + 1 = 12
= 12/6 which = 2
15 + 5 = 20
35/6 = 5 5/6
Find the x and y intercept for the equation: − = 4
Answer:
x = (4,0)
y = (0,-4)
Step-by-step explanation:
x - y = 4
(0) - y = 4
-(-y) = -(4)
y = -4
x - (0) = 4
x = 4
x = (4,0)
y = (0,-4)
Answer:
x = 4 . 0
y = 0 . -4)
Step-by-step explanation:
PLEASE HELP!10 POINTS
find the maximum value of c=x+3y subject to the following constraints:
9x+2y≥35
x+3y≥14
x≥0
y≥0
Hello,
14
just see my picture
A stereo was originally priced at 75.50. it was marked down 24%. a store had a big sale of 60% off the lowest marked price. what was the final price of the stereo
Answer:
We can calculate the price with both sales by multiplying the 75.5 units of money by both percentages (to multiply them, we divide them by 100 first):
75.5 * 0.24 * 0.6 [tex]\approx.[/tex] 10.8
If A and B are independent events, P(A and B) =
Answer:
If A and B are independent events, then the events A and B' are also independent. Proof: The events A and B are independent, so, P(A ∩ B) = P(A) P(B). From the Venn diagram, we see that the events A ∩ B and A ∩ B' are mutually exclusive and together they form the event A.
Answer:
Step-by-step explanation:
Given A and B are independent events, P(A and B) = P(A)*P(B)
PLZZ HELPPPPPP I NEED TO FINISH THIS IN 8 MINS
Answer:
$29.69
Step-by-step explanation:
23.52 * 1.1 = $25.872 so this is the marked up price. ----- (1.1 = 110%)
25.872 * 0.1475 = $3.81612 is the sales tax.
Total is 25.872 + 3.81612 ~ $29.69
PLEASE HELP!!!!!!!!!
A car manufacturer does performance tests on its cars. During one test, a car starts from rest, and accelerates at a constant rate for 20 seconds. Another car starts from rest three seconds later, and accelerates at a faster constant rate. The equation that models the distance (d) in metres the first car travel travels is: d=1.16t^2, where t is time, in seconds, after the car starts. The equation for the second car is: d= 1.74(t-3)^2
a. In the context, what is a suitable domain for the graph of this system?
b. At what time will both cars have driven the same distance?
c. How far will they have driven at this time?
Answer:
15.66
Step-by-step explanation:
Consider the equation: x^2 - 4x + 4 = 2x
Rewrite the equation by completing the square:
Your equation should look like (x+a)^2 = b or (x-c)^2 = d
______
What are the solutions to the equation? (1 right answer!)
Answer:
(x+3)^2=5
Step-by-step explanation:
x^2-4x+4=2x
x^2-6x+4=0
x^2-6x+9-5=0
(x-3)^2-5=0
(x-3)^2=5
find the value of x pls show work
Answer:
x = 55°
Step-by-step explanation:
120° = x° + 65° (alternate interior angles are congruent)
Subtract 65 from each side
120° - 65° = x° + 65° - 65°
55° = x
Therefore,
x = 55°
What is the solution of 5/2x-7=3/4x+14
Answer:
D. x = 12
Step-by-step explanation:
if you plug 12 in
the solutoon says 23 = 23 which is correct
Answer:D 12
Step-by-step explanation:
I took the test
What is the value of tan 0 in the unit circle below?
Answer:
1 / sqrt(3)
Step-by-step explanation:
tan(o) = sin(o) / cos(o)
sin(o) is the vertical distance from the x-axis. and that is in this basic circle the y-coordinate of the point.
cos(o) is the horizontal distance from the y-axis. that is the x-coordinate of the point.
so,
tan(o) = (1/2) / (sqrt(3)/2) = (2×1) / (2×sqrt(3)) = 1/sqrt(3)