They should use the conversion factor
1 mile = 5280 feet
To go from feet to miles, you divide by 5280
So,
4224 ft = 4224/5280 = 0.8 miles
The distance between their homes is exactly 0.8 miles
Ai giải giúp mình giải bài này với
[tex]\sqrt{36x^{2} -60x+25} =4[/tex]
Answer:
x=[tex]\frac{3}{2}[/tex] and x=[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
[tex]\sqrt{36x^2-60x+25}=4[/tex]
=> [tex]\sqrt{36x^2-60x+25}^{2} =4^{2}[/tex]
=> [tex]{36x^2-60x+25}=16[/tex]
=> [tex]36x^2-60x+25-16=16-16[/tex]
=> [tex]36x^2-60x+9=0[/tex]
=> [tex]x_{1,\:2}=\frac{-\left(-60\right)\pm \sqrt{\left(-60\right)^2-4\cdot \:36\cdot \:9}}{2\cdot \:36}\\\\\sqrt{\left(-60\right)^2-4\cdot \:36\cdot \:9}=48[/tex]
=> [tex]x_{1,\:2}=\frac{-\left(-60\right)\pm \:48}{2\cdot \:36}[/tex]
=>[tex]x_{1} = \frac{-\left(-60\right)+48}{2\cdot \:36}\\\\x_{1}=\frac{60+48}{2\cdot \:36}\\\\x_{1}=\frac{108}{72} \\\\\\x_{1}=\frac{3}{2}\\[/tex]
=> [tex]x_{2}=\frac{-\left(-60\right)-48}{2\cdot \:36}\\\\x_{2} =\frac{60-48}{2\cdot \:36}\\\\x_{2}=\frac{12}{2\cdot \:36}\\\\\x_{2}=\frac{12}{72}\\\\x_{2}=\frac{1}{6}[/tex]
Solve the quadratic equation numerically (using tables of x- and y-values).
x^2 +
+ 2x + 1 = 0
x = -1 or x = -1
x= -3 or x = -3
b.I x= -4 or x= -3
d. x = 2 or x = -1
a
C.
Please select the best answer from the choices provided
A
B
ОО
The best answer from the choices provide is x = -1 or x = -1
Given the expression
[tex]x^2 + 2x + 1 = 0[/tex]
Factorizing the given expression
[tex](x^2 +x)+(x + 1) = 0\\[/tex]
Factor out the common variable from both brackets
[tex]x(x+1)+1(x+1)=0\\(x+1)(x+1)=0\\x+1 \ and \ x+1=0\\x =0-1 \ and \ x=0-1\\x=-1 \ and \ x =-1[/tex]
Hence the best option is x = -1 or x = -1
Learn more about factorization here: https://brainly.com/question/16099992
The solutions for [tex]f(x) = x^{2}+2\cdot x + 1 = 0[/tex] are [tex]x_{1} = x_{2} = -1[/tex].
We can estimate the roots by a numerical approach, which consists in evaluating the quadratic function ([tex]f(x) = x^{2}+2\cdot x + 1 = 0[/tex]) for a set of values of [tex]x[/tex]. We consider the set of values between [tex]-4\le x \le 4[/tex]:
[tex]\,\,\,\,\,\,x \,\,\,\,\,\,\,\,f(x)\\-4\,\,\,\,\,\,\,\,\,\,\,\,9\\-3\,\,\,\,\,\,\,\,\,\,\,\,4\\-2\,\,\,\,\,\,\,\,\,\,\,\,1\\-1\,\,\,\,\,\,\,\,\,\,\,\,0\\.\,\,\,0\,\,\,\,\,\,\,\,\,\,\,\,\,1\\.\,\,\,1\,\,\,\,\,\,\,\,\,\,\,\,\,4\\.\,\,\,2\,\,\,\,\,\,\,\,\,\,\,\,\,9\\.\,\,\,3\,\,\,\,\,\,\,\,\,\,\,\,\,16\\.\,\,\,4\,\,\,\,\,\,\,\,\,\,\,\,\,25\\[/tex]
According to the previous input, we conclude that roots of the quadratic formula are [tex]x_{1} = x_{2} = -1[/tex].
The solutions for [tex]f(x) = x^{2}+2\cdot x + 1 = 0[/tex] are [tex]x_{1} = x_{2} = -1[/tex].
Which
graph shows a dilation?
Answer:
There are no pictures but the dialtion would be the same figure but in an increased size. If you add pictures I can give you a more definite answer
Answer:
here you go!!
Hope it helps
Pls mark me a brainliest
Step-by-step explanation:
Someone please help me out!!!! Its a picture marking brainliest
Answer:
75.875m^2
Step-by-step explanation:
12-4=8
8x4=32
12x4=48
1/2(1.5+4)1.5=4.125
32+48-4.125=75.875
Help pls will give brainliest
Answer:
hello,
answer C
Step-by-step explanation:
area of the rectangle=2b*b=2b²
area of the half cercle= [tex]\\\dfrac{\pi*(\frac{c}{2})^2}{2} =\dfrac{\pi*c^2}{8} \\[/tex]
Area in blue= 2b²-πc²/8
Find the length of the third side. If necessary, write in simplest radical form
Answer:
5
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 + 10^2 = (5 sqrt(5))^2
a^2 +100 = 25(5)
a^2 +100 = 125
a^2 = 125-100
a^2 = 25
Taking the square root of each side
sqrt(a^2) = sqrt(25)
a = 5
three different are rung at intervals of 36 minutes 40 minutes and 48 minutes if they were rung together at 9 a.m. at what time would they be rung together again?
To find the time in which all the bells ring together, we need to find the LCM of 36,40,48.
Prime factorization of 36=2×2×3×3
Prime factorization of 40=2×2×2×5
Prime factorization of 48=2×2×2×2×3
Hence, LCM of 36,40,48=2×2×2×2×3×3×5=720 seconds.
720seconds=
60
720
minutes=12minutes
Hence, all the bells will ring together after 12 mi
Answer:
9pm or 12 hours from 9am.
The picture attached
Answer:
Step-by-step explanation:
m1 = 300
m2= 300(1+.05) = 300(1.05)
m3 = 300(1.05)(1.05)
m4= 300(1.05)(1.05)(1.05)
each subsequent month is the previous month times "1 + .05"
the "one" preserving the running total, and the extra ".05" adding the 5%
the repeating (1.05)(1.05)(1.05) is notational simplified using exponents
(1.05)(1.05)(1.05) = [tex](1.05)^{3}[/tex]
look at image above question and answers
Answer:
Step-by-step explanation:
Let's try all of them one by one.
Our equation is 4x + 2y + 3 = 19.
A:
20 + 6 + 3 = 19
Not quite!
B:
16 + 10 + 3 = 19
Still not it!
C:
12 + 4 + 3 = 19
We got it!
But still, we check D.
8 + 10 + 3 = 21
Nope.
C (or the 3rd option) is our answer.
I hope this helped.
HELPPP MEE PLEASE!!!
Consider the function shown on the graph.
Answer:
Domain x ≥ - 5
Range y ≥ - 2
Step-by-step explanation:
x ≥ - 5
y ≥ - 2
The translation of ABCD to A'B'C'D'
is given by (x+[?],y-[ ).
5
B
С
4
3
2
A А
D
C
1
B В
23 -2 -1 0
-1
-7 -6
-5
-4
1
2
3
4
2
A'
D'
Enter
Answer:
(x+2,y-4)
Step-by-step explanation:
The correct answer is (x+2, y-4)
The translation of ABCD to A'B'C'D' is given by (x + 2,y - 4).
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
Translation is the movement of a point either up, left, right or down.
ABCD has vertices at A(-6, 2), B(-5, 4), C(-2, 4) and D(1, 2). If ABCD is translated 4 units down and 2 units right, the new point is A'(-4, -2), B'(-3, 0), C'(0, 0) and D'(3, -2)
The translation of ABCD to A'B'C'D' is given by (x + 2,y - 4).
Find out more on transformation at: https://brainly.com/question/1548871
The number of days ahead travelers purchase their airline tickets can be modeled by an exponential distribution with the average amount of time equal to 15 days. Find the probability that a traveler will purchase a ticket fewer than ten days in advance. How many days do half of all travelers wait
Answer:
The right answer is:
(a) 0.4866
(b) 10.3972
Step-by-step explanation:
Let X be the number of days,
X is [tex]exp(\lambda)[/tex],
⇒ [tex]\lambda =\frac{1}{15}[/tex]
now,
⇒ [tex]F_x(x) = P(X \leq x)[/tex]
[tex]=1-e^{-\lambda x}[/tex]
[tex]=1-e^{-\frac{x}{15} }[/tex]
or,
[tex]x>0[/tex]
(a)
⇒ [tex]P(X<10)=F_x(10)[/tex]
[tex]=1-e^{\frac{10}{15} }[/tex]
[tex]=1-e^{\frac{2}{3} }[/tex]
[tex]=0.4866[/tex]
(b)
If the medium be m, then
[tex]P(X=m) = \frac{1}{2}[/tex]
[tex]=2^{-1}[/tex]
⇒[tex]1-e^{-\frac{m}{15} } = \frac{1}{2}[/tex]
[tex]e^{-\frac{m}{15} } = 2^{-1}[/tex]
[tex]m= 15\ ln2[/tex]
[tex]=10.3972[/tex]
what is the equation of the line that passes through the points (-10,-3) and (0,6)?
Answer:
9x-10y+60=0
Step-by-step explanation:
slope is,
m = (6-(-3))/(0-(-10))
= 9/10
b = -3-(9/10)×(-10)
= 6
So, the equation of the line is,
y = 9x/10+6
or, 9x-10y+60=0
Answered by GAUTHMATH
What is the slope of the line given by the equation y=-7X? O A 7 OB. 7 O c. -7 O D. 7
Answer:
C. -7
Step-by-step explanation:
See the picture for steps :)
Someone help me out please
Answer:
254.5
Step-by-step explanation:
Area = πr²
= π×9²
= 81π
= 254.5 (rounded to the nearest tenth)
Answered by GAUTHMATH
Find the principal amount invested if there is $9300 in the account after 5 years and earned 4% simple interest per year.
Answer:
11314.87379 (This is still rounded).
Step-by-step explanation:
Year 1:
9300*4%=372. 9300+372=9672.
Year 2:
9672*4%=386.88. 386.88=10058.88.
Year 3:
10058.88*4%=402.3552. 402.3552+10058.88=10461.2352.
Year 4:
10461.2352*4%=418.449408. 418.449408+10461.2352=10879.68461
Year 5:
10879.68461*4%=435.1873843. 435.1873843+10879.68461=11314.87379.
If the area of a rectangular field is x2 – 3x + 4 units and the width is 2x – 3, then find the length of the rectangular field.
Answer:x²-3 x+4/ 2x-3 units
Step-by-step explanation:
Area = Length * Width sq. units
x^2 - 3x + 4 = Length * 2x - 3
=>Length = x^2- 3 x + 4/ 2 x − 3 units
Un avión puede volar con la velocidad de 400 km por hora en atmósfera tranquila si cuando se dirige hacia el este el viento viene del Sur con la velocidad de 40 km por hora cuál es la dirección de su vuelo
Answer:
84,3 ° Sureste
Step-by-step explanation:
El diagrama vectorial que tipifica la pregunta se muestra en la imagen adjunta.
La dirección del avión es la dirección de la velocidad resultante.
Si esta dirección es θ
θ = tan ^ -1 (400/40)
θ = 84,3 ° Sureste
methemetikcs but anyways yea I don't understand this I'm any way shape or form.
Answer:
C
Step-by-step explanation:
The center of the large circle is Center D. It has can area of 900 pi square units. This means that according to the formula of the area of circle,
[tex]\pi {r}^{2} [/tex]
The radius of the large circle is 30.The diameter of the large circle is 60.Since Point D is the center of the large circle, by definition of a circle, diameter, and radius.
AD=30, DB=30, and AB=60.The area of the 3 small circles are equal so this means that the radius,any physical characteristics of the 3 circles are equal.
This means that each diameter of the 3 circles equally divide the diameter of the large circle into 3 equal parts.
This means Circle C diameter is 20.
Circumference is
[tex]\pi d[/tex]
The diameter is 20 so the circumference of Circle C is
[tex]20\pi[/tex]
Answer:
C
Step-by-step explanation:
hope it helps!!!!!!!!!!
Which of the following expressions are equivalent
Answer:
A and B
Step-by-step explanation:
A and B are the correct options
can you help me to do this
Answer:
keep the pic clearly
Step-by-step explanation:
keep the pic clearly
Find a recursive rule for the nth term of the sequence.
-7, -42, -252, -1512, ...
Answer:
-7*6^n
Step-by-step explanation:
The sequence is -7*6^n.
A few examples of this are the following,
ex.)
-7*6^0 = -7
-7*6^1 = -42
-7*6^2 = -252
Find the distance between the two points.
(-5,1)
(0,0)
[?]
Enter the number that
goes beneath the
radical symbol.
Answer:
[tex]{26}[/tex]
Step-by-step explanation:
[tex] \sqrt{(0 - ( - 5) ){}^{2} + (0 - 1) {}^{2} } [/tex]
[tex] = \sqrt{ {(5)}^{2} + {( - 1)}^{2} } [/tex]
[tex] = \sqrt{25 + 1} [/tex]
[tex] = \sqrt{26} [/tex]
Answered by GAUTHMATH
Answer:
26
Step-by-step explanation:
(-5, 1) (0, 0)
sqrt(5^2 + (-1^2))
sqrt(25 + 1)
sqrt(26)
So, 26 goes under the radical.
Which rules define the function graphed below? (15 points cuz I'm stumped)
y=2x+3; y=-1/3x+3
y=2x; y=-1/3x
y=3x+2; y=3x-1
y=-3x+3; y=x+3
Answer: Choice A
y=2x+3; y=-1/3x+3
==================================================
Explanation:
The left portion of the blue curve is y = 2x+3 but it is only graphed when x < 0 (we could argue that [tex]x \le 0[/tex] but I'll set that aside for the other portion).
The right portion is the line y = -1/3x + 3 and it's only graphed when [tex]x \ge 0[/tex]
So we could have this piecewise function
[tex]f(x) = \begin{cases}2x+3 \ \text{ if } x < 0\\-\frac{1}{3}x+3 \ \text{ if } x \ge 0\\\end{cases}[/tex]
Or we could easily swap the "or equal to" portion to move to the first part instead like this
[tex]f(x) = \begin{cases}2x+3 \ \text{ if } x \le 0\\-\frac{1}{3}x+3 \ \text{ if } x > 0\\\end{cases}[/tex]
Either way, we're involving the equations mentioned in choice A
số nào sau đây là nghiệm của đa thức x^2-2x+1
[tex]x^{2}[/tex]-2x+1=0
[tex](x-1)^{2}[/tex]=0
x-1=0
x=1
Solve the equation for all values of x.
(22 – 16)(2x2 + 49) = 0
Help please
Answer:
7i/sqrt(2)
Step-by-step explanation:
so, if I understand correctly, the equation is
(22-16)(2x² + 49) = 0
6(2x² + 49) = 0
that automatically means
2x² + 49 = 0
2x² = -49
x² = -49/2
x = sqrt(-49/2)
a square root of a negative number has no real solution. the solution is in the world of complex and imaginary numbers, which bases on the sqrt(-1) = i.
so, we get
x = sqrt(49/2 × -1) = (7/sqrt(2)) × I = 7i/sqrt(2)
4(2+-3)2?
I will give 10 points!
Answer:
-8
Step-by-step explanation:
Use PEMDAS (solve for parenthesis first):
4(2 + -3)2
4(2 - 3)2
4(-1)2
(-4)2
-8
4(2 + 3) 2
=4. 5. 2
=4 0
A circle has a radius of 9 mm. What is its circumference?
Use 3.14 for a
Answer:
56.52 mm
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *
C = 2 * 3.14 * 9
C = 56.52
Answer:
[tex]56.52\text{ mm}[/tex]
Step-by-step explanation:
The circumference of a circle with radius [tex]r[/tex] is given by [tex]A=2r\pi[/tex].
We're given a radius of 9 mm and told to use [tex]\pi=3.14[/tex]. Substituting these values, we get:
[tex]A=2(9)(3.14),\\A=\boxed{56.52\text{ mm}}[/tex]
Johnny has 304 apples, his sister ate 301 of them. How many apples does he have? After His sister ate the apples a magic fairy multiplied the apples by 281893.21 times. Now how many apples does Johnny have. After the faity multiplied the apples a demon can and divided the apples by pi * the square root of 9284. Now how many apples does Johnny have?
Answer:
1. John still has 3 Apples
2. John now has 845679,63 Apples (I'm not sure if you've written the number of the multiplying fairy right...).
3. If the * is multiplying:
John now has 25937228,2 Apples.
Step-by-step explanation:
Just use the calculator.
At the scene of an accident on a country road, police find skid marks stretching for 50 m.
Tests on the road surface show that a skidding car decelerates at 6.5 ms-2. Was the car which
skidded exceeding the speed limit of 25 ms-1 (90 kmh-1) on this road?
A. Yes B. No C. The information given is not sufficient.
Answer:
h and the rest are the best for me 7-Eleven you have to go for your
Step-by-step explanation:
happy new years and hope you have not forgotten you and have been busy happy weekend to your the as is have weekend lot here well the there is you idom not you big very for hard while and there can't a help night get be to good in the world of the world and the world is a doctor that is a good friend and is not a good person .
