It takes 6 hours to reach the destination when traveling at 388 mph.
Speed is the ratio of total distance traveled to the total time taken It is given by:
Speed = distance/time
Given that it takes 4 hours to reach a destination when travelling at 582mph, hence the distance is:
582 = distance / 4
distance = 2328 miles
If travelling at 388 mph, the time is:
388 = 2328 / time
time = 6 hours
Hence it takes 6 hours to reach the destination when traveling at 388 mph.
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Distribute: -(14s+9)-7(s+11)
Answer: -21s-86
Step-by-step explanation:
Distribute the -1 to the 14s+9 (this means multiply-1 and 14s, then multiply -1 and 9) to get -14s-9. Then distribute the -7 to the s+11 (this mean multiply -7 and s, then multiply -7 and 11) to get -7s-77. You will now have the equation -14s-9-7s-77. Simplify this by adding like terms (-14s-7s) and (-9-77) you will get the equation: -21s-86
Distributing -(14s+9)-7(s+11) gives -14s -9 -7s -77; and further simplification results into -21s -86
From the question,
We are to distribute -(14s+9)-7(s+11)
To do this,
We will clear the bracket by distributing the terms outside
That is,
-(14s+9)-7(s+11) becomes
-14s -9 -7s -77
Now, if desired, we can simplify further by collecting like terms
-14s -9 -7s -77
-14s -7s -9 -77
Then, we get
-21s -86
The simplified expression is -21s -86
Hence, distributing -(14s+9)-7(s+11) gives -14s -9 -7s -77; and further simplification results into -21s -86
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You have no more than $60 to spend. You want a drink that costs $1.50 including tax, and you
want to buy a pair of pants, which will have 4% sales tax. What is the inequality that represents
the pre-tax price of a pair of pants that you can afford if you buy the drink? *
X + 0.04x + 1.50 > 60
X + 0.04x + 1.50 2 60
X + 0.04x + 1.50 60
X + 0.04x + 1.50 60
Answer:
X + 0.04x + 1.50 > 60
Step-by-step explanation:
f(x) = -x^2+ 6x -10
write each function in vertex form and give the vertex
Answer:
Vertex form: f(x) = – (x – 3)² – 1
vertex: (3, -1)
Step-by-step explanation:
Given the quadratic function, f(x) = -x²+ 6x -10:
where a = -1, b = 6, and c = -10
The vertex of a parabola is the point at which the parabola intersects the axis of symmetry. The axis of symmtery occurs at x = h. Therefore, the x-coordinate of the vertex is the same as h.
To find the vertex, (h, k), you need to solve for h by using the formula: [tex]h = \frac{-b}{2a}[/tex]
Plug in the values into the formula:
[tex]h = \frac{-b}{2a}[/tex]
[tex]h = \frac{-6}{2(-1)} = 3[/tex]
Therefore, h = 3.
Next, to find the k, plug in the value of h into the original equation:
f(x) = -x²+ 6x -10
f(x) = -(3)²+ 6(3) -10
f(x) = -1
Therefore, the value of h = -1.
The vertex = (3, -1).
Now that you have the value for the vertex, you can plug these values into the vertex form:
f(x) = a(x - h)² + k
a = determines whether the graph opens up or down, and makes the parent function wider or narrower.
If a is positive, the graph opens up.If a is negative, the graph opens down.h = determines how far left or right the parent function is translated.
k = determines how far up or down the parent function is translated.
Plug in the vertex, (3, -1) into the vertex form:
f(x) = – (x – 3)² – 1
This parabola is downward-facing, with its vertex, (3, -1) as its maximum point on the graph.
- Given: C is the midpoint of AE
C is the midpoint of BD
AE = BD
=
Prove: AC = CD
A midpoint is a point that bisects a line into two equal parts.
Given that C is the midpoint of AE, hence;
AC + CE = AE ........ 1
Similarly, if C is the midpoint of BD, then;
BC + CD = BD................... 2
If AE = BD, then we will equate 1 and 2 to have:
AC + CE = BC + CD
Also since CE = BC, the equation becomes
AC + CE = CE + CD
AC = CD (Proved)
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Please Help, This is confusing. What is the equation of the line that passes through the point (2,-6) and has a slope of -1?
Answer:
ok ok it is y+6=-1(x-2)
Step-by-step explanation:
brainliest?
Answer:
Firstly, you can use the slope and the first point to find a second point:
2 + 1 = x2 and 6 + 5 = y2 because the slope is 5/1.
Next you can write the equation in point-slope form (remember point-slope form is y - y1 = m(x - x1):
y - 11 = 5(x - 3)
Another equation would be B because B is the correct equation if you choose 2 as x2 and 6 as y2.
Hope this helps!
Show that:
[tex]\bigg(\frac{ \sqrt{7} + i \sqrt{3} }{\sqrt{7} - i \sqrt{3} } + {\frac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } } \bigg) \: is \: real \\ [/tex]
Please answer this question.
Step-by-step explanation:
[tex]\large\underline{\sf{Solution-}}[/tex]
Consider,
[tex]\rm \longmapsto\:\dfrac{ \sqrt{7} + i \sqrt{3} }{ \sqrt{7} - i \sqrt{3}} + \dfrac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } [/tex]
On taking LCM, we get
[tex]\rm \: = \: \dfrac{ {( \sqrt{7} + i \sqrt{3})}^{2} + {( \sqrt{7} - i \sqrt{3})}^{2} }{( \sqrt{7} + i \sqrt{3})( \sqrt{7} - i \sqrt{3})} [/tex]
We know,
[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {(x + y)}^{2} + {(x - y)}^{2} = 2( {x}^{2} + {y}^{2})}}} \\ [/tex]
and
[tex] \purple{\rm \longmapsto\:\boxed{\tt{ (x + y)(x - y) = {x}^{2} - {y}^{2} \: }}} \\ [/tex]
So, using these Identities, we get
[tex]\rm \: = \: \dfrac{2\bigg[ {( \sqrt{7})}^{2} + {(i \sqrt{3}) }^{2} \bigg]}{ {( \sqrt{7}) }^{2} - {(i \sqrt{3})}^{2} } [/tex]
[tex]\rm \: = \: \dfrac{2(7 + 3 {i}^{2})}{7 - {3i}^{2} } [/tex]
We know,
[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {i}^{2} = - 1}}} \\ [/tex]
So, using this, we get
[tex]\rm \: = \: \dfrac{2(7 - 3)}{7 + 3} [/tex]
[tex]\rm \: = \: \dfrac{2 \times 4}{10} [/tex]
[tex]\rm \: = \: \dfrac{4}{5} [/tex]
Hence,
[tex] \red{\rm\implies \:\boxed{\sf{ \dfrac{ \sqrt{7} + i \sqrt{3} }{ \sqrt{7} - i \sqrt{3}} + \dfrac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } \: is \: purely \: real}}}[/tex]
A formula used for calculating velocity is v=1/2at^2 what is a expressed in terms of v and t
Answer:
[tex]v = \frac{1}{2} a {t}^{2} \\ a = \frac{2v}{ {t}^{2} } [/tex]
'a' can be expressed in terms of 'v' and 't' as -
[tex]$a=\frac{2v}{t^{2} }[/tex]
We have the following expression -
[tex]$v = \frac{1}{2} at^{2}[/tex]
We have to express → a in terms of v and t.
What is the value of x in -Sin([tex]2n\pi x[/tex]) = 0.785?On solving, we get -
Sin([tex]2n\pi x[/tex]) = 0.785
Sin([tex]2n\pi x[/tex]) = Sin ([tex]\frac{\pi }{4}[/tex])
2n[tex]\pi[/tex]x = [tex]\frac{\pi }{4}[/tex]
x = [tex]$\frac{1}{8n}[/tex]
According to the question, we have -
[tex]$v = \frac{1}{2} at^{2}[/tex]
[tex]$a=\frac{2v}{t^{2} }[/tex]
Hence, 'a' can be expressed in terms of 'v' and 't' as -
[tex]$a=\frac{2v}{t^{2} }[/tex]
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Two cars start at a given point and travel in the same direction at average speeds of 45 miles per hour and 52 miles per hour (see figure). How far apart will they be in 4 hours?
Answer:
half apart
Step-by-step explanation:
hope it help you
A dresser with the mirror attached is 6.28 feet tall. The difference between their heights is 1.28 feet. What are the heights of the dresser and the mirror by themselves? Let the height of the dresser and the height of the mirror = y. =x
Answer:
Step-by-step explanation:
y = dresser height
x = mirror height
x+y=6.28
x-y = 1.28
x = 1.28+y
x+y=6.28
(1.28+y)+y=6.28
2y = 5
y = 2.5
Dresser = 2.5 ft
Dresser + Mirror = 2.5 + 1.28 = 6.28 ft
Mirror = 1.28 ft
Jaoquin buys 3 dozen lightbulbs. After changing the lightbulbs in his house, he has 15 lightbulbs left. How many lightbulbs did he use?
Answer:
21
Step-by-step explanation:
1 dozen=12
3 dozen= 36
15-36=21
can someone please help me
Answer:
x = 1 and it's undefined yaaaaaaaaaaa
the pool at the apartment is 30 feet long 20 feet wide and five feet deep it has been filled to 4 feet how many more cubic inches does it need
Answer:
600 cubic feet
Step-by-step explanation:
Solve for the value of x that makes likes r and s parallel.
What is an algebraic expression for this word phrase?
5 more than the product of 7 and n
5 + 7n
5(7+n)
7(5+n)
5 + 7 + n
Find the value of each of the variables.
A X = 12, y = 15, z = 20
B. X = 9,7 = 15,2 - 20
C. X = 9,y = 18,2 = 20
D. X = 12, y = 18,2 = 20
Answer:B
Step-by-step explanation:
B
30 POINTS AND BRAINLEST FOR ANSWER HELP!!!!!
Answer:
a
Step-by-step explanation:
find the next two terms of the sequence 1.1 , 2.2 , 3.3, 4.4, ….. A) 4.5, 5.5 B ) 5.6 C) 5.6, 6.7 D) 5.5, 6.6
Answer:
D)
Step-by-step explanation:
May I please receive help?
Answer:
1 and 2 are parallel. 1 and 3 are perpendicular. 2 and 3 are perpendicular.
Answer: I'm gonna try my best. 1). neither 2). Parallel 3).perpendicular
Step-by-step explanation:
Find m FGN
See picture and give explanation please! Thank you!
Answer:
m<FGN=(7x+18)º=88º
Step-by-step explanation:
(7x+18)º=(6x-10)º+38º
x=10
so
m<FGN=(7x+18)º=88º
hope this is the answer you're looking for.
Find the slope of the line
(18, 7) (8, 10)
I need help asap pleaseeeee
If you have a collection of 20 items, how many different groups of 8 can you create?
Answer:
you can create 2 groups of 8 and you will have a group of 4 left
Step-by-step explanation:
can someone help me?
Step-by-step explanation:
a)
a whole circle represents always 360 degrees.
we see the angle J is 72 degrees. the angle K is 90 degrees.
that leaves us for M and L together :
360 - 72 - 90 = 198 degrees.
we now know that twice as many people voted for L as for M. that means the angle L is twice as big as the angle M
on other words : L = 2M
and when we now say
198 = L + M
this means
198 = 2M + M = 3M
M = 66 degrees
and L is then 2M = 2×66 = 132 degrees
b)
again, the whole circle is 360 degrees.
J covers 72 of these 360 degrees.
that is 72/360 of all voting people.
72/360 = 1/5
the total of all voting people was 15840.
so, 1/5 of 15840 is
15840/5 = 3168
that means 3168 people voted for J.
Jasper and Muthu cycled from Town P to Town Q. Jasper cycled at a speed of 36 km/h
and reached Town Q in 5 h. Muthu's cycling speed was 40 km/h.
(a) What was the distance between Town P and Town Q?
(b) How many minutes did Muthu take to cycle from Town P to Town Q?
Answer:
a,khoảng cách từ thị trấn P đến thị trấn Q là
Step-by-step explanat io n:
36*5=180(km)
b,Muthu đi xe đạp từ thị trấn P đến thị trấn Q hết số phút là:
180/40=4,5(h)=270(phút)
Consider U = { 5,10, 15, 20, 25, 30, 35, 40} , A = { 20, 30, 40 } . Find A’
Answer:
A {5, 10, 15, 20}
Step-by-step explanation:
Helpp! who ever gets it right gets brainliest!
1. K+9, When k = 5
Answer:
2. 4x - 3, when x = 2
Answer:
3. t/5 + t, when t = 15
Answer:
4. 5x2 + 3x, when x = 2
Answer:
5. 6y - 5, when y+7
Answer:
6. 4x2 + 3x, when x = 6
Answer:
7. 56/x + 3y, when x = 4 and y = 3
Answer:
8. 4d2 - 3d, when 4 = -2
Answer:
9. + 3p - 5t + 3, when p= 2 and t = 1
Answer:
10. 3(w-4) 2, when w + -5
Answer:
Answer:
1. 14
2. 5
3. 18
4. 16
5. 37
6. 26
7. 23
8. -10
9. 4
10. -54
Some questions are wrong so i answered what i understood. And giving me brainest will be helpful.
what is the product of 1/2 × 2/3 × 3/4 × 4/5
Answer:
5/6
Step-by-step explanation:
brainly pls
Answer:
5/6
Step-by-step explanation:
make me brainliest please
Parallel to the graph of y = 7x - 6 with y-intercept (0,3)
Answer:
The graph of the lines is given in the picture below:
[tex]\sqrt3+2\sqrt2 - \sqrt6-4\sqrt2[/tex]
Which of the following relations is a function?
O {(9,0), (10,3), (11, 6), (11, 9)}
O {(1, 1), (1, 2), (1, 3), (1,4)}
O {(1, 3), (2, 10), (6, 24), (24, 6)}
O {(0,6), (-1, 10), (-1, 14), (-3, 18)}
Answer:
O {(1, 3), (2, 10), (6, 24), (24, 6