It will take 2 hours for the ambulance to pass the police car.
Given that a police car leaves a crime scene heading east directly towards the hospital at 72 kilometers per hour, and an ambulance leaves a quarter of an hour later and also heads directly east towards the hospital at 81 kilometers per hour, to determine how long will it take for the ambulance to pass the police car, the following calculation must be performed:
72 x 0.25 = 18 81 - 72 = 9 18/9 = 2 72 x 0.25 + 72 x 2 = 162 81 x 2 = 162
Therefore, it will take 2 hours for the ambulance to pass the police car.
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Find an equation of the plane.
The plane that contains the line
x = 3 + 2t,
y = t,
z = 6 − t
and is parallel to the plane
2x + 4y + 8z = 16
Answer:
x +2y +4z = 27
Step-by-step explanation:
The parallel plane will have the same coefficients of x, y, z as the given plane. We notice those have a common factor of 2, so the equation can be reduced to ...
x +2y +4z = constant
This equation is satisfied for every point on the line, so we have ...
(3 +2t) +2(t) +4(6 -t) = constant . . . . . substituting for x, y, z
3 +2t +2t +24 -4t = constant
27 = constant
The equation of the desired plane is ...
x +2y +4z = 27
The normal to the given plane is (2, 4, 8), and the plane we want is parallel to this one so it has the same normal vector.
When t = 0, the given line, and thus the plane we want, passes through the point (3, 0, 6).
Then the equation of the plane is given by
(2, 4, 8) • (x - 3, y - 0, z - 6) = 0
2 (x - 3) + 4y + 8 (z - 6) = 0
2x + 4y + 8z = 54
or
x + 2y + 4z = 27
SOMEBODY PLZ HELP NO LINKS PLZ AN THANK YOU
The scatter plot shows the number of minutes people had to wait for service at a restaurant and the number of staff available at he time. A line that models the data is given by the equation y=-1.62x + 18 where y represents the wait time and x represents the number of staff available. Use the equation to make a conjecture about the wait if there are 10 staff members available
A the wait time will be about 18 minutes
B the wait time will be about 5 minutes
C the wait time will be about - 2 minutes
D the wait time will be about 2 minutes
Answer:
im not too sure but B
Step-by-step explanation:
I wish this was free ✋
Answer: It is tho ?
Step-by-step explanation:
What is the range of the following function, if the domain is {1,3,12}?
f(x) = x - 3
pls help me in this question
a . If 3x,2x and (x+12) are supplymentary angles find the sizes of unknown angles
Answer:
x=28°
Step-by-step explanation:
supplementary angles equal 180°
So:
3x+2x+x+12=180°
6x+12=180
6x=168
x=28°
Therefore:
3x:
3(28)=84°
2x:
2(28)=26°
x+12:
28+12=40°
Write the percent as fraction or mixed number in simplest form 34%
Answer: 34/100
Step-by-step explanation:
it is 34% out of 100, so it is 34/100. Reduced is 17/50
A rectangle that measures 10 inches by 7 inches.
Which expression will determine the perimeter, in inches, of the rectangle?
Answer:
( 2 x 10 ) + ( 2 x 7)
Step-by-step explanation:
Hope this helped!
Answer: 34 inches Perimeter = 2L + 2W
Step-by-step explanation:
A rectangle has two sets of equal side lengths. We'll assign 10 inches to the length, L, and 7 inches to the width, W.
The perimeter of a rectangle is 2L + 2W
Perimeter, P = 2(10) + 2*(7)
P = 20 + 14
P = 34 inches
Is (2,1) a solution to this system of equations??
8x+7y=11
x+y=3
a) Yes
b) No
Answer:
No
Step-by-step explanation:
In the ordered pair (2,1), 2 is the x-value and 1 is the y-value.
In the first equation, replace x with 2 and y with 1.
8x+7y
= 11
8(2)+7(1)
≟ 11
16+7
≟ 11
23
≟ 11
No, 23≠11.
Plugging (2,1) into the first equation did not result in a true statement. So, (2,1) is not a solution to the system of equations.
Help.............???!!!
Answer:
Its either A or C
Step-by-step explanation:
solve the log equation
Answer:
x = -5
Step-by-step explanation:
log5((5-3x)/((7+x)^2))=1
(5-3x)/(7+x)^2 = 5
5-3x = 5x^2+70x+245
5x^2+73x+240=0
x= -5, x= -48/5
-48/5 is extraneous
x = -5
LAST ATTEMPT MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)
Answers:
[tex]L(1,0) \to L \ ' \ (4.5,0)\\\\J(-1,-1) \to J \ ' \ (-4.5, 4.5)\\\\K(-1,1) \to K \ ' \ (-4.5,4.5)\\\\[/tex]
===================================
Explanation:
We multiply each coordinate of each point by the scale factor 4.5
For example, point L(1,0) moves to L ' (4.5, 0) since 4.5*1 = 4.5
This trick only works because the origin is the center of dilation. If the center is some other point, then you'd have to translate first, dilate, then translate back again.
128x^2-162
How do you factor this
If any doubt leave a comment
Convert the following fraction to a decimal.
Solve using substitution.
y = -9x - 8
y = -6x – 2
Please help
Answer:
y = 10; x = -2
Step-by-step explanation:
Because both are equal to y, you can set them equal to each other.
-9x - 8 = -6x - 2
- 6 = 3x
x = -2
y = -9(-2) - 8 = 10
a) x+(3x÷2y)
b) (b⁹)²×b⁵÷b¹¹=
c) (4²)⁶×4⁷÷4¹⁶=
Answer:
a) x+3x/2y or (3x+2xy)/2y
b) b^12
c) 4^3 or 64
Step-by-step explanation:
QUESTION 3. ANSWER CHOICE'S ARE THE SECOND PICTURE. PLEASE ANSWER ALL I WILL GIVE BRAINLEST
Answer:
1. The cost of the fencing material for each side of the playground.
2. The perimeter of the park
3. The labor fee
4. The cost of the fencing material for the whole park.
Step-by-step explanation:
Hope this helps! :)
Latex paint sells for $21 per gallon and will cost you $210 to paint your room. If each gallon will cover 300 square feet, how many square feet of wall space do you have in your room?
square feet
Answer: 3000 square feet
Step-by-step explanation: 21x10=210 . 300x10=3000
What’s the difference for this equation!!!
Answer:
2x^2 + 11x – 1
Step-by-step explanation:
If a polynomial has one root in the form a+√b , it has a second root in the form of a_√b
Answer:
Step-by-step explanation:
a+√b
a-√b
2/3x + 4 = 2 Solve the equation algebraically show work to support the answer
Answer:
x = -3
Step-by-step explanation:
2/3x + 4 = 2
2/3x = 2 - 4
2/3x = -2
2x = -2 * 3
2x = -6
x = -6/2
x = -3
PLS HELP!!!!!! (again! XP)
Express each of these numbers, as a product of two fractions 2/25
Ten minus three tenths of n
Answer:
[tex]10 - \frac{3}{10} n[/tex]
Step-by-step explanation:
hope that is right and hope it helps
Examine the figure. What is the measure of angle a?
A = 180-90-31
A = 59
Answer: 59
correct?````````````````````````````
What is mean number of strawberries collected each day Round to the nearest whole number if necessary 107,122,148,135,126,154
Answer:
132
Step-by-step explanation:
step one: add all the numbers in the data set.
107 + 122 + 148 + 135 + 126 + 154
= 792
step two: divide the sum by the how many numbers are in the data set
792/6 = 132
the mean number of strawberries collected each day is 132 strawberries.
hope this helps!<3
send help send help send help
Answer:
B answer answer
[tex]the \: answer \: is \: b[/tex]
find the angle of rotation that maps point D onto point A
Answer:
A - 144
Step-by-step explanation:
everything else would be too far
if x+1/x=7,find x^2+1/x^2
Answer:
x²+1/x² = 51
Explanation:
Given x - 1/x = 7 ---(1)
We know the algebraic identity:
a²+b²-2ab = (a-b)²
Or
a²+b² = (a-b)²+2ab
Now,
x²+1/x²
= (x-1/x)²+2*x*(1/x)
= (x-1/x)²+2
:7²+2 [ from (1)] =
= 49+2
= 51
Therefore,
x²+1/x² = 51
Suppose your family lives in Muntinlupa City (one of the West Valley Fault Line area) and decided to move in to the work place of your father in Teresa, Rizal which is approximately 50 km apart, if renting a van costs an initial amount of 4000php for maximum of 30km and an additional payment of 200php for every 5km, how much will your father pay in renting a van from Muntinlupa City to Teresa, Rizal? {attach only 1 picture of your table/answer}
Step-by-step explanation:
it is 50 km in total.
30 km are already covered by the initial rental amount (4000).
what is left is 50-30 = 20 km.
for these 20 km he has to pay 200 for every 5 km.
how many 5 km units are in 20 km ?
well, 20/5 = 4
so, he needs to pay additionally 200×4 = 800php.
therefore, the total cost will be
4000 + 800 = 4800php
Complete the table of ordered pairs for the linear equation
Answer:
Step-by-step explanation:
See attachment.