Answer:
-12.5 m/s²
Step-by-step explanation:
v (final velocity) = 0
u (intial velocity) = 150 m/s
t = 12s
a= v-u/t
a = 0 - 150 / 12
a = -12.5 m/s²
CRIS 100 A hostel had rations for 60 days for 500 students. After 12 days, 300 more students join the hostel mess How long will the remaining ration last?
Answer:
30
Step-by-step explanation:
[tex]500\times\left(60-12\right)\div\left(300+500\right)[/tex]
Calculate
[tex]\frac{500\times\left(60-12\right)}{300+500}[/tex]
Calculate the sum or difference
[tex]\frac{500\times48}{300+500}[/tex]
Calculate the sum or difference
[tex]\frac{500\times48}{800}[/tex]
Cross out the common factor
[tex]\frac{5\times48}{8}[/tex]
Cross out the common factor
[tex]5\times6[/tex]
Calculate the product or quotient
[tex]30[/tex]
The product of two consecutive positive even integers is 24. Find the integers.
Answer:
The two consecutive even integers
:
(
4
,
6
)
or
(
−
6
,
−
4
)Step-by-step explanation:
n
and
n
−
2
be the two consecutive even integers,where
n
∈
Z
Product of
n
and
n
−
2
is 24
i
.
e
.
n
(
n
−
2
)
=
24
⇒
n
2
−
2
n
−
24
=
0
Now,
[
(
−
6
)
+
4
=
−
2
and
(
−
6
)
×
4
=
−
24
]
∴
n
2
−
6
n
+
4
n
−
24
=
0
∴
n
(
n
−
6
)
+
4
(
n
−
6
)
=
0
∴
(
n
−
6
)
(
n
+
4
)
=
0
∴
n
−
6
=
0
or
n
+
4
=
0
...
→
[
n
∈
Z
]
⇒
n
=
6
or
n
=
−
4
(
i
)
n
=
6
⇒
n
−
2
=
6
−
2
=
4
So,the two consecutive even integers
:
(
4
,
6
)
(
i
i
)
)
n
=
−
4
⇒
n
−
2
=
−
4
−
2
=
−
6
So,the two consecutive even integers
:
(
−
6
,
−
4
)
what is 1+2+3+4+5+6+7+8+9..+100
Answer:
5050
Step-by-step explanation:
we can use the formula n(n+1)/2
Answer:
5050
Step-by-step explanation:
because n(n+1)/2 is compatible here, which is (100x101)/2, and that gives us 5050.
What is the inverse of the equation y = 3x + 2?
Answer: y = (x-2)/3
This is equivalent to y = (1/3)x - 2/3
=================================================
To get this answer, we need to swap x and y in the original equation. Then solve for y to get the inverse.
y = 3x+2
x = 3y + 2 ... x and y swapped
x-2 = 3y
3y = x-2
y = (x-2)/3
y = x/3 - 2/3
y = (1/3)x - 2/3
This final equation has slope 1/3 and y intercept -2/3
Pls help I will award brainiest
The ratio of the number of people who
threw tomatoes onto the stage to the
number of people who threw cabbage was
8 to 9. If 168 people threw tomatoes onto
the stage, how many threw cabbage?
Answer:
189
Step-by-step explanation:
ratio is 8:9
multiply ratio by 21 to get 168:189
The number of people who threw the cabbage should be considered as the 189 when the ratio is given.
Calculation of the number of people who threw the cabbage:Since
The ratio of the number of people who threw tomatoes onto the stage to the number of people who threw cabbage was 8 to 9.
And, 168 people threw tomatoes onto the stage
So
[tex]= 168 \times 9 \div 8[/tex]
= 189
hence, The number of people who threw the cabbage should be considered as the 189 when the ratio is given.
learn more about ratio here; https://brainly.com/question/4136664
Consider a post office with two clerks. Three people, A, B, and C, enter si- multaneously. A and B go directly to the clerks, and C waits until either A or B leaves before he begins service. What is the probability that A is still in the post office after the other two have left when
Answer:
0
Step-by-step explanation:
A machinery worth rupees 10,500 depreciated by 5% find its value after one year
Answer:
Step-by-step explanation:
10,500*5% =525
10,500-525
=9975
I need this done before tomorrow please help
Answer:
If im not mistaken angle B nad D should have the same meausurement which would be 128°
Can someone please help me? :(
Answer: 4 units, 3 units
Step-by-step explanation:
The side length of the square is measured to be 4 units on the graph
The height can be seen to be 3 units on the graph
4 units on each side
Height is 3 units
Step-by-step explanation:
Perpendicular height is 3 squares up, from the base of the square, to the top of the triangles.
The square measures 4 by 4 on each side.
Hope this helps!
What is the exponential regression equation to best fit the data where the y values were rounded to the nearest integer.
Question 9 options:
y=3(1. 05)^x
y=2. 1(2. 05)^x
y=2. 17(2. 96)^x
y=2(2. 95)^x
Answer: y=2.17(2.96)
Step-by-step explanation: i took the test
PLZ HELP!!
Choose the best answer.
Solve the equation.
e – 8 = 22
Question 1 options:
e = 14
e = 30
e = -8
e = 22
Question 2 (1 point)
Choose the best answer.
Solve the equation.
n + 11 = –29
Question 2 options:
n = 18
n = 40
n = –17
n = –40
Question 3 (1 point)
Choose the best answer.
Solve the equation.
e – 14.4 = –20.8
Question 3 options:
e = –35.2
e = 6.4
e = –6.4
e = 35.2
Question 4 (1 point)
Choose the best answer.
Solve the equation.
t – (–16) = –13
Question 4 options:
t = –3
t = 29
t = –29
t = 3
Question 5 (1 point)
Choose the best answer.
On Wednesday, William wrote a check in the amount of $45.60. This brought his balance down to –$15.75. Suppose n represents William's balance before he wrote the check.
Which equation can be used to represent this situation?
Question 5 options:
n + 45.60 = –15.75
n – 45.60 = –15.75
n – 15.75 = –45.60
n – 15.75 = 45.60
Question 6 (1 point)
Choose the best answer.
Solve the word problem.
Luke mowed a lawn today to earn some extra money. He spent $2.10 on fuel and $4.45 on lunch. He charged $13.50 to mow the lawn.
What was his profit for mowing the lawn?
Question 6 options:
$20.05
$11.15
$15.85
$6.95
Question 7 (1 point)
What is the LCD of 12 and 35
?
Question 7 options:
2
7
10
20
Question 8 (1 point)
Choose the best answer.
Which statement correctly compares512 and 716
?
Question 8 options:
512>716
512=716
512<716
Question 9 (1 point)
Add.
23+58
Question 9 options:
724
711
3124
78
Question 10 (1 point)
Add.
−23+14
Question 10 options:
14
−512
17
37
Answer:
[tex]e = 30 \\ n = –40 \\ e = –6.4 \\ t = –29 \\ n – 45.60 = –15.75 \\ 6.95 \\ the \: LCD \: of \: 12 \: and \: 35 \: is \: 2 \\{ 512 < 716} \\ 81(not \: in \: the \: option) \\ - 9(not \: in \: the \: option)[/tex]
A boat is trying to determine its speed, in feet per second. The boat spots a 245 foot tall lighthouse at point A at an angle of elevation of 12°. Five minutes later it arrives at point B after traveling in a straight line towards the light house. The angle of elevation is now 28°. What is the boat’s speed to the nearest foot per minute.
Using the slope concept, it is found that the boat traveled at a speed of 138 feet per minute.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
At point A, we have that the vertical change is of 245 ft with an angle of 12º, hence the position in feet is given by:
[tex]\tan{12^\circ} = \frac{245}{x_A}[/tex]
[tex]x_A = \frac{245}{\tan{12^\circ}}[/tex]
[tex]x_A = 1152.6[/tex]
At point B, we have an angle of 28º, hence:
[tex]\tan{28^\circ} = \frac{245}{x_B}[/tex]
[tex]x_B = \frac{245}{\tan{28^\circ}}[/tex]
[tex]x_B = 460.7[/tex]
The distance in feet the boat traveled in 5 minutes was of:
[tex]d = x_A - x_B = 1152.6 - 460.8 = 691.8[/tex]
Velocity is distance divided by time, hence:
v = 691.8/5 = 138.
The boat traveled at a speed of 138 feet per minute.
More can be learned about the slope concept at https://brainly.com/question/18090623
You want to test the effects of water aerobics on resting heart rate. You decide to test two different levels of exercise (water aerobics for 30 minutes twice a week and water aerobics for 60 minutes once per week.) You randomly find a group of 60 subjects (30 men and 30 women) for this study. What is an appropriate design for this study? A). Randomized block design B). Completely randomized design C). Matched pairs design
Answer:
The correct option is;
A). Randomized block design
Step-by-step explanation:
In a randomized block design the experimental units or subjects of the experiment are separated into subgroups known as blocks with the property that the the variability (difference) of the parameters within the blocks are lesser than the variability between block, such that the treatment of the research or experiment are assigned differently to each block
The groups can therefore comprise of the following;
Group 1
15 men and 15 women to perform water aerobics for 30 minutes twice a week
Group 2
15 men and 15 women to perform water aerobics for 60 minutes once a week
Therefore, the effect of the experiment will be much less attributed to gender than to the durations of the water aerobic exercise.
The measures of the angles of a triangle are shown in the figure below . Solve for x
Evaluate.
781
1.8
2.10
3.11
4.9
Answer:
9 is the answer u are looking for square root
which is never visible on the graph of a sequence?
a. x-intercept
b. the first term
c. common difference
d. y-intercept
please help me :,(
The temperature in the morning was - 24
degrees. By the afternoon, the
temperature was 0.2 degrees. What was
the change in temperature?
Answer:
ΔT = -23.8°
Step-by-step explanation:
Given :-
T (initial) = 24°T (final) = 0.2°To Find :-
ΔTSolving :-
ΔT = T (final) - T (initial)ΔT = 0.2 - 24ΔT = -23.8°Linda pays $24.84 for 7.2 gallons of gas.
Find the unit price in dollars per gallon.
If necessary, round your answer to the nearest cent.
Answer:
3.45
Step-by-step explanation:
24.84/7.2 = 3.45
The unit rate is $3.45 per gallon
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: Linda pays $24.84 for 7.2 gallons of gas.
Thus unit rate ( dollars per gallon) = $24.84/7.2
=$3.45 per gallon
Hence, The unit rate is $3.45 per gallon
Learn more about the unitary method here:
https://brainly.com/question/22056199
#SPJ2
Write the midpoint of the segment as an ordered pair (-3,2),(4,-5)
Answer:
[tex] \huge{ \bold{ \boxed{ \tt{( \frac{1}{2} \: ,\: \: \frac{ - 3}{2} )}}}}[/tex]
Step-by-step explanation:
[tex] \text{Let \: the \: points \: be \: A \: and \: B}[/tex]
[tex] \text{A( - 3 \: 2) } \longrightarrow \text{(x1 \: , y1)}[/tex]
[tex] \text{B(4 \: - 5)} \longrightarrow \text{(x2 \:, y2)}[/tex]
[tex] \underline{ \text{Finding \: the \: midpoint}} : [/tex]
[tex] \boxed{ \sf{Midpoint = ( \frac{x1 + x2}{2} \:, \frac{y1 + y2}{2} )}}[/tex]
[tex] \sf{Midpoint = ( \frac{ - 3 + 4}{2} \: , \frac{2 + ( - 5)}{2} })[/tex]
[tex] \underline{ \text{Remember}} : [/tex]
[tex] \text{( + ) * ( - ) = ( - )}[/tex]
[tex] \text{( + ) \: * \: ( + ) = ( + )}[/tex]
[tex] \text{( - ) \: * \: ( + ) = ( - )}[/tex]
[tex] \text{( - ) \: * \: ( - ) = ( + )}[/tex]
[tex] \sf{Midpoint = ( \frac{ - 3 + 4}{2} \:, \frac{2 - 5}{2}) }[/tex]
[tex] \underline{ \text{Remember}}: [/tex]
The positive integers are always added but posses the positive ( + ) sign.The negative integers are always added but posses the negative ( - ) sign.The negative and positive integers are always subtracted but posses the sign of the bigger integer[tex] \sf{Midpoint = ( \frac{1}{2} \: , \frac{ - 3}{2} )}[/tex]
[tex] \text{Hope \: I \: helped}[/tex]!
[tex] \text{Best \: regards}[/tex]!
~[tex] \text{TheAnimeGirl}[/tex]
For the linear relation y= 2x + 5, the x-intercept is -2/5
True
False
Answer:
False
Step-by-step explanation:
Every linear equation in two variables can be written as y=mx+c.
Here, for each value of x there is a unique value of y.
Also, x & y are in direct variation.
Hence, xy will always remain constant.
Consequently, the graph will maintain a definite slope making it a straight line.
∴ The given statement is false.
Answer:
False
Step-by-step explanation:
=> y = 2x + 5
=> y - 2x = 5
=> - 2x + y = 5
=> (-2x + y) = 5
=> (-2/5)x + y/5 = 1
=> x/(-5/2) + y/5 = 1, it is in form of x/a + y/b = 1, a is intercept of x.
So, here, x intercept is -5/2.
Method 2;
=> y = 2x + 5
=> y = 2(x + 5/2)
=> y = 2{x - (-5/2)}, says, x intercept is - 5/2 & not - 2/5
Could I get some help, please?
Answer: 110 degrees
Step-by-step explanation:
The first few steps in solving the quadratic equation 8x2 80x = −5 by completing the square are shown. 8x2 80x = −5 8(x2 10x) = −5 8(x2 10x 25) = −5 ______ which number is missing in the last step? −200 −25 25 200
The number is missing in the last step in the quadratic equation is 200. Then the correct option is D.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The quadratic equation is 8x² + 80x = −5
On adding and subtracting 200 on both sides, we have
8x² + 80x + 200 = −5 + 200
8 (x² + 10x + 25) = −5 + 200
Thus, the number is missing in the last step in the quadratic equation is 200. Then the correct option is D.
More about the factorization link is given below.
https://brainly.com/question/6810544
What is the square root of -1?
Answer:
i
Step-by-step explanation:
Zero has one square root which is 0. Negative numbers don't have real square roots since a square is either positive or 0. The square roots of numbers that are not a perfect square are members of the irrational numbers. This means that they can't be written as the quotient of two integers.
the answer is i
Step-by-step explanation:
for real this is true
Which lunch box holds more? HELP image included
Answer:
lunch box a
Step-by-step explanation:
brainliest pls :3
Identify the cluster in the data
The one that has the most circles in a group :D
To hire a tutor, Abelia will pay $35 per hour plus a materials fee of $10. She will only pay the materials fee one time. The equation c = 10 + 35h can be used to represent this situation where c is the total cost and h is the number of hours Abelia hires the tutor.
Answer:
Yes! C=10+35h is correct!
Step-by-step explanation:
Yes, equation is correct!
$10 is fixed one time fee.$35 is hourly pay.
So, if she needs tutor for 'h' hours, the variable cost is $35h
So, total cost C =10+35h
PLEASE HELP!!
(x+3)(x−2)/(x+7)² ≥0
Answer:
Step-by-step explanation:
For each diagram below, write and solve an equation.
Answer:
A.x=3 C. n=10
Step-by-step explanation:
A.13-7=6
6/2=3
C.6x4=24
44-24=20
20/2=10
Use a calculator to solve the following equation for θ on the interval [−90∘,90∘]. Sin(θ)=34
The value of θ from the given equation is 48.59degrees
Trigonometry identityGiven the trigonometry function
Sin(θ)=3/4
We are to find the value of theta that will make the expression true
Take the arcsin of both sides
arcsin Sin(θ)= arcsin(3/4)
θ = arcsin(3/4)
θ = 48.59
Hence the value of θ from the given equation is θ = 48.59 defense
Learn more on trig identity here:https://brainly.com/question/7331447
Rewrite the following polynomial in standard form.
-2+1/3x^2-x