Answer:
First, find the time when Jackie and her friend meet.
Using:
[tex]\sf s=ut+\dfrac12at^2[/tex]
where:
s = displacementu = initial velocitya = accelerationt = time (in hours)Jackie and her friend are not accelerating, so a = 0, which means the formula can be reduced to:
[tex]\sf s=ut[/tex]
Create equations
Jackie: [tex]\sf s_1= 3t[/tex]
Friend: [tex]\sf s_2 = 12t[/tex]
As the distance covered by Jackie and her friend at the time they meet equals 3 miles:
[tex]\sf s_1+s_2=3 \ miles[/tex]
[tex]\sf \implies 3t + 12t = 3[/tex]
[tex]\sf \implies 15t = 3[/tex]
[tex]\sf \implies t = 0.2 \ hr[/tex]
[tex]\sf \implies t=0.2 \times 60=12 \ mins[/tex]
Therefore, they meet 12 mins after they both start moving.
3 mph = 3 ÷ 60 = 0.05 miles per min
12 mph = 12 ÷ 60 = 0.2 miles per min
Therefore,
Jackie traveled: 0.05 x 12 = 0.6 miles
Her friend traveled: 0.2 x 12 = 2.4 miles
when they meet.
To find the speed Jackie's brother must walk to catch up with her at the same time she meets her friend, use s = 0.6 miles (as this is the distance Jackie walked) and t = 12 - 4 = 8 mins (since he left 4 mins after Jackie left):
[tex]\sf s=ut[/tex]
[tex]\sf \implies u = \dfrac{s}{t}[/tex]
[tex]\implies \sf u = \dfrac{0.6}{8}[/tex]
[tex]\implies \sf u = 0.075 \ miles \ per \ min[/tex]
[tex]\sf \implies u = 0.075 \times 60 = 4.5 \ mph[/tex]
So Jackie's brother needs to walk faster than 4.5 mph to catch up with Jackie before she meets her friend.
(If he walks at 4.5 mph, he will catch up to Jackie at the instant she meets her friend. If he walks slower than 4.5 mph, he will not catch up with Jackie before she meets her friend).
please help meeeeeeeee worth a bunch of points
Answer:
220
Step-by-step explanation:
first u gotta bla bla bla
Answer:
137°
Step-by-step explanation:
a straight line is 180°
x = 180 - (22 + 21)
x = 180 - 43
x = 137
i will give you both my kidneys for this answer!!!! Select the correct answer.
Consider functions fand g.
f(x) = 3x+1.what is the value of (f(g(1))
Answer:
1
Step-by-step explanation:
when x is 1 g(1) is 0
so
(f(g(1)) is f(0)
f(0) is 3√0 + 1 which is
1
sorry it looks like its not one of the answer choices
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The composition of functions f ( g ( 1 ) ) = 1
What is Composition of functions?Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.
Given data ,
Let the first function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 3√x + 1
Let the second function be represented as g ( x )
Now , the value of g ( x ) is
g ( 1 ) = 0
g ( 2 ) = 1
g ( 3 ) = 4
g ( 4 ) = 9
Now , the composition of function is given by f ( g ( 1 )
The value of g ( 1 ) = 0
And , f ( x ) = 3√x + 1
when x = 0
So , the value of f ( 0 ) = 3√0 + 1
The function is f ( 0 ) = 1
Hence , the value of the function f ( g ( 1 ) = 1
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50 Points! A section of wall for a mural is shaped like a parallelogram with a base length of 7 feet and a height of 11 feet. A can of paint will cover 20 square feet.
nvm it was 4
Area = length x height:
Area = 7 x 11 = 77 square feet.
divide area of wall by area per can:
77/20 = 3.85 cans
they will need to buy 4 cans
Find the area of the figure
Answer:
100 mm
Step-by-step explanation:
this right awnser
Answer:
Formula for area of circle (since two semi circles form a full circle);
a = π[tex]r^{2}[/tex]
First, figure out our radius,
D/2 = Radius
10/2 = 5 is our radius.
Plug in your values:
a = π[tex]r^{2}[/tex]
a = 3.14(5^5)
a = 3.14(25)
a = 78.5 is the area of the two semi circles.
Now the square;
A = L x W
A = 10(10)
A = 100.
Add your areas;
78.5 + 100
= 178.5 mm2
Please help! It's very confusing to me
Answer:
b. is the equation and 18 is the answer.
Step-by-step explanation:
the 9 plus b has to equal the 27
18 is the value of b.
A triangle has one side that is 6 units long and another side that is 3 units long.
Which of the following could be the length of the third side?
2 units
3 units
4 units
6 units
8 units
10 units
The possible value of the third length is an illustration of Triangle inequality theorem
The possible third lengths are 4 units and 6 units
How to determine the possible length of the third side?To determine the third length, we make use of the following Triangle inequality theorem.
a + b > c
Let the third side be x.
So, we have:
x + 6 > 3
x + 3 > 6
3 + 6 > x
Solve the inequalities
x > -3
x > 3
x < 9
Remove the negative inequality value.
So, we have:
x > 3 or x < 9
Rewrite as:
3 < x or x < 9
Combine the inequality
3 < x < 9
This means that the possible value of the third length is between 3 and 9 (exclusive)
Hence, the possible third lengths are 4 units and 6 units
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An airplane flying with the wind takes 5 hours to travel a distance of 960 miles. The return trip takes 6 hours flying against the wind. What is the speed of the airplane in still air and how fast is the wind blowing?
let's recall that d = rt, distance = rate * time.
a = speed of the airplane in still air.
w = speed of the wind
the distance travelled with the wind is 960 miles, so the return trip is pretty much just that, 960 miles.
when the airplane is going with with wind, the airplane is really not going as fast as "a" mph, is really going faster due to the wind, so the speed of the plane is "a + w", because the wind is adding its speed to it.
when the airplane is going against the wind is not really going "a" mph fast either, is really going slower at "a - w" mph, because the wind is subtracting speed from it, so
[tex]\begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \textit{with the wind}&960&a+w&5\\ \textit{against the wind}&960&a-w&6 \end{array}~\hfill \begin{cases} 960=(a+w)(5)\\\\ 960=(a-w)(6) \end{cases} \\\\\\ \stackrel{\textit{using the 1st equation}}{960=(a+w)(5)}\implies \cfrac{960}{5}= a + w\implies 192=a+w\implies \boxed{192-w=a}[/tex]
[tex]\stackrel{\textit{substituting on the 2nd equation}}{960=(\underline{192-w}~~ - ~~w)(6)}\implies \cfrac{960}{6}=192-w-w\implies 160=192-2w \\\\\\ 2w+160=192\implies 2w=32\implies w=\cfrac{32}{2}\implies \blacktriangleright w=16 \blacktriangleleft ~\hfill \blacktriangleright \stackrel{192 - 16}{176=a} \blacktriangleleft[/tex]
Look at the equation below. Identify which equation has no solution
Answer:
C
Step-by-step explanation:
[tex]24a-22 = -4(1-6a)\\\\\implies 24a-22 = -4+24a\\\\\implies -22 = -4\\\\\text{Which is not true, so no solutions exist.}[/tex]
Event A has a 90% chance of occurring. Event B has a 20% chance of occurring. The correlation (i.e. whether they tend to occur together, or separately, or are unrelated) between the events is unknown.
What is the maximum probability that both event A and event B will occur?
What is the minimum probability that both event A and event B will occur?
The maximum probability that both event A and event B will occur is 18%.
How to compute the probability?From the information, Event A has a 90% chance of occurring. Event B has a 20% chance of occurring. Therefore, the maximum probability will be:
= 90% × 20%
= 18%
The minimum probability that both event A and event B will occur will be:
= (90% + 20%) - 1
= 1.10 - 1
= 10%
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WILL GIVE EXTRA POINTS FOR ANSWER ⭐️⭐️!! PLEASE EXPLAIN IF POSSIBLE
Answer:
B. (-3, 10)
Step-by-step explanation:
I am going to graph the given equation. I then will see which of the points given are within the required area.
-> See attached.
-> I have explained in the image more in-depth as well.
Kerry cut an 8 foot long board in 3 pieces that are equal in length. How long was each board?
Answer:
2 2/3 foot
Step-by-step explanation:
3x=8
x=8÷3
=2 2/3 foot
Solve: |x+2|=3
Can someone explain how to do this
Hey there!
ORIGINAL EQUATION:
|x + 2| = 3
TRANSLATE:
x + 2 = 3 or x + 2 = -3
SOLVING for: x + 2 = 3
SUBTRACT 2 to BOTH SIDES
x + 2 - 2 = 3 - 2
CANCEL out: 2 - 2 because it give you 1
KEEP: 3 - 2 because help solve for the current x-value
NEW EQUATION: x = 3 - 2
SIMPLIFY IT!
x = 1
Thus, your answer is: x = 2
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
SOLVING for: x + 2 = -3
SUBTRACT 2 to BOTH SIDES
x + 2 - 2 = -3 - 2
CANCEL out: 2 - 2 because it give you 0
KEEP: -3 - 2 because it help solve for the current x-value
NEW EQUATION: x = -3 - 2
SIMPLIFY IT!
x = -5
Thus, your answer is: x = -5
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
Therefore, your answer is: x = 1 or x = -5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
wait hihfedhsdkfsffsdf
I = PRT
C = 2r A = r2
Answer: Calculate Total Amount Accrued (Principal + Interest), solve for A. A = P(1 + rt)
Calculate Principal Amount, solve for P. P = A / (1 + rt)
Calculate rate of interest in decimal, solve for r. r = (1/t)(A/P - 1)
Calculate rate of interest in percent. ...
Calculate time, solve for t
Step-by-step explanation:
-
Angle A and B are vertical angles. If Angle A = (5x – 3)° and Angle B = (4x + 21)°,
then find the measure of Angle A.
Answer:
Angle A=87°
Step-by-step explanation:
(5x-3)°+(4x+21)°=180°
9x°+18°=180°
9x°+18°-18°=180°-18°
9x°=162°
9x°/9°=162°/9°
x=18°
Angle A=(5x18-3)°
(90-3)°
Angle A=87°
Which of the following is true of the numbers 4 and 10?
A. The greatest common factor is
B. The least common multiple is
C. The greatest common factor is 20.
D. The least common multiple is 40.
Answer:
None
Step-by-step explanation:
Answer is isn't there
the gcf = 2
the LCM = 20
solve. solve this question if you are intelligent
Answer:
(a) 0 (b) 1^2
Step-by-step explanation:
photo number 1 is answer for question 2(a)
photo number 2 is answer for question 2(b)
Find the equation that passes through the points (8,10) and (4,5). Give your results using function notation
Answer:
f(x) = 5/4x
Step-by-step explanation:
The equation of the line can be found using the 2-point form of the equation of a line:
y -y1 = (y2 -y1)/(x2 -x1)(x -x1)
This can be rearranged to the desired funtional form.
__
Using the given points (x1, y1) = (8, 10) and (x2, y2) = (4, 5), we have ...
y -10 = (5 -10)/(4 -8)(x -8)
y = (-5/-4)(x -8) +10 = (5/4)x . . . . . add 10 and simplify
The equation can be written ...
f(x) = 5/4x
PLSS ANSWER
Round each fraction to help you estimate the solution for the equation.
three sixths plus three sixths
A. 0
B. one half
C. 1
D. one and one half
[tex] \frac{3}{6} = three \: sixths[/tex]
[tex] \frac{3}{6} + \frac{3}{6} = \frac{3 + 3}{6} = \frac{6}{6} = 1[/tex]
Letter C-7/3y-2/9=1/3 solve for y
Answer:
y = -12
Step-by-step explanation:
-7/3y - 2/9 = 1/3
cross multiple for 1/3:
-21/3y - 6/9 = 1
cross multiply for 3y and 9:
-21 - 6 = 3y + 9
3y + 9 = -27
3y = -36
y = -12
The cone shaped roof has the height of 30ft and the radius of 15ft find it's lateral area and the surface area
Answer:
Lateral surface area of cone is 1580 feet²Surface area of cone is 2287 feet²[tex]\\[/tex]
Step-by-step explanation:
Given that Height of cone shaped roof is 30 ft and radius is 15 ft.
To calculate the lateral surface area and Surface area of the cone we will use the formula given below:
[tex]\\[/tex]
[tex]\star \: { \underline { \boxed { \purple{ \pmb { \sf{Lateral \: surface \: Area _{(cone)} = \pi rl}}}}}}[/tex]
[tex]\\[/tex]
[tex]\star{\underline{ \boxed{ \purple{ \pmb { \sf{Surface \: area _{(cone)} = \pi rl + \pi {r}^{2} }}}}}}[/tex]
[tex]\\[/tex]
Finding the Slant height of the cone:
[tex]\dashrightarrow \: \:L = \sqrt{ {(r)}^{2} + {(h)}^{2} } \\ [/tex]
[tex] \dashrightarrow \: \: L = \sqrt{225 +900 } \\ [/tex]
[tex] \dashrightarrow \: \: L = \sqrt{1125 } \\ [/tex]
[tex]{ \dashrightarrow \: \: { \pink{ \boxed { \: L = 33.541 }}}}\\ [/tex]
Hence, Slant height of cone is 33.54 feet.Substituting values in above formula:
[tex]\dashrightarrow \: \: LSA = \pi rl \\ [/tex]
[tex]\dashrightarrow \: \: LSA = \dfrac{22}{7} \times 15 \times 33.54 \\ [/tex]
[tex]\dashrightarrow \: \: LSA = \dfrac{22 \times 15 \times 33054}{7} \\ [/tex]
[tex]\dashrightarrow \: \: LSA = \dfrac{11068.2}{7} \\ [/tex]
[tex]\dashrightarrow \: \:{ \boxed { \pmb{ \sf {\pink{ LSA \: \approx1580 \: {ft}^{2}}}} }} \\ [/tex]
[tex]\\[/tex]
Hence, Lateral surface area of cone is 1580 feet²
Now, Calculating surface area:
[tex]\dashrightarrow \: \:SA = \pi rl + \pi {r}^{2} \\ [/tex]
[tex]\dashrightarrow \: \:SA = \pi (15)(33.54) + \pi {(15)}^{2} \\ [/tex]
[tex]\dashrightarrow \: \:SA = \pi(503.1) + 22 5 \pi \\ [/tex]
[tex]\dashrightarrow \: \: SA = 728.1 \pi \\ [/tex]
[tex]\dashrightarrow \: \:SA = 728.1 \times 3.14 \\ [/tex]
[tex]\dashrightarrow \: \:{ \boxed{ \pmb{ \pink{ \sf{SA \approx2287 \: {ft}^{2} }}}}} [/tex]
[tex]\\[/tex]
Hence, surface area of cone is 2287 feet²!!20 POINTS!!
Find the value of X. Round to the nearest tenth
The zoo has 14 penguins. There are 6 more penguins than lions. How many lions are at the zoo?
Answer:
8 lions
Step-by-step explanation:
We need to subtract!!
14 - 6 = 8
Have an amazing day!!
Please rate and mark brainliest!!
Step-by-step explanation:
let the number of penguins be X and the number of lions be Y. then X=14 and since there are more penguins than lions the equation will be X=Y+6
Substitute 14 instead of X. 14=Y+6
and now shift 6 to the left 14-6=Y
then the answer should be 8lions
HELP!!
what is 23x+(4-5b)
Answer:
just remove the bracket and write normally so it's 23x+4-5b
Step-by-step explanation:
if you meant something else then let me know
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
Volume
Step-by-step explanation:
Length times width times height, is volume and the formula of finding what is inside something.
Volume :- it's the amount of the mass a body can hold
Write a qbasic progrsm to check pass or fail
Step-by-step explanation:
CLS
INPUT " Enter total marks "; M
IF M > 40 THEN
PRINT "You are passed "
ELSE
PRINT " You are failed "
END IF
END..
giving brainliest+50 points!!
What is the five-number summary of this data set?
{852, 687, 515, 986, 907, 784, 967, 685, 965}
Drag the numbers into the boxes to correctly complete the five-number summary.
Minimum
Q1
Q2
Q3
Maximum
Answer:
the 852 is the perfect fit q3
Step-by-step explanation:
The five-number summary of this data set are minimum is 515, maximum value is 986, Q₁ is 686, Q₂ is 852 and Q₃ is 966.
What is Median?Median of a data set is the element in the middle if the data are arranged in increasing or decreasing order. It is also called second quartile.
Given data set is,
{852, 687, 515, 986, 907, 784, 967, 685, 965}
Arrange this in ascending order first.
{515, 685, 687, 784, 852, 907, 965, 967, 986}
Minimum value = 515
Maximum value = 986
First we have to find the median or the second quartile.
Second quartile, Q₂ = Middle element of the set
Q₂ = 5th element = 852
First quartile = 1/4 (n + 1)th element = 1/4 (9 + 1) = 2.5 th element
Q₁ = (685 + 687) / 2 = 686
Third quartile = 3/4(n + 1)th element = 3/4 (9 + 1) = 7.5th element
Q₃ = (965 + 967) / 2 = 966
Hence the five-number summary of this data set are found.
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How do I do this this folks?
for the answer most likey it would be from the range of 88 to 66 that would make a little sence corecct me if im wrong
Step-by-step explanation:
Complete the inequality.
(-9/8)/(-2 3/4) ? 3/22
>
<
=
Answer:
(-3/8)/(-2 3/4) = 3/22
Step-by-step explanation:
Solve the following;
[tex]\frac{\left(-\frac{3}{8}\right)}{\left(-2\frac{3}{4}\right)}[/tex]
[tex]=\frac{\left(-\frac{3}{8}\right)}{\left(-\frac{11}{4}\right)}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}[/tex]
[tex]=\frac{\frac{3}{8}}{\frac{11}{4}}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex]
[tex]=\frac{3\cdot \:4}{8\cdot \:11}[/tex]
[tex]\frac{3}{22}[/tex]
Thus, [tex]\frac{\left(-\frac{3}{8}\right)}{\left(-2\frac{3}{4}\right)}[/tex] = [tex]\frac{3}{22}[/tex]
~Learn with lenvy~
A coin is flipped 8 times. Find the probability of the event:
exactly 6 heads
A.0.4375
B.0.75
C.0.0039
D.0.109
b. 0.75 because if you flip it 8 times and get heads 6 times, the probability would be 6/8 and that would simplify to 3/4 (0.75).
Answer:
D. 0.109
Step-by-step explanation:
Just did the test, its not B