If Laurens SUV was detected exceeding the posted speed limit of 60 km per hour, then she exceeds the speed limit by 60 km per hour
She had covered a distance of 10 kilometers in 5 minutes
We know
One hour = 60 minutes
Then 1 minutes = 1/60 hour
5 minutes = 5/60 hour
The speed = Distance / Time
Substitute the values in the equation
The speed = 10 / (5/60)
= 10 × (60/5)
= 10 × 12
= 120 kilometer per hours
The speed limit = 60 kilometer per hour
The difference = 120 - 60
= 60 kilometer per hour
Therefore, she exceeds the speed limit by 60 kilometer per hour
The complete question is:
Lauren's SUV was detected exceeding the posted speed limit of 60 kilometers per hour, how many kilometers per hour would she have been traveling over the limit if she had covered a distance of 10 kilometers in 5 minutes?
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How many solutions are there to the equation below?
145 = 10x - 8x
O A. infinitely many
O B. 2
O c. 1
Answer:
c. one solution
Step-by-step explanation:
\(145 = 10x - 8x \\ 2x = 145 \\ x = 72.5\)
Answer:
C
Step-by-step explanation:
yes
this is the answer for sure
Please show workings.
To start a transport company, a business man needs at least 5 buses and 10 minibuses .
He is not able to run more than 30 vehicles all together.
A bus takes up 3 units of parking space, a minibus takes up 1 uni of parking space and there are only 54 units available.
If x and y are the number of buses and minibuses respectively.
a. Write down for inequalities which represents the restrictions of the businessman.
b. Draw a gaph that shows a region representing possible values of x and y.
c. Find the greatest number of:
i. buses
ii. minibuses that the business can run
9514 1404 393
Answer:
a) x≥5; y≥10; x+y≤30; 3x+y≤54
b) see attached
c) i. 14 buses; ii. 25 minibuses
Step-by-step explanation:
a. The given restrictions are ...
x ≥ 5 . . . . . . . . . minimum number of buses
y ≥ 10 . . . . . . . . minimum number of minibuses
x + y ≤ 30 . . . . .maximum number of vehicles
3x +y ≤ 54 . . . . maximum number of parking units
__
b. In the attached, we have chosen to make the solution space white. The boundaries are dashed where they are included in the solution space. The vertices of the solution space are marked on the graph.
__
c. The second attachment shows the maximum numbers of each.
i. maximum buses: 14 (and 12 minibuses)
ii. maximum minibuses: 25 (and 5 buses)
4) What is the sum of the exterior angles of a 32-sided polygon?
Answer:
360°
Step-by-step explanation:
The sum of the exterior angles for all polygons is 360°
What’s the solution for x-0= 0
Alex's wardrobe is 2 yards tall. How tall is the wardrobe in feet?
feet
What is the best approximation of the solution to the
system to the nearest integer values?
O (-6, 1)
0 (0,-7)
0 (1,-6)
O (2,7)
Answer: Choice C. (1, -6)
Explanation: The two lines cross at around this location. The solution point is on both lines at the same time.
anybody help me
explain how to do it if ya can
Answer:
If the left side of the big rectangle is 2m then the right side should be the same. We have 4m
If the bottom of the big rectangle is 9 then the top should also be 9. We now have 22m.
-----------------------------------------------------------------------------------------------------------
SMALL RECTANGLEThe left side of the small rectangle is 2m then so should the right be also 2m. We have 4m.
The top is 3m so the bottom should also be 3m we now have 10m
----------------------------------------------------------------------------------------------------------
ANSWERIf you add 10 + 22 you get 32. 32 is your answer :)
Step-by-step explanation:
Find the population variance and standard deviation. 8, 11, 15, 17, 19 Choose the correct answer below. Fill in the answer box to complete your choice (Type an integer or a decimal. Do not round.) A. 02 = 16 ○ B. s2- Choose the correct answer below. Fill in the answer box to complete your choice Type an integer or a decimal. Do not round.)
The population variance for the given data is 16 and the population standard deviation is 4. These values indicate the spread or dispersion of the data around the mean. The correct answer is A and B.
To find the population variance and standard deviation, we can use the following formulas
Population Variance (σ²) = Σ(x - μ)² / N
Population Standard Deviation (σ) = √(Σ(x - μ)² / N)
Given the data: 8, 11, 15, 17, 19
First, we calculate the mean (μ):
μ = (8 + 11 + 15 + 17 + 19) / 5 = 14
Next, we calculate the squared differences from the mean for each data point:
(8 - 14)², (11 - 14)², (15 - 14)², (17 - 14)², (19 - 14)²
Simplifying, we get:
36, 9, 1, 9, 25
Now, we calculate the sum of the squared differences:
Σ(x - μ)² = 36 + 9 + 1 + 9 + 25 = 80
Finally, we can calculate the population variance and standard deviation:
Population Variance (σ²) = Σ(x - μ)² / N = 80 / 5 = 16
Population Standard Deviation (σ) = √(Σ(x - μ)² / N) = √(80 / 5) = √16 = 4
So, the population variance is 16 (option A) and the population standard deviation is 4 (option B).
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Help me solve this problem for a hug
Answer:
4
4in
Step-by-step explanation:
what grade lvl is this???
Have a nice day! :-)
Find the slope between the points
below. Simplify your answer.
(-10, 5) and (14,-3)
Slope between the points (-10, 5) and (14,-3) is -1/3.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We need to find slope between points (-10, 5) and (14,-3)
m=-3-5/14+10
m=-8/24
m=-1/3
Hence, slope between the points (-10, 5) and (14,-3) is -1/3.
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I need help please. I’m really desperate……….
Answer:
X=8
Step-by-step explanation:
Given that the Area is 36ft^2, and the formula for calculating the area of a triange is:
\(a_{t} =h_{b}b/2\)
we have:
\(36 = \frac{(x+1)*x}{2}\)
we can start solving for x through the quadratic formula, but that will take long.
Instead, we can try replacing x by some numbers.
\(36*2=(x+1)*x\)
\(72=(x+1)*x\)
After a while,
\(72=(8+1)8\\\\72=9*8\\\\72=72.\)
We find that x=8.
IMPORTANT: X can also be -9 in this case. But a negative measurement doesn't make sense in this context, I would say that x=8 in this problem.
Find the surface area of the solid.
17 yd
24 yd
When a researcher needs to estimate the likelihood of a certain outcome, the method typically employed is
A)Time series design
B)Predictive design
C)Experimental design
D)Qualitative design
The required method typically employed is C) Experimental design.
What is Likelihood?The probability value is utilized as a measure of the merit of the parameter selection, and the parameter set with the highest likelihood is the best option given the available data.
According to question:Experimental design is typically employed when a researcher needs to estimate the likelihood of a certain outcome.
In an experimental design, the researcher manipulates one or more independent variables to determine the effect on a dependent variable, which is the outcome being studied.
The researcher can then use this information to make an estimate of the likelihood of the outcome under different conditions. This is the most commonly used method in the natural and social sciences to determine cause-and-effect relationships and make predictions about future outcomes.
Thus, Suitable option is C)Experimental design.
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help please fast i beg
Answer:
2,3
Step-by-step explanation:
X=2
Y=3
Fiona earns 85 cents for each toy she
a- How much does she earn for assembling:
i) 146 toys? ii) 203 toys?
b- Last week Fiona earned $459
How many tovs did she assemble?
c- Find the number of toys Fiona must assemble to earn (at least)
the following amounts:
i) $200
ii) $620
Please explain and with steps
Given :
Cost of each toy assembled by Fiona = 85 centsa) total amount of money she earns for assembling
(i)146 toys= cost of one toy x no. of toys she assembled= 85cents x 146= 12,410 cents or $124.10 (ii)203 toys= cost of one toy x no. of toys she assembled= 85cents x 203= 17,255 cents or $172.55b) total no. of toys assembled by Fiona by earning:
$459convert $459 into cents
$459 = 459 x 100 = 45,900 centsdivide the sum by the cost of a single toy
= 45900cents/85cents= 540 toyshence, she assembled 540 toys and earned $459 out of them.
c) no. of toys she must assemble to earn
(i) $200convert the sum into cents
$200 = 20,000 centsdivide the sum by the cost of a single toy
20,000cents/85cents= 235 toyshence, she must assemble 235 toys in order to earn $200
(ii) $620convert the sum into cents
$620 x 100 = 62,000 centsdivide the sum by the cost of a single toy
62,000cents/85cenfs= 729 toyshence,she must assemble 729 toys in order to earn $620
A cannon ball has been catapulted through the air and follows the path created by the
function f(t) = -16t2 + 30t + 7 where f(t) is the height of the cannon ball in
meters at any given time (t) in seconds.
Answer:
the cannon ball's maximum height is 21 meters rounded to the nearest whole number
Step-by-step explanation:
The maximum height of the cannonball will be 21.06 meters when the time t = 0.9375 seconds.
What is the parabola?It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
A cannonball has been catapulted through the air and follows the path created by the function given below.
f(t) = -16t² + 30t + 7
where f(t) is the height of the cannonball in meters at any given time (t) in seconds.
Then the height of the cannonball will be given by the differentiation. Then we have
\(\rm \dfrac{d}{dx} f(t) = -16t^2 + 30 t + 7 \\\\\\\dfrac{d}{dx} f(t) = -32t + 30\)
Then again differentiate to check whether the value is maximum or minimum.
\(\rm \dfrac{d^2}{dx^2} f(t) = -32t + 30\\\\\\\dfrac{d^2}{dx^2} f(t) = -32\\\\\\\dfrac{d^2}{dx^2} f(t) < 0\)
Then the value of the height will be maximum for f'(t) = 0.
f'(t) = 0
-32t + 30 = 0
t = 30/32
t = 0.9375
Then the maximum height will be
f(t) = -16(0.9375)² + 30(0.9375) + 7
f(t) = -14.0625 + 28.125 + 7
f(t) = 21.0625
f(t) = 21.06 meters
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A jug holds 10 pints of milk. If each child gets one cup of
milk, it can serve how many children?
A jug holds 10 pints of milk. If each child gets one cup of milk, it can serve 20 children. To determine how many children can be served with the 10 pints of milk, we need to convert pints to cups and divide the total amount of milk by the amount each child will receive.
1. Convert 10 pints to cups:
Since there are 2 cups in a pint, we can multiply 10 pints by 2 to get the total number of cups.
10 pints x 2 cups/pint = 20 cups of milk.
2. Divide the total cups of milk by the amount each child will receive:
Since each child gets one cup of milk, we can divide the total cups of milk by 1 to find the number of children that can be served.
20 cups ÷ 1 cup/child = 20 children.
Therefore, the jug of milk can serve 20 children if each child receives one cup of milk.
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I don’t know what to do with this what’s the answer
Given :-
Area = 10.6 cm²Height = 4cm\( \\ \\ \)
To find :-
Base of triangle\( \\ \\ \)
We know. :-
\( \boxed{ \rm Area_{(triangle)}= \frac{1}{2} \times base \: \times heigt}\)
\( \\ \)
By using this formula we can find base of triangle.
\( \\ \\ \)
So:-
\( \dashrightarrow\sf Area_{(triangle)}= \frac{1}{2} \times base \: \times heigt \\ \)
\( \\ \\ \)
\( \dashrightarrow\sf 10.6= \frac{1}{2} \times base \: \times 4\\ \)
\( \\ \\ \)
\( \dashrightarrow\sf 10.6= \frac{1}{ \cancel2} \times base \: \times \cancel4\\ \)
\( \\ \\ \)
\( \dashrightarrow\sf 10.6= \frac{1}{1} \times base \: \times 2\\ \)
\( \\ \\ \)
\( \dashrightarrow\sf 10.6 = base \: \times 2\\ \)
\( \\ \\ \)
\( \dashrightarrow\sf base \: \times 2 = 10.6 \\ \)
\( \\ \\ \)
\( \dashrightarrow\sf base= \frac{10.6}{2} \\ \)
\( \\ \\ \)
\( \dashrightarrow\bf base= 5.3 \: cm \\ \)
EASY MATH IF YOU CAN FIGURE IT OUT ILL GIVE YOU BRAINLEST AND THANKS AND THANKS TO ACCT AND 5 STAR RATINGS AND HELP U WITH ANY QUESTIOS
Answer: b2 should be 5 i believe
Step-by-step explanation:
Answer:
B∨2 = 5
Step-by-step explanation:
Hope this helps!
Dan used 1 3/8 gallons of gas on Saturday and 4 1/3 gallons on Sunday how many gallons did he use on the two days combined? Write your answer as a mixed number In simplest form
Dan used a total of 5 17/24 gallons of gas on Saturday and Sunday combined.
How to estimate the total gallons of gas Dan used on Saturday and Sunday combined?To find the total number of gallons Dan used on Saturday and Sunday, we shall add the amount of gas he used each day.
On Saturday, Dan used 1 3/8 gallons.
On Sunday, Dan used 4 1/3 gallons.
To add these two amounts, we shall find a common denominator by determining the least common multiple (LCM) of 8 and 3 is 24.
Converting 1 3/8 to an improper fraction:
1 3/8 = (8 * 1 + 3) / 8 = 11/8
Converting 4 1/3 to an improper fraction:
4 1/3 = (3 * 4 + 1) / 3 = 13/3
Now we can add the fractions using a common denominator, which is 24 in this case:
Let's convert both fractions:
11/8 = (11 * 3) / (8 * 3) = 33/24
13/3 = (13 * 8) / (3 * 8) = 104/24
Now we can add the fractions:
33/24 + 104/24 = (33 + 104) / 24 = 137/24
So, simplifying the fraction, we have:
137/24 = 5 (remainder 17)
5 17/24 gallons.
Hence, Dan used a total of 5 17/24 gallons of gas on Saturday and Sunday combined.
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PLEASE HELP!!!!!!! ILL GIVE BRAINLIEST ANSWER TOO
A rectangular prism has a length of 7 cm, a width of 4 cm, and a height of 212cm.
The prism is filled with cubes that have edge lengths of 12 cm.
How many cubes are needed to fill the rectangular prism?
Enter your answer in the box.
To fill the rectangular prism,
_______ cubes are needed.
first solve the volume of the rectangular prism
V = l x w x h
where l is the length
w is the width
h is the height
V = 7 x 4 x 2.5
v = 70 cu cm
then solve the volume of the box
v = e^3
v = 0.5^3
v = 0.125
number of cubes = 70 / 0.125
number of cubes = 560 cubes
Answer:
560 cubes
Step-by-step explanation:
Volume of prism :
Volume = length x width x heightVolume = 7 x 4 x 2.5Volume = 7 x 10Volume = 70 cm³Volume of cube :
Volume = (Edge length)³Volume = (0.5)³ Volume = 0.125 cm³Number of cubes :
Volume of prism / Volume of cube70 / 0.12570 x 8560 cubes
What property is this ?
a + (b + c) = (a + b) + c
Answer:
Associative Property of Addition
Find an ordered pair ( x, y ) that is a solution to the equation. 3x-y=7
The ordered pair are (1, -4), (0, -7), (2, -1).
To find the solution of the equation 3x -y= 7 we have to put the value for x.
let us take x= 1
3(1) -y =7
-y = 7 -3
-y = 4
y= -4
and, x= 0
y= -7
and, x= 2
-y = 1
y= -1
Thus, the ordered pair are (1, -4), (0, -7), (2, -1).
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Describe the quantities an operations you use to find how much time Rollin split on the planned activities which quantities and operations will you use to find how much free time Rollin had
The free time of rollin's will be 16 hours.
To find how much time Rollin spent on planned activities, we would need to have a list of all the planned activities and the duration of each activity. Then, we would add up the duration of all the activities to get the total time spent on planned activities.
we will add the time he spent playing, reading, having meals, and watching TV, which is 2 + 2 + 1 + 3 = 8 hours.
To find how much free time Rollin had, we would need to know the total amount of time available and subtract the time spent on planned activities from the total amount of time.
Therefore, we need to know the duration of each day (24 hours) and the duration of all planned activities. The free time can be calculated as
Free time = Total time available - Time spent on planned activities
So, Rollin's free time will be 24 - 8 = 16 hours.
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--The given question is incomplete, the complete question is given
"Describe the quantities an operations you use to find how much time Rollin split on the planned activities which quantities and operations will you use to find how much free time Rollin had. activites are playing, reading, meals, watching tv with time of 2hrs, 2 hrs, 1 hr, 3 hrs. "--
Mrs. Holmes’s physics class uses 3D-printing software to create miniature bridges that can hold at least 5 pounds. Teams will print multiple parts of the bridges and then assemble the parts. One team wants at least 6 inches between the bridge's upper and lower rail. The lower rail of the bridge contains points (2, 10) and (16, 3). Will the bridge meet the team's specifications if the upper rail contains points (5, 1)? If yes, how far apart are the rails? Let every unit represent an inch. Round your answer to the nearest hundredth, if needed.
Answer:
I litteraly have the same problem and no clue how to do I
Step-by-step explanation:
2) Circle each equation that represents a proportional relationship. 120 - x = L CA 1.08p =t т X = 4 V = 12s2 =
ANSWER
1.08p = t
x = m/4
V = 12s^2
EXPLANATION
The proportional relationship between the quantity y and the quantity x has a constant of proportionality k and is expressed by the equation y = kx. If the equation can be rewritten in other forms as above, it is proportional.
Equation 1.
120 - x = L.
This cannot be rewritten as y = kx
Equation 2:
1.08p = t
This can be rewritten as y = kx
Equation 3
x = m/4
This can be rewritten as y = kx
Equation 4
V = 12s^2
This can be rewritten as y = kx
Hence, 1.08p = t, x = m/4 and V = 12s^2 equations represent proportional relationships.
. Find the equation of each line from the given information (e) slope 0, y-intercept 3
We want to find the equation of the line that has slope = 0 and y-intercept = 3
Recall the equation of a line in slope-intercept form:
\(y=mx+b\)Where m is the slope and b is the y-intercept
We are given:
Slope = m = 0
Y-intercept = b = 3
We simply plug in the values into the equation and get our answer. Shown below:
\(\begin{gathered} y=mx+b \\ y=(0)x+3 \\ y=0+3 \\ y=3 \end{gathered}\)This is a horizontal line that goes through y = 3. For further understanding, the graph is shown below:
A video game that usually costs $30.65 is marked down 60%. Kelvin determined that the new price of the game would be $18.39. Look at Kelvin's work and find his error.
Answer: The answer is provided below
Step-by-step explanation:
A price markdown is a reduction that is deliberate when selling a product. From the question, we are informed that a video game that usually costs $30.65 is marked down 60%.
The find the new price of the video game, we have to subtract the amount reduced from the original price. The amount reduced is:
= 60% of $30.65
= 60/100 × $30.65
= 0.6 × $30.65
= $18.39
The new selling price = $30.65 - $18.39
= $12.26
The error that Kelvin made when he determined that the new price of the game would be $18.39 was that he didn't subtract the value from the original price of the video game.
Compare the integers, and write the integer with the greater value. -4, -1
Answer:
it should be 1-
Step-by-step explanation: -1 is closer to the zero and that makes it have a greater value than -4, -4 is farther that makes it less. I hope this helps.
Can someone answer this for me
Answer:
B goes to the neither parralell.A goes to the 2nd one and the last one goes to parell
Step-by-step explanation: