The cart slows that at the rate of 20cm/s between 5 and 15secs
Given the rate function expressed as:
r(t) = 2t + 60
If the time is t = 5
r(5) = 2(5) + 60
r(5) = 70cm/s
If the time is t = 15
r(15) = 2(15) + 60
r(15) = 90cm/s
Taking the difference in rate;
Difference = 90cm.s - 70cm/s
Difference = 20cm/s
Hence the cart slows that at the rate of 20cm/s between 5 and 15secs
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five men can repair a stretch of road in 8 hrs. how many men would be needed to repair the same road in 3 1/3 hrs
also tell if its direct or inverse proportion
i just wanna check my answer, whether its correct or not
Answer: 12 men would be needed to repair the same road in 3 1/3 hrs. Inverse proportion because usually in work,food and time its inversly proportional.
8 hours --> 5 men
1 hour --> 5*8 = 40 men
3 1/3 hours --> 40/ (3 1/3) men
--> 12 men
the line passes through the point (6,1) and has a slope of -1/2 what is the point slope form and slope intercept form
Hi there! :)
We are given the slope of the line and a point that it passes through.
Using this information, we can write the equation in point-slope form:
y-y1=m(-x1)
y-1=-1/2(x-6)
y-1=-1/2x+3
Now, move -1 to the right, using the opposite operation:
y=-1/2x+3+1
y=-1/2x+4
And that's our equation. Hope it helps.
*Graceful Dreamer here to help
Good luck.
Suraj took a slice of pizza from the freezer and put it in the oven. The pizza’s temperature (in degrees celsius) as a function of time (in minutes) is graphed. What was the pizza’s temperature after 2 minutes?
For this case, the first thing we should do is write the linear function that best suits the table.
In this case we have the following function:
y = 7.5x - 5
C = 7.5t-5
For C = 100 we have:
100 = 7.5t-5
We clear the time:
t = (100 + 5) / (7.5)
t = 14
Answer:
it did take the pizza to reach 100 degrees Celsius about 14 minutes
The segments shown below could form a triangle.
A. True
B. False
False
When completing something like this, the Phythagoream Therom comes into focus. It states that:
A^2 + B^2 = C^2
According to my calculations, A^2 + B^2 = 130 whereas C^2 is 320. This is incorrect and therefore is false.
You are asked to examine a t-shirt that was worn when someone was suspected to have fired a gun. The
detective wants to see if there is gunshot residue on it. Which microscope will you use for this task? SOMEONE PLZZZZ HELP ME ON THIS!
Answer:
The scanning electron microscope
Step-by-step explanation:
The scanning electron microscope can determine the proximity to a discharging firearm and/or the contact with a surface exposed to GSR
A city park is in the shape of a triangle where
the sides have lengths 170 m, 162 m, and
177 m. If a fence was built around the
perimeter of the park, how long would the
fence need to be?
Answer:
solution here
length
c=170
a=162
b=177
perimeter=?
now,
perimeter of triangle = a+b+c
=170+162+177
=511
perimeter=511 cm
perimeter = length of fence
therefore,the fence should be 511 cm long.
The length of the fence needed would be 509 meters.
What is a triangle?A triangle is a two - dimensional figure with three sides and three angles.The sum of the angles of the triangle is equal to 180 degrees.Given is that a city park is in the shape of a triangle where the sides have lengths 170 m, 162 m, and 177 m.
The length of the fence needed would be the perimeter of the triangle. We can write the perimeter of the triangle as -
P = sum of the side lengths
P = 170 + 162 + 177
P = 509 meters
Therefore, the length of the fence needed would be 509 meters.
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1. A FoodPanda rider believes that his tips from various customers has a slightly right skewness with a mean of RM10 and a standard deviation of RM2.50. a. Calculate the mean and standard deviation of the sampling distribution of this tips for a sample of 25 customers. Describe the shape of its sampling distribution. [4 marks]
Using the Central Limit Theorem, it is found that:
The sampling distribution is slightly right skewed, with mean of RM 10 and standard deviation of RM 0.5.
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, if the sample size is at least 30, the shape is approximately normal, otherwise it still is skewed.In this problem, the mean is of 10 and the standard deviation is of 2.50, hence [tex]\mu = 10, \sigma = 2.5[/tex]
Sample of 25, hence [tex]n = 25, s = \frac{2.5}{\sqrt{25}} = 0.5[/tex]
Since the underlying distribution is skewed and the sample size is less than 30, the shape of the sampling distribution is slightly right skewed.
The sampling distribution is slightly right skewed, with mean of RM 10 and standard deviation of RM 0.5.
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Someone Help?
Find the problem:
22 + 53x + x = -20 + 60x
22+ 54x = -20 + 60x
22= -20+ 6x
2= 6x
x = 1/3
Fix the problem (Rewrite and solve):
9. YOU BE THE TEACHER Your friend
says 9 divided by 2.5 is about 3. Is your friend's
estimate reasonable? Explain.
Answer:
Step-by-step explanation:
Yes, it's reasonable.
What you are doing is solving the question by rounding. You come up with an answer. Suppose you loose the decimal somewhere and you get 0.36? Is that reasonable? Do you just write the answer in the provided blank and move on. What now?
You get it wrong?!!
But your estimate should be about 9/3 = 3. Now you look at your calculator with great misgivings, because it made a mistake. Did it or did you? Well ultimately you did, but you have to blame something. So the calculator takes the heat.
Who knows? Maybe the decimal doesn't work. It's stuck or something. In any event you should be aware that there's no way the answer could be 0.36 when you estimate it to be 3.
Pleaseeeee help ASAP thank youuu!!!!!!!
At TGI Fridankay's you order a drink for $2.99, an appetizer for $9.99, the cajun chicken pasta for $11.50, and a dessert for $7.99. You had amazing service and know that you are going to tip your waiter 20%! The waiter also gave you a 10% coupon to use. There is also a 7% sales tax on the bill. What is your total bill after the tip, discount, and tax?
The total bill after the tip, discount, and tax is $37.76.
The total cost of the order is reduced by the coupon and increased by the tax paid and tip.
Total cost of the items bought = cost of the drink + appetizer + Cajun + dessert
$2.99 + $9.99 + $11.50 + $7.99 = $32.47
Value of the tip = 20% x $32.47 = $6.49
Cost of the items after the coupon: (100% - 10%) x $32.47
90% x $32.47
0.9 x $32.47 = $29.22
Cost of the items after the tax: (1.07) x $29.22 = $31.27
Total cost of the items = $31.27 +$6.49 = $37.76
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HELP PLEASE!! WILL GIVE BRAINLIEST TO CORRECT QNSWER.
Use the quadratic formula to find the solution to the quadratic equation given below.
x²-x+¼=0
The quotient of a number and negative eight is five-eighths. Find the number.
Answer:
-64/5
Step-by-step explanation:
Basically, the word "quotient" means the answer to a division problem. Therefore, its a division problem, so you have to work backwards with multiplication. -8 times a number is 5/8, so the other number is going to be negative.
The number is -64/5
Answer:
n = -5
Step-by-step explanation:
Form this quotient, representing the number by n: n / (-8) = 5/8.
Solve this equation for n by multiplying both sides by 8: -n = 5. Then n = -5
A sixth grade class collects 176 items for recycling three out of every eight items are cans the rest are bottles how many bottles does the class collect
Answer:
110
Step-by-step explanation:
We know that 5/8 of 176 so the answer is 110.
110 bottles class collect.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
A sixth grade class collects 176 items.
Now, three out of every eight items are cans
= (8- 3)
= 5
So, number of bottles class collect
= 176 x 5 / 8
= 22 x 5
= 110
Hence, 110 bottles class collect.
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-35.9=y/0.1+0.1 please help me with this.
Answer:
358.9 I think
Step-by-step explanation:
The Fresh and Green Company has a savings plan for employees. If an employee
makes an initial deposit of $1000, the company pays 8% interest compounded
quarterly. If an employee withdraws the money after five years, how much is in
the account?
Answer:
$1400
Step-by-step explanation:
The Fresh and Green Company has a savings plan for employees. If an employee makes an initial deposit of $1000, the company pays 8% interest compounded quarterly. If an employee withdraws the money after five years, how much is in the account?
First you need to make 8% into a decimal.
To do that you need to move the decimal point to spaces to the left.
8. ----- 0.8 ----- 0.08
The decimal is 0.08.
Now multiply $1000 by 0.08.
Which is $80.
Now do $80 times 5 years.
which is $400 interest.
Now add $400 to $1000.
Which is $1400.
help me plzzz i really need help its also in Spanish plzzzzzzzzzzzz help meeeee(ToT)(ToT)(ToT)
Answer:
1. veinte (10 * 2 = 20)
2. tres ( 12 ÷ 4 = 3)
3. veinte (18 + 2= 20)
4. diez ( 15 - 5 = 10)
5. once (14 - 3 = 11)
x+3<9 answer pls 2x+5<12
Answer:
first one: x<9 second: x<3.5 or 7/2
Step-by-step explanation:
first: substract 3 from both sides
second: substract 5 and then divide by 2
Need help with this question pre collegee
Answer:
Step-by-step explanation:
the domain is (-∞,∞)
Jada buys 5 notebooks and 6 pens. Each notebook costs $4. Jada pays the cashier $40 and gets $8 change.
What is the cost, in dollars, of one pen? Show or explain how you got your answer.
Answer:$2
Step-by-step explanation:
5 notebooks cost $4 each
5*$4=$20
Jada pays the cashier $40 and gets $8 back
So in order to figure out how much was paid you take
$40-$8=$32
Then to figure out how much each pen cost I take
$32-$20=$12
So there was 6 pens that were bought and to get the total per each pen
$12/6=$2 each per pen
Please help me solve this question I'm stuck on
The answer to the question is
D) ($9. 60, $9. 84)
Rate of change for y=5x+30
Answer:
5
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
Help. i need it ASAP
Answer:
The third choice is correct.
Step-by-step explanation:
Multiply. −2(−5)(−3)
Answer: -30
Step-by-step explanation:
-2 X -5 = 10
10 X -3 = -30
Therefore, -2(-5)(-3) = -30
The multiplication of −2(−5)(−3) is -30
The multiplication of numbers in brackets with negative signs takes a method whereby the signs are taken into account when performing the arithmetic operation.
From the given question, we are to multiply:
= - 2 × (-5) × (-3)
= +10 × (-3)
= -30
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If the probability that a randomly chosen college student uses a ride sharing app is 0.27, then what is the probability that a randomly chosen college student does not use a ride sharing app?
Give your answer as a decimal.
Answer:
0.73
Took the quiz
The probability that a randomly chosen college student does not use a ride sharing app is 0.73.
What is the probability?Probability is a stastistical measure that is used to determine who likely it is that event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that a randomly chosen college student does not use a ride sharing app = 1 - 0.27 = 0.73
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My mom walks 1 mile in 14
minutes. If she walked for 56
minutes, how far did she walk?
Answer:
4 miles
Step-by-step explanation
If your mom can walk 1 mile in 14 minutes then 2 miles would take her 28 minutes 3 miles would take her 42 minutes and finally if she walked 4 miles it would take her 56 minutes.
14 + 14 + 14 + 14 = 56
14 x 4 = 56
Write the ratio 4 1/5 to 5 2/5 as a simplified fraction
Answer:
[tex]\huge\boxed{4\dfrac{1}{2}:5\dfrac{2}{5}=5:6}[/tex]
Step-by-step explanation:
[tex]4\dfrac{1}{2}:5\dfrac{2}{5}[/tex]
we convert a mixed number to an improper fraction
[tex]4\dfrac{1}{2}=\dfrac{4\cdot2+1}{2}=\dfrac{9}{2}\\\\5\dfrac{2}{5}=\dfrac{5\cdot5+2}{5}=\dfrac{27}{5}[/tex]
Therefore
[tex]4\dfrac{1}{2}:5\dfrac{2}{5}=\dfrac{9}{2}:\dfrac{27}{5}=\dfrac{9\!\!\!\!\diagup^1}{2}\cdot\dfrac{5}{27\!\!\!\!\!\diagup_3}=\dfrac{1}{2}\cdot\dfrac{5}{3}=\dfrac{1\cdot5}{2\cdot3}=\dfrac{5}{6}=5:6[/tex]
The ratio 4 1/5 to 5 2/5 is equivalent to the simplified fraction 7/9.
How to write the simplified factionTo write the ratio 4 1/5 to 5 2/5 as a simplified fraction, we need to convert both mixed numbers to improper fractions and then find their ratio.
Step 1: Convert the mixed numbers to improper fractions:
4 1/5 = (4 * 5 + 1) / 5 = 21 / 5
5 2/5 = (5 * 5 + 2) / 5 = 27 / 5
Step 2: Find the ratio by dividing the first fraction by the second fraction:
Ratio = (21 / 5) / (27 / 5)
Step 3: To divide by a fraction, multiply by its reciprocal:
Ratio = (21 / 5) * (5 / 27)
Step 4: Simplify the fraction:
Ratio = (21 * 5) / (5 * 27)
Ratio = 105 / 135
Step 5: Simplify the fraction further by dividing both the numerator and denominator by their greatest common divisor, which is 15:
Ratio = (105 / 15) / (135 / 15)
Ratio = 7 / 9
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A 5 foot wide painting should be centered on a 11 foot wide wall. How many feet (x) should be on each side of the painting?
Answer:
3 feet on each side
Step-by-step explanation:
11 - 5 = 6
6/2 = 3
The length of a rectangle is 6 less than triple its width. If the perimeter is 84 feet, find the length and width of the rectangle.
Answer:
0.00714285 less per foot
Step-by-step explanation:
Which number is a favor of 12 but not a multiple of 2
Answer:
3
Step-by-step explanation: