First, note that 100 m = 0.100 km.
Recall that
v² - u² = 2 a ∆x
where u and v are initial and final velocities; a is acceleration; and ∆x is displacement. Solve for a :
(72 km/h)² - (108 km/h)² = 2 a (0.100 km)
a = ((72 km/h)² - (108 km/h)²) / (0.200 km)
a = -32,400 km/h²
If you want to convert this to m/s², we have
(-32,400 km/h²) = (-32,400 km/h²) (1000 m/km) (1/3600 h/s)²
(-32,400 km/h²) = -2.50 m/s²
what is 4/11 divided by 4/9 as a fraction
Answer:
9/11
Step-by-step explanation:
To divide, you have to flip the dividend.
So, 4/9 would become 9/4
Then you multiply 4/11 by 9/4
This would give you 36/44
Simplify.
18/22
Simplify some more.
9/11
Hope I helped :)
Please consider Brainliest :)
find the equation of the linear function represented by the table below in slope- intercept form. picture below of the table
A salesperson is paid a flat rate plus a fixed percentage of her sales. Last month, she sold $16,000 worth of goods and was paid $1,600. Two months ago, she had $12,000 in sales and was paid $1,400. This month she sold $11,000 worth of goods. How much will she be paid?
Answer:
She will be paid $1,350
Step-by-step explanation:
Linear Modeling
Some events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.
The linear function can be expressed in the slope-intercept format:
y=mx+b, where m and b are constants.
The payments for a salesperson will be linearly modeled. There are two known points: When the sales were $16,000, the payment was $1,600. This makes the point (16,000;1,600).
We also know when the sales were $12,000, the payment was $1,400. The point is (12,000;1,400)
Let's use the points to find the values of m and b.
Using (16,000;1,600):
1,600=m*16,000+b
Using (12,000;1,400):
1,400=m*12,000+b
Subtracting both equations:
200=16,000m-12,000m
200=4,000m
Solving:
m=200/4,000=0.05
Using the first equation and the value of m:
1,600=0.05*16,000+b
1,600=800+b
Solving:
b=800
The equation is now complete:
y=0.05x+800
She sold $11,000 this month, so the payment is:
[tex]y=0.05\cdot 11,000+800[/tex]
Y=550+800=1,350
She will be paid $1,350
Answer:
1350
Step-by-step explanation:
(Note: this method is not the best to use in future problems, please refer to the other answer if you want something better to use.)
16,000-12,000=4,000
1,600-1,400=200
To find the rate of change in 1000s:
200/4 = 50
Essentially this means the rise is 50 and the run is 1000, so, just remove $50 from the payment from 2 months ago to find your answer
Help me please is the math
Answer:
2nd) which is 4 multiplied by 5 multiplied by 2
Question
An amount of $290,000 is borrowed for a period of 25 years at an interest rate of 4%. The amortization schedule for this
loan is below. Payments of $1,530.73 are made monthly.
Payment #
1
2
Payment Interest
1,530.73 966.67
1, 530.73964.79
1.530.73 962.90
Debt Payment
564.06
565.94
567.83
Balance
289, 435.94
288, 870.00
288, 302.17
3
4
X
5
Calculate x,the balance on the loan at the end of month 4. Give your answer to the nearest dollar. Do not include commas
or the dollar sign in your answer.
Provide your answer below:
The Answer is
$287732
I wish you all the best of luck
find the equation of the line that has the given slope and passes through the given point. write the equation in the slope intercept form. m=2 (5,4)
Answer:
y = 2x - 6
Step-by-step explanation:
Use the slope-intercept form of the equation of a line.
y = mx + b
y = 2x + b
4 = 2(5) + b
4 = 10 + b
b = -6
y = 2x - 6
Which transformation reflects f(x)=(x-1)² over the y-axis?
A) f'(x) = 0.3((x-1)²+1)
B) f'(x) = -3((x-1)²+1)
C) f'(x) = (-4x-1)²+1
D) f'(x) = (0.1x-1)²+1
Answer:
A) f'(x) = 0.3((x-1)²+1)
Step-by-step explanation:
Which equation has the solution n = 11?
7n - 8 = 62
8n + 6 = 102
3n + 12 = 45
5n - 20 = 25
URGENT!!!
Answer:
3n + 12 = 45
Step-by-step explanation:
3n + 12 = 45
3n = 45 - 12
3n = 33
n = 33
3
n = 11
Answer:
3n + 12 = 45
Step-by-step explanation:
*Process of elimination*
___________________
3n + 12 = 45
(given)
_________
3n + 12 = 45
- 12 - 12
(subtraction property of equality)
__________________________
3n = 33
÷ 3 ÷ 3
(division property of equality)
_______________________
n = 11
_____
7n - 8 = 62
(given)
________
7n - 8 = 62
+ 8 + 8
(addition property of equality)
__________________________
7n = 70
÷ 7 ÷ 7
(division property of equality)
_______________________
n = 10 ≠ 11
________
8n + 6 = 102
(given)
________
8n + 6 = 102
- 6 - 6
(subtraction property of equality)
__________________________
8n = 96
÷8 ÷8
(division property of equality)
_______________________
n = 12 ≠ 11
________
5n - 20 = 25
(given)
________
5n - 20 = 25
+ 20 + 20
(addition property of equality)
__________________________
5n = 45
÷5 ÷5
(division property of equality)
_______________________
n = 9 ≠ 11
Roxy is multiplying 1/8 by 4/3 use the drop down
the answer ur welcome
Use the figure to find the measure of <6
Step-by-step explanation:
angle 6 is equal to 124° because those two angles are vertical angles. And vertical angles are always equal to each other
What integer represents you getting $200 from the bank
Answer:
positive 200 or +200
Step-by-step explanation:
Jacob and Sarah are saving money to go on a trip. They need at least $1975 in order to go. Jacob mows lawns and Sarah walks dogs to raise money. Jacob chargers $25 each time he mows a lawn and Sarah chargers $15 each time she walks a dog. The number of dog walks that Sarah has scheduled is no more than four times the number of lawns Jacob has scheduled to mow. Sarah will walk at least 50 dogs. Write a set of constraints to model the problem, with x representing the number of lawns mowed and y representing the number of dogs walked. ( Brainliest Answer) please be honest with your response.
Question asked:Jacob and Sarah are saving money to go on a trip. They need at least $1975 in order to go. Jacob mows lawns and Sarah walks dogs to raise money. Jacob charges $25 each time he mows a lawn and Sarah charges $15 each time she walks a dog. The number of dog walks that Sarah has scheduled is no more than four times the number of lawns Jacob has scheduled to mow. Sarah will walk at least 50 dogs.Write a set of constraints to model the problem, with x representing the number of lawns mowed and y representing the number of dogs walked.
My answer:
They need at least $1975. Jacob charges $25 each time he mows a lawn and Sarah charges $15 each time she walks a dog.
25x + 15y ≥ 1975
The number of dog walks that Sarah has scheduled is no more than four times the number of lawns Jacob has scheduled to mow.
y ≤ 4x
Sarah will walk at least 50 dogs.
y ≥ 50
jenns age is 3 years less than marks age the sum of their ages is 30 let m be marks age find Jenna age
Answer:
you could do 27+x=30
Step-by-step explanation:
Use the drop down menus to complete the statement to match the information shown by the graph
Hasan travels
at the same speed asAnneliese because the
slopeof Hasan's graph is
equal tothat of Anneliese's graph.
The
slopeof the graph tells you the unit rate is in
meters per minutersPlease help me I don’t get this
Sum of the interior angles of any triangle equal 180° .
Thus ;
[tex]x + 2x + x + 8 = 180[/tex]
[tex]4x + 8 = 180[/tex]
Subtract sides -8
[tex]4x + 8 - 8 = 180 - 8[/tex]
[tex]4x = 172[/tex]
Divided sides by 4
[tex] \frac{4}{4}x = \frac{172}{4} \\ [/tex]
[tex]x = 43[/tex]
So the angles are :
x = 43°
2x = 2 ( 43 ) = 86°
x + 8 = 43 + 8 = 51°
Thus the order from least to greatest ,
is : 43° , 51° , and 86°
_________________________________
And we're done.....♥️♥️♥️♥️♥️
Carmelita used the multiplication table below to write ratios that are equivalent to StartFraction 3 Over 7 EndFraction. A multiplication table. In the row labeled 3, the numbers 3, 6, 9, 12, 15, 18, 21, 23, and 27 are highlighted. In the row labeled 7, the numbers 7, 14, 21, 28, 35, 42, 49, 56, and 63 are highlighted. One number is missing from the equivalent ratio, as shown. StartFraction 21 Over Blank EndFraction What is the missing number? 7 9 24 49
First correct answer gets brainlest.
Answer:
The answer is 49.! :)
Step-by-step explanation:
If you look at the table, it shows 3;7. If you look at the 21 in the 2 row, and look under it in the other orange row its 49. So the answer would be 49! :)
Step-by-step explanation:
Answer:
49
Step-by-step explanation:
PLZ ANSWER FAST (40 POINTS + BRAINLIEST)
Rewrite the expression [tex]y\frac{2}{3}[/tex] as a radical expressions.
Answer:
[tex] \sqrt[3]{y {}^{2} } [/tex]
help will do brainliest uwu I thought of a number, I added 1 3 4 to it, then I multiplied the result by 2 2 11 and I got 8. What was my number?
Answer:
152
Step-by-step explanation: 1+3=4+4=8x2=16x2=32x11=152
PLEASE HELP WILL AWARD BRAINLIEST!! A company makes chairs, loungers, and footstools. Each item uses units of wood, fabric, and stuffing. Chairs use 30 units of wood, 30 units of fabric, and 10 units of stuffing. Loungers use 25 units of wood, 15 units of fabric, and 10 units of stuffing. Footstools use 20 units of wood, 5 units of fabric, and 5 units of stuffing. There are 1,380 units of wood, 890 units of fabric, and 450 units of stuffing available to make the items. Which three equations are needed to find the largest number of x chairs, y loungers, and z footstools that can be made? Drag and drop the correct equations into the box.
Answer:
30x+25y+20z=138030x+15y+5z=89010x+10y+5z=450Step-by-step explanation:
in this problem we are expected to formulate the constraints
let chairs, loungers and footstools be x, y and z respectively
1. For wood we have
30x+25y+20z=1380
2 . For fabric we have
30x+15y+5z=890
. For stuffing we have
10x+10y+5z=450
therefore the three equation are
30x+25y+20z=1380
30x+15y+5z=890
10x+10y+5z=450
Write the word sentence as an equation. Then solve.
The sum of a number y and -3 is –8.
Equation:
Solution: y =
24
Answer:
The equation is: y + -3 = 8
And y = -5
Step-by-step explanation:
Sum means addition which means the sum of a number y and -3 is the same as y + -3. So, you would add the =8's to make it an equation.
what value is equivalent to 8. 9 - 2 . 5
Answer:
6.4
Step-by-step explanation:
Hope this helps :)
Help please!!! Ty to anyone who answeres
Answer:
Scale factor=2
The perimeter of the enlarged figure is 19
The area of the enlarged figure is 4 times the area of the original figure
Step-by-step explanation:
Scaling
There are two figures, the red rectangle (original) and the blue rectangle (enlarged).
To find the scale factor we directly compare the height of both rectangles and note:
height of original rectangle=1.5
height of enlarged rectangle=3
Thus, the scale factor is 3/1.5 = 2
Scale factor=2
The original perimeter is calculated as:
P1=2*1.5+2*3.25=3+6.5=9.5
The perimeter of the enlarged figure is 2 times the original perimeter
P2=2*9.5=19
The perimeter of the enlarged figure is 19
To calculate the area of the enlarged figure, we use
A2=H2*W2
Where H2 and W2 are the height and width of the enlarged figure.
Since
H2=2*H1
W2=2*W1
A2=4*A1
The area of the enlarged figure is 4 times the area of the original figure
QUESTION 05 (10 points) - Sample Size Determination in Estimating Population Mean In this hypothetical scenario, you are working for a consumer protection agency. Your boss assigned you the task of conducting a survey on cheese burgers at a national restaurant chain. In your report, you would need to construct a 90% confidence interval for the mean weight of cheese burgers. Based on past surveys on cheese burgers at this restaurant chain, the standard deviation of weight is 0.21 pound. It is required that the maximum likely sampling error of mean weight be 0.05 pound. A cheese burger at the restaurant chain costs $1.29. What is the required budget in dollars (2 decimals) to have the cheese burgers in your sample, assuming no sales tax
Answer:
$ 37.32 is the required budget in dollars (2 decimals) to have the cheese burgers in your sample
Step-by-step explanation:
Here
Z∝ =1.64
Standard Deviation=S= 0.21
Sampling Error= SE= 0.05
As Sampling Error is found by
SE= z * s/√n
√n= z*s/ SE
n= (z* s/ SE)²
We use the above formula to calculate N
N= ( Z * S/SE)²
N= (1.64 * 0.21/0.05)²
N= 28.9296= 28.93
Cost of N number of burgers
= Cost *N
= $1.29 * 28.93= $ 37.32 is the required budget in dollars (2 decimals) to have the cheese burgers in your sample
Cody has two bags of counters, bag A and bag B.Each of the counters has either an odd number or an even number written on it. There are 10 counters in bag A and 7 of these counters have an odd number written on them. There are 12 counters in bag B and 7 of these counters have an odd number written on them. Cody is going to take at random a counter from bag A and a counter from bag B.
a) Complete the tree diagram.
Harriet also has a bag of counters. Each of her counters also has either an odd number or an even number written on it. Harriet is going to take at random a counter from her bag of counters. The probability that the number on each of Cody's two counters and the number on Harriet's counter will all be even is 3/100.
b)Find the least number of counters that Harriet has in her bag.
monke monked mon key
Shania is taking a survey about her attitude towards children’s programming. Even though she still watches Sesame Street every night before she goes to bad, she is afraid she will be judged so she answers dishonestly. This is an example of which problem of surveys?
Answer:
Response Bias
Step-by-step explanation:
This is an example of the problem known as Response Bias. This is basically any and all reasons an individual may have for not answering a question truthfully regardless of the reason. This is a huge problem when conducting a survey since there are almost no ways to prevent this and false responses can completely contaminate the results gathered by the survey. In this scenario, the reason for lying was fear and shame which are normal emotions for individuals and is impossible to predict who will lie due because of it.
What is the answer to 1/6 plus 2/3
Answer:
5/6
Step-by-step explanation:
First, you need to make sure they have a common denominator, or else addition is not possible.
Luckily, in this case, 6 and 3 are divisible.
You would multiply 2 by 2/3 to get the common denominator of 6
The new expression would be:
4/6 + 1/6
Now, you just need to add the numerators
4 + 1 = 5
The correct answer would be 5/6.
Hope this helps! Good luck :)
Answer: 5/6
do you have a calculator or sum, cuz it's pretty easy
The speed of light is 3 x 10^8 meters per second. The sun is approximately 230.000.000 meters from Mars. How many seconds does it take for the sunlight to reach mars? Write your answer in scientific notation using the format: 4.2x10^5 With no spaces Round to the nearest tenth. Do not include units (Seconds) in your answer.
URGENT
Answer:
0.8
Step-by-step explanation:
Given that:
Speed of light = 3 * 10^8 m/s
Distance of sun to Mars = 230,000,000 meters
How many seconds does it take for sunlight to reach Mars?
Using the relation :
Speed = distance / time
Hence ;
Time = Distance / Speed
Time = 2.3 * 10^8 / 3 * 10^8
Time = 0.766
Time = 0.8 ( nearest tenth)
Tommy Flanagan was telling you what he ate yesterday afternoon. He tells you, "I had either popcorn or raisins. Also, if I had cucumber sandwiches, then I had soda. But I didn’t drink soda or tea." Of course you know that Tommy is the worlds worst liar, and everything he says is false. What did Tommy eat? Justify your answer by writing all of Tommy’s statements using sentence variables (P, Q, R, S, T), taking their negations, and using these to deduce what Tommy actually ate.
Answer:
tom ate sandwiches of cucumber and also had tea
Step-by-step explanation:
The computation is shown below:
P:I = popcorn
Q:I = raisins
R:I = cucumber sandwiches
S:I = sodas
T:I = tea
1. It could be either popcorn or raisins
2. If i take sandwiches of cucumber so it also had soda
3. Do not drink soda or tea
Now considered the negation of 1, 2 and 3
So,
[tex]\sim (PVQ) = \sim P \wedge \sim Q\\\\\sim (R \to S) = \sim(\sim R\vee S) = R \wedge \sim S\\\\ \sim(\sim S \vee \sim T) = S \wedge T[/tex]
Now combining 4, 5 and 6
We get
[tex]\sim P \wedge \sim Q \wedge R \wedge \sim S \wedge S \wedge T\\\\\sim P \wedge \sim Q \wedge R \wedge T[/tex]
So, tom ate sandwiches of cucumber and also had tea
In a laboratory, 3 technicians are analyzing the active ingredient in the product vials. Amir, Betty, and Carlos analyze 0.55, 0.30, and 0.15 of the vials, respectively. Inaccurate are 0.6 percent of the analyses conducted by Amir, 0.4 percent of the analyses conducted by Betty, and 1.0 percent of the analyses conducted by Carlos in this study. What is the probability that an inaccurate analysis, detected at final verification, was conducted by Carlos
Answer:
The probability is [tex]P(C | I) = 0.025[/tex]
Step-by-step explanation:
From the question we are told that
The proportion analyzed by Amir is P(A) = 0.55
The proportion analyzed by Betty is P(B) = 0.30
The proportion analyzed by Carlos is P(C) = 0.15
The inaccuracy by Amir is p = 0.6% = 0.006
The inaccuracy by Betty is b = 0.4% = 0.004
The inaccuracy by Carlos is c = 0.1% = 0.001
Generally the probability of inaccurate analysis is mathematically represented as
[tex]P(I) = P(A) * p + P(B) * b + P(C) * c[/tex]
=> [tex]P(I) = 0.55 * 0.006 + 0.30 * 0.004 + 0.15 * 0.001 [/tex]
=> [tex]P(I) = 0.006 [/tex]
Generally the probability that an inaccurate analysis, detected at final verification, was conducted by Carlos is mathematically represented as
[tex]P(C | I ) = \frac{P(C) * c}{P(I)}[/tex]
=> [tex]P(C | I) = \frac{ 0.15 * 0.001}{ 0.006}[/tex]
=> [tex]P(C | I) = 0.025[/tex]
Anna found a piece of sediment with a diameter of 0.977 millimeters. Write the size of Anna’s sample in expanded form without exponents
Answer:
The answer in the expanded form is (0.9 + 0.07 + 0.007) millimeters
Step-by-step explanation:
Here, we want to write the size of the diameter of the sediment in the expanded form without exponents
Thus, we have;
0.977 = 0.9 + 0.07 + 0.007
The size of Anna's sample in expanded form can be written be expanding the decimal places.
The expanded form without exponents is (0.9 + 0.07 + 0.007).
Given:
The given diameter is 0.977 millimeters.
Separate the two decimal place of given number.
[tex]0.977=0.9+0.077[/tex]
Separate the three decimal place of given number.
[tex]0.977=0.9+0.07+0.007[/tex]
The expanded form without exponents is (0.9 + 0.07 + 0.007).
Learn more about number expansion here:
https://brainly.com/question/1665479