Investigators at the scene of a crime strongly suspect that a handwritten promissory note for $10,000.00 has been altered to read $40,000.00. how might this be proven?
To prove that there is altering made on the promissory note, the investigators should test the ink on a piece of TLC. This would tell them when the ink was used and how long ago it was used so they can compare.
Julie owns a video store. Her monthly expenses, including rent, average $1,168. This year she made $34,416 in revenue. What is the difference between her average monthly revenue and her average monthly expenses?
A rectangle is cut in half along the diagonal to form a triangle. if the area of the triangle is (2x + 10) cm^2, what is the area of the rectangle? Please provide steps and reason for your answer too!
4/5 - 2/7 find difference
A regular 18-sided polygon is rotated with the center of rotation at its center.
What is the smallest degree of rotation needed to map the polygon back on to itself?
Is it 180 degrees or 20 degrees? Or are both my answers wrong? :(
360 degrees / 18 sides = 20 degrees
the answer is 20 degrees
A meteorologist was accurate 90% of the time, reporting accurately on 45 days. how many days of weather did he report? 50
Trina and Jessie went on a vacation. Trina went scuba diving with an elevation of -85.6. Jessie went hand gliding with an altitude of 87.9 meters . Which is above sea level
Please calculate −0.5(7b−12a)−(8.4a−14b) if a=−10; b=−6.
To pay for a swimming pass, Cameron earned $65 by mowing lawns. Cameron plans to go swimming for 10 weeks this summer. He can buy a pass for $60, pay the regular price of $1.25 each time, or buy a permit for $25 plus 50 cents each time he swims. Cameron estimates that he will go swimming 5 times per week. Which is the best deal?
A line passes through the point (4, –2) and has a slope of mc010-1.jpg.
What is the value of a if the point (–4, a) is also on the line?
–6
–5
5
6
The value of a if the point (–4, a) is also on the line is -6
What is the value of a if the point (–4, a) is also on the line?If a line passes through the point (4, –2) and has a slope of 1/2, its equation can be written in point-slope form as:
y - (-2) = 1/2(x - 4)
Simplifying the equation gives:
y + 2 = 1/2x - 2
To find the value of a, substitute x = -4 and y = a into the equation:
a + 2 = 1/2(-4) - 2
a + 2 = -4
a = -6
Hence, the value of a is -6
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Question
A line passes through the point (4, –2) and has a slope of 1/2 What is the value of a if the point (–4, a) is also on the line?
Point Z on a coordinate grid is at (-1,3). If the point is reflected across the line y=-x, what are the coordinates of its image?
Shen needs to memorize words on a vocabulary list for german class. he has memorized 12 of the words, which is two-thirds of the list. how many words are on the list?
An airplane over the Pacific Ocean sights an atoll at an 7° angle of depression. If the plane is 663 m above the water, how many kilometers is it from a point 663 m directly above the atoll
there are 40 girls on a softball team. 3 out of every 5 prefer chocolate over vanilla milkshakes .
how many girls prefer chocolate milkshakes
24 girls prefer chocolate milkshakes out of 40 girls.
Ratio and proportionsFrom the given information, you can see that we have a total of 40 girls
If 3 out of every 5 prefer chocolate over vanilla milkshakes, hen;
3girls = every 5 prefer chocolate
x = 40 girls
Cross multiply
5x = 3 * 40
5x = 120
x = 24
Hence 24 girls prefer chocolate milkshakes
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The perimeter of a rectangle is 900 yards. what are the dimensions of the rectangle if the length is 70 yards more than the width?
A company manufactured a 16-oz box of cereal. Boxes are randomly weighted to ensure the correct amount. If the discrepancy in weight is more than 0.15 oz, the production is stopped. What is the range of acceptable values for production to continue?
Answer:
The acceptable range will be : 15.85 oz to 16.15 oz
Step-by-step explanation:
Let the weight of the box be = x
As given,
If the discrepancy in weight is more than 0.15 oz, the production is stopped.
And if the discrepancy in weight is less than 0.15 oz then the production will continue.
We can express this as : If [tex]|x-16| \leq 0.15[/tex] ; the production continues
[tex]|z| \leq a[/tex] or we can say
[tex]-a\leq z\leq a[/tex]
Now, z = x-16, and a=0.15, then the value becomes,
[tex]-0.15 \leq x-16 \leq 0.15[/tex]
Solving for x:
We get the final range as :
[tex]-0.15+16 \leq x-16+16 \leq 0.15+16[/tex]
[tex]15.85\leq x \leq 16.15[/tex]
Therefore, the answer is : [tex]15.85\leq x \leq 16.15[/tex]
It should be noted that the range that's acceptable will be 15.85 oz and 16.15 oz.
How to calculate the range.From the information, the discrepancy in weight is about 0.15 oz. The lowest weight will be:
= 16 - 0.15 = 15.85 oz
The highest weight will be:
= 16 + 0.15 = 16.15 oz.
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are relations always functions
Which angles are corresponding angles?
a. ∠7 and ∠3
b. ∠8 and ∠3
c. ∠3 and ∠11
d. none of this
I need help to figure this problem out
Joann works in a publicity office at the state university. she is paid $ 13.00 $13.00 an hour for the first 35 35 hours she works each week and $ 19.50 $19.50 an hour for every hour after that. if she makes $ 650.00 $650.00 one week, how many hours did she work?
After reviewing her driving record for the past 3 years, Cindy’s insurance company offers her a good driver discount of 4.5%. Her original policy was based on the premiums listed below. What is her new annual premium including the discount?
Cindy's new annual premium including the discount would be given by: Option A: $504.24
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
The table given is:
Type of Insurance Coverage= {Coverage Limits} and {Annual Premiums}
Bodily Injury $50/100,000 $31. 75
Property Damage $25,000 $120. 50
Collision $500 deductible $275. 75
Comprehensive $100 deductible $100. 00
Her total annual premium = 31.75 + 120.50 + 275.75 + 100 = $528
Discount offered to her = 4.5% of $528 = (in dollars)
The new premium that she needs to pay after discount = Old premium - discount = $528 - $23.76 = $504.24
Therefore, Cindy's new annual premium including the discount would be given by: Option A: $504.24
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The complete question is ;
After reviewing her driving record for the past 3 years, Cindy’s insurance company offers her a good driver discount of 4. 5%. Her original policy was based on the premiums listed below. What is her new annual premium including the discount? Cindy's Auto Insurance Policy Type of Insurance Coverage Coverage Limits Annual Premiums Bodily Injury $50/100,000 $31. 75 Property Damage $25,000 $120. 50 Collision $500 deductible $275. 75 Comprehensive $100 deductible $100. 00 a. $504. 24 b. $523. 50 c. $528. 00 d. $551. 76.
Can someone please help me with #2 and 4 please thanks
PLEASE HELP:::
Louise used this figure to model the expression 20/4.
A hose fills a tank at a rate of 20 gallons per minute.
What is the rate in liters per hour?
(1 gallon ≈ 3.79 liters)
Answer:
[tex]\frac{4548}{1}[/tex] liters per hour.
Step-by-step explanation:
Given : A hose fills a tank at a rate of 20 gallons per minute.
To find : What is the rate in liters per hour?
Solution : We have given
A tank can fill hose in 1 minute = 20 gallon .
1 gallon = 3.79 liters.
20 gallon = 20 * 3.79 = 75.8 liters.
20 gallon = 75 .8 liters.
So,
A tank can fill hose in 1 minute = 75.8 liters.
A tank can fill hose in 60 minute = 75.8 * 60 liters = 4548 liters.
A tank can fill hose in 1 hour = 4548 liters.
Rate = [tex]\frac{4548}{1}[/tex] liters per hour.
Therefore, [tex]\frac{4548}{1}[/tex] liters per hour.
What is the side length of the smallest square plate on which a 30-cm chopstick can fit along a diagonal without any overhang?
Answer:
21.2
Step-by-step explanation:
math xl said so
The side length of the smallest square plate is 21.2 units.
What is the Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Given that, length of diagonal on the square is 30 cm.
Let the side of a square be x.
Now, x²+x²=30²
2x²=900
x²=450
x=√450
x=21.2 units
Therefore, the side length of the smallest square plate is 21.2 units.
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Which number is prime?
27
14
91
59
Which trinomial is a perfect square trinomial?
a2 – 8a + 64
a2 – 4a + 64
a2 – 4a + 16
a2 – 8a + 16
Final answer:
The number 59 is prime, and the trinomial a^2 - 4a + 4 is a perfect square trinomial.
Explanation:
Prime number: The number 59 is prime because it is only divisible by 1 and itself, while the other numbers have factors other than 1 and themselves.
Perfect square trinomial: The trinomial a2 - 4a + 4 is a perfect square trinomial because it can be factored to (a - 2)(a - 2), making it a square of a binomial.
You want to make five-letter codes that use the letters a, f, e, r, and m without repeating any letter. what is the probability that a randomly chosen code starts with a?0.100.150.200.25
Answer:
Option C is the right answer
Step-by-step explanation:
The probability that a randomly chosen code starts with A is 0.20
Walt is mixing friut punch for a party. He combies 1 gallon 2 quarts 3 pints of ornge juice , 1 gallon 3 quarts 7 pints of pineapple juice, and 1 gallon 3 quarts 3 pints of ginger ale. What is the total liquid measure of the punch?
A. 6 gal. 2 qt. 1 pt.
B. 6 gal. 2 qt. 2 pt.
C. 5 gal. 3 qt. 1 pt.
D. 6 gal. 3 qt. 1 pt.
round the number to the given place value
24.617 hundredths
A.24.61
B 24.62
C.24.65
D.24.67
1. Clara grew 2 1/8 inches from her ninth birthday to her tenth birthday. If she was 53 2/3 inches when she turned nine. How tall was she when she turned ten?