when writing a decimal number that is less than 1, you must apply the _________ zero rule, to clarify the decimal point is there.
The answer can be stated as, " When writing a decimal number that is less than 1, one must apply the trailing zero rule."
What is the Significant figure?Significant figures are the number of digits placed in a number that are required to indicate the measurement of a quantity with reliability.
Significant figures have following rules,
The number of zeros lying between any two numbers are significant. For example in 301 the zero between 3 and 1 are significant.
The number of zeros lying at the end of a decimal are significant. For example, in 0.300 there zeros after 3 are significant.
A decimal number can be written as in two parts.
The first part that comes before decimal is integer.
And, the second part are the equivalent part of the order of 10.
In order to write a decimal number less than one, the number before decimal is zero.
And, the numbers coming after it are the significant figures.
Thus, the trailing zeros before a digit and decimal are significant.
Hence, trailing zero rule can be applied for the given case.
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To be able to buy a new computer, Salma decides to save for 4 years. She opens a savings account with $600. The account pays simple interest at an annual rate of 5%. She doesn't make any more deposits.
Answer:
5% of 600 is 30, then you multiply the 30 by the 4 years which gives you 120. then you add the original 600 with the 5 person from the four years which is 120 that comes to 720. so 720 is how much is in salma's account after 4 years.
Annie's Pie Shop has 12 pies for sale, including 4 chocolate cream pies.
What is the probability that a randomly selected pie will be a chocolate cream pie?
Write your answer as a fraction or whole number.
The best solution gets brainlist
Answer: 1/3
Step-by-step explanation:
The probability of selecting a chocolate cream pie can be found by dividing the number of chocolate cream pies by the total number of pies:
Probability of selecting a chocolate cream pie = Number of chocolate cream pies / Total number of pies
Probability of selecting a chocolate cream pie = 4 / 12
Simplifying this fraction by dividing the numerator and denominator by 4 gives:
Probability of selecting a chocolate cream pie = 1/3
Therefore, the probability of selecting a chocolate cream pie from Annie's Pie Shop is 1/3.
What is the result of the construction shown?
A. Angle bisector
B. Copying an angle
C. Copying a line segment
D. Perpendicular bisector
Answer:
Option C: Copying an angle
Step-by-step explanation:
Angle bisector is a line through an angle that will split that angle to 2 equal angles. Thus, option A is wrong as no angle is being split.
Copying an angle involves reproducing a particular angle in another construction. The image shows us that there is an attempt to reproduce the perpendicular angle of 90°. Thus, option B is correct.
Copying a line segment involves creating the exact size of line in another construction. The image doesn't depict that. Thus option C is wrong.
Perpendicular bisector is when we draw a perpendicular line through a horizontal one to divide it into 2 equal parts. This is not the case here. Thus, option D is wrong.
HELPLSPLSPLPSLPSLPSL
Answer:
25.5
Step-by-step explanation:
first find the area od the rectangle than the triangle.
to find the area count the number of squares and use A=b*h
than do the same for the triangle using A=.5*b*h
15=3*5
10.5=.5*3*7
10.5+15=25.5
1. Write the distance from the Sun to Mercury in scientific notation. Include units with your answer.
NEED HELP ASAP WILL GIVE BRAINLIST TO BEST AWNSER
Answer:
3.456 × 10^11
Step-by-step explanation:
= 3.456 × 10^11
scientific notation
= 3.456e11
scientific e notation
= 345.6 × 10^9
engineering notation
billion; prefix giga- (G)
= 3.456 × 10^11
standard form
11
Order of Magnitude
for scientific and standard forms
= 345600000000
(real number)
= three hundred forty-five billion six hundred million
word form
I hope this helps!! :D
SOMEONE PLEASEEEEEE HELPPPPP ASAPPPP I NEED THE ANSWER
Answer:
34° is the closest to the record high in degree Fahrenheit ⇒ C
Step-by-step explanation:
∵ The formula F = \(\frac{9}{5}\) C + 32 is used to convert the temperature from
degrees Celsius (C) to degree Fahrenheit (F)
∵ The high temperature in Chicago is 1° Celsius
→ Substitute C in the formula above by 1
∴ F = \(\frac{9}{5}\) (1) + 32
∴ F = \(\frac{9}{5}\) + 32
∴ F = 33.8°
→ Round it to the nearest degree Fahrenheit
∴ F ≅ 34°
∴ 34° is the closest to the record high in degree Fahrenheit
pls help
Which of the following is in order from largest to smallest?
-1, |-2|, |7|, 9
9, |7|, |-2|, -1
9, |7|, -1, |-2|
|-2|, -1, |7|, 9
Answer:
Step-by-step explanation:
D think is your answer
rectangle ABCD is translated 5 units to the right. What is the length of the line segment B'C'?
The length of the line segment B'C' is 3 units.
We can see that from the given graph that,
The coordinates of the points are:
B = (-2, 6)
C = (-2, 3)
If we translate the points 5 units to the right then the changed coordinates will be -
B' = (-2 + 5, 6) = (3, 6)
C' = (-2 + 5, 3) = (3, 3)
So the length of the B'C' is given by,
B'C' = √((3 - 3)² + (6 - 3)²) = √(0² + 3²) = √(0 + 9) = √9 = 3 units.
Hence the length of the line segment B'C' is 3 units.
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5xy-3z when x = -2,y=-3,z=-9
Answer: 57
Step-by-step explanation:
a sticker shaped like a rectangle has an area of 56 square centimeters. it has a width of 7 centimeters.how long is the sticker?enter your answer in the box.
The length of the rectangle shaped sticker of stated dimensions is 8 centimetres.
Rectangle is the four shaped structure with two parallel sides. The area of rectangle is given by the formula -
Area of rectangle = length of the rectangle × breadth of the rectangle
Keep the values in formula to find the value of length of rectangle
56 = length × 7
Rewriting the equation in terms of length to find its value
Length = 56/7
Performing division on Right Hand Side of the equation
Length = 8 cm
Hence, the length of rectangle is 8 centimetres.
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A milk truck has a diameter of 10 and feet and a height of 50 feet. How much milk can the truck hold?
Answer:
1250(pi) ft^3
or
3926.99 ft^3
Step-by-step explanation:
\((\pi {5}^{2} ) \times 50\)
you have to put feet cubed at the end for units
(q12) Find the volume of the solid obtained by rotating the region under the curve
over the interval [4, 7] that will be rotated about the x-axis
To find the volume of the solid obtained by rotating the region under the curve over the interval [4, 7] about the x-axis, we can use the method of cylindrical shells.
The formula for the volume of a solid generated by rotating a curve f(x) about the x-axis, over an interval [a, b], is given by:
V = ∫[a, b] 2πx * f(x) * dx
In this case, the interval is [4, 7], so we need to evaluate the integral:
V = ∫[4, 7] 2πx * f(x) * dx
To find the function f(x), we need the equation of the curve. Unfortunately, you haven't provided the equation of the curve. If you can provide the equation of the curve, I will be able to help you further by calculating the integral and finding the volume.
Please provide the equation of the curve so that I can assist you in finding the volume of the solid.
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I need help with this question
Can you pls do this i can't do it, it's a little hard and due before 4:00 pm ( Will mark brainliest if 2 answers and 95 pts if you can do it pls and thank you!!)
Answer:
128.75
Step-by-step explanation:
Answer: 128.75
Step-by-step explanation: you do 30% of 168.74 which is 50.62 then subtract it from 168.74 which is 118.12 then get 9% of 118.12 and add it to the 118.12 and that is 128.75
What are the measures of the angles of a right angle isosceles triangle?
If one angle in an isosceles triangle is 90 degrees then the measure of each angle of an isosceles triangle will be 45 degrees
What is an isosceles triangle ?
A triangle with two equal sides is said to be isosceles. Also equal are the two angles that face the two equal sides. In other terms, an isosceles triangle is a triangle with two sides that have the same length.
If the sides AB and AC of a triangle ABC are equal, then the triangle ABC is an isosceles triangle with B = C. "If the two sides of a triangle are congruent, then the angle opposite to them is likewise congruent," states the theorem that characterizes the isosceles triangle.
Since this triangle's two sides are equal, the base of the triangle is the side that is not equal.
The triangle's two equal sides' opposing angles are always equal.The vertex (topmost point) of an isosceles triangle is where the height of the triangle is calculated.The third angle of a right isosceles triangle is 90 degrees.As we know that in an isosceles triangle set of two angles are equal
And
we also know that sum of all the angles of a triangle is 180 degrees
So, According to the question
90 degrees + other angles =180 degrees
other angles = 90 degrees
one angle = 90/2
one angle = 45 degree
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The total amount of sap y (in ounces) collected from a tree after * weeks is represented by the equation y = 3x + 8 . How much more total sap is there after 4 weeks than after 2 weeks?
At \(4\) weeks, there is \(7ounce\) more total sap present than after \(2\) weeks.
What distinguishes "weeks" from "week's"?The apostrophe is utilized prior to the letter "s" if it is one time measurement, as in "week's". Apostrophes are placed after the letter "s" if there are many time units involved, such as weeks.
Why is a week named that?A week is a span of seven days that was created artificially and without reference to the stars. The biblical narrative of the Creation, which states that God worked for six days before taking a day of rest on the seventh, and the ancient Israelites are widely credited with giving rise to the concept of the week.
Here, \(x=4\) and \(x=2\) is given
When \(x=4\), we get
\(y=3(4)+8\)
\(= 20\)
When \(x=2\), we get
\(y=3(2)+8\)
\(= 14\)
Difference \(=20-14=7\) ounce
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A baker uses 2 cups of vanilla to make 24 donut. how many ounces vanilla are there per donut?
What is the domain of this quadratic function?
The graph goes on forever in both directions along the x axis. This indicates any x value can be plugged into the quadratic to get some y output. There are no restrictions. The domain is the set of all possible x inputs of a function.
use the volume formula to find the volume of the prism
Answer:
c 25 cubic unit
Step-by-step explanation:
2 1/2=5/2
v=length *width *height
(5/2)*4*(5/2)=25
It would be 25 cubic squares
quiz verified
Solve the absolute value inequality: [X + 12[ +5 <27
Isolate the absolute value by subtracting 5 from both sides.
18+71<27
18+71<22
|x + 12[ < 22
|x + 121 > 22
Answer:
Option C.
Step-by-step explanation:
The given absolute value inequality is
\(|x+12|+5<27\)
Isolate the absolute value by subtracting 5 from both sides.
\(|x+12|+5-5<27-5\)
\(|x+12|+0<22\)
\(|x+12|<22\)
Therefore, the correct option is C.
We can further solve this, to find the solution of the given inequality.
\(-22<x+12<22\)
Subtract 12 from each sides.
\(-22-12<x+12-12<22-12\)
\(-34<x<10\)
The solution of given inequality is \(-34<x<10\).
- Caramel apples cost $2. There is a 50¢ charge
for nuts or chips. Tori wants a caramel apple
with nuts. Chelsea wants both nuts and chips
on her apple. Max wants his caramel apple
plain. How much will the three apples cost?
A car insurance company is interested in modeling losses from claims coming from a certain class of policy holders for the purposes of pricing and reserving. The policy has a deductible of $500 per claim, up to which the policy holder must pay all costs, and after which the insurance company will pay all additional costs associated with the claim. The insurance company also purchases reinsurance to assist in paying out large claims, which will pay any costs to the insurance company in excess of $15,000. To help with interpreting this policy, some examples of how different-sized claims would be payed out are shown below. Assume the losses for claims on this policy follow an exponential distribution with a mean of $3000 (note: this corresponds with a rate parameter A=1/3000). Example claims: i) A claim carries a loss of $353 dollars. The policy holder must pay the entire $353 associated with the claim, since the cost is less than the deductible for the policy. ii) A claim carries a loss of $2567 dollars. The policy holder pays the deductible of $500, and the insurance company pays the remaining $2067. iii) A claim carries a loss of $32,000 dollars. The policy holder pays the deductible of $500, the insurance company pays $15,000, then reinsurance covers the remaining $16,500. find the probability that the insurance company needs to pay on a claim they receive (i.e. find the probability that the cost of a claim exceeds the deductible of $500)
The probability that the insurance company needs to pay on a claim they receive, i.e., the cost of a claim exceeds the deductible of $500, is approximately 83.33%.
In this scenario, the losses from claims on the policy are assumed to follow an exponential distribution with a mean of $3000. The exponential distribution is commonly used to model continuous random variables with a constant hazard rate. In this case, the hazard rate is determined by the mean of $3000.
To find the probability that the cost of a claim exceeds the $500 deductible, we need to calculate the cumulative probability of the exponential distribution beyond the deductible amount. Since the exponential distribution is memoryless, we can consider the deductible as a starting point and calculate the probability of the claim exceeding that amount.
Using the exponential distribution's probability density function (PDF), we can determine the probability of a claim exceeding the deductible. The PDF for an exponential distribution with rate parameter A is given by f(x) = A * exp(-A * x), where x is the claim amount.
Integrating the PDF from the deductible amount ($500) to infinity will give us the probability that the cost of a claim exceeds the deductible. However, in this case, we can simplify the calculation since we know the mean of the exponential distribution is $3000. The probability of a claim exceeding the deductible can be approximated as the ratio of the mean loss exceeding the deductible to the mean loss overall, which is (3000 - 500) / 3000 = 0.8333 or 83.33%.
Therefore, the probability that the insurance company needs to pay on a claim they receive, i.e., the cost of a claim exceeds the deductible of $500, is approximately 83.33%.
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Help this bestie plz...
Step-by-step explanation:
THE Coordinates of C will be » C = (4, 6)Answer:
C=(4,6)
HAVE A BEAUTIFUL DAY
6. In a basketball fundraiser, Jasmine can makes 10 free throws per minute. She is sponsored for
$16.25 for each free throw she makes. Draw a graph to show how much money she would earn over
the five minutes of the shootathon.
a) How much did Jasmine raise during the shootathon?
Answer:
Step-by-step explanation:
She raised $812.5 during the shootathon. (graph is attached)
What is unit rate?A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
Given that, In a basketball fundraiser, Jasmine can make 10 free throws per minute. She is sponsored for $16.25 for each free throw she makes.
Since, she is making $16.25 in one minute,
And there are 10 free throws in 1 minute,
Therefore, her earning in minute = $16.25×1×10 = $162.5
Therefore, her earning in 5 minutes = $162.5×5 = $812.5
Hence, She raised $812.5 during the shootathon.
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Which expression gives the area of the triangle shown below?
The area of the triangle is 7.5 square cm.
To determine the area of the triangle shown in the diagram below, we can use the formula:
Area of a triangle = 1/2(base x height)
Where base is the length of the bottom side of the triangle and height is the length of the line perpendicular to the base and passing through the top vertex of the triangle.
Given the triangle shown below:
Therefore, we can see that the length of the base of the triangle is 5 cm and the length of the height of the triangle is 3 cm.
Therefore, the expression that gives the area of the triangle shown below can be written as:
Area of triangle = (1/2) * (base x height)
Using the specified values, the calculation is:
Area of triangle = (1/2) * (5cm * 3cm) )
= 15/2 square centimeters
= 7.5 square centimeters.
Area of triangle = 1/2(base x height)
= 1/2(5 cm x 3 cm)
= 15/2 square cm
= 7.5 square cm.
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We are used to that our days are divided into 24 hours, our hours are divided into 60 minutes, and our minutes are divided into 60 seconds. If our days were divided into 10 hours (with no need for a.m. and p.m.), the new hours into 100 minutes, and the new minutes into 100 seconds, what new time would it be at 6 p.m. a: 5:00 b: 7:00 c: 9:00 d: 7:50
Answer:
d) 7:50
Step-by-step explanation:
6pm is 18/24
18/24 = 3/4
3/4 of 10 = 7.5
The time represented by a 10-hour day format at 6 pm n the 24-hour day format is 7.5 hours, the correct option is D.
What is a Fraction?Fraction is the part of the whole, It is represented in the form of p/q, where q is not equal to zero.
The days are divided into hours, minutes, and seconds
The 6 pm time represents 18 hours
The total time is 24 hours so
6 pm represents an 18/24 portion of the day
= 3/4 th portion of the day is 6 om.
For a 10 hours day
3/4 th portion is 3*10 /4 = 7.5 hours
Therefore, the time represented by a 10-hour day format at 6 pm n the 24-hour day format is 7.5 hours.
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will give brainiest + 40 points
Which graph represents the function p(x) = |x – 1|?
Answer:
I think it's the second I e at the top
Solve this problem for 100 points
The graph of each function in the piecewise function is added as an attachment
How to determine the plot of the piecewise function?The equation of the piecewise function is given as
f(n) = n/2 if n is even
3n + 1 if n is odd
In the above definition of the piecewise function, we have the following functions and the domains
f(n) = n/2 at a domain of even numbersf(n) = 3n + 1 at a domain of even numbersNote that:
The domain of the function is the set of input values of the graph
This in other words mean the domain of a function is the set of x values of the graph.
Next, we plot the graph of each function in the piecewise function in their respective domain
See attachment for the graph of each function in the piecewise function,
On the graph, the blue line represents f(n) = n/2 while the other line represents f(n) = 3n + 1
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The volume of a cone is 37xcubic units and its height is x units.
Which expression represents the radius of the cone's base, in units?
O 3x
O 6x
ОЗлх2
O 9x2
Answer:
3x
Step-by-step explanation:
34x^3=r^2×3,14×X/3
×3 34x^3= r^2×3,14×X/3 ×3
102x^3=r^2×9.42×X
÷9.42×X ÷9.42×X
10.83x^2=r^2
√10.83x^2= √r^2
3x=r