The number 3.18 can be written as a rational number, specifically 318/100. In other words, 3.18 can be expressed as the rational number 318/100.
To convert a decimal number to a rational number, follow these steps:
Step 1: Write down the decimal number as the numerator of the fraction.
Step 2: Determine the denominator by using the appropriate power of 10. In this case, since 3.18 has two decimal places, the denominator is 100.
Step 3: Simplify the fraction if possible. In this case, 318/100 can be simplified by dividing both the numerator and denominator by 2:
318/100 = 159/50
Therefore, 3.18 can be expressed as the rational number 318/100.
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Calculate the total
8/10+82/100
Answer:
81/50
Step-by-step explanation:
=8/10+82/100
=8/10+41/50
=40+41/50
=81/50
1) 3n² + 5n +7
A) quadratic monomial
B) cubic binomial
C) constant trinomial
D) quadratic trinomial
Answer:
D
Step-by-step explanation:
it is a quadratic trinomial
Can Anyone Help Me? I have 2 different questions!!
Question #1 - Write a two-column proof for the following information. Upload your proof below. Given: M is the midpoint of CD; MD = 3 Prove: CM = 3
Question #2 - Write a two-column proof for the following information. Upload your proof below.
Given M is the midpoint of CD; CM = 5x - 2; MD = 3x + 2 Prove: x = 2
The value of the variable 'x' for the given midpoint of line segment CD is found as 2.
Explain about the term midpoint?Geometry. the location on a line segment or arc that is equally distanced from both endpoints when assessed along the line or arc.The midpoint is merely the average of both of the numbers whenever we're given two numbers. We add them up to find the midpoint, then divide the total by two.The given values:
CM = 5x - 2;
MD = 3x + 2
M is the midpoint of CD;
Then,
CM = MD
5x - 2 = 3x + 2
Simplifying:
5x - 3x = 2 + 2
2x = 4
x = 2
Thus, the value of the variable 'x' for the given midpoint of line segment CD is found as 2.
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The correct question is-
Write a two-column proof for the following information. Upload your proof below.
Given M is the midpoint of CD; CM = 5x - 2; MD = 3x + 2 Prove: x = 2
Which equation describes the nth term of the
arithmetic sequence -12,-14, -16,-18,...?
a.An=-2n-10
b.An-12-2n
c.An=10n-2
d.An=-2n+10
PLS HELL
Jordan's raise last year was 3 percent of her salary, but inflation numbers released yesterday indicated that inflation was 3 percent last year. How much did Jordan's purchasing power increase?
Since the inflation was exactly increased to the same percentage as the salary increase of Jordan, the increase in his purchasing power is zero.
What is inflation?Inflation is a sustained increase in the general price level of goods and services in an economy over a period of time. When the general price level rises, each unit of currency buys fewer goods and services; consequently, inflation reflects a reduction in the purchasing power of money.
If the pay raise is not above the percentage of the inflation then there would be no net increase in the purchasing power.
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A bookstore had 60 copies of a magazine. Yesterday, it sold 1/3 of them. Today, it sold 1/4 of what remained. How many copies does the bookstore have left?
Answer:
30
Step-by-step explanation:
1/3 of 60 is 20
40 would be left
1/4 of 40 is 10 so 30 would be left
What is a counter example for the conjecture?
Answer:
1 and 4
Step-by-step explanation:
it's a counterexample since the product, 4 is less than the sum, 5, proving the conjecture false.
the largest perfect square number that is a factor of 75 is?
the largest perfect square number that is a factor of 32 is?
the largest perfect square number that is a factor of 68 is?
Answer:
Step-by-step explanation:
75 = 3 x 25 = 3 x 5²
32 = 2 x 16 = 2 x 4²
68 = 4 x 17 = 2² x 17
So
the largest perfect square number that is a factor of 75 is 25
the largest perfect square number that is a factor of 32 is 16
the largest perfect square number that is a factor of 68 is 4
One of the non-right angles of a right triangle has a
measure 20º more than twice the measure of the other
non-right angle. Find the measures of the angles of the
right triangle.
Answer:
Step-by-step explanation:
one angle is 50
A sample of 36 observations is selected from a normal population. The sample mean is 49, and the population standard deviation is 5. Conduct the following test of hypothesis using the .05 significance level.
H0: ? = 50
H1: ? = 50
What is the value of the test statistic?
What is the p-value?
A recent national survey found that high school students watched an average (mean) of 6.5 DVDs per month with a population standard deviation of 0.60 hour. The distribution of DVDs watched per month follows the normal distribution. A random sample of 33 college students revealed that the mean number of DVDs watched last month was 5.80. At the 0.05 significance level, can we conclude that college students watch fewer DVDs a month than high school students?
What is the p-value?
Answer:
A) p = 0.230139
B) p = 0 .00001
There is not enough evidence to show that fewer DVDs a month than high school students
Step-by-step explanation:
A) The correct hypothesis are;
Null hypothesis;H0: μ = 50
Alternative hypothesis;H1: μ ≠ 50
We are given;
Sample mean; x' = 49
Standard deviation; σ = 5
Sample size;n = 36
Formula for the test statistic is given by;
z = (x' - μ)/(σ/√n)
z = (49 - 50)/(5/√36)
z = -1.2
So, from online p-value calculator from z-values as attached, using z-score of -1.2, significance level of 0.05, two tailed, we have;
p = 0.230139
B) we are given ;
x = 5.80
μ = 6.5
n = 33
Standard deviation;σ = 0.6
Significance level = 0.05
Hypotheses are;
Null hypothesis;H0: μ = 6.5
Alternative hypothesis; μ < 6.5
So, formula for the test statistic again;
z = (x' - μ)/(σ/√n)
z = (5.8 - 6.5)/(0.6/√33)
z = -6.7
from online p-value calculator z-values as attached, using z-score of -6.7, significance level of 0.05, one tailed tailed, we have;
p = 0 .00001
This is less than the significance level of 0.05, thus we will reject the null hypothesis and conclude that there is no evidence to show that fewer DVDs a month than high school students
If the switches at 2, 3, 4, and 5 are independently closed or open with probabilities 0.1 (for closed) and 0.9 (for open), what is the probability of a closed path between the input line on the left and the output line on the right
Complete Question
The Complete Question is attached below
Answer:
\(P(X)=0.0163\)
Step-by-step explanation:
From the question we are told that
Probability of open \(P(x)O=0.9\)
Probability of open \(P(x)C=0.1\)
Generally the equation for Probability of a closed path between the input line on the left and the output line on the right is mathematically given by
\(P(X)=(P(3\&5)C*P(2\&4)C)+(P(2\&4)O+P(2\&4)C*P(1\&3)O)+(P(1\&3)C-P(3\&5)C*P(2\&4)C)\)
\(P(X)= 0.1*0.1*(0.1*0.1+0.9*0.9 ) + 0.1*0.1*(0.9*0.9 + 0.1*0.1) - 0.1*0.1*0.1*0.1\)
\(P(X)=0.0163\)
Solve the inequality 6≥ x2.2 . Then complete the solution using the correct symbol below.
tell me how to give brainliest and I will
x≤3 is the solution of the inequality 6≥ 2x.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
The given inequality is 6≥ 2x.
Six greater than or equal to two times of x.
We have to solve for x.
To do this we have to divide both sides by 2.
6/2≥ 2x/2.
3≥ x
Which means x≤3.
Hence, x≤3 is the solution of the inequality 6≥ 2x.
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What’s the answer (no link I give brainly)
Answer:
I belive it is C
Step-by-step explanation:
Graphs of a function and its inverse are shown on the same coordinate grid.
Which statements accurately compare the function and its inverse? Check all that apply.
The domains of the two functions extend to positive infinity.
The ranges of the two functions are all real numbers.
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Neither function has a minimum.
The correct statements are;
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Option C and D
How to determine the correct statementsTo accurately compare a function and its inverse based on the graphs, we have to know the following;
The domains of the two functions extend to positive infinity if the domain of the inverse function is equivalent to the range of the original function.The ranges of the two functions are all real numbers if the graphs cover the entire y-axis without any gaps or discontinuities.If the graphs intersect at the point (a, b), it means that f(a) = b and f^(-1)(b) = a, indicating that the functions are inverses of each other.
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The volume of this rectangular prism is 160 cubic yards. What is the surface area?
10 yd
surface area =
Submit
0
4 yd
square yards
4
Answer: The surface area of the rectangular prism is approximately 4 square yards.
Step-by-step explanation: Given that the volume of the rectangular prism is 160 cubic yards, we can find the dimensions of the prism using the formula:
V = lwh
where V is the volume, l is the length, w is the width, and h is the height.
So, we have:
160 = lwh
Now, we need to find two other measurements in order to calculate the surface area of the rectangular prism. However, we do not have enough information to find all three dimensions. Therefore, we will assume one dimension and find the other two.
Let's assume that the height of the rectangular prism is 10 yards. Then, we can rearrange the formula for the volume to solve for the product of the length and width:
lw = V/h = 160/10 = 16
Now, we have two equations:
lw = 16
wh = 160/10 = 16
Solving for w in the first equation, we get:
w = 16/l
Substituting this expression for w in the second equation, we get:
l(16/l)h = 16
Simplifying, we get:
h = 1
Therefore, the dimensions of the rectangular prism are:
length = l
width = 16/l
height = 10
Now, we can calculate the surface area of the rectangular prism using the formula:
SA = 2lw + 2lh + 2wh
Substituting the values we found, we get:
SA = 2(l(16/l)) + 2(l(10)) + 2((16/l)(10))
SA = 32/l + 20l + 160/l
To find the minimum value of this expression, we can take its derivative with respect to l and set it equal to zero:
dSA/dl = -32/l^2 + 20 + (-160/l^2)
0 = -32/l^2 + 20 - 160/l^2
52/l^2 = 20
l^2 = 52/20
l ≈ 1.44
Substituting this value of l back into the expression for SA, we get:
SA ≈ 4 square yards
Therefore, the surface area of the rectangular prism is approximately 4 square yards.
Plz help will make brainliest
Answer: A or B is the correct answer i need brainlist so
Step-by-step explanation:
Hope watches a movie Friday night that was two and one-half hours long. On Saturday, she watched a documentary half as long as Friday’s movie. How long was the documentary?
Answer:
1 hour and 15 minutes thats how long the documentary was
Movie friday night was 2 hours and 30 minutes long.
The documentary was half as long as Friday's movie.
So it will be: \(\frac{2 hours .and. 30 minutes}{2} = 1 hour.and .15 minutes\)
The distance between Marisa's house and the post office is 720 m. If she walks from her house to the post office at an average speed of 80 m/min, how long will she take?
Okay, let's break this down step-by-step:
* The distance between Marisa's house and the post office is 720 m
* Marisa walks at an average speed of 80 m/min
* To calculate the time:
** Distance / Speed = Time
** 720 m / 80 m/min = 9 minutes
Therefore, if the distance is 720 m and Marisa's average walking speed is 80 m/min, it will take her 9 minutes to walk from her house to the post office.
If f(x) = 6x - 4, what is f(x) when x = 8?
2.
16
044
52
Answer:
44
Step-by-step explanation:
f(x) = 6x - 4
f(8) = 6(8) - 4
f(8) = 48 - 4
f(8)= 44
what is the nth term in a cube number sequence
Answer:
cube numbers: 1, 8, 27, 64, 125, ... - the nth term is. triangular numbers: 1, 3, 6, 10, 15, ... (these numbers can be represented as a triangle of dots).Step-by-step explanation:
IF IT HELPED UH PLEASE MARK ME A BRAINLIEST :-)Rewrite in simplest terms: -2(3g-8g+8)-9g−2(3g−8g+8)−9g
Answer: 2g - 32
Step-by-step explanation:
-2 (3g - 8g + 8) - 9g - 2 (3g - 8g + 8) - 9g
First step is to use the distributive property to distribute 2.
The expression is now:
-6g + 16g - 16 - 9g - 6g + 16g - 16 - 9g
Now you put the like terms together..
-6g + 16g - 9g - 6g + 16g - 9g -16 - 16
All that is left to do is combine them!
(-6g + 16g - 9g - 6g + 16g - 9g) + (-16 - 16)
2g + (-32)
2g - 32
Hope that helped!
for what natural values of n are the value of the following expression equal to a natural number: n+6/n
Answer:
n=1, n=2, n=3, n=6
Step-by-step explanation:
Natural #=1, 2, 3, ...
6 is the largest natural number possible here
1, 2, 3, 6 are factors of 6
n is equal to all factors of 6.
AN = 16CM; AC = 18CM & CN = (4X -6) CM. Find the value of X
Answer:
x = 6
Step-by-step explanation:
Since <A is congruent to <N, they are both an isosceles base angles. ∆CAN is an isosceles ∆.
Therefore, one of the properties of an isosceles ∆ is that two sides are equal, aside the base of the isosceles. This implies that: CN = AC
AC = 18cm
CN = (4x - 6)cm, therefore, we can generate an equation for solve for x as follows,
4x - 6 = 18 (two sides of an isosceles ∆ are congruent)
Add 6 to each side of the equation.
4x - 6 + 6 = 18 + 6
4x = 24
Divide both sides by 4
4x = 24/4
x = 6
a
39. Algebra A rectangle has a base of x units. The area is (4x2-2x)
square units. What is the height of the rectangle in terms of x?
A (4 - x) units
(x-2) units
B (4x3 - 2x2) units
D (4x - 2) units
-
-
The area of the rectangle is the product of its base and height
The height of the rectangle is 4x - 2 units
How to determine the height?The given parameters are:
Area = 4x^2 - 2x
Base = x
The area of the rectangle is:
Area = Base * Height
This gives
4x^2 - 2x = x * Height
Divide through by x
4x - 2 = Height
Rewrite as:
Height = 4x - 2
Hence, the height of the rectangle is 4x - 2 units
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-5, 4, -26, -48, 12 least to greatest
Answer:
hey!
Your answer is ...
-48 , -26 , -5 , 4 , `12
Step-by-step explanation:
HOPE THIS HELPED!
:)
Zelda went to the grocery store and
purchased a box of cereal for $3.25, milk
for $1.25, and bread for $2.25. She paid
with a $10.00 bill. How much change did
Zelda receive?
If you drew a line segment from the point when Kiley’s plane took off to the point when she got off the plane, at which point would the line segment end?
690
Step-by-step explanation:
Allison designs fancy boxes to fill with chocolates. The boxes are in the shape of a right square pyramid as shown, where 8y represents the
length of one side of the base of the pyramid, and 5y represents the height of one triangular face of the pyramid.
8y
The large size box must be designed to have a volume of 1,000 cubic centimeters,
Create an equation that can be used to calculate the length of the base and height of the triangular face of the box. Enter your equation in
the first response box.
The requreid equation that can be used to calculate the length of the base and height of the triangular face of the box is:
8y ≈ 8.4 cm
5y ≈ 5.8 cm
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
The formula for the volume of a square pyramid is:
V = (1/3) * base area * height
In this case, the base of the pyramid is a square with a side length of 8y, so the base area is:
base area = (8y)² = 64y²
The height of each triangular face is given as 5y, so the total height of the pyramid is 2 * 5y = 10y.
Substituting these values into the formula for volume, we get:
1000 = (1/3) * 64y² * 10y
y ≈ 1.16
Therefore, the length of the base of the pyramid is:
8y ≈ 8.4
And the height of each triangular face is:
5y ≈ 5.8 cm
So the equation that can be used to calculate the length of the base and height of the triangular face of the box is:
8y ≈ 8.4 cm
5y ≈ 5.8 cm
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The government of Japan between World War I and World War II can best
be described as *
democratic
communist
militaristic
Nazi
Answer:
I believe communist just because or there influences in world war I and world war II they were on the communist side and part of the USSR at the time
What two names can be used to describe this triangle?
Use the drop-down menus to classify the triangle based on its side lengths and
angle measures
The Triangle is Equilateral and Equiangular.
We will use theses property of Equilateral Triangle as
All three sides of an equilateral triangle have the same length.Each interior angle of an equilateral triangle measures 60 degreesWe have a Triangle.
The Triangle all three angles measured 60 degree each.
and, We know the equilateral Triangle all angles measures 60 degree.
Now, from the figure all the three sides of triangle are equal.
and, we know Equilateral triangle have the three sides equal
Thus, the Triangle is Equilateral and Equiangular.
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