Answer:
$50.00 is the discount price
Is 46 ounces greater than 2 pounds? Pls help
Answer:
yes
Step-by-step explanation:
yes because 46 ounces is equal to 2.9 pounds
Answer: Yes
Step-by-step explanation:
Im correct because, 1 pound equals 16 ounces. So to find how much 2 pounds is we just have to multiply 16 by 2. 16 times 2 equals 32 ounces and 46 ounces is more then 32 ounces, so it is greater.
Hope This Helps!
HELP 50 POINTS THANKS
Hence, the number of wolves in the state on January \(1\) and the equation is \(w-23=84\).
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given that,
A zoologist is recording the loss of wolves in her state. She notes the number of wolves, \(w\) in the state of January \(1\).
One year later, there were \(84\) wolves in the state, which is \(23\) fewer wolves than were in the state a year earlier.
So as per this equation \(w-23=84\) is correct.
Hence, the number of wolves in the state on January \(1\) and the equation is \(w-23=84\).
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Please help
Convert 200 cm to cm
Answer:
to cm it's still 200 if you mean to metre 2m
Step-by-step explanation:
Answer:
It would still be 200
Step-by-step explanation:
Theconcentration ofiron in a watersample is 500parts per million.Write thisconcentration asa fraction in yourjournal.
500ppm = 0.05%
Now, express the percentage as a fraction:
0.05/100 = 1/2000
Therefore:
\(500\text{ppm}=\frac{1}{2000}\)An airport limo service charges riders a fixed charge of $15 plus
$4.00 per mile. How many miles must a rider go to have an
average cost per mile of $4.60?
Given:
An airport limo service charges riders a fixed charge of $15 plus $4.00 per mile.
To find:
Distance in miles must a rider go to have an average cost per mile of $4.60.
Solution:
Let x be the number of miles the rider travel.
Total charges = Fixed charges + Variable charges
According to the question,
Fixed charges = $15
Variable charges = $4x
So, total charges
\(T=15+4x\)
Divide the total charges by number of miles to get the cost per mile.
\(\text{Cost per mile}=\dfrac{15+4x}{x}\)
Average cost per mile is $4.60.
\(4.60=\dfrac{15+4x}{x}\)
\(4.60x=15+4x\)
\(4.60x-4x=15\)
\(0.60x=15\)
Divide both sides by 0.60.
\(x=\dfrac{15}{0.60}\)
\(x=25\)
Therefore, the required number of miles is 25.
'Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 12 feet and a height of 14 feet. Container B has a diameter of 10 feet and a height of 20 feet. Container A is full of water and the water is pumped into Container B until Container B is completely full.To the nearest tenth, what is the percent of Container A that is full after the pumping
The nearest tenth, approximately 93.5% of Container A is full after the water is pumped into Container B.
To determine the percentage of Container A that is full after the water is pumped into Container B, we need to compare the volumes of the two containers.
The volume of a cylinder can be calculated using the formula: V = πr^2h, where V is the volume, π is a constant (approximately 3.14159), r is the radius, and h is the height.
For Container A:
Radius (r) = Diameter / 2 = 12 ft / 2 = 6 ft
Height (h) = 14 ft
For Container B:
Radius (r) = Diameter / 2 = 10 ft / 2 = 5 ft
Height (h) = 20 ft
Now, let's calculate the volumes of the two containers:
Volume of Container A = π * (6 ft)^2 * 14 ft ≈ 1,679.65 ft^3
Volume of Container B = π * (5 ft)^2 * 20 ft ≈ 1,570.8 ft^3
To find the percentage of Container A that is full, we need to calculate the ratio of the volume of water in Container B to the volume of Container A:
Ratio = Volume of Container B / Volume of Container A
Ratio = 1,570.8 ft^3 / 1,679.65 ft^3 ≈ 0.9347
Finally, to convert this ratio to a percentage, we multiply it by 100:
Percentage = Ratio * 100
Percentage ≈ 0.9347 * 100 ≈ 93.5%
Therefore, to the nearest tenth, approximately 93.5% of Container A is full after the water is pumped into Container B.
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Therefore, P(K|J) is equal to 1/5 in its simplest form.
What is fraction?
A fraction is a mathematical expression that represents a part of a whole. It is written in the form of one integer (the numerator) divided by another integer (the denominator), separated by a horizontal line. For example, the fraction 2/5 represents two parts out of a total of five parts.
The numerator represents the number of parts we are interested in, while the denominator represents the total number of equal parts that make up the whole. Fractions can be proper (the numerator is less than the denominator), improper (the numerator is greater than or equal to the denominator), or mixed (a whole number and a fraction together). Fractions are used in a wide range of mathematical operations, such as addition, subtraction, multiplication, and division.
by the question.
We can use the formula P(B/A) = P(B∩A)/P(A) to calculate P(KJ), where A is the event that J occurs, and B is the event that K and J occur.
First, we need to find P(K|J∩N). We can use the formula P(JNK) = P(KJ∩N)/P(J) to find this value.
\(P(K|J∩N) = P(JNK) * P(J) = (1/5) * (3/7) = 3/35\)
Next, we need to find P(J) = 3/7.
Finally, we can use the formula P(K|J) = P(K|J∩N)/P(J) to find P(KJ):
\(P(K|J) = P(KJ∩N)/P(J) = (3/35) / (3/7) = (3/35) * (7/3) = 1/5\)
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AC is 9.1 centimeters and BC is 4.2 centimeters. Find AB
Answer:
AB = 4.9cm
Step-by-step explanation:
We know
AC is 9.1 centimeters, and BC is 4.2 centimeters.
Find AB
We take
9.1 - 4.2 = 4.9cm
So, AB = 4.9cm
Find an expression which represents the sum of (10x – 8y) and (6x + 6y) in simplest terms
Problem:
Find an expression that represents the sum of (10x – 8y) and (6x + 6y) in simplest terms.
Solution:
Let the following polynomial :
\(\mleft(10x-8y\mright)+(6x+6y)\)Putting together the similar terms, we obtain:
\((10x\text{ + 6x)+(-8y+6y)}\)Adding the similar terms, we obtain that this is equivalent to:
\(16x\text{ -2y}\)We conclude that an expression that represents the sum of (10x – 8y) and (6x + 6y) in simplest terms is:
\(16x\text{ -2y}\)
please help me with this :)))
Answer:
C, 33 1/3%
Step-by-step explanation:
Because there are only two even number that follow this rule: 2<x≥6, and since there are only 6 possible outcomes, the probabilty is 2/6, which is 1/3. In a percent form, this is 100%*2/3, or 33 1/3%.
find the GCF of 15 and 35
Answer: The answer is 5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
GCF means greatest common factor (a number that multiplies to another number)
5 is the greatest between 15 and 35
6x-5=6x-5 pls help fast
Answer:
0=0
Step-by-step explanation:
Answer: Infinite Solutions
Step-by-step explanation:
Hello! Let's solve this equation.
\(\textbf{First, add 5 to both sides.}\)\(\sf{6x-5=6x-5}\)
↓
\(\sf{6x=6x-5+5}\)
↓
\(\sf{6x=6x}\)
\(\textbf{Next, subtract 6x from both sides.}\)\(\sf{6x-6x}\)
↓
\(\sf{0}\)
\(\textbf{So as you see, all the terms \textit{cancel out.}}\\\textbf{The \textsf{given equation} has \textit{\underline{infinite solutions.}}}\\\textbf{The equation is true for any x-value.}\)
\(_ < \!\!\!\rule{300}{1}\!\!\!_ >\)
Convert to standard form: 1.12 x 10^4 *
Answer:
11,200
Step-by-step explanation:
1.12 x 10^4
to write in standard, we must move the decimal 4 places right
1.12 > 11.2 > 112.0 > 1120.0 > 11,200
Answer: 11200
Step-by-step explanation:
1.12 * 10^4
= 1.12 * 10000
= 11200
These shapes are similar.
Find X.
5
X
5
30
24
30
The value of x is 4.
To determine the value of x, we can use the concept of similarity between shapes.
Similar shapes have corresponding sides that are proportional to each other.
Given the dimensions of the first shape as 5, x, and 5, and the dimensions of the second shape as 30, 24, and 30, we can set up the following proportion:
5/x = 30/24
To solve for x, we can cross-multiply:
30 · x = 5 · 24
30x = 120
Dividing both sides of the equation by 30:
x = 120 / 30
x = 4
Therefore, the value of x is 4.
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50 POINTS, PLEASE HELP
do the problem
Answer:
Surface Area: 184cm^2
Volume: 120cm^2
Step-by-step explanation:
the area of Alaska is about 2 x 10 to the 6 power square kilometers the area of Rhode Island is about 4 x 10 to the 3rd power square kilometers approximately how many times larger is Alaska than Rhode Island
Answer:
i think the answer is A: 0.0005
Step-by-step explanation:
i think so because when i divided alaska by rhode island, i got 500000000. so i guess you move the decimal
A square wrestling mat has a perimeter of (12x−32)
feet. Write an expression in simplest form that represents the side length (in feet) of the mat.
Answer:
The perimeter of a square is given by the formula P = 4s, where s is the side length. In this case, we are given that the perimeter is (12x - 32) feet, so we can set up an equation:
P = 4s
(12x - 32) = 4s
To solve for s, we can divide both sides by 4:
(12x - 32)/4 = s
Simplifying the expression on the left:
3x - 8 = s
Therefore, the expression in simplest form that represents the side length of the square wrestling mat is 3x - 8 feet.
Answer:
Step-by-step explanation:
the answer would be 3 x − 8 3x-8 3x−8 ft
Solve using tangent and cosine
The value of side length x in diagram a) is 4.3mm and side length x in diagram b) is 309.7 m.
What are the sides of the triangle labelled x?The figures in the image are right triangles.
A)
angle D = 17 degree
Adjacent to angle D = 14 mm
Opposite to angle D = x
To solve for the missing side length x, we use the trigonometric ratio.
Note that: tangent = opposite / adjacent
Hence:
tan( 17 ) = x/14
x = tan( 17 ) × 14
x = 4.3mm
B)
angle Z = 82 degree
Adjacent to angle Z = 43.1 m
Hypotenuse = x
Using trigonometric ratio,
cosine = adjacent / hypotenuse
cos( 82 ) = 43.1 / x
x = 43.1 / cos( 82 )
x = 309.7 m
Therefore, the measure of x is 309.7 meters.
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a skeptical paranormal researcher claims that the proportion of americans that have seen a ufo, p, is less than 4 in every one thousand. assuming that a hypothesis test is conducted to test this claim, identify the null hypothesis h0 and the alternative hypothesis ha.
The null hypothesis h0 and the alternative hypothesis ha are,
Null hypothesis: \(p \leq 0.004\)
Alternative hypothesis: \(p > \frac{4}{1000} = 0.004\)
An alternative way to state the system of hypotheses is as follows:
Null hypothesis: \(p = 0.004\)
Alternative hypothesis: \(p > \frac{4}{1000} = 0.004\)
And that looks like the most logical alternative among the ones offered
C. H0: p = 0.004
H1: p > 0.004
Because the null hypothesis always requires an equal sign, and options A, B, and D do not meet this requirement.
The alternative hypothesis, which is what we are seeking to test in this experiment, is that "the proportion of Americans who have seen a UFO, p, is less than 4 in every 1,000" And thanks to the complement rule, the null hypothesis will exist.
This supports the following set of hypotheses:
Null hypothesis: \(p \leq 0.004\)
Alternative hypothesis: \(p > \frac{4}{1000} = 0.004\)
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5. When looking at a map, a student realizes that Birmingham is nearly due west of Atlanta, and Nashville is nearly due north of Birmingham. If the distance from Atlanta to Birmingham is roughly 150 mi, and the distance from Birmingham to Nashville is roughly 200 mi, what is the estimated distance from Atlanta to Nashville?
Answer: 250 mi
Step-by-step explanation:
Here we can think in a triangle rectangle:
The distance from Birmingham to Atlanta is roughly 150 mi, and this is one of the cathetus.
And the distance from Birmingham to Nashville is roughly 200 mi, this is the other cathetus of the triangle.
Now, the distance from Atlanta to Nashville will be the hypotenuse of this triangle rectangle.
Now we can apply the Pythagorean's theorem:
A^2 + B^2 = H^2
Where A and B are the cathetus, and H is the hypotenuse:
Then:
H = √(A^2 + B^2)
H = √(150^2 + 200^2) mi = √(62,500) mi = 250 mi
Then the estimated distance from Atlanta to Nashville is 250 mi
Is this correct? My answer was 61.5
Answer:
yes 61.5 is correct
Step-by-step explanation:
NO LINKS!! URGENT HELP PLEASE!!
1. Find the area of a regular octagon. Each side is 12 m.
2. The perimeter of a regular polygon is 72 feet. An exterior angle of the polygon measures 40°. Find the length of each side.
3. If the perimeter of a regular pentagon is 50 in. Find the area. Show a drawing and work please.
Answer:
1) 695.3 m²
2) 8 ft
3) 172.0 in²
Step-by-step explanation:
Question 1To find the area of a regular polygon, we can use the following formula:
\(\boxed{\begin{minipage}{5.5cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{s^2n}{4 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}\)
Given the polygon is an octagon, n = 8.
Given each side measures 12 m, s = 12.
Substitute the values of n and s into the formula for area and solve for A:
\(\implies A=\dfrac{(12)^2 \cdot 8}{4 \tan\left(\dfrac{180^{\circ}}{8}\right)}\)
\(\implies A=\dfrac{144 \cdot 8}{4 \tan\left(22.5^{\circ}\right)}\)
\(\implies A=\dfrac{1152}{4 \tan\left(22.5^{\circ}\right)}\)
\(\implies A=\dfrac{288}{\tan\left(22.5^{\circ}\right)}\)
\(\implies A=695.29350...\)
Therefore, the area of a regular octagon with side length 12 m is 695.3 m² rounded to the nearest tenth.
\(\hrulefill\)
Question 2The sum of an interior angle of a regular polygon and its corresponding exterior angle is always 180°.
If the exterior angle of a polygon measures 40°, then its interior angle measures 140°.
To determine the number of sides of the regular polygon given its interior angle, we can use this formula, where n is the number of sides:
\(\boxed{\textsf{Interior angle of a regular polygon} = \dfrac{180^{\circ}(n-2)}{n}}\)
Therefore:
\(\implies 140^{\circ}=\dfrac{180^{\circ}(n-2)}{n}\)
\(\implies 140^{\circ}n=180^{\circ}n - 360^{\circ}\)
\(\implies 40^{\circ}n=360^{\circ}\)
\(\implies n=\dfrac{360^{\circ}}{40^{\circ}}\)
\(\implies n=9\)
Therefore, the regular polygon has 9 sides.
To determine the length of each side, divide the given perimeter by the number of sides:
\(\implies \sf Side\;length=\dfrac{Perimeter}{\textsf{$n$}}\)
\(\implies \sf Side \;length=\dfrac{72}{9}\)
\(\implies \sf Side \;length=8\;ft\)
Therefore, the length of each side of the regular polygon is 8 ft.
\(\hrulefill\)
Question 3The area of a regular polygon can be calculated using the following formula:
\(\boxed{\begin{minipage}{5.5cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{s^2n}{4 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}\)
A regular pentagon has 5 sides, so n = 5.
If its perimeter is 50 inches, then the length of one side is 10 inches, so s = 10.
Substitute the values of s and n into the formula and solve for A:
\(\implies A=\dfrac{(10)^2 \cdot 5}{4 \tan\left(\dfrac{180^{\circ}}{5}\right)}\)
\(\implies A=\dfrac{100 \cdot 5}{4 \tan\left(36^{\circ}\right)}\)
\(\implies A=\dfrac{500}{4 \tan\left(36^{\circ}\right)}\)
\(\implies A=\dfrac{125}{\tan\left(36^{\circ}\right)}\)
\(\implies A=172.047740...\)
Therefore, the area of a regular pentagon with perimeter 50 inches is 172.0 in² rounded to the nearest tenth.
Answer:
1.695.29 m^2
2.8 feet
3. 172.0477 in^2
Step-by-step explanation:
1. The area of a regular octagon can be found using the formula:
\(\boxed{\bold{Area = 2a^2(1 + \sqrt{2})}}\)
where a is the length of one side of the octagon.
In this case, a = 12 m, so the area is:
\(\bold{Area = 2(12 m)^2(1 + \sqrt{2}) = 288m^2(1 + \sqrt2)=695.29 m^2}\)
Therefore, the Area of a regular octagon is 695.29 m^2
2.
The formula for the exterior angle of a regular polygon is:
\(\boxed{\bold{Exterior \:angle = \frac{360^o}{n}}}\)
where n is the number of sides in the polygon.
In this case, the exterior angle is 40°, so we can set up the following equation:
\(\bold{40^o=\frac{ 360^0 }{n}}\)
\(n=\frac{360}{40}=9\)
Therefore, the polygon has n=9 sides.
Perimeter=72ft.
We have
\(\boxed{\bold{Perimeter = n*s}}\)
where n is the number of sides in the polygon and s is the length of one side.
Substituting Value.
72 feet = 9*s
\(\bold{s =\frac{ 72 \:feet }{ 9}}\)
s = 8 feet
Therefore, the length of each side of the polygon is 8 feet.
3.
Solution:
A regular pentagon has five sides of equal length. If the perimeter of the pentagon is 50 in, then each side has a length = \(\bold{\frac{perimeter}{n}=\frac{50}{5 }= 10 in.}\)
The area of a regular pentagon can be found using the following formula:
\(\boxed{\bold{Area = \frac{1}{4}\sqrt{5(5+2\sqrt{5})} *s^2}}\)
where s is the length of one side of the Pentagon.
In this case, s = 10 in, so the area is:
\(\bold{Area= \frac{1}{4}\sqrt{5(5+2\sqrt{5})} *10^2=172.0477 in^2}\)
Drawing: Attachment
1+A-3=? A=2 20 character limit so hehe
Graph the inequality 7≤ y -3x < 11
Answer:
1
Step-by-step explanation:
Match the number of significant figures to the value or problem.
1
?
0.008
4
?
54
3
?
1002. 43.2
2
?
1.068
Answer:
answer is 1 2 3 and 4 respectively of given match the following
Which of the following does not represent a statistical question?
A. How tall are the students in my class?
B. How many hours per week do you practice sports?
C. How much do the students on the football team weigh?
Answer:
B
Step-by-step explanation:
Because "How Tall are the students in my class?" and "How much do the students oon the team weigh,?" can vary. If you ask a question about one person, it is not a statistical question because the answer cant vary.
An answer will vary with 2 or more things.
Hope I helped.
How many hours per week do you practice sports? does not represent a statistical question because it asks for a fixed quantity, i.e., the number of hours per week someone practices sports, which does not involve variability or differences among data.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
A statistical question is a question that can be answered through data analysis and involves variability or differences among data.
It usually requires collecting data from a sample or population, organizing and summarizing the data, and drawing conclusions from the results.
How tall are the students in my class and How much do the students on the football team weigh represent statistical questions because they involve collecting data on a characteristic or variable of a population, such as height or weight.
These questions can be answered through data analysis and provide information on the variability or distribution of the characteristic in the population.
Hence, Option B does not represent a statistical question because it asks for a fixed quantity, i.e., the number of hours per week someone practices sports, which does not involve variability or differences among data.
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Please help!
1.) Find mED
2.) Find mEA
3.) Find mBDC
The sum of two numbers is 12. The difference of the two numbers is 6. What are the two numbers?
Answer:
3 and 9
Step-by-step explanation:
x+y=12
y-x=6
y-x=6
+x. +x
y=6+x
x+(6+x)=12
6+2x=12
-6. -6
2x=6
/2. /2
x=3
3+y=12
-3. -3
y=9
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a forrest covers an area of 2400 km^2. if each year the area decreases by 8.5%, what will the area be after 14 years? round answer to nearest square kilometer. (please explain how you get the answer so i can do future questions myself! thank you :) )
Answer:
1581.62810745 square km
Step-by-step explanation:
P = Initial Area = 2500 square km.
r = rate of decreasing = 8.75%
n = number of years = 5 years
A = 2500 ( 1 - 8.75/100)^5
A = 2500 {(100–8.75)/100}^5
A = 2500 (91.25/100)^5
A = 2500 (0.9125)^5
A = 2500 * 0.63265124298
A = 1581.62810745
Solve the following quadratic inequality x^2+x-6>0
Answer:
x < -3 or x > 2
Step-by-step explanation:
x² + x - 6 > 0
Convert the inequality to an equation.
x² + x - 6 = 0
Factor using the AC method and get:
(x - 2) (x + 3) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x - 2 = 0
x = 2
x + 3 = 0
x = -3
So, the solution is x < -3 or x > 2