Answer:
7.54 times greater.
Step-by-step explanation:
The square with a side length of 4 inches has a 4×4=16 inches squared area. The area of a cirkel is calculated with the formula \pi×r^2. Using the 6.2 inch radius given, we get \pi×6.2^2=120.76 inches squared. 120.76/16=7.54 times greater.
Final answer:
Calculate the difference in area between a circle and a square given their respective dimensions.
Explanation:
To find the area of a circle with a radius of 6.2 inches:
Calculate the area using the formula A = πr², where r = 6.2 inches.Area of circle = π x (6.2)² = 38.48 square inches.To find the area of a square with a side length of 4 inches:
Calculate the area of the square using the formula A = s², where s = 4 inches.Area of square = 4 x 4 = 16 square inches.Subtract the area of the square from the area of the circle to find the difference:
Difference = 38.48 - 16 = 22.48 square inches.
Answer the image. Also you don't need to explain your answer.
Answer:
2~1/4
Step-by-step explanat
Answer:
Step-by-step explanation:
[tex]\frac{3}{4}+\frac{3}{4}+\frac{3}{4}=\frac{3+3+3}{4}=\frac{9}{4}\\\\=2\frac{1}{4}[/tex]
A ball is dropped from a height of 6 feet. The ball bounces to 40% of its previous height with each bounce. How high (to the nearest tenth of a foot) does the ball bounce on the fifth bounce?
Answer: 0.1 feet
Step-by-step explanation:
This is a case of Geometric sequence .
First bounce = 40% of 6 feet
First bounce = 2.4 feet
second bounce = 40% of 2.4 feet = 0.96
Third bounce = 40% of 0.96 = 0.384
fourth bounce = 40% of 0.384 = 0.1536
fifth bounce = 40% of 0.1536 = 0.06144
Therefore : the ball is 0.1 feet to the nearest tenth of a foot
2. Josh and his brother will drive from Boston
to New York, a distance of 220 miles. If -
they drive an average speed of 50.5 miles
per hour, how long will it take Josh and his
brother to arrive in New York? Round to
the nearest tenth.
Answer: 4.4 hours
Step-by-step explanation:
Distance = 220 miles
Speed = 50.5 miles/hour
speed = distance / time
Therefore :
time = distance / speed
time = 220/50.5
time = 4.356435644
To the nearest tenth , time = 4.4 hours
Derrick has 72 inches of ribbon to make bows. He uses all of his ribbon to make 9 bows of equal length l . How many inches of ribbon does each bow use? Write an equation to model the situation. Then solve the problem.
To find out how much ribbon is used for each bow, we set up and solve the equation 72 = 9l. Our solution is that each bow uses 8 inches of ribbon.
Explanation:This is a problem about division in real-life situations or practical arithmetic. Given that Derrick has 72 inches of ribbon and he wants to make 9 bows of equal length from the ribbon. A suitable equation to model this situation is: 72 = 9l .
To solve this equation for l (which represents the length of ribbon used for each bow), you would divide both sides of the equation by 9. This results in l = 72 ÷ 9. Performing the division calculation gives you that l = 8. Hence, each bow uses 8 inches of ribbon.
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Which of the following represents Exponential Growth? Choose all that apply.
Group of answer choices
y=(5/4)^x
y=4^-x
y=5^x
y=(4/5)^x
Answer:
[tex]y=(\frac{5}{4})^x[/tex]
[tex]y=5^x[/tex]
Step-by-step explanation:
we know that
In a exponential function of the form
[tex]y=a(b^x)[/tex]
where
a is the initial value
b is the base
If the value of b >1 ----> then is a exponential growth
If the value of b <1 ----> then is a exponential decay
Verify each case
case a) we have
[tex]y=(\frac{5}{4})^x[/tex]
[tex]b=\frac{5}{4}[/tex]
b> 1
therefore
The function represent exponential growth
case b) we have
[tex]y=(4)^{-x}[/tex]
[tex]b=\frac{1}{4}[/tex]
b< 1
therefore
The function represent exponential decay
case c) we have
[tex]y=5^x[/tex]
[tex]b=5[/tex]
b> 1
therefore
The function represent exponential growth
case d) we have
[tex]y=(\frac{4}{5})^x[/tex]
[tex]b=\frac{4}{5}[/tex]
b< 1
therefore
The function represent exponential decay
The functions y=(5/4)^x and y=5^x represent exponential growth since the value of the function increases as the exponent (x) increases. This pattern follows the characteristic of exponential growth, where larger values lead to faster rates of increase.
Explanation:Exponential growth occurs in mathematics when a quantity increases by a fixed percentage or fraction over equal intervals of time. This can be represented by a mathematical function where the variable is an exponent. Looking at the provided options, let's determine which ones represent exponential growth:
y=(5/4)^x: This function represents exponential growth because as x increases, the value of the function also increases proportionally.y=4^-x: This function does not represent exponential growth; instead, it represents exponential decay, as the value of the function decreases as x increases.y=5^x: This is a classic example of exponential growth, with the base 5 being raised to the power of x. As x increases, the function's value grows exponentially.y=(4/5)^x: Similar to the second function, this represents exponential decay, not growth, as the function's value diminishes as x increases.Therefore, the functions that represent exponential growth are y=(5/4)^x and y=5^x.
5. Use multiplicatonto show
that 1/4 is
equivalent to 3/12
Answer:
1 Simplify 3/12 to 1/4
1/4 =1/4
2 Since both sides equal, there are infinitely many solutions.
Infinitely Many Solutions
Daniel has 6 teaspoons of salt. The ratio of teaspoons to tablespoons is 3 :1. How many tablespoons of salt does Daniel have
Answer:
2
Step-by-step explanation:
because for every 3 teaspoons of salt he will have 1 tablespoon of salt and 6 divided by 3 is 2
Select a real-world problem for the equation 18w = 108. Then solve the problem. A If total rainfall for last month was 108 inches and it rains 18 inches this month, how many inches of rainfall were there total? B If after 108 days someone has made 18 new friends, how many friends did she make per day? C A lab technician earns 18 dollars per hour, if he worked for 108 hours, how much did he earn? D If one full glass holds 18 ounces of water, how many full glasses will hold 108 ounces?
The problem is multiplying w by 18 to get a total of 108.
The answer would be :
D If one full glass holds 18 ounces of water, how many full glasses will hold 108 ounces?
To solve for the number of cups divide both sides of the equation by 18:
18w = 108
W= 108 / 18
W = 6
It would take 6 18 ounce glasses to equal 108 total ounces.
What number is equivalent to the expanded form (2 x 100) + (3 x 1) + (4 x 1/10) + (3 x 1/1,000
The equivalent number to the given expanded form is 203.403
Step-by-step explanation:
To find the equivalent number of the expanded form, Use BODMAS rule.
B - bracket
O - of
D - division
M - multiplication
A - addition
S - subtraction
In the given equation, look for the BODMAS order to solve the expanded form:
step 1: solve the numbers inside the bracket.
(2*100)+(3*1)+(4*1/10)+(3*1/1000) = 200 + 3 + 4/10 + 3/1000
step 2: In the order of BODMAS, division comes before addition. So, Division has to be given priority and then addition should be performed.
200 + 3 + 0.4 + 0.003 = 203.403
Subtract: 5 - 3 1/3 what is the answer
Answer:
5/3
Step-by-step explanation:
3 1/3=10/3
5-10/3
15/3-10/3
5/3
5 3/4 - 3 1/2. What is the answer?
Answer:
2 and 25/100
Step-by-step explanation:
find the area of the trapezoid 21m by 7m by 21m
Answer:
its 294 hope this helps
Step-by-step explanation:
A model rocket was built using a scale factor of 1:15 if the height of the actual rocket is 9.9m, what is the height of the millimeters
Answer:
660 mm
Step-by-step explanation:
we know that
The scale factor is [tex]\frac{1}{15}[/tex]
That means
1 unit in the model represent 15 units in the actual
or
1 m in the model represent 15 m in the actual
To find out the height of the model rocket, divide the height of the actual rocket by 15
so
[tex]9.9\ m=\frac{9.9}{15}= 0.66\ m[/tex]
Convert m to mm
Remember that
[tex]1\ m=1,000\ mm[/tex]
To convert meters to millimeters, multiply by 1,000
so
[tex]0.66\ m=0.66(1,000)=660\ mm[/tex]
Final answer:
To find the height of a model rocket built to a 1:15 scale with the actual rocket height at 9.9 meters, multiply 9.9 by the scale factor (1/15) and convert the result to millimeters, yielding 660 millimeters for the model's height.
Explanation:
The student asked how to find the height of a model rocket that was built using a scale factor, given the height of the actual rocket. To solve this problem, we use the scale factor to determine the model's dimensions. For example, if a model rocket was built using a scale factor of 1:15 and the actual rocket is 9.9 meters tall, we would calculate the model's height in millimeters by multiplying the actual height by the scale factor and converting meters to millimeters (1000 millimeters = 1 meter).
Here's the calculation:
Model Height in meters = Actual Height in meters * Scale Factor = 9.9m * (1/15)Model Height in millimeters = Model Height in meters * 1000 = (9.9m * (1/15)) * 1000By performing the multiplication, we find that the model's height would be 660 millimeters.
A rectangular rug has a perimeter of 220 feet. The width of the rug is two feet less than the length. Find the length and the width.
Answer:
The length is 56 and the width is 54.
Step-by-step explanation:
The perimeter of a rectangle is 2x+2y (width and length on both sides). so 2x+2y=220. Also x=y-2, because the width is 2 feet less than the length. Fill x=y-2 in 2x+2y=220 and we get 2(y-2)+2y=220. 2y-4+2y=220. 4y=216. y=54. Fill in y=54 in 2x+2y=220 and we get 2x+2(54)=220. 2x=220-2(54)=112. x=56.
The length of the rug is 56 feet, and the width is 54 feet.
Explanation:Let's denote the length of the rug as x feet. According to the given information, we know that the width is two feet less than the length, so the width is x-2 feet. The perimeter of a rectangle is the sum of all its sides, which in this case is 2(length + width). Setting up the equation for the perimeter:
2(x + (x-2)) = 220
Simplifying the equation:
2(2x-2) = 220
4x - 4 = 220
4x = 224
x = 56
Therefore, the length of the rug is 56 feet, and the width is 54 feet.
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Original function is f(x)=2^x
Answer:
Look at the photo below for the answer.
:)
Find the distance between the given points. (2,4) (6,-2)
Answer:
y=-1/2x+7
Step-by-step explanation:
Form a union for the following sets.
K= {2, 3, 5, 8}
L = {3, 5, 7}
00)
O (3,5}
O [2, 3, 5, 7, 8]
O (2,7,8)
Answer:
The Correct option is third one { 2, 3 , 5 , 7 , 8 }.
Therefore,
KUL = { 2, 3 , 5 , 7 , 8 }
Step-by-step explanation:
Set:
A set in mathematics is a collection of well defined and distinct objects, also consist of a collection of elements.
Examples given here is
K = { 2, 3 , 5 , 8 }
K is a set consist of number two, three, five, and eight.
Similarly,
L = { 3 , 5 , 7 }
L is a set consist of number three, five, and seven.
Union:
The union of a collection of sets is the set of all elements in the collection.
It is denoted as ' ∪ '
Therefore,
(K∪L) = { 2, 3 , 5 , 7 , 8 }
It is the collection of set K and L both together.
Therefore,
KUL = { 2, 3 , 5 , 7 , 8 }
The formula for the area of a trapezoid is A = 1/2 h(b1 + b2), where A = area, h = height, b1 = base 1, and b2 = base 2.
For a trapezoid with a height of 7 centimeters and base lengths of 6 centimeters and 10 centimeters, the area is
square centimeters.
56
11.5
210
Answer:
56 square centimeters
Step-by-step explanation:
we know that
The formula for the area of a trapezoid is
[tex]A=\frac{1}{2}[b_1+b_2]h[/tex]
we have
[tex]h=7\ cm\\b_1=6\ cm\\b_2=10\ cm[/tex]
substitute in the formula
[tex]A=\frac{1}{2}[6+10]7\\\\A=\frac{1}{2}[16]7\\\\A=(8)7=56\ cm^2[/tex]
One day you walk 300 meters for 10 minutes. At another day,
you walked at the same speed for 15 minutes. How far did you
walk?
Answer:
450 meters
Step-by-step explanation:
300m=10 minutes
???=15 minutes
300/10=30
15 x 30 =450 meters
To determine the distance walked in 15 minutes, multiply the walking speed (30 meters per minute) by the time (15 minutes), resulting in a total distance of 450 meters walked.
Explanation:The problem we are solving is a basic mathematics question regarding distance, speed, and time. To find out how far you walked on another day at the same speed for 15 minutes, we will use the distance you walked in 10 minutes as a reference.
You walked 300 meters in 10 minutes. This means that in one minute, you walk 300 meters divided by 10 minutes, which is 30 meters per minute. This is your walking speed. To find out how far you walked in 15 minutes, you would multiply your speed by 15.
Therefore, the distance walked in 15 minutes is:
Speed (in m/min) × Time (in minutes) = Distance (in meters)
30 m/min × 15 min = 450 meters.
So, on another day, you walked 450 meters in 15 minutes at the same speed.
which equations are true please help?
Answer:
All the equation are true .
Step-by-step explanation:
Because In each equation you find that after working it out you will remain with x each side
find the measure of ∠6
Answer:
75 degrees would be it
Keelahs clothing store buys coats for $50 and then sells them for $80 what is the percent increase on the price of the coat?
Answer:
X= 60% increase
Step-by-step explanation:
Original: 50
New: 80
1. 80-50/50 = X/100
2. 30 * 2/ 50* 2 = X/100
3. X= 60% increase
Question :
Jessica rode 9 miles farther than Roger rode. Let r represent the number of miles Roger rode . Write am expression for the number of miles jessica rode
Answer:
9+r
Step-by-step explanation:
jessica rode 9 more miles so u would add it to the number of miles roger rode
The expression for the number of miles Jessica rode, given that Roger rode r miles, is r + 9.
Explanation:The question asks us to write an expression for the number of miles Jessica rode, given that she rode 9 miles farther than Roger.
If we let r represent the number of miles Roger rode, then the expression for the number of miles Jessica rode would be r + 9.
This is because Jessica's distance is Roger's distance plus the additional 9 miles.
On a piece of paper, draw a box plot to represent the data below. Then determine which answer choice matches the box plot you draw.
Answer:
The answers A
Step-by-step explanation:
A has 22, the lowest number, 28, the third lowest number, 42, the middle number, 56, the third highest number, and 61 the highest number!
Which equation has a constant of proportionality of 3.5?
Answer:
Question not clear, but likely y = 3.5x if this is one of the answer options
Step-by-step explanation:
The question is not clear as you haven't posted the answer options,
however if any are y = 3.5x, then this would be the answer.
A hamster runs at a speed of 17 centimeters per second in a wheel of radius 10 centimeters
Answer:
[tex]16.2\ \frac{rev}{min}[/tex]
Step-by-step explanation:
The complete question is
A hamster runs at 17 centimeters per second in a wheel of radius 10 centimeters how fast will the wheel spin in revolutions per minute?
step 1
Find the circumference of the wheel
The circumference of the circle is equal to
[tex]C=2\pi r[/tex]
we have
[tex]r=10\ cm[/tex]
substitute
[tex]C=2\pi (10)\\C=20\pi\ cm[/tex]
assume
[tex]\pi=3.14[/tex]
[tex]C=20(3.14)=62.8\ cm[/tex]
step 2
Find the number of revolutions
Remember that
One revolution of the wheel represent a distance equal to the circumference of the wheel
using proportion
[tex]\frac{1}{62.8}\ \frac{rev}{cm}=\frac{x}{17}\ \frac{rev}{cm}\\\\x=17/62.8\\\\x=0.27\ rev[/tex]
so
The number of revolutions per second is [tex]0.27\ \frac{rev}{sec}[/tex]
step 3
Convert to rev per minute
we know that
[tex]1\ min=60\ sec[/tex]
to convert sec to min divide by 60
so
[tex]0.27\ \frac{rev}{sec}=0.27:\frac{1}{60}=16.2\ \frac{rev}{min}[/tex]
What is the operation for - 1/4 x=6
Answer:
x=-24
Step-by-step explanation:
-1/4x=6
x=6/(-1/4)
x=(6/1)(-4/1)
x=-24/1
x=-24
A pizza shop has 18 different toppings to choose from. Today's special comes with a choice of 5 toppings, plus a choice of 3 types of crust: thin crust, regular, and deep dish crust.
How many different combinations can be made with 5 toppings and 3 crusts?
a.
25,704
c.
8568
b.
203,490
d.
270
Answer A
Answer:
i think D is the correct answer
Step-by-step explanation:
Answer:
A. 25,704
Step-by-step explanation:
I just took the test on edg
Hope this helps
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Determine whether the equation has no solution, one solution, or infinitely many solutions. 7(12 – 2 x ) = 4(3 – 3 x )
Answer: The equation has one solution
Step-by-step explanation: First , open the brackets
7( 12 - 2x ) = 4 (3 - 3x )
84 - 14x = 12 - 12x
collect the like terms
84 - 12 = - 12x + 14x
72 = 2x
Therefore divide through by 2
x = 72/2
x = 36
Therefore, the equation has only one solution
If Nora's house has an assessed value of $76,320 and a real estate tax rate of $2.98 per $100,
what will she pay in real estate tax?
A.$3,567.34
B.$2,274.34
C.$2,008.94
D.$1,345.26
Option B:
$2,274.34
Step-by-step explanation:
Given Nora's house has an assessed value = $76,320
Real estate tax rate = $2.98 per $100
[tex]=\frac{2.98}{100}[/tex]
= $0.0298
Tax for assessed value $76,320 = $76,320 × $0.0298
= $2274.336
= $2274.34
Hence, tax for Nora's house is $2274.34.