The Surface area of the actual concert hall is 324 times as great as the surface area of scale model A
Given that,
Imagine creating a music hall model with a scale factor of 18.
To find : How will the scale model's surface area and the real music hall's surface area compare? Considering the volume
A new concert hall using a scale factor is 18.
then,
Scale = Dimension on module / Actual dimension
Area =k²
Where
K = Scale factor
Surface area of actual concert hall = (18)²
= 324
Thus, the Surface area of the actual concert hall is 324 times as great as the surface area of scale model A.
To learn more about Surface Area click here :
brainly.com/question/29298005
#SPJ4
Joe bought a box of laundry that contains 195 scoops. Each load of laundry uses 2 1/2 scoops. If the box of detergent costs $19.99, how much is he paying per load of laundry?
Answer:
a) Number of laundry he can do with this box = 78 laundries.b) Price he paying for each load = 0.256
If slope of a line is 7 and y-intercept is 4, then write the equation of that line.
Answer: The answer is y=7x+4
M is the slope and the y-intercept is b
What percent is equal to the part-to-whole ratio 9:80?
1.
The band and the orchestra are each having a party to celebrate the
results of their latest competition. The band would like to order cupcakes
from Walmart at a cost of $3.35 per cupcake and a $13.00 order fee
The orchestra would like to order cupcakes from Publix at $2.90 each
and a $22.50 order fee. This system {2.90c +22.50 represents the
total cost, T, and the number of cupcakes. Determine how many
cupcakes each club can order if they both have the same amount of
money to spend. Is the solution viable or not viable?
By solving a linear equation, it can be calculated that
Each club can order 21.1 cupcakes if they both have the same amount of
money to spend
What is a linear equation?
Equation shows the comparison between two algebraic expressions by connecting the two algebraic expressions by an equal to sign
A one degree equation is called linear equation
Let the number of cupcakes ordered by each club be c
The band would like to order cupcakes from Walmart at a cost of $3.35 per cupcake and a $13.00 order fee
Total amount spent = $(13 + 3.35c)
The orchestra would like to order cupcakes from Publix at $2.90 each
and a $22.50 order fee
Total amount spent = $(22.5 + 2.90c)
By the problem,
The linear equation is
13 + 3.35c = 22.5 + 2.90c
3.35c - 2.90c = 22.5 - 13
0.45c = 9.5
c = 21.1
This solution is not viable as the number of cupcakes must be an integer not a decimal.
To learn more about linear equation , refer to the link-
https://brainly.com/question/2030026
#SPJ1
Walmart is open Monday through Saturday from 8.00 AM to midnight and Sunday from 10.00 AM to 8:00 PM. How many hours is it open in one week? Show all work!
Please explain
The total number of hours that it opens in one week will be 104 hours.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Walmart is open Monday through Saturday from 8:00 AM to 12:00 AM and Sunday from 10:00 AM to 8:00 PM.
From 8:00 AM to 8:00 PM, there are 12 hours and from 8:00 AM to 12:00 AM there are 4 hours. Then the total hours from Monday to Saturday will be calculated as,
⇒ 6 x (12 + 4)
⇒ 6 x 16
⇒ 96 hours
From 10:00 AM to 8:00 PM, there are only 10 hours. Then the total number of hours that it opens in one week will be given as,
⇒ 96 + 8
⇒ 104 hours
The total number of hours that it opens in one week will be 104 hours.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ1
Simplify each expression.
8x+13 - 3x + 9/1/2
Answer:5x+22
there you gooo
Answer:
5x+ 45/2
Step-by-step explanation:
a 52-foot ladder is leaning against a vertical wall. if the bottom of the ladder is being pulled away from the wall at the rate of 8 feet per second, at what rate is the area of the triangle formed by the wall, the ground, and the ladder changing, in square feet per second, at the instant the bottom of the ladder is 48 feet from the wall?
The rate of change of the area of the triangle, in square feet per second, at the instant the bottom of the ladder is 48 feet from the wall is 26 square feet per second.
Let's call the distance between the bottom of the ladder and the wall x. We can express the area of the triangle in terms of x as follows:
Area = (1/2) * 52 * x
The area of the triangle is changing at a rate of 8 square feet per second as x changes at a rate of 8 feet per second. We can find the rate of change of the area with respect to x by taking the derivative of the area expression with respect to x:
d(Area)/dx = (1/2) * 52 = 26
Therefore, the rate of change of the area of the triangle, in square feet per second, at the instant the bottom of the ladder is 48 feet from the wall is 26 square feet per second.
To learn more about rate of change,
visit; brainly.com/question/29518179
#SPJ4
Makayla has 25% as many bags of popcorn as her sister. How many bags of popcorn does her sister have if Makayla has 12 bags?
Answer:
Makayla's sister has 48 bags of popcorn
Step-by-step explanation:
25/100 = 4
12x4 = 48
12*4
= 48 is the answer
Which of the following choices is not an example of a unit rate?
earnings per hour dollars per pound calories per serving $25.50 for 5 gallons
Examples of unit rates are Dollars per pound calories and earnings per hour. The rest is not the unit rate.
What is the unit rate?
An item's unit rate is its price for one of them. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. 70 yards in 10 seconds and 7 yards in 1 second are both ratios, although only the latter is a unit rate.
Earnings per hour are a unit rate since it is calculated for an hour.
Dollars per pound calories is a unit rate.
Serving $25.50 for 5 gallons is not a unit rate, the cost is for 5 gallons. If the cost is for 1 gallon then it will unit rate.
To learn more about rate, click on the below link:
https://brainly.com/question/29781084
#SPJ1
for a particular clothing store a marketing firm finds that 16% of $10-off coupons delivered by mail are redeemed. suppose six customers are randomly selected and are mailed $10-off coupons. what is the probability that three of the customers redeem the coupon?
The anticipated quantity of coupons as calculated from the data given is 1.6 .
We learn from the question that
The probability of a $10 voucher being redeemed via mail is p = 0.16.
n = 10 is the sample size.
In general, the projected number of coupons redeemed is represented numerically as
E(x) = np [ of PDF ]
= 10 x 0.16
= 1.6
When data follows a normal distribution, the probability density function (PDF) and cumulative distribution function (CDF) assist us in determining probabilities and ranges of probabilities. The CDF is the PDF integration, from left to right. We may construct many forms of probability estimates from our normally distributed data using these two normal distribution functions.
The standard deviation is a technique for us to explain how "spread out" the data is - how far it "deviates" from the mean value. Both and are known as normal distribution parameters.
To learn more about normal distribution
brainly.com/question/27997995
#SPJ4
Help!!!! Please Help Me!!! I need the answer right now!!! Thanks!!!
The subject is Science and Not Mathematics.
I couldn't find the Science option.
The numbers of the atoms of each element are;
Carbon dioxide;6 atoms of carbon, 12 atoms of oxygen
Water ;12 atoms of hydrogen, 6 atoms of oxygen
Glucose;6 atoms of carbon, 12 atoms of hydrogen, 6 atoms of oxygen
Oxygen molecule12 atoms of oxygen
What is a reaction?In a chemical reaction, there is the combination of the atoms of the reactants and a consequent recombination as the products are formed. In accordance with the law of the conservation of mass, we know that the number of atoms before reaction must be equal to the number of atoms after reaction.
Now we have to look at the atoms and count up the number of atoms of each element in each of the compounds and this is how we are able to obtain the number of each atom as shown above.
Learn more about reaction:https://brainly.com/question/28984750
#SPJ1
A garden snail travels at a rate of 2.2 feet per minute.
At this rate, how long will it take for the snail to travel 55 feet?
At this rate, it will take the snail [___ minutes to travel 55 feet.
WHAT IS THE ANSWER.
If the snails moves at a constant rate, it will take 25 minutes to travel 55 feet.
How long will it take for the snail to travel 55 feet?We know that the snail travels at a rate of 2.2 feet per minute, so after x minutes, the distance traveled by the snail is:
D = 2.2ft*x
To see how many minutes it takes the snail to travel 55 feet, we need to solve the equation:
55 ft = 2.2ft*x
If we divide both sides by 2.2ft, we will get:
55ft/2.2ft = x
25 = x
So the snail takes 25 minutes to travel the 55 feet.
Learn more about distances:
https://brainly.com/question/7243416
#SPJ1
Consider this right triangle. 20 m 37° Enter the length of side AB, to the nearest tenth.
Answer:
15.1
Step-by-step explanation:
tan(angle) = opposite/adjacent
tan 37 = AB/20
AB = 20 x tan 37 = 20 x 0.754 = 15.08 or 15.1
PLEASE ANSWER FAST
Find the missing values in the table below so that it represents a linear function.
The value of y₂, y₃ and y₄ in the linear function are -21, -26 and -31 respectively.
How to represent linear function?Linear function can be represented in slope intercept form as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, to find the missing values in the table we have to use the equation of the linear function.
y = mx + b
let's find m.
using (4, -16) and (8, -36)
m = slope = -36 + 16 / 8 - 4
m = -20 / 4
m = -5
Hence, let's find y-intercept using (4, -16).
y = -5x + b
-16 = -5(4) + b
-16 + 20 = b
b = 4
Therefore, the equation is y = -5x + 4.
Let's find y₂, y₃ and y₄
y₂ = -5(5) + 4 = -25 + 4 = - 21
y₃ = -5(6) + 4 = -30 + 4 = -26
y₄ = -5(7) + 4 = -35 + 4 = - 31
learn more on linear function here: https://brainly.com/question/29491261
#SPJ1
9. The length of an arc of a circle is 12 cm. The corresponding sector area is 108 cm².
Find:
a) the radius of the circle
b) the angle subtended at the centre of the circle by the arc.
At the circle's center, the arc's radius and angle are 9 cm and 4/3 radians, respectively.
What is the arc of a circle?Any section of a circle's circumference is considered an arc. Remember that the circumference of a circle is its perimeter or distance.
Given the length of the arc is 12cm and the area of the arc is 108 cm Square.
Since the length of the arc = θ × r
Area of the arc (A) = (θ/360°) × πr2
Substituting values in the formulas
12 = θ × r
108 = θ × r²
comparing both equations
r = 9 cm
θ = 4/3 radian
Therefore, the radius and the angle subtended at the center of the circle by the arc are 9 cm and 4/3 radian respectively.
Learn more about the arc of the circle here:
https://brainly.com/question/16930503
#SPJ1
Coach Burgess drew a right triangle on the board. He said the hypotenuse was 13 inches and one of the legs was 5 inches. What is the length of the other leg? Round to the the tenths place
The length of the other leg is 12 inches.
What is the Pythagorean theorem?
The Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
The hypotenuse of a right triangle is the side opposite the right angle, and the legs of a right triangle are the two sides that are adjacent to the right angle.
If we know the length of the hypotenuse and one leg of a right triangle, we can use the Pythagorean theorem to find the length of the other leg.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.
We can use this theorem to write the equation:
c² = a² + b²
where c is the length of the hypotenuse, and a and b are the lengths of the legs.
In this problem, the hypotenuse is 13 inches and one of the legs is 5 inches. We can substitute these values into the equation to find the length of the other leg:
c² = a² + b²
(13)² = a² + (5)²
169 = a²+ 25
144 = a^2
a = 12
Hence, the length of the other leg is 12 inches.
To learn more about the Pythagorean theorem visit,
https://brainly.com/question/231802
#SPJ1
The equation 4(2x 1) = 6x − 12 models the change in water level in a lake in one month. solve for x, which is change in height in inches. x equals negative thirteen halves x = −8 x = 8 x equals eleven halves
From the given options, option 2. x= -8 is the correct option. Here, the x is change in height in inches so the, change in height is -8 inches.
A linear equation is simply an equation with the highest degree always being 1. The standard form of a linear equation in one variable is Ax + B = 0. x is a variable in this equation, and A and B are constants. A two-variable linear equation has the standard form Ax + By = C. The variables x and y are variables, their coefficients A and B are variables, and C is a constant.
Given, linear equation is
[tex]4(2x+1)=6x-12\\\\8x+4=6x-12\\\\8x-6x=-4-12\\\\2x=-16\\\\x=-8[/tex]
Hence, the x equals to -8.
To learn more about linear equation refer here
https://brainly.com/question/29739212
#SPJ4
Please help me with this question!
Answer:
Step-by-step explanation:
the answer is 11/12
What is the value of x in the solution to this system of equations?
5x - 5y = 120
y = -7x + 8
Enter your answer in the box.
X = what is x?!?!
Answer:
{x = 4
{y = -20
Step-by-step explanation:
{5x - 5y = 120
{y = -7x + 8
5x - 5(-7x +8) = 120
5x + 35x - 40 = 120
40x - 40 = 120
40x = 120 + 40
40x = 160
x = 160/40
(cross out common factor)
x = 4
-----------
x = 4 (next is y)
y = -7 x 4 + 8 (calculate)
y = 20
y = -20
solution of system;
{x = 4
{y = 20
Lisa has x $5 bills and y $10 bills in her purse. The total value of the bills is more than $100. Which Inequality models this situation?
Answer:
D) 5x + 10y > 100
Step-by-step explanation:
We know that the sum of x $5 bills and y $10 bills in more than $100:
5x + 10y > 100
c) 5x + 10y > 100
The sentence did not say equal or greater than (≥).
Select ALL the correct answers.
Consider the graph given below.
Determine which sequences of transformations could be applied to the parent function, f(x) = x, to obtain the graph above.
1)Shift left 3 units, reflect over the y-axis, and then vertically stretch by a factor of 2
2)Shift up 6 units, reflect over the x-axis, and then vertically stretch by a factor of 2
3)Shift right 3 units, reflect over the y-axis, and then vertically stretch by a factor of 2
4)Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units
5)Shift left 2 units, reflect over the y-axis, and then vertically stretch by a factor of 6
6)Reflect over the x-axis, vertically stretch by a factor of 2, and then shift up 6 units
The sequences of transformations that could be applied to the parent function are Reflected over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units i.e. Option (4).
What is transformation?
An operation that manipulates a polygon or other two-dimensional object on a plane or coordinate system is known as a transformation. Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
The two-dimensional shape without any transformations is known as a preimage or inverse image. The transformed figure is shown in the image.
Given, the parent function, f(x) = x
From the given graph, the equation will be
y = -2x + 6
Then, the transformation will be
Shifted up 6 units
Vertical stretch by a factor of 2
Reflected over the y-axis
Hence, the required answer is Option 4.
To learn more about transformation
https://brainly.com/question/2458900
#SPJ1
Hard A level Maths question, please help ASAP cheers
The value of the shaded area from the rectangle ACDE is approximately 52.124 square centimeters.
How to determine the value of the shaded area
In this problem we must calculate the shaded area of the section within the rectangle ACDE, this can be found by the subtracting the area of the region ABDE, which is the combination of the areas of the right triangle ABE and the arc BDE, whose formulas are shown below:
Triangle ABE
S = (1 / 2) · AB · AE
Arc BDE
S = (1 / 2) · α · ED²
Where α is the central angle, in radians.
Rectangle ACDE
S = ED · AE
If we know that AE = 20 cm, ED = 28 cm, α = π / 4 and AB = 20 cm, then the area of the shaded area is:
S = (28 cm) · (20 cm) - (1 / 2) · (π / 4) · (28 cm)² - (1 / 2) · (20 cm) · (20 cm)
S ≈ 52.124 cm²
To learn more on areas: https://brainly.com/question/27683633
#SPJ1
Express 80 as the product of its prime factors.
Write the prime factors in ascending order.
Answer: [tex]2^4 \times 5[/tex]
Step-by-step explanation:
[tex]80=2 \times 40\\\\80=2 \times 2 \times 20\\\\80=2 \times 2 \times 2 \times 10\\\\80=2 \times 2 \times 2 \times 2 \times 5\\\\80=2^4 \times 5[/tex]
The Tri-State Pick 3 lottery game offers a choice of several bets. You choose
a three-digit number. The lottery commission announces the winning three-digit number,
chosen at random, at the end of each day. The "box" pays $83.33 if the number you choose
has the same digits as the winning number, in any order. Find the expected payoff for a
$1 bet on the box. (Assume that you chose a number having three different digits.)
Answer: The Tri-State Pick 3 lottery game offers a choice of several bets, including a "box" bet where you choose a three-digit number and win if the number you choose has the same digits as the winning number, in any order. The expected payoff for a $1 bet on the box is $83.33.
To find this expected value, we need to consider all the possible ways that the winning number could be chosen and calculate the probability of each outcome. Since the winning number is chosen at random, each of the 10 possible digits (0 through 9) is equally likely to be chosen for each of the three positions in the winning number.
Since the box bet pays off if the digits of your chosen number match the digits of the winning number, regardless of their order, the number of winning combinations is equal to the number of ways to arrange the three digits of the winning number. This is equal to 3! (3 factorial), which is equal to 6.
Since there are a total of 10 possible digits for each position and the winning number has three positions, there are a total of 10 x 10 x 10 = 1000 possible winning numbers. Of these, 6 will pay off for a box bet, so the probability of winning a box bet is 6/1000 = 0.006.
Since the expected value of a bet is equal to the probability of winning multiplied by the payoff, the expected value of a $1 bet on the box is 0.006 x $83.33 = $0.05. Therefore, the expected payoff for a $1 bet on the box is $0.05.
Help with question 1
Answer: D
Step-by-step explanation:
Given the tally marks its 16ths, and the point is on the 3rd tally so it would be 10-3/16 Hope this helps!
Which stataments are true regarding undifinable terms in geometry?
Answer:
A point has no length or widthA line consists of an infinite number of pointsA plane consists of an infinite set of linesStep-by-step explanation:
The statements that are true regarding undefined terms are;
A point has no length or widthA line consists of an infinite number of pointsA plane consists of an infinite set of linesThe reason these statements above are true are as follows:
Examples of undefined terms includes a point, a plane, a line and a set
A point is for representing a position in space. It has no dimensions
Therefore, the statement, A point has no length or width is true
A plane is defined as an interconnected set of points that lay on the same flat surface, and extends infinitely along the surface in all directions
A line is defined as an infinite set of points that are arranged in straight path and extends without end in opposite directions
Therefore, the statement, a line consists of an infinite number of points is true
Therefore, a plane can be considered as being made up of an infinite set of lines that are located on a flat surface
Therefore, the statement, a plane consists of an infinite set of lines is true
At a football stadium, 4% of the fans in attendance were teenagers. If there were 170 teenagers at the football stadium, what was the total number of people at the stadium?
Answer:
4,250
Step-by-step explanation:
If 4% of all fans were teenagers, and 100 divided by 4 is 25, simply math of 170 times 25 gives you 4,250
Therefore, the answer is 4,250
Answer:
Total number of people = 4,250
Step-by-step explanation:
4% of 4,250 = 170
a doctor claims that people are at most 6 pounds overweight. to test the claim, the doctor randomly selects 81 people and calculates the difference between their ideal weight and actual weight. the sample mean and sample standard deviation of that difference were 7 pounds and 2 pounds respectively. can we conclude at the 1% level of significance that the claim is true? group of answer choices yes, conclude the claim is true by rejecting h0. no, conclude the claim is not true by rejecting h0. no, conclude the claim is not true by accepting h0. yes, conclude the claim is true by accepting h0.
we conclude at the 1% level of significance that the claim is true by accepting H₀
What is Hypothesis?
A hypothesis outlines your expectations for the results of your investigation. It is a speculative, untested response to your research question.
Given,
n = 81
x bar = 7
s= 2
Here, a doctor claims that people are atmost 6 pound over weight
H₀ : μ ≤ 6 versus
H₀ : μ > 6 versus
Now,
The Test Stastistic is
t = x bar - μ / s√n
t = 7-6/2√81
t = 4.5
let ∝ = 0.10, then p value = 0.000
p value >∝
yes, conclude the claim is true by accepting H₀
To learn more about Hypothesis visit:
brainly.com/question/11560606
#SPJ4
Choose the expression that is equivalent to a fraction with five raised to the negative third power in the numerator and the quantity three raised to the negative second power times five squared end quantity in the denominator and the entire fraction is cubed.
three raised to the sixth power divided by five raised to the fifteenth power
three squared divided by five raised to the fifth power
negative three raised to the sixth power divided by five raised to the fifteenth power
negative three squared divided by five raised to the fifth power
The equivalent expression is three raised to the sixth power divided by five raised to the fifteenth power. Option A
What is an equivalent expression?An equivalent expression is simply described as an expression having the same solution as the original expression but have a different arrangement of its variables and numbers.
Equivalent expressions are also known as expressions that works the same even they look different.
From the information given, we have that;
[tex][\frac{5^-3}{3^-2 * 5^2} ]^3[/tex]
Now, find the exponential values, we have
[tex][\frac{5^-^3^-^2^)^}{3^-^2}]^3[/tex]
Subtract the exponents, we have;
[tex][\frac{5^-^5}{3^-^2} ]^3[/tex]
Multiply the exponents by the cube, we get;
[tex]\frac{5^-^5^*^3}{3^-^2^*^3}[/tex]
Now, multiply the values
5^-15/3^-6
Hence, the value is 5^-15/3^-6
Learn more about equivalent expressions here:
https://brainly.com/question/24734894
#SPJ1
Geometric Transformations
The four letter code from the transformations is given as follows:
FB H.
How to obtain the four letter code?The four letter code is obtained applying the transformations to the given points.
The coordinates of point 1 are given as follows:
(-4,2).
The transformation is a reflection over the x-axis, which has the rule given as follows:
(x,y) ->(x,-y).
Hence the coordinates of the image of point 1 are given as follows:
1'(-4,-2).
Meaning that the first letter is of F.
The coordinates of point 2 are given as follows:
(-2,3).
The transformation is a reflection over the y-axis, which has the rule given as follows:
(x,y) ->(-x,y).
Hence the coordinates of the image of point 2 are given as follows:
2'(2,3)
Meaning that the second letter is of B.
The coordinates of point 4 are given as follows:
(-1,2)
The transformation is a reflection over the line y = x, which has the rule given as follows:
(x,y) ->(y,x).
Hence the coordinates of the image of point 4 are given as follows:
4'(2,-1)
Meaning that the fourth letter is of H.
Missing InformationThe third transformation is missing.
More can be learned about transformations at https://brainly.com/question/29209050
#SPJ1
