Based on the given information, the walkway would be 800 meters long if it is only halfway.
What is the perimeter?In geometry, the perimeter can be defined as the total length of the boundary of a geometrical shape. This differs from the area because the area focuses on the space inside the shape.
What is the perimeter of the pyramid?The perimeter of a square can be calculated by adding up the length of its sides, as shown below:
400 + 400 + 400 + 400 = 1600 meters
This means the total perimeter is 1600 meters.
How long would the walkway be?Considering the walkway needs to cover only half of the perimeter o be halfway up, the length would be:
1600 / 2 = 800 meters.
Based on this, it can be concluded the total length of this walkway would be 800 meters.
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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
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.
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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
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
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
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Suppose that the function y = f(x) is decreasing on the interval (2,4). What can be said about the graph of y = - f(x)?
Answer:
Good question
yes so the answer will be on your screen in
3
2
1
here it is
Step-by-step explanation:
did u get it
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.
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Function h is an input-output machine that uses the rule 9r - 1. Write the machine's
function using function notation.
Function notation form of function h is h(r) = 9r - 1
How to write the machine's function using function notation?Function notation is a way of expressing a mathematical function using a special notation that assigns a specific symbol (called the "function name") to represent the function.
This function name is typically a single letter, such as f, g, or h, and it is followed by a set of parentheses that contain the input value(s) for the function.
Given: Function h is an input-output machine that uses the rule 9r - 1
The function h can be represented using function notation as follows:
h(r) = 9r - 1
This function takes an input value r and applies the rule 9r - 1 to it, producing an output value.
For example, if we input the value 3 into the function, it would produce the output value h(3) = 9×3 - 1 = 26
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s i have 24 vanilla wafer cookies to put in a bag how many bags can i fill if i put the same number in each
She can put it into 2, 4, and 8 bags such that wafer cookies will same number in each bag.
What is a number system?A way to express or represent numbers is through the number system.
The Number System includes any of the several sets of symbols and the rules for using them to represent numbers.
We often employ decimal numbers because they are so widely used.
The base of the decimal number system, which uses ten digits from 0 to 9, is 10.
A system of writing numbers is known as a number system. It is a mathematical notation that uses digits or other symbols to consistently express the numbers in a given set. It represents the arithmetic and algebraic structure of the numbers and gives each number a distinct representation.
Given,
Number of wafer cookies = 64
To put into 2 bags = 64/2 = 32 in each bag.
To put into 4 bags = 64/4 = 16 in each bag.
To put into 8bags = 64/8 = 8 in each bag.
The complete question is : Lindy has 64 vanilla wafer cookies to put in bags. How many bags can she fill if she puts the same number in each bag and uses them all? Find all the possibilities. Explain your reasoning.
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y intercept of y−5=2/3(x+12)
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.
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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
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.
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PLEASE HELP ME I TOOK A PICTURE
The inequality to describe the possible side length for the third side is 1 < x ≤ 19.
What is the inequality of a triangle?
According to the triangle inequality theorem, the sum of any two sides of a triangle is greater than or equal to the third side of a triangle. This statement can symbolically be represented as; a + b > c. a + c > b.
The triangle inequality tells that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.
We have given,
Two sides of a triangle have lengths 9 and 10.
The third side is represented by x.
So by triangle inequality, we have the following inequality:
x ≤ 9 + 10
x ≤ 19
Also, the difference between the lengths of any two sides of a triangle is less than the length of the third side.
10 - 9 < x
1 < x
Hence, the inequality to describe the possible side length for the third side is 1 < x ≤ 19.
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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
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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.
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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.
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What percent is equal to the part-to-whole ratio 9:80?
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.
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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
g(x)=∣x+1∣
the corresponding functions
The functions are x+1 and x-1.
What is a function?It is an expression, rule, or law that defines a relationship between the independent variable and the dependent variable.
Given that g(x) = |x+1|
Since the modulus function has only real numbers, the function can be x+1 and x-1.
If g(x) = |-(x+1)| then it is also the same as the function x+1.
Hence, the corresponding functions of |x+1| are x+1 and x-1.
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Find the sum of the first 30 terms of the following series, to the nearest integer.
2,8,14
The solution is 2670
The sum of the arithmetic sequence is given by S = 2670 where the first term is 2 and common difference is 6
What is Arithmetic Progression?
An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"
The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁
Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]
Given data ,
Let the sum of the arithmetic sequence be = S
Let the number of terms be n = 30
Let the series be A = 2 , 8 , 14 , ..
The first term of the arithmetic sequence a = 2
Let the common difference of the series be d = second term - first term
The common difference d = 8 - 2 = 6
Now ,
Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]
Substituting the values in the equation , we get
S₃₀ = ( 30/2 ) [ 2 x 2 + ( 30 - 1 ) 6 ]
S₃₀ = 15 [ 4 + 29 x 6 ]
S₃₀ = 15 [ 4 + 174 ]
S₃₀ = 15 x 178
S₃₀ = 2670
Therefore , the value of S is 2670
Hence , The sum of the arithmetic sequence is given by S = 2670
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Alexis is `56` inches tall.
What is her height in centimeters?
the answer is 142.24 cm
Answer:
142.24 centimeters tall
Step-by-step explanation:
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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 (≥).
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.
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Please factorize [tex]\ln ^2\left(4-x\right)+\ln \left(4-x\right)\ln \left(x+\frac{1}{2}\right)-2\ln ^2\left(x+\frac{1}{2}\right)=0[/tex]
Answer:
[ln (4 - x) - ln (x + 1/2)] × [ln (4 - x) + 2 ln (x + 1/2)] = 0----------------------------------
Given equation:
ln² (4 - x) + ln (4 - x) ln (x + 1/2) - 2 ln² (x + 1/2) = 0Substitute:
ln (4 - x) = p, ln (x + 1/2) = qThen we have:
p² + pq - 2q² = p² - q² + pq - q² = (p + q)(p - q) + q(p - q) = (p - q)(p + q + q) = 0(p - q)(p + 2q) = 0Substitute back:
ln² (4 - x) + ln (4 - x) ln (x + 1/2) - 2 ln² (x + 1/2) = 0 [ln (4 - x) - ln (x + 1/2)] × [ln (4 - x) + 2 ln (x + 1/2)] = 0for 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.
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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
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.
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.
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