Answer:
Length=9.6
Width=5.1
Step-by-step explanation:
Step one:
given data
for the large chocolate
Area=48.96ft^2
let the width be x
w=xft
let the length be l
l=(2x-0.6)
Step two:
we know that area A=length * width
48.96=(2x-0.6)*x
48.96=2x^2-0.6x
2x^2-0.6x-48.96=0
divide through by 2 we have
x^2-0.3x-24.48=0
solving the quadratic equation, the roots are
x=5.1
x=-4.8-----not correct cannot be -ve
so x=5.1
the width is 5.1
the length = 2(5.1)-0.6
l=10.2-0.6
l=9.6
check Area= 9.6*5.1= 48.96
The length and the width of the bar are 6.7ft and 7.3ft respectively
The formula for calculating the volume of the chocolate bar is expressed as:
V = Base area * heightGiven the following parameters
Base area = 48.96 square feet B = length * width48.96 square feet = lwIf the length is 0.6 foot shorter than twice its width, hence;
l = w - 0.6
The expression becomes;
\(48.96 = w(w-0.6)\\48.96 = w^2 - 0.6w\\w^2 - 0.6w - 48.96 - 0\)
On factorizing the result, w = 7.3ft
Recall that l = w - 0.6
l = 7.3 - 0.6
l = 6.7ft
Hence the length and the width of the bar are 6.7ft and 7.3ft respectively.
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Yes or no?????!!!!!!!
Answer:
Yes
Step-by-step explanation:
what is the arithmetic mean of all of the positive two-digit integers with the property that the integer is equal to the sum of its first digit plus its second digit plus the product of its two digits?
The arithmetic mean is 59.
What is arithmetic mean?
It is the sum of collection of numbers divided by the count of the numbers.
Conider AB is the nuber satisfying the condition. Hence,
\(10A+B=A+B+A\times B\\9A=A\times B\\\)
Since AB is a two digit number hence, \(A\neq 0\\\). Hence, divide both sides by \(A\).
\(9=B\)
Hence, B is 9 and A can take any value from 1 to 9.
Hence, numbers are 19, 29, 39, 49, 59, 69, 79, 89,99.
Now, calculate arithmetic mean as follows:
\(AM=\frac{Sum \ of \ numbes}{Count \ of \ numbers}\\=\frac{19+29+39+49+59+69+79+89+99}{9}\\=59\)
Hence, arithmetic mean of numbers is 59.
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Jordan read for 45 minutes before going to bed. She went to bed at 8:00. What time did Jordan start reading?
Answer: 7:15
Step-by-step explanation:
8:00 - 45 minutes
or...
? + 45 minutes = 8:00
which means...
she started at 7:15
-
calculate the distance between the points K=(1, -1) and F=(8. – 7) in the coordinate plane.
Answer:
The distance would be √85
Step-by-step explanation:
18) Mala gave Kamala half the number of sweets she had. She then had 7 sweets left. How many sweets did Mala have at the start?
Answer:
Mala had 14 sweets at the start.
Step-by-step explanation:
7 x 2 = 14
To check, 14/2 = 7. (Dividing by 2 is the same as multiplying by 1/2)
given the slope of 2 and a point on the line (5,3), write the equation of the line
Answer:
y=2x-7
Step-by-step explanation:
y-y1=m(x-x1)
y-3=2(x-5)
y=2x-10+3
y=2x-7
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The average number of words in a romance novel is 64,182 and the standard deviation is 17,154. Assume the distribution is normal. Let X be the number of words in a randomly selected romance novel. Round all answers to two decimal places. A. X ~ N( , ) B. Find the proportion of all novels that are between 50,000 and 60,000 words.
The proportion of all novels that are between 50,000 and 60,000 words is approximately 0.
A. The random variable X, representing the number of words in a randomly selected romance novel, follows a normal distribution with a mean (μ) of 64,182 and a standard deviation (σ) of 17,154.
B. To find the proportion of all novels that are between 50,000 and 60,000 words, we need to calculate the area under the normal curve between those two values.
First, we need to standardize the values using the z-score formula:
z₁ = (50,000 - μ) / σ
z₂ = (60,000 - μ) / σ
Substituting the given values:
z₁ = (50,000 - 64,182) / 17,154
z₂ = (60,000 - 64,182) / 17,154
Calculating these z-scores will give us the standardized values.
Next, we need to find the corresponding cumulative probabilities for each z-score using a standard normal distribution table or a statistical calculator.
Let's assume we find P(Z < z1) = P(Z < z2) = p.
The proportion of all novels between 50,000 and 60,000 words is given by:
Proportion = P(z1 < Z < z2)
= P(Z < z2) - P(Z < z1)
= p - p
= 0
Since the probabilities are the same, the proportion of novels between 50,000 and 60,000 words is approximately 0.
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Identify the errors made in finding the inverse ofy = x2 + 12x.x= y2 + 12xy2 = x - 12xy2=-11xy=-11x, for x > 0Describe the three errors?
First, starting from the equation:
\(y=x^2+12x\)We should change every x for a y and every y for an x, so:
\(x=y^2+12y\)In the text, the first step was:
\(x=\questeq y^2+12x\)So, the first mistake was not to change the linear term 12x for 12y.
Another mistake was made from the following steps:
\(\begin{gathered} y^2=-11x \\ y=\sqrt[]{-11x},x\ge0 \end{gathered}\)The expression inside the square root must be greater or equal to 0, then:
\(\begin{gathered} -11x\ge0 \\ \Rightarrow x\le0 \end{gathered}\)So, the second mistake was not to identify the domain of x correctly.
A third mistake is that the square root of y^2 is not y, it is |y|. So:
\(\begin{gathered} y^2=-11x \\ \Rightarrow|y|=\sqrt[]{-11x} \\ \Rightarrow y=\pm\sqrt[]{-11x} \end{gathered}\)Calculate the value of X
Answer:
x = 19Step-by-step explanation:
We know that:
54 + 6x + 12 = 180Solution:
66 + 6x = 180=> 6x = 114=> x = 114/6=> x = 19Hence, the measure of x is 19.
WILL GIVE BRAINLIEST
Answer:
C i think is the answer ok bye. brainlyest pls
Step-by-step explanation:
::::::::::::::)))))))))))))))))))
Explain how to use the regression calculator to make a reasonable prediction given a data table.
Answer:
Given bivariate data, first determine which is the independent variable, x, and which is the dependent variable, y. Enter the data pairs into the regression calculator. Substitute the value for one variable into the equation for the regression line produced by the calculator, and then predict the value of the other variable.
Step-by-step explanation:
Answer:
Sample Answer: Given bivariate data, first determine which is the independent variable, x, and which is the dependent variable, y. Enter the data pairs into the regression calculator. Substitute the value for one variable into the equation for the regression line produced by the calculator, and then predict the value of the other variable.
Step-by-step explanation:
its from edge
Identify the area of the figure rounded to the nearest tenth
Answer:
118.7 inches squared.
Step-by-step explanation:
What is the area?The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.
What is diameter?Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.
The expression for solving the area of a circle is A = π × \(r^{2}\).
To solve for the semicircle above, we can divide the diameter into 2 to get the radius.
12 ÷ 2 = 6So, the radius of the upper semicircle is 6 inches.
If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.
A = π × \(6^{2}\)This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.
To solve for the lower semicircle, we can do the same this as we did above.
A = π × \(r^{2}\)But wait, we don't know the radius or diameter!
No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.
To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.
6 ÷ 2 = 3So, the radius of the circle is 3.
Now we can insert 3 into the expression.
A = π × \(3^{2}\)This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.
Adding the two semicircles together:
18π + 4.5π = 22.5π22.5 × π ≈ 70.6858So, the area of both semicircles is approximately 70.6858 square inches.
To solve for the area of a rectangle we use the expression:
A = length × widthInserting the dimensions of the rectangle:
8 × 6 = 48So, the area of the rectangle is 48 square inches.
Adding the two areas together:
70.6858 + 48 = 118.6858 ≈ 118.7Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).
Human bones make up 18% of our body mass. Jason's mass is 59.2 kg. What is the mass of his bones?
Answer:
Bone Mass, Density and Bone Weight
"Bone weight is about 15 percent of your body weight, but determining bone weight is complicated and it does not give us useful information. It is much more important to know about bone density, which is the best way to measure bone mass and bone health," says Dr. Ford.
Step-by-step explanation:
Hope its helps you
Answer:
10.656Step-by-step explanation:
18%*59.2=10.656
Laurie is running in a 5,000-meter race. A kilometer equals about 0.625 mile. About how
many miles long is the race?
Answer:
3.125 miles
Step-by-step explanation:
5 × 0.625 = 3.125 miles
Simplify the expression:
10j+10j–10j
Answer:
10j
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
TermsStep-by-step explanation:
Step 1: Define
10j + 10j - 10j
Step 2: Simplify
Combine like terms: 10jAdriana needs to send 232 invitations to her family and friends for her party. There are 12 invitations in a box. How many boxes will Adriana need to order so that everyone receives an invitation?
Answer:
19
Step-by-step explanation:
Adriana needs to send 232 invitations to her family and friends for her party.
There are 12 invitations in a box.
We need to find how many boxes will Adriana needs to order so that everyone receives an invitation. Let there are x boxes. It can be calculated as :
\(x=\dfrac{232}{12}\\\\x=19.34\)
or
x = 19
So, she will need approx 19 boxes.
Consider the following: x 29 62 75 99 108 y 215 225 173 129 111 1) what is slope of the regression line predicting y from x,rounded to 2 decimal places?
The slope of the regression line predicting y from x is 0.30.
Given that,
x y
29 215
62 225
75 173
99 129
108 111
So, the coordinate points are (29, 215) and (62, 225)
The formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).
Here, slope = (225-215)/62-29)
= 10/33
= 0.30
Therefore, the slope of the regression line predicting y from x is 0.30.
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-9x +4y (if x =-2 and y = 2)
Answer:26
Step-by-step explanation:
Sub apparatus
-9(-2)+4(2)
18+8=26
I really need help with these problems
Answer:
yes it is
Step-by-step explanation:
9×9 is 81 hopes this helps!
The population of a city decreases by 1. 7% per year. If this year's population is 242,000, what will next year's population be, to the nearest individual?
Next year population of this city will be 237886
Let the current population of the city is X
Population in a city is the measure of the total living people in that city. Increase in population signifies the addition of living people while decrease in population signifies the subtraction of living people.
Net decrease in the population rate per year is 1.7%
According to the question, Present population of the city is 242000
Therefore, X = 242000
Now as per the question, next year population will be 1.7% less than this year population
Therefore, next year population will be
X - 1.7% of X
Here X = 242000
Therefore,
= 242000 - 1.7% of 242000
= 242000 - 0.017(242000)
= 242000 - 4114
= 237886
Decreased population is 237886
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Given the graph of a radical function, which statement is correct?
Radical function going from the point negative 4 comma negative 3 up to the right through the point 5 comma 0
R colon open bracket y is an element of all real numbers close bracket
R colon open bracket y is an element of all real numbers such that y is greater than or equal to 5 close bracket
R colon open bracket y is an element of all real numbers such that y is greater than or equal to negative 4 close bracket
R colon open bracket y is an element of all real numbers such that y is greater than or equal to negative 3 close bracket
Answer:
R colon open bracket y is an element of all real numbers such that y is greater than or equal to negative 3 close bracket
Write an equation in slope-intercept form for the line with slope 3/5 and y-intercept -1.
Answer:
y=3/5x-1
Step-by-step explanation:
Simplify-80)
(-20)
04
04
0-40
40
Help please
Answer:
the second choice which is positive 4 is the answer
Answer:
4
Step-by-step explanation:
(-80)/(-20)=
(-40)/(-10) when divided by 2
(-20)/(-5) when divided by 2 again
(-4)/(-1) when divided by 5
4 when divided by -1
Hope this helps
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Where the two lines communicate the same truth but use different words to parallel that truth, is what kind of parallelism?.
The kind of parallelism where two lines communicate the same truth but use different words is called semantic parallelism.
Semantic parallelism is a rhetorical device used to emphasize and reinforce a particular idea or concept. It involves using different expressions, but with similar meanings, to convey the same message. Semantic parallelism is used to create repetition and enhance the overall impact of the statement.
In summary, semantic parallelism is a powerful literary technique that adds depth and resonance to written or spoken communication.
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A homeowner has 32 feet of fencing to build three sides of a rectangular chicken coup. One side of the chicken coup will be against the barn, so the 32 feet of fence will only be used for three sides.
What are the ideal length and width of the chicken coup that would maximize its area?
Answer:
The ideal length is 16 feet
The ideal width is 8 feet
Step-by-step explanation:
The given parameters are;
The length of the fencing available to the homeowner = 32 feet
The number of sides of the rectangular chicken coup the fence will be applied = 3 sides
Let L represent the length and W, represent the width
Therefore, we have;
The perimeter of the fence = 2W + L = 32 feet
L = 32 - 2·W
The area is given by, A = Length, L × Width, W
A = (32 - 2·W) × W = 32·W - 2·W²
Differentiating with respect to W and equating to 0 to find the maximum point gives;
dA/dW = d(32·W - 2·W²)/dW = 0
32 - 4·W = 0
4·W = 32
W = 32/4 = 8
W = 8 feet
Given that the sign of the variable in the equation of the derivative is negative, the value we get is the maximum point
The ideal width W = 8 feet
The length, L = 32 - 2·W = 32 - 2 × 8 = 16 feet
Therefore, the ideal length, L = 16 feet.
One inlet pipe can fill an empty pool in 9 hours, and a drain can empty the pool in 15 hours. how long will it take the pipe to fill the pool if the drain is left open?
If inlet pipe can fill empty pool in 9 hours, and a drain can empty pool in 15 hours, then it take the pipe 22.5 hours to fill pool if drain is left open.
Let us assume that the pool has a volume of 1 unit.
The inlet pipe can fill pool in 9 hours, so it can fill 1/9 of the pool in one hour.
The drain pipe can empty pool in 15 hours, so it can empty 1/15 of pool in one hour.
Let time taken for pool to be filled when inlet pipe and drain pipe are working simultaneously be = x hours,
This means that pool is getting filled at "1/x" per hour.
So, Net amount of water added to pool per hour is :
⇒ (1/x) = (1/9) - (1/15),
⇒ (1/x) = 2/45,
⇒ x = 45/2 = 22.5,
Therefore, the time taken to fill up a unit volume of water when both pipes are open is 22.5 hours.
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Can someone please answer the question below (Level: Year 8 (7th Grade) ) about algebra equations?
Thanks ^^
rolling three four-sided dice twice, what is the probability of the second total being larger than the first?
The probability of the second total being larger than the first when rolling three four-sided dice twice is approximately 42.75%.
To solve this problem, we will calculate the probabilities of all possible outcomes when rolling three four-sided dice twice, and then find the probability of the second total being larger than the first.
Step 1: Find the total number of possible outcomes
Since there are 4 sides on each die and 3 dice rolled in each round, there are 4^3 = 64 possible outcomes in each round. When rolling twice, the total number of possible outcomes is 64 x 64 = 4096.
Step 2: Count the outcomes where the second total is larger than the first
We will create a table with the possible sums of the dice for both rounds, ranging from 3 to 12 (the lowest sum is 3 when all dice show 1, and the highest sum is 12 when all dice show 4).
In the table, count the number of outcomes where the second total is greater than the first. This can be done by counting the outcomes above the diagonal line of equal sums.
Step 3: Calculate the probability
Divide the number of outcomes where the second total is larger than the first by the total number of possible outcomes (4096).
Probability = (Number of outcomes where the second total is larger) / (Total number of possible outcomes)
When you follow the above steps and count the outcomes, you'll find that there are 1752 outcomes where the second total is larger than the first.
So, the probability of the second total being larger than the first is:
Probability = 1752 / 4096 ≈ 0.4275 or 42.75%
Therefore, the probability of the second total being larger than the first when rolling three four-sided dice twice is approximately 42.75%.
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The probability of the second total being larger than the first is 10/4096, or approximately 0.00244, or about 0.244%.
To solve this problem, we can list all the possible outcomes for rolling three four-sided dice twice and finding the sums.
There are 4^3 = 64 possible outcomes for rolling three four-sided dice, and since we're rolling them twice, there are a total of 64 * 64 = 4,096 possible outcomes.
To simplify the calculation, we can use the fact that the distribution of the sum of rolling a single four-sided die is uniform and ranges from 1 to 4. Therefore, the sum of three four-sided dice ranges from 3 to 12, and there are 10 possible sums.
Now, we need to count the number of outcomes where the second total is larger than the first.
We can do this by considering each possible first total and counting the number of outcomes where the second total is larger.
If the first total is 3, there is only one way to roll it (1+1+1), and there are no ways to roll a larger second total.
If the first total is 4, there are three ways to roll it (1+1+2, 1+2+1, 2+1+1), and there are four ways to roll a larger second total (2+2+1, 2+1+2, 1+2+2, 2+2+2).
If the first total is 5, there are six ways to roll it (1+1+3, 1+3+1, 3+1+1, 2+2+1, 2+1+2, 1+2+2), and there are 10 ways to roll a larger second total.
If the first total is 6, there are 10 ways to roll it (1+2+3, 1+3+2, 1+4+1, 2+1+3, 2+3+1, 2+2+2, 3+1+2, 3+2+1, 4+1+1, 1+1+4), and there are 20 ways to roll a larger second total.
If the first total is 7, there are 15 ways to roll it (1+2+4, 1+3+3, 1+4+2, 2+1+4, 2+4+1, 3+1+3, 3+3+1, 4+1+2, 4+2+1, 2+2+3, 2+3+2, 3+2+2, 1+1+5, 1+5+1, 5+1+1), and there are 35 ways to roll a larger second total.
If the first total is 8, there are 21 ways to roll it (1+2+5, 1+3+4, 1+4+3, 1+5+2, 2+1+5, 2+5+1, 3+1+4, 3+4+1, 4+1+3, 4+3+1, 5+1+2, 5+2+1, 2+2+4, 2+4+2, 4+2+2, 3+3+2, 3+2+3, 2+3+3, 1+1+6, 1+6+1, 6+1+1), and there are 56 ways to roll a larger second total.
If the first total is 9,
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In which direction does the electric field point at a position directly east of a
negative charge?
The electric field at the point directly to the east of the negatively charged point is directed towards the charge, that is, west of the point.
The correct option is D.
Briefing:A negative point charge has an electric field focused at it. Thus, the electric field at the point directly to the east of the negatively charged point is directed towards the charge, that is, west of the point.
Electric field describe as:The electric field is defined as that of the electric force per unit of charge. The direction of the field is assumed to represent the direction of the force it would impose on a positive test charge. The electric field radiates outward from the a positive charge and inward from a negative point charge.
What are the characteristics of an electric field?The field lines never cross. The field lines lie parallel to the charge's surface. The quantity of charge and indeed the number of field lines are proportionate.
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I understand that the question you are looking for is:
What is the direction of the electric field directly to the east of an isolated negative point charge?
A. north
B. south
C. east
D. West
Find the measure of x in the figure.
Write the equation or you will no get full credits
This is Complementary angle
Measure of Complementary angles is 90°
\(\bf \large{\purple{ \implies}} \rm \:(2x) \degree \: + \: 40 \degree \: = \: 90 \degree\)
\(\bf \large{\purple{ \implies}} \rm \:(2x) \degree \: = \: \: 90 \degree \: - \: 40 \degree\)
\(\bf \large{\purple{ \implies}} \rm \:(2x) \degree \: = \: \: 50 \degree\)
\(\bf \large{\purple{ \implies}} \rm \:(x) \: = \: \:\frac{ \cancel{50 \degree} \: ^{25 \degree} }{ \cancel{2 \degree}} \\ \)
\(\bf \large{\purple{ \implies}} \rm \:x \: = \: 25 \degree\)