a. An expression for the area of the gym is:
\(A_g=15x\)b. An expression for the area of the cafeteria is:
\(\begin{gathered} A_c=15(x+3) \\ A_c=15x+45 \end{gathered}\)c. An expression for the total area of the gym and cafeteria is:
\(\begin{gathered} A_t=(15)(x+x+3) \\ \rightarrow A_t=(15)(2x+3) \\ \rightarrow A_t=30x+45 \end{gathered}\)d. An expression for the total perimeter of the gym and cafeteria is:
\(\begin{gathered} P_t=2(15)+2(x+x+3) \\ \rightarrow P_t=30+2(2x+3) \\ \rightarrow P_t=30+4x+6 \\ \rightarrow P_t=4x+36 \end{gathered}\)A 500g packet of beans costs £1.55. A 125g packet of the same beans costs £0.36. Which packet is better value for money?
Step-by-step explanation:
Find unit cost per gram for each packet....lower unit cost is better value
L 1.55 / 500 g = .0031 L/g
L .36 / 125 g = .0029 L/g <=======best value 125 g packet
Please help trigonometry and special right trianglez
Answer:
Step-by-step explanation:
Which of the following represents an exponential function? Select all that apply
Answer:
Option B and C are correct.
Step-by-step explanation:
The two graphs in the second picture are the graphs of exponential functions. You can detect it from the L shaped graphs.
The very first graph represents a linear function. A straight line always represents a linear function. In a Linear function, the change in the values of y is constant throughout in relative to change in x values.
The final graph represents a quadratic function rising on both ends.
Answer:
2 and 3 by my knowledge
Step-by-step explanation:
a and b are different numbers selected from the first twenty-five whole numbers: 1 through 25. If a is greater than b, what is the smallest value that the expression below can have?
The smallest value that the expression can have is -1.
To determine the smallest value that the expression can haveWe must determine the smallest difference between any two numbers chosen at random from the first 1 through 25 of the first 25 full numbers.
When we select the lowest and second-smallest numbers from the set, the difference is at its smallest. As a result, a = 1 and b = 2.
The expression is given by a - b:
1 - 2 = -1
Therefore, the smallest value that the expression can have is -1.
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Answer: 24 & 25
Step-by-step explanation:
It says 1-25 so 1 will be B and 25 will be A. Next You subtract 25/25-1 which will equal to 24 and 25/25*1=25
So now You have 24 and 25 and 25 is A because when it says to subtract A & B, A is gonna be Bigger that B so now u have your answer and You can copy below. :)
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Help pldssssssss………………..
The missing value for the quadratic function is given as follows:
y = -3.
How to obtain the quadratic function?As a function of it's roots x* and x**, the quadratic function is defined as follows:
y = a(x - x*)(x - x**)
In which a is the leading coefficient.
The roots of the function are the values of x when y = 0, hence:
x* = -4, x** = -2.
Thus:
y = a(x + 4)(x + 2)
y = a(x² + 6x + 8).
When x = 0, y = -8, hence the leading coefficient a of the function is given as follows:
8a = -8
a = -1.
Hence:
y = -x² - 6x - 8;
The missing value is the value of y when x = -1, hence:
y = -(-1)² - 6(-1) - 8
y = -3.
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help help help help pls pls
The two figures are similar. Write the similarity statement. Justify your answer using factor and showing all work. Describe (in general since it isn't on a graph) the transformations from ABC to the new figure. Please don't troll this is for a unit test!!!!
First Triangle
A to B: 40
B to C: 60
C to A: 50
Second Triangle
X to Y: 31.25
Y to Z: 25
Z to X: 37.5
Answer:
B to C;60
Step-by-step explanation:
Z to X;37.5 CORRECT ME IF IM WRONG #Carryonstudents
The radius of a circle is 13 m. Find its circumference in terms of π.
Answer:
26π
Step-by-step explanation:
radius=13
double radius to find diameter
diameter=26
equation for circumference= π×d
circumference= 26π
Daisy cream is sold in a bulk of 76 cups of cream. Kremlin cream is sold in a bulk of 4 1/2 gallons of cream. Marble cream is sold in a bulk of 40 pints of cream. Which one has the most cream?
Therefore , the solution of the given problem of unitary method comes out to be Daisy cream and Kremlin cream both have less cream per bulk 1 gallon and 4.5 gallons, respectively than Marble cream.
An unitary method is what?The objective can be accomplished by utilising what has already been discovered, taking advantage of this worldwide access, and including all essential components from earlier changeable study who employed a certain technique. If the anticipated claim outcome actually occurs, it will either be possible to contact the variable again or both important processes will undoubtedly miss the statement.
Here,
We must convert cups to gallons because daisy cream is sold in bulks of cups. Since a gallon of Daisy cream comprises 16 cups, one quantity of Daisy cream contains:
=> 16 cups per bulk = 1 gallon 16 cups per bulk = 1 gallon
Moscow cream is offered in bulk quantities of 4 1/2 gallons, which is one gallon.
Thus, we must convert pints to gallons. A gallon of Marble cream comprises eight pints, hence one quantity of Marble cream contains:
=> 40 pints in a bulk equal 1 gallon, 8 pints, or 5 gallons.
As a result, we can see that Marble cream, with 5 gallons per bulk, has the most cream.
Daisy cream and Kremlin cream both have less cream per bulk (1 gallon and 4.5 gallons, respectively) than Marble cream.
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R= {y | y is an integer and -5 ≤ y ≤ -4}
The R= {y | y is an integer and -5 ≤ y ≤ -4} is null set because there is no integers between -5 and -4.
The set is
R= {y | y is an integer and -5 ≤ y ≤ -4}
An integer is a combination of number zero, all the positive numbers and negative numbers without any fraction.
Any set that does not contains any numbers or elements is called null set, which is also called empty set or void set. Null set can be denoted as {} or ∅.
The set is R= {y | y is an integer and -5 ≤ y ≤ -4}
There is no integers between -5 and -4, therefore it is a null set
Hence, The R= {y | y is an integer and -5 ≤ y ≤ -4} is null set because there is no integers between -5 and -4.
The complete question is :
Write the set in roaster form R= {y | y is an integer and -5 ≤ y ≤ -4}
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Kendra is making a large salad for a party. She buys lettuce for $2.25 per pound and tomatoes for $2.65 per pound. She spends at
least $8.
Let x represent the number of pounds of lettuce that Kendra buys. Let y represent the number of pounds of tomatoes that Kendra
buys.
Which inequality represents this situation?
Answer:
(D)
Step-by-step explanation:
Given that Kendra is making a large salad for a party. She buys lettuce for $2.25 per pound and tomatoes for $2.65 per pound. She spends at least $8.
x represent the number of pounds of lettuce that Kendra buys and y represent the number of pounds of tomatoes that Kendra buys.
We are to select the inequality that represents the situation.
We have
total amount of money that Kendra spends on lettuce is given by
and the total amount of money that she spends on tomatoes is
Therefore, the inequality can be written as
Thus, option (D) is CORRECT.
What is the size of a terabyte?
Find parametric equations for the curve with the given properties.
The line with slope 1/2, passing through (1, -4)
Answer:
y = 1/2x -9/2
Step-by-step explanation:
y+4 = 1/2(x-1)
y = 1/2x -1/2 - 4
y = 1/2x + (-1-8)/2
y = 1/2x -9/2
The length of a rectangle is 6 inches less than twice its width, and the perimeter is 72. What
are the dimensions of the rectangle?
Answer:
Length=22 inches and width=14 inches
Step-by-step explanation:
According to the 1st condition
Perimeter=72
or, 2(l+b)=72
or, l+b=36..................equation(i)
According to second condition
l=2b-6.........................equation(ii)
Substituting the value of l form equation (i) to equation(ii)
2b-6+b=36
b=14
l=2*14-6
=22
Answer:
down below!
Step-by-step explanation:
if the: if the :
length:14 length:15
width:20 width:21
perimeter: 15+15+21+21= 72cm
please mark me as brainliest!!<3
perimeter:14+14+20+20=
68cm
)The mean voltage of a battery is 15 and S.D 0.2.Find the probability that four such batteries connected in series will have combined voltage of 60.8 or more volts
The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.
To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.
In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.
The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.
The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.
Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.
First, we need to standardize the value of 60.8 using the formula:
Z = (X - μ) / σ
Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.
In this case, the standardized value is:
Z = (60.8 - 60) / sqrt(0.16)
Z = 0.8 / 0.4
Z = 2
Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.
Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.
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round 19 to the nearest ten ( I'm running out of points)
Answer:
10
Step-by-step explanation:
.........brainliest pls
Answer:
its 20 just so you know. look at the number on the right. Higher than 5 and more, round. Lower than 4, round down
Can someone give me the answer
Answer:
20x + 5y
Step-by-step explanation:
20(number of lawns) + 5(number of bushes)
Answer: I think the answer is C. 20x+5y
the sum of two numbers is 48.
the second number is seven times the first number
Answer:
\(\huge\boxed{\sf x =6,\ y = 42}\)
Step-by-step explanation:
Let the numbers be x and y
Given condition:x + y = 48 --------(1)
y = 7x -------------(2)
Put Eq. (2) in (1)
x + 7x = 48
8x = 48
Divide 8 to both sides
x = 48/8
x = 6Put x = 6 in Eq. (2)
y = 7 (6)
y = 42\(\rule[225]{225}{2}\)
Assume a is the 1st number and b is the 2nd number, a + b = 48
b = 7a (the second number is seven times the first number)
a = a
So, equation: a + 7a = 48
a + 7a = 48
8a = 48
a = 6
To find b = 7 (6) = 42
Hope it helps!
wants to tile the surface of a rectangular storage case that is inches long, inches wide, and inches tall. If he uses all green tiles, how many tiles will he need?
The surface area of the rectangular prism is 396 square inches
He will need 504 tlles
What is the surface area of the rectangular prism?From the question, we have the following parameters that can be used in our computation:
7 in by 12 in by 6 in
The surface area of the rectangular prism is calculated as
Area = 2 * (7 * 12 + 7 * 6 + 12 * 6)
Evaluate
Area = 396
Hence, the area is 396 square inches
The number of tiles is 7 * 12 * 6 = 504
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Question
wants to tile the surface of a rectangular storage case that is 7 inches long, 12 inches wide, and 6 inches tall. If he uses all green tiles, how many tiles will he need?
A recipe uses 1 1/4 cupz of milk to make 10 servings. If the same amoumt of milk is used for each serving, how many servings can be made using 1 gallon of milk?
Answer:
128 servings.
Step-by-step explanation:
1 Gallon = 16 Cups
16/1.25 = 12.8
12.8 * 10 = 128 Servings.
Does (3,-2) lie on the on the equation r=(2,1) + t (1,-3)
No, the point (3,-2) does not lie on the on the equation r=(2,1) + t (1,-3).
What is a straight line?It is the minimum distance shown between two extremes points with no curves. It is of infinite length when the extremes points are at infinite distance.
Given extremes points:
r(2,1) and t(1,-3)
The equation of the line becomes:
\((y - y_{2} ) = \frac{y_{2} - y_{1} }{x_{2} - x_{1} } (x - x_{2} )\)
\((y - (-3) ) = \frac{-3 - 1 }{1 - 2 } (x - 1 )\)
\((y + 3 ) = \frac{ -4 }{-1 } (x - 1 )\)
\((y + 3 ) = 4 (x - 1 )\\y = 4x - 4 -3\\y = 4x -7\)
\(y - 4x + 7 = 0\)
Now put the given point (3, -2) and check whether it satisfices the line equation or not:
\(-2 - 4(3) + 7 = -7\) ≠ 0
Hence the line equation is not satisfices, RHS and LHS are different, therefore the point (3, -2) not lie on the given equation.
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What is the awnser to this if you get it right I will mark you
I think it's D. 48 ft²
because 8 × 6 is 48
y = 3x - 3 y = x2 + 5x - 2
Answer:
The answer is
(0 , 0)
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.
explain 3 factors that should be considered in the construction of index numbers
1. selection of index number: during the construction of index number it is to be kept in mind that the selection of the index number should be correct accordingly.
2. selection of formula: while the construction of index numbers it is compulsory to select the correct formula for the given question.
3. selection of price: selection of prices should be done accordingly while constructing the index numbers.`
construction of index number is also available in two parts:
1. simple
2. weighted
1. simple: the simple method is classified into simple aggregative and simple relative.
2. weighted: the weighted method is classified into a weighted aggregative and weighted average.
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Graph h(x)=3cos(2x)−1.
Use 3.14 for π.
Step-by-step explanation:
the answer is in the attachment
Answer:
The right answer is in yellow.
Step-by-step explanation:
Took the quiz :)
Write the systems of equations from the table below and find the solution?
The system of equations is y = 4x - 3 and y = -1/3x + 4 and the solution is (21/13, 45/13)
How to determine the system of equations?From the question, we have the table of values as the parameters that can be used in our computation:
From the table, we have
Table 1
(x, y) = (0, -3) and (4, 13)
A linear equation is represented as
y = mx + c
Where
Slope = m
c = y when x = 0
This means that
c = -3
So, we have
y = mx - 3
The point (4, 13) implies that
13 = m * 4 - 3
So, we have
4m = 16
m = 4
So, the equation is
y = 4x - 3
Table 2
(x, y) = (0, 4) and (4, 6)
A linear equation is represented as
y = mx + c
This means that
c = 4
So, we have
y = mx + 4
The point (4, 6) implies that
6 = m * 4 + 4
So, we have
4m = -2
m = -1/3
So, the equation is
y = -1/3x + 4
Substitute y = -1/3x + 4 in y = 4x - 3
-1/3x + 4 = 4x - 3
So, we have
-x + 12 = 12x - 9
Evaluate the like terms
13x = 21
Divide
x = 21/13
y = -1/3x + 4 implies that
y = -1/3 x 21/13 + 4
So, we have
y = -7/13 + 4
Evaluate
y = 45/13
So, the solution is (21/13, 45/13)
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10. When there are 12 observations in a small sample, the median is calculated by
a. the sixth position of an ascending sorted data
b. the average value of the sixth position and the seventh position of an ascending sorted d
c. the sixth position of the data as they were presented without sorting
d. the average value of the sixth position and the seventh position of the data as they were
sented without being sorted
When there are 12 observations in a small sample, the median is calculated by: b. the average value of the sixth position and the seventh position of an ascending sorted.
What is a median?In Mathematics, a median can be defined as the middle number (center) of a sorted data set, which is when the data set is either arranged in a descending order from the greatest to least or an ascending order the least to greatest.
How to calculate the median number of 12 observations?First of all, we would sort the 12 observations from the least to greatest as follows:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12.
The median for 12 observations is the average of the 6th and 7th number:
Median = (6 + 7)/2
Median = 13/2
Median = 12.5.
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Circe P has a circumference of approximately 75
inches
What is the approximate length of the radius, 1? Use
3.14 for Round to the nearest inch
12 inches
24 inches
38 inches
46 inches
Step-by-step explanation:
circumference=pi2r
75=pi2r
37.5=pi×r
37.5÷pi=r
11.9366
12 inches
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Choose the correct graph of the function