A rectangle has a perimeter of 64.
Let x equal the width of the rectangle.
Let y equal the area of the rectangle.
Which equation can be used to find the area of the rectangle?
A. y = x² - 64x
B. y = -x² + 64x
C. y = x² - 32x
D. y = -x²+ 32x
Answer:
You can use option (D) to find the area of rectangle
(D) y = - x²+32x
Step-by-step explanation:
If you can substitute your values you can find your answer
THANK YOU....
PLZZ GIVE ME A BRAINLIEST TAG
The expression for the given rectangle with width x and area y is\(y = -x^{2} +32\)
it is given that
area of the rectangle = y
width of the rectangle = x
so the length of the rectangle will be = area/width = \(\frac{y}{x}\)
perimeter = 64
What is the perimeter of a rectangle?Perimeter is the sum of all four sides of the rectangle.
we can say that,
2(length + breadth) = 64
\(2( \frac{y}{x} + x)=64\\\\\)
\(\frac{y}{x} + x= 32\)
\(\frac{y + x^{2} }{x} = 32\)
\(y+x^{2} = 32x\)
\(y = -x^{2} +32\)
therefore, the expression for the area of the rectangle,
\(y = -x^{2} +32\)
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Li has n points, jamie has 7 more than 5 times the number of points li has37 marbles. How many marbles does Parmit have?
Jamie has 7 more than 5 times the number of points Li has, which is 5n + 7. Therefore, Parmit has 7 marbles.
Parmit has 7 marbles.
Li has n points. Jamie has 7 more than 5 times the number of points Li has, which is 5n + 7.
Therefore, Parmit has 7 marbles.
Li has an unknown number of points, denoted as n. Jamie has 7 more points than the product of 5 and Li's points, meaning that Jamie has 5n + 7 points. Since we know that Jamie has 37 marbles and Li has n points, Parmit has 7 marbles. This can be calculated by subtracting the sum of Li's points and Jamie's points from the total number of marbles. Therefore, Parmit has 7 marbles.
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Alex has 10 different kinds of lunch meat and 9 different kinds of cheese. If he wants to make a sandwich with one kind of meat and two kinds of cheese, how many different sandwiches could he make
Alex can make a total of 180 different sandwiches by choosing one kind of meat from 10 options and two kinds of cheese from 9 options.
To determine the number of different sandwiches Alex can make, we need to consider the combinations of meat and cheese. Since Alex can choose one kind of meat from 10 options, there are 10 choices for the meat component of the sandwich. For the cheese component, Alex can choose two kinds of cheese from 9 options.
To calculate the total number of combinations, we can use the formula for combinations without repetition. The formula is nCr = n! / (r!(n-r)!), where n is the total number of options and r is the number of choices. In this case, n is 9 (number of cheese options) and r is 2 (number of cheese choices). Thus, the number of combinations of two kinds of cheese is \(9C2\)= 9! / (2!(9-2)!) = 36.
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I need help with this problem someone please help me
Answer:
67
180-46=134
134/2=67
Factor this trinomial: 6x^2-13x-5
Please show all work, I give brainliest
Answer:
(2x-5)(3x+1)
Step-by-step explanation:
make brackets:
( )( )
( )( )
we no that since there is two minuses in the trinomial there will be one - and one +
there are two beacause 6 is 6*1 and 2*3
(2x- )(3x+ )
(6x+ )(1x- )
now use some ingenuity to find where 5 and 1 should go to complete
(2x-5)(3x+1)
(2x+5)(3x-1)
(2x-1)(3x+5)
(2x+1)(3x-5)
the first binomial is the answer
2x*3x = 6x^2
-5*+1 = -5
2x*1 = 2x
3x*-5 = -15x
6x^2 +2x - 15x - 5
6x^2 - 13x - 5
a department store chain is expanding into a new market, and is considering 24 different sites on which to locate 6 stores. assuming that each site is equally likely to be chosen, in how many ways can the sites for the new stores be selected? a) 144 b) 96,909,120 c) 168 d) 134,596 e) 30 f) none of the above.
Option b. 96,909,120 is the correct answer. The number of ways in which the new site can be chosen to locate 6 stores in 96,909,120 ways
We can find the number of ways by multiplying the number of possibilities each store can have.
Store 1, can be placed on 24 sites. Store 2 can be placed on 23 sites (since store 1 is already on site 1). Store 3 can be placed on 22 sites. Store 4 can be placed on 21 sites. Store 5 can be placed on 20 sites. Store 6 can be placed on 19 sites
Therefore the number of ways is:
C = 24 * 23 * 22 * 21 * 20 * 19
C = 9,69,09,120 possibilities
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Serenity filled up her car with gas before embarking on a road trip across the country. Let � G represent the number of gallons of gas remaining in her gas tank after driving for � t hours. A graph of � G is shown below. Write an equation for � G then state the � y-intercept of the graph and determine its interpretation in the context of the problem.
The equation is: G = -⁵/₄t + 15
The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.
How to find the linear equation of the graph?The formula for the equation of a line in slope intercept form is:
y = mx + c
where:
m is slope
c is y-intercept
From the graph, we see that:
y-intercept = 15 gallons
Now, the slope is gotten from the formula:
Slope = (y₂ - y₁)/(x₂ - x₁)
Slope = (10 - 5)/(4 - 8)
Slope = -⁵/₄
Thus, equation is:
G = -⁵/₄t + 15
The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.
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Which number is equal to four and one-sixth?
four and sixteen hundredths with the six repeating
six twenty-fifths
4.2
416%
Answer:
4.2
Step-by-step explanation:
Four and one-sixth is equal to 4.2. One-sixth is the same as 1/6, which is equal to 0.16666666666666666. When you add this fraction to 4, you get 4.166666666666667, which can be rounded to 4.2. Four and sixteen hundredths is equal to 4.16, which is close to 4.2 but not exactly the same. Six twenty-fifths is equal to 0.24, which is also not equal to 4.2. 416% is equal to 4.16, which is also not equal to 4.2.
Which of the following are necessary
Step-by-step explanation:
B) opposite sides are congruent !!!!!!
PLEASE HELP!! pic attached (30 points)
Answer:
Step-by-step explanation: the answer to all of them is b&:&3$,48x
And balls in ur jaws. Ur welcome
When a shoulder-type eyebolt is pulled at an angle, which one of the following is not correct
Without the specific options provided, it is challenging to determine which statement regarding a shoulder-type eyebolt being pulled at an angle is incorrect.
I can provide some general information about shoulder-type eyebolts and their behavior when subjected to forces at an angle.
A shoulder-type eyebolt is pulled at an angle, several factors come into play that can affect its performance.
Here, I will discuss four aspects related to the behavior of shoulder-type eyebolts under such circumstances.
Load Capacity:
A shoulder-type eyebolt is designed to withstand vertical loads.
When a load is applied at an angle, it introduces a shear force component that the eyebolt may not be able to handle.
This can potentially reduce its load capacity and compromise its integrity.
Misalignment:
Pulling the eyebolt at an angle can cause misalignment between the load and the axis of the eyebolt.
This misalignment can lead to increased stress concentration on certain parts of the eyebolt, potentially leading to failure or reduced load capacity.
Bolt Alignment:
Shoulder-type eyebolts rely on a straight line of force transmission for optimal performance.
When pulled at an angle, the bolt may experience bending or twisting forces, which can cause the load to be distributed unevenly and compromise its load-carrying capabilities.
Friction and Wear:
The shoulder of the eyebolt that rests against the load surface may experience increased friction when pulled at an angle.
This friction can result in increased wear on the shoulder, potentially reducing the overall strength and durability of the eyebolt.
It is essential to consider these factors to ensure safe and reliable use. Without further information, it is difficult to determine which of the options provided is not correct, as the context of the options is not given.
The behavior of shoulder-type eyebolts when pulled at an angle is influenced by factors such as load capacity, misalignment, bolt alignment and friction.
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Revani has 120 coins. Of the coins, 2/6 are nickels, 2/6 are dimes, and the rest are
quarters. What is the ratio of Revani's nickels to dimes to quarters? please do step by step
Thank you!!
Answer:
1 : 1 : 1
Step-by-step explanation:
You want the ratio of nickels to dimes to quarters if 2/6 of 120 coins are nickels, 2/6 are dimes, and the rest are quarters.
RatiosThe fraction that are quarters is ...
1 - 2/6 - 2/6 = 1 - 4/6 = 2/6
Then the ratio of nickels to dimes to quarters is ...
2/6 : 2/6 : 2/6
We can simplify this ratio by multiplying it by 3:
3(2/6) : 3(2/6) : 3(2/6) = 1 : 1 : 1
The ratio of nickels to dimes to quarters is 1 : 1 : 1.
__
Additional comment
We can find the number of nickels to be 120·(2/6) = 40. The number of dimes is the same fraction, so the same number. When those 40+40=80 coins are subtracted from 120, we find there are also 40 quarters. For this problem, we don't actually need to know those values.
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In this problem, you will investigate the lateral and surface area of a square pyramid with a base edge of 3 units.
d. Analytical Make a conjecture about how the lateral area of a square pyramid is affected if both the slant height and the base edge are tripled. Then test your conjecture.
If both the slant height and base edge of a square pyramid are tripled, the lateral area will increase by a factor of 9.
The lateral area of a square pyramid can be calculated using the formula: Lateral Area = 2 × base edge × slant height.
Let's denote the original base edge as "b" and the original slant height as "s".
The original lateral area, LA1, can be expressed as: LA1 = 2bs.
Now, if we triple both the base edge and slant height, we get: New base edge = 3b and New slant height = 3s.
The new lateral area, LA2, can be expressed as: LA2 = 2(3b)(3s) = 18bs.
Comparing LA2 to LA1, we find that LA2 is 9 times larger than LA1, indicating that the lateral area has increased by a factor of 9.
Therefore, the conjecture is that if both the slant height and base edge of a square pyramid are tripled, the lateral area will increase by a factor of 9.
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A water tank in the shape of a rectangular has a volume of 900 cubic feet. It is 15 feet
long, 10 feet wide. What is the height of the water tank?
HELP PLEASE
i will give u brainliest
Answer:
11.6404467268 ——> 11.64
Step-by-step explanation:
Since ur only in hs, there are no steps for this. Simply press the square root button on ur calculator and voila! Thx for the brainliest :)
Martin charges $10 for every 5 bags of leaves he rakes. Last weekend, he raked 26 bags of leaves. How
much money did he earn?
Answer:
52 or 50 depending on how your teacher wants it
Step-by-step explanation:
first we want to find out how many sets of 5 there are, this answer will be different deepening on how you want it answered
26/5=5.2
5.2*10=52
not quite sure but it's $52 if he can charge per bag on top of the 5 or 50 if he is only charging per 5 bags
if he only charges for 5 bags we do 26/5=5.2 so round down to 5 then 5*10=50
hope this helps
Choose the equations that are not linear equations.
x/2-y^3=1
-x-y= 2
x^2+y=4
x=5
Answer: x/2-y^3=1 & x^2+y=4
Step-by-step explanation:
5(2a - 6) what is the answer
Carl spent $140 in six days. He spent $20 on the first day. He spent the same amount of money during the next five days Helpppp! 100 POINTS
Answer:
He spent $24
Step-by-step explanation:
it is 24
hope it helps
What are mathematical formulas placed in software that performs an analysis on a data set?
a. algorithm
b. intelligence
c. analytics fact
(A) Algorithms are mathematical formulas placed in software that performs an analysis on a data set.
What is an Algorithm?Algorithms are mathematical algorithms that are used in software to analyze data sets. An algorithm is a finite sequence of strict instructions used to solve a class of specialized problems or to execute a computation in mathematics and computer science. Algorithms serve as specifications for calculating and processing data. Algorithms can utilize artificial intelligence to perform automatic deductions and use mathematical and logical checks to reroute code execution down various paths. Alan Turing pioneered the use of human traits as metaphorical descriptors of machines with terminology like "memory," "search," and "stimulus."
Therefore, (A) algorithms are mathematical formulas placed in software that performs an analysis on a data set.
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50 students were surveyed about their favorite food. 24 students picked pizza. Based on these results predict how many students out of 1,000 would pick pizza?
Answer:
480/1000
Step-by-step explanation:
1,000 divided by 50 is 20 and 24x20=480
You multiply 24 by 20 because you need to add 24 for every 50 students which is 20 times, and you'll need to add by 50 to get to 1,000. Multipling and dividing is the fastest option.
Solve the inequality for x
Answer:
answer recent question of my pr.ofil.e
Answer:
x ≥ -1
Step-by-step explanation:
Hello!
Solve for x by isolating the variable.
Solve for x-1 ≤ 5x + 4 => subtract 4 from both sidesThe inequality is true for all values of x greater than or equal to -1.
Which equation describes the line with a slope of -3 that contains the point (2,4)?
Answer: y = 2x - 11
Step-by-step explanation:
A linear equation has the following form.
y = a . x + b
where,
y: independent variable
a: slope
x: independent variable
b: y-intercept
The slope is 2, so a is 2. The ordered pair (4, -3) means that when x takes the value 4, y takes the value -3. We can replace these values in the general equation to find the y-intercept.
y = a . x + b
-3 = 2 . 4 + b
b = -11
The linear equation is
y = 2x - 11
Answer:
C. is the correct option
Step-by-step explanation:
When we find the equation using the point and slope formula, we get y=-3x+10
As you can see, that doesn't match any of the answers, since it is in the point-slope formula.
We can start solving all the equations to rule out the correct one, but to save yourself from reading all of this, I'll just do there C.
For this equation, we will distribute the 3, and then add 4 to both sides.
y-4=-3(x-2) ---> y-4=-3x+6 ---> y-4(+4)=-3x+6(+4) ---> y=-3x+10
This leads back to the original equation so we know it is correct.
the great pyramid of king khufu was built of limestone in egypt over a 20-year time period from 2580 bc to 2560 bc. its base is a square with side length 756 ft and its height when built was 481 ft. (it was the tallest man-made structure in the world for more than 3800 years.) the density of the limestone is about . (a) estimate the total work done in building the pyramid. (b) if each laborer worked 10 hours a day for 20 years, for 340 days a year, and did of work in lifting the limestone blocks into place, about how many labor?ers were needed to construct the pyramid
Volume = (571,536 sq ft × 481 ft) / 3 = 91,227,792 cubic ft
What is Limestone?
Calcium carbonate is one of the most commonly found materials in limestone rocks. Composition of calcium and magnesium as commonly produced from fossils, shells and debris.
(a) To estimate the total work done in building the pyramid, we need to calculate the gravitational potential energy of the pyramid. Gravitational potential energy is given by the formula:
Potential Energy = Mass × Gravity × Height
To calculate the weight of the pyramid, we need to determine its volume and density. The volume of a square pyramid is given by:
Volume = (base area x height) / 3
The base area of the pyramid is given by:
Area of base = length of side × length of side
Let's calculate the values step by step:
Base area = 756 feet x 756 feet = 571,536 square feet
Volume = (571,536 square feet × 481 feet) / 3 = 91,227,792 cubic feet
Next, we need to convert volume to mass using density. However, the given information lacks the density of limestone. Could you please provide the density of the limestone so I can proceed with the calculation?
(b) Once we have the density of the limestone, we can estimate the number of workers needed to build the pyramid.
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Combine and simplify the following radical expression. (2^3 square root 12)(3^3 square root 2)
Answer:
(2^3 square root 12)(3^3 square root 2)(32 square root)
Step-by-step explanation:
i lie
Answer:
432
Step-by-step explanation:
I checked it trust me
Choose the value of x for f(x)= x^2-3x when f(x) = 10.
Answer:
f(10)=70
Step-by-step explanation:
\(f(x)=x^{2} -3x\\f(10)=10^{2} -3(10)\\f(10)=100-30=70\)
will mark brainliest!!!
Let g be a polynomial function of x where g(x) = 2x^3 + 5x^2 - 28x - 15. If (x-3) is a factor of g, write an equation for g as the product of linear factors.
I need this as soon as possible
Answer:
g(x)= (2x - 1) • (x + 3) • (x - 5)
Step-by-step explanation:
2x³ + 5x² - 28x - 15 as the product of linear factors is (x - 3)(2x + 1)(x + 5)
Polynomial is an expression involving the operations of addition, subtraction, multiplication of variables.
Types of polynomials are quadratic, linear, cubic and so on.
Since x - 3 is a factor of 2x³ + 5x² - 28x - 15, hence 2x³ + 5x² - 28x - 15 divided by x - 3 gives 2x² + 11x + 5:
2x³ + 5x² - 28x - 15 = (x - 3)(2x² + 11x + 5) = (x - 3)(2x + 1)(x + 5)
Hence, 2x³ + 5x² - 28x - 15 as the product of linear factors is (x - 3)(2x + 1)(x + 5)
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Flora made 6 withdrawals of $50 each from her bank account. What was the overall change in her account?
Answer:
-$300
Hope this helps : )
Answer:
$300 out of account
Step-by-step explanation:
withdrawals are taking out the money
6*50=300
so she takes out 300 dollars from her account
Please please help!!
Answer:
y +4 = 1/5(x +5)
Step-by-step explanation:
The equation of a line with slope m through point (h, k) in point-slope form is ...
y -k = m(x -h)
You have m=1/5, (h, k) = (-5, -4). Putting these values into the formula gives ...
y -(-4) = (1/5)(x -(-5))
y +4 = 1/5(x +5)
There are 5 lunch choices in a hospital cafeteria: Salad, Pizza, Spaghetti, Sub Sandwiches and Soup. The percentage of people that chose Pizza is 25%. If 50 people chose pizza, what is the total number of people at ate lunch?
Answer:
75
Step-by-step explanation: