the sides of a rectangle are the ratio 2:5. (for every 2cm of the width, the length is 5cm) the perimeter of the rectangle is 70cm. what is the with of thr rectangle?
70 POINTS!!!! PLEASE HELP!! I WILL MARK. BRAINLIEST!!
Write the trinomial as a square of a binomial or as an expression opposite to a square of a binomial:
a. 4cd –25c^2–0.16d^2
b. –0.49x^2–1.4xy –y^2
The value of equation A = - ( 5c - 0.4d )²
The value of equation B = - ( 0.7x + y )²
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first equation be represented as A
Now , the value of A is
A = 4cd - 25c² - 0.16d² be equation (1)
On simplifying the equation , we get
A = - ( 25c² - 4cd + 0.16d² )
On factorizing the equation , we get
A = - ( 5c - 0.4d )²
Therefore , the value of A is - ( 5c - 0.4d )²
Let the second equation be represented as B
Now , the value of B is
B = -0.49x² - 1.4xy - y² be equation (1)
On simplifying the equation , we get
B = - ( 0.49x² + 1.4xy + y² )
On factorizing the equation , we get
B = - ( 0.7x + y )²
Therefore , the value of B is - ( 0.7x + y )²
Hence , the equations are solved
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find the height of each pyramid hexagonal pyramid: volume 1320 ft cubed area of the base 120 ft squared
Answer:
oiuy
Step-by-step explanation:
2498
Ronnie, Mack, Kim, and Ada together stacked a total of 40 pizzas in a pan. Ronnie stacked 0.25 of the pizzas, Mack stacked 9 of the 40 pizzas, Kim stacked 35% of the pizzas, and Ada stacked the remaining pizzas. Who stacked the most pizzas?
Answer:
Kim stacked the most pizzas since she stacked 14 of them.
Step-by-step explanation:
apply the distribution property to produce an equivalent expression 2(7g + 7)
Louie has 20 more than twice as many baseball cards as Gerarardo does. Together they have at least 350 cards.At least how many baseball cards does Gerardo have?
what is the area of a regular hexagon with a radius of 14 inches
A circle has a circumference of 361π. What is the diameter of the circle?
The formula to find circumference of circle is given by
[tex] C = 2\pi r [/tex]
Where r is radius of circle and pi =3.14
We are given Circumference here as 361π
Plugging the value in the formula :
[tex] 361\pi = 2\pi r [/tex]
r=361/2 = 180.5
radius of circle is 180.5.
We know that Diameter is double of radius.
So diameter = 2*180.5 = 361
Answer : diameter of circle is 361.
There are 108 flights from an airport, 20 of which are longer than 3 hours. The flight from this airport will be randomly chosen. What is the probability it is longer than 3 hours? Enter your answer as a fraction, in simplest form, in the box.
The required solution of the probability it is longer than 3 hours is 5/27.
What is probability?
probability is the ratio of the number of favorable outcomes and the total number of possible outcomes. The chance that a particular event (or set of events) will occur expressed on a linear scale from 0 (impossibility) to 1 (certainty), also expressed as a percentage between 0 and 100%.
Given:
There are 108 flights from an airport, 20 of which are longer than 3 hours.
According to given question we have
By the use of probability we get,
the probability it is longer than 3 hours
=20/108
By simplifying we get
=5/27
Therefore, the required solution of the probability it is longer than 3 hours is 5/27.
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In preparation for the Senior Prom, 8 seniors got together and decided to travel in style and rent a limousine. They investigated and found a company that would rent the limousine for a minimum charge of $180 for the first 3 hours and $30 per hour thereafter. They estimated that they needed to be picked up at 8:00 p.m. and be back by 1:00 a.m. How much money would each student have to pay if they planned to leave the limousine driver a $20.00 tip?
Each student would have to pay__________.
Susan is drawing a triangle. The first segment she draws is 6 centimeters in length, and the second segment is 8 centimeters long. The measure of the angle between those two segments is 80°. Which best describes the length of the third segment?
A) equal to 14 centimeters
B) less than 14 centimeters
C) greater than 14 centimeters
D) greater than or equal to 14 centimeters
Answer:
The answer is B) less than 14 centimeters
Step-by-step explanation:
Bethany, Lauren, Amanda, and David all meet at a family reunion. They are comparing their ages. They have found that Lauren is 13 years older than Bethany and David is 11 years older than Amanda. They also found that the product of Bethany's and Lauren's ages is equal to twice Amanda's age. Also, if they subtract 20 years from both Bethany's and Lauren's age, the product is equal to David's age.
What is the volume of the cone show your work
Joint-Serve Prosthetics spends 43% of its total expenses for payroll. It increased its total expenses when it spent $250,000 for robotic assemblers. This changed the allocation for payroll to 38% of total expenses. What were its total expenses after purchasing the robotic assemblers? Hint: First find the total expense before the purchase of robotic assemblers.
what is the circumternence
write the expression in complete factored form q^2(p+1)+3(p+1)
How much longer is a 1 inch button that 3/8 inch button
URGENT algebra 2 B
Write an equation that expresses the grips weight of an aircraft as a function of its landing speed !
mr.kiniston jogged how many miles
Suppose that x is normally distributed with a mean of 10 and a standard deviation of 3. find p(x ≤ 6). note: round your answer, if necessary, to two places after the decimal. please express your answer with two places after the decimal.
The acceleration due to gravity is the constant of variation. What is the acceleration due to gravity of a falling object? 4.9 9.8 10.2 19.6
Final answer:
The acceleration due to gravity on Earth is approximately 9.80 m/s² and is symbolized as g, which represents a constant rate of acceleration for free-falling objects in the absence of air resistance.
Explanation:
The acceleration due to gravity is a constant that plays a fundamental role in physics, particularly when discussing free-fall motion. On Earth, the acceleration due to gravity of a falling object, when air resistance is negligible, is approximately 9.80 m/s². This value, denoted by the symbol g, is used to calculate various parameters in the kinematic equations of motion for an object subject only to the force of gravity.
Mr. Nelson’s Shoes Mr. Nelson manages a shoe store. One day a man came into the store right after it opened and before Mr. Nelson had a lot of change in the register. The man purchased a pair of shoes that cost $80 and gave Mr. Nelson a $100 bill. Mr. Nelson did not have change, so he went next door and exchanged the $100 for five $20 bills. He gave the customer his shoes and $20 in change. Later, the cashier next door heard there were some counterfeit bills being passed, so she asked Mr. Nelson for five $20 bills, which Mr. Nelson now had, in trade for the $100 bill. Shortly after that the police arrived and determined that the $100 bill was counterfeit and confiscated it. Who lost money? How much money?
A scatter plot is shown. Data points are located at 1 and 9, 3 and 5, 5 and 6, 4 and 4, 2 and 7, and 6 and 4. A line of best fit crosses the y-axis at 10 and passes through the point 6 and 4. How many hours will Sherwin most likely sleep if he consumes 9 cups of coffee? 1, because y = −x + 10 2, because y = −x + 10 9, because y = −x + 10 10, because y = −x + 10
Answer:
if he consume 9 cups of coffee, Sherwin will most likely sleep 1 hour.
1, because y = -x + 10
2 1/4 was subtracted twice from a number; then 1/8 was subtracted three times and 2/3 was subtracted twice. The resulting number is 3 11/24 . Find the number
Answer:
9 2/3
Step-by-step explanation:
At noon a tree cast a shadow that is 40' long the distance from the top of the tree to the 1st tip of the shadow is 60' what is the height of the tree round to the nearest 100th
Henry usually has about $300 in his account at any given time during the month. He limits his ATM visits to one per week and is interested in banking online options. Bank X and Bank Z have 5 ATMs within a 5 mile radius of Henry’s work and his new home. Which bank should he choose? a. Bank X b. Bank Y c. Bank Z d. Bank X and Z
Which equation is the inverse of y = 9x^2 - 4?
The inverse of
[tex]y = 9x^2 - 4[/tex]can be mathematically given by y = +/- sqrt((x + 4) / 9), yet it is not considered a function because it does not pass the horizontal line test.
Explanation:The inverse of a function flips the x and y values such that each x becomes a y and vice versa. However, it's important to mention that not all functions have an inverse that is also a function. Your provided function,
[tex]y = 9x^2 - 4[/tex], is a quadratic function (a type of polynomial function), and it does not have an inverse that can also be called a function because it does not pass the horizontal line test.
Yet, mathematically it can be found by swapping x and y and solving for y. If we do that, we have:
Switch the roles of y and x, we get: x = [tex]9y^2 - 4[/tex].Solving for y, we have: y = +/- sqrt((x + 4) / 9), where "sqrt" denotes the square root.Again, this is not a function due to the presence of the plus/minus symbol.
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There are 19.6.grams of protein in 4 ounces of cashews. About how many gram of protein are in one ounce of cashews?
Final answer:
To find the protein content in one ounce of cashews, divide 19.6 grams by 4 ounces, resulting in approximately 4.9 grams of protein per ounce.
Explanation:
To find out how many grams of protein are in one ounce of cashews, we need to divide the total amount of protein by the number of ounces. Given that there are 19.6 grams of protein in 4 ounces of cashews, we can calculate the amount of protein in one ounce by performing the following calculation:
Amount of protein in one ounce = Total grams of protein / Number of ounces
Amount of protein in one ounce = 19.6 grams / 4 ounces
Amount of protein in one ounce = 4.9 grams
Therefore, there are approximately 4.9 grams of protein in one ounce of cashews.
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Write an equation of the line that passes through the points.
(2, 5), (0, 5)
The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation and Helena claims that point-slope form will find the equation. Who is correct? Explain your reason by describing both forms.
Sample Response: Both are correct. Using either form will result in the same equation. The slope-intercept form uses slope and a point to find the y-intercept. Point-slope form uses the slope and a point to solve for y to generate the equation.