Haz un diagrama representando el rectángulo para visualizar la situación:
Observa que el rectángulo tiene dos lados que miden (x+4) y dos lados que miden (3x-2y). Por otro lado, el perímetro del rectángulo es igual a la suma de las longitudes de sus cuatro lados. Por lo tanto, el perímetro de este rectángulo está dado por la siguiente expresión:
\(P=(x+4)+(x+4)+(3x-2y)+(3x-2y)\)Simplifica la expresión anterior sumando términos semejantes:
\(\begin{gathered} \Rightarrow P=x+4+x+4+3x-2y+3x-2y \\ =x+x+3x+3x-2y-2y+4+4 \\ =8x-4y+8 \end{gathered}\)Por lo tanto, el perímetro del rectángulo, es:
\(P=8x-4y+8\)
When Nathaniel left his house in the morning, his cell phone battery was partially
charged. The charge remaining in Nathaniel's battery, as a percentage, can be
modeled by the equation B = 52 - 6.5t, where t is the number of hours since
Nathaniel left his house. What is the slope of the equation and what is its
interpretation in the context of the problem?
Answer:
Slope -6,5
Step-by-step explanation:
Slope of the equation is -6.5 which is mean that every our his battery lose 6.5 percent of charge. 52 represent here the percentage of battery at the time he left the house.
Which graph best represents the function f(x) = 10 ?
See the attached graph.
The seventh-grade class supplied bags of snacks and beverages for the school dance. They supplied 50 more beverages than bags of snacks. The dance was supplied with a total of 400 items. How many of each were supplied.
A) Define the variables.
B) Write a systems of equations for the situation.
C) Graph the system.
Answer:
C
Step-by-step explanation:
Hope this help and have a nice day
This recipe makes 5 portions of porridge. Complete the amount of each ingredient that is needed to make just 2 portions. Recipe: Serves 5 250 g oats 1.4 litres milk 90 g sugar
DO THIS NOW URGENTLY
The amount of ingredient that is needed to make just 2 portions are:
100 grams of oats0.48 liters of milk36 grams of sugar.What does a Portion mean?Generally, the term "portion" refers to how much food is served to you or how much you eat. Portion sizes can differ from meal to meal. For example, you might serve yourself two small pancakes in one portion at home, but at a restaurant, you might get a stack of four pancakes as one portion.
Data
Needed 2 portions
Recipe: 250 g oats, 1.4 litres milk, 90 g suga
Portion of Oat:
250/5 * 4 = 50 *2 = 100g oats
Portion of milk:
1.2/5 * 2 = 0.48l milk
Portion of sugar:
90/5 * 2 = 18*2 = 36g sugar
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(d) Find the domain of function R. Choose the correct domain below.
Answer:
d
Step-by-step explanation:
The number of years must be non-negative. This eliminates all of the options except for d.
Jan went to the mall to buy 9 crop tops but she seen 201 other and she 1,000,000,000,000,000,000,000,00 dollars
Answer: buy all the crop tops
Step-by-step explanation:
Answer:
Well with that amount of money u should most definitely buy them, if you liked the of course
Step-by-step explanation:
I'm just saying
PLZ I NEED HELP A crate of bananas has a mass of 674.8 dekagrams. What is the mass of the crate of bananas in centigrams? Use the metric table to help answer the question.
Metric Table
kilo-
hecto-
deka-
unit
deci-
centi-
milli-
1,000
100
10
1
0.1
0.01
0.001
a.0.6748 centigrams
b.6.748 centigrams
c.67,480 centigrams
d.674,800 centigrams
Answer:D
Step-by-step explanation:
Answer:
b i think
Step-by-step explanation:
If f(x)= x^3 + 6x^2 - 9x + 14 and x-2 is a factor of f(x), then find all of the zeros of f(x) algebraically.
Answer
Write properties of function:
x intercept/zero: \(x_1=-7\); \(x_2=-1\); \(x_3=2\)
factorized form: \(f(x)=(x+1)(x-2)(x+7)\)
Explanation
Write properties of function: Write properties of function:
x intercept/zero: \(x_1=-7\); \(x_2=-1\); \(x_3=2\)
factorized form: \(f(x)=(x+1)(x-2)(x+7)\)
Answer: Write properties of function:
x intercept/zero: \(x_1=-7\); \(x_2=-1\); \(x_3=2\)
factorized form: \(f(x)=(x+1)(x-2)(x+7)\)
Could someone please help with this?
9514 1404 393
Answer:
5. 88.0°
6. 13.0°
7. 52.4°
8. 117.8°
Step-by-step explanation:
For angle A between sides b and c, the law of cosines formula can be solved to find the angle as ...
A = arccos((b² +c² -a²)/(2bc))
When calculations are repetitive, I find a spreadsheet useful. It doesn't mind doing the same thing over and over, and it usually makes fewer mistakes.
Here, the side opposite x° is put in column 'a', so angle A is the value of x. The order of the other two sides is irrelevant.
__
Additional comment
The spreadsheet ACOS function returns the angle in radians. The DEGREES function must be used to convert it to degrees. The formula for the first problem is shown here:
=degrees(ACOS((C3^2+D3^2-B3^2)/(2*C3*D3)))
As you can probably tell from the formula, side 'a' is listed in column B of the spreadsheet.
The spreadsheet rounds the results. This means the angle total is sometimes 179.9 and sometimes 180.1 when we expect the sum of angles to be 180.0.
200 divided by 60 for example there are 200 milk cartens each one has 60 milk containers how many milk containers exactly are in the cartens
Answer:
12,000 containers
Step-by-step explanation:
Given : 200 milk cartens are there
60 milk cantainers are there in each cartens.
to find are there in all
200 × 60 = 12,000 containers in all
Pls can someone answer how to round 5pi to the nearest 10th I’ll give you brain points or whatever
Answer:
Step-by-step explanation:
5\(\pi\)=15.70...
To round a number to the nearest tenth , look at the next place value to the right (the hundredths)which is 0 in this question.
Thus, it will become 15.7
The circumference of the circle is 5π mm or 15.7 mm if the diameter of the nickel (circle) is 5 millimeters.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
It is given that:
The diameter of the nickel (circle) is 5 millimeters
D = 5 millimeters
The circumference of the circle = πD
Plug D = 5 millimeters in the above formula:
The circumference of the circle = 5π mm
As we know,
π = 3.141 ≈ 3.14 (Rounded to the nearest the Hundredths Place)
The circumference of the circle = 5π = 15.70796 mm
The circumference of the circle = 15.70796 = 15.7 mm
(Rounded to the nearest Tenths Place)
Thus, the circumference of the circle is 5π mm or 15.7 mm if the diameter of the nickel (circle) is 5 millimeters.
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HELP MEEEE PLEASEEEEEEEEEEEEEE
Answer:
a = 4
Step-by-step explanation:
a^2 + b^2 = c^2
a= ?
b= 3
c= 5 (c is always the hypotenuse)
*plug in given values
a^2 + 3^2 = 5^2
a^2 + 9 = 25
-9 -9
a^2 = 16
*find the square root
sqrt(a) = sqrt(16)
a = 4
Answer:
a = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a leg b is another leg c is the hypotenuseStep-by-step explanation:
Step 1: Define
Leg a = a
Leg b = 3
Hypotenuse c = 5
Step 2: Solve for a
Substitute in variables [Pythagorean Theorem]: a² + 3² = 5²[Subtraction Property of Equality] Isolate a term: a² = 5² - 3²Evaluate exponents: a² = 25 - 9Subtract: a² = 16[Equality Property] Isolate a: a = ±4Since we are dealing with a regular right triangle and not a quadrant triangle, we use the positive root.
∴ a = 4
Which of the following effects of a BAC of .2 percent does NOT relate to one’s driving ability?
A. lack of coordination
B. Breathalyzer test results indicating a high BAC
C. Impaired gross motor skills such as walking or gestures
D. Impaired reactions
It is either between B or C.
The effect that does NOT relate to one's driving ability is breathalyzer test results indicating a high BAC. Option B.
Breathalyzer testWhile the breathalyzer test measures the blood alcohol concentration (BAC), it is a method used to determine the level of alcohol in a person's system and is commonly used in assessing impairment for driving under the influence.
Therefore, it directly relates to one's driving ability and is not excluded from the effects on driving ability caused by a BAC of .2 percent.
On the other hand, options, lack of coordination, impaired gross motor skills, and impaired reactions all directly relate to one's driving ability as they affect the physical and cognitive abilities necessary for safe and efficient driving.
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You go to a party with 500 guests. What is the probability that exactly one other guest has the same birthday as you? Calculate this exactly and also approximate by using the Poisson PMF.
The probability that exactly one other guest has the same birthday as you is 0.3483.
How does one determine probability?The number of possible outcomes is divided by the total number of possible outcomes to determine probability. Odds are not the same as probability. Odds are calculated by dividing the chance of a given event by the probability that it won't.
How do probability and an example work?The likelihood of success is a measure of probability. the number of potential outcomes. For instance, the chance of flipping a coin and obtaining heads is 1 in 2, as there is only one way to acquire a head and there are a total of 2 possible outcomes (a head or tail). We express P(heads) = 12.
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Create a line graph using this data for the snowfall, in inches, each hour of the blizzard.
The line graph using this data for the snowfall is attached below.
Hour Snowfall (in inches)
1 4
2 6
3 12
4 16
5 22
25 +--------------------------------------------------------+
| |
| |
20 + +
| |
| |
15 + +
| |
| |
10 + +
| |
| |
5 + + +
| | |
| | |
0 +--+--+--+--+--+--+--+--+--+--+--+--+--+--+--+--+--+--+--+
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
In this graph, the x-axis represents the hours (1 to 5) and the y-axis represents the snowfall in inches.
Each data point is represented by a dot on the graph, and the dots are connected by a line to show the trend of snowfall over the hours. The snowfall amounts are plotted on the y-axis corresponding to the respective hours on the x-axis.
As the hours progress, the snowfall gradually increases, resulting in a positive slope line indicating a growing amount of snowfall during the blizzard.
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Help me pleaseeeeeeeeeeeeee
Complete this sequence -5,-12,-19,-26,[??],[??]
Answer:
-33, -40
Step-by-step explanation:
If you figure out the patern here, the patern is (-7).
So I did (-26-7) which got me -33, and then did, (-33-7) which got me -40.
Hopefully this helps :)
Which graph represents the solution to |x – 3| < –4?
Answer:
|x - 3| < 4
To remove the absolute values, we need to make two inequalities, one positive and one negative
x-3 < 4 and x-3 > -4
Add 3 to each side
x-3+3<4+3 and x-3+3 > -4+3
x<7 and x >-1
-1 <x <7
Which of the following are not parts of a pyramid? diameter, altitude, radius, lateral edges, vertex.
Answer:
Radius and diameter are not part of a pyramid
Dana surveyed students in her class. She found that 8 earned an A, 6 earned a B, 4 earned a C, and 2 earned a D on the last science test. If she randomly surveys one more student from the class, what is the experimental probability that the student would have earned an A on the test.
Answer:
0.4 or 2/5
Step-by-step explanation:
Dana surveyed 20 students in total and out of those 20 only 8 got an A
so:
\(\frac{8}{20}\) now if you simplify it \(\frac{4}{10}\) and if you simplify it again:
\(\frac{2}{5}\) or 0.4 in decimal
The total revenue for Jane's Vacation Rentals is given as the function R(x)=400x−0.4x2
, where x is the number of apartments booked. What number of apartments booked produces the maximum revenue?
Select the correct answer.
Which inequality represents all the solutions of -2(3x+6) = 4(x +7)
Type in the equation of the line. Give your answer in the form. y = mx + c
Answer:
y = 3x - 2
Step-by-step explanation:
y = mx + c
m = slope and c = y intercept
finding y intercept
The y intercept is the point where the line passes the y axis
Here, by looking at the graph, we can say that the y intercept is at (0,-2)
This means the y intercept (c) = -2
finding slope
Using the slope formula (y2-y1)/(x2-x1)
Where (x1,y1) and (x2,y2) are from any points on the line
The points chosen may vary however I have chosen (0,-2) and (1,1)
So we have (x1,y1) = (0,-2) meaning x1 = 0 and y1 = -2 and we have (x2,y2) = (1,1) meaning that x2 = 1 and y2 = 1
We now plug these values into the formula
Slope(m) = (y2-y1)/(x2-x1)
==> plug in x1 = 0 , y1 = -2 , x2 = 1 and y2 = 1
Slope(m) = (1 - (-2) / (1 - 0)
==> remove parenthesis
Slope(m) = (1 + 2) / (1 - 0)
==> simplify addition and subtraction
Slope(m) = 3
Creating the equation
Now we plug in the values of m and c
Again we have y = mx + c
m = 3 and c = -2
y = 3x - 2
Which expression is equivalent to (m-²n-3)-4?
The equivalent expression to the expression (m-²n-3)-4 is (m-²n- 7).
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression is (m -² n - 3) - 4. The expression will be solved as below,
E = (m -² n - 3) - 4
E = (m -² n - 3 - 4 )
E = (m -² n - 7
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Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium?
Hint: Think about the point where they both meet. For example, if you were to place the graphs on top of each other, what would be the point of intersection?
Type the correct number below without the dollar sign.
Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.
Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.
Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.
At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.
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Two cars are traveling towards a hotel on the same road. From the edge of the hotel, 600 feet high, Spiderman sits on the rooftop thinking about the depression angle needed to reach each car. If the depression angle to the nearest car is 52 degrees, and the depression angle to the farther car is 46 degrees, how far apart must the two cars be from each other?
Make a sketch, solve the problem, and round your answer to the nearest hundredth of a foot.
The two cars must be approximately 177.34 feet apart from each other for Spiderman to have different depression angles to each car.
To find the distance between the two cars, we can use trigonometry and the concept of similar triangles. Let's denote the distance between Spiderman and the nearest car as d1 and the distance between Spiderman and the farther car as d2.
In a right triangle formed by Spiderman, the height of the hotel, and the line of sight to the nearest car, the tangent of the depression angle (52 degrees) can be used:
tan(52) = 600 / d1
Rearranging the equation to solve for d1:
d1 = 600 / tan(52)
Similarly, in the right triangle formed by Spiderman, the height of the hotel, and the line of sight to the farther car, the tangent of the depression angle (46 degrees) can be used:
tan(46) = 600 / d2
Rearranging the equation to solve for d2:
d2 = 600 / tan(46)
Using a calculator, we can compute:
d1 ≈ 504.61 feet
d2 ≈ 681.95 feet
The distance between the two cars is the difference between d2 and d1:
Distance = d2 - d1
Plugging in the values, we have:
Distance ≈ 681.95 - 504.61
Distance ≈ 177.34 feet
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At mirandas school, 45% of students are in band or choir. What is the ratio of students who are in band or choir to the students that are not.
Equations
Solve T = C(9+ AB) for B
Answer:
Simplifying
T = C(9 + AB) * forB
Reorder the terms for easier multiplication:
T = C * forB(9 + AB)
Multiply C * forB
T = forBC(9 + AB)
T = (9 * forBC + AB * forBC)
Reorder the terms:
T = (forAB2C + 9forBC)
T = (forAB2C + 9forBC)
Solving
T = forAB2C + 9forBC
Solving for variable 'T'.
Move all terms containing T to the left, all other terms to the right.
Simplifying
T = forAB2C + 9forBC
Step-by-step explanation:
Simplifying
T = C(9 + AB) * forB
Reorder the terms for easier multiplication:
T = C * forB(9 + AB)
Multiply C * forB
T = forBC(9 + AB)
T = (9 * forBC + AB * forBC)
Reorder the terms:
Fiona enlarges a parallelogram that has a perimeter of 17 meters.
A small parallelogram has a left side length of 3.5 meters. A larger parallelogram has a left side length of 21 meters.
Not drawn to scale
What is the perimeter of the enlarged parallelogram?
30 meters
73.5 meters
102 meters
105 meters
Answer:
The correct answer is C.
Step-by-step explanation:
Answer: C. 102 cm
Step-by-step explanation:
I took the quiz on Edge, and it is correct.
The product of 46 and a number added to the reciprocal of a number squared.
The expression for the given word phrase is
46M + M² + 2 + 1/M²
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number = M
Reciprocal of M = 1/M
Now,
46 x (M + 1/M)²
Step 1:
46M + M² + 2 + 1/M²
Thus,
The expression is 46M + M² + 2 + 1/M²
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