Step-by-step explanation:
code:- 2574030731
pass:- HELLO
Z●●M
The length of a rectangle is 5cm and the width is 3cm. What is the length of a diagonal? Leave the answer in reduced exact form. Hint: Draw A PICTUR
Answer:
\(\sqrt{34} } =5.83\)
Step-by-step explanation:
\(D=\sqrt{5^{2} +3^{2} } =\sqrt{34}\)
Find the perimeter of the following figure.
Answer:
17 in
Step-by-step explanation:
1 + 4 + 4 + 2 + 6 =17
|
4 + 2
Answer: Perimeter = 24
Step-by-step explanation: Break it into two and that would be 1 + 1 + 6 + 6 and on the other piece 3 + 3 + 2 + 2. The first one would be 14, and the 2nd one would be 10, then all you have to do is add them together and you get 24.
Find the area of the figure. (Sides meet at right angles.)
3 in
B in
2 in
2 in
.
in
2 in
in
3 in
Answer:
27 square units
3x2+
3x2+
3x2+
3x3
Answer:
30 in
Step-by-step explanation:
3 in × 8 in +2 in × 3 in
=24 in +6in
=30 in
fifteen points, no three of which are collinear, are given on a plane. how many lines do they determine?
15 non-collinear points on a plane determine 105 lines
To find the number of lines determined by 15 non-collinear points on a plane, we can use the combination formula. The combination formula is written as C(n, k) = n! / (k!(n-k)!), where n is the total number of elements and k is the number of elements we want to choose from the total.
In this case, we have 15 points (n = 15) and we need to choose 2 points (k = 2) to form a line. Applying the combination formula:
C(15, 2) = 15! / (2!(15-2)!) = 15! / (2! * 13!) = (15 * 14) / (2 * 1) = 105
Therefore, 15 non-collinear points on a plane determine 105 lines.
Learn more about collinear here,
https://brainly.com/question/31613508
#SPJ11
A bag contains 42 red, 45 green, 20
yellow, and 32 purple candies. You
pick one candy at random. Find the
probability that it is green or yellow.
Answer:
65/139 fraction form
0.47 decimal form
Answer:
Step-by-step explanation:
Total sample space , n (s) = 139
no of green candies , n (g) = 45
no. of yellow candies , n (y) = 20
Probability that is green or yellow is
P( g or y) = P(g) + P(y)
= n(g) / n(s) + n (y) / n(s)
= 45 / 139 + 20 / 139
= 65 / 139
hope it will help :)
List three different combinations of coins, each with a value of 30% of a dollar
Answer:
1 Quarter + 1 Nickel , 3 Dimes , 30 Pennies , 15 Pennies + 1 Nickel + 1 Dime , 10 Pennies + 2 Nickels + 1 Dime ... There are many different ways to make 30 cents with certain coin combinations.
Step-by-step explanation:
Homework: homework 15.5 What is the unit vector in a direction of zero change with a positive x-component? (Type exact answers, using radicals as needed.) Question 13, 15.5.69 Part 1 of 2 2 Find the directions in the xy-plane in which the function f(x,y) = 7 - 4x² - 2y² has zero change at the point P(1,-1,1). Express the directions in terms of unit vectors. Help me solve this ■■ √₁ View an example Get more help Vi HW Score: 96.15%, 12.5 of 13 points Points: 0.5 of 1 (I,▪) More Save Clear all Check answer
The unit vector in a direction of zero change with a positive x-component is (1/√17) i - (4√2/√17) j.
To find the directions in the xy-plane in which the function f(x,y) = 7 - 4x² - 2y² has zero change at the point P(1,-1,1), we will find the gradient of the function and then plug in the given point and solve for the unit vectors in the xy-plane. Answer:Part 1:Gradient of the function f(x, y) = 7 - 4x² - 2y² is:∇f(x, y) = (-8x, -4y) At the point P(1, -1),
we have∇f(1,-1) = (-8, 4)To find the directions in the xy-plane in which the function f(x,y) = 7 - 4x² - 2y² has zero change at the point P(1,-1,1), we need to solve the equation ∇f(1,-1) . (a, b) = 0, where (a, b) is the direction vector in the xy-plane. This gives us:∇f(1,-1) . (a, b) = -8a + 4b = 0⇒ b = 2a
We also know that the direction vector (a, b) should be a unit vector, so |(a, b)| = 1. Substituting b = 2a and |(a, b)| = 1, we get:√(a² + b²) = √(a² + (2a)²) = √(5a²) = 1⇒ a = 1/√5 and b = 2/√5.
Therefore, the two directions in the xy-plane in which f(x,y) = 7 - 4x² - 2y² has zero change at P(1,-1,1) are (1/√5, 2/√5) and (-1/√5, -2/√5) respectively, and in terms of unit vectors, they are: (1/√5) i + (2/√5) j and (-1/√5) i - (2/√5) j.
To know more about vector visit:
brainly.com/question/32520519
#SPJ11
K(x)=12(1+1)^x,k(3)
Show how you got the answer step by step
simplify (1-cos x)(1+cos x)
Answer:
\(sin^2x\)
Step-by-step explanation:
To simplify the expression (1 - cos x)(1 + cos x), we can use the difference of squares identity, which states that \(a^2 - b^2 = (a + b)(a - b).\)
Let's apply this identity to the given expression:
\((1 - cos x)(1 + cos x) = 1^2 - (cos x)^2\)
Now, we can simplify further by using the trigonometric identity \(cos^2(x) + sin^2(x) = 1.\) By rearranging this identity, we have \(cos^2(x) = 1 - sin^2(x).\)
Substituting this into our expression, we get:
\(1^2 - (cos x)^2 = 1 - (1 - sin^2(x))\)
Simplifying further:
\(1 - (1 - sin^2(x)) = 1 - 1 + sin^2(x)\)
Finally, we get the simplified expression:
\((1 - cos x)(1 + cos x) = sin^2(x)\)
To simplify the expression \(\sf\:(1-\cos x)(1+\cos x)\\\), follow these steps:
Step 1: Apply the distributive property.
\(\longrightarrow\sf\:(1-\cos x)(1+\cos x) = 1 \cdot 1 + 1 \cdot \\\)\(\sf\: \cos x -\cos x \cdot 1 - \cos x \cdot \cos x\\\)
Step 2: Simplify the terms.
\(\longrightarrow\sf\:1 + \cos x - \cos x - \cos^2 x\\\)
Step 3: Combine like terms.
\(\longrightarrow\sf\:1 - \cos^2 x\\\)
Step 4: Apply the identity \(\sf\:\cos^2 x = 1 - \sin^2 x\\\).
\(\sf\:1 - (1 - \sin^2 x)\\\)
Step 5: Simplify further.
\(\longrightarrow\sf\:1 - 1 + \sin^2 x\\\)
Step 6: Final result.
\(\sf\red\bigstar{\boxed{\sin^2 x}}\\\)
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
NEED HELP PLEASE
Rotate the given triangle 90°
counter-clockwise about the
-1
2
origin.
2 4
1 2
[?
3
4
The coordinates of the given triangle after 90° counter-clockwise about the origin are: \(\left[\begin{array}{ccc}-1&-2&-4\\2&4&3\end{array}\right]\)
What is a rotation?In Mathematics and Geometry, the rotation of a point 90° about the center (origin) in a counterclockwise (anticlockwise) direction would produce a point that has these coordinates (-y, x).
By applying a rotation of 90° counterclockwise around the origin to vertices, the coordinates of the vertices of the image are as follows:
(x, y) → (-y, x)
Ordered pair (2, 1) → Ordered pair (-1, 2)
Ordered pair (4, 2) → Ordered pair (-2, 4)
Ordered pair (3, 4) → Ordered pair (-4, 3)
Read more on rotation here: brainly.com/question/28854313
#SPJ1
Does someone mind helping me with this? Thank you!
Answer:
Step-by-step explanation:
Just plug each value of x into the equation to get y:
f(-2) = (√-(-2) - 2) + 2 = √0 + 2 = 2
f(-3) = (√-(-3) - 2) + 2 = √1 + 2 = 3
f(-6) = (√-(-6) - 2) + 2 = √4 + 2 = 4
f(-11) = (-(-11) - 2) + 2 = √9 + 2 = 5
Please help me I’ll make u brainliest I swear please
Since the provided equation is inconsistent, it cannot intersect.
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
Here,
we can see that the second set of equation,
4x+2y=12
20x+10y=30
4/20=2/10≠12/30
1/5=1/5≠2/5
The given equation is inconsistent so it does not intersect.
To know more about equation,
https://brainly.com/question/2228446
#SPJ1
Which one of the following decisions most clearly reflects a lack of understanding of the concept of sunk costs? You pay to have your car towed back to the repair shop because it was not fixed properly the first time. You decide to get a master's degree because you cannot find a job in the field in which you majored. You decide to purchase a piece of machinery for your business that will eliminate three employees' positions. You study eight hours for a final exam even though there is no way now that you can pass the course.
The decision that most clearly reflects a lack of understanding of the concept of sunk costs is "You study eight hours for a final exam even though there is no way now that you can pass the course".
What are sunk costs?Sunk costs refer to any costs that have already been incurred and cannot be recovered. Sunk costs are irrelevant in decision-making because they are already gone and cannot be recovered. Decision-makers must only consider future costs and benefits when making decisions.
What does it mean to lack an understanding of sunk costs?A lack of understanding of sunk costs may result in individuals making decisions based on past costs rather than future costs and benefits. Decision-making that is influenced by sunk costs may result in inefficient resource allocation and lost opportunities.
Individuals must ignore sunk costs and instead focus on future costs and benefits to make effective decisions.
In the given options, "You study eight hours for a final exam even though there is no way now that you can pass the course" is the decision that most clearly reflects a lack of understanding of the concept of sunk costs.
Even though the student has already spent 8 hours studying, the sunk costs are irrelevant because the student cannot pass the course now. The student should focus on future costs and benefits and use the remaining time to study for other courses.
To know more about sunk costs:
https://brainly.com/question/29488541
#SPJ11
The pie chart below shows information about
the electronic devices that a shop sold in
January.
The shop sold 900 electronic devices in total in
January.
In February, the shop sold the same numbers of
tablets, desktop computers and laptops as in
January, but sold 40% more mobile phones.
If a second pie chart was drawn showing the
shop's sales in February, what would the central
angle of the mobile phones section be?
Give your answer in degrees (°) to 1 d.p.
Electronic devices sold in January
70°
84
60
146°
Key
Desktop computer
Laptop
Tablet
Mobile phone
Not drawn accurately
The central angle of mobile phones section in February be 91°
Given,
The total number of electronic devices sold by a shop in January = 900
According to pie chart
900 implies 360°. Therefore, 900/360 = 2.5
Now lets check the number of devices sold in January:
Desktop = 60° ⇒ 60 × 2.5 = 150
Laptop = 146° ⇒ 146 × 2.5 = 365
Tablet = 84° ⇒ 84 × 2.5 = 210
Mobile = 70° ⇒ 70 × 2.5 = 175
Its given that in February, all other numbers are same except Mobile phones.
40% more mobile phones are sold in February than in January.
So, number of mobile phones sold in February = 175 × (140/100) = 245
Now lets calculate the total number of devices sold in February:
900 - 175 = 725
725 + 245 = 970
970 devices sold in February.
According to pie chart:
970 implies 360 = 970/360 = 2.69
Now lets check the degree in pie chart for each devices,
Desktop = 150 ⇒ 150/2.69 = 55.7°
Laptop = 365 ⇒ 365/2.69 = 135.5°
Tablet = 210 ⇒ 210/2.69 = 78°
Mobile = 245 ⇒ 245/2.69 = 91°
That is, the central angle of mobile phones section in February be 91°
Learn more about pie chart here:
https://brainly.com/question/9979761
#SPJ1
What is the domain for this function?
The domain of this function is all real numbers from -54 to 60.
What is real number?Real numbers are any number that can be expressed on the number line. They include natural numbers, whole numbers, integers, rational numbers and irrational numbers. Real numbers can be expressed as decimals, fractions, or in scientific notation. Real numbers can also be positive, negative, or zero. They are used in mathematics to represent a wide variety of physical quantities, such as distances, velocities, and forces.
Real numbers are numbers that represent an exact quantity, such as whole numbers and fractions. To find real numbers, you can use the standard number line or the decimal point system. The number line is a graphical representation of all real numbers, and it starts with the positive numbers on the right and the negative numbers on the left. The decimal point system assigns place values to each digit in a number, and the real numbers are the numbers that have non-repeating digits.
To know more about real number click-
https://brainly.com/question/17201233
#SPJ1
marla earns an annual salary of $28,000 at her new job. She received a 3% salary increase every year. Find Marla’s total earnings over the course of her first five years working at her job.
ANSWER:
$148,655.8
STEP-BY-STEP EXPLANATION:
Given:
Original salary = $28,000
Increase per year = 3%
The sum of all the earnings would be the sum of the original salary, the salary after 1 year, the salary after 2 years, the salary after 3 years and the salary after 4 years.
The salary in each year is calculated by multiplying the original salary by the increase raised after n years, just like this:
\(\begin{gathered} s_n=28000\cdot(1+3\%)^n_{} \\ s_n=28000\cdot(1+0.03)^n_{} \\ s_n=28000\cdot(1.03)^n_{} \end{gathered}\)Therefore, the total earnings would be as follows:
\(\begin{gathered} t=28000+28000\cdot(1.03)^1+28000\cdot(1.03)^2+28000\cdot(1.03)^3+28000\cdot(1.03)^4 \\ t=28000+28840+29705.2+30596.4+31514.2 \\ t=148655.8 \end{gathered}\)Therefore, the earnings in the first 5 years of MARla is $148,655.8
In the absence of predators the rabbit population in a forest has grown to 5^6 over 5 years what is the rabbit population in the forest.
Answer
Wait a sec
Step-by-step explanation:
True or False?
If you graph the points (2,4) and (-1.-1). Do they would represent a proportional
relationship.
Answer:
1
Step-by-step explanation:
Which graph does not represent a function?
Answer:
the full circle one
Step-by-step explanation:
use the vertical line test. Hold up a pen on any given spot in the graph (the pen has to be vertical) and if it goes through the line in 2 or more different places its not a function
Find the area of each figure. If necessary, use 3.14 for and round to the nearest hundred.
Answer:
132 m²
Step-by-step explanation:
Split the figure into 2 parts :
Area of TriangleArea of RectangleArea (Triangle)
A = 1/2bhA = 1/2 x (20 - 8 - 6) x (10 - 6)A = 1/2 x 6 x 4A = 3 x 4A = 12 m²Area (Rectangle)
A = bhA = 20 x 6A = 120 m²Area (Figure)
12 + 120132 m²Solve 2x>8 or 2x< 4.
Answer:
2x=8
x=8/2
x=4
2x=4
x=4/2
x=2
How do I determine whether a graph is a function?
Here's a more detailed explanation: To determine if a graph is a function, you can use the vertical line test. The vertical line test states that if you can draw a vertical line that intersects the graph in more than one place, then the graph is not a function.
Determining whether a graph represents a function is an important concept in mathematics, especially in algebra and calculus. A function is a set of ordered pairs where each input is associated with exactly one output.
So, if you take a ruler or a straight edge and place it vertically on the graph, and it intersects the graph in two or more points, then the graph is not a function. This is because if two points in the graph have the same x-value, they must have different y-values, since functions can only have one output for each input.
On the other hand, if you place a vertical line anywhere on the graph and it intersects the graph in only one point, then the graph is a function.
It's also important to remember that a function must also pass the horizontal line test, which means that no horizontal line can intersect the graph in more than one place.
to know more about graph refer here
https://brainly.com/question/17267403#
#SPJ11
Noah is
Helping his band sell boxes of chocolate to fund a field trip. Each box contains 20 bars and each bar sells for $1. 50. Write an equation for the amount of money M that will be collected if B boxes of chocolate bars are sold
The equation for money collected m for h boxes of chocolate bars sold is m = 30h.
We are given that the band is selling every bar of chocolate for $1.50
Now, they have boxes of chocolate, with every box containing 20 bars of chocolate in them.
Hence if we are going to calculate the amount of money collected on selling one box it will be
20 X $1.5
= $30
We need to find the equation for the amount of money collected based on the number of boxes of chocolate bars sold.
We have been given that money collected should be represented b m while the number of chocolate boxes sold should be represented by h
Now we know that
Money collected = price per box X no.of boxes sold
we have already calculated the price per box hence we get
m = 30h
To learn more about Linear Equations visit
https://brainly.com/question/29142080
#SPJ4
helpppp What is the value of y? Triangle A B C has right angle C with side A C labeled 5. Angle A is 60 degrees and its opposite side B C is labeled y. The long leg is labeled y and the short leg is labeled 5. Enter your answer, as an exact value, in the box.
Answer:
\( 5\sqrt{3} \)
Step-by-step explanation:
here
tan(60)= p/b
\( \sqrt{3 } = \frac{y}{5} \)
\(y = 5\sqrt{3} \)
A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavalier normally distributed and has the mean 8.4 hours and the standard deviation 1.8 hours. If 40 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 8.7 hours
The mean of the time taken by a mechanic to rebuild the transmission of 2005 Chevrolet Cavalie μ = 8.4 hours The standard deviation of the time taken by a mechanic to rebuild the transmission of 2005 Chevrolet Cavalier, σ = 1.8 hours.
The sample size, n = 40 We have to find the probability that their mean rebuild time exceeds 8.7 hours. We know that the sampling distribution of the sample means is normally distributed with the following mean and standard deviation.
We have to find the probability that the sample mean rebuild time exceeds 8.7 hours or Now we need to standardize the sample mean using the formula can be found using the z-score table or a calculator. Therefore, the probability that the mean rebuild time of 40 mechanics exceeds 8.7 hours is 0.1489.
To know more about standard deviation visit :
https://brainly.com/question/29115611
#SPJ11
when solving a real world problem to find a person age, would a negative solution make sense?
Answer:
No, it would not make sense
The regular price of a swimsuit in the junior department of a store is $54. The store advertises an end-of-season sale at 40% off the regular price of all swimsuits. Two weeks later the store advertises a bonus sale at an additional 1/5 off the end-of-season sale price of all swimsuits. Shannon and Mary decide this is a great time to shop for swimsuits. Shannon figures that the swimsuits are now 60% off the regular price. Mary disagrees because she figures that the total discount is actually less than 60%.
a. What is the cost of a swimsuit during the end-of-season sale? Justify your reasoning using a model.
b. What is the cost of a swimsuit during the additional 1/5-off bonus sale? How can you show this with a model?
c. Did Shannon or Mary figure the discount correctly? Use a model to explain.
Answer:
640
Step-by-step explanation:
it takes edna 23 minutes to drive to jake’s party. if she needs to be there at 2:30, what time should she leave
Edna should leave at 2:07 PM in order to arrive at Jake's party by 2:30 PM
To determine the time Edna should leave, we need to subtract the travel time from the desired arrival time.
If Edna needs to be at Jake's party at 2:30 PM and it takes her 23 minutes to drive there, she should leave 23 minutes before 2:30 PM.
To calculate the departure time, we subtract 23 minutes from 2:30 PM:
2:30 PM - 23 minutes = 2:07 PM
Therefore, Edna should leave at 2:07 PM in order to arrive at Jake's party by 2:30 PM
Learn more about time here:
https://brainly.com/question/31732120
#SPJ11
PLEASE HELP ME
IM BEGGING
PLEASE
HELP
The figure below shows a square ABCD and an equilateral triangle DPC
Jake makes the chart shown below to prove that triangle APD is congruent to triangle BPC
Which of the following completes jakes proof ?
Answer:
in triangle APD and BPC ;AD=BC justification all sides of square are equal
Step-by-step explanation:
find the solution of given expression
\( \sqrt{99 \times 33 \times 3} \)
Answer:
99
Step-by-step explanation:
99 x 33 x 3 can be simplified to 99 x 99. If you square root this you will end up with 99
\(\sqrt{99 \times 33 \times 3} = 99\)