The option that describes the dilation is the last one; an enlargement of scale factor 3.5
Which dilation is applied to the rectangle?To find the type of dilation we need to compare the sizes.
We can see that the rectangle at the right is larger than the original one, then the dilation is an enlargement.
Now, to find the scale factor, we need to take a quotient between the correspondent sides of the two rectangles.
Using the top side, we will get:
K = 28/8 = 3.5
Then the correct option is the last one, an enlargement of scale factor 3.5
Learn more about dilations at:
https://brainly.com/question/3457976
#SPJ1
You work at Dave's Donut Shop. Dave has asked you to determine how much each box of a dozen donuts should cost. There are 12 donuts in one dozen. You determine that it costs $0. 32 to make each donut. Each box costs $0. 18 per square foot of cardboard. There are 144 square inches in 1 square foot.
The total cost for one dozen donuts include the cost to make the donuts and the cost of the box. Create an expression to model the cost for one dozen donuts where t represents the total surface area of the box
create an expression to model the total cost for one dozen donuts where t represents the total surface area of the box in square feet.
help please :(
The cost for one donut is $0.32, so the cost for one dozen donuts is:
12 donuts x $0.32/donut = $3.84
The cost for the cardboard box is $0.18 per square foot of cardboard, and there are 144 square inches in 1 square foot, so the cost per square inch of cardboard is:
$0.18 / 144 sq in = $0.00125/sq in
If t represents the total surface area of the box in square inches, then the cost of the box is:
t x $0.00125/sq in
To convert square inches to square feet, we divide by 144:
t/144 square feet x $0.18/square foot = t x $0.00125/sq in
Thus, the expression to model the total cost for one dozen donuts where t represents the total surface area of the box in square feet is:
$3.84 + (t/144) x $0.18
To know more about surface area , refer here :
https://brainly.com/question/29298005#
#SPJ11
PLEASE HURRYYYYY!!! The graph shows how many centimeters a bamboo plant can grow (g ) and the number of hours (t ) that the plant has been growing.
Part A: Does the growth of the bamboo plant vary directly with the time? How do you know?
Answer:
Yes it does!
Step-by-step explanation:
Given, the growth of the bamboo changes over time. Therefore, the growth is directly proportional as it grows more with increase in time.
Please help asap!!!!!
Answer:
s = 9
Step-by-step explanation:
A = s^2
81 = s^2
√81 = s
s = 9
Simplify the expression and please show all work
-5+i over 2i
Answer:
2.5i
Step-by-step explanation:
-5/2 = 2.5
+i = 2.5i
In a soccer game, lia takes 3 times as many shots as talisha. Talisha takes 5 shots how many shots dose lia take?
Answer:
Lia takes 15 shots
Step-by-step explanation:
1) Talisha takes 5 shots
2) Lia takes 3 times as many shots as Talisha
3) 5x3 = 15
4) 5x3 = 5 + 5 + 5
5) 5 three times is 15
6) Lia took 15 shots
Use the properties of exponents to rewrite this expression. Then evaluate the rewritten expression for the given values to
complete the statement.
(11j³k²) (³4)
When j = -8and k = 7
The value of the expression for the given values is 1294139
Evaluating an expression
From the question, we are to rewrite the expression
(11j⁻³k²) (j³k⁴)
This can be rewritten as
11 × j⁻³ × k² × j³ × k⁴
11 × j⁻³ × j³ × k² × k⁴
11 × j⁻³⁺³ × k²⁺⁴
11 × j⁰× k⁶
= 11 × 1 × k⁶
= 11k⁶
Now we are to evaluate the expression for when j = -8 and k = 7
The expression is
= 11 × k⁶
= 11 × 7⁶
= 1294139
Hence, the value of the expression for the given values is 1294139
Here is the complete question:
Use the properties of exponents to rewrite this expression. Then evaluate the rewritten expression for the given values to
complete the statement.
(11j⁻³k²) (j³k⁴)
When j = -8 and k = 7
Learn more on Evaluating an expression here: https://brainly.com/question/11388301
#SPJ1
Answer:
539
Step-by-step explanation:
In , both feet can be off the ground at once. To avoid full impact on the joints, use . can be a better activity type for overweight individuals. increase(s) the number of calories used in a workout. Running is an example of . Short, high intensity segments included in a workout is/are called .
Introducing short, high-intensity segments in a workout is called interval training. This method can help boost calorie expenditure and improve overall fitness.
When engaging in running, there are moments during the running gait cycle where both feet are off the ground simultaneously. This phenomenon is known as the flight phase. Running is considered a high-impact activity, which means it puts stress on the joints, especially for individuals who are overweight or have joint-related issues. To mitigate this impact, low-impact exercises such as swimming or cycling can be more suitable for overweight individuals as they provide cardiovascular benefits with reduced stress on the joints.
While running may not be the ideal choice for overweight individuals concerned about the joint impact, it can be advantageous for increasing the number of calories burned during a workout. Running is a weight-bearing exercise that engages multiple muscle groups and requires more energy expenditure compared to low-impact exercises. This increased calorie burn can be beneficial for weight loss and improving cardiovascular fitness.
Interval training refers to a workout method that involves alternating periods of high-intensity exercise with periods of low-intensity or rest. This technique can be applied to various exercises, including running. By incorporating short, high-intensity segments, such as sprinting or running at a faster pace, into a workout, individuals can challenge their cardiovascular system, improve endurance, and burn more calories in a shorter amount of time. Interval training is known for its efficiency and effectiveness in boosting overall fitness levels.
To learn more about Interval training click here: brainly.com/question/13003179
#SPJ11
Find m angle 1 and m angle 2
Step-by-step explanation:
Please could you snap it completely, or message me with the full snap so I can solve it. Thanks
Three years after a tree was planted it was 9 feet tall. Seven years after it was planted it was 17 feet tall. a What is the yearly growth rate of the tree? b. Determine the height of the tree when it was planted.
Answer:
your answer i think is 2/3 sorry if i'm wrong
Step-by-step explanation:
What is the lateral surface area of the square pyramid
The lateral surface area of the square pyramid is 700cm²
What is lateral surface area?The lateral area of a figure is the area of the non-base faces only. Therefore the lateral area of pyramid is the side areas of the pyramid.
For a regular square base pyramid, the four surfaces will have the same area. Therefore;
lateral area = 4 ( 1/2bh)
where b is the base and h is the height of the triangle.
LA = 4( 1/2 ×25 × 14)
LA = 4 × 25 × 7
LA = 100× 7
LA = 700 cm²
Therefore the lateral surface area of the square based pyramid is 700 cm²
learn more about lateral area from
https://brainly.com/question/5429426
#SPJ1
As diversification increases, the total variance of a portfolio approaches _____.A. 0B. 1C. idiosyncratic riskD. systematic risk
The correct answer is A. 0. As diversification increases, the total variance of a portfolio approaches zero.
As diversification increases, the total variance of a portfolio approaches 0, which means that the portfolio becomes less risky. This occurs because diversification spreads the risk across multiple assets, reducing the impact of any single asset on the portfolio's overall performance. The reduction in risk is due to the fact that some assets in the portfolio may perform well while others may not, but the negative performance of some assets is compensated by the positive performance of others, leading to a lower overall portfolio variance. Therefore, option A is the correct answer.
Diversification is an investment strategy that involves spreading an investor's portfolio across different assets, such as stocks, bonds, real estate, and commodities, with the aim of reducing overall risk.
Learn more about total variance here brainly.com/question/29615374
#SPJ4
Consider the problem of finding the shortest route through several cities, such that each city is visited only once and in the end return to the starting city (the Travelling Salesman problem). Suppose that in order to solve this problem we use a genetic algorithm, in which genes represent links between pairs of cities. For example, a link between London and Paris is represented by a single gene 'LP'. Let also assume that the direction in which we travel is not important, so that LP=PL. a. Suggest what chromosome could represent an individual in this algorithm if the number of cities is 10 ?
In a genetic algorithm for the Traveling Salesman Problem (TSP), a chromosome represents a potential solution or a route through the cities. The chromosome typically consists of a sequence of genes, where each gene represents a city.
In this case, if we have 10 cities, the chromosome could be represented as a string of 10 genes, where each gene represents a city. For example, if the cities are labeled A, B, C, ..., J, a chromosome could look like:
Chromosome: ABCDEFGHIJ
This chromosome represents a potential route where the salesperson starts at city A, visits cities B, C, D, and so on, in the given order, and finally returns to city A.
It's important to note that the specific representation of the chromosome may vary depending on the implementation details of the genetic algorithm and the specific requirements of the problem. Different representations and encoding schemes can be used, such as permutations or binary representations, but a simple string-based representation as shown above is commonly used for small-scale TSP instances.
Learn more about solution from
https://brainly.com/question/27894163
#SPJ11
Select the values that make the inequality -g> 6 true.
When resolving an inequality, you can, add the same amount to each side, take away the same amount from each side, multiply or divide each side by the same positive amount.
How do inequality equations work?Connecting two expressions results in both the mathematical constructs known as equations and inequalities. The two expressions in an equation are thought to be equal when the equal symbol (=) is present. Two expressions in an inequality are not always equal, as shown by the symbols >,,, or. The four basic terms for inequality are smaller than, larger than, smaller than or equal to, and larger than or equal to.You can solve an inequality by doing one of the following: adding or subtracting the same amount from each side; multiplying or dividing each side by the same positive number. It is necessary to flip the inequality sign if all sides are multiplied or divided by a negative value.The complete question is,
How do you resolve an inequality equation?
To learn more about Inequalities refer to:
https://brainly.com/question/24372553
#SPJ1
Urgent PLS PLS !!!!I need help on this 300 points
Answer:
Step-by-step explanation:do u need help
Answer:
(5,50)
can I please get Brainliest?
The Rockwell hardness of a metal is determined by impressing a hardened point into the surface of the metal then measuring the depth of penetration of the point. Suppose the Rockwell hardness of a particular alloy is normally distributed with mean 70 and standard deviation 3 (assume the Rockwell hardness is measured on a continuous scale) a) If a specimen is acceptable only if its hardness is between 67 and 75, what is the probability that a randomly chosen specimen has an acceptable hardness
The probability that a randomly chosen specimen has an acceptable hardness is 0.7887.
The Rockwell hardness of a metal is determined by impressing a hardened point into the surface of the metal then measuring the depth of penetration of the point. Suppose the Rockwell hardness of a particular alloy is normally distributed with mean 70 and standard deviation 3.
The specimen is acceptable only if its hardness is between 67 and 75.
We need to find the probability that a randomly chosen specimen has an acceptable hardness.
Given that the Rockwell hardness of a particular alloy is normally distributed with mean μ = 70 and standard deviation σ = 3.
Let X be the Rockwell hardness of the alloy.
Then, X ~ N(70, 3)
We need to find the probability that a randomly chosen specimen has an acceptable hardness, i.e.,
P(67 < X < 75) = P((67-70)/3 < (X-70)/3 < (75-70)/3)P(-1 < Z < 5/3)
Using a standard normal table, we get
P(-1 < Z < 5/3) = Φ(5/3) - Φ(-1) = 0.9474 - 0.1587 = 0.7887
Learn more about probability at:
https://brainly.com/question/29381779
#SPJ11
Consider the equation x – 8 = 4 – 2x.
The picture shows the graphs of y = x – 8 and y = 4 – 2x.
Which statement is true?
Think Through Math question
!!!GIVING 20 POINTS!!!
From interpretation of the given graph, we can say that the equation given as ¹/₂(2x + 8) = x + 4 has no solution
How to find the solution to graphical equation?We are given the equation as;
¹/₂(2x + 8) = x + 4
Now, expanding the bracket using distributive property gives us;
x + 4 = x + 4
Since left hand side is equal to right hand side, then it means that the equation has no solution.
Now, looking at the given graph, we can see that the line of both equations overlap each other which means they don't intersect to provide a solution.
Read more about Graph Solution at; https://brainly.com/question/4025726
#SPJ1
6. In a set of 10 questions ,4 marks are awarded for every correct answer and -2 marks
every wrong answer. Sunil gets 6 correct answers and 4 wrong answers. What is his
score?
Answer this question right , then I will award u brainlist and points
16 points
Step-by-step explanation:Hi there !
What is his score?
6×4 - 4×2 =
= 24 - 8
= 16 points
Good luck !
Answer:
marks awarded for each correct answer = 4
marks awarded for each incorrect answer = -2
No.of Sunil's correct answer = 6
therefore, mark of Sunil's correct answer = 6 x 4 = 24
No.of Sunil's incorrect answer = 4
therefore, mark of Sunil's incorrect answer = 4 x -2 = -8 (here + and - is multiplied therefore the final answer will be -)
Sunil's total score = 24(positive marks) - 8(negative marks)
=24-8 = 16
This also is an integer question right? ^_^
find the rank of a 5 x 6 matrix a for which ax = 0 has a two-dimensional solution space.
Therefore, the rank of matrix 'a' in this case would be 5.
To find the rank of a matrix, we need to perform row reduction to obtain its row echelon form (REF) or reduced row echelon form (RREF). However, since the matrix 'a' is not provided, I cannot perform the calculations or determine its rank.
The rank of a matrix is equal to the number of non-zero rows in its row echelon form or reduced row echelon form. If the system of equations 'ax = 0' has a two-dimensional solution space, it means that the rank of matrix 'a' is less than the number of columns (6) but greater than 4 (since the solution space is two-dimensional).
To know more about matrix,
https://brainly.com/question/31494894
#SPJ11
What is the midpoint of the segment with endpoints (1, 9) and (-3, 5) ?
Please help I will give 10 points
Answer:
The answer is
( - 1 , 7)Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
\(M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\)
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(1, 9) and (-3, 5)
The midpoint is
\(M = ( \frac{1 - 3}{2} \: , \: \frac{9 + 5}{2} ) \\ = ( - \frac{2}{2} \: , \: \frac{14}{2} )\)
We have the final answer as
( - 1 , 7)Hope this helps you
plsssss helpp me out asap
Answer: \(m = 7.3\pi\)
I multiplied both sides by pi to isolate m.
The lifting force, F, exerted on an airplane wing varies jointly as the area, A, of the wing's surface and the square of the plane's velocity, v. The lift of a wing with an area of 130 square feet is 5,200 pounds when the plane is going at 150 miles per hour. Find the lifting force if the speed is 220 miles per hour. Round your answer to the nearest integer if necessary.
The lifting force if the speed is 220 miles per hour is F' = 708.53 N.
The force of light, or simply light, is the sum of all forces on an object that cause the object to move perpendicular to the direction of flow.
The most common type of lift is the wing lift. But there are many other common uses, such as propellers on airplanes and ships, rotors on helicopters, fan blades, sails on sailboats, and wind turbines.
We have,
The lifting force, F, exerted on an airplane wing varies jointly as the area, A, of the wing's surface and the square of the plane's velocity, v. It, means that,
\(F=kAv^{2}\)
Where
k is constant
If, A = 190 Ft², v = 220 mph, F = 950 pounds
Now, find k first from the above data. So,
\(k=\frac{F}{Av^{2} }\)
⇒ \(k=\frac{950}{190* (220)^2}\)
⇒ k = 0.0001033
It is required to find the lifting force on the wing if the plane slows down to 190 miles per hour.
Let F' is a new force. So,
F' = 0.0001033 × 190 × (190)²
⇒ F' = 708.53 pounds.
So, the lifting force is 708.53 pounds if the plane slows down to 190 miles per hour.
Learn more about hour:
https://brainly.com/question/13533620
#SPJ4
Suppose elementary students are asked their favorite color, and these are the results: - 24 % chose blue - 17 % chose red - 16 % chose yellow What percentage chose something other
43% of elementary students chose something other than blue, red, or yellow as their favorite color.
The percentage of elementary students who chose something other than blue, red, or yellow as their favorite color can be found by subtracting the sum of the percentages of those three colors from 100%.Blue: 24%
Red: 17%
Yellow: 16%
Total: 24% + 17% + 16% = 57%
Percentage chose something other:
100% - 57% = 43%.
Therefore, 43% of elementary students chose something other than blue, red, or yellow as their favorite color.
#SPJ11
learn more about "percentages"https://brainly.com/question/24877689
Can u guys help me with this question!! :)
Answer:
A
Step-by-step explanation:
5/8=0.625
0.42=0.42^2
Janet buys 12 pens for $5.88. What is the cost per pencil?
I need it step by step please
Answer:
$0.49
Step-by-step explanation:
You will need to divide 5.88 with 12
Since she has 12 pens we will need to divide 5.88 by 12 to get the cost of one pen
Thus:
5.88/9
You will get 0.49
Thus each pen is $0.49
To check your answer you can multiply 0.49 with 12
This will get 5.88, the same price
Hope this helps!
-3 x (10i+6)
Your answer should be a complex number in the form a + bi where a and b are real numbers.
The Answer is:
−30xi−18x, I really don't know what you are looking for but this is what i came up with. Hope this is helpful!
solve for x: y = x + 4 for x
Answer:
x = y-4
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
:
x=y-4
Step-by-step explanation:
y=x+4
-4
y-4=x
The location of four buildings on a coordinate grid are as follows:
Building 1 is at (−5, −3).
Building 2 is at (−5, 5).
Building 3 is at (4, 5).
Building 4 is at (4, −3).
A bike courier begins at building 1 and then delivers packages to building 2, then building 3, and then building 4. Then she bikes back to building 1. The path between each building is a straight line. One unit on the coordinate grid equals 100 feet.
What is the total distance the courier biked?
Enter your answer in the box.
Answer:
3400 feet
Step-by-step explanation:
Distance between building 1 and building 2 = |5+3| = 8
Distance between building 2 and building 3 = |4+5| = 9
Distance between building 3 and building 4 = |-3-5| = 8
Distance between building 4 and building 1 = |4+5| = 9
total distance = 8 x 2 + 9 x 2 = 34
total distance in feet = 34 x 100 = 3400 feet
Answer: 3400 feet
Step-by-step explanation:
what is the radius? plzzzz helppppp
Answer:
24 is it multipule
Step-by-step explanation:
Answer:
B) 6 cm
Step-by-step explanation:
sq rt 36 = 6 cm
the ratio to tulips to roses is 5 to 8 at the flower shop. there are 40 roses at the flower shop. what is the total of flowers in the flower shop?
I can't quite figure it out, please help me see what I did wrong.
The total number of flowers in the flower shop is 65.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that, the ratio to tulips to roses is 5 to 8 at the flower shop.
There are 40 roses at the flower shop.
Let the total number of flowers are x.
Now, 5+8=13
8/13 ×x=40
8x=520
x=520/8
x=65
Therefore, the total number of flowers is 65.
To learn more about the ratio visit:
brainly.com/question/13419413.
#SPJ1
WILL GIVE BRAINLIES- ARITHMETIC SEQUENCE
Answer:
2,322,775
Step-by-step explanation:
\( a_1=4\\\\
a_i=a_{i-1}+11\\\\
\implies a_2=a_{2-1}+11\\a_2= a_1+11 \\a_2= 4+11 \\a_2= 15\\\\
d = a_2-a_1 \\d= 15-4 \\d= 11\\\\
S_{650}=?\\\\
\implies n = 650\\\\\)
By the formula of sum of an Arithmetic Sequence
\( S_n= \frac{n}{2} [2a_1+(n-1)d]\\\\
S_{650}= \frac{650}{2} [2\times 4+(650-1)\times 11]\\\\
S_{650}= 325 [8+649\times 11]\\\\
S_{650}= 325 [8+7,139]\\\\
S_{650}= 325\times 7,147\\\\
\huge \red {\boxed {S_{650}=2,322,775}} \)