Answer:
12
Step-by-step explanation:
The projected worth (in millions of dollars) of a large company is modeled by the equation w = 241(1.06) t. the variable t represents the number of years since 2000. what is the projected annual percent of growth, and what should the company be worth in 2011?
Answer:
6%- 457 Million
Step-by-step explanation:
w=241(1.06)^11=457 million
please help ASAP!!!!!
Solution
For this case we can begin dividing both sides by 3500 and we got:
\(\frac{3992}{3500}=(1+r)^2\)then we can take square root in both sides and we got:
\(\sqrt[]{\frac{3992}{3500}}=1+r\)And finally we can subtract 1 in both sides and we got:
\(r=\sqrt[]{\frac{3992}{3500}}-1=0.06797\)and if we multiply by 100 we got:
r= 6.797 and rounded the answer would be:
6.8%
PLSSS HELP THIS IS HARD ANYONE
Answer:
b: 8
Step-by-step explanation:
with dilating by 2, the B' figure would be bigger than B
because 4*2 = 8
Find the angle between vector bold lower u equals 3 bold lower I plus start root 3 end root bold lower j and vector bold lower v equals negative 2 bold lower I minus 5 bold lower j to the nearest degree. A. 82° B. 38° C. 142° D. 98°
Answer:
C. 142°
Step-by-step explanation:
You want the angle between vectors u=3i+√3j and v=-2i-5j.
AngleThere are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:
u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest
You can find the angles of the vectors individually, and subtract those:
u = |u|∠α
v = |v|∠β
θ = α - β
When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:
\(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)
This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.
A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.
__
Additional comment
The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.
The dot-product relation will work with 3D vectors as well as 2D vectors.
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Given f(x) = -5x + 2, determine each of the following:
a) f(-1)
b) f^-1(7)
c) f^-1(-43)
Answer:
a) 7
b) -1
c) 9
Step-by-step explanation:
a) Substitute -1 into the x's of the function.
f(-1) = -5(-1) + 2
f(-1) = 5 + 2
f(-1) = 7
b) f^-1(7) means: find the inverse of the function with 7 substituted as x.
Let y = f(x)
y = -5x + 2
5x = 2 - y
x = 2 - y / 5
f^-1(x) = 2 - x / 5
f^-1(7) = 2 - 7 / 5
f^-1(7) = -5/5
f^-1(7) = -1
c) We have already found the inverse of the- original function. Substitute -43 into the x's of the inverse function.
f^-1(-43) = 2 - (-43) / 5
f^-1(-43) = 2 + 43 / 5
f^-1(-43) = 45/5
f^-1(-43) = 9
Will mark brainliest for all 4 :)
1. so you have $114
weekdays weekends
18. 21
just divide 114 by 18 and 21
114÷18 = 6.3 which means 6 tickets
and 114÷ 21 = 5.4 which gives us 5 tickets
so the answer is
for weekdays the max ticket number I can get is 6 and for weekends is 5
2. we do the same method as above
for the lawn ( weekdays) seat we get 20 tickets
and for the lower box (weekend) we get 6 tickets max.
3. bleachers weekend seats = 20 tickets
line box weekday seats = 19 tickets
4. both of them can give exactly 7 tickets
After conducting a t-test for independent means, if you ____________________ you are indicating that those two means are significantly different from each other. a. reject the null hypothesis b. accept the null hypothesis c. do not reject the null hypothesis d. accept the alternative hypothesis
After conducting a t-test for independent means, if you reject the null hypothesis, you are indicating that those two means are significantly different from each other. Hence option A is the answer.
What is a t-test?
A t-test for independent means is a statistical test that compares two groups' means. The null hypothesis holds that there is no substantial difference between the means of the two groups, whereas the alternative hypothesis holds that there exist a significant difference between the mean of the two groups.
If the t-test rejects the null hypothesis, this implies that there is sufficient evidence to imply that the means of the two groups differ considerably.
In other words, the observed disparity in means is unlikely to be coincidental. The t-statistic and its accompanying p-value can be used to identify the amount and direction of the difference.
We can see that in the question they are indicating that the two means are having significant difference from each other. So the answer is to reject the null hypothesis.
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Without using a calculator, fill in the blanks with two consecutive integers to complete the following inequality
Answer:
10 <√111 <11
Step-by-step explanation:
10 <√111 <11
Place given number between two consecutive integers: 10 <√111 <11
Answer: 10 <√111 <11
What is 7% of 300?
please don’t ignore this lol
Answer:
7/100×300 you get 21 lol
Answer:
7% of 300 = 21
Step-by-step explanation:
Here's how it's done:
7 ÷ 100 × 300 = 21
Hope this helps! :)
What is 142/3 simplified
Help please!!!
Answer:
47.33
Step-by-step explanation:
I solved it on paper
Answer:
142/3 as a fraction cannot be divisible but 142/3 is equal to 47 1/3
Step-by-step explanation:
142/3=47.3333333
47.3333333333 = 47 1/3
The is a picture show all details and work
(triangles)
Answer:
x: 8.75
y: 8.5
Step-by-step explanation:
Since the two triangles are similar, you can find the scale of LJK relevant to TRS by dividing 7/4 = 1.75
This means each side of LJK is 1.75 times greater than the respective side of TRS
Now you can plug this in to the other two sides by doing 5*1.75=8.75 and 6*1.75=10.5
This solves x, but since side LK is y+2, y is 10.5-2=8.5
x=8.75
y=8.5
57.9
×
0.086
HELP 7 TIME POSTING PLZ
Answer:
5.1531
Step-by-step explanation:
Look at the picture below
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.
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Ngan created a scale drawing of mr. montenegro's classroom. in the scale drawing, the length of the classroom is 16 inches. the length of the actual classroom is 40 feet. which scale did ngan use to create the scale drawing of mr. montenegro's classroom.
We need to know about scale factor to solve the problem. The scale that he used is 1/30.
It is given that the length of the classroom is in reality 40 feet but in the scale drawing the length is 16 inches. We need to find out what scale is used to create the scale drawing. We need to first convert feet to inches, and then divide the length of the drawing by the actual length to find the scale that has been used.
1 feet = 12 inches
40 feet=40x12=480 inches
scale =16/480=1/30
Therefore the scale that has been used for the drawing is 1/30.
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Write an integer for this situation: 5 feet below sea level
Mason compares two plans for an online book club. Which equation can be used to solve for the number of books, b, for which the cost of Plan A equals Plan B?.
Answer:
12b=3b+75
Step-by-step explanation:
Answer:
12b=3b+75
Step by step equation
Caleb lost 32 of his marbles when playing against his brother. if he began the game with 56 marbles, what fraction of his original marbles does he have left as a fraction?
Answer:
3/7
Step-by-step explanation:
Hey there!
To find this out, we have to put the numerator of the fraction as the number of marbles he has left, and the denominator as the number of marbles he had in total before he played
# of marbles in total - 56
# of marbles he has left - (56 - 32) 24
Fraction - 24/56
Simplify - 24/56 --> 3/7
So, the fraction of his original marbles he has left as a fraction is 3/7
The exchange rates between pounds, Singapore dollars and Hong Kong dollars are shown below. 1 Singapore dollar = £0.58 £1 = 10.50 Hong Kong dollars Tsion bought a watch in Singapore for 72 Singapore dollars. Ibrahim bought the same model of watch in Hong Kong for 399 Hong Kong dollars. What is the difference between the amounts that Tsion and Ibrahim paid for their watches? Give your answer in pounds.
The Difference in the amounts that Tsion and Ibrahim paid for their watches is £3.85.
To find the difference in the amounts that Tsion and Ibrahim paid for their watches, we need to convert the prices to the same currency. We can use the exchange rates given to convert both prices to pounds.
1 Singapore dollar = £0.58
72 Singapore dollars = 72 x £0.58 = £41.76
1 Hong Kong dollar = £0.09
399 Hong Kong dollars = 399 x £0.095 = £37.91
Therefore, Tsion paid £41.76 for the watch and Ibrahim paid £37.91 for the same model of watch.
To find the difference in the amounts paid, we can subtract the smaller amount from the larger amount:
£41.76 - £37.91 = £3.85
Therefore, the difference in the amounts that Tsion and Ibrahim paid for their watches is £3.85.
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the purpose of an entity-relationship diagram is to
The purpose of an entity-relationship (ER) diagram is to visually represent the structure and relationships between entities in a database system.
An entity-relationship diagram is a visual representation that uses various symbols and connectors to depict entities, attributes, and the relationships between them. It is commonly used in database design to model and understand the organization and interactions of data within a system.
Here are the key purposes of an ER diagram:
Entity Representation: An ER diagram helps identify and define entities, which are objects or concepts with distinct characteristics. Entities are represented as rectangles in the diagram, and their attributes are depicted within the rectangles.
Relationship Representation: The diagram illustrates the relationships between entities, showcasing how they are connected or associated. Relationships can be one-to-one, one-to-many, or many-to-many, and they are depicted using different connectors and cardinality indicators.
Data Modeling: ER diagrams provide a blueprint for designing databases by visually representing the structure and organization of data. They help database designers determine the appropriate tables, attributes, and relationships needed to store and retrieve information efficiently.
Communication and Documentation: ER diagrams serve as a communication tool between stakeholders, such as developers, designers, and clients. They provide a clear and concise visual representation of the database structure, making it easier for everyone involved to understand and discuss the system requirements.
The primary purpose of an entity-relationship diagram is to visually represent the entities, attributes, and relationships within a database system. It aids in data modeling, communication, and documentation, facilitating effective database design and promoting a common understanding among stakeholders involved in the development process.
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If in 1 hour the train can go 550 miles how long would it take to go 330 miles
Answer:
32.7 min
Step-by-step explanation:
60 x 300 = 18000 / 550 = 32.7
Write the equation of a line that is perpendicular to the line that passes through (4,−3)and (−7,8).
Line perpendicular to a given line is = 1/m
To find m, use m =y2-y1/x2-x1 formula
m = (8-(-3))/(-7-4)
m = 11/-11,
m = -1
Use y= mx+c to find equation of line
Plug in a pair of values,
-3= -1(4)+ c
c= 1
Thus, equation is:
y = -x+1
Equation of line perpendicular to this line is:
y= x+1
Hope it helps :)
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Is it possible to draw a triangle with angles 150°, 20° and 20°?
Explain your answer.
Answer:
No, it is not possible.
Step-by-step explanation:
The Triangle Sum Theorem states that all the interior angles of a triangle will always add up to 180°, but 150 + 20 + 20 = 190.
I need help! Anyone who knows this please come & answer this.
The function f(x) has a greater maximum 7.
The given function is f(x)=-3x²+6x+4 and g(x) the function in the graph.
We need to check which function has the greater maximum.
What is a maximum in the function?The maximum value of a function is the place where a function reaches its highest point, or vertex, on a graph.
The first way is graphing. You can find the maximum value visually by graphing the equation and finding the maximum point on the graph. This is especially easy when you have a graphing calculator that can do the work for you.
The maximum for the function g(x) is 6.
From the graph given below, we can see that the maximum for the function f(x) is 7.
Therefore, the function f(x) has a greater maximum 7.
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4) Find the LCM of 20 and 9
Answer:
least common multiple is 180
Explain! Prize! Thank you!!!!
Answer:
b
Step-by-step explanation:
If someone could help me with these two problems please.
( will mark brainliest if correct )
Answer: 7. 140° 8. 60°
Step-by-step explanation:
7.
A internal angle of a convex poligon is:
\(\displaystyle\\x=\frac{(n-2)180^0}{n} \\\\n=9\\\\So,\\\\x=\frac{(9-2)180^0}{9} \\\\x=7*20^0\\\\x=140^0\)
8.
\(\displaystyle\\x=\frac{(n-2)180^0}{n} \\\\n=3\\\\So,\\\\x=\frac{(3-2)180^0}{3} \\\\x=1*60^0\\\\x=60^0\)
Revision 1. Find the value of the variable that makes these number sentences true: a) h+8=19 b) 2p-6=4 c) y = 12 2. Substitute the value for x in order to find the value of y in the following: a) y=3x+2 ifx=8 b) y=4x-1 ifx=! c) y=0,2x+5 ifx=10 d) y = 10x+12 if x=0,3 3. Write the following as number sentences: a) The difference between two numbers is 25 b) The product of 5 and p is equal to the quotient of q and 2 c) The difference between 14 and 2y is equal to 6 d) The product of 15 and 4 is equal to four less than the sum of x and y. that represent these word problems.
1. The values which the given number sentences true are:
a) 11 b) 5 c) 36
2. After substituting the value of x we get the value for y as :
a) 6 b) 0 c) 7 d) 15
3. The number sentences are :
a) x ₋ y = 25
b) 5 × p = q ÷ 2
c) 2y ₋ 14 = 6
d) 15 × 4 = 4 ₋ (x₊y)
Given in the first bit we need to find the variables:
a) h ₊ 8 = 19
arrange the constants on one side.
h = 19 ₋ 8
h = 11
b) 2p ₋ 6 = 4
arrange the constants on one side.
2p = 4 ₊ 6
2p = 10
p = 10/2
p = 5
c) 1/3 y = 12
cross multiply.
y = 36
Now in the second exercise we are asked to substitute the x value and get the value of y.
a) y = 3x ₊ 2 if x =8
substitute x value in the equation.
y = 3(8) ₊ 2
y = 24 ₊ 2
y = 26
b) y = 4x ₋ 1 if x = 1/4
y = 4(1/4) ₋ 1
y = 1 ₋ 1
y = 0
c) y = 0.2x ₊ 5 if x = 10
y = 0.2(10) ₊ 5
y = 2 ₊ 5
y = 7
d) y = 10x ₊ 12 if x = 0.3
y = 10(0.3) ₊ 12
y = 3 ₊ 12
y = 15
In the last third bit we need to frame equations for the given word problems.
a) The difference between two numbers is 25.
let the two numbers be x and y.
x ₋ y = 25.
b) The product of 5 and p is equal to quotient of q and 2.
5 × p = q ÷ 2
c) The difference between 14 and 2y is equal to 6.
2y ₋ 14 = 6
d) The product of 15 and 4 is equal to four less than the sum of x and y.
15 × 4 = 4 ₋ (x₊y)
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There are 4,328 people at a football
game. There are 6 times as many
people at a baseball game. How many
people are at the baseball game?
4) 24,828
6) 24,968
7) 25,828
8) 25,968
You have three sticks. Each stick has one red side and one blue side. You throw the sticks 10 times and record the results. Use the table to find the experimental probability of the event.
Answer:
4 + 4 + 2 = 10
3) 3/10 or 0.3
4) 2/10 = 1/5 or 0.2
5) 4/10 = 2/5 or 0.4
6) 2 + 4 + 0 = 6 so 6/10 = 3/5 or 0.6
i think its this. i hop i helped?
Step-by-step explanation:
What should be done first to evaluate the expression?
4 + 8 ÷ 4 - 2 × 5
Add 4 and 8.
Divide 8 by 4.
Subtract 2 from 4.
Multiply 2 by 5.
Divide 8 by 4
Because is PEDMAS, division comes first.
Answer:
divide 8 by 4
Step-by-step explanation:
PEMDAS or BODMAS