You wish to take a flight from Nevada to New York. Use the point (-4,0) to represent Nevada, aand the (5,2) to represent New York. The airline had partitioned the flight so that you have a layover. The flight distance is partitioned in a ratio 3:2. Determine the ordered pair that represents the location of the layover. What state will you be in when you have the layover?
Answers
To answer this question we will use the following formulas to compute the coordinates of the point that divides a segment with terminal points (x₁,y₁) and (x₂,y₂) at a given ratio a:b:
\(\begin{gathered} x=\frac{bx_1+ax_2}{b+a}, \\ y=\frac{by_1_{}+ay_2}{b+a}\text{.} \end{gathered}\)Therefore, the coordinates that represent the location of the layover are:
\(\begin{gathered} x=\frac{2\times(-4)+3\times5}{2+3}, \\ y=\frac{2\times0+3\times2}{2+3}\text{.} \end{gathered}\)Simplifying the above results we get:
\(\begin{gathered} x=\frac{-8+15}{5}=\frac{7}{5}=1.4, \\ y=\frac{0+6}{5}=\frac{6}{5}=1.2. \end{gathered}\)Now, from the given map, we get that the point (1.4,1.2) is on Iowa.
Answer:
The ordered pair that represents the location of the layover is:
\(\mleft(1.4,1.2\mright)\text{.}\)The state at which we will be during the layover is Iowa.
Related Questions
Can you please tell me the sum of the question
Answers
Answer:
B) \(4i\sqrt{2}\)
Step-by-step explanation:
\(\sqrt{-2}=i\sqrt{2}\\\sqrt{-18}=i\sqrt{18}=i\sqrt{9*2}=3i\sqrt{2}\\\\\sqrt{-2}+\sqrt{-18}=i\sqrt{2}+3i\sqrt{2}=4i\sqrt{2}\)
Help me please :(
The number of bacteria in a culture is given by the function
n(t)=945e^0.2t
where t is measured in hours.
(a) What is the relative rate of growth of this bacterium population?
Your answer is ---------- percent
(b) What is the initial population of the culture (at t=0)?
Your answer is ------------
(c) How many bacteria will the culture contain at time t=5?
Your answer is --------------
Answers
Answer:
Step-by-step explanation: Expert-Verified Answer
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Using the exponential function, it is found that:
a) 45 percent.
b) 950.
c) 9013 bacteria.
A exponential function is modeled by:
In which:
n(0) is the initial value.
k is the continuous rate of growth.
In this problem, the model is:
Hence, , and:
a) 45 percent.
b) 950.
Item c:
At t = 5, we have that:
So 9013 bacteria.
Sales tax in a certain community is 5%. If the sales tax on a new car was $1400, what was the selling price of the car?
Answers
Answer:
28000
Step-by-step explanation:
Answer:
1400 is 5 percent. So 28000 is the price of the car
Step-by-step explanation:
5 percent times 20 is 100 percent
Determine the missing number in the equation 3+7=+4 ANSWER QUICKLY PLEASE
Answers
Answer:
-6
Step-by-step explanation:
3+7=10
10-6=4
so 3+7-6=+4
hope this helps
Answer:
6
Step-by-step explanation:
= means the same as
3+7 = 10
therefore 4 + ?=10
10-4=6
therefore the missing number is 6
=6
If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a club or spade? (Your answer must be in the form of a reduced fraction.)
Answers
Answer:
39/52
__________________________
Which of the following is a solution to this inequality?
y<2/3x+2
(0, 3)
(−3, 1)
(3, 5)
(1, 2)
Answers
Answer:
(d) (1, 2)
Step-by-step explanation:
You want to know which of the given points satisfies the inequality.
GraphWe find it easiest to plot the given points on a graph of the solution. This shows us that (1, 2) is a solution to the inequality. (It lies in the solution area.)
__
Additional comment
Another way to choose the answer is to try each of the points in the inequality.
If you can visualize the boundary line (without plotting it) as a line with positive slope and a y-intercept of 2, you can more readily reject the first choice and accept the last choice. (0, 3) is above the y-intercept, and (1, 2) is to the right of it (in the solution space).
You may also recognize the x-intercept will be -3, so the second choice lies above the boundary line.
Find the domain of the function expressed by the formula: b y= 1/x −7
Answers
Answer:
All real numbers except 7
Step-by-step explanation:
Classify angle ABC on side length and angles measure
Answers
Answer:
isosceles, acute
Step-by-step explanation:
isosceles because there are two equal sides and acute because none of the angles is greater than 90 degrees
The International Space Station has small cupboards that are used for storage. A cupboard door is drawn below. (Look at picture)
What is a formula that can be used to find the area of one triangular section of the door? How do you know the formula will work?
(Please make answer simple yet reasonable. Thank you for answering, have a blessed day everyone! I am thankful to have people to help and support me.)
Answers
By using trigonometric relations we will see that the area is:
\(A = h*tan(60\°)*/2 = tan(60\°)*h^2/2\)
How to find the area of one triangular section?
Remember that the area of a right triangle is equal to the product between the cathetus divided by 2.
Sadly, here we don't have the measures of any sides of the triangle, so getting the actual area is impossible, but if we assume that some dimension is given (like the height, let's say that is h).
h is the cathetus adjacent to the 60° angle, then the other cathetus (the bottom one) is given by:
tan(60°) = x/h
x = tan(60°)*h
Then our two catheti are h and tan(60°)*h.
This means that the area will be:
\(A = h*tan(60\°)*/2 = tan(60\°)*h^2/2\)
Here we only used trigonometric properties, so this area will work for any height given (always that the value of h is the cathetus adjacent to the 60° angle).
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Answer:
the guy on top is correct
Step-by-step explanation:
It costs $3.45 to buy 3/4 lb of chopped walnuts. How much would it cost to purchase 7.5 lbs of walnuts.
Answers
Answer:
$34.50
Step-by-step explanation:
First find out how much 1lb of chopped walnuts costs.
so you multiply by 4/3
so 1 lb costs $4.60
so get the price of 7.5 lbs you need to multiply the price of one lb with 7.5
so 7.5 * $4.60 = $34.50
Which of the following is a true statement of the figure?
An image of a triangle ABC. The angle bisector of angle B is ray BD. Point D lies on side AC.
Question 1 options:
A
D
D
C
=
D
C
C
B
A
C
A
B
=
D
B
D
C
A
D
D
C
=
A
B
C
B
B
C
B
A
=
D
C
C
B
Answers
Angle ∠EBD is congruent to angle ∠DBA. Option D is the true statement.
What is an angle bisector?An angle bisector is the line segment that bisects the angle into two equal halves.
Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
Ray BE is a bisector of angle CBA,
∠CBE = ∠EBA = 60°
∠EBD = ∠EBA - ∠DBA
∠EBD = 60 - 30 = 30
So,
∠EBD = ∠DBA [DB becomes angle bisector of angle EBA]
Thus, ∠EBD is congruent with ∠DBA is the only correct answer among the option.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
Which of the following statements is true if ray BE is a bisector of angle CBA?
A. Ray BD is a bisector of angle CBA.
B. ∠EBD is congruent to ∠CBE.
C. Ray BE is a bisector of angle ABE.
D. ∠EBD is congruent to ∠DBA.
What is the return on equity for a firm with 15% return on assets, 10% return on debt, and a .75 debt/equity ratio?
Answers
The return on equity for the firm is 18.75%.
Return on equityReturn on equity=Return on assets +[ (Debt/Equity ratio)×(Return on assets-Return on debt)]
Let plug in the formula
Return on equity=.15+ [(.75)× (.15-.10)]
Return on assets=.15+ (.75×0.05)
Return on assets=.15+0.0375
Return on equity=0.1875×100
Return on equity=18.75%
Therefore the return on equity ratio is 18.75%.
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Three pizza are shared equally among 12 people.what fraction of a pizza will each person get?
A
4/1
B
3/1
Answers
Answer:
d) 1/12
Step-by-step explanation:
how many solutions does the eqaution below have? 4x-3-2x+5=6-3x+2+5x
Answers
Answer:
4x - 3 - 2x + 5 = 6 - 3x + 2 + 5x
2x + 2 = 2x + 8
2 ≠ 8, so this equation has no solutions.
Answer:
No solution
Step-by-step explanation:
Given:
\(4x-3-2x+5=6-3x+2+5x\)
rearrange terms so like terms are together
\(4x-2x-3+5=6+2-3x+5x\)
combine like terms
\(2x+2=8+2x\)
subtract 2x to both sides
\(2\neq 8\)
2 doesn't equal 8, meaning that there are 0 solutions to this problem.
Hope this helps! :)
At the July 1980 Olympics, the record for the women's shot put was 22.41 meters, which was 5.09 meters less than double the 1948 Olympic winning distance. What was the women's winning shot put distance in the 1948 Olympics?
Answers
27.5/2=13.75
Laxman and Virat together can complete a piece of work in 8 days and Laxman alone can complete it in 12 days in how many days would Bharat alone complete the work
Answers
Answer:
14 days
Step-by-step explanation:
A soda factory makes 9 flavours of soda. Each case of soda has 7 cans of each flavour. How many cans of soda does the factory put in 7 cases?
Answers
The factory will put 441 cans of soda in 7 cases.
If each case of soda contains 7 cans of each flavor, and the factory is putting 7 cases, we can calculate the total number of cans by multiplying the number of flavors, cans per flavor, and cases.
Given:
Number of flavors = 9
Cans per flavor = 7
Number of cases = 7
To calculate the total number of cans, we can multiply these values:
Total cans = Number of flavors × Cans per flavor × Number of cases
Total cans = 9 × 7 × 7
Total cans = 441
To arrive at this answer, we multiplied the number of flavors (9) by the number of cans per flavor (7) to get the number of cans per case (63). Then, we multiplied the cans per case (63) by the number of cases (7) to obtain the total number of cans (441).
Hence, the factory will put 441 cans of soda in 7 cases.
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It's in the picture !
Answers
The position of √17 between 4 and 5, which is nearer 5, and the location of 6, which is between 2 and 3, which is nearer 2.
What is Number line?A visual representation of real numbers in a linear manner is a number line. It is a straight line that is divided into intervals or segments, each of which stands for a distinct real number value.
Number lines can be vertical or horizontally oriented, and they can also have a positive or negative orientation. Positive numbers often extend to the right or up, whereas negative numbers typically extend to the left or down. The origin of the number line, or zero, is typically situated in the middle of the line.
The number line is a crucial tool in mathematics since it offers a means of representing numerical relationships visually and carrying out fundamental arithmetic operations. For instance, positive and negative motions along a number line can be used to depict addition and subtraction, respectively, with positive movements denoting addition and negative movements denoting subtraction. On a number line, multiplication and division can alternatively be shown as repeated addition or subtraction.
If we have a number line with the proper markings, we may indicate where the square roots of 17 and 6 are located as follows:
To begin, determine the approximate square root values:
√17 is between 4 and 5, since 4² = 16 and 5² = 25.
√6 is between 2 and 3, since 2² = 4 and 3² = 9.
Place the number √17 closer to 5, between 4 and 5.
Place the number √6 between the numbers 2 and 3, closer to 2.
Since 6 and 17 are not integers and their values are not evenly spaced, it should be noted that their markings will not be evenly spaced on the number line.
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Number line attached below,
Simplify the following expressions, SHOW UR SOLUTIONS PLS
Answers
Answer:
Q1. 3² × 3² × x² = 9 × 9 × x²
= 81x²
Q2. (2x)² × (3x)² = 4x² × 9x²
= 36x⁴
Q3. \((-\frac{5}{6} )^{3}\) \(=-\frac{125}{216}\)
Q4. \((\frac{3a^{5} }{4b^{4}}) ^{3}=\frac{27a^{15} }{64b^{12} }\)
Q5. \((\frac{8a^{2} b^{4}c^{23} }{26a^{13}b^{5}c^{2} }) ^{3} = (\frac{4c^{21} }{13a^{11}b } )^{3}\)
\(=\frac{64c^{63} }{2197a^{33}b^{3} }\)
Q6. \(-4^{-1}= (-\frac{4}{1} )^{-1}\)
\(=(-\frac{1}{4} )^{1}\)
\(=-\frac{1}{4}\)
Q7. \((2r)^{-2}=(\frac{2r}{1} )^{-2}\)
\(=(\frac{1}{2r} )^{2}\)
\(=\) \(\frac{1}{2r}\) × \(\frac{1}{2r}\)
\(=\) \(\frac{1}{4r^{2} }\)
Q8. \((\frac{xy}{ab^{3} } )^{-1} = (\frac{ab^{3} }{xy} )^{1}\)
\(=\frac{ab^{3} }{xy}\)
Q9. \(9x^{0} = 9(1)\)
\(=9\)
Q10. \((-4r^{5}s^{6} t^{-7} )^{0} = 1\)
Fill in the blanks to write this function when X=3
h(x)=-4x-7, when x=3
Answers
Reasoning:
Since x = 3 all you have to do is substitute all the X’s in the equation for the pre then you multiple -4 and 3 coming to -12 then you subtracted 7 coming out to -19
Answer:
h ( 3 ) = - 19
Step-by-step explanation:
Substitute 3 for x in the function and simplify:
h(x) = -4x – 7
h(3) = -4(3) – 7
= -12 – 7
= -19
The sum of two numbers is 20.8 and their difference os 10.2. Find these numbers.
Answers
Answer:
the numbers are 10.6 and 10.2
In a garden, a birdbath 2 ft 6 in. tall casts an 18 in. shadow at the same time an oak tree casts a 90 foot shadow. How tall is the oak tree in feet?
Answers
Answer:
150 ft tallStep-by-step explanation:
first, lets first convert 2ft 6in to ft:
since ft=12 in, 6=0.5 ft
thus, the height of the birdbath is 2+0.5 ft=2.5ft
now, lets convert 18 inch shadow to ft:
since ft=12 in, 18=1.5 ft
now, we can use the following proportions to solve this problem:
2.5/1.5=x/90
1.5x=90*2.5
1.5x=225
x=225/1.5
x=150
Thus, the oak tree in the garden is 150 ft tall
How much could they charge per ticket to break-even (make $0 profit)?
Answers
Answer:
I don't think I understand but I will do my best. to get $0 profit you could give the tickets out for free
Step-by-step explanation:
also CREATI stop deleting my answers please!
What is the volume of a square pyramid with base edges of 18 cm and a slant height of 15 cm?
Answers
Answer:
the volume of the square pyramid is 2430 cubic cm
Answer:
1296 cm³
Step-by-step explanation:
V = a² x [√s²- (a/2)²] / 3
a = 18 cm
s = 15 cm
V = 18² x [√15²-(18/2)²] / 3 = 18² x [√225-81] / 3
V = 324 x (√144/3) = 1296 cm³
3 - 2 * r = 5 please what is the solution for r ?
Answers
Answer:
-1
Step-by-step explanation:
3-2*r=5
-2*r=5-3
-2*r=2 /:(-2)
r= -1
Step-by-step explanation:
ANSWER:-\( \sf{3 -2 \times r \: = 5}\)
\( \sf{3 - 2r = 5}\)
\( \sf{ - 2r = 5 - 3}\)
\( \sf{ - 2r = 2}\)
\( \sf{ r = \dfrac{\cancel{2}}{\cancel{-2}}}\)
\( \boxed{ \bf{r = - 1}}\)
PLEASE PLEASE HELP I WILL MARK THE BRAINLIEST!!!!!
Answers
Answer:
The average cost of a cat's annual visit is about $23.71 less at A New Leash on Life Animal Clinic than the average cost for a cat's annual visit at No Ruff Stuff Animal Hospital.
Explanation:
As you can see from the data and graph given, the Mean is essentially the average cost and $101.13 (New Leash on Life) is $23.71 less than $121.84 (No Ruff Stuff Animal Hospital).
– THE ODDS IN FAVOR OF BORIS PENZED WINNING THE HOT
DOG EATING CONTEST ARE 2:7. FIND THE PROBABILITY THAT BORIS WILL WIN
THE CONTEST.
Answers
The probability that Boris will win the contest is:
P = 0.286
How to get the probability?
For some given odds a:b, the probability is just computed as the quotient between a and b, which gives:
P = a/b
In this case, the odds are 2:7, so the probability that Boris will win the contest is:
P = 2/7 = 0.286
Written in percentage form, we get:
P = 28.6%
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X^2+8x+7 I need help
Answers
Answer:
x = - 7, x = - 1
Step-by-step explanation:
Assuming you require the expression solved.
To solve, equate to zero
x² + 8x + 7 = 0 ← in standard form
(x + 7)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x + 1 = 0 ⇒ x = - 1
Which of the following numbers is the arithmetic mean for the other
numbers?
26,28,29,30,37
Answers
Answer:
to find the answer we have add all the numbers given then divide by number of items
Step-by-step explanation:
26+28+29+30+37= 150
as there are 5 numbers we divide 150/5=30
there for the arithmetic mean for the other numbers is 30
hope you understood
The box plots display data collected when two teachers asked their classes how many pencils they lose in a school year.
A box plot uses a number line from 5 to 47 with tick marks every one unit. The box extends from 8 to 14 on the number line. A line in the box is at 11. The lines outside the box end at 7 and 45. The graph is titled Mr. Johnson's Class, and the line is labeled Number Of Pencils.
A box plot uses a number line from 0 to 51 with tick marks every one unit. The box extends from 12 to 21 on the number line. A line in the box is at 14.5. The lines outside the box end at 0 and 50. The graph is titled Mr. Simpson's Class, and the line is labeled Number Of Pencils.
Which class lost the most pencils overall based on the data displayed?
Mr. Simpson's class; it has a larger median value 14.5 pencils
Mr. Johnson's class; it has a larger median of 11 pencils
Mr. Simpson's class; it has a narrow spread in the data
Mr. Johnson's class; it has a wide spread in the data
Answers
Answer:
A) Mr. Simpson's class; it has a larger median value 14.5 pencils.
Step-by-step explanation:
A box plot is a visual display of the five-number summary:
Minimum value = The value at the end of the left whisker.Lower quartile (Q₁) = The left side of the box.Median (Q₂) = The vertical line inside the box.Upper quartile (Q₃) = The right side of the boxMaximum = The value at the end of the right whisker.From inspection of the box plots (attached), the measures of central tendency (median) and dispersion (range and IQR) are:
Mr Johnson's class:
Median = 11IQR = Q₃ - Q₁ = 14 - 8 = 6Range = max - min = 45 - 7 = 38Mr Simpson's class:
Median = 14.5IQR = Q₃ - Q₁ = 21 - 12 = 9Range = max - min = 50 - 0 = 50In a box plot, the median is a measure of central tendency and tells us the location of the middle value in the dataset. It divides the data into two equal halves, with 50% of the values falling below the median and 50% above it.
The median number of pencils lost in Mr Simpson's class is greater than the median number of pencils lost in Mr Johnson's class. Therefore, Mr. Simpson's class has a larger median value.
The spread of data in a dataset can be measured using both the range and the interquartile range (IQR).
As Mr Simpson's class has a greater IQR and range than Mr Johnson's class, the data in Mr Simpson's class is more spread out than in Mr Johnson's class.
In summary, as Mr Simpson's class has a larger median 14.5 and a wider spread of data, then Mr Simpson's class lost the most pencils overall.
