we have the vector <2,-5>
the terminal point is (-6,-1)
when we have this kind of problems, in order to know the initial point we need to subtract the vector from the final point
initial point (-6-2,-1+5)=(-8,4)
the initial point is (-8,4)
any jus want to help with this? i attached the picture
1. The difference in the distance of Jupiter from the sun than Mercury will be 4.816.
2. The difference in the distance of Neptune from the sun than Mars will be
3. The greatest distance between Earth and Uranus is Uranus.
4. The greatest distance between Venus and Saturn is Saturn
How to calculate the distance?From the information, the average distance from the sun to each planets have been given. The difference in the distance of Jupiter from the sun than Mercury will be:
= 5.203 - 0.387
= 4.816
The difference in the distance of Jupiter from the sun than Mars will be:
= 30.07 - 1.524
= 28.546
The greatest distance between Earth and Uranus is Uranus and the greatest distance between Venus and Saturn is that of Saturn.
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If two lines intersect to form a right angle, then they are
..(perpendicular, parallel, obtuse
QUICK! 40 points. Consider this cone with the diameter measure of 17 inches.
A cone with diameter 17 inches and slant height of 22 inches.
What is the surface area of the cone?
SA = Pir2 + Pirl
A. 204Pi in.2
B. 259.25Pi in.2
C. 446.25Pi in.2
D. 663Pi in.2
259.25π in² is the surface area of the cone
The surface area of a cone can be calculated using the formula SA = πr² + πrl
where r is the radius and l is the slant height.
Given that the diameter is 17 inches, the radius (r) is half of the diameter, which is 17/2 = 8.5 inches.
The slant height (l) is given as 22 inches.
Substituting these values into the formula:
Surface Area = π(8.5)² + π(8.5)(22)
= 72.25π + 187π
= 259.25π
Therefore, the surface area of the cone is 259.25π in²
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Why do you multiply by the power of 10 when writing a repeating decimal as a rational number
Answer:
We'd like to take a repeating decimal and express it as a quotient of two whole numbers. The idea is to multiply by some number (10, 100, 1000, etc.) so that when we subtract the original number from the multiple, the repeating part cancels out. If we multiply by 10, we get 10x = 2.
Step-by-step explanation:
1.28 = 128 * 10^-2
128 * (1/10^2)
128 / 10^2
128 / 100
= 1.28
Because, it's literally the same thing mathematically if you worked it out. Though, as I'm sure you're aware, it's just a much shorter and cleaner way of writing out large or small numbers.
In the equation x/6 = 9 what operation do you need to use to get the
variable x by itself?
Answer:
Multiplication
Step-by-step explanation:
To get X alone, you multiply by 6 to each side so that the left side cancels out, getting the variable by itself.
The final equation would be X=54.
Answer:
Multiplication
Step-by-step explanation:
You can see there is a division with the 6, and to get rid of 6, you need to multiply it :)
A coffee merchant sells two blends of coffee. Each pound of blend A contains 80% Mocha Java and 20% Jamaican and sells for $3 a pound. Each pound of blend B contains 35% Mocha Java and 65% Jamaican and sells for $2.25 a pound. The merchant has available 1000 pounds of Mocha Java and 600 pounds of Jamaican. Let x be the number of pounds of blend A and y be the number of pounds of blend B. The merchant will try to sell the amount of each blend that maximizes her Revenue. Let X be the number of pounds of blend A and Y be the number of pounds of blend B.
a. In the situation above, the objective function is: ___________
b. Since the merchant above has available 1000 pounds of Mocha Java, one constraint that must be satisfied is:
c. Since the merchant above has available 600 pounds of Jamaican, one constraint that must be satisfied is:
The table below shows the amount Amelia earned babysitting. Find the rate of change
Answer:
1 : 8
Step-by-step explanation:
Answer:
$8 per hour
Step-by-step explanation:
First you have to do 16/2 or 32/4 to get your answer which is 8
Hope this helps!
The Carousel on the National Mall has 4 rings of horses. Kiran is riding on the inner ring, which has a radius of 9 feet. Mai is riding on the outer ring, which is 8 feet farther out from the center than the inner ring is.
One rotation of the carousel takes 12 seconds. How much faster does Mai travel than Kiran? (Round to the nearest tenth)
Mai travels abοut 4.2 feet per secοnd faster than Kiran.
What is circumference?Circumference is the distance arοund the οutside οf a circle. It is the length οf the bοundary that enclοses a circle. Tο find the circumference οf a circle, yοu can use the fοrmula C=2πr, where "C" represents the circumference, "π" is a mathematical cοnstant (apprοximately equal tο 3.14159), and "r" is the radius οf the circle (the distance frοm the center οf the circle tο its edge). Sο, the circumference οf a circle is directly prοpοrtiοnal tο its radius. This means that if yοu dοuble the radius οf a circle, its circumference will alsο dοuble.
The circumference οf Kiran's ring is:
C1 = 2πr1 = 2π(9 ft) ≈ 56.55 ft
The circumference οf Mai's ring is:
C2 = 2πr2 = 2π(r1 + 8 ft) = 2π(17 ft) ≈ 106.81 ft
Therefοre, Mai travels a distance οf 106.81 - 56.55 = 50.26 feet mοre than Kiran in οne rοtatiοn.
The time it takes fοr οne rοtatiοn is given as 12 secοnds. Therefοre, the speed οf Kiran in feet per secοnd is:
V1 = C1 / t = 56.55 ft / 12 s ≈ 4.71 ft/s
And the speed οf Mai in feet per secοnd is:
V2 = C2 / t = 106.81 ft / 12 s ≈ 8.90 ft/s
The difference in their speeds is:
V2 - V1 = 8.90 ft/s - 4.71 ft/s ≈ 4.2 ft/s
Therefοre, Mai travels abοut 4.2 feet per secοnd faster than Kiran.
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in how many ways can the letters of MCHNLRN be arranged
Answer:
2520
Step-by-step explanation:
There are 7 letters in MCHNLRN and they can be arranged into 7 ways:
7! = 5040 ways in total
However, the letter 'N' is repeated so we have to divide it by 2.
5040 ÷ 2 = 2520 ways
Answer:
2,520 ways
Step-by-step explanation:
MCHNLRN has 7 letters with one repetition.
therefore, =7!/2!
=2,520 ways
Find the missing angle.
Answer:
m∠EBF = 47°
Step-by-step explanation:
Just subtract 133 from 180.
What is the base higher and area
Answer:
5
8
20
Step-by-step explanation:
Answer:
Base: 6 units. Height: 4 units. Area: 24 units.
Step-by-step explanation:
To find the base of the parallelogram, it is literally the bottom line of the parallelogram. In this case, it is the line below the x-axis that is also parallel to it. To find the length of the base line, just count the squares between both ends of the line. There are 6 squares, so the base is 6 units long. To find the height of the parallelogram, you count the squares (units) between the bottom and top lines of the parallelogram, both parallel to the x-axis. There are 4 squares between the lines, so the height of the parallelogram is 4 units. To find the area of a parallelogram, multiply the base by the height. 6 * 4 = 24, so the area of the parallelogram is 24 units.
The half-life of the radioactive element unobtanium-43 is 10 seconds. If 48 grams of unobtanium-43 are initially present, how many grams are present after 10
seconds? 20 seconds? 30 seconds? 40 seconds? 50 seconds?
Answer:
At time, 10 seconds, the mass remaining is 24 grams
At time, 20 seconds, the mass remaining is 12 grams
At time, 30 seconds, the mass remaining is 6 grams
At time, 40 seconds, the mass remaining is 3 grams
At time, 50 seconds, the mass remaining is 1.5 grams
Step-by-step explanation:
Given;
initial mass of the radioactive element = 48 grams
half life, t = 10 seconds
time of decay (s) remaining mass of the radioactive element
0 ------------------------------------------------- 48 grams
10------------------------------------------------- 24 grams
20 ------------------------------------------------- 12 grams
30 -------------------------------------------------- 6 grams
40 --------------------------------------------------- 3 grams
50 ----------------------------------------------------- 1.5 grams
60------------------------------------------------------0.75 grams
Thus;
At time, 10 seconds, the mass remaining is 24 grams
At time, 20 seconds, the mass remaining is 12 grams
At time, 30 seconds, the mass remaining is 6 grams
At time, 40 seconds, the mass remaining is 3 grams
At time, 50 seconds, the mass remaining is 1.5 grams
what's 3/4 as a percent?
Answer:
75%
Step-by-step explanation:
Think about quarters
1=25
2=50
3=75.......3/4
4=100
Answer:
75% hope this helps since 75/100
What of the following graph that is a straight line? 1:y =2x +7 or 2:y² = x-7 or y= 2x²+4 or y= 3x³
Answer:
1. y = 2x + 7
Step-by-step explanation:
The equation of a linear function is y = mx + b. The "x" has to be a first-degree polynomial (no exponents).
Trình bày phương pháp tìm ma trận nghịch đảo bằng phép biến đổi sơ cấp. Áp dụng tìm ma trận nghịch đảo của ma trận
Answer:
bukhayung saging my faborito
Can the following list represent a complete probability model? P(2)= 1/12 P(3) = 2/3 P(4) = 1/4
Therefore , the solution of the given problem of probability comes out to be a complete probability model cannot be represented by this list.
What exactly is probability?The main objective of each considerations technique is to calculate the likelihood that a claim is true or that a particular incident will occur. Anything between 0 and 1, were 0 traditionally denotes a percentage and 1 typically denotes the degree of certainty, can be used to represent chance. A probability illustration shows the likelihood that a particular event will occur.
Here,
The probabilities assigned to the outcomes do not add up to 1, hence the following list cannot be a complete probability model.
=> P(2) + P(3) + P(4)
=> 1/12 + 2/3 + 1/4
=> (1 + 8 + 3) / 12
=> 12 / 12 = 1
In a complete probability model, the total of the probabilities should always be equal to 1, indicating that there is a probability of 1 that one of the events will occur.
In this instance, there is a missing probability since the sum of the probabilities assigned to the possible possibilities is less than 1.
Therefore, a complete probability model cannot be represented by this list.
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A tire shop counted 80 invoices at the end of the month. They charge $325 for a set of new tires and $50 for a set of used tires. The total dollar amount of the invoices was $6,750. Let x represent the number of sets of new tires and y represent the number of sets of used tires. Which system of equations represents the situation?
a. x+y=80
325z=50y + 6,750
b. z+y=80
325x=-50y+6750
c. x+y=80
325x=-50y-6750
d. x+y=80 -325z=-50y + 6,750
Answer:
\(x+y = 80\\325x+50y = 6, 750\)
Step-by-step explanation:
Le x represents the set of new tires
Let y be the set of used tires
If a tire shop counted 80 invoices at the end of the month, then the equal that represents the total amount of invoices counted at the end of the month is:
\(x+y = 80 ............ 1\)
If they charge $325 for a set of new tires, the total amount charged for new tires will be:
\(325 \times x \\325x\)
If they charge $50 for a set of used tires, the total amount charged for used tires will be:
\(50 \times y\\50y\)
If the total dollar amount of the invoices was $6,750, then the expression that models the amount generated on tickets will be:
\(325x+50y = 6,750 .............. 2\)
Hence the system of equations represents the situation is:
\(x+y = 80\\325x+50y = 6, 750\)
Answer:
x + y = 80
325x = -50y + 6,750
Step-by-step explanation:
is 2/8 bigger than 1/2
Answer:
No
Step-by-step explanation:
2/8 is 1/4 when simplified. 1/2 is bigger than 1/4.
The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport
49 students, requires 6 chaperones, and costs $1,200 to rent. Each van can transport 7 students, requires
1 chaperone, and costs $100 to rent. Since there are 441 students in the senior class that may be eligible to go on
the trip, the officers must plan to accommodate at least 441 students. Since only 60 parents have volunteered to
serve as chaperones, the officers must plan to use at most 60 chaperones. How many vehicles of each type should
the officers rent in order to minimize the transportation costs? What are the minimal transportation costs?
The minimal transportation cost is 9900 with 7 buses and 15 vans.
How to solveBus Van Available
No of students 40 8 400
Chaperons 3 1 36
cost 1200 100
Let x be the no of buses and y the vans
The objective is to minimize total cost Z = 1200x + 100y
Then 40x+8y >=400 or 5x+y>=50
3x+y<=36
Hence feasible solutions are
(10,0) (12,0) and (7,15)
Z for (10,0) = 12000
Z for (12,0) = 14400
Z for (7,15) = 9900
Hence, the minimal transportation cost is 9900 with 7 buses and 15 vans.
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What is the solution
9 • x = –63?
En una plaza Lucio camina en tramos rectos, a partir del asta bandera, en un punto cambia la dirección girando 150º a su izquierda, avanza 64 metros y se detiene. Para regresar al asta tiene que girar 75º a la izquierda, ¿A qué distancia se encuentra del punto inicial?
Lucio is 64 meters from the starting point.
How to solveThe square has four sides of equal length, so Lucio has walked half the length of one side.
To return to the starting point, he needs to walk the other half of the side, which is 64 meters.
The angle Lucio turns is irrelevant, as long as he turns 180 degrees in total.
With this in mind, it can be seen that based on the parameters and the conditions, Lucio is 64 meters from the starting point because the angle to which he turns is irrelevant.
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The question in English:
In a square Lucio walks in straight sections, starting from the flagpole, at one point he changes direction turning 150º to his left, advances 64 meters and stops. To return to the pole you have to turn 75º to the left. How far are you from the starting point?
An investment account was opened with an initial deposit of 9,600 and earns 7.4% interest compounded continuously, how much will the account be worth after 15 years?
Answer:
10,656
Step-by-step explanation:
I=PRT
I=(9600)(0.074)(15)
Multiply those
I=10,656
In 15 years, will have $28,011.44 if 7.4% interest compounded continuously.
What is interest ?The cost of borrowing money is called interest, and it is typically stated as a percentage, such as an annual percentage rate (APR).Lenders may charge interest to borrowers for using their funds, or borrowers may charge interest to lenders for using their funds.Interest is frequently regarded as compound interest or simple interest (based on the principal amount) (based on principal and previously-earned interest).Credit cards, mortgages, auto loans, personal loans, savings accounts, and penalty assessments are all frequently linked with interest.The macroeconomic policy set by the Federal Reserve's federal funds rate has a significant impact on interest rates.To learn more about interest, refer to
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Of the 32 students in Joe's class, 8 students ride their bikes to school, 5 walk to school, 4 get a ride to school in a car, and 15 take the bus to school. What is the experimental probability of choosing a student who walks to school?
The experimental probability of choosing a student who walks to school is given by 0.15625 or 15.625%.
Given data ,
The experimental probability of choosing a student who walks to school can be calculated by dividing the number of students who walk to school by the total number of students in Joe's class.
Number of students who walk to school = 5
Total number of students in the class = 32
Experimental probability = Number of students who walk to school / Total number of students
= 5 / 32
P = 0.15625
Hence , the experimental probability of choosing a student who walks is 0.15625 or 15.625%.
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i need help with this
Answer:
Yes Jeff is the correct answer
Step-by-step explanation:
Determine if the following statement is true or false.When dividing two variables with the same base, you dividethe exponents.
False
Explanation
let's remember some properties of the exponents
\(\begin{gathered} a^m=a\cdot a\cdot a\cdot a\ldots m\text{ times} \\ \frac{a^m}{a^n}=a^{m-n} \\ a^m\cdot a^n=a^{m+n} \end{gathered}\)so
when dividing two variables with the same base, you subtract the exponents
Therefore, the answer is
False
I hope this helps you
There are six pizzas there are 36 players on the team. If each member has one slice and each pizza has eight slices how much pizza in fraction form will be left over.
There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.
To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.
Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.
Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.
To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.
Therefore, there will be 12 slices of pizza left over.
To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.
If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.
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Find the accumulated value of an investment of $20,000 for 7 years at an interest rate of 4% if the money is a.
compounded semiannually; b. compounded quarterly; c. compounded monthly; d. compounded continuously.
Part a; compounded semiannually (n = 2); CI = $6,390.
Part b: compounded quarterly ( n = 4) ; CI = $6,425
Part c: compounded monthly (n = 12): CI = $6,450
Part d: compounded continuously; CI = $6,467.
What is known as the term compound interest?Compound interest is computed as interest on the base principal plus any interest income from prior periods. The frequency plan for compounding interest can be set to be continuous, daily, or yearly.The compound interest is calumniated by formula.
A = P(1 + r/100n)∧nt
In which,
A = amount after compounding
P = principal amount ($20,000 )
n = number of time principal amount compounded in a year.
t = total time in years (7 years)
r= rate of interest (4%)
Part a; compounded semiannually (n = 2)
A = P(1 + r/100n)∧nt
A = 20,000(1 + 4/200)∧(2x7)
A = 26390
CI = A - P
CI = 26,390 - 20,000
CI = $6,390.
Part b: compounded quarterly ( n = 4)
A = 20,000(1 + 4/400)∧(4x7)
A = 26425
CI = A - P
CI = 26,425 - 20,000
CI = $6,425
Part c: compounded monthly (n = 12)
A = 20,000(1 + 4/1200)∧(12x7)
A = 26450
CI = A - P
CI = 26,450- 20,000
CI = $6,450
Part d: compounded continuously.
P = P₀e∧rt
P = (20,000)(2.72)∧(0.04 x 7)
P = 20,000 x 1.32
P = 26,467
CI = 26,467 - 20, 000
CI = $6,467.
Thus, the for compounded continuously is $6,467.
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Please help! Solve for x. 1/4 : 100 = x : 1000 ?
Answer:
x=1/40
Step-by-step explanation:
1/4 :100= 25 so x: 1000 is just figureing out what amout 25 is of 1000
Round 51,939 to the nearest thousands
Answer:
50,000
Step-by-step explanation:
in my opinion I would think this would be the answer because you are rounding to the nearest 10,000
leah is skiing along a circular ski trail that has a radius 1.2 km long. she starts at the 3-o'clock position and travels in the ccw direction. leah stops skiing when she 1.15 km to the right and 0.343 km above the center of the ski trail.Imagine an angle with its vertex at the center of the ski trail that subtends Leah's path. a. How many radians has the angle swept out since Leah started skiing? radians Preview b. How many km has Leah skied since she started skiing? km Preview
The answer to (a) is 0.95 radians and the answer to (b) is 1.2 km.
To find the angle swept out by Leah's path, we can use the formula for the arc length of a circle:
arc length = radius * angle (in radians)
The arc length of Leah's path is 1.15 km, and the radius of the ski trail is 1.2 km, so the angle in radians is:
angle (radians) = arc length / radius = 1.15 km / 1.2 km = 0.95 radians
To find the distance Leah has skied, we can use the Pythagorean theorem:
distance = \(\sqrt{(1.15 km^2 + 0.343 km^2)} = 1.2 km\)
Thus, Leah has skied a distance of 1.2 km.
Therefore, the answer to (a) is 0.95 radians and the answer to (b) is 1.2 km.
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