Christopher Columbus landed on an island in the Bahamas, which he named San Salvador, on October 12, 1492, mistakenly believing he had reached Asia. This event is considered a pivotal moment in history, marking the beginning of European exploration and colonization of the Americas.
Explanation:Christopher Columbus, an Italian explorer sponsored by Spain, embarked on his voyage to find a direct sea route to Asia by sailing west. Contrary to his expectations, he landed in the Americas on October 12, 1492. Columbus made landfall on an island in the Bahamas, which the native Lucayans called Guanahani. He renamed it San Salvador. Following this, Columbus explored other islands in the Caribbean, including an island he named Hispaniola (present-day Dominican Republic and Haiti), still believing he had reached the East Indies.
Columbus’ mistaken belief that he had landed in Asia led to the indigenous peoples he encountered being called “Indios”, which is the origin of the term “Indian” for native peoples of the Americas. Despite his error, Columbus's voyages are considered a pivotal moment in history, marking the beginning of widespread European exploration and colonization of the Americas.
Learn more about Christopher Columbus here:https://brainly.com/question/36688873
#SPJ11
Suppose x is directly proportional to y but inversely proportional to z. If x =3 when y = 6 and z =4, then what is z when y=3?
When y = 3, the value of z is 2.
Since x is directly proportional to y and inversely proportional to z, we can write this relationship as:
[tex]x = k \frac{y}{z}[/tex]
where k is a constant of proportionality.
We are given the values x = 3, y = 6, and z = 4. Let's use these values to find k.
[tex]3 = k \frac{6}{4}[/tex]
Simplifying this, we get:
[tex]3 = k \cdot 1.5[/tex]
Solving for k:
[tex]k = \frac{3}{1.5} = 2[/tex]
Now we know the constant k. We can use it to find z when y = 3.
We know the relationship:
[tex]x = 2 \frac{y}{z}[/tex]
We need to find z when x = 3 and y = 3.
[tex]3 = 2 \frac{3}{z}[/tex]
Rearranging to solve for z:
[tex]3 = 6 \div z[/tex]
[tex]z = 2[/tex]
Here you guys go!
attached screenshot whoever is first gets brainliest!
PLEASE MARK BRAINLIEST!
Answer:
Honestly, if you think about it, the answer is right in front of you!
Step-by-step explanation:
The y- intercept is 3, and the x-intercept is 1. This means that the curve should have coordinate plots of (0,3) and (1,0).
The other information is not really needed if you know the x-and-y-intercepts!
There is only 1 curve that has the included intercepts, and that is the curve on option A)'s graph.
So your answer is option A)I hope this helps and wasn't too confusing!
- sincerelynini
Grandma's Bakery sells single-crust apple pies for $6.99 and double-crust pies for $10.99. The total number of pies sold on Friday was 331.64. How many each type were sold?
Answer: the number of single-crust cherry pies that was sold is 16
the number of double-crust apple pies that was sold is 20
Step-by-step explanation:
Let x represent the number of single-crust cherry pies that was sold.
Let y represent the number of double-crust apple pies that was sold.
The total number of pies sold on a busy Friday was 36. This means that
x + y = 36
Grandma's Bakery sells single-crust apple pie for $6.99 and double-crust cherry pie for $10.99. If the amount collected for all the pies that day was $331.64, it means that
6.99x + 10.99y = 331.64 - - - - - - - - -1
Substituting x = 36 - y into equation 1, it becomes
6.99(36 - y) + 10.99y = 331.64
251.64 - 6.99y + 10.99y = 331.64
- 6.99y + 10.99y = 331.64 - 251.64
4y = 80
y = 80/4 = 20
x = 36 - y = x = 36 - 20
x = 16
Evaluate \dfrac jk -0.2k k j −0.2kstart fraction, j, divided by, k, end fraction, minus, 0, point, 2, k when j=25j=25j, equals, 25 and k=5k=5k, equals, 5.
Answer:
After evaluating the given expression we get the value as 4.
Step-by-step explanation:
Given:
[tex]\frac{j}{k}-0.2k[/tex]
We need to evaluate the expression when j =25 and k =5
Solution:
On substituting the values of k and j in the expression we get;
[tex]\frac{25}{5}-0.2\times5[/tex]
We will use PEDMAS which means first operation performed will be division.
So we can say that;
[tex]5-0.2\times5[/tex]
Now next Operation to be performed is multiplication.
So we can say that;
[tex]5-1[/tex]
Finally we will use subtraction operation and then we will get;
[tex]4[/tex]
Hence After evaluating the given expression we get the value as 4.
The number of square units in the area of circle O is equal to 16 times the number of units in its circumference Which of the following are diameters of circles that could fit completely inside circle 0? Indicate all such diametersa) 25b) 36c) 42d) 48e) 54f) 66g) 70
Answer:
The diameters of circles that could fit completely inside circle O are 25, 36, 42, 48 and 54.
Step-by-step explanation:
The actual diameter of the circle:
[tex]\pi r^{2} = 16 x \\2\pi r = x\\\\16(2\pi r)=16x\\\\32\pi r= \pi r^{2} \\\\\frac{32\pi r}{\pi r} = \frac{\pi r^{2} \\}{\pi r} \\\\r = 32[/tex]
Since the radius is equal to 32 units, the diameter is equal to 64 units.
Therefore, the diameters of circles that could fit completely inside circle O must be smaller than or equal to 64.
Olivia is making baggies of cookies for a bake sale. She wants to put nine cookies in each bag. She made 41 oatmeal cookies and 13 chocolate chip cookies. How many baggies of cookies can Olivia make?
Answer:
6
Step-by-step explanation:
The first term is 1 in the geometric sequence 1, −3, 9, −27, . . . What is the SEVENTH term of the geometric sequence? Select your answer.
A. −243
B. −30
C. 81
D. 189
E. 729
Answer:
729
Step-by-step explanation:
The first term is 1 in the geometric sequence 1, −3, 9, −27, . .
First find out the nth term formula for the geometric sequence
[tex]a_n=a_1(r)^{n-1}[/tex]
where a_1 is the first term =1
r is the common ratio,
[tex]\frac{-3}{1}=-3[/tex]
[tex]\frac{9}{-3}=-3[/tex]
[tex]\frac{-27}{9}=-3[/tex]
r=-3, a_1=1
[tex]a_n=a_1(r)^{n-1}[/tex]
[tex]a_n=1(-3)^{n-1}[/tex]
Now find out the seventh term, n=7
[tex]a_7=1(-3)^{7-1}=729[/tex]
To find the seventh term of the geometric sequence 1, −3, 9, −27, ..., we calculate the common ratio and use it in the formula for the n-th term. The common ratio is −3 and the seventh term turns out to be 729. So the correct option is E.
Explanation:Calculating the SEVENTH Term of a Geometric Sequence
The given geometric sequence is 1, −3, 9, −27, ... and we are asked to find the seventh term. In a geometric sequence, each term after the first is found by multiplying the previous term by a constant called the common ratio (r). To find the common ratio, we can divide the second term by the first term, or the third term by the second term, and so on.
Common ratio (r) calculation:
Divide the second term (−3) by the first term (1), which gives us r = −3.
To find the seventh term, we use the formula for the n-th term of a geometric sequence, which is:
a_n = a_1 × r^(n-1), where a_n is the n-th term, a_1 is the first term, and n is the term number.
Seventh term calculation:
a_7 = 1 × (−3)^(7-1) = 1 × (−3)^6. Since −3 to an even power is positive, the answer is 1 × 3^6 = 729.
Therefore, the seventh term of the geometric sequence is 729.
Consider the function f(x) = -2x + 5 what is f(5)
Answer:
[tex]\displaystyle -5 = f(5)[/tex]
Step-by-step explanation:
[tex]\displaystyle -2[5] + 5 = -10 + 5 = -5[/tex]
I am joyous to assist you anytime.
Answer: -5
Explanation: In this problem, we're given the function f(x) = -2x + 5 and we are asked to find f(5).
To find f(5) or the value of the function when x = 5, we simply substitute 5 in for x in our function.
So we have f(x) = -2(5) + 5 or -10 + 5 which equals -5.
So f(5) or the value of the function when x = 5 is -5.
Company A charges $70.50 and 18 cents per mile. Company B charges $30.50 and 11 cents per mile. How much more does company A charge for x miles than company B?
Answer:
Step-by-step explanation:
Let x represent the number of miles with either company A or company B.
Company A charges $70.50 and 18 cents per mile. Converting 18 cents to dollars, it becomes
18/100 = $0.18
Total cost of x miles with company A would be
0.18x + 70.50
Company B charges $30.50 and 11 cents per mile. Converting 11 cents to dollars, it becomes
11/100 = $0.11
Total cost of x miles with company B would be
0.11x + 30.50
For the amount that company A charges more than company B, it becomes
0.18x + 70.50 - 0.11x + 30.50
0.18x - 0.11x + 70.5 - 30.5
0.07x + 40
Company A charges 0.07x + 40 more than company B
The population of a small town is modeled by an exponential function of the form p t( ) = abt , where t represents the number of years since 2010. The population of the town was recorded as 425 in 2010 and 612 in 2012. Based on the data for the years 2010 and 2012, what is the value of b in the model?
To find the value of b in the exponential function, we can use the given data points for the years 2010 and 2012. By substituting the values into the equations, we can solve for b.
Explanation:To find the value of b in the exponential function, we can use the given data points for the years 2010 and 2012. Let's start by setting up two equations:
p(0) = ab0 = a = 425
p(2) = ab2 = 612
From the first equation, we know that a = 425. Substituting this value into the second equation:
425b2 = 612
Divide both sides of the equation by 425:
b2 = 612/425
Take the square root of both sides:
b = √(612/425)
Simplifying the expression gives us the value of b.
Learn more about Exponential Growth here:https://brainly.com/question/12490064
#SPJ12
Let × represent th he number of television show episodes that are taped in a season. Write an expression for the number of episodes taped in 4 seasons.
Answer:
y=4x
Step-by-step explanation:
Given : x represent the number of television show episodes that are taped in each seasons
To Find : write an expression for the number of episodes taped in 4 seasons
Solution:
Let number of episodes taped in 4 seasons be y
Number of the episodes taped in 1 season = x
So, number of episodes taped in 4 seasons :
y= 4x
Hence the required expression for the numder of episodes taped in 4 seasons :y= 4x
What is the solution? Round your answer to the nearest tenth
Help please step by step if so ?
Answer:
9.6.
Step-by-step explanation:
Because DE || AC:
x/12 = 8/10
10x = 96
x = 9.6.
A system of linear equations with fewer equations than unknowns is sometimes called an underdetermined system. Can such a system have a unique solution? Explain.
Answer:
So such system with fewer equations than unknowns can never have a unique solution.
Step-by-step explanation:
Linear equations are equations which contain variable with degree 1.
The variables can be 1 or 2 or any other number
say there are n varaibles
Then to solve this we must have n independent equations.
If number of equations are less than number of variables we can have parametric solutions only with infinite points lying on it.
There is no chance for this to have a unique solution.
For unique solutions, there must be equal number of equations with the variables and the determinant formed by the coefficients should not be 0.
So such system with fewer equations than unknowns can never have a unique solution.
2/xy^2 Give the equivalent numerator if the denominator is x³y².
x²y
2x²
2x³y²
Need this Asap, the fastest correct answer will be marked Brainliest.
Answer:
2x^2.
Step-by-step explanation:
2x^2 / x^3y^2
= 2/xy^2
Answer:
I'm pretty sure if there's two answers you can mark them brainliest.
Step-by-step explanation:
The slope of the line below is -
Write the point-slope equation for the
line using the coordinates of the
labeled point.
Answer:the point slope form is
y + 1 = - 1/2(x - 6)
Step-by-step explanation:
The point slope form of a line is expressed as
y - y1 = m(x - x1)
Where
m represents the slope of the line.
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
From the information given,
slope, m = - 1/2
y1 = - 1
x1 = 6
Therefore, the point slope eqy would be
y - - 1 = - 1/2(x - 6)
y + 1 = - 1/2(x - 6)
Answer:
y - - 1 = - 1/2(x - 6)
y + 1 = - 1/2(x - 6)
Step-by-step explanation:
Determine whether the value given below is from a discrete or continuous data set.
In an election poll comma Derek received 17 comma 551 comma 093 votes.In an election poll, Derek received 17,551,093 votes.
A. A continuouscontinuous data set because there are infinitely many possible values and thosethere are infinitely many possible values and those values can be counted.values can be counted.
B. A discretediscrete data set because there are a finite number of possible values.there are a finite number of possible values. nothing
C. A continuouscontinuous data set because there are infinitely many possible values and those values cannot be counted.values cannot be counted.
D. The data set is neither continuous nor discrete.
Answer:
B
Step-by-step explanation:
The discrete type of data contains observations that can be counted and consists of finite set of data. In the given problem the votes received by Derek consists of finite set of value and votes received by Derek are countable.
Hence the votes received by Derek is discrete data set because there is finite number of values.
A lone distance call costs 40 cents for the first three minutes and 10 cents for each additional minute. At most how many minutes can a person talk and not exceed $2?
Final answer:
A person can talk for at most 19 minutes on a long-distance call without exceeding a $2 limit, accounting for the initial charge and the cost of additional minutes.
Explanation:
To find out at most how many minutes a person can talk on a phone without exceeding $2, considering the initial charge is 40 cents for the first three minutes, and 10 cents for each additional minute, we need to calculate the total cost based on the number of minutes.
The problem can be broken down as follows:
The cost for the first 3 minutes is 40 cents.
After the initial 3 minutes, each additional minute costs 10 cents.
We have a budget of $2 (or 200 cents) to not exceed.
First, subtract the initial 40 cents from the total budget:
200 cents - 40 cents = 160 cents
With 160 cents left and each additional minute costing 10 cents:
160 cents[tex]\(\div\)[/tex] 10 cents = 16 additional minutes
Therefore, adding the initial 3 minutes:
3 + 16 = 19 minutes
A person can talk for at most 19 minutes without exceeding a $2 limit.
2560 divided by 50 Thank you I gotta be an extra for me to get this stuff out to the shop I have so little money was my first place I gotta I love I'm glad I had my hair cut ♂️ this is my life so I'm happy I am a new day in a dream that you are truly amazing I wanna I loved you all my love I've got a good night
Answer:
51.2
Step-by-step explanation:
To divide 2560 by 50, you can use long division. The answer is 51.
Explanation:To divide 2560 by 50, you can use long division. Here's how:
Start by dividing 25 into 256. The quotient is 10.Multiply 10 by 50, which equals 500.Subtract 500 from 2560 to get 2060.Bring down the next digit, which is 0.Divide 25 into 206, which gives you a quotient of 8.Multiply 8 by 50, which equals 400.Subtract 400 from 206 to get 60.Bring down the next digit, which is 0.Divide 25 into 600 to get a quotient of 24.Multiply 24 by 50, which equals 1200.Subtract 1200 from 600 to get 0.Therefore, 2560 divided by 50 equals 51.
Learn more about Long division here:https://brainly.com/question/28824872
#SPJ12
Claire is cyclingcling at a speed of 12 miles per hour. If she starts at a position chosen zero point what will her positon be after 45 minutes. 7th grade math
plz, help ASAP!!!!!!
Answer:
The answer is C
Step-by-step explanation:
The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same. Example, when point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P', the coordinates of P' are (5,-4)
Kristin spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. She bought seven total shirts. How many fancy and plain shirts did Kristin buy? Write two equations.
Answer:
2 fancy shirts and 5 plain shirts
Step-by-step explanation:
28x + 15x = 131
28(2) + 15(5) = 131
56 + 72 = 131
(there are no other equation i could find)
Rich’s weekly salary is based on the number of pairs of shoes he sells. He is paid a base salary of $25, plus $5 for every pair of shoes he sells. The relationship between his pay (p) and pairs of shoes (s) sold can be represented by the linear equation p = 25 +5s. Determine Rich’s pay for a week in which he sold 7 pairs of shoes.
a.
$60
b.
$35
c.
$55
d.
$210
Answer:
A
Step-by-step explanation:
p = 25 + 5s
s = amount of shoes sold
Rich sold 7 shoes. Plug in 7 for s
p = 25 + 5(7)
p = 25 + 35
p = 60
Answer: the correct answer is a. $60
Step-by-step explanation:
Using the formula that states Rich's weekly salary
P= 25 + 5s , where p is the salary and s the number of pairs sold, then
P= $25 + $5*7
P=$25 + $ 35
P= $ 60
If the graphs of two linear functions are perpendicular, describe the relationship between the slopes and the y-intercepts.
slopes:
a.The slopes are equal.
b. The slopes are negative reciprocals of one another.
c.The slopes are reciprocals of one another.
d.The slopes are inverses of one another.
e.There is no relationship.
y-intercepts:
a.The y-intercepts are equal.
b.The y-intercepts are not equal.
c.There is no relationship.
Answer:
Part 1) The slopes are negative reciprocals of one another.
Part 2) There is no relationship.
Step-by-step explanation:
Part 1)
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
[tex]m_1*m_2=-1[/tex]
Part 2)
The y-intercept is the value of y when the value of x is equal to zero
Two linear functions that are perpendicular, could have the same y-intercept (the y-intercept would be the point of intersection between both lines)
so
There is no relationship
The perimeter of a rectangle is 48 in the length of 6 in greater than the width Define a variable and write an equation to represent the situation solve the system by using substitution
Answer:
Step-by-step explanation:
Let L represent the length of the rectangle.
Let W represent the width of the rectangle.
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The perimeter of a rectangle is 48 in. It means that
48 = 2(L + W)
L + W = 48/2
L + W = 24 - - - - - - - - - 1
the length of the rectangle is 6 in greater than the width. It means that
L = W + 6
Substituting L = W + 6 into equation 1, it becomes
W + 6 + W = 24
2W + 6 = 24
2W = 24 - 6 = 18
W = 18/2 = 9
L = W + 6 = 9 + 6 = 15
Final answer:
The student's problem involves finding the length and width of a rectangle given its perimeter and the fact that the length is 6 inches greater than the width. To solve it, we defined the width as a variable, set up an equation based on the perimeter, and used substitution to find that the width is 9 inches and the length is 15 inches.
Explanation:
The perimeter of a rectangle is given by the formula 2(length + width). In the stated problem, we are given the total perimeter (48 inches) and told that the length is 6 inches greater than the width. We can define the width as w and the length as w + 6. So, the perimeter equation is:
2(w + (w + 6)) = 48
Simplify the equation: 2(2w + 6) = 48.Distribute the 2: 4w + 12 = 48.Subtract 12 from both sides: 4w = 36.Divide by 4 to find w: w = 9.Now that we have the width, we can find the length using substitution:
w + 6 = 9 + 6 = 15
Therefore, the width is 9 inches and the length is 15 inches.
A community college student interviews everyone in his own statistics class to determine who owns a car. Identify which sampling technique is used.
The student uses Census sampling, a technique where every individual in a chosen population is surveyed. This method is reasonable for small populations, but can be impractical for larger groups.
Explanation:The sampling technique used by the community college student in his statistics class is called Census sampling. This is because the student is collecting data from every individual in the total population of his statistics class. In other words, the student is not selecting a random or specific subset of the class; he is including everyone in his study. This can be useful for small populations, like a single class, as it provides data from all members, but it can be time-consuming and impractical for larger groups or populations.
Learn more about Census Sampling here:https://brainly.com/question/31291195
#SPJ3
A motorboat left a harbor and traveled to an island at an average rate of 10 knots. The average speed on the return trip was 10 knots. If the total trip took 4.0 hours, how far is the harbor from the island?
The distance between the harbor and the island is 20 nautical miles.
Explanation:To find the distance between the harbor and the island, we need to calculate the average speed of the motorboat for the entire trip. Since the average speed on the outbound trip was 10 knots and the average speed on the return trip was also 10 knots, we can conclude that the boat traveled at a constant speed throughout the trip. Let's assume the distance between the harbor and the island is 'd'.
Since speed = distance / time, we can calculate the time taken for each leg of the trip using the average speeds and the total time of 4.0 hours:
Time taken for the outbound trip = d / 10 knots
Time taken for the return trip = d / 10 knots
Since the total time is 4.0 hours, we can write the equation: d / 10 + d / 10 = 4.0
Simplifying the equation, we get: 2d / 10 = 4.0
Multiplying both sides by 10, we get: 2d = 40
Dividing both sides by 2, we get: d = 20
Therefore, the distance between the harbor and the island is 20 nautical miles.
Learn more about Calculating distance and speed here:
https://brainly.com/question/31756299
#SPJ11
In January 2011 the rate of a VAT increased from 17.5% to 20% Work out the difference in price of a car worth £15000 + VAT due to the increase of VAT
Answer:
£375
Step-by-step explanation:
The tax changed from 17.5% of the car's price to 20% of the car's price, an increase of 2.5% of the car's price.
The increased tax amount is ...
0.025 × £15000 = £375
The price of the car went up by £375 due to the increase in VAT.
Thomas had 12 juice boxes he gave some to his sisters he now has more rhan 5 left.Which inequality can be used to find j the number of juice boxes thomas gave to his sisters?
Answer:
J < T - 5
Step-by-step explanation:
T = The number of juice boxes Thomas had
J = The number of juice boxes Thomas gave to his sisters
Thomas had 12 juice boxes
T = 12
He gave some to his sisters he now has more than 5 left.
T - J > 5
-J > 5 - T
J < -5 + T
J < T - 5
To determine the number of juice boxes Thomas gave to his sisters, the inequality 12 - j > 5 is used, which simplifies to j < 7, indicating that he gave away fewer than 7 juice boxes.
To find j, the number of juice boxes Thomas gave to his sisters, we start with the total number he had initially, which is 12. We know that he gave away some juice boxes and still has more than 5 left. If we let j represent the number of juice boxes given to his sisters, then 12 - j > 5 would be the inequality that can be used to determine j.
Since Thomas has more than 5 left, but we don't know the exact number, we use the inequality to represent the situation. Therefore, if we solve the inequality, subtracting 5 from both sides, we get j < 7. This means that Thomas gave away fewer than 7 juice boxes to his sisters because he had more than 5 remaining.
PLZ HELP, GIVING BRAINLIEST!!
If the endpoints of the diameter of a circle are (3, 10) and (-1, 6), what are the coordinates of its center?
A. (-2,-2)
B. (2, 2)
C. (1, 8)
D. (2, 16)
A baseball player got 52 hits one season. He got h of the hits in one game. What expression represents the number of hits he got in the rest of the games?
Answer:
The expression that represents the number of hits he got in the rest of the games is [tex]t=52-h[/tex].
Step-by-step explanation:
Given:
Number of hits in one season = 52 hits
Number of hits in one game = 'h'
We need to write expression that represents the number of hits he got in the rest of the games.
Solution:
Let the number of hits he got in the rest of the games be 't'.
Now we can say that;
The number of hits he got in the rest of the games is equal to Number of hits in one season minus Number of hits in one game.
framing in equation form we get;
[tex]t=52-h[/tex]
Hence expression that represents the number of hits he got in the rest of the games is [tex]t=52-h[/tex].
Answer:
52 - h
Step-by-step explanation:
Simplify: 52 - h