They joined together to resist the attempts of Europeans to change them.
What was the Age of Exploration What major changes did it cause in the world?People have been captivated by global exploration and learning about new locations and civilizations for thousands of years. Traveling by sea was historically one of the most effective methods of globetrotting. Greeks in antiquity to medieval SpanishKings, because it provided the possibility of new business ventures and trade routes, exploration was a top priority for governments. Spanish ships, for instance, could travel to China and return with Chinese spices and silks (which were not accessible in continental Europe) to sell in Spanish marketplaces.In order to avoid deviating from their intended course, early explorers used a navigational system known as "dead reckoning," which involves calculating their position based on previous positions (such as landmasses). However, this technique may not be an exact science. Exploration became increasingly crucial as far as Europe's economic interests were concerned.Innovative tools that made exploration simpler and more accurate were created.Learn more about Age of Exploration refer to :
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Write and solve a system of equations that represents the scenario below. Be sure to define your variables, and
answer the question.
Ricky Bobby and Betty Sue are super hungry after doing all of these problems, so they ask their uncle Billy Joe Bob to
take them to "Burgers and Dogs" for some tasty mini burgers and mini hot dogs. Ricky Bobby orders 3 mini burgers
and 2 mini dogs for $8. Betty Sue orders 2 mini dogs and 1 mini burger for $6. How much would Uncle Billy Joe Bob spend if he ordered 3 mini dogs and 4 mini burgers?
Can someone help me!
Answer: $11.50
==================================================
Explanation:
x = cost of one burger
y = cost of one hot dog
3 burgers = 3x dollars
2 hot dogs = 2y dollars
3 burgers + 2 hot dogs = 3x+2y = 8 dollars
The first equation to set up is 3x+2y = 8 which is based on the info of what Ricky purchased.
Through similar logic, the other equation is x+2y = 6 based on what Betty ordered.
This is the system of equations
[tex]\begin{cases}3x+2y = 8\\x+2y = 6\end{cases}[/tex]
There are a few approaches we could take. I'll use substitution.
Let's isolate x in the 2nd equation.
x+2y = 6
x = -2y+6
Then plug this into the 1st equation. Solve for x.
3x + 2y = 8
3(-2y+6) + 2y = 8
-6y+18+2y = 8
-4y+18 = 8
-4y = 8-18
-4y = -10
y = -10/(-4)
y = 2.50 dollars is the cost of one hot dog
Then,
x = -2y+6
x = -2*2.50+6
x = -5+6
x = 1 dollar is the cost of one burger
-----------------------
Check:
Ricky: 3x+2y = 3*1+2*2.50 = 3 + 5 = 8 dollars spentBetty: x+2y = 1+2*2.50 = 1+5 = 6 dollars spentThe x and y values are confirmed correct.
------------------------
The last thing to find out is how much is spent if Billy bought 4 burgers and 3 hot dogs
4x+3y = 4*1 + 3*2.50 = 4 + 7.50 = 11.50 dollars is the final answer
This assumes that Billy is paying for himself and the other people pay for themselves as well. If Billy is paying for everyone, then the total comes to 11.50+8+6 = 25.50 dollars.
1) If A = {piano, guitar, violin) and B = (guitar, piano, violin) then B_______A
For the given two sets A and B, the set B is equal to A.
Set:
A set is the collection of well-defined objects or elements. It is represented by a capital letter symbol and the number of elements in the finite set is represented as the cardinal number of a set in a curly bracket {…}.
Given.
Here we have the two sets
A = {piano, guitar, violin) and
B = (guitar, piano, violin)
Now, we need to find the relation between B and A.
While we looking into the given sets,
Set A has 3 elements in it and
Set B has 3 elements in it.
So, the size of both sets are equal.
And now we have to looking at the elements in it.
While we checking the elements, instead of the order both have the same elements.
Therefore, the set B is equal to set A.
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A tennis ball has a volume of approximately
10.31 in ³
What is the radius of the tennis ball? Use 3.14 to
approximate 7.
By using the concept of volume of a sphere, the result obtained is
Radius of the tennis ball = 1.35 inch
What is Volume of a sphere?
Volume of the sphere is the total space taken by the sphere.
If r is the radius of the sphere, then the volume of the sphere is given by the formula
V = [tex]\frac{4}{3}\pi r^3[/tex]
Let the radius of the ball be r inch
Volume of the ball = [tex]\frac{4}{3}\pi r^3[/tex]
= [tex]\frac{4}{3} \times 3.14 \times r^3[/tex]
By the problem,
[tex]\frac{4}{3} \times 3.14 \times r^3 = 10.31\\r^3 = \frac{10.31 \times 3}{4 \times 3.14}\\r^3 = 2.46\\r = \sqrt[3]{2.46}\\ r = 1.35\ in[/tex]
Radius of the tennis ball = 1.35 inch
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find the x-intercept of the line y=5/12x+1/6
Answer:
(-2/5,0)
Step-by-step explanation:
if y=0,
5/12 x + 1/6 = 0
5x + 2 = 0
x = -2/5
or, multiply by 6 to get the intercept form:
6y = 5/2 x + 1
-5/2 x + 6y = 1
x/(-2/5) + y/(1/6) = 1
Can someone please help me thank you
Answer:
9. 4/5
10. 3/4
11. 1/4
12. 1/8
13. 1/11
14. 1/9
15. 9/10
16. 1/10
Step-by-step explanation:
ur welcome
Did you use Priya's rate (0.4 cups of oats per cup of water) or Han's rate (2.5 cups of water per cup of oats) to help you answer each of the previous two questions? Why?
Answer:
Yes
Step-by-step explanation:
It depends on the questions before hand but this seems to answer the previous two questions.
Write an expression that is equivalent to 3(7+ x).
3(7+ x)= ? + ?x
Answer:
21 + 3x
Step-by-step explanation:
Its simple really. Just expanding the brackets by bringing the 3 inside the bracket :
3 × 7 = 21
3 × x = 3x
So our answer will 21 + 3x
Hope this helped and have a good day
PLEASE HELP! select all true statement on the graph
In the given graph the correct statements are:
q ⊥ n
m ║ n
p ⊥ m
What are parallel lines and perpendicular lines ?Parallel lines are two straight lines that never intersect and are located in the same plane. They are equidistant lines that are always at the same distance from one another. Parallel lines are denoted by the apostrophe ||. AB || CD, for instance, denotes that line AB and line CD are parallel. Perpendicular lines, on the other hand, are when two lines cross at an angle of 90 degrees. The symbol stands for perpendicular lines. Line PQ is perpendicular to line RS, for instance, if PQ RS. Examine the following illustration and the characteristics of parallel and perpendicular lines to recognize and distinguish between them.
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1. Write and solve an equation for the following statement: Eight less than one-third of a number,
Answer: (1/3)x - 8
Step-by-step explanation:
one - third means 1/3
one - third of a number means (1/3)x
( x being the number )
Eight less means -8
Eight less than 1/3 of an number is (1/3)x - 8
there are 4 consecutive even integers that sum to 276
The required consecutive even integers are 66, 68, 70, and 72.
We have four integers. The integers are consecutive, that means the integers are one after the other. The integers are even, which means they are all divisible by two. The sum of these four even integers is 276.
Let the first even integer be represented by the variable "n". The next three consecutive integers are (n + 2), (n + 4), and (n + 6). Let the sum be denoted by "S".
S = n + (n + 2) + (n + 4) + (n + 6)
276 = 4n + 12
4n = 264
n = 66
Hence, the required integers are 66, 68, 70, and 72.
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Erik has 2 bags of bird seed. One bag has
10 pounds of seed, and the other bag has
8 pounds of seed. He fills
7 bird feeders
with 2 pounds each. Write and solve
an
equation to find how many
pounds of bird
seed are left.
Answer:
(10 + 8) - (7 * 2) = x, 4 pounds of birdseed left
Step-by-step explanation:
For the first part of our equation, we will find the total amount of pounds of seeds among the bags (addition).
For the next part, we will find out how much of the bird seed is used (subtraction).
Then, it will equal whatever is left.
(10 + 8) - (7 * 2) = x, x = pounds of bird seed left
Now, we will solve.
(10 + 8) - (7 * 2) = x
(18) - (14) = x
x = 4 pounds of birdseed left
21 washing machines in a laundromat, and 4 broken down. what is the ratio of the broken to all washing machines?
Answer: 17:4
Step-by-step explanation:
21 washing machines
4 broken
21 - 4 = 17
17:4
A person needs to borrow $10,000 for 240 days. A lender offers a 9% simple discount note/loan. Determine the amount of interest for the loan and the proceeds of the discounted note. Label each. (Use 365 days)
The simple interest on a $10000 loan offered at a rate of 9% over 240 days is $10591.78
Simple InterestSimple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
The formula is given as
S.I = p(1 + rt)
S.I = simple interestp = principalr = ratet = timeSubstituting the values into the equation,
S.I = 10000(1 + 0.09 * 240)
S.I = 10591.78
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Question 9 of 10
Solve (x-3)² = 5.
A. x=-3+√√5
B. x=3+√5
C. x = 8 and x = -2
OD. x=5± √√3
Answer:
B (x = 3 + √5)
Explanation:
x² + 9 = 5
Take square root of both sides
x + 3 = ± √5
Add 3 to both sides
x = 3 + √5 or x = 3 - √5
How many numbers are there from 10 to 99 in which the difference between the largest digit and the smallest digit equals 4?
For example 15 and 51, where 5 – 1 = 4.
There are 9 numbers from 10 to 99 in which the difference between the largest digit and the smallest digit equals 4
How to determine the count of the numbers?The difference can be represented as
Largest - Smallest = 4
Also, we have two instances to be
15 and 51
And the range is given as
Range = 10 to 99
In a range of 10, there is only one number whose difference between the digits is 4
There are 9 ranges of 10 from 10 to 99
So, the count of the range is
Count = 9 range * one number
Rewrite as
Count = 9 * 1
Evaluate
Count = 9
Hence, there are 9 of such numbers from 10 to 99
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assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypothesis?
The null and alternative hypothesis regarding the test on whether the mean error is of zero is given by the following option:
D. H0: μ = 0 minutes, H1: μ ≠ 0 minutes.
How to identify the null and the alternative hypothesis in this test?The first step in identifying the hypothesis is to identify the claim tested, given as follows:
The mean prediction error is equals to zero.
At the null hypothesis, it is tested if there is not enough evidence to go against the claim, hence we suppose that the mean is of zero minutes, as follows:
H0: μ = 0 minutes.
At the alternative hypothesis, it is tested if there is enough evidence to reject the null hypothesis, that is, if there is enough evidence to conclude that the mean prediction error is different of zero minutes, hence it is given as follows:
H1: μ ≠ 0 minutes.
Thus option D gives the correct null and alternative hypothesis in the context of this problem.
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Pls help i need the answer!:(
Answer:
12*(1/4+1/3)(1/4+1/3)+2/3= 12*(1/16+1/12+1/12+1/9)+2/3=12*(9/144+12/144+12/144+16/144)+2/3= 12*(49/144)+2/3=12*49/144+2/3= 49/12+2/3=49/12+8/12=57/12= 4*9/12=4* 3/4
Step-by-step explanation:
please help me with these it is due tomm.
Answer:
1.) 10: 1, 2, 5, 10.
15: 1, 3, 5, 15,
Answer would be 5.
2.) 18: 1, 2, 3, 6, 9, 18
21: 1, 3, 7, 21
Answer would be 3.
3.) 12: 1, 2, 3, 4, 6, 12.
24: 1, 2, 3, 4, 6, 8, 12, 24.
Answer would be 12.
4.) 8: 1, 2, 4, 8.
20: 1, 2, 4, 5, 10, 20.
Answer would be 4.
5.) 14: 1, 2, 7, 14.
28: 1, 2, 4, 7, 14, 28.
Answer would be 14.
Step-by-step explanation:
Using the listing method, you would first list the common factors of each number, to which that number could be multiplied by. Then, you would search for the greatest common factor.
A 150-pound person uses 5.6 calories per minute when walking at a speed of 4 mph. How long must a person walk at:
this speed to use at least 220 calories?
A person must walk for at least
(Round up to the nearest minute.)
minutes in order to use at least 220 calories.
The person must walk 2.61 miles to use 220 calories with speed of 4mph.
What is speed?
The pace at which an object's position changes in any direction is known as its speed. The distance traveled relative to the time it took to travel that distance is how fast something is moving. Due to its lack of magnitude and only having a direction, speed is a scalar quantity.
Here, At 4 mph 5.6 calories are used in = 1 minute
So, at 4 mph, 220 calories are used in,
=> 220/5.6
=> 39.28 minutes
Hence, a person must walk for 39.28 minutes to burn 220 calories.
To find the distance a person should walk, when the speed is 4 miles per hour.
In 60 minutes a person is walking = 4 miles
So, in 39.28 minutes a person will walk = 4/60*39.28
= 2.61 miles
Therefore The person must walk 2.61 miles to use atleast 220 calories.
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Solve for x.
Please !!!
Step-by-step explanation:
6x-4+60=14x-8
6x+56=14x-8
8x=64
x=8
If you cut a sheet of paper in half, stack one piece on top of the other, cut those in half, stack all the pieces together, repeating this process 20 times, how high will the stack of paper be?
Answer:
65c
Step-by-step explanation:
For this discussion post do the following:
Write two expressions with positive and negative numbers to be evaluated with a given variable value.
Evaluate one of them correctly and in the other one make an error. For both, clearly explain the steps you used.
Do not tell which problem has the error as your classmates will be determining that later.
The two expressions to be evaluated are
y = 2x - 5y = 4x - 3How to evaluate the expressionsThe problem asks for two expressions with positive and negative numbers
the positive numbers in the expressions are 2x and 4x
the negative numbers in the expressions are -5 and -3
At x = 5.
evaluating the first expression gives
y = 2x - 5
y = 2 * 5 - 5
y = 10 - 5
y = 5
evaluating the second expression gives
y = 4x - 3
y = 4 * 5 - 3
y = 4 * 2
y = 8
One of the expressions evaluated has error and on is error free
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1. Draw a picture, write and solve an equation to find Mary's weight, w, when she was 10 years old.
The Weight of Mary is 80. Students who are having trouble solving a problem can use the "draw a picture" method to create a visual representation of the issue.
"Draw a picture" method ?Students who are having trouble solving a problem can use the "draw a picture" method to create a visual representation of the issue.
the justifications.
Inquiry 1.
Formula: w = 10 8 pound
Answer: x = 80 lb
Inquiry 2:
Formula: d = 108 lb - 8 pound
d = 72 lb
Explanation:
First of all
When Mary was born, she weighed 8 pounds.
Statement 2: Mary weight 10 times as much when she was 10 years old.
w = 10 8 pounds, or 80 pounds.
Description of the illustration:
She was born weighing 8 pounds, which is represented by each cell. The 10 cells indicate that the number 8 lbs. has been repeated 10 times.
Next, the sum of the multiplication is shortened:
8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 = 10 × 8 = 80.
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In order for a gear to work in a piece of machinery, the radius of the gear, r, must be greater than 4 cm, but not exceed 4.1 cm. Which compound inequality represents the situation?
r > 4 and r ≤ 4.1
r > 4 or r ≤ 4.1
r < 4 and r ≥ 4.1
r < 4 or r ≥ 4.1
Answer:cap
Step-by-step explanation:C A P
Solve. 4x+2=(1/8)x-2
_______
Five students were looking at a large poster of the periodic table. They noticed the elements were arranged in rows and columns. They also noticed the elements were nged in order from 1-118. They had different ideas about the arrangement of the elements on the periodic table. This is what they said:
Damon: I think the elements are arranged by increasing mass.
Flo: I think the elements are arranged according to their properties.
Sienna: I think the elements are arranged by when they were discovered.
Kyle: I think the elements are arranged according to how common they are.
Glenda: I don't agree with any of you. I think there must be a different reason for the arrangement.
WHO DO YOU AGREE WITH?
The person that I agree with is Glenda I don't agree with any of you. I think there must be a different reason for the arrangement.
What is a periodic table?The periodic table, commonly known as the periodic table of (chemical) elements, is a table that displays the chemical elements in a tabular format.
The chemical elements are ordered from left to right and top to bottom by increasing atomic number, or the number of protons in an atom's nucleus, which generally corresponds to increasing atomic mass.
The elements in the periodic table are organized into rows, called periods, in ascending atomic number order. Vertical columns, referred to as groups, in which the elements have similar qualities.
I agree with Glenda because they're arranged in atomic number.
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A quarterback threw a football from a height of 6 feet with an initial velocity of 20 feet per second. The height, h, of the ball at time t seconds can be represented by
the equation h (t)=-16t² + 20t+6.
True or False?
The ball was in the air for 1.5 seconds before hitting the ground.
The ball was in the air for 1.5 seconds. The answer is true.
What is a quadratic equation?The equation of the form ax² + bx +c is known as a quadratic equation.
The given equation is h(t) = -16t² + 20t + 6.
To find the time for which the ball was in the air, substitute h(t) =0.
0 = -16t² + 20t + 6
Use the quadratic formula to solve the equation:
[tex]t= \frac{- 20 \pm\sqrt{20^2 - 4(-16)(6)}}{2(-16)}\\t=\frac{- 20 \pm\sqrt{400+384}}{-32}\\t=\frac{- 20 \pm\sqrt{400+384}}{-32}\\t=\frac{- 20 \pm\sqrt{784}}{-32}\\\\t= \frac{- 20 \pm28}{-32}[/tex]
t = (-20 + 28)/(-32) or t = (-20-28)/(-32)
t = -0.25 or t = 1.5
Since time cannot be negative, discard the negative value.
Hence, the ball was in the air for 1.5 seconds. The answer is true.
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This season, the probability that the Yankees will win a game is 0.45 and the probability that the Yankees will score 5 or more runs in a game is 0.6. The probability that the Yankees win and score 5 or more runs is 0.34. What is the probability that the Yankees will win when they score fewer than 5 runs? Round your answer to the nearest thousandth.
The probability that the Yankees will win when they score fewer than 5 runs is; 0.567
How to solve conditional probability?We are given;
Event A which is when Yankees win has a probability of; P(A) = -.45
Thus, Event that the Yankees don't win which is when they lose is;
P(A') = 1 - 0.45 = 0.55
Event B which is the event that the Yankees score 5 or more runs has a probability of; P(B) = 0.6
Event that the Yankees score 4 or less run is given by the probability;
P(B') = 1 - 0.6 = 0.4
The probability that the Yankees win and score 5 or more runs is;
P(A' ∩ B') = 0.34
Thus, the probability that the Yankees will win when they score fewer than 5 runs wanted is given by the chain rule in conditional probability of the formula;
P(A' | B') = P(A' ∩ B')/P(B') = 0.34/0.6
P(A' | B') = 0.567
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A metal strip is being installed around a rectangular workbench that is 11 feet long and 4 feet wide. If the stripping costs
$5 per foot, find the total cost of the stripping.
total cost =$?
Step-by-step explanation:
that is the same as calculating the perimeter of the rectangle (the way 1 time around the rectangle).
the perimeter of a rectangle is
2×length + 2×width
in our case that is
2×11 + 2×4 = 22 + 8 = 30 ft
the stripping costs $5 per foot, and we have 30 ft.
so, the total costs are
5 × 30 = $150
what’s the x intercept of a table with 22,27,32
The x-intercept of the table of values is 12 or (12, 0).
How to Find the X-Intercept of a Table?To find the x-intercept of a table that represents a linear relationship between x and y, first write the equation that models the table.
To write the equation, first find the slope (m) using two pairs of values, say, (22, 36) and (27, 54)
Slope (m) = (54 - 36)/(27 - 22)
Slope (m) = 18/5
Write the equation that represents the table of values by substituting (a, b) = (22, 36) and m = 18/5 into y - b = m(x - a):
y - 36 = 18/5(x - 22)
To find the x-intercept, substitute y = 0 into the equation, y - 36 = 18/5(x - 22) to find the value of x:
0 - 36 = 18/5(x - 22)
-36 = 18/5(x - 22)
5(-36) = 18(x - 22)
-180 = 18(x - 22)
-180/18 = x - 22
-10 = x - 22
-10 + 22 = x
12 = x
x = 12
The x-intercept is 12 or (12, 0).
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