When writing an informative essay about an event in history, you should:
Pick an engaging topic with several sources of information. Clearly state your thesis in your introduction. Use every paragraph to expand on a separate point. Avoid using long sentences. Reference sources accurately. How can you write an informative essay on historical events?To avoid finding it difficult to find information on your topics, pick a topic that has been well researched and has several sources of information on it. European history is well researched.
In the introduction, talk about why you think this topic is significant and include a thesis statement that would be the main logic you are producing details about.
Then divide this thesis into several points and talk about each point in a different paragraph. Use sentences that are not too long so that people don't lose interest.
Use primary and secondary information sources but make sure you reference these sources in the required format.
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y varies directly with x. If y = -4 when x = -1, what is the constant of variation?
the constant variation, K= 4
Step-by-step explanation:
i have replace the constant variation by the letter K
First step is to write down the information
y directly proprotional to x
So, y= Kx
Replace the value given for x and y to find k
y= -4 and x = -1
Kx= y
K( -1) = -4
K = -4 ÷ -1
K= 4
Further answer
if you are asked the connecting equation between y and x just replace the value of K in the equation
y= Kx
y= 4x
A school laboratory has two types of conical flask. Large conical flasks can hold 1.6 litres and small conical flasks can hold 600 ml. a) Mark has f large flasks and w small flasks, all full of hydrochloric acid. Write an expression for how many millilitres (ml) of acid he has. b) Bev has 2f large flasks and 2w small flasks, all full of hydrochloric acid. Write an expression for how many millilitres (ml) of acid she has.
Answer:
[tex](a)1600f+600w\\\\(b)1600\times2f+600\times2w[/tex]
Classify the following triangle. Check all that apply.
11.3
45
A. Scalene
B. Right
C. Isosceles
D. Acute
E. Equilateral
F. Obtuse
Answer:
It's A and C
Step-by-step explanation:
the angles are 45, which is less than 90
74. REAL-WORLD APPLICATIONS
A car rental company offers two plans for renting a car. Plan A: $30 per day and $0.18 per mile Plan B: $50 per day with free unlimited mileage How many miles would you need to drive for plan B to save you money?
Answer:
For plan B to save money car rental need to drive 111.1 miles as [tex]\frac{x}{y}[/tex] expresses the average amounts of miles per day car rental drive and its obtained value is 111.1.
Step-by-step explanation:
In the question it is given that a car rental company offers two plans for renting a car.
Plan A: $30 per day and [tex]$\$ 0 \cdot 18$[/tex] per mile.
Plan B: $50 per day with free unlimited mileage
It is required to find that how many miles would be needed to drive for plan B to save money. be needed to drive for plan B to save money.
Step 1 of 5
In Plan A $30 per day and [tex]$\$ 0 \cdot 18$[/tex] per mile are costed so the cost of Plan A is given by following equation,
[tex]$$A=30 y+0 \cdot 18 x$$[/tex]
In Plan B $50 per day with free unlimited mileage are costed so the cost of Plan B is given by following equation,
[tex]$$B=50 y$$[/tex]
Step 2 of 5
Now comparing the obtained equations [tex]$A=30 y+0 \cdot 18 x$[/tex]
and B=50y.
[tex]$$30 y+0 \cdot 18 x=50 y$$[/tex]
Step 3 of 5
Subtract 30y from both the sides of the obtained equation 30 y+0.18x=50y and simplify using subtraction properties.
[tex]$$30 y+0 \cdot 18 x-30 y=50 y-30 y$$\\ $0 \cdot 18 x=20 y$[/tex]
Step 4 of 5
Divide both the sides of the obtained equation [tex]$0 \cdot 18 x=20 y$[/tex] by [tex]$0 \cdot 18$[/tex] and simplify using division properties.
[tex]$$\begin{aligned}&\frac{0 \cdot 18 x}{0 \cdot 18}=\frac{20 y}{0.18} \\&x=\frac{1000 y}{9}\end{aligned}$$[/tex]
Step 5 of 5 save money car rental need to drive 111.1 miles.
[tex]$$\begin{aligned}&\frac{x}{y}=\frac{1000 y}{9 y} \\&\frac{x}{y}=111.1\end{aligned}$$[/tex]
Using a significance level of 5%, the appropriate conclusion for a test with a p-value of 0.0421 would be:
A significance level of 5% (more commonly referred to as 95%) corresponds to a statement that (only) a probability of 5% or less is that a particular randomly generated observation is accepted as significant.
In this example, the p-level (the true probability that the observations are randomly generated) is less than 5% (0.0421 <0.05), so we can draw the conclusion that the observations are significant.
p = 0.0421 means that the probability is only 0421/1000. The choice of significance level to reject the null hypothesis is optional. Traditionally, 5%, 1%, and 0.1% levels have been used. In rare situations, a 10% significance level is also used.
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A snail moves at about 3 inches per minute. How many miles per day could a
snail travel if it moved without taking a break?
0.068 mi
0.818 mi
9.818 mi
132 mi
Answer:
A. 0.068
Step-by-step explanation:
First, 3 inches to miles. 3 inches in a mile is 0.00004735.
The snail moves 0.00004735 miles per minute.
Next, search how many minutes are there in a day. There is 1440 minutes in a day.
Multiply the 1440 and 0.00004735.
1440*0.00004735=0.068
The snail can move 0.068 miles per day if it doesn't take a break.
Hope this helps!
If not, I am sorry.
A store sells 3 categories of kitchen items: cups, bowls, and spoons. There are 5 typess of cups. 4 types of bowls, and 2 types of spoons. How many different combinations can you buy in this store of: A set of objects fom two different categories?
You can by 24 combinations of items from the store
How to determine the number of combination?The given parameters are:
Cups = 3
Bowl = 4
Spoon = 2
The number of combination is:
Combination = Cups * Bowl * Spoon
So, we have:
Combination = 3 * 4 * 2
Evaluate
Combination = 24
Hence, you can by 24 combinations of items from the store
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You are the coordinator for a program that is going to take place at night in a rectangular amphitheater in the mountains. You will have no access to any electricity, but you must be able to illuminate the entire grounds. You know the intensity of the light from a lantern varies inversely as the square of the distance from the lantern. Suppose the intensity is 90 when the distance is 5 m.
a. Write an equation to model the situation.
b. Solve for the constant of variation.
c. Write the equation to model the situation using the constant () of variation.
d. You have been given lanterns with 40 light intensity. Use your equation to solve for the distance from the lantern.
e. You need to illuminate 225 km. How many meters do you need to light?
f. How many lanterns will you need?
The equation to model the situation is [tex]\mathbf{y = \dfrac{k}{x^2}}[/tex]. The constant for the variation is 2250.
What is the intensity of light?The intensity of light from a lantern varies inversely to the square of the distance from the lantern.
From the given information:
Let y be the intensity of light, andx be the distance from the lanternThen:
[tex]\mathbf{y \alpha \dfrac{1}{x^2} }[/tex]
[tex]\mathbf{y = \dfrac{k}{x^2} }[/tex] here, k = constant.
2.
If y = 90 W/m² when the distance x = 5m
Then:
[tex]\mathbf{90 = \dfrac{k}{(5)^2}}[/tex]
k = 90 × 25
k = 2250
c.
The equation to model the situation by using the constant variation is:
[tex]\mathbf{y = \dfrac{2250}{x^2}}[/tex]
d.
If the light intensity y = 40, then x is determined as:
[tex]\mathbf{40 = \dfrac{2250}{x^2}}[/tex]
[tex]\mathbf{x = \sqrt{\dfrac{2250}{40}}}[/tex]
x = 7.5 m
e.
The light is needed in (225 × 1000)m = 225000 km of illumination.
f.
The lantern required for the new light estimation is:
y = 2250/225000
y = 0.01 intensity
Therefore, we can conclude that to get an intensity of 1 W/m², we need to put 100 lanterns.
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Write the ratio of sin X and cos X
Show your work
(20 points)
Answer:
see explanation
Step-by-step explanation:
sinX = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{YZ}{XY}[/tex] = [tex]\frac{\sqrt{119} }{12}[/tex]
cosX = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{XZ}{XY}[/tex] = [tex]\frac{5}{12}[/tex]
Use π = 3
Calculate the area of a circle with
diameter
of 5cm
Answer:
18.75
Step-by-step explanation:
[tex]Area=\pi r^{2} \\Area=3(\frac{5}{2} )^{2} \\Area=18.75[/tex]
What are the x-intercepts for the graph below?
A. (6,0), (-3,0)
B. (-6,0), (-3,0)
C. (-6,0), (3, 0)
OD. (6,0), (3, 0)
Answer:
-6,0 & -3,0
Step-by-step explanation:
A beauty supply store surveyed 1,000 customers to determine which of 3 brands of concealer they like the best. 335 customers chose Brand A, 402 customers chose Brand B, while 263 customers chose Brand C. What percent of customers chose Brand B? Round off your answer to the nearest tenths place.
40.2 percent of the customers at the beauty supply store choose brand B.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The percent of customers that choose brand B = (number of brand B customers / total number of customers) * 100%
The percent of customers that choose brand B = (402/1000) * 100% = 40.2%
40.2 percent of the customers at the beauty supply store choose brand B.
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Math HELP!!! 100PTS!!!
Sketch the region given by the set {(x,y)|xy<0} on a piece of paper. Which quadrants of the plane are included in the set? Input Yes or No at the corresponding space below:
quadrant 1:
quadrant 2:
quadrant 3:
quadrant 4:
Answer:
Quadrants 1 and 4 EDIT: Quadrants 2 & 4
Step-by-step explanation:
Quadrant 1 : Edit: no
Quadrant 2 : Edit: yes
Quadrant 3 : No
Quadrant 4 : Yes
Find x so that l || m. Show your work.
Hello,
Answer:
x = 13
Step-by-step explanation:
7x + 5 + 5x + 19 = 180
⇔ 12x + 24 = 180
⇔ 12x = 180 - 24
⇔ 12x = 156
⇔ x = 156/12
⇔ x = 13
Find the first five terms of the sequence described:
a sub 1 = 3
a sub n+1 = a sub n + 5
From the given recursive definition,
[tex]a_1 = 3[/tex]
[tex]a_2 = a_1 + 5 = 3 + 5 = 8[/tex]
[tex]a_3 = a_2 + 5 = 8 + 5 = 13[/tex]
[tex]a_4 = a_3 + 5 = 13 + 5 = 18[/tex]
[tex]a_5 = a_4 + 5 = 18 + 5 = 23[/tex]
Can someone help me with these geometry questions? I can’t seem to understand them. If u find the answers, can u explain it too? It’s urgent
Question 5
Vertical angles are congruent. Therefore, [tex]3y=\boxed{150}[/tex]. The sum of two supplementary angles equals [tex]\boxed{180^{\circ}}[/tex].
Therefore, [tex]6x+150=\boxed{180}[/tex]
Question 6
[tex]\angle b-14=90-\angle b\\\\2\angle b=104\\\\\angle b=\boxed{52^{\circ}}[/tex]
Question 7
[tex]\angle d+32=180-\angle d\\\\2\angle d=146\\\\\angle d=\boxed{73^{\circ}}[/tex]
Question 8
[tex]7x-80=3x\\\\-80=-4x\\\\x=20\\\\\implies \boxed{m\angle 1=m\angle 3=60^{\circ}}[/tex]
3. (05.02 LC)
The lengths of two sides of a triangle are 14 inches and 4 inches. Which of the following dimensions is the third side of this triangle? (5 points)
10 inches
O11 inches
O 8 inches
O9 inches
CCAT Numerical Sample Question
A home appliance store has recently seen an increase in TV sales. Having noticed this, the
store manager decides to raise the TV price by 25% in order to increase the store's profits.
If the original price of a TV was 140$, how many could be bought post-raise for 4,200$?
Answer:
24
Step-by-step explanation:
140 times .25 = 35
140 + 35 = 175
4,200 divided by 175 =
24
jobtestprep
The number of TV bought post-raise for $4,200 is 24 if the store manager decides to raise the TV price by 25% in order to increase the store's profits.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
We have:
A home appliance store has recently seen an increase in TV sales.
The store manager decides to raise the TV price by 25% in order to increase the store's profits.
Original price of TV = $140
Price after increasing:
= 140 + 25% of 140
= $175
The number of TV bought post-raise for $4,200 = 4200/175
= 24
Thus, the number of TV bought post-raise for $4,200 is 24 if the store manager decides to raise the TV price by 25% in order to increase the store's profits.
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The length of one side of a triangle is 2 feet less than three times the length of its second side. The length of the third side is 3/4
of the sum of the lengths of the first two sides. Find the lengths of all three sides if the perimeter of the triangle is 17.5 feet.
P=17.5 feet
Using a system of equations, it is found that the lengths of the sides of the triangle are given as follows:
0.91 feet, 0.73 feet, 1.23 feet.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are the lengths, given by x, y and z.
The length of one side of a triangle is 2 feet less than three times the length of its second side, hence:
y = 3x - 2.
The length of the third side is 3/4 of the sum of the lengths of the first two sides, hence:
[tex]z = \frac{3(x + y)}{4} = \frac{3(4x - 2)}{4}[/tex]
The perimeter of the triangle is 17.5 feet, hence:
[tex]x + y + z = 17.5[/tex]
[tex]x + 3x - 2 + \frac{3(4x - 2)}{4} = 17.5[/tex]
[tex]4x + \frac{3(4x - 2)}{4} = 19.5[/tex]
[tex]16x + 12x = 25.5[/tex]
x = 25.5/28
x = 0.91.
Then the other sides are:
y = 3x - 2 = 3(0.91) - 2 = 0.73 feet.[tex]z = \frac{3(4 x 0.91 - 2)}{4} = 1.23 feet[/tex]More can be learned about a system of equations at https://brainly.com/question/24342899
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For the upcoming parade, Lauren needed to make her school's triangular flag into a larger, similar triangular flag. Using the information given, determine which (if any) similarity postulate she used in making her school's new flag.
In order to make the new flag, Lauren decided to triple the sides of the old flag in order to get a new one.
What is the difference between these trianglesThe old triangle is the smaller one. We can see that this triangle has increased by a factor of 3 on all sides.
We have 4 x 3= 12
2 x 3 = 6
7 x 3 = 21
The calculated values above is what produced the new larger flag.
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i need help asapp...
The value of b is -16 and the value of ac is 60 after comparing with the standard equation.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
We have a quadratic function:
= 3x² - 16x + 20
On comparing with standard function:
b = -16
a = 3
c = 20
ac = 3(20) = 60
Thus, the value of b is -16 and the value of ac is 60 after comparing with the standard equation.
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Find the equation of the line shown
The equation of line passing through points (4.5. 0) and (0, 9) is y = -2x + 9.
What is the equation of a line passing through two given points in a 2-dimensional plane?Suppose the given points are (x_1, y_1) and (x_2, y_2), then the equation of the straight line joining both two points is given by
[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]
The graph of the picture shows two clear points (4.5. 0) and (0, 9)
[tex](y - 0) = \dfrac{9 - 0}{0 - 4.5} (x -4.5)\\\\\\(y - 0) = \dfrac{9 }{- 4.5} (x -4.5)\\\\\\-4.5y = 9(x -4.5)\\\\-4.5y = 9x - 40.5\\\\y = -2x + 9[/tex]
Hence, the equation of line passing through points (4.5. 0) and (0, 9) is y = -2x + 9.
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Which expression is equivalent to the following complex fraction? StartFraction 2 Over x EndFraction minus StartFraction 4 Over y EndFraction divided by StartFraction negative 5 Over y EndFraction + StartFraction 3 Over x EndFraction StartFraction 3 y + 5 x Over 2 (y minus 2 x) EndFraction StartFraction 2 (y minus 2 x) Over 3 y minus 5 x EndFraction StartFraction 2 (y minus 2 x) (3 y minus 5 x) Over x squared y squared EndFraction StartFraction x squared y squared Over 2 (y minus 2 x) (3 y minus 5 x) EndFraction
The equivalent expression of [tex]\frac{\frac 2x - \frac 4y}{-\frac 5y + \frac 3x}[/tex] is [tex]\frac {2(y - 2x)}{ 3y-5x}[/tex]
How to determine the equivalent expression?The complete question is in the attached image
We have:
[tex]\frac{\frac 2x - \frac 4y}{-\frac 5y + \frac 3x}[/tex]
Take the LCM
[tex]\frac{\frac {2y - 4x}{xy}}{\frac{-5x + 3y}{xy}}[/tex]
Divide through by xy
[tex]\frac {2y - 4x}{-5x + 3y}[/tex]
Rewrite as:
[tex]\frac {2y - 4x}{ 3y-5x}[/tex]
Factor out 2
[tex]\frac {2(y - 2x)}{ 3y-5x}[/tex]
Hence, the equivalent expression of [tex]\frac{\frac 2x - \frac 4y}{-\frac 5y + \frac 3x}[/tex] is [tex]\frac {2(y - 2x)}{ 3y-5x}[/tex]
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solve the following system of equations for x : y=4-x2 x-y=2
a. x= 2,-4
b. x= 2,-3
c. x= -2,4
d. x= -3
Answer:
b. x=2, -3
Step-by-step explanation:
So I'm assuming the two equations are: [tex]y=4-x^2[/tex] and [tex]x-y=2[/tex]
Since it's asking to solve to solve for x. Then we need to solve for y in one of the equations, so that's it's defined using x, then substitute that into the other equation, that way the only variable left is going to be the x variable.
So since y is already solved for in the first equation. I'll plug that into the second equation.
Original equation:
[tex]x-y=2[/tex]
Substitute 4-x^2 in as y
[tex]x-(4-x^2)=2[/tex]
Distribute the negative sign
[tex]x-4+x^2=2[/tex]
Organize it so it's in order by degree
[tex]x^2+x-4=2[/tex]
Subtract 2 from both sides
[tex]x^2+x-6=0[/tex]
So now we have a quadratic equation and we're trying to find the zeroes. You can use the quadratic equation, but since the only options are integers, we can easily factor this equation. So you need to look for factors of -6, which add up to 1. I like to think about it as find two numbers with a difference of 1, and then figure out which is going to be positive and which is going to be negative after. So knowing this you can easily see 3 and 2 have a difference of 1. Since the 1 is positive, that means the 3 has to be positive and the 2 has to be negative
Use the factors: 3 and -2 to rewrite the equation:
[tex](x+3)(x-2)[/tex]
Now set each factor equal to 0
x+3 = 0
x=-3
x-2=0
x=2
this gives you the two solutions: -3, and 2
A princess has two pet dragons. The dragons can eat 300kg of chocolate in 12 days. How many DAYS will the same 300kg last if got 4 more dragons for her birthday?
The chocolate will last for 1 day, if she gets 4 more dragons
How to determine the number of days?The expression can be represented using the following ratio:
Ratio = Dragons : Days : Chocolate
For the 2 dragons she has, we have:
Ratio = 2 : 12 : 300
When she gets 4 more dragons, we have:
Ratio = 6 : days : 300
Equate both ratios
6 : days = 12 : 2
Express as fraction
days/6 = 2/12
Multiply both sides by 6
days = 6 * 2/12
Evaluate
days = 1
Hence, the chocolate will last for 1 day
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Please help ill give whoever answers the best the brainliest answer :0
Answer: Exponential
Step-by-step explanation:
Because every time x increases by 1, y increases by a factor of 3.
6/2 = 3
18/6 = 3
54/18 = 3
162/54 = 3
P.S.: I ANSWERED ONE OF YOUR PROBLEMS WITH EXACTLY THE DATA IN THIS TABLE BY COINCIDENCE HAHA
HELP HELP HELP HELP
HELP HELP HELP HELP
HELP HELP HELP HELP
HELP HELP HELP HELP
Answer:
19 inches
Step-by-step explanation:
So the perimeter of a triangle is the sum of the three sides. So the perimeter is [tex]\sqrt{65} + \sqrt{35} + \sqrt{26}[/tex] which is approximately 19.077 inches but in this case the answer is 19 inches
This is quadratic equations
Help asap!!
Answer:
x = - 3 ± [tex]\sqrt{2}[/tex]
Step-by-step explanation:
x² + 6x + 7 = 0 ( subtract 7 from both sides )
x² + 6x = - 7
using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = - 7 + 9
(x + 3)² = 2 ( take square root of both sides )
x + 3 = ± [tex]\sqrt{2}[/tex] ( subtract 3 from both sides )
x = - 3 ± [tex]\sqrt{2}[/tex]
At noon, Bradley began steadily increasing the
speed of his car by 2 miles per hour every minute. At 12:15 p.m., he realized he was going
15 miles per hour over the speed limit. If his speed at noon was 40 miles per hour, what was the speed limit at 12:15 p.m.?
Please show work step by step
Answer:
25.5 mph
Step-by-step explanation:
So Bradley's speed can be modeled by the equation y=2x+40 where y=speed, x=time in hours after noon, and b=initial speed
So 12:15 is 15 minutes after noon, which is also 0.25 or 1/4 of an hour after noon. This is the x-value. Plug this into the equation to get his speed at 12:15
y=2(0.25)+40
y=0.5+40
y=40.5
So his speed was 40.5 at the time and since he was going 15 miles over the speed limit, the speed limit is 15 less than his speed
40.5 - 15 = 25.5
Answer:
25.5 mph
Step-by-step explanation:
Given information:
Bradley increases the speed of his car by 2 miles per hour. 12.00 pm: Bradley's speed = 40 mph12.15 pm: Bradley is driving at 15 miles over the speed limit.Calculate Bradley's speed at 12.15 pm:
60 minutes = 1 hour
⇒ 15 minutes = 1/4 hour
⇒ speed at 12.15 pm = speed at 12.00pm + 1/4 of 2 mph
= 40 mph + 0.5 mph
= 40.5 mph
If he was 15 miles over the speed limit at 12.15 pm then:
⇒ speed limit = speed at 12.15pm - miles over the limit
= 40.5 mph - 15
= 25.5 mph
Therefore, the speed limit was 25.5 mph.
An american tourist changed us $1100 into barbados currency at the exchange rate us $1.00= bbd=$5.50. calculate the amount of bbd he received.
The amount of bbd received for the given currency exchange rate is 6050 bbd.
What is the currency exchange rate?The value of one country's currency in relation to the currencies of other countries or economic zones is known as the currency exchange rate.
The majority of currency exchange rates are free-floating and fluctuate according to market supply and demand.
There may be restrictions on some currency exchange rates since they are fixed to the value of other currencies.
According to the question,
Currency exchange rate: $1.00=5.50bbd
So, $1100=1100*5.50 bbd
=6050 bbd
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