Answer:
Distance 10 miles: Displacement 7.07 miles
Step-by-step explanation:
Let's depict Jake's journey on the Cartesian coordinate axis. Let Jake initially be at the point (0 ; 0 ) . Then you can determine how far from the starting point (0; 0) it has moved away (displacement ). According to the Pythagorean theorem , we will find it He walked 10 miles And displacement is found by the Pythagorean theorem
[tex]\bf displacement = \sqrt{5^2+5^2} =\sqrt{50} \approx 7.07m[/tex]
Then the answer is : Distance 10 miles: Displacement 7.07 miles
One thousand dollars is deposited into an ordinary annuity after each 6 month period for 2 years. The account pays 4 percent interest compounded semiannually.what is the future value of the account in 2 years ??
Answer:
$4121.61
Step-by-step explanation:
Use the formula for the balance of an ordinary annuity.
A = P((1 +r/n)^(nt) -1)/(r/n)
A = $1000((1 +.04/2)^(2·2) -1)/(.04/2) ≈ $4121.61
The future value of the account is $4121.61.
A store sells 6 apples for $2.82. At that rate, how much would 1 apple cost?
Answer:
$0.46
Step-by-step explanation:
6 apples = $2.82
1 apple = 2.82 / 6
= $0.46
The scale for a map to actual distance is 2 centimeters to 100 miles. The driving distance on the map between Los Angeles and Las Vegas is 5.4 centimeters. What is the actual distance, in miles, between Los Angeles and Las Vegas?
[tex]\begin{array}{ccll} \stackrel{cm}{map}&\stackrel{mi}{actual}\\ \cline{1-2} 2&100\\ 5.4&x \end{array}\implies \cfrac{2}{5.2}=\cfrac{100}{x}\implies 2x = 520\implies x = \cfrac{520}{2}\implies x = 260[/tex]
After Don ate 1/8 of the pie and Ron ate 1/7 of the remainder of the pie, the other five friends divided the rest of the pie equally among themselves what percent of the original pie did each friend eat?
x = the whole pie.
well, Don ate (1/8)x, how much was it left? [tex]x -\cfrac{1}{8}x\implies \cfrac{x}{1} -\cfrac{x}{8}\implies \cfrac{8x-x}{8}\implies \cfrac{7x}{8}[/tex]
well, so that's the remainder.
Then Ron ate 1/7 of the remainder [tex]\cfrac{7x}{8}\div 7\implies \cfrac{7x}{8}\div \cfrac{7}{1}\implies \cfrac{7x}{8}\cdot \cfrac{1}{7}\implies \cfrac{x}{8}[/tex]
well, how much is it left? [tex]\stackrel{\textit{Don leftover}}{\cfrac{7x}{8}}-\stackrel{\textit{Ron's bite}}{\cfrac{x}{8}}\implies \cfrac{6x}{8}\implies \cfrac{3x}{4}[/tex]
well, there are 5 friends how much did each one get from the whole pie?
[tex]\cfrac{3x}{4}\div 5\implies \cfrac{3x}{4}\div \cfrac{5}{1}\implies \cfrac{3x}{4}\cdot \cfrac{1}{5}\implies \implies \cfrac{3x}{20}\implies \stackrel{\textit{each friend}}{\boxed{\cfrac{3}{20}x}}[/tex]
negative seven times a number is negative two hundred forty five. what is the number?
pleasee i need help
Answer:
35
Step-by-step explanation:
since i couldn't answer before
Simplify the linear expression
-5/8a+2/3-1/4a-5/6
Enter your answer as simplified fractions in the boxes.
Answer:
[tex]\huge\boxed{-\frac{7}{8}a - \frac{1}{6}}[/tex]
Step-by-step explanation:
This question utilizes combining like terms and common denominators. First you have to convert both terms including "a" to have a denominator of 8. You would do this by multiplying both the numerator, and the denominator by the same value. This value in the case of [tex]-\frac{1}{4} a[/tex] would be 2, and in the case of [tex]\frac{2}{3}[/tex] the value would be 2. This would result in the equation: [tex]-\frac{5}{8}a+\frac{4}{6}-\frac{2}{8}a-\frac{5}{6}[/tex]. Then simply combine like terms to get your final answer.
What is the equation for the line in slope-intercept form?
Se mezcla café del tipo A de 6 €/kg con café del tipo B de 4,5 €/kg para obtener una mezcla de 60 kg a 5 €/kg. ¿Cuántos kilogramos de café debemos tomar de cada tipo?
Will give brainliest if helpful and correct
Answer:
(-2, -1.5)
Step-by-step explanation:
hope this helps!
What is .7899 rounded 4 decimal places
Mr. D math
Find the distance between (12,5) and (3,4) approximated to the 1 decimal place.
select the correct response
0.2
9.3
9.1
9.4
The distance between (12,5) and (3,4) approximated to the 1 decimal place is 9.1.
To find the distance between two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex], we will use the distance formula:
Distance = [tex]\(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)[/tex]
In this case, [tex]\((x_1, y_1) = (12, 5)\)[/tex] and [tex]\((x_2, y_2) = (3, 4)\)[/tex].
Substituting these values:
Distance = [tex]\(\sqrt{(3 - 12)^2 + (4 - 5)^2}\)[/tex]
Distance = [tex]\(\sqrt{(-9)^2 + (-1)^2}\)[/tex]
Distance = [tex]\(\sqrt{81 + 1}\)[/tex]
Distance = [tex]\(\sqrt{82}\)[/tex]
Now, approximate value of [tex]\(\sqrt{82}\)[/tex] to 1 decimal place:
[tex]\(\sqrt{82} \approx 9.1\)[/tex]
So, the correct response is 9.1.
Learn more about distance here:
https://brainly.com/question/32846365
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Could I get help…………
Answer:
B
Step-by-step explanation:
HOPE IT HELPS <3
MARK as brainliest
I need answers to all of these and explanation as well. Thank you.
4) d
let's firstly convert the mixed fractions to improper fractions, and then proceed
[tex]\stackrel{mixed}{4\frac{3}{8}}\implies \cfrac{4\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{35}{8}}~\hfill \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}} \\\\[-0.35em] ~\dotfill\\\\ -4\frac{3}{8}-\left( -1\frac{1}{4} \right)\implies -\cfrac{35}{8}-\left( -\cfrac{5}{4} \right)\implies -\cfrac{35}{8}+\cfrac{5}{4}\implies \cfrac{-(1)(35)~~ +~~(2)(5)}{\underset{\textit{using this as LCD}}{8}}[/tex]
[tex]\cfrac{-35+10}{8}\implies -\cfrac{25}{8}\implies -3\frac{1}{8}[/tex]
5)
hmmm we can pick any of those %, hmmm let's use 18%, keeping in mind that the whole amount is really the 100% and that's say "x", hmmm we know the 18% of "x" is $5.87.
[tex]\begin{array}{ccll} \%&amount\\ \cline{1-2} 18&5.87\\ 100&x \end{array}\implies \cfrac{18}{100}=\cfrac{5.87}{x}\implies \cfrac{9}{50}=\cfrac{5.87}{x} \\\\\\ 9x = 293.5\implies x = \cfrac{293.5}{9}\implies x = 32.6\overline{1}\qquad \textit{about 32 bucks and 61 cents}[/tex]
In the board game Clue, the object of the game is to determine the which character is the murderer, which weapon was used and in which room the murder took place (e.g., “Colonel Mustard with the Candlestick in the Library”). There are 6 different characters, 6 weapons, and 9 rooms. How many different outcomes are possible?
Answer: 324 different outcomes
Step-by-step explanation: Multiply all of the possibilities together to get the total amount of outcomes. 6 * 6 * 9 = 324
Would appreciate a brainly <3
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
Fertilizer puts nitrogen into the soil, so using fertilizer puts more nitrogen into the carbon cycle.
When you use fertilizer, its because a certain plant you are planting uses all the nitrogen in the soil, so it won't grow next time. Too much fertilizer, though, would burn up your plant (not literally). Some plants put their own nitrogen into the soil. I can't think of one off the top of my head, but I believe potatoes do. Anyways, this is where crop rotation came into play.
Things like corn take a lot of nitrogen, so the next time you had to plant whatever plant potatoes, which again may be wrong, in order to get nitrogen for the corn to grow next season. Today we have fertilizer, so we can give them nitrogen while they grow, instead of putting in other plants, taking more time.
So really, it doesn't do much, because your plant takes all the nitrogen that the Fertilizer adds.
Answer:
People have been converting atmospheric nitrogen into nitrogen fertilizers and then applying the fertilizers to plants in to grow more crops. This has previously been quite effective, allowing individuals to farm on previously unproductive lands, and provide adequate food for expanding populations of people. Unfortunately, fertilizers are frequently overused, which can lead to issues.
Nitrogen from fertilizers excretes into soils, typically promoting the growth of weeds rather than native vegetation. Nitrogen then washes into streams, resulting in a nutrient overload, a phenomenon known as eutrophication.
Eutrophication causes aquatic weeds to proliferate excessively in freshwater lakes. These aquatic weeds occasionally occupy entire lakes, streams, or rivers. Green algae cloud the water, and gooey algal slime covers the shallow rocks.
When nitrogen-rich waters flow down into the ocean, they worsen the situation. High nitrogen concentrations in the Mississippi River Delta have generated a 'dead zone' where the water flows into the Gulf of Mexico. This has occurred every summer for over 30 years. In 2001, this dead zone, where oxygen levels are too low for species to thrive, encompassed over 8000 square miles of water. It occurs when nitrogen in the water enables algae to quickly grow out of control.
Step-by-step explanation:
Great article to look at for more information -
https://www.nytimes.com/2017/07/27/climate/nitrogen-fertilizers-climate-change-pollution-waterways-global-warming.html
1. Mark each of the following graphs as (a) a function, but not one-to-one, (b) one-to-one function, or (c) not a function. In each case, explain how you know. (1 point each)
Answer:
(a) a function, but not one-to-one
Step-by-step explanation:
The graph is of a function if it passes the vertical line test: a vertical line intersects the graph in at most 1 point.
The function is one-to-one if it passes the horizontal line test: a horizontal line intersects the graph in at most 1 point.
__
Here, the graph consists of a series of non-overlapping horizontal lines. It passes the vertical line test (is a function), but a horizontal line can intersect the graph in an infinite number of points (is not one-to-one).
The graph is a function, but not one-to-one.
What is negative 10 divided by .22
Answer:
That would be negative 45 or - 45
Please correct me if im wrong
cual de estas fracciones es mayor que 2/5?explica como lo has averiguado
Answer:
33333
Step-by-step explanation:
find the slope from the pair of the points
(-3,-4) (1,5)
Answer:
2.25
Step-by-step explanation:
m = 9 / 4 = 2.25
points belong to an increasing, linear function.
Equation: y = 2.25x + 2.75.
BRAINLIEST?
a 25 -ft ladder rests against the side of a house. the distance between the top of the lader and the ground is 17 ft more than the distance between the base od the ladder and the bottom of the house. find both distances.
Answer:
Step-by-step explanation:
x² + (x + 17)² = 25²
x² + x² + 34x + 289 = 625
2x² + 34x - 336 = 0
x² + 17x - 168 = 0
x = (-17 ±√(17² - 4(1)(-168))) / (2(1))
x = 7 or - 24 the negative distance makes no sense, but if we plug our good answer of 7 ft in for the base length, the height comes out to be + 24 ft
base = 7 ft
height = 24 ft
What is the meaning of algebra and expressions
In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number). For example, 3x2 − 2xy + c is an algebraic expressio
Answer:
Algebra is a branch of mathematics that substitutes letters for numbers. Algebra is about finding the unknown or putting real-life variables into equations and then solving them. Algebra can include real and complex numbers, matrices, and vectors. An algebraic equation represents a scale where what is done on one side of the scale is also done to the other and numbers act as constants.
Expressions is a Numbers, symbols and operators (such as + and ×) grouped together that show the value of something.
Examples:
• 2 + 3 is an expression
• 3 − x/2 is also an expression
Nina brought 25 cupcakes to school for her friends. There were two flavors, chocolate and vanilla. For every 2 chocolate cupcakes she brought, Nina brought 3 vanilla cupcakes.
How many vanilla cupcakes did Nina take to school? Explain.
The number of vanilla cupcakes that Nina took to school is; 15 vanilla cupcakes
We are given;
Number of cake Nina bought for her friends = 25 cupcakes
There are two flavors namely chocolate and vanilla.
Now, we are told that for every 2 chocolate cupcakes she bought, she bought 3 vanilla cupcakes. Thus;
Fraction of chocolate cupcakes of the total = 2/(2 + 3) = 2/5
Fraction of vanilla cupcakes of the total = 3/5
Thus;
Number of the chocolate cupcakes she bought = 2/5 × 25 = 10 chocolate cupcakes
Number of the vanilla cupcakes she bought = 3/5 × 25 = 15 vanilla cupcakes
Read more at; https://brainly.com/question/14777115
98546 dividido para
46
Answer:
2142.30435
Step-by-step explanation:
The answer is 2142 and leaves remainder
An experiment is given together with an event. Find the (modeled) probability of each event, assuming that the dice are distinguishable and fair, and that what is observed are the numbers uppermost.
Two dice are rolled; the numbers add to 11.
Answer:
A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)
Step-by-step explanation:
A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)
Which expression represents 81 decreased by an unknown number?
81÷a
81a
81−a
81 + a
Answer:
81 - a
Step-by-step explanation:
Decreased
means to subtract
81 –
by an unknown number
means a variable such as a or x
therefor
81 – a
Triangles FEG and FDH are similar. If segment DH is 28 units, what is the
measure of segment EG?
Can someone help me please
Answer:
52.7%
Step-by-step explanation:
If I am correct it means to round the percentage, so it would be 58% if you are rounding it
consider the system of equations. which shows an equivalent system of equations?
see attatched
Answer:
A.
Step-by-step explanation:
All choices show the first original equation.
Each choice shows a different second equation.
Take the second original equation:
6x + 5y = 30
Multiply both sides by -5.
-30x - 25y = -150
Answer: A.
2/3 of a cup of batter can make 5/6 of a batch of pancakes. How many cups of water are needed to make one batch of pancakes?
Answer:
1 11/12 cups of water
Select the statements which could describe the graph of a nonproportional relationship.
Answer:
what it says iiiiiiii888i888iiiii
