2020 District MA Grade 8 BaselineQuestion: 1-4Alejandro wrote the number 6 240,000 in scientific notation. Which number did he write?
Answers
Scientific method is also known as standard form method.
I guess you want to represent 240,000 in scientific notation
240, 000
To convert to scientific notation we move to the left until we meet the last digit. Moving left denote plus sign. Therefore,
\(240,000=2.4\times10^5\)Related Questions
Management of natural resources can affect the sustainability of human populations. For example, consider an effort to decontaminate a small village’s water supply. This effort is projected to increase the carrying capacity from an initial population of 400 people (P=400) to 450 people (K = 450) during the course of 10 years (x=10). Use the simulation to determine the growth rate r of the population in this village.
Answers
The growth rate of the population, given the initial population and the population after 10 years is 12. 5 % every 10 years.
How to find the growth rate ?To find the percent change or growth rate of a quantity between two different values, you can use the formula:
Percent change = ( new value - old value ) / old value x 100%
The new value would be the population of the village after 10 years which is 450 people.
The old value is the initial population of the village which is 400
The growth rate of the population is:
= ( 450 - 400 ) / 400 x 100 %
= 12. 5 %
The growth rate for the village is therefore 12. 5 % every ten years.
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Caisse can download a maximum of 1000 mb of songs or movies to her smartphone each month. the file of each movie is 85mb, and the file of each song is 4mb. write an inequality that represents the number of movies(M) and songs(S) that Caisse downloads each month?
Answers
If Caisse can download a maximum of 1000 mb of songs or movies then the inequality that represents the number of movies and songs that Caisse downloads each month is 85x+4y<1000.
Given that Caisse can download a maximum of 1000 mb of songs or movies to her smartphone each month. the file of each movie is 85mb, and the file of each song is 4mb.
We are required to find the inequality that represents the number movies and songs that Caisse downloads each month.
Inequality is like an equation that shows the relationship between variables that are expressed in greater than, less than , greater than or equal to , less than or equal to sign.
let the number of movies be x and the number of songs be y.
According to question Caisse cannot download more than 1000 mb, so we will use less than towards equation.
It will be as under:
85x+4y<1000.
Hence if Caisse can download a maximum of 1000 mb of songs or movies then the inequality that represents the number of movies and songs that Caisse downloads each month is 85x+4y<1000.
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solve the following questions if |7|x|-4=a then find the value of a
Answers
Answer:
the value of a is 4 ÷ 7
Step-by-step explanation:
The computation of the value of a is shown below:
Given that the following equation
|7|x| - 4 = a
Based on the above equation
As we can see that the modulus is applied
So after removing the modulus, it would be
7x - 4 = a
7x = 4
x = 4 ÷ 7
Hence, the value of a is 4 ÷ 7
The same would be relevant
Samuel needs to replace a portion of his rain gutter. The height of the roof is 25 feet and the
length of his ladder is 30 feet. What is the maximum distance away from house that he can place
the ladder? Round your answer to the nearest foot.
Answers
Answer:
16.6 ftStep-by-step explanation:
The height of the house, the ground and the ladder forms a right angle triangle, with the following parameters stated below.
1. the hypotenuse is the length of the ladder which is 30 feet
2.the opposite is the height of the house, which is 25 feet
3. the adjacent is the distance of the ladder away from the building, this is the parameter we are solving for.
Since we have two sides of the triangle given, we can employ Pythagoras theorem to solve for the third side of the triangle
let the the opposite be x
we know that
\(hyp^2= opp^2+adj^2\\\\ 30^2= x^2+25^2\\\\ 900= 625+x^2\\\)
Solving for x we have
\(x^2= 900-625\\\\X^2= 275\\\\x=\sqrt{275} \\\\x= 16.58\)
Hence the maximum distance away from house that he can place
the ladder is 16.6 ft to the nearest foot
What is 3785 divided by 30?
Answers
y=2x2+18 find coordinates of the vertex
Answers
Answer:
Step-by-step explanation:
x- coordinate of the vertex is
x= -b/2a = -0/2*2 = 0
y-coordinate is
y= 2*0 +18 = 18
so vertex is at (0, 18)
Un centro recreacional cuenta con dos piscinas
temperadas, una para adultos que tiene una
capacidad de 240 000 litros de agua y una para
niños cuya capacidad es 2/3 de la de adultos. Cada
una de estas piscinas cuentan con un desagüe que
permite desalojar 2 500 litros de agua cada 5 min.
Si se requiere vaciar el agua de ambas piscinas y los
desagües se abren a las 8:10 am.
1. ¿A qué hora se terminará de vaciar cada piscina?
2. ¿cuánto más tardará en vaciarse una piscina que la otra que la otra?
Answers
1) La piscina grande tardó 8 horas en ser vaciado, culminando a las 4: 10 PM, y la piscina pequeña tardó 5 horas y 20 minutos en ser vaciado, culminando a las 1: 30 PM.
2) La piscina grande tardará 2 horas y 40 minutos más en vaciarse que la piscina pequeña.
¿Cómo determinar y estimar tiempos de vaciado de una piscina?
En este problema tenemos el caso de dos piscinas de diferente capacidad, la primera piscina tiene una capacidad de 240 000 litros de agua y la segunda piscina tiene una capacidad de 160 000 litros de agua. Ambas cuenta con un desagüe que desaloja a una tasa de 500 litros de agua por cada minuto de operación.
El tiempo total de vaciado es igual a volumen de la piscina dividido por la tasa de vaciado, entonces:
Piscina grande (V = 240 000 L, Q = 500 L / min)
t = V / Q
t = (240 000 L) / (500 L / min)
t = 480 min
Piscina pequeño (V = 160 000 L, Q = 500 L / min)
t = V / Q
t = (160 000 L) / (500 L / min)
t = 320 min
1) La piscina grande tardó 8 horas en ser vaciado, culminando a las 4: 10 PM, y la piscina pequeña tardó 5 horas y 20 minutos en ser vaciado, culminando a las 1: 30 PM.
2) La piscina grande tardará 2 horas y 40 minutos más en vaciarse que la piscina pequeña.
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lus
Payton thought the mix would make 36
cookies, but it only made 28. What was
her percent error?
Round to the nearest percent .
Answers
Answer:Percent error=29%
Step-by-step explanation:
Percent error=(Estimated value-Actual value/ Actual value) × 100
Estimated value = amount of cookies Payton thought the mix could make = 36
Actual Value= Amount of cookies made= 28
Percent error= (36- 28)/ 28 x 100
=8/28 x 100
=0.2857 x 100
=28.57 rounded to 29%
What s the value of h expression (2) 8
Answers
Answer:
the value of h is 16
The equation that represents ⨀A is (x+1)2+(y−1)2=16. Determine whether point B(3,1) is on the circle.
Answers
Answer:
Step-by-step explanation:
center=(-1,1)
radius=√16=4
distance between (-1,1) and (3,1)=√[(3+1)²+(1-1)²]=√[16+0]=√16=4=radius
Hence point lies on the circle.
What is the solution to this system of equations?
3x+2y=−10
y=−x−4
Possible Answers
-2, -2 -2, 2 -18, 14 no solution
Answers
In a survey, the planning value for the population proportion is p*= 0.25. How large a sample should be taken to provide a 95% confidence interval with a margin of error of 0.06? Round your answer up to the next
whole number.
Answers
The sample should be taken to provide a 95% confidence interval is 200.
What is a confidence interval?A confidence interval is made up of the mean of your estimate plus and minus the estimate's range. This is the range of values you expect your estimate to fall within if you repeat the test, within a given level of confidence.
Confidence is another name for probability in statistics.
Given the planning value for the population proportion,
probability, p = 0.25
q = 1 - p = 1 - 0.25
q = 0.75
margin of error = E = 0.06
value of z at 95% confidence interval is 1.96,
the formula for a sample is,
n = (z/E)²pq
n = (1.96/0.06)²*0.25*0.75
n = 200.08
n = 200 approx
Hence sample size is 200.
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change .350 to hundredths
Answers
Answer:
.35
Step-by-step explanation:
Just drop the zero .350 is 350 thousandths = 35 hundredths
Solve for x
2(x−1)=5(x−2)
Give your answer as an improper fraction in its simplest form.
Answers
Step-by-step explanation:
2(x-1)=5(x-2)
=2x-2=5x-10
=2x-5x= -10+2
= -3x= -8
=
\( \frac{8}{3} \)
Answer:
\(x \: = \: \frac{8}{3} \)Step-by-step explanation:
♤ Given Question:-To solve for x♤ Given Equation:-2(x−1)=5(x−2)♤ Solution:-2(x - 1) = 5(x - 2)
=> 2 × x - 2 × 1 = 5 × x - 5 × 2 [Distributive property]
=> 2x - 2 = 5x - 10 [Simplification]
=> 5x - 2x = 10 - 2 [Bringing like terms on one side]
=> 3x = 8 [Simplification]
\( = > x = \frac{8}{3}(ans) \)
[In simplest form of improper fraction]
Signature of the Principle investigator on the final proposal implies his responsibility for the following except
Answers
The signature of the Principal Investigator on the final proposal does not imply responsibility for the availability of funding or the financial aspects of the project.
The signature of the Principal Investigator (PI) on the final proposal does not imply responsibility for certain aspects of the project beyond their control or expertise. While the PI plays a crucial role in leading and overseeing the research project, there are certain areas for which they may not bear direct responsibility.One aspect the PI may not be responsible for is the availability of funding. Although they may have been involved in securing the initial funding or writing the budget proposal, the final decision and availability of funds typically lie with funding agencies, institutions, or sponsors. The PI's signature on the proposal signifies their commitment to the project but does not guarantee funding.Additionally, the PI may not be accountable for the technical or scientific success of every aspect of the project. Research projects often involve interdisciplinary collaborations and multiple team members who contribute their expertise. The PI's signature signifies their leadership and overall responsibility, but they rely on the expertise and contributions of other team members for specific tasks and outcomes.Furthermore, the PI may not bear sole responsibility for external factors that can impact the project, such as changes in regulations, unforeseen events, or external market conditions. While they may adapt the project's direction and approach as needed, these external factors are beyond their direct control.In summary, the signature of the Principal Investigator on the final proposal does not imply responsibility for funding availability, technical success of every aspect, or external factors that may influence the project. The PI's role is primarily centered around leadership, coordination, and overall project management.The complete question should be What does the signature of the Principal Investigator on the final proposal NOT imply responsibility for?
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f
Solve the equation + 22 = 17.
3
Answers
Answer: subtract 22 on both sides
Step-by-step explanation:
Now you would have -5 to solve take 3 and multiply on both sides to get f=-15
Hope this helps
Answer: -5
Step-by-step explanation:
Consider the statement:
20% of 25 is 5
Value: 5
The number 5 is the
The number 25 is the
The number 20 is the
Answers
Answer:
5 is the correct answer
Step-by-step explanation:
20 divide by 100 because it is in percent and 20 miltiply by 100 and there is the sign of multiply (of) is also known as multiply soo 20\100 * 25 will be the answer 5
Which of the following statements is TRUE? O a. If f(a) and g(x) are differentiable functions defined on the closed interval [a, b], and f(x) attains its global maximum at x = c and g(x) attains its global maximum at x = d, then the function f(x) · g(x) attains its global maximum on [a, b] at x = cºd. O b. All of the statements are false. a O c. Every local maximum is a global maximum d. The global maximum value of a differentiable function f(x) on a closed interval (a, b) must occur at a critical value or an endpoint e. The critical points of f'(2) are same as the critical points of f(x)
Answers
ANSWER
c
It is c because i did the work and i know.
PLEASE HELPPPPPPPPPPPPPPPPPPPPP.I WILL MARK YOU BRAINLiST The zookeeper needs to know how many bananas to order for the next 26 weeks. Each week the monkeys eat a total of 63 bananas. How many bananas should the zookeeper order?**
Answers
Answer:
1638 bananas
Step-by-step explanation:
Since the monkeys eat 63 bananas a week, they will eat 63 * 26 = 1638 bananas in 26 weeks so the zookeeper should order 1638 bananas.
Using a pencil, paper, and protractor, or a drawing program, draw an isosceles triangle that has exactly one 50° angle. Use the appropriate geometric markings to label the triangle, angle measures, and congruent sides. Include your drawing in your answer.
If another person were given these same instructions, would their drawing look the same or different? Explain your reasoning using complete sentences.
Answers
A person given the same details would construct a similar triangle, but might not construct a congruent triangle
How to construct the triangle?To construct the isosceles triangle, we make use of a drawing program.
Using the drawing program, we have the following parameters:
AC = BC = 8 units
AB = 6.76 units
∠A = ∠B = 65°
∠C = 50°
See attachment for the isosceles triangle.
A construction by another personWhen another person is given the same details, the person may or may not construct a drawing that looks like this.
However, the person's construction would be similar to the one I attached.
The reason for this is that, only an angle measure is given.
An angle measure can be used to create similar triangles (by AAA similarity theorem) but it does not guarantee congruent triangles
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Simplify:4w + 3 + 2w - 1.
Answers
Answer:
2(3w+1)
Explanation:
Given the expression:
\(4w+3+2w-1\)Step 1: Rearrange to bring all terms containing w together.
\(=4w+2w+3-1\)Step 2: Combine like terms to simplify
\(=6w+2\)We can further factorize it to obtain:
\(=2(3w+1)\)Geometry
Do it right
Answers
Answer:
x = 26
Step-by-step explanation:
sum of consecutive interior angles is 180
2(x + 15) + (3x + 20) = 180
2x + 30 + 3x = 160
5x = 130
x = 26
Answer:
value of x is 26.
Step-by-step explanation:
Given:
2(x+15)°+(3x+20)°=180°
Since the sum of angle of co interior angle is supplementary.
Solving for x.
2(x+15)°+(3x+20)°=180°
opening bracket2x+30+3x+20=180
Solving like terms5x+50 =180
Subtracting both side by 50.5x=180-50
5x=130
dividing both side by 5.x=130/5
x=26
Therefore value of x is 26.
-1 19/50 as a decimal number, what is it?
Answers
Answer:-1.38
19/50=.38 in decimal form +(-1) = -1.38
Answer:
uytrfvvhhhhhhhjkklñññññlluuyjnkuyjuyjju
The expression 3s + s + 3 represents how much Alex and his family will spend to go to the movies. Which statement explains how this expression can be simplified?
Answers
Answer:
Step-by-step explanation:
The expression 3s + s + 3 represents the total amount Alex and his family will spend to go to the movies. To simplify this expression, we can combine like terms.
The terms 3s and s are like terms because they both have the variable "s" raised to the power of 1. To combine them, we add their coefficients:
3s + s = (3 + 1)s = 4s
Therefore, the simplified expression is 4s + 3, which represents the total amount Alex and his family will spend to go to the movies.
Whoever answers i’ll mark brainliest
Draw out a two column proof
Answers
five people are seated in a row anita sits next to diane but not next to chris chris and diane are seated next to each other alex is next to anita and rob is next to chris who is seated in the middle
Answers
Answer:
Diane
Step-by-step explanation:
Alex, Anita, Diane, Chris, Rob
Sketch the lines through the point with the indicated slopes. Make the sketches on the same set of coordinate axes
Point
Slopes
(1, 1)
(a) 3 (b) -3 (c) -5/2 (d) Undefined
Answers
The sketch for slope is attached below.
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Point Slopes
(1, 1) (a) 3
_ (b) -3
_ (c) -5/2
_ (d) Undefined
a) Now, using slope intercept form
y - 1= 3 (x-1)
y- 1= 3x- 3
y= 3x - 2
(b) Equation of a line has a slope -3 is given by
y - 1= (-3) (x-1)
y-1 = 3- 3x
y = -3x + 4
(c) Equation of a line has a slope -5/2 is given by
y - 1= (-5/2) (x-1)
y-1 = -5/2x + 5/2
y= -5/2x + 7/2
(d) The line parallel to y axis and passes through given point : x=1
"undefined" means the line is vertical.
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The radius of a circle is 12 miles. What is the length of an arc that subtends an angle of
4
5
radians?
Answers
Using the length formula we know that the length of the given arc is 30.144 miles.
What is an arc?In mathematics, an arc is a portion of the boundary of a circle or curve. It is sometimes referred to as an open curve.
The measurement around a circle that determines its edge is called the circumference, often known as the perimeter.
So, the formula to find the length of the arc is:
Length of an Arc = θ × r
Now, insert values and calculate as follows:
Length of an Arc = θ × r
Length of an Arc = 4π/5 × 12
Length of an Arc = 4π/5 × 12
Length of an Arc = 12.56/5 * 12
Length of an Arc = 2.512 * 12
Length of an Arc = 30.144
Therefore, using the length formula we know that the length of the given arc is 30.144 miles.
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Which bottle of shampoo is at the right price 12oz 2.59 16 oz 3.19
Answers
Answer:
16 oz is cheaper...
Step-by-step explanation:
Answer:
I would say the second one
Step-by-step explanation:
The list of accounts of Guardian Company contained the following information:
Accounts Amount $
Sales 750,000
Sales Returns and Allowances 20,000
Rent Expense 5,000
Purchases 600,000
Sales Discounts 7,000
Purchase Returns and Allowances 25,000
Cost of Goods Sold ?
Interest Revenue 15,000
Sales commission 15,000
Purchase Discounts 11,000
Interest Expense 10,000
Freight-out 2,000
Store Salaries Expense 50,000
Freight-in 19,000
Utilities Expense 28,000
Depreciation Expense 7,000
Dividend revenue 5,000
Beginning inventory 45,000
Rent Revenue 10,000
Ending inventory 55,000
Lawsuit defrayal expense 8000
Accumulated depreciation 15000
Instruction:
Use the above information to prepare a multiple-step income statement for the year ended
December 31, 2019. (Show the calculation of COGS)
Answers
Answer:
sorry I don't know the answer ,but I want to ask u something ,r u a accounting student if yes please comment.i am also a accounting student but on learning stage so I don't know the answer,