Answer:
.000104 km per year or .104 m per year
Step-by-step explanation:
divide 2600 by 25 million
Which property is shown below?
5 + 2y + 3z = 5+ 3z + 2y
A. Commutative Property of Addition
B. Additive Identity Property
C. Associative Property of Addition
D. Additive Inverse Property
Answer:
C
Step-by-step explanation:
5+2y+3z=5+3z+2yA
Intercambie los lados para que todos los términos de las variables estén en el lado izquierdo.
5+3z+2yA=5+2y+3z
Resta 5 en los dos lados.
3z+2yA=5+2y+3z−5
Resta 5 de 5 para obtener 0.
3z+2yA=2y+3z
Resta 3z en los dos lados.
2yA=2y+3z−3z
Combina 3z y −3z para obtener 0.
2yA=2y
Anula 2 en ambos lados.
yA=y
Divide los dos lados por y.
y
yA
=
y
y
Al dividir por y, se deshace la multiplicación por y.
A=
y
y
Divide y por y.
A=1
rango de y=5/(x^2-25)
Answer: x = -5, 5 y= 0
Step-by-step explanation:
vertical asymptotes = x= -5, 5
horizontal asymptotes = y= 0
How to convert from vertex to standard y=2(x-2)^2 -2 to standard
The quadratic equation in standard form is:
\(y = 2x^2 - 8x + 6\)
How to convert from vertex form to standard?
Here we have the quadratic equation:
\(y = 2*(x - 2)^2 - 2\)
Here we need to expand the right side, remember:
\((a + b)^2 = a^2 + 2ab + b^2\)
Using that, we get:
\(y = 2*(x - 2)^2 - 2 = 2*(x^2 - 4x + 4) - 2\\\\y = 2x^2 - 8x + 8 - 2\\\\y = 2x^2 - 8x + 6\)
This is the quadratic equation in standard form.
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Please help! Due tommrow!
Divide: 2/3 “ fraction “ divided by 3/4 “ fraction!
Express you’re answer in simplest form
Answer:
8/9
Step-by-step explanation:
find the Least Common denominator, then change the numerators as need. Divide, then simplify
Angelica’s bouquet of a dozen roses contains 5 white roses. The rest of the roses are pink. What fraction of the bouquet is pink roses? There are 12 roses in a dozen.
StartFraction 5 Over 12 EndFraction
StartFraction 7 Over 12 EndFraction
StartFraction 5 Over 7 EndFraction
StartFraction 7 Over 5 EndFraction
Answer:
b) 7 over 12 or (7/12)
Step-by-step explanation:
The number of white roses = 5
Therefore,
The number of pink roses= 12-5
= 7
So the fraction will be
Pink roses/ total roses
= 7/12
Answer:
7/12
Step-by-step explanation:
If there are 12 in total then it is the denominator. They are looking for the pink rose so if there is 5 white roses u subtract 12 by 5
Hope this explains it well
Last minute please help me out !!!
Find a polynomial expression in terms of x for the volume of the rectangular prism shown.
Answer:
V = 6x³ - 21x² - 12x
Step-by-step explanation:
Volume of a Rectangular Prism: V = lwh
Step 1: Define
l = 3x
w = x - 4
h = 2x + 1
Step 2: Substitute
V = 3x(x - 4)(2x + 1)
Step 3: Expand
V = 3x(2x² - 7x - 4)
V = 6x³ - 21x² - 12x
Answer:
6x to the power of 3 + x to the power of 2 - 4
The population of a city was 10,000 in 2010. The population increase at an annual rate of 2.5% per year. Is the growth model function that represents the population of the city linear?
Answer:
The growth model that represents the population of this city is not linear--it is exponential:
\(f(t) = 10000( {1.025}^{t} )\)
\(t = 0 \: represents \: 2010\)
in the following figure, the value of x is ____
Answer:
it should be 20 i hope it helps but im nt 100% sure
Step-by-step explanation:
Which number best represents the slope of the graphed line?
Y410
-10
10
10
Answer:
1/2
Step-by-step explanation:
I took the test and rise/run is being asked
19
Select the correct answer.
A developer buys an empty lot to build a small house. What is the area of the lot?
Area of the plot = 193 sq.yd. , Option B is the correct answer.
What is Area ?
Area is the space occupied by a flat surface or an object .
It is measured in square units
It has wide daily life importance like in the question mentioned , a plot will be measured in area of the space.
It is given that
A developer buys an empty lot to build a small house.
area of the lot = ?
The figure is incomplete and the complete figure is attached with the answer.
To determine the area the figure needs to be divided into triangles and rectangles as shown in the figure
Area of the first triangle = (1/2) * base * height
By Calculation
base = 17 unit and height = 10 unit
= (1/2) * 17 * 10
= 17*5
=85 sq.unit
Area of the second triangle = (1/2)* 9* 8
=36 sq. unit
Area of the rectangle = base * height
base = 9 unit and height = 7 unit
Area = 9*7= 63 sq.unit
Area of the last triangle = (1/2) * 2*9
= 9 unit
The area of the plot = 85+36+63+9
Area of the plot = 193 sq.yd.
Therefore , Option B is the correct answer.
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Answer:
Step-by-step explanation:
Area of the plot = 193 sq.yd. , Option B is the correct answer.
What is Area ?
Area is the space occupied by a flat surface or an object .
It is measured in square units
It has wide daily life importance like in the question mentioned , a plot will be measured in area of the space.
It is given that
A developer buys an empty lot to build a small house.
area of the lot = ?
The figure is incomplete and the complete figure is attached with the answer.
To determine the area the figure needs to be divided into triangles and rectangles as shown in the figure
Area of the first triangle = (1/2) * base * height
By Calculation
base = 17 unit and height = 10 unit
= (1/2) * 17 * 10
= 17*5
=85 sq.unit
Area of the second triangle = (1/2)* 9* 8
=36 sq. unit
Area of the rectangle = base * height
base = 9 unit and height = 7 unit
Area = 9*7= 63 sq.unit
Area of the last triangle = (1/2) * 2*9
= 9 unit
The area of the plot = 85+36+63+9
Area of the plot = 193 sq.yd.
Therefore , Option B is the correct answer.
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Explain how you can tell if the expressions
7x – 4 and 6x – 4 – x are equivalent using the interactive tool.
Answer:
the expression is 9)+9(12=21
Step-by-step explanation:
Answer:
commutative property: the property stating that changing the order in which two numbers are added or multiplied does not change the value of the sum or product
equivalent: having the same amount, value, area, volume, or force
evaluate: to determine the value of
like terms: terms consisting of the same variables, raised to the same exponent
Step-by-step explanation:
What is the area of the figure?
Answer:
졌던 냥 샷 세 새 새 휴 여ㅔ헤헤헤헤헤헤하리ㅎㄴ하왕허웋ㅇ헝후오ㅡ아ㅗ여ㅏㅕ라ㅕ라ㅗㅇ렁셔 요 쇽뎌ㅕ려래ㅛ요ㅓㅓㅛ요ㅏ다ㅛ 또훙서 유ㅓ가ㅗㅗ히ㅓ
ㅍ피ㅓ리ㅓ히ㅓㅓ히ㅗ챠ㅗㅗ료ㅡ쵸ㅏㅇ
Step-by-step explanation:
ㅇㅎ겨개ㅛ교ㅑ아ㅛ려ㅐㄹ서넣요ㅏㅗㅏ차ㅗ셔ㅏ 로 홀ㅛㅕㅑ쇼ㅑ겻효ㅕ 껴ㅛㅕㅛ교ㅑ교ㅐ료ㅏ래ㅕ새ㅕ리ㅕㅐㅕㅔㅑㅣㅕ셔ㅐ ㅕㅣ셔ㅐㄱㅕㅔ샹샹허텋요ㅑ오툐ㅏ어ㅣ래ㅕ촤쳐ㅐ료ㅑ와타ㅛ낳와탸ㅛ와촤야ㅛ 유ㅗㅡ촤우ㅗ퇴롸러ㅣ혀ㅣ라ㅛㅌ샤 ㅗㅣ래ㅛ려ㅣ랴ㅛ아ㅗ처ㅣ촤여ㅣ리ㅕㅓ쵸ㅐ려ㅣㅓㅓㅣ리ㅓㄹㅗㅏ려ㅣ려ㅣ려ㅣㅣㅕㅛㅑㅓㅛ나굣이셔서ㅣㅣ시서ㅣ서소니서서서성섯여ㅣ햐ㅔㅅ하ㅕㅓ퍄샤도ㅕㅐ요ㅏㅗ럇냐ㅛ려ㅔㅐㅈ서ㅕㅣ세ㅕ엿처억 ㅣㅕ려
Is it impossible, unlikely, likely, or certain that you will blink in the next two minutes?
Answer:
you would have to very good at not blinking to but if your not I suggest not to because it will hurt also why not try to test it out ;)
Step-by-step explanation:
Ellie, Mrs. Trost's youngest daughter, gained 0.6 pounds in 0.25 months.
What was Ellie's growth rate in pounds (lb) per month?
Ellie's growth rate is 2.4 pounds per month.
To find Ellie's growth rate in pounds per month, we divide the change in weight by the time period. Let's calculate it using the given information:
Determine the change in weight:
Change in weight = 0.6 pounds
Determine the time period:
Time period = 0.25 months
Calculate the growth rate:
Growth rate = Change in weight / Time period
Substituting the values:
Growth rate = 0.6 pounds / 0.25 months
To divide by a fraction, we multiply by its reciprocal:
Growth rate = 0.6 pounds * (1 / 0.25 months)
Simplifying the fraction:
Growth rate = 0.6 pounds * 4 months
Multiplying:
Growth rate = 2.4 pounds per month
Therefore, Ellie's growth rate is 2.4 pounds per month. This means that, on average, she gains 2.4 pounds every month.
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What’s the answer?????!
Answer:
0.58×0.90=0.522
Step-by-step explanation:
Im not really sure if it's right
Find The Sum or Difference
(-6x – 3) + (3x – 9)
Answer:
-3x -12
Step-by-step explanation:
-6x +3x = -3x
-3-9 = -12
Use the model below to calculate 9÷1/3.
A green rectangle is divided into 9 equal parts arranged into 3 rows of 3 cells each.
A.
9/3
B.
3/9
C.
13 1/2
D.
27
Using thie model ,The answer is D. 27.
To calculate 9÷1/3 using the model below, we can imagine dividing the green rectangle into thirds vertically. Each third would contain 3 cells.
Then, we can see that there are a total of 9 cells in the rectangle. Since we are dividing by 1/3, we need to find out how many sets of 1/3 are in 9.
We can see that there are 3 sets of 1/3 in each row (since each row contains 3 cells, which are thirds). So, in total, there are 3 rows of 3 sets of 1/3, which gives us:
9÷1/3 = 3 rows x 3 sets of 1/3 = 9 sets of 1/3 = 27
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In the figure below, find the exact value of x. (Do not approximate your answer.)
Triangle ADC also has a right angle at D, making it a right-angled triangle.
The exact value of x be 2.25.
What is meant by "Pythagoras Theorem"?The hypotenuse's square is equal to the sum of its two other side squares of a right-angled triangle, according to the Pythagoras theorem.
Triangle ADB exists even a right-angled triangle with right-angle at D.
Therefore, Base of Triangle ADB = BD = 4,
Height of Triangle ADB = AD = 3,
Hypotenuse of Triangle ADB = AB
Using the Pythagoras Theorem, we get,
\($\left[(A D)^2+(B D)^2\right]=(A B)^2$\)
substitute the values in the above equation, we get
or,\($(A B)^2=\left[(3)^2+(4)^2\right]$\)
simplifying the equation, we get
or, \($(A B)^2=[9+16]$\)
or, \($(A B)^2=25$\)
or, \($\sqrt{(A B)^2}=\sqrt{25}$\)
or, AB = 25
Triangle ADC is also a right-angled triangle with right-angle at D.
Therefore, Base of Triangle ADC = DC = x
Height of Triangle ADC = AD = 3,
And, Hypotenuse of Triangle ADC = AC
Using the Pythagoras Theorem, we get,
\(& {\left[(D C)^2+(A D)^2\right]=(A C)^2} \\\)
simplifying the equation, we get
\(& \text { or },(A C)^2=\left[(3)^2+(x)^2\right] \\\)
\(& \text { or },(A C)^2=\left[9+x^2\right]\)
Triangle ABC is also a right-angled triangle with right-angle at A. Therefore, Base of Triangle ABC = AC,
Height of Triangle ABC = AB = 5,
And, Hypotenuse of Triangle ABC = BC = (4 + x)
Using the Pythagoras Theorem, we get,
\(& {\left[(A C)^2+(A B)^2\right]=(B C)^2} \\\)
\(& \text { or, }(B C)^2=\left[(A C)^2+(A B)^2\right] \\\)
substitute the values in the above equation, we get
\(& \text { or, }(4+x)^2=\left[\left(9+x^2\right)+(5)^2\right] \\\)
simplifying the equation, we get
\(& \text { or, }\left[4^2+(2 \times 4 \times x)+x^2\right]=\left[9+x^2+25\right] \\\)
\(& \text { or, }\left[16+8 x+x^2\right]=\left[(9+25)+x^2\right] \\\)
\(& \text { or, }\left[16+8 x+x^2\right]=\left[34+x^2\right] \\\)
\(& \text { or, }\left[16+8 x+x^2\right]-\left[34+x^2\right]=0 \\\)
\(& \text { or, },(16-34)+8 x+\left(x^2-x^2\right)=0 \\\)
8x - 18 = 0
8x = 18
\(& \text { or, } x=\frac{18}{8} \\\)
\(& \text { or, } x=\frac{9 \times 2}{4 \times 2} \\\)
\(& \text { or, } x=\frac{9}{4} \\\)
Therefore, the value of x be 2.25.
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On a number line, point C is at 8, and the midpoint E of CD is at -3.
Point D is at
on the number line.
Answer: C
Step-by-step explanation:
Point D is at -14 on the number line.
How to determine the midpoint of a line segment?In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).
Since E is the midpoint of line segment CD, we can logically deduce the following relationship:
Line segment CD = Line segment C + Line segment D
Midpoint E = (point C + point D)/2
By substituting the given points into the equation above, we have the following:
-3 = (8 + D)/2
-6 = 8 + D
D = -6 - 8
D = -14
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Please help I’ll mark you as brainliest if correct!!
A puzzle, defined as "anything which baffles or perplexes," refers to an enigma or a conundrum that requires creative thinking to solve.
The answer is A = 7.
How to find A?A puzzle, defined as "anything which puzzles or perplexes," refers to a riddle or issue that defies creativity to be solved.
Retaining mental quickness and short-term memory while working on a puzzle strengthens connections between brain cells.
Dopamine, a neurotransmitter that controls mood, memory, and focus, is produced more readily as a result of solving puzzles.
Every time we complete the puzzle, dopamine is produced.
Given the puzzle condition,
The sum of any 3 consecutive digits must be 17.
Given numbers 8, 2
So the third number would be 8 + 2 + A = 17
10 + A = 17
Therefore A is 17-10 = 7
A = 7
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In the right △ABC with m∠C=90°, m∠B=75°, and AB=12 cm. Find the area of △ABC.
Don't use trig to solve, don't know how to.
The area of the right triangle is 18.02 cm².
How to find area of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees.
The sum of angles in a triangle is 180 degrees.
Therefore, let's find the area of the right angle triangle as follows;
let's find the height and base of the triangle.
using trigonometric ratios,
cos 75 = adjacent / hypotenuse
cos 75 = base / 12
base = 3.10582854123
Therefore,
sin 75 = opposite / hypotenuse
sin 75 = h / 12
height = 11.5911099155
height = 11.59
Therefore,
area of the triangle = 1 / 2 × 3.11 × 11.59
area of the triangle = 36.0483518371 / 2
area of the triangle = 18.0241759186
area of the triangle = 18.02 cm²
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Isabel will only consume chocolate bars and glasses of milk in a ratio of 3-to-1, meaning whenever she has 3 chocolate bars, she also has 1 glass of milk. 2nd attempt Isabel currently has 6 chocolate bars and 2 glasses of milk. Determine whether the bundles shown below would be equally preferred, more preferred, or less preferred than what Isabel currently has. Items (5 items) (Drag and drop into the appropriate area below) More Preferred Less Preferred Equally Preferred (9 chocolate bars, 1 glass of milk) (6 chocolate bars, 3 glasses of milk) (9 chocolate bars, 3 glasses of milk) (3 chocolate bars, 2 glasses of milk) (9 chocolate bars, 2 glasses of milk)
The ratio of chocolate bars More Preferred: (9 chocolate bars, 3 glasses of milk); Equally Preferred: (6 chocolate bars, 3 glasses of milk); Less Preferred: (3 chocolate bars, 2 glasses of milk) and (9 chocolate bars, 2 glasses of milk).
The ratio of chocolate bars to glasses of milk that Isabel consumes is 3-to-1. This means that whenever she has 3 chocolate bars, she also has 1 glass of milk. Currently, Isabel has 6 chocolate bars and 2 glasses of milk. The bundles listed above are compared to Isabel's current consumption. Out of the five bundles, the one with 9 chocolate bars and 3 glasses of milk is more preferred than what Isabel currently has because it has more of the ratio than Isabel's current consumption. The bundle with 6 chocolate bars and 3 glasses of milk is equally preferred because it holds the same ratio as Isabel's current consumption. The bundles with 3 chocolate bars and 2 glasses of milk and 9 chocolate bars and 2 glasses of milk are less preferred because they both have less of the ratio than Isabel's current consumption.
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Which algebraic expression is equivalent to the expression below?
3(5x + 7)-6(4- 2x)
3(5x+7)-6(4-2x) - given
15x+21-24+12x - distributive property
27x-3 - combine like terms
What is the value of log2 18 rounded to the nearest hundredth?
Answer: 4,170
Step-by-step explanation:
\(\displaystyle\ \Large \boldsymbol{} log_2 18=log_2 \ 2+log_2 \ 9=1+3,16\underline99 \approax \approx4,170\)
Quadrilateral ABCD is a parallelogram with < BCA= 50 , < DCA=60, find value of
Answer:
\(ADC = 70\)
Step-by-step explanation:
Given
\(BCA = 50\)
\(DCA = 60\)
See attachment for parallelogram and complete question
Required
Find ADC
From the attachment:
\(BCD = BCA + DCA\)
\(BCD = 50+60\)
\(BCD = 110\)
Adjacent angles add up to 180.
So:
\(ADC + BCD = 180\)
\(ADC = 180-BCD\)
\(ADC = 180-110\)
\(ADC = 70\)
Can someone pls explain
163. The distance between A(-5, 6) and B(5, -5) is: AB ≈ 14.9 units
164. Applying the Pythagorean theorem, we have: Diagonal ≈ 21.2 ft.
165. Marissa's final answer is wrong. It should be, c = √676 = 26 units.
166. Missing side = 29 ft.
What is the Pythagorean Theorem?The Pythagorean theorem states that c² = a² + b², given that a and b are shorter legs and c is the hypotenuse or longest leg of the right triangle.
163. The distance between A(-5, 6) and B(5, -5):
AB = √[(5−(−5))² + (−5−6)²]
AB = √221
AB ≈ 14.9 units
164. Apply the Pythagorean theorem to find the diagonal:
Diagonal = √(15² + 15²) ≈ 21.2 ft.
165. The answer Marissa got is wrong. The final answer which is the square root of 676 is:
c = √676 = 26 units.
166. Missing side = √(20² + 21²) = 29 ft.
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One model of Earth's population growth is P(t)= 64/(1+11e^0.8t)
where t is
measured in years since 1990, and P is measured in billions of people. Which
of the following statements are true?
Check all that apply.
A. In 1991, there were 5.74 billion people, according to this model.
B. The population of Earth will grow exponentially for a while but then start to decrease.
C. The population of Earth is growing at a rate of just under 8% per year.
D. The carrying capacity of Earth is 64 billion people.
Answer:
A. In 1991, there were 5.74 billion people
D. The carrying capacity of Earth is 64 billion people
Step-by-step explanation:
A. In 1991, there were 5.74 billion people
D. The carrying capacity of Earth is 64 billion people
The total population in 1991 were 5.74 billion and the population grow exponentially but then start decreasing so option (A) and (B) both will correct.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
Given that the expression P(t)= 64/(1+11\(e^{0.8}\)t)
if you put t =1 for the year 1991 then it comes out to be around 5.74 billion.
And if you look at the nature of this graph then it will grow exponentially for a while but then start to decrease.
Hence A and B both will be correct.
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Which function has the same range as f (x) = negative 2 StartRoot x minus 3 EndRoot + 8?
g(x) = -2√x + 8 is the function that has the same range as f(x) = -2√(x - 3) + 8. Both functions have the range of y ≤ 8
The function that has the same range as f(x) = -2√(x - 3) + 8 is g(x) = -2√x + 8. Both functions have the range of y ≤ 8.There are a few steps involved in determining which function has the same range as f(x) = -2√(x - 3) + 8. The range of a function refers to all the possible output values that the function can produce.Let's begin by examining the original function:f(x) = -2√(x - 3) + 8The square root symbol (√) implies that x-3 must be greater than or equal to 0. If x-3 is negative, then the function would produce an imaginary result.
Let's solve for x when f(x) = 0:0 = -2√(x - 3) + 8-8 = -2√(x - 3)4 = √(x - 3)16 = x - 3x = 19This tells us that the x-value that produces an output of 0 is x = 19. To determine the range, we need to find the maximum and minimum output values. We can use a graphing calculator or sketch a graph to determine the shape of the function and the range.The shape of the function suggests that the range is y ≤ 8, which means that the maximum value of the function is 8. This tells us that any function with the same maximum output value of 8 will have the same range as f(x).
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find the gcf for list of terms 10x³y⁵,-15x⁴y⁸,20x⁵y⁶
Answer:
i might need to right this down
Step-by-step explanation:
100 decreased by 50% and 150% decreased by 60% percent
Which is greater?
Step-by-step explanation:
100% = 100
50% = 100%/2 = 100/2 = 50
100 - 50% = 100 - 50 = 50
100% = 150
10% = 100%/10 = 150/10 = 15
60% = 6×10% = 6×15 = 90
150 - 60% = 150 - 90 = 60
60 is greater than 50.
so, the second one is greater.