Answer:
the answer is simple 4
Step-by-step explanation:
10n4 simple just like 10 to the 4th power
If a city with a population of 52,000 doubles in size every 97 years, what will the population be 291 years from now?
Answer:
156,000
Step-by-step explanation:
291 divided by 97 is 3. 52,000 x 3 = 156,000.
Population will be 6 times of present population in 291 years.
What is the population of a city ?The number of people in the city at a particular time is called population of the city.
How to find the required population ?Present population of the city = 52000
According to the problem, Population doubles in size in every 97 years.
After 97 years, the population = Double of present population
= 2 × 52000 = 104000
Population in 97 years = 104000
Population in 1 year = [tex]\frac{104000}{97}[/tex]
So, population in 291 years = [tex]\frac{104000}{97}[/tex]× 291 = 104000×3 = 312000
Population in 291 years from now = [tex]\frac{312000}{52000}[/tex] = 6 times
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A hotel is building a large new aquarium for their lobby. They know the length from the top corner to the opposite bottom corner is 13 feet long, the height is 12 feet and the length is 4 feet. Solve for the width and then determine the volume in cubic feet of water it will take to fill the aquarium
Answer:
3 ft, 144 ft³Step-by-step explanation:
Find the width as below
l² + w² + h² = d², where l- length, w- width, h- height, d- the distance between top and bottom cornersSubstitute the values and solve for w
4² + w² + 12² = 13²w² + 160 = 169w² = 9w = 3 feetNow find the volume
V = lwhV = 4*3*12 = 144 ft³Answer:
width = 3ft
volume = 144 ft³
Step-by-step explanation:
Pythagoras Theorem
[tex]\sf a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
The diagonal of the base of the aquarium, its height, and the length from the top corner to the opposite bottom corner forms a right triangle. As we know two of the lengths, we can use Pythagoras Theorem to calculate the unknown length (diagonal of base).
Given:
a = height of aquarium = 12 ftb = diagonal of basec = top corner to opposite corner = 13 ft[tex]\implies \sf 12^2+b^2=13^2[/tex]
[tex]\implies \sf b=\sqrt{13^2-12^2}[/tex]
[tex]\implies \sf b=5[/tex]
Now we know the length of the diagonal of the base, we can again use Pythagoras Theorem to find the width of the aquarium.
Given:
a = length of aquarium = 4 ftb = width of aquarium c = diagonal of base = 5 ft[tex]\sf \implies 4^2+b^2=5^2[/tex]
[tex]\sf \implies b=\sqrt{5^2-4^2}[/tex]
[tex]\sf \implies b=3[/tex]
Therefore, the width of the aquarium is 3 ft.
As the aquarium is modeled as a rectangular prism:
[tex]\begin{aligned}\textsf{Volume of a rectangular prism} & = \sf width \times length \times height\\ \implies \textsf{Volume of aquarium} & = \sf 3\:ft \times 4\:ft \times 12\:ft\\& = \sf 144 \:\:ft^3\end{aligned}[/tex]
ABCD is a parallelogram with AB = 24 mm and BC = 48 mm. Find the lengths of CD and AD
Answer:
Step-by-step explanation:
What is the slope of the line that goes through the points (2,0( and (4,6)
Answer:
slope = 3x
Step-by-step explanation:
Equation is y = 3x - 6
3x is slope
Select all the correct triangles.
Which triangles in the coordinate plane are congruent to triangle A because they can be mapped onto it by a sequence of rigid transformations?
Answer:
triangle D and F
Step-by-step explanation:
triangle D and F are the same as A, just angled differently.
God bless! hope i helped someone, somehow.
Answer:
D,F
Step-by-step explanation:
2. a survey of 200 college graduates who have been working for at least three years found that 75 owned only mutual funds, 35 only stocks, and 90 owned both. a. what is the probability that an individual owns a stock
Using it's concept, it is found that there is a 0.625 = 62.5% probability that an individual owns a stock.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, out of 200 graduates, 35 + 90 = 125 of them own stocks, hence:
p = 125/200 = 0.625.
There is a 0.625 = 62.5% probability that an individual owns a stock.
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Find the area of the irregular figure.
Answer: 432 sq ft.
Step-by-step explanation: I decomposed the figure above into halves where the dotted line is drawn. I multiplied 25 x 10 to find the area of the rectangle on the right, pretending for now that it is a complete rectangle, which equals 250. Then, I subtracted 15 from 25, which equals 10, to find the length of the right triangle that’s missing to make the right half of the decomposed figure a rectangle. Then I multiplied 10 x 10, or 10 to the second power divided by 2 because 10 x 10 would be the formula to find a rectangle, and a right triangle is half of a rectangle so you would divide by 2. 10 x 10 divided by 2 because equals 50. 250 - 50 = 200. Next, you do the same thing for the other half of the irregular figure. I subtracted 4 from 25 to get 21. Then, I multiplied 21 x 16 divided by 2 which equals 168. Now, you multiply 25 x 16 which equals 400. 400 - 168 = 232. 200, the answer for the area of the other half of the decomposed figure, must be added to 232 to find your answer for the total area.
What is the cost of 10.0 gallons of gasoline priced at 1.449 per gallon?
Answer:
14.49
Step-by-step explanation:
thats all folks i don't know why though
Please help me with this
Answer:
Look at the photo.
Step-by-step explanation:
The formula is y=mx+b. So, for the first one you start at the coordinate (0, 2) and then move down 2 and right one.
For the second one you start at the coordinate (0, -2) and then move down two and move right one.
By finding the size of each exterior angle of a regular polygon with 24 sides, calculate the size of each interior angle of the polygon.
We can find the sum of the interior angles of a regular polygon using the formula : (n-2) x 180, where n is the number of sides.
We replaced in : (24-2) x 180 = 3960
So, all the interior angles in this polygon add up to 3960.
-> Each interior angle is equal to 3960 : 24 = 165.
FREE BRAINLIEST - EZ QUESTION: Write the equation of the parabola that has the vertex at point (−2,7) and passes through the point (−1,3).
Answer:
y = -4(x +2)² + 7
formula for parabola: y = a(x-h)² + k
Where (h, k) denotes the vertex
vertex: (-2, 7) point: (-1, 3)First find a:
3 = a(-1-(-2))² + 7a + 7 = 3a = -4Thus equation:
y = -4(x-(-2))² + 7y = -4(x +2)² + 7Answer:
y = -4x^2 - 16x - 9.
Step-by-step explanation:
The vertex form is:
y = a(x - b)^2 + c where a is a constant, and (b, c) is the vertex
So we have
y = a(x + 2)^2 + 7
When x = -1, y = 3 so:
3 = a(-1 + 2)^2 + 7
3 = a + 7
a = -4.
So the equation is
y = -4(x + 2)^2 + 7
y = -4x^2 - 16x -16 + 7
y = -4x^2 - 16x - 9.
A piece of of blue yarn is 5 3/10 yards long. A piece of pink yard is 4 times as long as the blue yard. How much longer is the pink yard than the blue yard.
If 100 grams of water evaporated into a gas, how much mass will the gas have?
Answer: 100 grams
Step-by-step explanation:
Mass remains constant. So 100 grams of water will be 100 grams of water vapor
Find the midpoint of the line segment with end coordinates of:
(-2,-4) and (-1,-5)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's use section formula ~
[tex]\qquad \sf \dashrightarrow \:x = \dfrac{mx_2 + nx_1}{m + n} [/tex]
[tex]\qquad \sf \dashrightarrow \:y = \dfrac{my_2 + ny_1}{m + n} [/tex]
And since mid point divides a line segment Into two equal parts, m : n = 1 : 1
so, take m = n = 1
[tex]\qquad \sf \dashrightarrow \:x = \dfrac{(1 \times - 1)+(1 \times - 2)}{ 1+ 1} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = \dfrac{- 1- 2}{ 2} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = \dfrac{ - 3}{ 2} [/tex]
Now, let's find y - coordinate ~
[tex]\qquad \sf \dashrightarrow \:y = \dfrac{(1 \times - 5) + (1 \times - 4)}{1 + 1} [/tex]
[tex]\qquad \sf \dashrightarrow \:y = \dfrac{ - 5 - 4}{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:y = \dfrac{ - 9}{2} [/tex]
So, coordinates of midpoint is ~
[tex]\qquad \sf \dashrightarrow \:( - \dfrac{3}{2} ,- \dfrac{9}{2} )[/tex]
Which correctly shows this equation
solved for w?
The equation solved for w is:
w = A/l
The correct option is A.
What is an equation?A pair of algebraic equations with the equal symbol (=) in the center and the same value are referred to as an equation.
Starting with the equation:
A/l = lw/l
We can simplify it by multiplying both sides by l:
A = lw
To solve for w, we need to isolate it on one side of the equation.
We can do this by dividing both sides by l:
A/l = w
Therefore, the required equation is A/l = w.
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Simplify the expression
Answer:
[tex]Hi, ~I'm ~beinggreat78,~ and~ am~ here~ to~ help~ you.[/tex]
The answer is D. Tanɵ. But why? Let's break it down. Tan pi + theta in the base equation should look like this...
[tex]\frac{tan\pi+ tanTheta}{1 - tan\pi * tanTheta}[/tex]
We now have to simplify this expression. Let's do that.
[tex]tan(\pi) = \frac{sin\pi }{cos\pi } = \frac{0}{-1} = 0[/tex]
Now that we have broken this problem into simpler fragments, we have to put it all together, The final equation should look like the one below!
[tex]tan(\pi + Theta) = \frac{0 + tanTheta}{1 - 0} = tanTheta[/tex]
With that information, we have solved the problem, your final answer is tanɵ
What have we learned?
We learned some knowledge on what simplifying expressions with complex mathematical terms looks like.At a local bodega, the cost of a bottle of juice at the corner store is
$1.05, and the cost of a bag of chips is $1.10. What would it cost to get
8 bottles of juice and 4 bags of chips? What would it cost to get a
bottles of juice and y bags of chips?
Total cost, 8 bottles of juice and 4 bags of chips:
Total cost, x bottles of juice and y bags of chips:
y
Answer:
$12.80
Step-by-step explanation:
The cost to get 8 bottles of juice and 4 bags of chips will be:
= 8($.105) + 4($1.10)
= $8.40 + $4.40
= $12.80
The cost for x bottles of juice and y bags of chips will be:
= (1.05 × x) + (1.10 × y)
= 1.05x + 1.10y
Answer number 16 please thank you
a .circle with diamter at (2,2) and (8,14
the equation of the circle with diameter at (2,2) and (8,14) is (x-5)^2 + (y - 8)^2 = 45
How to calculate the equation of a circle?A circle is a 2-dimensional shape with no edges.
The standard equation of a circle with centre (a, b) and radius "r" is given as:
(x-a)^2 + (y-b)^2 = r^2
Given the diameter of circle with coordinate (2,2) and (8,14), the diameter is expressed as:
D = √12² + 6²
D = √144+36
D = √180
For the radius
r = √180/2
r² = 180/4
r² = 45
Determine the centre (a, b)
(a, b) = (2+8/2 2+14/2)
(a, b) = (5, 8)
Substitute
(x-5)^2 + (y - 8)^2 = 45
Hence the equation of the circle with diameter at (2,2) and (8,14) is (x-5)^2 + (y - 8)^2 = 45
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Find the surface area of a rectangular prism that has the following dimensions.
length: 4.5 in.
width: 6 in.
height: 12 in.
surface area = in^2
The expression for the total surface area of rectangle was used, with all values rightly plugged in, the total surface area is 306 in^2
Surface area of SolidsGiven Data
Length = 4.5 inchWidth = 6 inchHeight = 12 inchWe know that the expression used in finding the surface area is given as
Surface area of rectangular prism =2(wl+hl+hw)
Substituting our given data into the formula we have
=2(6*4.5+12*4.5+12*6)
=2(27+54+72)
=2(153)
= 306 in^2
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Answer:
306
Step-by-step explanation:
I didn't know till I saw the other persons answer. Please give them branliest.
3 A fashion designer checks the price of a certain fabric. Manufacturer A charges $7.50 per yard. The graph shows the price that Manufacturer B charges. a. What is the initial value of each function? b. How much does 400 yd of fabric cost at each manufacturer? How much does 800 yd of fabric cost at each manufacturer? c. What can you conclude about the two functions? Explain. d. Manufacturer C offers the fabric for $5.50/yd but you have to buy at least 500 yd. What should the designer do if she needs 400 yd? Explain.
Answer: Price of 400 yd of fabric from Manufacturer A is = $7.50 X 400= $3,000. From given graph, we can observe that the charge for 800 yards of fabric is = $6,000
find two rational and irrational numbers between 2 and 2.5
Answer:
Rational:2.1,2.2
Irrational:[tex]\sqrt{5},\sqrt{6}[/tex]
Step-by-step explanation:
Trial and error
Devaughn is 7 years older than Sydney. The sum of their ages is 103. What is Sydney's age?
103-7 = 96 then 96/2 = 48 so we can say that Sydney is 48 and devaughn is 48+7 = 55 years old.
Therefore, Sydney is 48 years of age.
A cart weighing 200 pounds rests on an incline at an angle of 40 degrees. what is the required force to keep the cart at rest? round to the thousandths place
a) 128.558 pounds
b) 133.388 pounds
c) 149.023 pounds
d) 153.208 pounds
The force needed to keep the cart at rest is 149.022 pounds
Force and MotionGiven Data
Weight of cart = 200 poundsAngle = 40 degreeThe force needed to keep the cart at rest is the vertical component of the resultant force, hence we have
Fy = Mg sin θ
Substituting our given data we have
Fy = 200 sin 40
Fy = 200 *0.74511
Fy = 149.022 pounds
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Answer:
128.558
Step-by-step explanation:
help please i been stuck on this question for the last hour im on the verge of tears
Answer:
1/2
Step-by-step explanation:
It appears to be 1/2 because the areas labeled "parrots" and "sparrows" takes up half of the pie chart. hope this helped!
Answer: the answer is 1 over 2 as a fraction
Step-by-step explanation:
A chef needs to decorate cupcakes for a birthday party. If the chef places
2
strawberry slices on top of each cupcake, which inequality represents the possible number of cupcakes,
k
, the chef could decorate with
46
strawberry slices?
The possible number of cupcakes is less than or equal to 23
How to write inequality equation?let
k = possible number of cupcakesNumber of strawberry slices = 46Number if strawberry slices on each cupcake = 2The inequality:
2k ≤ 46
divide both sides by 2
k ≤ 46 / 2
k ≤ 23
Therefore, the possible number of cupcakes is less than or equal to 23
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If andre collects $9.80, how many cups did he sell?
Answer:
we need more information
PLEASE HELP
You will take a test containing two types of questions, multiple choice and free response. MC questions are worth 4 points each and free response are worth 7 points each. You must answer at least 4 of the MC and no more than 10 you must answer at least 3 FR questions, but no more than 10. Total, you may only answer 18 questions. How many type of each question must you answer to maximize your score.
Answer:
I think the answer is 16 to maximize the score
please help me asap....
Roberto is having his house painted. The job takes three days, and he pays the painter the same hourly rate everyday. The cost of the job is in the chart below.
Which of the following equations, where “h” represents hours worked and “p” the amount paid in dollars, represent an hourly pay rate that is Greater than the painter’s hourly rate?
Day 1: 5 hours worked; Paid $300
Day 2: 4 hours worked; Paid $240
Day 3: 6 hours worked; Paid $360
Choose all answers that apply:
A) P=6.5h
B) P=50h
C) P=65h
D) P=70h
Answer:
a is the answer
Step-by-step explanation:
