Answer:
The first option
67475
Step-by-step explanation:
Step one:
Given data
The population in Smalltown in 2010 was 45,230
rate= 2%= 0.02
time t= 20 years
Step two:
Let P(t) = population t years after 2010
= 45230e^0.02t
Population in 2030 = P(20)
= 45230e^0.02t(20)
= 45230e^0.4
≈ 67475
Answer:
A
Step-by-step explanation:
Just adding in from the previous answer too, bc I thought it would be wrong but it wasn't
Item 19 A sports store donates basketballs and soccer balls to the boys and girls club. The ratio of basketballs to soccer balls is 7 : 6. The store donates 24 soccer balls. How many basketballs does the store donate? The store donates basketballs. Item 19 A sports store donates basketballs and soccer balls to the boys and girls club. The ratio of basketballs to soccer balls is 7 : 6. The store donates 24 soccer balls. How many basketballs does the store donate? The store donates basketballs.
Answer:
28 soccer balls.
Step-by-step explanation:
Let there are 7x basketball and 6x soccer balls.
A sports store donates basketballs and soccer balls to the boys and girls club.
The store donates 24 soccer balls.
It means,
6x = 24
x = 4
No of basketballs = 7x
= 7(4)
= 28
Hence, the store denote 28 soccer balls.
When Ramon looked out at the school parking lot, he noticed that for every 3 minivans, there were 7 other types of vehicles. If there are a total of 150 vehicles in the parking lot, how many of them are minivans?
Answer:
Step-by-step explanation:
If there were 3 vans for every 7 cars, then there were 3 vans for every 10 of the total in the lot. Use a proportion to solve this:
[tex]\frac{vans}{total}:\frac{3}{10}=\frac{x}{150}[/tex] and cross multiply to get
10x = 450
so x = 45
There are 45 vans in the lot.
Write an
explicit formula for the sequence 6,2,-2,-6-10, ... Then find the 1st term.
Answer:
Step-by-step explanation:6232821
16 pearls/20opals = 8pearls/ blank opals complete each equivalent ratio
Answer:
10
Step-by-step explanation:
16/20=8/10
16/2=8
20/2=10
16 pearls/20opals=8perals/10opals
Identify the constant of proportionality.
Answer:
14
Step-by-step explanation:
If you divide -28 and -2, you get 14 which is the constant of proportionality. You can try to multiply -4 and 14 to check which you get -56. The graph shows that and it's the correct answer!
I really need help :(
Find the slope between the following two points: (3, 1), (5, 4).
Answer:
3/2
Step-by-step explanation:
Answer:
3/2
Step-by-step explanation:
Will mark brainliest for whoever answers
Answer:
a; r=1 is the answer
Step-by-step explanation:
Answer:
c).r=1
Step-by-step explanation:
hope this help
pick me as the brainliest
rob is asked to graph this system of equations: 6x + 2y = 5; y + 3x =2; how many times will the lines intersect? A. there is no way to tell without graphing the lines first. B. the lines will not intersect, cuz the system only has one system. C. the lines will intersect once. D. the lines will intersect more than once.
Answer:
C
Step-by-step explanation:
A and B are wrong and with D they wouldn't be lines so imma go with C.
Sorry if it's wrong.
4. Find the slope of the line
that passes through the two points.
(2.8) (10,2)
Answer:
-3/4
Step-by-step explanation:
y2-y1/x2-x1
2-8/10-2
-6/8
-3/4
WILL GIVE BRAINLIESt:
Given: ∆ABC, AC = 5
m∠C = 90°
m∠A = 22°
Find: Perimeter of ∆ABC
Perimeter of ΔABC is 12.41 units.
From the picture attached,
ΔABC is a right trianglem(AC) = 5 unitsm(∠C) = 90°m∠A = 22°Since, cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] and sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
For angle A,
Adjacent side = AC = 5 units
Opposite side = BC
and Hypotenuse = AB
By substituting the values in the cosine ratio,
cos(22°) = [tex]\frac{5}{AB}[/tex]
AB = [tex]\frac{5}{\text{cos}(22^{\circ})}[/tex]
= 5.39
Since, sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(22°) = [tex]\frac{BC}{5.39}[/tex]
BC = 5.39[sin(22°)]
= 2.02
Since perimeter of the given triangle ABC = AB + BC + AC
By substituting the measures of all sides in the expression of the perimeter,
Perimeter = 5.39 + 2.02 + 5
= 12.41 units.
Therefore, perimeter of the given triangle is 12.41 units.
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At the market, Meyer buys a bunch of bananas for $0.65 per pound and a frozen pizza for $4.99. The total for his purchase was $6.94, without tax. How many pounds of bananas did Meyer buy?
Answer:
Well, 6.94 - 4.99 = 1.95 also that divided by 0.65 = 3 So it is 3 pounds of bananas
Step-by-step explanation:
P.S can I have brainliest?
Deon had $25. Then he spent $15 on lunch. What percentage of his money did Deon spend on lunch?
Answer:
Deon spent 60% of his money on lunch.
Step-by-step explanation:
Determine whether the table of values below represents a linear function. If it represents a linear function, write the function. If it does not represent a linear function, explain why not.
Answer:
The equation of a linear function is:
[tex]y = 2x+4[/tex]Step-by-step explanation:
Given the table
x y
-10 -16
-3 -2
1 6
2 8
Determining the slope between the points (-10, -16), (-3, -2)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-10,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-3,\:-2\right)[/tex]
[tex]m=\frac{-2-\left(-16\right)}{-3-\left(-10\right)}[/tex]
[tex]m=2[/tex]
Determining the slope between the points (-3, -2), (1, 6)
[tex]m=\frac{6-\left(-2\right)}{1-\left(-3\right)}[/tex]
[tex]m=2[/tex]
Determining the slope between the points (1, 6),(2, 8)
[tex]m=\frac{8-6}{2-1}[/tex]
[tex]m = 2[/tex]
As the slope between the points is the same. Thus, the table represents the linear function.
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = 2 and any point let say (1, 6)
[tex]y - 6 = 2(x-1)[/tex]
[tex]y-6 = 2x-2[/tex]
[tex]y = 2x-2+6[/tex]
[tex]y = 2x+4[/tex]
Therefore, the equation of a linear function is:
[tex]y = 2x+4[/tex]4 Sheila buys 200 shares of stock at $18.25 per share and sells them at $32.50 per
share.
Her total profit is
Answer:
Step-by-step explanation:
If Sheila buys
200 shares for 18.25
200*18.25==3650
she sells them for
200*32.50=6500
her profit is
6500-3650=2850.00
another way to solve this would be
32.50-18.25=14.25
14.25*200=2850
Please answer the question below
the answer is c which is the number 12
If f (x)=3^5-x + 6, what is the value of f (5), to the nearest tenth?
Answer:
240
Step-by-step explanation:
3^5 - 5 + 6
243 - 5 = 238+6= 244
240?
Mia's soccer coach told her to keep track of how much water she drinks. Yesterday she drank 18 ounces with breakfast, 21 ounces with lunch, and 19 ounces with dinner. She also finished 2 full 12-ounce bottles of water during soccer practice. >) Mia works out that she drank 82 ounces of water in total. Does that sound about right?
plsssssss help 5/6 x 7/8
√ 25 –2√3 + √27 +2√ 9 Express in simplified radical
Answer:
The expression in simplified radical form is:
√ 25 –2√3 + √27 +2√ 9 = 11 + √3
Step-by-step explanation:
Given the expression
√ 25 –2√3 + √27 +2√ 9
as
√ 25 = 5
√27 = 3√3
2√9 = 6
so the expression becomes
√ 25 –2√3 + √27 +2√ 9
= 5 - 2√3 + 3√3 + 6
= 11 + √3
Thus, the expression in simplified radical form is:
√ 25 –2√3 + √27 +2√ 9 = 11 + √3
An earthquake wave travels through 55 km of rock in 25 seconds . Which equation represents the relationship between t, the number of seconds, and d, the total distance the wave travels?
Answer:
2.2 m/s
Step-by-step explanation:
Step one
Given data
An earthquake wave travels through 55 km
hence distance = 55 km
time taken = 25 seconds
Required
the expression relating t and d
Step two:
we know that velocity is
Speed= distance/time
speed= 55/25
Speed= 2.2 m/s
Given A = P + PRT, Solve for T
Answer:
C. T = (A - P) / (PR)
Step-by-step explanation:
A = P + PRT
A - P = PRT
(A - P) / (PR) = T
Grandma Gertrude gave 131313 pieces of jewelry and Grandma Fien gave yyy pieces of jewelry to the Carlson sisters to divide evenly among themselves. There are 555 Carlson sisters. How many pieces of jewelry did each sister receive?
Answer: (13 + y) / 5
Step-by-step explanation:
Since Grandma Gertrude gave 13 pieces of jewelry and Grandma Fien gave y pieces of jewelry to the Carlson sisters, the total jewellery given to the sisters will be:
= 13 + y
Since there are 5 Carlson sisters, the number of pieces of jewelry that each sister receive will be:
= Total jewelries / Number of sisters
= (13 + y) / 5
Answer:Grandma Gertrude gave 131313 pieces of jewelry and Grandma Fien gave yyy pieces, so the sisters received a total of 13+y13+y13, plus, y pieces of jewelry.
The sisters divided the 13+y13+y13, plus, y pieces of jewelry evenly among themselves, and there were 555 sisters. So each sister received \dfrac{13+y}{5}
5
13+y
start fraction, 13, plus, y, divided by, 5, end fraction pieces of jewelry.
Each sister received \dfrac{13+y}{5}
5
13+y
start fraction, 13, plus, y, divided by, 5, end fraction pieces of jewelry.
x⁴+x²+1+x⁴64445555555555555555
Answer:
2x⁴ + x² + 64445555555555555556
Help me please:(for brainiest:(
Answer:
The first equation is -8y
The second equation is -16.2h
Step-by-step explanation:
Hope that helps you out! :)
Divide up the number 72 in a 2:3:4 ratio.
pls
no trolling last one was trolling i think
Answer:
16:24:32
Step-by-step explanation:
So you add all the 2+3+4 and you’ll get 9
Now divide 72/9, you’ll get 8
now multiply 8 on all the ratios
2*8=16
3*8=24
4*8=32
now put them together
16:24:32
Answer:16:24:32
Step-by-step explanation:
(26+5)•2-15
Please show with step
Answer:
47
Step-by-step explanation:
(26+5) • 2-15
Follow Pemdas
P.E.M.D.A.S
Parenthesis first
31•2-15
Multiplication next
62-15
47
solve the following equation: 8x^2 = 2x
Answer:
x = 0, x = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Given
8x² = 2x ( subtract 2x from both sides )
8x² - 2x = 0 ( factor out 2x from each term )
2x(4x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
2x = 0 ⇒ x = 0
4x - 1 = 0 ⇒ 4x = 1 ⇒ x = [tex]\frac{1}{4}[/tex]
5th question
answer Plss
Answer:
no
Step-by-step explanation:
57 isnt a prime number
help please!
Does mapping the triangle DEF onto triangle GHI prove the two triangles are congruent? Explain your reasoning.
Yes, and there are actually several methods to do so. One method to ensure congruency is to rotate and translate the triangle onto the other, which does not change the shape or size, only where it is. They perfectly match each other when rotated and translated, showing perfect congruency. Another way to ensure congruency is to find angle lengths/slope. Using the slope formula (rise/run), we can find both slopes (whch is the distance in this case) of each side length of both triangles. The angle lengths and slopes are equal to each other.
Mapping the triangle DEF onto triangle GHI gives the coinciding image so the length will be the same and thus it can prove congruency.
What is congruence?If two figures are exactly the same in sense of their length side all things then they will be congruent.
If it is possible to superimpose one geometric figure on the other so that their entire surface coincides.
As per the given graph,
Triangle GHI and triangle DEF are plotted.
If we map triangle DEF onto GHI since the length is the same and orientation will become the same so both triangles will coincide with each other.
And it is known that if the length of all sides of a triangle is the same then they will be called a congruent triangle.
Hence"Mapping the triangle DEF onto triangle GHI gives the coinciding image so the length will be the same and thus it can prove congruency".
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