Answer:
The population would be 1 million in 2024.
Step-by-step explanation:
In order to find the answer you can use the population growth formula:
A= P*e^rt
A=Population after time=1,000,000
P= Starting population=705,000
e= Euler number that is equal to 2.718
r= rate of growth=0.0151
t= time
Now, you can replace the values on the formula and solve for t:
1,000,000 = 705,000*e^0.0151t
1,000,000/705,000 = e^0.0151t
ln(1,000/705) = ln(e^0.0151t)
ln(1000/705) = 0.0151t
t = [ln(1000/705)]/0.0151
t = 23.14 years
According to this, the answer is that the population would be 1 million in 2024.
Q7: Subtract
(a) -6x – 3 from 2x – 5,
(b) 6x – y + 5z from 10x – 2y + z,
(c) 8p + 99 – 5rs from 4p – 49 + 15sr,
(d) 8a – 3b + 50 – 4d from 10a – b - 40 - 8d.
Given right triangle HJK, which of the
following ratios is equivalent to cosH?
Answer:
cosH = JH/KH
Step-by-step explanation:
coa refers to base by hypotenuse
for H,
the base is JH and the hypotenuse is KH.
In the given right angled triangle cos H is equivalent to sin K
What is right angled triangle?A triangle in which one of the interior angles is 90° is called a right triangle
Here,
Cos H = Adjacent side / Hypotenuse = [tex]\frac{JH}{KH}[/tex]
In the given option
sin K = Opposite side / Hypotenuse[tex]=\frac{JH}{KH}[/tex]
Therefore Cos H is equivalent to the sin K
Hence, sin K is equivalent to the cos H
Learn more about right angled triangle here
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*ANSWER ASAP* Earth has a diameter of approximately 7926 miles. Determine the volume of Earth.
Answer:
Rounding to the nearest whole number, 49 moons can fit in the earth.
Rounding to the tenth place, 50 moons can fit in the earth.
Step-by-step explanation:
To find how approximately how many moons could fit inside the earth, you would need yo find the volumes the earth and the moon.
V = 4/3 π r^3
Earth:
d = 2r
d = 7926 miles
7926 = 2r
3963 miles = r
V = 4/3 π (3963)^3
V = 4/3 π (62240377347)
V = 82987169796π cubic miles
Moon:
d = 2r
d = 2159 miles
2159 = 2r
1079.5 miles = r
V = 4/3 π (1079.5)^3
V = 4/3 π (1257963209.88)
V = 1677284279.83π cubic miles
Now you divide the volume of earth by the volume of moon to find how many moons can fit in earth
82987169796π ÷ 1677284279.83π =
approx 49
helppp
What is the equation of the line that passes through the point (-4,4) and has a
slope of 3/4 ?
Answer:
y = 3/4x + 7
Step-by-step explanation:
Put it in point-slope form:
y - 4 = 3/4(x - -4)
y - 4 = 3/4(x + 4)
y - 4 =3/4x + 3
y = 3/4x + 7
(-8,-2);m=3/4 in point slope form
Answer:
y + 2 = ³/₄(x + 8)Step-by-step explanation:
The point-slope form of the equation that describes the line with a slope of m and containing the point (x₀, y₀) is: y - y₀ = m(x - x₀)
m = ³/₄
(-8, -2) ⇒ x₀ = -8, y₀ = -2
Therefore:
y - (-2) = ³/₄(x - (-8))
y + 2 = ³/₄(x + 8)
Could someone pleaseeeeee help on this giving brainest!!!!
Joy and Joey share a 18-ounce bucket of clay. By the end of the week, Joy has used
1
6
of the bucket, and Joey has used
2
3
of the bucket of clay. How many ounces are left in the bucket?
What are the coordinates of each point after quadrilateral EFGH is translated 3 units right and 2 units down? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all.
Answer:
E'(-2, -3), F'(-1, -5), G'(1, -5) and H'(2, -3).
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
If a point A(x, y) is translated a units right and b units down, the new location of the point is at A'(x + a, y - b)
The location of the vertices of quadrilateral EFGH is E(-5, -1), F(-4, -3), G(-2, -3) and H(-1, -1). If quadrilateral EFGH is translated 3 units right and 2 units down, the new location would be:
E'(-2, -3), F'(-1, -5), G'(1, -5) and H'(2, -3).
Logan collected pledges for the charity walk-a-thon. He is receiving total contributions of $65 plus $20 for every mile he walks. How many miles will Logan need to walk in order to receive $325?
Answer:
Number of miles= 13
Step-by-step explanation:
Giving the following information:
He is receiving total contributions of $65 plus $20 for every mile he walks.
To calculate the number of miles to reach $325, we need to use the following formula:
Total collection= fixed contribution + variable contribution per mile*number of miles
325= 65 + 20*number of miles
260/20 = number of miles
number of miles= 13
Find the probability of drawing a Club 2 through 6 on the first draw, replacing it and
drawing a black card on the second draw.
Answer:
= 0.0471 or 4.71%
Step-by-step explanation:
(5/52) x (25/51)
= 0.04713423831
A swimming pool is treated periodically to control harmful bacteria growth.
The concentration of bacterial per cm³ after t days is given by
C(t)
[tex] = 30t^2 -240t + 500 [/tex]
in how many days after a treatment will be concentration be minimal ?
Answer:
The answer is 4
Step-by-step explanation:
[tex]c \: (t) = {30ft}^{2} = - 240t + 500[/tex]
For a quadratic function as given to find the minimum you need to write it in vertex or find the vertex (the vertex in a quadratic function is thr maximum or minimum).
Use the next formula to find the t coordinate of the vertex (the time in the minimum concentration of bateria):
[tex]c \: (t) = {at}^{2} + bt + c \\ \\ tm = - \frac{b}{2a} [/tex]
For the given function:
[tex]tm = - \frac{ - 240}{(2)30} = \frac{240}{60} = 4[/tex]
The minimum concentration of bacteria will be after 4 days.
Anyone know the answer to this
Answer:
The answer is B
Step-by-step explanation:
3/4
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30 = 6y
A)y= 5
B)y = 6
C)y = 180
D)y = 10
Answer:
A) y = 5
Step-by-step explanation:
30 / 6 = 5
y = 5
Hope this helps! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
At an ice cream social, 56 people ordered chocolate ice cream while 32 people ordered vanilla
ice cream.
(a) What is the ratio of the number of people
who ordered chocolate to the number of
people who ordered vanilla in simplest
terms?
(b) At a different event, 42 people bought
chocolate and 30 bought vanilla. Does
this event have the same
chocolate to vanilla purchases as the ice
cream social from (a)? Justify.
ratio of
Help me out , I’ll appreciate it !
Answer:
(a) Infinite
(b) 6 (because a to z contains 26 letters so we can only take 26 letters or less otherwise the letter can be repeated so we have to take the num which is coming in table of 4 so 24then we can make 6passwords)
THANK you
If you helped with my answer pls tag me brianliest....
Work out
55
% of
2900
Ben earned $ 400 mowing lawns this month. Of his earnings, he plans to spend 18% repairing
lawn equipment, deposit 20% in his savings, and use 35% for clothes. He will spend the rest.
How much will Ben have left to spend Show your work. help ill mark brainlessly
Answer:
K 110
Step-by-step explanation:
Find the amount to be spent for each item/service
18% of $400= $72
20% of $400= $80
35% of $400= $140
Now, add all his expenditures and subtract it from his income
$400 - ($72+$80+$140) = $400 - $290 = $110
Find the LARGEST of three consecutive numbers if their sum is 105
Answer:
36
Step-by-step explanation:
devide 105 by 3 then add one 34+35+36=105
Answer:
It's 37 because the three are 33, 35, and 37. 37 is the largest of all of them.
Step-by-step explanation:
105/3 = 35, therefore the middle number is 35, and the 3 numbers are 33, 35, and 37.
What is the area of this shape hurry
Answer:
15 units squared
Step-by-step explanation:
sorry if im wrong
Answer:
12
Step-by-step explanation:
Area of triangle + area of square + area of triangle = total area
(Area of a triangle: A = 1/2bh)
(Area of a square: A = bh)
Area of smallest triangle =
A = 1/2 (2) (2) = 2
Area of largest triangle=
A = 1/2 (2) (6) = 6
Area of the square =
A = 2 x 2 = 4
Total shape:
2 + 4 + 6 = 12
POSSIBLE POINTS: 5 Jason wants to buy a car. He has $2500 in his savings account. He also needs to pay $600 for insurance. How much can Jason spend on a car?
Answer:
1900
Step-by-step explanation:
Jason wants to buy a car
He has $2500 in his savings account
He also needs $600 to pay for insurance
Therefore the amount he can pay for the car can be calculated as follows
= 2500-600
= 1900
Parallelogram ABCD is a rectangle. What are the slopes of the sides that make this quadrilateral a rectangle?
-1/2 and 2
-2 and 1/2
.3 and 1/3
-1/3 and 3
Answer: -3 and 1/3
Step-by-step explanation:
There’s your answer
What is the volume of the shaded solid? Round to the nearest tenth of a cubic unit. 11.6 units3 45.4 units3 57.0 units3 68.6 units3
Answer:
45.44units^3
Step-by-step explanation:
Volume of the shaded part = Volume of the triangular based prism - Volume of square based prism
Volume of prism = Base area * Height
Volume of the triangular based prism = (5 * 4 * 5.7)/2
Volume of the triangular based prism = 57units^3
Volume of square based prism = 1.7* 1.7 * 4
Volume of square based prism = 11.56units^3
Taking the difference
Volume of the shaded solid = 57 - 11.56
Volume of the shaded solid = 45.44units^3
Answer:
B
Step-by-step explanation:
What is x if
f(x) = -2?
Answer:
The answer is 2 or 2x
Step-by-step explanation:
Hope this helps!!
Help me please I don’t have a lot of time please.
Jenna wants to wrap a shipping box shaped like a rectangular prism. The box is 22 inches tall and has a square base with sides that each measure 3 inches. How much paper will she use?
Answer: [tex]282\ in.^2[/tex]
Step-by-step explanation:
Given
dimension of box are
[tex]h=22\ in.\\[/tex]
Square base length is [tex]l=3\ in.[/tex]
[tex]\therefore w=3\ in.[/tex]
The surface area of a rectangular prism is
[tex]S.A.=2[lb+bh+hl][/tex]
The paper area must be equal to the surface area of the prism
[tex]S.A.=2[22\times 3+3\times3 +3\times 22]\\S.A.=2\times 141=282\ in.^2[/tex]
HELPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
1. +25
2. +14
3. -10
4. -3
5. +2
Step-by-step explanation:
I hope these help , please tell me if i got any incorrect or misunderstood!
write (3a^3)^2 without exponents
Answer:
9 x a x a x a x a x a x a
Step-by-step explanation:
[tex](3a^{3})^{2} = 9a^{6} \\[/tex] Here, we use the law of indices. Everything inside the bracket has to be squared, so 3^2 = 9 and (a^3)^2 = a^6 We use the rule of when one power is within a bracket and one outside, we multiply the two powers together instead of adding.
3^2 can be simplified to 9 as this is simply 3 x 3, but a^6 (this is still a value with an exponent) cannot be simplified so we break this down into the notation of a x a x a x a x a x a
Therefore 9 x a x a x a x a x a x a is the answer.
I hope this helps you!! ^-^
The expansion of (3a³)² without exponents will be 9 x a x a x a x a x a x a.
What is expansion?Expanded form is the term used in mathematics to refer to the process of expanding a number to convey the value of every digit and place value.
When a mathematical object is increased by a multiplier that is bigger in actual values than one, an expansion follows.
In another word, if you solve a factor by opening the bracket then you will go to get on some expanded term called expansion.
In mathematics, all real-life problems can be converted into equations which are sometimes in form of factors and we need to expand them to create solutions.
Given the expression,
(3a³)²
By the law of indices
(3a³)² = 3²(a³)²
(3a³)² = 9a⁶
But we cannot write it in exponent form
So,
9a⁶ = 9 × a x a x a x a x a x a.
Hence "The expansion of (3a³)² without exponents will be 9 x a x a x a x a x a x a".
For more information about the expansion,
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12 = x +24/8
I really need help with this
Answer:
x = 9
Step-by-step explanation:
24 divided by 8 is equal to 3.
12 = x + 3 (subtract three from both sides)
9 = x
Choose Yes or No to tell whether the symbol will be reversed when the variable is isolated in each inequality.
Answer:
1. No
2. No
3. Yes
4. Yes
Step-by-step explanation:
Any time you multiply/divide both sides with a negative the inequality will be reversed!
Answer:
c and d
Step-by-step explanation:
PLEASE GEOMETRY HELP WILL MARK BRAINLIEST!!!