9514 1404 393
Answer:
r ≈ 19.6% per day
Step-by-step explanation:
The growth of the population can be modeled by ...
P = P0 × (1 +r)^t
where P0 is the initial population, r is the growth rate (per day), and t is the number of days. Using the given numbers, we can find r to be ...
600,000 = 100,000 × (1 +r)^10
6^(1/10) = 1 +r
r = 6^0.1 -1 ≈ 0.196231
The growth rate per day is about 19.6%.
pls help me , i need it done
Answer:0.50
Step-by-step explanation:
Range= Highest number - lowest number
=1.50 -1.00= 0.50
Help me with the e or how many you can
Please afsp
Answer:
(a)
sin²A×cos²A+sin⁴A
we will take sin²A as an common factor
so it become
sin²A×(cos²A+sin²A)
sin²A+cos²A=1
sin²A×1=sin²A
(c)
sinA×cotA
cotA= cosA/sinA
sinA×cosA/sinA=cosA
(e)
(1+sinA)²-(1-sinA)²
(a+b)²=a²+b²+2×a×b
(a-b)²=a²+b²-2×a×b
1²+sin²A+2×1×sinA-(1²+sin²A-2×1×sinA)
1+sin²A+2sinA-1-sin²A+2sinA=4sinA
(g)
(cosec²A-1)/cosec²A
cosecA=1/sinA
1/sin²A-1/1/sin²A
(1/sin²A-1)×sin²A
1-sin²A
1=sin²A+cos²A
sin²A+cos²A-sin²A=cos²A
(i)
sqrt(1+tan²A)×sqrt(1-cos²A)
1+tan²A=
1+sin²A/cos²A=
sin²A+cos²A/cos²A
sin²A+cos²A=1
=1/cos²A
1-cos²A
1=sin²A+cos²A
sin²A+cos²A-cos²=sin²A
sqrt(1/cos²A)×sqrt(sin²A)
1/cosA×sinA=sinA/cosA=tanA
have a great day
what is the arithmetic property of x+0*d=x
You bought a total of 6 pens and pencils for $4. If each
pen costs $1 and each pencil costs $.50, how many
pens and pencils did you buy?
Answer: 2 pens and 4 pencils.
Step-by-step explanation:
If you buy 2 pens it is equal to $2.
If you buy 4 pencils it is also equal to $2.
2+2=4
and 2 pens and 4 pencils is equal to 6 in total.
Answer
[tex]2[/tex] pens and [tex]4[/tex] pencils were bought for [tex]\$4[/tex] such that [tex]6[/tex] pens and pencils are bought for [tex]\$4[/tex] and each pen costs [tex]\$1[/tex] and each pencil costs [tex]\$0.50[/tex].
Linear EquationThe equation whose variables' highest power is one is known as linear equation.
To find the unknown quantities, always assume it to be a variable and then form the equation based on the conditions given in the question.
How to solve the linear equations?Let the number of pens bought be [tex]x[/tex].
and the number of pencils bought be [tex]y[/tex].
The total number of pens and pencils [tex]=6[/tex].
So, the first equation is,
[tex]x+y=6[/tex]
[tex]x=6-y[/tex] ... (i)
And the costs per pen and pencil is [tex]\$1[/tex] and [tex]\$0.50[/tex] respectively.
So, the second equation is,
[tex]x+0.5y=4[/tex] ... (ii)
Now, solve the pair of linear equations.
Put the value of [tex]x[/tex] in the equation (ii),
[tex]6-y+0.5y=4\\-0.5y=-2\\y=4[/tex]
So,
[tex]x=6-4\\x=2[/tex]
Thus, [tex]2[/tex] pens and [tex]4[/tex] pencils were bought for [tex]\$4[/tex].
Learn more about linear equations here- https://brainly.com/question/11897796
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which fractions is equivalent is 6/10
1.3/5
2.9/12
3.20/50
4.40/50
Answer:
1 as
3/5 × 2/2 = 6/10
Step-by-step explanation:
Hope it helps
A cookie recipe calls for 4/3 cup of flour and makes 3 dozen cookies, Il Cassandra plans to make 18 dozen cookies, how many cups of does she need?
Answer:
8
Step-by-step explanation:
4/3 cup for 3 dozen.
how many cups for 18 dozen ?
what factor do I need to use to turn 3 into 18 ?
3×x = 18
x = 18/3 = 6
so, I need 6 units of flour (1 unit is 4/3 cup) to make 6 units of cookies (1 unit is 3 dozen).
therefore, we need
4/3 × 6 = 6×4/3 = 2×4 = 8 cups of flour.
(15-12)2-2+5=
20+23×3-1=
[4(3+2)-4]+42
Answer:
Here is your answer . Hope this is helpful to you.
Madison lives between Anoa and Jamie as depicted on the line segment. The distance between Anoa's house and Madison's house is represented by 3x+2 miles, the distance between Madison's house and Jamie's house is represented by 3x+4 miles, and the distance between Anoa's house and Jamies house is represnted by 9x-3 miles. Find the value of x. Then find the distance between Madison's house and Jamie's house.
Answer:
x = 3
13 miles between Madison and Jamie's house.
Step-by-step explanation:
If we add the distance between Anoa's and Madison's house with the distance between Jamie's and Madison's house, then we get the total distance between Anoa's and Jamie's house.
(3x + 2) + (3x + 4) = 9x - 3
Let's add up the terms first
3x + 2 + 3x + 4 = 9x - 3
6x + 6 = 9x - 3
Let's move the variables to the right side by subtract 6x from both sides
6x + 6 = 9x - 3
-6x -6x
6 = 3x - 3
Add 3 to both sides
6 = 3x - 3
+3 +3
9 = 3x
Isolate the variable, x, by dividing both sides by the coefficient, 3.
9/3 = 3x/3
x = 3
Now we need to find the distance between Madison's and Jamie's house.
3x + 4
Plug in 3 in place of the x
3(3) + 4
9 + 4 = 13
Answer:
Step-by-step explanation:
If we add the distance between Anoa's and Madison's house with the distance between Jamie's and Madison's house,then we get the total distance between anoa's and Jamie's house.
Find the length of Jl.
JI=2x - 6
KJ=2x - 15
KI=15
Answer:
x=12
Step-by-step explanation:
2x-15 + 2x-6 = 15
4x = 36
x = 9
2 x 9 - 6 = 12
divide write your answer in simplest form 2/3 divided by 1/4
Answer:
8/3 or 2.6667
Step-by-step explanation:
when you divide fractions you use a technique called KCF
K = keep
C = change
F = flip
You write the equation [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{4}[/tex]
you keep [tex]\frac{2}{3}[/tex]
you change the symbol, so from ÷ you change it to x
and flip the last fraction, so you would have [tex]\frac{4}{1}[/tex]
then you solve it
[tex]\frac{2}{3}[/tex] x [tex]\frac{4}{1}[/tex] = [tex]\frac{8}{3}[/tex]
The result of 2/3 divided by 1/4 in simplest form is 8/3 .
Division: It is one of the four basic mathematical operation, the other three being addition, subtraction, multiplication.
Given, division of [tex]\frac{2}{3}[/tex] by [tex]\frac{1}{4}[/tex].
Division of fractional terms:
[tex]=\dfrac{\frac{a}{b}}{\frac{c}{d}}\\= (a)\times(d)/(b)\times(c)[/tex]
Apply, division process of fractional terms.
[tex]=\dfrac{\frac{2}{4}}{\frac{1}{3}}\\ = (2)\times(4)/(1)\times(3)[/tex]
[tex]= \frac{8}{3}[/tex]
Know more about division,
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Evaluate the expression for the given values of the variables. x2 + 4(x − y) ÷ z2, for x = 8, y = 5, and z = 2
Help please hurry I don’t have much time!!!
Answer:
The correct answer is D
Take D
Troy is chasing his little brother kyle,but kyle got a 30 second head start.if kyle is traveling at 2 feet per second on
Answer:
20.
Step-by-step explanation:
when you add how far Kyle's already traveled you get sixty, the rest of the lecture explains the rest, leaving you with 20 seconds. Lol.
A drink name with 3 letters
Answer:
tea
Step-by-step explanation:
just cuz lol
Answer:
Gin
Step-by-step explanation:
Write the equation for each question:
9. the sum of 5 and four times a number is 32
10. four less than the square of a number is 12
11. The product of 3 and four more than a number is 20
Marking Brainliest for whoever answers with the equations
Answer:
See belowStep-by-step explanation:
The unknown number is reflected as n.
#9The sum of 5 and four times a number is 32:
5 + 4n = 32#10Four less than the square of a number is 12:
n² - 4 = 12#11The product of 3 and four more than a number is 20:
3*(n + 4) = 20Find the HCF of 1045 and 1520 by long division. Method plsss
Answer:
95
Step-by-step explanation:
you can watch answer in photo. by the way where r u from?
Answer:
I hope it helped U
stay safe stay happy ❤️❤️
From the set {2, 6, 42}, use substitution to determine which value of x makes the equation true.
6(x + 40) = 252
Model the situation.
The sum of two consecutive integers is 85. Find the integers that satisfy this condition.
Answer choices
A) 1 + 2 = 85
B) x+(x+1)=85
C) x+x=85
D) x+2x=85
Answer:
Option B is correct
Step-by-step explanation:
Let the number be x
Second number = x + 1
Sum = 85
x + x + 1 = 85
2x + 1 = 85
2x = 85 - 1
2x = 84
x = 84/2 = 42
Numbers are 42 and 43
Answer:
B) x+(x+1)=85
Step-by-step explanation:
Consecutive means in a row
Let x be the first integer
x+1 is the next integer
x+x+1 = 85
What is the inverse of f(x) = 2x2 –4?
Answer:
The inverse of the function is
[tex]{ \underline{f {}^{ - 1}(x) = \sqrt{ \frac{x + 4}{2} } }}[/tex]
Step-by-step explanation:
let the inverse of f(x) be m:
[tex]m = {2x}^{2} - 4 [/tex]
take 4 to the left hand side ( changes sign to positive ):
[tex]m + 4 = {2x}^{2} \\ \frac{m + 4}{2} = {x}^{2} [/tex]
take a square root on all sides:
[tex] \sqrt{ \frac{m + 4}{2} } = \sqrt{ {x}^{2} } \\ \\ x = \sqrt{ \frac{m + 4}{2} } [/tex]
substitute x in place of m:
[tex] {f}^{ - 1} (x) = \sqrt{ \frac{x + 4}{2} } [/tex]
What is the last step whenever dealing with fractions?
Answer:
The last step is to simplify the result if it can be done. To simplify a fraction, you have to find the greatest common factor (GCF) of both the numerator and the denominator. The GCF is the largest number that can be evenly divided into both numbers. In the case of 12 and 96, 12 happens to evenly divide into 96.
Find the total surface area of the pyramid with base length and height be 10 cm and 12 cm respectively.
Answer:
Hence, total surface area of the pyramid is 360 cm².
Step-by-step explanation:
We first calculate slant height L of the pyramid with base s=10 cm and height 12 cm:
L²=H²+(s/2)²=122+(10/2)²=122+5²
=144+25=169⇒
L=(169)^1/2=13
The perimeter of the base is P=4s, since it is a square, therefore,
P=4×10=40 cm
The general formula for the lateral surface area of a regular pyramid is LSA=1/2Pl where P represents the perimeter of the base and l is the slant height.
Since the perimeter of the pyramid is P=40 cm and the slant height is l=13 cm, therefore, the lateral surface area is:
LSA=1/2Pl=1/2×40×13=260 cm²
Now, the area of the base B=s² with s=10 cm is:
B=s²=10²=100 cm²
The general formula for the total surface area of a regular pyramid is TSA=1/2Pl+B where P represents the perimeter of the base, l is the slant height and B is the area of the base.
Since LSA=1/2Pl=260 cm² and area of the base is B=100 cm², therefore, the total surface area is:
TSA=1/2Pl+B=260+100=360 cm²
Hence, total surface area of the pyramid is 360 cm².
PLEASE HELP
1= a-13/-6
Show your work in details if you can, I have a hard time understanding this.
Answer: 7
Step-by-step explanation:
1. multiply both sides by -6 so the -6 on the right side could cancel out and the left side would be -6: 1= a-13/-6 ==> -6=a-13
2. add both sides by 13 so -13 on the right side could cancel out and the left side would be -6+13: -6=a-13 ==> -6+13=a-13+13
3. you know -6+13 equals 7 right? so the answer is a=7
Hey there! I'm happy to help!
We want to get the a all by itself. For me, I always like to have the variable on the left side, so first, let's just flip this around.
[tex]\frac{a-13}{-6} =1[/tex]
What we want to do is get all of the constants (numbers without variables) on the right side. This will leave a all on its own.
We see that the quantity a-13 is being divided by -6. To undo this, we will just multiply both sides by -6. This will cancel out that -6 and get us closer to having the a isolated.
[tex]\frac{a-13}{-6} *-6=1*-6\\\frac{a-13}{1}=-6\\a-13=-6[/tex]
Now we add 13 to both sides to undo the -13 on the left side.
[tex]a-13+13=-6+13[/tex]
[tex]a+0=7\\a=7[/tex]
Have a wonderful day and keep on learning! :D
(12m^7-36m) ÷6m
Please answer. Really need help
[tex]2 {m}^{8} - 6 {m}^{2} [/tex]
Step-by-step explanation:
[tex](12 {m}^{7} - 36m) \div 6m[/tex]
➡️ [tex] \frac{1 {2m}^{7} - 36m }{6} \times m[/tex]
➡️ [tex] \frac{6(2 {m}^{7} - 6m)}{6} \times m[/tex]
➡️ [tex](2 {m}^{7} - 6m)m[/tex]
➡️ [tex]2 {m}^{8} - 6 {m}^{2} [/tex]
Completa la demostración:si los ángulos adyacentes a una base de un trapecio son congruentes entonces el trapecio es isósceles.
Dado:ángulo ABE congruente con DCE,
Demostrar:AB paralelo a DC
Answer:
Ab paralelo DC
Step-by-step explanation:
a store owner has 7.11 lbs of candy. If she puts the candy into 9 jars
Answer:
7.11 / 9 = 0.79
Step-by-step explanation:
5. Find the solutions of x^2 – X-30 = 0.
please show work on how to do it
Answer:
x=6, x= -5
Step-by-step explanation:
Factor the equation
x^2 - x - 30 = 0 ----> (x-6)(x+5)=0
Next find the solution by setting those in the paranthesis equal to zero.
x-6=0 ----> x= 6
x+5=0 ----> x= -5
Step-by-step explanation:
[tex] {x}^{2} - x - 30 = 0[/tex]
➡️ [tex] {x}^{2} + 5x - 6x - 30 = 0[/tex]
➡️ [tex]x \times (x + 5) - 6(x + 5) = 0[/tex]
➡️ [tex](x + 5) \times (x - 6) = 0[/tex]
➡️ [tex]x + 5 = 0[/tex]
➡️ [tex]x - 6 = 0[/tex]
➡️ [tex]x = - 5[/tex]
➡️ [tex]x = 6[/tex]
➡️ [tex] x_{1} = - 5. \: x_{2} = 6[/tex]
The histogram below shows the number of hours per month students in Mr. Carter's class watch television. How many students watch television between 1 and 10 hours per month?
Find the measure of one interior angle of a regular 16-gon.
Answer:
157.5
Step-by-step explanation:
14×180/16
= 315/2
= 157.5
Answer:
Step-by-step explanation:
16 sides
n-2=14
14x 180 = 2250
2250/16 =157.5 = 158
QUESTION 22
Change the following improper fractions into mixed numbers or whole numbers.
25/20 =
Answer:
1 1/4
Step-by-step explanation:
25/20=5/4=1 1/4
Hope this helps, thanks!
The radius of a circle is 4.6 millimeters. Find the diameter.
Hi :)
Radius is half the diameter
4.6 mm (2) = 9.2 mm
The diameter of the circle is 9.2 mm.
