Answer:
States sent representatives to Congress and provided soldiers and some officers to protect the country.
Apply the problem-solving techniques to solve the following
problem.
Population decrease In 1990, a rural area had 1200 bird
species. If species of birds are becoming extinct at the rate of
1.5% per decade (10 years), how many bird species will there be
left in the
year
2020?
Answer:
By 2020, there will be 1,147 species of birds left
Step-by-step explanation:
The general model for an exponential decrease is;
y = I(1 - r)^t
where in this case;
y is the number of bird species at a particular decade from the initial
I is the number of birds initially at 1990
r is the decrease percentage which is 1.5% per decade ; 1.5% = 1.5/100 = 0.015
t in this case will be the number of decades after the initial
Mathematically, a decade is 10 years
The difference between 2020 and 1990 is 30
The number of decades in 30 years is 30/10 = 3
so t will be 3 here
Substituting these values into the equation, we have
y = 1200(1-0.015)^3
y = 1200(0.985)^3 = 1,146.8
To the nearest whole number, this is 1,147
Solve this please )x
Answer:
okay so first of all who ever gave you this question, murder them. now second of all if u still have to do this even after murdering them then murder everyone. Finally, Don't stress on this and go watch a movie or something.
pls help quick what is 1/8+2/5
Answer:
21/40
Step-by-step explanation: here is a calculator to help you with fractions: https://www.calculatorsoup.com/calculators/math/mixednumbers.php
find the value of each variable
Katia is baking. She uses 2 ⅛ cups of sugar for cookies and 1 ⅗ cups of sugar for a cake. How much total sugar did Katia use?
Answer:
3.725
Step-by-step explanation:
because you add 2.125 (2 1/8) and 1.6 (1 3/5) to get 3.725
What are the degree and leading coefficient of the polynomial?
Answer:
Degree: 9
Coefficient: -1
Step-by-step explanation:
The degree of a polynomial is equivalent to the highest degree of all its terms.
The term with the highest degree in this polynomial is y^9
what is the slope of the graph in the picture?
Answer:
slope is 2
Step-by-step explanation:
Pick any two points
say point (0,0) and point (2, 4)
to find slope, subtract the x and y coordinates as a fraction.
y on the top, x on the bottom
y/x = (4 -0)/ (2-0) = 4/2 = 2
It's urgent!!!
Solve 5a - 2b =7 and 5a + 2b =14 simultaneously
Let A = (3,5,7,9,11,13) B=( 3,5,9,11) , C=(5,9,13)
(13)=B
A. True
B. False
Which expression can be used to find measure angle R
Answer:
cos-1(-4/14)
Step-by-step explanation:
If
4.5=r
3.5=s
2=t
By law of cosines:
[tex]r^{2}=s^{2}+t^{2} -2st cosR\\\\CosR= \frac{r^{2} -s^{2} -t^{2} }{-2st} \\\\R=cos^{-1} (\frac{(4.5)^{2}-3.5^{2} -2^{2} }{-2(3.5)(2)} )\\R= cos^{-1} (-\frac{4}{14} )[/tex]
What is m∠B to the nearest tenth?
ACB is right angle triangle. The length of AC is 14.1 and the length of BC is 22.9.
Answer:
18.044
Step-by-step explanation:
hope it helps you good day if I'm wrong tell me right away I'll try it out again.
The measure of ∠B is 31.6 .
What is trigonometric ratio?Trigonometric ratios are the ratios of the length of sides of a triangle.
These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.
The basic trigonometric ratios formulas are given below,
sin θ = Perpendicular/Hypotenuse
cos θ = Base/Hypotenuse
tan θ = Perpendicular/Base
sec θ = Hypotenuse/Base
cosec θ = Hypotenuse/Perpendicular
cot θ = Base/Perpendicular
According to the question
In right angle triangle ACB
Base BC= 22.9
Perpendicular AC = 14.1
now , using trigonometric ratio
tan ∠B = [tex]\frac{AC}{BC}[/tex]
tan ∠B = [tex]\frac{14.1}{22.9}[/tex]
∠B = [tex]tan^{-1} 0.615[/tex]
∠B = 31.6
Hence, The measure of ∠B is 31.6 .
To know more about trigonometric ratio here:
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Help Please I put 70 pts on this
The graph below shows a company's profit f(x), in dollars, depending on the price of erasers x, in dollars, sold by the company:
Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)
Part B: What is an approximate average rate of change of the graph from x = 1 to x = 4, and what does this rate represent? (3 points)
Part C: Describe the constraints of the domain. (3 points)
Answer: A) intercepts: zero profit; maximum: maximum profit. increasing: x < 4; decreasing x > 4
B) average slope: ≈50, about $50 increased profit for each $1 increase in price.
Step-by-step explanation:
A) The vertical axis of the graph represents profit, so the x-intercepts represent prices that produce zero profit. The maximum value of the graph is the maximum profit that can be obtained for any price.
The function is increasing for all prices below the one producing maximum profit (x < 4). The function is decreasing for all prices above the one producing maximum profit (x > 4). Obviously profit is increasing with price for x < 4, and is decreasing with price for x > 4.
__
B) We read the value of f(1) from the graph to be about 120, so the average rate of change is about ...
(f(4) -f(1))/(4 -1) = (270 -120)/(3) = 50
The average rate of change from x=1 to x=4 is about 50.* This means profit will increase on average $50 for each $1 increase in price in that interval.
_____
* If we take the peak profit to be $270, we can write f(x) as ...
f(x) = 16.875x(x -8)
Then f(1) = 118.125 and the average rate of change is 50.625. For the purpose here, we judge the extra precision to be pointless.
Step-by-step explanation:
A) Intercepts zero profit; maximum: maximum profit. increasing: x < 4; decreasing x > 4
B) average slope: ≈50, about $50 increased profit for each $1 increase in price.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
A) The vertical axis of the graph represents profit, so the x-intercepts represent prices that produce zero profit. The maximum value of the graph is the maximum profit that can be obtained for any price.
The function is increasing for all prices below the one producing maximum profit (x < 4). The function is decreasing for all prices above the one producing maximum profit (x > 4). Profit is increasing with price for x < 4, and is decreasing with price for x > 4.
B) The value of f(1) from the graph to be about 120, so the average rate of change is about.
(f(4) -f(1))/(4 -1) = (270 -120)/(3) = 50
The average rate of change from x=1 to x=4 is about 50.* This means profit will increase on average $50 for each $1 increase in price in that interval.
If we take the peak profit to be $270, we can write f(x) as:
f(x) = 16.875x(x -8)
Then f(1) = 118.125 and the average rate of change are 50.625. For the purpose here, we judge the extra precision to be pointless.
To know more about graphs follow
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Solve the system.
2x + y = 3
-2g = 14 – 6x
Write each equation in slope-intercept form.
Answer:
x = 2, y = -1
Step-by-step explanation:
Assuming it should be y not g
y = -2x + 3
-2y = -6x + 14
y = 3x - 7
-2x + 3 = 3x - 7
10 = 5x
x = 2
y = -1
it earned 32000 per month has been One by fourth of his income on food 3y 10 of the remainder on house rent and 5 by 21 of the remainder on the education of children how much money is still life with him
r+b=7
3.75r+2.75b=22.25
Answer:
Step-by-step explanation:
hello :
r+b=7... (*)
3.75r+2.75b=22.25.... (**)
use (*) : r = 7 - b
put this value in (**) :
3.75(7 - b)+2.75b = 22.25
26.25 -375b +2.75b = 22.5
-375b +2.75b = 22.5 - 26.25
- b = -3.75
so : b = 3.75
but : r = 7 - b
r = 7 - 3.75
r = 3.25
Which is greater -9/6 or 3/-2
Answer:
Step-by-step explanation:
-9/6 im not sure so dont get mand if im wrong
what is the awnser to 65.9- 45.902=
Answer:
19.998? or is there something else to it
(x^10)^2/x4 simplify
Answer:
x^16
Step-by-step explanation:
=> x^20 / x^4
=> x ^ 20-4
=> x^16
Please mark my answer as the brainliest for further answers :)
anybody know how to do this?????
Answer:
[tex]x = 30[/tex]
Step-by-step explanation:
In order A to be parallel to B, our alternate interior angles must be equal.
This means that
[tex]5x = 3x + 60[/tex]
[tex]2x = 60[/tex]
[tex]x = 30[/tex]
A company is going to make a storage container with sheet steel walls The container will be in the shape of a rectangular prism If the sheet steel costs 30 for each square meter how much will the sheet cost it total The sides are 7m 3m and 3m
Answer:
3060
Step-by-step explanation:
First we need to calculate the total surface area of the prism
TSA = 2(lw+wh+lh)
l is the length of the prism
w is the width of the prism
h is the height of the prism
Let
L = 7m
W = 3m
H = 3m
Substitute
TSA = 2(7(3)+3(3)+7(3))
TSA = 2(21+9+21)
TSA = 2(30+21)
TSA = 2(51)
TSA = 102m²
Hence the total surface area of the prism is 102m²
Since sheet steel costs 30 for each square meter, then;
1m² = 30
102m² = x
Cross multiply
x = 30*102
x = 3060
Hence the sheet with the dimension will cost 3060
Simplify the following rational expression and express in expanded form.
6
m
2
−
5
m
y
−
y
2
12
m
+
2
y
=
12m+2y
6m
2
−5my−
Answer:
6m²-5my-12m
Step-by-step explanation:
dont get it oooo
Answer:
On khan Academy,
it is m-y/2
9. Calcule el valor de la fuerza que experimenta un ascensor cuando levanta 150 kg en los siguientes casos: a) Cuando asciende con una aceleración de 4 m/s2 b) Cuando asciende con una aceleración de 6 m/s2 c) Explique: ¿Por qué el ascensor experimenta diferentes aceleraciones si levanta el mismo peso en ambos casos?
Answer:
a) La fuerza neta que experimenta un ascensor cuando asciende con una aceleración de 4 metros por segundo al cuadrado es 600 newtons hacia arriba.
b) La fuerza neta que experimenta un ascensor cuando desciende con una aceleración de 6 metros por segundo al cuadrado es 900 newtons hacia abajo.
c) Por la fuerza de tensión sobre el cable del ascensor.
Step-by-step explanation:
a) La fuerza neta experimentada por el ascensor ([tex]F[/tex]), en newtons, es:
[tex]F = m\cdot a[/tex] (1)
Donde:
[tex]m[/tex] - Masa, en kilogramos.
[tex]a[/tex] - Aceleración, en metros por segundo cuadrado.
Si sabemos que [tex]m = 150\,kg[/tex] y [tex]a = 4\,\frac{m}{s^{2}}[/tex], entonces la fuerza neta del ascensor es:
[tex]F = m\cdot a[/tex]
[tex]F = 600\,N[/tex]
La fuerza neta que experimenta un ascensor cuando asciende con una aceleración de 4 metros por segundo al cuadrado es 600 newtons hacia arriba.
b) Si sabemos que [tex]m = 150\,kg[/tex] y [tex]a = -6\,\frac{m}{s^{2}}[/tex], entonces la fuerza neta del ascensor es:
[tex]F = m\cdot a[/tex]
[tex]F = -900\,N[/tex]
La fuerza neta que experimenta un ascensor cuando desciende con una aceleración de 6 metros por segundo al cuadrado es 900 newtons hacia abajo.
c) De manera simplificada, el ascensor experimenta dos fuerzas que definen la fuerza y aceleración netas: (i) La fuerza de tensión sobre el cable que traslada el ascensor y el peso total del ascensor, opuesta a la anterior y en función de la aceleración gravitacional. Puesto que la masa no varía en ningún caso, se concluye que el peso es constante, entonces la diferencia de valores se debe a la fuerza por tensión del cable. En el descenso, es fuerza es menor que en el ascenso.
2 + 1.25f = 10 - 2.75f
Answer:
F=2
Step-by-step explanation:
1.25f+2.75f=10-2
calculate like terms
4f=8
divide
F=2
Please help me out with this
Answer:
112 cm^2
Step-by-step explanation:
Area of a rhombus is equal to half of the product of the diagonals, so it is 14 * 2 * 8 / 2 = 14cm * 8cm = 112 cm^2.
Other point of view: It is the sum of areas of two triangles of area 14*8/2. So the area is 14*8.
Joseph bought a fish tank shaped like a rectangular prism with the dimensions shown below. What is the area in square inches of the shaded top of the rectangular prism?
Answer:
The surface area is 310 square inches
Step-by-step explanation:
Given [Missing dimensions]
[tex]L = 5in[/tex] -- Length
[tex]W = 10in[/tex] -- Width
[tex]H = 7in[/tex] -- Height
Required
Determine the surface area
The surface area (A) of a rectangular prism is:
[tex]A = 2(LW + LH + HW)[/tex]
[tex]A = 2*(5*10 + 5*7 + 7*10)[/tex]
[tex]A = 310in^2[/tex]
What type of transformation has occurred from f(x) to g(x) on the graph below? (please help ASAP will give brainliest!!)
Rotation
None of these
Reflection
Translation
Answer:
defenitely not reflection im thinking either a or b leaning more towards a tho
Step-by-step explanation:
Answer:
ROTATION
Step-by-step explanation:
I GOT IT CORRECT ON TEST :))
Write the equation of the line that passes through the points (3, 4) and (5, 8)
Answer:
y=2x-2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(8-4)/(5-3)
m=4/2
m=2
y-y1=m(x-x1)
y-4=2(x-3)
y=2x-6+4
y=2x-2
Hey can someone tell me what -3x^2(14x^2-2x-8) equals
Answer:
-42x^4 + 6x^3 + 24x^2
Step-by-step explanation:
Help! Il give you brainlest
Answer:
What? there is no question here
Step-by-step explanation:
Plz make sure when you put an answer it is correct I’ll give you brainliest !
Answer:
C. 35 degrees
Step-by-step explanation:
Answer:
35 is your answer 21 plus 51 plus 73 plus 35