Answer:
g(0) = -2
Step-by-step explanation:
Given - g(x) = -x - 2
To find - g(0)
Proof -
We have given the function ,
g(x) = -x - 2
For finding the value of g(0), we just have to put x = 0 in g(x),
We get
g(0) = -0 - 2 = -2
⇒g(0) = -2
A study is done on the population of a certain fish species in a lake. Suppose that the population size P(1) after years is given by the following exponential
function.
P(t) = 400(1.22)
Find the initial population size.
Does the function represent growth or decay?
O growth O decay
By what percent does the population size change each year?
Answer:
Growth22%Step-by-step explanation:
Given function:
[tex]P(t) = 400(1.22)^{t}[/tex]Initial population size is when t = 0
P(0) = 400(1.22)⁰ = 400(1) = 400The multiple of 1.22 is applied every year, so the ratio of change is:
1.22 = 122% = 100% + 22%This is an exponential growth which represents 22% annual growth.
The function is
y=400(1.22)^tAs per y=ab^x
1.22 is the rate of changeIts growth as it's greater than 1
The percentage increase is
1.22-10.2222%10. Lori plans to buy a book for $15.99, a magazine for $3.45, and a
bookmark for $1.99. What is an estimate of the total cost of the items to
the nearest dollar?
A) $9.00
B) $20.00
C) $21.00
OD) $22.00
Answer:
C
Step-by-step explanation:
Is a proportional function f(x) = 5x linear? Why or why not? Explain with an example.
Given two variables x and y, y is directly proportional to x (x and y vary directly, or x and y are in direct variation) if there is a non-zero constant k such that
y = kx,
The relation is often denoted, using the ∝ symbol, as
y ∝ x
in this case k = 5/1
What is the length of one side of a cube that has a surface area of 1,734 square mm?
Answer:
a = 17
Step-by-step explanation:
1,734 = 6a^2
1,734/6 = 6a^2/6
[tex]\sqrt{289}[/tex] = [tex]\sqrt{a^2}[/tex]
a = 17
Answer:
side = 17 mm
Step-by-step explanation:
1734/6 = 289
√289 = 17 mm
2a + 3b = 5
b = a - 5
Answer for A:
[tex]a = \frac{5 - 3b}{2} [/tex]
Answer for B:
[tex]b = \frac{5 - 2b}{3} [/tex]
2nd Equation:Answer:
[tex]a = b + 5[/tex]
hope it helps.
Gladys has just purchased a new home. The house was priced at $105,000,
and she chose a 40-year mortgage at 5.2%. What will her total cost be?
A. $24,776
B. $297,312
C. $249,739
D. $249,906
Answer: the answer is C
Step-by-step explanation: AP3X
The total cost is $249,739.
What is Mortgage Rate?A mortgage rate is the interest rate on a mortgage. Mortgage rates are set by the lender and might be fixed, remaining constant during the length of the loan, or variable, varying with a benchmark interest rate. Borrowers' mortgage rates differ depending on their credit profile.
We have,
P = $105, 000
T = 40 year
R = 5.2%
Using
Monthly payment, P = C[i(1+i[tex])^n[/tex]]/[(1+i[tex])^n[/tex]-1]
P = 105,000 [ 0.052/12(1+0.052/12[tex])^{480[/tex]]/[(1+0.052/12[tex])^{480\\[/tex]-1]
P = 105,000 [ 0.00433 (7.8426)] / [7.8426 -1]
P = 105,000 [ 0.03372318] / (6.8426)
P = $249,739
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EMERGENCY!! please answer!!
Hiiooo! Can someone please help ❤️❤️❤️
Answer:
tan x = [tex]\frac{f}{e}[/tex]
cos x = [tex]\frac{e}{d}[/tex]
sin x = [tex]\frac{f}{d}[/tex]
Step-by-step explanation:
tan = [tex]\frac{opposite}{adjacent}[/tex]
tan x = [tex]\frac{f}{e}[/tex]
cos = [tex]\frac{adjacent}{hypotenuse}[/tex]
cos x = [tex]\frac{e}{d}[/tex]
sin = [tex]\frac{opposite}{hypotenuse}[/tex]
sin x = [tex]\frac{f}{d}[/tex]
There are 15 counters. One-third of the counters are yellow . How many counters are yellow?
Answer:
5
Step-by-step explanation:
15 counters/3groups=5 counters per group
2) Jill is a pharmaceutical sales-person for Rx 'R
Us. She is paid a monthly salary of $4800
plus 5°. commission on sales. How much yearly
sales does Jill have to generate in order for her
yearly pay to be $50.000?
A) $240.000
B) $250.000
C) $260,000
D) $270,000
E) $280,000
Determine the y intercept (8gtade
13.8ft
15.6ft
23.4ft
46.8ft
Answer:
it is 15.6ft because you need to add 7.8+7.8= 15.6ft
Mr. Alcazar bakes cookies in batches of 60 and batches of 90. If he bakes 6 batches of 60 cookies and 5 batches of 90 cookies, how many cookies
does he bake?
360 cookies
450 cookies
810 cookies
800 cookies
Answer:
810 Cookies
Step-by-step explanation:
6x60=360
5x90=450
360+450=810
Which expression has the greatest value?
Answer:
the last one
Step-by-step explanation:
[tex]\sqrt[3]{64}[/tex] and [tex]16^{3/2}[/tex] expressions have the greatest value.
What is square root and cube root of a number?
Square root of a number results a number that when square, gives us the previous number.
Similarly, cube root of a number results a number that when cubed, gives us the previous number.
Here, [tex]\sqrt[3]{64}[/tex]² = ∛(64 × 64) = ∛(8 × 8 × 8 × 8 × 8 × 8) = 8 × 8 = 64
[tex]16^{3/2}[/tex] = 4³ = 64
[tex]\sqrt[3]{8^{4} }[/tex] = ∛(8 × 8 × 8 × 8) = ∛(64 × 64) = ∛(4 × 4 × 4 × 4 × 4 × 4) = 4 × 4 = 16
√(16²) = √(16 × 16) = 16
Therefore, [tex]\sqrt[3]{64}[/tex]² and [tex]16^{3/2}[/tex] have the greatest value.
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The largest Easter Basket ever made in out city was in the shape of a huge circle and had a circumference of 20 feet. How many feet wide was the Easter Basket? (Round to the tenths place)
Answer:
13
Step-by-step explanation:
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Help plz!!!!!!! Help plzzzz!!!!!!
4. What is the slope-intercept equation of the
line that goes through the points (1, 5) and
(2,8)?
A. y = 2x - 3
B. y = x + 1
C. y = 3x + 2
D. y =- 1.5x – 2
Answer:
Answer C: y=3x+2 because the y-intercept is positive 2 if you graph it
A parking space shaped like a parallelogram has a base of 17 feet and a height of 9 feet if a mini car 6 feet long and five feet wide parks in the space, then how many square feet of the parking space is not covered by the car
Answer:
123 cm²
Step-by-step explanation:
First of all, we need to know how exactly to find the area of a parallelogram.
Area of parallelogram= Base*Height
PARALLELOGRAM-
BASE= 17 ft
HEIGHT= 9ft
AREA= 17*9= 153 cm²
The area of parallelogram, will be considered as WHOLE AREA.
Now,
AREA OF MINI CAR-
length= 6 ft
Width= 5 ft
Area= 6*5= 30 ft ²
Square feet uncovere-
153 ft²- 30 ft²= 123 ft²
HOPE IT HELPS!
Find the measure of Arc VF.
Answer:
120
Step-by-step explanation:
i did it
If you make me go off to another site, dont answer. I just need a straight answer.
Thank you
Dont click the link if anyone posts it: It looks like this tinyurl.com/wpazsebu
Lucy scored 20 points in her basketball game. She made 4 of her free throws, worth 1 point each, and made no 3-point field goals. How many 2-point field goals did she make?
a. write an equation to represent this situation.
Answer:
Step-by-step explanation:
4x1=4, 20-4=16. 16/2=8. Lucy made 8 2 point field goals
distance between (-1,1), (-1, 7)? no need for explanation i just wanna see if my work is right before i turn it in
Answer:
6
Step-by-step explanation:
use M a t h w a y
Answer:
hey, so on that one guys odd question, you asked how to unfollow people
Step-by-step explanation:
if you go to your profile, where it tells your username, and bio and all that, and click on following. Find his account in the following list and click the little icon on the right! it should change to a different symbol :D Please stay safe girly!
A store sells bottles of juice in boxes. Garth bought 18 bottles, Rico bought 36 bottles, and Mai bought 45 bottles. What is the maximum number of bottles in each box?
Answer:
The maximum number of bottles in each box is equal to 9.
Step-by-step explanation:
Garth bought 18 bottles, Rico bought 36 bottles, and Mai bought 45 bottles. We need to find the maximum number of bottles in each box. It can be calculated using HCF of 18, 36 and 45
The factors of 18 are: 1, 2, 3, 6, 9, 18
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 45 are: 1, 3, 5, 9, 15, 45
Then the greatest common factor is 9.
So, there are 9 bottles in each box.
Help pleaseeeeee!! D:
Find the perimeter of the trapezoid below:
NO CAP PLEASE, TAKE YOUR TIME!!!
Answer:
Perimeter = 82 units
Step-by-step explanation:
Find:
Perimeter
Computation:
Unknown height = 13 + x
So,
25² = x² + 24²
x = 7
So,
Unknown height = 13 + 7
Unknown height = 20 unit
Perimeter = 25 + 24 + 13 + 20
Perimeter = 82 units
Algebraic form of an arithmetic sequence is 3/7n+1. What is
the first integer term of this sequence?
Answer:
First term = 10/7
Step-by-step explanation:
Given:
n term of arithmetic sequence = 3/7(n)+1
Find:
First term
Computation:
First term n = 1
So,
3/7(n)+1
3/7(1)+1
3/7 + 1
First term = 10/7
tell whether the ordered pair is a solution of the system of liner equation (3,2)x+y=5 y-2x=-4
Given:
The two linear equations are:
[tex]x+y=5[/tex]
[tex]y-2x=-4[/tex]
To find:
Whether the ordered pair (3,2) is a solution of the given system of liner equations.
Solution:
We have,
[tex]x+y=5[/tex] ...(i)
[tex]y-2x=-4[/tex] ...(ii)
If both the equations are satisfy by the point (3,2), then this point is the solution of the given system of equations.
Putting [tex]x=3,y=2[/tex] in (i), we get
[tex]3+2=5[/tex]
[tex]5=5[/tex]
This statement is true. It means the point (3,2) satisfies the equation (i).
Putting [tex]x=3,y=2[/tex] in (ii), we get
[tex]2-2(3)=-4[/tex]
[tex]2-6=-4[/tex]
[tex]-4=-4[/tex]
This statement is true. It means the point (3,2) satisfies the equation (ii).
Since both the equations are satisfy by the point (3,2), therefore the point (3,2) is the solution of the given system of equations.
Please help use 3.14 for pi
The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?
Answer:
0
Step-by-step explanation:
Which is the graph of the linear inequality 1/2x-2y>-6y
Answer: Are you high school because GOD that looks hard to do.
Step-by-step explanation:
Help!!! State whether you agree with each of the following statements.
1. A temperature of 35 degrees Fahrenheit is as cold as a temperature of
-35 degrees Fahrenheit.
Agree
Disagree
Answer:
Step-by-step explanation:
Not true. A temperature of 35 degrees is 70 degrees higher than -35 degrees Fahrenheit.