The value of the function G(-5 + h) - G(-5) in the simplest form -5h.
What is function?Function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.
The given function is,
G(t) = 9 - 5t (1)
To find the value of expression G(-5 + h) - G(-5),
First, find the value of G(-5 +h) by substituting t = -5+h in equation (1),
G(-5 + h) = 9 - 5(-5 + h)
= 9 +25 -5h
= 34 - 5h
The value of G(-5)
G(-5) = 9 - 5(-5)
= 9 + 25
= 34
The required value,
G(-5 + h) - G(-5) = 34 - 5h - 34 = -5h.
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Wesley sailed his boat due north for 18 miles, then due east for another 18 miles. Approximately how
far is Wesley from where he began?
Answer:
8\sqrt(2)
Step-by-step explanation:
If the die is rolled 24 times, Find the experimental probability of rolling a 5. Simplify!
Answer:
gay
Step-by-step explanation:
Find the missing value for the exponential function represented by the table below.
Then select the graph that best fits the equation.
a.
8.232, Graph A
c.
9.213, Graph A
b.
8.756, Graph B
d.
-8.232, Graph B
Answer:
To find the missing value for the exponential function, we need to identify the common ratio (r) of the exponential function, as the function can be represented as y = a(r^x), where a is the initial value.
Starting with the first two points, we can set up an equation:
24 = a(r^-2)
16.8 = a(r^-1)
Dividing the second equation by the first equation, we get:
16.8/24 = (r^-1)/(r^-2)
0.7 = r
Now we can use the third point to solve for a:
11.76 = a(0.7^0)
11.76 = a
Finally, we can use the last point to solve for y:
y = 11.76(0.7^x)
Plugging in x = 1, we get:
y = 11.76(0.7)
y = 8.232
Therefore, the missing value is 8.232, and the graph that best fits the equation is Graph A.
The missing value for the exponential function is 8.232.
The graph that best fits the equation is Graph A.
What is exponential Function?An exponential function is a Mathematical function in the form f (x) = [tex]a^x[/tex], where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
We know the standard form of exponential function is
y = a[tex](r^x)[/tex], where a is the initial value.
Now, taking the first two points we get
24 = a([tex]r^{-2[/tex])
and, 16.8 = a([tex]r^{-1[/tex])
Dividing the above equation we get
16.8/24 = ([tex]r^{-1[/tex])/ ([tex]r^{-2[/tex])
r = 0.7
Now, find the value of a
11.76 = a([tex]0.7^0[/tex])
11.76 = a
So, y = 11.76([tex]0.7^x[/tex])
For x=1 the above equation gives
y = 11.76(0.7)
y = 8.232
and the graph that best fits the equation is Graph A.
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please help and also how did u get ur answer
You have started to work for a company that has a benefits package that includes contributions to a retirement account. You plan to put $160 per month into the account. The company will contribute 20%. The account is setup with an APR of 9.0% for 32 years.
What is the total monthly amount put into the account?
Excel gives the amount in your retirement account as $425,570.83 after 32 years.
How much more is in the account after 32 years than what you put in?
9514 1404 393
Answer:
$364,130.83
Step-by-step explanation:
You put in $160 monthly for 32 years, so your contribution is ...
$160×12×32 = $61,440
The difference between the account balance and your contribution is ...
$425,570.83 -$61,440 = $364,130.83
There is $364,130.83 more in the account than what you put in.
solve by completing the square! (will give brainlist for work).n ^ 2 + n - 30 = 0
Answer:
n = 5, -6
Step-by-step explanation:
Ur welcome
Can you help me please?
9514 1404 393
Answer:
13
Step-by-step explanation:
The segments WX and WY are congruent, so ...
5n -2 = 2n +7
3n = 9 . . . . . . . . . . add 2-2n to both sides
n = 3 . . . . . . . . . . . .divide by 3
WY = 2n +7 = 2(3) +7 . . . . substitute for n in the expression for WY
WY = 13
How much money would you have to invest at 7% compounded semiannually so that the total investment has a value of $2,090 after one year?
Answer:
$1,951.03.
Step-by-step explanation:
To determine how much money would you have to invest at 7% compounded semiannually so that the total investment has a value of $ 2,090 after one year, the following mathematical calculation must be performed:
X x (1 + 0.07 / 2) ^ 1x2 = 2,090
X x 1,035 ^ 2 = 2,090
X x 1.071225 = 2,090
X = 2,090 / 1.071225
X = 1,951.03
Thus, $ 1,951.03 must be invested at 7% per annum compounded semiannually to have $ 2,090 in the account after one year.
which expression has the same value as 5 - 3x when x = 4
Answer:
1.75x?
Step-by-step explanation:
I'm not sure if it has to be multiple numbers
There are 9 apples in each
Box. How many Apples are in
in 6 boxes
Answer:
I believe h do 9 times 6. and u should get 54
What are 6 facts about Will Smith?
(They cant be about his date of birth, place of birth, his spouse, and children)
What is the area of the parallelogram
shown above?
[?] square feet
Answer:
299 square feet
Step-by-step explanation:
Area of a parallelogram = base × height
Base = 23 ft
Height = 13 ft
Note: the other length, 15 ft is not needed in calculating area of the parallelogram. All we need is just the length of the base and the height.
Area of the parallelogram shown = 23 × 13
Area = 299 ft²
What is the rate of change (as a %) if the number of employees in a company decreases from 136 to 84?
Answer:
38.2%
Step-by-step explanation:
Given data
Initial number= 136
FInal number= 84
%dcrease= initial-final/initial*100
%dcrease= 136-84/136*100
%dcrease= 52/136*100
%dcrease=0.382*100
%dcrease=38.2%
Hence the decrease is 38.2%
Can someone help me pls
72 would be the answer
E= Mc
A. Square
B. Triangle
C. Xircle
D. Subnautica
Answer:
a squared
Step-by-step explanation:
an equation solved by Einstein. possibly the most famous equation in the world. energy(E) = mass(M) times the speed of light (C) squared
squared
It is an equation by Albert Einstein.E=mc2
A group of 540 students are required to take a test. Of these,
495 actually take the test, and 45 are absent that day.
(i) Write down the ratio of the number of students who take the test
to the number of students who are absent. Simplify this ratio as far
as possible. [3]
(ii) Of the 495 students who take the test, the numbers of students
obtaining grades A, B, C and D are in the ratio 5 : 14 : 10 : 4,
respectively. Calculate the number of students obtaining each
grade. Explain how you could check that your answers are
Answer:
1175, 210, 150, 60
A rectangle has a width of 3 units. The rectangle's length is 5 times its width.
What is the area of the rectangle?
square units
Answer:
45 sq. units
Step-by-step explanation:
3x5=15
15x3=45
What is the precent of increase from 75 to 93?
Answer:
24%
Step-by-step explanation:
Percentage increase formula
(New value - Original value) ÷ Original value
Then multiple by 100
(93-75)/75 = 0.24
0.24 × 100% = 24%
What is the slope of the line that passes through the points (3, 4) and (0, -2)
Answer:
The slope is :
4-(-2)/0-3
4+2/-3
6/-3
-2
-2 is the slope
If the common ratio of a geometric sequence is less
than 0, what do you know about the signs of the
terms of the sequence? Explain.
Answer:
Step-by-step explanation:
it's going to alternate back and froth between positive and negative, maybe it will make one of those "telescoping" sequences
An amusement park reduced its admission price to $15.50 per day, but now charges $1.50 per ride. Justin has $26 to spend on admission and rides.
Answer:
Justin has enough for admission and 7 rides.
Step-by-step explanation:
26- 15.50 = 10.50
10.50 / 1.50 = 7 rides
Help please.
A cubic box is 5in. on each side. If each dimension is increased by x in., what is the polynomial function modeling the new volume V?
A. V = x^3 + 10x^2 + 25x
B. V = x^3 + 15x^2 + 75x + 125
C. V = x^3 - 15x^2 + 75x - 125
D. V = -x^3 - 15x^2 + 25x - 125
Answer:
B think
Step-by-step explanation:
The polynomial function modeling the new volume of a cubic box is 5 inches On each side is x³ + 15x² + 75x + 125, so option B is correct.
What is polynomial?The only operations used in a polynomial are addition, subtraction, multiplication, and positive-integer powers of the variables. It consists of coefficients and indeterminate, often known as variables.
Given:
A cubic box is 5 inches On each side,
New volume of the cube = x + 5 inches,
Calculate the volume of the cube as shown below,
[tex]Volume = side^3[/tex]
V = (x + 5)³
V = x³ + 15x² + 75x + 125
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HELP ME PLS THANK YOU<333
Answer:
d
Step-by-step explanation:
edge 2020
p.s. pls mark brainliest, and have a good day! :)
HELPME PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
Step-by-step explanation:
0.25
B
plz answer ASAP tysm !
Answer:
I already did
Step-by-step explanation:
What is the length of the altitude of the equilateral triangle below?
Will give brainliest if correct.
The length of the altitude of the equilateral triangle below is E) 6√3.
The answer is E) 6√3.
The altitude of an equilateral triangle is the perpendicular line that is drawn from a vertex to the opposite side. The altitude bisects the opposite side and the angle at the vertex.
In this equilateral triangle, the side length is 6. The altitude bisects the opposite side, so the altitude is also 6. The angle at the vertex is 60 degrees, so the altitude forms a 30-60-90 triangle with the opposite side and the altitude.
The ratio of the side length to the altitude in a 30-60-90 triangle is 1:√3:2. So, the altitude is 6 * √3 = 6√3.
Therefore, the length of the altitude of the equilateral triangle is 6√3.
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Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax + By = C.
m = 4, (6,6)
Answer:
[tex]4x-y=18[/tex]
Step-by-step explanation:
We want to find the equation of a line in standard form with a slope of 4 and passes through the point (6, 6).
First, we can write it in point-slope form. Point-slope form is given by:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
Where (x₁, y₁) is a point and m is the slope.
Substitute:
[tex]y-6=4(x-6)[/tex]
Distribute the right:
[tex]y-6=4x-24[/tex]
Now, we can separate all the variables and the constants. Subtract 4x from both sides:
[tex]-4x+y-6=-24[/tex]
Add add 6 to both sides:
[tex]-4x+y=-18[/tex]
Traditionally, A or the coefficient of x is always positive. Hence, we can divide both sides by -1 to acquire:
[tex]4x-y=18[/tex]
The reciprocal of the sum of the number and 3?
Answer:
Could you please check if you've written the question properly
This question doesn't provide enough information
Please mark as brainliest for further answers :)The function f(x) = (x − 4)(x − 2) is shown.
On a coordinate plane, a parabola opens up. It goes through (2, 0), has a vertex at (3, negative 1), and goes through (4, 0).
What is the range of the function?
all real numbers less than or equal to 3
all real numbers less than or equal to −1
all real numbers greater than or equal to 3
all real numbers greater than or equal to −1
Answer:
Last Option : all real numbers greater than or equal to −1
Step-by-step explanation:
Answer:
D.all real numbers greater than or equal to −1
Step-by-step explanation:
If y=4, what does x equal??
Answer:
since y=4
from one of the equations
6x+4y=46
substitute y=4 In the equation
6x+4(4)=46
6x+16=46
6x=46-16
6x=30
divide both sides by the co efficient of'x'
6x/6=30/6
x=5
Find the area of the shape below
Answer:
3sqft
Step-by-step explanation:
Note that you can draw the segment AH and notice that you have 2 triangles with base 2ft and height 1.5ft each.
The area will be 2 * (2ft * 1.5ft / 2) = 3sqft
Answer:
6 ft^2
Step-by-step explanation:
Area: A = (ab)/2 where a is the H-A and b is M-T
Plugin the numbers: A = (2 x 6)/2 = 6 ft^2