Answer:
[tex] y = 78(0.54)^t[/tex]
And for this case we want to identify the initial amount and for this case would be 78. And the growth rate can be obtained from the term inside of the parenthesis.
The general model is given by this model:
[tex] y = a (1+r)^t[/tex]
And then [tex] 1+r = 0.54[/tex] and [tex] r = 0.54 -1= -0.46[/tex]
And then we want to find the of the function at t=5 and we got:
[tex] y(5) = 78(0.54)^5 = 3.58 \approx 3.6[/tex]
Step-by-step explanation:
For this case we have the following function given:
[tex] y = 78(0.54)^t[/tex]
And for this case we want to identify the initial amount and for this case would be 78. And the growth rate can be obtained from the term inside of the parenthesis.
The general model is given by this model:
[tex] y = a (1+r)^t[/tex]
And then [tex] 1+r = 0.54[/tex] and [tex] r = 0.54 -1= -0.46[/tex]
And then we want to find the of the function at t=5 and we got:
[tex] y(5) = 78(0.54)^5 = 3.58 \approx 3.6[/tex]
Answer:
Initial amount = 78
Rate of growth = -46%
Y(t=5) = 3.6
Step-by-step explanation:
The general form of an exponential function is:
[tex]Y(t) = Y_0*(1+r)^t[/tex]
The initial value (Y0) is the value of Y(t) when t = 0:
[tex]Y(0) = 78*0.54^0=78[/tex]
Comparing the given function to the general form of the exponential function, the rate of growth 'r' is determined as:
[tex]Y(t) = Y_0*(1+r)^t = 78*(0.54)^t\\78*(1+r)^t = 78*(0.54)^t\\1+r=0.54\\r=-0.46=-46\%[/tex]
At t=5, the value of Y(t) is:
[tex]Y(5)=78(0.54)^5\\Y=3.6[/tex]
On Thursday, rrr centimeters of rain fell on Deborah's garden. On Saturday, 15\%15%15, percent more rain fell on the garden.
The expression r+0.15rr+0.15rr, plus, 0, point, 15, r describes the number of centimeters of rain Deborah's garden got on Saturday. We can also use the expression 1.15r1.15r1, point, 15, r to represent the same quantity.
Answer:
The centimeters of rain on Thursday r
How many more centimeters of rain fell on Saturday than on Thursday 0.15r
The centimeters of rain on Saturday 1.15r
Step-by-step explanation:
Answer:
The centimeters of rain on Thursday r
How many more centimeters of rain fell on Saturday than on Thursday 0.15r
The centimeters of rain on Saturday 1.15r
Step-by-step explanation:
Hey can anyone pls help me out in dis I will give up 30 points and also will mark u as brainliest!!!!!!!!!!
Answer:
1. f
2. a
3. b
4. e
5. c
6. d
1. I figured out how to order them by using the distance formula to calculate how far each point was, from the other.
2. (1, -10) and (1, -11)
3. (1, -10) and (1, 11)
Step-by-step explanation:
Using Letter A, as example:
To calculate the distance between the points, you use the formula:
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d = \sqrt{(2-2)^2+(10-4)^2}[/tex]
[tex]d = \sqrt{0 + 36}[/tex]
d = 6
Just do the same thing (plug in the numbers into the formula), and you should be able to get the correct answers.
In ΔHIJ, the measure of ∠J=90°, IJ = 47 feet, and HI = 68 feet. Find the measure of ∠H to the nearest degree.
Answer:
44
Step-by-step explanation:
Observe a sequência de figuras a seguir.
Considerando que a lei de formação permanecerá a mesma, a figura que ocupará a posição 53a na sequência dada, será:
Answer:
C) Equal to the figure in position 3.
Step-by-step explanation:
Assume the sequence of figures is like the one below.
The pentagons differ in the number of stars in the sequence:
1, 2, 3, 4, 5, 1, 2, 3, 4, 5…
The sequence repeats after the fifth term.
To find the 53rd term, find the remainder for 53 ÷ 5.
53 ÷ 5 = 10, with a remainder of 3.
This tells you there are ten complete sequences (50 numbers), and three more numbers.
The 53rd term is 3, so
The figure that will occupy position 53 in the sequence is equal to the figure in position 3.
Tim is reading a book that contains 55 pages .He has read 46 pages,How many pages are unread?
Answer:
9 unread pages
Step-by-step explanation:
Take the total number of pages and subtract the pages that have been read
55-46 = 9
There are 9 pages that are unread
Which is a reasonable estimate for the circumference of the circle?
Answer:
24 or 25
Step-by-step explanation:
Uh I'd say 2*4*3.14=8*3.14=25.12 or if I just rounded pi to 3 it'd be 24
h(x) = 4x - 3
Given ƒ(x) and h(x), ƒ(x) has the greater value when x = 2.
a. true
b. false
Help me pleasee for this equation
Answer:
11.3 (C)
Step-by-step explanation:
sqrt(12^2 - 4^2) =
sqrt(144 - 16) =
sqrt(128)-->
11.3 (C)
Answer:
11.3 ft
Step-by-step explanation:
We have a right triangle with the hypotenuse of 12 and a leg of 4
Using the pythagorean theorem
a^2 +b^2 = c^2
4^2 + b^2 = 12^2
16 +b^2 = 144
Subtract 16 from each side
b^2 =144-16
b^2 =128
Taking the square root of each side
sqrt(b^2) = sqrt( 128)
b =11.3137085
Hay dos números. La suma de ellos es 13 y la suma de los cuadrados es
85. ¿Cuales son esos números?
Answer:
7 ; 6
Step-by-step explanation:
At 8:00 am, it is 10 degrees outside. 12 hours later at 8:00 pm, it is -20 degrees outside. What is the difference in temperatures?
Answer:
-30
Step-by-step explanation:
Point A (-6,8) and Point B (6,-7)
Answer:
[tex]\displaystyle \text{Midpoint} = \boxed{ \displaystyle \bigg(0,\frac{1}{2} \bigg) }[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Coordinate Plane
Coordinates (x, y)Midpoint Formula:
[tex]\displaystyle \bigg(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2} \bigg)[/tex]
Step-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyle\text{Point A} (-6, 8) \\\text{Point B} (6, -7) \\\begin{aligned}x_1 & = -6 \\x_2 & = 6 \\y_1 & = 8 \\y_2 & = -7 \\\end{aligned}[/tex]
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find the midpoint:
[Midpoint Formula] Substitute in coordinates:∴ we have found the midpoint of the line segment AB.
___
Learn more about Algebra I: https://brainly.com/question/14872377
___
Topic: Algebra I
[tex]\huge\underline\mathcal{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
Given - two points A ( -6 , 8 ) and B ( 6 , -7 )To calculate - mid point of the line joining points A and B.let the mid point be named P ( x , y )
Now ,
By Mid Point Formula ,
[tex]\bold{P(x,y) = ( \frac{ x_{1} + x_{2} }{2} \: , \: \frac{ y_{1} + y_{2}}{2} )} \\ [/tex]
According the the Question , we get to know that
[tex]\bold{x_{1} = - 6 \: \: \: , \: \: \: x_{2} = 6} \\ \\\bold{ y_{1} = 8 \: \: \: , \: \: \: y_{2} = - 7}[/tex]
Substituting the values in the mid point formula ,
[tex]\bold{P(x,y) = ( \frac{ - 6 + 6}{2} \: \: , \: \: \frac{8 + ( - 7)}{2} )} \\ \\ \bold{\implies \: P(x,y) = ( \frac{0}{2} \: \: , \: \: \frac{1}{2} )} \\ \\ \bold{\implies \: P(x,y) = (0,0.5)}[/tex]
hope helpful ~
when nathan was 2 1/2 years old, he was 34 inches tall. the doctor told his mother that he will be two times and 4 inches taller than that when he is an adult. which of the following equation will give h, nathans height, as an adult
Answer 5 ft 4 in
Step-by-step explanation:
2 1/2 + 2 1/2=5 + 4 inches
solve system of linear equations by substitution -2x+9y=15
x+7=4
Answer:
1
Step-by-step explanation:
-2x+9y=15
x+7=4
Solve for X.
x +7=4
-7. -7
x = -3
Plug in X into the first equation
-2(-3) + 9y = 15
6 + 9y = 15
-6. -6
9y = 9
Divide by 9 on both sides
9/9=1
Answer:
x = -3. | y = 1. | (-3,1)
Step-by-step explanation:
-2x+9y=15
x+7=4
-7. -7
x= -3
-2(-3) + 9y =15
6 + 9y= 15
-6. -6
9y = 9
÷9. ÷9
y = 1
Help asap! giving brainliest!
Answer: understand The problem
Gather reasources
check your answer to a solution
come to an answer
Which points are Coplanar and noncollinear. ?
Answer:
Non-collinear points: These points, like points X, Y, and Z in the above figure, don't all lie on the same line. Coplanar points: A group of points that lie in the same plane are coplanar. Any two or three points are always coplanar. Four or more points might or might not be coplanar.
Step-by-step explanation:
x2 + 4x + 4 = 0
Direction
Answer:
x = -1/2
Step-by-step explanation:
Suppose that in 8 minutes,40 gallons of water came out of a pipe. What was the rate in gallons per minute?
Answer:
5 galon por min uto
Step-by-step explanation:
3x + 4 = 5x - 12; x = 8 true or false?
Answer:
True.
Step-by-step explanation:
To find out if the statement is true, just plug in 8 each time you see x.
3(8)+ 4 = 28
5(8) - 12 = 28
This proves the statement is true, x = 8.
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
Answer: False
Step-by-step explanation:
3x + 4 =5x - 12
step1: get x by it self
you would get; 4 = 2x - 12
step2; make zero-pairs
you would get; 2x - 8
lastly; 8÷2=4x
Least to greatest-4 -8 -9 9 6
Answer:
-9,-8,-4,6,9
Step-by-step explanation:
Answer: -9,-8,-4,6,9
Step-by-step explanation:
The Duquesne Incline in Pittsburgh, Pennsylvania, has an angle of elevation of 30º. The track has a length of about 800 feet. Find the height of the incline.
The height of the Duquesne Incline in Pittsburgh, Pennsylvania, is approximately 400 feet.
To find the height of the incline, we can use trigonometry, specifically the sine function.
Let's consider the triangle formed by the incline track, where:
The angle of elevation (angle between the incline track and the ground) is 30 degrees.
The length of the incline track (base of the triangle) is about 800 feet.
We want to find the height of the incline (the side of the triangle opposite the 30-degree angle).
Using the sine function, we have:
[tex]sin(angle) = opposite\ side / hypotenuse[/tex]
In this case, the angle is 30 degrees, the opposite side is the height (h) of the incline, and the hypotenuse is the length of the incline track (800 feet).
So, the equation becomes:
[tex]sin(30^o) = h / 800[/tex]
h = 800 * 0.5
h = 400 feet
Therefore, the height of the incline is approximately 400 feet.
Learn more about trigonometry here:
https://brainly.com/question/32391262
#SPJ12
6x2+40=31x factorise the quadratic equation
Answer:
Step-by-step explanation:
6x² + 40 = 31x
6x² - 31x + 40 = 0
6x² - 16x - 15x + (-5)*(-8) = 0
2x(3x - 8) - 5(3x -8) = 0
(3x - 8) (2x - 5) = 0
At a particular restaurant, each chicken wing has 75 calories and each slider has 250 calories. A combination meal with chicken wings and sliders is shown to have 800 total calories and twice as many chicken wings as there are sliders. Write a system of equations that could be used to determine the number of chicken wings in the combination meal and the number of sliders in the combination meal. Define the variables that you use to write the system.
Know a are:
CW=75. SL= 250. Y= 2x
CW= X= number of wings
SL= Y= number of sliders
X+Y= Total number of items, which can be rewritten as X+2X= total
Plug in the calories for the total
2(75X) +250X= 800
150x+250X= 400X= 800
X= 800/400=2 pieces of Slider
Double the amount for Wings=2x2=4
4wings/2 Sliders
The equations that could be used to determine the number of chicken wings and sliders in the combination meal is:
75w + 250s = 800
w = 2s
Where:
w = chicken wings
s = sliders
The two equations derived from the question are known as simultaneous equations. Both equations have to be solved together in order to determine the number of wings and sliders.
The total calories of wings = number of wings x calories of each wing
75 x w = 75w
The total calories of sliders = number of sliders x calories of each sliders
250 x s = 250s
To learn more about simultaneous equations, please check: brainly.com/question/23589883
a system of equations is shown.
Answer:
x=4 , y=1
Step-by-step explanation:
y = 2x-7
y = -x +5
Set them equal to each other
2x-7 = -x+5
add x to each side
2x+x-7 = -x+x+5
3x-7 = 5
Add 7 to each side
3x-7+7 = 5+7
3x = 12
Divide by 3
3x/3 = 12/3
x=4
Now find y
y = -x+5
y = -4 +5
y = 1
CAN SOMEONE PLS HELP!!!
WILL MARK BRAINLIEST JUST PLEASE HELP ME WITH THIS QUESTION
Can adjacent angles be complementary?
Give a brief explanation as to why or why not.
Answer:
Yes, adjacent angles can be complementary. Complementary angles are defined as two acute angles with a sum that is equal to 90°. if they add up to 90°. For example, a diagonal of a square will split the right angle into two equal angles; 45°+45°. In a right triangle, the altitude from a right angled vertex will split the right angle into two adjacent angles; 30°+60°, 40°+50°, etc. Those adjacent angles are complementary.
- Hope this helped :)
I need some help please!! I'll give brainliest to first answer!!!!!!!!!!!!!
Answer:
Keith; -5, -12
Step-by-step explanation:
Logic ( Subtract 12 from both sides, then factor it out)
Can someone please help with these 4 questions?
Answer:
Q4. 2144 Q5. -16 Q6. Downwards Q7. 0 seconds
Step-by-step explanation:
Q4. h(t) = -16t² + 2400 Substitute 4 for t
h(4) = -16(4)² + 2400 Simplify the exponent
h(4) = -16(16) + 2400 Multiply
h(4) = -256 + 2400 Add
h(4) = 2144
Q5. I graphed the equation on the graph below to find the instantaneous velocity. The instantaneous velocity is -16.
Q6. At 4.5 seconds, the water rocket is traveling down because the highest point the rocket goes is at 2.8, so 4.5 is traveling downwards.
Q7. 0 seconds because the rocket goes 0 feet in 0 seconds.
If these answers are correct, please make me Brainliest!
Find the length of a diagonal of a square with side 16 cm
Answer:
The diagonal of a square with side of 16 cm is, 22.63
Step-by-step explanation:
A square has all equal sides, so all 4 sides are 16.
A triangle's side's can be found using this formula: a^2+b^2=c^2
(the Pythagorean theorem)
If you cut a square in half a triangle is formed (with a diagonal across the square, which is what we are searching for)
16^2+16^2=c^2
256+256=c^2
512=c^2
Square root both sides
c= 22.63
Hope this helps! Please mark brainliest :)
HELP PLZ 12+points
Select the correct answer from the drop-down menu.
Luther and Nelson are seniors on the school basketball team. The box plots represent the number of points they scored in 20 randomly selected games.
The number of points Nelson scores in each game is generally__?___ the number of points Luther scores in each game.
CHOICES FOR THE BLANK:
A)greater than
B)less than
C)the same as
Answer:
more than
Step-by-step explanation:
Answer: (A ) greater than
Step-by-step explanation:
The answer is greater than the number Of points Luther scores in each game
All you have to do is count the little lines and wherever the little end part of the line in box ends is the number of points he gets a game so Nelson is 24 points and Luther is 19 points.
Consider this right triangle with the given measures.
A triangle has side lengths 5 inches and 12 inches. The hypotenuse is unknown.
What is the length of the hypotenuse?
1. 52 + 122 =c2
2. 25 + 144 =c2
3. 169=c2
c=
Answer:
c=13
Step-by-step explanation:
You then square root both sides of the equation and the square root of 169 is 13.
Hope this helps! :)
Answer:
c is 13
Step-by-step explanation:
trust me bro
