Answer:
NO
Step-by-step explanation:
(4/5)^n will always be ≤ 1 for any positve n
The equation h ( n ) = 150 is false
No , the height of the ball cannot be 150 inches
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
h ( n ) = 120 x ( 4/5 )ⁿ
Now , substitute the value of h ( n ) = 150 , we get
150 = 120 ( 4/5 )ⁿ
Divide by 120 on both sides of the equation , we get
150 / 120 = ( 4/5 )ⁿ
On simplifying the equation , we get
5/4 = ( 4/5 )ⁿ
The equation is not true because we have a exponential decay function here. This height of the ball decreases with each bounce.
At bounce 0 the height of the ball is 120 inches, and then continuously decreases with a common factor of 4/5
Therefore , the value of h ( n ) can never be 150
Hence , the equation h ( n ) = 150 is false
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Which equation is a linear function?
Please answer within 5 minutes
Answer:
y= x/2-5
Step-by-step explanation:
Answer:
y=x²+7
Step-by-step explanation:
I'm pretty sure this is the answer
Find the measure of angle 1
51
52
53
50°
R
54
55
P Р
56°
Answer:
53°
Step-by-step explanation:
angle 1 = ½×( 50+56) = ½×106 = 53°
If two coplanar lines are cut by a transversal so that corresponding angles are *blank*
congruent, then the lines are
(parallel/perpendicular/skew).
Answer:
parallel
Step-by-step explanation:
If two coplanar lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel
========================================================
Explanation:
This is due to the converse of the corresponding angles theorem.
Ignoring the "converse" part for now, the corresponding angles theorem says that if two lines are parallel, then the corresponding angles are congruent.
The converse swaps the order. The converse says that if two corresponding angles are congruent, then the lines are parallel.
Corresponding angles are the angles that are in the same configuration of the four-angle set up. For instance, both angles could be in the upper right corner for each X shape.
Check out the image below to see an example of what I mean.
What are the following of this function y = 4sin (2( x - [tex]\frac{3\pi }{4}[/tex] )) :
amplitude
minimum
maximum
period
phase shift
midline equation
Answer:
See below...
Step-by-step explanation:
For a function whose formula is in this pattern:
[tex]y=A\sin\left(B(x-C)\right)[/tex]
Amplitude: [tex]|A|[/tex]
Period: [tex]\frac{2\pi}{B}[/tex]
Phase Shift: C
In this question, [tex]A=4,\,B=2,\,C=\frac{3\pi}{4}[/tex]
Amplitude: 4
Period: [tex]\frac{2\pi}{2}=\pi[/tex]
Phase Shift: [tex]\frac{3\pi}{4}[/tex]
There is no vertical shift, so the midline is the x-axis whose equation is y = 0.
Also, because there is no vertical shift, the maximum is 4 and the minimum is -4.
The graph is attached.
Please help me with simplifying this equation? (-5)^5/ (-5)^-6
Thanks
Estimate:
89 364 What’s the answer
Answer:
A. 4
Step-by-step explanation:
364/89 = 4.089
4.089 estimated to 4
PLEASEEEE HELPPPP MEEEEE
Which expression is equivalent to 4(2x + 5) ? Replace the x with a 2
Answer:
8x+20
36
Step-by-step explanation:
4(2x) + 4(5)
= 8x +20
Hence,
Substituting 2 into 8x+20:
8(2)+20
= 36
Feel free to mark it as brainliest :D
Solve for the value of x. Round to the nearest tenth.
What is the surface area of the square pyramid ?
Sorry question is only 8. Ok
Answer:
Hello! answer: 175 cm2
Step-by-step explanation:
9 × 7 = 63 63 ÷ 2 = 31.5 31.5 × 4 = 126
7 × 7 = 49 126 + 49 = 175 therefore the area is 175 Hope that helps! And I believe the unuts would be cm2 but don't quote me on it
Evaluate 4x - y if x = 3 and y = 6
Answer:
The answer is 6
Step-by-step explanation:
4 (3) - 6
12 - 6
= 6.
42-(32+4)+7
Evaluate the following expression
Answer:
13
Step-by-step explanation:
42 - (32 + 4) + 7 =
42 - 36 + 7 =
13
Answer:
15.
Step-by-step explanation:
Since 32 + 4 are in parenthesis, you'd do that first. 32 plus 4 equals 36, which subtracted from 42 is equal to 8. 8 plus 7 is 15. Therefore, your answer is 15.
I hope this helped, have a nice day.
Each time a component is tested the trial is a success (S) or failure (F). Suppose the component is tested repeatedly until a success occurs on three consecutive trials. Let Y denote the number of trials necessary to achieve this. List all outcomes corresponding to the five smallest possile values of Y, and state which Y value is associated with each one.
Y Outcomes
3
4
5
6
7
Answer:
[tex](a)\ \{SSS\}[/tex]
[tex](b)\ \{FSSS\}[/tex]
[tex](c)\ \{FFSSS, SFSSS\}[/tex]
[tex](d)\ \{FFFSSS, SSFSSS, SFFSSS, FSFSSS\}[/tex]
[tex](e)\ \{FFFFSSS, FFSFSSS, FSSFSSS, SSFFSSS, SFSFSSS, SFFFSSS, FSFFSSS\}[/tex]
Step-by-step explanation:
Given
[tex]S\to[/tex] Success
[tex]F\to[/tex] Failure
[tex]n \to 3[/tex] Consecutive trials until S happens
[tex]Y \to[/tex] Number of trials
For every possible outcome, the last 3 must be SSS. So, we have:
[tex](a)\ Y = 3[/tex]
The only possibility here is: [tex]\{SSS\}[/tex]
because 3 trials implies that all outcomes must be S.
[tex](b)\ Y = 4[/tex]
The only possibility here is:
[tex]\{FSSS\}[/tex]
because 4 trials implies that the first outcome must be F
[tex](c)\ Y = 5[/tex]
The possibilities are:
[tex]\{FFSSS, SFSSS\}[/tex]
because 5 trials implies that the first and the second outcomes must be FS or SF.
[tex](d)\ Y = 6[/tex]
The possibilities are:
[tex]\{FFFSSS, SSFSSS, SFFSSS, FSFSSS\}[/tex]
because 6 trials implies that the first three outcomes are: FFF, SSF and SFF
[tex](e)\ Y = 7[/tex]
The possibilities are:
[tex]\{FFFFSSS, FFSFSSS, FSSFSSS, SSFFSSS, SFSFSSS, SFFFSSS, FSFFSSS\}[/tex]
because 7 trials implies that the first three outcomes are: FFFF, FSSF and SSFF and FFSF (similar to (e))
What is the area of the figure? Round to the nearest tenth.
45 m
3 m
3 m
7.5 m
A 36.0 m2
B. 22.5 m2
C. 45.0 m2
D. 72.0 m2
Answer:
letter A
Step-by-step explanation:
This is made up of 4 triangular segments. If we assume the cross section is perpendicular then we can use the 1/2b*h formula for each piece with the given values. So we have 2 triangles with the formula: 1/2(3)*(4.5)=6.75 * 2 triangles = 13.5.
Then for the bottom 2 you have 1/2(3)*7.5=11.25, times 2 triangles =22.5
So, 13.5+22.5=36, or letter A
Need help fast please
Answer:
28
Step-by-step explanation:
Since this is a right triangle, we can use the pythagorean theorem
a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 + 45^2 = 53^2
a^2 +2025=2809
a^2 = 2809-2025
a^2 =784
Take the square root of each side
sqrt(a^2) = sqrt(784)
a =28
6. A store orders 8 boxes of notebooks.
There are 144 notebooks in each box
Use breaking apart to find how many
notebooks the store ordered.
Answer: 1,152 notebooks
Step-by-step explanation:
You just do 144 x 8. I’m not really sure what they mean when they say use breaking apart method. Maybe break them up into 8 group of 144. Then just add 144 together 8 times instead of multiplying hope this helps. :)
I GIVE BRAINLIEST!!!
Margie needs to borrow $9,000 from a local bank. The loan has a 8.5% interest rate for 4 years. What will Margie's monthly payment be?
Answer: I'm sorry I don't know but il try and calculate the answer for you
Step-by-step explanation:
What is the area of the base of the cone below? 12ft v=90ft^3
Answer: C 22.5 ft2!
Step-by-step explanation:
i took the test, have a great day:) <3
Answer:
right
Step-by-step explanation:
Angle 2 equals 130 find angle 3
Answer:
180° - 130 = 50°
Step-by-step explanation:
Assuming they are adjacent: 180° - 130 = 150°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The parallelogram shown below has an area of 54 units squared
Answer:
the height is 6 units
Step-by-step explanation:
Given that
The area of the parallelogram is 54 units squared
The base is 9 units
We need to find out the height
As we know that
The area of the parallelogram = Base × height
54 = 9 × height
So, the height is
= 54 ÷ 9
= 6 units
Hence, the height is 6 units
Answer:
You can only find the height if you know the length.
Step-by-step explanation:
Have a good day.
Suppose Xinwei want to put a fence around a rectangular field, where the width (w) is three times the length (l). Give an expression for the perimeter of the field in terms of its length (l).
Answer:
P = 8 l
Step-by-step explanation:
Let's consider a rectangular field with dimensions:
width (w)length (l)We know that the width (w) is three times the length (l), that is,
w = 3 l [1]
We can calculate the perimeter (P) of a rectangle using the following expression.
P = 2 l + 2 w [2]
If we replace [1] in [2], we get,
P = 2 l + 2 (3 l)
P = 2 l + 6 l
P = 8 l
Please help and hurry!
Answer:
Step-by-step explanation:
radius=diameter/2
=9/2
=4.5
Answer:
4.5
Step-by-step explanation:
9= diameter and Radius= diameter divided by 2
9 divided by 2 = 4.5
Translate into equations, but do not solve:
a The sum of two consecutive odd integers is 52?
Answer:
X + (X + 2) = 52
Step-by-step explanation:
Given that the sum of two consecutive odd integers is 52, to determine the equation that solves this problem, the following calculation must be performed:
X + (X + 2) = 52
2X + 2 = 52
X = (52 - 2) / 2
X = 50/2
X = 25
X + 2 =?
25 + 2 = 27
Therefore, the consecutive odd integers are 25 and 27.
If the discriminant is a positive number, the quadratic equation has 2 real solutions?
A.False
B. True
Answer: B
Step-by-step explanation:
Good Luck!
which sentence is true iready math
A carpet measures 7 meters 3 decimeters in length and 4 meters
decimeters in width. What is its area in square meters?
Answer:
29.2 metres squared
Step-by-step explanation:
because 3 decimetre equal 1 metre, 7 metres and 3 decimetre equal 7.3 metres.
now we just use the area formula to solve.
Area = Length × Width = 7.3 × 4 = 29.2 metres squared
If h(x) = 6 – X, what is the value of (hon (10)? O 4 -2 10 If p(x) = 2x2 - 4x and q(x) = x - 3, what is (pºq)(x)? O 2x2 - 4x + 12 O 2x2 – 16x + 18 O 2x2 – 16x + 30 O 2x2 – 16x + 15
2(x2-6x+9)-4(x-3) .... Report. 10/05/20 ... Since p(x) = 2x2 - 4x, we get: 4 - 4(x-3) = 4 - 4x + 12 = -8 - 4x (assuming 2x2 ... 4x. Note ** if in the original equation "2x2" means "2 times x to the power of 2" ... No packages or subscriptions, pay only for the time you need.2 answers Top answer:
p(x) = 2x2 – 4x and q(x) = x – 3, (p•q)(x).
The value of h(10) if h(x) = 6 – X and (pºq)(x) are -4 and 2x² - 16x + 18 respectively
How to solve equationh(x) = 6 – x
h(10) = 6 - 10
= -4
If
p(x) = 2x² - 4x
q(x) = x - 3
(pºq)(x)
= (2x² - 4x) (x - 3) × 4
= 2x² - 16x + 18
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Fatima has 1/2 gallon of milk. She wants to pour all the milk into 6 glasses. What fraction of a gallon should she pour into each glass?
Answer:
4/5
Step-by-step explanation:
1/2 ÷6=4/5
A bag with 8 marbles is shown below. (2 marbles are yellow, 3 are red, and 3 are blue.) A marble is chosen from the bag at random. What is the
probability that it is yellow or red?
Write your answer as a fraction or a whole number.
Answer:
[tex]\frac{5}{8}[/tex]
Step-by-step explanation:
Hi there!
We're given that there are 8 marbles in total. 2 marbles are yellow and 3 are red, making the number of red AND yellow marbles 5 (2+3=5)
Because 5 out of the 8 marbles are yellow or red, the probability of choosing one of them is [tex]\frac{5}{8}[/tex].
I hope this helps!
Answer:
P(Red or Yellow) = 5/8
Step-by-step explanation:
2 (yellow) + 3 (red) = 5
Hence, the probability is 5/8
Feel free to mark it as brainliest :D
Three hens can lay three eggs in three minutes? How many eggs do the hens lay in 2 hours assuming consistent
output?
assuming 2hrs is 120mins and 120mins is 7200sec divide 7200 by 3 which is 2400