Answer:
m=3 or m=1
since m+2=_1
therefore m=2+1 or m=2-1
m=3 or m=1
An object is dropped from a height of 150 feet. Its heights s at time, t is given by the
equation s(t) =-16t^2+150 ,where s is measured in feet and t is measured in seconds.
Find the average rate of change of the height over the interval [1, 2.5).
O 1) -56 ft/sec
O2) 77 ft/sec
03) 56 ft/sec
O4) -35 ft/sec
Answer:
The average rate of change of the height over the interval [1, 2.5] is - 56 feet per second.
Step-by-step explanation:
Let [tex]s(t) = -16\cdot t^{2} + 150[/tex]. Geometrically speaking, average rate of change over a given interval ([tex]\bar v[/tex]), measured in feet per second, is determined by definition of secant line, which is defined:
[tex]\bar v = \frac{s(t_{2})-s(t_{1}) }{t_{2}-t_{1}}[/tex] (1)
Where:
[tex]s(t_{1})[/tex], [tex]s(t_{2})[/tex] - Initial and final position of the object, measured in feet.
[tex]t_{1}[/tex], [tex]t_{2}[/tex] - Initial and final times, measured in seconds.
If we know that [tex]t_{1} = 1\,s[/tex] and [tex]t_{2} = 2.5\,s[/tex], then the average rate of change over the interval [tex][1,2.5][/tex]:
[tex]s(1) = -16\cdot (1)^{2}+150[/tex]
[tex]s(1) = 134[/tex]
[tex]s(2.5) = -16\cdot (2.5)^{2}+150[/tex]
[tex]s(2.5) = 50[/tex]
[tex]\bar v = \frac{50\,ft-134\,ft}{2.5\,s-1\,s}[/tex]
[tex]\bar v = -56\,\frac{ft}{s}[/tex]
The average rate of change of the height over the interval [1, 2.5] is - 56 feet per second.
what is 6x^2-18x-3 simplified
Answer:
-6x-3
Step-by-step explanation:
Answer:
the ans is in the picture and how i got the ans thg hope it helps
(can i plz have brainlist it will make my day )
Step-by-step explanation:
I need help! I don't know what to do!
what is the equation of a vertical line that passes through the points (3,-5)
Answer: x = 3
I hope this helps you and im not to late
please helppp!! ill give brainliest <333
Answer:
a
Step-by-step explanation:
Nick spent 34 minutes on the phone while routing 17 phone calls. In all, how many phone calls does Nick have to route to spend a total of 50 minutes on the phone? Assume the relationship is directly proportional.
Answer:
25 phone calls
Step-by-step explanation:
Create a proportion where x is the number of phone calls for 50 minutes on the phone:
[tex]\frac{34}{17}[/tex] = [tex]\frac{50}{x}[/tex]
Cross multiply and solve for x:
34x = 850
x = 25
So, Nick would have to make 25 phone calls
40 POINTS!!!!!!!! NEED HELP
Figure ABCD below is transformed to obtain figure A′B′C′D′:
A coordinate grid is shown from negative 6 to 6 on both axes at increments of 1. Figure ABCD has A at ordered pair negative 4, 4, B at negative 2, 2, C at negative 2, negative 1, D at negative 4, 1. Figure A prime B prime C prime D prime has A prime at ordered pair 4, 1, B prime at 2, negative 1, C prime at 2, negative 4, D prime at 4, negative 2.
Part A: Write the sequence of transformations that changes figure ABCD to figure A′B′C′D′. Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points)
Part B: Are the two figures congruent? Explain your answer. (4 points)
Answer:
Hello! I just did the test this is on
Step-by-step explanation:
Part A-
reflect the shape across x
then move 1 to the right and 4 units down
Part B- Yes
It is still the same shape as well as the same size
The graph of g(x) shown below resembles the graph of f(x) = x2, but it has
been reflected over the x-axis. Which is the equation of g(x)?
Answer:
A. g(x) = - x²
Step-by-step explanation:
f(x) reflex over x-axis: g(x) = - f(x)
Using translation concepts, it is found that the equation of g(x) is given by:
A. g(x) = -x².
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the parent function f(x) = x² was reflected over the x-axis, that is, it was multiplied by -1, hence the equation for g(x) is given by:
g(x) = -f(x) = -x².
Which means that option A is correct.
More can be learned about translation concepts at https://brainly.com/question/4521517
#SPJ2
17+10+9×9:27
[tex]17 + 10 + 9 \times 9 \div 27[/tex]
Answer:
30
Step-by-step explanation:
17 + 10 + 9 * 9 / 27
= 17 + 10 + 81 /27
= 17 + 10 + 3
= 20 + 10
= 30
Carol starts with $50 and saves $10 each week. Bill has $25 and saves $15 each week.
True or false, Carol and Bill will have the same amount of money at week 6.
Answer:
false
Step-by-step explanation:
i dont know dont trust me
false carol gots 110$ and bill gots 115 10 times 6 is 60 and 60 +50 is 110 15 times 6 is 90 + 25 is 115 so no they don't got the same
if 10^3x=1/0.001,find the value of x
Answer:
x = 1
Step-by-step explanation:
Firstly, look at the left hand of the equation
1/0.001 = 1000 = 10^3
then
10^3x = 1000= 10^3
then
10^3x = 10^3
then
x= 1
Which fractions are less than 1 2 ? Select all that apply. A. 1 3 B. 4 6 C. 2 5 D. 5 8 E. 7 12
Answer:
Explanation below
Step-by-step explanation:
1/2 =0.5
1/3 = 0.333
4/6 = 0.667
2/5 = 0.4
5/8 = 0.625
7/12 = 0.583
The fractions less than 1/2 are:
1/3 and 2/5. (A and C).
the following relation is a function?
X + 12 >7
HELP YOU NOW PLEASE
Answer:
x>−5
Step-by-step explanation:
Which percent is equivalent to 0.3?
Answer:
30%
Step-by-step explanation:
smart highschooler brain
Which pair of segments in the figures below are congruent?
Answer:
it would be great if I could see the angles
Answer: D- BC and PN
Step-by-step explanation:
I got %100
What is the value of the missing angle ?
Answer:
30
Step-by-step explanation:
? = 180 - 150 = 30
Answer:
30°
Step-by-step explanation:
The line is 180 degrees so all you have to do is subtract 150° from 180°
You should end up with 30°
Whenever you see a straight line (IT HAS TO BE STRAIGHT), it is equal to 180°.
B
27 m
24 m
18 m
List angles largest to smallest
Answer:27,24,18
Step-by-step explanation:
sorry if it’s wrong but I think so
ANYONE GONNA HELP?????
Answer:
1. [tex]\frac{135}{360}[/tex]xπx[tex]11^{2}[/tex]=142.5cm
2a. [tex]x^{2}[/tex] +2x= x(x+2)
2b. [tex]2x^{2}[/tex]-6x= 2x(x-3)
2c. 15x-10[tex]x^{3}[/tex]= 5x(3x-2[tex]x^{2}[/tex])
2d. 9[tex]x^{2}[/tex]+3[tex]x^{3}[/tex]= 3[tex]x^{2}[/tex](3+x)
3a. (x+8) (x+2)
3b. (X+4) (x+3)
3c. (x+12) (x+1)
4a. 4522.145
4b. 278.15
5a. 14.3
5b. 43.19
Answer:more free points yay
Step-by-step explanation:
PLEASE ANSWER QUICK
George has 4 pounds of ham to make 16 sandwiches. He puts the same amount of ham on each sandwich. Which statement about George’s sandwiches is true?
Answer:
There is no photo
Step-by-step explanation:
I cant see the photo therefore I cant help
Answer:
Can u put the answer choices
Step-by-step explanation:
Verify [(1+tanx)/sinx] - secx = cscx. Show your work and identities you used.
Answer:
let's start.
Step-by-step explanation:
[tex]\frac{(1+tanx)}{sinx} -secx = cscx\\[/tex]
we can write it as
[tex]\frac{(1 + tanx)}{sinx} = cscx + secx[/tex]
starting with left hand side
LHS
[tex]\frac{(1 + tanx)}{sinx}[/tex]
[tex]\frac{1}{sinx} + \frac{tanx}{sinx}\\\\cscx + tanx *\frac{1}{sinx}\\\\cscx + \frac{sinx}{cosx} *\frac{1}{sinx}\\\\cscx + \frac{1}{cosx}\\\\cscx + secx[/tex]
∴ LHS = RHS
hence, proved
Answer:
See below
Step-by-step explanation:
(1 + tanx)/sinx - secx = cscx1/ sinx + tanx/ sinx - 1/cosx = cscx1/ sinx + sinx/ cosx × 1/sinx - 1/ cos x = cscx1/ sinx + 1/cosx - 1/cosx = cscx1/ sinx = cscxcscx = cscxA square painting has an area of 81x^2 - 90x + 25. A second square painting has an area of 25x^2 + 30x + 9. Part A: What is an expression that represents the difference of the areas of the paintings? Show two different ways to find the solution.Part B: The paintings have areas of 1,600in^2 and 484in^2, respectively. A potential buyer went to an exhibition and argued that the value of xfor both paintings is the same. Is he right? Prove it.
Answer:
56x² - 120x + 16 ; (9x - 5)² - (5x - 3)²
x in both equations is 5
Step-by-step explanation:
Painting 1 : 81x^2 - 90x + 25
Painting 2 : 25x^2 + 30x + 9
Expression for the difference between the two paintings :
Painting 1 - painting 2
(81x^2 - 90x + 25) - (25x^2 + 30x + 9)
81x^2 - 90x + 25 - 25x^2 - 30x - 9
81x² - 25x² - 90x - 30x + 25 - 9
56x² - 120x + 16
2.)
81x^2 - 90x + 25 = 1600in²
25x^2 + 30x + 9 = 484 in²
Factorizing each equation :
81x^2 - 90x + 25 = 1600 in²
(9x - 5)^2 = 1600 in²
25x^2 + 30x + 9 = 484 in²
(5x - 3)^2 = 484
(9x - 5)² - (5x - 3)²
2.)
(9x - 5)^2 = 1600
Take square root of both sides
9x - 5 = 40
9x = 40 + 5
9x = 45
x = 45/9
x = 5
(5x - 3)^2 = 484
Take square root of both sides
5x - 3 = 22
5x = 22 + 3
5x = 25
x = 25/5
x = 5
Solve for x. 5 = 1/5x − 3
Enter your answer in the box.
x =
How is pi calculated
Answer:
Pie is forever but the first 3 numbers re 314
Step-by-step explanation:
evaluate 4r/ s if r=9 and s=2
Simplify: 4 x 3^2 - 3+ 5x2 = 0 OA. 33 OB. 43 O c. 36 O D. 58 O E 34
4 x 3^2 - 3+ 5x2
4 x 9 - 3 + 10 = 0
36 - 3 + 10
33 + 10
43
Answer : 43
Edin has £300 in his saving account. His bank offers him a fixed 5% intrest per annum ,for three years.How much interest will he have in three years
Answer:
£45
Step-by-step explanation:
Given data
P= £300
R=5%
T= 3 years
SI= PRT/100
substitute
SI= 300*5*3/100
SI=4500/100
SI= £45
Hence the interest is £45
i need some assistance
Answer:
Given that,
Height of dougal is 1.84 meters and height of seb is 1.7 meters. We need to find the height of dougal as a fraction of the height of seb.
Let x is height of dougal as a fraction of the height of seb. So,
If we divide 1.7 on both sides of above equation, then,
On removing decimal, we get,
Hence, this is the required solution.
Step-by-step explanation:
Hi,, i saw this answer here in brainly because i had this one too so i hope this one helps
3. The area A of a triangle varies jointly as the base b and the altitude h of the triangle. If the area
of a triangle is 70 cm2 when the base is 14 cm and the altitude is 10 cm, find the area if the base is
8 cm and the altitude is 12 cm.
Answer:
48cm²
Step-by-step explanation:
If the area A of a triangle varies jointly as the base b and the altitude h of the triangle, this is expressed as;
A = kbh
k is the constant of proportionality
If A = 70cm², b = 14cm and h = 10cm
Substitute
70 = k(14)(10)
70 = 140k
k = 70/140
k = 0.5
To get the area if base is 8 cm and the altitude is 12 cm;
A = 0.5*8*12
A = 48cm²
Hence the required area is 48cm²
A right triangle is shown. One leg is labeled 5 and the other is labeled 13. A right angles is labeled in between the legs.
Mckenzie's Work Cara's Work
a2 + b2 = c2 a2 + b2 = c2
52 + 132 = c2 52 + b2 = 132
25 + 169 = c2 25 + b2 = 169
194 = c2 b2 = 144
Square root 194 equals square root c squared. Square root b squared equals square root 144.
13.93 ≈ c b ≈ 12
Who is right?
Answer:
Makenzie is correct, 13.93 ≈c
Step-by-step explanation:
the sides with determined lengths (see image) are A (13) and B (5). C however is not determined.
the correct equation would be to solve for c.
13² + 5² = c²
[tex]\sqrt {169 + 25} = c[/tex]
c ≈ 13.93
Clara solved for b and not c, which is incorrect.
The right working is as follows:
c² = a² + b²
c² = 5² + 13²
Using Pythagoras theorem,
c² = a² + b²
where
c = hypotenuse
a and b are the other two legs.
Therefore,
c = ?
a = 5
b = 13
c² = 5² + 13²
c² = 25 + 169
c² = 194
c = √194
c = 13.9283882772
c = 13.9 inches
learn more on Pythagoras theorem: https://brainly.com/question/25222676?referrer=searchResults