Answer:
A
Step-by-step explanation:
cause it will be more faster just because it is in a solid phase or it is solid
The time taken to hit the ground is 6.25 sec.(Option B)
How to calculate time?
It is given that penny follows the trajectory:
[tex]y = -4.9x^2 + 32x + 425[/tex]
Differentiating it we get:
[tex]\dfrac{dy}{dx} =-9.8x+32[/tex]
At y=425, it is obvious that x=0
So dy/dx at x=0 is 32.
Now the vertical component of the velocity is 32sinФ (where Ф is the angle at which penny is thrown).
Ф[tex]=\tan^{-1}(32)[/tex]
Vertical component=[tex]32*\sin(\tan^{-1}(32))[/tex]=31.98 ft/sec
Now applying the equation of motion: acceleration=-32ft/sec^(2)
u=31.98ft/sec s=-425 t=?
[tex]s=ut+\frac{1}{2} at^{2}[/tex]
[tex]-425=31.98t-16t^2[/tex]
[tex]16t^2-31.98t-425=0[/tex]
Solving the quadratic equation we get:
t=6.249 sec≅6.25 sec
Therefore, the time taken is 6.25 sec.
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pls help. pls show work as well thank you:)
Answer:
Step-by-step explanation done
Find the equation of a line perpendicular to y = (75)x - 1 and has a y-
intercept of 1.
Answer:
6y = -5x + 6
y = -5/6 x + 1
Step-by-step explanation:
y = -5/6 x + b
1 = b
I need help by 9:30!!! Please help! I would GREATLY appreciate it!!!!!
I have two questions:
1. Which is larger: a or -a
if a > 0 = a___-a
if a = 0. = a___-a
if a < 0 = a___-a
2. Which is larger: 1/a or 1/2a
if a > 0 = 1/a___1/2a
if a < 0 = 1/a___1/2a
Answer:
1. a>-a
EXAMPLE: 5>-5
2. a=-a
3. a<-a
EXAMPLE: -3<--3 = -3<3
Step-by-step explanation:
A person must score in the upper 2% of the population on an IQ test to qualify for membership in Mensa, the international high IQ society. If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. what score must a person have to qualify for Mensa? If required, round your answers to nearest whole number.£
Answer:
130.81
Step-by-step explanation:
Given that :
Mean, μ = 100
Standard deviation, σ = 15
To obtain the upper 2% of scores :
We find the Zscore (value) of the upper 2% from the normal probability distribution table ;
Zscore corresponding to the area in the left of (1 - 0.02) = 2.054
Using this with the Zscore formula :
Zscore = (x - μ) / σ
2.054 = (x - 100) / 15
2.054 * 15 = x - 100
30.81 = x - 100
30.81 + 100 = x
x = 130.81
HELP ME PLEASE I NEED HELP
Consider the end behavior of the function g(x) = 4|x − 2| − 3.
As x approaches negative infinity, f(x) approaches POSITIVE OR NEGATIVE infinity.
As x approaches positive infinity, f(x) approaches POSITIVE OR NEGATIVE infinity.
Answer:
Step-by-step explanation:
This is a narrower-than-normal absolute value graph, which is a v-shaped graph. It's pointy part, the vertex, lies at (2, -3) and it opens upwards without bounds along both the positive and negative x axes. Therefore, as x approaches negative infinity, f(x) or y (same thing) approaches positive infinity. As x approaches positive infinity, f(x) approaches positive infinity.
What do you know to be true about the values of p and q?
Answer:
p = q
Step-by-step explanation:
Angles in a triangle add up to 180°
For the left triangle:
180 = p + 20 + 80
p = 80
For the right triangle:
180 = q + 45 + 55
q = 80
Therefore, p = q
Courtney needs to wrap this gift box, which is 412 inches wide, 6 inches long, and 3 inches tall. What is the surface area of the box?
convert the rational number into an equivalent rational number with the given numerator 3/5=12/□
plz give me answer fastly and don't snap
Answer:
3/5
=3*4/5*4
=12/20
I hope this will help.
Answer:12/20
Step-by-step explanation:
Please help me ASAP I’m stuck on these questions
Answer:
4, yes through the middle 5, yes through the middle 6, yes through the middle all of them reflect from the center
Step-by-step explanation:
Which models best illustrates the inequality and its graph?
a.) tina can type at least 60 words per minute
b.)tina can type at most 60 words per minute
c.)tina can type no more than 60 words per minute
d.) tina can type more than 60 words per minute
Answer:
a)
Step-by-step explanation:
The graph shows a solid dot on 60 and shading to the right of 60, so it shows all numbers greater than or equal to 60.
a.) tina can type at least 60 words per minute
At least 60 means greater than or equal to 60.
This is the answer.
b.)tina can type at most 60 words per minute
This is less than or equal to 60.
c.)tina can type no more than 60 words per minute
This means less than or equal to 60.
d.) tina can type more than 60 words per minute
This means greater than 60.
HELP MEE
What is the LCM of 9 and 12?
24
36
3
12
Answer:
It is 36
Step-by-step explanation:
Hopefully this help
Have a good day bye
In Exercises 51−56, the letters a, b, and c represent nonzero constants. Solve the equation for x
ax – 2 = 12.5
Answer:
x = 14.5/a
Step-by-step explanation:
ax – 2 = 12.5
Add 2 to each side
ax – 2+2 = 12.5+2
ax = 14.5
Divide by a
ax/a = 14.5/a
x = 14.5/a
the ratio of Ages of Minu and her brother Sudhir is 3:4 the difference between their ages is 5 years then find their present ages
Let the ages be 3x and 4x
ATQ
[tex]\\ \Large\sf\longmapsto 4x-3x=5[/tex]
[tex]\\ \Large\sf\longmapsto x=5[/tex]
Now
[tex]\\ \Large\sf\longmapsto Age\:of\:Minu=3x=3(5)=15years[/tex]
[tex]\\ \Large\sf\longmapsto Age\:of\:Sudhir=4x=4(5)=20years[/tex]
Their present ages are 15 and 20 years.
Let the age of Minu be represented by x
Since the difference between their ages is 5 years, then the age of her brother will be x + 5.
Based on the information given in the question, the equation to use in solving the question will be:
x/(x + 5) = 3/4
Cross multiply
(4 × x) = 3(x + 5)
4x = 3x + 15
Collect like terms
4x - 3x = 15
x = 15
Minu's age is 15 years
Therefore, her brother's age will be:
= x + 5
= 15 + 5
= 20 years
In conclusion, their present ages are 15 and 20 years.
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For his long distance phone service, tony pays $3 monthly fees plus 11 cents per minute. Last month, Tony's long distance bill was $22.03. For how many minutes was tony billed
Answer:
173 minutes
Step-by-step explanation:
Total fees= monthly fees + $0.11(number of minutes)
$22.03= $3 +$0.11(number of minutes)
$0.11(number of minutes)
= $22.03 -$3
= $19.03
= 1903¢
11¢ (number of minutes)= 1903¢
Number of minutes
= 1903¢ ÷11¢
= 173
Thus, Tony was billed for 173 minutes.
Find the
Prove that sin theta tan theta= (1 + sec theta)(1 - cos theta)
Answer:
Step-by-step explanation:
RHS = (1 +Sec Ф)(1 - Cos Ф)
= 1*1 - 1*Cos Ф + Sec Ф *1 - Sec Ф *Cos Ф
= 1 - Cos Ф + Sec Ф - 1 {Sec Ф = [tex]\frac{1}{Cos \ theta}[/tex] )
=Sec Ф - Cos Ф
= [tex]\frac{1}{Cos \ theta}[/tex] - Cos Ф
[tex]= \frac{1}{Cos \ theta}-\frac{Cos \ theta*Cos \ theta}{Cos \ theta}\\\\= \frac{1-Cos^{2} \ theta}{Cos \ theta}\\\\= \frac{Sin^{2} \ theta}{Cos \ theta}\\\\=\frac{Sin \ theta*Sin \ theta}{Cos \ theta}\\\\= Sin \ theta*\frac{Sin \ theta}{Cos \ theta}[/tex]
= Sin Ф* tan Ф = LHS
Find the area of the bolded outlined sector.
Outlined sector:
2 πr x 225/360 +2r
=2x3.14x10 x 225/360 +20
=59.25 cm
Hope this helped!
Write the following surds in exponential form square root of 2
Answer:
[tex] {2}^{1 \div 2[/tex]
Can u help solve this
Answer:
- 5/3
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -1 -9)/(4 - -2)
= (-1-9)/(4+2)
= -10/6
- 5/3
Answer:
[tex]slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{ - 1 - 9}{4 - - 2} \\ \frac{ - 10}{6} \\ = - \frac{5}{3} \\ thank \: you[/tex]
The population, P, of six towns with time t in years are given by the following exponential equations:
(i) P = 1000 (1.08) Superscript t (ii) P = 600 (1.12) Superscript t
(iii) P = 2500 (0.9) Superscript t (iv) P = 1200 (1.185) Superscript t
(v) P = 800 (0.78) Superscript t (vi) 2000 (0.99) Superscript t
Which town decreasing the fastest?
a.
ii
c.
iii
b.
v
d.
vi
Please select the best answer from the choices provided
A
B
C
D
Given:
The population, P, of six towns with time t in years are given by the following exponential equations:
(i) [tex]P=1000(1.08)^t[/tex]
(ii) [tex]P = 600 (1.12)^2[/tex]
(iii) [tex]P =2500 (0.9)^t[/tex]
(iv) [tex]P=1200 (1.185)^t[/tex]
(v) [tex]P=800 (0.78)^t[/tex]
(vi) [tex]P=2000 (0.99)^t[/tex]
To find:
The town whose population is decreasing the fastest.
Solution:
The general form of an exponential function is:
[tex]P(t)=ab^t[/tex]
Where, a is the initial value, b is the growth or decay factor.
If b>1, then the function is increasing and if 0<b<1, then the function is decreasing.
The values of b for six towns are 1.08, 1.12, 0.9, 1.185, 0.78, 0.99 respectively. The minimum value of b is 0.78, so the population of (v) town [tex]P=800 (0.78)^t[/tex] is decreasing the fastest.
Therefore, the correct option is b.
The American Academy of Health and Fitness released a survey, revealing that 35% of US adolescents admit they lie to their doctor about how often they eat vegetables. Dr. Vincent believes that the percentage is different than what is shown by the survey results. She decides to conduct her own hypothesis test to determine the true proportion. What should she write as the null and alternative hypotheses for this situation?
H0: μ = 0.35; Ha: μ > 0.35
H0: μ = 0.35; Ha: μ < 0.35
H0: p = 0.35; Ha: p > 0.35
H0: p = 0.35; Ha: p < 0.35
H0: p = 0.35; Ha: p ≠ 0.35
The null and the alternate hypothesis are:
H0: p = 0.35; Ha: p ≠ 0.35
Given that:
[tex]p = 35\%[/tex]
[tex]p = 0.35[/tex]
The percentage that lie are not 35% means that they are not equal to 35%
Not equal to is represented as: [tex]\ne[/tex]
So, the alternate hypothesis is:
Ha: p ≠ 0.35
The null hypothesis will be the direct opposite, i.e. equal to 35%
So, the null hypothesis is:
H0: p = 0.35;
Hence, the null and the alternate hypotheses are:
H0: p = 0.35;
Ha: p ≠ 0.35
Read more about null and hypotheses at:
https://brainly.com/question/13802969
find the length of side x to the nearest tenth
Answer:
9.9
Step-by-step explanation:
x = √(7²+7²)
= √(49+49)
= √(49×2)
= 7√2
= 9.9 (rounded to the nearest tenth)
Answered by GAUTHMATH
Answer:
9.9
Step-by-step explanation:
Since this is a right and isosolese triangle, the adjacent side is also 7, so
c**2 = a**2 + b**2
c**2 = 7**2 + 7**2
c**2 = 49 + 49 = 98
c = +- (98)**1/2
c = 9.9
SEE IMAGE FOR QUESTION
Answer:
17The range is the difference of the greatest and smallest numbers:
5 - (-5) = 1018Semi-interquartile of the range is:
(Q3 - Q1)/2 = 12Since Q1 = 15, find Q3:
Q3 - 15 = 2*12Q3 = 24 + 15 = 39Note. Probably the numbers mixed up in the question.
If we swap them:
Q3 = 2*15 + 12 = 42 would be the correct answer. 19Given data:
3, 5, 7, 9, 11The mean:
(3 + 5 + 7 + 9 + 11)/5 = 7Variance, the average of the squared differences from the mean:
[(3 - 7)² + (5 - 7)² + (7 - 7)² + (9 - 7)² + (11 - 7)²]/5 = 8PLS HURRY I NEED THE ANSWER FAST
Answer:
16
notice how a right triangle was formed, and the Pythagorean theorem could be used to solve this :
a^2 + b^2 = c^2
a^2 + 15^2 = 17^2
a^2 + 225 = 289
a^2 = 64
a= 8
multiply it by 2 to get the side of the base
8 * 2 = 16
Maya asked 8 students how many courses they have taken so far at her college. Here is the list of answers.
12, 24, 9, 19, 24, 5, 17, 21
What is the percentage of these students who have taken fewer than 19 courses?
Answer:
50%
Step-by-step explanation:
The question asks who has taken fewer than 19 courses.
So first we look at how many are fewer than 19.
There are 4 that are fewer than 19: 12, 9, 5, 17
So.. 4/8 (8 is the total number of options)
To find the percentage you...
ASAP!! can i get some help on this question please, and can i get a step by step explanation, thank you.
Answer:
2xy^2
Step-by-step explanation:
8/4=2
x^3/x^2=x
y^5/y^3=y^2
Answer:
2xy^2
Step-by-step explanation:
First, 8/4 is 2.
2x^3y^5 / 4x^2y^3
Then, we can bring the x^2 up. It becomes the -x^2. Combined with the x^3, we have x. Finally, we can bring the y^3 up, where it becomes -y^3. Combined with the y^5, we get y^2.
Our final answer is 2xy^2.
plz help asap!!!¡!!!!
Drag the tiles to the correct boxes to complete the pairs.
Match the graphs with the functions they represent.
Answer:
Step-by-step explanation:
Equation of a parabola with vertex (h, k) is given by,
y - k = a(x - h)²
Equation of a function 'f' with vertex (0, 3) will be,
y - 3 = a(x - 0)²
y - 3 = ax²
Since, graph of this function passes through (1, 4),
4 - 3 = a(1)²
a = 1
Therefore, equation will be,
y - 3 = (x - 0)²
f(x) = x² + 3
Equation of function 'g' with vertex at (0, -3) will be,
y - (-3) = a(x - 0)²
y + 3 = ax²
y = ax² - 3
Since, the graph passes through (1, -1),
-1 = a(1)² - 3
a = 2
Therefore, equation will be,
y = 2x²- 3
g(x) = 2x² - 3
Equation of the function 'j' with the vertex (0, -3) will be,
y - (-3) = a(x - 0)²
y + 3 = ax²
y = ax²- 3
Since, the graph of the function passes through (1, -5),
-5 = a(1)² - 3
a = -2
Therefore, function 'j' will be,
j(x) = -2x² - 3
Equation of the function 'h' with the vertex (0, -3) will be,
y - (-3) = a(x - 0)²
y + 3 = ax²
y = ax² - 3
Since, the graph of the function passes through (2, 1)
1 + 3 = a(2)²
4 = 4a
a = 1
Therefore, equation of the function 'h' will be,
h(x) = x² - 3
i need help i don’t know the answer
Answer:
(3x - 4) (2x + 15)
Step-by-step explanation:
6x² + 37x - 60
Using "splitting the middle term" method,
we get;
6x² + 45x - 8x - 60
= 3x (2x + 15) - 4 (2x + 15)
= (3x -4) (2x + 15)
Graph the image of each figure under the given translation
Answer:
zzzzzZzzzzzzzzzzzzzzzzz zzz-zzzZzzzzzzzz
Step-by-step explanation:
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
I need help finding the shaded area for d, e and f please and thank you
Answer:
d, 64.26 e, 27.475 f, 126.14
Step-by-step explanation:
For d, the diameter is 12 and the equation to find the circle is πr2. 6 is the radius, so 6x6=36, and 36x3.14 cause π=3.14. 36x3.14=113.04, and we have to divide by 2 cause its only half of the circle is shaded. 113.04/2=56.52. Now we have to do 12x12 to find the whole area of the square which is 144, then 144-113.04 cause we are finding the shade outside of the circle, so 144-113.04=30.96. Finally we divide by four of the outside corners, so 30.96/4=7.74. 7.74+56.52=64.26
So D is 64.26
WARNING: The rest of them i'm not gonna explain much of it i'm just gonna say what to do, but i'll put the answers! they are all very similiar. Also, i might be wrong, so if i'm wrong i'm sorry, i'm learning too!
For E, we have to find the smaller circle that has diameter of 10, then the bigger circle is diameter of 15, so find the area of the bigger circle then minus the smaller circle than divide by 2.
78.5-23.55=54.95
54.95/2=27.475
for F, we have to find the area of the half circle with diameter of 14, so find the area of the whole circle, and we dont have to divide two cause we have the other half on the other half, and half plus a half is a whole. Then we have to do 20x14 to find the whole square minus the circle.
280-153.86=126.14
Remember this might be wrong, so sorry if it is
