Answer:
d is the correct answer this qestion
A baseball player hits a home run. A spectator observes the trajectory of the ball and expresses the height of the ball using the equation s(t)= -(t-15) + 225. Calculate the instantaneous velocity of the ball at t=4 seconds where the distance is measured in meters.
A. 44 m/sec
B. 30 m/sec
C. 26 m/sec
D. 22 m/sec
Answer:
The appropriate solution is Option D (22 m/sec).
Step-by-step explanation:
The given equation is:
[tex]s(t)= -(t-15)^2 + 225[/tex]
Now,
The instantaneous velocity at t = 4 will be:
= [tex][-2(t-15)(1)+0][/tex]
= [tex]-2(4-15)[/tex]
= [tex]-2\times (-11)[/tex]
= [tex]22 \ m/sec[/tex]
Thus, the above is the correct option.
Which statement describes the behavior of the function f(x) = 2x/1-x2?
The graph approaches -2 as x approaches infinity.
The graph approaches 0 as x approaches infinity.
The graph approaches 1 as x approaches infinity.
The graph approaches 2 as x approaches infinity.
Answer:
Step-by-step explanation:
Please use parentheses around the denominator:
2x
f(x) = -------------- or f(x) = 2x / (1-x^2)
1 - x^2
to eliminate any ambiguity. The graph of this function passes thru the origin (0,0) and has vertical asymptotes at x = -1 and x = + 1. The function is negative on (-1,0) and positive on (0,1).
Additionally, there are two horizontal asymptotes. As x grows large and negative, f(x) approaches zero from above. As x grows large and positive, f(x) approaches zero from below.
The graph approaches -2 as x approaches infinity, this describes the behavior of the function f(x) = 2x/1-x2.
The behavior of the function [tex]f(x) = 2x/(1-x^2)[/tex] as x approaches infinity depends on the degree of the numerator and denominator. In this case, both the numerator and denominator have degree 1, so we can use the ratio of the leading coefficients to determine the behavior.
The leading coefficient of the numerator is 2, and the leading coefficient of the denominator is -1. Therefore, as x approaches infinity, the function approaches -2.
So, the statement that describes the behavior of the function is: "The graph approaches -2 as x approaches infinity."
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Which scenario is modeled by the equation (x) (0.6) = 86 dollars and 46 cents?
Answer:
Answer: (C)A picnic table is on sale for 60 percent off.
Step-by-step explanation:
well someone copied me but okay :[
Find the sum of the first 10 terms of the following series, to the nearest integer.
175, 70, 28, ...
Answer:
Step-by-step explanation:
you can see this is a geometric progression which a ratio of [tex]{2\over{5}}[/tex]. the sum of the firs n term is:
[tex]S=a_1\frac{(1-r^n)}{(1-r)}=175\frac{1-(\frac{2}{5})^{10}}{1-\frac{2}{5}}=291.6360832[/tex]
the nearest integer would be:
292
The sum of the first 10 terms of the series 175, 70, 28, ... is 291.636
What is geometric progression?Geometric Progression (GP) is a type of sequence where each succeeding term is produced by multiplying each preceding term by a fixed number. This fixed number is called common ratio.. This progression is also known as a geometric sequence of numbers that follow a pattern.
Common ratio = (Any term) / (Preceding term)
What is sum of first "n" natural numbers?It means the sum of all the first "n" numbers in the series. The formula for first "n" natural numbers is
Sn = a + a r + ar2 + ar3 +…+ arn-1
or
Sₙ = a[(rⁿ – 1)/(r – 1)]
where "r" is called common ratio
"a" is called the first term in the series
From the given question the given series is 175, 70, 28, ...
70/175 = 0.4 (or) 28?70 = 0.4
As each succeeding term is produced by multiplying each preceding term by 0.4 .Here the common ratio (r) is 0.4
let first term "a" be 175
then Sₙ = 175[(0.4¹⁰-1)/(0.4 - 1)
Sₙ= 291.636
Thus the sum of the first 10 terms of the series 175, 70, 28, ... is 291.636
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is 8x + 5x and 40x
Equivalent?
Explain why
what is the slope of p?
===========================================================
Explanation:
Start at the origin (0,0). Move 2 units up (rise) and move to the right 3 units (run) to arrive at the point (3,2).
This shows that the slope is rise/run = 2/3.
---------------------
You could also use the slope formula, which is,
m = (y2-y1)/(x2-x1)
You can use any two points from the orange line.
Hi :), im really struggling with this. Just wanted to know if anyone can explain step by step for me please. Id really appreciate it.
Answer:
314 m²
Step-by-step explanation:
the formula for the surface area of a sphere (As) is
As = 4×pi×r²
the radius r (half of the diameter) is clearly indicated as 5m.
so, As = 4×3.14×5² = 4×3.14×25
I don't even need a calculator for this, as 4×25 = 100
so, As = 100×3.14 = 314
(you know, when multiplying by 10, the decimal point moves right one position. multiply by 100 it moves 2 positions, and so on).
[tex]2 + y = 1[/tex]
Answer: y= -1
Step-by-step explanation:
2+y=1
y=1-2
y=-1
The cost C of manning household is partly constant and partly varies as the number of people, the cost is 70,000 and for 10 people, the cost is 90,000 find the expression for C in terms of n ii. The weekly cost for 12 people
Answer:
4.196.754
Step-by-step explanation:
god bless stay safe po
I need help with this
Help please…………….6/11/21
9514 1404 393
Answer:
8
Step-by-step explanation:
The notation n=1 .. 8 means that n takes on all integer values from 1 to 8. Each value of n gives one term that is added to the series.
The number of terms is 8.
6
Find the slope of the line that passes through
(-4, 7) and (-6,-4)
b) -2/11
a) 2/11
d) -11/2
c) 11/2
Answer:
c) 11/2
Step-by-step explanation:
(-4, 7) and (-6, -4)
To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(-4 - 7) / (-6 - (-4))
Simplify the parentheses.
= (-11) / (-6 + 4)
= (-11) / (-2)
Simplify the fraction.
-11/-2
= 11/2
This is your slope.
Hope this helps!
A Canadian study examined the pregnancy weight gain of underweight mothers, women who had been underweight before becoming pregnant. A Normal distribution with mean 36.6 lb and standard deviation 11.9 lb is a reasonable model for the distribution of pregnancy weight gains in this population.
a) Perform the appropriate computation and fill in the blank to complete this sentence in context: In this population, the first quartile of pregnancy weight gains is_____.
b) For underweight mothers, health organizations recommend a pregnancy weight gain between 27.5 lb and 39.5 lb. What is the probability that a randomly selected underweight mother in Canada would have a pregnancy weight gain in the recommended range?
Answer:
The correct answer is:
(a) 44.6 lb
(b) 0.371
Step-by-step explanation:
Given values are:
Mean,
[tex]\mu=36.6[/tex]
Standard deviation,
[tex]\sigma=11.9[/tex]
(a)
The z distance third quartile will be:
⇒ [tex]P(Z<0.674)=0.75[/tex]
[tex]z =0.674[/tex]
By using the z-score formula, we get
⇒ [tex]x=z\times \sigma+ \mu[/tex]
[tex]=0.674\times 11.9+36.6[/tex]
[tex]=44.62[/tex]
(b)
⇒ [tex]P(27.5<x<39.5) = P[{\frac{(27.5-36.6)}{11.9} <\frac{(x-\mu)}{\sigma} <\frac{(39.5-36.6)}{11.9} }][/tex]
[tex]=P(-0.76<z<0.24)[/tex]
[tex]=P(z<0.24)-P(z<-0.76)[/tex]
By using the z table, we get
[tex]=0.5948-0.2236[/tex]
[tex]=0.371[/tex]
Really struggling with this, can someone please help me out and give me a brief explanation?
Answer:
the answer is 220
Step-by-step explanation:
the formula for surface area of a rectangular prism is A=2(wl+hl+hw)
w = width
h= height
l = length
and when you have those lengths, you have to substitute.
Using ƒ = {(1, 0), (2, 3), (3, 6)}, give the range.
Write the expression in exponential form nd then evaluate 2.1x2.1
Answer:
exponential form = 2.1^2
evaluation = 4.41
Step-by-step explanation:
it is times-ing 2.1 two times, therefore its 2.1^2
2.1 times 2.1 = 4.41
Factor completely
9 – 25x^2
Pls help i will mark the brainliest!
Answer:
more
Step-by-step explanation:
The answer is (5x+3)(-5x+3)
Find the missing terms.
3, _____, _____, 21 (arithmetic)
Answer:
Hello There!!
Step-by-step explanation:
The answer is 3,9,15,21.
hope this helps,have a great day!!
~Pinky~
Answer:
the common difference is 6. So, the missing two terms are 9 and 15 using
3 + (n-1)(6)
I am majorly stuck lol
The area of a rectangle is given by the expression 8x3 + 26x2 + 31x + 15. If the width of the rectangle is 2x + 3, what is the expression that represents the length of the rectangle?
Translate the percent sentence to a percent equation.
What number is 43% of 80?
Answer:
.43 · 80 = 34.4
Step-by-step explanation:
percentages into decimals = move decimal place to left two places
'of' means multiply in math
equations have equal (=) signs
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 423 gram setting. Is there sufficient evidence at the 0.05 level that the bags are underfilled or overfilled
Write an equivalent expression for: 5(5x - 9) *
Answer:
25x - 45
Step-by-step explanation:
5(5x - 9)
Distribute
5*5x - 5* (9)
25x - 45
Answer:
➛ 25 x - 45
Step-by-step explanation:
➛ 5 ( 5 x - 9 )
Using distributive property multiply both by 5
➛ 5 × 5 x - 5 × -9
➛ 25 x - 45
Given that f(x) = x + 4 and g(x) = x + 7, find (g – f)(x). Question 2 options: (g – f)(x) = 3 (g – f)(x) = – 3 (g – f)(x) = – 4 (g – f)(x) = 4
Answer:
A. 3Step-by-step explanation:
Given
f(x) = x + 4 and g(x) = x + 7Find (g - f)(x):
(g – f)(x) = g(x) - f(x) = x + 7 - x - 4 = 3Correct choice is A
edafjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
Answer:
fjjjjjjjjjjjjjj?
aefieoapowiejfie
Find the array to finish 976 divided by 8. NO LINKS!!!
Answer:
976 ÷ 8 =
8 groups of n = 976
n groups of 8 = 976
122
____
8 | 976
- 8
____
176
- 16
_____
160
- 160
______
0
Blue whales eat an average of 5,000 pounds of fish daily, with a standard deviation of 850 pounds. Approximately what percentage of blue whales eat more than 6700
Answer:
2.13%
Step-by-step explanation:
assume that the distribution is approximately normal
[tex]\frac{6700-5000}{850} =2[/tex]
the value is 2 s.d. more than the mean
according to normal distribution, approximately 2.13% of the data is 2 s.d. more than the mean.
y-4=7(x-6)y−4=7(x−6)
Answer:
I believe the question was written twice on accident
y=7x-38
Step-by-step explanation:
y-4=7(x-6)
y-4=7x-42
y=7x-38
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h ( t ) = − 4.9 t 2 + 229 t + 346 . Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?
How high above sea-level does the rocket get at its peak?
Answer:
[tex] \displaystyle 1)48.2 \: \: \text{sec}[/tex]
[tex] \rm \displaystyle 2)3021.6 \: m[/tex]
Step-by-step explanation:
Question-1:so when flash down occurs the rocket will be in the ground in other words the elevation(height) from ground level will be 0 therefore,
to figure out the time of flash down we can set h(t) to 0 by doing so we obtain:
[tex] \displaystyle - 4.9 {t}^{2} + 229t + 346 = 0[/tex]
to solve the equation can consider the quadratic formula given by
[tex] \displaystyle x = \frac{ - b \pm \sqrt{ {b}^{2} - 4 ac} }{2a} [/tex]
so let our a,b and c be -4.9,229 and 346 Thus substitute:
[tex] \rm\displaystyle t = \frac{ - (229) \pm \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)} [/tex]
remove parentheses:
[tex] \rm\displaystyle t = \frac{ - 229 \pm \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)} [/tex]
simplify square:
[tex] \rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 52441- 4( - 4.9)(346)} }{2.( - 4.9)} [/tex]
simplify multiplication:
[tex] \rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 52441- 6781.6} }{ - 9.8} [/tex]
simplify Substraction:
[tex] \rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 45659.4} }{ - 9.8} [/tex]
by simplifying we acquire:
[tex] \displaystyle t = 48.2 \: \: \: \text{and} \quad - 1.5[/tex]
since time can't be negative
[tex] \displaystyle t = 48.2 [/tex]
hence,
at 48.2 seconds splashdown occurs
Question-2:to figure out the maximum height we have to figure out the maximum Time first in that case the following formula can be considered
[tex] \displaystyle x _{ \text{max}} = \frac{ - b}{2a} [/tex]
let a and b be -4.9 and 229 respectively thus substitute:
[tex] \displaystyle t _{ \text{max}} = \frac{ - 229}{2( - 4.9)} [/tex]
simplify which yields:
[tex] \displaystyle t _{ \text{max}} = 23.4[/tex]
now plug in the maximum t to the function:
[tex] \rm \displaystyle h(23.4)- 4.9 {(23.4)}^{2} + 229(23.4)+ 346 [/tex]
simplify:
[tex] \rm \displaystyle h(23.4) = 3021.6[/tex]
hence,
about 3021.6 meters high above sea-level the rocket gets at its peak?
Write an equation of the line passing through the given point and satisfying the given condition. Give the equation (a) in slope-intercept form and (b) in standard form.
(6, 1), perpendicular to 2x - y = 8
Answer:
I don't no answer sorry
Step-by-step explanation:
give me brainliest
What is the value of y - X?
A. 20
D
B. 30
O
E.
о O
C. 45
Answer:
30
Step-by-step explanation:
that is the procedure above