Given statement solution is :- If there are 52 students ahead of Howard when he gets in the lunch line, he should expect it to take approximately 53 minutes before he sits down to eat.
According to the equation of the line given as "m = S + 1," where m represents the number of minutes elapsed and s represents the number of students ahead of Howard in the lunch line, we can substitute the value of s as 52 to find the expected number of minutes.
m = S + 1
m = 52 + 1
m = 53
Therefore, if there are 52 students ahead of Howard when he gets in the lunch line, he should expect it to take approximately 53 minutes before he sits down to eat.
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I need help on this question pls answer :(
Answer:
Option 3
Step-by-step explanation:
Given functions are,
f(x) = [tex]\frac{1}{x-3}[/tex]
g(x) = [tex]\sqrt{x+5}[/tex]
Therefore, composite function (f o g) will be,
(f o g)(x) = f[g(x)]
= [tex]\frac{1}{\sqrt{x+5} -3}[/tex]
This function will be defined for,
Denominator > 0
[tex]\sqrt{x+5}-3>0[/tex]
[tex]\sqrt{x+5} >3[/tex]
[tex](x+5)>3^2[/tex]
[tex]x+5>9[/tex]
[tex]x>9-5[/tex]
[tex]x>4[/tex]
And [tex]x+5\geq 0[/tex]
[tex]x\geq -5[/tex]
Therefore, domain of the composite function will be,
[-5, 4) ∪ (4, ∞)
Option 3 will be the answer.
ABCD is a quadrilateral.
Sides are extended as shown.
Show that x = 100°
Solution :
Given :
ABCD is a quadrilateral.
Angle ADC = 90 degree
Angle DCB = 120 degree
Now angle DAB = 70 degree (alternate angles)
We know that the interior angles of a quadrilateral is 360 degrees.
So,
∠ DAB + ∠ ABC + ∠ BCD + ∠ CDA = 360°
70° + ∠ ABC + 120° + 90 ° = 360°
∠ ABC = 360° - (70° + 120° + 90°)
∠ ABC = 360° - 280°
∠ ABC = 80°
Now ∠ x = 180° - ∠ ABC (Line AB extended is 180° )
= 180° - 80°
= 100°
Hence proved.
ELIZ
In a basketball contest, Elizabeth made
9 out of 25 free throw attempts. Alex
made 8 out of 20 free throw attempts.
Janie said that Elizabeth had a better
free-throw record because she made
more free throws than Alex.
ATTE
2
» A. Critique Reasoning
Do you agree with Janie's reasoning? Explain.
Answer:
No, Alex had the better free throw percentage
Step-by-step explanation:
If you turn these data sets into completion percentage, (which is when you make a shot), Alex has a free throw % of 40, while Elizabeth's free throw % is only 36
Find the 5th term in the expansion of (a + b)º in simplest form.
Answer:
[tex]5^{th} term = 126a^5b^4[/tex]
Step-by-step explanation:
[tex]\left(a+b\right)^n=\sum _{i=0}^n\binom{n}{i}a^{\left(n-i\right)}b^i\\\\(a + b)^9 =\sum _{i=0}^9\binom{9}{i}a^{\left(9-i\right)}b^i\\\\[/tex]
[tex]=a^9 + 9a^8b + 36a^7b^2 + 84a^6 b^3 + 126a^5b^4+ 126a^4b^5+84a^3b^6+ 36a^2b^7+ 9ab^8+b^9[/tex]
[tex]5^{th} term = 126a^5b^4[/tex]
The midpoint of AB is M(5,-2). If the coordinates of A are
(6,-5), what are the coordinates of B?
Answer:
The coordinates of point B are (4,1)
Step-by-step explanation:
The easiest way of solving and explaining this question would to go by steps from each point. From point A to the midpoint, we go 1 left on the x axis from 6->5 and 3 up on the y axis from -5->-2. You then repeat these steps again to go from the midpoint to B. (5-1,-2+3) = (4,1)
simplify 3√225x^2y^4
Answer:
45X2y4
Step-by-step explanation:
3√225X2y4
Simplify to
45X2y4
=45X2y4
100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!The high school baseball team had a winning season. Below is a histogram of the runs scored in their games this season. How many games were played in the season? Which range of runs scored during a game occurred most frequently? Which set of data fits with the given histogram?
Answer:
10 is the range 12 game were played in the season
Step-by-step explanation:
sorry if its wrong
Answer:
29 games were played in the season.
[6,8)
1,3,3,3,4,4,4,4,5,5,6,6,6,6,6,6,7,7,7,7,8,8,8,9,9,10,11,11,12
Step-by-step explanation:
find the radian measure of an angle of 110 degrees
Answer:
0.611 rad
Step-by-step explanation:
For the radian measure:
180° = π radians
180° : 110° = 11 / 18 ≈ 0.611
110° = 11π/18 rad ≈ 0.611 rad
Gold chain with an original price of $120 is on sale for $96 what is the percent of the discount
Answer:
20% off
Step-by-step explanation:
96/120 = 80% price still, so 20% off.
You deposit $50,000 in a savings account. After 10 years, your balance is $65,000. What is your interest rate?
Answer:
r = .03 or 3%
Step-by-step explanation:
Interest = Principal x Rate x Time
15000 = 50000(10)r
15000 = 500000r
r = 15/500
r = .03 or 3%
Justin has 8250 followers on social media. His number of followers is increasing at a
rate of 12% per week. Which function represents his number of followers each
week?
a) f(x)=8250(12)x^
b) f(x)=8250(12)x^
c) f(x)=8250(1.12)x^
d) f(x)=12(8250)x^
Answer: B
Step-by-step explanation:
2 3/4 + 5 1/2 please answer fast
hope this helps you
8 1/4
PLZ MARK BRAINLY
Step-by-step explanation:
2¾+5½
4x2+3=11
2x5+1=11
therefore we have
11/4 + 11/2
(11+22)/4
33/4= 8¼
convert this equation to standard form. y=-7x/9+5
Answer:
7x+9y=45
Step-by-step explanation:
In a random sample of 40 teenagers, 18 enjoy reading for fun, and in a random sample of 40 adults, 12 enjoy reading for fun. Do these data provide convincing evidence that the true proportion of adults who enjoy reading for fun is less than that of teenagers
Answer: Yes. The data provides convincing evidence.
Step-by-step explanation:
In a random sample of 40 teenagers, 18 enjoy reading for fun. The percentage of teenagers who enjoy reading for fun will be:
= 18/40 × 100
= 45%
In a random sample of 40 adults, 12 enjoy reading for fun. The percentage of adults who enjoy will be:
= 12/40 × 100
= 30%
Therefore, the proportion of adults who enjoy reading for fun is less than that of teenagers. Therefore, the data provides convincing evidence.
Does the following statement refer to a growth or fixed mindset? "If I have to try, I must not be smart."
Answer:
fixed
Step-by-step explanation:
What is the length of the hypotenuse?
Answer:
Step-by-step explanation:
a^2+b^2=c^2
3^2+4^2=c^2
9+16=c^2
25=c^2
[tex]\sqrt{25[/tex]=c
5=c
Answer:
5 miles
Step-by-step explanation:
as we know, c^2 = 4^2 + 3^2
c^2 = 25 miles
c = 5miles
The distribution of household incomes in a small town is strongly skewed to the right. The mean income is $42,000 and the standard deviation is $24,000. The Ames family’s household income is $60,000. The z-score for the Ames family’s income is
Answer:
0.75
Step-by-step explanation:
Given :
mean = 42000
Standard deviation = 24000
score, x = 60000
The Zscore :
Zscore = (score - mean) / standard deviation
(60000 - 42000) / 24000
18000 / 24000
= 0.75
HELP HELP-
1) -2/5 x 3/7 + 7/5 x 3/7
(the / here is used for representing fraction)
Answer:
0.42857142857
Step-by-step explanation:
what is 3,818.24 to the nearest tenth?
Answer:
3,818.2
Step-by-step explanation:
The 2 is in the tenths place. Since the digit to the right of the 2 is below 5, just drop it.
Answer: 3,818.2
Answer:
the answer is 3,818.2.
step by step
49 divided by what gives you 7
Answer:
49 ÷ 7 = 7
Step-by-step explanation:
49 ÷ y = 7
7 = 49 ÷ y
7 · y = 49 ÷ y · y
7y = 49
7y ÷ 7 = 49 ÷ 7
y = 7
If speakers are originally £40 and the discount is 10% what was the price paid
Answer:
44
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Consider the sequence 1, 4, 16, 64, 128, … Which statement describes the sequence? The sequence diverges. The sequence converges to 0. The sequence converges to [infinity]. The sequence converges to –[infinity].
Answer:
The sequence diverges
Step-by-step explanation:
The given sequence is 1, 4, 15, 64, 128, ...
By observation the sequence can be expressed as a sequence of 4 raised to increasing powers of 'x' as follows;
The sequence is 4ˣ, where; x = 0, 1, 2, 3, 4, ..., ∞
Therefore, the values of each subsequent term of the sequent is higher than the term it succeeds, the sequence does not converge to a given limit value and therefore, the sequence diverges.
simplify the following expression by combining like terms. select the most simplified expression: 2w +5w-6+4w
Answer:
Step-by-step explanation:
2w+5w-6+4w
=10w+4w-6
=14w-6
=2(7w-3)
Answer:
[tex]11w - 6[/tex]
Step-by-step explanation:
[tex]2w + 5w + 4w = 11w[/tex]
[tex]11w - 6[/tex]
What is the answer?
It says i should put it in the order and which one comes first
Answer:
B. -11
Step-by-step explanation:
ascending order means least to greatest.
-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7,...
3, -1, [tex]\sqrt{5}[/tex], 13, -11
-11 is the least number because it is the greatest negative number
The area of a rectangular window is 8526 cm?
If the length of the window is 98 cm, what is its width?
Answer:
87cm
Step-by-step explanation:
Length x width = area
98 x width = 8526
width=8526/98
width=87
Please help me with the question.
i need points srry
Step-by-step explanation:
NEED HELP 100 POINTS PLZZ
Replace the x with n:
f(n) = 2n+1
Feel free to mark it as brainliest :D
Answer:
Step-by-step explanation:
given f(x) = 2x + 1
f(n) = 2n + 1
by substitution: n replaces x in the eqn
sin + cose
If tan0 = 1 then, find the values of
sec 0 + cosec
Answer:
We know that:
Tan(x) = sin(x)/cos(x)
We know that:
Tan(θ) = 1 = sin(θ)/cos(θ)
we can rewrite this as:
sin(θ)/cos(θ) = 1
sin(θ) = cos(θ)
If you know the table of notable angles, the angle such that this is true is θ = 45°
sin(45°) = 1/√2 = cos(45°)
Now we want to find the value of:
sec(θ) + cosec(θ)
Where:
sec(θ) = 1/cos(θ)
cosec(θ) = 1/sin(θ)
And we already know the values of the sine and cosine function, then:
sec(45°) + cosec(45°) = 1/cos(45°) + 1/sin(45°) = 2*(1/( 1/√2)) = 2*√2
Then, given that:
Tan(θ) = 1
We can conclude that:
sec(θ) + cosec(θ) = 2*√2
HELP DUE IN 20 MINS!
Write the equation of the following circle:??
Answer:
its 9
Step-by-step explanation:
i pretty sure im right
simultaneous equation
2x+y=7
x-y=2
answer?
Answer:
{x,y} = {3,1}
Step-by-step explanation:
visit this for more info;
https://www.tiger-algebra.com/drill/2x_y=7;x-y=2/