Answer:
-0.4k + 14
Step-by-step explanation:
hope that helped!
The price of a 7 -minute phone call is $1.75. What is the price of a 14 -minute phone call?
Answer:
$3.50
Step-by-step explanation:
14 is double 7
So the price should be double
1.75 x 2 = 3.5
(Assuming there's no base fee and the charge is purely for minutes)
There were 400 people at a concert. Half of them wore yellow T-shirts, 2/10 wore gray T-shirts, and the rest wore orange T-shirts. How many people wore gray T-shirts?
Answer:
80 ppl have gray T-shirts
Step-by-step explanation:
Hope this helps! :3
Plz mark as brainliest!
This is finding exact values of sin theta/2 and tan theta/2. I’m really confused and now don’t have a clue on how to do this, please help
First,
tan(θ) = sin(θ) / cos(θ)
and given that 90° < θ < 180°, meaning θ lies in the second quadrant, we know that cos(θ) < 0. (We also then know the sign of sin(θ), but that won't be important.)
Dividing each part of the inequality by 2 tells us that 45° < θ/2 < 90°, so the half-angle falls in the first quadrant, which means both cos(θ/2) > 0 and sin(θ/2) > 0.
Now recall the half-angle identities,
cos²(θ/2) = (1 + cos(θ)) / 2
sin²(θ/2) = (1 - cos(θ)) / 2
and taking the positive square roots, we have
cos(θ/2) = √[(1 + cos(θ)) / 2]
sin(θ/2) = √[(1 - cos(θ)) / 2]
Then
tan(θ/2) = sin(θ/2) / cos(θ/2) = √[(1 - cos(θ)) / (1 + cos(θ))]
Notice how we don't need sin(θ) ?
Now, recall the Pythagorean identity:
cos²(θ) + sin²(θ) = 1
Dividing both sides by cos²(θ) gives
1 + tan²(θ) = 1/cos²(θ)
We know cos(θ) is negative, so solve for cos²(θ) and take the negative square root.
cos²(θ) = 1/(1 + tan²(θ))
cos(θ) = - 1/√[1 + tan²(θ)]
Plug in tan(θ) = - 12/5 and solve for cos(θ) :
cos(θ) = - 1/√[1 + (-12/5)²] = - 5/13
Finally, solve for sin(θ/2) and tan(θ/2) :
sin(θ/2) = √[(1 - (- 5/13)) / 2] = 3/√(13)
tan(θ/2) = √[(1 - (- 5/13)) / (1 + (- 5/13))] = 3/2
Divide four people into three rooms, in which only one room could host two people. How many ways are there to arrange them so that A, B are not in the same room
Step-by-step explanation:
AC B D
AD B C
A BC D
A BD C
hope it's right
What is the equation in slope-intercept form for the line that passes
through the points (1, 2) and (3, 4)?
There is a line whose slope is 2 and whose slope is 2 and whose y- intercept is 8. What is its equation in slope-intercept form?
5) Express as a single logarithm. You do NOT need to expand the polynomials:
5 In(x - 2) + 8 In(x + 3) - 3 ln(x + 8)
5 ln(x - 2) + 8 ln(x + 3) - 3 ln(x + 8)
ln(x - 2)⁵ + ln(x + 3)⁸ - ln(x + 8)³
since [tex]a\log_cb=\log_cb^a[/tex] (for any base c)
ln((x - 2)⁵ (x + 3)⁸ / (x + 8)³)
since [tex]\log_c(a)+\log_c(b)=\log_c(ab)[/tex] and [tex]\log_c(a)-\log_c(b)=\log_c\frac ab[/tex] (also for any base c)
Please help I need an equation for this graph
HELP ASAP EASY MATH ***25 Points
What is the slope of the line passing through the points (-1, 3) and (4, – 7)?
A. -2
B. 3/4
C. -4/3 (1 1/3)
D. 2
Just check if these answers are right?
Answer: I pretty sure they are all right
Step-by-step explanation:
Need help, I’ll give brainliest if correct.
A football team won 75% of 120 games in a season. How many games is that?
Answer:
90 games
Step-by-step explanation:
Of the 120 games the football team played, they won 75% of them.
Remember that in mathematics, "of" almost always means to multiply. Here, that means we must multiply 75% by 120:
75% * 120
Remember also that % just means divided by 100, so 75% = 75 / 100. So:
75% * 120 = (75/100) * 120 = 9000/100 = 90 games
One box has 16 apples another box has 24 lemons.
Answer:
Like the other person said there's 40 apples.
Step-by-step explanation:
but is there more to the question or..?
Ford Motor Company decided against building a new plant in California because of the high cost of taxes. The state of California proposed an assessment rate of 52% of the estimated market value of the plant. The tax rate proposal was $233.00 per $1,000 of assessed value. What would Ford Motor pay in property taxes per year if it decided to build a $25 million plant?
Answer:
$5825000
Step-by-step explanation:
You just take 23.3% of the 25 million dollars silly.
please graph (-5,2) thank you
Answer:
I hope this helps!!!
Step-by-step explanation:
I HAVE A QUESTION.. so on 8 and 9, do I keep it addition or do I put it as subtraction? ALSO I NEED HELP ON 13 AND 14
Step-by-step explanation:
question 8 answer = -4
questions 9 answer = -18
pls mark my answer as brainlist plzzzz vote me also
What is the result of 122÷8? Use the number line to find the answer
A: 7
B:14
C:16
D:28
Please help!
Answer: I would go towards B
Step-by-step explanation:
122/8 = 15.25
This is more towards 15, so put the dot in the middle of 14 and 16
A student polls his school to see if students in the school district are for or against the new legislation regarding school uniforms. She surveys 600 students and finds that 480 are against the new legislation.
Required:
a. Compute a 90% confidence interval for the true percent of students who are against the new legislation and interpret the confidence interval.
b. In a sample of 300 students, 68% said they own an iPod and a smart phone. Compute a 97% confidence interval for the true percent of students who own an iPod and a smartphone.
Solution :
68 % of the students owns iPod and a smart phone. So
p' = 0.68
q' = 1'
= 1 - 0.68
= 0.32
Since CL = 0.97, we know that [tex]$\alpha = 1 - 0.97 = 0.03 $[/tex]
The area to the left of [tex]$z_{0.015}$[/tex] is 0.015 and the area to the right of [tex]$z_{0.015}$[/tex] is [tex]$1 - 0.015 = 0.985 $[/tex]
Thus using [tex]$TI \ 83, 83+ \ or \ 84+$[/tex] calculator function [tex]$\text{InvNorm} (0.985, 0.1), z_{0.015} = 2.17$[/tex]
[tex]$\text{EBP} = z_{\alpha / 2} \times \left( \sqrt{\frac{p'q'}{n}}\right) $[/tex]
[tex]$\text{EBP} = 1.645 \times \sqrt{\frac{0.68 \times 0.32}{300}} $[/tex]
= 0.0269
Therefore, we are ninety seven percent confident that a true proportion of all the students who has iPod as well as a smart phone is between the 0.6531 and 0.7069
a). (0.7731, 0.8269); We estimated that with 90% confidence, the true percentage of all the students in district who are against a new legislation is between 77.31% and 82.69%.
b). Now,
Press the 'STAT' and then arrow over to perform TEST.
Now arrow down to the A:1 - PropZint and then place Enter.
Arrow a down x and then enter the 300 x 0.68
Similarly arrow a down to given n and then enter the 300
Now arrow down to the C-level and the enter the 0.97
Arrow a down for calculating and press the enter button.
The confidence interval is (0.6531, 0.7069)
a). (0.7731, 0.8269); We estimated that with 90% confidence, the true percentage of all the students in district who are against a new legislation is between 77.31% and 82.69%.
Megan cut a string into 4 equal pieces. Each piece is 4 fifths of a foot long. How many feet long was the string before Megan cut it? Enter your answer as a mixed number in the solution box.
Answer:
3 1/5 feetStep-by-step explanation:
Let the length of the string be x:
x/4 = 4/5 x = 4*4/5x = 16/5x = 3 1/5 feetJemima receives £5 pocket money
she spends £1.75 on a magazine and 80p on a drink
a)what fraction of the pocket money is spent
b)what fraction of the pocket money does she have left
Answer:
51% of the money was spent, that is, 51/100. In conclusion, Jemina still has 49/100 of the money available.
Step-by-step explanation:
Since Jemima received $ 5 in pocket money, and spent $ 1.75 on a magazine and $ 0.80 on a drink, to determine the proportion of money he spent and the proportion he has left, the following calculation must be performed:
5 - (1.75 + 0.80) = X
5 - 2.55 = X
2.45 = X
5 = 100
2.55 = X
(2.55 x 100) / 5 = X
255/5 = X
51 = X
Therefore, 51% of the money was spent, that is, 51/100. In conclusion, Jemina still has 49/100 of the money available.
Find the length of BC
Answer:
BC=26.05
Step-by-step explanation:
by tan(X) rule
tan(61)=47/BC
BC= 47 / tan(61)
BC=26.05
Answer:
BC = 26.05Step-by-step explanation:
Given Information :
Hypotenuse : Not given
Opposite : 47
Adjacent : BC
Angle ( θ) = 61°
Using SOHCAHTOA
[tex]Tan\: \theta = \frac{Opposite}{Adjacent} \\\\Tan \: 61 = \frac{47}{BC} \\\\1.804 = \frac{47}{BC}\\\\Cross\:Multiply\\1.804BC= 47\\\\Divide\:both\:sides\:by\:1.8 \\\\\frac{1.804BC}{1.804} = \frac{47}{1.804} \\\\BC= 26.05[/tex]
Help, I’ll give brainliest if you tell me what like terms and terms are.
Answer:
Step-by-step explanation:
7x + 6 + 5
six and five both are regular numbers but the 7x is not like term
7x + 11
3r + 6y - 2z = -6 2x + y + 4z = 19 -5x - 2y+8z = 62
solve each system of equations
Again I need help, sorry but thank you!
Answer:
B)13 pints
Step-by-step explanation:
SO first we find the unit rate
We know that in 90 minutes (hour and a half), the water leaked 6 pints form 2;30 to 4
Now So we can divide to find unit rate
6/90=1/15
So 1 pint for every 15 minutes
And now we want to know the amount it takes from 2:30 to 6:30 which is 4 hours
40 hours is 240 minutes
SO we can divide now
240/15=16
SO 16 pints leaked but the question asked for remaining water in container
So 29-16 is 13
So B)13
If logx= -2, what is x?
A scuba diver descends 0.75 meters per second. What is her change in elevation after 25 seconds?
-25.75 meters
-50.00 meters
-18.75 meters
-100 meters
Answer:
-18.75 Meters
Step-by-step explanation:
0.75 x -25 = -18.75 Meters :D
2500 freshmen took an Algebra test through North Carolina Virtual Public school.The
scores were distributed normally with a mean of 75 and a standard deviation of 7.
How many algebra students scored between 68 and 82?
A. 2000
B. 1950
C. 1700
D. 680
2 plus 2 and 45 plus 68
Answer:
117
Step-by-step explanation:
Answer:
117
Step-by-step explanation:
2+2=4
45+68=113
113+4=117
linear or nonlinear
x 1 2 3 4
y 1 8 27 64
What is 4708.06 rounded up to the nearest thousandths?
Answer:
4708.060
Step-by-step explanation:
The third place after the decimal is the thousands place, so there is nothing to change considering we do not know anything after the six. If a number after the number after six was 5 or higher, it would be 4708.007 :)