There are 3200 students at Lake High School and 310 of these students are sophomores. If 38 of the sophomores are in favor of the school forming a crew team and 34 of the remaining students (not sophomores) are also in favor of forming a crew team, how many students are opposed to this idea?
Answer: 3128 students
Step-by-step explanation:
Total no of students in the school : 3200
No of sophomores in favor of the school forming a crew team : 38
No of the remaining students in favor of forming a crew team : 34
Total students in favor of forming a crew team = 38+34= 72
No of students against it : Total students - Students in favor
= 3200-72 = 3128 students
through: (-4,-1) and ( -1,2) ?
(A) y=-x+3.
(B)y=4x+3
(X) y=5x+3
(E)y=x+3
(D)y=3x+1
Answer:
(E) [tex]y=x+3[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis).
1) Determine the slope (m)
[tex]m=\displaystyle \frac{y_2-y_1}{x_2-x_1}[/tex] where two points that fall on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (-4,-1) and ( -1,2):
[tex]m=\displaystyle \frac{2-(-1)}{(-1)-(-4)}\\\\m=\displaystyle \frac{2+1}{-1+4}\\\\m=\displaystyle \frac{3}{3}\\\\m=1[/tex]
Therefore, the slope of the line is 1. Plug this into [tex]y=mx+b[/tex]:
[tex]y=1x+b\\y=x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=x+b[/tex]
Plug in one of the given points and solve for b:
[tex]2=-1+b\\2+1=b\\3=b[/tex]
Therefore, the y-intercept of the line is 3. Plug this back into the original equation:
[tex]y=x+3[/tex]
I hope this helps!
Without using logarithm tables, find value of x in the equation:
log x³+ log5x =5log2-log⅖
Answer:
[tex]x =2[/tex]
Step-by-step explanation:
Given
[tex]\log x\³+ \log5x =5\log2-\log\frac{2}{5}[/tex]
Required
Find x
We have:
[tex]\log x\³+ \log5x =5\log2-\log\frac{2}{5}[/tex]
Apply exponent rule
[tex]\log x\³+ \log5x =\log2^5-\log\frac{2}{5}[/tex]
[tex]\log x\³+ \log5x =\log32 -\log\frac{2}{5}[/tex]
Apply product and quotient rules of logarithm
[tex]\log (x\³* 5x) =\log(32 \div \frac{2}{5})[/tex]
[tex]\log (5x^4) =\log(80)[/tex]
Cancel log on both sides
[tex]5x^4 = 80[/tex]
Divide by 5
[tex]x^4 = 16[/tex]
Take 4th roots of both sides
[tex]x =2[/tex]
5 a + 3 b + 2 a b + 4 a -7 b
Answer:
5a+4a=9a
3b-7b=-4b
2ab
=9a-4b+2ab or 2ab+9a-4a
Step-by-step explanation:
Calculate liked terms
Will Give Brainliest!
Solve for r.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
35r - 21 < -35r + 19
Answer:
r < 4/7
Step-by-step explanation:
35r - 21 < -35r + 19
35r + 35r < 19 + 21
70r < 40
r < 4/7
Answer:
r < 4/7
Step-by-step explanation:
If [ -2 5 7 6] and |B| = -|A|, which matrix is matrix B?
|A| and |B| denote the determinants of the matrices A and B.
We have
[tex]|A| = \begin{vmatrix}-2&5\\7&6\end{vmatrix} = (-2)\times6-7\times5 = -12 - 35 = -47[/tex]
Then B is a matrix such that |B| = -|A| = +47.
The only choice satisfying this is C, since
[tex]\begin{vmatrix}12&1\\13&5\end{vmatrix} = 12\times5-13\times1 = 60 - 13 = 47[/tex]
The receipt shows the prices of goods that Mr. Baker bought at the store.
The state Mr. Baker lives in has a sales tax rate of 7% on all purchases.
How much money does Mr. Baker pay in sales tax and what is the total amount he must pay for his purchases?
Answer:
The answer is $82.46 sales tax
$1,260.46 Total
Step-by-step explanation:
Since the price before the Sales tax is $1,178.00 and if you add the 7% Sales tax the total is $1,260.46 and the price of the Sales tax is $82.46
who can help me PLEASE
Instruction find the measure of the missing angles in the kite
Both the angles will be 105°
Just add up the given angles, subtract the result by 360, and divide by 2.
The 12th term of the arithmetic sequence is 10.5. The 18th term of this sequence is 13.5. Find the common difference and the first term
Answer:
common difference is 0.5
first term is 5
Step-by-step explanation:
use the formula for the nth term of an ap Tn=a+(n-1)d
T12=10.5
T18=13.5
therefore come up with two equations
T12=a+(12-1)d
10.5=a+11d(1st equation)
T18=a+(18-1)d
13.5=a+17d(2nd equation)
then solve both as a simultaneous equation
a+11d=10.5
a+17d=13.5
-6d/-6=-3/-6
d=0.5
use one of the equations to find the first term
a+11(0.5)=10.5
a+5.5=10.5
a=10.5-5.5
a=5
I hope this helps
please mark as brainliest
Find the value of x.
PLEASE HELP ASAP!!!!!!
Answer:
does it want the degree????
When Jonathan runs the 400 meter dash, his finishing times are normally distributed with a mean of 88 seconds and a standard deviation of 2.5 seconds. If Jonathan were to run 48 practice trials of the 400 meter dash, how many of those trials would be between 89 and 91 seconds, to the nearest whole number?
Answer:
3.18%
2 between 89 91
Step-by-step explanation:
*Probability-Between 3.18%
Z1=0.04 Z2=0.12
x-1 89
x-2 (not required) 91
µ 88
σ 25
Review the table of values for function f(x).
Which number is the value of f^-1(-2)?
O -8
O -7
O 1/8
O 1
Answer:
1/8
Step-by-step explanation:
f^-1 part makes it into a fraction
Trash-A-Way charges $25 per month with an additional $0.25 per pound of trash that they pick up from your house. Garbage-No-More charges a flat fee of $45 per month. Write a system of equations to represent each plan. How many pounds of trash would make the two plans equal?
Answer:
look at the explanation
Step-by-step explanation:
Write an equation:
Trash a way : $25 + 0.25x
Garbage No More : $45 per month
so to make them equal we need to have enough trash in Trash A Way that it equals $45
25 + 0.25x =45
0.25x = 20
x = 80
So, you need to have 80 pounds of trash to make them equal
hope this helps!
please vote and heart!
Target has batteries on sale. Keylen purchased 8 batteries for $5.92. What is the unit price?
Publix has navel oranges on sale for $1.89 per pound. Zander purchases 2.7 pounds of oranges. What is the total cost that he will pay for the oranges?
Answer:
the batteries are 74 cents and oranges are 5.10
Step-by-step explanation:
for the first one just divide 5.92 by 8 to get the unit price
and for the second multiply 2.7 by 1.89
please answer this question!
Answer:
<A = 51
Step-by-step explanation:
Since AB = AC ( shown by the lines on the sides) we know that this is an isosceles triangle
Since the sides are the same, the base angles are the same
<A = <C
<C = 51 so <A = 51
Is the answer option c?
Answer:
yes
Step-by-step explanation:
f(x) = x^2 -1
Hope it helps!!
(-2 1/2) to the second power
Answer:
6.25
Step-by-step explanation:
[tex](-2\frac{1}{2})^2\\\\(-\frac{5}{2} )^2\\\\(\frac{5}{2})^2\\\\\frac{5^2}{2^2}\\\\\frac{25}{4}\\\\\boxed{6\frac{1}{4}}\text{ or } 6.25[/tex]
Hope this helps.
find the value of x in the diagram below
Answer:
70
Step-by-step explanation:
In a trapezoid lines are parallel, so corresponding angle sum = 180
X+X+40 = 180
2x + 40 = 180
2x = 180-40
2x = 140
X = 140/2
X = 70
Answered by Gauthmath
help me u guys i really neeed help.
Answer:
Q, quadrant 4
Step-by-step explanation:
Answer:
The letter is Q
And the quadrant is (x,-y) i.e quadrant no. 4
Step-by-step explanation:
Instructions: Find the value of the trigonometric ratio. Make sure to
simplify the fraction if needed.
С
32
40
B
24
A
Tan C =
Answer:
tanC will be given by the opposite over the adjacent
tanC=24/32
simplified to 6/8
I hope this helps
What is the range of the function?
Answer:
all real numbers greater than or equal to 11
15.
Identify a transformation of the function ƒ(x) = x by observing the equation of the function g(x) = x – a.
A horizontal shift a units to the right.
A vertical shift a units downward.
A horizontal shift a units to the left.
A vertical compression by a factor of 1/a.
Answer:
A horizontal shift a units to the right.
Step-by-step explanation:
f(x) =x, is a line with the the x-intercept at (0,0)
g(x) = x-a, is a line that has the same slope as line f(x) , yet has a x-intercept at (a,0) the line moved a units to the right
10x2y+40x2−2xy3−8xy2 factories this expression
Answer:
2(10y + 40 -11xy)
Step-by-step explanation:
First, multiply the expression
20y +80 -6xy - 16xy
Then collect like terms
20y + 80- 22xy
And then lastly factories the expression
2( 10y + 40- 11xy )
You are standing 186 feet away from the base of a building and your clinometer
measures 23° when it's looking at the top of the building. (This angle is the one between
the ground and the top of the building). Please calculate the height of the building.
9514 1404 393
Answer:
about 79 ft
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
In this scenario, the angle is 23°, the adjacent side is the distance to the building, and the opposite side is the building height. Then we have ...
height = tan(23°)·(186 ft) ≈ 78.95 ft ≈ 79 ft
This is my last problem guys please help me
Answer:
Step-by-step explanation:
a) 9.5 feet above the ground
b) max height at of 34.5 feet 5 feet horizontal distance
c) 10.87 feet away
Help anyone can help me do this question,I will mark brainlest.
Answer:
22 mm
Step-by-step explanation:
HURRY PLEASE
1 To join the school swim team, swimmers must be able to swim at least 500 yards without stopping. Let n represent the number of yards a swimmer can swim without stopping. Write an inequality describing which values of n will result in a swimmer making the team.
Answer:
n = ≥500
Step-by-step explanation:
They must be able to swim 500 yards or more.
Out of the 14641 times Voldemort has brushed his teeth, only 5/11 of the time did he floss immediately beforehand. How many times total has Voldemort NOT flossed right before brushing his teeth?
In this question, we want to find a fraction of a value, which is found multiplying the fraction by the value.
Information:
Voldemort has brushed his teeth 14641 times.
5/11 of the time, he has flossed immediately beforehand.
[tex]1 - \frac{5}{11} = \frac{6}{11}[/tex] of the time, he has NOT flossed immediately beforehand.
How many times total has Voldemort NOT flossed right before brushing his teeth?
6/11 out of 14641, so:
6*14641/11 = 7986.
Thus, Voldemort has NOT flossed right before brushing his teeth 7986 times.
For another example with a fraction of a value, you can check https://brainly.com/question/5501130
Lord Voldemort did not floss his teeth 7986 times.
According to this question, we know the following two facts:
1) Lord Voldemort has brushed his teeth 14641 times.
2) He flossed his teeth beforehand only [tex]\frac{5}{11}[/tex] of the time.
There, he did not floss his teeth [tex]\frac{6}{11}[/tex] of the time and the total number of time that he did not floss is obtained by multiplicating the total number of times that he brushed his teeth and the rational number deducted at the beginning of the paragraph. That is to say:
[tex]x = \left(\frac{6}{11} \right)\cdot (14641)[/tex]
[tex]x = 7986[/tex]
Lord Voldemort did not floss his teeth 7986 times.
pls somebody help me wth this
Answer:
8 puzzles, and 840 pieces
Step-by-step explanation:
420 / 4 = 105
630 / 6 = 105
Option 2 is the correct answer,
Reason
840 / 8 = 105
Given the growth/decay percentage, determine the multiplier.
1) 5% Growth
2) 12% Decay
4) 0.85% Decay
3) 200% Growth
The multiplier is 1 + growth percentage or 1- decrease percentage rage.
1) 1 + 5% = 1.05
2) 1-12% = 0.88
3) 1-0.85% = 0.9915
4) 1 + 200% = 3
