Answer:
Step-by-step explanation:
There are 20 scores.
The median is 92 and first quartile is at 82 and below.
So, 88 is in 2nd quartile.
A seal went 15 below sea level to catch a fish. A sea lion dove 6 feet less than two times as deep as the seal to catch a larger fish. What expression represents the sea lion's position in relation to sea level?
Answer:
[tex]2\times 15-6 = 24\ below\ sea\ level[/tex]
Step-by-step explanation:
Given that:
Distance traveled by seal to catch the fish = 15 below sea level
Sea lion wanted to catch a larger fish so sea lion dove 6 feet lesser than two time the distance that the seal traveled.
To find:
The expression to represent the position of the sea lion in the sea.
Solution:
If the distance traveled by seal is represented by [tex]D[/tex] then as per the question statement:
Twice of [tex]D[/tex] = [tex]2\times D[/tex]
6 lesser than twice of [tex]D[/tex] = [tex]2\times D[/tex] - 6
Now, putting the value of [tex]D[/tex] = 15
Therefore, the expression to represent the sea lion's position w.r.to sea level.
[tex]2\times 15-6\\ = 24\ below\ sea\ level[/tex]
cos2x-cos 4x
lim
x-0 1-cos 2x cos 4x
After evaluating the limit we get the answer as 3/5.
Given the expression is : limₓ₋₋₎₀ cos 2x ₋ cos 4x/1-cos2xcos4x
= limₓ₋₋₎₀ cos2x - (2cos²2x ₋ 1)/1-cos2x(2cos²2x - 1)
= limₓ₋₋₎₀ -2cos² + cos2x +1/₋2cos³2x + cos2x + 1
let u =cos2x that is, u → 0
= limu₋₋₎₁ -2u²+u+1/₋2u³+u+1
= limu₋₋₎₁ 2u + 1/2u²+2u+1
= 2+1/2×1² + 2 × 1 +1
= 3/2+2+1
= 3/5
hence we get the value as 3/5.
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the perimeter of a jamaican flag is 90 inches. the length is twice its width. find the dimensions of the flag
Answer:
width = 15 inches
length = 30 inches
Step-by-step explanation:
Finding the dimensions of a rectangular flag:[tex]\sf \boxed{\text{\bf Perimeter of rectangle =2*length + 2*width}}[/tex]
Let width = x inches
Length = 2*x = 2x inches
Perimeter = 90 inches
2 *length + 2* width = 90
2*2x + 2*x = 90
4x + 2x = 90
Combine like terms,
6x = 90
Divide both sides by 6,
x = 90/6
x = 15
Dimensions:
Width = 15 inches
Length = 2*15 = 30 inches.
5 questions plzzzzzz answer!!
1. 3x+10=4
X=?
2. 3x-8=13
X=?
3. 12=8x+4
X=?
4. -1+2x=11
X=?
5. -7=-3-x
X=?
Answer:
1) -2
2) 7
3) 1
4) 6
5) 4
I need help with this
Answer:
(x-7, y+3)
Step-by-step explanation:
y+3 because the translated image goes up three
-you just have to count the dots.... its ez
WRITE THE EQUATION, IN THE FORM y=mx + b, that represents the line shown on the graph.
Answer:
y = 3/2x - 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Find points from graph.
y-intercept (0, -2)
Random Point (2, 1)
Step 2: Find slope m
Substitute [slope formula]: [tex]m=\frac{1+2}{2-0}[/tex]Add/Subtract: [tex]m=\frac{3}{2}[/tex]Step 3: Write equation
Substitute into General Form
y = 3/2x - 2
A rollercoasterbrises 210 feet into the air, drops 240 feet, rises 80 feet before dropping another 30 feet again. Finally the rollercoaster drops another 50 feet. What is the height of the rollercoaster after the last drop
Answer:
-30 feet
Step-by-step explanation:
What we know:
The rollercoaster first rose 210 feet, so after rise 1, the height is +210 feet.
After that, it dropped 240 feet. This is greater than the 210 feet it initially rose, so the number is now negative. The height is now -30 feet.
210 - 240 = -|240-210| = -|30| = -30 feet
After that, it rose another 80 feet. That outdoes the eariler -30 feet, so we're back to a positive height. After that rise, the height is now +50 feet.
-30 + 80 = |80 - 30| = |50| = 50 feet
Then the last two drops combine for a 80-foot drop. This is greater than the +50-foot height it was at, so we're back at -30 feet.
50 - 80 -|80 - 50| = -|30| = -30 feet after the last drop
Use the Discriminant to find the number and type of solutions to x^2 + 6x -5 = 4x^2
A 2 Real Solutions
B 1 Real Solution
C Real Solutions, 2 Imaginary Solutions
D 3 Solution
Answer:
The equation [tex]x^2 + 6x -5 = 4x^2[/tex] have 2 non-real solution, 2 imaginary solutions.
Step-by-step explanation:
Using the Discriminant to find the number and type of solutions to [tex]x^2 + 6x -5 = 4x^2\\x^2-4x^2+6x-5=0\\-3x^2+6x-5=0[/tex]
The discriminant is: [tex]b^2-4ac[/tex]
We have a = -3, b=6 and c=-5
Putting values and finding discriminant
[tex]b^2-4ac\\=(6)^2-4(-3)(-5)\\=36-60\\=-24\\[/tex]
So, we get discriminant = -24
if discriminant < 0 the solution will have two non-real imaginary solutions.
In our case discriminant < 0 i,e discriminant = -24
So, The equation [tex]x^2 + 6x -5 = 4x^2[/tex] have 2 non-real solution, 2 imaginary solutions.
Ok bet slovea customer comes in looking for items get started painting ariana offers her a paint pallet a paint brush and a sketch book she tells the customer that if she buys all three she will give her a 15% discount approximately how much would the coustmer save? Paint pallet cost 24.00 sketch book cost: 16.12 and paint brush costs 10.50
Answer:
Approximately what will be saved will be 8.00
Step-by-step explanation:
Here, we want to know the amount that the customer will save
Firstly, we need to know the amount that all will cost
Mathematically, that will be;
24 + 16.12 + 10.5 = 50.62
The amount to be discounted is 15% of this
That will be 15% of 50.62
= 15/100 * 50.62
= 7.593
This is very easy!!
Answer:
product
Step-by-step explanation:
hope it helps
Answer:
yesn't
Step-by-step explanation:
is y equals 3x + 2 proportional number or non proportional
Answer:
Non-proportional
Step-by-step explanation:
because it has a y-intercept of 2 in order for it to be proportional its y-intercept should be 0.
What is the value of x in the equation below?
29.46=13.82+4x
Answer:
x=3.91
Step-by-step explanation:
29.46=13.82+4x
13.82+4x=29.46
subtract 13.82 from both sides
4x=15.64
divide by 4
x=3.91
You can rent a bird scooter in Atlanta according to the function e(x)=0.15x+1.00 to unlock the scooter and $0.15 each minute to rent.
Let e(x) represent the total cost of the rental after x minutes.
a. interpret e(3)=1.45
b. find the e(10).
c. let e(x)-5.50. x=__
d. domain___ range___
Answer:
17.23
Step-by-step explanation:
Which equation has a solution of (-2,1)?
A. y=-2x+1
B. y=2x-1
C. y=-2x-3
D. y=2x+3
find the mean(average) of this set of data 100 400 20 40 30
Answer:
118
Step-by-step explanation:
(100 + 400 + 20 + 40 + 30)/5
= 590/5
= 118
Answer:
118
Step-by-step explanation:
100+400+20+40+30= 590
then 590/5= 118
What are the three methods to solve a system of linear equations?
Solve the following system:
y = 5x
3x + 2y = 52
Your answer:
After putting the value of y into the eq. (ii) ,
[tex] \sf 3x + 2 \times 5x = 52[/tex]
[tex] \sf ⇒ \: 3x + 10x = 52[/tex]
[tex]⇒ \sf13x = 52[/tex]
[tex] \sf ⇒x = 4[/tex]
After putting the value of x into the eq. (1)
[tex] \sf \: y = 5 \times 4[/tex]
[tex]⇒ \sf y = 20[/tex]
Hence, the value of x is 4
& the value of y is 20.
In the diagram find the mZEFG.
A)
20 degrees
B)
30 degrees
C
40 degrees
D)
80 degrees
HELPPPPP
Mr. Seidel filled up his 14-gallon gas tank for $44.26. What was the price per gallon of gas - to the nearest hundredth?
Answer:
$3.616
Step-by-step explanation:
Need help with this ASAP I accidentally put the second one but just ignore that
Answer:
it's A
Step-by-step explanation:
jsushskzhsonssjksjzisnsnsjs
Answer:
A: (3/5, 0)
Step-by-step explanation:
y = 3 - 5x
-5x = y - 3
x = -y/5 + 3/5
Damian has a balance of $10,200 on his credit card. He threw the card away so he can never use it again. He has 3 1/2 years to pay off the balance. The interest rate on his card is 21%. At the end of the 3 1/2 years, how much interest has he paid?
Answer:
the interest that have to paid is $9,676.91
Step-by-step explanation:
The computation of the interest to be paid is as follows:
= Future value - initial value
= $10,200 × (1 + 0.21)^3.5 - $10,200
= $19,876.91 - $10,200
= $9,676.91
Hence, the interest that have to paid is $9,676.91
We simply applied the above formula so that the correct value could come
And, the same is to be considered
What is the domain of the given function?
(-1, 1), (0, -2), (1, 3), (3, 0)
A. {0, 1, 2, 3}
B {-2,0, 1, 3}
C {-1, 0, 1, 3}
D (-2,-1, 0, 1, 2, 3}
Answer: i think it is A pls correct me if i'm wrong :)
Step-by-step explanation:
Easy Question
Easy Answer
-------------------
Find & Explain Mistake
Answer:
added 9dollar inestend of 9.5%
Step-by-step explanation:
Cecile packages snack mix at a health food store. She uses 13 of her supply of sunflower seeds to make a salted snack mix and 29 of her supply to make an unsalted snack mix. If Cecile uses 10 pounds of sunflower seeds, how many pounds of seeds are in her supply? 18 pounds 23 pounds
Given:
Cecile uses [tex]\dfrac{1}{3}[/tex] of her supply of sunflower seeds to make a salted snack mix and [tex]\dfrac{2}{9}[/tex] of her supply to make an unsalted snack mix.
Cecile uses 10 pounds of sunflower seeds.
To find:
The total pounds of seeds in her supply.
Solution:
Let x be the total pounds of seeds in her supply.
Cecile uses [tex]\dfrac{1}{3}[/tex] of her supply of sunflower seeds to make a salted snack mix, i.e., [tex]\dfrac{1}{3}x[/tex].
Cecile uses [tex]\dfrac{2}{9}[/tex] of her supply to make an unsalted snack mix, i.e., [tex]\dfrac{2}{9}x[/tex].
Total sunflower seeds used = 10 pounds.
[tex]\dfrac{1}{3}x+\dfrac{2}{9}x=10[/tex]
[tex]\dfrac{3x+2x}{9}=10[/tex]
[tex]5x=10\times 9[/tex]
[tex]5x=90[/tex]
Divide both sides by 5.
[tex]x=18[/tex]
So, there are 18 pounds of seeds in her supply.
Therefore, the correct option is A.
Sergio’s job is just a few bus stops away from his house. While it can be faster to take the bus to work, it’s more variable, because of variations in traffic. He estimates that the commute time to work by bus is approximately Normally distributed with a mean of 12 minutes and a standard deviation of 4 minutes. The commute time if he walks to work is also approximately Normally distributed with a mean of 16 minutes with a standard deviation of 1 minute. What is the probability that the bus will be faster than walking?
9514 1404 393
Answer:
A. 0.8340
Step-by-step explanation:
The mean difference between walking time and bus time is the difference of their means: 16 -12 = 4 minutes.
The variance of the difference between walking time and bus time is the sum of the variances of the two distributions:
(4 min)² +(1 min)² = 17 min²
Then the probability that walking will be slower is the probability that the difference is greater than 0.
P(dif > 0) = P(Z > (0 -4)/√17) = P(Z > -0.970143)
P(dif > 0) ≈ 0.8340
The probability the bus will be faster is about 0.8340.
Which of the following exponential functions has a horizontal asymptote at y = –2 ? f (x) = 2(–x + 2) f (x) = 2(–x – 2) f (x) = –2x + 2 f (x) = –2x – 2
An exponential function with a horizontal asymptote at y = -2 will be of the form:
f(x) = 2^(-x) - 2
Which of the following exponential functions has a horizontal asymptote at y = -2?An exponential equation will have a horizontal asymptote when the exponent, x, has a negative sign. This will cause that as x tends to infinity, the exponential part of the function will tend asymptotically to zero.
Now, if we want to have an horizontal asymptote at y = -2, then we also need to have a constant term equal to -2 which takes weight as x tends to infinity, and the other part of the function becomes almost zero.
So the function will be something like:
f(x) = 2^(-x) - 2
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the exponential function that has a horizontal asymptote at y = –2 is
D. f (x) = –2x – 2
100% correct
Three of the following representations match while one does not. Which one is incorrect? How could the student correct it? DESCRIPTION EQUATION At Sherri's Sundae Shop, customers pay $4 for a bowl of ice cream plus $0.20 per topping. y = .25x + 4 SHERRI'S SUNDAE SHOP TOPPINGS TOTAL COST (S) 1425 2 $4.50 TOTAL COST (S) 3 $4.75 4 $5.00 5 15.25 $5.50 TOPPINGS TABLE GRAPH
Answer:
Description
Step-by-step explanation:
.20(8)+4=5.6
on the graph the point is (8,6)
.25(8)+4=6
I’m not sure if this is correct or not !!!!!!!!!! Please HELP !!!!!! I will mark Brianliest !!!!!!
Answer:
CORRECT!!!!!!!!!
Step-by-step explanation:
Answer:
Your right!
(づ￣ 3￣)づ
I hope this helps! (❤´艸｀❤)
HELP HELP HELP Please
Answer:
y = 2x², 0, 2, 8
y = 2^x, 1, 2, 4
Step-by-step explanation:
For the first equation, multiply the input by itself and then multiply by two
y = 2x²
y = 2(2)²
y = 2(2*2) = 8
For the second equation, multiply 2 by itself depending on the value of the input
y = 2^x
y = 2²
y = 2 * 2 = 4
87/2 in its simplest form