Answers
no. of right answers = 60
no. of wrong answers = 40
Related Questions
Create your own proportion problems?
Answers
Answer:
See Explanation
Step-by-step explanation:
Required
Proportion problems
An example is:
y is directly proportional to x such that: y=4 when x = 2;
Derive the equation
For direct proportions, we have:
[tex]y\ \alpha\ x[/tex]
This gives:
[tex]y = kx[/tex]
Make k the subject
[tex]k = y/x[/tex]
So:
[tex]k = 4/2 =2[/tex]
So, the equation is:
[tex]y = kx[/tex]
[tex]y = 2x[/tex]
Assume the above question is for inverse proportion
The variation will be:
[tex]y\ \alpha\ \frac{1}{x}[/tex]
This gives:
[tex]y\ = \frac{k}{x}[/tex]
Make k the subject
[tex]k =x*y[/tex]
[tex]k =2* 4 = 8[/tex]
So, the equation is:
[tex]y\ = \frac{k}{x}[/tex]
[tex]y = \frac{8}{x}[/tex]
on a piece of paper graph y=-2x^2+10x-12 and identify the zeros. Select the choice that matches the graph that you drew and correctly identifies the zeros
Answers
Answer:
C. 2 and 3 opens down
Step-by-step explanation:
see graph
i need helpp !!!!!!!!!!!
Answers
Answer:
In descending order, 1, 4, 3
Sam takes a job with a starting salary of $50,000 for the first year. He earns a 4% increase each year. Which expression gives the partial sum, S3, (in thousands)?
Answers
Sam takes a job with a starting salary of $50,000 for the first year. He earns a 4% increase each ear.
Write each expression that gives the partial sum.
Representation:
The given statement can be written as,
Total Money = Starting Salary( 1 + rt)
t = number of years.
r = rate
Total Money = $50,000( 1 + 0.04(t))
Final answer:
Total Money = $50,000( 1 + 0.04(t))
Say you buy halibut at $19 per pound . One portion of seared halibut requires 6 ounces of halibut . How much does the halibut for one portion cost ? Round to the nearest cent .
Answers
Answer:
$7.13
Step-by-step explanation:
Given data
Cost of halibut per pound= $19
Let us convert pound to ounces first
1 pound = 16 ounces
Hence 16 ounces will cost $19
6 ounces will cost x
cross multiply we have
x= 19*6/16
x=114/16
x=$7.13
Hence 6 ounces will cost $7.13
(b) Two fair dice are tossed, and the up face on each die is recorded. Find the probability of
observing each of the following events:
A: (A 4 does not appear on either die)
B: The difference of the numbers is 2 or less)
(The sum of the numbers is odd)
P(A) =
(07 Marks)
(
P(B)
(07 Marks)
G)
(07 Marks)
ses
P(C)
Answers
Answer:
50% chance
Step-by-step explanation:
lol math go brrr
Is the collection og rall " student in set ? why ? class7
Answers
Answer:
in secret
Step-by-step explanation:
correct answer is in a secret
15/4 : 5/12 =
tolong dijawab ya :)
Answers
Answer:
3/1 : 1/3
Step-by-step explanation:
Just simplify it.
Consider this function. f(x)-3x+3. Which graph represents the inverse of function f?
Answers
9514 1404 393
Answer:
graph Y
Step-by-step explanation:
The inverse function can be found by solving ...
x = f(y)
x = -3y +3
x -3 = -3y . . . . . subtract 3; next, divide by -3
y = -1/3x +1 . . . . . matches graph Y
_____
Additional comment
Writing the original equation in standard form can help you see its intercepts.
3x +y = 3
3x = 3 ⇒ x = 1 . . . . x-intercept (at y=0)
y = 3 . . . . y-intercept (at x=0)
The inverse function has the x- and y-intercepts swapped, so you're looking for a line through (0, 1) and (3, 0). The lower left graph (Y) is that graph.
Ben starts walking along a path at 3 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 7 mi/h. How long (in hours) will it be before Amanda catches up to Ben?
Enter the exact answer.
Hint: The distance formula is that distance = rate * time, so for example in one and a half hours, Ben has walked 3 * 1.5 miles.
Amanda catches up to Ben in ____________ hours.
Answers
Answer:
1.125 hours
Step-by-step explanation:
Given :
Ben's speed = 3 mi/hr
Time before Amanda starts = 1.5 hours
Amanda's speed = 7 mi/hr
Time before Amanda catches up with Ben
Recall :
Distance = speed * time
Distance already covered by Ben before Amanda starts :
(3 * 1.5) = 4.5
Hence, we can setup the equation :
Ben's distance = Amanda's distance
Let time taken = x
4.5 + 3x = 7x
4.5 = 7x - 3x
4.5 = 4x
x = 4.5 / 4
x = 1.125 hours
1.125 * 60 = 67. 5 minutes
find the first 3 terms of the sequence below.
Answers
Answer:
Step-by-step explanation:
1 - 8
2 - 14
3 - 22
Answer:
8,14,22
Step-by-step explanation:
Tn = n^2 +3n +4
n=1
= 1^2 +3(1) +4
= 1 +3+4
= 8
n=2
= 2^2 +3(2) +4
= 4 +6+4
= 14
n=3
= 3^2 +3(3) +4
= 9 +9+4
= 22
sec theta root under 1- cos square theta = tan theta
Answers
Answer:
Step-by-step explanation:
012345678910
'yl\f[pt;]p;d[k;ell-=;q'[;
Answer:
see explanation
Step-by-step explanation:
Assuming you mean
secθ × [tex]\sqrt{1-cos^20}[/tex]
= [tex]\frac{1}{cos0}[/tex] × sinθ [ sin²θ + cos²θ = 1 , so sinθ = [tex]\sqrt{1-cos^20}[/tex] ]
= [tex]\frac{sin0}{cos0}[/tex]
= tanθ
= right side , thus verified
Mary Katherine has a bag of 3 red apples , 5 yellow apples and 4 green apples , Mary takes a red apples out of the bag and does not replace it. What is the probability that the next apple she takes out is yellow
Answers
Answer:
5/11.... you put the 5 which is yellow over the others which is 12 but remember she removed 1 so it would be equal to 11
Answer:
ok so if she takes a red apple out that means
2 red
5 yellow
4 green
11 in total
so 5/11
The answer is D
Hope This Helps!!!
4x-1,9x-1,7x-3 find the perimeter
Answers
20x-5
Answer:
Solution given;
perimeter=sum of all sides
=4x-1+9x-1+7x-3=20x-5
The perimeter of the line segments 4x - 1, 9x - 1, and 7x - 3 is 20x - 5.
To find the perimeter of the given line segments, you need to add up the lengths of all the line segments.
The lengths of the line segments are:
4x - 1,
9x - 1,
7x - 3.
To find the perimeter, add these lengths together:
Perimeter = (4x - 1) + (9x - 1) + (7x - 3)
= 4x + 9x + 7x - 1 - 1 - 3
= 20x - 5.
Therefore, the perimeter of the line segments 4x - 1, 9x - 1, and 7x - 3 is 20x - 5.
To learn more on Perimeter click:
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Which would result in a lower price to first discount an item by 10% and then by a further 15%, OR to first discount an item by 15% and then by a further 10%. Justify your reasoning.
Answers
Answer:
Neither one. They will both result in the same price.
Step-by-step explanation:
To discount an item 10%, you charge 90% of the price of the item. To find 90% of a price, you multiply the price by 0.9.
To discount an item 15%, you charge 85% of the price of the item. To find 85% of a price, you multiply the price by 0.85.
Since multiplication is commutative, multiplying a number by 0.9 and then by 0.85 is the same as multiplying the number by 0.85 first and then by 0.9.
Let's say the item costs x.
Take off the 10% discount first: 0.9x
Now take off the 15% discount: 0.85 * (0.9x)
Now do it the other way.
Take off the 15% discount first: 0.85x
Now take off the 10% discount: 0.9 * (0.85x)
Since 0.85 * 0.9 * x = 0.9 * 0.85 * x, the results are the same.
Answer: neither
Find the length of arc AB
Answers
Step 1: Find the circumference of the circle
Formula for circumference: C = 2 * pi * r
C = 2 * pi * 27
C = 54pi
Step 2: Find the length of the desired arc
We are only looking for 20 degrees out of 360 degrees, therefore we can multiply our circumference by 20/360.
20/360 * 54pi = 3pi units
Hope this helps!
Helpppppp ASAP !!!!!
The graphs below are both quadratic functions. The equation of the red graph is f(x)=x^2 . Which of these is the equation of the blue graph g(x)
Answers
Answer:
[tex]{ \bf{c). \: g(x) = {(x - 3)}^{2} }}[/tex]
sec x tanx( 1- sin^2 x) = __x
Answers
Answer:
sin(x)
Step-by-step explanation:
sec x tanx(1 - sin^2 x)
1 - sin^2 x = cos^2 x
sec(x)tan(x)cos^2(x)
[tex]\frac{1}{cos(x)}[/tex] * [tex]\frac{sin(x)}{cos(x)}[/tex] * cos^2(x)
[tex]\frac{sin(x)cos^2(x)}{cos^2(x)}[/tex]
sin(x)
A group of 40 bowlers showed that their average score was 192. Assume the population standard deviation is 8. Find the 95% confidence interval of the mean score of all bowlers.
Answers
Answer:
[tex]CI=189.5,194.5[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=40[/tex]
Mean [tex]\=x =192[/tex]
Standard deviation[tex]\sigma=8[/tex]
Significance Level [tex]\alpha=0.05[/tex]
From table
Critical Value of [tex]Z=1.96[/tex]
Generally the equation for momentum is mathematically given by
[tex]CI =\=x \pm z_(a/2) \frac{\sigma}{\sqrt{n}}[/tex]
[tex]CI =192 \pm 1.96 \frac{8}{\sqrt{40}}[/tex]
[tex]CI=192 \pm 2.479[/tex]
[tex]CI=189.5,194.5[/tex]
Plss help Get brainiest if right!
The first side of a triangle is 2/3
as long as the second side. The
length of the third side of the triangle is 1/2 of the sum of the
first and second sides. Find the length of the sides of the triangle
if the perimeter is 50.
Answers
Answer:
In Picture
Step-by-step explanation:
Brainliest please~
HELP ASAP I WILL GIVE BRAINLIST
If sin ∅ = -sqrt{3} OVER 2 and π < ∅ < 3π OVER 2, what are the values of cos ∅ and tan ∅? What is ∅ in degrees and radians? Be sure to show and explain all work.
Answers
Step-by-step explanation:
sin ∅ = -(√3)/2
Note that
cos²∅ + sin²∅ = 1
cos²∅ = 1 - sin²∅
= 1 - (-√3 / 2)²
= 1 - (-√3)²/ 2²
= 1 - 3/4
= 1/4
cos²∅ = 1/4
Taking square root of both sides
cos∅ = 1/2
Note that tan∅ = sin∅/cos∅
therefore, tan∅ = -(√3)/2 ÷ 1/2
= -(√3)/2 × 2/1
= -√3
tan∅ = -√3
Since sin∅ = -√3 /2
Then ∅ = -60⁰
The value of ∅ for the given range (third quadrant) is 240⁰.
NB: sin∅ = sin(180-∅)
Also, since 180⁰ is π radians, then ∅ = 4π/3
Which function has the following characteristics?
- A vertical asymptote at x=3
- A horizontal asymptote at y=2
- Domain: {x ≠ ±3}
A. y= (2x-8) / (x-3)
B. y= (2x^2 - 8) / (x^2 - 9)
C. y= (x^2 - 9) / (x^2 - 4)
D. y= (2x^2 - 18) / (x^2 - 4)
Answers
The function has the characteristics is (b) y= (2x^2 - 8) / (x^2 - 9)
How to determine the function?The features are given as:
A vertical asymptote at x=3A horizontal asymptote at y=2Domain: {x ≠ ±3}The function that has the above features is (b).
This is proved as follows:
y= (2x^2 - 8) / (x^2 - 9)
Set the denominator not equal to 0, to determine the domain
x^2 - 9 ≠ 0
Add 9 to both sides
x^2 ≠ 9
Take the square roots
x ≠ ±3 --- domain
Replace ≠ with =
x = ±3 --- vertical asymptote
Set the numerator to 0
2x^2 - 8 = 0
Divide through by 2
x^2 - 4 = 0
This gives
x^2 = 4
Take the square roots
x = 2 ---- horizontal asymptote
Hence, the function has the characteristics is (b) y= (2x^2 - 8) / (x^2 - 9)
Read more about functions at:
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The cone and the cylinder below have equal surface area. O A. True O B. False
Answers
Answer:
the answer is false
Step-by-step explanation:
comment if you want explanation
Answer:
True
Step-by-step explanation:
When using the formulas to find the surface area, both have equal surface area
A file that is 266 megabytes is being downloaded . 14.4 % is completed , how many megabytes have been downloaded round to the tenth
Answers
Answer:
38.3 megabytes
Step-by-step explanation:
Find how many megabytes have been downloaded by multiplying 266 by 0.144:
266(0.144)
= 38.304
Round this to the nearest tenth:
= 38.3
So, 38.3 megabytes have been downloaded
Help meeee plzzzzzz!!!!
Answers
OPTION B is the correct answer.
2) There are 40 boys and 60 girls in a class of students. What is the ratio of girls to students
Answers
Answer:
60:100, 6/10, 3/5, 6 to 10, etc.
Step-by-step explanation:
You take the number of girls over total students which is boys + girls. Since there's 40 boys and 60 girls, it's 60 girls to 100 students which can be written in several ways.
Answer:
60:100 / 3:5
Step-by-step explanation:
You first add the total number of students which is (40boys + 60girls) which gives us 100 students.
Then arrange the ratio of girls to students as per the question that is 60:100, reduce it to its lowest term that is dividing the ratio by 20, and finally got 3:5
I need help please it’s for math
Answers
Answer:
139
Step-by-step explanation:
Since the given is a parallelogram then angle <D and angle <B are equal angles
10x - 21 = 9x - 5
10x - 9x = 21 - 5
x = 16 replace x with 16 to find the measure of angle <B
16*9 - 5 = 139
Which of these professionals most directly uses geometry? Choose the best answer
Answers
Answer:
- Surveyors
- developers of the GPS system
Step-by-step explanation:
Probabilityyyyyyyyyyyyyyy
Answers
Answer:
Reduce if needed, asked or necessary
Step-by-step explanation:
1. 4/10
2. 2/6
3. 4/10
4. more likely
Answer:
Since Probability Is Usually Written In Fraction Form OR Ratios
(Although It Really Doesn't Matter):
1. 4/10 (2/5)
2. 2/6 (1/3)
3. 6/10 (3/5)
(All Fraction Form)
Last Question:
I can't really see the bottom but probably its 'More likely' since you can already see a bunch of red marbles.
Step-by-step explanation:
This is the basic fraction form : ____ / ____
Based on what they ask, like the probability of picking out a black marble, count the number of black marbles in the particular bag and put that number as the numerator. The denominator is the total amount of marbles in that particular bag. Hope this helps!
Which of the following equations describes this graph?
A. y=(x-1)^2-
B. y=(x-3)^2+2
C. y=(x+1)^2-2
D. y=(x-2)^2+3
Answers
Answer:
The choose (A)
y=(x-1)²-2
