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Explanation:
We're told that "p is directly proportional to the square of q", which means that we have the equation
p = k*q^2
for some constant k
Replace p with 12 because we're also told that p = 12.
So we now have this equation
12 = k*q^2
which is the same as
kq^2 = 12
We'll use this later.
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Let's go back to the original equation. We'll replace q with 2q to represent the value of q doubling
p = k*q^2
p = k*(2q)^2 ... replace q with 2q
p = k*4q^2
p = 4k*q^2
p = 4*(kq^2)
p = 4(12) ...... replace kq^2 with 12
p = 48
Therefore, if q is doubled, then p = 12 quadruples to p = 48.
Paki answer po fi d the value of k mentally
Answer:
We have 5 equations where we want to find the value of k. To find the value of k first solve the term that is multiplicating k, and when we know the term, we can divide both sides to isolate k in one side of the equation.
1) 30 = k*(15/4)
To solve this, we can just multiply by (4/15) in both sides, so we get:
30*(4/15) = k*(15/4)*(4/15)
(30/15)*4 = k
2*4 = k
8 = k
2) 360 = k*√36
Here you need to remember that:
6*6 = 36
then √36 = 6
We could just replace that in the equation:
360 = k*6
now let's divide both sides by 6.
360/6 = k*6/6
60 = k
3) 64 = k*(4²)*(2²)
Here we need to remember that:
4² = 16
2² = 4
We can replace these in the equation to get:
64 = k*16*4
and 4*16 = 64
then:
64 = k*64
Now let's divide both sides by 64.
64/64 = k*64/64
1 = k
4) 100 = k*(25)*(4)
Here we know that 4*25 = 100
So replacing that in the equation we get a similar expression to the above one.
100 = k*100
Now let's divide both sides by 100
100/100 = k*100/100
1 = k
5) 6 = k*3
Here just divide both sides by 3.
6/3 = k*3/3
2 = k
Shandra had $200 in her bank account on Monday. On Tuesday, she had a
debit of $50 and a credit of $25. How much money does Shandra have in
her bank account on Wednesday?
Answer:
175
Step-by-step explanation:
For a year, a chef from a restaurant collected data about the cost of strawberries and cherries in his local food market. this data is summarized in the table below. based on the data collected, select all of the statements that are correct.
Answer:
A Strawberries generally cost less.
D If the chef pays $6.00 for a pound of fruit, it is most likely cherries.
Step-by-step explanation:
A and D
uhhh just look at the screenshot then answer
Answer:
The Independent is the Number of Hours while the Dependent is the Number of Miles
Equation: y= 50x
Step-by-step explanation:
I Hope this helped
In this figure, angles R and S are complementary. Find the measure of angle S.
S
62°
R
PLEASE HELP ASAP
Answer:
Angle S is 28 degrees.
Step-by-step explanation:
You know angle R is 62 degrees and that angle Q is 90 degrees because the angle is marked by a teeny square (as I like to call it). You ten can add these two angles together and you will get the angle of 152 degrees. And as you should know that all angles of a triangle added together are 180 degrees you just take 180 degrees and subtract it with the two known angles added together. Thus you know that the final answer to S is 28 degrees.
The measurements of an cuboidal oil box are 30cm, 40cm and 50cm respectively. The cost of the tin sheet used in making the box is Rs. 10 per m². Find the cost of the tin required to make 20 such boxes ?
Answer:
Cost of 20 boxes = RS. 188
Step-by-step explanation:
Given:
Length of box = 30 cm = 0.3m
Width of box = 40 cm = 0.4 m
Height of box = 50 cm = 0.5 m
Cost per m² = Rs. 10
Find:
Cost of 20 boxes
computation:
TSA of box = 2[lb + bh + hl]
TSA of box = 2[(0.3)(0.4) + (0.4)(0.5) + (0.5)(0.3)]
TSA of box = 2[0.12 + 0.2 + 0.15]
TSA of box = 0.94 m²
Cost of 20 boxes = 0.94 x 20 x 10
Cost of 20 boxes = RS. 188
You have to solve the problem \frac{3}{4}-\frac{1}{8} 4 3 − 8 1 . After you make the denominators the same, what do you do?
FOR ALL MY POINTS
Answer:
If you are doing subtraction with fractions you need to make a common denominator and subtract the numerators from each other
ex. 1/2 - 1/3
make a common denominator (or find the least common multiple)
3/6 - 2/6
subtract the numerators
take 2 from 3 and put that on top.
Solution 1/2-1/3= 3/6-2/6= 1/6
Answer the photo below thanks
Answer:
C. 36 degrees
Step-by-step explanation:
90 + 54 = 144
180 - 144 = 36
you were correct
hi anyone tell me the answer
Answer:
x= 136 degree ( being vertically opposite angle)
Answer:
x = 136
Step-by-step explanation:
x and 136 are vertical angles and congruent, then
x = 136
how do i solve these using substitution
Answer:
Step-by-step explanation:
point form:
(3,4)
equation form:
x= 3, y= 4
I would need you to tell me the answers to each question (3 questions)
Step-by-step explanation:
For no. 4
x = 180° - 98° - 50°
x = 32°
For no. 5
x = 180°- 67°-56°
x = 57°
For no. 6
x = 180° - 22° - 47°
x = 111°
Hope it will help :)❤
A wooden box has the shape of a rectangular prism. The inside of the box is also a rectangular prism. What is the volume of the solid part of the box? Enter your answer below.
Answer:
1242
Step-by-step explanation:
Help meh ill mark 1 and 1/2 +2/5 PLZZZZZZZZZZZZZZZZ
Answer:
1 9/10
Step-by-step explanation:
Megan is planning to make dinner for a group of friends. She wants to make each person a personal pizza. It takes Megan 3 minutes to prepare a personal pizza with toppings. The function P(f) = 3f represents the time it takes to prepare the pizzas, where f is the number of friends attending her dinner party.
The function C(f) = 30 represents the time to cook the pizzas since it will take Megan 30 minutes regardless of how many friends attend..
Which expression represents how long it will take Megan to prepare and cook the pizzas
A. P(f) + C(f)
B. P(f) – C(f)
C. P(f) ∙ C(f)
Answer:
The answer is A
Step-by-step explanation:
You are adding the time it takes to make a pizza so it isn't B or C
Herbert is decorating the bulletin board at school.The bulletin board is 7 ft by 11 ft.He decides to add a black border.What is the length of the border needed?
Answer:
36 feets
Step-by-step explanation:
The dimension of bulletin board = 7 feets by 11 feets
Bulletin boards are shaped as a rectangle :
To add a black border ; two of the sides will be of length 7 feets (length) while the other 2 will be of 11 feets (width) each or vice-versa
However, total Lenght of black border :
(11 * 2) + (7 * 2)
22 + 14
= 36 feets
Please can someone help me I can’t fail this test
Answer:
x=7 y=4
Step-by-step explanation:
couldnt really see the question but i hope this helps
Don notices that the side opposite the right angle in a right triangle is always the longest of the three sides. Is this also true of the side opposite the obtuse angle in an obtuse triangle?
Answer:
Yes
Step-by-step explanation:
The line has to be loner to connect the other two.
perrys bikes rents bikes for $18 plus $4 per hour. Lea paid $42 to rent a bike for how many hours did she rent the bike?
Answer:
5 hours 30 min
Step-by-step explanation:
Place the numbers 4/3 , 1/2 , 4/8 , 3/2 and 2/2 in order from least to greatest.
Answer:
1/2, 4/8, 2/2, 4/3, 3/2
Step-by-step explanation:
If you put the fractions into decimals it would easier to see which ones are greater and leasts.
4/3 = 1.333...
1/2 = 0.5
4/8 = 2/4 = 1/2 = 0.5
3/2 = 1.5
2/2 = 1
Am not sure if 1/2 go first or 4/8.
How do we solve this?
Answer:
B is (3, 10)
Step-by-step explanation:
The midpoint of coordinates of the 2 points (x1, y1( and (x2, y2) is
(x1 + x^2) / 2 , (y1 + y2)/2.
So if (x, y) are the coordinates of B we have:
(7 + x)/2 + (2 + y)/2 = 5 + 6
So 7 + x = 2*5 so x = 3
AND 2 + Y = 12 SO y = 10.
what is the square root of 4.84
Answer:
2.2. Hope it helps :D
Please work out -80 ÷ -8
Answer:
10
Step-by-step explanation:
-80 / -8 = 10
the negatives cancel each other out
-80÷-8=10
.....................
Show that the line 3y = 7 + 5x is perpendicular to the line 5y = 4 - 3x.
Answer:
Proven Below
Step-by-step explanation:
If we rearrange these equations, we get that 3y = 5x + 7 and that 5y = -3x + 4. Next, to find what y equals on both equations, we divide by 3 on both sides of the first equation, where we would get that y = 5/3x + 7/3, and then divide by 5 on both sides of the second equation, where we would get that y = -3/5x + 4/5. Now, to see if two lines are perpendicular to each other, we have to see if the slopes (The number being multiplied by x. Ex.) In the equation y = 3/4x + 4, the slope is 3/4) are opposite reciprocals (If you multiply them and they are equal to -1. Ex.) 3/4 * -4/3 is equal to -1, so they are opposite reciprocals). In this case, we have -3/5 and 5/3 as slopes, and -3/5 * 5/3 is equal to -1, so they are perpendicular.
Answer:
The slope of the first line is 5/3
The slope for the second one is -3/5
If you multiply the 2 slope you have to end up with - 1
So 5/3*(-3/5)=-15/15 which is - 1
So yes the lines are perpenducular
Find the area. Simplify your answer.
Answer:
x = 26
Step-by-step explanation:
it is a right angle so
(x+4)3=90
3x+12=90
-12 -12
3x = 90-12
3x = 78
/3 /3
x = 26
What is the radius and diameter of the following circle?
Answer:
radius=7.5, diameter=13
Step-by-step explanation:
diameter is the length across a circle through the middle, and it is given in the picture. radius is half of the diameter
I need to know what the answer to this problem is the right answer 4/8
Choose ALL the angles with a measure less that 90 degrees.
Answer:
Top left Top middle Bottom Left Bottom right
Step-by-step explanation
If the angle makes an "L" it is a 90 degrees angle or a right angle
If the angle makes a "V" it is less than 90 degrees or an acute angle
If the angle makes a "Stretched out V" it is more than 90 degrees or an obtuse angle
The option that represents the acute angle will be option A, option B, option D, and option F.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
The types of angles are as follows:
If the angle is less than 90° then the angle is known as an acute angle.If the angle is equal to 90° then the angle is known as a right angle.If the angle is more than 90° then the angle is known as an obtuse angle.Then the option that represents the acute angle will be option A, option B, option D, and option F.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ2
Pls help FAST I’m giving brainliest
a square has side length 95 what is the length of the diagonal of the square express your asnser in simplest radical form
Answer
134.35
Step by step explanation
95+39.35
=134.35
Answer:
95(sq rt 2)
Step-by-step explanation:
Pythagorean theorem
95^2+95^=diagonal^2
diagonal^2=18050
95(sq rt 2)
Finance the formula in exercise 17 is the formula for computing simple interest, where I is interest P is principle of amount invested, r is the interest rate and t is the same tm in years. Find the amount of interest earned if you were to invest $5000 at 6% interest for 3 years.
Answer:
$900
Step-by-step explanation:
Given that:
Principal, p = 5000
Interest, r = 6%
Period, t = 3 years
Using the relation :
Simple interest = Principal * Rate * Time
Simple interest = $5000 * 0.06 * 3
Simple interest = $900
Hence, amount of interest earned = $900