Answer:
Y = 125
Step-by-step explanation:
Y is directly proportional to X^2
Mathematically,
Y ∝ X²
Y = kX²
Where k = Constant of Proportionality
Step 1
If y = 45 when x = 3
We solve for k
Y = kX²
k = Y/X²
k = 45/3²
k = 45/9
k = 5
Step 2
find y when x = 5
Y = kX²
k = 5, X = 5
Hence,
Y = 5 × 5²
Y = 125
(3x + 3) (2x − 2)
Please help me
Find the missing values in the ratio table. Then write the equivalent ratios. (pls help me fill out the rest!)
Step-by-step explanation:
[tex] \frac{6}{2} = \frac{3}{1 } = \frac{12}{4} = \frac{15}{5} \\ [/tex]
Janet has 10 pairs of specialty socks, each pair in a different color. Suppose she randomly picks two out of the drawer without looking, what is the probability that the two socks are a matching pair?
Answer:
1/10
Step-by-step explanation:
Find the radius of the circle given by the equation (x – 5)2 + (y - 3)2 = 225.
Answer:
The radius is 15
Step-by-step explanation:
In the equation, 225 is a square of a radius, so the radius itself is the square root of 225, which is 15.
Answer: the radius is 15
Step-by-step explanation:
what is the answer to : classify <1 and <7
Given:
A figure.
To find:
The classification for angle 1 and angle 7.
Solution:
From the given figure, it is clear that a transversal line intersect two parallel lines and forms 8 angles, 4 angles on each intersection.
In the figure, angle 1 and angle 7 are on opposite sides of the transversal line and outer side of each of those two parallel lines.
Therefore, angle 1 and angle 7 are alternate exterior angles.
Which of the following amounts is greater than 48 inches? Select all that apply.
A) 2 yards
B) 5 feet
C) 4 feet, 3 inches
D) 3 feet, 9 inches
E) 1 yard, 2 feet
Answer:
A,B,C, and E
Step-by-step explanation:
A number is less than 30 but greater than 10.
It has 6 in the ones place.
the possible numbers?
The volume of a rectangular prism is 72 cubic units. If the length of the prism is 6 units, What might the width and height be? how many solution are there?
Explain your answer
Answer:
anything that adds up to twelve like 3 x 4 or 6 x 2 or 12 x 1 so three answers
Help plz and don’t spam for points
Look I tried ok???? Sorry... =_=
plz help dicriminant of 3x^2-4x+2
Answer: it's -8
Step-by-step explanation: use the values of a, b, and c to find the discriminant. give me brainliestt
Answer: D = -8
Step-by-step explanation:
Ohh okk so the discriminant basically helps find the number of solutions to a quadratic equation
If D(discriminant) is:
< 0 there are no solutions
= 0 there is one solution
> 0 there are two solutions
The discriminant is found using
b^2 - 4ac
Here a = 3
b = -4
c = 2
(-4)^2 - 4(3)(2)
16 - 24
-8
A marathon runner completes a 42km course at an average speed of 7km/h. Calculate the time taken to complete the course.
Answer:
t = 6 hours
Step-by-step explanation:
Given that,
Average speed, v = 7 km/h
Distance, d = 42 km
We need to find the time taken to complete the course. The average speed is given by :
[tex]v=\dfrac{d}{t}\\\\or\\\\t=\dfrac{d}{v}\\\\t=\dfrac{42\ km}{7\ km/h}\\\\t=6\ h[/tex]
So, the time taken to complete the course is 6 hours.
peter is drawing a rectangle with a perimeter of 16 centimeters. he has drawn one side measuring 3cm.
What length must he draw the next side?
include the units cm in your answer
PLEASE HELP!!!!!!!!! Solve the system using elimination method.
-14x+4y=-24
-7x-7y=-21
Choices:
a.(4,2)
b.(2,1)
c.(-2,-6)
d.(3,4)
Answer:
The answer is (6,12)
107x= 642
x=6
7•6 +2y=66
y= 12
The simple interest on an investment of $3600 over 2 years is $504. Find the interest rate to the nearest one decimal place.
Answer:
7%
Step-by-step explanation:
Given data
Principal= $3600
Time= 2 years
SImple interest= $504
The expression for the simple interest is given as
SI= PRT/100
We want to find the rate R
504= 3600*R*2/100
cross multiply'
504*100= 3600*R*2
50400= 7200R
divide both sides by 7200
R= 50400/7200
R= 7%
Hence the rate is at 7%
what is the y-intercept of the following function?
Y=2(4/3)x
A.X
B.2
C.3
D.4
Answer:
C.
Step-by-step explanation:
Answer: A) x axis
Step-by-step explanation:
goes through the origin
We want to find the zeros of this polynomial: p(x)= (x-1) (x+3) (2x+1)
Answer:
X=1, x= -3, x= -1/2
Step-by-step explanation:
okay, so you've got your zeros right here actually. it's very simple, so I'll give you the reader's digest: SET THEM ALL TO ZERO
x-1=0 add your one, so that's x=1
x+3=0, subtract your 3, so that's x= -3
the last one is tricky: 2x+1=0, 2x= -1, but you can go further. divide your two, and you're left with x= -1/2
I hope this helps!!!
5^4 = 5 x 5 x 5 = what is the value of 5^4
Answer:
625?
Step-by-step explanation:
Answer:
625 is the value of 5×5×5×5 or 5^4
Help! Picewise function problem
10 Rotate the point (7, 8) around the origin 90 degrees. State the image of the
point.
A (-7, -8)
B (8, -7)
C (-8,7)
D (8,7)
Answer:
(-8, 7)
Step-by-step explanation:
for 90 degree rotations u switch the numbers and make the first number opposite
Answer:c
Step-by-step explanation:
-8,7
2.
A rectangular box is 60 cm long and 45 cm wide. Can
an umbrella that is 68 cm long fit inside of the box?
Answer:
well yes if the back sticks out or if its turned like a x / it can go inside
Step-by-step explanation:
What is the slope of the line?
Answer:
2
Step-by-step explanation:
Stacy's Checking Account
This month, Stacy deposits 4 paychecks, each one for $175.
She makes 2 utility payments for $60 each.
She makes another payment for $80.
1 point
DO NOT TYPE IN THE $. It is already included.
Kevin deposits a total of $ type youryanswer...
Of a total of 6,000.00, part was invested at a simple interest rate of 8% and part at 7% if the total interest income for one year was $46.00, how many was invested at 7%
Answer: Ok so first 0.05(6000 - x) + 0.07x = 372
300 - 0.05x + 0.07x = 372
300 + 0.02x = 372
0.02x = 72
x = 3600
He invested $3600 at 7% and $2400 at 5%.
Hope this helps have a bless day❤️Step-by-step explanation:
Answer:
Step-by-step explanation:
I think you had a typo where interest should be 460 not 46 because even if the whole 6000 were invested at 7% he would have earned $420 in interest. Also if total investment was switched from 6000 to 600 the 46 in interest would work.
.07x+.08(6000-x)=460
.07x-.08x+480=460
-.01x+480=460
-.01x=-20
x=$2000
which is easy enough to check
2000(.07)+4000(.08)=$460
which figure could be the result of dilation the trapezoid with a scale factor between 0 and 1
Answer:
1
Step-by-step explanation:
Which expressions are equivalent to the following expression:
6h+5(x+h)
Step-by-step explanation:
6h + 5(x +h)
6h + 5x + 5h
11h + 5x
---------------------------FOLLOW MEHey anybody plz help me ;C
Answer:
her equation should be a² + 3² = 4²
Step-by-step explanation:
a² + 3² = 4²
a² + 9 = 16
a² = 7
a = [tex]\sqrt{7}[/tex]
a ≈ 2.6 inches
Determine if the triangles are congruent. If they are, state why.
Darunt by SA
ITS DUE AT 5PM PLEASE I NEED TO GET IT DONE WAY BEFORE. HELP!!
joseph saves 30% of his allowace each week. if he saves 24$ in 5 weeks. how much allowance does joseph recieve in each week
Answer:
$24/5 weeks = $4.80 saved per week.
$4.80 is 30% of what number?.....
4.8=0.3*X....... 4.8/0.3=X ........X=16
So, Joseph receives $16 per week.
Step-by-step explanation:
A sign in a bakery gives these options:
12 muffins for $25
24 muffins for $46
50 muffins for $94
Find each unit price to the nearest cent.
Option 1: $
Option 2: $
Option 3: $
Answer:
1. $0.48
2. $0.52
3. $0.53
Step-by-step explanation:
12/ $25
24/$46
50/$94
hope this helps
Which table has a constant of proportionality between y and 2 of 10?
Choose 1 answer:
y
20
2
12
132
22 220
y
20
5
5
7
30
10 40
2
y
9
90
14 140
24 240
Answer:
the third y
Step-by-step explanation: