Answer:
y=4x+18
Step-by-step explanation:
HOPE THIS HELPS :)
2(1+a) * 5(1+a)
help u u want to help or else continue helping
Step-by-step explanation:
We simply multiply what there is to multiply:
10(1+a)^2 = 10a^2 + 20a + 10
II. Solve the problems involving variations. Show your complete solution. (3 points each) 1. If y varies directly as the square of x, and y = 32 when x = 2, find y when x = 5. 2. The force of attraction (F) between two opposite electrical charges varies inversely as the square of the distance (d) between them. If F = 18 when d = 10, find F when d = 15. 3. If y varies jointly as x and z, find y if x = 3, k = 6 and z = 9
Answer:
see explanation
Step-by-step explanation:
(1)
y varies directly as x² then the equation relating them is
y = kx² ← k is the constant of variation
To find k use the condition y = 32 when x = 2
32 = k × 2² = 4k ( divide both sides by 4 )
8 = k
y = 8x² ← equation of variation
When x = 5 , then
y = 8 × 5² = 8 × 25 = 200
(2)
Given F varies inversely as d² then the equation relating them is
F = [tex]\frac{k}{d^2}[/tex] ← k is the constant of variation
To find k use the condition F = 18 when d = 10
18 = [tex]\frac{k}{10^2}[/tex] = [tex]\frac{k}{100}[/tex] ( multiply both sides by 100 )
1800 = k
F = [tex]\frac{1800}{d^2}[/tex] ← equation of variation
When d = 15 , then
F = [tex]\frac{1800}{15^2}[/tex] = [tex]\frac{1800}{225}[/tex] = 8
(3)
y varies jointly as x and z then the equation relating them is
y = kxz ← k is the constant of variation
when x = 3, y = 6, z = 9 ,then
y = 6 × 3 × 9 = 162
Can someone explain how to do this:
If you put 10 in to the function f(x) = 2x, what would be the output?
--
Im so lost-
Answer:
It would be 2 (10)
Step-by-step explanation:
If you replace x with 10 then you have a multiplacation problem and the output of the answer is 20
sancho can ride 8 miles on his bicycle in 30 minutes. at this rate about how long would it take him to ride 30 minutes
Answer:
It would take him eight hours, but only if at the end of your sentence you meant miles.
Step-by-step explanation:
8miles_____ 30mn
30miles ____________________ *hrs
8 div by 30, .266667 miles per min
mult by 30
On the set of axes below. solve the following
system of equations graphically. Statc the
coordinates of the solution.
y=4x-1
2x + y = 5
Answer:
i think x=1 y=3 (1,3)
Step-by-step explanation:
2x+4x-1 = 5
x = 1
y = 4x-1
y = 4(1)-1
y = 4-1
y = 3
A stadium has 50,000 seats. Seats sell for $25 in section A, $20 in section B, and $15 in section C. The number of seats in section A equals the total number of seats in Sections B and C. Suppose the stadium takes in $1,071,000 from each sold-out event. How many seats does each section hold?
Answers:
section A = 25,000 seats
section B = 14,200 seats
section C = 10,800 seats
Your teacher may want you to leave out the commas from each number.
=============================================================
Work Shown:
A = number of seats in section AB = number of seats in section BC = number of seats in section CA = B+C
A+B+C = 50,000
B+C+B+C = 50,000
2(B+C) = 50,000
B+C = 50,000/2
B+C = 25,000
C = 25,000 - B
25A + 20B + 15C = 1,071,000
25(B+C) + 20B + 15C = 1,071,000
25(25,000) + 20B + 15(25,000 - B) = 1,071,000
625,000 + 20B + 375,000 - 15B = 1,071,000
1,000,000 + 5B = 1,071,000
5B = 1,071,000 - 1,000,000
5B = 71,000
B = (71,000)/5
B = 14,200 is the number of seats in section B
C = 25,000 - B
C = 25,000 - 14,200
C = 10,800 is the number of seats in section C
A = B+C
A = 14,200 + 10,800
A = 25,000 is the number of seats in section A
--------------
Check:
A+B+C = 25,000+14,200+10,800 = 50,000
PLEASE SOLVE ALL W STEPS WORTH 30 PTS
Answer:
Step-by-step explanation:
I'll leave you to round
7.)
x= amount invested at time 0
[tex]x*e^{18*.07}=25000\\x=7091.35066249[/tex]
8.)
[tex]7091.35066249(1+\frac{.045}{4})^{4*36}=35510.594803[/tex]
8b.)
In the first investment we had a yield of: 25000-7091.35=17908.65
In the second investment we had a yield of: 35510.5948-7091.35=28419.24
While it may seem like the second investment had the higher return (because it had the higher yield) the first one has the highest yield because it's being compounded more often and at a higher rate
PLEASE HELP. I NEEED THIS BY TOMORROW
Jamar drove 228 miles and used 6 gallons of gas.
a) How many miles/gallon did he get on the trip?
b) On another trip, he used 9 gallons of gas. How far did he travel?
Step-by-step explanation:
a)
well, it is kind of written already :
228 miles and 6 gallons.
so, miles/gallon = 228/6 = 38 miles/gallon.
b)
it is not mentioned, but I guess we have to assume that he got the same miles/gallon ratio on this trip as well.
so, again
38 miles/gallon
and he used 9 gallons.
so, he drove 38×9 = 342 miles
Construct a quadrilateral RISK in which RI= 4.5 cm, IS=5.6 cm, SK=6 cm, RK=3.5 cm and RS=7.2 cm. Measure the diagonal KI.
The measure of the diagonal KI is approximately 6.465 centimeters.
The diagonals of the quadrilateral RISK are represented by line segments RS and KI, both measured in centimeters. There are two triangles forming the quadrilateral: [tex]\triangle RIS[/tex], [tex]\triangle RKS[/tex]
By Law of Sine and Law of Cosine we determine the measures of all internal angles:
Triangle RIS
[tex]RS^{2} = RI^{2}+IS^{2}-2\cdot RI\cdot IS \cdot \cos I[/tex] (1)
[tex]\frac{RS}{\sin I} = \frac{RI}{\sin S'} = \frac{IS}{\sin R'}[/tex] (2)
Triangle RKS
[tex]RS^{2} = RK^{2} + KS^{2}-2\cdot RK\cdot KS\cdot \cos K[/tex] (3)
[tex]\frac{RS}{\sin K} = \frac{RK}{\sin S''} = \frac{KS}{\sin R''}[/tex] (4)
[tex]S = S' + S''[/tex] (5)
[tex]R = R' + R''[/tex] (6)
By (1) and (3) we find the values of angles I and K:
[tex]I = \cos^{-1}\left(\frac{RI^{2}+IS^{2}-RS^{2}}{2\cdot RI\cdot IS} \right)[/tex]
[tex]I \approx 90.261^{\circ}[/tex]
[tex]K = \cos^{-1}\left(\frac{RK^{2}+KS^{2}-RS^{2}}{2\cdot RK\cdot KS} \right)[/tex]
[tex]K\approx 94.903^{\circ}[/tex]
By (2) and (4) we find the remaining angles for each triangle:
[tex]S' = \sin^{-1}\left[\left(\frac{RI}{RS} \right)\cdot \sin I\right][/tex]
[tex]S' \approx 38.682^{\circ}[/tex]
[tex]R' = \sin^{-1}\left[\left(\frac{IS}{RS} \right)\cdot \sin I\right][/tex]
[tex]R' \approx 51.057^{\circ}[/tex]
[tex]S'' = \sin^{-1}\left[\left(\frac{RK}{RS} \right)\cdot \sin K\right][/tex]
[tex]S'' \approx 28.969^{\circ}[/tex]
[tex]R'' = \sin^{-1}\left[\left(\frac{KS}{RS} \right)\cdot \sin K\right][/tex]
[tex]R'' \approx 56.128^{\circ}[/tex]
Then, we have the values of angles R and S by (5) and (6):
[tex]S \approx 67.651^{\circ}[/tex], [tex]R \approx 107.185^{\circ}[/tex]
The measure of the diagonal KI is found by the Law of Cosine:
[tex]KI = \sqrt{IS^{2}+SK^{2}-2\cdot IS\cdot SK\cdot \cos S}[/tex]
[tex]KI \approx 6.465\,cm[/tex]
The measure of the diagonal KI is approximately 6.465 centimeters.
To learn more on quadrilaterals, we kindly invite to check this verified question: https://brainly.com/question/6321910
You are going to a private apple orchard to pick apples. There is a one-time entry fee that everyone pays, and you also pay a certain amount per pound of apples you pick. It costs $46 to buy 5 pounds of apples, and it costs $58 to buy 7 pounds of apples.
The one-time entry fee is $6 and the price per pound is $4.
In order to determine the one time entry fee and the cost to pick an apple per pound, two equations would be formed from the question:
x + 5y = 46 equation 1
x + 7y = 58 equation 2
Where:
x = one-time entry fee
y = price per pound
In order to determine the value of y, subtract equation 1 from 2
2y = 12
y = 12 / 2 = 6
In order to determine the value of x, substitute for y in equation 1:
x + 5(6) = 46
x + 30 = 46
x = 40 - 36
x = 4
For more information, please check: https://brainly.com/question/25802822
What is the equation of the line that passes through the point (-3,0) and has a
slope of ?
Answer:y - 0 = 4/3(x + 3)
Step-by-step explanation:
Answer:
Answer:y - 0 = 4/3(x + 3)
Step-by-step explanation:
What is the common ratio between successive terms in the sequence?
Answer:
The common ratio of a geometric progression is calculated by dividing two consecutive terms and simplifying it to the simplest form. In the sequence, the ratio 1/3 is the same and is called the common ratio
Step-by-step explanation:
The common ratio of a geometric progression is calculated by dividing two consecutive terms and simplifying it to the simplest form. In the sequence, the ratio 1/3 is the same and is called the common ratio
round 0.006772 to 1 significant figure
Answer:
[tex]0.007[/tex]
Step-by-step explanation:
Round to the required significant figure:
[tex]0.007[/tex]
Can i get some help :
Answer:
is not equal to sign is used
0.66 pts
Sandy bought a pair of shoes on sale for 40% off the original price and an additional 25% off the discount price. If the shoes originally cost $60, what was the final cost, without tax, that Sandy paid for the shoes?
Answer:
The price is $27.00
Step-by-step explanation:
First you find 40% of 60 which is 24.
Next you subtract 24 from 60 (60-24) which equals 36.
Then you find 25% of the discounted price (36) which is 9.
Finally you subtract 9 from 36 (36-9) which is 27.
Conclusion:
So therefore the answer is $27.00.
I don't care if I get brainlyist just glad I could help :)
can you please help me
Answer:
Step-by-step explanation:
1. HI // KL , J is midpoint of HL 1. Given
2. ∠IHJ ≅ ∠JLK 2. Alternate interior angles are congruent
3. ∠IJH ≅ ∠KJL 3. Vertically opposite angles
4. HJ ≅ JL 4. Given
5. ΔHIJ ≅ ΔLKJ 5. A S A congruent
(Angle Side Angle)
You went to a carnival. Each ride cost $2.50.
Let c represent the cost and n represent the
number of rides.
Can someone help me with 45 ?
Answer:
h⁰ = 84⁰
f⁰ = 132⁰
g⁰ = 28⁰
Step-by-step explanation:
As we know that sum of all the angles in a triangle is 180⁰, so,
h⁰ + 48⁰ + 48⁰ = 180⁰
h⁰ = 84⁰
Now, we can find f⁰ by Linear Pair theorem, which states that the angles sum will equal to 180⁰.
48⁰ + f⁰ = 180⁰
f⁰ = 132⁰
Again, g⁰ can be founded the same way as h⁰.
20⁰ + 132⁰ + g⁰ = 180⁰
g⁰ = 28⁰
HOPE IT HELPS :)
If 7 is subtracted from half of a number, the result is 14. Find the number.
a.41
b.42
c.43
d.44
Answer:
The number is 42.
Hope you could get an idea from here.
Doubt clarification - use comment section.
how to dilate with a scale factor of 1/3 with orgin point on graph
Answer:
each coordinate is multiplied by 1/3
Step-by-step explanation:
Each point on the graph is moved to a distance from the origin that is its previous distance multiplied by the scale factor. This means every coordinate value is multiplied by the scale factor.
For example, a coordinate of (3, -9) scaled by 1/3 will become ...
(1/3)(3, -9) = (1, -3)
__
Additional comment
If your scale factor is 1/3, often you will find that coordinates of the larger image are all multiples of 3. This makes relocating them to 1/3 their original distance fairly easy. Even if they're not, you still move each point to 1/3 its original distance. The new point will be on the line segment joining the center of dilation (the origin) with the original point.
The attached graph is an illustration of dilation by a factor of 1/3.
pls help me i do not know how to do this
Answer:
D. Reflect across the y-axis and then across x = 7
Step-by-step explanation:
A and B work because each transformed point is 12 to the right (x-value is 12 greater), and 3 left then 15 right is the same thing as just 12 right.
C. works because if you take each of the points and reflect them over the y-axis (make the x value positive) and then across the line x=6 (vertical line at 6 on the x-axis) it will map the points onto the correct image.
So, the answer is D. Reflect across the y-axis and then across x = 7.
subtracting 24 is the inverse of
Answer:
The inverse of subtracting 24 is adding 24.
Step-by-step explanation:
The inverse of subtraction is addition.
I got these questions wrong, please explain how to do this
Answer:
See attachment
Step-by-step explanation:
Find sin 90° + cos 360° + tan 0°
Answer:
2
Step-by-step explanation:
sin 90 is 1;
cos 360 is cos 0, or 1; and
tan 0 is 0.
Thus, sin 90° + cos 360° + tan 0° = 1 + 1 + 0 = 2
please help me asapppppp
ty :)
Answer:
2x + 7y = 35
Step-by-step explanation:
Multiply the equation with 7
7 ( y = -2x/7 + 5 )
7y = -2x + 35
2x + 7y = 35
Write a fraction pair of fractions with a common denominator: 1/3 and 3/4
admission to the state fair costs $5 and each ride costs $0.75 if john and his three sons went to the fair and john spent a total of $56 how many rides did each person ride?
Answer:
t
Step-by-step explanation:
1. The last time Lola played
basketball, she made 84% of the free
throws she shot. Based on this
information, how many free throws
will Lola make if she shoots 50 free
throws this season?
A: 42
B: 34
C: 26
D: 17
Answer:
A) 42 is the correct answer, I just did .84 times 50 and that equals 42.
Step-by-step explanation:
Staci pays $32.70 for 5 cell phone cases. Each case costs the same amount. How much does eachcase cost?
Answer: Each phone case costs $6.54.
Explanation:
$32.70 ÷ 5 = cost per cell phone
$32.70 ÷ 5 = $6.54