Answer:
a) 0.75 inch/month
b) y-20 = 0.75(x-4)
c) 17 inches
d) 44
a) 0.8 inch/month
b) yes
c) y = 0.8x + 18.8
d) 18.8 inches
Step-by-step explanation:
a) (21.5-20)/(6-4) = 1.5/2
= 0.75 inch/month
If this is correct, 2 months after the 6th month (month 8), it should be
21.5 + 2(0.75) = 23
Which it is
b) y-y1 = m(x-x1)
Where y is the length, x is the months, m is the slope and (x1,y1) is a known point
At x = 4, y = 20
y-20 = 0.75(x-4)
Or
y = 0.75x + c
20 = 0.75(4) + c
c = 20 - 3 = 17
y = 0.75x + 17
c) at birth, 4 months before month 4
So, 20 - 0.75(4) = 17
Which is also the y-intercept
d) y = 0.75(36) + 17
y = 27 + 4 = 44 inches
Generally, at the age of 3 years (36 month) the length is between 35 and 40 inches
a) slope = (30-22)/(14-4)
= 0.8 inch/month
b) 0.8 > 0.75, so yes
c) When x = 4, y = 22
y-22 = 0.8(x - 4)
y - 22 = 0.8x - 3.2
y = 0.8x + 18.8
y-intercept is 18.8
d) at birth, x = 0.
Length was 18.8 inches
Step-by-step explanation:
Express 8 1/5% as a mixed number or a fraction
Please show work so I can understand it so I know what to do on problems that look like this in the future
Answer:
41/5
Step-by-step explanation:
First we change the 8 and 1/5% to 8.2%
Write the fraction down as a number over one = 8.2/1
Multiply both top and bottom by 10 for every number after the decimal point:
As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,
8.2/1 = (8.2 × 10)
(1 × 10) = 82/10
Reduce the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD (82,10) = 2. So, (82÷2)/(10÷2) = 41/5 when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 82/10 is also equal to 81/5 when expressed as a mixed number.
Solve for x
(8x-29)+(3x-1)+(6x-11)=180
Answer:
x= 13
Step-by-step explanation:
can i please get branlist? if not thats okay.
please solve this problem
Answer:
sorry i am not sure
Step-by-step explanation:
sorry i am not sure
Find the missing dimension of the prism.
Answer:
10
Step-by-step explanation:
To find volume you have to multiply all 3 sides 7*8*x=560 = 56*x=560 we divide it by 56 and get x=10
v = u + at
Make u the subject of the formula.
Plz, Write down the answer and don’t put spaces.
Answer:
u=v-at
Step-by-step explanation:
When making something the subject of the formula, we need to get that thing on 1 side of the equation all by itself. To do this, we need to rearrange.
Because I can see that the side with my "u" has a "+at", I need to get the "+at" onto the other side of the "=", I can do this by subtracting it on both sides (because that - is the inverse of +). So I now have v-at=u. Which is the final answer.
Note: it doesn't matter which side U is on, as long as it is alone (so this equation can also be written as u=v-at.
A 26 ft ladder leaning against a wall begins to slide. How fast is the top of the ladder sliding down the wall at the instant of time when the bottom of the ladder is 10 ft from the wall and sliding away from the wall at the rate of 3 ft/sec?
Answer:
The top of the ladder is sliding down at a rate of -1.25 ft/s.
Step-by-step explanation:
From the Pythagorean Theorem:
[tex]\displaystyle a^2 + b^2 = c^2[/tex]
(Where a is the height, b is the distance between the bottom of the ladder and the wall, and c is the length of the ladder itself.)
Note that the hypotenuse c is a constant value at 26 feet. Substitute:
[tex]\displaystyle a^2 + b^2 = (26\text{ ft})^2 = 676 \text{ ft}^2[/tex]
We want to determine how fast the top of the ladder is sliding down the wall at the instant of time when the bottom of the ladder is 10 feet from the wall and sliding away from the wall at the rate of 3 ft/s.
In other words, we want to find da/dt given that b = 10 ft, and db/dt = 3 ft/s.
First, we can differentiate both sides with respect to t, where a and b are both functions of t:
[tex]\displaystyle \frac{d}{dt}\left[ a^2 + b^2\right ] = \frac{d}{dt}\left [ 676 \text{ feet}^2\right ][/tex]
Implicit differentiation yields:
[tex]\displaystyle 2a \frac{da}{dt} + 2b \frac{db}{dt} = 0[/tex]
Next, since we know that b = 10 ft, we can find a:
[tex]\displaystyle \begin{aligned} a^2 + b^2 & = 676\text{ ft}^2 \\ \\ a^2 +(10 \text{ ft})^2 & = 676\text{ ft}^2 \\ \\ a & = 24\text{ ft} \end{aligned}[/tex]
Substitute and solve for da/dt:
[tex]\displaystyle \begin{aligned} 2a \frac{da}{dt} + 2b\frac{db}{dt} & = 0 \\ \\ 2(24 \text{ ft}) \frac{da}{dt} + 2(10 \text{ ft})(3 \text{ ft/s}) & = 0 \\ \\ 48 \text{ ft} \cdot \frac{da}{dt} & = -60 \text{ ft$^2$/s} \\ \\ \frac{da}{dt} & = -1.25 \text{ ft/s} \end{aligned}[/tex]
Since the ladder is sliding down the wall, da/dt is expected to be negative.
In conclusion, the top of the ladder is sliding down at a rate of -1.25 ft/s.
Micah is saving to buy a new guitar and every month is putting $45 from his paycheck into his savings
account. He has already saved $120. How many more months will it take before he has enough to buy
the guitar if it costs $415?
Answer:
6.5555 months
Step-by-step explanation:
$415-$120= $295
Micah will need $295 from his paycheck earnings to be able to afford the guitar.
$295/$45= 6.5555months
(-6,7) (0,3)
I'm having treble finding the slop I need the sem
Did you use the formula
gradient =
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
??
I'm not shear but i think that run to -6 then 3 is the correct sorry am learning it
i need help with this
Answer:
I love you baby
Step-by-step explanation:
I love you baby to quit all night I love you baby
Round 1,597 to the nearest hundred
Answer:
1600
Step-by-step explanation:
Need helpppppppppppppppppp
Answer:
46.3
Step-by-step explanation:
Mean is the average of all values. You add all the values on the table and divide them by the amount of values (here there are 10 land animals so you would divide by 10).
[tex]\frac{70+61+50+48+45+43+40+39+35+32}{10} =\frac{463}{10} = 46.3[/tex]
Lisa and Molly were digging holes in the sand at the beach to build their sandcastles. Lisa dug an 11 foot hole and Molly dug a 14 foot hole. Find the difference in depth.
the difference in depth is 3 feet, you can find this by the equation 14-11
Please help me and can you explain step by step please
Answer:
16 robots
Step-by-step explanation:
Each worker can move 12 boxes/minute and there are 24 workers.
24 x 12 = 288
Divide the total work by 18 (since a robot can move 18 boxes/minute)
288 ÷ 18 = 16
Kendrick went to the playground. He played on the swings for 30 minutes and went on the slide for 30 minutes. It was 11:15 A.M. when Kendrick left the playground. What time was it when Kendrick arrived at the playground? Include A.M. or P.M. in your answer (for example, 11:58 A.M.).
please help on all asap, tysm <33
Answer:
1. 4.22
2. 19.415
3. nine and thirty- five
4. Three and four hundred twelve
Step-by-step explanation
what is the answer to this question (-4uv²)³
Answer:
[tex]-64u^{3}[/tex][tex]v^{6}[/tex]
Step-by-step explanation:
Answer:
(-64u³vto the 6th power)
Step-by-step explanation:
(4³u³v to the 6th power)
(-64u³vto the 6th power)
 what is the geometric sequence and the 8th term and the 10th term
Answer:
The geometric sequence is decreasing by 0.5 * each term
common ratio = 0.5
an equation for this exact sequence would be
50(0.5)^x-1
Step-by-step explanation:
To find the common ratio for a geometric sequence we can divide the previous term value by the next term value
so 50 / 25 = 0.5
and to check we can divide
25 / 12.5 = 0.5
So our common ratio is 0.5
Step-by-step explanation:
Given sequence:
50, 25, 12.5, ...The first term is 50 and the common ratio is:
r = 12.5/25 = 25/50 = 1/2The equation:
tₙ = t₁rⁿ⁻¹tₙ = 50(1/2)ⁿ⁻¹Find the 8th and 10th terms:
t₈ = 50(1/2)⁷ = 0.390625t₁₀ = 50(1/2)⁹ = 0.09765625PLEASE HELP ME AND HURRY TOO NO LIBKS PLEASE I WILL GIVE BRAINLIEST
Answer:
[tex] \frac{1}{3} x - 5 - \frac{1}{6} x - 3 = \\ \frac{2}{6} x - \frac{1}{6} x - 8 = \frac{1}{6} x - 8[/tex]
Answer:
option D is the right answer
please mark this answer as brainlist
Washing his dad's car alone, Aidan takes 6 hours. If his dad helps him, then it takes 2 hours. How long does it take Aidan's dad to wash the car by himself?
Answer:
Step-by-step explanation:
If he washes his dads car alone it takes 6hrs, If his dad helps him it takes 2hrs.
6-2= 4
4hrs?
I dont understand the question lol.
WILL MARK BRAINLIEST REAL ANSWERS ONLY
Mark can read 20 pages of a book in 1 hour. His school assignment is to da 260 page book. Track how many hours he has left to read. Number of Pages left hours to read. What is the unit rate? And write an equation for the line. (also please help me graph it)
Answer:
for the table
x y
0 260
1 240
2 220
3 200
Unit Rate is -20
we know this because the question tells us, he reads 20 pages per hour
the equation would be
y = -20x + 260
Kylie just accepted a job at a new company where she will make an annual salary of $43000. Kylie was told that for each year she stays with the company, she will be given a salary raise of $5000. How much would Kylie make as a salary after 6 years working for the company? What would be her salary after tt years?
Answer:5600
Step-by-step explanation:
Because I just did it
The expression: 4xy – 2y(x + 1) can be simplified to
Answer:
2. 2xy-2y
Step-by-step explanation:
4xy-2y(x+1)=4xy-2xy-2y
=2xy-2y
Cheryl bought 16 pounds of apples for $12. How much did it cost per
Sund of apples?
$192
$0.75
$1.33
$28
Answer:
.75
Step-by-step explanation:
$12 / 16 = $0.75
pls help!!! i don’t know how to do this .
Answer:
-30 ,-2
5, -3
hope it will.help u
2/7 + 4/5 mixed forms
Answer:
38/35 or 1 3/35Step-by-step explanation:
2/7 + 4/5 mixed forms
2/7 + 4/5 =
38/35 or 1 3/35
Answer:
38/35
Step-by-step explanation:
1. convert to like fractions
2/7-> 10/35
4/5-> 28/35
2. add fractions
10/35 + 28/35 = 38/35
PLEASE HELP ME ITS ALGEBRA THANK YOUUUU
Answer: 20
Step-by-step explanation:
so if you divide 40 w 8, it’ll be 5 which means that she reads 5 books in a month. divide 100 w 5 and you’ll get 20
It costs $8.28 for an 18 ounce jar of peanut butter. How much does it cost per ounce of peanut butter?
Answer:
8.28/18 = 0.46
46 cents
Step-by-step explanation:
If 2x-8=3-4x then x=
Answer:
x = -32
Step-by-step explanation:
2x+10y=20 and passes through (2,3)
Answer:
No, it doesn't pass throughStep-by-step explanation:
As, if we put the value (2,3) in the equation then,
2x + 10y = 20
=> 2(2) + 10(3) = 20
=> 4 + 30 = 20
=> 34 ≠ 20
Hence,
2x+10y=20 does not pass through (2,3)
11,912 + 26,102 + 26,102
Answer:
it's 64,116
Step-by-step explanation:
ur welcome