For three consecutive homework assignments, each assignment had one more question than the previous assignment. The total number of questions on the three assignments is greater than 51 a.Write an inequality to represent this situation, where q is the number of questions on the first assignment
The inequality that represents the situation is:
[tex]3q + 3 > 51[/tex]
The first assignment had at least 17 questions.
On the first assignment, there were q questions.Each assignment had one more question than the previous one, so the second had q + 1 questions and the third had q + 2 questions.The total number of questions is:
[tex]T = q + q + 1 + q + 2 = 3q + 3[/tex]
Since the total is greater than 51, the inequality is:
[tex]3q + 3 > 51[/tex]
Solving the inequality, we have that:
[tex]3q > 48[/tex]
[tex]q > \frac{48}{3}[/tex]
[tex]q > 16[/tex]
Thus, it is found that the first assignment had at least 17 questions.
A similar problem is given at https://brainly.com/question/24514895
Help please! I can't understand this question!
Answer:
Step-by-step explanation:
y = 2x + 8
She know 8 songs. 8 will be the y-intercept and each month she learns 2 songs which will be the slope of the function.
Answer:
y=2x+8
Step-by-step explanation:
It's for how many songs he knows in total
2 songs a month so
songs he knows=2(number of months)+the 8 he already knows
A fitness trainer decided to track the combined weight loss of
several new customers. She recorded the combined weight loss
each month and kept track for 6 months. Identify the best
mathematical model with its corresponding R2 value and tell
whether it is a good model.
Month
1
2
3
4
5
6
Weight loss
175
120
95
63
44
30
4.
exponential model, 0.996
Yes, 0.996 is very close to 1.
quadratic model, 0.994
Yes, 0.994 is very close to 1.
quadratic model, 0.994
No, 0.994 is too high an R2 value.
exponential model, 0.996
No, 0.966 is too high an R2 value.
Now, the R² value comes out as 0.996 and it is an exponential model and it is close to 1. Hence, option A is correct.
What is an exponential model?
Quantity rises over time through a process called exponential growth. It happens when the derivative, or instantaneous rate of change, of a quantity with respect to time is proportionate to the original quantity. A quantity that is growing exponentially is referred to as an exponential function of time, meaning that the exponent is the variable that represents time (in contrast to other types of growth, such as quadratic growth).
The amount declines over time and is said to be experiencing exponential decay if the constant of proportionality is negative. It is also known as geometric growth or geometric decay when the discrete domain of definition has equal intervals since the function values form a geometric progression.
Given that a fitness trainer is tracking the combined weight loss of several new customers.
She is recording for 6 months.
Now, we have to find the best mathematical model with the corresponding R² value
Given, the combined weight loss are - 175, 120, 95, 63, 44 and 30.
The formula for coefficient of determination R² = (x-x')(y-y')/√∑(x-x')²(y-y')²
≈ 0.996
Now, the R² value comes out as 0.996 and it is an exponential model and it is close to 1. Hence, option A is correct.
To know more about exponential model:
brainly.com/question/28596571
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Here's a question ~
Two lines passing through the point (2 , 3) intersect each other at an angle of 60° . If slope of one line is 2, then find the equation of the other line ~
note : there are two possible slopes !
Need Proper Explanation ~
Answer:
[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]
Step-by-step explanation:
It is given that –
Slope of the first line is–
[tex]\sf\longmapsto \: m_{1} = 2[/tex]
Let,
the slope of the Another line be –
[tex]\sf\longmapsto \: m _{2}[/tex]
Now,
The angle between the two lines is 60°.
Let's start solving!
[tex]\sf\longmapsto \: \tan(60°) | \frac{ m_{1} - m_ {2} }{1 + m_{1} m_ {2}} | [/tex]
[tex]\sf\longmapsto \: \sqrt{3} = | \frac{2 -m_{2} }{1 + 2m_{2}} | [/tex]
[tex]\sf\longmapsto \: \sqrt{3} = ± \: \: ( \frac{2 -m_{2} }{1 + 2m_{2}} )[/tex]
[tex]\sf\longmapsto \: \sqrt{3} = \frac{2 -m_{2} }{1 + 2m_{2}} [/tex]
[tex]\sf\longmapsto \: \sqrt{3} (1 + 2m_{2}) = 2 - m_{2}[/tex]
[tex]\sf\longmapsto \: \sqrt{3} + 2 \sqrt{3} m_{2} + m_{2} = 2[/tex]
[tex]\sf\longmapsto \: m_{2} = \frac{2 - \sqrt{3} }{(2 \sqrt{3} + 1) } [/tex]
The equation of line passing through point (2,3) and having a slope of –
[tex]\sf\longmapsto \: m_{2} = \frac{(2 - \sqrt{3} )}{2 \sqrt{3} + 1 } [/tex]
is–
[tex]\sf\longmapsto \: (y - 3) = \frac{2 - \sqrt{3} }{2 \sqrt{3} + 1 } (x - 2)[/tex]
[tex]\sf\longmapsto \: ( 2\sqrt{3} + 1)y - 3(2 \sqrt{3} + 1) = (2 - \sqrt{3} )x - 2(2 - \sqrt{3} [/tex]
[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]
Hence the equation of the other line is -
[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]
what is the equivalent value of 1/3×(−15)
a contractor is given a scale drawing of a rectangular patio. the scale from the patio to the drawing is 4 feet to 1 inch. what is the area of the actual patio?
Ordered pairs are ordered as (x,y) What is the constant of proportionality
for the ordered pair (-2,18)?
i forgot to attach the photo before.... please help
Part (i)
I'll use H in place of T to represent the heat of the object. That way there isn't a clash of variables lowercase t vs uppercase T.
The equation we're working with is updated to:
H(t) = 22 + a*2^(bt)
Plugging in t = 0 as the initial time value should lead to the temperature being H = 86 degrees Celsius.
So,
H(t) = 22 + a*2^(bt)
86 = 22 + a*2^(b*0)
86 = 22 + a*2^0
86 = 22 + a*1
86 = 22 + a
a+22 = 86
a = 86-22
a = 64
Answer: 64=====================================================
Part (ii)
We'll use the value of 'a' we found earlier. Plus we'll use the fact that H = 28 when t = 0.5 (since 30 min = 30/60 = 0.5 hr).
H(t) = 22 + a*2^(bt)
28 = 22 + 64*2^(b*0.5)
28-22 = 64*2^(0.5b)
64*2^(0.5b) = 6
2^6*2^(0.5b) = 6
2^(6+0.5b) = 6
log( 2^(6+0.5b) ) = log(6)
(6+0.5b)*log(2) = log(6)
6+0.5b = log(6)/log(2)
6+0.5b = 2.5849625
0.5b = 2.5849625-6
0.5b = -3.4150375
b = -3.4150375/(0.5)
b = -6.830075
Answer: Approximately -6.830075i need to find the slope and the value of A B
Answer:
the slope is 2 and a=8 b=6
Step-by-step explanation:
2. An architect is reading a plan that is drawn on a scale of 0.75 inches to 1 foot. If the plan says that a room is 12 feet high, how high is the roof in the drawing?
Answer:
9 Inches
Step-by-step explanation:
1 feet is 0.75 inches
12 feet will be 0.75 * 12 = 9 inches
Therefore,it 9 inches.
Answer:
9 inches
Step-by-step explanation:
12 * 0.75 = 9
Answer: 9
Complete the equation so that it has
infinitely many solutions.
48 - 2) = (2x -
Help please and hurry
Answer:ok here u go
Step-by-step explanation the reason its no solutions is because there is no x and that makes the problem no solution
The table shows the probability distribution of Pamela seeing red cars and green cars on her way to office.
Pamela can expect to see ___ red cars and___ green cars on her way to office.
The expected value of a dataset is the mean of the dataset.
The complete text is: Pamela can expect to see 1 red car and 1 green car on her way to office.
Expected value is calculated as:
[tex]\mathbf{E(x) =\sum x \times P(x)}[/tex]
For the red cars, we have:
[tex]\mathbf{Red = 0 \times 0.43 + 1 \times 0.31 + 2 \times 0.14 + 3 \times 0.10 + 4 \times 0.02}[/tex]
[tex]\mathbf{Red = 0.97}[/tex]
Approximate
[tex]\mathbf{Red = 1}[/tex]
For the green cars, we have:
[tex]\mathbf{Green= 0 \times 0.45 + 1 \times 0.17 + 2 \times 0.22 + 3 \times 0.07 + 4 \times 0.09}[/tex]
[tex]\mathbf{Green= 1.18}[/tex]
Approximate
[tex]\mathbf{Green= 1}[/tex]
Hence, the expected values of red and green is 1.
Read more about expected values at:
https://brainly.com/question/22097128
Need help ASAP 50 points ?!!!
Answer:
pretty sure it's 11
Step-by-step explanation:
Substitute x with -44
Answer:
11
Step-by-step explanation:
f(x) = f(-44) plug in -44 for x
10 - -44/44
10 - (-1)
I do something called KFC, keep flip change
10 + 1 = 11
(8.1 x 10⁻⁴) - (9.5 x 10⁻⁵)
Answer:
[tex]7.15*10^{-4}[/tex]
Step-by-step explanation:
[tex](8.1*10^{-4})-(9.5*10^{-5})=0.00081-0.000095\\\\=0.000715 = 7.15*10^{-4}[/tex]
Yo can y'all help me with this I already did it on another paper. It would be very helpful if it was a step by step explanation take 100 points brother
Answer:
there is no question if you provide one in comments I will edit my answer to answer the question
Step-by-step explanation:
There are five red, 3 blue and a white marble in a jar. What is the probability of selecting
a white marble, replacing it, then selecting a white marble again?
Answer:
1/81 I think now 100% sure though
Can some pls help me?
Answer:
4
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
E to A is 3 and D to A is 2 so you add the two together and get 5 which is B.
Let me know if I'm wrong.
PLS HELP ASAP ILL GIVE BRAINLIEST TYSM
Answer:
3x+2=16
Step-by-step explanation:
Answer:
the answer is most likely to be rather the first or second choice, but i choose B
Step-by-step explanation:
*Hope this helps*
based on what i understood, 3 green rectangles (or whaever that shape is), the 2 red squares, and the 16 small yellow squares. and the answer choices have
3x - 2 = 16
3x +2 = 16
3x + 4 = 20
3x = 24
and i dont think its 3x + 4 = 20 or 3x = 24 because there isn't any shapes to represent the 4, 20, and 24.
I might be wrong but i hope its right...
Enter an equation for the statement.
The price of a radio r is $40 less than the price of CD player p.
The equation is ____=____
I need the equation and the answer please it’s due tonight
Answer:
The answer is 27.15
this is your equation to your answer step by step
4.40+ 3.25=
7.65
7.65+3.25=10.9
10.9+3.25=14.15
14.5+3.25=17.4
17.4+3.25=20.65
20.65+3.25=23.9
23.9+3.25=
do all straight lines that are functions have inverses?
Answer: Not all Functions have a inverse
Happy To Help :)
Step-by-step explanation:
5.32×10^5 solve it please need it by 12:00
Answer:
532,000
Step-by-step explanation:
10^5= 100,000
100,000 x 5.32
Move the decimal place 5 spaces to the right.
It gives you 532,000
Answer:
532000Step-by-step explanation:
5.32 × 10^5 =
532/100 × 100000 =
133/25 × 100000 =
532000
Pick the odd one out. A) 8÷4×2 B) 5×1−1 C) 3×3−5 D) 3×2+1
Answer:
D
Step-by-step explanation:
cause 8÷4 =2 and ×2 =4
5x1=5-1=4
3×3=9-5=4
3×2=6-1=5
The odd one is the different one cause every other one answer is 4 expecet d ....d answer is 5
pls help i need help on homework. and i dont understand:
6 = 7y - 8
please solve using inverse operations
I offer a crown and 20 points
Answer:
6=7y-8
6+8=7y-8+8(addition inverse operation)
14=7y
14/7=7y/7(division inverse operation)
2=y
Step-by-step explanation:
Answer:
y=2
Step-by-step explanation:
6=7y-8
(to get all the numbers on the right side and the letters on left side we can swap 6 with 7y)
-7y= -6-8
(since both were positive before we used the inverse method to turn both into a negative number)
-7y= -14
÷7 ÷7
(to get y on its own we divide both sides by 7)
y=2
Hope this helped you- have a good day bro cya)
Expand the following
Answer:
a) 4x+4
b) 7x-14
c) 12x +18
d) 10x-10y
Answer:
4x+4
7x-14
12x+18
10x-10y
Step-by-step explanation:
HELP QUICKKKK!!!!!
A square has an area of 4 square feet. What is the perimeter of the square, rounded to the nearest foot?
A. 8
B. 12.5
C. 28
D. 200
What are the coordinates of the terminal point determined by T=20pi/3
Answer:
t=5x=3049
Step-by-step explanation:
Answer:
The answer is cos=(-1/2, square root -3/2)
Step-by-step explanation:
This circle has a circumference of 40 centimeters.
Calculate its diameter
Answer:
d≈12.73cm
Step-by-step explanation:
Using the formulas
C=2πr
d=2r
Solving for d
d = c/[tex]\pi[/tex] = 40/[tex]\pi[/tex] ≈12.7324cm