Complete question :
James wants to compete in the international speed texting competition next year where participants compete on text speed and accuracy. James’s current text speed is 2 characters per second. James has found that his texting speed increases at a rate of 1⁄2 a character per second for each month that he practices.
1. a. What is James’s new texting speed if he practices for only 1 month? __________
b. What is James’s new texting speed if he practices for 2 months? ____________
c. What is his new texting speed if he practices for 3 months? _____________
d. Write an algebraic equation that gives James’s texting speed s for m months of
practice.
Answer:
2 1/2 ; 3, 3 1/2 ; s = 2 + 1/2m
Step-by-step explanation:
Given that :
Speed = 2 characters per second
Rate of change = 1/2 character per second increase per month
New texting speed after 1 month :
Initial speed + (change per month * number of months)
2 + 1/2 * 1
= 2 1/2 or 2.5
After 2 months :
Initial speed + (change per month * number of months)
2 + (1/2 * 2)
2 + 1
= 3 characters per second :
After 3 months :
Initial speed + (change per month * number of months)
2 + 1/2 * 3
= 2 + 1.5
= 3.5
For the algebraic equation :
New texting speed, s
Number of months, m
Initial speed + (change per month * number of months)
s = 2 + 1/2 * m
s = 2 + 1/2m
Determine whether each expression is equivalent to 100t^2-0.5t
Answer:
[tex]100^{t^{2}-0.5\cdot t}[/tex] is not equivalent to [tex]\frac{10^{t^{2}}}{100^{t}}[/tex].
[tex]100^{t^{2}-0.5\cdot t}[/tex] is not equivalent to [tex]\frac{50^{t^{2}}\cdot 2^{t^{2}}}{25^{0.5\cdot t}\cdot 4^{0.5\cdot t}}[/tex].
[tex]100^{t^{2}-0.5\cdot t}[/tex] is not equivalent to [tex]\frac{50^{t^{2}-0.5\cdot t}}{5^{t^{2}-0.5\cdot t}}[/tex].
Step-by-step explanation:
The expression to be evaluated is [tex]100^{t^{2}-0.5\cdot t}[/tex], we find by algebraic means the equivalent expression:
Possibility 1:
[tex]100^{t^{2}-0.5\cdot t}[/tex]
[tex]\frac{100^{t^{2}}}{100^{0.5\cdot t}}[/tex]
[tex]\frac{100^{t^{2}}}{(100^{0.5})^{t}}[/tex]
[tex]\frac{100^{t^{2}}}{10^{t}}[/tex]
[tex]100^{t^{2}-0.5\cdot t}[/tex] is not equivalent to [tex]\frac{10^{t^{2}}}{100^{t}}[/tex].
Possibility 2:
[tex]100^{t^{2}-0.5\cdot t}[/tex]
[tex]\frac{100^{t^{2}}}{100^{0.5\cdot t}}[/tex]
[tex]\frac{(50\cdot 2)^{t^{2}}}{(25\cdot 4)^{0.5\cdot t}}[/tex]
[tex]\frac{50^{t^{2}}\cdot 2^{t^{2}}}{25^{0.5\cdot t}\cdot 4^{0.5\cdot t}}[/tex]
[tex]100^{t^{2}-0.5\cdot t}[/tex] is not equivalent to [tex]\frac{50^{t^{2}}\cdot 2^{t^{2}}}{25^{0.5\cdot t}\cdot 4^{0.5\cdot t}}[/tex].
Possibility 3:
[tex]100^{t^{2}-0.5\cdot t}[/tex]
[tex]\left(\frac{500}{5} \right)^{t^{2}-0.5\cdot t}[/tex]
[tex]\frac{500^{t^{2}-0.5\cdot t}}{5^{t^{2}-0.5\cdot t}}[/tex]
[tex]100^{t^{2}-0.5\cdot t}[/tex] is not equivalent to [tex]\frac{50^{t^{2}-0.5\cdot t}}{5^{t^{2}-0.5\cdot t}}[/tex].
36 cups equals how many gallons
Answer:
2.25 gallons
Step-by-step explanation:
ggggdhdhdhdhdjd its right
Answer:
2.25 gallons
Step-by-step explanation:
i need help on this and yea
Answer:
3
Step-by-step explanation:
Which scatterplot shows a linear association?
Answer:
A scatter plot shows the association between two variables. A scatter plot matrix shows all pairwise scatter plots for many variables. If the variables tend to increase and decrease together, the association is positive. If one variable tends to increase as the other decreases, the association is negative.
Step-by-step explanation:
mark me brainliest plzzzzzzz
Answer:
For me its A
Step-by-step explanation:
It is the one that is the positive linear association.
Plz mark as brainliest
What value of x makes this proportion true?
3 15
х 40
O A. 5
O B. 8
O c. 105
O D. 28
quanto e 506 em numeros romanos?
Answer:
506 DVI
Step-by-step explanation:
..............
506 en numero romanos es
DVI
What is the cost to the NEAREST CENT?
$50 video game; 10% markup
A. $5.00
B. $40.00
C. $45.00
D. $55.00
Answer:
C. $55.00
Step-by-step explanation:
10% of $50 is $5, then add it because it is a markup, $55.00
What is the area of this figure?
Enter your answer as a decimal in the box.
cm²
Answer:
The Answer is 137.5 :)
Step-by-step explanation:
I took the Test ♡
APQR , the measure of angle R=90^ , the measure of angle P=38^ , and PQ = 62 feet. Find the length of RP the nearest tenth of a foot .
Answer: 48.9
Step-by-step explanation:
Delta math
What is the coefficient in the following expression?
3x + 9
Answer:
3
Step-by-step explanation:
The number that is being multiplied by the variable is the coefficient.
Fill in the blank to make a true equation
15+10=5(3+___)
Answer:
2
Step-by-step explanation:
15+10=5(3+_)
25=5(3+_)
25 divide by 5 equals 5
5-3=2!
Answer:
2
Step-by-step explanation:
When you distribute the 5 to the 3 and the 2 it makes 15 + 10 which is equal to the other side of the equation.
everything greater than -6
Answer:
-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and anything else above.
Step-by-step explanation:
Answer: there’s a lot of things that is great than -6, for example 75, 83,1,2,3,4,,5,6,8,9,10, 639, 938. These are just some
Step-by-step explanation:
Pls help reward the brainiest to right answers
Answer:
1. y=(4, 1)
2.y=(1/2, 2)
3. y=(-7.7, -1.3)
4.a=4, b=-13, c=3
5.x=the first one, i cant do all those symbols lol.
Step-by-step explanation:
Convert mixed number to improper fraction
2 3/5
Answer:
To convert mixed numbers you multiply the denominator by the whole number and add the numerator.
5×2+3=13/5
Step-by-step explanation:
Hope this helps:)
Answer:
Its 13/5
Step-by-step explanation:
The denominator is 5, so to make a whole, you need 5. Since you have 2 wholes, you multiply 5 by 2 to get 10. Then you add 3 and 10 and get 13/5. You never change the denominator in addition or subtraction.
Hope this helps >.<
How to round 8.6023 in the nearest tenth?
Answer:
8.6
Step-by-step explanation:
https://www.you.tube.com/watch?v=32gDF10ZXOA
( it might be wrong pls dont report me just let me kno y its wrong )
Answer:
8.6
Step-by-step explanation:
First of all consider the thousands in the decimal which is 2. Since 2 is not greater than 5 we have to remove the number 2 and 3 from the 8.6023.
We're left with 8.60. Now we see that there's a 0 in the hundredths so since it's not greater than 5 we remove it.
Now we're left with 8.6 which is to the nearest tenth.
Use long division to write the rational number as a repeating decimal using bar notation.
**Put your answer in until the number starts repeating. Don't forget to put the bar over what repeats on your paper!**
13/6
..........................................................
Which equation represents a slope of 4 and (5,-2)?
y-2=4(x-5)
y-5=4(x-2)
y+2=4(x+5)
y+2=4(x-5)
Answer:
Step-by-step explanation:
the formula is named the point slope formula for a reason. and you have show both of them in the question , the slope and the point are given
y - y1 = m(x-x1)
so for your answer
y-(-2) = 4(x-5)
y+2 = 4(x-5) is the right answer
Select the graph that matches the function y = 3x + 7.
y+
5
5
9
-5
5
-5
5
y
5
5
5
5
х
5
5
5
5
Answer:
Bottom left
Step-by-step explanation:
It shows that x is a unpredictable number but also show the value of 3 and 7
Answer:
its the first one
Step-by-step explanation:
hope i helped
f – 5.2 1.6
answer pls
Answer: what u mean
Step-by-step explanation:
Answer:
huh what do you mean picture?
This is for my final grade before spring break please help me asap
Answer:
4 weeks
Step-by-step explanation:
Wich of the expressions simplify 10y + 8??
Answer:
2(5y+4)
Step-by-step explanation:
Answer:
2(5y+4)
Step-by-step explanation:
You factor out a two, and then it will be simplified. You can't factor out another two, because 5 is not divisble by two.
The reaction times for a random sample of nine subjects to a stimulant were recorded as 2.5, 3.6, 3.1, 4.3, 2.9, 2.3, 2.6, 4.1, and 3.4 seconds. Calculate the range.
Answer:
The range is 2
Step-by-step explanation:
The highest 4.3 - the lowest 2.3
1. 7x +30
2.7x+50
3.13x+30
4.13x+50
Please help me
Answer:
its easy the first one 7x+30
can you help me with this please.
4)
5)
6)
7)
8)
9)
10)
Can you help me explain
Answer:
x = 10
Step-by-step explanation:
We need to isolate X.
3x - 7 = x + 13
subtract 13
3x - 7 - 13 = x
combine like terms
3x - 20 = x
subtract 3x
- 20 = x - 3x
Combine like terms
- 20 = - 2x
Divide by -2
10 = x
-6 x (1/3 + 1/3)What is the answer?
Answer:
−4
Step-by-step explanation
Answer:
−4
Step-by-step explanation:
-6 x (1/3 + 1/3)
Since 1/3 and 1/3 have the same denominator, add them by adding their numerators.
-6 x (1+1/3)
Add 1 and 1 to get 2.
-6 x (2/3)
Express -6 x (2/3) as a single fraction.
-6 x 2/3
Multiply −6 and 2 to get −12.
-12/3
Divide −12 by 3 to get −4.
−4
Question 17. A circular flower bed has a diameter of 20 cm, what is the
area of the flower bed?
A 62.84 cm
B 125.68 cm
C 256.8 cm
D 314.2 cm
I need help asap and work shown
Answer:
A. SinA=10/26 B. CosA=24/26 C. TanA=10/24 D. TanB=24/10
Step-by-step explanation:
You really need to remember this formula for trig: Soh Cah Toa
S=Sin O=Opposite H=Hypotenuse
C=Cosine A=Adjacent H= Hypot.
T=Tangent O= Oppo. A=Adjac.
Now if we take Soh, what it basically means is that the sine is equal to the opposite over the hypotenuse, same thing for the others, cosine is equal to the adjacent over the hypotenuse and tangent is equal to the opposite over adjacent. When you have a letter such as A or B in front of sin cos or tan, it represents which angle on the triangle does this imply to, if that makes sense. For example, for sin A you use Soh to find the ratio, opposite = 10 and hypotenuse = 26, so 10/26. Same thing for Cos A, adjacent = 24 and hypotenuse = 26. You apply the same thing for tan, but something happened, there is a TAN B, so what that means is that you go to angle B, and you apply the toa formula, opposite= 24 and adjacent = 10 so 24/10. Hope this answers your question. MAKE SURE YOU REDUCE YOUR RATIOS. :)
Determine the domain of the following graph:
Answer:
[0,11)
Step-by-step explanation:
the function is defined over {0,11) because it includes x=0, but has an open dot at x=11.
I’ll give someone brainliest if they answer this I got them wrong unfortunately
Answer:
for number 4 its c and d
for number 5 its b
Step-by-step explanation:
hope this helps :D