Answer: 7.2x10 3
Step-by-step explanation:
Answer: 7.2 x 10^3 or 7200
Step-by-step explanation:
PLEASE HELP!!
(04.03)
Given the function g(x) = 5(2)^x, compare the average rate of change from x = 1 to x = 2 and from x = 3 to x = 4.
How many times greater is the average rate of change from x=3 to x=4 than from x=1 to x=2?
О 4 times
O 5 times
O 2 times
O The average rate of change of Section B is not greater than the average rate of change of Section A.
Answer: Choice A. 4 times
========================================================
Explanation:
We'll be using this formula
[tex]m = \frac{f(b)-f(a)}{b-a}[/tex]
to compute the average rate of change (AROC) from x = a to x = b. Note how this is effectively the slope formula because y = f(x).
To start things off, we'll compute the AROC from x = 1 to x = 2.
[tex]m = \frac{g(b)-g(a)}{b-a}\\\\m = \frac{g(2)-g(1)}{2-1}\\\\m = \frac{5(2)^2-5(2)^1}{2-1}\\\\m = \frac{10}{1}\\\\m = 10\\\\[/tex]
Do the same for the AROC from x = 3 to x = 4.
[tex]m = \frac{g(b)-g(a)}{b-a}\\\\m = \frac{g(4)-g(3)}{4-3}\\\\m = \frac{5(2)^4-5(2)^3}{4-3}\\\\m = \frac{40}{1}\\\\m = 40\\\\[/tex]
The jump from m = 10 to m = 40 is "times 4", which is why choice A is the final answer.
A clothing business finds there is a linear relationship between the number of shirts, n ,it can sell and the price, p , it can charge per shirt. In particular, historical data shows that 1000 shirts can be sold at a price of $66, while 10000 shirts can be sold at a price of $48. Give a linear equation in the form p
Answer: p = [tex]\frac{-n}{500} +68[/tex]
Step-by-step explanation:
Let n represent the number of shirts and p represent the price, the there is a linear relationship between n and p, then the model equation is given as:
p = mn + b, where
m = slope and b is the intercept
From the question, when n = 1000, p = $66
And, when n = 10,000 , p = $48
The formula for finding slope is given as:
m = [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
[tex]y_{1} = 66[/tex]
[tex]y_{2} = 48[/tex]
[tex]x_{1} = 1000[/tex]
[tex]x_{2} = 10000[/tex]
substituting the values,
m = [tex]\frac{48-66}{10000-1000}[/tex]
m = [tex]\frac{-18}{9000}[/tex]
m = [tex]\frac{-2}{1000}[/tex]
m = [tex]\frac{-1}{500}[/tex]
The linear equation thus becomes
p = [tex]\frac{-n}{500}+b[/tex]
To find the value of b, substitute p = 66 and n =1000 into the equation
That is,
66 = [tex]\frac{-1000}{500}+b[/tex]
66 = -2 + b
68 = b
Therefore b = 68
The linear equation is therefore
p = [tex]\frac{-n}{500} +68[/tex]
Someone help me I will mark you as brain
Answer:
- 1
Step-by-step explanation:
-3 (-3) -10
9 - 10 = -1
Hi I really need help with this question, ANSWERS ONLY, I'll give 35 POINTS, PLEASE
What is the positive conterminal angle to -32° that is between 500° and 1000° and a negative conterminal angle to -32° that is between -500° and -50°?
positive coterminal angle:
negative coterminal angle:
Answer:
0° and 90°, it's Ql. If between 90° and 1800 QQ. ... Find a positive and a negative conterminal angle for the given angle.
Step-by-step explanation:
The positive and negative coterminal angles to -32° are:
Positive coterminal angle = 688°
Negative coterminal angle = -392°
What is a coterminal angle?Coterminal angles are those whose terminal sides and beginning sides coincide.
The given angle measure is -32°.
The positive coterminal angle is:
-32° + 360°
= 328°
Since the angle is not between 500° and 1000°, add 360° one more times:
328° + 360°
= 688°
The negative co-terminal angle is:
-32° - 360°
= -392°
Hence, the positive and negative coterminal angles to -32° are:
Positive coterminal angle = 688°
Negative coterminal angle = -392°
Learn more about coterminal angles:
https://brainly.com/question/23093580
#SPJ6
Can someone plsss help me with the 2 one
Answer: [tex]\sqrt{73}[/tex] for number 7
Step-by-step explanation:
a²+b²=c²
3²+8²=c²
9+64=c²
[tex]\sqrt{73}=\sqrt{c^2}\\\sqrt{73}=c[/tex]
The perimeter of a triangle is 65 cm. The
lengths of the sides are x cm, x+8 cm, and
X+ 12 cm.
What is the length, in cm, of the longest side of
the triangle?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The longest side measures :
[tex]27\: \: cm[/tex][tex] \large \boxed{ \mathfrak{Explanation}}[/tex]
Perimeter of a triangle is equal to sum of measures of its all three sides, that is :
[tex]x + x + 8 + x + 12[/tex]and according to the question, the perimeter of the triangle is = 65 cm
so, let's equate both the expressions to find value of x :
[tex]x + x + 8 + x + 12 = 65[/tex][tex]3x + 20 = 65[/tex][tex]3x = 65 - 20[/tex][tex]3x = 45[/tex][tex]x = 45 \div 3[/tex][tex]x = 15[/tex]The longest side of the Triangle is :
[tex]x + 12[/tex][tex]15 + 12[/tex][tex]27 \: \: cm[/tex]27cm
Step-by-step explanation:
(xcm) + (x+8cm) + ( x+ 12cm) = 65cm
Open Bracket
xcm + x+8cm + x+12cm = 65cm
3x+ 20cm = 65cm
Collect like terms
3x = 65cm - 20cm
3x = 45cm
Divide both sides by 3
3x/3 = 45cm/3
x = 15cm
The longest side of the triangle =( x+12cm)
= (15+12)cm= 27cm
A 144-inch board is cut into two pieces. One piece is five times the length of the other. Find the length of the shorter piece.
The shorter piece is inches long.
Answer:
shorter piece is 28.8 inches
Step-by-step explanation:
Answer28.8
Step-by-step explanation:
28.8 x 5 = 144
pls help ASAPPPP11!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
It's between 0 and 1
Step-by-step explanation:
1/64 = 0.015625
The ratio of men to women working for a company is 4 to 5. If there are 110 women working for the company, what is the total number of employees?
Answer:
198
Step-by-step explanation:
?/4 110/5
cross-multiply 4*110
440
divide 440/5
88 men
add total employees
110 women + 88 men = 198
a³-a²b-ab²+b³hihihihihihihi
In a student president race student A received 9 votes received by student B if student A received 540 votes, how many votes did student B receive?
Answer: 60 Votes
Step-by-step explanation:
540 divded by 9 which equals 60 votes.
So Student B received 60 votes.
60 votes was received by student B.
540/9=60
Can someone help me with number 8 :(
Answer:
a1=5
d=9-5=4
a20=5+19×4=81
Item 1
What is the slope of the line on the graph?
WORTH 20 POINTS
Enter your answer in the box.
Answer:
-2
Step-by-step explanation:
Hope it helps
Classify the quotient as positive, negative, or zero - 25 ÷ - 5
Answer:
-25÷-5= 5 The quotent is positive.
Step-by-step explanation:
positive+positive=positive
negative+negative= positive
positive+negative=negative
negative+positive=negative
Write a unit rate for each situation . 20$ saved in 4 weeks
Answer:
so the answer is 5
Step-by-step explanation:
20/4=5
help me with this please
Answer: 65
Step-by-step explanation:
george is building a fence at a consent rate of 1/3 section of fence every 1/2 hour at the rate. what fraction represents the section iof fence george can build per hour
Find the EQUATION of the line through (-10,-12) and (-15,3). Use the form y=mx+b.
Help lolz- Acellus Write 0.34 as a fraction using the steps below
Answer:
Step-by-step explanation:
3.1x10 = 31, and 9x10=90, so the fraction is 31/90, whcih equals 3.44444444 . . .
A city bus goes 18miles in 30 minutes . HOW far does it go in 2 minutes?
Answer:
the city bus would cover 6 miles in 10 minutes.
Step-by-step explanation:
18 miles = 30 minutes
? miles = 10 minutes
cross multiply
? x 30 = 18 x 10 (180)
? = 180/30
? = 6
the city bus would cover 6 miles in 10 minutes.
8z + 6 = 7z + 4
I need help with it please show the steps
3over 7 = blank over 35
Let blank be x
[tex]\\ \sf\longmapsto \dfrac{3}{7}=\dfrac{x}{35}[/tex]
[tex]\\ \sf\longmapsto 7x=35(3)=105[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{105}{7}[/tex]
[tex]\\ \sf\longmapsto x=15[/tex]
triangular field having the length of sides are 42m, 34m and 20m respectively. find the area of the field (need this answ with full explanation)
Answer:
[tex]A = 336[/tex] [tex]m^{2}[/tex]
Step-by-step explanation:
Using the formulas
[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]
[tex]s=\frac{a+b+c}{2}[/tex]
Solving for [tex]A[/tex]
[tex]A=\frac{1}{4} \sqrt{-a^{4}+2(ab)^{2} +2(ac)^{2} -b^{4} +2(bc)^{2}-c^{4} }[/tex]
[tex]=\frac{1}{4} *\sqrt{-42^{4} +2*(42*34)^{2}+2*(42*20)^{2} -34^{4} +2*(34*20)^{2} -20^{4} }[/tex]
[tex]=336m^{2}[/tex]
Answer:
✌ just because that what the answer is I just know it cuz im right
Solve for x
please give an explanation
[tex]293 {8}^{?} \sqrt{96} [/tex]
Find the upper quartile for the data. {9, 6, 13, 8, 8, 10, 9.5, 8, 7.5, 8.5}
A. 9
B. 9.5
C. 10
D. 8.5
Answer:
the answer is 9.5 (B)
Step-by-step explanation:
porfavor ayuda ayuda
Answer:
b is 3/5 then 9/5 and lastly 15/25
c is 2/3 then 6/12 then 12/18
¿What are Fractions?
Fractions is that fraction whose fractional number is the expression of a quantity divided by another quantity; that is, it represents an unrealized quotient of numbers.
[tex] \bold{a) \dfrac{2}{4} = \dfrac{4}{8} = \dfrac{6}{12} = \dfrac{8}{16} = \dfrac{10}{20} }[/tex]
[tex]\bold{b) = \dfrac{3}{5} = \dfrac{6}{10} = \dfrac{9}{15} = \dfrac{12}{20} = \dfrac{15}{25} }[/tex]
[tex] \bold{c) \dfrac{2}{3} = \dfrac{4}{6} = \dfrac{6}{12} = \dfrac{10}{15} = \dfrac{12}{18} }[/tex]
plz help answer the following questions
A jewelry supply shop buys silver chains from a manufacturer for c dollars each, and then sells the chains at a 57-percent markup. Write the markup as a decimal, A expression for the retail price silver chain, a retail price of a silver chain purchased for 45 dollars, and how much was added to the original price of the chain
( if you answer all the questions i will mark you the Brainy-est. )
The amount added to the original price of the jewelery is the Markup price. Hence, the amount added is $16.34
Markup = 57% = 0.57Cost of jewellery = cRetail price = $45Retail price = cost of jewellery + Markup
$45 = c + 0.57c
45 = 1.57c
Divide both sides by 1.57
c = 45/1.57
c = $28.66
The Markup price = (Retail price - Original price)
Markup = $45 - $28.66 = $16.34Therefore, the amount added to the original price is $16.34
Learn more : https://brainly.com/question/18796573
1/5 divided by 2/3 help meee loll
Answer:
3/10 or 0.3
Hope this helps
the awnser is 0.3 .......................
An investor invests $525 in stock. For each month following, the stock increased at a rate of $25 per
month
Identify the slope of the linear relationship. Explain what the slope represents in the context of the
problem
• identify the y-intercept of the linear relationship. Explain what the y-intercept represents in the
context of the problem.
Create a model/build the function/write the equation in slope-intercept form to represent the total
value of the stock, f (2), based on the number of months, I.
Answer: f(x) = mx+ b
slope = m = $25 / month
This means that for every month (x) that goes by, the total value of the stock (f(x)) will increase by $25.
y-intercept = b = $525
This is the amount of money in the account at time = 0. This will be equal to the original investment of $525.
f(x) = mx+ b = 25x + 525
Step-by-step explanation: