Answer:
8 500 000
Step-by-step explanation:
since it for the hundred thousand round off, we consider the ten thousand place value if it would have an effect on the hundred thousand place value.
In our case it did not have effect because it is below 5
1) Company A charges $55 per hour and a service charge of $250 and Company B charges $60
per hour and a service charge of $225. At what time are they equal?
Answer:
5 hours
Step-by-step explanation:
Charlie and Daniella each began a fitness programme. On day one, they both ran 500m. On each subsequent day, Charlie ran 100m more than the previous day whereas Daniella increased her distance by 2% of the distance run on the previous day.
(a) Calculate how far Charlie ran on day 20 of his fitness programme. (1) Daniella ran on day 20 of her fitness programme. On day n of the fitness programmes, Daniella runs more than Charlie for the first time.
b) Find the value of n
Answer:
a) 2400m on the 20th day for Charlie.
1) 728.41m of 20th day for Daniella.
Didn't find n, sorry.
Charlie ran 2400m on day 20 of his fitness program and Daniella ran 728m on day 20 of her fitness program.
It is given that Charlie and Daniella on day one both ran 500m on each subsequent day.
Charlie ran 100m more than the previous day.
Daniella increased her distance by 2% of the distance run on the previous day.
It is required to calculate how far Charlie and Daniella ran on day 20 and the value of n.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
Charlie ran 500m on the first day:
[tex]\rm a_1 = 500[/tex]
[tex]\rm a_2 =600[/tex] ( because charlie ran 100m more than the previous day)
It is an arithmetic progression in which the difference between two consecutive terms:
d = 600 - 500 ⇒ 100
and [tex]\rm a_n = a+d(n-1)[/tex]
[tex]\rm a_2_0 = 500+100(20-1)\\\\\rm a_2_0 = 2400m[/tex]( ∵ n = 20 )
Daniella ran 500m on the first day:
[tex]\rm b_1 = 500[/tex]
[tex]\rm b_2 = 500+ 500\times2 \%[/tex] (because Daniella increased her distance by 2% of the distance run on the previous day)
We can write [tex]\rm n^t^h[/tex] terms:
[tex]\rm b_n= 500(1+2\%)^n^-^1[/tex]
[tex]\rm b_2_0= 500(1+2\%)^2^0^-^1[/tex]
[tex]\rm b_2_0= 500(1+0.02)^1^9\\\\\rm b_2_0 = 500\times 1.02^1^9\\\\\rm b_2_0 = 500\times1.456 \Rightarrow 728.40 \approx 728 m[/tex]
[tex]\rm b_n > a_n[/tex] (given in the question)
[tex]\rm500(1+2\%)^n^-^1 > 500+100(n-1) \ \ or \\\\\rm500(1+2\%)^n^-^1 > 100n+400[/tex]
The above expression is not true for all the values of 'n' ie. 'n' can not be determined.
Thus, Charlie ran 2400m on day 20 of his fitness program and Daniella ran 728m on day 20 of her fitness programme.
Learn more about the sequence here:
brainly.com/question/21961097
4(x-3) < x+3, Where x ∈ W
Please help me
[tex]\large\underline{\sf{Solution-}}[/tex]
Given:
[tex]\rm\longmapsto 4(x-3)<x+3, x\in \mathbb{W}[/tex]
[tex]\rm\longmapsto 4x-12<x+3[/tex]
[tex]\rm\longmapsto 4x-12-x<x+3-x[/tex]
[tex]\rm\longmapsto 3x-12<3[/tex]
[tex]\rm\longmapsto 3x-12+12<3+12[/tex]
[tex]\rm\longmapsto 3x<15[/tex]
[tex]\rm\longmapsto \dfrac{3x}{3}<\dfrac{15}{3}[/tex]
[tex]\rm\longmapsto x<5, x\in\mathbb{W}[/tex]
[tex]\large\underline{\sf{Answer-}}[/tex]
Therefore:
[tex]\rm\longmapsto x=\{0,1,2,3,4\}\ \ \ [/tex]
Determine whether the graph represents a proportional relationship. A graph is shown. The x-axis is labeled from 0 to 16. The y-axis is labeled from 0 to 16. Four points are shown on the graph on ordered pairs 0, 2 and 1, 6 and 2, 10 and 3, 12. These points are joined by a line. The label on the x-axis is Number of Cars. The title on the y-axis is Number of Wheels. Yes, it is a proportional relationship because the graph goes through the origin Yes, it is a proportional relationship because the graph is a straight line No, it is not a proportional relationship because the graph is not a straight line No, it is not a proportional relationship because the graph does not go through the origin
Answer:
no its not a proportion
Step-by-step explanation:
because the line has to be straight unless the graph is scrap
Answer:
"Yes, it is a proportional relationship because the graph is a straight line"
Step-by-step explanation:
Your welcome ^^
math models help PLEASE!
(20x5+10)-(8x8-4)
a . 58
b. 50
c. 40
Answer:
Answer is C, 40
Step-by-step explanation:
(100)-(60)
You need spoons, cones, and bowls for your store. The spoons come in packs of 100, cones come in packs of 60, and cups come
in packs of 80.
1. How many spoons, cones, and cups will you have if you order 8 packs of each?
2. How many customers will you be able to serve? Will every person need a cup, spoon, and a cone?
3. If you estimate that you will have 1500 customers next week, how would you change your order to make sure everyone can be served?
Step-by-step explanation:
Number 1
Number of spoons= no of boxes × individual no of spoons
= 100 × 8 = 800 spoons.
Number of cones = no of cones in a box × no of boxes
= 60 × 8 = 480
Number of cup = no of cups in a box × no of boxes
= 80 × 8 = 640.
Total = 800 + 480 + 640 = 1920
Number 2
If everyone needs a cup, spoon and cones, it means they all need 3 items.
no of people you can serve = 1920 ÷ 3
= 640 people.
How much did i paint if i painted 3/4 of 3/4 of a wall
Answer:
(4) 1/4x = 3/4 (4)
1x=3
Step-by-step explanation:
3/4 x
÷ = ÷
1/4 1
(4) 1/4x = 3/4 (4)
1x=3
Ln(x)+ln(x+7)=1
solve this log equation
f(x) = 2/3x + 3 what is the value of f(12)?
Answer:
11
Step-by-step explanation:
f(12) means that we plug 12 into our x value since the function is f(x) which will be solved as the following:
2/3x + 3
2/3(12) + 3
8 + 3
11
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Calculate SP (the sum of products of deviations) for the following scores. Note: Both means are whole numbers, so the definitional formula works well: X Y 4 5 0 2 1 1 3 4
Applying the formula, it is found that the SP for both numbers is of 7.
The first step is finding the mean for both sets, hence:
[tex]M_x = \frac{4 + 0 + 1 + 3}{4} = 2[/tex]
[tex]M_y = \frac{5 + 2 + 1 + 4}{4} = 3[/tex]
Then, the SP(sum of products of deviations) is the sum of the multiplications between each value x and the mean, with each respective value of y(same index) and the mean, hence:
[tex]SP = (4 - 2)(5 - 3) + (0 - 2)(2 - 3) + (1 - 2)(1 - 3) + (3 - 2)(3 - 4) = 7[/tex]
The SP for both numbers is of 7.
A similar problem is given at https://brainly.com/question/20640860
4)
4826 Fans attended the
Bears vs. Wildcats footbal game.
The number of Wildcat fans was
250 less than three times the
number of Bear fans in attendance
How many Wildcat fans were at
the game? How many
Bear Fans were there?
The number of Wildcat fans were at the game is 3557.
The number of bears fans at the game is 1269.
Let:
W = number of wildcats fans at the game
B = number of bears fans at the game.
The total number of fans at the game: W + B = 4826
This equation can be used to represent the number of wildcats fans at the game: W = 3b - 250
Replace for w in the above equation:
3b - 250 + b = 4826
To determine the value of b, take the following steps
Combine and add similar terms
4b = 5076
Divide both sides by 4
b = 1269
To determine the value of w, substitute for b in the first given equation.
W + 1269 = 4826
w = 4826 - 1269
w = 3557
To learn more, please check: brainly.com/question/23589883?referrer=searchResults
A man flies a kite 354 feet in the air when he runs out of string, what is the angle of elevation if he had 200 yards of string to begin with
Answer:
Step-by-step explanation:
Assuming the string is straight (it will not be so due to gravity and wind load)
θ arcsin(354 / (200(3)) = 36°
Numeros comprendidos entre 20
One, two, three, four, five, six, seven, eight, nine, ten, eleven, twelve, thirteen, fourteen, fifteen, sixteen, seventeen, eighteen, and nineteen/Uno, dos, tres, cuatro, cinco, seis, siete, ocho, nueve, diez, once, doce, trece, catorce, quince, dieciséis, diecisiete, dieciocho y diecinueve
Solve for x: -2x - 4> 8
X<-6
X> -6
0x<-2
X>-2
Answer:
x < -6
Step-by-step explanation:
-2x - 4 > 8
the first step is to add 4 to both sides since we need to get x alone on one side
-2x - 4 > 8
+4 +4
so we are left with -2x > 12
we still need to get x alone so we have to divide -2 from both sides
always remember that if you divide by a negative number the inequality flips!! so instead of > it will be <.
-2x/-2 = x
12/-2 = -6
so the answer is x < -6
On a particular stretch of highway, the State Police know that the average speed is 62 mph with a standard deviation of 5 mph. On a busy holiday weekend, the police are concerned that people travel too fast. So they randomly monitor speeds of a sample of 50 cars and record an average speed of 66 mph. Use central limit theorem to calculate
Using the normal distribution and the central limit theorem, it is found that there is a 0% probability of a sample of 50 cars recording an average speed of 66 mph or higher.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
Mean of 62 mph, hence [tex]\mu = 62[/tex].Standard deviation of 5 mph, hence [tex]\sigma = 5[/tex].Sample of 50 cards, hence [tex]n = 50, s = \frac{5}{\sqrt{50}} = 0.7071[/tex]The probability of a sample of 50 cars recording an average speed of 66 mph or higher is 1 subtracted by the p-value of Z when X = 66, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{66 - 62}{0.7071}[/tex]
[tex]Z = 5.66[/tex]
[tex]Z = 5.66[/tex] has a p-value of 1.
1 - 1 = 0.
There is a 0% probability of a sample of 50 cars recording an average speed of 66 mph or higher.
A similar problem is given at https://brainly.com/question/24663213
Answer of what is QS
Check the picture below.
and let's not forget that the midsegment of a triangle is always half its parallel base.
[tex]\stackrel{midsegment}{AB}=\cfrac{\stackrel{base}{QS}}{2}\implies 16=\cfrac{QS}{2}\implies 32=QS[/tex]
Determine f(4)+2×g (2)
Answer:
4f+4g
Step-by-step explanation:
What’s 28.50 simplified
Answer:
28.5
Step-by-step explanation:
hope this helps
Answer:
57/2
Step-by-step explanation:
I don't understand the context of this.
Can someone help me please
Answer:
answer for question 7. 0.17×70 = $11.9
Answer:
Question 1:
bill = $70
tip percentage = 17%
so tip = 70x(17/100)
= 11.9$
Question 2:
total voters = 20500
supported voters percentage = 49%
so supported voters = 20500x(49/100)
= 10045
Question 3:
price = 154$
vat percentage =5%
so vat = 154x(5/100)
= 7.7$
What is the slope of the line ?
Answer:
y = -3x + 4
Step-by-step explanation:
Use the slope intercept equation y = mx + b.
b is the y-intercept which is 4 in this equation.
The slope can be found from a graph using rise over run. This graph is decreasing so the slope is negative. Therefore, the slope is -3.
What is the better buy?
16 oz of goldfish for $4.75
9 oz of goldfish for $2.50
Answer:
Maybe 9 oz, if I’m wrong sorry! D:
What is the value of m
35.6 355⅝5555555555555555555545455555555
if in a game of glass stepping stones. there are 18 tiles of glass. two in each row. one is tempered and will be fine if you jump on it. and the other will break. if 1 player was to play what are his/her chances of getting across?
(NO links)
Answer:
10
Step-by-step explanation:
A dog slept from 10:51 p.m. to 1:22 a.m. how long does a dog sleep
Answer:
2 hours and 31 minutes
Step-by-step explanation:
10:51 +9 =11:00
+ 2 hours = 1:00 +22 = end time
so added together 22+9= 31 + the 2 hours = 2 hours and 31 minutes
The number 40.8 is what percent of 68?
Fran has a monthly income of $2940, and budgets 9% of that amount for groceries.
How much money does she budget for groceries each month?
State your answer in terms of dollars, rounded to the nearest whole dollar.
Answer: $265
Step-by-step explanation: Fran has a monthly income of $2940, and she budgets 9% of it for groceries. 9% of $2940 is $265 dollars.
Hope this helps!
Convert (-6, -6) from Cartesian coordinates to polar coordinates. Round the length to the nearest 0.01 Express the
angle in degrees where is between 0 and 360°, and round to the nearest 0.1 degree. Do not enter the degree
symbol in the answer
9514 1404 393
Answer:
(8.49; 225°)
Step-by-step explanation:
The angle is a 3rd-quadrant angle. The reference angle will be ...
arctan(-6/-6) = 45°
In the 3rd quadrant, the angle is 45° +180° = 225°.
The magnitude of the vector to the point is its distance from the origin:
√((-6)² +(-6)²) = √(6²·2) = 6√2 ≈ 8.4859 ≈ 8.49
The polar coordinates can be written as (8.49; 225°).
_____
Additional comment
My preferred form for the polar coordinates is 8.49∠225°. Most authors use some sort of notation with parentheses. If parentheses are used, I prefer a semicolon between the coordinate values so they don't get confused with an (x, y) ordered pair that uses a comma. You need to use the coordinate format that is consistent with your curriculum materials.
SOLVE THE CORRECT ANSWER!
1.234.45 added to the difference of 89 and 23.765
2. increase 234.57 by the difference of 5.23 and 2.678
3.subtract 68.501 from the sum of 21.54
and 80.27
please paki answer po ng maayos need ko po ng solution
Step-by-step explanation:
1.
123445+(89-23765)=99769
2.
234.57+(5.23-2.678)=237.122
3
(21.54+ 80.27)-68.501=33.309
Plot the point (6, 0) on the coordinate plane.
Answer:
Just go to the 6 on the bottom line, and add a point
Answer:
see below
Step-by-step explanation:
(6,0)
The first coordinate is the x coordinate. Since it is positive we go to the right 6 units. The second coordinate is the y coordinate. We go up zero units
m = -(4 + m) + 2
This is on khan academy 7 grade math.
If correct answer will mark Brainlyest
Answer:
-1
sorry if this is wrong I really am
Answer:
m= -1
Step-by-step explanation:
Have a nice day