[tex]b = 2 - \dfrac 1a\\\\\implies ab = 2a -1\\\\\implies 2a -ab = 1\\\\\implies a(2-b) =1\\\\\implies a = \dfrac 1{2-b}[/tex]
Claudia trabaja en una fábrica de carritos de supermercado, como criterio de calidad de la fábrica se establece que un carrito con mercancia que tenga una masa de 30kg no debe superar los 30N de fuerza de empuje para comenzar a moverse, ni los 20N para mantenerse en movimiento, cual es el valor de la aceleración que experimentara al soltarse?
El carro de mercancía experimenta una aceleración neta de 0.333 metros por segundo al cuadrado al soltarse.
En esta situación se requiere una fuerza de 30 N para alcanzar la fuerza estática máxima ([tex]f_{s}[/tex]), entonces la fuerza de fricción ([tex]f_{k}[/tex]) se reduce a 20 N mientras se encuentre en movimiento. Si consideramos que la fuerza externa de 30 N se mantiene durante el fenómeno físico, entonces tenemos que la aceleración neta ([tex]a[/tex]), en metros por segundo al cuadrado, experimentada por el carrito de mercancía es determinada a partir de las leyes de Newton:
[tex]a = \frac{F-f_{k}}{m}[/tex] (1)
Donde [tex]m[/tex] es la masa del carrito de mercancía, en kilogramos.
Si sabemos que [tex]F = 30\,N[/tex], [tex]f_{k} = 20\,N[/tex] and [tex]m = 30\,kg[/tex], entonces la aceleración neta del carro de mercancías es:
[tex]a = \frac{30\,N-20\,N}{30\,kg}[/tex]
[tex]a = 0.333\,\frac{m}{s^{2}}[/tex]
El carro de mercancía experimenta una aceleración neta de 0.333 metros por segundo al cuadrado al soltarse.
Invitamos a consultar esta pregunta sobre la fricción seca: https://brainly.com/question/19115001
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!
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
The number 40.8 is what percent of 68?
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
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
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.
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]
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.
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
Graph this equation on the coordinate plane. y=−4/5x−1
Answer:
I attached an image.
Step-by-step explanation:
Answer:
(X then y)
(0,-1) (5,-5)
Step-by-step explanation:
I did the test
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
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.
This table represents the number of pounds, p, a puppy grows after w, weeks.
When graphed, all of the points in the table lie on the same line.
What is the slope and y-intercept of the line?
slope=−94, y-intercept=−0.8
slope=−49, y-intercept = 2
slope=49, y-intercept=−0.8
slope=94, y-intercept = 2
Weeks, w Weight in pounds, p
0 2
2 6.5
4 11
6 15.5 help plz
Answer:
the answer is slope=94, y-intercept = 2
Step-by-step explanation:
i took the test
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
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
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
The original selling price was $154.30 The sale price was $127.92 What is the first step in finding the percent markdown?
Answer:
subtract the new price from the original price
Step-by-step explanation:
To find the percent markdown, first subtract the new price from the original price
154.30-127.92
26.38
Then divide by the original price
26.38/154.30
.170965651
Multiply by 100% to get the percent decrease
17.0965651% decrease
What is the value of m
35.6 355⅝5555555555555555555545455555555
Let P(t) denote the profit made by a company when t dollars are invested in advertising. The marginal profit is dP/dt .
(a) Explain the meaning of dP dt in practical terms. The expression dP dt is the additional profit expected if 1 more dollar is invested in advertising. The expression dP dt is the total profit expected if t more dollars are invested in advertising. The expression dP dt is the difference between the expected profit and the actual profit. The expression dP dt is the additional profit expected if t more dollars are invested in advertising. The expression dP dt is the total profit expected if 1 more dollar is invested in advertising.
(b) If the marginal profit is positive, should you invest more or less money in advertising
Answer:
(a) (1) The expression dP/dt is the additional profit expected if 1 more dollar is invested in advertising
(b) you should invest more when dP/dt > 0
Step-by-step explanation:
a)dP/dt is the rate of change of profit with respect to advertising dollars. That is, it tells the number of dollars the profit will increase if the advertising dollars increase by 1.
__
b)Assuming that the advertising budget is already accounted for in the profit function, it is useful to spend more on advertising if that makes the profit go up. For dP/dt > 0, you should invest more in advertising.
When dP/dt = 0, no more advertising should be purchased. When dP/dt < 0, the advertising budget should be reduced to increase profit.
Ln(x)+ln(x+7)=1
solve this log equation
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.
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:
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]
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:
Find m<1
(Picture included)
Answer:
m<1 =30
Step-by-step explanation:
[tex] < 1 + 117 + 33 = 180 \\ < 1 + 150 = 180 \\ < 1 = 180 - 150 \\ < 1= 30[/tex]
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
Someone who is unable to use a credit card after repeated failures to pay has
had their credit
A. garnished
B. defaulted
C. repossessed
D. suspended
SUBMIT
D. suspended
explanation:
Someone who is unable to use a credit card after repeated failures to pay has had their credit suspended.
Option D is the correct answer.
What is a suspended credit card?Credit card suspension is a temporary measure, and the credit card can usually be reinstated once the account is brought up up-to-date.
We have,
When a person repeatedly fails to make payments on their credit card, their credit card company may suspend their credit card.
This means that the person will not be able to use the credit card until they bring their account up-to-date and pay any outstanding balance or fees.
However, repeated failures to pay can have a negative impact on a person's credit score, which is a measure of their creditworthiness.
If the account remains delinquent, it may eventually lead to default, which is when the lender takes legal action to recover the unpaid debt.
Thus,
Someone who is unable to use a credit card after repeated failures to pay has had their credit suspended.
Learn more about suspended credit card here:
https://brainly.com/question/30940802
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Determine f(4)+2×g (2)
Answer:
4f+4g
Step-by-step explanation: