Determine the smallest integer value of x in the solution of the following inequality
Answers
Answer:
-2
Step-by-step explanation:
4x - 7 > -17
(add 7 on both sides)
4x > -10
(divide both sides by 4 to isolate x)
x > - 2.5
An integer can not be a fraction. So the smallest integer value x can be is -2 because -2 is greater than -2.5.
Related Questions
What is the value of 1027
A. 100
B. 1,000
C. 10,000
D. 100,000
Answers
Answer:
huh? this doesn't even make sense or I'm just tripib
Step-by-step explanation:
-xoxo
Solve the differentiable equation if possible:
Answers
D/dt [e^-t y] = te^-t
D/dt [e^-t y] dt = te^-t dt
E^-t y = te^-t dt
E^-t y = -te^-t - e^-t + C
Answer: y= -t -1 + C/e^-t
100 POINTS! show work or i report!
Michael purchases a refrigerator for $4,000. On average, it costs $120 per year in electricity to leave it running 24/7. What is the average yearly cost to own and operate this refrigerator at the end of 6 years?
Answers
Answer:
$4,720
Step-by-step explanation:
$4,000 fridge
$120/1 year
[tex]\frac{120}{1} = \frac{x}{6}[/tex]
120 * 6 = 720
720 / 1 = 720
$720 for 6 years
720 + 4,000 = 4,720
$4,720
Answer:
$4,720
Step-by-step explanation:
1) Trent made a scale drawing of the elementary school. The schoolyard, which is 85
meters wide in real life, is 102 millimeters wide in the drawing. What scale did Trent use?
6 millimeters:
Answers
The scale Trent used for his elementary school which has a school yard of 85
meters wide in real life and 102 millimetre wide in drawing is 51 : 42500
Firstly, let's do the conversion of the units
1 meters = 1000 millimetres
85 meters = ?
cross multiply
length in millimetres = 85 × 1000 = 85000 millimetres
Since the schoolyard width is 85000 millimetres in real life but it's 102 millimetres wide in drawing , the scale will be as follows:
= 102 / 85000
= 51 / 42500
Therefore, the scale is as follows:
51 : 42500
learn more: https://brainly.com/question/25328409?referrer=searchResults
A scale is chosen to plot the large graphs on smaller paper representing each unit by a supposed unit.
1.2 mm is used to represent 1 meter.
In the scale given the 102 mm is drawn to represent 85 meters.
So dividing the graph line with the original length the scale Trent has used can be found.
102/85= 1.2
This shows that 1.2 mm is used to represent 1 meter.
Multiplying 85 with 1.2 gives 102 .
https://brainly.com/question/25798457
Help please! Mathematics as a teen isn’t my strong suit
Also, number 15) has4 columns and 6 rows
Answers
Answer:
ang masasabi ko lang thans sa points
Step-by-step explanation:
salamat sa pointsmore points to come50 points ulit haA BIOCHEMICAL RESEARCH COMPANY PRODUCES 50% OF ITS INSULIN AT A PLANT IN KANSAS CITY, AND THE REMAINDER IS PRODUCED AT A PLANT IN JEFFERSON CITY. QUALITY CONTROL HAS SHOWN THAT.5% OF THE INSULIN PRODUCED AT THE PLANT IN KANSAS CITY IS DEFECTIVE, WHILE 1.35% OF THE INSULIN PRODUCED AT THE PLANT IN JEFFERSON CITY IS DEFECTIVE. WHAT IS THE PROBABILITY THAT A RANDOMLY CHOSEN UNIT OF INSULIN CAME FROM THE PLANT IN JEFFERSON CITY GIVEN THAT IT IS DEFECTIVE?
Answers
The probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that is defective is 72.97%.
Given that a biochemical research company produces 50% of its insulin in Kansas and the rest in Jefferson, and 0.5% of Kansas's insulin is defective, while 1.35% of Jefferson's also is defective, to determine what is the probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that it is defective, the following calculation must be performed:
0.5 + 1.35 = 1.85 1.85 = 100 1.35 = X 1.35 x 100 / 1.85 = X 72.97 = X
Therefore, the probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that is defective is 72.97%.
Learn more in https://brainly.com/question/15462248
ROUND OF THE UNDERLINED DIGIT IN EACH DICEMAL NUMBER
1. 25.5678
2.0.8974
3.12.9542
Answers
Answer:
I think 25.5678
it's the correct answer
Step-by-step explanation:
gamsahamnida
Help help help help help help
Answers
Answer:
b
gnzjfzjgzjxjgzfjsngdjgsjfzgjskzjtztjsgjd5uduajai
3 of 8
Write 264 as a product of primes.
Use index notation when giving your answer.
Answers
Answer: The prime factors of 2 × 2 × 2 × 3 × 11. The final answer is 264.
A racing car on the straight accelerates from 100 km/h to 316 km/h in three seconds.
What is its acceleration?
40m/s2
30m/s2
20m/s2
72m/s2
Answers
the correct answer whould be 65.62. but that is not a option for you so I dont know. try 72 it's the closest.
The points (9,21) and (21,49) form a proportional relationship. Find the slope in fraction form or simplest form. Then use the slope to graph the line.
Answers
Answer:
I think it's -28/-12
Step-by-step explanation:
y-y/x-x
Which repression is equivalent to:
(Picture)
Answers
Answer:
sry I just wanted the points I'm in middle school so I don't know this stuff either but can you give free brainlyest I'm soo close to my next rank I'd really appreciate it if you would
Two cyclists are 7 miles apart when they begin biking away from each other in opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of the second cyclist is b miles per hour greater than the speed of the first cyclist. how many miles does the second cyclist bike in 45 mins?
Answers
Answer:
Step-by-step explanation:
45 minutes is 3/4 hr.
(3/4)(12 + b) = 9 + 3b/4 miles
An oddly-shaped water bottle holds 30.5 L of water. If the water bottle is 2/3 full, how many L are in the water
bottle?
Answers
Answer: 2/3 of 30.5 is 20.3333333333
In a recent tennis tournament, women playing singles matches used challenges on 133 calls made by the line judges. Among those challenges, 31 were found to be successful with the call overturned. a. Construct a 90% confidence interval for the percentage of successful challenges. b. Compare the results from part (a) to this 90% confidence interval for the percentage of successful challenges made by the men playing singles matches: 20.9%
Answers
Using the z-distribution, it is found that the 90% confidence interval for the percentage of successful challenges is (17.28, 29.34).
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
31 out of 133 challenges were successful, hence:
[tex]n = 133, \pi = \frac{31}{133} = 0.2331[/tex]
90% confidence level, hence [tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so [tex]z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2331 - 1.645\sqrt{\frac{0.2331(0.7669)}{133}} = 0.1728[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2331 + 1.645\sqrt{\frac{0.2331(0.7669)}{133}} = 0.2934[/tex]
As percentages:
0.1728 x 100% = 17.28%
0.2934 x 100% = 29.34%
The 90% confidence interval for the percentage of successful challenges is (17.28, 29.34).
A similar problem is given at https://brainly.com/question/16807970
5) Placido pulls a rope attached to a wagon through a pulley at a rate of q m/s. With dimension as in Figure 5:
(a) Find a formula for the speed of the wagon in terms of q and the variable x in the figure.
(b) Find the speed of the wagon when x=0.6 if q=0.5 m/s.
Answers
The formula for the speed of the wagon can be found by using Pythagoras theorem, and chain rule of differentiation.
[tex](a) \ \mathrm{The \ speed \ of \ the \ wagon} , \ \dfrac{dx}{dt} = q -\dfrac{x}{\sqrt{x^2+ 5.76}}[/tex]
(b) When x = 0.6 and q = 0.5 m/s, the speed of the wagon is approximately 0.243 m/s.
Reasons:
(a) The distance from the cart to the pulley, r is given by Pythagoras's
theorem as follows;
r = √((3 - 0.6)² + x²) = √(2.4² + x²)
The speed of the wagon = [tex]\mathbf{\dfrac{dx}{dt}}[/tex]
The speed of the rope, q = [tex]\mathbf{\dfrac{dr}{dt}}[/tex]
By chain rule, we have;
[tex]\dfrac{dr}{dt} = \mathbf{\dfrac{dr}{dx} + \dfrac{dx}{dt}}[/tex]
[tex]\dfrac{dr}{dx} = \dfrac{x}{\sqrt{x^2+ 5.76}}[/tex]
Therefore;
[tex]\dfrac{dr}{dt} = q =\dfrac{x}{\sqrt{x^2+ 5.76}}+ \dfrac{dx}{dt}[/tex]
[tex]\mathrm{The \ speed \ of \ the \ wagon} , \ \dfrac{dx}{dt} = \underline{ q -\dfrac{x}{\sqrt{x^2+ 5.76}}}[/tex]
(b) The speed of the wagon when x = 0.6 if q = 0.5 m/s is given as follows;
[tex]\dfrac{dx}{dt} = 0.5 -\dfrac{0.6}{\sqrt{0.6^2+ 5.76}} =\sqrt{\dfrac{1}{17} } \approx 0.243[/tex]
The speed of the wagon when x = 0.6 and q = 0.5 m/s, [tex]\dfrac{dx}{dt}[/tex] ≈ 0.243 m/s
Learn more here:
https://brainly.com/question/17081984
On a sunny day, Jameson casts a shadow of 11 feet and the lamppost in the parking lot casts a shadow of 66 feet. If Jameson is 6 feet tall, how tall in the lamppost?
Answers
Answer:
36 feet
Step-by-step explanation:
shadow/height = shadow/height
11/6 = 66/h
h = 66 * 6 / 11
h = 36
(I am giving branlest) (plz help only if you understand )
Which expression has the sum of twenty six twentieths?
two fifths plus four tenths
four fifths plus two fourths
one half plus three tenths
three fourths plus two fifths
Answers
b. four fifths plus two fourths
Step-by-step explanation: Change the fractions to their equivalents in 20ths-- like finding the common denominator.
Divide the original denominator into 20, then multiply the result by the original numerator to get the new numerator.
4/5 20/5 = 4 4×4 = 16 so 4/5 is equivalent to 16/20
2/4 20/4 = 5 5×2 = 10 so 2/4 is equivalent to 10/20
Add: 16/20 + 10/20 = 26/20
brainliest me
What is the answer for my question
33.22 x 34.98 =
Answers
Answer:
1162.0356
Step-by-step explanation:
Bidula has to buy some cups of tea at the rate of Rs. 10 and 3 packets of biscuits at the rate of Rs. 45 .How many maximum cups of tea can she buy with Rs. 332?
Answers
Answer:
19 cups
Step-by-step explanation:
Let c represent the number of cups of tea. The total cost will be ...
10c +3(45) ≤ 332
10c ≤ 197 . . . . . . . . . . . subtract 135
c ≤ 19.7
Bidula can buy up to 19 cups of tea with ₹332.
chapter 6.4 : Problem 4
Answers
Answer:
wdym
Step-by-step explanation:
Clayton Burrington purchased the following school supplies on s
$2.79 notebook for $1.99, a $1.49 ballpoint pen for $0.99, a $1.99 p
notebook paper for $0.99, and a $3.49 automatic pencil for $2.79.
Clayton estimated the total savings to be $7.00. (a) Is the answer
reasonable? (b) If not, what error was made?
Answers
Answer:
The answer is not reasonable.
The error that Clayton made was that he accidentally added all of the products that had a saved price tag on it, he did not find the difference between the old price and the new, sales price.
Step-by-step explanation:
Hope this helps :) Mark me brainliest if anyone else answers this question.
If x−3=5, what is the value of 2(x+4)?
Answers
Answer:
24
Step-by-step explanation:
x-3=5, solve for x so that x=5+3
now put this in place of x in the expression 2(x+4)
2[(5+3)+4]
2(8+4)
2(12)
24
So 2(x+4) = 2(8+4) = 2. 12 = 24
Ok done. Thank to me:>
He are you able to solve these
Answers
Solve three fourths times two thirds help meeeeeee
Answers
Answer:
1/2
Step-by-step explanation:
2/4 x 2/3
Ok so we times top numbers
2 x 2 which is 4
Now bottom numbers
3 x 4 = 12
So the fraction is 4/12
We need to simplify so we divide by 4
Answer : 1/3
or you could do this
2/4 x 2/3
2/4 = 1/2
So 0.5 x 2/3
Which is 1/3
Which is a recursive formula for this geometric sequence? -320, -80, -20, -5, . . .
Answers
The recursive formula for the geometric sequence is:
[tex]f(n) = \frac{1}{4}f(n - 1), f(1) = -320[/tex]
What is a geometric sequence?A geometric sequence is a sequence in which the coefficient of consecutive terms is always the same, called common ratio q.The recursive equation for a geometric sequence is:
[tex]f(n) = qf(n - 1)[/tex]
With f(1) as the first term.In this problem, the sequence is: {-320, -80, -20, -5, . . .}
The first term is [tex]f(1) = -320[/tex].The common ratio is [tex]q = \frac{-80}{-320} = \frac{1}{4}[/tex]Hence, the recursive equation is:
[tex]f(n) = \frac{1}{4}f(n - 1), f(1) = -320[/tex]
You can learn more about geometric sequence at https://brainly.com/question/11847927
The required recursive formula is expressed as [tex]a_{n-1}=-320(\frac{1}{4} )^n[/tex]
Geometric progressionThe required recursive formula is expressed as [tex]a_{n-1}=-320(\frac{1}{4} )^n[/tex]
n the following sequence -320, -80, -20, -5,...
The The required recursive formula is expressed as [tex]a_{n-1}=-320(\frac{1}{4} )^n[/tex]is given as:
r = -80/-320 = -20/-80 = 1/4The first term = -320The required recursive formula is expressed as [tex]a_{n-1}=-320(\frac{1}{4} )^n[/tex]
Learn more on geometric functions here: https://brainly.com/question/222209
2 Which of the following would result in a
rotation 360° counterclockwise about the
origin?
® (x,y) - (-Y. -x)
© (x, y) - (-y, x)
(x, y) - (-x, -Y)
(x,y) - (x, y)
Answers
Answer:
(d) (x,y) ⇒ (x, y)
Step-by-step explanation:
Rotation 360° about any point brings the object back to its original location. The coordinates are unchanged.
(x,y) ⇒ (x, y)
-3 1/8 divided by 3 3/4 = ?
whats the answer to this question, and what you did to get this answer
Answers
Answer:
-5/6
Step-by-step explanation:
1. Change 3/4 to 6/8 by cancelling the common factors.
2. Divide how you normally would
Answer:
- [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
-3[tex]\frac{1}{8}[/tex] ÷ 3[tex]\frac{3}{4}[/tex]
[tex]\frac{-25}{8}[/tex] ÷ [tex]\frac{15}{4}[/tex]
[tex]\frac{-25}{8}[/tex] × [tex]\frac{4}{15}[/tex]
[tex]\frac{-100}{120}[/tex]
[tex]\frac{-50}{60}[/tex]
- [tex]\frac{5}{6}[/tex]
* Keep in mind that - [tex]\frac{5}{6}[/tex], [tex]\frac{-5}{6}[/tex], and [tex]\frac{5}{-6}[/tex] mean the same thing!
First, I converted -3 1/8 and 3 3/4 to improper fractions. I then switched the sign of division to multiplication and changed 15/4 to 4/15. I then multiplied -25 with 4 and 8 with 15, resulting in -100/120. I simplified this to -5/6.
Hope this helps, and if you have any questions, let me know!
if someone helps me with dis ill give u brainliest
Answers
Answer:
(25, 30) = 150 ,300 450
(15, 24) = 120 225 300
Step-by-step explanation:
Prime Factorization of 15 is:
3 x 5 => 3^1 x 5^1
Prime Factorization of 24 is:
2 x 2 x 2 x 3 => 2^3 x 3^1
Prime Factorization of 25 is:
5 x 5 => 5^2
Prime Factorization of 30 is:
2 x 3 x 5 => 2^1 x 3^1 x 5^1
Yoko, Austin, and Dante served a total of 105 orders Monday at the school cafeteria, Yoko served 9 fewer orders than Austin. Dante served 4 times as many
orders as Yoko. How many orders did they each serve?
Answers
Answer:
Austin: [tex]25[/tex]
Dante: [tex]64[/tex]
Yoko: [tex]16[/tex]
Step-by-step explanation:
Total: [tex]105[/tex]
Austin: [tex]y+9[/tex]
Dante: [tex]4y[/tex]
Yoko: [tex]y[/tex]
Equation:
[tex]y+9+4y+y=105\\6y+9=105\\6y=96\\y=16[/tex]
Invisible Steps:
Combine like terms: [tex]y+y+4y=6y[/tex]
Subtract 9 from each side: [tex]6y+9-9=6y[/tex]
[tex]105-9=96[/tex]
Divide by 6 on each side: [tex]6y[/tex] ÷ [tex]6=y[/tex]
[tex]96[/tex] ÷ [tex]6 = 16[/tex]