Answers
Answer:
(-∞, 3)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsInterval Notation - [Brackets] mean inclusion, (Parenthesis) means exclusionStep-by-step explanation:
Step 1: Define
5n - 13 < 4n - 10
Step 2: Solve for n
[Subtraction Property of Equality] Subtract 4n on both sides: n - 13 < -10[Addition Property of Equality] Add 13 on both sides: n < 3Here we see that any value n smaller than 3 would work as a solution to the inequality.
∴ our interval is (-∞, 3)
Related Questions
What is the value of x in the figure below if JW=17 and YW=3x+1
(will mark brainlest)
Answers
Answer:
[tex]x = 11[/tex]
Step-by-step explanation:
Given
The attached parallelogram
[tex]JW = 17[/tex]
[tex]YW = 3x + 1[/tex]
Required
Find x
JW is the midpoint of YW. So:
[tex]YW = 2 * JW[/tex]
This gives
[tex]3x + 1 = 2 * 17[/tex]
[tex]3x + 1 = 34[/tex]
Subtract 1 from both sides
[tex]3x = 33[/tex]
Divide through by 2
[tex]x = 11[/tex]
Which one, please?!
Quickly!
Answers
Answer:
c) FJ and GH
Step-by-step explanation:
So the answer is choice C) FJ and GH
Researchers interested in lead exposure due to car exhaust sampled the blood of 52 police officers subjected to constant inhalation of automobile exhaust fumes while working traffic enforcement in a primarily urban environment. The blood samples of these officers had an average lead concentration of 122.31 µg/l and a SD of 38.75 µg/l; a previous study of individuals from a nearby suburb, with no history of exposure, found an average blood level concentration of 35 µg/l.
Required:
a. Write down the hypotheses that would be appropriate for testing if the police officers appear to have been exposed to a higher concentration of lead.
b. Explicitly state and check all conditions necessary for inference on these data.
c. Test the hypothesis that the downtown police officers have a higher lead exposure than the group in the previous study. Interpret your results in context.
d. Based on your preceding result, without performing a calculation, would a 99% confidence interval for the average blood concentration level of police officers contain 35 ug/l?
Answers
Step-by-step explanation:
n = 52
x bar = 122.31
standard deviation sd = 38.75
1. the hypothesis:
null hypothesis
h0: μ ≤ 35
alternative hypothesis
h1: μ > 35
2.
we have been given the sd of the sample but not that of the population. so what we are supposed to use here is the t test and not the z test. the following conditions have to be met.
population has to be normalsample size has to be more than 30. we have sample size = 52 in this question.3.
= [tex]\frac{122.31-35}{38.75/\sqrt{52} }[/tex]
= 87.31/5.37
= 16.26
using the T distribution function in excel, the p value was calculated and found to be approximately equal to 0.
TDIST(16.26, 51, 1)
since p value is very small we reject the null and accept the alternate hypothesis.
4. from the result above the answer to this question is yes
Simplify the expression:
6(20 + 1)
=
Answers
Answer:
120+6
Step-by-step explanation:
Using distributive property 6times 20 is 120 and 6 times 1 is 6 so 120+6
A chef increases the amounts of ingredients in a recipe to make a proportional recipe.
The new recipe has 6 cups of black beans.
Black Bean Soup
1.5 cups black beans
0.5 cup salsa
2 cups water
1 tomato
2 teaspoons seasoning
write a proportion that can be used to find the cups of salsa in the new recipe
Answers
Answer:
Step-by-step explanation:
i dont know i need someone to answer that to
Answer for brainliest
Answers
Answer:
b
Step-by-step explanation:
Answer:
Y = 2x. it is given
now , 2x + 2y = 30
now putting y = 2x ,. in ( 2x + 2y) = 30
hence ,.2x + 4x = 30
6x = 30
x= 5
now ,y= 2x
y = 10
What is the volume of a hemisphere shaped coffee if the width of the coffee cup is about 16.51 cm (use 3.14 for pie)
1177.58
2355.16
18,841.25
12,850.80
Answers
Answer:
A. 1,177.58 cm³
Step-by-step explanation:
Volume of hemisphere = ⅔πr³
Radius (r) = 16.51 ÷ 2 = 8.255
π = 3.14
Plug in the values
Volume of the hemisphere-shaped cup = ⅔ × 3.14 × 8.255³
= 1,177.57783 ≈ 1,177.58 cm³
The first second and fourth terms of a proportion are 6, 18 and 25 respectively. Find
its third term.
Answers
Answer:
The third term is 25/3
Explanation:
According to the given proportion,
→ First term : second term : : third term : fourth
→ 6 : 18 : : third term : 25
→ 6/18 = third term/25
→ 6*25/18 = third term [multiplying both sides by 25]
→ 1*25/3 = third term
→ 25/3 = third term.
As a farmer, one of your responsibilities is to plow the field to prepare it for planting. On day 1, you plowed of the field. On day 2, you plowed of the field.
How much more of the field did you plow on day 1 than on day 2?
a.1/16
b.1/12
c.5/24
d.13/24
Answers
Answer:
you plowed more of the field on day 2 than on day one because minus equals
Step-by-step explanation:
If a day of the week is randomly selected, what's the probability that the day contains the letter "a" in its name?
Round your answer to four decimal places (if necessary).
Answers
Answer:
1
Step-by-step explanation:
monday, tuesday, wednesday, thursday, friday, saturday, and sunday all have "a" in it so it has a 100% probability
Answer:
There would be a 100% chance.
Step-by-step explanation:
All the days of the week end with -day. The word day has an 'a' in it.
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
Therefore, it will be certain that you will pick a day that has an 'a' in it's name.
Hope this helps!
[tex] \sqrt{x - 1} (x - 6) {}^{2} [/tex]
inflection points?
Answers
Answer:
1 and 6
Step-by-step explanation:
it is just like the roots of a polynomial, since [tex]\sqrt{x-1}[/tex](x-6)^2=0
we can separate the two pieces of the problem
\sqrt{x-1} =0
square both sides to get
x-1=0. x=1
(x-6)^2=0
square root both sides and get
x-6=0
x=6
so the two inflection points of the equation are 6 and 1
Hope that helps :)
the farmer has a field of 300m.he want to fence it with 4 rounded barbed wire . what is the total length of wire he requires
Answers
Answer:
1,200 meters.
Step-by-step explanation:
Given that the farmer has a field of 300 meters and he wants to fence it with 4 rounded barbed wire, to determine what is the total length of wire he requires, the following calculation must be performed:
300 x 4 = X
1,200 = X
Thus, the farmer needs 1,200 meters of barbed wire to be able to fence his entire field.
4) The measure of unknown angle x is.
Answers
180=110+2x
X=180-110 /2
X=70/2
X=35
wn
he quantity
8. 25% of 32.4
Answers
Step-by-step explanation:
25 percent of 32.4 is 8.1
Answer:
8.1
Step-by-step explanation:
.25x32.4=8.1
Brooklyn's family took a road trip to Mount Rushmore. Brooklyn fell asleep 72% of the way through the trip. If the total length of the trip was 400 miles, how many miles had they travelled when Brooklyn fell asleep?
Answers
Answer:
13
Step-by-step explanation:
plus 2 = 11 = 13
Answer:
The correct answer is 288
Step-by-step explanation:
72% of 400 is 288 you can do that in a calculator its common sense, its not 13.
You can sell 60 pet chias per week if they are marked as $1 each, but only 50 per week if they are marked $2 per chia. Your chia supplier is prepared to sell you 10 chias per week if they are marked $1 per chia, and 20 per week if they are marked $2 per chia. At what price should the chias be marked so that there is neither surplus nor a shortage of chias
Answers
Answer:
$1 for 60
Step-by-step explanation:
60$ is a better deal.
The any quality 5G > 45 when g is=
Answers
Answer:
the answer is 9
Step-by-step explanation:
9 x 5 = 45 so g is 9
Hope this Helped!!!!!!!!!!!!
Original amount: 27
End amount: 38.61
Increase or decrease
Answers
Answer:
increase
Step-by-step explanation:
11.61 was added to 27
150% as a simplified fraction
Answers
Answer:
It would be 3/2 as 1/2 is 50%, 2/2 or 1 is 100% and 3/2 is 150%
Step-by-step explanation:
Given the function f(x) = 4x + 1, EXPLAIN and show how to find the average rate of change between x = 1 and x = 3.
Answers
The average rate of change is calculated as the slope of the line between the two points on the graph. Since at x = 1, y = -3, and at x = 3, y = 1, these are the two points which we calculate the slope from. Using the formula
m = (y2 - y1)/(x2 - x1)
m = (1 - (-3))/(3 - 1)
m = 4/2
m = 2
Therefore the slope, or the average rate of change, between these points is 2.
Just in case you need to show why the slope = 4, I’ll leave how to find it here:
To find the slope, use the formula: y2-y1/x2-x1
First, you need to find the y-values at x=1 and x=3. To do this, plug the x-values into the equation. The value you end up with is your y-value.
f(1) = 4(1) + 1 = 5
f(3) = 4(3) + 1 = 13
So your two points are (1, 5) and (4, 13). Now plug these points into the slope formula
m = (13-5)/(3-1) = 8/2. 8 divided by two is 4, so your average rate of change is 4. You can double check this by graphing.
factor 3a^5-18a^3+6a^2, I know the answer is 3a^2(a^3-6a+2) but I am so lost on how to get the factor of 3a^2..How in the world do you get the exponent for the factor
Answers
Answer:
[tex]\huge\boxed{3a^2(a^3-6a+2)}[/tex]
Step-by-step explanation:
[tex]\sf 3a^5-18a^3+6a^2\\\\HCF = 3a^2\\\\Take \ 3a^2 \ common\\\\= 3a^2(a^3-6a+2)\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807what is the value of a?
Answers
Answer:
9\sqrt{2}
Step-by-step explanation:
this is a 30-60-90 triangle so
the side opposite of 30 is x and the opposite side of 60 is x[tex]\sqrt{2}[/tex]. then the side opposite 90 is 2x.
so if 9=x then a=x\sqrt{2}
9\sqrt{2} is the side length of a
Hope that helps :)
Help pls! Need by 2 pm est time. Just do number 2 pls
Answers
Answer:
7 feet
Step-by-step explanation:
I hope my answer is correct!
pls help the teacher said it’s not 14 I don’t know
Answers
Answer:
let no be x
by the question
2x-5=9
2x=9+5
x=14/2=7
the secret no is 7.
Find m∠ABC in the picture. (it's not solving for x.)
Answers
Answer:
The answer would be 6º
Step-by-step explanation:
first we know that a straight lin is always 180º
so since we know that the angle outside of the triangle is 110º we can do 180º -110º
then we get the measuerment for angle C :70º
since we dont know the measurements of the other angles but know that a full triangle is equal to 180º we make this equation
2+6x+12x+70=180
then we solve
72+18x=180
-72 -72
18x=108
/18 /18
x=6
then we plug in the x value to find the angle measurement
2+6(6)
2+36
38º
your answer is m<CAB is 38º
Fruit-O-Rama sells dried pineapple for $0.25 per ounce. Mags spent a total of $2.65 on pineapple. How many ounces did she buy
Answers
Answer:
2.65/.25= 10.6oz
............
Answer:
10.6 Ounces
Step-by-step explanation:
Each ounce of dried pineapple costs $0.25
Divide $2.65 by $0.25
2.65/0.25=10.6
Mags bought 10.6 oz.
A line's graph is shown. Write an equation for the line.
Answers
Answer:
Step-by-step explanation:
the equation for the line is y = 4
cogenuity Quiz
Find the value of 6^3.
OA) 6
ОВ) 36
OC) 72
OD) 216
Answers
Answer: OD) 216
Step-by-step explanation: 6^3 multiple it three times 6x6x6=216
Pls help me with this
Answers
Answer:
Number 6 is 7
Step-by-step explanation:
8 x 7 = 56
49 + 7 = 56
HEEEEEEEEEELLLLLLLLLLP
Answers
It’s 8.75h because Michael earns 8.75 per hour the key word is “per hour”