The approximate solution to the trigonometric inequality will be 0<=x<0.7896. Option A is correct.
What is the definition of inequality?Inequality is a sort of equation in which the equal sign is missing. As we will see, inequality is defined as a statement regarding the relative magnitude of two claims.
Given inequality;
tan(x/4)<1/5
x/4 = tan⁻¹(1/5)
0<=x<0.7896
The approximate solution to the trigonometric inequality will be 0<=x<0.7896.
Hence option A is correct.
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Answer:
A. 0 <= x < 0.7896
Step-by-step explanation:
EDG
Which way shows one way you can decompose 15 to find 42 x 15?
A. О (42 + 10) (42 + 5)
B. O (42 + 10) + (42 + 5)
C.O (42 x 10) + (42 * 5)
D. O (42 x 1) + (42 x 5)
Answer:
42 * 10 + 42 * 5
which agrees with the third option (C) shown on the list of possible answers
Step-by-step explanation:
Notice that using distributive property we can write:
42 * 15 = 42 (10 + 5) = 42 * 10 + 42 * 5
which agrees with the third option (C) shown on the list of possible answers.
The ratio of students to laptops in a school is 3:2. If there are 1200 students,how many laptops are there
m and n are negative rational numbers. The product will be negative
TRUE or FALSE
Answer:
The product of two negative rational numbers can not be negative. Hence, the statement that 'the product will be negative' is FALSE.
Step-by-step explanation:
We know that a rational number is a number that can be written in the form p/q, where p and q are integers.
A negative rational number is a number that can be represented as -p/q or
(-1) p/q, where p and q are whole numbers.
It must be not that the product of two negative rational numbers would always be positive.
For example, let suppose m = -5 and n = -7 are two negative rational numbers.
Taking the product of -5 and -7.
= (-5) × (-7)
= 35
Therefore, the product of two negative rational numbers can not be negative. Hence, the statement that 'the product will be negative' is FALSE.
find the missing length
Answer:
Step-by-step explanation:
it should be 116
3 sisters have ages that are consecutive odd integers. The sum of the age of the youngest and three times the age of the oldest is five less than five times the middle sisters age. what is the age of the youngest child.
Step-by-step explanation:
Let n be the age of the youngest sister. Since the ages are consecutive odd integers, the next sister's age is n+2, and the oldest sister is n+4. the following equation represents the relationship between the girls' ages.
n + 3(n + 4) = 5(n + 2) - 5
n + 3n + 12 = 5n + 10 - 5
4n + 12 = 5n +5
-4n -5 -4n -5
7 = n
so the sisters are 7, 9, and 11
The age of the youngest child 7 years.
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Since, the ages are consecutive odd integers,
So, Let x be the age of the youngest sister.
The next sister's age is x + 2,
And, the oldest sister is x + 4.
Hence, The following equation represents the relationship between the girls ages.
x + 3(x + 4) = 5(x + 2) - 5
x + 3x + 12 = 5x + 10 - 5
4x + 12 = 5x + 5
12 - 5 = 5x - 4x
x = 7
So, The age of the youngest child 7 years.
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Someone help me please
Find the measure of 0.(to the nearest tenth)
Answer:
Y
Step-by-step explanation:
Yes
At a concession stand seven hotdogs And four hamburgers cost $15 . Four hotdogs and seven hamburgers cost $18 . Find the cost of one hotdog in the cost of one hamburger.
Answer:
so hamburgers would be 2$ a peice
hotdogs wll be 1$ a peice
Step-by-step explanation:
What number is being factored in this factor tree? A. 72 B. 180 C. 216 D. 324 Whoever gets right gets 50 points and Brainliest
Answer:
im pretty sure its A
Step-by-step explanation:
Hope this helped!
Answer:
B?
Step-by-step explanation:
Hope it helps and thank you
The ratio of the length to the width of a rectangular field is 3 to 2. If the field is 150 yards long, how wide is the field?
Answer:
The field is 100 yards wide.
Step-by-step explanation:
Given that the relationship between the length and width of the rectangular field is 3 to 2, and that said field is 150 yards long, the following calculation must be performed to determine its width:
((150/3) x 2) = X
50 x 2 = X
100 = X
Thus, the common largest divisor between both numbers is obtained, and the relationship from 3 to 2 is established based on said number. Therefore, the rectangular field is 100 yards wide by 150 yards long.
. Isabella buys a 1.75 litre carton of apple juice. What is the largest number of 200 millilitre glasses that she can have from the carton?
Answer:
The largest number of glasses of juice Isabella can have from the carton is 8.
Step-by-step explanation:
Ratios
Knowing the total capacity of the carton of apple juice Ct, and the capacity of each glass Co, we can calculate how many glasses can be taken from the carton by finding the ratio:
[tex]\displaystyle n=\frac{Ct}{Co}[/tex]
There are 1,000 milliliters in one liter, thus the carton has a capacity of
C t= 1.75*1,000 = 1,750 milliliters
Thus,
[tex]\displaystyle n=\frac{1,750}{200}[/tex]
n=8.75
Since we cannot have 8.75 glasses, we round to the previous integer, then:
The largest number of glasses of juice Isabella can have from the carton is 8.
How many interior angles in this polygon
Answer:
8
Step-by-step explanation:
I might be wrong
A popular ride-sharing app charges an
initial booking fee plus $1.30 per mile. If a
14-mile ride costs $21.20, which equation
describes the situation?
th
1
Answer:B
Step-by-step explanation:
1.30×-14=-18.20
-18.20+21.20=3
Alex takes a multiple-choice quiz in his Anthropology 100 class. The quiz has 10 questions, each has 4 possible answers, only one of which is correct. Alex did not study for the quiz, so he guesses independently on every question. What is the probability that Alex answers exactly 2 questions correctly
Answer:
The probability is 0.28157
Step-by-step explanation:
The number of answers are 40 answers ( 10 questions and 4 answer each)
The number of correct answers is only 10
So the probability that he answers 2 exactly out of 10 means he correctly selected 2 answers
The probability will be;
10 C 2/ 40 C 10
This mean out of the total 10 correct, he selects 2 and out of the total 40 , he selects 10
The probability of selecting a correct answer is;
1/4 while the probability of selecting a wrong one is 3/4
So probability of selecting 2 correct out of a total 10 will be
10 C 2 (1/4)^2 (3/4)^8
= 0.28157
What is indicated by a positive value for a correlation? a. A much stronger relationship than if the correlation were negative b. A much weaker relationship than if the correlation were negative c. Increases in X tend to be accompanied by decreases in Y d. Increases in X tend to be accompanied by increases in Y
Answer: Increases in X tend to be accompanied by increases in Y
Step-by-step explanation:
The option given that indicates a positive value for a correlation is that an increases in X tend to be accompanied by increases in Y.
When two variables are said to be positively correlated, it simply means that the variables move along the same direction. As one variable increase, the other variable too will slow increase and vice versa.
If $250 is invested at an interest rate of 12% per year, compounded biannually, how much will the investment be worth at the end of eight years? Round
your final answer to the nearest hundredths place.
Formula: A = P(1+")nt
n
Answer:
2563
Step-by-step explanation:
Kgr7q wtbej iw ku3yf kuey wuyr icnt gje eruyg eurygb ekuv ekght kicu dkyg
2, 3, 5, 5, 8, 7, 11, __, __,__, 17,__, __, __
What is the pattern?
Answer:
9, 14, 11, 17, 13, 20, 15
Step-by-step explanation:
so it's kinda hard to explain but starting from 2, for every second number u add three (2,5,8,11,etc) and then starting from 3, for every second number you add two (3,5,7, etc)
that literally makes no sense aha
Can someone please help, ty!!
(Will mark brainliest)
Answer:
100
Step-by-step explanatio
Please help I will brainliest!! Really urgent!!
and tell you me how you go it, not just the answer please!❤️
This is my last ques/ of the day
Answer: [tex]\frac{5}{6}x-10[/tex]
==============================
Work Shown:
[tex]\left(\frac{1}{3}x-8\right)+\left(\frac{1}{2}x-2\right)\\\\\frac{1}{3}x-8+\frac{1}{2}x-2\\\\\left(\frac{1}{3}x+\frac{1}{2}x\right)+(-8-2)\\\\\left(\frac{1}{3}+\frac{1}{2}\right)x-10\\\\\left(\frac{2}{6}+\frac{3}{6}\right)x-10\\\\\frac{2+3}{6}x-10\\\\\frac{5}{6}x-10\\\\[/tex]
Answer:
[tex]\frac{5}{6}[/tex]x-10
Step-by-step explanation:
([tex]\frac{1}{3}[/tex]x-8)+([tex]\frac{1}{2}[/tex]x-2) = [tex]\frac{1}{3}[/tex]x-8+[tex]\frac{1}{2}[/tex]x-2
[tex]\frac{1}{3}[/tex]x-8+[tex]\frac{1}{2}[/tex]x-2 = [tex]\frac{1}{3}[/tex]x+[tex]\frac{1}{2}[/tex]x-10
If you -8 then -2, you are subtracting 10 from the equation in total.
[tex]\frac{1}{3}[/tex]x+[tex]\frac{1}{2}[/tex]x-10 = [tex]\frac{2}{6}[/tex]x+[tex]\frac{3}{6}[/tex]x-10
To make the denominator the same, I will multiply the first fraction by 2 and the second fraction by 3 so that their denominators are 6.
[tex]\frac{2}{6}[/tex]x+[tex]\frac{3}{6}[/tex]x-10 = [tex]\frac{5}{6}[/tex]x-10
Once the denominators are the same, you can do the working for the numerators directly (2+3=5) and keep the denominator the same.
simpifly 49/84
...........
Answer:
7/12
Step-by-step explanation:
Divide both the numerator & denoniminator by 7.
49 / 7 = 7
84 / 7 = 12
7/12
Answer: 7/12
Step-by-step explanation:
5. This year's enrollment in Mesa School District is
6,000, which is 20 percent higher than last year's.
What was last year's enrollment in Mesa School
District?
Answer:
The enrollment last year was 5,000
Step-by-step explanation:
Here, we have the enrollment this year higher than what we have last year by 20%
So we want to know the enrollment last year
Let the enrollment last year be x
Mathematically, the enrollment this year will be;
x + 20% of x = 6,000
Thus;
x + (20/100 * x) = 6000
x + 0.2x = 6000
1.2x = 6,000
x = 6,000/1.2
x = 5,000
How do multiplication facts help me divide? Give an example.
Answer:
it could help you so you don't have to count on your fingers
Step-by-step explanation:
5 divided by 2
5 times 2 = 10
so your answer would be 2
How is the daily balance method different from compounding interest daily?
a. Unlike daily compound interest, the daily balance method only applies charges at the end of
the month.
b. The daily balance method rounds less frequently than daily compound interest.
C. The daily balance method checks your balance at the end of each day, but daily compound
interest checks at the beginning of each day.
d. It is not different. The two processes are the same.
Please select the best answer from the choices provided
Answer:
a on edge 2021
Step-by-step explanation:
We can see that the daily balance method is actually different from compounding interest daily in the following way: A. Unlike daily compound interest, the daily balance method only applies charges at the end of the month.
What is compound interest?Compound interest is actually known as the addition of the interests to the principal. It is an accumulation of the interests gathered over a period of investment plus the principal sum.
Daily balance method refers to the daily interest that is calculated at the end of each day. It applies charges at the end of the month. This is why it is different from daily compound interest.
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Adeline buys 8 packs of Fun Gum. Each pack has 7 pieces of gum. Marisol buys Juicy Gum. Each Juicy Gum pack has 9 pieces of gum.Adeline has 11 more pieces of gum than Marisol. How many packs of gum did Marisol buy?
Answer:
The number of packs is 5.
Step-by-step explanation:
Let the number of juicy packs of gum bought by Marisol be represented by n.
Adeline bought 8 packs of Fun gum with each pack containing 7 pieces of gum.
Total number of gums has Adeline = 8 x 7
= 56
Total pieces of gum has Marisol = n x 9
= 9n
Given that Adeline has 11 more pieces of gum than Marisol, thus;
56 = 9n + 11
56 - 11 = 9n
45 = 9n
n = [tex]\frac{45}{9}[/tex]
n = 5
The number packs of juicy gum bought by Adeline is 5 and total pieces of his gum is 45.
At a given time, the length, L, of the shadow of an object varies directly
as the height of the object, H. If the shadow is 27 ft when the height of
the object is 12 ft, what is the height of the object if the shadow is 18 ft?
Answer:
8 ft
Step-by-step explanation:
Use the direct variation equation, y = kx, where k is a constant.
Change the equation to fit the variables: L = kH
Plug in the given length of the shadow and the height of the object, then solve for k:
L = kH
27 = k(12)
2.25 = k
So, the equation is L = 2.25H
Then, plug in 18 as L, and solve for H:
L = 2.25H
18 = 2.25H
8 = H
So, when the shadow is 18 feet, the height of the object is 8 ft
I know this isn’t a math problem but it is a serious question about math.
Would Practical math be easier than pre-Calc/trigonometry?
I looked up what practical math was and it seems to be like real-world problems and really long equations, and that is something I struggle with the most because I end up lost a confused but is it as bad as it sounds??? And if it is that bad is it better than pre-calc/trigonometry.
I’m starting my fall semester soon and I would like to know which I should choose
(If it helps I got a C in Algebra 2 from “studying” some answers on here mainly because I was to far behind is lessons to actually learn....but once I get something in math it is easy for me to get it done) ((sorry this is so long))
Answer:
I live in Ireland and I take on additional maths as part of my course (extra maths). In my course we do a mix of pre calc and practical. Personally I find them both okay but I think practical math would get quite hard and boring if you dont like it. If u already find it boring, it's probably going to be harder to understand and like. I would recommend doing pre calc as u still do some equations but it's a good mix. it's totally up to u tho good luck! ♡
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Answer:
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Step-by-step explanation:
A contractor wants to rent a wood chipper from Acme Rental for a day for $118 plus $11 per hour or from Bell Rental for a day for $128 plus $9 per hour. Find a cost function in dollars for using each rental firm. (Let x be the number of hours for which the wood chipper is rented.) Acme C(x)
Answer:
[tex]C(x) = 118 + 11 x[/tex] -- Acme
[tex]C(x) = 128 + 9 x[/tex] --- Bell
Step-by-step explanation:
Given
Acme:
[tex]Daily = 118[/tex]
[tex]Hourly = 11[/tex]
Bell:
[tex]Daily = 128[/tex]
[tex]Hourly = 9[/tex]
Required
Determine the cost function for both
The cost function can be determined using the following illustrations:
Daily Rate + Hourly Rate * Number of Hours
Represent the number of hours with x
So, we have:
For Acme:
[tex]C(x) = 118 + 11 * x[/tex]
[tex]C(x) = 118 + 11 x[/tex]
For Bell:
[tex]C(x) = 128 + 9 * x[/tex]
[tex]C(x) = 128 + 9 x[/tex]
I want a clear solution an explanation of how to solve this, please.
Answer:
the answer is (4,7).
Describe some main differences between an Euler graph and a tree graph.
Answer:
The Obvious
Euler graph all connects almost like a circle
A tree graph looks like it branches off each other with no line connect in a circle like form
Team Crusty make pies at a pie-baking competition. They baked 28 pies in 8 hours. How many pies per hour did they bake
Answer:3.5 pies
Step-by-step explanation:
Team Crusty = 28 pies / 8 hours = 3.5 pies per hour.
Hope This Helped!
:D