Answer:
3 < x < 5
Step-by-step explanation:
Expression is |2x − 8| < 2
The absolute rule says that if |u| < a then -a < u < a
Here u = 2x-8
So we get -2 < 2x - 8 < 2
This means
2x - 8 > -2
==> 2x > -2 + 8 (add 8 to both sides)
==> 2x > 6 (simplify)
==> x > 3 (divide by 2 both sides)
and,
2x - 8 < 2 gives
==> 2x < 2 + 8 (add 8 to both sides)
==> 2x < 10 (simplify)
==> x < 5 (divide by 2 both sides)
So the solution to |2x − 8| < 2
is 3 < x < 5
7/11 divided by 4/5 if you can pls show the work
Answer:
please rate as brainliest
Step-by-step explanation:
7/11 divide 4/5
just intertwine the second fraction values since it is divided and you should put multiplication
=7/11 × 5/4
=35/44 or 0.7954545455
Answer:
35/44
Step-by-step explanation:
see picture above it is the answer
Is the situation an example of a continuous or discrete relation?
a. Bag of Apples
b. Distance from here to the moon
c. Area of a circle
d. Number of telephones calls made each day
e. The height of a ball as it is thrown into the air.
f. The balance in an account over a week.
The variables are:
a) discrete.
b) continuous.
c) continuous.
d) discrete.
e) continuous.
f) discrete.
Is the situation an example of a continuous or discrete relation?A continuos variable can take any value in a dense set, while a discrete variable can only take some selected values.
a) "Bag of apples"
Here the variable is the number of apples in the bag, we can only have whole numbers of apples, then this variable is discrete.
b) "Distance from here to the moon"
This is a distance, so the value is continuous.
c) "Area of a circle"
Exactly like in the case above, the area is continuous.
d) "Number of telephone calls made each day"
Like in the first example, here the variable can only take whole numbers thus, it is discrete.
e) "The height of a ball as it is thrown into the air."
Similar than case b, a height can take any value on a given range, thus, this is continuous.
f) "The balance in an account over a week."
Here the balance can only be a number followed by 2 digits after the decimal point, so from:
$23.50
We can only go up to:
$23.51
Then all the values in between are not allowed, this means that the variable is discrete.
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Positive multiples of 4
Answer:
4,8,16,20,24,28,32,36,40,44...
Step-by-step explanation:
How many? This list goes on forever.
Answer:
4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80,84,88,92,96.
Step-by-step explanation:
.56 x 72
Please help me find the answer to this quick
Find the distance between each pair of points. The points are (3,-5) and (-2,0)
Answer:
5√2
Step-by-step explanation:
The distance formula is the the square root of the difference of the x (delta x) squared plus the difference of the y (delta y) squared. So, you would do
0 - (-5) = 5 & -2 - (3) = -5
Then
5² + (-5)² = 25 + 25 = 50
Square root 50
5√2
Hope this helps! :)
W X and ←→ Y Z intersect at point V. If m ∠ W V Y = ( 4 a + 58 ) ° and m ∠ X V Y = ( 2 b − 18 ) ° , find the values of a and b such that ←−→ W X is perpendicular to ←→ Y Z
The values of a and b are 8 and 54 respectively.
As WX and YZ are perpendicular to each other and they intersect at point V, so both ∠WVY and ∠XVY are 90°.
Given that,
∠WVY = (4a + 58)°
∠XVY = (2b - 18)°
Which means:
4a + 58 = 90
4a = 90-58
4a = 32
a = 32/4
a = 8
and 2b - 18 = 90
2b = 90+18
2b = 108
b = 108/2
b = 54°
hence we get the values of a and b as 8° and 54°
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What is the multiplicative inverse of 1 1/3?
According to the given statement the multiplicative inverse of 4/3 is 3/4.
What is multiplicative inverse?A multiplicative inverse as well as reciprocal for a number x, indicated by 1/x or x1, is a number that produces the multiplicative identity, 1. b/a is the multiplicative inverse of either a fraction a/b. Divide 1 by the number to find the multiplicative inverse.
How Do You Find the Multiplicative Inverse?Flipping the numerator and denominator yields the multiplicative inverse of a fraction. 1's multiplicative inverse is 1. The multiplicative inverse of 0 is unknown. 1/x or x-1 seems to be the multiplicative inverse of something like a number x.
According to the given data:Given 1*(1/3)
This can be written as 4/3.
The multiplicative inverse of 4/3 is 3/4
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During the past week, an accounting firm made a total of 77 long distance calls to its clients. Twenty-four of the calls were less than or equal to 30 minutes in duration while 41 of the calls were less than or equal to 40 minutes. The longest call was one hour and fifty-five minutes and the tenth percentile of the length of calls was 20 minutes.
Step 4 of 5 : What percentage of the calls were greater than 30 minutes in duration? Round your answer to the nearest whole number percentage.
The percentage of the calls were greater than 30 minutes in duration is 69%.
How to illustrate rye information?Let N = 77 Total long-distance calls
X= 24 calls are less than or equal to 30 minutes duration
Y = N - X= 77 - 24= 53 calls are greater than 30 minutes duration
To find the percentage of calls greater than 30 minutes duration. This goes thus:
= Number of calls greater than 30 minutes / Total calls
= 53 / 77
= 0.69
Therefore, 69% of the call were greater than 30 minutes in duration.
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An albatross is flying 87 m above the surface of the ocean. Directly below the albatross, a sea gull is flying 6 m above sea level. Directly below
the birds is a shark, swimming 23 m below sea level. Determine each of the following. Explain your work for each.
a) The difference in height between the sea gull and the shark.
b) The distance between the heights of the sea gull and the shark.
Using simple addition and multiplication, we concluded that the difference in height between sea gull and shark is 17m and distance between the heights of the sea gull and the shark is 29m.
Given,
Albatross is flying 87 m above the surface of the ocean
Sea gull is flying 6 m above sea level
shark is swimming 23 m below sea level
a) The difference in height between sea gull and shark is -
23m - 6m
= 17m
b) The distance between the heights of the sea gull and the shark is -
23m + 6m
= 29m
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Correct answer gets brainly!
answer quickly but only if you are sure
or else you are getting reported :D
Answer:
0.0092
Step-by-step explanation:
Rewrite the denominator out of its scientific notation. The numerator will always be 1 when you are working with whole numbers turning into fractions.
[tex]=9.2\cdot \frac{1}{10^3}\\=\frac{1\cdot \:9.2}{10^3}\\=\frac{9.2}{10^3}\\=\frac{9.2}{1000}\\=0.0092[/tex]
1/2|4x + 3/4|>7/8
solve the inequality. express the answer using interval notation
Answer:
2.35
Step-by-step explanation:
Simplify to a single power of 3:
Answer:
5
Step-by-step explanation:
[tex]\frac{3^8}{3^3}=3^{8-3}=3^{\boxed{5}}[/tex]
Richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost?
Answer:
3x+2y=8.75
2x+4y=8.5
solving above two we get
x=9/4
y=1
Then x+3y=2.25 + 3=5.25
Step-by-step explanation:
ASAP Please!
Beth purchased a $50,000 nonparticipating whole life insurance policy. The annual premium was $1,608. The cash value of the policy after 10 years will be $13,740. Assuming 5% interest rates. What is the traditional net cost of this policy, per thousand per year, over the first 10 years the policy is in force? (Round your answer to 2 decimal places)
Based on the annual premium, the cash value of the policy, and the number of years, the traditional net cost of this policy over the first 10 years is 5.76.
What is traditional net cost?First, find the net cost over 10 years:
= Total premium over 10 years - cash value
= (1,608 x 10) - 13,740
= $2,340
The net cost per year is:
= 2,340 / 10
= $234
The traditional net cost of this policy, per thousand per year for the first 10 years is:
= 234 / 50,000 x 1,000
= 4.68
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What is the result when the number 25 is increased by 20%?
Equations and Fun
Guided Practice
What is the domain of the set of ordered pairs {(-4, 0), (-2, 2), (0, 1), (2, 3), (3, 4)}?
A. {-4,-2,0, 2, 4}
B. (-4,-2, 0, 1, 2}
C. {0, 1, 2, 3, 4)
D.
(-4,-2,0, 2, 3}
Answer:
D
Step-by-step explanation:
Remember that domain is the set of all x-values. Therefore, looking at ONLY the first number for each of the listed ordered pairs, your answer D would be the only answer to include all the correct x-values.
25 students in class A did a science exam. 30 students in class B did the same science exam.
The mean mark for the 25 students in class A is 67.8 The mean mark for all the 55 students is 72.0
Work out the mean mark for the students in class B.
Evaluate Cross multiply :)
three lakes lost water during a drought. Lake Jensen lost 1/6 of its water, Lake parlow lost 26% of its water, and lake stockton lost 33/200. which lake lost the least amount of water whats the answer?
Answer:
lake stockton
Step-by-step explanation:
26% is equal to 26/100
you have to figure out a common denominator for all three numbers. the easiest for me was 600
to get from 1/6 to x/600 you multiply by 6 so you do the same to the top. equaling 100/600
for 26/100 you times top and bottom by 6 equaling 156/600
for 33/200 you multiply by 3 on both equaling 99/600
now you can clearly see that 99/600 is the least amount
Create a polynomial that has 4 terms, a degree of 6, a leading coefficie
and a constant term of -5.5.
-6 is the product of this equation,
therefore there are no constant term or leading coefficient.
enter image source here
The degree of a polynomial is the highest degree of its terms
The leading coefficient of a polynomial is the coefficient of the leading term
Any term that doesn't have a variable in it is called a "constant" term
types of polynomials depends on the degree of the polynomial
x5 = ax2+bx2+c =0
x4 = quadratic
x3 = cubic
x2 = quadratic
A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, multiplication and division
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please help me in my maths question
Mike have Two pairs of shoes he is wearing red shirt his height is 6ft calculate his hair..
Answer:
It is a buzz cut.
Step-by-step explanation:
It is well-known that football players are around that height and own at least two pairs of shoes. Considering his shirt color, I would say he is a Cardinal player. Considering how terrible they did last time they played (I don't watch football), I'd say he would want to cut his hair in shame.
find the measures of the angles of a triangle if the angles are resented by x, 4x, and 4x. show work
x = 20
Step-by-step explanation:Total degrees of a triangle = 180 degrees.
The three angles are x, 4x & 4x
x + 4x + 4x = 180 degrees
x + 8x = 180 degrees
9x = 180 degrees
(9x)/9 = 180/9
x = 180/9
x = 20
Determine whether the following procedure results in a binomial distribution or a distribution that
can be treated as binomial (by applying the 5% guideline for cumbersome calculations). If it is not
binomial and cannot be treated as binomial, identify at least one requirement that is not satisfied.
In a Pew Research Center survey of 150 subjects, the ages of the respondents are
recorded.
The correct statement regarding whether the situation results in a binomial distribution is:
C. It is not binomial because there are more than two possible outcomes.
What is required for the binomial distribution to represent a situation?Three things are needed for a situation being represented by the binomial distribution:
Each trial having only two possible outcomes, one equivalent to success and one to failure.Fixed number of trials.Each trial is independent, that is, the probability of a success on a single trial is independent of any other trial.For this problem, for each respondent, there are multiple possible ages, a number greater than 2, hence the binomial distribution cannot be used and option c is correct.
The trials are independent, because the age of a respondent is not related to the age of any other respondent, hence option b is wrong.
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Tomas works as an underwater photographer. He starts at a position that is 17 feet below sea level. He rises 9 feet, then descends 18 feet to take a photo of a coral reef. Enter an expression to find his position relative to sea level when he took the photo and then evaluate the expression.
Answer:
26 below sea level
Step-by-step explanation:
-17+9=-8
-18-8=26
Which of the following statements is equivalent to 18 + 6?
We could say 18 + 6 = 2(9+3) as one example
Or 18+6 = 3(6+2) as another example
Or 18+6 = 6(3+1) as another example
There are few approaches so it depends on what answer choices you are given.
if f (x) =x2-4x-6 find f(o) F(3) f(-2) show that f (1/2) f(7/2) and f(2-h) f (2+h)
If f(x) = x² ₋ 4x ₋ 6 then we get the following answers for f(0),f(3) and f(-2) respectively. And the expression f(1/2) = f(7/2) and f(2₋h) = f(2₊h) is therefore proved.
f(0) = -6
f(3) = -9
f(-2) = 6
Given the function is f(x) = x² ₋ 4x ₋ 6
we need to find for f(0):
f(0) = 0² ₋ 4(0) ₋ 6
f(0) = ₋6
f(3) = 3² ₋ 4(3) ₋ 6
f(3) = 9 ₋ 12 ₋ 6
f(3) = ₋9
f(₋2) = (₋2)² ₋ 4(₋2) ₋ 6
f(₋2) = 4 ₊ 8 ₋ 6
f(₋2) = 6
we need to prove f(1/2)f(7/2)
now, f(1/2) = (1/2)² ₋ 4(1/2) ₋ 6
f(1/2) = 1/4 ₋ 2 ₋ 6
f(1/2) = 1 ₋ 8 ₋ 24 / 4
f(1/2) = ₋31/4
f(7/2) = (7/2)² ₋ 4(7/2) ₋ 6
f(7/2) = 49/4 ₋ 14 ₋ 6
f(7/2) = 49 ₋ 56 ₋ 24 / 4
f(7/2) = ₋31/4
therefore, f(1/2) = f(7/2)
f(2₋h) = (2₋h)² ₋ 4(2₋h) ₋ 6
f(2₋h) = (4 ₊ h² ₋ 4h) ₋ 8 ₊ 4h ₋ 6
f(2₋h) = h² ₊ 4 ₋ 4h ₋ 8 ₊ 4h ₋ 6
f(2₋h) = h² ₋ 10
f(2₊h) = (2₊h)² ₋ 4(2₊h) ₋ 6
f(2₊h) = 4 ₊ h² ₊ 4h ₋ 8 ₋ 4h ₋ 6
f(2₊h) = h² ₋ 10
therefore, f(2₋h) = f(2₊h)
Hence proved.
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Which figure is 34 ft
Answer:
Yup, u need answer choices
What are the zeros of the polynomial y = 3x(x - 2) (2x + 7)?
Answer:
the second answer option
Step-by-step explanation:
come on, that is really easy, now that the polynomial is already written that way.
when is the product of several factors 0 ?
when at least one of the factors is 0.
so let's go through, when are the factors 0 :
3 : can never be 0. 3 is 3.
x : yes, when x = 0.
(x - 2) : yes, when x = 2
(2x + 7) : ok, that requires a little bit of thinking
2x + 7 = 0
2x = -7
x = -7/2
and that's it.
at, the correct answer is
0, 2, -7/2
Mariana owns a food truck and sells tacos and burritos. Each taco costs $2.50 and each burrito costs $4.00. Th
system of equations represents the results of Mariana's sales yesterday for t tacos and b burritos.
t + b = 60
2.50t + 4.00b = 175.50
How many tacos did Mariana sell yesterday?
Let the cost of one tacos = t
Let the cost of one burritos = b
So, we have this system
t + b = 60 (eq-1)
2.50t + 4.00b = 175.50 (eq-2)
We take equation-1,
We can write,
t + b = 60
t= 60-b (eq-3)
Substitute equation-3 into equation-2,
We can write,
2.50t + 4.00b = 175.50
2.50(60-b) + 4.00b = 175.50
Multiply the values,
2.5(60)-2.5b+4b = 175.5
150-2.5b+4b = 175.50
Subtract the values,
1.5b = 175.5-150
1.5b = 25.5
b = 25.5/1.5
Divide the values,
b = 17
Replace the value 'b' in equation-3,
We can write,
t= 60-b
t= 60-17
t=43
Therefore,
Mariana sell 43 tacos yesterday.
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