The solution to the inequality statement is x < 3/16
How to determine the solution to the inequality?From the question, we have the following parameters that can be used in our computation:
negative one eighth is less than the product of negative two thirds and a number.
Express as numbers and operators
So, we have
-1/8 < -2/3x
Divide both sides by -2/3
So, we have the following representation
1/8* 3/2 > x
Evaluate the produdts
3/16 > x
Rewrite as
x < 3/16
Hence, the solution is x < 3/16
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- Mike is looking to promote his dance event with flyers. He went to get quotes from Company A and
Company B. Company A is charging an upfront cost of $29.95 and then 35 cents for each flyer to be
made. Company B is charging an upfront cost of $40.70 but is charging 10 cents for each flyer?
Write an equation for the total cost for each company.
Answer:
let 'f' = cost for each flyer made
Cost for Company A: y = 29.95 + 0.35f
Cost for Company B: y = 40.70 + 0.10f
Step-by-step explanation:
Help please I don’t understand
Answer: 2/3
Step-by-step explanation:
there are 24 pets total (count all of the dots on the plot)
16 students have 2 or more pets (count the dots from point 2 until 6)
your fraction is 16/24
16/24 is 2/3 simplified
hope this helps
Consider the exponential function with equation A = P(1+r)t
a. Name the independent and dependent variables.
b. What is the growth factor?
The given exponential function equation is A = P(1+r)t, where P represents the principal amount, A represents the final amount, r represents the annual interest rate, and t represents the time in years.a.
The independent variable is t (time in years) while the dependent variable is A (final amount).b. The growth factor can be obtained by dividing A by P. Therefore, Growth factor = A/PLet us assume P=100, r=20%, and t=1. Then we can find A as follows:A = P(1+r)tA = 100(1+0.2)1A = 100(1.2)A = 120Therefore, the growth factor is:A/P = 120/100 = 1.2If we assume P=150, r=5%, and t=2, thenA = P(1+r)t = 150(1+0.05)2= 150(1.1025)= 165.375The growth factor is:A/P = 165.375/150 = 1.1025
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At the school fair 70% of the people are under 16 years old 1/3 of the people remaining are teachers if there are 21 teachers at the fair how many people are in the theater?
Answer:
210
Step-by-step explanation:
let x = number of people in the theater
70% are <16, so 30% are >16
0.30(x)(1/3) = 21
0.30x = 63
x = 63/0.30 = 210
Question 5 of 5
Steven plays piano for 30 minutes a day, every day. How many hours
does he play in 2 weeks?
Answer: 7 Hours
Step-by-step explanation: 30 x 14(days)=420(mintue)/60( 1 hour)=7
Bruce saves $3 of every $5 he
earns. How much would he have
for spending if he earned $60?
Answer:
20
Step-by-step explanation:
:) hope it helps
a piece of rock has a mass of 86.3g , correct to the nearest 0.1g . find the greatest possible mass of the rock in 2 decimal places
The greatest possible mass of the rock to two decimal places is 86.34 g
How to find the greatest possible mass of the rock?Since the mass of the piece of rock is 86.3 g, correct to the nearest 0.1 g. Thus, the actual mass of the rock in 2 decimal places could be between 86.25 g and 86.34 g.
To find the greatest possible mass of the rock, we need to round up to the higher end of the range of the mass of the rock.
Therefore, the greatest possible mass of the rock to two decimal places is 86.34 g
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help me asap!!!! its an emergency
Answer:
y = 2 - x^2
Substitute the different values of x to find y.
Input x -2 -1 0 1 2
Output y -2 1 2 1 -2
Graph this.
Please mark Brainliest :)
Red - -2,-2
Blue - -1,1
Black - 0,2
Pink - 1,1
Green - 2,-2
Real deal, this is for a presentation where we present our question in full. WHOEVER answers this question SHOWING THE WORK also gets brainliest on top of these huge points. PLEASE HELP!!
Simplify:
Answer:
-259dot - 12abc3
————————————————
3abc3
Step-by-step explanation:
Dividing exponential expressions :
a2 divided by a3 = a(2 - 3) = a(-1) = 1/a1 = 1/a
b3 divided by b4 = b(3 - 4) = b(-1) = 1/b1 = 1/b
Equation at the end of step 3: -7
(37 • —————) - 4
3abc3
Rewriting the whole as an Equivalent Fraction:
Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3abc3 as the denominator :
4 4 • 3abc3
4 = — = —————————
1 3abc3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator:
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
-259dot - (4 • 3abc3) -259dot - 12abc3
————————————————————— = ————————————————
3abc3 3abc3
Pulling out like terms:
Pull out like factors :
-259dot - 12abc3 = -1 • (259dot + 12abc3)
Trying to factor as a Sum of Cubes:
Factoring: 259dot + 12abc3
Theory : A sum of two perfect cubes, a3 + b3 can be factored into :
(a+b) • (a2-ab+b2)
Proof : (a+b) • (a2-ab+b2) =
a3-a2b+ab2+ba2-b2a+b3 =
a3+(a2b-ba2)+(ab2-b2a)+b3=
a3+0+0+b3=
a3+b3
Check : 259 is not a cube !!
-Hope this helped
i need the answer to ln (3x-5)=6
Answer: 11/3 (fraction) 11 goes on top 3 bottom
Step-by-step explanation:
Answer:
\(x\approx136.143\)
Step-by-step explanation:
\(ln(3x-5)=6\)
\(3x-5=e^{6}\)
\(3x=e^6+5\)
\(x=\frac{e^6+5}{3}\)
\(x=136.1429312\)
\(x\approx136.143\)
With the given budget, what’s the farthest distance a truck can travel from the warehouse to the retail outlet?
The percent of a country's households with broadband Internet access can be modeled by the function f left parenthesis x right parenthesisequalsnegative 0.11 x squared plus 6.51 x plus 3, where f left parenthesis x right parenthesis is the projected percent of households with broadband Internet access and x is the number of years since 2000.
a. Will this function have a maximum or a minimum? How can you tell?
b. According to this model, in what year will the percent of homes with broadband Internet access be at its maximum or minimum?
c. What is the predicted maximum/minimum percent of homes with broadband Internet access?
Answer:
a) The function has a maximum at x = 29,59
b) 99,32 %
Step-by-step explanation:
f(x) = -0,11*x² + 6,51*x + 3
Then:
f´(x) = -0,22*x + 6,51
If f´(x) = 0 then - 0,22*x + 6,51 = 0
0,22*x = 6,51
x = 6,51/0,22 ⇒ x = 29,59
if we get the second derivative
f´´(x) = - 0,22 f´´(x) < 0 then we have a maximun at x = 29,59
a) the function has a maximum
b) 29,59 years after 2000 ( in 2030 )
c) f(x) = - 0,11*x² + 6,51*x + 3
f(29,59) = - (0,11)* (29,59)² + 6,51*29,59 + 3
f(29,59) = 99,32 %
What is the perimeter in terms of x, of the rectangle shown here (x^2+7x-9) (3x^2-2x)
Given:
Consider the dimensions of the rectangle are \((x^2+7x-9)\) and \((3x^2-2x)\).
To find:
The perimeter in terms of x, of the rectangle.
Solution:
Let the length of the rectangle be \((x^2+7x-9)\) and the width of the rectangle is \((3x^2-2x)\) units.
The perimeter of a rectangle is:
\(P=2(l+w)\)
Where, l is the length and w is the width of the rectangle.
Substituting \(l=(x^2+7x-9)\) and \(w=(3x^2-2x)\) in the above formula, we get
\(P=2((x^2+7x-9)+(3x^2-2x))\)
\(P=2(4x^2+5x-9)\)
\(P=2(4x^2)+2(5x)+2(-9)\)
\(P=8x^2+10x-18\)
Therefore, the perimeter of the rectangle is \(8x^2+10x-18\) units.
Find all the points at which the direction of fastest change of the function f(x, y) = x2 + y2 – 8x – 14y is i + j. Step 1 The direction in which the maximum rate of change of f(x, y) occurs at a point (a, b) is given by the vector ∆f(a, b). For f(x, y) = x2 + y2 – 8x – 14y, we have Vf(x, y) = < 2x – 8,2y – 14> (2x – 8, 24 – 14) Step 2 We need to find all points (x, y) for which (2x – 8)i + (2y – 14)j is parallel to i + j. So we must solve (2x – 8)i + (2y – 14)j = k[i + j]. This means that k = 2x – 8 and k = 2y – 14. Equating these gives us ___
All points of the form (t – 3/2, t) have the direction of fastest change of the function f(x, y) = x^2 + y^2 – 8x – 14y that is parallel to the vector i + j.
Continuing from Step 2 of the problem:
We have (2x – 8)i + (2y – 14)j = k[i + j], where k is a constant.
This gives us two equations:
2x – 8 = k (equation 1)
2y – 14 = k (equation 2)
To solve for x and y, we can equate the right-hand sides of equations 1 and 2:
2x – 8 = 2y – 14
2x – 2y = -6
x – y = -3/2
This is the equation of a line in the xy-plane. Any point on this line satisfies the condition that the direction of fastest change of f(x, y) is parallel to i + j.
To find all the points, we can parameterize the line. Letting y = t, we have x = t – 3/2. So any point of the form (t – 3/2, t) satisfies the equation x – y = -3/2 and hence has the direction of fastest change parallel to i + j.
To summarize, all points of the form (t – 3/2, t), where t is any real number, have the direction of fastest change of the function f(x, y) = x^2 + y^2 – 8x – 14y that is parallel to the vector i + j.
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The product of 17 x .67 is ?
Answer:
11.39
Step-by-step explanation:
Have a great day! :)
A study of the effect on the human digestive system of potato chips made
with a fat substitute
Answer:
Perform an experiment
Step-by-step explanation:
The experiments state that it is the test which is to be carried to confirm or refute the hypotheses they had about a specific subject. Therefore, the study findings will be based on the outcome of these experiments.
Now, according to the given situation, an analysis of the impact of potato chips on the human digestive system with fat replacement is refer to perform an experiment.
So, the right answer is to perform an experiment.
WILL GIVE BRAINLIEST
The average daily profit of an electronics store is $31,435. The company estimates that 15% is lost each day to returns, with a margin of error of ±4%. What is the maximum the company can expect for returned items?
$3457.85
$4621.13
$5972.65
$6638.22
The maximum that the company can expect for returned items is C. $5972.65
How to calculate the value?From the information, the average daily profit of an electronics store is $31,435 and the company estimates that 15% is lost each day to returns, with a margin of error of ±4%.
In a random survey sample, a margin of error is a statistical measurement that takes into account the discrepancy between actual and anticipated findings. Simply said, you may determine the degree of unpredictability in data and research results using the margin of error.
The maximum the company can expect for returned items will be:
= (15% + 4%) × Profit
= 19% × $31,435
= 0.19 × $31,435
= $5972.65
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The sum of two consecutive odd integers is at least 16. Which of the following inequalities would model this statement
The sum of two successive odd integers must be at least 16, hence the inequality will be x+1≥4 and the solution will be x≥3.
What is inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign. It is an illustration of inequity. This shows that the left half, 5x 4, is bigger than the right part, 2x + 3. An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.
Here,
Sum of 2 consecutive odd integer=16
Let them be 2x+1 and 2x+3,
2x+1+2x+3≥16
4x+4≥16
x+1≥4
x≥3
The inequality will be x+1≥4 and solution to the inequality will be x≥3 as sum of two consecutive odd integers is at least 16.
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Find the real numbers that satisfy the equation below.
|x| = -35.8
Vhat would be the value of $100 after 10 years if you earn 11 percent interest per year?
Answer:
about $283.94
Step-by-step explanation:
P= $100
t= 10 years
r = 11%/ year = 0.11/year
A = P ( 1+ r) ^t
A = 100(1+0.11) ^10
A = 100* 1.11^10
A ≈ $283.94
I need help on this equations.
A. y = 1x +4
B. y = -2x +4
C. y = -6
D. x = 1
A crane is being created by four steel members (bold) and a cable, as shown in the diagram below.
It is known that AC = 10 ft, AB = 8 ft, m_A = 40°, m CBD = 65°, and mZD = 45°
(a) Determine the length of support member BC to the nearest hundredth of a foot.
feet
(b) Determine the length of the cable CD to the nearest hundredth of a foot.
feet
Answer:
ac 10
Step-by-step explanation:
I think it 10÷ the answer
Which one of the following statements is not true concerning PivotTables in Excel? O a. PivotTables are also known as crosstabulation tables. b. PivotTables summarize data for two variables. c.PivotTables can be built using data arrayed in rows. d. PivotTables are interactive.
The statement that is not true concerning PivotTables in Excel is b. PivotTables summarize data for two variables. PivotTables can summarize data for multiple variables, not just two.
PivotTables allow you to analyze and summarize data from various perspectives, including multiple variables, by grouping, filtering, and calculating values based on different criteria. They provide flexibility in summarizing and organizing data in a tabular format, making it easier to extract insights and perform data analysis efficiently.
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HELP OMG BRO IVE BEEN ASKING THIS FOR SO LONG SOMEONE IM BEGGING U HELP MEEE
Josh received a gift card of $70 for a pizza restaurant. The restaurant charges $20 per pizza. Jessica received a gift card of $60 for a different pizza restaurant. The restaurant charges $15 per pizza.
Let x be the number of pizzas purchased.
Write an equation to show when the two cards would have the same amount of money left on them.
Answer:
70 - 20x = 60 - 15x
Solution:
x = 2
Step-by-step explanation:
The problem said to let x = number of pizzas purchased.
So at Josh's place 1 pizza is 20, 2 is 40, 3 is 60, etc. The mathy way to write is 20x... <<that's 20 times the number of pizzas. It tells us the dollar amount spent on pizzas. His gift card is $70. We'll subtract what he spends on pizzas from his total original amount 70.
70 - 2x
For Jessica, its the same logic, but her gift card is $60 and the pizzas are 15 each. Total spent on pizzas is 15x. Her balance will be
60 - 15x
The question wants us to find out when these to people have the same balance of their card.
70 - 20x = 60 - 15x
This is what is asked for in the question. Below is how to solve it (don't know if you need this)
minus 60 from both sides
10 - 20x = -15x
Add 20x to both sides.
10 = 5x
Divide by 5
2 = x
This means when Josh and Jess have each bought TWO pizzas, they will both have $30 left on each of their cards.
1.The sales tax for a $49.30 sandals with a 8.25% sales tax is $
2.The total cost of the sandals is $
Answer:
$53.36
Step-by-step explanation
Mrs. Jacksy served snacks on a circular plate. How many lines of symmetry were on the plate? A. 0 B. 2 C. 4 D. Infinite number
Answer:
D. Infinite number
Step-by-step explanation:
A circular plate can be rotated by a part of a degree and it will look the same (as long as it does not have a design on it)
Assuming this plate does not have a design on it, we can rotate through infinite number of lines of symmetry
Answer:
D. infinite number
Step-by-step explanation:
Hope this helps ^_^
what is the point-slope form of a line that has a slope of 3 and passes through point (1,4)
Answer:
y=3x+1
Step-by-step explanation:
y=mx+b
y=3x+1
4=(3*1)+b
4=3+b
1=b
y=(3*1)+1
y=3+1
y=4
Unit 3: Functions& Linear Equations Homework 1: Relations & Functions Name: Date: Bell: This is a 2-page document! Find the domain and range, then represent as a table, mapping, and graph. Domain Range 2. {(-3,-4), (-1, 2), (0,0), (-3, 5), (2, 4» Domain Range - Determine the domain and range of the following continuous graphs 3. 4. Domain = Range = 5. Domain Range 6. Domain - Domain - Range - Range = Gina Wlson (AlI Things Aigebral 2
The domain and range are the set of x and values of the function are in the table.
the function as a table,
Input (x) | Output (y)
-3 | -4
-1 | 2
0 | 0
-3 | 5
2 | 4
What is the domain and range?
The domain and range are fundamental concepts in mathematics that are used to describe the input and output values of a function or relation.
The domain of a function refers to the set of all possible input values, or x-values, for which the function is defined.
The range of a function refers to the set of all possible output values, or y-values.
To find the domain and range of functions and represent them in different formats.
To find the domain and range of a function:
The domain refers to the set of all possible input values (x-values) for the function.
The range refers to the set of all possible output values (y-values) for the function.
To represent the function as a table, you would list the input-output pairs. For example:
Input (x) | Output (y)
-3 | -4
-1 | 2
0 | 0
-3 | 5
2 | 4
To represent the function as a mapping, you would indicate the correspondence between the input and output values.
For example:
-3 -> -4
-1 -> 2
0 -> 0
-3 -> 5
2 -> 4
To represent the function as a graph, The x-values would be on the horizontal axis, and the y-values would be on the vertical axis.
The points (-3, -4), (-1, 2), (0, 0), (-3, 5), and (2, 4) would be plotted accordingly.
Hence, The domain and range are the set of x and values of the function are in the table.
the function as a table,
Input (x) | Output (y)
-3 | -4
-1 | 2
0 | 0
-3 | 5
2 | 4
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Given that (x + 1) is a factor of what values can a take? 20x³+10x²-3ax + a²,
The possible values of 'a' are -5 and 2 when (x+1) is a factor of the given polynomial.
We have a polynomial with degree 3. So, let's apply the factor theorem. The factor theorem states that if x-a is a factor of the polynomial P(x), then P(a) = 0.
We are given that (x+1) is a factor of the polynomial. So, x=-1 is a root of the polynomial. Substituting x=-1 in the given polynomial and equating it to zero will give us the possible values of 'a'.
20(-1)³+10(-1)²-3a(-1) + a² = 0-20 + 10 + 3a + a² = 0a² + 3a - 10 = 0(a+5)(a-2) = 0a = -5 or a = 2.
Therefore, the possible values of 'a' are -5 and 2 when (x+1) is a factor of the given polynomial.
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what is the probability that a randomly chosen return shows an adjusted gross income of $50,000 or more?
The probability that a randomly chosen return shows an adjusted gross income of $50,000 or more is 33.2%.
For mutually exclusive events, use the following addition rule:
P(A or B) = P(A) +P(B)
The corresponding probabilities is :
P( income > $50000) = P( >50)
= P(50 - 90) +P( 100 - 499) +P( ≥ 500)
= 0.215 + 0.100 +0.006
= 0.321
Therefore, the probability of a random selection returning is
P( income > 50000) = 0.321
Now ,
P( income ≥ 50000 and ≥ 100000 ) = P( > 100000)
= 0.100 + 0.006
= 0.106
The Probability Condition is:
P(A/B) = P(A and B) / P(B)
Therefore,
P( ≥ $100000 / $ $50000)
= P( ≥ $100000 and $ $50000)/ P( ≥ $50000)
= 0.106/ 0.321
≈ 0.3302
= 33.2%
Therefore, the conditional probability of earning at least $50000 and more is 33.2%
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