The true statement is sometimes true
How to determine the true statement?The equation is given as
5x + 3 - 2x = 7x + 3
Evaluate the like terms on each side of the equation
So, we have
3x + 3 = 7x + 3
Evaluate the like terms on both sides
4x = 0
Divide both sides by 4
x = 0
This means that the equation is only true when x = 0
Hence, the true statement is sometimes true
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What percent of 250 is 100?
Answer:
40%
Step-by-step explanation:
100 is 4p% of 250
hope it helped!
witch product is less than
\( \frac{5}{8} \)
Answer:
Everything that is lower than 5/8.Step-by-step explanation:
It's pretty obvious.
You need to add 2 fractions up.
If it's lower than 5/8, then you are correct.
Suppose that the H of a Ferris wheel can be modeled by the function H(t)= -16cos(3.14t/45)+24, where t is the time in seconds. What is the maximum height of the cabin?
Answer:
8feet
Step-by-step explanation:
Given the height of the cabin modeled by the equation;
H(t)= -16cos(3.14t/45)+24
at the maximum height dH/dt = 0
dH/dt = 3.14/45(16)sin(3.14t/45)
dH/dt = 1.116sin(3.14t/45)
0 = 1.16sin(3.14t/45)
sin3.14t/45 = 0/1.16
sin3.14t/45 =0
3.14t/45 = arcsin0
3.14t/45 = 0
3.14t = 0
t = 0seccs
Substitute t = 0 into the expression
H(t)= -16cos(3.14t/45)+24
H(0) = -16cos(3.14(0)/45)+24
H(0) = -16cos0 + 24
H(0) = -16+24
H(0) = 8feet
Hence the maximum height of the cabin is 8feet
I NEED AN ANSWER ASAP PLEASE
Step-by-step explanation:
the correct answer is option a 6a-7
what is the answer? Please
jeremiah is eating at a restaurant he decides too tip the waiter 18% of his meal. if his meal cost $15.00 how much did he pay in total
Answer:
$17.70
Step-by-step explanation:
$15.00×18%=$2.70
$15.00+$2.70=$17.70
answer these questions please
11. The area difference between them is 96 square units (192 - 96).
12. The trough stands 4 feet tall.
How to calculate areas?11. The area of Figure A is 96 square units (12 x 8) and the area of Figure B is 192 square units (16 x 12). The difference in their areas is 96 square units (192 - 96).
12. Let the height of the trough be h. The volume of the trough is given by the formula:
Volume = base area x height
Substituting the given values:
96 = 24h
Dividing both sides by 24:
h = 4
Therefore, the trough is 4 feet tall.
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Angelica is buying 5 tickets to the school musical. Tickets cost $7 each.
If c represents Angelica's total cost for tickets, which equation below is correct?
a = 5 + $7
b = (5)($7)
c = $7
d = 5
Answer:
B) (5)(7)
Step-by-step explanation:
The total cost is $35.00
Helping in the name of Jesus.
what is a percentage?
Answer: A percentage is a way of expressing a number as a fraction of 100. It is denoted by the symbol % and is used to indicate a proportion or a part of a whole. For example, 50% means 50 out of 100, or half of a whole. Percentages are commonly used in a variety of contexts, including finance, mathematics, statistics, and everyday life. They are used to express changes in quantity or value, to calculate interest rates, to compare different amounts or values, and to represent probabilities and percentages in statistics.
Step-by-step explanation:
Answer:
Sure, here's a longer and cooler explanation of percentages:
In our everyday lives, we often encounter situations where we need to compare one quantity to another. For example, we might want to know what percentage of a pizza we've eaten, or what percentage of our salary goes towards taxes. That's where percentages come in – they allow us to express one quantity as a fraction of another, using a common base of 100.
So, what is a percentage, exactly? At its most basic level, a percentage is simply a way of expressing a fraction with a denominator of 100. For example, if we say that 25 out of 100 people like pizza, we can also say that 25% of people like pizza. The symbol "%" is used to represent a percentage, so we would write this as "25%".
But percentages are more than just a shorthand way of writing fractions – they also allow us to easily compare different quantities, even if they have different units. For example, if we know that a product has a 20% discount, we can easily calculate the sale price without needing to know the original price. Similarly, if we know that a city's population has increased by 10%, we can compare this to the population of another city, even if the actual numbers are different.
Percentages are used in a wide range of fields, from finance to science to sports. In finance, percentages are used to calculate interest rates, inflation, and stock market returns. In science, percentages are used to express probabilities, error margins, and experimental results. And in sports, percentages are used to compare player statistics and determine playoff rankings.
In short, percentages are a powerful tool for expressing and comparing quantities. Whether you're calculating a discount, measuring your golf handicap, or analyzing data from a scientific experiment, percentages are an essential part of the process. So next time you see a percentage sign, remember that it's not just a symbol – it's a gateway to a whole world of numerical comparisons and insights.
Step-by-step explanation:
I need help with this
The least cοmmοn denοminatοr οf the fractiοn is 24.
What is fractiοn?Part οf a whοle is a fractiοn. The quantity is written as a quοtient in mathematics, where the numeratοr and denοminatοr are divided. Each is an integer in a simple fractiοn. Whether it is in the numeratοr οr denοminatοr, a cοmplex fractiοn cοntains a fractiοn. The numeratοr and denοminatοr οf a cοrrect fractiοn are οppοsite each οther.
Here the given fractiοn is \($\frac{11}{8}\ \text{and}\ \frac{7}{12}\).
We knοw that Least cοmmοn denοminatiοn οf the fractiοn is lοwest cοmmοn multiple. Then, factοrs οf the denοminatοr
8 = 2*2*2
12=2*2*3
Nοw LCD = 2*2*2*3 = 24.
Hence the least cοmmοn denοminatοr οf the fractiοn is 24.4.
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How many cups of sugar will he use if he makes 8 gallons of tea?
Answer: 36
Step-by-step explanation: Multiplication
A final exam in Math 160 has a mean of 73 with standard deviation 7.8. If 24 students are randomly selected, find the probability that the mean of their test scores is greater than 78. A) 0.0103 B) 0.0008 C) 0.8962 D) 0.0036
The probability that the mean of their test scores is greater than 78 is 0.0301.
Given,
Mean = 73
Standard Deviation σ = 7.8
Number of students randomly selected = 24
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x.
The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
The number of standard deviations from the mean is called the z - score and can be found by the formula
Z = (x - μ)/σ.
Z = (70 - 73)/(7.8/√24) = -1.88442228
P(z < -1.88) = 0.0301
Therefore, P(z < -1.88) = 0.0301
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The three inner circles are congruent
which measurement is closest to the
area of the largest outside circle in
square centimeters?
a 56. 52 cm
b 254. 34 cm
113 04 cm
5 cm
1,017 36 cm
The area of the largest outside circle in square centimeters is closest to e)1,017.36 cm².
The area of the largest circle is equal to the sum of the areas of the three inner circles and the area of the white region between them. Since the three inner circles are congruent, we can divide the white region into three equal parts. Let the radius of each inner circle be 'r'. Then, the radius of the largest circle is '3r'.
The area of the white region is the difference between the area of the square and the sum of the areas of the three congruent sectors. The area of each sector is (1/6)πr².
Therefore, the area of the white region is (9/4) r². Finally, we can use the formula for the area of a circle to find the area of the largest circle: A = π(3r)² + 3(1/6)πr² - (9/4) r² = (63/4)πr². If we substitute the value of r as 6 cm (since the diameter of the inner circle is 12 cm), we get the area of the largest circle as (63/4)π(6)² ≈ 1,017.36 cm²(e).
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If the variable h represents how many hours samantha works, write an algebraic expression that describes how much
samantha earns if she makes $14. 55 an hour. Create another an real life algebraic expression (or equation). Choose and define your variable
The algebraic expression that describes how much Samantha earns after h hours if she makes $14.55 an hour is x = $14.55h, where x is the amount of money she earns and h is the number of hours she works.
An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question.
If Samantha makes $14.55 an hour, and h is the number of hours she works, then the algebraic expression to demonstrate how much she earns is:
x = $14.55h
where x = amount of money she earns
h = number of hours she works
Another real life situation:
A piggy bank contains $25, and $1.50 is added each day. The algebraic expression to demonstrate how much money the piggy bank contains is:
m = $25 + $1.50(d)
where m = amount the piggy bank contains after d days
d = number of days
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35. Mathematical Connections A streamer is
launched 3 s after a fuse is lit and lands 8 s
after it is lit.
у
100
80
60
Height (ft)
40
20
0
0
X
8 10
2 4 6
Time (s)
a. What is a quadratic equation in factored
form that models the situation?
Launching the fuse is an illustration of a quadratic model, and the equation of the quadratic model is f(x) = 15(x - 3)(x - 8)
How to model the quadratic equation?From the complete question, the zeros of the quadratic function are:
x = 3 and x = 8
Rewrite as:
x - 3 = 0 and x - 8 = 0
So, the quadratic equation is:
f(x) = a(x - 3)(x - 8)
Also from the graph, we have the following point
(x,y) = (4,60)
Substitute 4 for x and 60 for f(x) in the function
a(4 - 3)(4 - 8) = 60
Evaluate the difference
a(1)(-4) = 60
Evaluate the product
-4a = 60
Divide both sides by 4
a = -15
Substitute a = -15 in f(x) = a(x - 3)(x - 8)
f(x) = -15(x - 3)(x - 8)
Hence, the equation of the quadratic model is f(x) = 15(x - 3)(x - 8)
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A mermaid has a terrarium that measures 42 inches × 10 inches × 9 inches. She also has a box that measures 3 inches × 3 inches × 3 inches. Every minute, the mermaid fills the box with sand from her backyard and then pours the sand into the terrarium. How many minutes does it take the mermaid to fill three-quarters of the terrarium with sand?
9514 1404 393
Answer:
105 minutes
Step-by-step explanation:
The volume of the terrarium is ...
V = LWH
V = (42 in)(10 in)(9 in) = 3780 in³
The volume of a box is ...
V = (3 in)(3 in)(3 in) = 27 in³
Then the number of boxes it takes to fill the terrarium is ...
(3780 in³)/(27 in³/box) = 140 boxes
The mermaid wants to fill it 3/4 full, so only needs 3/4 this number of boxes. That is 105 boxes. At the rate of 1 per minute, ...
it will take 105 minutes to fill 3/4 of the terrarium
in how many ways can 3 students be seated in a row of 3 chairs if jack insists on sitting in the first chair?
There are 2 ways that 3 students be seated in a row of 3 chairs with jack in the first chair
What is permutation?It is the ordered arrangement of members belonging to a set with no repeats.
To solve this problem the formula and the permutation procedure we must use is:
nPr = n! / (n-r)!
Where:
nPr = permutationn = total number of objectsr = number of selected objects! = factorial of the numberInformation about the problem:
n = 2r = 2Applying the permutation formula we have:
nPr = n! / (n-r)!
3P3 = 2! / (2-2)!
3P3 = 2! / 0!
3P3 = 2*1 / 1
3P3 = 2
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Please help!! 40 Points!!!!!
Answer:
see explanation
Step-by-step explanation:
A
when 2 equal bases are being multiplied together their exponents are added together, that is
\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)
B
\(12^{5x}\) × \(12^{-7}\) = \(12^{5x-7}\)
C
\(x^{4}\)\(y^{6k+2}\) × x²\(y^{-1}\)
= \(x^{4}\) × x² × \(y^{6k+2}\) × \(y^{-1}\)
= \(x^{(4+2)}\) × \(y^{(6k+2-1)}\)
= \(x^{6}\)\(y^{6k+1}\)
#A
a^b+a^c=a^b+c#B
12^5x×12^-712^5x-7#C
x⁴y^6k+2×x²y^-1x⁶y^6k+2-1x⁶y^6k+1Does the following linear programming problem exhibit infeasibility, unboundedness, or alternate optimal solutions? Explain.
Min 1X + 1Y
s.t. 5X + 3Y < 30
3X + 4Y > 36
Y < 7
X , Y > 0
The given linear programming problem does not exhibit infeasibility, unboundedness or alternate optimal solutions.
Linear programming is an optimization technique to solve optimization problems. Linear programming is the process of optimizing a linear objective function of several variables subject to constraints on the variables. A linear programming model always has an objective function and constraints expressed as linear equations or inequalities.
Linear programming can be solved graphically or by using the simplex algorithm. The given linear programming problem isMin 1X + 1Ys.t. 5X + 3Y < 303X + 4Y > 36Y < 7X , Y > 0There are three constraints in the given linear programming problem, and each of them can be represented by a straight line in a two-dimensional graph. The feasible region is the shaded area where all the constraints are satisfied.
The objective function can be represented by a straight line as well.The feasible region in the given linear programming problem is not empty, which means there is at least one feasible solution. The feasible region is bounded, which means the optimal solution exists.
The objective function has a finite minimum value, which means the optimal solution is unique. Therefore, the given linear programming problem does not exhibit infeasibility, unboundedness or alternate optimal solutions.
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I really need help with this
Answer:
Did this help??
Step-by-step explanation:
a.) 5x = m
5x = you and four friends.
m = money for food
b.) Plug in
5(5.25) = m
26.25 = m
I really need help Find X please
The value of x is given as follows:
x = 62º.
How to obtain the value of x?We have two secants in this problem, and point C is the intersection of the two secants, hence the angle measure of x is half the difference between the angle measure of the largest arc by the angle measure of the smallest arc.
The arc angles are given as follows:
23º and 147º.
Hence we can obtain the measure of x as follows:
x = 0.5 x (147 - 23)
x = 62º.
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Emily and Molly are selling pies for a school fundraiser. Customers can buy cherry pies and lemon pies. Emily sold 4 cherry pies and 1 lemon pie for a total of $30. Molly sold 8 cherry pies and 6 lemon pies for a total of $100. What is the cost for one CHERRY pie
Answer:
cherry pie = 5lemon pie =10Step-by-step explanation:
Step one:
let cherry be x
and lemon be y
the systems of the equation for the solution is given as
4x+y=30-----------1
8x+6y=100------2
Step two:
solve the equation simultaneously by substitution we have
4x+y=30
y=30-4x
put y=30-4x in equation 2
8x+6(30-4x)=100
8x+180-24x=100
8x-24x=100-180
-16x=-80
x=80/16
x=5
put x=4 in y=30-4x
y=30-4(5).
y=30-20
y=10
Tommy earned $14.80 in interest after 4 years on a principal of $100. His simple interest 4 rate is 3.7%. Jane earned $140.40 in interest after 3 years on a principal of $1,200. Her simple 3 interest rate is 3.9%. Which bank would you rather use, Tommy's or Jane's? Explain your reasoning.
Given:
Tommy earned $14.80 in interest after 4 years on a principal of $100. His simple interest rate is 3.7%
Jane earned $140.40 in interest after 3 years on a principal of $1,200. Her simple 3 interest rate is 3.9%.
So, the simple interest rate of Jane's is greater than the simple interest rate of Tommy's because 3.9% > 3.7%
so, the bank that would be used is Jane's bank
Test each of the following series for convergence by the Integral Test. If the Integral Test can be applied to the series, enter CONV if it converges or DIV if it diverges. If the integral test cannot be applied to the series, enter NA. (Note: this means that even if you know a given series converges by some other test, but the Integral Test cannot be applied to it, then you must enter NA rather than CONV.)
1. [infinity]∑n=1 ne−7n
2. [infinity]∑n=1 n+6(−9)n
3. [infinity]∑n=1 ne7n
4. [infinity]∑n=1ln(4n)n
5. [infinity]∑n=1 3nln(5n)
Convergent in mathematics is a property of approaching a limit more and more explicitly as an argument (variable) of the function increases or decreases or as the number of terms of the series gets increased.
[infinity]∑n=1 ne−7n: The Integral Test can be applied to this series. To use the Integral Test, we need to find an appropriate function whose derivative is positive and increasing and whose series is comparable to the given series. For this series, we can use the function\(f(x) = xe^(-7x)\). Its derivative is f'(x) = \(e^(-7x) - 7xe^(-7x)\) which is positive for x >= 0 and increasing for x >= 0. Moreover, the series [infinity]∑n=1 ne−7n is smaller than the corresponding definite integral, which implies that the series converges. Therefore, the answer is CONV.[infinity]∑n=1 n+6(−9)n: The Integral Test cannot be applied to this series because the terms are not positive. Therefore, the answer is NA.[infinity]∑n=1 ne7n: The Integral Test can be applied to this series. To use the Integral Test, we need to find an appropriate function whose derivative is positive and increasing and whose series is comparable to the given series. For this series, we can use the function\(f(x) = xe^(7x).\) Its derivative is\(f'(x) = e^(7x) + 7xe^(7x)\) which is positive for x >= 0 and increasing for x >= 0. Moreover, the series [infinity]∑n=1 ne7n is larger than the corresponding definite integral, which implies that the series diverges. Therefore, the answer is DIV.[infinity]∑n=1 ln(4n)n: The Integral Test can be applied to this series. To use the Integral Test, we need to find an appropriate function whose derivative is positive and increasing and whose series is comparable to the given series. For this series, we can use the function f(x) = ln(4x). Its derivative is f'(x) = 1/x which is positive and increasing for x >= 1. Moreover, the series [infinity]∑n=1 ln(4n)n is smaller than the corresponding definite integral, which implies that the series converges. Therefore, the answer is CONV.[infinity]∑n=1 3nln(5n) : The Integral Test can be applied to this series. To use the Integral Test, we need to find an appropriate function whose derivative is positive and increasing and whose series is comparable to the given series. For this series, we can use the function f(x) = 3xln(5x). Its derivative is f'(x) = 3ln(5x) + 9 which is positive for x >= e^(3/9). Moreover, the series [infinity]∑n=1 3nln(5n) is smaller than the corresponding definite integral, which implies that the series converges. Therefore, the answer is CONV.For more such questions on convergence
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PLEASE HELP ME!!
The QUADRATIC curve-of-best-fit for the data in the table is given by the equation
A) y = 0.8x2 + 1.7x - 1.4.
B) y = 1.1x2 + 2.2x - 1.2.
C) y = 1.4x2 - 2.9x + 1.0.
D) y = 2.3x2 - 2.4x + 3.5
Equation D , y =2.3x²-2.4x+3.5 gives the Quadratic curve-of-best-fit for the data in the table.
What is a Quadratic Equation ?A Quadratic equation is an equation that can be represented as
y = ax²+bx+c
Here in the question the data points and the quadratic equations are given ,
We have to find the best fit
From the graph attached the best fit can be determined.
Equation D , y =2.3x²-2.4x+3.5 gives the Quadratic curve-of-best-fit for the data in the table.
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Find the value of x in the following
please answer
Answer: figure it out yourself, please right noe
Step-by-step explanation:
Step-by-step explanation:
I think the uestion might be wrong
A classroom at Hilldale Middle School is a square with a side length of 6 units. What is the perimeter of the classroom?
Since the classroom is a square with a side length of 6 units, all sides are equal.
To find the perimeter, we add up the length of all four sides:
Perimeter = 6 + 6 + 6 + 6
Perimeter = 24
Therefore, the perimeter of the classroom is 24 units.
due today help meeeeeee
Answer:
√(209)
Step-by-step explanation:
Since <B is a right angle, AC is the hypotenuse and AB and BC are legs.
(AB)² + (BC)² = (AC)²
(4 mm)² + (BC)² = (15 mm)²
16 mm² + (BC)² = 225 mm²
(BC)² = 209 mm²
BC = √(209) mm
Solve for x:
x+1/4 = 5/8
STEP 1: Cross multiply and write the new equation: ________
STEP 2: Add/Subtract on both sides and write the new equation: _______
STEP 3: Divide both sides of the equation and write the solution:
x = ________
Answer:
x = 3/8
Step-by-step explanation:
\(x + \dfrac{1}{4}=\dfrac{5}{8}\\\\\dfrac{4x + 1}{4}=\dfrac{5}{8}\)
Cross multiply,
8*(4x +1) = 5*4
8*4x + 8*1 = 20
32x + 8 = 20
Subtract 8 from both sides
32x = 20 - 8
32x = 12
Divide both side by 32
x = 12/32
x = 3/8
Help plsssssssss i don't know this!!!!!!!!!!!!!!!!
Answer: a
Step-by-step explanation: I did the test
Answer:
The total cost is $6.25
Step-by-step explanation:
3/4 of 1 kilo of rect
4/5 of 1 kilo of square
3/5 of 1 kilo of flower
rect = 3 per kilo
square = 3 per kilo
flower = 3 per kilo
First rectangle beads:
3x = y where x is number of kilos and y is full cost
3(3/4) = y
9/4 = y = 2 1/4 = $2.25
Second square beads:
3x = y where x is number of kilos and y is full cost
3(4/5) = y
12/5 = y = 2 2/5 = $2.20
Third flower beads:
3(x) = y where x is number of kilos and y is full cost
3(3/5) = y
9/5 = y = 1 4/5 = $1.80
Add costs together
1.80 + 2.20 + 2.25 = 6.25
The total cost is $6.25