Answer:
The given statement is true.
In general, the growth rate of exponential functions is far greater than the quadratic function. This can be illustrated through an example.
Consider an exponential function and a quadratic function .
Note that the leading coefficient of the quadratic function is far greater than the base of the exponential function but still the exponential function will exceeds the quadratic function after x = 15.664 as shown in the graph below.
Therefore, we can conclude that the given statement is correct.
Factor the Polynomial: 51c^3-34c
Answer:
17 c (3 c^2 - 2)
Step-by-step explanation:
Factor the following:
51 c^3 - 34 c
Hint: | Factor common terms out of 51 c^3 - 34 c.
Factor 17 c out of 51 c^3 - 34 c:
Answer: 17 c (3 c^2 - 2)
A jar contains 10 marbles marked with the numbers 1 through 10. You pick a marble at random. What is the probability of not picking the marble marked with the number 3? Enter you’re answer as a simplified fraction.
Answer:
1/10
Step-by-step explanation:
There's 10 marbles that you can pick, and there's only one marble with a 3 on it. So it'd be 1/10
I did the question and the correct answer was 9/10. Not 1/10 like the other answer.
0.18 of what number is 4.68?
Answer:
26
0.18x = 4.68
x = 4.68/0.18
x = 26
Step-by-step explanation:
The number 26 is 0.18 of the number 4.68.
What is an expression?Mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that 0.18 times, the number is 4.68. The value of the unknown number is calculated below;-
Let the unknown number be x and now form an equation and solve for the value of x.
0.18x = 4.68
x = 4.68/0.18
x = 26
Therefore, the number 26 is 0.18 of the number 4.68.
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1 2/3 times 2 3/5 ??????????????????
Answer:
13/3 or 4 1/3
Step-by-step explanation:
First you convert your mixed numbers into improper fractions:
5/3 × 13/5
You can reduce these fractions by the greatest common factor of 5
1/3 × 13
Multiply
1/3 × 13 = 13/3 or 4 1/3
Tory and Emilios motor boat to travel at the same speed. Tory pilots her boat 50 km before docking. Emilio continues for another 2 hours traveling a total of 120km before docking. How long did it take Tory to navigate the 50 km
Answer: 1.43 hours
Step-by-step explanation:
Let their speeds be = x km/h
The time taken by Tory will be= 50/x hours to dock
Emilio pilots for another 2 hours and this will be= (50/x)+2) hours
Emilio pilots 120 km for (50/x)+2) hours
d/t=r
120/(50/x) +2) =x
120 = [x(50/x) +2)]
120= 50+2x
2x= 120-50
2x = 70
x= 70/2
x = 35
Tory takes 50/35 = 1.43 hours for 50 km.
dooood is this answer dependent???????????????????
Step-by-step explanation:
Step 1: Determine which option
First let me explain you what dependent means, it means that the next event is affected by the previous event. On the other hand, independent means that all of the events have the same chance of happening and the items don't disappear.
In this question, if a person chooses a donut there are no more of that type and the next event is affect by the previous one. Therefore, this question is dependent.
Answer: Dependent
PLEASE HELP!!!!!!!!!!!! WILL GIVE CORRECT ANSWER BRAINLIEST!!!!!!!!!
the diagram below shows the rectangle LINT. Find the perimeter of the rectangle LINT. if entering your answer as a decimal, round your final answer to the nearest hundredth
(pls ignore the messy screen)
Answer:22.75
Step-by-step explanation:
2n-3/ 10n^2-17n+3 multiplied by 15n^3-3n^3/ 6n^2-6n
Show the work
Multiplying Rational Expressions
Algebra 1 honors
PLEASE HELP ILL MARK BRAINIEST
Answer:
[tex]\frac{2n^2}{5n^2-6n+1}[/tex]
Step-by-step explanation:
The problem is as follows:
[tex]\frac{2n-3}{10n^2-17n+3} *\frac{15n^3-3n^3}{6n^2-6n}[/tex]
To make this problem simpler to solve, you can simplify the fractions. The first fraction can be simplified by factoring the denominator and cancelling out like factors.
[tex]\frac{2n-3}{10n^2-17n+3} \\\frac{2n-3}{(2n-3)(5n-1)} \\\frac{1}{5n-1}[/tex]
The second fraction can be simplified by cancelling out like factors.
[tex]\frac{15n^3-3n^3}{6n^2-6n}\\\frac{12n^3}{6n^2-6n}\\\frac{2n^2}{n-1}[/tex]
Now, you can multiply the two fractions quite easily
[tex]\frac{1}{5n-1} *\frac{2n^2}{n-1}\\\frac{2n^2}{5n^2-6n+1}[/tex]
Factor out the greatest common factor of 25x^5-10x^3-15x
Answer:
5x (5x²+3) ( x-1 ) ( x+1 )
Step-by-step explanation:
hope this helps
Drag the vertices of the triangle below to draw a right triangle with side lengths 5, 12, and 13.
I hope that helps, coz l've done what i know
What is the slope and x-intercept of y=2x+1?
Answer:
slope: 2
x-intercept = -1/2
Step-by-step explanation:
The equation is in y = mx + b form. m = slope. The slop is equal to 2.
To find the x-intercept set y equal to 0 and solve for x.
0 = 2x + 1
-1 = 2x
x = -1/2
Answer:
slope= 2
x intercept=-0.5 or -1/2
Step-by-step explanation:
y= mx+b
m is the slope, therefore 2 is the slope of the equation.
X-intercept
substitute 0 to y
0=2x + 1
Subtract 1 from both sides
0-1=2x+1-1
-1=2x
Divide both sides by 2
-1/2=2x/2
x=-1/2 or -0.5
The owner of a computer repair shop has determined that their daily revenue has mean $7200 and standard deviation $1200. The daily revenue totals for the next 30 days will be monitored. What is the probability that the mean daily revenue for the next 30 days will exceed $7000? Round to four decimal places.
Answer:
0.0853
Step-by-step explanation:
Step 1
The first step would be to find the Z score
Formula for Z score is given as
z = x – μ /( σ ÷ √n)
Where
x = observed value
μ = mean
σ = Standard deviation
n = sample size
In the question we were given the above values as :
x = observed value = $7500
μ = mean = $7200
σ = Standard deviation = $1200
n = samples size = 30
Z score (z) = $7500 – $7200 /($1200÷ √30)
Z score = $300/ ( $1200 ÷ √30)
Z score = 1.3693063938
Approximately, the Z score = 1.37
Step 2
Using this formula:
1 - P(z > 1.37)
Using the Standard distribution table,
P(z > 1.37) is given as
0.9146565
Therefore,
1 - P(z > 1.37)
= 1 - 0.9146565
= 0.0853435
In the question we were asked to round it up to 4 decimal places
= 0.0853
Therefore, the probability that the mean daily revenue for the next 30 days will exceed $7000 is 0.0853.
log(x-1)+log(x+2)=log12
Answer:
x = 3
Step-by-step explanation:
The solution to the equation is x = (-1 + √(57))/2.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Using the logarithmic identity log(a) + log(b) = log(ab), we can simplify the left side of the equation:
log(x - 1) + log(x + 2) = log((x - 1)(x + 2))
So the equation becomes:
log((x - 1)(x + 2)) = log 12
Using the logarithmic identity log(a) = b is equivalent to a = 10^b, we can rewrite the equation as:
(x - 1)(x + 2) = 12
Expanding the left side and simplifying, we get:
x² + x - 14 = 0
Using the quadratic formula, we find:
x = (-1 ± √(1 + 4 x 14))/2
x = (-1 ± √(57))/2
Since we can't take the logarithm of a negative number, we discard the negative solution and obtain:
x = (-1 + √(57))/2
Therefore,
The solution to the equation is x = (-1 + √(57))/2.
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Given the linear correlation coefficient r and the sample size, n, determine the critical values of r and use you finding to state whether or not the given r represents a significant linear correlations. Use a significance level of 0.05 . r = 0.105, n = 15
A.) Critical values: r= ± 0.514, no significant linear correlation.
B.) Critical values: r = ± 0.514,significant linear correlation.
C.) Critical values: r= ± 0.532, no significant linear correlation.
D.) Critical values: r = 0.514, no significant linear correlation
Answer: A.) Critical values: r= ± 0.514, no significant linear correlation
Step-by-step explanation:
r = 0.105
n = 15
The level of significance for a two-tailed test is 0.05
The degrees of freedom = n - 2 = 15 - 2 = 13
Using the pearson product moment correlation Coefficient table ; The critical value for the correlation Coefficient is ±0.513977
When the correlation coefficient (for a sample of 15 drawn from the same population) is less than ±0.514 (critical value), that means no significant linear correlation exists.
The length of a rectangle is 10 feet longer than it is wide. If each side is increased 10 feet, then the area is multiplied by 2. What was the size of the original rectangle?
PLEASE PLEASE HELP. 50 POINTS AND BRAINLY
Answer:
The with and length of the original rectangle are:
width: 20 ft
Length: 30 ft
Step-by-step explanation:
Lets check
Yes, 30 is 10 longer then 20,
the area of the original is 600
if it was 40 and 30 then it would equal 1200
evaluate the expression
Factor the number: 64 = [tex]4^3[/tex]
Apply radical rule: [tex]\sqrt[n]{a^n}[/tex] = a
a [tex]\geq 0[/tex]
[tex]\sqrt[3]{4^3} =4[/tex]
= 4
what is 75% of 52?
show work pls tnx!
75% of 52 would be 39.
The first step would be to multiply 52 by 0.75 (turning the percentage into a decimal). After that, it should come out as 39.
If this helped in any way, please thank, rate, and mark as brainliest. If you have any other questions or concerns, feel free to ask! Thank you, stay safe, and have a great rest of your day/quarantine!
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kitchen sets at a furniture store.
Can the height of the chairs be represented as a function of the height of the table?
Table (centimeters)
75
Chairs (centimeters)
46
74
44
76
47
75
72
77
76
71
Yes or no?
Answer: yes
Step-by-step explanation:
3. Para encontrarmos o resultado de 300 – 650, podemos: a) efetuar 650 + 300 e manter o sinal do resultado b)efetuar 650 + 300 e inverter o sinal do resultado c) efetuar 650 – 300 e manter o sinal do resultado d) efetuar 650 – 300 e inverter o sinal do resultado
Answer:
To find the result of 300 - 650, we can:
a) do 650 + 300 and keep the result sign
b) do 650 + 300 and invert the result sign
c) do 650 - 300 and keep the result sign
d ) perform 650 - 300 and invert the result sign
Step-by-step explanation:
The correct answer is the letter D .
(perform 650 - 300 and invert the result sign)
300 - 650
300 is more than - 650 on the number line this is because of the negative sign of 650
so we can also write it as 650 - 300 and after getting the require result with put the negative sign to the result, so the result will be -350
Keep the sign of the number with the highest absolute value and subtract from it the lowest absolute value.
- (650 - 300)
Subtract the numbers.
- 350
therefore, the answer is d ) perform 650 - 300 and invert the result sign
What is true regarding two adjacent arcs created by two intersecting diameters?
They always have equal measures.
The difference of their measures is 90°.
The sum of their measures is 180°.
Their measures cannot be equal.
Answer:
The sum of their measures is 180°.
vJoey has 2/3 of a gallon of ice cream. He divides the ice cream for his friends so that 1/12 of a gallon is in each bowl. How many bowls will he use?Joey has of a gallon of ice cream. He divides the ice cream for his friends so that of a gallon is in each bowl. How many bowls will he use?
Answer:
8 bowls
Step-by-step explanation:
2/3 = 8/12
8/12 ÷ 1/12 = 8
This should be right. Sorry if it isn't.
Answer:
8 bowls
Step-by-step explanation:
In total, we have 2/3 of a gallon of ice cream. Essentially, we want to divide this 2/3 gallons into b bowls such that each bowl has 1/12 of a gallon.
We can write this as the mathematical equation:
2/3 ÷ b = 1/12
Multiply both sides by b:
2/3 = (1/12) * b
Divide both sides by 1/12:
(2/3) ÷ (1/12) = b
Remember that when dividing fractions, it's the same as multiplying by the reciprocal, so:
(2/3) ÷ (1/12) = b
(2/3) * (12/1) = b
b = 8
Thus, the answer is 8 bowls.
Which of the following questions is a statistical question? (4 points)
Group of answer choices
What is the top-selling board game?
In what aisle are the board games located in the local store?
How many board games require a deck of cards to play?
How many board games have you played in the past month?
Answer:
Answer: D. How many bored games have you played in the past month
D because a statistical question is where you collect data and has to have a variability in that data.
Because it’s statistical
Step-by-step explanation:
Answer:
C. How many board games require a deck of card to play?
Step-by-step explanation:
A. is automatically out because you will only get one answer and you need to have veniality.
B. is also automatically out because then again you will only get one answer.
D. is a tricky one thought, it may look like it is the right answer but it is not because you will once again only get one answer. And based on how the question was worded it sounds like they were asking a specific person. (You have to ask more than one person in order to make that question statistical.)
For example, Say the question was: How many times have you watched star wars this past month? It may not be the same question but it has the same format. So, if you ask someone how many times have they had watched Star Wars this past month, they will say a specific number, like 7. The same goes with question D.
Hope this helped! :)
Which are solutions of the equation (x + 5)(x - 3) = 0? Check all that apply.
O
O
O
x=-15
x=-5
x=-3
x = 2
x=3
x=5
O
O
O
Step-by-step explanation:
Step 1: Find the solutions
[tex](x + 5)(x - 3) = 0[/tex]
(x + 5) = 0
[tex]x + 5 - 5 = 0 - 5[/tex]
[tex]x = -5[/tex]
(x - 3) = 0
[tex]x - 3 + 3 = 0 + 3[/tex]
[tex]x = 3[/tex]
Answer: Options B, E
The price of 8 citrons and 9 fragrant wood apples is 145 units. The price of 9 citrons and 8 fragrant wood apples is 144 units. Find the price of a citron and the price of a wood apple.
Answer:
The price of a citron is 8 and the price of a wood apple is 9
Step-by-step explanation:
First of all we make two equations that represents the problem
c = citrons price
w = wood apples price
8c + 9w = 145
9c + 8w = 144
we clear c in the first equation
8c + 9f = 145
8c= 145 - 9w
c = (145 - 9w) /8
c = 145/8 - 9w/8
we replace c by (145/8 - 9w/8) in the second equation and solve
9(145/8 - 9w/8) + 8w = 144
163.125 - 10.125w + 8w = 144
163.125 - 144 = 10.125w - 8w
19.125 = 2.125w
19.125/2.125 = w
9 = f
now we replace w in the first equation
8c + 9w = 145
8c + 9(9) = 145
8c + 81 = 145
8c = 145 - 81
8c = 64
c = 64 / 8
c = 8
The price of a citron is 8 and the price of a wood apple is 9
A rectangle's length is three times its width, w. Its area is 243 square units. Which equation can be used to find the width of
the rectangle?
w = 3(243)
3w2 = 243
4w = 243
3w2 = 3(243)
Answer:
Step-by-step explanation:
Width = w
Length = 3w
Area = 243 square units
length *width = 243
3w * w = 243
3w² = 243
The equation that can be used to find the width of the rectangle is 3w² = 243.
What is a Rectangle ?A rectangle is a polygon having four sides , The opposite sides are equal to each other and measure of all the angles is 90 degrees.
It is given that
A rectangle's length is three times its width, w.
l = 3w
Its area is 243 square units.
Area of a rectangle is given by
length * breadth
l*w
3w*w = 243
3w² = 243
equation that can be used to find the width of the rectangle is 3w² = 243.
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Line segment ON is perpendicular to line segment ML.
Circle O is shown. Line segments M O, N O, and L O are radii. Lines are drawn to connects points M and N and points N and L to form chords. A line is drawn from point M to point L and intersects line O N at point P. The length of O M is 13 and the length of P N is 8. Angle O P L is a right angle.
What is the length of chord ML?
20 units
24 units
26 units
30 units
Answer:
B. 24 units
Step-by-step explanation:
Each triangle has 13 as the hypotenuse and 8 as a leg length; the lengths carry over.
The longer leg length (MP & PL) is 12 from the pythagorean theorem.
13^2 - 8^2 = 12^2.
MP + ML = PL, so 12 + 12 = 24.
Answer:
24
Step-by-step explanation:
5 times the difference of a number and 3?
The number is 2 if five times the difference between a number and three is negative five the answer is 2.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The question is incomplete.
The complete question is:
Five times the difference between a number and three is negative five. Find the number.
Let's suppose the number is x
From the question:
5(x - 3) = -5
After using the distributive property:
5x - 15 = -5
Add 15 on both sides:
5x - 15 + 15 = 10 + 15
5x = 25
Divide by 5 into both sides
x =25/5
x = 2
Thus, the number is 2 if five times the difference between a number and three is negative five the answer is 2.
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20. Helen and Carla live in states that have
different sales tax rates. They each bought
a new bicycle. Helen paid $14 for a 5.6%
sales tax on her bicycle. Carla paid $12 for
a 4.8% sales tax on her bicycle. Who paid
more for their bicycle, not including sales
tax?
Answer: Helen paid $250 for the bike
Carla paid $250 for the bike.
They both paid the same amount
Step-by-step explanation:
Final answer:
By calculating the pre-tax prices of the bicycles using the provided sales tax amounts and rates, we determine that both Helen and Carla's bicycles cost $250 before tax, meaning neither paid more for their bicycle excluding the sales tax.
Explanation:
To determine who paid more for their bicycle excluding the sales tax, we need to calculate the pre-tax price of each bicycle using the sales tax amounts given. This requires us to work backwards from the sales tax paid to the original cost of the item.
For Helen, we know that the sales tax was $14, and the rate was 5.6%. We find the pre-tax price by dividing the sales tax paid by the sales tax rate (converted into decimal form):
Pre-tax price for Helen = $14 / 0.056 = $250
For Carla, the sales tax was $12, and the rate was 4.8%. The pre-tax price calculation is similar:
Pre-tax price for Carla = $12 / 0.048 = $250
Since both pre-tax prices are equal, neither Helen nor Carla paid more for their bicycle when we do not include the sales tax.
Find the slope and the y-intercept of the line.
- 6x + 3y = -9
Write your answers in simplest form.
slope:
E
Undefined
y-intercept:
Answer:
Y-intercept:3
slope: -6
Step-by-step explanation:
because the slope ends with x because that's what will go on the x line of a graph.and the y-intercept ends with y because that's how the number will increase.Hope it helps:)!
The equation -6x + 3y = -9 is rearranged to y = 2x - 3. The slope (m) is 2, and the y-intercept (b) is -3.
To find the slope and y-intercept of the line represented by the equation -6x + 3y = -9, we need to rearrange it into the slope-intercept form (y = mx + b), where m is the slope, and b is the y-intercept.
Step 1: Rearrange the equation:
-6x + 3y = -9
Add 6x to both sides:
3y = 6x - 9
Step 2: Solve for y:
Divide both sides by 3 to isolate y:
y = (6/3)x - (9/3)
y = 2x - 3
Now, the equation is in the slope-intercept form. The slope (m) is the coefficient of x, which is 2, and the y-intercept (b) is the constant term, which is -3.
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Solve for x. Assume that lines which appear tangent are tangent
Answer: A:12
Step-by-step explanation:
10*x=10x
15*8=120
120/10x=12
The value of x for the given problem is 12.
A straight line segment joining two points on a circle is called a chord. It is, in fact, a segment of a line whose ends lie on the circle. Drawing a line segment between the two ends and passing through the center of the circle is a common method of symbolizing a chord.
The products of the measures of the chord segments are equal when two chords cross over one another.
The following is the product to get the length x:
10 * x = 8 * 15
10x = 120
x = 120/10
x = 12
Therefore, the value of x is 12