Answer:
5/6
Step-by-step explanation:
The solution of the given fraction is 5/6.
Given that:
Fraction: divided 2/3 by 4/5
To calculate the division of fractions, simply need to multiply the first fraction by the reciprocal of the second fraction.
\(\dfrac{2/3}{4/5} =\dfrac{2}{3} \times \dfrac{5}{4}\\\dfrac{2/3}{4/5} =\dfrac{(2 \times5)}{(3 \times4) }\\\dfrac{2/3}{4/5} =10 / 12\)
To simplify the fraction, you can divide both the numerator and the denominator by their greatest common divisor, which is 2:
10 / 12 = 5 / 6
So, 2/3 divided by 4/5 is equal to 5/6.
Hence, the required result is 5/6.
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In a video racing game, an obstacle randomly appears on the race track 3 times every 20 laps. Estimate the number of times the obstacle will appear in 100 laps
Answer:
15
Step-by-step explanation:
100 laps
100 divided by 20 Is 5
3 x 5 is 15
please brainliest me
A CD account contains $5,400 today. The account earns an annual interest of 7% for each of the next four years. The bank uses the equation A=5,400(r)^y to determine the amount of money in the account,A, after y years if no other deposits or withdrawals are made.
What numerical value should the banks use for r?
To the nearest dollar,how much money will bein the CD account at the end of the four years? (Note: Disregard the $ sign when gridding your answer)
Using an exponential function, it is found that:
The banks should use a value of r of r = 1.07.The balance of the account at the end of four years is of: $5,899.What is an exponential function?An increasing exponential function is modeled according to the rule presented next:
\(A(t) = A(0)(1 + k)^t\)
In which the parameters of the exponential function are as follows:
A(t) is the amount after t years.A(0) is the initial amount of the function.k is the growth rate of the function, as a decimal.In this problem, the values of the parameters are given as follows:
A(0) = 5400, which is the value of the investment.k = 0.07, which is the growth rate of the balance.Then the function is:
\(A(t) = 5400(1.07)^t\)
The numeric value of the parameter r is given as follows:
r = 1.07.
(comparing to the format 5,400(r)^y).
The balance of the account after four years is given as follows:
\(A(4) = 4500(1.07)^4 = 5899\)
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What is the slope of y=5/4x-7/4
The answer is:
5/4
Work/explanation:
Let's work out the slope of the line.
The equation is in y = mx + b form where m = slope; b = y intercept.
Similarly, in y=5/4x - 7/4, the slope is 5/4.
Hence, the answer is 5/4.Help please I already chose an answer I'm just not sure my answer is correct
Answer:
x = 4.5
Step-by-step explanation:
The segment joining the midpoints of the two sides of a triangle is half the length of the third side, that is
5x = \(\frac{1}{2}\) × 45 = 22.5 ( divide both sides by 5 )
x = 4.5
14= 17 - 9x. help please
Step-by-step explanation:
9x= 17 - 14
9x= 3
x= 3÷9
x= 1/3
Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around, at each zero. f(x)=2(x 2
+3)(x+1) 2
−3, multiplicity 1 , crosses the x-axis; −1, multiplicity 2 , crosses the x-axis None −1, multiplicity 2 , touches the x-axis and turns around -3, multiplicity 1 , crosses the x-axis; −1, multiplicity 2 , touches the x-axis and turns around. −1, multiplicity 2 , crosses the x-axis
The polynomial function \(\(f(x) = 2(x^2+3)(x+1)^2\)\) has zeros at -3 with multiplicity 1, and -1 with multiplicity 2. The graph of the function crosses the x-axis at -3 and -1.
To find the zeros and their multiplicities, we set \(\(f(x)\)\) equal to zero and solve for \(\(x\).\)
Setting \(\(f(x) = 0\),\) we have:
\(\[2(x^2+3)(x+1)^2 = 0\]\)
Since the product of two factors is zero, at least one of the factors must be zero. Thus, we solve for \(\(x\)\) in each factor separately:
1. \(\(x^2 + 3 = 0\):\)
This equation does not have real solutions since the square of a real number is always non-negative. Therefore, this factor does not contribute any real zeros.
2. \(\(x + 1 = 0\):\)
Solving for \(\(x\), we find \(x = -1\).\) This gives us a zero at -1 with multiplicity 1.
Since the factor \(\((x+1)^2\)\) is squared, the zero -1 has a multiplicity of 2.
Therefore, the zeros for the polynomial function are -3 with multiplicity 1 and -1 with multiplicity 2. The graph of the function crosses the x-axis at both zeros.
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Find the distance between the two points rounding to the nearest tenth! PLEASE HELP ASAP!!! :
Researchers interested in the perception of three-dimensional shapes on computer screens decide to investigate what components of a square figure or cube are necessary for viewers to perceive details of the shape. They vary the stimuli to include: fully rendered cubes, cubes drawn with corners but incomplete sides, and cubes with missing corner information. The viewers are trained on how to detect subtle deformations in the shapes, and then their accuracy rate is measured across the three figure conditions. Accuracy is reported as a percent correct. Four participants are recruited for an intense study during which a large number of trials are required. The trials are presented in different orders for each participant using a random-numbers table to determine unique sequences.
The sample means are provided below:
The researchers are investigating the perception of three-dimensional shapes on computer screens and specifically examining the components of a square figure or cube necessary for viewers to perceive details of the shape. They vary the stimuli to include fully rendered cubes, cubes with incomplete sides, and cubes with missing corner information. Four participants are recruited for an intense study, and their accuracy rates are measured across the three figure conditions. The trials are presented in different orders for each participant using a random-numbers table to determine unique sequences.
In this study, the researchers are interested in understanding how viewers perceive details of three-dimensional shapes on computer screens. They manipulate the stimuli by presenting fully rendered cubes, cubes with incomplete sides, and cubes with missing corner information. By varying these components, the researchers aim to identify which elements are necessary for viewers to accurately perceive the shape.
Four participants are recruited for an intense study, indicating a small sample size. While a larger sample size would generally be preferred for generalizability, intense studies often involve fewer participants due to the time and resource constraints associated with conducting a large number of trials. This approach allows for in-depth analysis of individual participant performance.
The participants are trained on how to detect subtle deformations in the shapes, which suggests that the study aims to assess their ability to perceive and discriminate fine details. After the training, the participants' accuracy rates are measured across the three different figure conditions, likely reported as a percentage of correctly identified shape details.
To minimize potential biases, the trials are presented in different orders for each participant, using a random-numbers table to determine unique sequences. This randomization helps control for order effects, where the order of presenting stimuli can influence participants' responses.
The researchers in this study are investigating the perception of three-dimensional shapes on computer screens. By manipulating the components of square figures or cubes, they aim to determine which elements are necessary for viewers to perceive shape details accurately. The study involves four participants, an intense study design, and measures accuracy rates across different figure conditions. The use of randomization in trial presentation helps mitigate potential order effects.
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given the function f(x)=4-2x: if the domain is -4,0,5, find the range
Answer:
The range is 12, 0, -6
Explanation:
Given the function:
f(x) = 4 - 2x
We want to find the range of this function, given that the domain is:
-4, 0, 5
This can be done by replacing x by each element ot the domain in the given function, find f(x).
For element -4
f(-4) = 4 - 2(-4)
= 4 + 8
= 12
For element 0
f(0) = 4 - 2(0)
= 4 - 0
= 0
For element 5
f(5) = 4 - 2(5)
= 4 - 10
= -6
The range is 12, 0, -6
Find the measure of CDE. The measure of CDE equals a certain # of degrees.
2x-13+3x-8+2x-3+2x-7+3x-1+2x+11+2x+9= (7-2)×180
16x-12=(7-2)×180
(7-2)×180 Work this out on a calculator
And then that answer=16x-12
Then you solve by adding 12 both sides and dividing by 16 both sides to get what x is.
Ashley had 4/ 5 of a spool of yarn. She used 2/5 of it for her project. What fraction of the spool was used for her project? Write your answer in simplest form
Ashley used 8/25 of the spool for her project.
To determine the fraction of the spool that Ashley used for her project, we need to multiply the fraction of the spool she had (4/5) by the fraction she used (2/5):
(4/5) * (2/5) = 8/25
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Simplify.
√36 . √81
The expression √36 . √81 can be simplified as follows:
√36 . √81 = 6 . 9 = 54
Therefore, the simplified form of √36 . √81 is 54.
To simplify the given expression, we can apply the properties of square roots and multiplication.
First, let's simplify each square root individually.
√36 = 6
√81 = 9
Next, we multiply the simplified square roots:
6 . 9 = 54
Hence, the simplified form of √36 . √81 is 54.
In more detail, we can understand the simplification process by considering the properties of square roots.
The square root of a number 'a' is a value 'b' such that b^2 = a. In other words, if we square the square root of a number, we get the original number back.
In this case, we simplify √36 to 6 because 6^2 = 36. Similarly, √81 simplifies to 9 because 9^2 = 81.
Then, we can multiply the simplified square roots: 6 . 9 = 54. Multiplying the numbers 6 and 9 gives us the result of 54.
Therefore, the simplified form of √36 . √81 is indeed 54.
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There are two integers that combine to -19 and their product is 70. Find the two integers, then the SMALLER integer is your answer for this question?
Answer:
-14
Step-by-step explanation:
a + b = -19
(a)(b) = 70
To solve this problem, isolate one variable in one of the two equations and then substitute it in.
So, a + b = -19
-> a = -19 - b
b(-19 - b) = 70
Distribute.
-19b - b^2 = 70
Move all to one side.
b^2 + 19b + 70 = 0
Factor. Find two numbers that multiply to 70, but add to 19.
(b + 5) (b + 14) = 0
Zero product rule.
b = -5, b = -14
Now, substitute the two answers for b back into the original equation for a.
a - 14 = -19
a = -5
a - 5 = -19
a = -14
So, the answers are b = -5, b = -14, a = -5, a = -14. Since you said that the smallest integer is the answer, the answer is -14.
A particle moves along the curve y = 5x^2 – 1 in such a way that the y value is decreasing at the rate of 2 units per second. At what rate is x changing when x = 1?
Decreasing one fifth unit/sec
Increasing one fifth unit/sec
Decreasing one tenth unit/sec
Increasing one tenth unit/sec
Answer:
The correct option is;
Increasing one fifth unit/sec
Step-by-step explanation:
The equation that gives the curve of the particle of the particle is y = 5·x² - 1
The rate of decrease of the y value dy/dt = 2 units per second
We have;
dy/dx = dy/dt × dt/dx
dy/dx = 10·x
dy/dt = 2 units/sec
dt/dx = (dy/dx)/(dy/dt)
dx/dt = dy/dt/(dy/dx) = 2 unit/sec/(10·x)
When x = 1
dx/dt = 2/(10·x) = 2 unit/sec/(10 × 1) = 1/5 unit/sec
dx/dt = 1/5 unit/sec
Therefore, x is increasing one fifth unit/sec.
A student has a container with a volume of 0.5 liter. He estimates the volume to be 0.4 liter. By what percent is the student's estimate off?
Answer:
20
Step-by-step explanation:
0.5-0.4=0.1,0.1/0.5×100= 20
The students's estimation is 80%.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given that a student has a container with a volume of 0.5 liter.
He estimates the volume to be 0.4 liter.
Now to find the percentage of estimation,
estimated volume = correct volume × required percentage / 100
0.4 = 0.5 × required percentage / 100
Required percentage = 0.4 × 100 / 0.5
Required percentage = 0.4 × 100 / 0.5
Required percentage = 80%
Therefore, the students's estimation is 80%.
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What is the solution set for the inequality.
t - 10 ≥ 7
A
{18, 19, 20, 21}
B
{17, 3, 14, 25}
C
{17, 20, 30, 44}
D
{8, 11, 15, 17}
Hope you get the right answer
Step-by-step explanation:
The perimeter of a rectangular park must be no greater than 140 meters, because that is the total length of the materials available for the border. The width of the park cannot exceed 24 meters. What are the possible lengths of the park?
Step-by-step explanation:
the perimeter of a rectangle is
2×length + 2×width
so our inequalities are
2×length + 2×width <= 140 m
length + width <= 70 m
width <= 24 m
let's assume for a moment that width = 24.
and we get
length + 24 <= 70
length <= 46 m
or general
length <= 70 - width
with maximum width (24 m), length <= 46m
with a minimum width (e.g. 1 m), length <= 69
so, overall, 0 m < length < 70 m (I assume width = 0 or length = 0 are not valid).
How many solutions does this system have?
Answer:
One
Step-by-step explanation:
The solution to the system is (1, 5)
Answer:
one
Step-by-step explanation:
Hi can someone help me with this geo question please thanks
Answer:
x = 24 , y = 19
Step-by-step explanation:
(2x + 13) and 47 + 3x are same- side interior angles and sum to 180° , so
2x + 13 + 47 + 3x = 180 , that is
5x + 60 = 180 ( subtract 60 from both sides )
5x = 120 ( divide both sides by 5 )
x = 24
Then 3x = 3 × 24 = 72
5y - 23 and 3x are corresponding angles and are congruent , then
5y - 23 = 72 ( add 23 to both sides )
5y = 95 ( divide both sides by 5 )
y = 19
the hexagonal prism below has a height of 4 units and a volume of 98 units^3 . find the area of one of its bases.
The area of one of the bases of the hexagonal prism is approximately 7.39 units^2.
To solve this problem, we can use the formula for the volume of a hexagonal prism:
V = (3√3/2) * a^2 * h
where V is the volume, a is the length of one side of the hexagonal base, and h is the height of the prism.
We are given that the height of the prism is 4 units and the volume is 98 units^3. Plugging these values into the formula, we can solve for the length of one side of the base:
98 = (3√3/2) * a^2 * 4
a^2 = 98 / (12√3)
a ≈ 2.95
Now that we know the length of one side of the base, we can find the area of the hexagon by using the formula:
A = (3√3/2) * a^2
where A is the area of one of the bases. Plugging in the value we found for a, we get:
A = (3√3/2) * (2.95)^2
A ≈ 7.39
Therefore, the area of one of the bases of the hexagonal prism is approximately 7.39 units^2.
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On a certain hot summer's day, 451 people used the public swimming pool. The daily prices are $1.75 for children and $2.50 for adults. The receipts for admission totaled $1042.75. How many children and how many adults swam at the public pool that day?
Answer:120 children and 388 adults bought tickets for the swimming pool
Step-by-step explanation:
Hannah needs to calculate the cotangent of an angle. She uses the ratio
opposite leg
for her calculation. Did Hannah correctly calculate the cotangent of the angle?
adjacent leg
A
B.
Yes, Hannah correctly calculated the cotangent of the angle.
adjacent leg
No, Hannah should have used the ratio
opposite leg
hypotenuse
No, Hannah should have used the ratio
opposite leg
O c.
D.
No, Hannah should have used the ratio
adjacent leg
hypotenuse
Answer:
B. No, Hannah should have used the ratio \( \frac{adjacent}{opposite} \)
Step-by-step explanation:
✍️The formula for calculating cotangent of an angle is given as:
\( cot = \frac{adjacent}{opposite} \).
The ratio, \( \frac{opposite}{adjacent} \), used by Hannah is the formula for calculating tangent of an angle.
Therefore, Hannah did not calculate the cotangent of the angle correctly.
She should have used, the ratio, \( \frac{adjacent}{opposite} \) instead.
What is the power for the function?
Answer choices:
.5
-2
Answer:
0.5
Step-by-step explanation:
The square root of x can be rewritten as \(x^{0.5}\).
Therefore f(x) can now be written as
f(x)=4\(x^{0.5}\), and so the power of the function is 0.5
The center of a circle is at (2, −3) on a coordinate plane. The edge of the circle goes through the point (2, −7).
What is the circumference of the circle?
The hypotenuse of a right triangle measures 5cm. One leg is 1cm longer than the other.
What quadratic equation in standard form accurately represents the situation?
NOTE: Let x represent the other side Recall: \(a^{2} +b^{2} =c^{2}\)
IS FOR TOMORROW PLEASEE
The quadratic equation that would correctly represent the situation is 2x^2 + 2x - 24 = 0
What is the correct quadratic equation?We know that the quadratic equation can be obtained if we look at the Pythagoras theorem. From the Pythagoras theorem we have the following;
c^2 = a^2 + b^2
Let the hypotenuse be c and the longer side x + 1
We now have;
5^2 = x^2 + (x+ 1)^2
5^2 = x^2 + x^2 + 2x + 1
25 = 2x^2 + 2x + 1
2x^2 + 2x - 24 = 0
The equation is thus; 2x^2 + 2x - 24 = 0
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What is the slope of the line below?
Answer:
A) -4/5
Step-by-step explanation:
( -8, 10) and ( -3, 6)
Slope:
m=(y2-y1)/(x2-x1)
m=(6-10)/(-3+8)
m= (-4)/5
m = -4/5
A group of 30 bikers went on a trip. Some rode bicycles and the others rode “tandems”. (A tandem is a bicycle that is ridden by 2 people at the same time.) If the total number of bicycles and tandems was 23, how many tandems were used?
Answer:
7 tandems used on the trip.
Step-by-step explanation:
Let's use the variables "B" to represent the number of bicycles and "T" to represent the number of tandems.
We know that the total number of bicycles and tandems is 23, so we can write:
B + T = 23
We also know that there were 30 bikers in total, so we can write:
2T + B = 30
(The "2T" is because each tandem has 2 people on it.)
We now have a system of two equations with two variables:
B + T = 23
2T + B = 30
We can solve for one of the variables in terms of the other, and then substitute that expression into the other equation to eliminate one variable. Let's solve for B in the first equation:
B + T = 23
B = 23 - T
Now we can substitute this expression for B into the second equation:
2T + B = 30
2T + (23 - T) = 30
T = 7
So there were 7 tandems used on the trip.
The table represents an exponential function. a 2-column table has 4 rows. the first column is labeled x with entries 1, 2, 3, 4. the second column is labeled y with entries 6, 4, eight-thirds, sixteen-ninths. what is the multiplicative rate of change of the function? one-third two-thirds 2 9
The multiplicative rate of the exponential function is two-third
How to determine the multiplicative rate?The table of values is given as:
x y
1 6
2 4
3 8/3
4 16/9
To determine the multiplicative rate, we simply divide a y value by the previous y value.
Take for instance;
Rate = 4/6
Simplify
Rate = 2/3
Hence, the multiplicative rate of the exponential function is two-third
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Answer:
IT IS B
Step-by-step explanation:
Could you please help me out with , don't copy! unique answer!
What are the characteristics of monopoly? what is price discrimination? Can tou give an example of price discrimination in real world?
Answer:
Monopoly is a market situation in which a single firm produces a good or service that has no close substitutes, and the company is the only seller.
The following are some of the qualities of monopoly:
Characteristics of Monopoly: The following are some of the features of monopoly:
Single Seller: The most important feature of a monopoly is that it has only one seller.
No close substitutes: Another important feature of monopoly is that the commodity has no close substitutes.
No entry: A monopoly industry cannot have any new competitors in the market.
Price Discrimination: Price discrimination is the process of charging various prices for the same product or service to different customers or groups of customers.
In order for price discrimination to be successful, the following conditions must be met: The product must be a luxury. The seller must be a monopoly. The seller must be aware of the various markets' price elasticity.Real-World Examples:
The following are some examples of price discrimination in the real world:
Student Discount: Colleges and universities provide students with discounted tickets, subscriptions, or software licenses based on their student status.
Senior Citizen Discount: Senior citizens are offered discounts on a variety of goods and services, including transportation, health care, and entertainment.
Matinee Discount: Some movie theaters offer discounted tickets for daytime screenings.
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FILL IN THE BLANK. If the original population is ______ _______, then for any sample size n, the sample means will be normally distributed (not just for values of n larger than 30)
If the original population is normally distributed, then for any sample size n, the sample means will be normally distributed (not just for values of n larger than 30).
This concept is derived from the Central Limit Theorem (CLT), which states that regardless of the shape of the original population, as the sample size increases, the distribution of sample means will tend to become normally distributed. However, the CLT usually requires a sample size of at least 30 to approximate normality. When the original population is already normally distributed, the sample means will be normally distributed for any sample size n, even if n is less than 30.
This property is particularly useful in statistical analysis and hypothesis testing, as normality assumptions allow for the application of parametric statistical techniques. In conclusion, if the original population is normally distributed, the distribution of sample means will be normal for any sample size, which simplifies statistical analysis and interpretation.
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