what fraction is equal to 0.54 plz help
Answer:
27/50
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Answer:
54/100 simplified is 27/50
What is the slope of the function y = 5x+4y=5x+4?
We may state that the slope of the function y = 5x + 4 is hence 5.
what is function?A function in mathematics is a relationship between two sets of numbers in which each member in the first set (known as the domain) corresponds to a unique element in the second set (called the range). A function, in other words, takes inputs from one set and creates outputs from another. The variable x is frequently used to represent the inputs, and the variable y is used to represent the outputs. An equation or a graph can be used to describe a function. For example, the equation y = 2x + 1 depicts a linear function in which each value of x gives a unique value of y.
y = 5x + 4 is the given function.
This is written in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
When we compare the provided function to the slope-intercept form, we see that the slope is 5.
The slope of the function y = 5x + 4 is hence 5.
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5/6 times 2/7 and simplified
Step-by-step explanation:
⅚ײ/7 = 5/21.
hope this helps you.
Answer: it 5/21
Step-by-step explanation:
this is how i got it
5/6×2/7=
5 × 2/6 × 7= 10/42
= 10 ÷ 2/42 ÷ 2
= 5/21
If 48X^2,64x^4 ,x 36x^2 are in proportion , find the value of x
Answer:
The value of x = 27
Step-by-step explanation:
Given:
48x² : 64x⁴ ::: x : 36x²
Find:
The value of x
Computation:
(a)(d) = (b)(c)
(48x²)(36x²) = (64x⁴)(x)
(1,728x⁴) = (64x⁵)
x = 27
The value of x = 27
Following are the solution to the given expression:
Given:
\(\to 48x^2 : 64x^4 :: x : 36x^2\)
To Find:
x=?
Solution:
\(\to 48x^2 : 64x^4 :: x : 36x^2\)
\(\to \frac{48x^2}{ 64x^4} =\frac{ x}{ 36x^2}\\\\\)
cross multiply:
\(\to \frac{48x^2 \times 36x^2}{ 64x^4} =x\\\\\to x= \frac{48x^2 \times 36x^2}{ 64x^4} \\\\\to x= \frac{48 \times 36}{ 64} \\\\\to x= \frac{6 \times 9}{ 2} \\\\\to x= 3 \times 9\\\\\to x=27\)
Therefore, the answer is "27".
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Please help school is ending soon!
Two days later, Kelly surveyed the same 13 classmates and found that none of them had been given math homework since she last surveyed them. By how much does the mean of Kelly’s second data set change in comparison with the mean of the data set in her original survey? Explain how to determine the change in the means without calculating the mean of either data set.
Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.
Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.
In other words, if the mean of the first data set is x, then the sum of the values in the first data set is 13x (since there are 13 classmates), and the sum of the values in the second data set is also 13x (since none of the values have changed). Therefore, the mean of the second data set will also be x, and the change in the means will be zero.
Find the value of x. Then find the angle measures of the polygon.
x=_
Question 2
Answer:
x=145
Step-by-step explanation:
x+10+x=720-460
Answer:
125°
Step-by-step explanation:
Accumulate every detail given:
720 = 120+100+120+120+ (x+10) + x
720 = 120+100+120+120+2x+10
720=470+2x
Flip the equation to avoid negative equation
470+2x=720
2x=720
x=250/2
x=125
125 Is the final answer
I really need help!!!!! Correct answers only, look at the screenshot
if the individuals in generation iii labeled 1 and 2 were to marry and have children, what is the probability that their first child will have the kidney disease?
The probability that their first child will have kidney disease is 1/8.
What is probability?
The proportion of favorable cases to all possible cases is used to determine how likely an event is to occur.
Here, we have
Both parents must be heterozygous to have a 1/4 chance of having an
affected child. Parent 2 is heterozygous (her father was homozygous recessive, but she has unaffected).
For the child to have the disease, both Parent 1 and Parent 2 would need to be heterozygous
There is a 50% chance of this for Parent 1 and a 100% chance of this for Parent 2 and then, there is a 25% chance that their first child will be affected:
50%× 100% × 25% = 12.5%
1/2 × 1/4 = 1/8
Hence, the probability that their first child will have kidney disease is 1/8.
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what is the answer
9x plus 2 (2x+3)
Step-by-step explanation:
=9x+2(2x+3)
=9x+4x+6
=13x+6 I hope so,
cosθ−sinθ
cosθ+sinθ
=
1−tanθ
1+tanθ
The given trigonometric identity (cosθ − sinθ)/(cosθ + sinθ) = (1 − tanθ)/(1 + tanθ) has been proved.
In the question, we are asked to prove the trigonometric identity (cosθ − sinθ)/(cosθ + sinθ) = (1 − tanθ)/(1 + tanθ).
Going by the left-hand side of the equation, we get:
(cosθ − sinθ)/(cosθ + sinθ)
Dividing the numerator and the denominator by cosθ, we get:
{(cosθ − sinθ)/cosθ}/{(cosθ + sinθ)/cosθ}
= {cosθ/cosθ - sinθ/cosθ}/{cosθ/cosθ + sinθ/cosθ}
= (1 - sinθ/cosθ)(1 + sinθ/cosθ).
Using the identity, tanθ = sinθ/cosθ, we get:
(1 - tanθ)/(1 + tan θ)
= The right-hand side of the equation.
Hence the identity has been proved.
Thus, the given trigonometric identity (cosθ − sinθ)(cosθ + sinθ) = (1 − tanθ)(1 + tanθ) has been proved.
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The provided question is incomplete. The complete question is:
"Prove the trigonometric identity (cosθ − sinθ)/(cosθ + sinθ) = (1 − tanθ)/(1 + tanθ)."
an online travel service offers a package that will save 10 percent. what will your cost be if you buy the package?
Answer:
Step-by-step explanation:
i don't know
which expression is equivalent to f(x)=3x+2
Integrate the ODE
dy/dx = x² √y, 0 < x < 2, y(0) = 1
using Euler's method (Δx = 0, 2) to compute y(2). Obtain analytical solution to the ODE and compare y(2) obtained using Euler's method with that obtained analytically.
we find that the numerical approximation using Euler's method gives y(2) ≈ 1.865, while the analytical solution gives y(2) = 2.5.
Using the formula y(n+1) = y(n) + Δx * f(x(n), y(n)), where f(x, y) = x² √y, we can calculate the values of y at each step. Here's the step-by-step calculation:
Step 1: For x = 0, y = 1 (initial condition).
Step 2: For x = 0.2, y = 1 + 0.2 * (0.2)² * √1 = 1.008.
Step 3: For x = 0.4, y = 1.008 + 0.2 * (0.4)² * √1.008 = 1.024.
Step 4: For x = 0.6, y = 1.024 + 0.2 * (0.6)² * √1.024 = 1.052.
Step 5: For x = 0.8, y = 1.052 + 0.2 * (0.8)² * √1.052 = 1.094.
Step 6: For x = 1.0, y = 1.094 + 0.2 * (1.0)² * √1.094 = 1.155.
Step 7: For x = 1.2, y = 1.155 + 0.2 * (1.2)² * √1.155 = 1.238.
Step 8: For x = 1.4, y = 1.238 + 0.2 * (1.4)² * √1.238 = 1.346.
Step 9: For x = 1.6, y = 1.346 + 0.2 * (1.6)² * √1.346 = 1.483.
Step 10: For x = 1.8, y = 1.483 + 0.2 * (1.8)² * √1.483 = 1.654.
Step 11: For x = 2.0, y = 1.654 + 0.2 * (2.0)² * √1.654 = 1.865.
Therefore, using Euler's method with a step size of Δx = 0.2, we approximate y(2) to be 1.865.
To obtain the analytical solution to the ODE, we can separate variables and integrate both sides:
∫(1/√y) dy = ∫x² dx
Integrating both sides gives:
2√y = (1/3)x³ + C
Solving for y:
y = (1/4)(x³ + C)²
Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 to find the value of C:
1 = (1/4)(0³ + C)²
1 = (1/4)C²
4 = C²
C = ±2
Since C can be either 2 or -2, the general solution to the ODE is:
y = (1/4)(x³ + 2)² or y = (1/4)(x³ - 2)²
Now, let's evaluate y(2) using the analytical solution:
y(2) = (1/4)(2³ + 2)² = (1/4)(8 + 2)² = (1/4)(10)² = 2.5
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15 Here is a list of ingredients for making 6 pancakes. Ingredients for 6 pancakes 100 g plain flour 300 ml milk 2 eggs 1 tablespoon cooking oil. Jenny wants to make 15 pancakes. Work out how much of each of the ingredients she needs.
plain flour:
milk:
eggs:
cooking oil:
Answer:
flour=250g
milk=750ml
eggs=5
cooking oil=2.5 tablespoon
Express in simplest form:
10yi² - 9x
Answer:
\(-9x-10y\)
Step-by-step explanation:
\(10yi^2-9x \\ \\ =10y(-1)-9x \\ \\ =-9x-10y\)
Solve the following system of equations.
=
5x + 3y = -3
2x – 3y = 24
X=
Y=
Answer:
x = 3 and y = -6
Step-by-step explanation:
Use the elimination method to get rid of one of the variables.
Find the value of one variable.
Find the value of the remaining variables using substitution.
Clearly state the final answer.
Check your answer by substituting both values into either of the original equations.
There are 10 cards placed face down on a table. Four of the cards have stars on them and the other 6 are blank. You win if you draw a card with a star. How can the game be made fair? The game is already fair. Add 2 cards with stars. Add a star to 1 of the blank cards. Take away 2 blank cards. win if you draw a card with a star. How can the game be made fair?
Answer:
In the original game, the probability of winning is 4/10 or 2/5. To make the game fair, we want to adjust the number of star cards and blank cards so that the probability of winning is 1/2 or 5/10.
Option 1: Add 2 cards with stars.
If we add 2 cards with stars, we will have a total of 12 cards, 6 of which will have stars. The probability of winning will be 6/12 or 1/2, making the game fair.
Option 2: Add a star to 1 of the blank cards.
If we add a star to 1 of the blank cards, we will have a total of 11 cards, 5 of which will have stars. The probability of winning will be 5/11, which is not exactly 1/2 but is very close. This option is a good approximation of a fair game, but not perfect.
Option 3: Take away 2 blank cards.
If we take away 2 blank cards, we will have a total of 8 cards, 4 of which will have stars. The probability of winning will be 4/8 or 1/2, making the game fair.
Therefore, options 1 and 3 will make the game fair, while option 2 is a good approximation of a fair game.
In 1 and 2, the given lengths are two sides of a right triangle. All three side lengths of the triangle are integers and together form a Pythagorean triple. Find the length of the third side and tell whether it is a leg or the hypotenuse.
1) 56 and 65
2) 20 and 48
A random variable Y follows a binomial random distribution with parameters n = 17 and p = 0.9.
Find P(Y > 14).
0.762
0.917
0.482
0.167
The correct answer is 0.167. Given that a random variable Y follows a binomial distribution with n = 17 and p = 0.9, the probability of P(Y > 14) is to be found. Step-by-step
We know that a random variable Y that follows a binomial distribution can be written as Y ~ B(n,p).The probability mass function of binomial distribution is given by: P(Y=k) = n Ck pk q^(n-k)where, n is the number of trials is the number of successful trialsp is the probability of success q = (1-p) is the probability of failure Given n=17 and p=0.9. Probability of getting more than 14 success out of 17 is: P(Y > 14) = P(Y=15) + P(Y=16) + P(Y=17)P(Y=k) = n Ck pk q^(n-k)Now we can calculate P(Y > 14) as follows:
P(Y > 14) = P(Y=15) + P(Y=16) + P(Y=17)= (17C15)(0.9)^15(0.1)^2 + (17C16)(0.9)^16(0.1)^1 + (17C17)(0.9)^17(0.1)^0=0.167
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ten more than two times a number is fourteen more than negative four times a number. Find the number
Answer:
4/6 or as a decimal 0.666
Step-by-step explanation:
Convert to numbers and letters. 10 + 2n = -4n + 14
Move the like terms to their side: 6n = 4
Divide by 6: n = 4/6 or as a decimal 0.6666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666
a postal worker counts the number of complaint letters received by the united states postal service in a given day. identify the type of data collected.
When a postal worker counts the number of complaint letters received by the united states postal service in a given day, the type of data collected is quantitative.
How to explain the dataQuantitative data is data that can be measured and expressed in numbers. In this case, the number of complaint letters received by the United States Postal Service in a given day can be measured and expressed as a number.
Qualitative data, on the other hand, is data that cannot be measured or expressed in numbers. For example, the contents of the complaint letters would be qualitative data.
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Find the missing measurements.
The missing angle measurements are given as follows:
α = 73.3º, θ = 16.7º.
What are the trigonometric ratios?The three trigonometric ratios are defined as follows:
Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the adjacent side.For angle α, we have that 3 is the adjacent side length and 10 is the opposite side length, hence it's measure is given as follows:
tan(α) = 10/3
α = arctan(10/3)
α = 73.3º.
Angle θ is complementary to angle α, as we have a right triangle, hence:
θ = 90 - 73.3
θ = 16.7º.
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Determine the period.acellus
The calculated period of the function is 20
How to determine the period of the functionFrom the question, we have the following parameters that can be used in our computation:
The graph
By definition, the period of the function is calculated as
Period = Difference between cycles or the length of one complete cycle
Using the above as a guide, we have the following:
Period = 26 - 6
Evaluate
Period = 20
Hence, the period of the function is 20
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Two angles that are located between two coplanar lines on the same side of the transversal.
Convert 3pi/4 to degrees.
Answer:
135 degrees
Step-by-step explanation:
besides the 90° angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13? round to the nearest degree. 18° and 39° 23° and 67° 43° and 47° 65° and 25°
The other two angle measures of a right triangle with side lengths 5, 12, and 13 can be found using trigonometric ratios. Let's label the sides of the triangle as follows:
- The side opposite the angle we are looking for is 5.
- The side adjacent to the angle we are looking for is 12.
- The hypotenuse is 13.
To find the first angle, we will use the inverse tangent function (tan^(-1)). The formula is:
Angle = tan^(-1)(opposite/adjacent)
Plugging in the values, we get:
Angle = tan^(-1)(5/12)
Using a calculator, we find this angle to be approximately 22.6 degrees (rounded to the nearest degree).
To find the second angle, we will use the fact that the sum of the angles in a triangle is 180 degrees. Therefore, the second angle can be found by subtracting the right angle (90 degrees) and the first angle from 180 degrees.
Second angle = 180 - 90 - 22.6
Calculating this, we find the second angle to be approximately 67.4 degrees (rounded to the nearest degree).
Therefore, the other two angle measures of the right triangle are approximately 23 degrees and 67 degrees.
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Hurry show your work
Answer: \(\huge\boxed{\boxed{15}}\)
Step-by-step explanation:
Given expression
\(\large\boxed{\frac{12[30 - (9+4^2)]}{|10|-|-6| } }\)
Simplify the exponents
\(\large\boxed{=\frac{12[30 - (9+16)]}{|10|-|-6| } }\)
Simplify values in the parenthesis
\(\large\boxed{=\frac{12[30 - 25]}{|10|-|-6| } }\)
\(\large\boxed{=\frac{12[5]}{|10|-|-6| } }\)
Simplify absolute values (all positive)
\(\large\boxed{=\frac{12[5]}{10-6 } }\)
\(\large\boxed{=\frac{12[5]}{4 } }\)
Simplify by division
\(\large\boxed{=3~[5]}\)
Simplify by multiplication
\(\huge\boxed{\boxed{=15}}\)
Hope this helps!! :)
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Food Drivers, a meal delivery service, charges a $4 delivery fee plus $0.25 per mile. Totally Takeout charges a $3.25 delivery fee plus $0.35 per mile.
Both services would charge the same amount at 7.5 miles
How to determine when they both charge the same?From the question, the parameters are:
Food Drivers
Charges = $4
Delivery = $0.25
Totally Take-out
Charges = $3.25
Delivery = $0.35
The linear equation for both companies can be represented as
y = Charges * x + Delivery
So, we have the following equations:
Food drivers: f(x) = 4 + 0.25*x
Totally take-out: g(x) = 3.25 + 0.35*x
Both services charge the same if:
g(x) = f(x)
So we need to solve the linear equation:
4 + 0.25*x = 3.25 + 0.35*x
Collect the like terms
4 - 3.25 = 0.35*x - 0.25*x
Evaluate the like terms
0.75 = 0.10*x
Divide both sides by 0.10
x = 7.5
Hence, the charges are the same for 7.5 miles,
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Complete question
Food Drivers, a meal delivery service, charges a $4 delivery fee plus $0.25 per mile. Totally Takeout charges a $3.25 delivery fee plus $0.35 per mile. Write an equation to find the number of miles m for which the delivery services would charge the same amount.
Does anyone know this???
Answer:
Decimal: 9.5
Improper Fraction: 19/2
Percent: 950%
Rounded: 10
Step-by-step explanation:
Can I be brainliest? TYSMM
Which expression is equivalent to 7b+4b- 16?
2b
4b
10b
12b
Answer:
10b
Step-by-step explanation: