Answer:
19/8
Step-by-step explanation:
2 3/8 can be converted to an improper fraction by multiplying the whole number (2) by the denominator of the fraction (8), then adding the numerator (3), and placing the result over the denominator:
2 3/8 = (2 x 8 + 3) / 8 = 19/8
So, 2 3/8 is equivalent to the improper fraction 19/8.
Hope this helps!
Erica and Amy started biking in the opposite directions at the same time from the same place. Erica biked at a speed of 6 meters per second and Amy biked at a speed of 4 meters per second. How soon were they exactly 1km apart?
Answer:
Since they are moving in opposite directions, this is the same as Amy staying still and Erica biking at 10 meters per second away from her.To travel 1km = 1000m at 10 meters per second, you need 1000/10 = 100
Step-by-step explanation:
2) In a random survey of 500 women, 315 said they would rather be poor and thin than rich and fat; in a random survey of 400 men, 220 said they would rather be poor and thin than rich and fat. Is there sufficient evidence to show that the proportion of women who would rather be poor and thin than rich and fat is greater than the proportion of men who would rather be poor and thin than rich and fat
Answer:
Since the calculated value of Z= 0.242887 is less than Z (0.05) = 1.645 and falls in the critical region we reject the null hypothesis and conclude that there is not sufficient evidence to show that the proportion of women who would rather be poor and thin than rich and fat is greater than the proportion of men who would rather be poor and thin than rich and fat.
Step-by-step explanation:
Here
p1= proportion of women who would rather be poor and thin than rich and fat
p1= 315/500= 0.63
p2= proportion of men who would rather be poor and thin than rich and fat
p2= 220/400= 0.55
1) Formulate the hypothesis as
H0: p1>p2 against the claim Ha: p1 ≤ p2
2) Choose the significance level ∝0.05
3) The test Statistic under H0 , is
Z= p1^ - p2^ / sqrt( pc^qc^( 1/n1 + 1/n2))
pc^= an estimate of the common proportion
pc ^ = n1p1^ + n2p2^/ n1+n2
4) The critical region is Z≤ Z (0.05) = 1.645
5) Calculations
pc^ = 315+ 220/ 500+400= 535/900
pc^= 0.5944
and qc^= 1-0.5944= 0.4055
Thus
Z = 0.63-0.55/ sqrt ( 0.5944*0.4055( 1/500+ 1/400))
Z= 0.08/ sqrt (0.24108 (900/2000))
Z= 0.08/√0.10849
Z= 0.242887
Conclusion :
Since the calculated value of Z= 0.242887 is less than Z (0.05) = 1.645 and falls in the critical region we reject the null hypothesis and conclude that there is not sufficient evidence to show that the proportion of women who would rather be poor and thin than rich and fat is greater than the proportion of men who would rather be poor and thin than rich and fat.
What is the definition of perpendicular lines?
1.two lines that intersect in a way that forms right angles
2.two lines that intersect in a way that cuts both lines in half
3.two lines that intersect in a way that they share more than one common point
4.two lines that intersect in a way that forms two congruent angles
Answer:
Step-by-step explanation:
The correct definition of perpendicular lines is option 1: "Two lines that intersect in a way that forms right angles."
When two lines intersect to form four right angles (90-degree angles), they are said to be perpendicular to each other. The point at which the lines intersect is called the point of intersection.
Therefore, option 1 is the correct definitation of perpendicular lines.
Answer: 1. Two lines that intersect in a way that forms right angles.
Step-by-step explanation:
Hope this helped! :)
Please see my question in the attachment, thanks!
The limit of the function As x → - ∞, f(x) → 2.
What is the limit of a function?The limit of a function is the value the function tends to as the independent variable tends to a given value.
Given the graph of the function above, to find the limit of the function As x → -∞, f(x) →? We proceed as follows
Looking at the graph, we see that f(x) has a horizontal asymptote at y = 2. Now, we see that As x → -∞, f(x) approaches 2.
So, As x → - ∞, f(x) → 2.
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At Pizza Pi, 80% of the pizzas made last week had extra cheese. If 16 pizzas had extra
cheese, how many pizzas in all were made last week?
Answer:
20 pizzas in total
bro now i want pizza
Step-by-step explanation:
16 pizzas = 80%
8 pizzas = 40%
4 pizzas = 20%
Kono Dio Da!!!
Classify each function as a power function, root function, polynomial (state its degree), rational function, algebraic function, trigonometric function, exponential function, or logarithmic function.
(a) y=Ï€x
(b) y=xπ
(c) y=x2(2−x3)
(d) y=tant−cost
(e) y=s1+s
(f) y=x3−1√1+x√3
(a) f(x) = \(log_2(x)\) is a logarithmic function
(b) g(x) = ∜x is a root function
(c) h(x) = \(2x^3/(1 - x^2)\) is a rational function
(d) u(t) = 1 - 1.1t + \(2.54t^2\) is a polynomial of degree 2
(e) v(t) = \(5^t\)is an exponential function
(f) w(θ) = sin θ \(cos^{2}\theta\) is a trigonometric function.
(a) f(x) = \(log_2(x)\) is a logarithmic function. Logarithmic functions have the logarithm of the independent variable as the output. Here, the logarithm base is 2.
(b) g(x) = ∜x is a root function. Root functions have the square root or higher roots of the independent variable as the output. Here, the root is a cube root.
(c) h(x) = \(2x^3/(1 - x^2)\) is a rational function. Rational functions are functions that are expressed as the quotient of two polynomials. Here, the numerator is a cubic polynomial and the denominator is a quadratic polynomial.
(d) u(t) = 1 - 1.1t + \(2.54t^2\) is a polynomial of degree 2. Polynomials are functions that are expressed as a sum of powers of the independent variable, with coefficients. The degree of a polynomial is the highest power of the independent variable.
(e) v(t) = \(5^t\) is an exponential function. Exponential functions have the independent variable as the exponent. Here, the base is 5.
(f) w(θ) = sin θ \(cos^{2}\theta\) is an algebraic function and a trigonometric function. Algebraic functions are functions that can be expressed using arithmetic operations and algebraic expressions. Trigonometric functions are functions that involve the ratios of the sides of a right triangle. Here, the function is a combination of sine and cosine functions.
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The complete question is -
Classify each function as a power function, root function, polynomial (state its degree), rational function, algebraic function, trigonometric function, exponential function, or logarithmic function.
(a) f(x) = \(log_2(x)\)
(b) g(x) = ∜x
(c) h(x) = \(2x^3/(1 - x^2)\)
(d) u(t) = 1 - 1.1t + \(2.54t^2\)
(e) v(t) = \(5^t\)
(f) w(θ) = sin θ \(cos^{2}\theta\)
Lloyd made 3 1/2 pounds of potatoes he added 4 ounces of butter how many 6-ounce servings did Lloyd make
The number of 6-ounce servings Lloyd made is 4
How to determine the number of 6-ounce servings Lloyd made?The given parameters are:
Potatoes = 3 1/2 pounds
Butter = 4 ounces
Convert pounds to ounces
So, we have:
Potatoes = 3 1/2 * 6 ounces
Evaluate the product
Potatoes = 21 ounces
The total ounces is
Total = Potato + Butter
This gives
Total = 21 ounces + 4 ounces
Evaluate the sum
Total = 25 ounces
The number of 6-ounce servings Lloyd made is
Number = 25/6
Evaluate
Number = 4.17
Remove decimal
Number = 4
Hence, the number of 6-ounce servings Lloyd made is 4
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The three steps below were used to find the value of the expression [(-10 + 2) - 1] + (2 + 3). Step 1: ? Step 2: -9 + 2 + 3 Step 3: -7 + 3 Which expression is missing from Step 1? Question 3 options: [-10 + -1 + 2] + (2 + 3) [-8 - 1] + (2 + 3) [-10 + 1] + (2 + 3) [8 + 1] + (2 + 3)
Therefore, the missing expression in Step 1 is [-8 - 1] + (2 + 3).
In order to find the missing expression in Step 1, let's analyze the given steps and the final expression.
Step 1: ?
Step 2: -9 + 2 + 3
Step 3: -7 + 3
To find the missing expression in Step 1, we need to work backwards from Step 3 to Step 1.
In Step 3, the expression "-7 + 3" gives us a result of -4.
In Step 2, the expression "-9 + 2 + 3" gives us a result of -4.
So, the missing expression in Step 1 should also evaluate to -4 when performed correctly.
Let's check the available options:
[-10 + -1 + 2] + (2 + 3) = -11 + 2 + 5 = -4
[-8 - 1] + (2 + 3) = -9 + 5 = -4
[-10 + 1] + (2 + 3) = -9 + 5 = -4
[8 + 1] + (2 + 3) = 9 + 5 = 14
Out of the given options, only option 2, [-8 - 1] + (2 + 3), correctly evaluates to -4. Therefore, the missing expression in Step 1 is [-8 - 1] + (2 + 3).
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The graph and table each show a proportional relationship between the number of miles traveled and the
advertised number of gallons of gas used for the two car models, A and B, respectively. Based on the
graph and table, car A can travel how many times the distance car B can travel when both cars use
1 gallon of gas? Write your answer as a decimal.
Enter your answer in the box
1.25
To answer this question, we need to compare the ratios of miles traveled to gallons of gas used for car A and car B when they both use 1 gallon of gas.
For car A, we can see from the graph that 50 miles are traveled for every 2 gallons of gas used, or in other words, 25 miles are traveled for every 1 gallon of gas used. Therefore, car A can travel 25 times the distance for 1 gallon of gas.
For car B, we can see from the table that 40 miles are traveled for every 2 gallons of gas used, or in other words, 20 miles are traveled for every 1 gallon of gas used. Therefore, car B can travel 20 times the distance for 1 gallon of gas.
To compare the two ratios, we can divide the ratio of miles traveled to gallons of gas used for car A by the ratio for car B:
25/20 = 1.25
Therefore, car A can travel 1.25 times the distance car B can travel when both cars use 1 gallon of gas.
Solve 2x2 + 20x + 8 = 0 by completing the square.
Answer:
x=−5+ 21 ,−5− 21
Step-by-step explanation:
x= 4−20+4= 214−20−4 =21
If h(x)=-2x-10 ,find h(-4)
Answer:
h(-4) = -2
Step-by-step explanation:
h(x)=-2x-10
Let x = -4
h(-4)=-2*-4-10
=8-10
= -2
Answer:
\(\huge \boxed{{-2}}\)
Step-by-step explanation:
\(\sf The \ function \ is \ given:\)
\(h(x)=-2x-10\)
\(\sf To \ find \ h(-4), \ put \ x=-4.\)
\(h(-4)=-2(-4)-10\)
\(h(-4)=8-10\)
\(h(-4)=-2\)
how do I put on 0.54 as a fraction number 2 how do I write 4.18 as a mixed number number 3 how do I write 0.51 as a fraction
Answer:
0.54 as a fraction is 54/100
4.18 as a mixed number is 4 18/100
0.51 as a fraction is 51/100
it would be really cool if you could mark me as brainliest :)
Step-by-step explanation:
Parallelogram Properties - Diagonals
Jun 06, 4:06:26 PM
In parallelogram JKLM if LJ-46 find LN.
J
K
N
M
If LJ is given as 46 units in parallelogram JKLM, we can conclude that LN is equal in length to JK
To find the length of LN in parallelogram JKLM, we can utilize the properties of parallelograms, particularly the diagonals.
In a parallelogram, the diagonals bisect each other. This means that the diagonal LN divides the parallelogram into two congruent triangles, JLN and KLN.
Given that LJ is 46 units, we know that LK, the other half of the diagonal, is also 46 units.
Now, we have a triangle JLN, in which we know LJ (46 units) and LK (46 units). Since JL and LK are congruent sides of a triangle, we can conclude that JLKN is an isosceles trapezoid.
In an isosceles trapezoid, the diagonals are also congruent. Therefore, LN is equal in length to JK.
Hence, LN = JK.
Since we don't have any specific information about the length of JK provided in the question, we cannot determine the exact length of LN without additional information. However, we can say that LN is equal in length to JK based on the properties of parallelograms and isosceles trapezoids.
In summary, if LJ is given as 46 units in parallelogram JKLM, we can conclude that LN is equal in length to JK. However, without knowing the length of JK specifically, we cannot determine the exact length of LN.
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3^4x-1=15
Need help with this log question
Answer:
x=16/81
Step-by-step explanation:
3^4x-1=15
81x-1=15
81x=15+1
81x+16
divide both sides by 81
x=16/81
what is the answer to (-5/6) x (-2 1/2) ?
Answer:
25/12 or 2 1/12
Step-by-step explanation:
Hope this help, work is in the picture :)
A proportional relationship is shown in the table below:
xxx 000 1.31.31, point, 3 2.62.62, point, 6 3.93.93, point, 9 5.25.25, point, 2
yyy 000 111 222 333 444
What is the slope of the line that represents this relationship?
\qquad
1.3
Graph the line that represents this relationship.
m= 46
I know this becuase i just did this on khan :)))))
Question 3 Write a method that solves for x in the quadratic equation. The parameters are a, b, c, and boolean flag that indicates whether it will solve the equation with addition or subtraction in the numerator. 2-4ac ㄨㄧ- 2a Source: Wikipedia The method will return the value of x
On solving the providewd question we can say that, public static double solve(double a, double b, double c, boolean flag )
What is quadratic equation?A quadratic equation is a quadratic polynomial in one variable that looks like this: x = ax2 + bx + c. a 0. This polynomial has at least one solution since it is a second-order polynomial, according to the Fundamental Theorem of Algebra. The answer can actually work or be difficult.
public static double solve(double a, double b, double c, boolean flag)
{ double d = Math.sqrt(b*b - 4*a*c); if(flag)
{ return (-b + d) / (2*a); }
else { return (-b - d) / (2*a); } }
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Find the volume of a sphere with a radius of 12.5cm. (Note: Take the value of π as 3.14.) Round your answer to the nearest thousandth, if necessary.
The volume of the sphere is approximately 8181.510 cm³.
The volume of a sphere is the amount of space that is enclosed within the surface of a sphere.
It is a measure of the three-dimensional space that is contained within the sphere.
The volume of a sphere is used in a variety of fields, such as physics, engineering, and architecture, to calculate the space enclosed by a sphere or a spherical object, such as a planet or a ball.
The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere. Substituting r = 12.5 cm and π = 3.14, we get:
V = (4/3) × 3.14 × (12.5 cm)³
V ≈ 8181.51 cm³
The volume of the sphere is approximately 8181.510 cm³.
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Given that 8 tan = 3 cos
a) Show that the above equation can be rewritten in the form 3 sin2 + 8 sin − 3 = 0
b) Hence solve, for 0 ≤ ≤ 90, the equation 8 tan 2 = 3 cos 2, giving your answers to 2 decimal places.
The only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given Range is θ ≈ 19.47 degrees.
a) We are given the equation 8 tan θ = 3 cos θ.
Dividing both sides of the equation by cos θ, we have:
8 tan θ / cos θ = 3
Using the identity tan θ = sin θ / cos θ, we can substitute it into the equation:
8 (sin θ / cos θ) / cos θ = 3
Simplifying further, we get:
8 sin θ / cos^2 θ = 3
Now, multiplying both sides of the equation by cos^2 θ, we have:
8 sin θ = 3 cos^2 θ
Using the identity cos^2 θ = 1 - sin^2 θ, we can substitute it into the equation:
8 sin θ = 3(1 - sin^2 θ)
Expanding the equation, we get:
8 sin θ = 3 - 3 sin^2 θ
Rearranging the terms, we have:
3 sin^2 θ + 8 sin θ - 3 = 0
Therefore, we have successfully shown that the equation can be rewritten in the form 3 sin^2 θ + 8 sin θ - 3 = 0.
b) Now, let's solve the equation 3 sin^2 θ + 8 sin θ - 3 = 0.
To solve the quadratic equation, we can use factoring, quadratic formula, or other appropriate methods.
In this case, the equation factors as:
(3 sin θ - 1)(sin θ + 3) = 0
Setting each factor equal to zero, we have two equations:
3 sin θ - 1 = 0 or sin θ + 3 = 0
For the first equation, solving for sin θ, we get:
3 sin θ = 1
sin θ = 1/3
Taking the inverse sine (sin^-1) of both sides, we find:
θ = sin^-1(1/3) ≈ 19.47 degrees (to 2 decimal places)
For the second equation, solving for sin θ, we have:
sin θ = -3
Since the range of sine is between -1 and 1, there are no solutions for this equation in the given range (0 ≤ θ ≤ 90 degrees).
Therefore, the only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given range is θ ≈ 19.47 degrees.
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PLease school is almost over HELP 30x+60x=?
Answer:
\(90x\)
Step-by-step explanation:
\(30x+60x=?\)
If you want to solve this easily, you can just remove x and add 30x + 60x.
\(30+60\)
We know that 30 + 60 is 90. So we will add x to 90.
\(90x\)
Now you have your answer!
Hope this helps!
Answer:
90x
Step-by-step explanation:
To solve, add 30+60.
30 + 60 is equal to 90.
Add x and it will be 90x.
That is your answer!
Hope I helped!
can you please help me out with my practice problem
I will assume that that the given line passes through the points
(-4,-9) and (0,-6)
so
Find out the original slope
m=(-6+9)/(0+4)
m=3/4
original slope=3/4Remember that
If two lines are parallel, then their slopes are equal
that means
Parallel slope=3/4The length of a rectangular backyard is represented by 4x + 10, and the width is represented by 2x + 5.
An inground swimming pool with an area of 2x² will be installed tomorrow. Write an expression to
represent the remaining area of the backyard.
(1) 8x² + 40x + 50
(3) 2x² + 6x + 15
(2) 6x² + 40x + 50
(4) 6x² + 50
Answer:
(2) 6x^2+40x +50
Step-by-step explanation:
(4x+10)*(2x+5) = 8x^2 +40+50
minus 2x^2
=6x^2 +40 +50
A radio station claims that the amount of advertising per hour of broadcast time has an average of 13 minutes and a standard deviation equal to 1.2 minutes. You listen to the radio station for 1 hour, at a randomly selected time, and carefully observe that the amount of advertising time is equal to 17 minutes. Calculate the z-score for this amount of advertising time.
Answer:
\(Z = 3.33\)
Step-by-step explanation:
Z-score:
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
\(\mu = 13, \sigma = 1.2\)
You listen to the radio station for 1 hour, at a randomly selected time, and carefully observe that the amount of advertising time is equal to 17 minutes. Calculate the z-score for this amount of advertising time.
We have to find Z when X = 17. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{17 - 13}{1.2}\)
\(Z = 3.33\)
I share wwe smackdown
Answer:
Ok..
Step-by-step explanation:
Answer:
It’s fake
Step-by-step explanation:
What numbers are missing from this pattern 36,2,13,21,?,?,?,?,36,2,13,21
Answer:
36,2,13,21
Step-by-step explanation:
At its simplest, it is a repeating sequence of 4 numbers:
36,2,13,21
So, those are the four missing numbers.
g(x) = x2 − 5x
h(x)= 4x + 4
Find (g ◦ h) (x)
Answer:
(g ◦ h) (x) = 16x² + 12x -4
Step-by-step explanation:
We have
g(x) = x² − 5x
h(x)= 4x + 4
(g ◦ h) (x) = g(h(x))
h(x) = 4x + 4
g(h(x)) = g(4x + 4)
= (4x + 4)² - 5(4x+4) //substitute 4x + 4 wherever there is an s-term in
(4x + 4)² = 16x² + 32x + 16
5(4x + 4) = 20x + 20
(4x + 4)² - 5(4x+4) = 16x² + 32x + 16 -(20x + 20)
= 16x² + 32x + 16 - 20x - 20
= 16x² +(32x - 20x) + (16-20)
= 16x² + 12x -4
Consider the curve given by the equation x2 − y2 = 2x + y + xy − 4. Find the equation
of the tangent line to the curve at the point (1, 1).
The equation of the tangent line at (1,1) is given as follows:
y - 1 = -0.25(x - 1).
How to obtain the equation of the tangent line?The curve for this problem is given as follows:
x² - y² = 2x + y + xy - 4.
Applying implicit differentiation, we obtain the slope of the tangent line, as follows:
2x - 2y(dy/dx) = 2 + (dy/dx) + x(dy/dx) + y
(dy/dx)(1 + x + 2y) = 2x - 2 - y
m = (2x - 2 - y)/(1 + x + 2y).
At x = 1 and y = 1, the slope is given as follows:
m = (2 - 2 - 1)/(1 + 1 + 2)
m = -0.25.
Hence the point-slope equation is given as follows:
y - 1 = -0.25(x - 1).
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Emma bought a salad for $4.75 and a drink for $1.65. She had $18.35 left. How much money did she
have before she bought the salad and drink?
A $11.95
B. $20.00
C$23.10
SD $24.75
5 01 14 Answered
Answer quickly please
must be 4 to 5 stars
Answer:
A) $11.95
Step-by-step explanation:
pls give brainliest! hope this helps you out! ;)
Answer:
She had $24.75 before she bought the salad and drink
The salad and drink is together $6.40 and she had $18.35 left so before she had $24.75
-b-
Note: Figure is not drawn to scale.
If a = 5m, b = 8 m, c = 8 m, and d = 2 m, what is the perimeter of the swimming pool?
OA.
21 m
OB.
32 m
29 m
34 m
OC.
OD.
6 of 10 Answered
Reset
Submit
Session Timer: 78:05
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C
After considering the given data we conclude that the perimeter of the given swimming pool is 23 meters which is Option A.
The perimeter of a rectangle is evaluated by adding up all its sides. For the given case, we possess a rectangle with sides
a = 5m,
b = 8m,
c = 8m and
d = 2m.
Perimeter regarding the swimming pool is evaluated as
a + b + c + d
= 5m + 8m + 8m + 2m
= 23 meters
Hence the option regarding the question which satisfy the perimeter is Option A.
Perimeter the counted measurement regarding the distance around the outside of a two-dimensional shape. In this system the length of the outline or boundary of any two-dimensional geometric shape is defined as perimeter .
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The complete question is
If a = 5m, b = 8 m, c = 8 m, and d = 2 m, what is the perimeter of the swimming pool?
A.23 m
B. 32 m
C.29 m
D.34 m
what is the answer to this?
Answer:
This is the answer:
330550=