a pizza is cut into pieces of various sizes. if adam eats one piece measuring 35 degrees and another measuring 25 degrees, how much of the pizza has he eaten?
Answer:
So Adam has eaten 1/6 of the pizza. :) ;)
Step-by-step explanation:
Assuming the pizza is cut into 8 equal pieces (which would each be 45 degrees of the total 360 degrees of the pizza), we can calculate how much of the pizza Adam has eaten with the given information.
First, we add up the angles of the two pieces Adam has eaten:
35 degrees + 25 degrees = 60 degrees
This means that Adam has eaten 60 degrees out of the total 360 degrees of the pizza. To convert this to a fraction, we divide 60 by 360:
60 / 360 = 1/6
So Adam has eaten 1/6 of the pizza.
tnx.. brainiest please...tnx
Simplifying the fraction by dividing both the numerator and denominator by 7: 7/42 = (1 × 7)/(6 × 7) = 1/6Hence, Adam has eaten 1/6 or 7/42 of the pizza.
Let's begin with the solution by calculating the fraction of the pizza that has been consumed:
Pizza's central angle = 360°
The central angle of Adam’s first piece = 35°
The central angle of Adam’s second piece = 25°
The total central angle of Adam's pizza pieces = 35° + 25° = 60°
The fraction of pizza was eaten by Adam = (Total central angle of Adam's pizza pieces)/(Central angle of one whole pizza)Fraction of pizza eaten by Adam = 60/360 = 1/6So,
Adam has eaten 1/6 of the pizza. Now, we can represent 1/6 as a fraction in which the numerator and denominator have the same value.
We do this by multiplying the numerator and denominator of the fraction by 7/7.
Thus, we get:1/6 = (1 × 7)/(6 × 7) = 7/42Therefore,
Adam has eaten 7/42 of the pizza.
Simplifying the fraction by dividing both the numerator and denominator by 7:7/42 = (1 × 7)/(6 × 7) = 1/6Hence, Adam has eaten 1/6 or 7/42 of the pizza.
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The picture is above I’ll mark as brainliest.
Answer:
area=l×b
24=6×b
or,24=6b
or, 24/6=b
or,4=b
therefore,b=4..
width =4
Answer:
4 in
Step-by-step explanation:
Let x be the width of the triangle
we know that the area of the rectangle above is the product of the length and the width
\(6 . x = 24\\\)
divide both sides by 6
\(6x/6 = 24/6 \\\\x = 4\)
the width is 4 inches
a regression was run to determine if there is a relationship betweenhours of tv watched per day (x) and number of situps a person can do (y).
The regression analysis examines the relationship between hours of TV watched per day (x) and the number of situps a person can do (y) to determine if a relationship exists.
The regression analysis was conducted to investigate the potential relationship between the number of hours of TV watched per day (x) and the number of situps a person can do (y). Regression analysis is a statistical technique used to examine the association between variables and determine the nature and strength of their relationship.
In this case, the regression analysis would have yielded an equation that represents the linear relationship between the variables. The equation could be in the form of y = mx + b, where "m" represents the slope of the line (indicating the change in y for each unit change in x) and "b" represents the y-intercept (the value of y when x is equal to zero). The coefficients obtained from the regression analysis provide information about the direction and magnitude of the relationship between the variables.
The analysis aims to determine whether there is a statistically significant relationship between the hours of TV watched per day and the number of situps a person can do. The regression results, including the coefficients, significance levels, and measures of goodness-of-fit, would help assess the strength and significance of the relationship between the variables.
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The farmer changed their mind and wants to make a square field that encloses exactly 2km2 of area. without a calculator, how would they compute the length of the required fence, to arbitrary precision?
The length of the required fence to make a square field that encloses = 5.66 km
For given question,
A farmer wants to make a square field that encloses exactly 2km² of area.
Let 'm' be the side length of the square field.
so, the area of the square field would be,
⇒ A = m²
⇒ 2 = m²
⇒ m = √2 km
We need to compute the length of the required fence.
The length of the required fence would be,
= perimeter of the square field
= 4 × m
= 4 × √2
= 5.66 km
Therefore, the length of the required fence to make a square field that encloses = 5.66 km
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Convert 0.0045 to a percent.
Select one:
0.045%
0.45%
4.5%
45%
Answer: 0.045%
Step-by-step explanation:
The sampling distribution of differences between means approximates a normal curve whose _____is zero.
The sampling distribution of difference between means approximates a normal curve whose mean is zero.
The sampling distribution means the probability distribution based on the large number of samples of size n from the given population
Mean is the average of the given numbers and it is calculated by dividing the sum of observation by the number of observation. Here the term observation represents the given data.
Here they used the normal curve, sot its mean value is zero
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given the function f(x) = -2(x+4)+5 which of the following is the graphical representation
Answer:
The solution of the equation is f(x)=-2x+3. Go into desmos graphing calculator and there is your answer.
Step-by-step explanation:
Hope this helps!
The graphical representation of f(x) = - 2(x + 4) + 5 is plotted. The slope of the line is -2 and y - intercept is -3.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
where -
m is the slope of line
c is the y - intercept
Given is a function → f(x) = - 2(x + 4) + 5
In order to plot the graph of this function, we will simplify the expression.
f(x) = - 2(x + 4) + 5
f(x) = -2x - 8 + 5
f(x) = -2x - 3
f(x) = (-2)x + (-3)
Now, we can plot this function on graph. Its slope will be -2 and y - intercept will be -3. Refer to the graph attached.
Therefore, the graphical representation of f(x) = - 2(x + 4) + 5 is plotted. The slope of the line is -2 and y - intercept is -3.
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Write the equation of the line with the given slope and y-intercept.
slope: 3
y-intercept: -6
Answer:
y=3x-6
Step-by-step explanation:
y=mx+B
y replaces the b
the slope replaces the m
How many four-digit integers contain only the digits 1, 2, 3, 4, and 5, with the property that no two consecutive digits are the same?
Answer:
120
Step-by-step explanation:
we solve this question by using permutation because the order matters
nPr
5P4 = 120
Evaluate the following by using cylindrical coordinates. W (x2 + y2 + z2)−1/2 dx dy dz, where W is the region determined by the conditions 1 5 ≤ z ≤ 1 and x2 + y2 + z2 ≤ 1
To evaluate the given integral using cylindrical coordinates, we need to first convert the given cartesian coordinates into cylindrical coordinates. The conversion formulas are: x = rcosθ, y = rsinθ, and z = z. Substituting these into the given integral, we get:
∫∫∫ W (r^2cos^2θ + r^2sin^2θ + z^2)−1/2 r dr dθ dz
Simplifying the integrand, we get:
∫∫∫ W (r^2 + z^2)−1/2 r dr dθ dz
Now, we need to determine the limits of integration in cylindrical coordinates. The given conditions are 1/5 ≤ z ≤ 1 and x^2 + y^2 + z^2 ≤ 1. Converting these into cylindrical coordinates, we get:
1/5 ≤ z ≤ 1 and r^2 + z^2 ≤ 1
The limits of integration for z are 1/5 and 1. For r, we can solve for r in the second condition to get:
r^2 ≤ 1 - z^2
r ≤ √(1 - z^2)
So the limits of integration for r are 0 and √(1 - z^2). Finally, the limits of integration for θ are 0 and 2π, since we are integrating over the entire circle. Substituting these limits into the integral, we get:
∫_0^2π ∫_(1/5)^1 ∫_0^√(1-z^2) (r^2 + z^2)−1/2 r dr dθ dz
Evaluating this integral using the standard techniques of integration, we get the final answer of:
(2π/3)(1 - (1/5)^3)^(3/2)
So the final answer is (2π/3)(1 - (1/5)^3)^(3/2).
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x2 + 11x + 24
Factor the expression
Answer:
(x + 8)(x + 3)
Step-by-step explanation:
Given
x² + 11x + 24
Consider the factors of the constant term (+ 24) which sum to give the coefficient of the x- term (+ 11)
The factors are + 8 and + 3 , since
8 × 3 = + 24 and 8 + 3 = + 11 , then
x² + 11x + 24 = (x + 8)(x + 3) ← in factored form
Helpppp!! which one is true
Answer:
Option C.J'K'L'M' will still be a rectangle, angles are preserved opposites sides remain equal in lengths and parallel.
Step-by-step explanation:
hope it helps...
have a great day!!
1/4+14 in the simplest form
Answer:
4 2/3
Step-by-step explanation:
14÷3=4R2
Therefore:
143=4 2/3
Answer:
The simplest form of 4/14 is 2/7.
Step-by-step explanation:
2/7 is your answer
Find the linear approximation l(x) to y = f(x) near x = a for the function. f(x) = sin(x), a = 2
The linear approximation for the expression indicated as per the attached question is given by:
\(L\left ( x \right );\)
\(L\left ( x \right )=f\left ( a \right )+f{}'\left ( a \right )\left ( x-a \right )\).
What is the justification for the above answer?\(f\left ( x \right )=\sin ^{2}x,\, \, a=2\pi\)
\(f\left ( 2\pi \right )=\sin ^{2}2\pi =0\)
\(f{}'\left ( x \right )=\frac{\mathrm{d} }{\mathrm{d} x}\left [\sin ^{2}x \right ]\)
\(=2\sin x\times \frac{\mathrm{d} }{\mathrm{d} x}\left [\sin x \right ]\)
\(=2\sin x\times \cos x\)
\(=\sin 2x\)
\(f{}'\left ( 2\pi \right )=\sin \left (2\times 2\pi \right ) =0\)
\(L\left ( x \right )=f\left ( 2\pi \right )+f{}'\left ( 2\pi \right )\left ( x-2\pi \right )\)
\(=0+0\left ( x-2\pi \right )\)
= 0
Step 2 : \(f\left ( x \right )=x+x^{4},\, \, a=0\)
f (0) = - + 0⁴ = 0
\(f{}'\left ( x \right )=\frac{\mathrm{d} }{\mathrm{d} x}\left [x+x^{4} \right ]\)
\(=\frac{\mathrm{d} x}{\mathrm{d} x}+\frac{\mathrm{d} }{\mathrm{d} x}\left [x^{4} \right ]\)
= 1 + 4x³
f' (0) = 1 + 4 x 0³
= 1
L (x) = f(0) + f' (0) (x-0)
= 0 + 1 * x
= x
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Solve for x, rounding to the nearest hundredth.
2^4x = 36
Answer:
5/4
Step-by-step explanation:
36 is the 5tf power of 2 so we can rewrite the equation as
\( {2}^{4x} = {2}^{5} \)
Since the expressions has same base the powers must be equal to
4x = 5 and x = 5/4
Eleven students are competing in an art contest. In how many different ways can the students finish first second and third
The best way to solve this problem is to imagine the situation as follows: Suppose that each position (first, second and third) is a numbered box. (first is box number one, and so on).
Now, imagine that each student is a ball that is numbered from 1 up to 11.
The situation translates to calculate in how many different ways we can put a ball in each box, without putting 2 balls in each box. We have the following
To solve this, we will use the multiplication principle. This principle relays on multiplying the number of possibilites for each box. Consider the case in which we will fill the box number 1. We can choose any of the numbers, so we have 11 posibilites. Now, suppose that we chose one number for box 1, and now we want to fill box 2. Then, we will have 10 possibilites only, since we already picked one. In the same manner, to fill the third box we have 9 possibilities. So the total number of possibilites is the product of this three numbers. That is
\(11\cdot10\cdot9\text{ = 990}\)Part 1: - What is the end-of-year wealth if Jane Christine receives a stated annual interest rate of 24% compounded monthly on a $1 investment? - Harry DeAngelo is investing $5,000 at a nominal interest rate of 12%, compounded quarterly, for five years. What is his wealth at the end of five years? - Linda Defond invested $1,000 at a continuously compounded rate of 10% for two year. What is the value of her investment at the end of two years?
Answer:
$1.27
$9030.56
$2,210.34
Step-by-step explanation:
The formula for calculating future value:
FV = P (1 + r/n)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
1. 1( 1 + 0.24 /12)^12 = $1.27
2. 5000 ( 1 + 0.12 /4)^( 5 x 4) = $9030.56
the formula for calculating future value when there is continuous compounding is : A x e^r x N
A= amount e = 2.7182818 N = number of years r = interest rate
3. 1000 x e^0.1 x 2 = $2,210.34
Why does the narrator state that taking the road less traveled has made all the difference?
Answer:
See below
Step-by-step explanation:
The phrase itself is a famous few lines extracted from "The Road Not Taken" by poet Robert Frost. The statement "taking the road less traveled" means that someone is acting independently, freeing themselves from the conformity of others (who choose to take 'the road more often traveled.'), generally making their own choices, and perhaps leaving a new trail that will become the road more often traveled
Suppose that a system of two equations with eight unknowns is in echelon form. How many leading variables are there
in a system of two equations with eight unknowns in echelon form, the maximum number of leading variables is 2.
In echelon form, the system of equations has undergone row operations to bring it into a triangular form. In this form, the leading variables are the variables associated with the non-zero entries in the leftmost column of each row. These leading variables typically correspond to the pivot positions in the matrix.
Since the system of equations is in echelon form, each row either has a leading variable or consists entirely of zeros. The number of leading variables corresponds to the number of non-zero rows in the echelon form.
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Simplify m7m-4.
Please! ASAP!
Answer:
A. M^3
Step-by-step explanation:
Answer:
\(m^3\)
Step-by-step explanation:
We can subtract the exponent 4 from the exponent 7.
Therefore,
\(m^{7-4}\) is the answer
Then we simplify:
\(m^3\) is our final answer.
Hope this helped!
I need help with Question B and C, please help me!! I need it by 12 AM!!
Answer:
B. Yes.
C. Yes.
Step-by-step explanation:
B. In this, it is saying basically is "2b + b = 3b." Well yes, because 2b + b = 3b. So 3b = 3b? Yes.
C. So same thing. 2b + b = 3b. 3b = 3b. they are equivalent.
2. What are the values where f(t)=0f(t)=0 (also known as the x intercepts) and what do they mean in the context of the dolphin jumping?
Answer:
1. When f(t) = 0:
t = 5.2, 15.2
2. The x-intercepts (5.2, 15.2) mean that when 5.2 or 15.2 seconds have elapsed, the dolphin is at 0 feet, or the surface of the water.
8) Choose the correct answers using the information in the box below. Mr. Silverstone invested some money in 3 different investment products. The investment was as follows: a. The interest rate of the annuity was 4%. b. The interest rate of the annuity was 6%. c. The interest rate of the bond was 5%. d. The interest earned from all three investments together was $950. Which linear equation shows interest earned from each investment if the total was $950 ? a+b+c=950 0.04a+0.06b+0.05c=9.50 0.04a+0.06b+0.05c=950 4a+6b+5c=950
Given information is as follows:Mr. Silverstone invested some amount of money in 3 different investment products. We need to determine the linear equation that represents the interest earned from each investment if the total was $950.
To solve this problem, we will write the equation representing the sum of all interest as per the given interest rates for all three investments.
Let the amount invested in annuity with 4% interest be 'a', the amount invested in annuity with 6% interest be 'b' and the amount invested in bond with 5% interest be 'c'. The linear equation that shows interest earned from each investment if the total was $950 is given by : 0.04a + 0.06b + 0.05c = $950
We need to determine the linear equation that represents the interest earned from each investment if the total was $950.Let the amount invested in annuity with 4% interest be 'a', the amount invested in annuity with 6% interest be 'b' and the amount invested in bond with 5% interest be 'c'. The total interest earned from all the investments is given as $950. To form an equation based on given information, we need to sum up the interest earned from all the investments as per the given interest rates.
The linear equation that shows interest earned from each investment if the total was $950 is given by: 0.04a + 0.06b + 0.05c = $950
The linear equation that represents the interest earned from each investment if the total was $950 is 0.04a + 0.06b + 0.05c = $950.
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Please answer math question
Answer:
y = (-4/3)x - 10
Step-by-step explanation:
m = -4/3 and we are given the point (-3,-6)
Given the linear equation as y = mx + b
now solve for b
-6 = (-4/3)(-3) + b
-6 = 4 + b
b = -10
Now we have the final equation as
y = (-4/3)x - 10
Triangle ABC is translated 4 units to the right and 3 units down.
What are the coordinates of the new triangle?
Responses
(−2,3),(3,1),(−2,1)
( − 2 , 3 ) , ( 3 , 1 ) , ( − 2 , 1 )
(−2,0),(3,−2),(−2,−2)
( − 2 , 0 ) , ( 3 , − 2 ) , ( − 2 , − 2 )
(0,−2),(−2,3),(2,−2)
( 0 , − 2 ) , ( − 2 , 3 ) , ( 2 , − 2 )
(−6,0),(−6,−2),(−1,−2)
Hence, the coordinates of the new triangle are \(A(2,0),B(7,-2),C(2,-2)\).
What is the coordinates?
A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes. Usually represented by \((x,y)\) the x-value and y-value.
Here given coordinates are
\((-2,3),(3,1),(-2,1)\\\\(-2,0),(3,-2),(-2,-2)\\\\( - 2 , 0 ) , ( 3 , - 2 ) , ( - 2 , -2 )\)
Suppose \(a\) units on the horizontal and \(b\) units on the vertical. Then, the new coordinate become
\(A(x,y)=A(x+a,y+b)\)
As per the question triangle \(ABC\) is translated \(4\) units to the right and \(-3\)units down.
So, \(a=4,b=-3\) and the coordinates are
\(A(-2,3),B(3,1),C(-2,1)\\\\\)
Then,
\(A(-2+a,3+b)=A(-2+4,3-3)=A(2,0)\\\\B(3+a,1+b)=B(3+4,1-3)=B(7,-2)\\\\C(-2+a,1+b)=C(-2+4,1-3)=C(2,-2)\)
Hence, the coordinates of the new triangle are \(A(2,0),B(7,-2),C(2,-2)\).
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14. Find the point(s) of intersection of the graphs of the equations: x−1x2−y=1 3. Find the equation of the line which passes through the point (9,−1)& is perpendicular to the line 4x−5y=2. Write your answer in slope intercept form.
14. The points of the intersection of the graphs of the given equations are (1, 0) and (0, -1).
3. The equation of the line passing through the point (9, -1) and perpendicular to the line 4x - 5y = 2 is y = (-5/4)x + (41/4) in slope-intercept form.
14. The equations are given as follows:
x−1 =y and x²−y =1
In the graphs of the given equations, we can see that the points of the intersection are (1, 0) and (0, -1).
3. First, let's rearrange the equation 4x - 5y = 2 into slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.
4x - 5y = 2
-5y = -4x + 2
y = (4/5)x - 2/5
Here, the slope of the given line is 4/5.
Since the line we are looking for is perpendicular to this line, the slope of the new line will be the negative reciprocal of 4/5.
The negative reciprocal of 4/5 is -5/4.
Now, we can use the point-slope form of a linear equation to find the equation of the line passing through the point (9, -1) with a slope of -5/4:
Substituting the values to get
y - (-1) = (-5/4)(x - 9)
y + 1 = (-5/4)(x - 9)
y + 1 = (-5/4)x + (45/4)
Bringing the constant terms to the other side:
y = (-5/4)x + (45/4) - 1
y = (-5/4)x + (45/4) - (4/4)
y = (-5/4)x + (41/4)
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The complete question is as follows:
14. Find the point(s) of the intersection of the graphs of the equations:
x−1 =y and x²−y =1
3. Find the equation of the line which passes through the point (9,−1)& is perpendicular to the line 4x−5y=2. Write your answer in slope-intercept form.
The ratio 3 : 4 has 7 parts.
How many parts does the ratio 3 : 5 have?
Answer:
I think it would be 8.
3+4=7 so
3+5=8
Answer:
ratio 3 : 8 has a total of 3 + 8 = 11 parts.
Step-by-step explanation:
Wow it got deleted huh
in an analysis testing differences between an experimental and a control group on the dependent variable, a p-value of 0.07 means there is a
A control group on the dependent variable, P-value is higher than the usual cutoff of 0.05 for rejecting the null hypothesis that there is no difference between the groups, this is frequently regarded as evidence that the difference between the groups is not statistically significant.
In an analysis testing difference between an experimental and a control group on the dependent variable, a p-value of 0.07 means that there is a 7% chance of obtaining a difference as large or larger than the observed difference between the two groups, assuming that there is no true difference between the groups in the population.
Interpreted as evidence that the difference between the groups is not statistically significant, since the p-value is greater than the conventional threshold of 0.05 for rejecting the null hypothesis of no difference between the groups.
Statistical significance does not necessarily imply practical significance, and there may still be a meaningful difference between the groups that is not detected by the statistical test.
Additionally, the interpretation of a p-value depends on the study design, sample size, and other factors, and should be considered in conjunction with other information about the study.
True difference between the groups in the population, a p-value of 0.07 indicates that there is a 7% chance of finding a difference as large or larger than the observed difference between the two groups in an analysis testing the difference between an experimental and a control group on the dependent variable.
P-value is higher than the usual cutoff of 0.05 for rejecting the null hypothesis that there is no difference between the groups, this is frequently regarded as evidence that the difference between the groups is not statistically significant.
It's crucial to remember that statistical significance does not always imply practical relevance.
There could still be a significant difference between the groups that is not shown by statistical analysis.
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please help me with this #63
Classify each statement as true or false. 1. Every polygon is similar to itself. 2. All triangles are similar. 3. All rectangles are similar. 4. All squares are similar. S. If two polygons are each similar to a third polygon, then the two polygons are similar to each other. The perimeter of a square, with a side length of s, is 4s. 6. 7. The ratio of the measures of two corresponding angles of two similar polygons is 1:1. 8. If two quadrilaterals are similar, then the quadrilaterals must be rectangles. 9. If two polygons are similar, then they are congruent. 10. If two triangles have the same perimeter, then they are congruent. 11. If the ratio of the lengths of two corresponding sides of two similar triangles is 1:1, then the triangles are congruent. an exercises 12-17, state why the polygons are, or are not, similar. 12. 13. 14.
1. Every Polygon is Similar to Itself: TRUE
2. All Triangles Are Similar: FALSE
3. All Rectangles Are Similar: FALSE
4. All Squares Are Similar: TRUE
5. If Two Polygons Are Similar to a Third Polygon, Then the Two Polygons Are Similar to Each Other: TRUE
6. If two polygons are each similar to a third polygon, then the two polygons are similar to each other: TRUE?
7. The ratio of the measures of two corresponding angles of two similar polygons is 1:1: ?
8. The ratio of the measures of two corresponding angles of two similar polygons is 1:1: FALSE
9. The ratio of the measures of two corresponding angles of two similar polygons is 1:1: TRUE
10. The ratio of the measures of two corresponding angles of two similar polygons is 1:1: FALSE
11. youre confusing me