Rami's glass is fuller than Will's glass by 1/8
How to determine whose glass is fuller?From the question, we have the following parameters that can be used in our computation:
Rami's glass is 1/2 full. Will's glass is 3/8 full.
Convert the fractions to decimal
This gives
Rami's glass is 0.5 full. Will's glass is 0.375 full.
0.5 is greater than 0.375
So, Rami's glass is fuller
How much fuller is it?To do this, we calculate the difference
So, we have
Difference = 0.5 - 0.375
Evaluate
Difference = 0.125
Rewrite as
Difference = 1/8
Hence, it is 1/8 fuller
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The solution set of the equation x² + 5x = 0 is:
A. {0}
B. {5}
C. {-5}
D. {0, -5}
Answer:
D
Step-by-step explanation:
x²+5x=0
by factorizing;
x(x+5)=0
x=0 or x+5=0
Therefore, x= 0 or x=-5 ---> {0, -5}
Show that 100 divided by 20 is 5, using at least five daily life examples.
Answer:
true
Explanation
1. if a man has a hundred apples and like to share between 20 men. this has to be equal.
5 to 1man.
Two triangles are shown.
Complete the statement to prove that triangle
ABD is similar to triangle ECD. Fill in the blank
to complete the statement.
∠ ABD and ∠ ECD are _____
and angle ___________ is shared by both triangles,
therefore the figures are __________
by ________ __________ __________
On solving the provided question, we can say that - the given triangles ECD and triangle PQR
What is triangle?Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.
here,
EC = PQ
CD = PR
ED = QR
therefore both triangles are similar by SSS property
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An art museum opens at 9 am and closed at 5 pm the function V gives the number of visitors in a museum h hours after it opens explain what this statement tells us about the situation: V(5)=36
Answer:
Five hours after the museum opens, there are 36 visitors.
Step-by-step explanation:
V(5)=36 means that when h is 5, V is 36. Assuming this is a function from what information this gives.
The sum of a number and 9
Answer: look it up :)
Step-by-step explanation: click new tab. then type 'the sum of a number and 9'. the first or second result will come up with your answer, n+9 is the one I got.
Answer: x+9 or n+9
Step-by-step explanation: sum refers to addition you can put x for "a number" thus you get x+9 as your expression or n+9 for your teacher but both are variables so it doesn't matter if it's j, y, u, or p what's there functionality wise but your teacher might want it a certain variable like n
2x^5 + 4y^12/12x^2 = ?
Solve in simplest form
Answer:
2x^5+y^12*x^2/3
Step-by-step explanation:
Which of the binomials below is a factor of this trinomial? x^2 + x - 30
The binomials which correctly represent the factors of the given trinomial; x² + x - 30 as required in the task content are; ( x - 5 ) and ( x + 6 ).
Which binomials correctly represents the factors of the given trinomial?As evident in the task content; the given trinomial whose binomial factors are to be determined is; x² + x - 30.
By factorisation; the given trinomial expression can be written as;
x² + 6x - 5x - 30
x ( x + 6 ) -5 ( x + 6 )
( x - 5 ) ( x + 6 )
On this note, the required binomials which are factors of the given trinomial expression are; ( x - 5 ) and ( x + 6 ).
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help me with this question please
Answer:
[tex] \sf \: a) \: 1[/tex]
Step-by-step explanation:
Given values of variables,
→ e = 3.2
→ d = 10
→ u = 7
The problem needed to solve is,
[tex] \sf \rightarrow \: \frac{ue}{eu} [/tex]
Let's solve the problem,
[tex] \sf \rightarrow \: \frac{ue}{eu} [/tex]
[tex] \sf \rightarrow \: \frac{(7 \times 3.2)}{(3.2 \times 7)} [/tex]
[tex] \sf \rightarrow \: \frac{22.4}{22.4} [/tex]
[tex] \sf \rightarrow \: \frac{1}{1} = 1[/tex]
Hence, option (a) is correct.
Answer:
Option A ) 1
Step-by-step explanation:
[tex]\frac{ue}{eu} = \frac{3.2X7}{7X3.2} = \frac{22.4}{22.4} = 1[/tex]
Hence , Option A ) is the answer
Whose inverses are also functions
Functions whose inverses are also functions.
What is inverse function?Inverse function is represented by [tex]f^{-1}[/tex] with regards to the original function and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.
If a horizontal line intersects the original function in a single region, the function is a one-to-one function and inverse is also a function.
Every function has an inverse, but not every inverse will be a function. The inverse may fail the vertical line test. If the original function is a one-to-one function, then its inverse will be a function. A one-to-one function not only passes the vertical line test, it also passes a horizontal line test.
Therefore, functions whose inverses are also functions.
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(c) Ben changes £800 to Euros before he goes on holiday.
£1 = 1.25 Euro
He spends 895 Euros.
He changes the Euros that he has left to Pounds (£).
The exchange rate is now £1 = 1.40 Euro
How many Pounds does he get back?
Amount of pounds that Ben get back is £75.
What is Exchange Rate?Exchange rate is defined as the value of a currency with respect to another currency in order to convert the currency.
Ben changes £800 to Euros before he goes on holiday.
Before holiday, exchange rate is, £1 = 1.25 Euro
£800 = 800 × 1.25 Euros = 1000 Euros
He spends 895 Euros.
Euros left = 1000 - 895 = 105 Euros
Now, the exchange rate is £1 = 1.40 Euro.
or 1.40 Euro = £1
⇒ 1 Euro = £ 1/1.40
⇒ 105 Euros = £ (1/1.40) × 105 = £75
Hence Ben got £75 of pounds back.
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Sketch the Asymptotes and graph the function.
the quadratic equation have been solved and the required graph is attached below.
What is quadratic equation?
it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form. A non-zero term (a 0) for the coefficient of x2 is a prerequisite for an equation to be a quadratic equation. The x2 term is written first, then the x term, and finally the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of letters a, b, and c are expressed as integral values rather than fractions or decimals.
The equation:
[tex]\frac{x^{2}-7x+12 }{x^{2} -1}[/tex]
Its a quadratic equation in both numerator and denominator, by dividing the x² will be get a graph as given in the attached file.
Hence, the quadratic equation will be solved and the required graph is attached below.
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Scatterplot Question
1) The equation of a line of best fit is; y = -1.15x + 102.8
2) The predicted monthly cost for an average temperature of 25°F is $74.05
How to find the equation of the line of best fit?The equation of a line of best fit is represented by the equation;
y = mx + c
where;
m is the slope
c is the y-intercept
1. To calculate the slope here, we will use the formula;
Slope = (y₂ - y₁)/(x₂ - x₁)
Using two coordinate points on the scatter plot, (72, 20) and (20, 80), we have the slope as;
Slope (m) = (80 - 20)/(20 - 72)
Slope = 60/-52
Slope = -1.15.
Plug in -1.15 for m and (a, b) = (72, 20) into the formula; y = mx + c to get;
20 = -1.15(72) + c
c = 20 + 82.8
c = 102.8
The equation will now be;
y = -1.15x + 102.8
2. Monthly heating cost, y, for a month with an average temperature of 25°F (x) will be calculated by plugging in 25 for x in the equation of line of best fit gotten earlier to get;
y = -1.15(25) + 102.8
y = 102.8 - 28.75
y = $74.05
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Graph the parabola.
y=x²+2x+2
(Will mark brainliest)
Answer:
Step-by-step explanation:
What is the equation of this graph in slope intercept form
The slope-intercept form of the two straight lines in the graph of the question are;
y = 4y = 3What is the slope-intercept form of the equation of a straight line?The slope-intercept form of the equation of a straight line is; y = m·x + c
Where;
m = The slope of the line
c = The y-intercept of the line
The values of the ordered pair of the points on the line are in the form (x, y)
The graph consists of two straight lines, therefore the equations that represent the graphs are found as follows;
Points on the blue line graph are (0, 4), (2, 4), and (4, 4)
The slope of the blue line graph is therefore;
m = (4 - 4)/(2 - 0) = 0
The y-intercept of the blue line graph is; c = 4
The slope-intercept form of the equation representing the blue line graph is therefore;
y = 0 × x + 4
y = 4The slope-intercept form of the equation of the blue line graph is; y = 4
Points on the red line graph are; (0, 3), (2, 3), (4, 3)
The sloped of the red line graph is therefore; m = (3 - 3)/(2 - 0) = 0
The y-intercept of the red line graph is; c = 3
The slope-intercept form of the equation of the red line graph is therefore; y = 0 × x + 3
y = 3
The slope-intercept form of the equation of the red line graph, therefore is; y = 3Learn more on the slope-intercept form of the equation of a straight line here: https://brainly.com/question/1091436
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Aregular decagon has a radius of 8 cm. What is the approximate area of the decagon?
Using a calculator we can approximate this to be A ≈ 568.89 cm^2.
What is regular decagon?A regular decagon is a two-dimensional geometric shape with ten sides of equal length and ten interior angles of equal measure. It is a polygon, which is a two-dimensional shape made up of line segments (straight sides).
The approximate area of a regular decagon can be calculated using the formula A = (5/2) * a^2 * tan(π/5), where a is the length of each side. Since the radius of the decagon is 8 cm, the length of each side can be calculated using the formula a = 2r * sin(π/10) where r is the radius.
Plugging these values into the formula we get A = (5/2) * (2 * 8 * sin(π/10))^2 * tan(π/5) which simplifies to A = 320 * sin^2(π/10) * tan(π/5).
Using a calculator we can approximate this to be A ≈ 568.89 cm^2.
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Helen draws a random circle, she then measures the circumference and diameter.
She gets a circumference C of 405mm correct to 2 significant figures
She gets a diameter D of 130mm correct to 2 significant figures
Helen wants to find the value of [tex]\pi[/tex] using the formula [tex]\pi[/tex] = C÷D
Calculate the lower and upper bound for Helens value of [tex]\pi[/tex]
Give your answer correct to 3 decimal places
The value of π can be written with upper and lower limits as -
3.12 ± 0.062.
What are significant figures?Significant figures of a number in positional notation are digits in the number that are reliable and necessary to indicate the quantity of something.
Given is that Helen draws a random circle, she then measures the circumference and diameter. She gets a circumference {C} of 405mm correct to 2 significant figures She gets a diameter {D} of 130mm correct to 2 significant figures.
We can write -
Circumference {C} = (405 ± 2) mm
Diameter {D} = (130 ± 2) mm
The value of π can be calculated as -
π = {C}/{D}
π = (405 ± 2)/(130 ± 2)
Now, divide the numbers without errors first -
405/130
3.12
Now, we will calculate the relative errors in each number -
2/405 = 0.004
2/130 = 0.016
Adding the relative errors -
0.004 + 0.016
0.02
Absolute error = 0.02 x 3.12 = 0.062
The value of π can be written with upper and lower limits as -
3.12 ± 0.062
Therefore, the value of π can be written with upper and lower limits as -
3.12 ± 0.062.
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N-2=10n+4/2
Please explain step by step to get picked brainliest
Answer:
n = -4/9
Step-by-step explanation:
first get rid of n on left side
-2 = 9n + 2
Get rid of 2 on right side
-4 = 9n
Make 9n into n
-4/9 = n
ans: n = -4/9
hope this helps :)
given f''(x)=4x-2 and f'(-1)=0 and f(-1)=4
find f'(x)=
find f(4)=
Directions: Solve the following problem in a way that makes sens
PROBLEM-SOLVING:
1. Students at Grossmont College are planting a community garden.
One-fifth of the garden will be planted with roses. Three students ar
equally sharing the planting of the rose section. How much of the
whole garden will each of the 3 students plant?
Therefore , the solution of the given problem of algebra comes out to be
60 garden beds in the students plans.
Algebra: What Is It?Algebra, a subfield of mathematics, is concerned with symbols and the mathematical operations carried out on them. Because these symbols don't have predetermined values, they are referred to as variables. These symbols are additionally put through a variety of addition, subtraction, multiplication, and division arithmetic operations in order to obtain the values.
Here,
Given: actual flower bed: 18
This represents 30% of all garden beds.
Assume that x is the size of the entire flowerbed.
So, 30% of x= 18
30/100 x = 18
x= 1800/ 30
x= 60
60 garden beds are therefore planned by the students.
Therefore , the solution of the given problem of algebra comes out to be
60 garden beds in the students plans.
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Cassie rolls a fair number cube with 6 faces labeled 1 through 6. She rolls the number cube 300 times. Which results are
probable to happen according to theoretical probability? Select TWO answers.
On solving the question, we can say that - the probability of given will be P(a/c) = 3/6 = 1/2
What is probability?A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1. the proportion between the number of events in a comprehensive collection of equally likely outcomes that lead to a certain occurrence and the entire number of outcomes.
here,
the probability that event the dice will roll is 6
and chances of geting even numbers are = 3
so P(a/c) = 3/6 = 1/2
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Any help pls. Question is : Find the equation of line B, which is perpendicular toy-2x=-8(x-8)and passes through the point (6,-6). Find the midpoint of the line segment AB in the following figure
Answer:
Perpendicular line ⇒ 2x + 9y + 42 = 0
midpoint: (-1,1)
Step-by-step explanation:
Let's find the coordinates of midpoint of AB
Here, from figure, A = (-3,-2), B = (1,4)
So midpoint:
[tex]P = (\frac{-3+1}{2},\frac{-2+4}{2})[/tex]
∴ P = (-1, 1)
Now, given straight line is x - 2y = -8(x-8)
⇒x - 2y = -8x+64
⇒9x - 2y - 64 = 0
Perpendicular line to 9x - 2y - 64 = 0 is 2x + 9y + k = 0
Perpendicular line passes though (6,-6)
Putting the values, we get
2(6) + 9(-6) + k = 0
⇒12 - 54 + k = 0
⇒k = 42
∴ Perpendicular line ⇒ 2x + 9y + 42 = 0
Divide. Round to the nearest tenth.
3.5/2.29
Answer:
The answer will be 1.53 after dividing and rounding to the nearest tenth 3.5 divided by 2.29.
PLEASE HELP
Consider the two circles shown
To show that circle P is similar to circle Q, circle P is translated t units to the right. The image is then dilated about it’s center by a scale factor of s.
What are the values of t and s
Answer:
t is 13
scale factor is 7/4
i’m not sure if the first one right but i need help
The formula is written as (3x+9)(x+9) of + 36x + 81 = 0. A second-degree polynomial equation can be used to define quadratics.
A quadratic equation is defined.Multiplying a variable by itself is the mathematical operation known as "squaring," which is frequently used to refer to a quadratic issue. This vocabulary is based on the notion that a square's area is equal to the sum of its side lengths. The word "quadratic" derives from the Latin quadratum, which meaning square.
here ,
[tex]= + 36x + 81 = 0\\= 3x^2 + 27x + 9x + 81\\= 3x(x+9) + 9(x+9)\\= (3x+9)(x+9)\\= 3(x+3)(x+9)[/tex]
factorized form is [tex](3x+9)(x+9) of + 36x + 81 = 0 .[/tex]
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For the function f(x) shown below, find the definite integral ∫₀⁶ f?(x)dx
========================================================
Explanation:
The left-most rectangle spans from x = 0 to x = 2. It has base 2 and height 2, which means it has an area of 2*2 = 4 square units. Let A = 4 since we'll use it later.
The middle rectangle goes from x = 2 to x = 4. It has base 2 and height 3 (because it goes from y = 0 to y = -3). The area is B = 2*3 = 6
Draw a vertical line through 6 on the x axis. This forms the final rectangle we need. It has base 2 (because it goes from x = 4 to x = 6) and height 5. The area is C = 2*5 = 10.
The small sliver to the right of x = 6 is ignored completely.
--------------------
Summary so far:
A = 4B = 6C = 10Those represent the areas of the rectangles from left to right. We ignore the portion to the right of x = 6.
Since rectangle B is below the x axis, we treat this as a negative area, or we subtract off this area. The positive areas of rectangles A and C are added.
So,
A-B+C = 4-6+10 = 8 is the final answer
We can write [tex]\displaystyle \int_{0}^{6}f(\text{x})d\text{x} = \boldsymbol{8}[/tex]
What are the dimensions of this shape in terms of the dimensions of the circle?
The diameter or radius of the circle is the dimension of a circle.
What is a circle?The circular line is drawn equidistant from the center point of a circle, which is a two-dimensional geometry object on a plane.
A geometrical rule states that the dimension of an object with n dimensions is n+1. For instance, a square is made up of line segments that are 1d and a cube is built up of squares that are 2d. The circle is therefore 2d or two-dimensional space since it is made up of 1d diameters.
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Answer:
The length of the parallelogram is half of the circumference of the circle, and its height is equal to the radius of the circle.
Step-by-step explanation:
Verify which of the following are identities. 1) 1 + = 4 sec 2) 15 cos = 15 a. Only the first equation is an identity. b. None of the equations are identities. c. Only the second equation is an identity. d. Both the equations are identities. Please select the best answer from the choices provided A B C D
The correct option regarding which of the sentences represents a trigonometric identity is given as follows:
b. None of the equations are identities.
What is a trigonometric identity?A trigonometric identity is a relation that is true for all possible angle measures of [tex]\theta[/tex]
The first relation is given as follows:
[tex]4\cos{\theta}\tan{\theta}\sec{\theta} = 4[/tex]
The tangent and secant equations are given as follows:
tan(x) = sin(x)/cos(x).sec(x) = 1/cos(x).Hence:
4cos(x)tan(x)sec(x) = 4cos(x) x sin(x)/cos(x) x 1/cos(x)
4cos(x)tan(x)sec(x) = 4sin(x)/cos(x)
4cos(x)tan(x)sec(x) = 4tan(x).
Meaning that the first statement is not an identity.
The second relation is given as follows:
[tex]\frac{9\sec^{2}{\theta}}{\cos^{2}{\theta}} - \frac{\tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]
With a single denominator, we have that:
[tex]\frac{9\sec^{2}{\theta} - \tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]
The secant identity is given as follows:
[tex]\sec^2{\theta} = 1 + \tan^2{\theta}[/tex]
Hence:
[tex]\frac{9\sec^{2}{\theta} - \tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]
[tex]\frac{9(1 + \tan^2{\theta}) - \tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]
[tex]\frac{9 + 8\tan^2{\theta}}{\cos^{2}{\theta}} = 2[/tex]
Is also a false statement, hence neither is an identity and option B is correct.
Missing InformationThe statements are given by the image presented at the end of the answer.
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For FFA, Mr. Sink bought 7 calves for $3,500. He later bought another calf for $600. What is the mean cost for all of the calves?
Answer: Mr. Sink bought 7 calves for a total of $3,500, and he later bought another calf for $600, for a total of $4,100.
In total, Mr. Sink bought 7 + 1 = 8 calves.
The mean cost for all of the calves is equal to the total cost of all of the calves divided by the number of calves.
Therefore, the mean cost for all of the calves is 4,100 / 8 = $512.50.
Step-by-step explanation:
An acute angle, θ, is in a right triangle such that sin of theta is equal to 3 over 8 period What is the value of cot θ?
An acute angle, θ, is in a right triangle such that sin of theta is equal to 3 over 8 period The value of cot θ is (√55)/3.
What is the value of cot θ?To determine the value of cot(θ), Since is an angle in a right triangle and sin() = 3/8, we obtain:
cot(θ) = (√55)/3
In light of the fact that is an acute angle in a right triangle, we may calculate:
sin(θ) = 3/8
Keep in mind:
Hypotenuse = ((opposite cathetus)2 + (adjacent cathetus)2), where sin() = (opposite cathetus)/(hypotenuse)
Next, we have:
contrary cathetus = 3
Using the formula hypotenuse = 8 = (3 + neighboring cathetus)2,
In order to solve this for the nearby cathetus, we obtain:
(82 - 32) = 55 adjacent cathetus
And we are aware of:
(Cot) = (nearby cathetus) (opposite cathetus)
Next, we have:
cot(θ) = (√55)/3
The value of cot θ is (√55)/3.
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•50 POINTS HELP• guessers will be reported.
If P=(4,7), Find: D2 (p)
The answer is distance from P to l. is equal to square root of 2
Find the distance from P to l ?Line I contains points (0, -3) and (7,4). Point P has coordinates (4,3)
Find the slope of line l we have the points (0, -3) and (7,4)
m=(4+3)/(7-0) m=7/7 m=1
Find the equation of the line perpendicular to the line l that passes through the point P
Remember that
If two lines are perpendicular, then the product of their slopes is equal to -1, the slope of the perpendicular line is
m=-1 .Find the equation in point slope form
y-y1=m(x-x1)
(x1,y1)=P(4,3)
substitute
y-3=-1(x-4)
y-3=-x+4
y=-x+7
m=1 (see the step 1)
and we have the point (0,-3) -----> y-intercept
so the equation of the line l is
y=x-3
Find the intersection point line l and its perpendicular line
y=x-3 ------> equation A
y=-x+7 -----> equation B
solve the system of equations
Adds equation A and equation B
2y=-3+7
2y=4
y=2
substitute in equation A
2=x-3 x=2+3 x=5
the intersection point is (5,2)
Find the distance between point (5,2) and point P(4,3)
Remember that, this distance is the distance from P to l.
the formula to calculate the distance between two points is equal to
we have
(x1,y1)=(5,2)
(x2,y2)=(4,3)
substitute in the formula
therefore
The answer is distance from P to l. is equal to square root of 2
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