Answer:
15 feet
Step-by-step explanation:
Plzz vote brainiest.... it would really help
Answer:
15
Step-by-step explanation:
you are welcome have a good day
modeling with mathematics a web browser is open on your computer screen. a rectangular computer screen is shown displaying a rectangular web browser. the length of the computer screen is labeled x plus 7 inches. the length and width of the web browser are labeled x inches and x minus 2 inches respectively. a. the area of the browser window is 24 square inches. find the length of the browser window $x$ . in. b. the browser covers $\frac{3}{13}$ of the screen. what are the dimensions of the screen? length: in. width: in.
The dimensions of the screen are:
length = L = 12 inches
width = W = (13L - 182) / 3 = (13*12 - 182) / 3 = 2 inches
a. The area of the browser window is given by:
area = length * width
24 = x(x-2)
Simplifying and solving for x, we get:
\(x^2\) - 2x - 24 = 0
(x - 6)(x + 4) = 0
Since the length cannot be negative, we take x = 6. Therefore, the length of the browser window is x = 6 inches.
b. Let L and W be the length and width of the computer screen, respectively. We are given that:
length of browser = x inches = L - 7 inches
width of browser = x - 2 inches
The area of the browser is:
area of browser = x(x-2) = (L-7)(L-9)
We are also given that the browser covers 3/13 of the screen, so:
area of browser = (3/13) * area of screen
x(x-2) = (3/13) * L * W
Substituting x = L - 7 and simplifying, we get:
(L-7)(L-9) = (3/13) * L * W
Expanding and simplifying, we get:
13L\(^2\) - 182L + 546 = 3LW
Since L and W are positive, we can divide both sides by 3L to get:
W = (13L - 182) / 3
We also know that the browser covers 3/13 of the screen, so:
area of browser = (3/13) * area of screen
x(x-2) = (3/13) * L * W
6(4) = (3/13) * L * ((13L-182)/3)
24 = (L/3) * (13L-182)
8 = L(13L-182)/3
24 = L(13L-182)
13L^2 - 182L - 24 = 0
(L - 12)(13L + 2) = 0
Since the length cannot be negative, we take L = 12. Therefore, the dimensions of the screen are:
length = L = 12 inches
width = W = (13L - 182) / 3 = (13*12 - 182) / 3 = 2 inches
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When solving an equation, Drew's first step is shown
below. Which property justifies Drew's first step?
Original Equation:
2(x + - 4) = -3
First Step:
2x + -8 = -3
addition property of equality
commutative property of multiplication
distributive property of multiplication over addition
commutative property of addition
Submit Answer
Answer:
distributive property of multiplication over addition
Step-by-step explanation:
how much fuel will you need to travel 75 sm if your airplane burns 3 gallons of fuel/hr. and your groundspeed is 45 mph?
Using Simple Speed formula,
To travel the distance of 75m with an airplane will need five gallons of fuel .
We have given that,
An airplane, fuel burn speed = 3 gallons of fuel per hour
ground speed of airplane = 45mph
distance = 75m
Speed = distance /time = 45 mph
=> 45 m distnce in one hour
fuel consumption of airplane = 3gallons/h
from above discussion we get,
fuel consumption for 45 m is equal to 3 gallons .
we have to calculate the quantity of fuel need to travel 75 m .
Now, 45 m distnce implies 3 gallons fuel consumption
1 m distance implies 3/45 gallons of fuel consumption
fuel consumption for 75 m =( 3/45)×75 = 5 gallons
Hence, 5 gallons fuel we need to travel 75 m .
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Question
This graph shows a proportional relationship.
What is the constant of proportionality?
Enter your answer in the box.
30 points!! PLEASE HURRY!
The constant of proportionality of the proportional relationship is:
k = 6.
Constant of Proportionality of a Proportional Relationship:The proportionality constant k is described as k=y/x when y and x are two numbers that are proportionate to one another directly. Finding the equation y=kx, which represents the directly proportional relationship between x and y, with your particular k is possible once you know the proportionality constant.
Now in the given graph,
consider a point on the proportional graph, (5, 30):
x = 5
y = 30
Therefore , constant of probability:
k = y/x
k = 30 / 5
k = 6
Therefore, the constant of proportionality of the proportional relationship is: k = 6
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Mari adds 4 spoonfuls of honey to a pitcher of iced tea each spoonful holds 5mL of honey how many mL does Mari add in all
Mari adds a total of 20 mL of honey to the pitcher of iced tea. Each spoonful of honey holds 5 mL, and Mari adds 4 spoonfuls.
Since each spoonful of honey holds 5 mL, Mari adds 4 spoonfuls. To calculate the total amount of honey added, we can multiply the volume of honey in each spoonful (5 mL) by the number of spoonfuls (4):
Total amount of honey = 5 mL/spoonful × 4 spoonfuls = 20 mL
Therefore, Mari adds a total of 20 mL of honey to the pitcher of iced tea.
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Desarrolla el siguiente cuadrado de binomio (2x³ - 6x)²
Answer:
\(4x^{6} - 24x^{4} + 36x^{2}\)
Step-by-step explanation:
Rewrite tan 36° in terms of its cofunction. tan 36⁰ = (Type an exact answer. Simplify your answer. Type any angle
tan 36° can be written as cot 54°, which simplifies to (√3 + 1) / (√3 - 1).
The tangent of 36° can be expressed in terms of its cofunction, which is the cotangent. The cotangent of an angle is equal to the reciprocal of the tangent of that angle. Therefore, we can rewrite tan 36° as cot (90° - 36°).
Now, cot (90° - 36°) can be simplified further. The angle 90° - 36° is equal to 54°. So, we have cot 54°.
The cotangent of 54° can be determined using the unit circle or trigonometric identities. In this case, the exact answer for cot 54° is (√3 + 1) / (√3 - 1).
Hence, tan 36° can be written as cot 54°, which simplifies to (√3 + 1) / (√3 - 1).
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Conjecture: The difference between two negative numbers is always negative. Write a counterexample. *
A quadrilateral is reflected over the y-axis. Which of the following statements about the coordinates of the image are true?
ONeither the x-values nor the y-values change.
Both the x-values and y-values change.
o Only the y-values change.
O Only the x-values change.
The true statement about the coordinates of the image:
Only the x-values change.
The correct option is D.
What is a reflection?A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you flipped the form over the line in order to graph a reflection.
Given:
A quadrilateral is reflected over the y-axis.
The reflection rule:
Over the y-axis,
(x, y) → (-x, y)
Therefore, reflected coordinates: only the x-values change.
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a gray squirrel population was introduced in a certain region 27 years ago. biologists observe that the population doubles every nine years, and now the population is 680. (a) what was the initial squirrel population? squirrels (b) what is the expected squirrel population, p, t years after introduction? p(t)
The gray squirrel population t years after introduction is P(t) = \(340 x 2^(t/9).\)
The formula for the gray squirrel population, p, t years after the introduction of the population is \(P(t) = P0 x 2^(t/9)\), where P0 is the initial population. We can use this formula to answer both (a) and (b). For (a), we can substitute t = 0 and P(t) = 680, to solve for P0. This gives us that the initial population of gray squirrels was 340. For (b), we can substitute t = 27 (the number of years since introduction) and P(t) = 680, to solve for P(27). This gives us that the expected population of gray squirrels t years after introduction is 1360. Therefore, the formula for the gray squirrel population t years after introduction is \(P(t) = 340 x 2^(t/9)\).
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Hi! how are you? Please answer the question pls! ill make sure to give brainliest too! :D
Answer:
16 cm squared
Step-by-step explanation:
8cm x 2cm would equal 16 cm squared
my day was okay. Had school, played some games, did hw, normal stuff. :D
Anywho im going to do my tutor hw and maybe help some other people. Bye!
Answer:
14 cm^2
Step-by-step explanation:
First of all we have to find the total area
total area = lenght x width = 8 x 2 = 16 cm^2
the shaded area is a right triangle
the area of a right triangle is
A = (leg 1 x leg2)/2 = (2 x 2)/2 = 2 cm^2
now we have to subtract it from the total area
16-2 = 14 cm^2
Solve the following quadratic equation.
d²-5d+6=0
Answer:
\(d=2\) and \(d=3\)
Step-by-step explanation:
\(d^2-5d+6=0\)
\((d-2)(d-3)=0\)
\(d=2\) and \(d=3\)
PLS help me 30 points in total
Answer:
Step-by-step explanation:
salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of $23. Option B is a commission rate of 10% on weekly sales. How much does he need to sell this week to earn the same amount with the two options?
Please answer question 1 and 2.
The answer for the given two figure is mBEC is 32° and mPR is 120°
What is tangent?A line that touches a circle only once is said to be tangent to it. A point to circle can only have one tangent. The intersection of the tangent and the circle is known as the point of tangency. Let's now demonstrate that the circle's tangent and radius are perpendicular to one another at their point of contact.
What is chord?The line segment connecting any two locations on a circle's circumference is referred to as the chord of the circle. It should be remembered that the diameter is the circle's longest chord that runs through its centre.
according to question,
In fig1 mBEC = mAEB - mDEC/2
mBEC = 94° - 30°/2
mBEC = 32°
In fig2 mPR = 180° - mPQR
= 180° - 60°
= 120°
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what's 9 + 10 ??? please help
Answer:
19
Step-by-step explanation:
Answer:19
Step-by-step explanation:
Which expression is equivalent to 2x2 – 18?
A. (2x – 3)2
B. 2(x - 3)2
C. (x + 9) (x - 9)
D. 2(x+3)(x – 3)
Answer:
B
Step-by-step explanation:
The expression equivalent to 2x² - 18 will be 2 ( x + 3 )( x - 3 ). The correct option is D.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Simplify the quadratic expression:-
E = 2x² - 18
E = 2 ( x² - 18 )
E = 2 ( x² - 9²)
Apply the formula a² - b² = ( a + b ) ( a - b ).
E = 2 ( x + 3 ) ( x - 3 )
Therefore, the expression equivalent to 2x² - 18 will be 2 ( x + 3 )( x - 3 ). The correct option is D.
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A cell phone manufacturer would like to estimate the mean difference in battery lifespan for a phone in full-power
versus power-saver mode. they randomly select eight phones and determine the battery lifespan, in hours, for each
phone using each power mode. the data are displayed in the table.
phone
full power
low power
1
8.25
14
2
8
15.5
3
8.5
13.5
4
8.5
14.25
5
8.25
15.25
6
9
13.75
7
8.5
14.5
8
8.25
15
what is the mean difference (low - full) and the standard deviation of the differences?
did=5.875. si=0.899
dir = 5.875. dift = 0.961
*dit = 6,063, sdir=0.899
ditt = 6,063, 5#=0.961
The mean difference (low - full) is 5.875 and the standard deviation of the differences is approximately 0.980.
To calculate the mean difference (low - full) and the standard deviation of the differences, we can follow these steps:
Calculate the differences for each pair of data points (low power - full power).
phone full power low power difference
1 8.25 14 5.75
2 8 15.5 7.5
3 8.5 13.5 5
4 8.5 14.25 5.75
5 8.25 15.25 7
6 9 13.75 4.75
7 8.5 14.5 6
8 8.25 15 6.75
Calculate the mean of the differences:
mean difference = (5.75 + 7.5 + 5 + 5.75 + 7 + 4.75 + 6 + 6.75) / 8
= 5.875
Calculate the standard deviation of the differences:
First, calculate the squared difference for each pair:
(5.75 - 5.875)² = 0.013
(7.5 - 5.875)² = 2.685
(5 - 5.875)² = 0.756
(5.75 - 5.875)² = 0.013
(7 - 5.875)² = 1.346
(4.75 - 5.875)² = 1.242
(6 - 5.875)² = 0.016
(6.75 - 5.875)² = 0.764
Next, calculate the mean of the squared differences:
mean squared difference = (0.013 + 2.685 + 0.756 + 0.013 + 1.346 + 1.242 + 0.016 + 0.764) / 8
= 0.961
Finally, take the square root of the mean squared difference to find the standard deviation of the differences:
standard deviation = √0.961
= 0.980
Therefore, the mean difference (low - full) is 5.875 and the standard deviation of the differences is approximately 0.980.
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HELPPPPPPPP I am taking it now
Answer:
I'm pretty sure the answer is -a²b and 5a²b
Step-by-step explanation:
Solve for x. Round to the nearest tenth, if necessary.
Answer:
Step-by-step explanation:
take 69 degree as reference angle
using sin rule
sin 69=opposite/hypotenuse
0.93=7.2/x
x=7.2/0.93
x=7.74
x=7.7
a stone pyramid in egypt has a square base that measures 140 m on each side. the height is 91 m. what is the volume of the pyramid?
the volume of the pyramid is approximately 593,866.67 cubic meters.
To find the volume of the pyramid, we first need to use the formula for the volume of a pyramid, which is:
\(V = \frac{1}{3} * base area * height\)
Since the pyramid has a square base, the base area can be found by multiplying the length of one side by itself:
base area = 140 m * 140 m = 19,600 m²
Now we can plug in the values for the base area and height into the formula:
V = (1/3) * 19,600 m^2 * 91 m
V = 1/3 * 1,781,600 m³
V = 593,866.67 m³
Therefore, the volume of the pyramid is approximately 593,866.67 cubic meters
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The volume of the pyramid is approximately 594,533.33 cubic meters.
To find the volume of a stone pyramid in Egypt with a square base that measures 140 meters on each side and a height
of 91 meters, you'll need to use the formula for the volume of a pyramid:
Volume = (1/3) × Base Area × Height
Calculate the base area by squaring the side length:
Base Area = Side × Side = 140 m × 140 m = 19,600 m²
Multiply the base area by the height:
Base Area × Height = 19,600 m² × 91 m = 1,783,600 m³
Multiply the result by (1/3) to get the volume:
Volume = (1/3) × 1,783,600 m³ = 594,533.33 m³ (rounded to two decimal places)
So, the volume of the pyramid is approximately 594,533.33 cubic meters.
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a box contains six green balls five red balls and eigth yellow balls how many ways are there of choosing ten balls from the bopx if the number of green balls chosen must be even
The number of ways are there of choosing ten balls from the box if the number of green balls must be in even numbers =15946 ways
To determine the number of ways of choosing ten balls from the box such that the number of green balls chosen is even, we need to consider the different possible combinations of green balls that could be chosen.
First, we can select 0 green balls, in which case we would need to choose all 10 balls from the 5 red and 8 yellow balls. This can be done in (5+8) choose 10 ways, which is 13 choose 10, or 286 ways.
Alternatively, we could choose 2, 4, or 6 green balls, and then select the remaining balls from the red and yellow balls. To count the number of ways of doing this, we can use the binomial coefficient formula.
The total number of ways of selecting 10 balls from the box is (6+5+8) choose 10, which is 19 choose 10, or 92,378 ways.
Therefore, the number of ways of choosing 10 balls from the box such that the number of green balls chosen is even is the sum of the number of ways of choosing 0, 2, 4, or 6 green balls, which is:
(6 choose 0)(13 choose 10) + (6 choose 2)(5 choose 8)(8 choose 0) + (6 choose 4)(5 choose 6)(8 choose 0) + (6 choose 6)(5 choose 4)*(8 choose 0)
Simplifying this expression gives a total of 15,946 ways.
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anyone tryna help me
Answer:
y < (3/2) |x - 3| +2
Step-by-step explanation:
The pie chart represents the results when 120 people in a shopping centre were asked which country they were born in. Uk:84 What fraction of people were born in the UK? Give your answer in its simplest form.
Answer:
22 people were born in the uk (66 ÷ 360) × 120=22
Step-by-step explanation:
Using the pie chart, the fraction of people born in the UK, is: 7/30.
What is a Pie Chart?A pie chart is a graphical representation used to describe the composition of a data using degrees or percentages.
84° is given as the number of people that were born in the UK.
That's about: 84/360 × 120 = 28 people.
28 out of 120 people would give us a fraction of: 28/120 = 7/30.
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Given: ∠GHD and ∠EDH are right; GH ≅ ED Triangles G H D and E D H overlap and intersect at point F. The triangles share side H D. Sides G H and E D are congruent. angles G H D and E D H are right angles. Which relationship in the diagram is true ?
A. △GHD ≅ △EDH by SAS
B. △GHF ≅ △EDF by SSS
C. △FDH ≅ △FDE by ASA
D. △HFD ≅ △HFG by SSS
Answer:
A. △GHD ≅ △EDH by SAS
Step-by-step explanation:
This is right on edge. 2020
In triangles GHD and EDH angle GHD and angle EDH is congruent, side GH is congruent to the side ED, and side HD is congruent to side HD. So, from side angle side postulate triangle GHD and triangle EDH are congruent.
Given :
∠GHD and ∠EDH are rightGH ≅ ED Triangles G H D and E D H overlap and intersect at point F.The triangles share side H D. Sides G H and E D are congruent. angles G H D and E D H are right angles.In the Side Angle Side postulate, the two sides and the included angle of one triangle are congruent to the two sides and the included angle of another triangle.
Given that in triangles GHD and EDH angle GHD and angle EDH is congruent, side GH is congruent to the side ED, and side HD is congruent to side HD.
So, from side angle side postulate triangle GHD and triangle EDH are congruent. Therefore, the correct option is A).
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The school flagpole is 28.5 feet tall. How many yards is that?
Answer:
The answer is 9.5 Yards
Answer:
9.5
Step-by-step explanation:
one foot is equal to 0.33 yards
divide 28.5 by 3
What is the image of the point (1, 4) after a rotation of 270° counterclockwise
about the origin?
Answer:
(4,-1) is the answer
Step-by-step explanation:
The value of (x,y) is (1,4)
Rotation through 270° anticlockwise direction;
when point P is rotated than
P(x,y) ----------> P' ( y,-x)
A (1,4)----------> A' (4,-1)
hurry please!! - question on attached image
Answer:
the answer is y=2x+3 hope this helps
If the electric field at the point (x,y,z) is E(r)=
ε
0
K
(
x
2
+y
2
+a
2
x
,
x
2
+y
2
+a
2
y
,0) Find the charge distribution given by where K and a are constants.
The charge distribution is given by a constant charge density ρ = ε₀K(2x, 2x, 0).
To determine the charge distribution given the electric field E(r) = ε₀K(x² + y² + a², x² + y² + a², 0), we can apply Gauss's law and the relationship between electric field and charge density.
Gauss's law states that the divergence of the electric field (∇ · E) is equal to the charge density (ρ) divided by the permittivity of free space (ε₀).
In this case, since the electric field E(r) is given, we can calculate the divergence ∇ · E by taking the partial derivatives of each component of E with respect to their corresponding variables:
∂Eₓ/∂x = ε₀K(2x, 2x, 0)
∂Eᵧ/∂y = ε₀K(2y, 2y, 0)
∂Ez/∂z = 0
Now, equating each component of the divergence to the charge density ρ:
∂Eₓ/∂x = ε₀K(2x, 2x, 0) = ρ
∂Eᵧ/∂y = ε₀K(2y, 2y, 0) = ρ
∂Ez/∂z = 0
From these equations, we can see that the charge density ρ is constant and equal to ε₀K(2x, 2x, 0) or ε₀K(2y, 2y, 0) in each direction.
Therefore, the charge distribution is given by a constant charge density ρ = ε₀K(2x, 2x, 0) or ρ = ε₀K(2y, 2y, 0) depending on the direction.
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1) What is the common difference of the arithmetic sequence 5, 8, 11, 14?
Answer:
The common difference of the sequence 5,8,11,14 is 3.
Answer:
the answer is 3
Step-by-step explanation:
5 + 3 = 8
8 + 3 = 11
11 + 3 = 14, therefore the common difference of the arithmetic sequence is three.