Answer:
1. 2
2. 1/2
3. They are reciprocals
Step-by-step explanation:
Constant of Proportionality: \(\frac{y}{x}\)
I hope I was able to help! I apologize if I'm incorrect
I want to pull all nighter and stay awake for 36 hours. If I woke up at 12 PM, and if it's currently 11:22 PM right now, then how long have I been awake?
( I actually need to know I'm pulling an all nighter to reset my sleep schedule)
Answer:
11 hours and 22 minutes
Hi, who can give me the answer of these exercises I need it for tomorrow it is urgent thx for the people who will give me the answers.
The unknown values are ∠ACE = 64.5°, ∠PRQ = 90°, ∠AOC = 40° and ∠a = 50° along with question no. 2, ∠B = 105°, all solved using angle sum property.
What is angle sum property?
When three line segments intersect at three different angles, the result is a figure known as an Angle Sum Triangle. Triangles always contain a total of 180 degrees of angles.
Any triangle's angles add up to 180 degrees, according to the Angle Sum Triangle Theorem. By applying fundamental geometry concepts, this theorem can be demonstrated. Obtuse, right, or acute angles can all be found in triangles.
Triangle-related issues can be resolved using the Angle Sum Triangle theorem, a crucial geometry theorem. It can be used to gauge a triangle's angle sizes or to establish whether it is acute, right, or obtuse.
A)
∠ABC =∠BCA
∠BAC + ∠ABC + ∠BCA = 180
55 + 2∠ABC =
2∠ABC = 180 - 55
2∠ABC = 125
∠ABC =∠BCA = 75.5
100 + 2∠ECD = 180
∠ECD = 40
∠ACE = 180 - 75.5+40
∠ACE = 64.5°
B) ∠PRQ = 90° any triangles one side crosses through centre then the opposite angle is 90°.
C) ∠AOC = 40° when inside a circle, the angle on centre is double the angle touching the circumference
D) ∠a = 360 - 90 + (180-60) + (180-80)
∠a = 50°
2. The value of angle be can be calculated using angle sum property of triangle i.e.
(x+5) + 3x + x = 180
5x + 5 = 180
5x = 175
x = 175/5
x = 35
∠B = 3(35)
∠B = 105°
Thus, the unknown values are ∠ACE = 64.5°, ∠PRQ = 90°, ∠AOC = 40° and ∠a = 50° along with question no. 2, ∠B = 105°.
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HELP ASAP PLEASE!!! Explain how you will benefit most from improving your math skills.
Answer:
Some of the most lucrative jobs are all about math. Most engineering fields are all about sharp math skills, whether it’s civil and mechanical or software engineering. Working in finance also obviously involves a lot of math, and what better way to make money than working in the field that’s all about money? You can also become a statistician or actuary; it’s not easy to find good statisticians, despite the need for them. If you want to earn good money, then you do need good math skills.Then again, you could use math in life anyway.
Step-by-step explanation:
Kelly had $12 and spent $x. Ami had $6 and collected $x. The two girls then had the same amount of money.
Use an algebraic expression to show how much money Kelly and Ami have:
Kelly: ___________ (2 points)
Ami: ___________ (2 points)
Form an algebraic equation by combining the expressions in a. above (2 points)
Solve the equation in b. above to determine the value of x (4
Can someone answer this!!!
Answer:
To South
Step-by-step explanation:
note the directions that are given on the left side
Answer:
यो त युनाइटेड स्टेट्स अफ अमेरिका हो।
As the balloon inflates at 20 cubic inches per second, the diameter and radius are changing. let's focus on the moment when the radius is 12 inches. share your answer with correct units.
At the moment when the radius is 12 inches, the balloon is inflating at a rate of 20 cubic inches per second.
To determine the rate at which the radius is changing, we can use the formula for the volume of a sphere, which is given by \(V = \left(\frac{4}{3}\right)\pi r^3\), where V is the volume and r is the radius.
Taking the derivative of both sides with respect to time t, we get \(\frac{dV}{dt} = 4\pi r^2\left(\frac{dr}{dt}\right)\), where \(\frac{dV}{dt}\) represents the rate of change of volume with respect to time and \(\frac{dr}{dt}\) represents the rate of change of radius with respect to time.
Given that \(\frac{dV}{dt} = 20\) cubic inches per second, we can substitute this value into the equation and solve for \(\frac{dr}{dt}\) when r = 12 inches:
\(20 = 4\pi (12)^2 \left(\frac{dr}{dt}\right)\)
Simplifying the equation:
\(20 = 576\pi \left(\frac{dr}{dt}\right)\)
Dividing both sides by 576π:
\(\left(\frac{dr}{dt}\right) = \frac{20}{576\pi}\)
Therefore, the rate at which the radius is changing when the radius is 12 inches is approximately \(\frac{20}{576\pi}\) inches per second.
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In the quadrilateral, m
m
m
m
A park, in the figure of a quadrilateral ABCD, has ∠C = 90°, AB = 9m, BC = 12 m, CD = 5 m, and AD = 8 m. The area is 65.49 m² ≈ 65.5m²
What is Pythagoras's theorem?A fundamental relationship in Euclidean geometry between a right triangle's three sides is known as the Pythagorean theorem or Pythagoras' theorem. According to this rule, the area of the square with the hypotenuse side is equal to the sum of the areas of the squares with the other two sides. The Pythagorean Theorem states that the squares on the hypotenuse of a right triangle, which is the side that faces the right angle, are equal when added together. This is written as a2 + b2 = c2 in the usual algebraic notation.Join BD in "BCD," and receive BC and DC.
In order to compute BD, we can use Pythagoras's theorem.
\(& \Rightarrow \mathrm{BD}=\sqrt{\mathrm{BC}^2+\mathrm{CD}^2} \\\)
\(& \quad=\sqrt{12^2+5^2}=\sqrt{144+25}=13 \mathrm{~m}=\mathrm{BD}\)
Area of triangle ABD
\($ =\sqrt{\mathrm{s}(\mathrm{s}-\mathrm{a})(\mathrm{s}-\mathrm{b})(\mathrm{s}-\mathrm{c})} \text { (Heron's formula) } \\\)
\(& \Rightarrow 2 \mathrm{~S}=9+8+13, \mathrm{~S}=\frac{30}{2} \\\)
\(& \Rightarrow \mathrm{S}=15 \mathrm{~m} \\\)
\(& \Rightarrow \text { Area of } \triangle \mathrm{ABD} \\\)
\(& =\sqrt{15(15-9)(15-8)(15-13)} \\\)
\(& =\sqrt{15 \times 6 \times 7 \times 2}=\sqrt{630 \times 2} \\\)
\(& =6 \sqrt{1260}=35.49 \mathrm{~m}^2\)
⇒ Area of Park = Quad ABCD
= 30+35.49
= 65.49 m² ≈ 65.5m²
The complete question is:
A park, in the shape of a quadrilateral ABCD, has ∠C = 90°, AB = 9m, BC = 12 m, CD = 5 m and AD = 8 m. How much area does it occupy?
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Karl’s rectangular vegetable garden is 20 feet by 45 feet, and Makenna’s is 25 feet by 40 feet. Whose garden is larger in area?
Answer:
Makennas
Step-by-step explanation:
Area of rectangle = length * width
Area of Karl's garden = 20 * 45 = 900ft²
Area of Makenna's garden = 25 * 40 = 1000ft²
1000 is greater than 900 therefore makennas garden has a greater area than Karls garden
Hence, Makenna's garden is larger in area than Karl's because 1000 > 900.
Hoped this helped.
\(BrainiacUser1357\)
Greta has two pet lizards draco and lizzy for every 11 crickets Greta feeds draco she always feeds lizzy 8 crickets last week Greta fed draco 77 crickets
greta fed lizzy 56 crickets
Answer:
She feeds Lizzy 56 crickets when she feeds Draco 77.
Step-by-step explanation:
Lets put it as an equality:
\(\frac{11}{8}\) = \(\frac{77}{x}\)
We want to solve for x. We can do so by finding how much larger the second fraction is than the first. In this case, 77 is 7 times larger than 11 (77/11=7), so we know that x must also be 7 times larger than 8 (because the fractions are proportional).
Since x is 7 times larger than 8, we can use 7 times 8 to find the value.
7 times 8 is 56
56 crickets for Lizzy!
Hope this helps and makes sense!
Math! Please help! Due today!
Answer:
\(2<x<4\)
Step-by-step explanation:
The graph is negative when it is below the \(x\)-axis.
1. What are the 3 conditions for a function to be continuous at xa? 2. the below. Discuss the continuity of function defined by graph 3. Does the functionf(x) = { ***
The three conditions for a function to be continuous at a point x=a are:
a) The function is defined at x=a.
b) The limit of the function as x approaches a exists.
c) The limit of the function as x approaches a is equal to the value of the function at x=a.
The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.
The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.
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g(x) = -3x - 5, find g(4).
Step-by-step explanation:
putting the value of x in -3x-4 where x is 4 so the ans is -17
Convert the angle 1 radian to degrees, rounding to the nearest 10th.
Answer:
57
Step-by-step explanation:
57 rad×180/pie
ans:57.296 round to 10th
equals 57
The value of the angle 1 radian to a degree is 57.25.
What is a radian?The standard unit of angular measurement used in many branches of mathematics is the radian, indicated by the symbol rad. It is the unit of angle in the International System of Units. Previously, the unit was a SI supplementary unit.
The one radian is equal to the 180 divided by π. So the value of one radian in degree will be calculated as,
1 Radian = 180 / π
1 Radian = 57.25°
Therefore, the value of the one radian in degree is equal to 57.25.
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HELP THIS WAS DUE ALREADY
Answer:
1:4
Step-by-step explanation:
Let's find the ratio of one side of Figure A to one side of Figure B. Note that the have to be the same side on each triangle (Ex: The short side and the short side or the medium length side and the medium length side or the long side and the long side)...
14:56
We can simplify this into...
1:4
Answer:
1 : 4
Step-by-step explanation:
A : B = 14 : 56 = 1 : 4
or
7 : 28 = 1 : 4
0r
16 : 64 = 1 : 4
the angle of depression is measured from the top of a 43 ft tower to a reference point on the ground. its value is found to be 63 degrees. how far is the base of the tower from the point on the ground
The required distance between point on the ground and foot of the tower.
What is the angle of depression?On the off potential for success that an individual has and peers down at an item, the angle of depression is the point between the level view and the item. Geometry can be utilized to take care of issues that utilization a point of rise or sorrow.
According to given data in the question:Height of the tower = 43 ft
And angle of depression = 63 degree
we know that
tan(theta) = P/B
P is height of tower, B distance between tower and point on the ground.
tan(63)= 43/B
B = 43/tan(63)
B = 43/1.96 = 21.93 = 22 ft approx.
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Landon and Eduardo both leave the coffee shop at the same time, but in opposite directions. If Eduardo
travels 9 mph faster than Landon and after 5 hours they are 135 miles apart, how fast is each traveling?
Answer:
Step-by-step explanation:
let the speed of Landon=x
speed of Eduardo=x+9
5x+5(x+9)=135
divide by 5
x+x+9=135/5=27
2x+9=27
2x=27-9
2x=18
x=18/2=9
speed of Landon=9 mph
speed of Eduardo=9+9=18 mph
Consider the function g(x)=−(x−1)^3−2. Which ordered pair lies on the inverse of the function?
(62,−3)
(−4, 123)
(3, 1)
(3,−6)
The ordered pair lie on the inverse of the function is (62,−3).
Option A is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = -(x - 1)³ - 2
The inverse of f(x).
y = -(x - 1)³ - 2
interchange x and y and solve for y.
x = -(y - 1)3 - 2
(y - 1)³ = -2 - x
(y - 1)³ = -(2 + x)
Cuberoot on both sides.
y - 1 = ∛-(2 + x)
y = ∛-(2 + x) + 1
Now,
Substitute in the inverse of g(x).
(62, -3) = (x, y)
(−4, 123) = (x, y)
(3, 1) = (x, y)
(3,−6) = (x, y)
So,
y = ∛-(2 + x) + 1
y = ∛-(2 + 62) + 1
∛-1 = -1
y = -1∛64 + 1
y = -1 x 4 + 1
y = -4 + 1
y = -3
So,
(62, -3) ______(1)
And,
y = ∛-(2 + x) + 1
y = ∛-(2 - 4) + 1
∛-1 = -1
y = ∛(-2 + 4) + 1
y = ∛2 + 1
y = 1.26 + 1
y = 2.26
So,
(-4, 2.26) _______(2)
And,
y = ∛-(2 + x) + 1
y = ∛-(2 + 3) + 1
∛-1 = -1
y = -1∛5 + 1
y = -1 x 1.71 + 1
y = -1.71 + 1
y = -0.71
So,
(3, -0.71) _______(3)
And,
y = ∛-(2 + x) + 1
y = ∛-(2 + 3) + 1
∛-1 = -1
y = -1∛5 + 1
y = -1 x 1.71 + 1
y = -1.71 + 1
y = -0.71
So,
(3, -0.71) ______(4)
Thus,
From (1), (2), (3), (4) we see that,
(62, -3) is the solution to the inverse of g(x).
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the radius of a spherical balloon is increasing at a rate of 4 centimeters per minute. how fast is the volume changing when the radius is 10 centimeters? (round your answer to four decimal places. be sure to choose the correct units.)
The air is filled inside the balloon at the rate of 1600π cm³/sec.
What is termed as the rate of change?The momentum of a variable is represented by the rate of change, which is used to arithmetically define the percentage change in value over a specified period of time.The amount of air blown through will be evaluated in volume per unit of time. That is the rate at which volume changes with respect to time.The rate during which air is blown into the balloon is identical to the rate that the volume of a balloon grows.
Volume of the spherical balloon;
V = (4/3)πr³
Given is dr/dt = 4 cm/sec.
To calculate the volume change with respect to time.
dV/dt when r = 10 cm.
Differentiate V = (4/3)πr³ with respect to t.
d(V)/dt = (d/dt)(4/3)πr³
dV/dt = (4/3)π. 3r² dr/dt
dV/dt = 4πr² dr/dt
Put the values.
dV/dt = 4π(10)² .(4)
dV/dt = 1600π cm³/sec
Thus, air is filled inside the balloon at the rate of 1600π cm³/sec.
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f(-4)= x^2 + 4
The value of f(-4)
Answer:
f
(
2
)
=
6
Explanation:
To evaluate f(2), substitute x = 2 into f(x).
Step-by-step explanation:
Estimate and then compute the product check that your answer is reasonable
759 x 68
The estimate of the product is reasonable
How to estimate and then compute the product check that your answer is reasonable?The product expression is given as
759 x 68
As an estimate, we have
759 - 760
68 = 70
So, we have:
759 x 68 = 760 * 70
Evaluate the product
759 x 68 = 53200
For the actual product, we have
759 x 68 = 51612
The estimate and the actual product both approximate to 50000
Hence, the estimate of the product is reasonable
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A hairstylist charges $15 for an adult haircut at nine dollars for a child haircut she wants to earn at least $360 and cut a maximum of 30 haircut this week the graph represents the hairstylist constraints
Answer:10 adult and 20 children
Step-by-step explanation:
The two inequalities for the given situation are x+y>30 and 15x+9y≤360.
Given that, a hairstylist charges $15 for an adult haircut at nine dollars for a child haircut she wants to earn at least $360.
What is a inequality?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Let the number of adults be x and the number of child be y.
So, x+y>30
Now, 15x+9y≤360
⇒ 3(5x+3y)≤360
⇒ (5x+3y)≤120
From the graph we can see that, two graphs intersecting at (15, 15)
Therefore, the two inequalities for the given situation are x+y>30 and 15x+9y≤360.
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Divide - 4 : - 16.
А - 4
1
В
1
4.
Step-by-step explanation:
is this -4/-16 ?
the correct answer is 1/4.
I guess this would be B, but I am not sure, because there is missing information and typos everywhere.
Kate places greeting cards from two different companies on a display rack that can hold up to 90 cards. She
has agreed to display at least 40 of company a's cards on the rack and at least 25 of company b's cards.
kate makes a profit of $0. 30 on each card she sells from company a and $0. 32 on each card she sells from
company b.
To get the maximum profit, Kate should display as many cards from company B as possible, since she makes a higher profit from those cards.
Let x be the number of cards from company A and y be the number of cards from company B.
The constraints are:
x + y ≤ 90 (the display rack can hold up to 90 cards) x ≥ 40 (at least 40 of company A's cards must be displayed) y ≥ 25 (at least 25 of company B's cards must be displayed)The objective function is:
P = 0.30x + 0.32y (the profit from selling the cards)
To maximize the profit, we need to maximize the value of y. Since the display rack can hold up to 90 cards, we can set y = 90 - x.
Substituting this into the objective function:
P = 0.30x + 0.32(90 - x)
P = 0.30x + 28.8 - 0.32x
P = -0.02x + 28.8
To maximize P, we need to minimize x. Since x must be at least 40, we can set x = 40.
Substituting this back into the objective function:
P = -0.02(40) + 28.8
P = 28
So the maximum profit Kate can make is $28, by displaying 40 cards from company A and 50 cards from company B.
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PLS HELPPP
What is the solution to this system of equations?
x + y - 2z = 2
3x + 3y - 6z = 6
-2x - 2y + 4z = -4
Answer: infinitely many solutions
Step-by-step explanation:
Let's see what we have here. We have:
x + y - 2z = 2
3x + 3y - 6z = 6
-2x -2y + 4z = -4
Upon looking further we can see that all the equations are the same. When we multiply the first one by 3 we get the second equation. And when we multiply the first one by -2 we get the third equation. Therefore there are infinitely many solutions.
(Make sure to check this because I am still a beginner)
Mrs. Williams is deciding between two field trips for her class. The Science Center charges $125 plus $3 per student. The Dino Discovery Museum simply charges $8 per student. For how many students will the Science Center charge less than the Dino Discovery Museum?
Answer:
25 students
Step-by-step explanation:
Mrs. Williams is deciding between two field trips for her class. The Science Center charges $125 plus $3 per student. The Dino Discovery Museum simply charges $8 per student. For how many students will the Science Center charge less than the Dino Discovery Museum?
when students = x:
SC = 3x + 125
DD = 8x
equation:
3x + 125 < 8x
subtract 3x from both side:
3x + 125 - 3x < 8x - 3x
125 < 5x
divide both sides by 5:
125/5 < 5x/5
25 < x
so there would have to be 25 students
According to a report for veterinarians in the united states, 36. 5 percent of households in the united states own dogs and 30. 4 percent of households in the united states own cats. If one household in the united states is selected at random, what is the probability that the selected household will own a dog or a cat?.
What is the inverse of the function g(x)=5(x-2)
Answer:
\(\frac{x-2}{5}\)
Step-by-step explanation:
The inverse function of the function g(x)=5(x-2) is g(x)⁻¹= [( x/5 )+2 )].
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The inverse function is calculated as:-
y = 5 ( x - 2 )
Replace the variables with each other in the equation.
x = 5 ( y - 2 )
( x/5 ) = y - 2
y = ( x/5 ) + 2
Therefore, the inverse function of the function g(x)=5(x-2) is g(x)⁻¹= [( x/5 )+2 )].
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hamood spelled backwards is hamood also let me know if u want my account by 12 AM PDT 6/2/21
Answer:
yo congratulations on finishing 10th grade (congratulate me on finishing 8th)
hamood spelled backwards is doomah so...um...
also do u mean 7/2/21..bc 6/2/21 is like in June and we're in July
i need help on this aswell
Answer:
Graph C
Step-by-step explanation:
Hi there!
The given linear equations are organized in slope-intercept form: \(y=mx+b\) where m is the slope of the line and b is the y-intercept, or the value of y when the line crosses the y-axis.
y = 2x + 4
Here, the b value is 4. Therefore, the y-intercept of this line is 4.
y = -3x - 2
Here, the b value is -2. Therefore, the y-intercept of this line is -2.
To identify the graph that models these equations, we just have to look for the graph where the lines cross the y-axis at 4 and -2.
The only graph that does this is graph C.
I hope this helps!
Reggie plans to have a garden with 36 plants. He wants the ratio of tomato plants to cucumber plants to be 4:5. How many cucumber plants will be in Reggie's garden?
Answer:
20
Step-by-step explanation:
Total no of plants in a garden = 36
The ratio of tomato plants to cucumber plants to be 4:5.
Let tomato plants are 4x and cucumber plants is 5x.
ATQ,
4x+5x=36
9x = 36
x = 4
For cucumber plant, 5x = 5(4) = 20
So, there are 20 cucumber plants will be in Reggie's garden