Answer:
1. equation: y = 7x, missing = 35
2. equation: y = x - 5, missing = 1
3. equation: y = 1/2x, missing = 2
4. equation: y = x + 4, missing = 15
Step-by-step explanation:
Equation Format: y = mx + b
1.(m) Slope = \(\frac{14-7}{2-1}\)
= 7
14 = 7(2) + b
14 = 14 + b
b = 0
y = 7x + 0
Solve for the missing y:
y = 7(5) + 0
y = 35 + 0
y = 35
-Chetan K
The length of the longer leg of a 30 60 90 triangle is 6. The hyp is 9.
State the solution in Simple Root Form:
State the solution to the nearest tenth:
Step-by-step explanation:
there is something severely wrong with the problem definition.
when the Hypotenuse = 9, there is no 30-60-90 triangle with a leg = 6.
and when we are just focusing that this is a right-angled triangle with the Hypotenuse = 9, then 6 cannot be the longer leg.
it is also not clear what the solution is supposed to be. the 2nd leg ? the area ? the perimeter ? the height(s) ? ...
what ?
so, all I can do here is to show you why I said what I said :
30-60-90 triangle with Hypotenuse = 9
then the longer leg is opposite of the 60° angle and therefore sin(60)×9 = 7.794228634...
the shorter leg is opposite of the 30° angle and therefore sin(30)×9 = 0.5×9 = 4.5
a right-angled triangle with Hypotenuse = 9, one leg = 6 gives us per Pythagoras for the other leg
9² = 6² + leg²
81 = 36 + leg²
45 = leg²
leg = sqrt(45) = 6.708203932...
so, you see, as stated above, there is no leg with the length 6 in such a 30-60-90 triangle.
and in a more general right-angled triangle, if one leg = 6, then the other leg is actually longer.
therefore, there is everything wrong with the problem definition.
16/20 as a percent 6th grade
Answer:
80 percent
Step-by-step explanation:
Answer:
80%
Step-by-step explanation:
it is the correct answer
how to solve 893.76 divided by 0.21
Answer:
4256 hehe your welcome
Answer:
4,256?
Step-by-step explanation:
i don't know if I'm right
How do you figure this out
First graph
The vertex: (1, -10)
Domain: all real numbers
Range: all real numbers greater than -10
zeroes: 2
Axis of symmetry: x = 1
Y- intercept: (0, -10)
second graph
The vertex: (-1, 0)
Domain: all real numbers
Range: all real numbers less than 0
zeroes: 1
Axis of symmetry: x = -1
Y- intercept: (0, -3)
How to find the vertex of a parabolic function?The vertex is the summit of the curve at this point the curve bends and values either start to increase or decrease
The points are trace using the graph. the x values of the vertex gives the axis of symmetry
The axis of symmetry is the line that shares the curve into two equal parts
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Mary Lou Mason purchased baby bottles for $4.56, baby formula for $12.45, and a pacifier for $2.13. For all purchases she must pay the state sales tax of 6.5 percent and the county tax of 1.5 percent. What is the tax on her purchases? Show all of your work.
Mary Lou Mason's total taxes on her purchase would be $1.37.
What are taxes?Taxes are mandatory payments to the government that are used to fund public services such as infrastructure, education, and health care. Taxes can be direct, such as income taxes, or indirect, such as sales taxes.
Mary Lou Mason's total purchase was $19.14.
To calculate the total taxes for her purchase, we can use the following formula:
Tax = (State Sales Tax %) x (Total Purchase) + (County Tax %) x (Total Purchase)
Therefore, the total taxes for Mary Lou Mason's purchase would be:
Tax = (6.5%) x ($19.14) + (1.5%) x ($19.14)
Tax = (0.065 x 19.14) + (0.015 x 19.14)
Tax = 1.24 + 0.13
Tax = $1.37
Mary Lou Mason's total taxes on her purchase would be $1.37.
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Determine if the two expressions are equivalent and explain your reasoning 9a + 12 and 3(3a + 4)
Answer:
They are equivalent
Step-by-step explanation:
\(3(3a+4) = 3(3a)+(3)(4) = 9a+12\)
Explanation: if you distribute the 3 to the formula within the parenteses, you will get the same equation as 9a+12
mathematics
in a survey of 150 grade six student it was noted that 80 students have laptop 110 students have cellphones 125 students have ipods 62 students have both laptops and phones 58 students have both laptop and ipods 98 etudent have both ipods and cell phones 50 students have all three items
Answer:
I think it's 476 students have gadgets
Volume shhdudjdkdidj
Jake whittles little wooden figurines and begins to sell them. If the demand function for his figurines is given by
D(q) = 80 - 1.25q and the supply function is S(q) = 0.75g
what is the equilibrium quantity?
If Jake whittles little wooden figurines and begins to sell them. If the demand function for his figurines is given by D(q) = 80 - 1.25q and the supply function is S(q) = 0.75g. The equilibrium quantity is 40 units.
How to find the equilibrium quantity?Given the demand function D(q) = 80 - 1.25q and the supply function S(q) = 0.75q, we can find the equilibrium quantity by setting these two functions equal to each other and solving for q:
D(q) = S(q)
80 - 1.25q = 0.75q
Simplifying this equation, we get:
2q = 80
q = 40
Therefore, the equilibrium quantity is q = 40. At this quantity, the quantity demanded is:
D(q) = 80 - 1.25q = 80 - 1.25(40) = 30
And the quantity supplied is:
S(q) = 0.75q = 0.75(40) = 30
Thus, the equilibrium quantity of Jake's wooden figurines is 40 units.
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find the area of the parallelogram
Answer:
A=base×height
A=20×60
A=1,200yd
what are functions in math
The temperature in Mrs. Cagle's room was -14°F yesterday, but it rose 8°F today. What is the
new temperature today?
answer this now please :)
9514 1404 393
Answer:
E. 384 cu ft
Step-by-step explanation:
The sum of length and width is half the perimeter, so the width is ...
(40/2) -12 = 8 . . . feet
The depth is half that, so is 8/2 = 4 feet.
The volume is ...
V = LWH = (12 ft)(8 ft)(4 ft) = 384 ft³
Find the equation of the line.
Use exact numbers.
Answer:
Step-by-step explanation:
Draw an angle in standard position with the given measure. 8/3 π
The asterisk (*) represents the vertex of the angle, the initial side is the positive x-axis, and the terminal side is the red line segment that forms an angle of 8/3 π with the positive x-axis.
What is the standard position of angles?
Standard position simply means that the vertex of the angle is at the origin of the circle and that one ray of the angle is on the positive x-axis. The other ray of the angle is placed at the angle measure formed by traveling counter-clockwise along the circle.
To draw an angle in standard position with measure 8/3 π, follow these steps:
Start with the positive x-axis.
Counterclockwise, rotate the initial side of the angle until it coincides with the positive x-axis.
Starting from the initial side on the positive x-axis, rotate the terminal side of the angle in a counterclockwise direction until the angle measures 8/3 π.
The resulting angle will have a measure of 8/3 π and will look like the following:
|
|
--------*-----------
|
|
Here, the asterisk (*) represents the vertex of the angle, the initial side is the positive x-axis, and the terminal side is the red line segment that forms an angle of 8/3 π with the positive x-axis.
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the approximate diameter of five planets are listed below.
earth:11,800
saturn:1.2 x 10^4
neptune: 5.0 x 10^3
mars:4800
which lost shows the order from the least diameter to the greatest diameter?
A. Mars, Neptune, Earth, Saturn
B. Mars, Saturn, Neptune, Earth
C. Mars, Earth, Neptune, Saturn
D. Mars, Earth, Saturn, Neptune
Answer:
A. mars, Neptune, earth, Saturn
Step-by-step explanation:
Saturn's diameter is 1.2 × 10^4 which equals 12,000
While Neptune diameter is 5.0 × 10^3 which equals 5000
and so we have all the stats given in the same format and so we can sort them in smallest to biggest as the answer above!
Mr. Greenwood bought 1/2 gallon of milk.His family members drank 3/4 of the milk for breakfast. .How many gallons of milk did they drink?
Answer: 6/8
Step-by-step explanation: this is the answer
What's the solution to the equation?
1/2x+3/2(x+1)-1/4=5
Answer:
15/8 is the answer in fraction form (If you need it in decimal for comment below.)
Step-by-step explanation:
1/2x+3/2(x+1)-1/4=5
1/2x+3/2x+3/2-1/4=5
1/2x+3/2x+ 5/4 = 5
2x+6x+5=20
8x+5= 20
8x=20-5
8x=15
x= 15/8
Hope this helps.
What happens if you can write a function as a composite in different ways? Do you get the same derivative each time? The Chain Rule says you should. Find
dy/dx if y=x by using the Chain Rule with y as a composite of the following functions. Complete parts (a) and (b) below.
Using the Chain Rule, we have: dy/dx = f'(g(x)) * g'(x) = 1 * 1 = 1.The derivative of y with respect to x is 1.
When we compose a function, it may be possible to write it in a variety of different ways. Differentiating such functions can result in different derivatives, but the Chain Rule indicates that the derivatives of the compositions should be the same regardless of how the function is written, if the function is continuous and differentiable.For instance, consider the function f(x) = sin(x²). It can be written as f(g(x)) where g(x) = x² and f(x) = sin(x). Furthermore, it can be written as f(h(x)) where h(x) = x² and f(x) = sin(x). These are both compositions of functions, but they are different compositions that lead to different derivatives.However, if the function is a composite of differentiable functions, the Chain Rule tells us that the derivative of a composite function is the derivative of the outer function multiplied by the derivative of the inner function.
To find dy/dx if y = x using the Chain Rule with y as a composite of the following functions, we must first rewrite y as a composite function: y = f(g(x)) where g(x) = x and f(x) = x. This composite function can be written in a variety of different ways, such as y = f(h(x)) where h(x) = x and f(x) = x, or y = f(k(x)) where k(x) = x and f(x) = x. However, regardless of how we write it, the Chain Rule tells us that the derivative of y is equal to the derivative of the outer function (f(x) = x) multiplied by the derivative of the inner function (g(x) = x).
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One cold night the temperature was 0 degrees at 8 p.m. The temperature dropped at a constant rate from 8 p.m. to midnight. At midnight the temperature was −16.8 degrees.
What was the temperature at 9 p.m.?
Enter your answer in the box. plz help
Answer:
Step-by-step explanation:
the rate is -4.2, so after an hour the temperature would be -4.2 degrees
Answer:
-4.2
Step-by-step explanation:
I took the test on K12 and got 100
4x + y = 16
y = 0.5x -2
Answer:
x = 4, y = 0
Step-by-step explanation:
Help please question in picture
Answer:
220
Step-by-step explanation:
Area of square=8*20=160
Area of triangle=(6*20)/2=60
160+60
Answer:
220 units²
I'm sure this is the answer!
Alan sees this offer refurbished phone 45% offer
Answer:
127.50
Step-by-step explanation:
Answer:
127.50
Step-by-step explanation:
what’s the answer for x
The measure of angle x is 57 degrees.
How to find the value of x?Remember that the sum of the measures of two adjacent angles is always equal to 180°.
Here we can see that the angle x° and 123° are adjacent, then we can write the linear equation:
x + 123° = 180°
Solving the equation for x, we will get.
x = 180° - 123°
x = 57°
That is the value of x.
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The perimeter of a triangle is 49 feet. One side of the triangle is 17 feet shorter than the second side. The third side is 6 feet shorter than the second side. Find the length of each side.
Answer:
7, 24, 18
Step-by-step explanation:
The measure of the three sides of the triangle are 7 feet, 24 feet and 18 feet
What is the perimeter of the triangle?"It is the sum of the all the three sides of the triangle."
For given question,
The perimeter of a triangle is 49 feet.
⇒ P =49 feet
Let 'x' be the length of the second side.
One side of the triangle is 17 feet shorter than the second side.
The first side of the triangle = x - 17
The third side is 6 feet shorter than the second side.
The third side of the triangle = x - 6
Using the formula of perimeter of triangle,
⇒ P = (x - 17) + x + (x - 6)
⇒ 49 = x -17 + x + x - 6
⇒ 49 = 3x - 23
⇒ 3x = 72
⇒ x = 24 feet
So, the first side would be,
x - 17
= 24 - 17
= 7 feet
And the third side of the triangle is,
x - 6
= 24 - 6
= 18 feet
Therefore, the measure of the three sides of the triangle are 7 feet, 24 feet and 18 feet
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Find the length of the midsegment of each trapezoid.
The length of the midsegment of trapezoid is 24 units.
What is Trapezoid ?An open, flat figure with four successive sides and one pair of parallel sides is termed to as a trapezoid or trapezium.
The parallel and non-parallel sides of a trapezium are called as the bases and the legs, respectively. A trapezium may also have parallel legs. The parallel sides can be slanted, vertical, or horizontal.
The altitude is the evaluation of the angle perpendicular to the parallel sides.
Now in the given question,
a = 15
b = 23
length of mid segment EF,
\(l=\frac{a+b}{2} \\\\l=\frac{15+23}{2} \\\\l=\frac{48}{2} \\\\l=24\)
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x2 + 3x - 4 = 6 any one know how to solve this
Answer:
-5,2
Step-by-step explanation:
make one side equal zero, x2 + 3x - 10
use guess and check to reverse foil and find (x+5)(x-2)
solve and get x = -5 , 2
Answer (it has two solutions):
x = -5x = 2I hope this helps!
Determine by composition whether f(x) = 3x + 18 and g(x)=x-6 are inverses of each other.
O No, f(g(x)) + X
O No, f(g(x)) = x
O Yes, f(g(x)) = g(f(x)) = x
O Yes, f(g(x)) = g(f(x)) * x
Thus, (x) = 3x + 18 and g(x)=x-6 are not inverses of each other.
Two function are inverse if they do undo or cancel each other, which means
f and g are inverse if
f(g(x)) = x and g(f(x)) = x
Here, f(x) = 3x + 18 and g(x)=x-6
Lets check by substituting the values in the formula
⇒ f(g(x))
⇒ f(x-6)
⇒ (3x + 18) - 6
⇒ 3x - 12
⇒ x = 4
g(f(x))
⇒ g(3x + 18)
⇒ 3(x-6) + 18
⇒ 3x - 18 + 18
⇒ 3x
⇒ x = 1/3
What is composition maths?A function is composed in mathematics when two functions, f and g, are used to create a new function, h, such that h(x) = g(f(x)). The function of g is being applied to the function of x, in this case. Therefore, a function is essentially applied to the output of another function.
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Determine if the triangles in each pair are similar. If so, write a similarity statement and state whether AAA, SAS, Or SSS
the triangle are congruent by AAA
What is congruent by AAA?
It can also be stated as the AAA (angle-angle-angle) similarity theorem, which states that two triangles have identical corresponding angles if and only if their corresponding sides are proportionate.given, ABC and XYZ, are congruent according to the AAA rule by looking at the image provided below. According to the AAA congruence rule, two triangles are said to be congruent if two of their respective sides and angles are equal to those of two other triangles and their respective sides and angles, respectively.
In the given two triangles,
The ratio of the sides are similar
And hence the angles are similar.
Hence the triangle are congruent by AAA
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A rotating light is located 15 feet from a wall. The light completes one rotation every 4 seconds. Find the rate at which the light projected onto the wall is moving along the wall when the light's angle is 15 degrees from perpendicular to the wall.
To find the rate at which the light projected onto the wall is moving along the wall, we can use trigonometry and calculus. Let's denote the angle between the rotating light and the wall as θ.
Given:
Distance from the light to the wall, r = 15 feet
Rate of rotation, dθ/dt = 1 rotation every 4 seconds
We need to find the rate at which the light's projection moves along the wall, which is represented by dx/dt.
Using trigonometry, we know that the tangent of the angle θ is equal to the ratio of the distance along the wall (dx) to the distance from the light to the wall (r).
tan(θ) = dx / r
Differentiating both sides of the equation with respect to time t, we get:
sec^2(θ) * dθ/dt = dx/dt
Since we are given that the angle θ is 15 degrees, we can substitute the values and solve for dx/dt.
sec^2(15°) * (1 rotation / 4 seconds) = dx/dt
Simplify and calculate the value to find the rate at which the light's projection moves along the wall in feet per second.
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