Answer:
It is the value of the coin when it was originally purchased. t=0 y=3
Step-by-step explanation:
The y intercept is the value when t=0
It is the value of the coin when it was originally purchased. y=3
CLASS- 9 HERON'S FORMULA
1) find the area of an equilateral trimgle whose perimeter is 60cm
Answer:
see below
Step-by-step explanation:
if its perimeter is 60 each side is 60/3 = 20.
Its height will be 10√3 so area is 20 * 10√3 / 2 = 100√3
i really dont understand what to do here if you can please help
Answer:
see below
Step-by-step explanation:
The two angles form a straight line so they add to 180 degrees
5x+60 + 3x-40 = 180
Combine like terms
8x +20 = 180
Subtract 20 from each side
8x+20-20=180-20
8x= 160
Divide by 8
8x/8=160/8
x=20
5x+60 = 5*20+60 = 160
3x-40 = 3*20-40 = 20
A line has x-intercept -8 and y-intercept 5. Determine the slope of a line perpendicular to this line.
Answer:
- 8/5
Step-by-step explanation:
A line has x-intercept -8 and y-intercept 5.
It means the line has passes through:
(-8, 0) and (0, 5)Slope as per slope formula:
m = (y2-y1)/(x2-x1) m = (5 - 0)/(0 + 8) = 5/8Perpendicular lines have slopes negative reciprocal to each other
So the slope of the perpendicular line is:
m = -1/(5/8) = - 8/5For cones with radius 6 units, the equation =12ℎ V = 12 π h =12ℎ V = 12 π h relates the height ℎ h ℎ h of the cone, in units, and the volume V V of the cone, in cubic units.
Answer:
Step-by-step explanation:
The question is not properly structured. Here is the complete question.
For cones with radius 6 units, the equation V=12\pi h relates the height h of the cone, in units, and the volume V of the cone, in cubic units. Sketch a graph of this equation on the axes.
The formula for calculating the volume of a cone is expressed as shown;
[tex]V = \frac{1}{3} \pi r^{2} h[/tex] where r is the radius and h is the height.
Given radius r = 6units, on substituting;
[tex]V = \frac{1}{3}*\pi *6^{2}*h\\ V = \frac{36\pi h}{3}\\V = 12\pi h... (1)[/tex]
It can be seen from the derived volume of the cone that it is linear in nature. The volume of the cone has a linear relationship with its height. As the volume increases, the height also increases and vice versa.
Generally for a direct variation
[tex]if\ y\ \alpha x \ \\y = kx[/tex]
where k is the constant of proportionality. comparing to equation 1, k = 12π.
Find the graph attached
ALL YOU NEED TO DO IS DRAW THIS!!!!! Circle ω1 with center K of radius 4 and circle ω2 of radius 6 intersect at points W and U. If the incenter of 4KW U lies on circle ω2, find the length of W U. (Note: The incenter of a triangle is the intersection of the angle bisectors of the angles of the triangle)
Answer:
WU = (14√13)/13 ≈ 6.6564
Step-by-step explanation:
Call the incenter of ∆KWU point A. Call the center of circle ω2 point B.
Then ∠KWA has half the measure of arc WA. ∠AWU is congruent to ∠KWA, so also has half the arc measure. That is, ∠KWU has the same measure as arc WA and ∠KBW.
KB is a perpendicular bisector of chord WU, so ∆KWB is a right triangle, of which WU is twice the altitude to base KB.
The length of KB can be found several ways. One of them is to use the Pythagorean theorem:
KB² = KW² +WB² = 4² +6² = 52
KB = √52 = 2√13
The area of triangle KWB is ...
area ∆KWB = (1/2)KW·WB = (1/2)(4)(6) = 12 . . . . square units
Using KB as the base in the area calculation, we have ...
area ∆KWB = (1/2)(KB)(WU/2)
12 = KB·WU/4
WU = 48/KB = 48/(2√13) = 24/√13
WU = (24√13)/13 ≈ 6.6564
Which graph represents y = -2x
Answer: Second Option, with a downward trend from left to right.
Step-by-step explanation:
We just have to find a graph that matches up with a slope of -2 or a rise/run of -2/1.
The graph represented by y = -2x is the graph in option B.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The equation, y = -2x is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
In the graph attached with the answer below it is observed that the line y = -2x is passing from the origin and covering the second and the fourth quadrant of the coordinate axis x and y.
It is also observed that the line y = -2x is passing from the point (0,0) then the y-intercept is zero for the equation.
Therefore, the graph represented by y = -2x is the graph in option B.
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The table shows the gallons of fuel remaining after a car
travels a certain distance in miles.
Distance
Fuel Remaining
(miles)
(gallons)
0
13.50
The change in fuel remaining from one row to the next
in the table is V gallon(s).
The change in distance from one row to the next in the
table is v mile(s).
The slope of the line that runs through the points given
in the table is
The slope indicates a
1
13.46
2
13.42
3
13.38
4
13.34
5
13.30
Answer: the answer is -0.04 ,1 ,-0.04 ,loss of 0.04 gallons of fuel for every 1 mile
Step-by-step explanation:
From the given table we can noticed that the fuel remaining (gallons) decreases as distance (miles).
It is clear that the distance increases by 1 mile for each next row and the remaining fuel is changed for each next row
The change in fuel remaining from one row to the next in the table is -0.04 gallons.
1) The change in fuel remaining from one row to the next in the table is -0.04 gallons.
2) The change in distance from one row to the next in the table is 1 mile.
3) The slope of the line that runs through the points given in the table is -0.04.
4) The slope is -0.04 it means the remaining fuel decreases by 0.04 gallons in each mile.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now,
From the given table we can noticed that the fuel remaining (gallons) decreases as distance (miles).
Hence, It is clear that the distance increases by 1 mile for each next row and the remaining fuel is changed for each next row is,
⇒ 13.46 - 13.50
⇒ - 0.04
Thus, The change in fuel remaining from one row to the next in the table is -0.04 gallons.
And, The change in distance from one row to the next in the table is 1 mile.
Hence, The slope is the rate of change of remaining fuel with respect to change in distance is,
⇒ m = - 0.04/1
⇒ m = - 0.04
Thus, The slope of the line that runs through the points given in the table is -0.04.
And, The slope indicates a Change in the fuel remaining in each mile. The slope is -0.04 it means the remaining fuel decreases by 0.04 gallons in each mile.
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simplify √x^2+6x+9 if x≥3
Answer:
simplified expression for √x^2+6x+9 if x≥3
is x+3
Step-by-step explanation:
[tex]\sqrt{x^2+6x+9} \\=>\sqrt{x^2+3x+3x+9} \\=>\sqrt{x(x+3)+3(x+3)} \\=>\sqrt{(x+3)(x+3)} \\=>\sqrt{(x+3)^2}\\=>(x+3) \ or -(x+3)[/tex]
but given that x≥3
then we have to negate solution -(x+3)\
Then simplified expression for √x^2+6x+9 if x≥3
is x+3
What is the area of the parallelogram?
6
5
4
Step-by-step explanation:
A=base length × height
if base is 6cm, and h 4 cm, multiply
6×4=24cm2
x-3/5 = y-7/2
11x=13y
Answer:
y = -319/20| x = 377/20
Step-by-step explanation:
/| 7/2-x-y-(3/5) = 0| -11*x-(13*y) = 0
We try to solve the equation: 7/2-x-y-(3/5) = 0
29/10-x-y = 0 // - 29/10-x
-y = -(29/10-x) // * -1
y = 29/10-x
We insert the solution into one of the initial equations of our system of equations
We get a system of equations:
/| -(13*(29/10-x))-11*x = 0| y = 29/10-x
-1*13*(29/10-x)-11*x = 0
2*x-377/10 = 0
2*x-377/10 = 0 // + 377/10
2*x = 377/10 // : 2
x = 377/10/2
x = 377/20
We insert the solution into one of the initial equations of our system of equations
For y = 29/10-x:
y = 29/10-377/20
y = -319/20
We get a system of equations:
/| y = -319/20| x = 377/20
URGENT I NEED HELPPP
Answer:
Step-by-step explanation:
The only valid expression from the given list is the one that uses the arctangent ([tex]tan^{-1}(0.75)[/tex] ) function.
Recall that the tangent of an acute angle in a right angle triangle is defined as:
[tex]tan(B)=\frac{opposite}{adjacent}[/tex]
therefore in our case we have:
[tex]tan(B)=\frac{opposite}{adjacent} \\tan(B) = \frac{12}{16} \\tan(B)=0.75\\B=arctan(0.75)[/tex]
Determine the constant of variation for the direct variation given.
2
1
1/2
Answer:
1/2
Step-by-step explanation:
The constant of variation is the same as the slope. From the graph, the slope is 1/2.
Answer:
I believe the answer is 2
Part 1= You are shopping for a shirt, and you want to get the best deal. You go to two stores, the first of which is JCPenney. What is the cost of the shirt at JCPenney?
Part 2=The second store you go to is Macy's. What is the cost of the shirt at Macy? *
Part 3=Which store has the better deal? *
A- Macy's
B- JCPenney
Answer:
Macy’s
Step-by-step explanation:
let’s find the cost of each shirt
JCPenny’s: 14.99 x 0.80 = $11.99
11.99 x 1.06 = $12.70
The final cost of the JCPenny shirt is $12.70
Macy’s: 17.99 x 0.65 = $11.69
11.69 x 1.07 = $12.51
The final cost of the Macy’s shirt is $12.51
$12.51 is less than $12.70
So, the Macy’s shirt is the better deal :)
One eighth of the students in
the class are in the school band.
What fraction of the total number
of students are not in the band?
Answer:
7/8 aren't in the school band
Triangle ABC is translated according to the rule (x, y) → (x + 2, y – 8). If the coordinates of the pre-image of point B are
(4, –5), what are the coordinates of B'?
Answer:
B'(6,-3)
Step-by-step explanation:
Answer:
its B on edgenuity
Step-by-step explanation:
how do i do this? i’m having trouble
Answer:
121
Step-by-step explanation:
5x-54=3x+16
5x-3x=16+54
2x=70
x=35
-------
mAB= 5x-54= 5*35-54= 175-54= 121
Does anyone have snap???????? Need faster answrs !!!!!
Here it is plz dont judge i had it for a long time: Cool_fam7
uwu plz text me i get bored a lot
Analyze the graph below and answer the question that follows. / What is the angle of rotation from RST to R'S'T' ? Assume that the center of rotation is the origin. A. 180° clockwise B. 90° clockwise C. 90° counterclockwise D. 270° counterclockwise
Answer:
C
Step-by-step explanation:
This could be either 90° counterclockwise or 270° clockwise but the latter is not an option so the answer is C.
Answer:
d
Step-by-step explanation:
If triangle ABC is congruent to triangle DEF, then BC is congruent to DE.
False
True
Answer: False
Step-by-step explanation:
If ABC is congruent to DEF, then BC is congruent to EF.
And A would be congruent to D.
Homework help, one of the few I have
Answer:
x=11 solution is not extraneous
Step-by-step explanation:
sqrt( x-5) +7 = 11
Subtract 7 from each side
sqrt( x-5) +7-7 = 11-7
sqrt(x-5) = 4
Square each side
(sqrt(x-5))^2 = 4^2
x-5 = 16
Add 5 to each side
x-5+5 = 16+5
x = 21
Check
sqrt( 21-5) +7 = 11
sqrt(16) +7 =11
4+7 =11
11=11
Valid solution
Answer:
B) x = 21, solution is not extraneous
Step-by-step explanation:
√(x - 5) + 7 = 11
(√(x - 5) + 7) - 7 = 11 - 7
√(x - 5) = 4
(√(x - 5))² = (4)²
x - 5 = 16
(x - 5) + 5 = 16 + 5
x = 21
The solution is not extraneous. An extraneous solution is a solution that is not included in the domain. For this equation the domain would be [-5, ∞). The solution found is included in the domain
PLEASE ANSWER THIS MATH QUESTION !! THANK U !! 19 POINTS AND BRAINLIEST !!
Answer:
a
Step-by-step explanation:
the side x looks smaller than 8 m.
The only option smaller than 8 m is a, 5.2 m
Which expression is equal to f(x)/g(x)
Answer: i'd say c
Step-by-step explanation:
Which is a y-intercept of the graphed function?
(-9.0)
(-3.0)
(0, -9)
(0.-3)
Answer: (0,-9)
Step-by-step explanation:
(0,-9) is the y-intercept because it is the point at which the function crosses the y-axis.
If 3/x=5/y, what is the value of y/x?
Answer:
5/3
Step-by-step explanation:
multiply the whole thing by y to get 3y/x=5 and then divide by 3 to get y/x=5/3
Answer:
y/x=5/3
Step-by-step explanation:
3/x=5/y ⇒ y/x=5/3 replacing y with 3
PLEASE SOMEONE HELP ME ON 4,5, AND 6 ASAP.
Answer:
see below
Step-by-step explanation:
4. If ∠AYX = 25.5° that means that ∠XYZ = 25.5 * 2 = 51° because YA is the angle bisector.
5. If ∠XYZ = 64°, ∠AYZ = 64 / 2 = 32°.
6. You can construct ∠P and PQ by using a protractor. I'm not sure how to attach an image so I'll just tell you the answer I got for c which is about 3 cm.
Someone help me :)
What is the volume, to the nearest tenth of a cubic inch, of the cylinder I punto
shown below?
3 m
6 m
A 339.1
B 56.5
O C 169.6
D 27.1
please explain how to do this
Answer:
61%
Step-by-step explanation:
Area of square:
=a²
=12²
=144
Area of two quarter circles:
=2(¼×π×r²)
=2(¼×π×6²)
=2×28.72
=56.55
Finding the percentage:
=(56. 55÷144)×100
=0.3937×100
=39.27
subtract 100% by 39.27% to find the percentage of how much is shaded
=100-39.27
=60.73
=61 (rounded off to the nearest whole percent)
Marvin the fly starts at $(0,0).$ Each step, Marvin moves one unit right or one unit up. He is trying to get to the point $(5,7)$. However, at $(4,3)$ there is a frog that will eat him if he goes through that point. In how many ways can Marvin reach $(5,7)$?
Answer:
The answer is "728 routes"
Step-by-step explanation:
The number of ways to proceed from (0, 0) to (5, 7) is as follows:
[tex]\Rightarrow \frac{(7+5)!} {(7! \times 5!)} \\\\ \Rightarrow \frac{12!}{(7! \times 5! )}\\\\\Rightarrow \frac{12 \times 11 \times 10 \times 9 \times 8 \times 7!}{7! \times 5!}\\\\\Rightarrow \frac{12 \times 11 \times 10 \times 9 \times 8}{5!}\\\\\Rightarrow \frac{12 \times 11 \times 10 \times 9 \times 8}{5\times 4 \times 3 \times 2 \times 1}\\\\\Rightarrow \frac{ 11 \times 9 \times 8}{1}\\\\\Rightarrow 11 \times 9 \times 8\\\\\Rightarrow 11 \times 72\\\\\Rightarrow 792[/tex]
We would like to delete the ways of (0, 0) to (2, 3) That's the resolution:
[tex]\Rightarrow \frac{(3+2)!}{(3!\times2!)} \\\\ \Rightarrow \frac{5!}{(3!\times2!)} \\\\\Rightarrow \frac{5\times 4\times 3! }{(3!\times2 \times 1)} \\\\\Rightarrow \frac{5\times 4}{(2 \times 1)} \\\\\Rightarrow \frac{5\times 2}{1} \\\\\Rightarrow 10 \ ways[/tex]
[tex]So, \\\\ \Rightarrow 792 -10 \\\\ \Rightarrow 782 \ routes[/tex]
Si un número de dos cifras se disminuye en 17 y esta diferencia se divide por la suma de sus cifras, el cociente es 5, y si el número disminuido en 2 se divide por la cifra de las unidades disminuida en 2, el cociente es 19 . Hallar el número.
Resolviendo un sistema de ecuaciones, veremos que el número de dos cifras es 97.
¿Como encontrar el sistema de ecuaciones?
Podemos escribir un número de dos cifras como:
a*10 + b
Donde a y b son dos numeros de una cifra.
Entonces podemos escribir las restricciones:
"Si un número de dos cifras se disminuye en 17 y esta diferencia se divide por la suma de sus cifras, el cociente es 5"
((a*10 + b) - 17)/(a + b) = 5
"si el número disminuido en 2 se divide por la cifra de las unidades disminuida en 2, el cociente es 19"
(a*10 + b - 2)/(b - 2) = 19
Entonces tenemos un sistema de ecuaciones, que vamos a escribir como:
a*10 + b - 17 = (a + b)*5
a*10 + b - 2 = 19*(b - 2)
Donde pase los denominadores a la derecha, así es más simple de leer.
Para resolver esto, primero debemos simplificar ambas ecuaciones, vamos a obtener:
a*10 + b - 17 = a*5 + b*5
a*10 + b - 2 = 19*b - 38
Moviendo los terminos con variables a la izquierda y los constantes a la derecha:
a*10 + b - a*5 - b*5 = 17
a*10 + b - 19*b = -38 + 2
Terminamos de simplificar:
a*5 - b*4 = 17
a*10 - b*18 = -36
Ahora debemos aislar una de las variables en una de las ecuaciones, vamos a aislar a en le primera:
a = (17 + b*4)/5
Ahora reemplazamos esto en la otra ecuación y resolvemos para b:
10*(17 + b*4)/5 - b*18 = -36
2*(17 + b*4) - b*18 = -36
34 + b*8 - b*18 = -36
34 - b*10 = -36
-b*10 = -34 - 36 = -70
b = -70/-10 = 7
Para encontrar el valor de a usamos la ecuación:
a = (17 + b*4)/5 = (17 + 7*4)/5 = 9
Entonces podemos concluir que el número es 97.
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Which of the following expressions is equal to x^2+16?
A. (x + 4i)(x-4i)
B. (x +4i)^2
C. (x-4i)^2
D. (x + 2i)(x - 8i)
Answer:
A
Step-by-step explanation:
x² + 16 = 0
x² = - 16
x² = i² * 4² {i² = -1}
x² = (4i)²
x=√(4i)²
x=±4i
x² + 16 = (x + 4i)(x - 4i)