Answer:
A
Step-by-step explanation:
Trust
The correct equation is,
⇒ y = 12,400 - 820r
And, Amount for 7 years is, $6,660
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
We have to given that;
Here, your truck has an initial value of $12,400 depreciates $820 per year.
Let number of years = r
Hence, We get the correct equation is,.
⇒ y = 12,400 - 820r
So, For r = 7 years;
⇒ y = 12400 - 820 x 7
⇒ y = 12400 - 5740
⇒ y = $6,660
Thus, The correct equation is,
⇒ y = 12,400 - 820r
And, Amount for 7 years is, $6,660
Learn more about the equation of line visit:
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Which is equal to 2√2 ? Select all that apply.
A. sin 30°
B. sin 45°
C. cos 45°
D. cos 60°
E. tan 30°
F. tan 45°
Answer:
B and C
Step-by-step explanation:
Sin 45 or Cosine 45.
The trigonometric ratios that Garret could use to describe the relationship between these two sides are sin 30°and cos 60°.
What are Trigonometric Ratios?Trigonometric ratios are the ratios which is described for two sides of a right angled triangle.
The main three trigonometric ratios are sine, cosine and tangent functions.
here, we have,
Given that,
Garret makes a ramp for his skateboard in the shape of a right triangle.
Also given that,
length of the hypotenuse = 2 feet
Length of a leg = 1 feet
Using Pythagoras theorem,
Length of other leg = √(2² - 1²) = √3
45°-45°-90° triangle ratio is 1 : 1 : √2.
30°-60°-90° triangle ratio is 1 : √3 : 2.
Given triangle has the side ratio 1 : √3 : 2. So this is a 30°-60°-90° triangle.
The trigonometric ratio used must include the hypotenuse.
So sin and cos can only be used.
Hence the trigonometric ratios used are sin 30°and cos 60°.
Learn more about Trigonometric Ratios here :
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Complete question:
Garret makes a ramp for his skateboard in the shape of a right triangle with a hypotenuse of 2 ft, and a leg of 1 ft. He wants to use a trigonometric ratio to describe the relationship between these two sides. Select all of the expressions that he could use.
A. sin 30°
B. cos 45°
C. tan 30°
D. sin 45°
E. cos 60°
F. tan 45°
One angle of a right triangle measures 8º. What is the measure of the other acute angle?
In a school election, 100 students submit ed a ballot voting for either Patrick or Britney. After counting all the votes, Britney received 56 more votes than Patrick. How many students voted for Patrick?
Answer:
22 students
Step-by-step explanation:
Create a system of equations where p is the number of students that voted for Patrick, and b is the number that voted for Britney
p + b = 100
b = p + 56
Solve by substitution by plugging in p + 56 as b in the first equation
p + b = 100
p + p + 56 = 100
Solve for p:
2p + 56 = 100
2p = 44
p = 22
So, 22 students voted for Patrick
Patrick sold 22 ballots.
22+56=78
22+78=100
the ravens scored 1 touchdown and an extra point . how many total points did they score
Un albañil pone azulejos a una pared de 6 m de largo y 2,4 m de alto.Los azulejos son cuadrados de 20 cm de lado
Pregunta completa:
Un albañil pone azulejos a una pared de 6 m de largo y 2,4 m de alto. Los azulejos son cuadrados de 30 cm de lado. ¿Cuants, cajas tendra que comprar si en una caja hay 25 azulejos? Con procedimiento.
Respuesta:
160 tejas
7 cajas
Explicación paso a paso:
Dimensión de la pared = 6 m por 2,4 m
Área de la pared = 6 m * 2,4 m
Área de la pared = 14,4 m²
Longitud lateral, s de teja cuadrada = 30 cm = 0,3 m
Área de la loseta cuadrada = s² = 0.3² = 0.09m²
Número de baldosas cuadradas necesarias:
14,4 m² ÷ 0,09 m²
= 160 fichas cuadradas
Si hay 25 fichas en una caja;
Número de cajas a comprar:
160/25
= 6,4 ≈ 7 cajas
also need help with this one!!
Mario works at Bluebonnet Ice Cream parior.He earns $87.50 every 7 hours of work.Rachel works at Guadalupe Music Store and earns $39.75 for every 3 hours of work.How does the amount Mario earns per hour compare with the amount Rachel earns per hour?
Answer:
63
Step-by-step explanation:
When ringing up a customer, a cashier needs 10 seconds to process the payment as well as 5.7 seconds to scan each item being purchased. Write an equation that shows the relationship between the items being purchased, p, and the time, t.
Answer: 5.7p + 10
Step-by-step explanation:
From the question, we are given the information that when ringing up a customer, the cashier will need 10 seconds to process the payment and 5.7 seconds to scan every item that are purchased.
The equation that shows the relationship between the items being purchased, p, and the time, t will then be:
= 5.7p + 10
PLEASE HELP!!!! Also if your smart with math can you look at my other posts because I am still really confused and there is more than one question per question post thing... Anyways thank you so much but please don't just put a link..........
Answer:
i,m no smart sorry
Step-by-step explanation:
-6(-3x-3)=6(1+3x) solve
Answer:
x=-0.6
Step-by-step explanation:
-3x-3=-1
-3x=-1+3
-3x=2
x=-2/3
Please help me please
13
Answer:
a
Step-by-step explanation:
That is the only one equipped to this equation
PLS ANSWER QUICKLY MY CLASS SOON!!!
Answer:
y=10
Step-by-step explanation:
y=|x-5|+|x+5|, if -5<x<5
y=10
Find the area of the shape.
Answer:
27π
Step-by-step explanation:
A = πr²
= π(6)²
=36π
You want 3/4 of the circle
(3/4) 36π = 27π
(Score for Question 1: _____ of 5 points)
1. Find the measure of the side indicated (x). Round to the nearest tenth. Show your work to support your
answer.
B
37
11
х
A
Answer:
Answer:
[tex]x = 13.8[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
Find x
To find y, we make use of the relationship between sides lengths 11 & x and angle 37
The relationship is:
[tex]cos(37) = \frac{11}{x}[/tex]
i.e.
[tex]cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]
Make x the subject
[tex]x = \frac{11}{cos(37)}[/tex]
[tex]x = \frac{11}{0.7986}[/tex]
[tex]x = 13.7741[/tex]
[tex]x = 13.8[/tex] -- approximated
Brendan randomly selected 20% of the sophomores in his high school. He asked them to pick one favorite indoor gym activity from four choices. The table shows the survey results. Based on the data, what is the most reasonable prediction of the number of sophomores who would choose kickball as their favorite indoor gym activity?
Answer:
sheep
Step-by-step explanation:
peehs
Help??? The answer I put was an accident and I can’t take it away
Answer:
try clicking on another option?
Ursula picks carrots and radishes from her garden. She picks 4/1/4 pounds of carrots and 1/3/4 pounds of radishes.How many more pounds of carrots does she pick than radishes.
Answer:
2 1/4
Step-by-step explanation:
[tex]4\frac{1}{4} - 1\frac{3}{4}[/tex]
[tex]3\frac{1 - 3}{4}[/tex]
[tex]2\frac{4-3}{4}[/tex] = 21/4
can someone help me on this..
Answer:
step 2
Step-by-step explanation:
Answer:
Step 3
(as a result step 4 is also wrong)
Step-by-step explanation:
22 is wrong
It should be 16 + 18
Entire solution is given below:
[tex]28 \div 7 \times 4 + 18 \\ \\ = 4 \times 4 + 18 \\ \\ = 16 + 18 \\ \\ = 34[/tex]
Imagine the center of the Seattle Great Wheel is located at (0, 0) on a coordinate grid and the radius lies on the x-axis. Write an equation of a circle for the Seattle Great Wheel and then sketch an image of your equation on the graph provided or insert your own graph.
Center is 0,0 and diameter is 175
Answer:(x-0)^2 + (y-0)^2=30^2
Step-by-step explanation:
The equation of the circle is x^2 +y^2 = 7656.25
How to determine the equation of the circle?The given parameters are:
Center = (0,0)
Diameter = 175
The equation of a circle is represented as:
(x - a)^2 +(y - b)^2 = r^2
Where
Center = (a,b) = (0,0)
r = radius = 175/2
So, we have:
(x - 0)^2 +(y - 0)^2 = (175/2)^2
Evaluate
x^2 +y^2 = 7656.25
Hence, the equation of the circle is x^2 +y^2 = 7656.25
Read more about circle equations at:
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Solve for x and show work.
Answer:
17x+4=123(alternate angle)
17x=123-4
17x=119
x=7
How many degrees is arc KM?
Answer:
90 degree
Step-by-step explanation:
because is a lm perpendicular to kn
Solve the system by substitution y=2x-7 -6x+7y=15
HELP PLEASEEEE
Answer:
x=8 y=9
Step-by-step explanation:
Answer:
x
=
−
3
and
y
=
2
.
Solve
x
+
5
y
=
7
for
x
.
x
=
7
−
5
y
Substitute
7
−
5
y
for
x
into the other equation.
2
(
7
−
5
y
)
+
7
y
=
8
=
14
−
10
y
+
7
y
=
8
'
14
−
3
y
=
8
Subtract
14
from both sides.
−
3
y
=
−
6
Divide both sides by
−
3
.
y
=
2
Substitute
2
for
y
in the first equation.
x
+
5
(
2
)
=
7
=
x
+
10
=
7
Subtract
10
from both sides.
x
=
−
3
Check by substituting
−
3
for
x
and
2
for
y
into both equations.
2
x
+
7
y
=
8
=
2
(
−
3
)
+
7
(
2
)
=
8
=
−
6
+
14
=
8
=
8
=
8
Check.
x
+
5
y
=
7
=
−
3
+
5
(
2
)
=
7
=
−
3
+
10
=
7
=
7
=
7
Check.
Sorry if I'm wrong
Bob is throwing a party. He has 222222 pints of soda. At the end of the party, there are 888 pints of soda.
How many cups of soda were drank during the party?
I do not know that that is hard
Answer: Why does this guy need so much soda? And my brain isn't working for math right now. Sorry sweetheart.
Step-by-step explanation: Have a nice day!
f(7)=
g(7)=
The equation for f(x) is
The equation for g(x) is
Answer: f(7) = -128
g(7) = 26
Equation of f(x): f(x)= -11x-51
Equation of g(x): g(x)=3x+5
Step-by-step explanation:
Rate of change of a function: [tex]\dfrac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
From the table. Rate of change in f(x)= [tex]\dfrac{f(1)-f(0)}{1-0}=\dfrac{-62+51}{1}=-11[/tex]
Rate of change in g(x)= [tex]\dfrac{g(1)-g(0)}{1-0}=\dfrac{8-5}{1}=3[/tex]
Also, the rate of change throughout the function is the same, hence both are linear functions.
Equation of linear function: [tex]f(x)=mx+c[/tex], where m= rate of change of function, c = f(x) at x=0.
From table, f(0)= -51 , g(0)=5
Equation of f(x): f(x)= -11x-51
Equation of g(x): g(x)=3x+5
f(7) = -11(7)-51 = -77-51 = -128
g(7) = 3(7)+5 = 21+5 = 26
f(7) = -128
g(7) = 26
Applying Math
4. Explain Look at the
problem about the jogger.
Why does (3 m/s)
become (9 m/s2)?
Someone please solve this today!!
Please show work !
Also don’t waste your time sending that link that hacks you :/
Answer:
D
Step-by-step explanation:
bx -b -ax +a
collect like terms
bx - ax. + a - b
x(b-a) + b +a
Help this is due in 2 minutes
The mulraneys hired a contractor to build an addition to their home. The contractor proposed a rectangular room with a perimeter of 50 feet. The mulraneys asked the contractor to change the perimeter to 60 feet by increasing both he length and the width by the same distance. By how many feet did the mulranys ask the contractor to increase the length of the room?
A rectangular prism is 12 feet long, 8 feet wide and 11 feet tall. What is the
surface area? *
192
440
632
O
1056
Answer:
632 square feet
Step-by-step explanation:
Surface area of the prism = 2(lw+wh+lh)
L is the length = 12feet
w is the width = 8feet
h is the height = 11feet
Substitute
S = 2(12*8 + 12*11 + 8*11)
S = 2(96+132+88)
S = 2(316)
S = 632 square feet
Hence the surface are of the prism is 632 square feet
-8x+14≥60 or -4x+50<58
Answer: x ≤ −23/4 or x> -2
Step-by-step explanation: