Answer:
-2
Step-by-step explanation:
First, let's put this in slope-intercept form:
-5y-3x=10
5y = -3x - 10
y = (-3/5)x - 2
The y-intercept is -2.
A car costsA car costs $30,000 when purchased as new and depreciates at a rate of 18% per year.Write an exponential decay model to represent the situation. Be sure to define the variables. Find the value of the car after 10 years
9514 1404 393
Answer:
v(t) = 30000×0.82^t . . . value in dollars after t years
v(10) ≈ 4123 . . . . dollars
Step-by-step explanation:
The general form of the decay model is ...
f(t) = f(0)×(1 -decay rate)^time
where the decay rate is a fraction between 0 and 1, and the time is expressed in the same time units as the decay rate. The multiplier f(0) is the initial value that is decaying.
In this problem, the initial value is $30,000 and the decay rate is 18% per year. So, we can write a function v(t), where v is the car's value in dollars, and t is the number of years after it starts depreciating.
v(t) = 30,000×(1 -0.18)^t
v(t) = 30,000×0.82^t
__
The car's value in 10 years is ...
v(t) = 30,000×0.82^10 ≈ 4123.44
The value of the car after 10 years is about $4,123.
Given that GJ=70.2, JH=26, and GK=70.2, find the measure of JK
Answer:
52
Step-by-step explanation:
The two sides (GJ and GK) are congruent, and the angle of ∠GHJ is 90°.
It means JH ≅ HK.
JH = 26 so you multiply 2.
26 x 2 = 52
JK = 52
The measure of the side JK is 52 units if the GJ=70.2, JH=26, and GK=70.2 after applying the Pythagoras theorem.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
It is given that:
GJ=70.2, JH=26, and GK=70.2,
In the right angle triangle JHG:
GH = √(GJ² - JH²)
GH = √(70.2² - 26²)
GH = 65.20
Similarly, applying Pythagoras' theorem in the triangle GHK:
HK = √(GK² - GH²)
HK = √(70.2² - 65.20²)
HK = 26.01
JK = JH + HK
JK = 26 + 26.01
JK = 52.01 = 52
Thus, the measure of the side JK is 52 units if the GJ=70.2, JH=26, and GK=70.2 after applying the Pythagoras theorem.
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The temperature was 75° Fahrenheit. The temperature dropped at a rate of 10° per hour.
What was the temperature in degrees 8 hours later?
Answer:
-5 degrees
Step-by-step explanation:
you started at 75 degrees. it dropped at a rate of 10 degrees per hour. It's been eight hours. 8 times 10 equals 80. It dropped a total of 80 degrees. the starting 75 degrees minus the current 80 degrees equals -5 degrees.
What must be included in an algebraic
expression?
A an equals sign
B at least one variable
C one or more numbers
D more than one operation
Answer:
B. you need atleast one variable for an algebraic expression.
an equals sign would make it an algebraic equation,
just a coefficient and a variable is the most basic algebraic expression. you don't need anything other than those for an expression. you can have more than one number, and more than one operation, but they don't have to be there.
Step-by-step explanation:
i hope this helps :))
The bike store marks up the wholesale cost of all of the bikes they sell by 30%.
Andre wants to buy a bike that has a price tag of $125. The wholesale cost of this bike was $87.50.
Answer:
Suppose that the wholesale of a bike is A (A is the 100% in this case). If we have an increase of 30% for the sale price, we have the new price of:
Price = A + (30%/100%)A = A + 0.3*A = (1.3)*A
Then if we know that the price tag of the bike is $125, then we have:
$125 = (1.3)*A
$125/1.3 = A = $96.15
The wholesale cost of the bike is $96.15
Answer:
1. Andre wants to buy a bike that has a price tag of $125. What was the wholesale cost of this bike? $ 96.15
2. If the bike is discounted by 20%, how much will Andre pay (before tax)?
$ 100
I hope this helped <33 !
Anne is playing golf. On the first tee, she hits a slow shot down the Y = x -0.0 4X squared, we are why is the balls hide in the air and eggs is a horizontal distance in his drawer from the tea. The distance or measured in feet how far from the tea does the ball hit the ground
Answer:
25 ft
Step-by-step explanation:
The path of the golf ball is given by the equation.
[tex]y=x-0.04x^2[/tex]
The point on the ground where the ball will land on the ground is the point where [tex]y=0[/tex].
[tex]x[/tex] is horizontal distance
So
[tex]0=x-0.04x^2\\\Rightarrow x(1-0.04x)=0\\\Rightarrow 1-0.04x=0\\\Rightarrow x=\dfrac{1}{0.04}\\\Rightarrow x=25[/tex]
So, the ball will land 25 ft away from the tee.
Please help as soon as possible
Answer:
Step-by-step explanation:
the answer is No its not similar
because the factors don't work
i’m struggling help please
Answer:
Step-by-step explanation:
the slope would be y2-y1/x2-x1
so the distance is y and the time is x so what you are going to do is 30-18 over 5-3 which then means it would be 12/2 which equals 6
Which value of n makes the equation true?
1/2(n+4)=6
Answer:
8
Step-by-step explanation:
1/2(12)=6
Answer:
8
Step-by-step explanation:
1/2(8+4)=6
3.
If the volume of cylinder of height 7 cm is 448 cm², then the total surface area of cylinder is
(1) 2041 cm?
(2) 2241 cm?
(3) 2481 cm?
(4) 240 cm?
Answer:
A = 240π cm²
Step-by-step explanation:
Given that,
Height of a cylinder, h = 7 cm
Volume of the cylinder, V = 448π cm³
We need to find the total surface area of the cylinder.
The formula for the volume of the cylinder is given by :
[tex]V=\pi r^2 h\\\\r=\sqrt{\dfrac{V\pi }{\pi h}} \\\\r=\sqrt{\dfrac{448\pi }{\pi \times 7}} \\\\r=8\ cm[/tex]
The formula for the total surface area of the cylinder is given by :
[tex]A=2\pi r(r+h)\\\\A=2\pi \times 8\times (8+7)\\\\A=240\pi \ cm^2[/tex]
So, the total surface area of the cylinder is 240π cm².
what is equivalent to 8+3•12
Answer:
Step-by-step explanation:
There are infinity equivalent fractions to 812. See some examples: 23, 46, 69, 812, 1015, 1218, 1421, 1624, 1827, 2030, 2233, 2436, 2639, 2842, 3045, 3248, 3451, 3654, 3857, 4060...
A piece of wire that is 28 inches long is cut into two pieces, each of which is then bent into the shape of a square. The larger square has side lengths that are three inches longer than the smaller square.
(a) If x is the side length of the smaller square and y is the side length of the larger square, write a system of equations that models this scenario.
(b) Solve the system of equations and determine the lengths of the two pieces of wire.
Answer:
1)
4(x+3)+4x=28
Solve
4x+12+4x=28
Combine
8x+12=28
Isolate
8x=16
Isolate
x=2
Substitute
4(2+3)=20
4*2=8
Now find each side
20/4=5
8/4=2
So one side is 5
Other side is 2
The staff takes 1/2 of an hour to assemble 1/8 of the booths. How long does it take the staff to assemble all of the booths?
Answer:
It takes all staff 3 hours
Step-by-step explanation:
So, first we write down all these important info. It takes half hour for staff to assemble one sixth (1/6) of the booths. First you need to take the fraction 1/6 a whole number by multiplying it by the denominator which in this case is 6 which will give you the answer 1. Next, you do the exact same thing for the other part. Multiply 1/2 by 6 to get 3.
The time to assemble the remaining fraction of the bottle is 3.5 hours.
Time to assemble one-eight of the bottles
The time taken for the staff to assemble one - eight (1/8) of the bottles is given as half (1/2) hour.
Remaining fractionThe remaining fraction of the bottle is calculated as follows;
[tex]= 1 - \frac{1}{8} \\\\= \frac{7}{8}[/tex]
Time to assemble the remaining fraction of the bottlesThe time to assemble the remaining fraction of the bottle is calculated as follows;
1/8 ----------------- 1/2 hour
7/8 ---------------- ?
[tex]\frac{7}{8} \times \frac{1}{2} \times \frac{8}{1} = 3.5 \ hours[/tex]
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what are the like terms in these?
3+5y-2g+7y
9g+5-2g+8x
Answer:
so the first one is 3+12y−2g
and the second one is 7g+5+8x
Step-by-step explanation:
im rlly rlly sorry if its wrong !!
Find the value of x.
Hello!
[tex]\large\boxed{x = 6}[/tex]
The figure pictured contains two congruent triangles (ASA), so we can assume that:
JK ≅ JM
Therefore:
2x - 4 = 4x - 16
Subtract 2x from both sides:
2x - 2x - 4 = 4x - 2x - 16
-4 = 2x - 16
Add 16 to both sides:
-4 + 16 = 2x - 16 + 16
12 = 2x
Divide both sides by 2:
12/2 = 2x/2
x = 6.
4) 1, -4, 16, -64, 256, ...
A) -3125, 15625, -78125
C) -32, 64, -128
B) 243, 729, 2187
D) -1024, 4096, -16384
Answer:
D) -1024, 4096,- 16384
least to greatest.
-2 3/4
-3/5
-1 3/4
Answer:
-2 3/4, -1 3/4, -3/5
Step-by-step explanation:
The measures of the angles of A ABC are given by the expressions in the table.
Angle
Measure
A
(4x – 13)
B
15
С
(x +18)
What is the measure of ZA and ZC?
Enter your answers in the boxes
mZA =D
mZC=
Answer:
m∠A = 115°
m∠C = 50°
Step-by-step explanation:
By triangle sum theorem,
Sum of measures of all interior angles of a triangles equals to 180°.
m∠A + m∠B + m∠C = 180°
By substituting the values of the angles from the given table,
(4x - 13) + 15 + (x + 18) = 180
(4x + x) + (-13 + 15 + 18) = 180
5x + 20 = 180
5x = 180 - 20
x = [tex]\frac{160}{5}[/tex]
x = 32
m∠A = (4x - 13)° = 4(32) - 13
= 115°
m∠C = (x + 18)° = 32 + 18
= 50°
Based on the properties of the internal angles in triangles, the measure of the angles A and C from the triangle ABC are equal to 115° and 50°, respectively. #SPJ5
What are the measures of the internal angles of the triangle ABC?According to geometry, triangles are figures formed by three sides and three internal angles and, likewise, the sum of the measures of the internal angles equals 180°. Based on the latter property, we should solve the following expression for x:
(4 · x - 13) + 15 + (x + 18) = 180
5 · x + 20 = 180
5 · x = 160
x = 32
Finally, the measure of the angles A and C from the triangle ABC are, respectively:
m ∠ A = 4 · 32 - 13 = 115°
m ∠ C = 32 + 18 = 50°
Based on the properties of the internal angles in triangles, the measure of the angles A and C from the triangle ABC are equal to 115° and 50°, respectively. #SPJ5
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g(x) = 4f(x)
Is this a vertical or a horizontal translation
Answer:
this is a vertical
Step-by-step explanation:
the barrel of a fountain pen, cylindrical in shape , is 7cm long and 5mm in diameter .a full barrel of ink in the pen will be used up in writting up 310 words on an average . how many words would use up on a bottle of ink containing one-fifth of a litre ?answer correct to the nearest 100 words.
Answer:
44 words
Step-by-step explanation:
Step one:
given data
The dimension is
7cm long and = 0.07mm
5mm in diameter
radius= 2.5mm
The volume = πr^2h
Volume= 3.142*2.5^2*0.07
Volume= 3.142*6.25*0.07
volume= 1.4 mm^3
If 1.4 mm^3 will write 310 words on an average
1/5(0.2mm^3) liter will write x
cross multiply we have
x= 0.2*310/1.4
x=62/1.4
x=44 words
The numbers 1-6 are written on slips of paper and placed in a bag. Megan draws two numbers in a row withou replacement. What is the probability of Megan selecting an even number followed by a 3?
Answer:
2
Step-by-step explanation:
The figure shows two equilateral triangles with a shared side. Can the triangles ΔIHJ and ΔIKJ be proven congruent?
Question 20 options:
A)
Yes, ΔIHJ ≅ ΔIKJ by AAA.
B)
No, ΔIHJ and ΔIKJ aren't congruent because SSA isn't a congruence theorem.
C)
Yes, ΔIHJ ≅ ΔIKJ by SSS.
D)
There isn't enough information.
The answer is Yes, ΔIHJ ≅ ΔIKJ by SSS.
Answer:
Step-by-step explanation:
D)
Yes, ΔIHJ ≅ ΔIKJ by SSS.
Just did this quiz got that one right.
A sphere has a Volume of 972 cubic feet. Find the radius of the sphere.
Answer:
6.15
Step-by-step explanation:
1/9x=5
solve for x
please show step by step
Answer:
x=1/45
Step-by-step explanation:
do the inverse
please mark it as brainliest!!<3
Jill bought a lamp for $40. She sold it at a garage sale for $12. What was the approximate decrease?
Answer:
she was left with 28$ I'm in high school i think I'm right
Step-by-step explanation:
3x2+2
-5x - 4
2x - 7
-2x2+10
Hint: To find the perimeter of a polygon, add all the sides
Answer:
The perimeter of a 4-sided polygon: P = x²-3x+1
Step-by-step explanation:
Given the lengths of the sides of a given polygon
3x²+2-2x²+102x-7-5x-4The perimeter of a 4-sided polygon can be determined by adding the lengths of all 4 sides.
Perimeter = (3x²+2) + (-2x²+10) + (2x-7) + (-5x-4)
Remove the parentheses
=3x²+2-2x²+10+2x-7-5x-4
Group like terms
=3x²-2x²+2x-5x+2+10-7-4
Add similar elements: 3x²-2x²=x²
=x²+2x-5x+2+10-7-4
Add similar elements: 2x-5x=-3x
=x²-3x+2+10-7-4
=x²-3x+1
Therefore, the perimeter of a 4-sided polygon: P = x²-3x+1
1 of 2
Find the length of the shortest side if the area of the rectangle is 144m2
х
x + 10
Answer:
Given,
Length and breadth of the rectangle are (x) and (x+10)
Area of the rectangle ( A ) = 144[tex]m^{2}[/tex]
We know ,
Area of rectangle ( A ) = L*B
or , 144 = x ( x+10 )
or , 144 = [tex]x^{2}[/tex] + 10x
or , [tex]x^{2}[/tex] + 10x - 144 = 0
Solving the equation , we get ,
x = 8 and -18
The side has to be positive so ,
x = 8 m , which is the shortest side !
Step-by-step explanation: We were given the area of the rectangle and length & breadth in expression . By using the formula of area of rectangle , we got the equation which then gave 8 and -18 as answers when solved and since the rectangle had positive sides 8 m was the correct value . Also its the shortest side and the other side is simply ( 8 + 10 ) which is 18 m but the question has only asked for the shortest side !
9.
Write the equations THEN solve by any method
Bowl-O-Rama charges 2.50 per game plus $2.00 for shoe rental and
Bowling Pinz charges $2 per game and $4.00 for shoe rental. For
how many games will the cost to the bowl be the same at both
places? What is the cost?
Answer: 4,12
Step-by-step explanation:
Bowl-O-Rama:
y = 2 + 2.50x
Bowling Pinz:
y = 4 + 2x
When you graph this, the solution is (4, 12). This represents that when you play 4 games for either company, both the prices will be the same, $12.
Answer:
$18.00
Step-by-step explanation:
Bowl-O-Rama: $4.50 times 4
Bowling Pinz: $6.00 times 3
Use the domain (1/2, 1, 2, 4, 8) to plot the points on the graph for the given equation. The grid marks represent one unit,
the horizontal red line represents the x-axis, and the vertical red line represents the y-axis.
y = log 2 x
According to values of a function we can plot the points on a graph.
What is domain?
Domain is the value which we used to enter in a function to get the value of a function.
How to plot the points on the graph?
We have been given the domain of the function and we have to plot the value in the graph.
F(1/2)=log1=0
F(1)=log2=0.3
F(2)=log4=0.6
F(4)=log8=0.9
F(8)=log16=1.2
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Use the linear combination method to solve this system of equations. What is the value of x? 3 x + 7 y = 31. Minus 3 x minus 2 y = negative 1 Negative 6 Negative 3 and two-thirds 3 and two-thirds 6
Answer:
x = -3 2/3
Step-by-step explanation:
Given the simultaneous equations;
3 x + 7 y = 31 ..... 1
-3x - 2y = -1 ..... 2
Add both expressions
7y - 2y = 31-1
5y = 30
y = 30/5
y = 6
Substitute y = 6 into equation 2
From 2;
-3x - 2y = -1
-3x - 2(6) = -1
-3x - 12 = -1
-3x = -1 + 12
-3x = 11
x = -11/3
x = -3 2/3
Hence the value of x is -3 2/3
Answer:
x = -3 2/3
Step-by-step explanation: