Answer:
Step-by-step explanation:
the bars, | |, mean absolute value
for example, if it was
| -9 |
then it would be 9
if it was
| 9 |
then it would be 9
if it was
| -550 |
it would be 550
you take the number, and if its negative, then it becomes positive
thats it
Help!!!!PLEASE & THANKS
x° = 25°
25° is the answer
A family buys a studio apartment for $240,000. They pay a down payment of $48,000.
a. Their down payment is what percent of the purchase price?
b. What percent of the purchase price would an $84,000 down payment be?
a. The down payment is
(Type a whole number.)
% of the purchase price.
Answer:
A. 20% B. 35%
Step-by-step explanation:
a. (48,000 divided by 240,000) x 100 = 20
B. (84,000 divided by 240,000) x 100 = 35
Rewrite using the Distributive Property and GCF 13+36
Answer:
13(1+2)
Step-by-step explanation:
13(1)+13(2)=13+26
The GCF of 13, 26 is 13.
Two towers make up the Vertical Forest. One is 76 meters tall, and the other is 111 meters tall. How many feet taller is the higher tower? (Hint: 1 meter = 3.28 feet)
Answer: 114.8
Step-by-step explanation: first multiply 76 times 3.28 (249.28) then multiply 11 by 3.28 (364.08) and subtract to get your awnser
rewrite! Write an new and equivalent equation that is easier to solve
[tex]{\huge{\fcolorbox{yellow}{red}{\orange{\boxed{\boxed{\boxed{\boxed{\underbrace{\overbrace{\mathfrak{\pink{\fcolorbox{green}{blue}{Answer}}}}}}}}}}}}}[/tex]
[tex] \sf 7( \sqrt{m + 1} - 3) = 21[/tex]
we will multiply 7 with bracket
[tex] \sf 7 \sqrt{m + 1} - 21 = 21[/tex]
Now we will take (-21) on LHS to RHS
[tex] \sf 7 \sqrt{m + 1} = 21 + 21 \\ \\ \sf7 \sqrt{m + 1 } = 42 \\ \\ \sf \sqrt{m + 1} = \frac{42}{7} \\ \\ \sf \sqrt{m + 1} = 6[/tex]
Now we will do squaring both sides
[tex] \sf {( \sqrt{m + 1}) }^{2} = {(6)}^{2} \\ \\ \sf \red {m + 1 = 36}[/tex]
[tex]\sf{ 7( \sqrt{m+1} - 3)=21}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\sf{\sqrt{m+1} - 3)=\frac{21}{7}}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\sf{ 7( \sqrt{m+1} - 3)=3}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\sf{\sqrt{m+1} =6}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
Get the power of 2 in both sides.
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\sf{( \sqrt{m + 1})^2 = 6^2}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\sf{m+1=36}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\sf{m=35}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
So the answer is m = 35
Pls, look at the picture for the question.
Answer:
1. 9 * 10^15 meters per years
2. 3*10^8 meters per second
Step-by-step explanation:
Light travels is given 9,... m per year.
They ask how many meter light trravels per years.
They give you the meter per year so you look at the values and move the decimal and see if it can round to the whole number 9.
Looking at the four next to nine can't round so 9,460,000,000,000 becomes 9 * 10^15 m per year.
Converting meters per year to meter per seconds
[tex]\frac{9*10^5meters}{1 year} *\frac{1year}{365 days}*\frac{1 day}{24 hrs} *\frac{1hr }{60 min}*\frac{1min}{60 secs}[/tex]
The answer should be 2.8*10^8 or 3*10^8 meters per second
Yellow Bird launches from point (10,0). His flight path reaches a maximum height of 22 yards and lands at point (42, 0).
The Equation for the launch of the yellow bird is y = -0.1( x - 26 )² + 20
what will be the equation?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values
Given:
Starting position of the bird = ( 10 , 0 )
Final position of the bird = ( 42 , 0 )
Maximum Height of the bird = 20 yards
To find: Equation that represent this condition.
Clearly, Birds flight path is not a straight line. It has a curved path.
So, the path bird follow is a PARABOLA.
Standard Equation of the parabola in vertex form, y = a( x - h )² + k
where ( h , k ) is the vertex of the parabola.
In our Question , vertex is the point at the highest position.
Vertex will be 20 yard above the mid point of the starting and final position.
Using Mid-Point Formula,
Mid-Point of ( 10 , 0 ) & ( 42 , 0 ) =
Now, the vertex = ( 26 , 0 + 20 ) = ( 26 , 20 )
⇒ Equation, y = a( x - 26 )² + 20
Now, we find value of by substituting value of (10 , 0) in the equation,
⇒ 0 = a( 10 - 26 )² + 20
a( -16 )² = -20
a(256) = -20
a = -20/256
a = −0.078125
a ≈ -0.1
Therefore, The Equation is y = -0.1( x - 26 )² + 20
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James sees a truck at the dealership for $50,000
base price, $1,400 premium interior, $1,700
navigation touch-screen, and $2,200 smart
traffic sensors. If his current vehicle is worth
$5,000 and he's offered a 80% trade-in rate,
what is the total cost of the car after the $1,200
destination fee?
A. $41,900
B. $52,500
C. $51,500
D. $56,500
The total cost of the car after the $1,200 destination fee is B. $52,500.
How to calculate the total cost?To calculate the total cost of the car after the trade-in rate and the destination fee, we shall subtract the trade-in value from the total price of the new car, and then add the destination fee.
Given:
Base price of the car = $50,000
Premium interior = $1,400
Navigation touch-screen = $1,700
Smart traffic sensors = $2,200
Total price before the trade-in
= $50,000 + $1,400 + $1,700 + $2,200 = $55,300.
The trade-in rate = 80% of the trade-in value, which is $5,000.
So, the trade-in value = 80% * $5,000 = $4,000.
Subtract the trade-in value from the total price:
$55,300 - $4,000 = $51,300.
Finally, add the destination fee of $1,200 to the destination fee:
Total cost of the car = $51,300 + $1,200
= $52,500.
Therefore, the total cost of the car after the $1,200 destination fee is $52,500.
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Solve the system of equations.
y=x²-5
y= -2x+3
A. (-2, 7) and (4,-5)
OB. (-4, 11) and (2, -1)
OC. (2,-1) and (4,-5)
OD. (-4, 11) and (-2,7)
[tex]y= x^2 -5~~~~~~...(i)\\\\y = -2x +3~~~~...(ii)\\\\\text{From (i) and (ii):}\\\\~~~~~~~~x^2 -5 = -2x+3\\\\\implies x^2 -5 +2x -3 = 0\\\\\implies x^2 +2x -8 = 0 \\\\\implies x^2 +4x -2x -8 = 0\\\\\implies x(x+4) -2(x+4) = 0\\\\\implies ( x+4)(x-2) = 0\\ \\\implies x = -4,~ x = 2\\\\\text{Substitute x = 2 in eq (ii)}:\\\\y = -2(2) +3 = -4 +3 = -1\\\\\text{Substitute}~ x = -4 ~\text{in eq (ii)}:\\\\y = -2(-4) +3 = 8 +3 = 11\\\\\text{So,} ~(x, y)=\{(2,-1), (-4,11) \}\\\\\text{Hence the answer is option B.}[/tex]
The amount of time a certain brand of light bulb lasts is normally distribued with a
mean of 1100 hours and a standard deviation of 75 hours. Out of 965 freshly installed
light bulbs in a new large building, how many would be expected to last less than
1100 hours, to the nearest whole number?
Answer:
Therefore, the interval of hours that represents the lifespan of the middle 68% of light bulbs is 1210 hours - 1390 hours.
Step-by-step explanation:
In statistics, the 68–95–99.7 rule, also recognized as the Empirical rule, is a shortcut used to recall that 68%, 95% and 99.7% of the values lie within one, two and three standard deviations of the mean, respectively.
Then,
P (µ - σ < X < µ + σ) = 0.68
P (µ - 2σ < X < µ + 2σ) = 0.95
P (µ - 3σ < X < µ + 3σ) = 0.997
he random variable X can be defined as the amount of time a certain brand of light bulb lasts.
The random variable X is normally distributed with parameters µ = 1300 hours and σ = 90 hours.
Compute the interval of hours that represents the lifespan of the middle 68% of light bulbs as follows:
Thus, the interval of hours that represents the lifespan of the middle 68% of light bulbs is 1210 hours - 1390 hours.
2.* Use the slope (m) and y-intercept (b)
to describe the system.
(1) x + y = -1
(2) -x - y=-1
F. Intersecting lines
G. Same lines, m > 0
H. Same lines, m < 0
J. Parallel lines, m > 0
K. Parallel lines, m < 0
Answer:
the answer is for this particular problem is F
A rectangle measures 2(3x - 1) cm by (2x + 3) cm. If its perimeter is 98 cm what are the dimensions of this rectangle?
Answer:
the dimensions of the rectangle are 34cm and 15cm
Step-by-step explanation:
proof:
p= (2 × 34) + (2 × 15)
=68 + 30
= 98
hope this helps!!
Answer: 34x15
Step-by-step explanation:
A rectangle
Knowing the properties of a rectangle, the opposite sides are equal and parallel.
Determine formula
Since both sides are equal, our formula is [tex]((2(3x-1))*2)+((2x+3)*2)=98[/tex]
Solve for X
Side 1:
[tex]((2(3x-1))*2)[/tex]
[tex]((6x-2)*2)[/tex]
[tex](12x-4)[/tex] simplified
Side 2:
[tex]((2x+3)*2)[/tex]
[tex](4x+6)[/tex] simplified
Solve:
[tex](12x-4) + (4x+6) = 98[/tex]
[tex]16x+2=98[/tex]
[tex]16x=96[/tex]
[tex]\frac{16x}{16} = \frac{96}{16}[/tex]
[tex]x = 6[/tex]
Substitute x
[tex]2(3(6)-1) = 34[/tex]
[tex](2(6)+3) = 15[/tex]
The dimensions of this rectangle are 34x15.
2. (07.01)
In a city school, 70% of students have math class, 65% have science class, and 45% have math
and science class this semester. What is the probability (rounded to the nearest whole percent)
that a randomly selected student will have science class this semester, given that the student is in
math class? (1 point)
Hint: P(AB)
P(ANB)
P(B)
O 93%
20%
69%
Answer:
[tex]P(\text{Science}|\text{Math})\approx64\%[/tex]
Step-by-step explanation:
[tex]\displaystyle P(\text{Science}|\text{Math})=\frac{P(\text{Science and Math})}{P(\text{Math})}\\\\P(\text{Science}|\text{Math})=\frac{0.45}{0.70}\\ \\P(\text{Science}|\text{Math})\approx0.643\approx64\%[/tex]
None of the answer choices have this solution apparently, so either you left out some option, mistyped them, or it wasn't there to begin with
3. Can you form a right triangle with the three lengths given? Why or why not?
4 m, 6 m, 7 m
Oyes; 42 +6² * 7²
no; 4 + 6 # 7
yes; 4 + 6 = 7
Ono; 4² +62 * 7²
Answer:
No
Step-by-step explanation:
To get if values can create a right angled triangle use the pythogras theory a squared plus b squared equals c squared
So in this case 4 squared plus 6 squared don't equal to 7 squared
A lion can run at a speed of 1.43 kilometers per minute. How fast can the lion run in miles per hour
The loin's speed in miles per hour will be 53.31 miles per hour.
What is velocity?Velocity is defined as the ratio of the distance moved by the object at a particular time. The velocity is a vector quantity so it needs both the magnitude and the direction.
It is given that:-
lion can run at a speed of 1.43 kilometres per minute.How fast can the lion run in miles per hourNow to find the speed of a lion in miles per hour we have the following relationship.
[tex]1\ \ \ \dfrac{KM}{min} \ = \ 37.28\ \ \ \ \dfrac{Miles }{hour}[/tex]
[tex]1\ \ \ \dfrac{KM}{min} \ \times 1.43\ = \ 37.28 \times 1.43\ \ \ \dfrac{Miles }{hour}[/tex]
[tex]1.43\ \ \ \dfrac{KM}{min} \ = \ 53.3\ \ \dfrac{Miles }{hour}[/tex]
Therefore the loin's speed in miles per hour will be 53.31 miles per hour.
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How many helmets must the company make and sell to break even? helmets
Answer: 600
Step-by-step explanation: i took test and got it right
Answer: 600
Step-by-step explanation:
Which equation does NOT represent a vertical asymptote of the graph of y=tanθ?
A. θ=-pi/2
B. θ=0
C. θ=pi/2
D. θ=3pi/2
The value of theta where we do not have a vertical asymptote is θ = 0.
Where we do not have a vertical asymptote?
The vertical asymptotes happen when the denominator becomes equal to zero.
For our case, we have:
tan(θ) = sin(θ)/cos(θ).
So the vertical asymptotes are for the values of θ where the cosine is equal to zero. Particularly, cos(0) = 1, then in θ = 0 the denominator is not equal to zero, which means that at that value we do not have an asymptote.
Then the correct option is B.
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Solve for X, will mark brainliest if right
Answer:
x = 8
Step-by-step explanation:
The sides are in proportion.
[tex]\frac{RG}{FG} =\frac{SH}{FH}[/tex]40 / 7x + 14 = 44 / 33 + 4440 / 7x + 14 = 44/77 = 4/740(7) = 4(7x + 14)280 = 28x + 5610 = x + 2x = 8Two angles are complementary. One angle is labeled (2p + 9). The other angle is
labeled 4pº. Find the value of p.
A p = 2.5
B p = 4.5
Cp = 13.5
D p = 28.5
Answer:
p=13.5
Step-by-step explanation:
know: complementary angles add to 90
(2p+9) +4p =90
6p +9 =90
6p= 81
p= 81/6 = 13.5
Two buses leave towns 948 kilometers apart at the same time and travel toward each other. One bus travels 11km/h slower than the other. If they meet in 4 hours, what is the rate of each bus?
If they meet in 4 hours. Then the speed of each bus will be 124 km per hour and 113 km per hour.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
Two buses leave towns 948 kilometers apart at the same time and travel toward each other. One bus travels 11km/h slower than the other.
If they meet in 4 hours.
Then the speed of each bus will be
Let x be the speed of the one bus.
Then the speed of second bus will be
Speed = x - 11
Then the relative speed will be
Speed = 2x - 11
Then we have
2x - 11 = 948 / 4
2x - 11 = 237
2x = 248
x = 124
Then the speed of each bus will be 124 km per hour and 113 km per hour.
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if you need 4/5 of a cup for one pie how many do cups do you need for 9
Answer:
if you simplefy it, it would be 7 1/5
Step-by-step explanation:
see how many time 5 goes into 36= 7 times what is your remander = 1 and the denomorator is 5 so 7 and 1/5
What is the radius of oT?
Answer Here
+
21
20
R
The length of the half chord is given as 21. The length of the perpendicular drawn from the center to the chord is 20. The radius would be 29 units.
What is Pythagoras' Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).
The length of the half chord is given as 21.
The length of the perpendicular drawn from the center to the chord is 20.
By Pythagoras' Theorem
[tex]|r|^2 = |21|^2 + |20|^2\\\\|r|^2 = 441 + 400\\\\|r|^2 = 841\\\\|r| = \sqrt{841} \\\\r = 29[/tex]
The radius of the circle would be 29 units.
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Select all of the values of x that make the inequality -x+6= or grater than 10
true.
Answer:
2/5
1
3/2
Step-by-step explanation:
Note that:
> = Greater than
< = Less than
≤ = Less than or equal to
≥ = Greater than or equal to
Solution:
Since it given that 27/7n > 4/3
It means that
27/7n is greater than 4/3.
Now going through all answer choices:
----------------------------------------------------------------------------------------------------------
27/7(2/5) = 1 19/35
1 19/35 is greater than 4/3
Thus, 2/5 is true.
----------------------------------------------------------------------------------------------------------
27/7(1/3) = 1 2/7
1 2/7 isn't greater than 4/3
Thus, 1/3 is false.
----------------------------------------------------------------------------------------------------------
27/7(1) = 3 6/7
3 6/7 is greater than 4/3
Thus, 1 is true.
----------------------------------------------------------------------------------------------------------
27/7(2/9) = 6/7
6/7 isn't greater than 4/3
Thus, 2/9 is false.
----------------------------------------------------------------------------------------------------------
27/7(3/2)=5 11/14
5 11/14 is greater than 4/3
Thus, 3/2 is true.
----------------------------------------------------------------------------------------------------------
[Matthew1756654]
Use the equation below to find A, if 1 = 6 and w = 3.
A = lw
Answer:
l=6, w=3
And A is the multiplication of l and w
A=6×3
Line j is parallel to line k. Find the m
Answer:
- 8.14 = m = slope
Step-by-step explanation:
We know from the diagram that 8x-7 + 5x+18 = 180 so x = 13
so 8x -7 = 97
slope = tan 97 = -8.14
Work out the size of angle x
Comedy Drama Action Horror
Day 1 5 7 3 1
Day 2 2 11 4 5
5. Based on the above chart, which conclusion can be drawn from the data?
a. Horror is the most popular genre.
b. Drama is the most popular genre.
c. People like comedies because they like to laugh.
d. People don’t like horror movies because they don’t like to be scared.
Answer:
B. Drama is the most popular genre
Step-by-step explanation:
Day 1:⇒ Comedy: 5
Drama: 7
Action: 3
Horror: 1
Day 2:⇒ Comedy: 2
Drama: 11
Action: 4
Horror: 5
With this information we can start ruling out our answer choices.A. horror is the most popular genre
Lets see, both of the sum of both days for Horror is 6, for Action is 7, Drama is 18, and Comedy is 7, with this we can conclude that horror is actually the least popular genre
B. Drama is the most popular genre
Using the information we gathered previously, we know Drama is the most popular genre, therefore this option is a high possibility.
C. People like comedies because they like to laugh
Although, I personally love comedies for this reason, this chart does not prove that people like comedies for this reason.
D. People don't like horror movies because they don't like to be scared
As for option C, the chart does not prove that is the case!
Therefore we can conclude that option B is the best choice.
Lillian and Mackenzie clean rooms at a hotel. Today, they cleaned the same number of rooms, but Mackenzie worked fewer hours. Tomorrow, their shifts are the same length. Who will likely clean more rooms?
Answer:Mackenzie
Step-by-step explanation:
Answer:
Step-by-step explanation:
Mackenzie
Which is a perfect square? 20,21, 24,25
The perfect square form the given numbers is 25.
What is meant by Perfect Squares?Perfect squares are defined as the number which is the result of the multiplication of another number, likely integers, to itself two times.
For example, 4 = 2 × 2
So 4 is a perfect square of 2.
Here the given numbers are,
20, 21, 24, 25.
We need the perfect squares as the squares of integers.
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
So 25 is a perfect square.
20, 21 and 24 cannot be written as the square of an integer.
Hence the correct number is 25.
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Sam Bought a shirt for $27 after a discount, He said he bought the shirt at a 10% discount, What was the original selling price of the shirt?
Answer:$37.00
Step-by-step explanation: hope it helps