Answer:
-2√7(-5.291503)
Step-by-step explanation:
combine like terms
Answer:
[tex] - 2 \sqrt{7} [/tex]
Step-by-step explanation:
[tex]3\sqrt{7} - 5\sqrt{7} = - 2 \sqrt{7} [/tex]
We subtract 3 and 5 and not the numbers under the radical.
The number under the radical can be changed if multiplied or divided.
3-5=-2 or
-5+3=-2
It's like having 5 dollar debt and then paying 3 dollars, you still have to pay those 2 dollars left.
Hope this helps ;) ❤❤❤
A person purchased a $239,127 home 10 years ago by paying 15% down and signing a 30-year mortgage at 10.8% compounded monthly. Interest rates have dropped and the owner wants to refinance the unpaid balance by signing a new 20-year mortgage at 6 % compounded monthly. How much interest will refinancing save?
Answer:
$135,629.37
Step-by-step explanation:
For computing the interest amount first we need to find out the monthly payment, present value, monthly payment and finally the interest amount which is shown below with the help of an attached spreadsheet
The value of the loan could come by
= $239,127 - $239,127 × 15%
= $203,257.95
The amount of interest saved is
= ($1,905 × 20 × 12) - ($1,399.18 × 20 × 12)
= $135,629.37
1. fill in the blanks below and write and evaluate an example of a function part1: Ashley earns 17 per hour. define the variables and state which quantity is a function of the other. part 2: using the variables defined in part 1, write a function using notation that represents Ashley's income Part 3: Ashley's hours for the last two weeks were 35 hours and 29 hours. Using the function you wrote in Part II, determine her income for each of the two weeks. Show your work. (4 points) 37 Week 1: Ashley worked 35 hours. She earned __________. Week 2: Ashley worked 29 hours. She earned __________.
Answer:
See below
Step-by-step explanation:
Part 1 -
x: number of hours worked
y: total income
This is written as → y = f(x)
Part 2 -
y = 15*x
Part 3 -
f (35) = 15 × 35 = $525
f (29) 15 × 29 = $435
Week 1 - Ashley worked 35 hours with a total income of $525.
Week 2 - Ashley worked 29 hours with a total income of $435.
please asap thanks :D
Answer:
f, g, and h only
Step-by-step explanation:
The letters are the variables.
Somebody please help me!!!
Answer:
512.
according to the instructions you are told to drag and carry the numbers in the box below to the correct destination in the sequence until the ninth value.
If its not correct drag to the trashcan to delete
Step-by-step explanation:
2, -4, 8, -16, 32, -64, 128, -256,512
that's the sequence to be filled in
If similar cubes have a length ratio of 3:2, what is the volume ratio? PLEASE EXPLAIN a) 9 : 4 b) 9 : 6 c) 27 : 8 d) 3 : 2
Answer: c) 27:8
Step-by-step explanation:
As volume of cube is side^3
volume of cube with side 2a is 8.a^3
volume of cube with side 3a is 27.a^3
ration of volumes is 27:8
pls help me with number 10
Answer:
D
Step-by-step explanation:
Δ KLM is equilateral ( 3 congruent angles ), thus 3 sides are congruent
KM = LM = 5
Δ MJK is isosceles ( base angles are congruent ), thus
MJ = KM = 5 , substitute value
x + 1 = 5 ( subtract 1 from both sides )
x = 4 → D
x=4
Step-by-step explanation:
all sides are 5 on the bottom triangle and the top triangle has 2 sides that are equal and one equals 5. there for it becomes x +1=5. 4
Using the given points and line, determine the slope of the line. (-3, 0) and (2, 7) slope = - slope = - slope = slope =
Answer:
slope = [tex]\frac{7}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (2, 7)
m = [tex]\frac{7-0}{2+3}[/tex] = [tex]\frac{7}{5}[/tex]
Answer:
7/5
Step-by-step explanation:
m=y2-y1/x2-x1
7-0=7
2-(-3)=5
7/5
Will mark as Brainlist!
the pilot was scheduled to depart at 4:00 pm, but due to air traffic, her departure has been delayed by 16 minutes. Air traffic control approved a new flight plan that will allow her to arrive four times faster than she calculated in her original flight plan. Let x represent the time, in minutes, of her original flight. Create an equation that can be used to predict the number of minutes after 4:00 pm she will arrive at her destination.
y= 1/4x - 16
y = 4x − 16
y=1/4x + 16
y = 4x + 16
Answer:
y=1/4x + 16
Step-by-step explanation:
Answer:
cccccccccccccccccccccccccccc
C!
Find the perimeter Jose wants to put a fence around his rectangular garden. His garden measures 33 feet by 39 feet. How much fencing material does Jose need to enclose the garden? Question 2 options: a) 257.4 feet b) 1287 feet c) 144 feet d) 72 feet
Answer:
144
Step-by-step explanation:
2(39+33)
2(72)
144
=144
A pole that is 2.6 m tall casts a shadow that is 1.38 m long. At the same time, a nearby tower casts a shadow that is 49.25 m long. How tall is the tower? Round
your answer to the nearest meter.
Answer:
92.7
Step-by-step explanation:
1.38 ÷ 2.6 = .53076923
this means ↑that number is what percent shadows covers
49.25 ÷ .53076923 = 92.7 (roughly)
Plz help me I don't know how to do this!!!!
Answer:
x = 25
Step-by-step explanation:
Since it is an equilateral triangle it means that all the sides are 50. Each side is equal so, if you divide 150 by 3 you get 50. (and since perimeter is the adding of each side)
Now you want to try to figure out what the altitude is of the triangle so you divide it in half. Making the bottom side length now 25 because half of 50 is 25. You now have to use Pythagoreans theorem to figure out the altitude:
c^2 - a^2 = b^2
50^2 - 25^2 = b^2
2500 - 625 = b^2
1875 = b^2
√1875 = b
43.30127019
now you put that into the expression: x√3:
x√3 = 43.30127019
x = (43.30127019) ÷ (√3)
x = 25
Hope this helped!
can somewon help me plz
Answer: s=36
Step-by-step explanation:
To solve for s, we can use our algebraic properties to solve.
[tex]\frac{1}{3}s+14=26[/tex] [subtract both sides by 14]
[tex]\frac{1}{3}s=12[/tex] [multiply both sides by 3]
[tex]s=36[/tex]
Answer:
The answer is s=36
Step-by-step explanation:
Find the missing side to the triangle in the attached image.
Answer:
15Solution,
Hypotenuse(h)= 25
Base(b)= 20
perpendicular (p)= X
Now,
Using Pythagorean theorem:
[tex] {p}^{2} = {h}^{2} - {b}^{2} \\ {x}^{2} = {25}^{2} - {20}^{2} \\ {x}^{2} = 625 - 400 \\ {x}^{2} = 225 \\ x = \sqrt{225} \\ x = \sqrt{ {15}^{2} } \\ x = 15 [/tex]
Hope this helps...
Good luck on your assignment..
Answer:
x = 15
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 20² = 25² , that is
x² + 400 = 625 ( subtract 400 from both sides )
x² = 225 ( take the square root of both sides )
x = [tex]\sqrt{225}[/tex] = 15
Attempt 1 of 1
Jamin wants to paint a wall in his bedroom. In order to know how much paint to buy, he first needs to know the
approximate area. There is a window in the middle of the wall, so he'll only need to paint the shaded part shown. How
many square feet is just the window? [Note: The wall and window are both rectangular.)
611
2
18 in.
81
>
362
0742
1.5 ft2
32
O
Type here to search
-
12:36 PM
7/10/2020
is this right??
Answer:
Step-by-step explanation:
Window is in the shape of rectangle
Area of the rectangular window = length * width
= 18 * 2
= 36 ft²
Answer:
36
Step-by-step explanation:
i got 100%(❁´◡`❁)
which of the following was not a new business created by the rise of automobile
1. Roadside restaurants
2. national parks
3. roadside cabins
4. gas stations
Answer:
road side cabins
Step-by-step explanation:
Find the missing segment
Answer:
? = 9.
Step-by-step explanation:
According to the AA Theorem, the two triangles are similar.
[tex]\frac{30}{30 + 5} =\frac{54}{? + 54}[/tex]
30 (? + 54) = 54 * 35
30? + 1620 = 1890
3? + 162 = 189
3? = 27
? = 9
Hope this helps!
Plz help me 2/3(6-9x)+15
Answer:
19-6x
Step-by-step explanation:
2/3(6-9x)+15
=4-6x+15
=19-6x
Answer:
19-6xSolution,
[tex] \frac{2}{3} (6 - 9x) + 15 \\ = \frac{2}{3} \times 6 - \frac{2}{3} \times 9x + 15 \\ = 4 - 6x + 15 \\ = 4 + 15 - 6x \\ = 19 - 6x[/tex]
Hope this helps...
Good luck on your assignment..
Calculate the area and the perimeter of the figure
Answer:
Area: 5 cm squared
Perimeter: 12 cm
Step-by-step explanation:
The area is Length times Width, and there is 5 different sqaures in the figure.Each sqaure has an area of 1 by 1, which is 1. 1 times 5 is 5. So the area is 5. You can get the perimeter by adding all the side lengths together, 2+3+2+1+1+1+1+1=12. The perimeter is 12. Hope this helps.
Marcus is saving up his money to buy a television that costs $395.50. Right now he has $85.00, and can save $29.00 each week. How many weeks will it take for Marcus to have enough money to buy the television?
Answer:
11 weeks
Step-by-step explanation:
He has 85 and can save 29 each week. This must be greater than the cost of the tv
85 + 29 w > 395.50
Subtract 85 from each side
85 -85 + 29 w > 395.50-85
29w >310.50
Divide by 29
29w/29 > 310.5/29
w >10.70689655
The number of weeks must be greater than 10.7 so rounding up
He must save for at least 11 weeks
What type of function is represented in the table? exponential linear quadratic logarithmic
Answer:
quadratic
Step-by-step explanation:
Linear function is represented by the data given on the table.
What is linear equation?" Linear equation is an algebraic expression in which highest exponent of the given variables is one. It represent a straight line."
General form of linear equation
y = ax + b
According to the data given in the table,
When x = 0 , y = -3 ,
Substitute the given values of x and y in general form of linear equation
- 3 = a × 0 + b
⇒ - 3 = b ____(1)
When x = 1 , y = 5
5 = a × 1 + b
5 = a + b ____(2)
Substitute the value of b in (2) we get,
5 = a + ( -3)
⇒ a = 8
Substitute the value of 'a' and 'b' in general form of linear equation and check whether it is true for other values of x and y.
y = 8x - 3
check for the x = 2
y = 8(2) -3
⇒ y = 13
Yes , it is correct.
When x =3
y = 8 (3) - 3
⇒ y = 21
It is correct.
Hence, we conclude that Linear function is represented by the data given on the table.
Learn more about Linear equation here
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Write the equation of the line, in standard form, that passes through the points (-2, 2) and (4, 5). Show all work for credit.
Answer:
x - 2y + 6 = 0
Step-by-step explanation:
Going from (-2, 2) to (4, 5), we see that x (the 'run') increases by 6 and that y (the 'rise') increases by 3. Thus, the slope of the line through these two points is m = rise / run = 3/6, or m = 1/2.
Starting with the slope-intercept formula y = mx + b, and using the x and y values from the point (-2, 2), we get
2 = (1/2)(-2) + b, or 4 = -2 + 2b, or 6 = 2b, or b = 3. Then the slope-intercept form of the desired equation is y = (1/2)x + 3. To obtain the standard form, we multiply all three terms of this result by 2, obtaining 2y = x + 6, or
x - 2y + 6 = 0
A ball has a volume of 4 cubic inches (in3). Use the fact that 1 inch is equal to 2.54 cm to convert this volume to cubic centimeters (cm3).
Answer:
V = 65.548 cm³
Step-by-step explanation:
We have,
Volume of a ball is 4 cubic inches or [tex]4\ \text{inch}^3[/tex].
We know that, 1 inch = 2.54 cm
It is required to convert this volume to cubic centimetre or [tex]\text{cm}^3[/tex].
[tex]4\ \text{inch}^3=4\ \text{inch}^3\times (\dfrac{2.54\ \text{cm}}{1\ \text{inch}})^3\\\\V=65.548\ \text{cm}^3[/tex]
So, the volume of the ball is 65.548 cm³.
Solve this quadratic equation by completing the square.
x2 + 8x= 10
A. X=-8 + V10
B. x= -4 26
O C. X= -8 + V26
D. X=-4 + V10
SUBMI
DO
Answer:
B
Step-by-step explanation:
The accompanying graph shows the amount of
water left in Rover's water dish over a period of
time.
Amount of Water in Rover's Water Dish
500
400
300
Amount of Water (mL)
200
100
0 15 30 45 60 75 90 105
Time (seconds)
How long did Rover wait from the end of his first
drink to the start of his second drink of water?
A
10 sec
B. 30 sec
C. 60 sec
D. 75 sec
Answer:
The answer is B. 30 seconds
HELPPPP NOW Lisa paid $35.00 to join an online music service. If she purchases 18 songs each month at a cost of $0.75 per song, what will be the total amount she has spent after 4 months?
Answer:
$54 for 4 months $89 in total
Step-by-step explanation:
Lisa paid $35 at first
then she paid 0.75 per song which is 0.75 *18 = $13.5
Then just multiply 13.5 by 4 b/c of 4 months
The total amount Liza has spent after 4 months is $89.
What is an equation?Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”. For example, 2x – 5 = 13.
Given that, Lisa paid $35.00 to join an online music service, she purchases 18 songs each month at a cost of $0.75 per song,
we need to find the total amount she paid after 4 months,
So, the cost of 18 songs = 0.75 x 18 = $13.5
The cost of 18 songs in 4 months = $54
Now, the total amount she paid = $54 + $35 = $89
Hence, the total amount Liza has spent after 4 months is $89.
Learn more about equations, click;
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a miving company's moving rates can be represented by the function f(x)=3x+400, where x is the number of miles for the move. Another moving company's rates can be represented by the function g(x)=5x+200. Which function represents the difference between the moving companies rates , h(x)=f(x)-g(x)?
A) h(x)=-2x+200
B) h(x)=-2x+200
C) h(x)=5x-200
D) h(x)=5x+600
Answer:
Option a
Step-by-step explanation:
This is a nice simple problem!
Given that the function f( x ) is equivalent to 3x + 400, respectively g( x ) = 5x + 200, all we are being asked to do is find their difference. Substitute the given values as such -
h( x ) = f( x ) - g( x )
⇒ h( x ) = ( 3x + 400 ) - ( 5x + 200 ) - Distribute negative sign, taking out ( )
⇒ h( x ) = 3x + 400 - 5x + 200 - Combine like elements
⇒ h( x ) = - 2x + 200
And there you have it! Our solution should be option a ( h( x ) = - 2x + 200 )
If you would like, there is a graph of the function in the attachment below.
Answer:
It's B on edge!
What is the slant height of the pyramid to the nearest 10th
15.5mm
13.9mm
12.5mm
19.0mm
BOSE
Consider the quadratic function.
f(p) = p? – Sp-5
What are the values of the coefficients and the constant in the function?
a = -1, b = -8, c = -5
a = 1, b= -5, C = -8
a = 1, b = -8, c = -5
a = -1, b = -5, C = 8
Answer:
a = 1 ; b = -8 ; c = -5
Step-by-step explanation:
f(p) = p² - 8p -5
a = co-efficient of p² = 1
b = co-efficient of p = -8
c = constant = -5
PLEASE HELP!! what is the horizontal asymptote of f(x)=2/3^x? Is it on the x-axis or the y-axis?
Hey there! :)
Answer:
y = 0, also known as the x-axis.
Step-by-step explanation:
The equation [tex]f(x) = \frac{2}{3} ^{x}[/tex] is an exponential function.
There is an asymptote at y = 0, or the x-axis because:
[tex]\frac{2}{3} ^{x}\neq 0[/tex]
An exponential function, unless containing a vertical shift, can never cross the x-axis resulting in an asymptote at y = 0.
The vertex of this parabola is at (2, -4). When the y-value is -1, the x-value is 3. What is the coefficient of the squared term in the parabola's equation?
Answer:
3
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (2, - 4) , thus
y = a(x - 2)² - 4
To find a substitute (3, - 1 ) into the equation
- 1 = a(3 - 2)² - 4 ( add 4 to both sides )
3 = a
Thus
y = 3(x - 2)2 - 4 ← equation in vertex form
= 3(x² - 4x + 4) + 4
= 3x² - 12x + 12 + 4
= 3x² - 12x + 16 ← equation in standard form
with coefficient of x² term = 3