Answer:
-10
Step-by-step explanation:
if we put f(n)=3 , Then
f(3)=f(3-2) + f(3-1)
= f(1) + f(2)
= -6+(-4). [since f(1)= -6 and f(2) = -4)
= -6-4
= -10
On the April 12 billing date, Michaelle Chappell had a balance due of 1451.54 on her credit card. From April 12 through May 11 , Michaelle charged an additional 393.03 and made a payment of 700.00
The finance charge on May 12 is?
Answer:
$1,144.57
Step-by-step explanation:
1,451.54 + 393.03 = 1844.57
1,844.57 - 700 = 1,144
11,9,36,28,7,41 what is the mean absolute deviation
Answer:
The mean absolute deviation of this sample is 13.
Step-by-step explanation:
Mean absolute deviation is the sum of the absolute value of the differences between data values and the mean, divided by the sample size.
If a car can go 204 miles in 3 7/8 hours, how far can it go in 2 1/5 hours
Answer:
115.5
Step-by-step explanation:
the car is traveling at precisely 52.5 miles an hour
Determine whether 5, 238 is divisible by 2, 3, 4, 5, 6, 9, or 10.
Answer:
2, 3, 6
Step-by-step explanation:
Simply try each value using long division.
2:
Since 5,238 ends in an even number, that automatically means it is divisible by 2.
5238/2=2619
Now for 3:
5238/3=1746 no remainder or decimal, so 3 also works
4:
You can either do long division again with 4, or you can see if 5238 divided by 2 (5238/2) is also divisible by 2. Since 2619 doesn't end in an even number, 4 is a no go.
Long division 5238/4=1309.5 decimal here, so 4 isn't an answer
5:
This is also very easy, simply check if the number ends in 0 or 5. Since 5,238 does not, 5 doesn't work either.
6:
You can do the same thing as with 4, except this time trying to find if 5238 divided by 3 (5238/3) is divisible by 2. Since 1746 ends in an even number, 6 also works.
Long division: 5238/6=873
9:
You can do the same thing as with 6, except this time trying to find if 5238 divided by 3 (5238/3) is divisible by 3.
1746/3=548 with a remainder of 2, which means 9 doesn't work
Long division: 5238/9=548.66 repeating
10:
Finally, 10 is another easy one. Simply check if the number ends in 0. 5,238 does not, so 10 doesn't work.
A light in a park can illuminate effectively up to a distance of 100 m. A point on a bike path is 150 m from the light. The sight line to the light makes an angle of 23° with the bike path. What length of the bike path, to the nearest metre, is effectively illuminated by the light?
The length of the bike path, to the nearest meter, is effectively illuminated by the light is 138 m
The missing diagram is attached with the answer.
What is Angle of elevation ?The angle formed between the horizontal line and line of sight is called Angle of Elevation.
It can be seen in the diagram that
It is a right angled triangle if extended and
cos 23 degree = (length of the bike path)/Hypotenuse
Hypotenuse here is the point on a bike path is 150 m from the light
Therefore
cos 23 ° = x / 150
x = 0.92 * 150
x = 138 m
Therefore The length of the bike path, to the nearest meter, is effectively illuminated by the light is 138 m.
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A leak in a pool causes the height of the water to decrease by 0.25 foot over 2 hours. After the leak is fixed, the height of the water is 4.75 feet. The equation 4.75 = x + (negative 0.25) can be used to find x, the original height of the water in a pool.
What was the original height of the water in the pool in feet?
4.5
5.0
6.5
7.0
The original height of the water in a pool is 5 ft , Option B is the correct answer.
What is an Equation ?An equation can be defined as a mathematical statement when two algebraic expressions are equated using an equal sign.
It is given in the question that
A leak in a pool causes the height of the water to decrease by 0.25 foot over 2 hours.
the height of the water is 4.75 feet.
The equation
4.75 = x + (negative 0.25)
can be used to find x, the original height of the water in a pool.
4.75 = x - 0.25
x = 5
Therefore the original height of the water in a pool is 5 ft , Option B is the correct answer.
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Answer:
B
Step-by-step explanation:
The functions f(x) and g(x) are shown on the graph.
Using f(x), what is the equation that represents g(x)?
g(x) = log3(x) – 4
g(x) = log3(x) + 4
g(x) = log3(x – 4)
g(x) = log3(x + 4)
We can see that g(x) is a translation of 4 units to the left of f(x), then:
g(x) = log₃(x + 4).
How to get the equation that represents g(x)?
Here we can see that g(x) is a shift of f(x). Is clear that the asymptote of g(x) is 4 units to the left of the asymptote of f(x), so we can say that g(x) is a shift of 4 units to the left of f(x).
Remember that for a given function f(x), an horizontal shift of N units is given by:
g(x) = f(x + N).
If N is positive, the shift is to the left.If N is positive, the shift is to the right.Then a shift of 4 units to the left is written as:
g(x) = log₃(x + 4).
Then the correct option is the last one.
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Can u help me pls i will be putting some more problems
look the image
Step-by-step explanation:
So here...two triangle is measured in 78° and 30° ..here to find the value of third angle...
we need to subtract 180° from the sum of 78° and 30° ...cause the sum of all angle of triangle is 180° ..
x + 78° + 30° = 180°
x + 108° = 180°
x = 180° - 108°
x = 72°
hence the value of third angle is 72°....
The pyramid below has a square base.
24.4 cm
17.2 cm
Vol = x area of base. x perpendicular height
Work out the volume of the pyramid.
The volume of the pyramid would be 2406.16 cubic cm.
How to find the volume of a square-based right pyramid?Supposing that:
The length of the sides of the square base of the pyramid has = b units
The height of the considered square-based pyramid = h units,
The pyramid below has a square base.
h = 24.4 cm
b = 17.2 cm
Then, its volume is given by:
[tex]V = \dfrac{1}{3} \times b^2 \times h \: \rm unit^3[/tex]
[tex]V = \dfrac{1}{3} \times 17.2^2 \times 24.4 \: \rm unit^3\\\\V = 2406.16[/tex]
Therefore, the volume of the pyramid would be 2406.16 cubic cm.
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How do we solve this?
(No need to find x)
Answer:
Hi,
Step-by-step explanation:
We can't solve that but reduce it to the same denominator.
[tex]\dfrac{x+5}{x}+\dfrac{x+8}{x-1}\\\\=\dfrac{(x+5)(x-1)+x(x+8)}{x(x-1)}\\\\=\dfrac{x^2+5x-x-5+x^2+8x}{x(x-1)}\\\\=\dfrac{2x^2+12x-5}{x(x-1)}\\[/tex]
Select the correct answer.
This system of equations relates the ticket price, in dollars, for seats in the silver (x) and gold (y) sections at a rock concert.
x + 2y = 82
3x + y = 96
By how much does the price of a ticket for the gold section exceed the price for a ticket for the silver section?
A.
$6
B.
$8
C.
$10
D.
$12
E.
$14
Answer:
$12
Step-by-step explanation:
x+2y=82........(1)
3x+y=96.........(2)
y=96-3x...........(3)
x+2y=82
x+2(96-3x)=82
x+192-6x=82
-5x=82-192
-5x=-110
x=-110÷-5
x=22
y=96-3x
y=96-3(22)
y=96-66
y=30
Therefore,x=22 and Y=30
so silver= x =22
gold= y = 30
y=30;x=22
=30-22
-12
Therefore $12
HELP!!
3. Explain why all circles are similar. Use transformations in your explanation. You may also refer to the below image
All circles are similar because radius is constant throughout the circle.
What is similarity of circles?Every point on a circle's perimeter is equidistant from its center. We utilize the radii to get the scale factor since the size of each circle is specified by its radius.
A quality of at least two forms in relation to each other is similarity. When two forms are similar, their qualities in relation to one another remain the same.
A circle is characterized by two properties: its center and radius.Because similarity is unaffected by location the similarity of circles is solely determined by their radii.
Hence,all circles are similar because radius is constant throughout the circle.
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Write the equation for a line with a y-intercept of 3 and an x-intercept of 5.
Answer:
it's 15
Step-by-step explanation:
just do ( 5× 2) = (10+5)=15
Can someone lend a hand?
Answer:
B. y=-0.5x + 1
Step-by-step explanation:
first look at the slope: slop = rise over run. for every 2 units right, the point goes 1 unit down. so the slope if -1/2 or -0.5
next look at the y-intercept. the y-intercept of this graph is 1
plug these into the equation y= mx + b to get y = -0.5x + 1
Answer:
A. y = -0.5x + 1
Step-by-step explanation:
Hello!
An equation of a line is written in slope-intercept form: [tex]y = mx + b[/tex]
y = output, y-value, ordinatem = slope, rise over run, rate of changex = input, x-value, abscissab = y-intercept, starting valueY-interceptThe y-intercept is found when x=0, or then the line crosses the y-axis.
Over here, we can see that the line crosses the y-axis at point (0,1), so the y-intercept is positive 1.
SlopeSlope is calculated by rise over run, or the ratio of how much the graph rises over how much the graph runs. Use points to determine how the graph changes. (For simple calculations, use integer points, such as (0,1) and (0,2)
[tex]\frac{\text{rise}}{\text{run}}[/tex][tex]\frac{-1}{2}[/tex][tex]-0.5[/tex]Now that we have the slope and the y-intercept, we can plug those values to make our equation.
[tex]y = mx + b[/tex][tex]y = -0.5x + 1[/tex]The correct answer is Option A. y = -0.5x + 1
Find the distance between the pair of coordinates: (-4, -3) and (-8, 7). A 10.77 B 3.74 C 04 D 12.65 Question
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{7})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-8 - (-4)]^2 + [7 - (-3)]^2}\implies d=\sqrt{(-8+4)^2 + (7+3)^2} \\\\\\ d=\sqrt{(-4)^2 + 10^2}\implies d=\sqrt{116}\implies d\approx 10.77[/tex]
5 less than n is equal to 38
What is the circumference of the circle below? (Round your answer to the nearest tenth.)
OA. 56.5 cm
OB. 113.1 cm
OC. 254.5 cm
OD. 28.3 cm
Answer:
A. 56.5 cm
Step-by-step explanation:
circumference of the circle is Pi times diameter
diameter is radius times 2
diameter is 9 times 2
diameter is 18
circumference of the circle is Pi times 18
circumference of the circle is 3.14 times 18
circumference of the circle is 56.52
6) Suppose you deposit $6000 in a savings account that pays interest at an annual rate of 4% compounded
continuously. How many years will it take for the balance in your savings account to reach $8000? Round
your answer up to the nearest number of years.
Answer:
7 years
Step-by-step explanation:
Can anyone answer this?
5.259 to the thenths place
Answer:
5.3 is 5.259 rounded into the tenths place.
Determine the composition of
transformations that would map figure ABCD to figure A'B'C'D"
1. The transformation that would map vertex B to B' is
In the braces below, list all subsets of the set {6, 7, 8).
(write in algebraic expression) Ice cream shop is open within the month of june,july and august
The shop served 100 fewer customers than they did in july
They served twice as many customers in august as they did in june
In total they served 400 customers over these three months
The algebraic expression of the situation above is 4x - 100 = 400
How to form an algebraic expression?Let
the amount of ice cream they serve in July = x + 100
the amount of ice cream they serve in June = x
They served twice as many customers in august as they did in June.
Therefore,
the amount of ice cream they serve in August = 2(x)
the amount of ice cream they serve in August = 2x
Therefore,
2x + x + x + 100 = 400
4x - 100 = 400
4x = 500
x = 500 / 4
x = 125
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From the diagram below, if
The possible values of x in the diagram are x = 25 and x = -1
How to determine the value of x?The given parameters are:
∠DAB = x² - 24x∠DAC = 25Both angles are congruent and adjacent angles.
So, we have:
∠DAB = ∠DAC
Substitute known values
x² - 24x = 25
Subtract 25 from both sides
x² - 24x - 25 = 0
Expand
x² + x - 25x - 25 = 0
Factorize
x(x + 1) - 25(x + 1) = 0
Factor out x + 1
(x - 25)(x + 1) = 0
Expand
x - 25 = 0 or x + 1 = 0
Solve for x
x = 25 or x = -1
Hence, the possible values of x are x = 25 and x = -1
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In South Africa, musicians who perform along the streets are called buskers, and must get a permit, which costs $30. They can make an average of $45 per night (n), depending on the area. Some choose not to get this permit, but need to stay in less populated areas in order to not get caught without a permit so they may only make an average of $15 per night. How many nights of work would have the performers making an equal amount total?
The number of night of work each performers will have equal amount is 1 night
How to find the time of work that the performers will have equal amount?The buskers gets permit which cost $30. They can make an average of $45 per night (n),
Therefore,
y = 45n - 30
Without a permit they may only make an average of $15 per night.
Therefore,
y = 15n
The number of night the money made are both equal.
45n - 30 = 15n
45n - 15n = 30
30n = 30
n = 30 / 30
n = 1
Therefore, the number of night of work each performers will have equal amount is 1 night
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6 x (3+2) divided by 10
Which of the following is the solution to | x1-5 ≤ -13?
OA. All values are solutions
OB. x≤-8.and x 28
OC. x≤ -8
OD. No solution
Answer:
C
Step-by-step explanation:
[tex]\textsf {Given :}[/tex]
[tex]\mathsf {x - 5 \leq -13}[/tex]
[tex]\textsf {Add 5 to each side of the inequality : }[/tex]
[tex]\mathsf {x - 5 + 5 \leq -13 + 5}[/tex]
[tex]\mathsf {x \leq -8}[/tex]
1. Marco got an amazing deal for 60% off a pair of running shoes. He paid $28 for the shoes (before taxes).
a.
Find the original price of the running shoes.
b. The sale price is
% less than the original price.
% of the original price.
C.
The sale price is
times the original price.
d.
The sale price is
Answer:
B
Step-by-step explanation:
You can not know the original price unless you know the taxes percentage.
4 less than a number times 2
Answer:
x-4*2
Step-by-step explanation:
Since we dont know the number, we can make it a variable. So, x is the unknown number.
4 less will mean subtraction. So. x-4.
Next we have to multiply with 2.
So, the expression is x-4*2.
The picture below shows the path a bon flies from the top of a 9.5 foot tall sunflower to a point
on the ground 5 feet away. What is the measure of angle x that the sunflower makes with the
ground?
Answer:
100.05
Step-by-step explanation:
9.5 and multiple it by 5