HELP. the staircase at the lighthouse tower has between 80 and 90 steps. if matt goes 2 steps at a time then 1 step is left at the end. If he goes 3 steps at a time then 2 steps are left. If he goes 4 steps at a time then 3 steps are left. How many steps are in the staircase?
Answer:
90
Step-by-step explanation:
start from the beginning, then if you go 2 steps at a time, then you have 1 step left over at the end, let's assume the length of the stair case is x, so then we will be going up 2/3x steps, and have 1/3 x steps left.
2/3 x = somewhere between 80 and 90, so that means it must be divisible by 3, so 81,84,87,90
3/5 x ==> only 90
Tom plans to build up his RRIF (Registered Retirement Income Fund) by making regular deposits into his RRSP
(Registered Retirement Savings Plan) now. When he retires 22 years from now, Tom would like to receive
$2,000 at the end of every six months for seventeen years. Assume the interest rate for both the RRSP and
RRIF will be 5.05% compounded semi-annually.
1) How much would Tom have to have in the RRIF at the beginning of his retirement to receive these payments
of $2,000 each at the end of every six months?
$
2) What payment will Tom have to regularly make now at the end of every six months into his RRSP so that
there is enough money in the RRIF at the start of his retirement?
evaluate 102 what is the answer
Answer:
10404
Step-by-step explanation:
Question 9 of 20
Which of the following is a polynomial?
A. 11x
B. 2x2 - X
C. 3x2 +6x
D. 1-5x2
X
Answer:
3x2+6x is a polynomial. Polynomials are algebraic expressions in which the variables have only non-negative integer powers. For example,: 5x2 - x + 1 is a polynomial.
Is there a proportional relationship between the area and radius of a circle?
Answer:
is this free choice?
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
Since A=pi x r2 There is a proportional relationship .
Baker leaves his house and drives 10 miles north then 24 miles west to Tellus Science Museum. If
Baker could drive in a straight line from his house to the museum, how many miles would he save?
How many miles is the normal route?
How many miles is the straight line?
How many miles would Baker save? (Hint: subtract the two.)
Answer:
34
26
8
Step-by-step explanation:
y=−4x−3 y=−2x+1 ( Ignore this part i had to write it)
Answer:
Solve equation [2] for the variable y
[2] y = -2x + 1
// Plug this in for variable y in equation [1]
[1] (-2x+1) + 4x = -3
[1] 2x = -4
// Solve equation [1] for the variable x
[1] 2x = - 4
[1] x = - 2
// By now we know this much :
y = -2x+1
x = -2
// Use the x value to solve for y
y = -2(-2)+1 = 5
Solution :
{y,x} = {5,-2}
Find 40% of 60 please help i am really struggling!!!
Answer:
24 is the answer
Step-by-step explanation:
The first thing you would do is to convert from percent to decimal, divide the percent without the percent symbol by 100.Thus, 40%=40100=0.4. 40% 60 is just 0.4⋅60=2440% of 60
40/100x60
=0.4x60
=24
In the xy-coordinate plane shown, line L passes through point C and has a slope of -2. A dilation of line L with center A and a scale factor of 3 will produce a new through point C’, the image of point C with coordinates
Answer:
Step-by-step explanation:
Dilation of a line about a point not on the line shifts the line but leaves the slope intact .
New line slope will be -2
As both A and C lie on a horizontal line y = 2, C' will also lie on the same line
The distance between A and C is 0 - 2 = -2
a scale factor of 3 means C' is -2(3) = -6 units left of A
C' = (2 - 6, 2) = (-4. 2)
Use properties of addition to find each sum mentally. Show
your steps and identify the properties that you used.
1. 9 + 6 + 31 =
What is 21 divided by 654
Answer:
Well your saying division but it looks like square root when you make the sharp edge there but I will answer the division one
so 21 goes into 65 3 times maximum
so 21*3 is 63
so we subtract 63 and put a 3 on top
so eventually you’d get 31.142857 (never ending decimal)
So you can convert into a fraction, at this rate I’d just put it in a calcualtor and it‘ll do it for you
so 31 1/7 is the final answer
Suppose that the hemoglobin levels among healthy females are normally distributed with a mean of 14 gdL. Research shows that exactly 95% of healthy females have a hemoglobin level below 15.9 gdL. What is the standard deviation of the distribution of hemoglobin levels in healthy females
Answer:
The variation in haemoglobin values in healthy human beings is relatively large; in women aged 18–49 years the mean haemoglobin concentration is 140 g/l while the value 2 standard deviations (SD) below the mean is 120 g/l, a difference of about 14%.
Need Done ASAP Please Help will give brainliest
How does the graph of g(x) = −(x + 3)4 compare to the parent function of f(x) = x4?
A. g(x) is shifted 3 units to the right and 1 unit up.
B. g(x) is shifted 3 units to the right and 1 unit down.
C. g(x) is shifted 3 units to the right and reflected over the x-axis.
D. g(x) is shifted 3 units to the left and reflected over the x-axis.
The difference between the functions f(x) and g(x) is the addition of a
constant to the value of x and changing
the sign of the output.
The graph of g(x) compared to f(x) is g(x) is shifted 3 units to the left and
reflected over the x-axis.
Reason:
The addition of a positive constant term to the input variable of a function,
shifts the graph to the left of the graph of
the parent function.
Please find attached the image of the graph of f(x), which is g(x) shifted to
the left by 3 units.
Step-by-step explanation:
Changing the sign of the output value from positive to negative;
When the output value of a function is changed from positive to negative,
and vice versa, it is equivalent to a reflection across the x-axis.
Therefore, the function g(x) is a reflection across the x-axis.
Therefore;
g(x) is shifted 3 units to the left and
reflected over the x-axis.
Can someone please help me I will mark u brilliant
*HIGH SCHOOL* please help me with this
Answer:
Not quite in proof format but here's a short explaination. You should be able to fill out the table yourself.
It is given that <T=<Y and <V+<U=180 degrees
<T=<Y are corresponding angles. Corresponding angles are congruent when the two lines (that the third line crosses to make a transversal) are parallel. So, l1 and l2 are parallel.
<V+<U are supplementary angles. They are same side interior angles. Same side interior angles are supplementary when two lines of the transversal are parallel (basically same thing as above, just different type of angle). So, l3 and l4 are parallel.
<R=<U because they are alternate interior angles. Alternate interior angles are congruent when the two lines are parallel (you have proved that l3 and l4 are parallel above).
<P=<C because they are alternate exterior angles. Alternate exterior angles are congruent when the two lines are parellel (you have proved that l1 and l2 are parallel above).
2. If a= 2, b= 3 and c= 3,evaluate: i) a+ 2b ii) a+b+c
Answer:
[tex]i)a + 2b = 2 + 2(3) = 2 + 6 = 8 \\ ii)a + b + c = 2 + 3 + 3 = 2 + 6 = 8[/tex]
Answer:
a = 2, b = 3 and c = 3
i.)a + 2b
2 + 2(3) = 2 + 6 = 8
ii.)a + b + c
2 + 3 + 3 = 8
Thus, The answer of i.) is 8 and ii.) is 8
-TheUnknownScientist 72
Original domain and range:
D: [-1,1] R: [0,1]
What is the domain and range of
y= f(x+2)+1
Step-by-step explanation:
if I understand correctly, then f(x) has the domain of [-1, 1] and the range of [0, 1].
the domain of a function is the interval or set of the valid values of x. and the range is the interval or set of the valid values of y.
the new function we could call g(x) is
y = f(x+2) + 1
so, remember, f(x) is only defined for x values of of [-1, 1].
the argument of f(x) must never be outside that interval, or it is undefined.
the new function now uses f(x) in the form of f(x+2). that means, if we use the same x values as for the original f(x) we would land mostly in undefined areas (only x=-1 would work), because we would use f(x) with argument values from 1 to 3.
how can we regulate this back to the valid interval of -1 to 1 ?
by saying that the domain of g(x) is actually 2 less than the domain of f(x) : [-3, -1]
the "+ 1" at the end changes the range. g(x) has then a range interval that is greater by 1 than the range interval of basic f(x).
so, it is [1, 2]
write an equation of the line with a slope of -8 and a y-intercept of 2
Answer:
y=−2x+8
Step-by-step explanation:
https://socratic.org/questions/how-do-you-write-an-equation-of-a-line-with-slope-2-y-intercept-8
find the quotient of [tex]\frac{(x^{3} - 2x^{2} + 6x + 3)}{ (x - 3)}[/tex] using long division
If the quotient of 5/8 and 1/4 is subtracted from the product of 1 1/2 and 3 1/5, what is the difference?
Answer:
.,l;'fnfcy
Step-by-step explanation:
gvnjd,g,ufk,lnm;lh;;rkiyltoltlt8tioll
The length of a rectangle is 2 inches more than its width. The area of the rectangle is equal to 12 inches more than three times the perimeter. Find the length
and width of the rectangle.
Answer:
Step-by-step explanation:
The length of a rectangle is 2 inches more than its width. The area of the rectangle is equal to 12 inches more than three times the perimeter. Find the length
and width of the rectangle.
5/12+(-3/4) what is the answer
Answer:
-1/3
Step-by-step explanation:
Answer:
-1/3
Step-by-step explanation:
5/12+(-9/12)
5/12 - 9/12 = -4/12
-4/12 = -1/3
how much is 80+198 in fractions
Answer:
278/1
Step-by-step explanation:
The question is kind of unclear... though this is 80+198 simplified.
Hope this helped! :)
Maria is recording the percentages she earned on each quiz in her math class. Here are her results for the last 7 quizzes.
59, 61, 83, 67, 81, 80, 81
Find the range of the data set.
hello! someone please answer this. this is due tomorrow, Monday and I don't get any of it. ty!
Answer all for brainliest asap pls
Answer:
See below:
Step-by-step explanation:
For the first one, we know <ABC is 90 degrees due to it being a rectangle.
Since we know that, the angles in that triangle are 41 degrees 90 degrees and y degrees (y is <AEB) in this case.
We know that the sum of angles in a triangle are 180 degrees therefore:
If we solve that, we get that y is 49 degrees.
Now to get x, we know its a supplementary angle, therefore 61 degrees + 49 degrees + x = 180 degrees.
We now know that x is 70 degrees
For the second one, since its an equilateral triangle, we know that all angles inside of it are 60 degrees.
What we can do is first find what <XZW is by subtracting 60 from 180 due to the supplementary angles theorum.
Therefore <XZW is 120 degrees.
Now, all angles inside a triangle are always 180 degrees so therefore:
[tex]x=180-(120+32)\\x=28[/tex]
For the final one, we know that <QRP is equal to 64 degrees due to the bottom two triangles of an isoceles triangle being equal.
On that, we get 23 degrees for the last one due to supplementary angles + 180 deg in triangle.
please help me!!! I'll give you 40 points.
construct the bisector of the following figures
Answer:
divide the given line into halves
Find the measure of the exterior angle.
(5x+2)
6x
90
y = 138
Step-by-step explanation:
6x + 5x +2 = 90°
11x = 90 - 2
11x = 88
x = 8
5x + 2 + y = 180
5(8) + 2 + y = 180
40 + 2 + y =180
42 + y = 180
180 - 42 = y
y = 138
A person consuming 1600 calories a day and 92 grams of this is fat what would be the percentage of this would the division be 92x4 368÷1600 getting an answer of 0.23 I'm I doing this correctly
Answer:
i think ur on the right path
Step-by-step explanation:
if it is looking for the percent it would be 23%
Example #1: The ratio of the length to width in a rectangle is 2:7. If the length of the rectangle is 11cm,
what is the width of the rectangle?
Answer:
37.5cm sifjueikksksoowi
Answer:
38.5 = width
Step-by-step explanation:
