From the observation deck of a skyscraper, Bashir measures a 45^{\circ} the angle of depression to a ship in the harbor below. If the observation deck is 1057 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest hundredth of a foot if necessary.
Ross says a $125.95 skateboard at 40% off is cheaper than a $169.95 skateboard at 60% off. Is he correct?
Answer:
Ross isn't right.
Step-by-step explanation:
Skateboard $125.95 at 40% off is $75.57
How I got the number:
125.95/100 = 1.2595
1.2595 x 40 = 50.38
125.95 - 50.38 = 75.57
Skateboard $169.95 at 60% off is $67.98
169.95/100 = 1.6995
1.6995 x 60 = 101.97
169.95 - 101.97 = 67.98
Therefore the skateboard that is 60% off is cheaper.
.PLEASE HELP!!
Paul opens a savings account with $350. He saves $150 per month. Assume that he does not withdraw
money or make any additional deposits.
a. Write a linear model that represents the total amount of money Paul deposits into his account after m months.
b. After how many months will Paul have $2,000?
Answer:
350+150m=total money
11 months
Step-by-step explanation:
you just put in the number of months that have passed in for m and solve for total money.
After how many months will Paul have $2,000?
350+150m=2000
350-350+150m=2000-350
150m=1650
150m/150=1650/150
m=11
John is planning for retirement and wants to have an interest income of $3000 a year. How much Must he invest for one year at 8% interest
Answer:
240
Step-by-step explanation:
Write an equation in slope-intercept form for the line with slope -6 and y-intercept 7. Then graph the line.
Answer:
y = -6x + 7
Step-by-step explanation:
Slope-intercept form: y = mx + b
where:
m is the slopeb is the y-intercept (when x = 0)Given: a line with a slope of -6, and y-intercept of 7
Equation: y = -6x + 7
y-intercept: (0, 7)Randomly select x-values that will help you graph the equation:
when x = -2:
y = -6(-2) + 7 [multiply]
y = 12 + 7 [add]
y = 19
coordinate: (-2, 19)
when x = 1:
y = -6(1) + 7 [multiply]
y = -6 + 7 [add]
y = 1
coordinate: (1, 1)
when x = 2:
y = -6(2) + 7 [multiply]
y = -12 + 7 [add]
y = -5
coordinate: (2, -5)
These coordinates fall on the line for the linear equation. Graph them on a coordinate plane, and they should give you the line for the equation.
Please help me I'm really stuck and I can't get a red if I get this wrong I will
Answer:
-0.75
Step-by-step explanation:
(0 , 22) (12, 13)
=13 - 22/12 - 0
=-9/12
=-0.75
8 A circle passes through the points (0, 2) and (0,8) and its centre lies on the line
x=4.
Draw a sketch and find the equation of the circle.
Step-by-step explanation:
A circle that passes through point 0,2 and (0,8) and has a center that lies on x=4 is what given.
So we know is center (4,p) for some number p,
Since the points on circumference of the circle have the same x value, then we know that the y coordinate of the center must be the midpoint of the circumferences' y coordinates.
Why?
A circle is not a function since it doesn't pass the vertical line test. And the standard form of a circle is
[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]
With center (0,0).
Consider the equation
[tex] {x}^{2} + {y}^{2} = 9[/tex]
The radius is 3 so two points with x coordinate 0 is
(0,3) and (0,-3). And the midpoint of them is (0,0) which is the center. Which is the defining trait of all circles.
Now, back on hand, our the midpoint of 2 and 8 is 5 so our center is
(4,5).
Now, we must find the radius. We use distance formula.
For (4,5) and (0,8).
[tex]d = \sqrt{(8 - 5) {}^{2} + ({0 - 4) {}^{2} } } [/tex]
[tex]d = \sqrt{3 {}^{2} + {4}^{2} } [/tex]
[tex]d = \sqrt{25} [/tex]
[tex]d = 5[/tex]
So our radius is 5.
So now we use the equation of center h,k.
[tex](x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} [/tex]
H is 4
K is 5
[tex](x - 4) {}^{2} + (y - 5) {}^{2} = 25[/tex]
Above is sketch of graph.
Simplify 5^2 • 5^4
O A. 5^8
O B. 5^6
O C. 5•8
O D. 5^2
please I need help!!!!
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Slope: m
(-3,1) and (3,3)
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{3-1}{3-(-3)} =\frac{2}{6}=\frac{1}{3}[/tex]
Hope this helps!
All of the following are equivalent, except _____.
2 x + x
x(2 + 1)
3 x
2 x²
What is the solution to the system of equations below?
Answer:
(9,3)
Step-by-step explanation:
Answer:
x=9,y=3
Step-by-step explanation:
proportions in similar triangles. need help
Answer:
x = 6
Step-by-step explanation:
The angle bisector divides the triangle sides proportionally:
(6x -1)/42 = (10x +5)/78
13(6x -1) = 7(10x +5) . . . . multiply by 546 (the LCM of 42 and 78)
78x -13 = 70x +35 . . . . . eliminate parentheses
8x = 48 . . . . . . . . . . . . . . add 13-70x
x = 6 . . . . . . . . . . . divide by 8
_____
Additional comment
The unknown segment lengths are ...
6·6 -1 = 35
10·6 +5 = 65
Then the ratios to the known sides are ...
35/42 = 65/78 = 5/6
As part of a community service project at your highshcool you are organizing a fund raiser at the neighborhood movie theater money raised will benefit a summer camp for children with special needs the admission charge is 10.00 per person, 5.50 of which is used to pay the movie theaters rental fee, the remainder is donated to the summer camp fund what are the two variables involved in this problem
Answer:
Yes it is a function. It passes the vertical line test. In other words, it is impossible to draw a single vertical line through more than one point on the V shaped graph. Any input leads to exactly one output.
The domain is the set of all real numbers. This is because we can plug in any x value leading to some specific y value. There are no holes or gaps or jumps to indicate we must restrict any given x value. The domain would not be the set of whole numbers only because values between the whole numbers (eg: decimal values like x = 2.75) work just fine.
The range is the set of y values such that y is either 0 or larger than 0. In short, the range is . Notice how any point on the V shaped graph has a y coordinate that is either 0 or larger than 0. It is impossible to get a y value that is negative.
Step-by-step explanation:
Please help matimatik 10 points
Answer:
0.03
Step-by-step explanation:
Hope I helped
-Hunter Cross
Please mark Brainliest if Correct
I will give brainliest
Answer:
2,-5,-12,-19,-26
Step-by-step explanation:
-7n +9
-7(1) +9 = 2
-7(2)+ 9= -5
-7(3)+9 = -12
-7(4)+9 = -19
-7(5)+9 = -26
what does the maximum point represent in the function?
a. Y-Int
b. x=0
c. height
d.vertex
Pleaseee help me solve this and show work
Answer:
x
Step-by-step explanation:
The greatest common factor is x. This is the biggest term that each term can be divided by.
Simplify to a single power of 6:
Answer:
6^2
Step-by-step explanation:
When they are divided, just subtract the exponents. 5 - 3 = 2
Write the equation in Slope-Intercept form of the line that goes through the point
(3, 12) and has a Slope of 5.
Could someone help me with this please
Answer:
y = 5x + 12
Step-by-step explanation:
Help on Math I need answers As soon as possible if you can :) I will add you to brainlist thingy
Answer:
[tex]-5°F, 0°F, 2°F , 5°F , \\ 13°F, 20°F[/tex]
Hope it helps you<3a boy standing on a vertical cliff, 50m high is looking down an angle of depression of 20° at a car. How far is the car from the base from the cliff?
Can someone please help me, it's due in 30 mins
Answer:
explanation is in the diagram
2 2/3 lbs of rice cost $5.52. What is the cost of 1lb
Answer: I'm not fully sure but I think its 2.07
Answer:
$2.07 per pound
Step-by-step explanation:
we can rewrite 2 2/3 as 8/3
now we can create a proportion from cost to pounds of rice
5.52 is to 8/3 pounds as 'c' is to 1:
(5.52 ÷ 8/3) = c/1
cross-multiply to get:
8/3c = 5.52
multiply each side by 3/8 to get:
c = 5.52(3/8)
c = 2.07
=
Гу
Which function represents g(x), a reflection of f(x) = {
(3) across the y-axis?
90
f
4
2
1
O g(x) = 2(3)
O g(x) = -2(3x
o g(x) = {(3*
O g(x) = 2(3)*
-2
-3
Next
Submit
Mark this and return
Answer:
4th answer I believe
hope this helps
Which 2 numbers have a mean of 10 and a range of 4?
Answer:
12 and 8
Step-by-step explanation:
basic knowledge of math i guess
hope that helps love
your friend solved the equation 4x+24-2=7(4x+2) and got x=16. what error did your friend make? what is the correct solution?
Answer:
the correct answer is 3
Step-by-step explanation:
4x+24-2=7(4x+2)
4x+22=7*4x+2*7
4x+22=28x+14
4x-28x=14-22
-24x=-8
24x=8
x=3
Someone, please help
and instead of 10yd its 30yd
and instead of 20yd its 60yd
How many solutions does the system have? x y = 5 x y = 6 none one two infinite.
Answer:
none
Step-by-step explanation:
{ x=5-y
{ x=y=6
substitute the given value of x into the equation x+y=6
5-y+y=6
the equation for y
y∈⊘
Which model represents this word problem?
Pablo read 7 pages of his book. There are 13 pages left. How many total pages are in his book?
HELPP IM TRYING TO HELP MY FRIEND !! :((((
i think its the first one but im scared to hit it
it is the first one
Step-by-step explanation:
because I used my brain and its correct
Answer:
the first one is correct i believe
pls help i forgot how to do this
Find the area of the parallelogram.
Answer:
3484 [tex]ft^{2}[/tex]Step-by-step explanation:
Given,
The figure is of a parallelogram
Height (h) of the parallelogram = 52 ft.
Since,
In a parallelogram opposite sides are equal so,
Corresponding base to the height of the parallelogram is = 67 ft.
Therefore,
Area of the given parallelogram
= base × height
[On substituting their values]= 67 ft. × 52 ft.
[On multiplying]= 3484 [tex]ft^{2}[/tex]
Hence,
The required area of the parallelogram is 3484 [tex]ft^{2}[/tex] (Ans)
please help with a full explanation at the bottom i’ll mark brainliest
Answer:
240 employees or A
Step-by-step explanation:
12 employees : 2 instructors
or 6:1
so there are 40 instructor
so 6*40 equals 240 employees