so, start floor = x
x + 7 - 9 - 4 + 8 - 2 = 14
x = 14
the elevator started on the 14th floor.
to verify: 14 + 7 = 21 - 9 = 12 - 4 = 8 + 8 = 16 - 2 = 14
Plzzz Help!
Determine the recursive function that defines the sequence.
Answer:
A
Step-by-step explanation:
The recursive rule allows any term to be found by multiplying the previous term by the common ratio r
Here r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{20}{4}[/tex] = 5
Then
f(n) = 5 . f(n - 1) , for n ≥ 2 → A
The diagram above shows the quadrant OPQ centred at O.
ORST is a square.
Given OP = 10 cm and OR = 7 cm.
Calculate the area of the shaded region, in cm². State the answer in pi.
Answer:
the square is 49cm^2
A=pi(r)^2/4
A=pi(10)^2/4
A=100pi/4
A=25pi
25pi -49
29.5398
Step-by-step explanation:
Instructions: Find the missing side. Round your answer to the nearest
tenth.
22
х
50°
X =
Answer:
x = 16.9
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 50 = x/22
22 sin 50 =x
x=16.85297
To the nearest tenth
x = 16.9
PLS HELP ME ON THIS QUESTION!!!
Answer:
210 in³
Step-by-step explanation:
length = 10 in
Width = 7 in
Height = 3 in
Volume of rectangular prism = length * width * height
= 10 * 7 * 3
= 210 in³
Answer: Option D
210 in³
Volume of Rectangular prism = lwh
Height = 3in
Width = 7in
Length = 10in
Volume = 10(7)(3)
Volume = 210 in³
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Hi~! can someone help me with this~?
It costs 3 bowls and a jug 13.70, the jug costs $4.10 more that the bowl, how much does the jug cost-?
Thank u~!
Answer:
$6.50
Step-by-step explanation:
Let the cost of a bowl and a jug be $b and $j respectively.
3b +j= 13.70 -----(1)
j= b +4.10 -----(2)
Substitute (2) into (1):
3b +b +4.10= 13.70
4b +4.10= 13.70 (simplify)
4b= 13.70 -4.10 (-4.10 on both sides)
4b= 9.60
b= 9.60 ÷4 (÷4 on both sides)
b= 2.40
Substitute b= 2.40 into (2):
j= 2.40 +4.10
j= 6.50
Thus, the jug costs $6.50.
A Triangle with an area of 24 square feet has a side of length 10 feet. If all 3 sides are even integers, what is the perimeter of the triangle?
Answer:
24 ft
Step-by-step explanation:
so, we don't know anything else about the triangle ?
ok, let's see.
the area of a triangle is (a side length) × (the height from that side to the opposite corner) / 2
At = 24 = side × height / 2
48 = side × height = 10 × height
height = 48/10 = 4.8 = 24/5
let's say that the height on our known side splits this side into 2 parts, p and q (p+q = 10).
we can calculate the triangle side on the right hand side of our know side by calling it a and using Pythagoras :
a² = height² + q² = (4.8)² + q² = 23.04 + q²
as all sides have to be even integers, a² has to be an even square number larger than 23.04.
and because p+q = 10, we know q must be smaller than 10, and therefore q² smaller than 100.
the only candidates for a² are therefore 36 and 64 (6² and 8²).
in a similar way this applies to the left hand triangle side b tool.
b² = height² + p² = 23.04 + p²
with the same restrictions and possible solutions as a².
we have the possibilities that a = b = 6 or 8, or a = 6 and b = 8 (or vice versa).
let's rule out a=b :
a=b wound also mean p=q=5
then
a² = 23.04 + 5² = 23.04 + 25 = 48.04, which is not an even square integer. therefore, this assumption is wrong.
so, the only possible solution is a = 6 and b = 8 (or vice versa, but it did not matter which is which, as we only need the perimeter, which would be the same either way).
proof :
36 = 23.04 + 12.96 = 23.04 + q²
=> q = 3.6 ft
64 = 23.04 + 40.96 = 23.04 + p²
=> p = 6.4 ft
p+q = 3.6 + 6.4 = 10 ft
perfect, it fits, this is the correct solution
so, the perimeter of the triangle is
10 + 6 + 8 = 24 ft
Question 3
Suppose that we have a 3 ft x 3 ft piece of paper, and we cut out a square piece so that the area of the remaining piece is 5 feet. What is the length of a side of the square?
Answer:
2ft
Step-by-step explanation:
If you have a 3x3 you have a 9ft Sq paper. To have five feet left the removed square must be 4 square feet. 2x2 = 4 therefore 2ft per side
Subject: Finding Range Using a Graph
In 10 words or fewer, what numbers do you think are in the range of f(x)?
Answer:
4.7
Step-by-step explanation:
The red I think is hinting to the x.
Evelyn earned a score of 86 on Exam A that had a mean of 71 and a standard deviation of 20. She is about to take Exam B that has a mean of 550 and a standard deviation of 40. How well must Evelyn score on Exam B in order to do equivalently well as she did on Exam A? Assume that scores on each exam are normally distributed.
Answer:
580
Step-by-step explanation:
Assuming that the answer should be in terms of z scores, we can calculate the z score as
z = (observed value - mean)/(standard deviation)
For the first exam, the observed value is 86, the mean is 71, and the standard deviation is 20. The z score fot that exam is
z = (86-71)/20 = 0.75
Then, for the second exam, Evelyn has to do equivalently well, so the z score must be the same. Therefore, we have
0.75 = (observed score - 550)/40
multiply both sides by 40 to remove a denominator
0.75 * 40 = observed score - 550
add 550 to both sides to isolate the observed score
0.75 * 40 + 550 = observed score = 580
A father is 51 years old and his son is 19. How many years ago was the father 5 times his son's age?
Answer:
x=11
Step-by-step explanation:
51-x-5*19= -5x
51-5*19= -4x
4x=5*19-51
4x=95-51
4x=44
x=11
Step-by-step explanation:
let x year ago son age was 5 time his father age.
age of son before x year = 19-x
age of father before x year = 51-x
NOW
according to the question
5(19-x) =51-x
95-5x =51-x
95-51 = -X-5x
44 = 4x
x=11
so your ans is 11years ago
The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 40 inches. Is the result close to the actual weight of 372 pounds? Use a significance level of 0.05.
Answer:
y = 16.3216X - 330.3904
322 pounds;
Result is significant
Step-by-step explanation:
Given the data:
Chest size, x : 41,54,44,55,39,51
Weight, Y : 328,528,418,580,296,503
Using technology, the prediction model obtained by fitting the data is :
y = 16.3216X - 330.3904
Where, x = chest size ; y = weight
The best predicted weight of a bear with chest size of 40 is
Put x = 40 in the equation :
y = 16.3216(40) - 330.3904
Y = 322.4736
Y = 322 pounds
At α = 0.05
The regression Coefficient, R value obtained is 0.986 ; using this to obtain the Pvalue ;
df = n - 1
Pvalue(0.986, 5) = 0.00198
Since, Pvalue < α ; result is significant at α = 0.05
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Answer:
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SOMEBODY GET IT RIGHT FOR ME PLS I NEED HELP ITS PYTHAGOREAN THEOREM
Answer:
a^2+b^2=c^2
a^2=c^2-b^2
a^2=10^2-5^2
a^2=100-25
a^2=75
a=7.7cm
Step-by-step explanation:
Find the value of x.
A. 176
B. 256
C. 74
D. 128
Answer: D
Step-by-step explanation: Using the angle formed by two chords theorem, angle X is equal to 1/2 times the sum of the degree measures of the two arcs.
The angle x will be equal to 128 degrees. The correct answer is option D.
What are the Angles of Intersecting Chords Theorem?When two chords cross inside of a circle, the resulting angle's measure is equal to the product of the lengths of the arcs it intercepts and its vertical angle, divided by two.
The angle x will be calculated as below:-
Angle x = Sum of angles made by two intersecting chords / 2
Angle x = ( 54 + 202 ) / 2
Angle x = ( 256 / 2 )
Angle x = 128 degrees
Therefore, the angle x will be equal to 128 degrees. The correct answer is option D.
To know more about the Intersecting Chords Theorem follow
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Need help please with the step by step explanation
Answer:
exponential decay (0,8)
Step-by-step explanation:
TIME REMAINING
43:02
Which ordered pair makes both inequalities true?
y < –x + 1
y > x
On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, 0). Everything below and to the left of the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 1) and (1, 1). Everything above and to the left of the line is shaded.
(–3, 5)
(–2, 2)
(–1, –3)
(0, –1)
Mark this an
the answer of this question is (-2,2)
if x =2 y =3 find the value of x^2-xy^2+y^2
Answer:
i hope it will help
Step-by-step explanation:
I did not get the equation so I solve it with two methods
Write an equation in slope-intercept form for the line with slope -4 and y-intercept - 1. Then graph the line.
Answer:
I posted the steps in my photos for an answer.
Kay left her computer running for 2~ days. How many hours did she leave her computer running for?
she left her computer open for 48 hours
Alex owns 80 orange trees. He has estimated that there are between 35 and 40 oranges on each tree. Which is the closest estimate to the total number of oranges?
NEEDED ASAP will MARK THE CORRECT ONE
Answer:
→ m∠ABE + m∠EBC =180°
→ m∠ABF + m∠FED + ∠DBC =180°
→ ∠ABF ≅ ∠EBC
→ ∠ABE ≅ FBC
~OAmalOHopeO
Find the value of x for which ABCD must be a parallelogram
a. 0
b. 25
c. 4
d. 7
Answer:
d. 7
Step-by-step explanation:
A parallelogram has equal opposite sides that are parallel to each other. Therefore, opposite interior angles would be congruent to each other.
Thus:
3x - 17 = 25 - 3x
Add 3x from each side
3x - 17 + 3x = 25 - 3x + 3x
6x - 17 = 25
Add 17 to both sides
6x - 17 + 17 = 25 + 17
6x = 42
Divide both sides by 6
6x/6 = 42/6
x = 7
it's emergency pls.
Answer:
see above there is the answer sorry for rough
Please answer this!!
Answer:
BC = 6.8
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta =opp /adj
tan C = AB / BC
tan 45 = 6.8/ BC
BC = 6.8 / tan 45
BC = 6.8 / 1
BC = 6.8
Answer: Choice D. 6.8
Step-by-step explanation:
45,45,90 triangles, memorize that the short sides are equal to each other in length and are [tex]\frac{1}{\sqrt{2} }[/tex] the length of the long side.
geometry: follow directions below for each figure. Show steps. Circle answers. find the area of each figure.
HELP ASAP!!!!
THANK YOUUUUU
Answer:
575sq. ft
Step-by-step explanation:
The diagram given can be divided into two rectangles.
Area of a rectangle = length * width
Area of the larger rectangle = 15 * (45 - 10)
Area of the larger rectangle = 15 * 35
Area of the larger rectangle = 525sq. ft
Area of the smaller rectangle = 5 * 10
Area of the smaller rectangle = 50 sq. ft
Area of the room = 525 + 50
Area of the room = 575sq. ft
The measure of an exterior angle of a triangle is equal to the sum of the measure of the two ______ interior angles.
Fill in the blank question.
Please help.
Answer:
Step-by-step explanation:
The measure of an exterior angle of a triangle is equal to the sum of the measure of the two opposite interior angles.
Which expression is equivalent to….
Answer:
the answer is {2^5}
hope it helps :)
(2^1/2×2^3/4)^2
(2^(2/4+3/4))^2
(2^5/4)^2
2^(5/4×2)
2^(5/2)
√2^5
Answered by Gauthmath must click thanks and mark brainliest
Solve the system of equations:
v=2x-4
y=x2 - 4
The choose (D)
(0,-4) and (2,0)
Solve 2x−10y=18 for x.
Answer:
x = 5y + 9
Step-by-step explanation:
2x - 10y = 18
(2x - 10y) + 10y = 18 + 10y
2x - 10y + 10y = 10y + 18
2x = 10y + 18
x = 5y + 9
The distance AB rounded to the nearest tenth = [?]
Answer:
4.5 units
Step-by-step explanation:
Use the distance formula
[tex]\sqrt{(-1-3)^{2}+(-1-1)^{2} }[/tex]
[tex]\sqrt{16+4}=\sqrt{20}[/tex]
The distance AB on the diagram rounded to the nearest tenth is: 4.5 units
Meaning of DistanceDistance can me defined as a measure that tells us how far apart two objects or individual are to each other.
Distance is very important as it helps us know where exactly things are located and whether they are close or far apart
In conclusion, The distance AB on the diagram rounded to the nearest tenth is: 4.5 units
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