Answer:
10 inches
Step-by-step explanation:
Hope it helps ......
a
Levi just started a running plan where he runs 8 miles the first week and then
increases the number of miles he runs by 5% each week. If he keeps up this plan for
19 weeks, how many total miles would Levi have run, to the nearest whole number?
Answer:
244 miles (nearest whole number)
Step-by-step explanation:
This scenario can be modeled as a geometric series.
From the information given:
[tex]a[/tex] (initial term) = 8 (miles)[tex]r[/tex] (common ratio) = 1.05 (as number of miles increases by 5% each week)[tex]n[/tex] = 19 (as the plan is for 19 weeks)The formula for the sum of the first n terms of a geometric series is:
[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]
Therefore, the sum of the first 19 terms is:
[tex]\implies S_{19}=\dfrac{8(1-1.05^{19})}{1-1.05}[/tex]
[tex]\implies S_{19}=244.3120313...[/tex]
Solution244 miles (to the nearest whole number)
So
It's a GP
we need Sum
[tex]\\ \rm\Rrightarrow S_n=\dfrac{a(1-r^n)}{1-r}[/tex]
[tex]\\ \rm\Rrightarrow S_{19}=\dfrac{8(1-1.05^{19})}{1-1.05}[/tex]
[tex]\\ \rm\Rrightarrow S_{19}=\dfrac{−12.21560156300510578244137725830078125}{-0.05}[/tex]
[tex]\\ \rm\Rrightarrow S_{19}=244.312\approx 244mi[/tex]
Heya !
⇢ [tex]\sf{What \: is \: \frac{32 \: x \: 2}{4} \: ?[/tex]
⇢ Remember you'll have to simplify about this.
⇢ Explain into your own words.
⇢ Don't copy/don't cheat.
⇢ Nonsense/Relevant answers, will be reported!
50 POINTS!
Thanks ~
Answer:
32 x 2
---------- = 16
.....4
To start off we can do 32 x 2.
32 x 2 = 64
Next, we divide 64 by 4 to equal the fraction 32 x 2 / 4.
64 divided by 4 = 16
In conclusion the fraction 32 x 2 / 4 is equal to 16.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Answer: hii
Step-by-step explanation:
A cone has a volume of 923.16 cubic meters and a height of 18 meters. What is its radius?
What do you think would be a good way to select a random sample of all the students at the 12 schools in the school district?
Step-by-step explanation:
At a birthday party, teams for a game are chosen by putting everyone's name into a jar, and then choosing the names at random for each team
Find the coordinates of the turning point for the equation of the graph below
y=x^2– 16x +39
=
Answer:
x = 8 - sqrt(y + 25)
Step-by-step explanation:
Step-by-step explanation:
comparing given equation with ax^2+bx+c;
a=1 b=-16 c=39
now,
x coordinate of vertex = -b/2a
= 16/2*1
= 8
again,
y coordinate of vertex = (8)^2-16(8)+39
=-25
Therefore, the turning point is (8,-25).
How much did each pack of yarn cost?? 22 points
Answer:
$13
Step-by-step explanation:
89 = 11 +6x
78 = 6x
x = 13
Answer:
13 dollars
Step-by-step explanation:
89-11=78
78/6=13
Identify the quadrants in following coordinate plane
I NEED ANWSER FAST!!!!!
Answer:
Step-by-step explanation:
starting from the upper right corner and going counterclockwise.
upper right: I
upper left: II
bottom left: III
bottom right: IV
Lauren has a balance of $140. 15 in her checking account. She uses her debit card to pay $85. 75 for a concert ticket. What is the balance in her checking account now?
$54.4
hope it really helps...!!!
jake finishes piano practice at 2:45 p.m. after practicing for 37 minutes. What time does Natalie’s practice start? Natalie’s practice starts at __________ p.m.
Answer:
3:22
Step-by-step explanation:
look at the expression below. 1/2 (a+b) - (a-b)2. what is the value of the expression when a = 18 and b = 14?
A 32
B 12
C 8
D 0
Answer:
8
Step-by-step explanation:
[tex]=\frac{1}{2}(a+b)-(a-b)\times2\\\\= \frac{1}{2}(18+14)-(18-14)\times2\\\\= \frac{1}{2}(32)-(4)\times2\\\\=16-8=8[/tex]
In a right triangle, sin(β) = 0.292. If the hypotenuse of the triangle has a length of 17.5 cm, what is the length of the side adjacent to angle β. Note: You will also need to use the Pythagorean theorem to answer this question.
16.7 cm
5.1 cm
11.4 cm
4.1 cm
So, the length of the side adjacent to angle β is approximately 17.15 cm. triangle Therefore, the closest option is 16.7 cm.
What is a triangle?A triangle is a closed, double-symmetrical shape composed of three line segments known as sides that intersect at three places known as vertices. Triangles are distinguished by their sides and angles. Triangles can be equilateral (all factions equal), isosceles, or scalene based on their sides. Triangles are classified as acute (all angles are fewer than 90 degrees), good (one angle is equal to 90 degrees), or orbicular (all angles are higher than 90 degrees) (all angles greater than 90 degrees). The region of a triangle can be calculated using the formula A = (1/2)bh, where an is the neighbourhood, b is the triangle's base, and h is the triangle's height.
sin(β) = opposite/hypotenuse
[tex]hypotenuse^2 = adjacent^2 + opposite^2\\17.5^2 = adjacent^2 + opposite^2\\306.25 = adjacent^2 + opposite^2\\[/tex]
opposite = sin(β) x hypotenuse = 0.292 x 17.5 = 5.095 cm
[tex]306.25 = adjacent^2 + 5.095^2\\306.25 - 5.095^2 = adjacent^2\\294.81 = adjacent^2\\[/tex]
√294.81 = adjacent
So, the length of the side adjacent to angle β is approximately 17.15 cm. Therefore, the closest option is 16.7 cm.
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What two numbers multiply to egalitarian -35 and add to equal -2
Using a system of equations, it is found that the numbers are 5 and -7.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, we say that the numbers are x and y.
They multiply to -35, hence:
xy = -35.
They add to -2, hence:
x + y = -2 -> y = -2 - x
Replacing on the first equation:
x(-2 - x) = -35
-x² - 2x + 35 = 0
x² + 2x - 35 = 0
(x + 7)(x - 5) = 0
x = -7 -> y = 5
x = 5 -> y = -7
Hence the numbers are 5 and -7.
More can be learned about a system of equations at https://brainly.com/question/24342899
Please Evaluate These Expressions:
1. 18 • (7+2²) ÷ 3 - 40 =
2. c² - y ÷ 2 =
Hint:
For Question two c = 6 and y = 16
1. -33.963333
2. 28
but i'm not sure
( Find the Mean Absolute Deviation and the Mean with an explanation )
How many siblings do the students in my math class have?
3,2,2,5,4,1,3,4,1,0,3,2,1,1,6,3
The mean of the data is 1.31, while the mean absolute deviation is 2.56.
What is the Mean Absolute Deviation?The mean is the average of a data set, while the mean absolute deviation is the average distance of the each data point from the mean.
Given the data:
3,2,2,5,4,1,3,4,1,0,3,2,1,1,6,3
Find the Mean:
Mean = (3 + 2 + 2 + 5 + 4 + 1 + 3 + 4 + 1 + 0 + 3 + 2 + 1 + 1 + 6 + 3)/16 = 41/16 Mean = 2.5625
Find the Mean Absolute Deviation:
Mean abosolute deviation = (3 - 2.5625) + (2 - 2.5625) + (2 - 2.5625) + (5 - 2.5625) + (4 - 2.5625) + (1 - 2.5625) + (3 - 2.5625) + (4 - 2.5625) + (1 - 2.5625) + (0 - 2.5625) + (3 - 2.5625) + (2 - 2.5625) + (1 - 2.5625) + (1 - 2.5625) + (6 - 2.5625) + (3 - 2.5625) / 16
Mean abosolute deviation = 21/16 = 1.3125
Therefore, the mean of the data is 1.31, while the mean absolute deviation is 2.56.
Learn more about the mean absolute deviation on:
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State reasons why these two triangles are congruent
The length of a rectangular garden is 2 m greater than the width. The area is 80 m^2. Find the dimensions of the garden.
The width of the garden is ___m.
The length of the garden is ___m.
Answer:
Length of rectangle = 10 mWidth of the Rectangle = 8 mStep-by-step explanation:
Given :-
Length of a Rectangular garden is 2m greater than the width .Area of garden = 80 m²To Find :-
Dimensions of the gardenSolution :-
Let's assume:
Width of the rectangle = xLength of the rectangle = x + 2We know that,
Area of rectangle = Length × Width↠ (x)(x + 2) = 80
↠ x² + 2x - 80 = 0
↠ x² + 2x - 80 = 0
↠ x² + 10x - 8x - 80 = 0
↠ x(x +10) -8 (x + 10) = 0
↠ (x-8) (x + 10) = 0
↠ x = 8 or -10
↠ x = 8
Hence,
Width of the rectangle = x = 8 mLength of the rectangle = x + 2 = 10 mAnswer:
Given:-
Length of rectangular garden is 2m longer than its widthArea of Rectangular garden is 80m²To Find :-
Dimensions of Rectangular gardenSolution:-
Let the width be x and length be x + 2According to the question ,
Area = 80m²
putting the known values ,
(X)(X+2) = 80m
x² +2x - 80= 0
x² +10x-8x -80m= 0
x(x + 10) - 8(x+10) = 0
(x-8) = 0 ; (x+10) = 0
X = 8 ; X = -10
As dimensions can not be negative so , X = 8Length = X + 2 ; 10 m
Width = X ; 8 m
11] You buy a house for $175,000. The economy goes
down and your house is losing value at 4% semi-annually.
How much is your house worth in 5 years?
Answer:
4% of 175,000 is 7,000
7,000x 5=35,000
175,000-42,000 equals 140,000 the value of the house
Given: AD = BC and AD || BC
Prove: ABCD is a parallelogram.
Answer:BC AND AD is parellogram since it has sides.
Step-by-step explanation:
Xin leans a 26-foot ladder against a wall so that it forms an angle of 78^{\circ} ∘ with the ground. What’s the horizontal distance between the base of the ladder and the wall? Round your answer to the nearest hundredth of a foot if necessary
The ladder and the wall it leans on are illustrations of right triangle
The horizontal distance from the base of the ladder is 5.41 feet
How to determine the horizontal distance?The given parameters are:
Length (L) = 26 feet
Angle of elevation (θ) = 78 degrees
The horizontal distance (D) is calculated using the following cosine ratio
cos(θ) = D/L
Substitute known values
cos(78) = D/26
Make D the subject
D = 26 * cos(78)
Multiply
D = 5.41
Hence, the horizontal distance from the base of the ladder is 5.41 feet
Read more about right triangles at:
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Answer:
5.41 Feet
Step-by-step explanation:
(3x+6)^2
Please show the work step-by-step, thank you! <3
a 2014 mustang originally costs $25000.00 and depreciates at a rate of 8% per year. What is the cost of the car after 7 years?
To estimate the number of students in your school who play a sport outside of school, you decide to survey the players on the boys' baseball team.
What percent of the time did she eat at most 8 cookies?
Answer:80%
Step-by-step explanation:8/10×100
If a = −3, then a + a2 − a3 + a4 − a5 = _____
whats the value of -15-9+(-7)?
A. -31
B. -17
C. -13
D. -1
Answer:
Step-by-step explanation:
-15-9+(-7)
answer: A, -31.
hope this helps! mark me brainliest as well please.
Answer:
-31
Step-by-step explanation:
you can subtract -15 and -9 which equals -24. After that, you can just subtract it by 7 . because +(-)= - so -15-9-7= -31
Four friends went to the movies.
Each person bought a movie ticket, and the total the four friends spent on the tickets was $52.
Which equation can be used to find the cost of each ticket?
4+2 = 52
B 2 - 4 = 52
4.3 = 52
© = 52
Answer:
C. 4x = 52
Step-by-step explanation:
If each person spent $x,
then the total amount spent will be 4x
we already know that the total amount spent is 52
so, 4x = 52
Answer:
4x=52
Step-by-step explanation:
[tex]let \: the \: price \: for \: each \: ticket \: be = x \\ since \: four \: persons \: bought \: the \: ticket \: \\ 4x = 52 \\ the \: equation \: for \: each \: ticket \: will \: be \: \\ 4x = 52[/tex]
the diagram shows a right angled triangle.what is the value of h
Answer:
I got the answer as h=8.184cm
=
5. If p(x) = 1/2(x–5)^2+ 14, what is the
value of p(3)?
Answer:
i think since p(x) = p(3)
Step-by-step explanation:
then p(3) = 3
where you see x add 3
so 1/2(x-5)^2 + 14
1/2(3-5)^2 + 14
1/2(-2)^2 + 14
1/2 x 4 + 14
cancel out 4 by 2 ( divide)
you get 2 + 14
16.
p(x) = 16.
Hope this helps .
50 points!
Ahmed needs to take a close-up shot of an orange for his art class. He frames a shot of an orange as shown below, so that the lines of sight form tangents to the orange. If the measure of the cameras viewing angle is 34 degrees, what is angle ACB?
Answer:
either 34 or 214
Step-by-step explanation:
Please help! The possible answers and the question are in the photo below.
Answer:
B
Step-by-step explanation:
The average is in the limits