Answers
Answer:
Year(x) Predicted (ym) Residual(yd - ym)
1 39 0.135
2 49 -1.097
3 66 1.426
4 84 0.764
5 106 -1.292
Step-by-step explanation:
The formula for predicted (y_m) is given by the function;
f(x) = 30.151(1.289)^(x)
At x = 1;
y_m = 30.151(1.289)^(1)
y_m = 38.865
y_d - y_m = 39 - 38.865 = 0.135
At x = 2;
y_m = 30.151(1.289)^(2)
y_m = 50.097
y_d - y_m = 49 - 50.097 = -1.097
At x = 3;
y_m = 30.151(1.289)^(3)
y_m = 64.574
y_d - y_m = 66 - 64.574 = 1.426
At x = 4;
y_m = 30.151(1.289)^(4)
y_m = 83.236
y_d - y_m = 84 - 83.236 = 0.764
At x = 5;
y_m = 30.151(1.289)^(5)
y_m = 107.292
y_d - y_m = 106 - 107.292 = -1.292
Related Questions
Express the distance 440,000,000 meters using scientific notation in meters and then in millimeters. The distance 440,000,000 meters is expressed as how many meters in scientific notation.
Answers
.............................
Does 12,5,13 make a right triangle?
Answers
Answer:
YEs
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
Yes, a right triangle can have side lengths 5, 12, and 13.
can i get brainleist plz
Can anyone help me with this math equationv
Answers
Answer:
47/9
Step-by-step explanation:
5*9 = 45 +2 = 47
Let f(x) =
= -x + 1 and find f(-4).
Select the correct response:
f(-4) = -7
of(-4) = 5
o f(-4) = -5
o f(-4)=7
Answers
Answer:
o f(-4)=7
Step-by-step explanation:
Sana makatulong:,-)
f(-4) = -3/2(-4) + 1
f(-4) = 6 + 1
f(-4) = 7
Please help 10 points :)
Answers
Answer:
median: 6
range: 7
mean: 5.4
Step-by-step explanation:
median is the middle value
range is the highest value minus the smallest value
mean is the total of all values divided by the total data values (174÷32, in this problem)
The sum of the 1st nth term gp is 127.the sum of the reciprocal is 127/64,if the 1st term is 1.find n and the common ratio
Answers
Answer:
Ratio (r) = 2
n = 7
Step-by-step explanation:
The formula for the sum of the nth term of a G.P is given as:
Sn = a(1-r^n)/(1-r)
Where n = Number of terms
r = Common ratio
The sum of the 1st nth term gp is 127.
Hence:
127 = 1(1-r^n)/(1-r)
The sum of the reciprocal is 127/64
The formula is inverted , hence:
Sn = 1/a(1-r^n)/(1-r)
127/64 = r^(1-n)(1-r^n)/(1-r)
Hence:
1/64 = r^(1-n)
r^(n-1) = 64
r^(n-1) = 2⁶
Hence:
r = 2
Solving for n
n - 1 = 6
n = 6 + 1
n = 7
Therefore:
r = 2
n = 7
An airplane descends 1.6 miles to an elevation of 8.05 miles. Find the elevation of the plane before its descent.
Answers
Answer:
9.65 miles
Step-by-step explanation:
Given:
Final elevation = 8.05 miles
Change in elevation = 1.6 miles
Let Initial elevation which is the elevation before descent = x
Initial elevation - change in = final elevation
(-ve) sign because it was a descent
x - 1.6 = 8.05
x = 8.05 + 1.6
x = 9.65 miles
Hence, elevation before descent is 9.65 miles
Does anybody know the right answer?
Answers
Given:
A line passes through the points (9,9) and [tex](x_2,-1)[/tex].
The slope of the line is [tex]\dfrac{5}{6}[/tex].
To find:
The value of [tex]x_2][/tex].
Solution:
Slope formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The line passes through the points (9,9) and [tex](x_2,-1)[/tex]. So, the slope of the line is:
[tex]m=\dfrac{-1-9}{x_2-9}[/tex]
[tex]m=\dfrac{-10}{x_2-9}[/tex]
It is given that the slope of the line is [tex]\dfrac{5}{6}[/tex].
[tex]\dfrac{5}{6}=\dfrac{-10}{x_2-9}[/tex]
[tex]5(x_2-9)=-10(6)[/tex]
[tex]5x_2-45=-60[/tex]
[tex]5x_2=-60+45[/tex]
[tex]5x_2=-15[/tex]
Divide both sides by 5.
[tex]x_2=-\dfrac{15}{5}[/tex]
[tex]x_2=-3[/tex]
Therefore, the value of [tex]x_2[/tex] is [tex]-3[/tex].
What is the slope of the line that
passes through these two points?
(-1, 4)
(2, 2)
slope
[?
Answers
Answer:
-2/3
Step-by-step explanation:
2-4 / 2-(-1)
2-4 / 2+1
-2/3
Write a SIMPLIFIED inequality for x that would give a rectangle with a length of 4 meters and a width of x+7 meters an area of more than 128 meters squared.
Answers
Answer:
128 > 4*(x + 7)
Step-by-step explanation:
Given the following data;
Length = 4 meters
Width = x + 7 meters
Area = 128 m²
Mathematically, the area of a rectangle is given by the formula;
Area of rectangle = length * width
Substituting into the formula, we have;
128 > 4*(x + 7)
128 > 4x + 28
128 - 28 > 4x
100 > 4x
Dividing both sides by 4, we have;
25 > x
It is 2.3 from Debra's house to the nearest mailbox. How far is it in meters? Be sure to include the correct unit in your answer.
Answers
2.3 feet = 0.70104 meters
2.3 yards = 2.10312 meters
2.3 miles = 3701.49 meters
2.3 km = 2300 meters
If I didn’t happen to guess the units correctly, please lmk in the comments and I will try to answer more.
What is the formula for the volume of a prism?
What is the formula for the volume of a prism?
Answers
Answer:
Step-by-step explanation:
Base area * height
Answer:
i think that the answer is BH or Base area × Hight
Find x. Give your answer in
the simplest form.
Answers
Answer:
Step-by-step explanation:
We have the value of the hypotenuse and we are trying to find out the adjacent. This means we can use cos.
Cos (45) = x/10
10 * Cos (45) = 10 * (√2 / 2)
This should equal to 5√2
plz hurry, i will give brainliest
Answers
Answer:
The answer is " x = - 1 "
Step-by-step explanation:
[tex]9t^{2}[/tex] - 54t + 81 = 36t + 180
^ The you solve the equation
t = 11, t = - 1
^ and then verify the solution
t = - 11 ( False ), t = -1 ( True )
Answer = t = -1
HELP NEEDED ASAP HELP ME PLZ
Answers
Answer:
3
Step-by-step explanation:
105/7hrs
15/1hr
15/60min
0.25/per minute
0.25*12
= 3
HELP PLS ILL GIVE U 30 POINTS IF U ANSWER THIS PLEASE HELP
Answers
Answer:
your answer will be Option A.$3,207.40
Step-by-step explanation:
hope it helps...
have a great day!!
Answer:
A. $3,207.40
Step-by-step explanation:
Hope this helps
Two companies rent boats by the hour. The total cost, in dollars, c, depends on the number of hours, h.
The equations that represent the rental rates of both companies are shown.
Company A: c=15h + 20
Company B: c= 20h
• A person rents a boat from Company A for h hours and realizes they would have paid the same
amount if they had rented the boat from Company B. How many hours, h, did the person rent the
boat? Explain or show each step of your work
Verify that your solution for h hours of renting the boat is the same cost, c, for each company
.
Answers
Answer:
A(35)
B(35_20=15
Step-by-step explanation:
same as all above
2. The volume of a cylinder is 95 cubic centimeters. Which equation
can be used to find h, the height of the cylinderę Circle the correct
answer.
Answers
Given:
The volume of a cylinder is 95 cubic centimetres.
To find:
The equation that can be used to find h, the height of the cylinder.
Solution:
We know that, the volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
We know that the base of the cylinder is a circle and the area of the circle is [tex]\pi r^2[/tex]. So, the base area of the cylinder is [tex]B=\pi r^2[/tex].
Now, volume of the cylinder is
[tex]V=Bh[/tex]
The volume of a cylinder is 95 cubic centimetres.
[tex]95=Bh[/tex]
[tex]\dfrac{95}{B}=h[/tex]
[tex]h=\dfrac{95}{B}[/tex]
Where B is the base area of the cylinder.
Therefore, the correct option is G.
When a tree 8m high casts a shadow 3m long, how long is a shadow cast by a person 2m tall?
Answers
Answer:
3/4 meters
Step-by-step explanation:
We can use ratios to solve
8m 2 m
------- = -----------
3m x m
Using cross products
8*x = 3*2
Divide each side by 8
8x/8 = 6/8
3/4 meters
Answer:
x = 3/4 m
Step-by-step explanation:
Construct two similar right triangles that share an angle of elevation. The two vertical sides represent the heights of the person and the tree and are 2 m ad 8 m respectively. The two horizontal sides represent the shadow cast by the person and that cast by the tree, respectively. Because the triangles are similar, we can write the following equation of ratios:
8 m 3 m
--------- = --------
2 m x
... where x is the length of the shadow cast by the person.
Cross multiplying, we get:
8x = 6m, or x = 6/8 m, or x = 3/4 m
(2x+6) and the work to show it PLSS :)
Answers
You need to factor out the 2 from the expression which makes it 2(x+3)
A regular octagon is an eight-sided polygon with side lengths that are all equal. All three octagons are scale drawings of each other. Use the chart and the side lengths to compute each scale factor as a percent. How can we check our answers
Answers
Answer:
1.) 1.12/10= 1 2/10= 1.2% 10*1.2%=12
2.) 8/10=0.80% 10*0.80=8
3.)10/12=0.83% 12*0.83=10
%*whole
Find the median of the data in the box plot below.
eggs
Number of eggs laid
+
0
2
4
6
8
10
12
Answers
Answer:
median is 6(sub2pewdiepie)
Step-by-step explanation:
PLEASE HELP ME!!!!!!!!!!!!!!
Find the distance between a point (–3, 4) and a vertical line at x = 4. Question options: A) 8 B) –7 C) 1 D) 7
Answers
If your point is at -3 on the x coordinate and your vertical line at 4, just find the difference between the two with |(-3)-4|. That would give 7. Hope this helps
a first number plus twice a second number is 8 twice the first number plus the second totals 25
Answers
Answer:
The first number is 14
The second number is -3
Step-by-step explanation:
x + 2y = 8
2x + y = 25
Solving simultaneously,
2x + 4y = 16
2x + y = 25
On subtracting, we have
3y = -9
y = -3
Going to substitute for y, we have
x + 2(-3) = 8
x - 6 = 8
x = 14
what is the volume of the bench in cub feet?
Answers
Split it into two rectangles:
6 x 2 x 2 = 24
3 x 2 x 2 = 12
Now add:
24 + 23 = 36 cubic feet
An object has a mass of 180 kg and a volume of 6 m3.
Find the density of the object in kg/m3.
Answers
Answer:
30 kilogram/cubic meter
Step-by-step explanation:
Answer:
mass=180kg and the volume=6m³.
then the formula to find density is= mass/volume
using this formula,180kg/6m³=30kg/m³
The value of x is
and the value of y is
Answers
Answer:
Y = 50 degrees, X = 60 degrees
Step-by-step explanation:
Since we know that the sum of angles in a triangle is 180 degrees, we can find x easily. We already know that the other two angles are 50 and 70, which adds up to 120, and 180 - 120 is equal to 60 degrees, meaning that x is equal to 60 degrees. Next, to find the measure of y, we first know that the sum of angles on a line is equal to 180 degrees, and if we find the other angle on the line by subtracting 60 + 50 from 180, we can find y. 180 - (60 + 50) = 70 degrees, and since 70 + x + y = 180 and x = 60, we know that x = 180 - (70 + 60) = 50. Therefore, y is equal to 50 degrees.
Answer:
Step-by-step explanation:
6: What is the volume of a cylinder
with a diameter of 10 feet and a
height of 8 feet? Use 3.14 for 1.
cubic feet
Answers
Answer: 628 cubic feet
Step-by-step explanation: First, find the area of the circle. Using the formula "TTr^2", you can find the area of the circle. Since the diameter is given, and not the radius, divide 10 by 2, and it gives you 5. Now, use the formula. 5 x 5 = 25, and then multiply it by 3.14 which gives you 78.5. Now that we have found the area of the circle, multiply the area by 8 to find the volume of the cylinder. 78.5 x 8 is 628 cubic feet, and that is the volume of the cylinder.
Help please i need it thanks.
Answers
Answer:
x is less than or equal to 7
Step-by-step explanation:
Granny needs to paint a Loge made using two right triangles the dimensions Of the loge are shown below what is the difference between the area of the large triangle in the area of a small triangle
Answers
Answer:
The difference is
Step-by-step explanation:
Given
Large triangle
[tex]Base = 5cm; Height=9cm[/tex]
Small triangle
[tex]Base = 2cm; Height=6cm[/tex]
See attachment for logo
Required
The difference in their areas
Area is calculated as:
[tex]Area = 0.5 * base * height[/tex]
For the large triangle
[tex]Area = 0.5 * 5cm * 9cm[/tex]
[tex]Area = 22.5cm^2[/tex]
For the small triangle
[tex]Area = 0.5 * 2cm * 6cm[/tex]
[tex]Area = 6cm^2[/tex]
The difference (d) is calculated as:
[tex]d = 22.5cm^2 - 6cm^2[/tex]
[tex]d = 16.5cm^2[/tex]