Answer:
D. exponential; y = 98 • 0.79x
Step-by-step explanation:
Answer:
Option D is correct.
Exponential model are the data best represented.
Equation:
Step-by-step explanation:
An exponential function is in the form of .....[1] where a is the initial value and b≠0 , b > 1.
Consider any two points from the table;
(0, 98) and ( 1, 77)
Then substitute these in [1];
For (0, 98)
x = 0 and y = 98 substitute in [1] we get;
98 = a
Similarly, For (1, 77)
we have;
77 = ab
Substitute the value of a =98 we get;
Divide both sides by 98 we get;
⇒ b = 0.79
We get an equation;
Therefore, the data represent here is, Exponential function.
also, an equation to model the data is;
...............................................................................................................................................
All the functions grow with x except B that decreases when x grows. That i your function. Also check that when you divide the population of two consecutive years, the ratio remains 0.79 approx
The solution is D
...............................................................................................................................................
Exponential would be the correct answer I believe...
...............................................................................................................................................
For a better understanding of the explanation provided here please find the attachment.
The solution will employ the use of the trial and error method and basic math.
As can be see from the given data, the deer population keeps on falling from the year zero. Thus, we can safely conclude that the quadratic and the linear models will not represent the situation at all.
We are left with the exponential model and since we have in it we can see that the deer population will fall as the years pass.
We have checked it in the table that has been provided and we have concluded that the data is best represented by the exponential model because when the exponential formula is applied it is almost equal to the actual number of deers.
Please check the attached table for a better understanding.
Which graph has a correlation coefficient, r, closest to 0.95
Answer:
A correlation coeff close to +1 would have a positive slope, and all dots representing the data set would be quite close to the regression line.
Correlation is a measure of association between two variables. IF there is a perfect linear association then correlation would be nearer to 1.
Correlation always lies between -1 and +1.
If between-1 and 0 we say there is a negative correlation.
If nearer to 1 than to 0 then we say strong correlation
Here given correlation is 0.95 i.e. positive and have almost perfect linear relation.
Hence we see that Graph C shows almost linear relationship with slope positive
So option C is answer
calculate the area of a sector with radius 13m and angle 93
Answer:
137.16
Step-by-step explanation:
we have a formular of the area of a sector:
S= pi*(its angle)/360*R^2
so apply to it
S= pi*(93/360)*13^2=137.16
Find the measure of one exterior angle for the following regular polygon that’s for both questions
Answer:
Step-by-step explanation:
find the shaded area...
Answer:
148°
Step-by-step explanation:
The central angle is twice the angle at the circumference, subtended on the same arc.
shaded angle = 2 × 74° = 148°
I need help ASAP!! Please explain how to solve the problem
Answer:
area of base = pi x radius^2 = (ill use 3.14 as pi)
3.14 x 7^2 = 153.86 in^2
height = 12
circunference of base = 2 x pi x radius or pi x diameter (diameter = 2 x radius) = 3.14 x 14 = 43.96 in
surface area = perimeter of base x height (lateral area) + 2 x area of base
= 43.96 x 12 = 527.52 + 2(153.86) = 835.24
hope that answers your question
(be careful, i generally use 3.14 as pi, but if your question says to use other forms as pi, then just replace pi as what the question asks, ive given you the formulas on how to calculate area and circumf., so i hope it should be easier...)
Please help me understand
Answer:
B. slope 1/4, y-intercept at ( 0, 5)
Step-by-step explanation:
slope m = change in y /chance in x = 5-4 / 0-(-4) = 1 / 4
the y-intercept is the point where the graph of the line intersects the y-axis so will have the coordinates (0 because x will be 0 if the point is on the y-axis, and y is a number) so is (0, a number)
we are given that one of the points is (x=0, y=5) so this is our y-intercept
OR
the slope intercept form equation of a line y= mx+b, where b is the y-intercept
y = (1/4)x +b, for the point (0, 5) we substitute x=0, and y=5
5 = (1/4)*0 +b
5 = b
Composition of Transformations - Item 4829
The red figure is the transformed image of the blue figure.
Tanya correctly identifies a sequence of two transformations that can move the blue
figure onto the red figure.
Kurt correctly identifies a single transformation that can be used.
Use the drop-down menus below to complete the statements describing the
transformations they used.
Answer:
Tanya is reflect y axis and then 90 degrees.
Kurt is reflect over y=x
Have an amazing day! Hope This Helps :)
I want answer for third question
3rd**
(1/1+sintheta)=sec^2theta-secthetatantheta pls help me verify this
Answer:
See Below.
Step-by-step explanation:
We want to verify the equation:
[tex]\displaystyle \frac{1}{1+\sin\theta} = \sec^2\theta - \sec\theta \tan\theta[/tex]
To start, we can multiply the fraction by (1 - sin(θ)). This yields:
[tex]\displaystyle \frac{1}{1+\sin\theta}\left(\frac{1-\sin\theta}{1-\sin\theta}\right) = \sec^2\theta - \sec\theta \tan\theta[/tex]
Simplify. The denominator uses the difference of two squares pattern:
[tex]\displaystyle \frac{1-\sin\theta}{\underbrace{1-\sin^2\theta}_{(a+b)(a-b)=a^2-b^2}} = \sec^2\theta - \sec\theta \tan\theta[/tex]
Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:
[tex]\displaystyle \displaystyle \frac{1-\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta \tan\theta[/tex]
Split into two separate fractions:
[tex]\displaystyle \frac{1}{\cos^2\theta} -\frac{\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta\tan\theta[/tex]
Rewrite the two fractions:
[tex]\displaystyle \left(\frac{1}{\cos\theta}\right)^2-\frac{\sin\theta}{\cos\theta}\cdot \frac{1}{\cos\theta}=\sec^2\theta - \sec\theta \tan\theta[/tex]
By definition, 1 / cos(θ) = sec(θ) and sin(θ)/cos(θ) = tan(θ). Hence:
[tex]\displaystyle \sec^2\theta - \sec\theta\tan\theta \stackrel{\checkmark}{=} \sec^2\theta - \sec\theta\tan\theta[/tex]
Hence verified.
Give an example of a trinomial with a GCF of 6a.
9514 1404 393
Answer:
18a +42ax +24az
Step-by-step explanation:
6a(3 +7x +4z) = 18a +42ax +24az
__
Additional comment
In order for 6a to be the GCF, the terms inside parentheses cannot have any common factors.
Doubling both the area of the bases and the height of a prism doubles its volume. T/F
Answer:
True.
Step-by-step explanation:
Answer: False
==========================================================
Explanation:
Let's consider a prism that has dimensions of
L = 3 ft W = 4 ft H = 5 ftand we'll say that the base is a rectangle with length L and width W. The area of the base is L*W = 3*4 = 12 sq ft. The volume of this prism is L*W*H = 3*4*5 = 60 ft^3
If we double the area of the base, then we go from 12 ft^2 to 24 ft^2. If we double the height, then we go from 5 ft to 10 ft.
The new volume of this larger prism is (area of base)*(height) = (24)*(10) = 240 ft^3
The jump from 60 ft^3 to 240 ft^3 is not "times 2". Instead, the multiplier is 240/60 = 4. This example shows that the volume has been quadrupled.
(a) An angle measures 40°. What is the measure of its complement?
(b) An angle measures 63°. What is the measure of its supplement?
Answer:
see below
Step-by-step explanation:
Complements add to 90 degrees
x+40 = 90
x = 90-40
x = 50
Supplements add to 180
y+63 =180
y = 180-63
y = 117
If the sum of the measures of two angles is 90° they are known as complementary angles.
Let the value of unknown angle be x.According to the question
⇨x + 40° = 90°
⇨x = 90° - 40° [Subtract]
⇨x = 50°
Complement angle is 50°
____________________(b)If the sum of the measures of two angles is 180° they are known as supplementary angles.
Let the value of unknown angle be x.According to the question
⇛x + 63° = 180°
⇛x = 180° - 63° [Subtract]
⇛x = 117°
Supplement angle is 117°
If the sum of the measures of two angles is 90° they are known as complementary angles.
Let the value of unknown angle be x.According to the question
⇛x + 40° = 90°
⇛x = 90° - 40° [Subtract]
⇛x = 50°
Complement angle is 50°
____________________(b)If the sum of the measures of two angles is 180° they are known as supplementary angles.
Let the value of unknown angle be x.According to the question
⇨x + 63° = 180°
⇨x = 180° - 63° [Subtract]
⇨x = 117°
Supplement angle is 117°
Can someone help me please
Answer:
=2⁵it's option B 2⁵(B) 2⁵ is the right optionIf m = 8 and n = 5, then man + 3) – n+1-
Answer:
P (−1)n(n+1)(n+2) (n+1)3 converges
Step-by-step explanation:
what are the coordinates of vertices of quadrilateral ABCD? use the coordinates to find the length of DA.
A(-5,-4)
B (1,4)
C(4,0)
D(1,-4)
Need help ASAP ???
We can conclude that the length of DA is 6.
For a quadrilateral defined as ABCD, the vertices of the quadrilateral are the points in the name, so the four vertices are the points A, B, C, and D.
These are given, so we know that the vertices are the points:
A(-5,-4)
B (1,4)
C(4,0)
D(1,-4)
Now we want to find the length of DA, this is the distance between points D and A.
Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Then for the case of the points:
A (-5, -4) and D (1, -4)
the distance is given by:
[tex]d = \sqrt{(1 - (-5))^2 + (-4 - (-4))^2} = \sqrt{(1 + 5)^2} = 6[/tex]
Then we can conclude that the length of DA is 6.
If you want to read more, you can see:
https://brainly.com/question/12040665
salini's mother's present age is 8 times salini's present age five years from now salini's age will be 1/4th of of his mother's present age what are their present ages
Answer:
salini -= 5 years
mother = 40years
Step-by-step explanation:
[tex]salini = x \\ mother =8x \\ x + 5 = 1 \: of \: 8x \\ x + 5 = 2x \\ 5 = x [/tex]
[tex]5 = x[/tex]
then you equate the values of x
Jenny puts 8 stickers on each page of her note book. She uses 72 stikers in all which equation can be use to find the number of in jennys note book
Answer:
72/8=9 im not sure which it is asking for
Step-by-step explanation:
we know that Jenny has 72 stickers with 8 stickers on each page. so therefore the the 72 stickers have been divided by 8 to fit onto 9 pages.
Answer:
9 pages of stickers
Step-by-step explanation:
72 / 8 = 9 pages of stickers
Givenl || m | n, find the value of x.
. m
44°
77
By
Answer: 0
Submit Answer
attempt 1 out of 2
Can someone pls help
Answer:
x = 136
Step-by-step explanation:
x and 44 are same- side interior angles and sum to 180° , that is
x + 44 = 180 ( subtract 44 from both sides )
x = 136
What is the x-intercept of the equation y = 2/3x + 12? Please explain each step for better understanding, thank you:)
Answer:
(-18, 0)
Step-by-step explanation:
The x intercept has a y value of 0. So, to find the x intercept, plug in 0 as y into the equation, and solve for x:
y = 2/3x + 12
0 = 2/3x + 12
-12 = 2/3x
-18 = x
So, the x intercept is (-18, 0)
This diagram shows lines PQ, RS, and TV. How
many angles appear to be obtuse? Name them.
Answer:
Obtuse angles measure between 90° and 180°.
In the diagram we have:
∠PMS, ∠RMN, ∠MNV, ∠TNQObtuse angles measure less than 180° but more than right angle
Here they are
<RMN<SMP<VNM<QNTMay somebody help do this please??
Answer:
a. 1 yard:3 feet
b. 3 feet:1 yard
c. Sean ran exactly a mile
Step-by-step explanation:
For a and b there are 3 feet in a yard
For c a mile is exactly 5280 feet
Answer:
A: 3 : 1
B: 1 : 3
C: less
Step-by-step explanation:
A: There are 3 feet in a yard, so feet: yard would be 3:1
For example, 21 feet equals 7 yards, 21:7 is equal to 3:1B: For every yard, there are 3 feet, so th ratio would be 1:3
For example, 4 yards equals 12 feet, 4:12 is equal to 1:3C: Sean ran 1,600 yards. To convert this into feet, multiply by 3. He ran 4,800 feet. Since 4,800 < 5,280, he ran less than a mile
X =
A)6 2/3
B)9
C)12
I think the answer would be (C) 12 because when you lay the line measuring 5 - 4 flat you can see that it is not covering line x completely. When 3 to the new line of 9 you can see that it fits. Hope this helps!
2p+8p>-20 help please ☺️
Answer:
p > -2
Step-by-step explanation:
2p + 8p > -20
10p > -20
10/10p > -20/10
p > -2
p is greater than -2
I need help solving these two questions
For question 4 it also isn't D
For question 7 it also isn't B
Answer: i could be A and the next one is c
Step-by-step explanation:
Answer:
First question 8
Second question 10
Step-by-step explanation:
First question
The general formula for both secants is the entire length * the external segment.
Using an example, it is 3*(13 + 3) = 3*16
The other secant will be 4*(x + 4)
These two are equal
4(x + 4) = 3 * 16
4(x + 4) = 48 Divide by 4
x + 4 = 12 Subtract 4 from both sides
x = 8
Second Question
8(x + 8) = 6(6 + 18)
8x + 64 = 6(24)
8x + 64 = 144 Subtract 64
8x = 80 Divide by 8
x = 80 /8
x = 10
A shopkepper marked the price of an articles a csrtain percent above the cost price and he allowed 16% discount to make 5% profit. If a customer paid Rs 9492 with 13% VAT to buy the article by what percent is the marked price above the cost price of the article?
- Hey Risap! :)
[tex] \large{ \tt{❁ \: ANSWER : \boxed{ \tt{25\%}}}}[/tex]
[tex] \large{ \tt{♕ \: REFER \: TO \: THE \: ATTACHMENT \: !!}}[/tex]
Hope this helps! Let me know if you have any questions regarding my answer and also notify me , if you need any other help! :)What is the value of x?
Answer:
is it 15.8
Step-by-step explanation:
Geometry, please answer question ASAP
Answer:
C
Step-by-step explanation:
Using the tangent ratio in the right triangle
tanC = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{c}{a}[/tex] , then
C = [tex]tan^{-1}[/tex] ([tex]\frac{c}{a}[/tex] )
If 6x^3 - (k+6)x^2 + 2kx - 25 is divided by 2x-5 remainder is o find the value of k.
Answer:
25
Step-by-step explanation:
6x³-(k+6)x²+2kx-25
2x-5=0
2x=5
x=5÷2=2.5
6(2.5³)-(k+6)(2.5²)+2(2.5)k -25=0
(6×15.625)-(6.25k+37.5)+(5k)-25=0
93.75-6.25k-37.5+5k-25=0
93.75-37.5-25=6.25k-5k
31.25=1.25k
k=25
Write the polynomial in standard form -7x+10x^3-7x^2-x^8+15
Answer:
-x^8+10x^3-7x^2+7x+15
Step-by-step explanation:
-7x+10x^3-7x^2-x^8+15
Standard form is from highest power to lowest power of x
-x^8+10x^3-7x^2+7x+15
2^2+ 3^2 - 4^2
Simplify using the order of operation
Answer:
[tex] {2}^{2} + {3}^{2} - {4}^{2} \\ 4 + 9 - 16 \\ 13 - 16 \\ - 3[/tex]
I hope it helped U
stay safe stay happy
Answer:
-3
Step-by-step explanation:
[tex] {2}^{2} + {3}^{2} - {4}^{2} [/tex]
[tex] = 4 + {3}^{2} - {4}^{2} [/tex]
[tex] = 4 + 9 - {4}^{2} [/tex]
[tex] = 4 + 9 - 16[/tex]
[tex] = - 3[/tex]