Answer:
we predict 2,587 persons will adopt dogs
Step-by-step explanation:
out of 40 persons 23 adopt dogs
Then
out of 40×25 persons 23×25 adopt dogs
Then
out of 1000 persons 575 adopt dogs
Then
out of 1000×4.5persons 575×4.5 adopt dogs
Then
out of 4,500 persons 2,587.5 adopt dogs
Method 2 :
Let x Ben the number of persons we predict they will adopt dogs:
Here we have a proportional relationship:
Then
[tex]\frac{4500}{40} =\frac{x}{23}[/tex]
[tex]\Longleftrightarrow x = \frac{4500\times 23}{40} =2587.5[/tex]
What are the values of a1 and r of the geometric series?
2 – 2 + 2 – 2 + 2
a1 = 2 and r = –2
a1 = –2 and r = 2
a1 = –1 and r = 2
a1 = 2 and r = –1
Answer:
a1=2 and r=-1
Step-by-step explanation:
"A geometric series is a series with a constant ratio between successive terms".
Here, we can observe that the first term 'a' is '2'.
And the common ratio 'r' =
Therefore, the first term 'a' is 2 and common ratio 'r' is '-1'.
First term, a, is 2. Next term, -2, is the product of 2 and -1 and is -2. Next term, 2, is the product of -2 and -1. Thus, the first term, a, is 2 and the common ratio, r, is -1
Answer:
a1 = 2 and r = –1
Step-by-step explanation:
The answer above is correct.
A trapezoidal sum is an underestimate when the function is.
Answer: Concave down
Explanation:
An example is shown below. We have the concave down parabola [tex]y = -x^2+7[/tex] marked in red. The trapezoidal sum is in blue. The three trapezoids combine to something just a bit smaller than the true area under the curve from x = -2 to x = 1. Therefore, this trapezoidal sum is an underestimate of the true area under the curve.
Every part of each trapezoid is completely below the red curve. In other words, no part of the blue pieces spill above the parabola.
A factory inspector found flaws in 4 out of 22 wooden boxes. Considering this data, how many flawed boxes would you expect the inspector to find in a batch of 44 boxes
Answer:
8
Step-by-step explanation:
We can form a simple ratio to solve this problem.
Flaws:Total Box
Plug in current values
4:22
44/22 = 2
Multiply the ratio by 2
8:44
8 boxes would be flawed.
Answer:
8
Step-by-step explanation:
There are 2 ways to do this I have seen.
1. 4/22 will get you .18, you can then multiply that by 44 and get 8
2. 22*2 is 44 so you can assume the number of flaws will also be the same amount multiplied (a multiple of 2) and you will get 8
What is the total number of unique triangles that can be formed with side lengths of 6.5 centimeters, 6 centimeters, and 2.5 centimeters?
Enter your answer in the answer box below.
Answer:
One
Step-by-step explanation:
For unique triangles with 3 sides, the sum of the two shorter sides must be greater than the third side.
Shorter sides: 6 cm and 2.5 cm
Longer side: 6.5 cm
6 + 2.5 = 8.5
As 8.5 > 6.5 this is a unique triangle
As the side lengths are fixed, only one unique triangle can be formed.
HELP PLEASE ASAP 30 POINTS
Write the equation of the graph.
ANSWERS;
A. y+3=-1/2(x-1)
B. y-3=-1/2(x+1)
C. y=1/2x+5
D. y-3=1/2(x+1)
What is the minimum number of triangles needed to construct a hexagon? a hexagon. 3 4 5 6
Answer:
6
Step-by-step explanation:
draw a model and fit in some traingles
Answer:
it’s B :)
Step-by-step explanation:
give a that is if u think my dog is cute
In rectangle EFGH, the length of EF is 12 units and the length of FG is 5 units. The rectangle is translated 6 units to the right and 4 units down to produce rectangle WXYZ. What is the length of YZ ?
Answer: 12
Step-by-step explanation:
Because a translation is a rigid motion, we know that YZ corresponds to GH (and they will have the same length).
Now, we can the fact that EFGH is a rectangle to obtain that EF=GH=12 (since opposite sides of a rectangle are congruent)
Hence, YZ=12.
Which is closest to the weight of 1 raisin box?
250 grams
84 grams
125 grams
42 grams
Step-by-step explanation:
answer 42 grams.
since total is 250 with 4 box combined. then , 250/4 = 42.25. which is approximately 42 grams
Hello I need Help with this question ASAP PLS.
Question: The cost of 6 Apples is $1.20. What is the cost of 4 apples? State units of your answer.
Pls Help me, I'm stuck :(
-- Biruh
Answer:
$0.80
Step-by-step explanation:
Find the unit rate
1 apple costs ?
1.20/6 = cost of 1 apple
1 apple = $0.20
4 apples = $0.20 * 4
4 apples = $0.80
Given:
Universal Set U = {3, 7, 8, 10, 11}
Subset B = {7}
What is B' ?
Answer:
B' = {3, 8, 10, 11}
Step-by-step explanation:
B' is the complement of B. It is a set that contains all elements of the universal set that are not elements of set B.
B' = {3, 8, 10, 11}
what number should be added to both sides in order to solve x^2 -8x=0
Answer:
16
Step-by-step explanation:
x^2 -8x=0
rewrite in this form and add 16 to both sides:
x² + 2(- 4)x + 16 = 0 + 16
(x - 4)² = 16 ( take square root of both sides )
x - 4 = ± 4
x = 4 ± 4
x=8 , x= 0
Please help
What is 94*106 as a difference of two squares
What is 94*106 as a product of a sum and a difference (factored form)
Answer:
Hi, I am going to help you! ➡ 94 * 106Formula: ( a+b) (a-b)
a=100
b=6
100+6=106
100+6=106100-6= 94
➡ 2. 100² - 6²
= (100 - 6) ( 100 + 6)
= 94 * 106
( THE BOLD IS THE FINAL ANSWER FOR BOTH QUESTIONS)
Identify the statement as true or false.
As the size of the random sample increases, the sample distribution more closely represents the population distribution.
Darnell collected data from two different sales teams in his department, each with four employees.
The results of the study, based on each worker's age and sales, are listed in the tables below.
Team 1
Team 2
Worker's Age
Sales
Worker's Age
Sales
25
30,000
29,000
27
32,000
35,500
28
35,000
37,000
33
38,000
65,000
Which of the following is a true statement?
225
28
29
31
Answer:
The answer is C The sales range for team 2 is greater than the sales range for team 1.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Donald writes 6 x 9 = 54. Explain two strategies you could use to check his work.
Find the volume of the sphere.
Either enter an exact answer in terms of pi or use 3.14 for pi and round your final answer to the nearest hundredth
radius=8
The volume of a sphere with radius 8 units is 2143.57 units³
What is a Sphere?
A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.
The Surface Area of a Sphere = 4πr²
The Volume of a Sphere = ( 4/3 ) πr³
where r is the radius of the sphere
Given data ,
Let the volume of the sphere be represented as A
Now , the value of A is
Let the radius of the sphere be r
The value of r = 8
Now , the formula to calculate the volume of the sphere is
Volume of a Sphere = ( 4/3 ) πr³
Substituting the values in the equation , we get
Volume of a Sphere = ( 4/3 ) x 3.14 x 8 x 8 x 8
Volume of a Sphere = ( 4/3 ) x 3.14 x 512
Volume of a Sphere = ( 4/3 ) x 1607.68
Volume of a Sphere = 2143.57 units³
Therefore , the value of A is 2143.57 units³
Hence , the volume of the sphere is 2143.57 units³
To learn more about sphere click :
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Choose the correct item from each drop-down menu to factor the trinomial 3x² + 13x – 10 by grouping.
3x2+ 13x - 10 = 3x2 -
Choose.
x +
Choose.
X-10
Choose.
V (3x-2) +
Choose.
(3x - 2)
=
Choose.
Choose.
D(x - 2)
The trinomial, 3x² + 13x – 10, when factored will give you: (3x + 10)(x - 1).
How to Factor a Trinomial?To factor a trinomial, we need to find two factors that would give us the exact trinomial when expanded.
Given, 3x² + 13x – 10:
3x² -3x + 10x - 10
(3x² - 3x) + (10x - 10 )
3x(x - 1) +10(x - 1)
(3x + 10)(x - 1)
Learn more about factoring trinomial on:
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What is the length of the missing leg? If necessary, round to the nearest tenth
Answer:
80m
Step-by-step explanation:
Pythageoreum Theorum since it is a right triangle.
a^2 + b^2 = c^2
60^2 + b^2 = 100^2
3600 + b^2 = 10,000
-3600 -3,600
b^2 = 6,400
Square root both sides of the equation
b = [tex]\sqrt{6400}[/tex]
[tex]\sqrt{6400}[/tex] = 80
The length of side a is 80 m
ANSWER THIS PLEASE !!!!!!
Answer:
C
Step-by-step explanation:
Becuase 68 is closer to c than b
Graph this parabola
Please show all steps thank you!!!
Vertex form of parabola
y=a(x-h)²+kFrom the equation given
Vertex=(h,k)=(3,4)a=-2As a is negative parabola facing downwards
Graph attached
Round 987 to 2 significant figure
987
to find:2 sf of 987
solution:( to find 2sf just round of if the previous digit is 5 or more)
2 sf= 990
Answer:
990
Step-by-step explanation:
10.6 m 9.1 m 6.8 m find volume
Answer:
218.36 m^3
Step-by-step explanation:
volume = 1/3 * base area * height
volume = 1/3 * (9.1*6.8) * 10.6
volume = 1/3 * (61.8) * 10.6
colume = 20.6 * 10.6
volume = 218.36
Answer:
109.3 m³
Step-by-step explanation:
Volume of a pyramid
1/3BhBase Area
1/2 x 9.1 x 6.83.4 x 9.130.94 m²Solving
V = 1/3 x 30.94 x 10.6V = 327.964/3V = 109.321333V = 109.3 m³ (approximately)What is mZLKB?
A
65°
K
#
#
B
L
Answer:
65
Step-by-step explanation:
I got it right on my test!
yolanda makes wooden boxes for a crafts fair. She makes 25 boxes like the one shown, and she wants to paint all the outside faces. What is the surface area of all 25 boxes?
1550 sq. in
hope it helps..!!!
Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.
y-2 =3(x+3)
х
y
1
4
2
16
3
64
4
256
5
1,024
The table above represents what type of function?
A. linear
B. linear and nonlinear
c. neither linear nor nonlinear
D. nonlinear
Reset
Submit
Answer:
B
Step-by-step explanation:
When the x goes up 1, the y multiplies by 4. This graph would be a curve.
Hope that helps
2x+20+3x-5=180 ??need answer
Answer:
33
Step-by-step explanation:
2x+3x+20-5=180
5x+15=180
5x=180-15
5x=165
165/5=33
Lily is going to invest $750 and leave it in an account for 18 years. Assuming the
interest is compounded daily, what interest rate, to the nearest tenth of a percent,
would be required in order for Lily to end up with $1,180?
Please help!! I need helppppp ASAP
Answer:
The interest rate would be 2.5%
If f(1) = 1 and f(n) = 2f(n − 1) then find the value of f(4).
Answer:
[tex]f(4)=8[/tex]
Step-by-step explanation:
Given:
[tex]f(1)=1[/tex][tex]f(n)=2f(n-1)[/tex][tex]\implies f(2)=2f(1)=2(1)=2[/tex]
[tex]\implies f(3)=2f(2)=2(2)=4[/tex]
[tex]\implies f(4)=2f(3)=2(4)=8[/tex]
The points (8, 0), (0, 9), (0, 0), and (6, 5) are the vertices of a feasible region for a linear programming problem. The objective function for the problem is C = 1.5x + 3.5y. Which point is the maximum value of C?
Answer:
the point 6,5 is the maximum Value of c out of the other points