13) If the area of your simming poolis 25
times larger than your neighbors, how
many times larger is your pool compared to
theirs? What is the sale factor?)
Answer:
1. 25 times larger
2. The scale factor is 25:1
Step-by-step explanation:
Given
Let A represent the area of your swimming pool
Let a represents the area of your neighbour's swimming pool.
From the question, we understand that the area of your swimming pool is 25 times larger than the area of you neighbour's. This can be represented as follows;
A = 25 * a. --- divide through by a
A/a = 25 * a/a
A/a = 25
This means that your pool is 25 times larger than your neighbour's.
To get the scale factor, we have to convert the expression above to ratio
A/a = 25
This can be rewritten as
A/a = 25/1
By comparison the position of constraints at the left hand side to those at the right hand side of the equation
A = 25
a = 1
So,
A : a = 25 : 1
Hence, the scale factor is 25 : 1
A car travels 200 miles in 4 hours at a constant speed. What is the speed of the car in mikes per hour? Shhow ur work
Answer:
50 mph
Step-by-step explanation:
Speed = distance / time
speed = 200/4
speed = 50 miles per hour
If the zeros are 8 and 1/2, what are the factors?
Answer:
Step-by-step explanation:
Factors : (x - 8) (x- 1/2) or
(x - 8 ) (2x - 1)
Equation: (x - 8)(2x - 1) = x*2x + x*(-1) -8*2x -8*(-1)
= 2x² -x -16x + 8
=2x² -17x + 8
Free cookies if you answer with work. And you get brainliest
Answer: The square shield would equal to 18.0625 because base x height and the base and height is both 4.25 so times that by 4.25 and you get 18.0625 ft and the rectangular shield would equal 27 ft because base: 6.75 and height: 4 You will times those and get 27 ft and the circular shield is and the circular one is 28.26 ft you use pie 3.14 times it by 3 squared well first you square 3 which gives you 9 = 3x3=9. So then its left to 3.14x9 and that gives you 28.26 so the best shield is the circlular shield
Step-by-step explanation:
I explaned on top
Answer:
sdfghjkl
Step-by-step explanation:
About what percent of the village women
took between 48 and 56 minutes to collect
one container of water?
0%
25%
100%
50%
Water Collection Times in Minutes
HHHHHHH++++++++++++++++++++
40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65
Answer:
Exact percentage = 87.5%
Explanation:
We need to find out the percent of the women in the village.
So the percent of one unit is represented by 56/64.
we want 56 out of 64 as a percentage
we multiply by the 100 .
=0.875*100
=87.5 %
So, final answer is 87.5%
Please Help ME!!!
Describe the sorting rule for the numbers in these two groups
Group A;0,1,4,5,8
Group B. 10,32,35,57,79
Answer:
Hence Group A compose of the alternate Addition of "ONE" and "THREE" units
Hence Group B Composes of alternate 22 units addition and 3 units addition.
Step-by-step explanation:
Given:
Two groups as A and B with number in certain patterns as
To Find:
What is that certain pattern in numbers?
Solution:
Group A includes the following numbers as ,
0,1,4,5,8
Here 1st number=0 then 2nd number =1
So in between this addition is 1 is present
And then 3rd number =4 and 4th number=5
so there alternate addition of "one"(1) present
Now in 3rd and 2nd number there is addition of 3 units
And in 5th and 4 number there is addition of 3 units .
Hence this group compose of the alternate Addition of "ONE" and "THREE" units.
Group B includes the following number as ,
10,32,35,57,79
So here 1st number is 10 and 2nd number is 32 (Addition of 22 units).
Further alternate 4th 57 and 3rd number is 35 (addition of 22 units).
For 3rd number is 35 and 2nd number is 32 (addition of 3 units)
For 6th number will be is 82 and 5th number is 79 (addition of 3 units).
Hence this group Composes of alternate 22 units addition and 3 units addition.
inal answer:
The sorting rule for the numbers in Group A and Group B is based on their units digit, where numbers that end in 0 or 5 are placed in Group B, and other numbers are in Group A.
Explanation:
The student has asked to describe the sorting rule for the numbers in two groups, Group A and Group B. Looking at Group A (0, 1, 4, 5, 8) and Group B (10, 32, 35, 57, 79), the sorting rule appears to be that numbers ending in either 0 or 5 are placed in Group B, while the others are placed in Group A.
To elaborate, we can see that:
Numbers in Group A do not end with either 0 or 5.
Numbers in Group B all end with a 0 or a 5.
This pattern suggests that the sorting rule is based on the units digit of each number.
Through which points should a line of rotation be
placed to create a cylinder with a radius of 3 units?
E and J
OF and 1
o J and G
OG and E
Answer:
F and I
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.
Through which points should a line of rotation be placed to create a cylinder with a radius of 3 units?
E and J
F and I
J and G
G and E
My answer:
From the photo, we can see that:
the point F is in the middle of the length EG => EF = FG = 3 units
the point I is in the middle of the length JH and because this is a rectangle so EG = JH
=> JI = JH = 3 units
So the points should a line of rotation be placed to create a cylinder with a radius of 3 units is: F and I where F and I are the center points of the two bases in the cylinder
The area of a square is 9 sq. cm. One side length is 3 cm. What is the other side length?
Answer: 3
Step-by-step explanation: 3x3 is 9, and one side is 3 and we have square centimeters so 3 squared or 3x3 is 9 which makes my answer correct, sorry if it was bad explanation this was the easiest question ive answered, plz follow me at twitch, at InfernoEliteGamingYT21
Identify whether each value of x is a discontinuity of the function by typing asymptote, hole, or neither.
5x
x3 + 5x2 + 6x
x= -3
x = -2
x=0
x = 2
x= 3
x=5
DONE
Answer:
nobody gave the right answers but here it is :
Step-by-step explanation:
x = −3
⇒ asymptote
x = −2
⇒ asymptote
x = 0
⇒ hole
x = 2
⇒ neither
x = 3
⇒ neither
x = 5
⇒ neither
To determine whether each value of x is a discontinuity of the function, we analyze the function to find asymptotes or holes. For the given function, x = -2 and x = -3 are asymptotes, x = 0 is a hole, and the remaining values of x do not create any discontinuities.
Explanation:To determine whether each value of x is a discontinuity of the function, we need to analyze the function and look for asymptotes or holes. Let's consider the function f(x) = (5x) / (x^3 + 5x^2 + 6x).
To identify asymptotes, we need to find the values of x where the denominator of the function is equal to zero. For x = -2 and x = -3, the denominator becomes zero, which indicates that there are vertical asymptotes at x = -2 and x = -3. These values are neither holes nor asymptotes.
For x = 0, the denominator also becomes zero, but the numerator is not zero. This indicates that there is a hole at x = 0.
For the remaining values of x (2, 3, and 5), neither the numerator nor the denominator becomes zero. Therefore, these values do not create either holes or asymptotes. So the answer is:
x = -3: asymptotex = -2: asymptotex = 0: holex = 2: neitherx = 3: neitherx = 5: neitherThe construction company you work for purchases supplies for a large project at a cost of $1,495, $3,495, and $5,995.
What is the total amount of money spent on these supplies?
$4,990
$7,490
$7,995
$9,490
$10,985
Answer:
10,985
Step-by-step explanation: just add it up
for t = 2, 13t - 2t is equal to
Answer:
t=22
Step-by-step explanation:
13x2-2x2
26-4
22
Kevin threw a ball straight up with an initial speed of 20 meters per second.
The function h(t) = –5(x — 2)2 + 20 describes the ball’s height, in meters, t seconds after Kevin threw it. What is the maximum height of the ball?
cross out
A)
2 meters
cross out
B)
5 meters
cross out
C)
10 meters
cross out
D)
20 meters
Answer:
it should be D) 20 meters, not 100% sure tho
From the vertex of the quadratic equation, it is found that the maximum height of the ball is of 20 meters, given by option D.
The height of the ball, after t seconds, is given by:
[tex]h(t) = -5(x^2 - 4x + 4) + 20[/tex]
[tex]h(t) = -5x^2 + 20x - 20 + 20[/tex]
[tex]h(t) = -5^x^2 + 20x[/tex]
Which is a quadratic equation with coefficients [tex]a = -5, b = 20, c = 0[/tex].
It is a concave down parabola, thus, it's maximum value is the h-coordinate of the vertex, which is:
[tex]h_V = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]
Then, inserting the values:
[tex]h_V = -\frac{20^2 - 4(-5)(0)}{4(-5)} = 20[/tex]
The maximum height of the ball is of 20 meters, given by option D.
A similar problem is given at https://brainly.com/question/24626341
I own a large truck, and my neighbor owns four small trucks that are all identical. My truck can carry a load of at least $600$ pounds more than each of her trucks, but no more than $\frac{1}{3}$ of the total load her four trucks combined can carry. Based on these facts, what is the greatest load I can be sure that my large truck can carry, in pounds?
Answer:
there is no greatest load
Step-by-step explanation:
Let x and y represent the load capacities of my truck and my neighbor's truck, respectively. We are given two relations:
x ≥ y +600 . . . . . my truck can carry at least 600 pounds more
x ≤ (1/3)(4y) . . . . . my truck carries no more than all 4 of hers
Combining these two inequalities, we have ...
4/3y ≥ x ≥ y +600
1/3y ≥ 600 . . . . . . . subtract y
y ≥ 1800 . . . . . . . . multiply by 3
My truck's capacity is greater than 1800 +600 = 2400 pounds. This is a lower limit. The question asks for an upper limit. The given conditions do not place any upper limit on truck capacity.
Answer:
[tex]\large \boxed{\text{2400 lb}}[/tex]
Step-by-step explanation:
We have two condition:
Let x = the load of your truck
and y = load of their trucks Then
(1) x ≥ y + 600
4y = the total load of their four trucks
⅓ × 4y = the load of load of your truck
(2) ⁴/₃x ≤ y
Calculations:
[tex]\begin{array}{lrcll}(1) & x & = & y+ 600\\(2)& x & =&\dfrac{4}{3}y\\\\(3)& x - 600 & =&y&\text{Subtracted 600 from each side of (1)}\\& x & = & \dfrac{4}{3}(x - 600)&\text{Substituted (3) into (2)}\\\\&3x & = & 4(x - 600)&\text{Multiplied each side by 3}\\\end{array}[/tex]
[tex]\begin{array}{lrcll}&3x & = & 4x - 2400&\text{Distributed the 4}\\&3x + 2400 & = & 4x&\text{Added 2400 to each side}\\ & x & = & \mathbf{2400}&\text{Subtracted 3x from each side}\\\end{array}\\\text{The greatest load my truck can carry is $\large \boxed{\textbf{2400 lb}}$}}[/tex]
The letters that form the word MATHEMATICS are placed in a bowl. Are the odds favorable or unfavorable that he will choose a letter that is a vowel followed by a "T"?
Answer:
4/11 and 2/11
Step-by-step explanation:
The total number of letters in the word mathematics is 11, making the denominator 11. There are 4 vowels and 2 Ts. That is the number of possibilities for each one.
The odds of choosing a vowel followed by a 'T' from the word 'MATHEMATICS' are unfavorable, approximately 5.45%. This is calculated based on the individual probabilities of first drawing a vowel, then drawing a 'T'.
Explanation:The word 'MATHEMATICS' contains 11 letters, which includes 3 vowels (A, A, and E) and 2 'T's. The scenario of drawing a vowel followed by a 'T' implies a two-step process: first drawing a vowel, then drawing a 'T'. We must consider these as two separate events.
For the first draw, the chance of drawing a vowel is 3 out of 11. If successful, then the word left is 'MTHMATICS', a total of 10 letters, 2 of which are 'T's. So the chance of drawing a 'T' on the second draw is 2 out of 10.
The total probability of both events occurring is the product of their individual probabilities. So (3/11) * (2/10) = 6/110 = 0.0545, or approx. 5.45%. This can be categorized as unfavorable odds because the percentage is quite low.
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What is the slope of (2,6) (-3,-7)
Answer:
[tex]\frac{13}{5}[/tex]
Step-by-step explanation:
Remember this??- [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
Now substitue the points on that! It should look like this!- [tex]\frac{6-(-7)}{2-(-3)}[/tex]
Now SOLVE!! You should get- [tex]\frac{13}{5}[/tex]
There ya go!! Stay Safe, Stay at Home!! =)
The table shows a linear function, what do you equation represents the function?
F(x)=-5/3x+9
F(x)=-5/3-9
F(x)=5/3x+9
F(x)=9x+5/3
Answer:
B) f(x) = -3/5x +5
Step-by-step explanation:
There are several ways you can write the equation of a line from a list of points. When you look through the list and see that one of them is the y-intercept, then the problem can be easier. When you look through the list of answers and see that the required answer is in slope-intercept form, then you know all you need to do is find the slope to go with the intercept you've located. The point (x, f(x)) = (0, 5) tells you the y-intercept is 5.The slope, the change in y divided by the change in x for two points, is ...... (-1 -2)/(10 -5) = -3/5This is the slope and the coefficient of x in the linear equation.Now, we know the y-intercept (b=5) and the slope (m=-3/5), so we can fill in the slope-intercept form of the equation of a line:... y = mx + b... y = (-3/5)x + 5
If h = 18 units and r = 8 units, then what is the volume of the cone shown above? A. B. C. D.
1,205.76 units^3 or 384 π
Here is why:
The formula for the volume of a cone is:
[tex]V=\frac{1}{3}\pi r^2 h[/tex]
We can plug in.
[tex]V=\frac{1}{3}*3.14*8*8*18[/tex]
= 1,205.76 units^3
~
If you are looking for the exact answer, we will leave π.
[tex]V=\frac{1}{3}*\pi*8*8*18[/tex]
= 384 π
Which parent function is represented by the graph?
A. Quadratic parent function
B. Reciprocal parent function
C. Absolute value parent function
D. Linear parent function
Answer:
B. Absolute Value Parent Function
Step-by-step explanation:
Find the quotient using long division.
12a^3-3a^2- 5a + 16/
4a +3
Answer:
Step-by-step explanation:
hello : look this solution
simplify the square root 84/169
Answer:
2 times the square root of 21 all over 13
Step-by-step explanation:
T-shirts at Perfect Tee cost either $9 or
$10 depending on the style. Bella bought
13 t-shirts for a total of $124. How many
t-shirts of each price did she buy?
Answer:
Bella bought the t-shirt at $9.54 each.
Step-by-step explanation:
We are given the following in the question:
"T-shirts at Perfect Tee cost either $9 or $10 depending on the style."
Cost of 13 t-shirts = $124
We have to find the cost of each t-shirt.
Cost of 1 t-shirt =
[tex]=\dfrac{\text{Total cost of t-shirts}}{\text{Number of t-shirts}}\\\\=\dfrac{\$124}{13}\\\\=\$9.5384\approx \$9.54[/tex]
Thus, Bella bought the t-shirt at $9.54 each.
solve using comparison method.
a. 2x + 3y = 17 and 3y = 15 - x
Answer:
(2, [tex]\frac{13}{3}[/tex] )
Step-by-step explanation:
Given the 2 equations
2x + 3y = 17 → (1)
3y = 15 - x → (2)
Substitute 3y = 15 - x into (1)
2x + 15 - x = 17, that is
x + 15 = 17 ( subtract 15 from both sides )
x = 2
Substitute x = 2 into either of the 2 equations for corresponding value of y
Substituting in (1)
2(2) + 3y = 17
4 + 3y = 17 ( subtract 4 from both sides )
3y = 13 ( divide both sides by 3 )
y = [tex]\frac{13}{3}[/tex]
Solution is (2, [tex]\frac{13}{3}[/tex] )
Rearranging...
3y + x = 15
3y + 2x = 17
Using elimination method
2x - x = -15 + 17
X = 2
From equation.... 2
3y + 2 = 15
3y = 15 - 2
3y = 13
Y = 13/3
::x = 2 while y = 13/3
a cylindrical bucket has a radius of 6 inches and a height of 18 inches. What is the minimum number of buckets of water needed to completely fill a spherical storage tank that has a radius of 15 inches?
Answer:
Minimum 7 buckets of water is needed to completely fill spherical storage tank.
Step-by-step explanation:
We are given the following in the question:
Cylindrical bucket:
Radius, r = 6 inches
Height = 18 inches
Volume of bucket = Volume of cylinder
[tex]V = \pir^2 h \\V = 3.14\times (6)^2\times 18\\V =2034.72\text{ cubic inches}[/tex]
Spherical storage tank:
Radius, r = 15 inches
Volume of tank = Volume of sphere =
[tex]V =\dfrac{4}{3}\pi r^3\\\\\V = \dfrac{4}{3}\times 3.14\times (15)^3\\\\V = 14130\text{ cubic inches}[/tex]
Number of baskets required =
[tex]n = \dfrac{\text{Volume of tank}}{\text{Volume of bucket}}\\\\n =\dfrac{14130}{2034.72} = 6.94 \approx 7[/tex]
Thus, minimum 7 buckets of water is needed to completely fill spherical storage tank.
Plz help I’m a loser at math
Answer:
7
Step-by-step explanation:
Take the new height and divide by the original height to determine the scale factor
56/8 = 7
We can check this by using the length
35/5 =7
The scale factor is 7
How many square inches greater is the area of a 30-inch circular mirror than an 18-inch circular mirror?
Answer:
Area of a 30-inch circular mirror is greater than area of a 18-inch circular mirror by 452.16 square inches.
Step-by-step explanation:
We are given the following in the question:
Mirror 1:
[tex]d_1 = 30\text{ inches}\\\\\Rightaroow r_1 = \dfrac{30}{2}=15\text{ inches}[/tex]
Area of mirror 1 = Area of circle
[tex]A_1 = \pi r_1^2[/tex]
Putting values, we get,
[tex]A_1 = 3.14\times (15)^2=706.5\text{ square inches}[/tex]
Mirror 2:
[tex]d_1 = 18\text{ inches}\\\\\Rightaroow r = \dfrac{18}{2}=9\text{ inches}[/tex]
Area of mirror 1 = Area of circle
[tex]A_2 = \pi r_2^2[/tex]
Putting values, we get,
[tex]A_2 = 3.14\times (9)^2=254.34\text{ square inches}[/tex]
Difference between area =
[tex]=A_1-A_2\\=706.5-254.34\\=452.16\text{ square inches}[/tex]
Thus, area of a 30-inch circular mirror is greater than area of a 18-inch circular mirror by 452.16 square inches.
use the double intercept approach to find the graph of -1 = -y + x
True or False: All probabilities should always be between -1 and 1 for any trial.
Pls help me
Answer:
true
Step-by-step explanation:
i would say this because a probability isn't meant to he exact and is ok to be around the answer
Answer:
False
Step-by-step explanation:
All probabilities have to be a positive number.
Find the 71st term of the following arithmetic sequence.
5, 13, 21, 29, ...
Answer:
7,120
Step-by-step explanation:
Answer:
565
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 5 and d = 13 - 5 = 8, thus
[tex]a_{71}[/tex] = 5 + (70 × 8) = 5 + 560 = 565
Todd has 35 pieces of candy. He decides to give 5 pieces of candy to each of his friends. How many friends will he be able to give candy to?
Answer:
6 or 7
Step-by-step explanation:
if he does not take any himself, the answer is 7 as
35/5=7
if he takes 5 himself, the answer is 6 because
35-5=30
30/5=6
Todd will be able to give candy to 7 friends.
Explanation:To find out how many friends Todd will be able to give candy to, we need to divide the total number of candy pieces he has (35) by the number of candy pieces he wants to give to each friend (5).
35 ÷ 5 = 7
Todd will be able to give candy to 7 friends.
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What is the area of this parallelogram?
Parallelogram
Question 2 options:
14 square units
12 square units
15 square units
20 square units
Answer:
To correctly answer this question, You need to know the dimensions for the parallelogram.
Step-by-step explanation:
Have a great day!
Final answer:
The area of the larger square is four times the area of the smaller square, as the side lengths are doubled, resulting in the area increasing by the square of the factor of increase (2^2 = 4).
Explanation:
When Marta has a square with a side length of 4 inches, and she has a second square with dimensions that are twice as large, the area of the larger square can be found by squaring the ratio of the side lengths. In this case, the larger square will have side lengths of 8 inches because they are twice as long. To determine how the area of the larger square compares to the area of the smaller square, we can use the formula for the area of a square, which is side length squared (s^2).
The area of the smaller square is 4 inches * 4 inches = 16 square inches. If we double the side length to get the larger square, its sides will be 8 inches, so its area will be 8 inches * 8 inches = 64 square inches. Therefore, the area of the larger square will be four times the area of the smaller square because 64 square inches is four times 16 square inches (4^2 = 16, which means four times more area).