Answers
Answer:
1st answer: 61000+(X-1) x 700
2nd answer: 64500
Step-by-step explanation:
Since it says the population increases linearly, which means by the same amount, it is an arithmetic progression. So the formula to find a term in arithmetic progression is [tex]T_{n}[/tex]=a + ( n - 1 ) x d , where a is the first term, n is number of terms, and d is common difference. So now just put the values in the equation, where 61000 is a, x is n and d is 700. To find second answer put 6 in place of n as it says from 2003 to 2009 which is 6 years later.
Related Questions
What are the coordinates of the point on the directed line segment from (-1, -1) to
(5,-5) that partitions the segment into a ratio of 1 to 3?
Answers
The partitions involves dividing the line into subsegments
The coordinate of the point on the directed line segment is (0.5,-2)
How to partition the line?The given parameters are:-
line segment = (-1, -1) to (5,-5)
Segment ratio = 1 : 3
The coordinates of the partition is calculated as:
[tex](x,y) = (\frac{mx_2 + nx_1}{m+ n},\frac{my_2 + ny_1}{m+ n})[/tex]
Substitute known values
[tex](x,y) = (\frac{1 *5 + 3 * -1}{1+ 3},\frac{1 *-5 + 3 * -1}{1+ 3})[/tex]
Evaluate the products
[tex](x,y) = (\frac{2}{4},\frac{-8}{4})[/tex]
Evaluate the quotients
[tex](x,y) = (0.5,-2)[/tex]
Hence, the coordinate of the partition is (x,y) = (0.5,-2)
Read more about line partitions at:
https://brainly.com/question/12959377
what is the total mass of 4 bags of sugar each with a mass of 450g ,840g,336g and 1kg?
Answers
Answer:
total mass is equal to
450g+840g+366g+1kg
=1626g+1000g
=2626g
mass is in kg so it is 2.626kg
Your backyard is 60 feet long and 50 feet wide. You install a circular pool with a 10-foot radius. What is the area of the backyard, in square feet, that can be planted with grass? Round your answer to the nearest whole number (Area of a rectangle = base x height) (Area of a circle = 3.14 x (radius) ^2)
Answers
Answer:
2686
Step-by-step explanation:
First let's find the area of the garden.
[tex]60 \times 50 = 3000ft {}^{2} [/tex]
Now let's find the area of the pool.
[tex]3.14 \times 10 {}^{2} [/tex]
[tex]3.14 \times 100 = 314ft {}^{2} [/tex]
Lastly subtract both products.
[tex]3000 - 314 = 2686[/tex]
i need help on a math question thank u
Answers
Answer:
XZ is longer than XY
Step-by-step explanation:
First we can notice all of the answers consist of knowing the lengths, so we must now find the lengths for each segment. To do this, we must use the pythagorean theorem.
(1, -1) and (-5, -5)
-5- -1 = -4
-5-1 = -6
-4^2+-6^2 = c^2
16+36 = c^2
52 = c^2
7.21110255 = c
So, the length of XZ is 7.21110255 units long
(1, -1) and (8, -2)
8-1 = 7
-2--1 = -1
7^2+-1^2 = c^2
49+1 = c^2
50 = c^2
7.07106781 = c
So, the length of XY is 7.07106781 units long.
XZ is longer than XY
Find the distance between (4,-5) and (-3,-5).
Answers
Answer:
7 units
Step-by-step explanation:
Since the two points have the same y-coordinate of -5, the distance between them is due to the difference of their x-coordinates.
Distance
= 4-(-3)
= 4 +3
= 7 units
Note:
Should the two points have different x and y coordinates, you may use the distance formula below.
[tex]\boxed{\textcolor{steelblue}{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}[/tex]
where (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate
Each level of a smartphone app adds more gems for you to match. On
level one, there were 13 gems. On level twelve, there were 123 gems.
When you complete all twelve levels, how
many total gems will you have
matched? (2 points)
O 748
• 816
O 660
O 605
Answers
What is the outlier for the data set?
Heart Rate
5 0 7
6 3 5 6 8 8
7 0 2
8
9 0
5 0 = 50 beats per minute
40
50
68
90
Answers
Answer:
6 3 5 6 8 8
Step-by-step explanation:
farthest apart than any other number
Answer:
Your correct answer is 90 :)
Step-by-step explanation:
90 is the biggest number in the number set so therefore it is an outlier.
Have an amazing day!!
Please rate and mark brainliest!!
ANSWER FOR EXTRA POINTS ⭐️⭐️⭐️
Answers
the answer is b if i remeber
If George went camping 15 times, how could you figure out how many times Dave went camping?
Answers
Answer:
no you couldnt
Step-by-step explanation:
What is the slope-intercept form of 11x-13y=39?
Answers
Answer:
Step-by-step explanation:
y=11/13x−3
hope this helps and mark me brainliest as well please.
What is the equation of the parabola with focus (0, 1/2) and directrix y= -1/2
Answers
keeping in mind that the vertex is half-way between the focus point and the directrix, and since the focus point is above the directrix, meaning the parabola is a vertical parabola opening upwards, the parabola will more or less look like the one in the picture below, with a distance from the vertex of "p" being positive since it's opening upwards.
[tex]\textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\begin{cases} h=0\\ k=0\\ p=\frac{1}{2} \end{cases}\implies 4(\frac{1}{2})(y-0)~~ = ~~(x-0)^2\implies 2y=x^2\implies y=\cfrac{1}{2}x^2[/tex]
A city has a population of 380,000 people. Suppose that each year the population grows by 6.5%. What will the population be after 10 years?
Round your answer to the nearest whole number.
Answers
y = a•(1+x)^(t/p)
y is the end result
a is the initial amount
x is the percent growth as a decimal
t is the total amount of time
p is how often the growth occurred
Note that t and p both need to be the same units, whether that be seconds or days or months or years etc.
So,
y = 380000 • (1.065)^(10/1)
y = 380000 • 1.87713746527
y = 713312.236802
y = 713312
55 POINTS QUICK PLEASE!!!!!!!
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Bailey’s Cakes and Pastries baked a three-tiered cake for a wedding. The bottom tier is a rectangular prism that is 18 centimeters long, 12 centimeters wide, and 8 centimeters tall. The middle tier is a rectangular prism that is 12 centimeters long, 8 centimeters wide, and 6 centimeters tall. The top tier is a cube with edges of 4 centimeters each. What is the volume of each tier and of the entire cake?
Answers
Answer:
Formula
Volume of a rectangular prism = width × length × height
Bottom Tier
volume = 12 × 18 × 8
= 1,728 cm³
Middle Tier
volume = 8 × 12 × 6
= 576 cm³
Top Tier
volume = 4 × 4 × 4
= 64 cm³
Entire Cake
Volume = bottom tier + middle tier + top tier
= 1728 + 576 + 64
= 2,368 cm³
What is the value of x?
Enter your answer in the box.
Answers
Since it is an equilateral triangle, all the sides are equal
(To make things more simple, you can compare 2 sides out of 3 --> as in you can choose the 2 most simple ones to solve)
4x-10 = 3x+2 Simplify like terms
x = 12
If you want to prove, just plug 12 back into each side
Hope this helped :)
-2x > 12
A. X>-6
B.x>14
C. X<14
D. X<-6
Answers
Answer:
D. x< -6
Step-by-step explanation:
Divide both sides by −2. Since −2 is negative, the inequality direction is changed.
x < 12/-2
Divide 12 by −2 to get −6.
x < -6
If my dot plot is not skewed or symmetrical which measure of variability should I use? (15 data points) PLEASE HELP THE ASSIGNMENT IS DUE TONIGHT!
these are the data points: 5,6,7,7,7,8,8,9,9,9,9,9,10,10,11
I also need the best measure of center!
Answers
If the data is not skewed, then the mean is the best measure of center.
This then also includes the standard deviation because the standard deviation relies on the mean.
To get the mean, add up the data values:
5+6+7+7+7+8+8+9+9+9+9+9+10+10+11 = 124
Then divide by the sample size n = 15
124/n = 124/15 = 8.267 approximately
Once you determine the mean, you can then determine the standard deviation which involves a bit more complicated steps. The rough outline is:
Subtract each data value from the mean. So right off the bat, we can see how important the mean is when it comes to calculating the standard deviation.Square those differences from step one.Add up the squares to get the Sum of the Squared Errors (SSE)Divide the SSE by n-1 to get the sample variance, or divide by n to get the population variance. It will depend on context which version you go for.Apply the square root to the variance to get the standard deviation.Once again, step 1 shows how critical the mean is to finding the standard deviation. The standard deviation measures how far each value is from the mean on average. In other words, it's like a measure of the average distance from the mean.
Use of spreadsheet software is strongly recommended to keep track of everything. You can also use a standard calculator to compute the standard deviation. There are also tons of free online calculators that can help out with that as well.
-----------------------------------------------------------
If the data was skewed to one side, then the median is the better measure of center because it is not affected by outliers. The IQR (interquartile range) is used instead of the standard deviation for skewed distributions.
Please help with give brainliest
Answers
Answer:
9/20
Step-by-step explanation:
1/4=.25
1/5=.20
add .25 and .20 and you get .45
convert .45 into a fraction in which you can just use the fractions provided and all you got to do is match the decimal on a calculator
true or false? criminal cases cannot be brought before a jury trial
Answers
Answer:
Step-by-step explanation:
True
solve x/3+y/4=2
2x/3+3y/4=5
Answers
Step-by-step explanation:
please mark me as brainlest
Answer:
Step-by-step explanation:
[tex]\dfrac{x}{3}+\dfrac{y}{4}=2\\\\\\\text{Multiply the whole equation by the LCM of 4 , 12 which is 12}\\\\ 12*\dfrac{x}{3}+12*\dfrac{y}{4}=12*2\\\\\\4x + 3y=24 \ -------------------(i)[/tex]
[tex]\dfrac{2x}{3}+\dfrac{3y}{4}=5\\\\\\\text{Multiply the whole equation by 12}\\\\12*\dfrac{2x}{3}+12*\dfrac{3y}{4}=5*12\\\\\\[/tex]
8x + 9y = 60 -------------------------(ii)
Multiply equation (i) by (-2)
(i)*(-2) -8x -6y = -48
(ii) 8x +9y = 60 {Now add. x will be cancelled}
3y = 12 {Divide both sides by 3}
y = 12/3
y = 4
Substitute y = 4 in equation (i)
4x + 3*4 = 24
4x + 12 = 24
4x = 24 - 12
4x = 12
x = 12/4
x = 3
[tex]\boxed{x = 3 \ ; \ y = 4}[/tex]
A case of glue weighs 24 pounds. A pallet loader can lift 3 tons. How many cases can a pallet loader lift?
Answers
Answer:
250 cases
Step-by-step explanation:
3 tons is 6000 pounds
you divide 6000 by 24 and get 250
that is your answer
The picture shows a piece of transparent paper with a design drawn on it. The paper is then folded twice, as shown. What will be seen on the folded paper?
Answers
Answer:
Step-by-step explanation:
Give the center and radius of the circle described by the equation and graph the
equation. Use the graph to identify the domain and range.
(x+3)² + (x - 2)² = 9
Answers
Answer:
I don't know the exact answer but, I had a problem like this the other day. This is how to find it out. I am just in a rush so I have to go if not I would help you figure it out.
Step-by-step explanation:
Write the equation of each circle.
1. center at (9, 0), radius 5
SOLUTION:
ANSWER:
2. center at (3, 1), diameter 14
SOLUTION:
Since the radius is half the diameter, r = (14) or 7.
ANSWER:
3. center at origin, passes through (2,2)
Could someone help me with this
What is -x<-29?
Answers
Answer:
its positive 29 since you dividin a negative 1 and a negative divided by a negative is a positive
Step-by-step explanation:
Answer:
Assuming you're hoping to solve the inequality for x, x > 29
Step-by-step explanation:
When dividing both sides of an inequality by -1, the sign will be reversed. In this case, the sign will change from a less than to a greater than, meaning -x < -29 => x > 29.
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answers
BC = 11
hope it helps...!!!
Answer:
x = 11
BC = 48
Step-by-step explanation:
11 + 37 = 48 and 4(11) + 4 = 48 and since they are both being multiplied by 11 in place of the x, that makes it congruent. BC is 48 because 11 + 37 = 48. hope it makes sense
Which number is a multiple of 2?
A) 14
B) 21
C) 7
D) 19
Answers
Answer:
The answer is A
Step-by-step explanation:
Since the number that you are finding the multiple of is 2, it has to be an even number. Another way is if 2 by another whole number equals the answer choice then you got your answer.
please help I will mark BRAINLIEST
Answers
Answer:
Your answer is t>28
Have a nice day!
mark as brainliest
Answer:
T>28
Step-by-step explanation:
Answer my question #2
Answers
Answer:
Ans is mean .because mean means average.
As Juan continued his hitting practice showing off his abilities, one of the balls flew over the center field stands and into the parking lot. “Did you see that shot”, he yelled at the girls. “The ball hung in the air for at least 10 seconds”, he exclaimed.
The formula for this hit is:
h(x−) = 16+x2 8+3x 4 where h is the height of the ball and x is the number of seconds the ball is in the air.
I need help with part B
Answers
Answer:
A. Find h(10) = 0 . . . (it is not)
B. h(5.235) = 0; hang time was about 5.235 seconds
Step-by-step explanation:
The hang time of the ball is the value of x in h(x) such that h(x) = 0.
__
A.Juan can show the hang time is 10 seconds by finding h(10) = 0. The value of h(10) is ...
h(10) = -16(10²) +83(10) +4 = -1600 +834 = -766 ≠ 0
Juan cannot prove the hang time was 10 seconds.
__
B.The hang time is the solution to ...
h(x) = 0
-16x² +83x +4 = 0 . . . . . use the given expression for h(x)
x² -5.1875x = 0.25 . . . . divide by -16
x² -5.1875x +6.7275390625 = 6.9775390625 . . . . add (5.1875/2)²
(x -2.59375)² = 6.9775390625 . . . . . . . . . . rewrite as a square
x = 2.59375 ±√6.9775390625 ≈ {-0.048, 5.235} . . . . square root, find x
The hang time of the ball was about 5.235 seconds.
__
We like a graphing calculator for finding a quick solution to questions like this.
Find the volume of the given prism.
Ans:60cm^3
Answers
Answer:
60 cm³
volume of triangular prism : area of base * Length
Given:
side of triangle : 4 cmside of triangle : 3 cmangle between 4 cm and 3 cm : 90°Length : 10 cmFind area of base:
[tex]\rightarrow \sf \dfrac{1}{2} * side \ 1 \ * side \ 2 \ * \ sin (\theta)[/tex]
[tex]\rightarrow \sf \dfrac{1}{2} *\ 4 \ * \ 3 \ * \ sin (90)[/tex]
[tex]\rightarrow \sf 6 \ cm^2[/tex]
Volume :
A * L6 * 1060 cm³Answer:
60 cm³
Step-by-step explanation:
To calculate the volume of the prism, we need to find the area of the triangle and multiply it by the height of the prism.
⇒ Volume of prism = Area of triangle × Height of prism
Find the area of the triangle
⇒ Volume of prism = (Area of triangle) × Height
⇒ Volume of prism = (1/2 × Base × Altitude) × Height of prism
⇒ Volume of prism = (1/2 × 3 × 4) × Height of prism
⇒ Volume of prism = (3 × 2) × Height of prism
⇒ Volume of prism = 6 × Height of prism
Substitute the height in the volume
⇒ Volume of prism = 6 × Height of prism
⇒ Volume of prism = 6 × 10
Solve for the volume.
⇒ Volume of prism = 6 × 10
⇒ Volume of prism = 60 cm³
Nine times the sum of a number and 2 is equal to 4.
Answers
Answer:
9(n+2) = 4
Step-by-step explanation:
9(n+2) = 4
to solve for 'n' first distribute the 9 to get:
9n + 18 = 4
subtract 18 from each side to get:
9n = -14
n = -14/9