The quantity of water the farming conglomerate would use 17 years from now is 65,708.11.
What is the amount of water that would be used 17 years from now?The formula for calculating the amount of water that would be needed 1 years from now:
FV = P (1 + r)^N
FV = Future value P = Present value R = interest rate N = number of years13000 x 1.1^17 = 65,708.11
To learn more about future value, please check: https://brainly.com/question/18760477
Find the area of a circle with a radius of 21 inches. Use 22/7
for pi.
Answer:
Area of circle=πr^2
Step-by-step explanation:
Area of circle=πr^2
=22/7*21^2
=22/7*441
=9702/7
=1386 sq.inch
The Hernandez family built a backyard patio .
Area = 150 square feet
What could be the dimensions of the
patio?
A 100 feet long by 50 feet wide
B
50 feet long by 25 feet wide
15 feet long by 10 feet wide
D
10 feet long by 5 feet wide
Find the value of x.*
20
48
36
60
Answer:
B. 48Step-by-step explanation:
Use the ratio of corresponding sides of similar triangles
x/64 = (100 - 64)/xx/64 = 36/xx² = 64*36x² = 8²*6²x = 8*6x = 48Correct choice is B
Rest Hypotenuse part of triangle=100-64=36
Now
x²=64(36)x²=8(8)(6)(6)x²=8²6²x=8(6)x=48
Three times a number increased by 9
is equal to twice the number decreased
by 4. Find the number
Let the number be "x"
According To Question[tex]3x + 9 = 2x - 4[/tex]
Solving It[tex]3x + 9= 2x - 4 \\ \\ \implies 3x - 2x = - 4 - 9 \\ \\ \implies x = - 13[/tex]
[tex] \therefore \text{the required number is = - 13}[/tex]
Hope this helpsAnswer:
- 35
Step-by-step explanation:
let the number be n then increased by 9 is n + 9 and decreased by 4 is n - 4 , so
3(n + 9) = 2(n - 4) ← distribute parenthesis on both sides
3n + 27 = 2n - 8 ( subtract 2n from both sides )
n + 27 = - 8 ( subtract 27 from both sides )
n = - 35
that is the number is - 35
Indicate, in standard form, the equation of the line passing through the given points.
E-2, 2), 25, 1)
Enter your answer in the blank equation box.
Answer:
x + 27y - 52 = 0.
Step-by-step explanation:
The slope of the line = (y2-y1)/(x2-x1)
= (1-2)/(25- (-2))
= -1/27
Using the point slope form of a straight line:
y - 2 = -1/27(x- (-2))
y - 2 = -1/27x - 2/27
y = -1/27x - 2/27 + 54/27
y = -1/27x + 52/27
Multiply through by 27:
27y = -x + 52
x + 27y - 52 = 0 <------- Standard form.
Can y’all help me with thjs
I'll write in the format (x;y) where x is the salad dressings amount, and y is the amount of servings.
We can see the line goes through the points (1;2) , (2;4) , (3;6) ...
So, the amount of servings are doubled the amount of salad dressings she need to use. (1 cup every 2 servings, 2 cups every 4 servings, etc.)
-> Leslle used half a cup of salad dressing for every serving of salad (B)
Answer:
B.
Step-by-step explanation:
Remember the first value is called the x-coordinate and the second value is the y-coordinate.
Find the first point the line crosses over.
So let's take the point (2,1).
As you can see that for every 2 servings Leslie uses 1 salad dressing cup,
2 to 1
Now look at the answers,
So you can are ready mark off A since it is not true,
You can mark off C since the line does not cross over points (1,4),
You can mark off D since the line does not cross over points (1,2),
That leaves you with B,
To check if it is true you need to find how much salad dressing cups are in one serving,
To do that you need to divide by 2 on both sides,
2÷2=1
1÷2=[tex]\frac{1}{2}[/tex]
your new rate is 1 to [tex]\frac{1}{2}[/tex]
So B is your answer.
You are shopping at a dvd store and have $49.50 to spend each dvd cost $4.25 estimate how many dvds you buy.
Answer:
You can get 11 dvds
Roxanne ran 10.73 miles on Monday and 3.01 miles on Tuesday. How many more miles did Roxanne run on Monday than Tuesday?
Answer:
7.72 miles
Step-by-step explanation:
Subtract 10.73 and 3.01 to find your answer
Answer:
Step-by-step explanation:
m
If u = ❬6, –9❭ and v = ❬–24, 36❭ with an angle θ between the vectors, are u and v parallel or orthogonal? Explain.
The vectors are parallel because cos θ = −1.
The vectors are parallel because u • v = 0.
The vectors are orthogonal because u • v = 0.
The vectors are orthogonal because cos θ = −1.
The vectors u = ❬6, –9❭ and v = ❬–24, 36❭ are parallel to each other because the cosine of the angle θ is equal to -1. (Right choice: A)
How to determine the relationship between two vectors
By linear algebra we can use the definition of dot product to determine the relationship between two vectors, whose cases are described below:
Two vectors are orthogonal if and only if cos θ = 0.Two vectors are parallel if and only if cos θ = 1 or cos θ = -1.And the expression for the cosine of the angle between the two vectors is:
[tex]\cos \theta = \frac{\vec u \,\bullet\,\vec v}{\|\vec u\|\cdot \|\vec v\|}[/tex] (1)
Where [tex]\|\vec u\|[/tex] and [tex]\|\vec v\|[/tex] are the norms of the two vectors, which are determined by Pythagorean theorem.
Now we proceed to calculate the angle between the two vectors:
[tex]\cos \theta = \frac{(6)\cdot (-24)+(-9)\cdot (36)}{(3\sqrt{13})\cdot (12\sqrt{13})}[/tex]
cos θ = -1
Thus, the vectors u = ❬6, –9❭ and v = ❬–24, 36❭ are parallel to each other because the cosine of the angle θ is equal to -1. (Right choice: A)
To learn more on vectors, we kindly invite to check this verified question: https://brainly.com/question/13322477
Solve for the missing angle labeled "?".
9) M
I
115°
S
U
P
47°
R
Q
A) 47°
B)65°
C) 68°
D)133°
Answer:
D) 133 degrees.
Step-by-step explanation:
attached as image.
The circumference of a circle is 94.2 kilometers. What is the circle's diameter?
Answer:
The diameter would be 29.98 kilometers.
Step-by-step explanation:
We know that our circumference is pi * diameter, so we just have to divide 94.2 by pi to solve.
Answer:
30 km
Step-by-step explanation:
We can use the below formula to find the diameter of a circle.
C = π × d
Here,
C ⇒ circumference ⇒ 94.2 km
d ⇒ diameter
To find the diameter make d as the subject in the above formula.
d = C / π
d = 94.2 / 3.14
d = 30 km
Wes wants to buy a new truck. There are 3 models to choose from, each has 4 choices of engine, 3 choices of transmission, 8 color choices, 3 interior color choices, and 5 different options packages to choose from. How many different trucks can be built with all of these choices? (Wes can only pick one option package.)
Answer:
1440 different trucks
Step-by-step explanation:
Multiply all of the choices for each part:
3 possible bodies * 4 possible engines * 3 possible transmission types * 8 possible colors * 5 possible options packages
And, you get:
3 * 4 * 3 * 8 * 5
= 1440 different trucks
Answer:
4320 trucks
Step-by-step explanation:
what is the approximate diameter of a sphere with a volume of 268cm^3
A. 12cm
B. 8cm
C. 16cm
D. 4cm
Answer:
B it is the right answer
Step-by-step explanation:
Do number 9 please.
Let's first understand the information the problem gives us
⇒ 6000 nails were done
⇒ 2% of the 6000 nails were faulty
⇒ 2% is equivalent to 2/100
⇒ therefore 2/100 of 6000 nails were faulty
⇒ 2 out of every 100 nails were faulty
⇒ written mathematically
[tex]Faulty-nails=\frac{2}{100}*6000 = 2 * 60 = 120[/tex]
Thus there were 120 faulty nails
Hope that helped!
A bag contains 5 red marbles, 3 blue marbles, 7 yellow marbles, and 2 green marbles. Which ratio can be used to compare the red marbles to the blue marbles?
A) 3/5
B) 3/8
C) 5/3
D) 5/8
Total red = 5
Total blue = 3
Ratio of red to blue = 5/3
answer: c. 5/3
Prove algebraically that the difference between the squares of any two consecutive
odd numbers is always a multiple of 8
Answer:
See below ↓
Step-by-step explanation:
Let the odd integers be :
2x + 12x + 3Solving
(2x + 3)² - (2x + 1)²4x² + 12x + 9 - 4x² - 4x - 18x + 8 = 8(x + 1)On substituting any value for 'x', the value will be a multiple of x.Examples
8(1) + 8 = 16 = 8 x 28(2) + 8 = 24 = 8 x 38(3) + 8 = 32 = 8 x 4Answer:
Let one odd number be (2n + 1)
Therefore, its consecutive odd number is (2n + 3)
Difference between the two squares of these numbers:
[tex]\begin{aligned}\sf (2n+3)^2-(2n+1)^2 & = \sf (4n^2+12n+9)-(4n^2+4n+1)\\ & = \sf4n^2+12n+9-4n^2-4n-1\\ & = \sf 8n+8\\ & = \sf8(n+1)\end{aligned}[/tex]
Thus proving that the difference between the squares of any two consecutive odd numbers is always a multiple of 8.
The height of the prism is ….
Answer:
[tex]\fbox{height \: of \: prism = 19 \: mm}[/tex]
Step-by-step explanation:
Given:
Shape of object is pentagonal prism
Side of pentagon= 12mm
Apothem of pentagon= 5 mm
Volume of pentagonal prism= 2,850 cubic mm.
To find:
Hieght of pentagon prism= ?
Solution:
To find height of prism it's necessary to calculate the surface area of base,
[tex]Area \: of \: regular\: pentagon = \frac{5}{2} \times side \: of \: pentagon \: \times apothem \\ Area \: of \: regular\: pentagon = \frac{5}{2} \times 12 \times 5 \\ Area \: of \: regular\: pentagon= \frac{5}{ \not2} \times \not12^{6} \times 5 \\ Area \: of \: regular\: pentagon= 5 \times 6 \times 5 \\ Area \: of \: regular\: pentagon= 150 \: {mm}^{2} [/tex]
[tex]Volume \: of \: prism = surface \: area \: of \: base \: \times height (h) \\ 2850 = 150 \times h \\ h = \frac{2850}{150} \cdot \frac{ {mm}^{3} }{ {mm}^{2} } \\ h = \frac{\not{ {2850}^{19} }} {\not150} \cdot \frac{ {mm}^{\not {3}^{1} } }{ {mm}^{\not2} } \\ \fbox{h = 19 \: mm}[/tex]
Thanks for joining brainly community!
The required height of the pentagonal prism is 19 cm
Given that,
A figure of a pentagon prism is shown with
The volume of the prism = 2850 cubic cm
Side of pentagon base = 12 mm.
And the perpendicular distance from the center to the side = 5 mm.
Volume is defined as the ratio of the mass of an object to its density.
Or in mathematics volume can be calculated as the area of the base multiplied by the height.
In order to get the height of the prism first, we have to calculate the area of the base and then divide the volume by its base area to get its height.
The base area = 5/2 * side * perpendicular height to side from center.
= 5 / 2 * 12 * 5
= 150
The volume of the prism = base area * height
2850 = 150 * height
height = 2850/15
= 19 cm
Thus, the required height of the pentagonal prism is 19 cm
Learn more about Volume here:
https://brainly.com/question/1578538
#SPJ5
If log, 2 = 0.69, then log, 32 =
Answer:
Step-by-step explanation:
log 2 = 0.69
Prime factorise 32.
32 = 2 * 2 * 2 * 2 *2 = 2⁵
[tex]\boxed{log \ a^{m}=m * log \ a}[/tex]
[tex]log \ 32 = log \ 2^{5}[/tex]
[tex]= 5*log \ 2\\\\= 5*0.69\\\\= 3.45[/tex]
The tree diagram represents an experiment consisting Of two trials. . 3,. 7,. 2,. 8 p(D)
Please help
Answer:
0.65
.6 x .5 + .7 x .5 = 0.65
Step-by-step explanation:
The ______________ probability of an outcome is obtained by dividing the frequency of occurrence of an event by the number of trials of the experiment
Answer:
Empirical probability
Step-by-step explanation:
Empirical probability is data collected from experiment and real-life situation.
The "empirical probability" of an outcome is obtained by dividing the frequency of occurrence of an event by the number of trails of the experiment.
[tex]\Longrightarrow: \sf{P(E)=\dfrac{\text{number of times event occured}}{\text{number of trails}}[/tex]
Therefore, the correct answer is empirical probability.I hope this helps you! Let me know if my answer is wrong or not.
Evaluate 49x - 2 when x = 1
Answer:
47
Step-by-step explanation:
49x - 2
==> plug in x = 1
49(1) - 2
==> multiply 49 and 1
49 - 2
==> subtract 2 from 49
= 47
Answer:
47
Step-by-step explanation:
49x means 49×x
So substituting 1 into the equation gives us :
(49×1)-2
49-2
47
Therefore our answer is 47.
Rewrite each expression as a difference. a+5 a+b
Answer:
a - 5 and a - b is the required experssion
Answer:
a-(-5);
a+5
a-(-b);
a+b
1/2 - 1/12 whats the answer
Answer:
To subtract or add fractions, we need to find a common denominator.
1/2 can turn into 6/12
so now we have
6/12 - 1/12 =
5/12
Since we cant simplify it, it stays as 5/12
Answer:
[tex]I~am~beinggreat78~and~i'll~help~you![/tex]
The answer is [tex]\frac{5}{12}[/tex], because of the math shown in this image.
In shortest words, the solution to this problem is [tex]\frac{5}{12}[/tex] because 1/2 - 1/12 is [tex]\frac{5}{12}[/tex], which is the simplified, yet unsimplified form. If the picture is blurry, please click the button in the center of the image to zoom in.
Ill give brainliest please help .
Answer:
443.14
Step-by-step explanation:
A=6ah+33a2
=6·4·15+3·3·42
≈443.13844
Answer:
I believe the answer is 88 if correct please consider brainliest
<3
Step-by-step explanation:
Y=x+8
find the slope and the y-intercept of the line.
Slope: 1
y-intercept: 8
Solution:The given equation is written in slope-intercept form, which looks like so:y=mx+bIn the above formula, m stands for the slope, and b stands for the y-intercept.Notice that the slope is the coefficient of x (the number next to x) and b is the y-intercept.Therefore, the slope is equivalent to 1, and the y-intercept is equivalent to 8.Hope it helps.
Do comment if you have any query.
What is the area of this figure?
22 mi
8 mi
10 mi
5 mi
9 mi
11 mi
4 mi
6 mi
Answer:
318 mi²
Explanation:
area of triangle = 1/2 * base * height = 1/2 * 22 * (10+6+3) = 209 mi²area of right bottom rectangle = Length * Width = 11 * 5 = 55 mi²bottom upright rectangle = Length * Width = 9 * 6 = 54 mi²total area = 209 mi² + 55 mi² + 54 mi² = 318 mi²Area of Vertical rectangle:-
9(6)54mi²Area of horizontal rectangle
11(5)55mi²Area of triangle
1/2(22)(10+6+3)11(19)209mi²Total:-
209+55+54318mi²The hours students reported practicing their instruments last grading quarter were 29, 20, 36, 44, 30, 32, and 40. The mean hours students reported practicing their instruments is . The mean absolute deviation for the data is .
Answer:
The hours students reported practicing their instruments last grading quarter were 29, 20, 36, 44, 30, 32, and 40.
The mean hours students reported practicing their instruments is
✔ 33
.
The mean absolute deviation for the data is
✔ 6
.
Step-by-step explanation: answers.
How many lines of symmetry does the letter J have image is the J I'm talking about
Answer:
0
Step-by-step explanation:
there are no lines os symmetry in this letter there are no straight lines that don't intersect
Answer:
0
Step-by-step explanation:
If you split it in half it is not a mirror image of itself..
What is 2/5÷2?
A.) 1/5
B.) 2/5
C.) 4/5
D.) 5
Answer:
A. 1/5
Step-by-step explanation:
[tex]\frac{2}{5}[/tex] ÷ [tex]\frac{2}{1}[/tex] = [tex]\frac{2}{5}[/tex] times [tex]\frac{1}{2}[/tex]
= [tex]\frac{2}{10}[/tex]
= [tex]\frac{1}{5}[/tex]
hope this helps!
Answer: A.) 1/5
Step-by-step explanation:
When dividing a fraction with a whole number we have to turn that whole number into a fraction as well
[tex]\frac{2}{5}[/tex] ÷ [tex]\frac{2}{1}[/tex]
So now we use the dividing fraction formula: [tex]\frac{a}{b}[/tex] ÷ [tex]\frac{c}{d}[/tex] = [tex]\frac{a*d}{b*c}[/tex]
So we put the numbers in their places: [tex]\frac{2}{5}[/tex] ÷ [tex]\frac{2}{1}[/tex] = [tex]\frac{2*1}{5*2}[/tex] = [tex]\frac{2}{10}[/tex]
However [tex]\frac{2}{10}[/tex] simplified is [tex]\frac{1}{5}[/tex]
alice has take a job with a starting teacher salary of $50,180 an annual raises of $1750 what will be her salary during her fifth year of the job
Answer:
$58,930
Step-by-step explanation:
y=mx+b
starting value (b) = $50,180
rate of increase (m) = 1750
number of years (x) = 5
y= (1750)(5) + 50180
y= 8750 + 50180
y= 58930