Answer:
C
Step-by-step explanation:
The scale is on 2 inches represents 30 feet that means for every 30 feet it's to inches on the scale and the stadium is 180 feet
180/30 to get 6 then times 6 by 2 to get 12. Because there 6 sets of 30 in 180. That's 12 on the scale because there 2 inches for every 30 feet that why you time the 6 by 2 to get 12 inches
I hope this helps you
The value of a stock increases at a rate of 1/2% per year. If the initial value of the stock $40 a share, when will the value of the stock be $50? Round your answer to the nearest tenth of a year
Answer:
After 50 years the stock value will be $50 per share.
Step-by-step explanation:
Simple Interest Equation (Principal + Interest)
A = P(1 + rt)
Where:
A = Future amont = $50
P = Principal Amount = $40
r = Rate of Interest per year in decimal; r = R/100 = 0.5/100 = 0.005
t = Time Period involved in months or years
Plug in the values
50 = 40(1 + 0.005t)
50 / 40 = (1 + 0.005t)
5/4 = 1 + 0.005t
5/4 - 1 = 0.005t
0.25 = 0.005t
t = 0.25 / 0.005
t = 50 years
Answer:
44. 7 yr
Step-by-step explanation:
The compound interest equation is
[tex]A = P(1+ \frac{r }{ n})^{nt}[/tex]
You don't give the frequency of compounding, so I will assume that it is once per year.
Data:
P = $40
r = 0.5 % = 0.005
n =1
Calculations:
(a) Calculate A
A = P + I = 40 + 10 = $50
(b) Calculate t
[tex]50 = 40(1+ \frac{0.005 }{ 1})^{1 \times t}\\50 = 40(1+ 0.005)^{t}[/tex]
Divide each side by 40
[tex]1.25 = 1.005^{t}[/tex]
Take the logarithm of each side
log1.25 = tlog1.005
0.09691 = 0.002 166t
Divide each side by 0.002 166
t = 44.7 yr
The value of the stock will be $50 in 44.7 yr.
given the arithmetic sequence an=-1+7(n-1), what is the domain for n?
Answer:
n E R
Step-by-step explanation:
Since 7n-8 is a linear equation with no restrictions, n's domain is real numbers.
Answer:
Step-by-step explanation:
with 1st term = -1. and common difference is 7
in this series we can say that 1st term is -1 , 2nd term is 6 , 3rd term is 13 , and so on
therefore in a series we cannot define a 0th term , so here n will be greater than or equal to 1.
find the values of a and b
Answer:
a = 115, b = 71
Step-by-step explanation:
The figure has one pair of parallel sides and is a trapezium.
Using a property of trapeziums
• each lower base angle is supplementary to the upper base angle on the same side.
a = 180 - 65 = 115
b = 180 - 109 = 71
f(x)=1/x-5, g(x)=5x-1/x A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions using interval notation.
Answer:
Not inverse of each other
Domain : [-∞,0) U (0,5) U (5,∞]
Step-by-step explanation:
Given in the question two functions
f(x)=1/x-5
g(x)=5x-1/x
To find that each of them are inverse of each other we will use composition
f(g(x))[tex]\frac{1}{\frac{5x-1}{x}-5 }[/tex]
take LCM
[tex]\frac{1}{\frac{5x-1-5x}{x}}[/tex]
5x will be cancel
[tex]\frac{1}{\frac{-1}{x}}[/tex]
1 ÷ (-1/x)
1 × (-x/1)
-x
Now,
g(f(x))[tex]\frac{5\frac{1}{x-5} -1}{\frac{1}{x-5}}[/tex]
[tex]\frac{5}{x-5} -1}[/tex] × [tex]5-x[/tex]
[tex]\frac{5-x+5}{x-5} * (x-5)[/tex]
10-x
As it ended up with different answers, so f(x) and g(x) are not inverse of each other
The domain are all the possible x-values of function except x ≠ 0 and x ≠ 5
We can conclude that the domain of the composition function is
Domain : [-∞,0) U (0,5) U (5,∞]
To prove whether or not the functions f(x) = 1/(x-5) and g(x) = (5x-1)/x are inverses of each other, we need to show that their compositions result in the identity function. We also need to find the domain of the compositions f(g(x)) and g(f(x)).
Explanation:To prove whether or not the functions f(x) = 1/(x-5) and g(x) = (5x-1)/x are inverses of each other, we need to show that their compositions result in the identity function. Let's start by finding the composition f(g(x)):
Plug in g(x) into f(x): f(g(x)) = f((5x-1)/x)Simplify f(g(x)) by substituting (5x-1)/x into the expression for f(x)Simplify further to obtain the composition f(g(x)) as a function of xNow, we need to find the composition g(f(x)): g(f(x)) = g(1/(x-5))
Follow the same steps as above to simplify g(f(x)) as a function of x. If the compositions f(g(x)) and g(f(x)) both result in the identity function, then the functions f(x) and g(x) are inverses of each other.
To express the domain of the compositions f(g(x)) and g(f(x)), we need to consider the restrictions on the domains of the individual functions. The domain of f(g(x)) will be the values of x for which (5x-1)/x is defined, and the domain of g(f(x)) will be the values of x for which 1/(x-5) is defined.
Learn more about Composition of Functions here:https://brainly.com/question/30143914
#SPJ3
Write an expression from the words.
1. K less than 45
2. The product of 6 and k
3. The quotient of s and 4
4. The sum of 49 and t
A supervisor set the following performance goal for new employees: re-stock an average of 42 products per day for the entire work week (Monday thru Friday). Today is Friday and Employee A has re-stocked 185 products so far this week. How many products will Employee A need to re-stock today to meet the goal?
Answer:
25 more items
Step-by-step explanation:
Employees need to stock at least 42 each day for a whole week or work. (5 days) so wee need to find how much they need to stock in a week.
42 x 5 = 210.
So They need to stock 210. Employee A has already stocked 185. so we need to take 185 from 210 to see how MORE he needs to stock.
210 - 185 = 25.
25.
Hope this helped! Please mark as brainliest! THanks!
In order to be able to make the goal that was set for the employee, the employee would have to re-stock 25 products.
The worker is supposed to stack an average of 42 products from Monday to Friday which is 5 days.
Technically speaking, in every one of those 5 days, 42 products should be stocked. The total for the week is therefore:
= 5 days x Number of products stocked per day
= 5 x 42
= 210 products
The worker has stocked 210 products already and so is left with:
= Number to be stocked - Number already stocked
= 210 - 185
= 25 products
In conclusion, the worker still has to re-stock 25 products.
Find out more at https://brainly.com/question/20668179.
A person has body fat percentage of 17.2% and weighs 171 pound how many pounds of her weight is made up of fat
Answer: 29.41 pounds
Step-by-step explanation:
You have the following information given in the problem:
- The fat percentage that the person has is 17.2%
- The person weighs 171 pounds.
Therefore, to calculate the amount of pounds of her weight is made up of fat (which you can call x), you must multiply the weight of the person by the fat percentage.
Therefore, you obtain the following result:
[tex]x=171lb*0.172\\x=29.41lb[/tex]
Which is the graph of the function f(x) = -√x?
Answer:
Step-by-step explanation:
The last (fourth) graph is that of the parent function y = √x. The negative sign in front of √x leads to reflection of this parent function graph in the x-axis. Thus, the correct graph of f(x) = -√x is the first one.
Solve the equation.
5x – 5 = 3x – 9
The answer is x = -2
Answer:
x=-2
Step-by-step explanation:
2x=-4
x=-2
Find an equation in standard form for the hyperbola with vertices at (0, ±10) and asymptotes at y = ±five divided by four times x..
Answer:
The equation of the hyperbola in standard form is
[tex]\frac{y^{2}}{100}-\frac{4x^{2}}{625}=1[/tex]
Step-by-step explanation:
* We will take about the standard form equation of the hyperbola
- If the given coordinates of the vertices (0 , a) and (0 , -a)
∴ The transverse axis is the y-axis. (because x = 0)
- If the given asymptotes at y = ± (b/a) x
∴ Use the standard form ⇒ y²/a² - x²/b² = 1
* Lets use this to solve our problem
∵ The vertices are (0 , 10) and (0 , -10)
∴ a = ±10
∴ a² = 100
∵ The asymptotes at y = ± 5/4 x
∴ ± 5/4 = ± b/a
∵ a = ± 10
∴ ± 5/4 = ± b/10 ⇒ using cross multiplication
∴± (4b) = ± (5 × 10) = ± 50 ⇒ divide both sides by 4
∴ b = ± 25/2
∴ b² = 625/4
* Now Lets write the equation
* y²/100 - x²/(625/4) = 1
∵ x² ÷ 625/4 = x² × 4/625 = (4x²/625)
∴ y²/100 - 4x²/625 = 1
* The equation of the hyperbola in standard form is
[tex]\frac{y^{2}}{100}-\frac{4x^{2}}{625}=1[/tex]
Students are using the graph to find the solution to the system y=3 and y=-2x+1. Anthony says the solution to the system is (3,-5). April says the solution to the system is (-1,3).
Answer: April is correct.
Step-by-step explanation: According to the methods used in systems of equations, if we are to solve this system by setting up the equations
(3 = -2x + 1), we see that the solution is x = -1. If you substitute this x-value back into the original equation, y = -2x + 1, we get the answer y = 3 and thus, receiving the solution to the system (-1,3). Anthony is wrong because the graph includes an extra line at x = 3, throwing off his answers.
Jessica loves to read. She reads at a speed of 3 pages per minute. How many pages can she read in 2 hours? (First concert 2 hours into minutes)
Jessica, who reads at a speed of 3 pages per minute, can read 360 pages in 2 hours.
Explanation:The subject of this question is mathematics, answered by a simple multiplication operation. Jessica loves to read and reads at a speed of 3 pages per minute. We know that there are 60 minutes in an hour, so in 2 hours, there are 2 * 60 = 120 minutes. Now, if Jessica reads 3 pages per minute, in 120 minutes, she would read 120 * 3 = 360 pages. Therefore, Jessica can read 360 pages in 2 hours at her reading speed.
Learn more about Multiplication Operation here:https://brainly.com/question/28335468
#SPJ3
Find the value of x°
25°
85°
75°
105°
Answer:
x = 75 degrees
Step-by-step explanation:
155 and the angle next to it makes 180 degrees
To find the missing angle take 180 and subtract 155
180 - 155 = 25
All the angles in the upper triangle are 25, 80 and x
To find x add 80 and 25
80 + 25 = 105
A triangle equals 180 degrees so subtract 105 from 180 to get x
180 - 105 = 75
Hope this helps.
Answer: The angle is 75°
Step-by-step explanation:
Please give the other person brainliest, they deserve it :3
Which ones are equivalent tell me all that apply:)
a) second and last one : 32x - 24 and 8*4x - 8*3
b) first and third one : 22y and 7y + 15y
pls mark brainliest!!
Answer:
a. b,d / b. a,c
Step-by-step explanation:
Write the equation of the circle with center (7, 3) and a radius of 2.
A)(x - 7)2 + (y - 3)2 = 4
B)(x + 7)2 + (y + 3)2 = 4
C)(x - 7)2 + (y - 3)2 = 2
D)(x + 7)2 + (y + 3)2 = 2
A) would be the correct answer
3km 9hm 9dam 19m +7km 7dam
10km+9hm+16adm+19m
I think your trying to question about combining the like terms?
The student is asked to add two sets of distances in various units. The sum of 3km 9hm 9dam 19m and 7km 7dam is converted to meters and added together, resulting in a total of 11 kilometers and 149 meters.
The question involves the addition of distances in different units, namely kilometers (km), hectometers (hm), decameters (dam), and meters (m). The student is asked to perform an addition of 3km 9hm 9dam 19m and 7km 7dam. To solve this, we must first convert all units to meters, add them up, and then convert back to the appropriate unit if necessary.
Step-by-step solution:
Convert each distance to meters:Add the distances in meters:If needed, convert back to mixed units:This results in a total distance of 11 kilometers and 149 meters.
A circle of yellow tulips is planted in Cedarburg's central park. Pam measured the circle and calculated that is has a circumference of 12.56 yards. What is the circle's diameter? Use 3.14 for .
Answer:
The circle's diameter is [tex]4\ yd[/tex]
Step-by-step explanation:
we know that
The circumference of a circle is equal to
[tex]C=\pi D[/tex]
where
D is the diameter of the circle
In this problem we have
[tex]C=12.56\ yd[/tex]
[tex]\pi=3.14[/tex]
substitute the values and solve for D
[tex]12.56=(3.14)D[/tex]
[tex]D=12.56/(3.14)=4\ yd[/tex]
what would the graph of 10x + 7y < 49 look ?
Answer: The graph is attached.
Step-by-step explanation:
1. Solve for y, as following:
[tex]10x+7y<49\\7y<-10x+49\\y<-\frac{10}{7}x+\frac{49}{7}\\\\y<-\frac{10}{7}x+7[/tex]
2. The equation of the line in slope intercept form is:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
3. In this case the equation of the line is:
[tex]y=-\frac{10}{7}x+7[/tex]
then:
[tex]m=-\frac{10}{7}\\\\b=7[/tex]
4. Find the x-intercept. Make y=0. Then:
[tex]0=-\frac{10}{7}x+7\\\frac{10}{7}x=7\\x=4.9[/tex]
5. Then, plot the line that passes through the points (0,7) and (4.9, 0).
6. The symbol of the inequality is < therefore, the line must be dashed and indicates that the region under the line must be shaded.
Then you obtain the graph attached.
Answer:
We need to graph the given inequality 10x + 7y < 49.
We can do that into 2 parts:
Part 1:
Graph the line 10x+7y=49
plug any number for x say x=0
10x+7y=49
10(0)+7y=49
0+7y=49
7y=49
y=49/7
y=7
hence it passes through point (0,7)
similarly plug y=0
10x+7(0)=49
10x=49
x=49/10
x=4.9
hence it passes through point (4.9,0)
Graph both points then join them by a straight dotted line because of < sign.
PART 2:
Shade the graph for inequality sign <
use any test point which is not on the given line say (0,0)
plug into original problem
10x + 7y < 49
10(0) + 7(0) < 49
0<49 is true
so shade in direction of test point
Hence final graph looks like:
Find the volume, in cubic centimetes, of the rectangular prism pictured below...
Answer:
V=18.75 or 18 3/4
Step-by-step explanation:
The formula for a rectangle prism is V=L×W×H
V=L×W×H
V= 3×2.5×2.5
V=18.75 or 18 3/4
Write an equation of the circle whose radius is 3 and whose center is (-1,6).
Answer:
(x+1)^2 + (y-6)^2 = 3^2
Step-by-step explanation:
The general equation for a circle is given by
(x-h)^2 + (y-k)^2 = r^2
where (h,k) is the center and r is the radius
Substituting in the point (-1,6) and the radius 3
(x--1)^2 + (y-6)^2 = 3^2
(x+1)^2 + (y-6)^2 = 3^2
Can you translate a mathemetical expression into a verbal expression?
Answer:
Yes, you can translate a mathemetical expression into a verbal expression.
Step-by-step explanation:
If that explantion was not helpful, you can always read out the equation verbally. For example, you can say that "three more than x" can be written as an algebraic expression. x + 3 x+ 3 x+3 .
How long will it take for Ramona to pay back her loan?
pretty sure it’s B if it’s talking about her car loan and that isn’t including the money she borrowed. lmk if that’s right
dora filed for chapter 13 bankruptcy in 2011. even if she planned to take the maximum time allowed under chapter 13 to repay her debts she must have planned to repay them by no later than what year
Answer:
2016 apex approved
Step-by-step explanation:
Answer:
Dora must have planned to repay her debts no later than year 2016.
Step-by-step explanation:
When a person enters into a Chapter 13 bankruptcy case, he or she can reorganize his/her debts or unpaid mortgage or any other loan payment. This can be paid off between three to five years with five years being the maximum allotted time frame.
So, if Dora filed for chapter 13 bankruptcy in 2011, she must have planned to repay her debts no later than [tex]2011+5=2016[/tex]
Quadrilateral A′B′C′D′ is a dilation of ABCD about point F.
What is the scale factor?
Answer:
The scale factor is 1.5
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
so In this problem
Let
z -----> the scale factor
[tex]z=\frac{B'C'}{BC}=\frac{C'D'}{CD}=\frac{D'A'}{DA}=\frac{A'B'}{AB}[/tex]
substitute the values
[tex]z=\frac{3}{2}=\frac{4.5}{3}=\frac{4.5}{3}=\frac{4.5}{3}[/tex]
therefore
[tex]z=1.5[/tex]
The scale factor is 1.5
There and Back Julian biked a 24 km trip to Guelph. On his way there, his average speed was 12 km/h. On his way home, he stopped for a break, so his average speed was only 8 km/h. What was his average speed, in km/h, for the entire round-trip?
Time taken by Julian to complete 24 km trip to Guelph at 12 km/h =
[tex]\frac{24}{12}=2[/tex] hours
Time taken by Julian for return trip at 8 km/h = [tex]\frac{24}{8}=3[/tex] hours
As given, the total distance is 24 + 24 = 48 km.
And the total time is 2 + 3 = 5 hrs.
Hence, the average speed for the entire trip is = [tex]\frac{48}{5}= 9.6[/tex]
The answer is 9.6 km/hour.
If there are 2,400 students,
52% are boys and 48% girls.
What is the ratio of boy and girl?
Answer:
13:12
Step-by-step explanation:
52% 2400 = 1248
48% 2400 = 1152
Reduce to 13/12 = 13:12
Theresa is planning to make a plastic cover for her new globe to keep it from being damaged. If Theresa’s new globe has a radius of 3 inches, then how much plastic will it take to cover her new globe?
A. 18(3.14) square inches
B. 72(3.14) square inches
C. 288(3.14) square inches
D. 36(3.14) square inches
Answer:
D
Step-by-step explanation:
The amount of plastic needed to cover the globe is the surface area of the globe. Since a globe is a sphere, the formula is SA = 4/3 πr³. Substitute r= 3 inches.
SA = 4/3 π(3)³ = 4/3 π * 27 = 36π
which of the following graphs represents the equation above
y= 1/3x - 3
Graph y because your y intercept is equal to -3 so that’s where you would start. Then your slope is equal to rise over run so you would go up 1 unit and right 3 since it’s positive
An angle in standard position has a terminal side that passes through (-1, -1). Choose all of the functions that will be negative for the angle.
sin
cos
tan
sec
csc
cot
Answer:
sin, cos, sec, csc
Step-by-step explanation:
If the terminal side passes through (-1, -1), the angle θ = 225° and is in the third quadrant.
sinθ = opp/hyp = -/+ = -
cosθ = adj/hyp = -/+ = -
tanθ = opp/adj = -/- = +
cotθ = adj/opp = -/- = +
secθ = 1/cosθ = -
cscθ = 1/sinθ = -
The functions that will be negative for the angle are sin, cos, sec, and csc.
Sketch seven points. Then, connect the points to form a closed plane figure. What kind of polygon did you draw?
It’s a heptagon, which has seven points.
Answer:
A Polygon that has 7 points would have to be a heptagon.
Step-by-step explanation: