Let Hypotenuse be x
X² = 20² + 28²
x² = 400 + 784
[tex] \tt x= \sqrt{400 + 784 } [/tex]
[tex] \tt x= \sqrt{1,184} [/tex]
[tex] \tt x= 34.4[/tex]
if un=0.75n-1 +3 and u0=10, find u4
A dog on a 5-foot leash runs around in one full circle while its owner stands still. Which is closest to the distance the dog went?
The distance closest to the distance the dog went is 31.42 ft
Since the dog moves around in one full circle, the distance the dog moves is the circumference of a circle.
Circumference of a circle
The circumference of a circle C = 2πr where r = radius of circle.
Now r = length of leash = 5 foot
So, substituting r into the equation, we have
C = 2πr
C = 2π × 5 ft
C = 10π ft
C = 10 × 3.142 ft
C = 31.42 ft
So, the distance closest to the distance the dog went is 31.42 ft
Learn more about circumference of a circle here:
https://brainly.com/question/15673093
what is the measure of angle B ???
Why are there two solutions for the equation |6 y| = 2? Explain.
Answer:
1/3 and -1/3
Step-by-step explanation:
6 times 1/3 = 2
because there are absolute value brackets that means that the answer can be 1/3 or -1/3 because the absolute value brackets will make it positive regardless.
PLS HELP! Will give 25 points!
Belinda wants to invest $1,000. The table below shows the value of her investment under two different options for three different years:
Number of years 1 2 3
Option 1 (amount in dollars) 1100 1210 1331
Option 2 (amount in dollars) 1100 1200 1300
Part A: What type of function, linear or exponential, can be used to describe the value of the investment after a fixed number of years using option 1 and option 2? Explain your answer.
Part B: Write one function for each option to describe the value of the investment f(n), in dollars, after n years.
Part C: Belinda wants to invest in an option that would help to increase her investment value by the greatest amount in 20 years. Will there be any significant difference in the value of Belinda's investment after 20 years if she uses option 2 over option 1? Explain your answer, and show the investment value after 20 years for each option.
Answer and explanation:
Given: Belinda wants to invest $1,000. The table below shows the value of her investment under two different options for three different years:
Number of years 1 2 3
Option 1 (amount in dollars) 1100 1200 1300
Option 2 (amount in dollars) 1100 1210 1331
To find:
Part A: What type of function, linear or exponential, can be used to describe the value of the investment after a fixed number of years using option 1 and option 2?
Part B: Write one function for each option to describe the value of the investment f(n), in dollars, after n years.
Part C: Will there be any significant difference in the value of Belinda's investment after 20 years if she uses option 2 over option 1?
Solution:
Part A: Linear and exponential functions can be used to describe the value of the investment after a fixed number of years using option 1 and option 2, respectively.
Part B: (n=n+100) and (n=n+100x) are the functions for each option to describe the value of the investment f(n), in dollars, after n years.
Part C: Yes, there will be a significant difference of 1900 in the value of Belinda's investment after 20 years if she uses option 2 over option 1.
Part A:
In the case of option 1, the linear function can be used to describe the value of the investment after a fixed number of years. This is because, in option one, the amount increases by a fixed amount every year.
In the case of option 2, the exponential function can be used to describe the value of the investment after a fixed number of years. This is because, in option 2, the amount increase is higher than last year.
Part B:
For option 1, the function is
For option 2, the function is
Here, x is the increase in amount every consecutive year.
Part C:
After 20 years, the amount from option 1 would be 3000 and the amount from option 2 would be 4900. Thus, there is a difference between 1900.
Therefore,
Part A: Linear and exponential functions can be used to describe the value of the investment after a fixed number of years using option 1 and option 2, respectively.
Part B: (n=n+100) and (n=n+100x) are the functions for each option to describe the value of the investment f(n), in dollars, after n years.
Part C: Yes, there will be a significant difference of 1900 in the value of Belinda's investment after 20 years if she uses option 2 over option 1.
Hope this helps
13. Online Car Auctioneer charges a commission for classified ads. If the car sells,
the seller is charged 4% of the advertised price, not of the price for which the
car actually sells. If the car doesn't sell, the seller pays nothing. If Barbara
advertises her Cadillac for $12,000 and sells it for $11,200, how much must
she pay for the ad?
Answer:
480
Step-by-step explanation:
4% of 12,000=480
Find the circumference of each circle. Use 3.14 for it. Round to the nearest 1 point
hundredth, if necessary. *
Answer:
π represents the ratio between circumference and diameter and for any circle, its always 3.14. Circumference = pi × diameter, so using your approximation of pi it's 10×3.14 = 31.4cm.
Step-by-step explanation:
0.0000024 in scientific notation
A serving of chickpeas contains 1,050 milligrams of potassium. How many grams of potassium is that?
Answer:
109 mg
Step-by-step explanation:
Answer:
1.05 Grams?
Step-by-step explanation:
Hope This Helps :)
Write an equation that can be used to answer the questions. Then solve. Round to the nearest tenth if necessary.
How tall is the building?
Answer:
17.3 ft
Step-by-step explanation:
We can use the Pythagorean theorem to solve
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
10^2 + h^2 = 20^2
100 + h^2 =400
Subtract 100 from each side
h^2 = 400-100
h^2 = 300
Taking the square root of each side
sqrt(h^2) = sqrt(300)
h = 17.32050808
Rounding to the nearest tenth
h = 17.3 ft
what is the slope?
HELP PLEASE RN
Take 2points
(-1,3)(2,-1)Slope:-
[tex]\\ \tt\longrightarrow m=\dfrac{-1-3}{2+1}=\dfrac{-4}{3}[/tex]
Answer:
y=mx+b
The slope of a linear function can be calculated by dividing the difference between y-values by the difference in corresponding x-values of any two points on the line. The slope and initial value can be determined given a graph or any two points on the line.
For example if you want to use the points from the line (-2,4) (7,-8) from the graph given to you you use the equation: m=(y2-y1)/(x2-x1) substitute the values: m= -8-4 / 7-(-2) = -1.3333
So the slope equals -1.3
The equation of the line is y = -1.3x + 2
I hope this helps.
QUESTION IN PIC- 20 POINTS
Answer:
18 terms
Step-by-step explanation:
The first given sequence has first term a1=2 and common difference d=5. Its explicit formula is ...
an = 2 +5(n -1) = 5n -3
We want the n-th term of this sequence to be the same as the n-th term of the sequence defined by ...
an = 4n +15
We can find n that makes this true by setting the 'an' values equal:
an = an
5n -3 = 4n +15
n = 18 . . . . . . . . . . add 3-4n
The number of terms in each sequence is 18.
_____
Additional comment
The last term in each sequence is 87.
Please help with this, 100 points.
Answer:
Refer to the attachment for solution
Answer:
Step-by-step explanation:
Refer to the attachment for a solution
How many wholes are in 7/2
Answer:
3 Wholes
Exact Amount: 3.5
............................
Answer:
? wdym
Step-by-step explanation:
well points i guess i also need one more brainliest if you can give
Answer:
The first one answer is 4 because 8x2=16 divide by 4 will equal 4.
The second one answer is 10 because 10 x 4=40 and divided by 4 will equal 4.
The third one answer is 6/6 which will equal 1 because it is an whole number.
Helped by QueenTloveI hoped this helped you out have an nice day.3/4 + 4/7 in lowest terms
Answer:
37/28 is the lowest form
Step-by-step explanation:
Hope this helps! :)
An item is regularly priced at $80. It is now priced at a discount of 20% off the regular price. What is the price now?
Answer:
64
Step-by-step explanation:
80*(1-0.2)
Since the discount is 20% off,
the sale price will be 100% - 20% = 80% of the regular price.
80% of $80
[tex] \frac{80}{100} \times 80[/tex]
[tex] \frac{8}{10} \times 80[/tex]
[tex] \frac{4}{5} \times 80[/tex]
[tex]0.8 \times 80[/tex]
= $ 64
Apple weights in an orchard are normally distributed. From a sample farmer Fred determines the mean weight of a box of apples to be 270 oz. with a standard deviation of 10 oz. He wonders what percent of the apple boxes he has grouped for sale will have a weight less than 255 oz. Z .00 .01 .05 ооооо 0.0 0.1 0.2 0.3 0.4 0.5 0000 .0398 .0793 .1179 .1554 .1915 .0040 0438 .0832 .1217 .1591 1950 0199 .0596 0987 .1368 .1736 2088 on Au OOOO - 0.6 0.7 0.8 0.9 1.0 DO NO 2257 .2580 .2881 3159 .3413 .2291 2611 2910 3186 3438 .2422 2734 3032 3289 3531 1.2 1.3 .3643 .3849 4032 .4452 4332 .3665 13869 4049 4207 4345 -3749 3944 4115 4265 4394 1.5 1.6 1.7 1.8 1.9 2.0 4452 4554 4641 -4713 4772 4463 4564 .4649 4719 4778 4505 4599 4678 -4744 4789 2.1 2.2 2.3 2.4 2.5 4821 .4861 4893 4918 4938 4826 4864 4996 4920 4940 4842 4878 4906 4929 4946 2.6 2.7 2.8 2.9 3.0 4953 4965 .4974 4981 4987 4955 4966 4975 4982 4987 4960 4970 4978 4984 -4989 . Carl calculates the z-score corresponding to the weight 255 oz. = Using the table (column.00), Carl sees the area associated with this z-score is O. Carl rounds this value to the nearest hundredth or 0. Now, Carl decides to find the percent associated with boxes less than 255 oz. so he rounds to hundredths and subtracts 0.50 -0. %. Unlimited Attempts Remain
Answer:2.07 is the answer as of e.2020
Step-by-Step: Mean = 270 Standard deviation = 10 x = 255 Formula for z-score, z = (x - mean)/SD z = (255 - 270) / 10 => z = -15 / 10 => z = -1.5 So by referring to z-table, -1.5 correlates to 0.0668 that implies to 0.07 So 7% of the boxes of Apples weight less than 255oz. The percentage of boxes is in the range of 255 oz and 270 oz, Now calculating the requiring percentage 50% - 7% = 43%
What percentage is the fraction equal to?
ur fatherless
lllmaaao
Tell how much each person gets when they share equally.
6 people share 12 muffins.
Answer: 2
If there are 6 people, and there are 12 muffins, then we simply divide 12 by 6. This gives us 2. Which means that each person can get 2 muffins.
Step-by-step explanation:
Hope this helps =)
i need help please thanks
Answer:
1+2=180(supplemental)
3+4=180
5+6=180
7+8=180
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Write the expression in simplest form.
( -11/2 x + 3) - 2 ( 11/4 x - 5/2)
Solution:
Note that:
Given expression: (-11x/2 + 3) - 2(11x/4 - 5/2)Simplifying the expression:
(-11x/2 + 3) - 2(11x/4 - 5/2)=> (-11x/2 + 3) + (-11x/2 + 5)=> -11x/2 + 3 - 11x/2 + 5=> -22x/2 + 8=> -11x + 8The simplified expression is -11x + 8.
[tex] \rm \: ( - \frac{11}{2} x + 3) - 2( \frac{11}{4} x - \frac{5}{2} )[/tex]
Distribute -2 through the parentheses
[tex] \rm \: ( - \frac{11}{2} x + 3) - \frac{11}{2} x + 5[/tex]
Remove the unnecessary parentheses
[tex] \rm \: - \frac{11}{2} x + 3 - \frac{11}{2} x + 5[/tex]
Calculate the difference
[tex] \rm \: - 11x + 3 + 5[/tex]
Calculate the sum
[tex] \boxed{ \mathfrak{ - 11x + 8}}[/tex]
HELP…this is probably easy…but still help.
Answer:
A) The parallelogram is a rhombus
Step-by-step explanation:
A rhombus is an equally 4-sided figure with two acute angles and two obtuse angles opposite of each other.
Factor completely. (a-b)*z+3(b-a)^2
Best answer gets brainliest+50 points, troll answer will be reported.
Answer:
az-bz+3b^2-6ab+3a^2
Hope this helps
I am really confused and need help.
Answer:
The 3rd, 4th, and 6th are correct but I'm not sure if the second would be correct as well.
Step-by-step explanation:
HELPPPPPPPPPPP NOW PLSSSS K12
Answer:
2
Step-by-step explanation:
Subtract -7--5=-2, there can not be a length on a rectangle of -2 so it would just be 2.
Answer:
2
Step-by-step explanation:
If 20 kids were on abus ad 5got off to finger there holes how many kids are on the bus now
Answer:
15
Step-by-step explanation:
What do you mean by 184x9302
Answer:
1711568
Step-by-step explanation:
184*9302 = 1711568
Use a calculator to check your work
A number c divided by 18
Answer:
The question is not complete
Select the correct answer. What is the ratio of the area of the inner square to the area of the outer square? A. B. C. D.
Answer:
the answer is written below
Step-by-step explanation:
Let side of Inner square be S and side of Outer side be mS.
Area of Inner Square = S**2
Area of Outer Square = (mS)**2
The ratio of area of Inner Square and Outer Square is 1:m**2
i.e. Area of Outer Square will be m**2 times Area of Inner Square.