let
(hypotenuse ) c = 10 in
(perpendicular) a = 8 in
(base) b =?
By using Pythagoras theorem
c^2= a^2+b^2
(10)^2 = (8)^2 +(b)^2
100 = 64 +(b)^2
100- 64 = (b)^2
36 = (b)^2
√36 = b
6 = b
hence b= 6 in
Question #2, show how you know
Answer: Choice B is correct.
==================================================
Explanation:
We are told that the derivative function f ' (x) is positive for all real numbers x. This means that f(x) is increasing for all real numbers. An increasing function goes uphill as you move from left to right. This rules out choices C and D.
We're also told that the integral of f(t), from t = 4 to t = 7, is equal to 0. Because f(x) is increasing, this must mean that some portion of f(x) is below the x axis and some portion is above the x axis when focused on the interval of [tex]4 \le x \le 7[/tex]. This allows us to rule out choice E since there are no portions that are below the x axis here.
At this point, the answer is between A and B. We can rule out choice A for similar reasoning we did with choice E. This time, there is no portion that is above the x axis. We need a negative area (below the x axis) to counterbalance with a positive area (above the x axis) so that the two areas cancel out and add to 0. That doesn't happen with choice A.
The only thing left is choice B so that must be the answer. We have a portion below the x axis and a portion above it, so it's possible that these two areas cancel out to add to 0. Since we don't know the actual f(x) function, it's impossible to tell whether that happens or not.
COLLEGE MATH!!! PLEASE HELP IF YOU KNOW!!!
Answer:
[tex]-\frac{3}{2}[/tex] + [tex]\ln \left(3\right)[/tex]
Step-by-step explanation:
[tex]\int _{-2}^3\:g\left(t\right)dt[/tex] = [tex]\int _{-2}^1\:g\left(t\right)dt[/tex] + [tex]\int _{1}^3\:g\left(t\right)dt[/tex] = [tex]\int _{-2}^1\:\left(t\right)dt[/tex] + [tex]\int _{1}^3\:\frac{1}{t} dt[/tex] = [tex]\left[\frac{t^{1+1}}{1+1}\right]^1_{-2}[/tex] + [tex]\left[\ln \left|t\right|\right]^3_1[/tex]
= [tex]\left[\frac{t^2}{2}\right]^1_{-2}[/tex] + [tex]\ln \left(3\right)[/tex] = [tex]-\frac{3}{2}[/tex] + [tex]\ln \left(3\right)[/tex]
Each student at Riverside Elementary has a student ID number made up of six numbers between 1 and 9. How many possible student ID's can be made? A. 60,480 B. 117,649 C. 531,441 D. 1,000,000. Please put a good explanation, I need to figure this out soon!
Answer:
C. 531,441
Step-by-step explanation:
You take the largest possible value and put it to the power of how many numbers there are. In this case 9^6. Hope this helps.
9.Find the area of each parellelogram.
Answer:
d. 8m2
Step-by-step explanation:
You multiply the base times the height
if a number is divisible by 5 and 12 what other number will it be divisible by
Answer: 60
Step-by-step explanation: The product of 5 and 12 is 60. So, the number is always divisible by 60.
Answer:
60
Step-by-step explanation:
5 x 12 which will If you answer at 60 and therefore the number, or which is always divisible by 5 and 12 both. It will always be divisible by 60 as well.
completa la tabla sobre el caso 6
Answer:
no me deja ver
Step-by-step explanation:
wyatt earns 21$ for painting fences for 3 hours, if wyatt charges at the same rate how many hours will it take him to earn 28?
Answer:
4 hours
Step-by-step explanation:
[tex]\frac{28}{21} :\frac{y}{3}[/tex]
21 · y = 3 · 28
21y = 84
21y ÷ 21 = 84 ÷ 21
y = 4
where happened if you have sex
Answer:
you have a chance of having a baby...
Answer:
chance of relief stress and having a baby
Step-by-step explanation:
hope it helps you
What is the absolute value of -9
Answer:
9
Step-by-step explanation:
the absolute value of a number is just how far away it is from 0, -9 is 9 away from 0. The absolute value of a number is always positive.
In ΔNOP, the measure of ∠P=90°, PO = 48, NP = 55, and ON = 73. What is the value of the sine of ∠N to the nearest hundredth?
Answer:
[tex]\sin(N) = 0.66[/tex]
Step-by-step explanation:
Given
[tex]\angle P = 90^o[/tex]
[tex]PO = 48; NP = 55; ON = 73[/tex]
Required
[tex]\sin(N)[/tex]
The given parameters is illustrated with the attached image.
From the attached, we have:
[tex]\sin(N) = \frac{Opposite}{Hypotenuse}[/tex]
[tex]\sin(N) = \frac{PO}{ON}[/tex]
[tex]\sin(N) = \frac{48}{73}[/tex]
[tex]\sin(N) = 0.66[/tex] -- approximated
I need help asap! Thank you!
Answer:
A. 55°
Step-by-step explanation:
Complementary angles are angles that add up to give us 90°.
Since <A and <B are complementary angles, it implies that:
m<A + m<B = 90°
If m<A = 35°, therefore:
35° + m<B = 90°
Subtract 35° from each side
m<B = 90° - 35°
m<B = 55°
URGENT PLEASE HELP!!!!
Use the figure to find the measures.
Area triangle DEF =
Answer:
The scale factor is the ratio of corresponding sides:
k = DE/AB = 1/4The area is the product of two dimensions so the ratio of areas is:
k² = (1/4)² = 1/16The area of ΔDEF:
A = 12*1/16 = 3/4 or 0.75Question 1
Upon retirement your mother received E 500, 000 lump sum. She expect to live for the next 15 years and will only depend on the retirement fund for income. Her bank offers 12% interest per annum. Advise your mother on how much she should withdraw from her bank at the end of each year for the duration of the desired life span? [10 marks]
Answer:
You'll need to look at the attached formula.
Annual Payout = 500,000 * .12 * (1.12)^15 / [(1.12)^15 -1]
Annual Payout = 500,000 * .12 * 5.4735657593 / [ 5.4735657593 -1]
Annual Payout = 500,000 * .12 * 5.4735657593 / [4.4735657593]
Annual Payout = 60,000 * 5.4735657593 / [4.4735657593]
Annual Payout = 73,412.12
Source: http://www.1728.org/annupay.htm
That's a LOT of calculating :-)
Step-by-step explanation:
3 times the difference of 4 and 2 equals
Answer:
6
Step-by-step explanation:
4-2 = 2 2x3 = 6
Answer:
6
Step-by-step explanation:
4-2=2
2x3=6
Last month, a coral reef grew 9000 millimeters taller. How much did it grow in meters? Be sure to include the correct unit in your answer.
I think it grow 9meters because when you convert millimeters to meters you divide by 1000
A model predicts that the population of a certain town was 10,000 in 2001. The model also
predicts that each year for the next 5 years, the population p increased by 8% of the previous
year's population. Which equation best represents this model, where X is the number of years after
2001, for X < 5?
Answer:
The equation that best represents this model is [tex]P(x) = 10000(1.08)^x[/tex]
Step-by-step explanation:
Exponential equation for population growth:
The exponential equation for population growth, after x years, is given by:
[tex]P(x) = P(0)(1+r)^x[/tex]
In which P(0) is the initial population and r is the growth rate.
A model predicts that the population of a certain town was 10,000 in 2001.
This means that [tex]P(0) = 10000[/tex]
8% yearly increase.
This means that [tex]r = 0.08[/tex]. So
[tex]P(x) = P(0)(1+r)^x[/tex]
[tex]P(x) = 10000(1+0.08)^x[/tex]
[tex]P(x) = 10000(1.08)^x[/tex]
The equation that best represents this model is [tex]P(x) = 10000(1.08)^x[/tex]
If I travel at a constant speed of 70 miles per hour for 2 hours and 15 minutes, how far will I go? 1 point Your answer
What’s the answer If you know the correct answer I will give you brainlist
Answer:
The answer is -51.24
Step-by-step explanation:
-4.20×6.1÷1/2
= -4.20×6.1×2/1
= -4.20×12.2
= -51.240
Re post because my last one was answered by one of those bots.
Answer:
5
Step-by-step explanation:
If you subtract the same thing from both sides, and you are left with 0 = 0, there are infinitely many solutions.
5x + 5 = 5x + ____
Subtract 5x from both sides.
5 = ____
What do you need on the right side, so that when you subtract the same number from both sides you end up with 0 = 0? Answer: 5.
5 = 5
Subtract 5 from both sides.
0 = 0
Let's go back to the original problem, and use a 5 in the blank.
5x + 5 = 5x + 5
Subtract 5x from both sides, and subtract 5 from both sides.
0 = 0
Since 0 = 0 is a true statement, the equation is true for every value of x.
Answer: 5
If a Variable has a normal distribution with mean 30 and standard deviation 5 find the probability that the variable will be between 25 and 37.
A. 0.77
B. 80
0.72
0.75
Answer:
P(25 < x < 37) = 0.77
Step-by-step explanation:
Given - If a Variable has a normal distribution with mean 30 and standard deviation 5
To find - find the probability that the variable will be between 25 and 37.
Proof -
Given that,
Mean, μ = 30
S.D, σ = 5
Now,
[tex]z = \frac{x-\mu}{\sigma}[/tex] ~ N(0,1)
Now,
P(25 < x < 37)
= [tex]P(\frac{25 - 30}{5} < z < \frac{37 - 30}{5} )[/tex]
= P(1 < z < 1.4)
= P(z < 1.4) - P(z < -1)
= 0.9192 - 0.1587
= 0.7605
≈ 0.77
∴ we get
P(25 < x < 37) = 0.77
Answer this simple quick question!! Pls :)
Answer:
Either B or C.
Step-by-step explanation:
Sorry if that is not very helpful. I would do C but I am not 100% sure. so sorry.
What number plus 12 divided by 3 is 92
Answer:
Step-by-step explanation:
The answer is 264.
Hope it helped you.
Plz mark me brainliest.
Answer:
[tex]264[/tex]
Step-by-step explanation:
Let the unknown number be x
[tex] \frac{x + 12}{3} = 92 \\ x + 12 = 92 \times 3 \\ x + 12 = 276 \\ x = 276 - 12 \\ x =26 4[/tex]
hope this helps you.
Can I have the brainliest please?
Have a nice day!
Help plz:)))I’ll mark u Brainliest
Answer:
Step-by-step explanation:
if the radius is one (1) and the also h is one (1) we can see that 2/3 pi for the hemisphere is going to be much larger than 1/3 pi for the cone
This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A bowl contains 10 red balls and 10 blue balls. A woman selects balls at random without looking at them. How many balls must she select to be sure of having at least three balls of the same color
Answer:
3 red balls and 1 blue ball
the side length of a triangle are 9,12 and 15. Which side will be opposite the right angle?
Answer:
The hypotenuse. Since it is the opposite of the right angle
The largest number is the hypotenuse
therefore, 15 is the answer.
Answer:
c
Step-by-step explanation:
The hypotenuse. Since it is the opposite of the right angle
The largest number is the hypotenuse
therefore, 15 is the answer.
What is the solution to the system of equations?
X - 3y – Z=-9
-2x + y + 2z = 3
2x + y + 3z = 8
Answer:
x = 1 y = 3 z = 1
Step-by-step explanation:
(1) x - 3y - z = -9 (2) -2x + y + 2z = 3 (3) 2x + y + 3z = 8
2x(1) 2x - 6y - 2z = -18 (2) -2x + y + 2z = 3
- 5y = -15 2y + 5z = 11
y = 3 2(3) + 5z = 11
6 + 5z = 11
5z = 5
z = 1
x - 3(3) - 1 = -9
x - 9 - 1 = -9
x - 10 = -9
x = 1
Note: If you write your equations across your paper, then the work can just flow down the paper. It makes it so much easier to show the work you have done. OK?
In a study of housing demand, a county assessor is interested in developing a regression model to estimate the selling price of residential properties within her jurisdiction. She randomly selects several houses and records the selling price in addition to the following values: the size of the house (in square feet), the total number of rooms in the house, the age of the house, and an indication of whether the house has an attached garage. These data are stored in the file HousingDemand.
A. Estimate and interpret a multiple regression equation that includes the four potential explanatory variables. How do you interpret the coefficient of the Attached Garage variable?
B. Evaluate the estimated regression equation’s goodness of fit.
C. Use the estimated equation to predict the sales price of a 3000-square-foot, 20-year-old home that has seven rooms but no attached garage. How accurate is your prediction?
House Selling Price Size # Rooms Age Attached Garage
1 $240,800 3070 7 23 1
2 $215,200 2660 6 23 1
3 $199,200 2390 7 20 1
4 $182,400 2240 6 9 0
5 $144,800 1500 7 17 0
6 $126,400 1440 7 8 0
7 $312,000 3720 9 31 1
8 $185,600 2520 7 15 1
9 $176,800 2160 7 8 0
10 $162,400 2140 8 20 1
11 $304,000 3000 8 15 1
12 $256,000 3000 8 18 1
13 $222,400 2700 7 17 1
14 $159,200 2020 7 18 0
15 $130,400 1200 6 17 0
Answer:
y = 78.4286x1 + 7170.2361x2 - 236.2895x3 - 5663.3894x4 - 29470.2716
Goodness of fit = 0.8929
Predicted price = $251,281
Step-by-step explanation:
Selling price (Y) :
240800
215200
199200
182400
144800
126400
312000
185600
176800
162400
304000
256000
222400
159200
130400
Size (X1) :
3070
2660
2390
2240
1500
1440
3720
2520
2160
2140
3000
3000
2700
2020
1200
Room (x2) :
7
6
7
6
7
7
9
7
7
8
8
8
7
7
6
Age (X3) :
23
23
20
9
17
8
31
15
8
20
15
18
17
18
17
Attached garage (X4) :
1
1
1
0
0
0
1
1
0
1
1
1
1
0
0
Multiple regression model:
y = a1x1 + a2x2 + a3x3 + a4x4 + c
Where, a1, a2, a3, a4 are the Coefficients
c = intercept
The result of the multiple regression fit using a multiple regression calculator is :
y = 78.4286x1 + 7170.2361x2 - 236.2895x3 - 5663.3894x4 - 29470.2716
The cost of housing with an attached garage decreases by $5663.3894
Goodness of fit of the regression equation is 0.8929
Use the estimated equation to predict the sales price of a 3000-square-foot, 20-year-old home that has seven rooms but no attached garage.
Put values in the regression equation :
y = 78.4286(3000) + 7170.2361(7) - 236.2895(20) - 5663.3894(0) - 29470.2716
y = $251281.3911
Hence, predicted value is $251,281
Which set of output values correctly completes the function table y=2x-4
Answer:
Step-by-step explanation:
Assuming there are no leap years, what would the total 3-year cost be for a laptop that has an average lifespan of 10 years, when you purchased it for $780 and the daily cost to use it is $0.36
A $394.20
B$565.92
C$78.00
D$S1174 20
Answer:
Step-by-step explanation:
The total cost for the laptop for 3 years is $1174.20.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Given that,
Cost of the laptop when purchased = $780
Daily cost = $0.36
Number of days in 3 years = 3 × 365 = 1095 days
Cost for the laptop for 3 years = 1095 × $0.36
= $394.20
Total 3 year cost = $394.20 + $780
= $1174.20
Hence the total cost for the laptop is $1174.20.
Learn more about Multiplication here :
https://brainly.com/question/4249909
#SPJ2
Pls help me with this
Answer:
area i belive u add or multiply look it us it will tell u
Answer:
I think the answer is 108.04