Answer:
1) A
B) 5.818 stops
Step-by-step explanation:
Number One is less than or equal to 21 because the person only has 21 dollars, so she can't spend more than 21.
B can be solved through the equation by first subtracting $5, and then dividing 2.75 by 16.
Show that Reſiz) = -Im(z)
Step-by-step explanation:
[tex]re(i(x + yi) = - im(x + yi) \\ re(xi - y) = - im(x + yi) \\ - y = - (y) \\ - y = - y \\ proved \: is \: correct[/tex]
The recursive formula for a geometric sequence is given below.
f(1) = 5
(n) = 3 . f(n − 1), for n > 2
What is the 7th term in the sequence?
Answer:
3645
Step-by-step explanation:
f(1)=5
f(2)=3*5=15.
f(3)=45, basically it's a geometric sequence with formula an=5*(3)^(n-1). The 7th term is 5*(3)^6=3645
plez halppp mehh ;-;
Answer:
False
True
True
Step-by-step explanation:
Angle 1 cannot be equal to angle 4. Even by just viewing one can see that they can't be equal.
Angle 1 and 2 when combined give a 90 degree angle going from a to c.
Angle 3 and 4 form a 180 degree angle.
HOPE THIS HELPED
4(x+4) =2x-1
8
Show work
Answer:
4(x+4) =2x-18
4x+16=2x‐18
4x–2x= –18 –16
2x= – 34
x= –34/2
x= – 17
I hope I helped you^_^
Step-by-step explanation:
[tex]thank \: you[/tex]
how many wall are there in your room? what are the shape of the floor and ceiling in your room ? how can you find the area of each shape?prepare the answer. present the conclusion in the form of report. plz answer the question in right.how many wall are there in your room? what are the shape of the floor and ceiling in your room ? how can you find the area of each shape?prepare the answer. present the conclusion in the form of report. plz answer the question in right. plz answer the question steps by step.
The population of Americans age 55 and older as a percentage of the total population is approximated by the function f(t) = 10.72(0.9t + 10)^0.3 (0 <= t < = 20)
where t is measured in years, with t=0 corresponding to the year 2000.
Required:
a. At what rate was the percentage of Americans age 55 and older changing at the beginning of 2002?
b. At what rate will the percentage of Americans age 55 and older be changing in 2017?
c. What will be the percentage of the population of Americans age 55 and older in 2017?
Answer:
Part A)
About 0.51% per year.
Part B)
About 0.30% per year.
Part C)
About 28.26%.
Step-by-step explanation:
We are given that the population of Americans age 55 and older as a percentange of the total population is approximated by the function:
[tex]f(t) = 10.72(0.9t+10)^{0.3}\text{ where } 0 \leq t \leq 20[/tex]
Where t is measured in years with t = 0 being the year 2000.
Part A)
Recall that the rate of change of a function at a point is given by its derivative. Thus, find the derivative of our function:
[tex]\displaystyle f'(t) = \frac{d}{dt} \left[ 10.72\left(0.9t+10\right)^{0.3}\right][/tex]
Rewrite:
[tex]\displaystyle f'(t) = 10.72\frac{d}{dt} \left[(0.9t+10)^{0.3}\right][/tex]
We can use the chain rule. Recall that:
[tex]\displaystyle \frac{d}{dx} [u(v(x))] = u'(v(x)) \cdot v'(x)[/tex]
Let:
[tex]\displaystyle u(t) = t^{0.3}\text{ and } v(t) = 0.9t+10 \text{ (so } u(v(t)) = (0.9t+10)^{0.3}\text{)}[/tex]
Then from the Power Rule:
[tex]\displaystyle u'(t) = 0.3t^{-0.7}\text{ and } v'(t) = 0.9[/tex]
Thus:
[tex]\displaystyle \frac{d}{dt}\left[(0.9t+10)^{0.3}\right]= 0.3(0.9t+10)^{-0.7}\cdot 0.9[/tex]
Substitute:
[tex]\displaystyle f'(t) = 10.72\left( 0.3(0.9t+10)^{-0.7}\cdot 0.9 \right)[/tex]
And simplify:
[tex]\displaystyle f'(t) = 2.8944(0.9t+10)^{-0.7}[/tex]
For 2002, t = 2. Then the rate at which the percentage is changing will be:
[tex]\displaystyle f'(2) = 2.8944(0.9(2)+10)^{-0.7} = 0.5143...\approx 0.51[/tex]
Contextually, this means the percentage is increasing by about 0.51% per year.
Part B)
Evaluate f'(t) when t = 17. This yields:
[tex]\displaystyle f'(17) = 2.8944(0.9(17)+10)^{-0.7} =0.3015...\approx 0.30[/tex]
Contextually, this means the percetange is increasing by about 0.30% per year.
Part C)
For this question, we will simply use the original function since it outputs the percentage of the American population 55 and older. Thus, evaluate f(t) when t = 17:
[tex]\displaystyle f(17) = 10.72(0.9(17)+10)^{0.3}=28.2573...\approx 28.26[/tex]
So, about 28.26% of the American population in 2017 are age 55 and older.
Given: AABC, AC = 5
m C = 90°
m A= 22°
Find: Perimeter of AABC
A
C
B
9514 1404 393
Answer:
perimeter ≈ 12.4 units
Step-by-step explanation:
The side adjacent to the angle is given. The relationships useful for the other two sides are ...
Tan = Opposite/Adjacent
Cos = Adjacent/Hypotenuse
From these, we have ...
opposite = 5·tan(22°) ≈ 2.02
hypotenuse = 5/cos(22°) ≈ 5.39
Then the perimeter is ...
P = a + b + c = 2.02 + 5 + 5.39 = 12.41
The perimeter of ∆ABC is about 12.4 units.
Complete the coordinate table for the given equation.
Xy=-4
Step-by-step explanation:
X= -4,-2,2,4 (respectively)
Y=4,-4 (respectively)
hope it helps
Question 6 of 11 Step 1 of 6 No Time Limit The table below gives the list price and the number of bids received for five randomly selected items sold through online auctions. Using this data, consider the equation of the regression line, û = bo + bjx, for predicting the number of bids an item will receive based on the list price. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant.
Price in Dollars 23 34 44 46 50
Number of Bids 1 2 4 9 10
Step 1 of 6: Find the estimated slope. Round your answer to three decimal places.
The estimated slope is approximately 2.344
The given table is presented as follows;
[tex]\begin{array}{ccc}Number \ of Bids &&Price \ in \ Dollars\\1&&23\\2&&34\\4&&44\\9&&46\\10&&50\end{array}[/tex]
The regression line formula to be considered = [tex]\bar u = b_0 + b\cdot \bar x[/tex]
The required parameter is;
The estimated slope
The method to find the estimate slope;
The least squares regression formula (method) is presented as follows;
[tex]\bar u = b_0 + b\cdot \bar x[/tex]
Where;
b₀ = The y-intercept
[tex]\mathbf{ b = \dfrac{\sum \left(x_i - \bar x\right) \times \left(u_i - \bar u\right) }{\sum \left(x_i - \bar x\right )^2 } = The \ estimated \ slope}[/tex]
From MS Excel, we have;
[tex]\bar x[/tex] = 5.2, [tex]\bar u[/tex] = 39.4
[tex]\sum \left(x_i - \bar x\right) \times \left(u_i - \bar u\right)[/tex] = 156.6
[tex]{\sum \left(x_i - \bar x\right )^2 }[/tex] = 66.8
Therefore;
The estimated slope, b = 156.6/66.8 ≈ 2.344 (by rounding the answer to three decimal places)
Learn more about regression line here;
https://brainly.com/question/23528764
Simplify the following expression.
3(2k + 3) -8k + 5 + 5
Answer:
Step-by-step explanation:
3*(2k + 3) - 8k + 5 + 5 Remove the brackets on the left
6k + 9 - 8k + 5 + 5 Combine like terms
6k-8k+9 + 5 + 5
-2k + 19
√10 Multiple √15 is equal to
(a) 6√5
(b) √30
(c) √25
step by step
Solve :-
dont answer stantham
[tex]\\ \sf\longmapsto \sqrt{10}\times \sqrt{15}[/tex]
[tex]\\ \sf\longmapsto \sqrt{10\times 15}[/tex]
[tex]\\ \sf\longmapsto \sqrt{2\times 5\times 3\times 5}[/tex]
[tex]\\ \sf\longmapsto \sqrt{5\times 5\times 6}[/tex]
[tex]\\ \sf\longmapsto 5\sqrt{6}[/tex]
None of the above should be 4th option
Find the 100th term of the sequence 4, 7, 10, 13...
a) 301
b) 313
c) 281
d) 279
Answer:
A
Step-by-step explanation:
The first term of the sequence is 4, the common difference is 3. So the equation of this sequence is 4+(n-1)*3 or 1+3*n. Plug in n=100
find the value of x. help with geometry pls
Answer:
Find the value of x:-
To find Y, use Pythagorean theorem:- [tex]c^{2} =a^{2} +b^{2}[/tex]
[tex](2.1)^{2} =y^{2} +(1.4)^{2}[/tex]
[tex]2.1^{2}=4.41[/tex]
[tex]1.4^{2} =1.96[/tex]
[tex]4.41=y^{2} +1.96[/tex]
subtract 1.96 from both sides
[tex]2.45=y^{2}[/tex]
[tex]y=1.5652[/tex]
Now, to find x:-
[tex]x=y+y[/tex]
[tex]= 1.5632+1.5652[/tex]
[tex]x=3.1 \: ft[/tex]
~OAmalOHopeO
Question Which of the following is a benefit of using email to communicate at work ? a) You can express yourself in a limited number of characters b) You don't have to worry about using proper grammar. c) You always get a response right away. d ) You can reach a large audience with one communication .
Answer:
d) you can reach a large audience with one communication
Step-by-step explanation:
common sense
a. 1140
b. 1130
c. 1120
d. 115
Answer:
1130
Step-by-step explanation:
1109+7 = 1116
1116+7 = 1123
Adding 7 each time
1123+7 = 1130
Express the speed of 0.0000000015 seconds in scientific notation
[tex]\\ \sf\longmapsto 0.0000000015[/tex]
[tex]\\ \sf\longmapsto 0.0015\times 10^{-6}s[/tex]
[tex]\\ \sf\longmapsto 0.015\times 10^{-7}s[/tex]
[tex]\\ \sf\longmapsto 0.15\times 10^{-8}s[/tex]
[tex]\\ \sf\longmapsto 1.5\times 10^{-9}s[/tex]
Answer: 0.0000000015 = 1.5 × 10⁻⁹
Concept:
When converting an integer to scientific notation:
- If the number is ≥1, then count the moves of the decimal point to the right until the number is 0<number<10. The number of moves will be the exponent that is positive.
- For example: If converting 300, since there are two moves until it is left with 0<3<10. Thus, the scientific notation will be 3 × 10²
- If the number is <1, then count the moves of the decimal point to the left until the number is 0<number<10. The number of moves will be the exponent that is negative.
- For example: If converting 0.004, since there are three moves until it is left with 0<4<10. Thus, the scientific notation will be 4 × 10⁻³
Solve:
0.0000000015
The decimal point needs to move 9 times to the left to get a number that is between 0 and 10. The number is 1.5.
Thus, the scientific notion of 0.0000000015 will be 1.5 × 10⁻⁹
Hope this helps!! :)
Please let me know if you have any questions
Find the slope of the line passing through the points (9, 1) and (9,-4).
Answer:
slope is undefined
Step-by-step explanation:
(9, 1 ) and (9, - 4 )
Since the x- coordinates of the 2 points are 9, then the line is vertical and parallel to the y- axis with slope being undefined.
Slope is the change in y over the change in x.
Slope = (-4 - 1) / (9 -9) = -5/0 you cannot divide by 0,so the slope is undefined. This means it is a vertical line
Kinsey has a plan to save $60 a month for 16 months so that she can purchase a new television. After 11 months Kinsey has saved $600. If the most that Kinsey can possibly save is $80 per month, which of the following statements is true? a. Kinsey will meet her goal and does not need to adjust her plan. b. Kinsey must save $72 per month to achieve her goal. c. Kinsey must save $75 per month to achieve her goal. d. Kinsey will not be able to achieve her goal. Please select the best answer from the choices provided A B C D
Answer:
b. Kinsey must save $72 per month to achieve her goal.
Step-by-step explanation:
Goal over 16 months: $60 x 16 = $960
Collected after 11 months: $600
$360 still needed5 months lefts$360 ÷ 5 = $72
Kinsey must save $72 per month to achieve her goal. The answer we got by converting the sentence to Equation and solving.b is the required answer.
Kinsey has a plan to save $60 a month for 16 months so that she can purchase a new television. After 11 months Kinsey has saved $600. If the most that Kinsey can possibly save is $80 per month, which of the following statements given is true.
What is an Equation?Two expressions with equal sign is called equation.
Goal over 16 months: $60 x 16 = $960
Collected after 11 months: $600
$360 still needed
5 months lefts
$360 ÷ 5 = $72
Therefore Kinsey must save $72 per month to achieve her goal.
To learn more about equations click here: https://brainly.com/question/19297665
#SPJ2
if 7a - 11b = 0, what will be the value of a:b
Answer:
11:7
Step-by-step explanation:
Solution
Here
7a-11b=0
a:b=?
we know that
a=7
b=11
ans =11:7
Hence proved
Answer:
[tex]thank \: you[/tex]
a certain number plus two is five find the number
x=3
Step-by-step explanation:
x+2=5
x=5-2
x=3
a car completes a journey in 8hours it covers half the distance at 40kms per hours and the rest at 60 km per hour. what is the total distance of the journey?
Answer:
384 kmph
Step-by-step explanation:
3 coins Priya spends $45 on gas, $10 on dinner, and $8 on a video game. How much money did Priya spend on variable expenses?
Answer:
3x=63
Step-by-step explanation:
3 coins means a coin is x and total expenditure is equal to 63
3. Find the least common denominator for the group of denominators using the method of prime numbers. 45, 75, 63
We have to find LCM
3 | 45,75,63
3 | 15,25,21
5 | 5,25,7
5 | 1,5,7
7 | 1,1,7
LCM=3×3×5×5×7=1575
The least common denominator for the group of denominators using the method of prime numbers is 1575.
What is least common multiple?LCM stands for Least Common Multiple. It is a method to find the smallest common multiple between any two or more numbers. A factor is one of the numbers that multiplies by a whole number to get that number.
For the given situation,
The numbers are 45, 75, 63
Prime factors of 45 = [tex]3,3,5[/tex]
Prime factors of 75 = [tex]3,5,5[/tex]
Prime factors of 63 = [tex]3,3,7[/tex]
Then the LCM can be found by, first take the common factors then multiple the remaining factors as,
⇒ [tex](3)(3)(5)(5)(7)[/tex]
⇒ [tex]1575[/tex]
Hence we can conclude that the least common denominator for the group of denominators using the method of prime numbers is 1575.
Learn more about least common multiple here
https://brainly.com/question/24859913
#SPJ2
Lynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profit (in dollars) realized from renting out x apartments is given by the following function. p(x)=-12x^2+2160x-59000 To maximize the monthly rental profit, how many units should be rented out? units What is the maximum monthly profit realizable?
Answer:
To maximize the monthly rental profit, 90 units should be rented out.
The maximum monthly profit realizable is $38,200.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
In this question:
Quadratic equation with [tex]a = -12, b = 2160, c = -59000[/tex]
To maximize the monthly rental profit, how many units should be rented out?
This is the x-value of the vertex, so:
[tex]x_{v} = -\frac{b}{2a} = -\frac{2160}{2(-12)} = \frac{2160}{24} = 90[/tex]
To maximize the monthly rental profit, 90 units should be rented out.
What is the maximum monthly profit realizable?
This is p(90). So
[tex]p(90) = -12(90)^2 + 2160(90) - 59000 = 38200[/tex]
The maximum monthly profit realizable is $38,200.
(x
3
+y
3
)(xy
4
+7)
Answer:
question is not proper
Step-by-step explanation:
question is
Which subset(s) of numbers does 5 3/8 belong to ?
Answer:
Rational number
Step-by-step explanation:
Given
[tex]5\frac{3}{8}[/tex]
Required
The subset it belongs to
Express as improper fraction
[tex]5\frac{3}{8} = \frac{43}{8}[/tex]
The above number is rational because it is represented by the division of 2 integers, i.e. 43 and 8 are integers
Express as decimals
[tex]5\frac{3}{8} = 5.375[/tex]
The above number cannot be classified as integers or whole because it has decimal parts
(X^2 + 6x + 8) divided (x + 2)
Answer:
x+ 4
Step-by-step explanation:
____x__+4___
x+2 | [tex]x^2 + 6x + 8[/tex]
[tex]x^2 + 2x[/tex]
------------
[tex]4x + 8\\[/tex]
[tex]4x + 8\\[/tex]
--------
0
Answer:
x+4
Step-by-step explanation:
Knowing that AQPT = AARZ, a congruent side pair is:
Answer:
A. QT ≅ AZ
Step-by-step explanation:
When writing a congruence statement of two triangles, the order of arrangement of the letters used in naming the triangles are carefully considered. Corresponding sides and angles of both triangles are arranged accordingly in the order they appear.
Given that ∆QPT ≅ ∆ARZ, we have the following sides that correspond and are congruent to each other:
QP ≅ AR
PT ≅ RZ
QT ≅ AZ
The only correct one given in the options given above is QT ≅ AZ
Evaluate the line integral
Soydx + zdy + xdz,
[»= f (t)=dw= f'(t)dt
where C is the parametric curve
x=t, y=t, z=ť, Ost<1.
It looks like you're asked to compute
[tex]\displaystyle\int_C y\,\mathrm dx + z\,\mathrm dy + x\,\mathrm dz[/tex]
where C is parameterized by ⟨t, t, t⟩ with 0 ≤ t ≤ 1.
In other words, x = y = z = t, so dx = dy = dz = dt, and the integral reduces to
[tex]\displaystyle\int_C y\,\mathrm dx + z\,\mathrm dy + x\,\mathrm dz = \int_0^1 t\,\mathrm dt + t\,\mathrm dt + t\,\mathrm dt \\\\ = 3 \int_0^1 t\,\mathrm dt \\\\ =\frac32t^2\bigg|_{t=0}^{t=1} \\\\ =\boxed{\frac32}[/tex]
A sample of 900 computer chips revealed that 61% of the chips fail in the first 1000 hours of their use. The company's promotional literature claimed that under 64% fail in the first 1000 hours of their use. Is there sufficient evidence at the 0.02 level to support the company's claim
Answer:
The p-value of the test is 0.0301 > 0.02, which means that there is not sufficient evidence at the 0.02 level to support the company's claim.
Step-by-step explanation:
The company's promotional literature claimed that under 64% fail in the first 1000 hours of their use.
At the null hypothesis, we test if the proportion is of at least 64%, that is:
[tex]H_0: p \geq 0.64[/tex]
At the alternative hypothesis, we test if the proportion is of less than 64%, that is:
[tex]H_1: p < 0.64[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
64% is tested at the null hypothesis:
This means that [tex]\mu = 0.64, \sigma = \sqrt{0.64*0.36}[/tex]
A sample of 900 computer chips revealed that 61% of the chips fail in the first 1000 hours of their use.
This means that [tex]n = 900, X = 0.61[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.61 - 0.64}{\frac{\sqrt{0.64*0.36}}{\sqrt{900}}}[/tex]
[tex]z = -1.88[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion below 0.61, which is the p-value of z = -1.88.
Looking at the z-table, z = -1.88 has a p-value of 0.0301.
The p-value of the test is 0.0301 > 0.02, which means that there is not sufficient evidence at the 0.02 level to support the company's claim.
