Answer:
5x^2+5x-1
Step-by-step explanation:
-2x^2+9x-3+7x^2-4x+2=5x^2+5x-1
Which of the following is the equation of the quadratic function below?
A. y = x2 - 2x+2
B. y = x +2x-2
C. y = x2 - 8x+12
D. y = x2 +8x-12
Basic factoring. Please help!
Answer:
-1(3 - y)
Step-by-step explanation:
If you factor out a negative 1, you will get the opposite signs you already have, so -1(3 - y). To check, we can simply distribute again:
-3 + y
So our answer is 2nd Choice.
What is the equation of BD, simplified?
Third option is the correct answer.
Answer:
[tex] y = \bigg[ \frac{2b}{(2a - c)} \bigg]x - \bigg[ \frac{2bc}{(2a - c)} \bigg][/tex]
Step-by-step explanation:
[tex]y - y_1 = m(x - x_1) \\ \\ y - 0 = \bigg[ \frac{2b}{(2a - c)} \bigg] (x - c) \\ \\ y = \bigg[ \frac{2b}{(2a - c)} \bigg]x - \bigg[ \frac{2b}{(2a - c)} \bigg]c \\ \\ \purple { \boxed{ \bold{y = \bigg[ \frac{2b}{(2a - c)} \bigg]x - \bigg[ \frac{2bc}{(2a - c)} \bigg]}}} \\ [/tex]
All help is appreciated! If sin²(32°) +cos² (M) = 1, then M equals?
Answer: M=32°
Step-by-step explanation:
The identity sin²(x)+cos²(x)=1 can help us figure out the value of M. You can see that the problem's format fits exactly the identity. Since x is the same in the identity, we know that M=32°.
Determine the function which corresponds to the given graph. (3 points) a natural logarithmic function crossing the x axis at negative two and y axis at one.
The asymptote is x = -3.
Answer:
[tex]y =log_e(x+3)[/tex]
Step-by-step explanation:
It is given that the graph corresponds to a natural logarithmic function.
That means, the function [tex]y[/tex] has a natural log (Log with base [tex]e[/tex]) of some terms of x.
It is given that asymptote of given curve is at [tex]x= -3[/tex]. i.e. when we put value
[tex]x= -3[/tex], the function will have a value [tex]y \rightarrow \infty[/tex].
We know that natural log of 0 is not defined.
So, we can say the following:
[tex]log_e(x+a)[/tex] is not defined at [tex]x= -3[/tex]
[tex]\Rightarrow x+a =0\\\Rightarrow x = -a[/tex]
i.e. [tex]x =-a[/tex] is the point where [tex]y \rightarrow \infty[/tex]
a = 3
Hence, the function becomes:
[tex]y =log_e(x+3)[/tex]
Also, given that the graph crosses x axis at x = -2
When we put x = -2 in the function:
[tex]y =log_e(-2+3) = log_e(1) = 0[/tex]
And y axis at 1.
Put x = 0, we should get y = 1
[tex]y =log_e(0+3) = log_e(3) \approx 1[/tex]
So, the function is: [tex]y =log_e(x+3)[/tex]
Population of town was 21000 in 1980 and it was 20000 in 1990. Assuming the population is decreasing continuously at a rate proportion to the existing population, estimate the population in 2010.
Answer:
19,000
Step-by-step explanation:
Here, we are to estimate the population in the year 2010
From the question, we can see that within a period of a decade which is 10 years, 1000 was lost
So within the period of another decade, it is possible that another 1000 be lost
The estimated population in the year 2010 is thus 20,000 - 1,000 =
19,000
Suppose that the number of square feet per house are normally distributed with an unknown mean and standard deviation. A random sample of 22 houses is taken and gives a sample mean of 1500 square feet and a sample standard deviation of 151 square feet. 1. The EBM, margin of error, for a 95% confidence interval estimate for the population mean using the Student's t. distribution is 66.96.2. Find a 95% confidence interval estimate for the population mean using the Student's t-distribution.
Answer:
1. The margin of error is of 66.96 square feet.
2. The 95% confidence interval estimate for the population mean using the Student's t-distribution is between 1433.04 square feet and 1566.96 square feet
Step-by-step explanation:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 22 - 1 = 21
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 21 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.08
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.08*\frac{151}{\sqrt{22}} = 66.96[/tex]
In which s is the standard deviation of the sample.
The margin of error is of 66.96 square feet.
The lower end of the interval is the sample mean subtracted by M. So it is 1500 - 66.96 = 1433.04 square feet
The upper end of the interval is the sample mean added to M. So it is 1500 + 314 = 1566.96 square feet
The 95% confidence interval estimate for the population mean using the Student's t-distribution is between 1433.04 square feet and 1566.96 square feet
The inclination (tilt) of an amusement park ride is accelerating at a rate of 2160 degreesmin22160\,\dfrac{\text{degrees}}{\text{min}^2} 2160 min 2 degrees 2160, start fraction, start text, d, e, g, r, e, e, s, end text, divided by, start text, m, i, n, end text, squared, end fraction . What is the ride's acceleration rate in degreess2\dfrac{\text{degrees}}{\text{s}^2} s 2 degrees start fraction, start text, d, e, g, r, e, e, s, end text, divided by, start text, s, end text, squared, end fraction ? degreess2\dfrac{\text{degrees}}{\text{s}^2} s 2 degrees
Answer:
um
Step-by-step explanation:
not sure sorry
what is the y-intersept of y=4x-6
━━━━━━━☆☆━━━━━━━
▹ Answer
y-intercept = -6
▹ Step-by-Step Explanation
The format of slope is:
y = mx + b
The b represents the y-intercept which is, -6.
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer: -6
Step-by-step explanation: This equation is written in slope-intercept form which is more commonly known as y = mx + b form where the multiplier or the coefficient of the x term represents the slope of the line and the b or the constant term represents the y-intercept.
So this line has a y-intercept of -6.
This means it crosses the y-axis 6 units up from origin.
1. Write down a pair of integers
(a) sum is -7
Answer:
-10, 3
Step-by-step explanation:
-10, 3 work since
-10 + 3 = -7
which of these is a ratio table?
Answer:
The last graph.
Step-by-step explanation:
The last graph is the only one that has a constant pattern that can have a rule, which is every number is multiplied by two.
Hope this helped ! good luck :)
12
12
Francis Bacon and his wife purchased a condominium on the beach for $235,000.
They made a $40,000 down payment. Their annual expenses were mortgage
interest of $11,700, depreciation of 3% of the purchase price of the house, and
taxes, repairs, and insurance of $15,430. They rented the condo for $3,000 per
month. What is the annual yield?
(A) 1.52%
(C) 3.62%
(B) 2.55%
(D) 4.55%
Answer:
D) 4.55%
Step-by-step explanation:
Given:
Rented Income = $3000 per month
= $3000 * 12 = $36,000 annually
Less : - Annual expenses = $11700
Depreciation(3% OF 235000) = $7050
Tax, repairs and Insurance = 15430
Annual net income = $36,000 - ($11,700+$7,050+$15,430)
= $36,000 - $34,180
Annual net income = $1,820
To find annual yield, use the formula below:
Annual yield = (annual net income/down payment) * 100
Therefore, annual yield will be:
Annual yield [tex] = \frac{1,820}{40,000} * 100 [/tex]
= 0.0455 * 100
= 4.55%
Annual yield = 4.55%
Hurrryy plzzz!!
Which linear inequality is represented by the graph?
y<1/2x+2
y>1/2x+2
y<1/3x+2
y>1/3x+2
xpress 8/(1 - 2x)2 as a power series by differentiating the equation below. What is the radius of convergence? 4 (1 - 2x) = 4(1 + 2x + 4x2 + 8x3 + ...) = 4 [infinity] Σ n=0 (2x)n SOLUTION Differentiating each side of the equation, we get 8 (1 - 2x)2 = 4(2 + Correct: Your answer is correct. + 24x2 + ...) = 4 [infinity] Σ n=1 Incorrect: Your answer is incorrect. If we wish, we can replace
Recall that for |x| < 1, we have
[tex]\dfrac1{1-x}=\displaystyle\sum_{n=0}^\infty x^n[/tex]
Replace x with 2x, multiply 4, and call this function f :
[tex]f(x)=\dfrac4{1-2x}=\displaystyle4\sum_{n=0}^\infty(2x)^n[/tex]
Take the derivative:
[tex]f'(x)=\dfrac8{(1-2x)^2}=\displaystyle8\sum_{n=0}^\infty n(2x)^{n-1}=\boxed{8\sum_{n=0}^\infty (n+1)(2x)^n}[/tex]
By the ratio test, the series converges for
[tex]\displaystyle\lim_{n\to\infty}\left|\frac{(n+2)(2x)^{n+1}}{(n+1)(2x)^n}\right|=|2x|\lim_{n\to\infty}\frac{n+2}{n+1}=|2x|<1[/tex]
or |x| < 1/2, so the radius of convergence is 1/2.
What is the measure of
Answer:
C. 35
55 degrees + 35 degrees= 90 degrees
The inside diameter of a randomly selected piston ring is a randomvariable with mean value 12 cm and standard devtiation of .04cm.
a. If Xbar is the sample mean diameter form a random sample of=16 rings, where is the sampling distrbution of Xbar centered andwhat is the standard deviation of the Xbar distribution?
b. Answer the questions above for a sample of size n=64
c.find the probability that the average diameter of pistonrings from a sample size 16 is more than 11.95cm
d. For which of the above two random saples is Xbar morelikely to be within .01cm of 12cm? Explain.
Answer:
The answer is below
Step-by-step explanation:
Given that:
mean value (μ) = 12 cm and standard deviation (σ) = 0.04 cm
a) Since a random sample (n) of 16 rings is taken, therefore the mean (μx) ans standard deviation (σx) of the sample mean Xbar is given by:
[tex]\mu_x=\mu=12\ cm\\\sigma_x=\frac{\sigma}{\sqrt{n} }=\frac{0.04}{\sqrt{16} }=0.01[/tex]
The sampling distribution of Xbar is centered about 12 cm and the standard deviation of the Xbar distribution is 0.01 cm
b) Since a random sample (n) of 64 rings is taken, therefore the mean (μx) ans standard deviation (σx) of the sample mean Xbar is given by:
[tex]\mu_x=\mu=12\ cm\\\sigma_x=\frac{\sigma}{\sqrt{n} }=\frac{0.04}{\sqrt{64} }=0.005\ cm[/tex]
The sampling distribution of Xbar is centered about 12 cm and the standard deviation of the Xbar distribution is 0.005 cm
c) n = 16 and the raw score (x) = 11.95 cm
The z score equation is given by:
[tex]z=\frac{x-\mu_x}{\sigma_x} =\frac{x-\mu}{\sigma/\sqrt{n} } \\z=\frac{11.95-12}{0.04/\sqrt{16} }\\ z=-5[/tex]
P(x > 11.95 cm) = P(z > -5) = 1 - P(z < -5) = 1 - 0.000001 ≅ 1 ≅ 100%
d) for n = 64, the standard deviation is 0.01 cm, therefore it is more likely to be within .01cm of 12cm
Using the normal distribution and the central limit theorem, it is found that:
a) The sampling distribution is approximately normal, centered at 12 cm and with a standard deviation of 0.01 cm.
b) The sampling distribution is approximately normal, centered at 12 cm and with a standard deviation of 0.005 cm.
c) 100% probability that the average diameter of piston rings from a sample size 16 is more than 11.95 cm .
d) Due to the lower standard error, the sample of 64 is more likely to be within 0.01 cm of 12 cm.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
Mean of 12 cm, thus [tex]\mu = 12[/tex]Standard deviation of 0.04 cm, thus [tex]\sigma = 0.04[/tex].Item a:
Sample of 16, thus [tex]n = 16[/tex] and [tex]s = \frac{0.04}{\sqrt{16}} = 0.01[/tex]
The sampling distribution is approximately normal, centered at 12 cm and with a standard deviation of 0.01 cm.
Item b:
Sample of 64, thus [tex]n = 64[/tex] and [tex]s = \frac{0.04}{\sqrt{64}} = 0.005[/tex]
The sampling distribution is approximately normal, centered at 12 cm and with a standard deviation of 0.005 cm.
Item c:
This probability is 1 subtracted by the p-value of Z when X = 11.95, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{11.95 - 12}{0.01}[/tex]
[tex]Z = -5[/tex]
[tex]Z = -5[/tex] has a p-value of 0.
1 - 0 = 1.
100% probability that the average diameter of piston rings from a sample size 16 is more than 11.95 cm .
Item d:
Due to the lower standard error, the sample of 64 is more likely to be within 0.01 cm of 12 cm.
A similar problem is given at https://brainly.com/question/24663213
Copy the diagram and calculate the sizes of x°, yº and zº. What is the sum of the angles of the
triangle?
Answer:
180
Step-by-step explanation:
to find angle :
x =180 - 150=30
y =180-80=100
z = 180-130=50
so, 30+50+100=180
Please answer this correctly
Answer:
100%
Step-by-step explanation:
The numbers odd or greater than 1 are 1, 2, 3, 4, 5, and 6.
6 numbers out of 6.
6/6 = 1.
P(odd or greater than 1) = 100%
Answer:
100%
Step-by-step explanation:
So the original fraction is 6/6 because is is odd and 3 and 5 also 2,4,6 are all more than 1.
Please help me solve this!
Answer:
Step-by-step explanation:
a) AB=2AM
A__________M__________B
If M is the midpoint of AB, then AM = MB
Since AM=MB MB=2AM
Therefore AB=2AM
b)AM=1/2MB
sincs M is midpoint of AB.
then AM=BM....(1)
and also AM+BM=AB
AM+AM=AB from (1)..AM=BM
2AM=AB
AM=1/2AB
Write an equation:
For every 2 apples there
are 6 bananas
Answer:
[tex]2a=6b\\a=3b[/tex]
Step-by-step explanation:
Let [tex]a[/tex] equal the amount of apples and [tex]b[/tex] equal the amount of bananas.
[tex]2a=6b\\a=3b[/tex]
Answer:
every 2 apples there
are 6 bananas
Step-by-step explanation:
2a=6b
13 lb 14oz + 30 lb 12 oz = lb. oz
Answer:
33 lbs 10 ounces
Step-by-step explanation:
13 lb 14oz
+ 30 lb 12 oz
================
32 lbs 26 oz
But we know that 16 ounces 1 1 lb
Subtract 16 ounces and add 1 lb
32 lbs 26 oz
+1 lb - 16 ounces
==================
33 lbs 10 ounces
find the common ratio of the geometric sequence: 16/3,4,3,…
Answer:
3/4
Step-by-step explanation:
r= a3/a2=3/4
or
r= a2/a1= 4÷16/3= 4×3/16= 3/4
The given equation has been solved in the table. In which step was the subtraction property of equality applied?
Answer:
Option (D)
Step-by-step explanation:
Subtraction property of equality tells that whatever subtracted from one side of the equation must be subtracted from the other side.
If x + 2 = 2,
By the property of subtraction of equality,
x + 2 - 2 = 2 - 2
x = 0
But in the given question,
[tex]\frac{x}{2}-7=-7[/tex]
[tex]\frac{x}{2}-7+7=-7+7[/tex]
shows the addition property of equality in step (2)
Therefore, subtraction property of equality was not applied.
Option (D) will be the answer.
In math list the angles in order from smallest to the largest
Answer:
A) S,T,R
Step-by-step explanation:
help asap!! will get branliest.
Answer:
C
Step-by-step explanation:
A reflection is when the original diagram or picture is fliped exactly over the x axis.
HEYA!!
Answer:
Your Answer of the Question is C
if you want to prove it you can do the same thing in real life by drawing a 'W' on a paper and see its reflection on the mirror
HOPE IT MATCHES!!
Please help me and my daughter.
Answer:
you can either factorise or use tge formula method
Step-by-step explanation:
3x2−7x−20=03x2-7x-20=0
Use the quadratic formula to find the solutions.
−b±√b2−4(ac)2a-b±b2-4(ac)2a
Substitute the values a=3a=3, b=−7b=-7, and c=−20c=-20 into the quadratic formula and solve for xx.
7±√(−7)2−4⋅(3⋅−20)2⋅37±(-7)2-4⋅(3⋅-20)2⋅3
Simplify.
Tap for more steps...
x=7±176x=7±176
The final answer is the combination of both solutions.
x=4,−53
If bis the unknown number of blankets, which equation best represents the
situation described below?
Ling gave some of her blankets to charity, decreasing her
total number of blankets by 9. After she gave the blankets
away, she had 11 left.
A. 6-9 = 11
B. 6+9 = 11
C.
= 11
D. b +11 = 9
Answer:
A. b-9=11
Step-by-step explanation:
I‘m assuming the equation should say b, not 6. She had b blankets, subtracted 9, and was left with 11. b-9=11.
A Japanese garden has a circular koi pond in the middle that has a radius of 3 feet. A rectangle with length of 16 feet and width of 14 feet. A circle with radius 3 feet is cut out of the rectangle. What is the area of the Japanese garden around the koi pond? Use 3.14 for Pi. 195.74 feet squared 224.00 feet squared 252.26 feet squared 337.04 feet squared
Answer:
first, find the area of the circle cut.
r= 3 feet
π=3.14
area of a circle= πr²= 3.14×3×3= 28.26 sq.feet
Now, find the area of the rectangle and subtract it by the area of the circle.
area of rectangle = l×b
length of the rectangle= 16 feet
breadth/width of the rectangular garden= 14 feet
area= 16×14= 224 sq. feet
now, area of the garden surrounding the koi pond= 224-28.26
=195.74 sq. feet
Answer:
A. 195.74
Step-by-step explanation:
Edge2020
Find the missing side. Round the answer to the nearest tenth. Thanks.
Answer:
74.3
Step-by-step explanation:
we can use the tangent ratio to solve for X
first, set up the equation
tan(22 deg)= 30/x
next, solve for x
multiply both sides by x
(x)(tan(22 deg))=30
then, divide both sides by tan (22 deg)
x=30/tan (22 deg)
plug this into a calculator
this gives us approximately 74.25
Which of the following is equal to 7 1/3
You add 7 to 1/3 and that gives 22/3