Answer:
[tex]x^2-2x+1[/tex]
Step-by-step explanation:
=> (x-1)(x-1)
Using FOIL
=> [tex]x^2-x-x+1[/tex]
=> [tex]x^2-2x+1[/tex]
Answer:
[tex]\boxed{x^2-2x+1}[/tex]
Step-by-step explanation:
[tex](x-1)(x-1)[/tex]
Apply FOIL Method.
[tex]x(x-1)-1(x-1)[/tex]
[tex]x^2-x-x+1[/tex]
Combine like terms.
[tex]x^2-2x+1[/tex]
Question 8 (5 points)
Find the zero of 5x - 20 = 0.
O a) 4
Ob) -20
3
Oc) 0
O d) 5
Answer:
x=4
Step-by-step explanation:
5x - 20 = 0
Add 20 to each side
5x = 20
Divide by 5
5x/5 = 20/5
x =4
The zero is when x = 4
Answer:
a) 4
Step-by-step explanation:
To find the zero of 5x - 20 = 0, find the value of x.
5x - 20 = 0
Add 20 to both sides.
5x - 20 + 20 = 0 + 20
5x = 20
Divide both sides by 5.
(5x)/5 = 20/5
x = 4
The zero of 5x - 20 = 0 is 4.
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
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
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
A poll stated that 32% of those polled think the economy is getting worse. An economist wanted to check this claim so she surveyed 750 people and found that 30% of them thought the economy is getting worse. What is the p-value? (α=0.05)
Answer:
[tex]z=\frac{0.30 -0.32}{\sqrt{\frac{0.32(1-0.32)}{750}}}=-1.174[/tex]
The p value for this case would be given by:
[tex]p_v =2*P(z<-1.174)=0.240[/tex]
For this case since the p value is higher than the significance level given we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly different from 0.32 or 32 %
Step-by-step explanation:
Information given
n=750 represent the random sample taken
[tex]\hat p=0.30[/tex] estimated proportion of people who thought the economy is getting worse
[tex]p_o=0.32[/tex] is the value that we want to verify
[tex]\alpha=0.05[/tex] represent the significance level
z would represent the statistic
[tex]p_v[/tex] represent the p value
Hypothesis to test
We want to check if the true proportion of interest is equal to 0.32 or not.:
Null hypothesis:[tex]p=0.32[/tex]
Alternative hypothesis:[tex]p \neq 0.32[/tex]
The statistic would be given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Replacing we got:
[tex]z=\frac{0.30 -0.32}{\sqrt{\frac{0.32(1-0.32)}{750}}}=-1.174[/tex]
The p value for this case would be given by:
[tex]p_v =2*P(z<-1.174)=0.240[/tex]
For this case since the p value is higher than the significance level given we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly different from 0.32 or 32 %
Which of the following is equal to 7 1/3
You add 7 to 1/3 and that gives 22/3
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.
Which of the following are accurate descriptions of the distribution below? Choose all answers that apply: Choose all answers that apply: (Choice A) A The distribution has a peak from 101010 to 151515 \text{km}kmstart text, k, m, end text. (Choice B) B The distribution has a gap from 252525 to 303030 \text{km}kmstart text, k, m, end text. (Choice C) C None of the above
Answer:
C
Step-by-step explanation:
Answer:
CORRECT (SELECTED)
The distribution has an outlier.
Step-by-step explanation:
An outlier is a data point far away from the rest of the data. There is a lone data point in the 000 to 111 score category.
(Choice C, Incorrect)
Herschel uses an app on his smartphone to keep track of his daily calories from meals. One day his calories from breakfast were more than his calories from lunch, and his calories from dinner were less than twice his calories from lunch. If his total caloric intake from meals was , determine his calories for each meal.
Answer:
let the number of calories from lunch be called L. As such, breakfast is then L + 128, and dinner is 2L - 400. We can then sum the three meals and equate it to the total caloric intake, the known value of 1932.
So: 1932 = L + L + 128 + 2L - 400 = 4L - 272.
Lunch = 551
Breakfast = 551 + 128 = 679
Dinner = 2*551 - 400 = 702
Find the lateral area of the prism. Use the 10 by 6 rectangle as the base.
5 ft
6 ft
9 ft
Answer:
lateral area =150 square feet
Step-by-step explanation:
lateral area =(perimieter of prism base) times the height of the prism
so, the perimeter of the base is 9 ft*2 + 6 ft*2 which equals 30 ft
then you multiply the perimeter of the base by the height of the prism
so, height of prism =5 ft, so 5 ft times 30 ft =150 feet
therefor, the lateral area of the prism = 150 feet squared
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
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.
In a certain section of Southern California, the distribution of monthly rent for a one-bedroom apartment has a mean of $2,075 and a standard deviation of $300. The distribution of the monthly rent does not follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample of 55 one-bedroom apartments and finding the mean to be at least $1,985 per month
Answer:
Probability is 1
Step-by-step explanation:
We are given;
mean;μ = $2,075
Standard deviation;σ = $300
n = 55
x' = $1,985
Now, we want to find x' to be at least $1,985 which is P(x' > $1,985).
The z-value is calculated from;
z = (x' - μ)/(√σ/n)
Plugging in the relevant values;
z = (1985 - 2075)/(√300/55)
z = -38.536
So, P(x' > $1,985) = P(z > -38.536)
This transforms to;
P(z < 38.536)
Probability from z distribution table is 1
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
In math list the angles in order from smallest to the largest
Answer:
A) S,T,R
Step-by-step explanation:
What is the rule for the reflection?
A reflection of a point over the y -axis is shown. The rule for a reflection over the y -axis is (x,y)→(−x,y) .
:D
Hello, can someone help me with this problem?
Answer:
Area of Rectangle A
[tex]Area = 4x^2[/tex]
Area of Rectangle B
[tex]Area = 2x^2[/tex]
Fraction
[tex]Fraction =\frac{2}{3}[/tex]
Step-by-step explanation:
From the attached, we understand that:
The dimension of rectangle A is 2x by 2x
The dimension of rectangle B is x by 2x
Area of rectangle is calculated as thus;
[tex]Area = Length * Breadth[/tex]
Area of Rectangle A
[tex]Area = 2x * 2x[/tex]
[tex]Area = 4x^2[/tex]
Area of Rectangle B
[tex]Area = x * 2x[/tex]
[tex]Area = 2x^2[/tex]
Area of Big Rectangle
The largest rectangle is formed by merging the two rectangles together;
The dimension are 3x by 2x
The Area is as follows
[tex]Area = 2x * 3x[/tex]
[tex]Area = 6x^2[/tex]
The fraction of rectangle A in relation to the largest rectangle is calculated by dividing area of rectangle A by area of the largest rectangle;
[tex]Fraction = \frac{Rectangle\ A}{Biggest}[/tex]
[tex]Fraction =\frac{4x^2}{6x^2}[/tex]
Simplify
[tex]Fraction =\frac{2x^2 * 2}{2x^2 * 3}[/tex]
[tex]Fraction =\frac{2}{3}[/tex]
What is the measure of
Answer:
C. 35
55 degrees + 35 degrees= 90 degrees
what is the y-value when x equals 30? y=350-25(x)
Answer:
-400
Step-by-step explanation:
y=350-25(x)
y=350-25x30
y=350-750
y=-400
Answer:
-400
Step-by-step explanation:
y=350-25x
x=30....
y=350-25×30
y=350-750
y=-400
Safety regulations require that the time between airplane takeoffs (on the same runway) will be at least 3 minutes. When taking off, the run time of an airplane on the runway is 33 seconds. Planes are on average waiting 6 minutes and 48 seconds for take-off. On average there are 16 planes taking off per hour. How many planes are either on the runway or waiting to take off? (Round your answer to 2 decimal places.)
Answer:
1.96 planes
Step-by-step explanation:
The computation of the number of planes is shown below:
As we know that
System Inventory is
= Flow rate in the system × Throughput time
where,
Flow rate is
= Frequency of taken off
= 16 planes ÷ hour
= 16 ÷ 60 Planes per minute
Throughput time is
= runway waiting time + runway Run time
= 33 seconds + 6 minutes × 60 seconds + 48 seconds
= 441 seconds
= 441 per 60 seconds
Therefore the number of planes is
[tex]= \frac{441}{60} \times \frac{16}{60}[/tex]
= 1.96 planes
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
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]
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 :)
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
What is the measure of the third side of a triangle below where P is the measure of the perimeter? 2x-3y x+2y p=5x+2y
Answer:
[tex]2x + 3y[/tex]
Step-by-step explanation:
Given
Shape: Triangle
[tex]P = 5x + 2y[/tex]
Sides: [tex]2x - 3y[/tex] and [tex]x + 2y[/tex]
Required
The measure of the third side
The perimeter of a triangle is the sum of all three sides;
Let the third side be represented by Side3
Hence;
[tex]Side3 + 2x - 3y + x + 2y = 5x + 2y[/tex]
Collect like terms
[tex]Side3 + 2x + x - 3y + 2y = 5x + 2y[/tex]
[tex]Side3 + 3x - y = 5x + 2y[/tex]
Collect like terms
[tex]Side3 = 5x + 2y - 3x + y[/tex]
[tex]Side3 = 5x - 3x + 2y + y[/tex]
[tex]Side3 = 2x + 3y[/tex]
Hence, the measure of the third side is 2x + 3y
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%
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.
f(x)=(x−3)^2+5 in Standard form
Answer:
Step-by-step explanation:
hello
[tex]f(x)=(x-3)^2+5=x^2-6x+9+5=x^2-6x+14[/tex]
hope this helps
Write the equation in exponential form. Assume that all constants are positive and not equal to 1.
1) log2 16=4
2) log16 2=1/4
Write the equation in logarithmic form. Assume that all variables are positive and not equal to 1.
2^z=y
Answer:
1. [tex]16 = 4^2[/tex]
2. [tex]2 = {16}^{\frac{1}{4}}[/tex]
3. [tex]log_2 y=z[/tex]
Step-by-step explanation:
[tex]1.\ log_2 16=4[/tex]
Write in exponential form
Using the law of logarithm which says if
[tex]log_b A=x[/tex]
then
[tex]A = b^x[/tex]
By comparison;
A = 16; b = 2 and x = 4
The expression [tex]log_2 16=4[/tex] becomes
[tex]16 = 4^2[/tex]
[tex]2.\ log_{16} 2=\frac{1}{4}[/tex]
Write in exponential form
Applying the same law as used in (1) above;
A = 2; b = 16 and [tex]x = \frac{1}{4}[/tex]
The expression [tex]log_{16} 2=\frac{1}{4}[/tex] becomes
[tex]2 = {16}^{\frac{1}{4}}[/tex]
[tex]3.\ 2^z=y[/tex]
Write in logarithm form
Using the law of logarithm which says if
[tex]b^x =A[/tex]
then
[tex]log_b A=x[/tex]
By comparison;
b = 2; x = z and A = y
The expression [tex]2^z=y[/tex] becomes
[tex]log_2 y=z[/tex]
The given equations written in exponential or logarithmic form as the case is is;
1) 2⁴ = 16
2)16^(¼) = 2
3) Log_2_y = z
Usually in logarithmic exponential functions expressions;
When we have;
Log_n_Y = 2
It means that; n² = Y
Applying that same principle to our question means that;
1) log_2_16 = 4
This will now be;
2⁴ = 16
2) log_16_2 = ¼
This will now be;
16^(¼) = 2
3) For 2^(z) = y
We have;
Log_2_y = z
Read more about properties of logarithmic exponents at; https://brainly.com/question/10005276
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