Answers
Answer: A
Step-by-step explanation:
Each square has a side length of 2 units
\(f1 = (4*1)^{2} = 4^{2} = 16\\f2 = (4*2)^{2} = 8^{2} = 64\\f3 = (4*3)^{2} = 12^{2} = 144\\fn = (4n)^{2}\)
Related Questions
Plzzz help. Giving everything.
Answers
24^2 + 10^2 = 26^2
576 + 100 = 676, which is true, that means angle B is a right angle. Tangents touch the side of the circle at a right angle, so BC is perpidicular to AB.
A is true
Mrs. Roger’s class sold bottles of soda for $2.50 each and Mrs. Magoo’s class sold candy bars for $1.20 each. Together, the classes sold 63 items and earned $102.90 for their school.
(a) Write and solve a system of equations that model the problem. Show all your work.
(b) Which class earned more money?
(c) How much more money did that class earn?
Answers
the Answer is B.
Step-by-step explanation:
Bruce's hourly wage increased from $12.00 to $13.00. What is the percent of increase?
Answers
Answer:
Around 10
Step-by-step explanation:
Well, 10 percent of 12 is 1.2 because 12/10 is equal to that. Bruce's salary increased by exactly 1 dollar from 12 to 13. 1.2 can be rounded down pretty easily to 1 dollar so we know the answer is around 10. I don't really know everything about percentages so I'm not gonna take a wild guess and have you get it wrong. But not a lot of people are answering on brainly lately so I'm trying to help everyone as much as I can. Sorry, I hope this at least is a little bit of a guide for you.
this is about range, please help me.
Answers
(-2, 10].
Step-by-step explanation:First of all, let's refresh the concepts of domain and range when talking about mathematical functions.
In simple terms, the domain of a function are the values that the function can work with, the allowed inputs, which happen to be the same as values of the common used variable "x", the dependent variable. We can easily tell the domain of a by looking at its horizontal extension, what values of "x" it passes by.
Now, the domain is the total opposite, those are the outputs, or the "y" values that the function returns after evualiating an "x" value. These can be seen by analyzing the vertical extension of the graph, what values of "y" the function can reach.
In the given graph, we may see that the lowest "y" value the graph outputs (vertically) is -2, and we also see that the circle in that number doesn't have a fill color, it's transparent, that means that tne function doesn't contain the value of -2. Therefore, y > -2. Now, on the upper end of the function, we can see that highest "y" value the function can reach is 10, marked with a filled circle, which means that the function contains said value, hence, y ≤ 10.
Now, writting in interval notation, remember that the square brackets "[]" are meant to be used next to a value that the function contains. Also, the parentheses "()" are meant to a value that the function doesn't contain.
Previously, we mentioned that the function doesn't contain value "-2", therefore, we may write:
(-2...
Now, to finish writting the interval, we mentiones that value 10 is contained in the function, hence, we finish writting the interval notation as follows:
(-2, 10].
Final answer: (-2, 10].
Check the attached image to better understand the interval notation.Important note.When writting in interval notaion, the symbol of infinity "∞" must always be written next to a parenthesis symbol.
Triangle XYZ is rotated 90° counterclockwise about the origin to produce X'Y'Z'. What are the coordinates of X'Y'Z'?
Answers
Answer:
59
Step-by-step explanation:
6 plus 4 equals 8 plus 9
Identify the coordinates of each vertex of triangle XYZ.
Apply the 90° counterclockwise rotation rule, which states that when rotating a point 90° counterclockwise about the origin, the new coordinates of the point will be (-y, x).
Substitute the coordinates of each vertex into the rotation rule to find the coordinates of the corresponding vertex in X'Y'Z'.
For example, let's say that the coordinates of triangle XYZ are:
X = (2, 3)
Y = (-1, 4)
Z = (0, -2)
To find the coordinates of X'Y'Z', we can apply the rotation rule to each vertex as follows:
X' = (-3, 2)
Y' = (-4, -1)
Z' = (2, 0)
Therefore, the coordinates of X'Y'Z' after rotating triangle XYZ 90° counterclockwise about the origin are:
X' = (-3, 2)
Y' = (-4, -1)
Z' = (2, 0)
Note that the order of the vertices may change after the rotation, but the coordinates of each vertex will correspond to the same vertex in the original triangle.
The table gives the average monthly precipitation, in inches, in Seattle, Washington, from January through July, where January is month 1 and July is month 7.
Month 1 2 3 4 5 6 7
Average monthly precipitation (inches) 5.2 3.9 3.3 2.0 1.6 1.4 0.6
Part A
Which scatter plot best represents the data?
Answers
The scatter plot that best represents the data is scatter plot A.
What is a scatter plot?A scatter plot is a graphical representation that shows two data variables and the ways in which they are related to each other. In the table, we see the months and the average montly precipitations.
The data for these two variables are represented on the first scatter plot that shows the relationships between the points. We also observe a negative correlation between the variables in the graph.
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Solve the absolute value inequality
|4−15|+5≤20
Group of answer choices
0≤≤2.5
−5≤≤2.5
0≤≤7.5
2.5≤≤7.5
Answers
Sam is baking cakes at her parents bakery She gets paid $20 a week in addition to four dollars for every cake she bakes She made $60 This week write an equation to show how many cakes Sam baked this week
Answers
Answer:
60=20+4x
40=4x
10=x
10 cakes plus the $20 for the week = $60
or you can just do this 20 + 4x = 60
Step-by-step explanation:
On his most recent math test, Jeremy answered 48 questions correct out of 80 total questions. Which statement can be made about Jeremy's math test?
Answers
Answer:
Jeremy has gotten more than half of the test's questions correctly.
Step-by-step explanation:
To get half of the questions correctly, Jeremy needed at least 40, and Jeremy got more than 40, meaning he got more than half.
The following equation is true for all values of x. What number completes the equation?
Show your work.
5y + 2(3y − 1) = ⬜y − (y + 2)
Answers
The number that can complete the equation 5y + 2(3y − 1) = ⬜y − (y + 2) is
5y + 2(3y − 1) = 12 y − (y + 2)
How to find the number that can complete the equationThe number that can complete the equation is computed by simplifying the equation at the left hand side of the equality sign and comparing with the right side of the equality side
The comparison will show the number that can fit in the blank
Simplifying the equation at the left hand side of the equation
= 5y + 2(3y − 1)
= 5y + 6y − 2
= 11y - 2
Simplifying the equation at the right hand side of the equation
= ⬜y − (y + 2)
let x represent the missing number
= xy − (y + 2)
= xy − y - 2
comparing both equations
11y - 2 = xy − y - 2
11y = xy − y
11y + y = xy
12y = xy
x = 12
The missing value = 12
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Andrew thought he could score 25 points on an arcade game but he only scored 17. What was Andrew's percent error?Round to the nearest answer
Answers
Given
Andrew thought he could score 25 points on an arcade game but he only scored 17.
To find:
What was Andrew's percent error?
Explanation:
It is given that,
Andrew thought he could score 25 points on an arcade game but he only scored 17.
Then, Andrew's percent error is,
\(\begin{gathered} Percent\text{ }error=\frac{|Actual\text{ }value-Expected\text{ }value|}{|Actual\text{ }value|}\times100 \\ =\frac{|17-25|}{|17|}\times100 \\ =\frac{8}{17}\times100 \\ =47\% \end{gathered}\)Hence, Andrew's percent error is 47%.
Graph each function using the techniques of shifting,compressing,, and or reflecting.Start with the graph of the basic function
Answers
we know that
The given zeros are
x=0
x=i
x=1+i
Remember that
the complex conjugate root theorem states that if P is a polynomial in one variable with real coefficients, and a + bi is a root of P with a and b real numbers, then its complex conjugate a − bi is also a root of P
so
the other zeros of the given polynomial f(x) are
x=-i
x=1-i
The polynomial in factored form is given by
\(f(x)=x(x-i)(x+i)(x-(1+i))(x-(1-i))\)Simplify
\(\begin{gathered} f(x)=x(x^2-i^2)(x^2-x(1-i)-x(1+i)+(1-i^2)) \\ f(x)=x(x^2+1)(x^2-x+xi-x-xi+1+1) \\ f(x)=x(x^2+1)(x^2-2x+2) \end{gathered}\)simplify
\(\begin{gathered} f(x)=(x^3+x)(x^2-2x+2) \\ f(x)=x^5-2x^4+2x^3+x^3-2x^2+2x \\ f(x)=x^5-2x^4+3x^3-2x^2+2x \end{gathered}\)1. Which numerical expression has the value of 60?
4. (12+ 4) 3 b. 12 - 14 - 3) c.** 12 + 3)
d. 12 - 4-3
Answers
Answer:
sorry but I can't really tell if any of them have 60 it kind of looks like none of them have 60 unless theres a bit multiplying then maybe I can help but other wise right no sorry
A certain disease has an incidence rate of 0.3%. If the false negative rate is 6% and the false positive rate is 4%, compute the probability that a person who tests positive actually has the disease.
Answers
The probability that a person who tests positive actually has the disease is 0.012%
How to determine the probability?From the question, we have the following parameters that can be used in our computation:
Incidence rate = 0.3%False negative rate = 6%False positive rate = 4%The probability that a person who tests positive actually has the disease is represented as
Probability = Incidence rate * False positive rate
Substitute the known values in the above equation, so, we have the following representation
Probability = 0.3% * 4%
Evaluate the products
Probability = 0.012%
Hence, the probability is 0.012%
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9feet to3 3/8inches ratio
Answers
Answer:
32 : 1
Step-by-step explanation:
dimensions of the parts of the ratio must be in the same units
convert 9 feet to inches
1 foot = 12 inches
then
9 feet = 9 × 12 = 108 inches
then ratio
9 feet : 3 \(\frac{3}{8}\) inches
= 108 inches : 3 \(\frac{3}{8}\) inches ( change mixed number to improper fraction )
= 108 : \(\frac{27}{8}\) ( multiply both parts by 8 to clear the fraction )
= 864 : 27 ( divide both parts by 27 )
= 32 : 1
Expand 5(2x-1) please I need it for homework.
Answers
10x-5
Answer:
5(2x-1)
5*2x 5*-1
10x-5
Hey there!
5(2x - 1)
= 5(2x) + 5(-1)
= 10x - 5
Therefore, your answer should be: 5x - 5
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Natalya designed a patio for her backyard. The two brick
sections will be the same size and concrete fills the rest of
the patio. Her design and the scale she will use to build
the patio are both shown below.
The concrete portion of the patio will cost $3 per square
foot to construct and the brick portion of the patio will
cost $6 per square foot to construct.
How much will Natalya spend constructing the patio with
concrete and brick?
Scale
1 cm = 4 ft.
A
B
6 cm
$432
$648
Brick
Concrete
6 cm
3 cm
Brick
3 cm
OPTIONS
A
$432
B
$648
C
$2,160
D
$3,024
Answers
The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.
We are given that;
The concrete portion of the patio cost=$3 per square
To construct and the brick portion of the patio cost= $6 per square
Now,
The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:
6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft
Therefore, the area of the concrete portion is:
24 ft x 12 ft = 288 ft^2
The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:
3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft
Therefore, the area of one brick rectangle is:
12 ft x 24 ft = 288 ft^2
Since there are two brick rectangles, the total area of the brick portion is:
2 x 288 ft^2 = 576 ft^2
Now we can multiply the areas by their costs per square foot to get the costs of each portion:
Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456
The total cost of constructing the patio is the sum of the costs of each portion:
Total cost = $864 + $3456 = $4320
Therefore, by area the answer will be $4320.
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Solve the system of equations using substitution.
y = -7x
2x - y = -9
Answers
Step-by-step explanation:
Since y= -7x you will want to substitute the y in the other equation.
2x -(-7x) = -9
2x + 7x = -9
9x = -9
so x will be -1
y= -7(-1)
x= -1
y= 7
Answer:
x = -1 , y =7 (-1,7)
Step-by-step explanation:
\(y=-7x\\2x-y = -9\\\)
\(2x+7x = -9\)
\(2x+7x = 9x\\\)
\(9x = -9\\\)
\(\frac{9x}{9} =\frac{-9}{9}\)
\(x = -1\\\)
\(y = -7(-1)\\y = 7\)
solve each rational equation. list excluded values
x+4/x+5=6/x^2+10+25
Answers
x+4/x+5=6/x^2+10x+25
We will begin by first finding the LCD (Least Common Denominator) which is:
(x+5)(x+5)= (x+5)^2
Multiplying both sides of the equation by the LCD, we get:
(x+4)(x+5)(x+5) = 6(x+5)^2
Expanding both sides of the equation and simplifying further, we get:
x^3 + 14x^2 + 61x + 80 =0
Now, we can use the rational root theorem to identify the possible rational roots of the polynomial equation. The possible rational roots are:
±1, ±2, ±4, ±5, ±8, ±10, ±20, ±40, ±80
Testing these rational roots, we get that x = -4 is a root of the polynomial. Using synthetic division, we can then factor the polynomial as:
(x+4)(x^2 + 10x + 20) = 0
This gives us the solutions:
x = -4, x = -5 + 3sqrt(2)i and x = -5 - 3sqrt(2)i
Therefore, the excluded values are x = -5 and x = -5 ± sqrt(2)i.
Find m/CAD.
A. 55°
B. 125°
C. 110°
D. 35°
A
B
55°
D
C
Answers
A random sample of 40 adults with no children under the age of 18 years results in a mean daily leisure time of 5.65 hours, with a standard deviation of 2.43 hours. A random sample of 40 adults with children under the age of 18 results in a mean daily leisure time of 4.37 hours, with a standard deviation of 1.73 hours. Construct and interpret a 90% confidence interval for the mean difference in leisure time between adults with no children and adults with children. (u1 - u2)
Let u1 represent the mean leisure hours of adults with no children under the age of 18 and u2 represent the mean leisure hours of adults with children under the age of 18. The 90% confidence interval for (u1 - u2) is the range from (???, ???) round to 2 decimals
Answers
Answer:
The 90% confidence interval for (u1 - u2) is the range from; ( 0.50 - 2.06 )
Step-by-step explanation:
Given the data in the question;
Adult with No children under 18 Adult with children under 18
x"₁ = 5.65 x"₂ = 4.37
s₁ = 2.43 s₂ = 1.73
n₁ = 40 n₂ = 40
with 90% confidence
significance level ∝ = 1 - 90% = 1 - 0.9 = 0.1
Degree of freedom df = 39
Now, since variance are not equal and are also unknown, we will use 2 sample t-distribution method;
Standard Error: σx"₁ - x"₂ = \(\sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} }\)
Critical value = \(t_{\alpha /2, df\) = \(t_{0.05, df=39\) = 1.645 { from standard normal table }
Now,
Margin of Error = E = \(t_{\alpha /2, df\) × \(\sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} }\)
we substitute
E = 1.645 × \(\sqrt{\frac{2.43^2}{40} + \frac{1.73^2}{40} }\)
E = 1.645 × √( 0.1476225 + 0.0748225 )
E = 0.7758478
Now, our point difference will be; x"₁ - x"₂ = 5.65 - 4.37 = 1.28
So Limit at 90% confidence interval will be;
x"₁ - x"₂ ± E
Lower Limit = x"₁ - x"₂ - E = 1.28 - 0.7758478 = 0.50415 ≈ 0.50
Upper Limit = x"₁ - x"₂ + E = 1.28 + 0.7758478 = 2.05584 ≈ 2.06
Therefore, The 90% confidence interval for (u1 - u2) is the range from; ( 0.50 - 2.06 )
In 2018, the population of Sydney was 5.48 million.
This was 22% of the total population of Australia.
Work out the total population of Australia in 2018
Give your answer correct to 3 significant figures.
Answers
The population of Australia in 2018 was 24.909 million.
Given: The population of Sydney in 2018 = 5.48 million
This population of Sydney is equal to 22 % of the total population of Australia.
To find: Total population of Australia
Solution:
According to the Question,
Total population of Australia * 22% = total population of Sydney
Total population of Australia * 22/100 = 5.48 million
= 5.48 million * 100/22
= 24.909 million (approx.)
Hence, the population of Australia in 2018 was 24.909 million.
The total population of Australia in 2018 was 24.90 million.
What is percentage?A percent is a dimensionless number, meaning that it has no units of measurement, since it represents a part of whatever whole is being measured.
Given that, the population of Sydney was 5.48 million, which was 22% of the total population of Australia.
We need to find the total population of Australia.
Let the total population of Australia be y.
Therefore,
y × 22% = 5.48
y = 5.48 × 100/22
y = 24.90
Hence, the total population of Australia in 2018 was 24.90 million.
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what is the translated algebraic expression for 7 less than x
Answers
Answer:
x-7
Step-by-step explanation:
Review the Monthly Principal & Interest Factor chart to answer the question:
FICO Score APR 30-Year Term 20-Year Term 15-Year Term
770–789 5.5 $5.68 $6.88 $8.17
750–769 6.0 $6.00 $7.16 $8.44
730–749 6.5 $6.32 $7.46 $8.71
710–729 7.0 $6.65 $7.75 $8.99
690–709 7.5 $6.99 $8.06 $9.27
Determine the percent decrease in total principal and interest paid between a 30-year term mortgage and a 15-year mortgage with a principal balance of $484,500.00 and a 6.5% APR. Round the final answer to the nearest tenth.
31.0%
31.1%
59.0%
68.5%
Answers
The percent decrease in total principal and interest paid between a 30-year term mortgage and a 15-year mortgage with a principal balance of $484,500.00 and a 6.5% APR is 31.0%. (Option A)
How is this so ?
To calculate the percent decrease, we can use the following formula.
Percent decrease = ( (30-year factor - 15-year factor) / 30-year factor) x 100
Substituting the values from the chart.
= (($ 6.65 - $8.71) / $6.65) x 100
= ( -$ 2.06 / $6.65) * 100
= -0.309 * 100
Percent decrease ≈ - 30.9 %
Since the question asks for the percent decrease as a positive value, we take the absolute value of the result which is
Percent decrease ≈ 31%
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Scores in the first and final round for a sample of 8 golfers who completed golf tournament as shown below. Golfer First Round Final Round 1 73 78 2 68 75 3 70 66 4 67 71 5 71 73 6 70 68 7 68 65 8 73 72 a. State any appropriate hypothesis that can be tested for the above data. Use 2% level of significance to test the stated hypothesis. Use p-value approach
Answers
Answer:
golfing is fun but not to fun
Step-by-step explanation:
Please help! Will make brainliest !!
Answers
Answer:
5: 40.6
6: 26.57
7: 22.21
8: 66.35
Step-by-step explanation:
I am going to assume that you know
SOH CAH TOA (if you don't just ask)
For 5: we have the adjacent and opposite side, we need the angle
I think here it's easiest to use TOA
so we have
tanx=60/70
take the arctan or tan^-1 and get
arctan(60/70)=x x= 40.6
For number 6 it's just the same deal
tanx=10/20
arctan(10/20) =x =26.57
For number 7 we have the adjacent side and we need to find the oppsoite side
for this I will once again use TOA
tan(48)=x/20
20tan(48)=x=22.21
For number 8 it's the same deal as 7
tan53=x/50
50tan53=x=66.35
Find the domain of the function.
f (x) =2/5x+4
Answers
Answer:
(-∞,∞)
Step-by-step explanation:
Answer:
The domain of the function is (-∞, ∞)
hope this helps!
21-7x=7(3-x)
Solve this please!!!!!!!!!!
Answers
Answer:
All real numbers
Step-by-step explanation:
21 - 7x = 7(3 - x)
21 - 7x = 21 - 7x
Since both sides of the equation are equal, the answer is all real numbers.
\(21 - 7x = 7(3 - x)\\21 - 7x = 21 - 7x\\-7x + 7x = 21 - 21\\x \in \mathbb{R}\)
please look at the photo below and answer the question(s)
Answers
Answer:
Mean - 79
Median- 81
Range- 11
Step-by-step explanation:
Mean aka average = add all the numbers together and divide it by the number of numbers there were to find the mean of something.
in this case : 81 + 82 + 84+ 75+73+75 + 83 = 553 divided by 7 = 79
Median - Rearrange the set of numbers from least to greatest or greatest to least and find the middle number to find the median
In this case : 73, 75, 75, 81, 82, 83, 84 = The median is 81
Range - Substract the highest and the lowest number from the set of numbers to find the range.
In this case : 84 - 73 = 11
3 1/3+(-2 1/4)+1 5/6=
Answers
Answer:
Step-by-step explanation:
3 1/3+(-2 1/4)+1 5/6
assuming those are mixed numbers
convert to 10/3+(-9/4)+11/6 = 10/3-9/4+11/6
find common LCM denominator so 12
40/12+(-27/12)+22/12 =35/12