Answer:
D. $2,160
Step-by-step explanation:
$1800 per month * 12 months = $21,600
10% of $21,600 = 0.1 * $21,600 = $2,160
Answer:
$2,160
Step-by-step explanation:
There are 12 months in a year
1800 *12 = 21600
He pays 21600 per year in rent
He pays the agency 10%
21600 * 10%
21600*.10
2160
He pays the agency 2160
An artist is creating a large painting from a photograph by dividing the photograph into squares and dilating each square by a factor of 4. If the photograph is 4 in. by 6in., what is the perimeter of the painting? HELP ASAP!!
80 in.
384 in.
28 in.
Answer:
80 in.
Step-by-step explanation:
The dimensions of the dilated picture are ...
4·4 in = 16 in . . . by . . . 4·6 in = 24 in
Then the perimeter of the painting is the sum of the lengths of its sides ...
16 in + 24 in + 16 in + 24 in = 80 in
Answer:
80in
Step-by-step explanation:
The scale factor of the dilation is 4, so a 1 inch by 1 inch square on the photograph represents a 4 inch by 4
inch square on the painting.
The height of the image is the product of the height of the preimage and the scale factor.
w=4(6)=24
in
.
The width of the image is the product of the width of the preimage and the scale factor.
h=4(4)=16
in
.
So, the perimeter is
P=2(16)+2(24)=80
in
.
The figure shows two rectangles. The larger rectangle is 16 inches long and 24 inches wide. The smaller rectangle is 4 inches long and 6 inches wide. The sides of the larger rectangle are parallel to the corresponding sides of the smaller one, respectively.
Therefore, the perimeter of the painting is 80
inches.
which is the equation for C E
Answer:
im not sure
Step-by-step explanation:
This is for Algebra 2 and I need help ASAP! 22pts if you show work and explanation
Describe and correct the error in solving the equation.
Answer:
Part 41) The solutions are 3 and 1
Part 42) The solution is 2 only
Step-by-step explanation:
Part 41) we have
[tex]\left|5x-9\right|=x+3[/tex]
step 1
Find the first solution (case positive)
[tex]+(5x-9)=x+3[/tex]
[tex]5x-x=3+9[/tex]
[tex]4x=12[/tex]
[tex]x=3[/tex]
step 2
Find the second solution (case negative)
[tex]-(5x-9)=x+3[/tex]
[tex]-5x+9=x+3[/tex]
[tex]5x+x=9-3[/tex]
[tex]6x=6[/tex]
[tex]x=1[/tex]
therefore
The negative case was resolved incorrectly
The solutions are 3 and 1
Part 42) we have
[tex]\left|n-7\right|=3n-1[/tex]
step 1
Find the first solution (case positive)
[tex]+(n-7)=3n-1[/tex]
[tex]3n-n=-7+1[/tex]
[tex]2n=-6[/tex]
[tex]n=-3[/tex]
Verify
For n=-3
substitute
[tex]\left|-3-7\right|=3(-3)-1[/tex]
[tex]\left|-10\right|=-9-1[/tex]
[tex]10=-10[/tex] ------> is not true
therefore
[tex]n=-3[/tex] -------> is not a solution
step 2
Find the second solution (case negative)
[tex]-(n-7)=3n-1[/tex]
[tex]-n+7=3n-1[/tex]
[tex]3n+n=7+1[/tex]
[tex]4n=8[/tex]
[tex]n=2[/tex]
therefore
The solution is 2
Jake recorded a special album in honor of Mother's Day his mom was so excited she purchased 40% of the copies in the store she has 80 copies of the CD how many CDs did the store hide for sale
Answer:
200 CDs
Step-by-step explanation:
80 is 40% of 200
40% - 80
100% - x
[tex]x=\dfrac{100\%\cdot80}{40\%}=200[/tex]
200 CDs
What is the domain of the following function?
Answer:
All real numbers
Step-by-step explanation:
The domain of this is all real numbers. The x values will never keep going down (to negative infinity) and will also never stop growing (to positive infinity).
The domain of a function consists of all possible input values. For a student's major (X), it includes all university majors, for the number of classes taken (Y), it's non-negative integers up to a maximum number, and for the amount spent on books (Z), it's any non-negative real number. X, Y, and Z are random variables as they are determined after an experiment like a survey.
Explanation:The domain of a function refers to the set of all possible input values that the function can accept. For the cases given:
The domain of X, when X stands for a student's major, is a set comprising all the majors offered by the university, including the option to be undeclared.The domain of Y, representing the number of classes taken in a previous semester, consists of non-negative integers that go from zero to the maximum number of classes a student can enroll in at the university.The domain of Z, indicating the amount of money spent on books in a previous semester, could include any non-negative real number, meaning any amount greater than or equal to zero.X, Y, and Z are considered random variables because their values are determined by the outcome of some experiment or random process, like a survey or an academic semester, and are only known once that process is complete. If Z were to equal -7, that would not be a possible value because you cannot spend a negative amount on books; hence, Z must always be non-negative.
Two essential characteristics of a discrete probability distribution include a finite or countably infinite set of values, and the sum of probabilities of all possible values must equal 1.
Considering a geometric experiment, such as drawing cards from a 52-card deck until a specific card is drawn:
If drawing without replacement until any red card is drawn, then the domain is the set of positive integers (1, 2, 3, ...) up to the total number of cards drawn.If drawing with replacement until the Queen of Hearts is drawn, the domain is theoretically all positive integers because there is always a chance, however small, of not drawing the Queen of Hearts after any number of draws.
Will's meal of grilled chicken strips and carrots contained a total of 333 calories. The bag of grilled chicken strips contained x servings of 110 calories each. The bag of carrots contained y servings of 29 calories each. Which equation written in standard form represents the number of servings of chicken strips and carrots that Will may have eaten?
Answer:
[tex]110x+29y=333[/tex]
Step-by-step explanation:
Will's meal of grilled chicken strips and carrots contained a total of 333 calories.
The bag of grilled chicken strips contained x servings of 110 calories each, making total 110x.
The bag of carrots contained y servings of 29 calories each making total 29y.
So, the equation that represents the number of servings of chicken strips and carrots that Will may have eaten
[tex]110x+29y=333[/tex]
Which of these is not a typical application of investors money
Product improvement
Expansion
Employee salaries
Vacations
Vacations are not a typical application of investors' money as they do not contribute to future profitability or growth of a business, unlike product improvement, expansion, or employee salaries.
Explanation:The question asks about a typical application of investors' money which is not common. Of the options provided, vacations would not be a typical application of investor funds. Investors typically allocate capital to a business with the expectation of earning future profits.
Common expenses that may constitute investment in a firm include product improvement, expansion, and even employee salaries, as these are directly related to the operations and growth potential of the business.
Capital invested in the business is expected to generate future income and growth, through means such as buying long-term assets like machinery, building new plants, or initiating research and development projects. It's unlikely that investors would find vacations a viable investment category as it generally does not contribute to the future profitability or growth of a business enterprise.
Percy is watching people order frozen yogurt at a yogurt shop. He counts 25 out of 100 people who order raspberry. This means that his experimental probability of someone ordering raspberry yogurt is 14, or 25%. Statistics for the distribution of frozen yogurt sales at the yogurt shop are shown. Which statement is true?
Answer:
The smaller the sample of people Percy observes, the easier it is to not match the percentage given in the table.
Answer:The smaller the sample of people Percy observes, the easier it is to not match the percentage given in the table.
Step-by-step explanation:
The smaller the sample of people Percy observes, the easier it is to not match the percentage given in the table.
What is the solution to the equation below? (Round your answer to two
decimal places.)
3.6* = 15.57
Answer:
is this multiplication?
if so, 4.33
Step-by-step explanation:
just use division:
15.57/3.6=4.325 or rounded to two decimal places 4.33
look ate the picture down below, and please help me i would really appreciate it
Answer:
46°
Step-by-step explanation:
When secants intersect each other and a circle, the external angle (A) is half the difference of the intercepted arcs:
∠A = (arcDC -arcBC)/2
12° = (arcDC -22°)/2 . . . . . . . fill in the given numbers
24° = arcDC -22° . . . . . . . . . multiply by 2
46° = arcDC . . . . . . . . . . . . . add 22°
simplify. -3x = 50
a. -150
b. 150
c. 16 2/3
d. -16 2/3
Answer:
[tex]\large\boxed{d.\ -16\dfrac{2}{3}}[/tex]
Step-by-step explanation:
[tex]-3x=50\qquad\text{divide both sides by (-3)}\\\\\dfrac{-3x}{-3}=\dfrac{50}{-3}\\\\x=-16\dfrac{2}{3}[/tex]
Find the solution of this system of equations -2x=2+y , -6x-y=-2
Answer:
x = 1 and y = -4
Step-by-step explanation:
It is given that,
-2x = 2 + y
-2x - y = 2 ---(1)
-6x - y = -2 ----(2)
To find the solution of equations
Step 1: Subtract eq(2) from eq(1)
-2x - y = 2 ---(1)
-6x - y = -2 ----(2)
4x + 0 = 4
x = 4/4 = 1
Step 2: Substitute the value of x in eq (1)
-2x - y = 2 ---(1)
-2*1 - y = 2
-2 - y = 2
y = -2 - 2 = -4
Therefore x = 1 and y = -4
Which rule describes the composition of transformations that maps ?DEF to ?D''E''F''? R0,90° ? T5,0(x, y) T–5,0 ? R0,90°(x, y) T5,0 ? R0,90°(x, y) R0,90°(x, y) ? T–5,0
Answer:
B. T–5,0 ∘ R0,90°(x, y)
Step-by-step explanation:
Just took Quiz.
Transformation involves changing the size and position of a shape.
The transformation rule from DEF to D"E"F is [tex]\mathbf{(b)\ T-5,0 \circ R0,90^o(x, y)}}[/tex]
From the complete question (see attachment), we have the following observations.
DEF is first rotated 90 degrees counterclockwiseThen translated to the left by 5 unitsThe 90 degrees counterclockwise rotation is represented as:
[tex]\mathbf{R0,90^o(x, y)}[/tex]
The left translation by 5 units is represented as:
[tex]\mathbf{T-5,0(x, y)}[/tex]
When both transformations are combined, we have:
[tex]\mathbf{T-5,0 \circ R0,90^o(x, y)}}[/tex]
Hence, the transformation rule from DEF to D"E"F is [tex]\mathbf{(b)\ T-5,0 \circ R0,90^o(x, y)}}[/tex]
Read more about transformations at:
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Need help ASAP I tried to do the problem but I don't know how
Answer:
see below
Step-by-step explanation:
(a) the graph is symmetrical about the horizontal axis. It has a maximum value of r = 3 at θ = π.
__
(b) The graph is symmetrical about both the horizontal and the vertical axis. It has a maximum value of r = 1 at θ = 0 and θ = π. (Note this curve has subtle differences from the inner loop of the above curve.)
_____
About how
As with any graphing problem, when doing it by hand, one chooses enough points to give the general shape of the curve. In some cases, quite a few points may be required. It is often helpful to use a spreadsheet for calculating the point values. Here, we've graphed the equations using "technology"--a graphing calculator.
Two farmers pay a total rent of $140 for a pasture. The first farmer placed $4 oxen in the pasture, and the second farmer placed $30 sheep in the pasture. The farmers split the rent based on the proportion of the pasture eaten by their own animals that month. How much should the first farmer pay, if 1 ox eats as much as 10 sheep in a month?
given that 1 ox eats as much as 10 sheep:
4 oxen = 40 sheep
therefore,
first farmer: the equivalent of 40 sheep
second farmer: 30 sheep
that means 30+40 = 70 animals eating
$140 ÷ 70 = $2
so it is $2 per eat
2 x 40 = $80 for the first farmer's oxen
2 x 30 = $60 for the second farmer's sheep
Answer:
$80
Step-by-step explanation:
Since if 1 ox is equal to 10 sheep, then the first farmer posesses the equivalent of 40 sheep. With 70 sheep in total, then one sheep is worth 2 dollars. The first farmer has a total of 4 oxen, equivalent to 40 sheep. 40 times 2 is 80, so the answer is 80 dollars
Verify each trigonometric equation by substituting identities to match the right hand side of the equation to the left hand side of the equation
4. sine of x divided by one minus cosine of x + sine of x divided by one minus cosine of x = 2 csc x
(sin x)/(1-cosx) + sinx/(1-cosx) =
2 csc x
We have like denominators.
Just add the numerators.
(2 sin x)/(1 - cos x) = 2 csc x
[1/(1 - cos x)](2 sin x) = 2 csc x
Take it from here.
Answer:
a ) sin x ( \frac{sinx}{cosx}*cosx- \frac{cosx}{sinx}+*cos x)= \\ sinx(sinx- \frac{cos^{2} x}{sin^{2} x})= sin^{2}x-cos^{2} x=1-cos^{2}x-cos^{2} x= \\ 1-2cos^{2}x
b ) 1 + \frac{1}{cos^{2} x} *sin^{2} x=1+ \frac{sin^{2} x}{cos^{2} x} = \\ \frac{cos {2} x+sin x^{2} x}{cos^{2} x} = \frac{1}{cos^{2} x} =sec^{2} x
c) \frac{sinx}{1-cosx} + \frac{sinx}{1+cosx}= \frac{sin x ( 1+cosx)+sinx(1-cosx)}{1-cos^{2} x} = \\ \frac{sinx+sinxcosx+sinx-sinxcosxx}{1-cos^{2}x }= \\ \frac{2sinx}{sin^{2} x} = \frac{2}{sinx}=2 csc x
d) -tan ^{2}x+sec ^{2}x=- \frac{sin ^{2} x}{cos ^{2} x} + \frac{1}{cos^{2} x} = \\ \frac{1-sin^{2x} }{cos ^{2}x }= \frac{cos^{2} x}{cos^{2}x } =1
Step-by-step explanation:
Select the correct answer
Diane wants to maintain a record of percent change in sales from the year 2000 to the present year. She enters the values of percent change in sales
and the total percentage change in sales through the years in a spreadsheet. Which tab on the Format Cells dialog box will enable her to display the
total percentage symbol in the spreadsheet?
A
Alignment
B. Numbers
c.
Background
D.
Font
Reset
Next
The number tab allows percentage symbol in the spreadsheet which corresponds to option B.
To display the total percentage symbol in the spreadsheet, Diane should select the Numbers tab in the Format Cells dialog box. This tab allows her to customize the display of numbers and apply percentage formatting.
Kira looked through online census information to determine the average number of people living in the homes in her city. What is true about Kira's data collection? Kira used an observational study where the data is qualitative. Kira used an observational study where the data is quantitative. Kira used published data that is qualitative. Kira used published data that is quantitative.
Answer:
Kira used published data that is quantitative
Step-by-step explanation:
Online census data is published data. It is numerical by nature, hence quantitative.
Answer:
Kira used published data that is quantitative.
Step-by-step explanation:
Firstly, we need to identify if the data is qualitative or quantitative.
The data is average number of people living in the homes.
Qualitative data as its name indicates is an attribute or characteristic. It can not be measured e.g color. Quantitative data is such a data which can be counted or measured.
Since the average number of people can be counted and measured, the data is Quantitative.
In an observational study the individuals are observed. In the given case, Kira did not observed the individuals to gather the data, rather she used an Online resource to gather the data.
Therefore, the correct answer will be:
Kira used published data that is quantitative.
The sum of two consecutive numbers is 31. Let x = the smaller number. Which let statement would you use for the larger number?
Answer:
Let (x+1) = the larger number
Step-by-step explanation:
Two consecutive numbers differ by 1. The larger is 1 more than the smaller. The expression for 1 more than x is (x+1).
Given the equation y − 4 = three fourths(x + 8) in point-slope form, identify the equation of the same line in standard form.
−three fourthsx + y = 10
3x − 4y = −40
y = three fourthsx + 12
y = three fourthsx + 10
Answer:
[tex]3x-4y=-40[/tex]
Step-by-step explanation:
The standard form of a linear equation is [tex]ax+by=c[/tex].
The given line has equation:
[tex]y-4=\frac{3}{4}(x+8)[/tex]
This is the point-slope form of the given line.
To find the standard form, we clear the fraction
[tex]4y-16=3(x+8)[/tex]
We expand the parenthesis now to get:
[tex]4y-16=3x+24[/tex]
We group the variables on the LHS and the constants on the RHS.
[tex]4y-3x=24+16[/tex]
[tex]-3x+4y=40[/tex]
Multiply through by -1
[tex]3x-4y=-40[/tex]
This is of the form: [tex]ax+by=c[/tex].
A 28-foot ladder is leaning against a house. The bottom of the ladder is 6 feet from the base of the house. How high is the top of ladder against the house.
Answer:
It is 27.35 ft up the house
Step-by-step explanation:
The hypotenuse of the right triangle is 28 and the base is 6
We can use the pythagorean theorem to find how high it is
a^2 + b^2 = c^2
6^2 + b^2 = 28^2
36 + b^2 = 784
Subtract 36 from each side
36-36 + b^2 = 784-36
b^2 = 748
Take the square root of each side
b =sqrt(748)
b =27.34958866
It is 27.35 ft up the house
Suppose the expression a(b)n models the approximate number of customers who applied for a credit card every month since a bank opened,where a is the inital number of customers who applied,b is the rate of increase in the number of people who applied every month and n is the number if months since the bank opened. If the expression below models the number of applicants for a credit card,what is the correct interpretation of the second factor?
Answer:
i need it too
Step-by-step explanation:
Please help me with this math question
Answer:
Required probability = 1/6
Step-by-step explanation:
It is given that,
A red die is tossed the a green die is tossed
The possible outcomes of getting number greater than three when tossing red die are, 4, 5, and 6
The probability of tossing red die = 3/6
The possible outcomes of getting number less than three when tossing green die are 1 and 2
Probability of tossing green = 2/6
To find the required probability
Probability of getting red die shows greater than three and gree die shows less than three = (3/6)*(2/6) = 1/6
What is obtained by squaring the standard deviation?
Variance
Step-by-step explanation:The standard deviation is related to the variance. The standard deviation measures the variation or dispersion of a set of data and is represented by the Greek letter sigma [tex]\sigma[/tex], while the variance measures how far a set of numbers are spread out from their average value. The variance is obtained by squaring the standard deviation, so the variance can be found as [tex]\sigma^{2}[/tex]
What is the length of the diameter of a circle inscribed in a right triangle with the length of hypotenuse c and the sum of the legs' lengths equal to m?
Answer:
diameter = m - c
Step-by-step explanation:
In ΔABC, let ∠C be the right angle. The length of the tangents from point C to the inscribed circle are "r", the radius. Then the lengths of tangents from point A are (b-r), and those from point B have length (a-r).
The sum of the lengths of the tangents from points A and B on side "c" is ...
(b-r) +(a-r) = c
(a+b) -2r = c
Now, the problem statement defines the sum of side lengths as ...
a+b = m
and, of course, the diameter (d) is 2r, so we can rewrite the above equation as ...
m -d = c
m - c = d . . . . add d-c
The diameter of the inscribed circle is the difference between the sum of leg lengths and the hypotenuse.
Find the slope of the line on the graph.
Need help please
Answer:
The slope is 3
Step-by-step explanation:
The formula for finding slope is change in y over change in x. Also known as rise over run. Go up 3 and go right 1 to get from one point to the next.
Answer:
=3
Step-by-step explanation:
Lets consider any 2 points on the line such as (0,2) and (1,5).
The slope of a line = Δy/Δx
Δy = y₂-y₁
Δx = x₂-x₁
y₁=2
y₂=5
x₁=0
x₂= 1
we can now use these values from the two points on the line.
Gradient= (5-2)/(1-0)
=3
A local coffee store is curious about the size beverages their customers are ordering. The beverages come in three sizes: small, medium, and large. An employee runs a simulation of 15 random outcomes using the values 1, 2, and 3 to represent small, medium, and large, respectively. What is the simulated probability that a customer will order the small beverage? 2 2 3 1 1 2 2 3 1 1 3 2 1 1 3
Answer:
2 out of 5 or 6 out of 15
Step-by-step explanation:
In this pattern, there is two people ordering it every five times. You can write it out as 6/15 or simplify it as 2/5 (six-fifteenths and two-fifths)
The simulated probability that a customer will order the small beverage is:
[tex]\dfrac{2}{5}=0.4[/tex]
Step-by-step explanation:The 1, 2, and 3 to represent small, medium, and large, respectively.
The simulation is as follows:
2 2 3 1 1 2 2 3 1 1 3 2 1 1 3
There are a total outcomes= 15
Also, the number of outcomes that the customer will order small beverage is: 6
( Since, 6 times such that 1 has occurred.
As 1 represent the simulation that the beverage comes in small size )
Hence, the simulated probability is:
[tex]\dfrac{6}{15}=\dfrac{2}{5}=0.4[/tex]
Please help me with this math question
Answer:
The point is (3 , 6)
Step-by-step explanation:
* Lets explain how to solve this problem
- We want to reflect the point (x , y) across the line y = a, where a
any constant
- The line y = a is a horizontal line, means parallel to x-axis
- We will change the y-coordinates only because we will move
up and down
- We will move the point and the line by a units down if a is positive
or up if a is negative to make the line is the x-axis and also move the
point by a units as the line
- Then we will reflect the new point across the x-axis means we will
change the sign of y-coordinate
- After that we will add the value of a again to the y-coordinate to
the point after reflection
* Lets solve the problem
∵ The point is (3 , 4)
∵ The point will reflect across the line y = 5
- We take the line 5 units down to be the x-axis and also we will take
the point down 5 units
∴ The point = (3 , 4 - 5) = (3 , -1)
- Now reflect the point across the x-axis by change the sign of the
y-coordinate
∴ The new point is (3 , 1)
- Now add the y-coordinate of the new point the 5 units which we
subtracted before
∴ The image of the point P after reflection across the line y = 5 is
(3 , 1 + 5) = (3 , 6)
* The point is (3 , 6)
Tom jugs three fifth mile on Monday and to 6 mile on Tuesday how much farther did Tom jog on Monday, then on Tuesday.
the diagram shows JKL. Which term describes point M?
orthogonal = perpendicular.
an altitude in a triangle is the perpendicular distance stemming from a vertex.
where all these orthogonal segments meet is the ORTHOcenter.
The described point M is a Orthocenter.
What is an Orthocenter?"The orthocenter is the point where all the three altitudes of the triangle cut or intersect each other. Here, the altitude is the line drawn from the vertex of the triangle and is perpendicular to the opposite side. Since the triangle has three vertices and three sides, therefore there are three altitudes."
"The orthocenter will vary for different types of triangles such as Isosceles, Equilateral, Scalene, right-angled, etc. In the case of an equilateral triangle, the centroid will be the orthocenter. But in the case of other triangles, the position will be different. Orthocenter doesn’t need to lie inside the triangle only, in case of an obtuse triangle, it lies outside of the triangle."
In this figure, the altitudes of triangle JKL is given.
Since, these are altitudes they interest each other at orthocenter.
Hence, A is the correct answer.
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