From the question we are to determine Britta most likely task in preparing a budget.
First let's know what a budget is.
A budget is an estimation of revenue and expenses over a specified future period of time and is utilized by governments, businesses, and individuals. A budget is basically a financial plan for a defined period, normally a year that is known to greatly enhance the success of any financial undertaking.
So with the above explanation of what a budget is, Britta most likely task is to allot a set amount of money for her expenses.
Therefore the correct option is C, which is She is allotting a set amount of money for her expenses.
Why aren't there infinitely many semi-regular tessellations?
Regular tessellations use identical regular polygons to fill the plane. The polygons must line up vertex to vertex, edge to edge, leaving no gaps.
Semi-regular tessellations have two properties:
• They are formed by two or more types of regular polygon, each with the same side length
,• Each vertex has the same pattern of polygons around it.
There are 8 semi-regular tessellations in total. We know each is correct because again, the internal angle of these shapes add up to 360.
For example, for triangles and squares, 60 × 3 + 90 × 2 = 360.
(credited)
Match the equation in Column I with the correct description in Column II
As given by the question
There are given that the equations:
Now,
According to the given question,
The correct matching values are;
[tex]\begin{gathered} (a)\rightarrow E \\ (b)\rightarrow D \\ (c)\rightarrow C \\ (d)\rightarrow B \\ (e)\rightarrow A \end{gathered}[/tex]Which of the following things is not contained at the plane B?
Related with the picture and your question, you should notice that an element is not contained in a set, that in your case is the plane B, when any of its points is outside of this one.
Then by the picture we could notice that the line q is not contained at the plane B, because the point G is inside q but it is not in B.
107. Cranky mower To start her old lawn mower, Rita has
S to pull a cord and hope for some luck. On any partic-
ular pull, the mower has a 20% chance of starting.
(a)
Find the probability that it takes her exactly 3 pulls to
start the mower.
(b) Find the probability that it takes her more than 6
pulls to start the mower.
108. 1-in-6 wins Alan decides to use a different strategy for
the 1-in-6 wins game of Exercise 90. He keeps buying
one 20-ounce bottle of the soda at a time until he gets
a winner.
Find the probability that he buys exactly 5 bottles.
(b) Find the probability that he buys at most 6 bottles.
Show
your work.
According to the binomial distribution, there is a 0.128 = 12.8% chance that it will take her precisely 3 pushes to start the mower.
she will need to start the mower more than 10 times.There are just two possible results for each pull. The lawnmower either starts or it doesn't. The binomial distribution is employed to answer this question since the likelihood that the mower will start on a pull is independent of all other pulls.Binomial distribution of probabilitiesThe conditions are: x is the total number of victories.The number of trials is n.P represents the likelihood that a trial will be successful.It has a 20% chance of starting on any given pull, therefore
Item
a:This probability is P(X = 0) when n = 2, multiplied by 0.2, which is the probability that it starts on the third, and it is that it doesn't start on the first two. Hence:
It has a 0.128 = 12.8% chance that she starts the mower with exactly 3 pulls.
Item b:When n = 10, this probability is none on the first 10 and is hence P(X = 0):
Her chances of needing more than 10 pushes to start the mower are 0.1074, or 10.74%.
It has a 0.128 = 12.8% chance that she starts the mower with exactly 3 pulls.
Item b:On the first, there is no chance in this.
learn more about this theorem click here:
brainly.com/question/24863377
#SPJ1
the sophomores are planning a homecoming dance they want to hire a band band a charges $600 to play for the night Band B charges $375 plus $10 for each ticket sold at the sophomore sold 30 tickets which band Chargers higher
• Charges $600 to play for the night.
Notice that this cost is to play the whole night, it's a fixed cost.
[tex]A=600[/tex]Band B.• Charges $375 plus $10 for each ticket sold.
,• The sophomore sold 30 tickets.
This band has a fixed cost plus a fee of $10, which is $300 more because they sold 30 tickets.
So, the cost of this band would be
[tex]B=350+10(30)=350+300=650[/tex]Therefore, Band B will charge more than Band A.A small pool can hold 72.5 gallons of water . The pool is currently 3/4full how many gallons are in the pool ?
If we have that the pool is currently 3/4 full, we need to multiply this fraction by the total the small pool can hold. That is (with no units):
[tex]T=72.5\Rightarrow\frac{3}{4}T=\frac{3}{4}\cdot72.5=54.375[/tex]Therefore, the pool currently has 54.735 gallons (3/4 of its total capacity) (we multiply 3 times 72.5, and then we divide this result by 4).
Evaluate each complex number.
√-49=
√-48=
√-5 x √-8=
Answer:
Step-by-step explanation:
Devin owes $26,000 in students loans for college. The interest rate is 8.75% and the loan will be paid off over 15 years. How much will Devin pay altogether?$60,125$72,123$3,412,500$8,125
Answer:
$60,125
Explanation:
We'll use the below formula to determine how much Devin will pay altogether;
[tex]A=P(1+rt)[/tex]where A = final amount = ?
P = principal amount = $2600
r = interest rate in decimal = 8.75/100 = 0.0875
t = time in years = 15 years
Substituting the given values into our formula and solving for A, we'll have;
[tex]\begin{gathered} A=26000(1+0.0875\times15) \\ =26000(2.3125) \\ =60,125 \end{gathered}[/tex]Therefore, Devin will pay $60,125 altogether.
Josslyn placed $4400 in a savings account which earns 3.2% interest, compounded continuously. How much will she have in the account after 8 years? Round your answer to the nearest dollar. Do NOT round until you have calculated the final answer.
The initial amoud on her savings is $4400, so now we can calculate the interest that she generate in one year:
[tex]4400\cdot\frac{3.2}{100}=140.8[/tex]so in 8 year is going to be:
[tex]140.8\cdot8=1126.4[/tex]So the total amoud will be the initial amound plus the interest she earn so:
[tex]4400+1126.4=5526.4[/tex]and rounded would be like:
[tex]5526\text{ dollars}[/tex]Answer:5684
Step-by-step explanation:
pe
Cual es el resultado de (5)⁶
Answer:
15625
Step-by-step explanation:
5x5x5x5x5x5=15625
5 times itself 6 times
Part 1 - FlooringFor the most part, the floors in Rachel's new house are in good shape. However, there are a couple of rooms that Rachel wants to redo right away. She plans to put new carpet in the family room and living room, and fresh hardwood floors in the foyer and kitchen. She also needs to put a new tile floor in the breakfast nook and mud room. Rachel (with your help) plans to install all the flooring herself, so there are no labor costs. However, she does need to buy the materials.Rachel has already scoped out the local home improvement store and priced out the cost of each material. She found that the carpet she wants will cost $1.80 per square foot, the hardwood flooring will cost $4.50 per square foot, and the tiles will cost $2.30 per square foot.a. How many square feet of carpet does Rachel need?b. How many square feet of hardwood does Rachel need?c. How many square feet of tile does Rachel need?d. How much will the total cost of materials for the re-flooring project be?
ANSWERS
a. 863.08 ft²
b. 474 ft²
c. 249 ft²
d. $4,259.24
EXPLANATION
Given:
• Rooms with ,carpet,: Family room and living room
,• Rooms with ,hardwood,: kitchen and foyer
,• Rooms with ,tiles,: breakfast nook and mudroom
• Cost ,carpet,: $1.80 per square foot
,• Cost ,hardwood,: $4.50 per square foot
,• Cost ,tiles,: $2.30 per square foot
First, we have to find the area of each of the mentioned rooms,
a. The family room is in the shape of a square whose sides are all 20 feet and a semicircle whose diameter is 20 feet. The area of the family room is the sum of the areas of each of these figures,
[tex]A_{family-room}=(20ft\cdot20ft)+(\frac{1}{2}\cdot\pi\cdot(20ft/2)^2)[/tex]As shown above, the area of the semicircle is half the area of the full circle with the same diameter. Solve,
[tex]A_{family-room}\approx(400ft^2)+(157.08ft^2)=557.08ft^2[/tex]The living room is in the shape of a rectangle with side lengths 15ft and 22ft, but a right triangle is cut out from the corner. The area of the living room is the area of the mentioned rectangle minus the area of the triangle of the corner,
The side lengths of the triangle are 15ft - 9ft = 6ft and 22ft - 14ft = 8ft. The area of the triangle is,
[tex]A_{triangle}=\frac{6ft\cdot8ft}{2}=24ft^2[/tex]So, the area of the living room is,
[tex]A_{living-room}=(22ft\cdot15ft)-24ft^2=330ft^2-24ft^2=306ft^2[/tex]The area that Rachel wants to cover with a new carpet is,
[tex]A_{carpet}=A_{family-room}+A_{living-room}=557.08ft^2+306ft^2=863.08ft^2[/tex]Hence, the area to be covered with carpet is 863.08 ft².
b. The kitchen is a rectangle with dimensions 24 ft and 15 ft, so its area is,
[tex]A_{kitchen}=24ft\cdot15ft=360ft^2[/tex]The foyer is in the shape of a rectangle with dimensions 10ft and 15ft. However, assuming that the stairs won't be covered with hardwood and that they cover that part of the foyer's floor, to find the area we have to subtract the area the stairs occupy in that room.
The rectangle where the stairs are has dimensions 9ft and (10ft - 6ft ) = 4ft. The area of the Foyer is,
[tex]A_{foyer}=(10ft\cdot15ft)-(9ft\cdot4ft)=(150ft^2)-(36ft^2)=114ft^2[/tex]The area Rachel wants to be covered by hardwood is the sum of the two,
[tex]A_{hardwood}=A_{kitchen}+A_{foyer}=360ft^2+114ft^2=474ft^2[/tex]Hence, the area to be covered with hardwood is 474 ft².
c. The mudroom is in the shape of a rectangle with dimensions 15 ft and 7 ft, so its area is,
[tex]A_{mudroom}=15ft\cdot7ft=105ft^2[/tex]The breakfast nook is in the shape of a trapezoid, where the height is 8ft and the lengths of the bases are 24ft and 12ft. Its area is,
[tex]A_{breakfast-nook}=\frac{(12ft+24ft)}{2}\cdot8ft=\frac{36ft}{2}\cdot8ft=18ft\cdot8ft=144ft^2[/tex]The area Rachel wants to cover with tiles is the sum of these two areas,
[tex]A_{tiles}=A_{mudroom}+A_{breakfast-nook}=105ft^2+144ft^2=249ft^2[/tex]Hence, the area to be covered with tiles is 249 ft².
d. Finally, we have to find the cost of flooring with each material,
[tex]Costs=\begin{cases}C_{carpet}=A_{carpet}\cdot p_{carpet}=863.08ft^2\cdot1.80=1,553.54 \\ C_{hardwood}=A_{hardwood}\cdot p_{hardwood}=474ft^2\cdot4.50=2,133 \\ C_{tiles}=A_{tiles}\cdot p_{tiles}=249ft^2\cdot2.30=572.70\end{cases}[/tex]The total cost of the project is the sum of the three,
[tex]C_{project}=C_{carpet}+C_{hardwood}+C_{tiles}=1,553.54+2,133+572.70=4,259.24[/tex]Hence, the total cost of the re-flooring project will be $4,259.24.
given the parent function f(x)=ab^x how could changing from a 2 to -2 cause f(x) to change? use words like "increasing" "decreasing" "positive" "negative" "domain" and "range" to describe the similarities and differences in the graph
Here, we want to get the response of the given function with respect to the change in the value of the leading coefficient
As we can see from the question, what we have is an example of an exponential function
Generally, with exponential function with a positive value for a, as the value of x moves closer to negative infinity, we have that the value of f(x) moves closer to 0. What this mean is that with a decrease in the value of x, the value of f(x) moves closer to 0
Hence, as the domain value moves closer to negative infinity, the value of the range moves closer to 0. Furthermore, as the value of the domain moves closer to positive infinity, the value of the range also close in on positive infinity
The above situation is for a being positive (given as 2)
Now, when a becomes negative, we have an opposite direction for the plot
Although, as the domain value moves closer to negative infinity, we have the value of f(x) being closer to zero. This is directly as above
However, as the domain moves towards positive infinity, the value of the range moves closer to negative infinity
In summary;
[tex]\begin{gathered} \text{for a = 2} \\ x\Rightarrow\text{ +}\infty\text{ , f(x)}\Rightarrow+\infty \\ x\Rightarrow-\infty,\text{ f(x) }\Rightarrow0 \\ \text{for a = -2} \\ x\Rightarrow+\infty,\text{ f(x)}\Rightarrow-\infty \\ x\Rightarrow-\infty,\text{ f(x)}\Rightarrow0 \end{gathered}[/tex]Given the functions:Evaluate the function for . Write your answer in exact simplified form. Select "Undefined" if applicable.
Given:
[tex]\begin{gathered} f(x)\text{ = x}^3\text{ + 6x} \\ g(x)\text{ = }\sqrt{2x} \end{gathered}[/tex]Explanation:
The required function is given as,
[tex]undefined[/tex]1-58. Copy the number line below and place the following probabilities on it
Considering the following:
a) 1/4 chance that you will be the team member who gets supplies tomorrow
b) A 25% chance of snow tomorrow
c) A 0.8 probability of eating vegetables with dinner
d) P(blue marble) = 5/8
e) A 0.10 probability that it will be 85º on Saturday
Then:
1/4 =0.25 and 25% represents the same amount
A 0.8 probability is equivalent to 80% of probability of eating vegetables.
P (blue marble) = 5/8 5: 8 =0.625 what is equivalent to 62.5 if we multiply it by 100
And Finally 0.10 probability is a probability of 10% of 85ºF on Saturday
Placing all this values on a line by increasing order
Roughly sketched.
Remember that Probability is always represented within an interval between 0 and 1
Find the missing angle:
FRT=________
Using the secant-secant theorem,
[tex]m\angle FRT=\frac{140^{\circ}-50^{\circ}}{2}=\boxed{45^{\circ}}[/tex]
Answer: 45 degrees
Step-by-step explanation:
Using the secant-secant theorem
Wich expression is equivalent to a+(c+7)
Given the expression:
[tex]a+(c+7)[/tex]To determine an equivalent expression, the first step is to open the bracket.
Therefore:
[tex]undefined[/tex]solve the value of the variable7(3x-4)=6x-4+3x+12
7(3x-4) = 6x -4 +3x +12
Distributing:
7(3x) -7(4) = 6x -4 +3x +12
21x - 28 = 6x -4 +3x +12
Combining similar terms:
21x - 28 = (6x + 3x) + (-4 +12)
21x - 28 = 9x + 8
9x is adding on the right, then it will subtract on the left
28 is subtracting on the left, then it will add on the right
21x - 9x = 8 + 28
12x = 36
12 is multiplying on the left, then it will divide on the right
x = 36/12
x = 3
Which rule describes the transformation used tocreate GHI from DEF?A. (x,y) → (-y, x)B. (x,y) → (-X, -y)C. (x,y) → (x, -y)D. (x,y) → (y, -x)
Explanation:
We can see that the points are mapped as:
[tex]\begin{gathered} G(5,-1)\rightarrow D(-5,1) \\ H(5,2)\rightarrow E(-5,-2) \\ I(-1,2)\rightarrow F(1,-2) \end{gathered}[/tex]Therefore the coordinates of each point change to its opposite.
Answer:
The rule is:
B. (x, y) → (-x, -y)
4p-9=2p+21solve the equation
The given equation is,
[tex]4p-9=2p+21[/tex]The equation can be solved as,
[tex]\begin{gathered} 4p-9=2p+21 \\ 4p-2p=21+9 \\ 2p=30 \\ p=\frac{30}{2} \\ p=15 \end{gathered}[/tex]Thus, the requried value of p is 15.N
Describe how you can use the factors of a quadratic function to find its zeroes. (Please try to answer it specifically)
Oce we have the factors, we must equal each factor to zero, then we solve for x to find the zeroes of the equation.
Ex.
(x - 3)(x + 2) = 0
the factors are (x - 3) and (x + 2)
Equal to zero
x - 3 = 0 x + 2 = 0
Solve for x
x = 3 x = -2 and these are the zeroes of the
equation.
Answer:
To find de ceros you can take each factor and use the 0 product property, then you solve to find the value of the cero.
The Fishers ate out at a restaurant and paid a total of $68.22, including the tip. If the Fishers tipped 20%, what was the cost of the meal?
Explanation:
Multiply 68.22 by 1.2 to get 81.864 or $81.86
List the sides of ABC from shortest to longest.CB AB ACАВ, СВ, АСАВ, АС, СВCB AC AB
First we need to calculated the missing angle
the intern angles of a triangle must be 180°
angle +63+60=180
angle=57
the shortest side is AB
the next side is AC
and the longest side is CB
t
For her phone service, Lucy pays a monthly fee of $15, and she pays an additional $0.05 per minute of use. The least she has been charged in a month is$84.75What are the possible numbers of minutes she has used her phone in a month?Use m for the number of minutes, and solve your inequality for m.
m ≥ 1395 minutes
Explanation:Monthly fee = $15
fee paid per minute of use = $0.05
let the number of minutes she used = m
The least amount she has been charged = $84.75
least is written as ≥ $84.75
The equation:
Monthly fee + fee per minute(number of minutes) = The total charge
The equal sign changed below since the question mentioned the least amount
$15 + 0.05(m) ≥ $84.75
15 + 0.05m ≥ 84.75
To get the possible number of minutes, we will solve for m:
15 + 0.05m ≥ 84.75
subtract 15 from both sides:
0.05m ≥ 84.75 - 15
0.05m ≥ 69.75
divide both sides by 0.05:
m ≥ 69.75/0.05
m ≥ 1395 minutes
The possible number of minutes she has used her phone in a month is at least 1395 minutes
Please answer and explain the problem. This is due soon, please help!!
In all cases use the following formula for the are of a rectangular shape:
A = lw
Plot A:
The area and height are known, then, solve the formula for the length l:
l = A/w
repace the given values
l = (204 ft²)/(10.2 ft)
I = 20 ft
For the perimeter you have:
P = 2l + 2w = 2(20 ft) + 2(10.2 ft) = 60.4ft
Plot B:
The length and the perimeter are known. For the expression for the perimeter solve for w:
P = 2l + 2w
w = (P - 2l)/2
replace the values of P and l:
w = (57.56 ft - 2(12.78 ft))/2 = 16 ft
Then, replace in the formula for the area:
A = lw = (12.78 ft)(16 ft) = 204.48 ft²
Plot C:
The area and the height are known. Use the formula for A to obtain the length:
l = A/w = 204.49 ft/14.3 ft = 14.3 ft
and for the perimeter:
P = 2w + 2l = 2(14.3 ft) + 2(14.3 ft) = 57.2 ft
Hence, you can conclude:
- The plost with the least amount of fencing is the plot with the lowest perimeter, hence, Plot C requires the least amount of fencing.
- The plot with the greatest area is Plot A.
I want to select average students . If the mean score on the qualifying test is 43.2 and the standard deviation is 8.6. find the score that cutt off the middle 50 percent of all scores
The score that cutt off the middle 50 percent of all scores is 43.2
Explanations:For a normal distribution, the normal value is the mean
It divides the curve in 50%-50%
Mean score, μ = 43.2
Standard Deviation, σ = 8.6
P(X≤a)=0.5
Use Z =(X-μ)/δ ~N(0;1)
b =(a-μ)/σ
P(Z≤b)=0.5
The value is b=0 (the mean for Z)
a=(b*σ)+μ
a=(0*8.6)+43.2
a=43.2
Therefore, the score that cutt off the middle 50 percent of all scores is 43.2
MAH ~ WCF what is the value of x?picture will be sent in messages
Since both triangles are congruent, the proportion between their sides is the same, so we can write:
[tex]\frac{MA}{MH}=\frac{WC}{WF}\Longrightarrow\frac{62}{92}=\frac{15.5}{x}\Longrightarrow62x\text{ = 92 }\cdot\text{ 15.5 = }1426\Longrightarrow\text{ x = 1426/62 =}23[/tex]x = 23
Answer:
x = 23
25. Ally is making a replica of a building that is at ascale of 4 m. to 3 in.The model is 84 in tall. How tallis the building?
We know that in our model 3 inches represent 4 m, to determine how tall the building is with the knowledge that the model is 84 in we can use a rule of three:
[tex]\begin{gathered} 4\text{ m}\rightarrow3\text{ in} \\ x\rightarrow84\text{ in} \end{gathered}[/tex]then:
[tex]x=\frac{84\cdot4}{3}=112[/tex]Therefore, the building is 112 meters tall.
find the value of x then find the measure of both angles
According to the given graph, the angles are linear pairs because they are on a straight angle, so the must sum 180°. Having said that, we express the following.-
[tex](4x+20)+(x-10)=180[/tex]We reduce like terms
[tex]5x+10=180[/tex]Then, we subtract 10 on each side.
[tex]\begin{gathered} 5x+10-10=180-10 \\ 5x=170 \end{gathered}[/tex]At last, we divide the equation by 5.
[tex]\begin{gathered} \frac{5x}{5}=\frac{170}{5} \\ x=34 \end{gathered}[/tex]We use this value to find the angles.
[tex]\begin{gathered} 4x+20=4(34)+20=136+20=156 \\ x-10=34-10=24 \end{gathered}[/tex]Therefore, x is equal to 34, and the angles are 156° and 24°.write an inequality for the graph using x for the variable.
Given:
There are given that the inequality graph.
Explanation:
In the given question, there are given number line graphs, in which the arrow has been shown in a negative direction.
Also,
There are given that the number 2 has not been included in the given graph.
So,
The inequality will be:
[tex]x<2[/tex]Final answer:
Hence, the inequality is shown below:
[tex]x\lt2[/tex]
find the solution to the system of equations given below x=-4 5x+4y=-16
We have the following system of equations:
[tex]\begin{gathered} x=-4\ldots(A) \\ 5x+4y=-16\ldots(B) \end{gathered}[/tex]Solving by substitution method.
If we substitute equation A into equation B, we get
[tex]5(-4)+4y=-16[/tex]since 5(-4)= -20, we have
[tex]-20+4y=-16[/tex]If we move -20 to the right hand side as +20, we obtain
[tex]\begin{gathered} 4y=-16+20 \\ \end{gathered}[/tex]since -16+20=20-16 = 4, we get
[tex]4y=4[/tex]and finally, y is equal to
[tex]\begin{gathered} y=\frac{4}{4} \\ y=1 \end{gathered}[/tex]Since equation A tells us that x=-4, the solution of the system is
[tex]\begin{gathered} x=-4 \\ y=1 \end{gathered}[/tex]