The statements that defines the term resources is A. materials that help you achieve your goals.
What is resources?Resource can be described as all the materials available that is available in individual environment and can be seen as one that is technologically accessible.
It should be noted that resources do help us to achieve most of our goals and can be seen as one that is economically feasible as welll as culturally sustainable and they serves as things that can help us and thjat can satisfy our needs and wants which is needed on daily basis.
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Q(–1, a) is 4 5 units away from P(3, –2). Find all possible values of a
Answer:
Step-by-step explanation:
Using the formula for calculating the distance between 2 points.
D = √(x2-x1)²+(y2-y1)²
Given
D = 45 units
The coordinates Q(–1, a) and P(3,2)
45 = √(3-(-1))²+(-2-a)²
45 = √4²+(-2-a)²
45 = √16+(-2-a)²
45² = 16+(-2-a)²
45² = 16+4+4a+a²
45² = 20+4a+a²
a²-4a+20-2025 = 0
a²+4a-2005 = 0
a = -4±√16+4(2005)/2
a = -4±√16+8020/2
a = -4±√8036/2
a = -4±90/2
a = -4+90/2
a = 86/2
a = 43
The possible values of a is 43
12. A plot of land is used to grow flowers. of the land is allocated for orchids. 2 After the orchids have been planted, of the remaining land is allocated for roses. After orchids and roses have been planted, 0.75 of the remaining land is allocated for tulips. What fraction of the plot of land is not occupied by the flowers?
The fraction of the plot of land not occupied by the flowers is 0.0625 or 1/16.
Let's calculate the fraction of the plot of land that is not occupied by the flowers.
Given that initially, 1/4 of the land is allocated for orchids, we have 1 - 1/4 = 3/4 of the land remaining.
After planting the orchids, 2/3 of the remaining land is allocated for roses. Therefore, the fraction of land allocated for roses is (2/3) * (3/4) = 2/4 = 1/2.
Subtracting the land allocated for roses from the remaining land, we have 3/4 - 1/2 = 1/4 of the land remaining.
Finally, 0.75 of the remaining land is allocated for tulips. Therefore, the fraction of land allocated for tulips is 0.75 * (1/4) = 0.1875.
To find the fraction of the plot of land not occupied by the flowers, we subtract the fractions of land allocated for flowers from 1:
1 - (1/4 + 1/2 + 0.1875) = 1 - 0.9375 = 0.0625.
Therefore, the fraction of the plot of land not occupied by the flowers is 0.0625.
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If you open a bank account with 23,000 and its annual interest is compounded quarterly. What would the interest have to be for the amount to grow to $50,000 in 7 years?
\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 50000\\ P=\textit{original amount deposited}\dotfill &\$23000\\ r=rate\to r\%\to \frac{r}{100}\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &7 \end{cases}\)
\(50000 = 23000\left(1+\frac{ ~~ \frac{r}{100} ~~ }{4}\right)^{4\cdot 7} \implies \cfrac{50000}{23000}=\left( 1+\cfrac{r}{400} \right)^{28} \\\\\\ \cfrac{50}{23}=\left( \cfrac{400+r}{400} \right)^{28}\implies \sqrt[28]{\cfrac{50}{23}}=\cfrac{400+r}{400} \\\\\\ 400\sqrt[28]{\cfrac{50}{23}}=400+r\implies 400\sqrt[28]{\cfrac{50}{23}}-400=r\implies \stackrel{ \% }{11.25}\approx r\)
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
c=9.1 miles
Step-by-step explanation:
a^2+b^2=c^2
6.2^2+6.7^2=c^2
38.44+44.89=c^2
83.33=c^2
√83.33=c
c=9.12852671574
Round to nearest 10th
c=9.1
If this helps please mark as brainliest
Answer:
9.1 miles
Step-by-step explanation:
6.7²+6.2²=h² 44.89+38.44=h² 83.33=h² find the square root of 83.33
UCF students pay an average of 1,245 dollars for books. The standard deviation of costs of books is sigma = 102 dollars. Select 36 UCF students at random. Find the probability that the sample mean cost of books of 36 students exceeds 1,245+ (1.96)(102)/6.
I need help solving this!
After answering the provided question, we can conclude that As a result, expression the likelihood that the sample mean book cost of 36 UCF students exceeds $1,278.6 is approximately 0.0427, or 4.27%.
what is expression ?In mathematics, an expression is a collection of symbols, digits, and companies that portray a statistical correlation or formula. An expression can be a single number, a mutable, or a combination of both of them. Addition, subtraction, proliferation, division, and exponentiation are examples of mathematical operators. Expressions are used extensively in mathematics, including arithmetic, calculus, and geometry. They are used in mathematical formula representation, equation solution, and mathematical relationship simplification. \
\(P(x > 1278.6) = P(z > (1278.6-1245)/(102/36)) P(z > 1.72) = 0.0427 P(z > 1.72) = 0.0427\)
As a result, the likelihood that the sample mean book cost of 36 UCF students exceeds $1,278.6 is approximately 0.0427, or 4.27%.
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The dot plot below shows the number of hours of sleep preferred by 25 patients chosen randomly in a particular medical office.
Calculate the mean, median, and mode of the data. Based on the results, which list shows a comparison of the measures of central tendency, from least to greatest?
A) Median, mode, mean
B) Median, mean, mode
C) Mode, median, mean
D) Mean, median, mode
The list that shows a comparison of the measures of central tendency from the least to the greatest is mean, median and mode. (option D)
What is the correct order?The dataset represented with the dot plot is 2, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8,8, 8, 8, ,8, 8, 8, 8, 8, 8
Mean is the average of the dataset.
Mean = sum of numbers / total number in the dataset
[(2 x 1) + (5 x 4) + (6 x 4) + (7 x 6) + (8 x 10)] / 25 = 6.72
Median is the number at the center of the dataset.
The median = 1/2(n + 1)
1/2 x (26) = 13th number = 7
Mode is the number that occurs most frequently. The number that occurs the most in the dataset is 8.
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Three quarters of a number is 27. What is two ninths of the number?
Answer:
8
Step-by-step explanation:
let x be the number , then
\(\frac{3}{4}\) x = 27 ( multiply both sides by 4 to clear the fraction )
3x = 108 ( divide both sides by 3 )
x = 36
the number is 36, so
\(\frac{2}{9}\) × 36 = 2 × 4 = 8
The two ninths of the number is 8
We know that Three quarters of a number is \(\frac{3}{4}\) times of a number
Hence we will assume the number x ,
\(\frac{3}{4} of x = 27\)
\(x = 27 X \frac{4}{3}\)
\(x = 36\)
Now as we know the number is 36
Therefore , the two ninths of the number assumed as y
We will multiply the number 36 by 2 and then divide by 9
Hence,
\(y = 36 X \frac{2}{9}\)
\(y = 8\)
Thus, the two ninths of the number 36 is 8
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what is the Diagram of 5*x =15
Answer:
i got the answer i put a picture below
Step-by-step explanation:
10. Higher Order Thinking Each of 5 friends has x action figures in
his or her collection. Each friend buys 11 more action figures. Now
the 5 friends have a total of 120 action figures.
a. Write an equation that models the problem.
b. Solve the equation to find the number of action figures, x, that
each friend had originally.
Each friend had originally 13 action figures before buying 11 more.
Given that there are 5 friends and each of them has x action figures in his or her collection. When they buy 11 more action figures, the total number of action figures they will have is 120.
a) We need to find an equation that models the problem. Let x be the original number of action figures that each friend had.
Therefore, the total number of action figures that each friend will have after purchasing 11 more is x + 11.
The total number of action figures will be 5(x + 11) = 5x + 55.
Now, according to the problem,5x + 55 = 120
This is our equation that models the problem.
b) We have to solve the equation 5x + 55 = 120 to find the original number of action figures, x, that each friend had before buying 11 more action figures.
5x + 55 = 120
5x = 120 - 55 (subtract 55 from both sides)
5x = 65x = 13
Therefore, each friend had originally 13 action figures before buying 11 more.
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What is the surface area of a sphere with diameter 8 cm?
Answer:
As = 256\(\pi\) or 804.25cm
Step-by-step explanation:
By formula As = \(4\pi r^{2}\)
As = 256\(\pi\) or 804.25cm
(I NEED THIS RIGHT NOW!! PLEASE GIVE EXPLANATION!!) Millie and her brother, Jack, sold candy baes for the band fund-raiser. Millie sold three times as many candy bars as Jack. If Jack sold 30 candy bars, which equation and solution can be used to represent y, the number of candy bars Millie sold?
A. 3y = 30; y = 10
B. 30 = y/3; y = 103
C. 30 = y/3; y = 90
D. 3y = 30; y = 90
Answer:
C
Step-by-step explanation:
When we do 30=y/3 we get 90 because of the fraction symbol and its says in the problem 3 times as much so more not less so 3x30 equals 90 so we already take out A and B and when there is nothing but a simple equation like 30=3 we dived so it cant be D Ethier so its C
PLS GIVE BRAINLIST
Happy Easter
Mia hired a moving company. The company charged $500 or its services, and Mia gives the movers a 16% tip.
Answer:
The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580
Step-by-step explanation:
Customer pays $0.035 per minute for local calls, if the customer made 60 local calls that all lasted 3 minutes, how much will the customer pay?
The customer will pay $6.30 for the 60 local calls that all lasted 3 minutes.
To find out how much the customer will pay, we need to calculate the total cost for all the local calls.
Step 1: Calculate the total number of minutes for all the calls
Since the customer made 60 local calls and each call lasted 3 minutes, we can multiply 60 by 3 to get the total number of minutes.
60 calls * 3 minutes/call = 180 minutes
Step 2: Calculate the total cost for all the minutes
The customer pays $0.035 per minute for local calls. To find the total cost, we can multiply the total number of minutes by the cost per minute.
180 minutes * $0.035/minute = $6.30
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When an independent variable in a multiple regression model includes a value of X to a higher power, such as X squared, and this model produces a higher value of R-squared than a linear model, this suggests that the residual plot for the linear equation did not produce a random pattern around the zero line of the residual plot.
True or False
The higher R-squared value of the multiple regression model with the higher order independent variable implies that the linear model is not the best fit and that a more complex model is needed to better explain the data
1. Multiple regression models involve fitting a model that includes one or more independent variables to predict a dependent variable.
2.A value of X to a higher power, such as X squared, for an independent variable in a multiple regression model indicates that the relationship between the independent and dependent variables is not linear.
3. If this model produces a higher value of R-squared than a linear model, it means that it is a better fit for the data.
4. However, it does not necessarily imply that the linear model's residual plot is not randomly distributed around the zero line.
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The sector of a circle with a diameter of 8 feet has a central angle measure of 45°. What is the area of the sector?
A. π/2 ft²
B. π ft²
C. 2 π ft²
D. 8 π ft²
so, we know the diameter is 8, so that means its radius is half that, or 4.
\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=4\\ \theta =45 \end{cases}\implies A=\cfrac{(45)\pi (4)^2}{360}\implies A=2\pi ~ft^2\)
To build a new skate park, a community board must have at least 50% of the voters agree to the build. At a recent voters meeting, 125 voters were asked if they would vote for the new skate park and 72 responded yes. Should the community board go ahead and start planning the park?
No, they should not plan for the skate park because the sample had about 42.4% people vote no.
No, they should not plan for the skate park because the sample had about 57.6% people vote no.
Yes, they should plan for the skate park because the sample had about 42.4% people vote yes.
Yes, they should plan for the skate park because the sample had about 57.6% people vote yes.
The solution is Option D.
The skate park should be build as the percentage of votes was 57.6 %
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the percentage of votes be represented as A
Now , the skate park will be built if the percentage of votes is greater than 50 %
Now , the total number of voters = 125 voters
The number of voters who responded to building the park = 72 voters
Substituting the values in the equation , we get
A = ( number of voters who responded to building the park / total number of voters ) x 100
On simplifying the equation , we get
A = ( 72 / 125 ) x 100
A = 0.576 x 100
A = 57.6 %
And , A > 50 %
Therefore , they should plan for the skate park because the sample had about 57.6% people vote yes
Hence , the percentage of votes is 57.6 %
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A line has a slope of 0 and includes the points (3, t) and (5, -7). What is the value of t?
t =
Answer:
-7
(If you like this answer i would appreciate if u give brainliest but otherwise, i hope this helped ^^)
Step-by-step explanation:
To find the value of t, we can use the formula for the slope of a line:
m = (y2 - y1) / (x2 - x1)
Given that the slope of the line is 0, we have:
0 = (-7 - t) / (5 - 3)
To solve for t, we can cross-multiply:
0 * (5 - 3) = -7 - t
0 = -7 - t
To isolate t, we can add 7 to both sides:
7 = -t
Dividing both sides by -1, we get:
t = -7
Therefore, the value of t is -7.
The length of a rectangular garden is two feet more than twice its width. If the perimeter is 40 feet, find the width.
In the diagram below of circle A. diameter MP = 26. m_GAI = 30° and radiGA and Al are drawn.MАP30°G1if MG IP, find the area of the sector MAG in terms of me and approximateto the nearest hundredth.The area of the sector in terms of u isTTThe area of the sector rounded to the nearest hundredth isunitssquared.
To find the area of a sector of a circle in terms of π having the angle in degrees you use the next formula:
\(A=\frac{\theta}{360}\cdot\pi\cdot r^2\)r is the radius
To find area of sector MAG:
1. Find the angle of the sector MAG.
The semicircle has an angle of 180° and it is divided into 3 sectors MAG, GAI, and IAP.
As the arcs MG and IP are congruents (have the same measure) the angles of the sectors MAG and IAP are also congruent.
\(\begin{gathered} m\angle\text{MAG}+m\angle\text{GAI}+m\angle\text{IAP}=180 \\ \\ m\angle MAG=m\angle IAP \\ m\angle GAI=30 \\ \\ 2m\angle MAG+m\angle GAI=180 \\ 2m\angle MAG+30=180 \end{gathered}\)Use the equation above to find the measure of angle MAG:
\(\begin{gathered} 2m\angle MAG=180-30_{} \\ 2m\angle MAG=150 \\ m\angle MAG=\frac{150}{2} \\ \\ m\angle MAG=75 \end{gathered}\)2. Find the area of sector MAG:
Angle 75°
radius= half of the diameter (26/2 = 13)
r=13
\(\begin{gathered} A=\frac{75}{360}\cdot\pi\cdot(13)^2 \\ \\ A=\frac{75}{360}\cdot\pi\cdot169 \\ \\ A=\frac{12675}{360}\pi \\ \\ A=\frac{845}{24}\pi \\ \\ A\approx35.21\pi \\ \\ A\approx110.61 \end{gathered}\)The exact area of the sector MAG is 845/24 π units squared.
Rounded to the nearest hundredth 35.21 π units squared or 110.61 units squared
What is the local tax deducted for $562 biweekly with 2 1/2% tax? $14.05 $ $21.10 $28.10 $140.50
The amount of tax that will be deducted will be A. $14.05
Amount given = $562Tax percentage = 2 1/2%In order to calculate the local tax that will be deducted, we've to multiply the amount that given by the tax percent and this will be:
= $562 × 2 1/2%
= $14.05
Therefore, the amount of tax that will be deducted will be $14.05
In conclusion, the correct option is A.
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For which shape is 45 degrees the smallest angle of rotational symmetry?
Answer:
Step-by-step explanation:
You want the external angle to be 45°.
If n = number of sides, the external angles are each 360°/n = 45°
n = 360/45 = 8
The shape is a regular octagon.
Answer:
the sun
Step-by-step explanation:
truss lebro
What is mZDFE?
E
m2DFE =
74⁰
G
LL
D
The measure of angle DEF is 37 degrees.
What is chord in circle
In geometry, a chord is a straight line segment that connects two points on the circumference of a circle. More specifically, a chord of a circle is a line segment whose endpoints lie on the circle.
Every circle has infinitely many chords, but some of the most commonly discussed chords are the diameter (a chord that passes through the center of the circle), and the secant (a chord that intersects the circle at two distinct points).
Chords play an important role in geometry, as they can be used to determine various properties of circles, such as their radius, diameter, and area.
Since G is the center of the circle, the angle DGE is a central angle of the circle.
Therefore, the angle DGE is equal to twice the inscribed angle DEF that subtends the same arc DE.
Let x be the measure of angle DEF. Then, we have:
2x = 74
x = 37
Hence, the measure of angle DEF is 37 degrees.
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63x^18/9x^2 simplified
Answer:
7x^16. Step-by-step solution in the attachment.
Amy and Zack each have 24 feet of fencing for their rectangular gardens. Amy makes her fence 6 feet long. Zack makes his fence 8 feet long. Whose garden has the better area? How much greater?
Answer:
The answer is Zack garden
Square MATH has a side length of 7 inches. which three-dimensional object will be formed by continuously rotating square MATH around Side AT?
Answer:
if answer choices are triangles then the answer is c
Step-by-step explanation:
need more points ??? solve this .....only first part for 50 points .....and follow me also!
Answer:
see below
Step-by-step explanation:
i.
= √(3 + 4i)
= 2 + i
ii.
= √(-8 + 6i)
= √2(-4 + 3i)
iii.
= √(-40 - 42i)
= √-2(20 + 21i)
iv.
= √i
= √i
v.
= \(\sqrt{\frac{2 + 3i}{5 - 4i} } +\sqrt{\frac{2-3i}{5+4i} }\)
= \(\sqrt{\frac{-2+23i}{41} } +\sqrt{\frac{2-3i}{46} }\)
Answer:
ok iam follow
Step-by-step explanation:
Mark as brainleist answer
Estimate the solution of the system of equations. Write the answer as an ordered pair.
solution =
A sequence can be generated by using an= 3an-1, where a1 = 10 and n is a whole number greater than 1.
What are the first 3 terms in the sequence?
A. 3, 13, 23
B. 10, 30, 90
C. 10, 13, 16
D. 3, 30, 300
Answer:
B
Step-by-step explanation:
using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then
a₁ = 10
a₂ = 3a₁ = 3 × 10 = 30
a₃ = 3a₂ = 3 × 30 = 90
the first 3 terms are 10 , 30 , 90
I don't think it's anything under 4in, but I'm not sure.
Answer:
5
Step-by-step explanation:
All you would have to do is read the question. Because if it is like a block than it couldn't be any closer to the bottom than five inches.
2. For each of the following statements, indicate whether it is "Always True", "Never True", or
"Sometimes True". Mark an "X" in the appropriate column. If you choose "Sometimes True"
then state when it is true. The first one is done as an example.
Always True
Never True
Sometimes
True
It is true when...
x-12=x+30
Answer:
1. Never True 2. Always True 3. Never True
4. Sometimes True (True when x = 0) 5. Never True
Step-by-step explanation:
1. x - 12 = x + 30
subtract x from both sides
-12 = 30
add 12 to both sides
0 = 42
Never True (no solutions)
2. 2(x+6) = 2x + 12
2x + 12 = 2x + 12
Always True (infinite solutions)
3. 3(x - 2) = 3x - 2
3x - 6 = 3x - 2
subtract 3x from both sides
-6 = -2
Never True (no solutions)
4. (x + 4)^2 = x^2 + 4^2
(x+4)^2 = (x+4)(x+4)
x^2 + 8x + 16 = x^2 + 4^2
subtract x^2 from both sides
8x + 16 = 16
subtract 16 from both sides
8x = 0
divide both sides by 8
x = 0
Sometimes True. It is true when x = 0.
5. x^2 + 4 = 0
Move 4 to the right
x^2 = -4
This statement is false because any value multiplied by itself (squared) can not equal a negative number.
Never True (no solutions)
Hope this helps!