In a Budget Plan, Fixed Expenses were $475. They have gone up 5%. What will the updated Total Fixed Expenses be?
Answer: $498.75
Explanation: Honestly, get 5% of $475 then add that to $475.
A state park has an area of 112 acres. The table shows the estimated park populations for several animals. Find the population density in animals per acre for each animal?
Animal-Population
otter-35
raccoon-186
fox-9
bobcat-3
The population density of otter, raccoon, fox and bobcat is 0.3125, 1.66, 0.0803 and 0.0267 per acre
Total park area of the state park = 112 acres
Number of Otter = 35
Number of Raccoon = 186
Number of Fox = 9
Number of Bobcat = 3
The formula of population density is given by:
Population Density = Number of animals/Area of land
Population density of Otter in the park = 35/112 = 0.3125 Otter per acre
Population density of raccoon in the park = 186/112 = 1.66 Raccoon per acre
Population density of fox in the park = 9/112 = 0.0803 Fox per acre
Population density of bobcat in the park= 3/112 = 0.0267 bobcat per acre
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what is the value of x?!?
please help!
Answer:
x = 25
Step-by-step explanation:
The given angles, x° and (6x+5)° form a linear pair. You want the value of x.
Linear pairTwo angles that together form a straight line are called a linear pair. A linear pair of angles has a total measure of 180°.
x° +(6x +5)° = 180°
7x +5 = 180 . . . . . . . . . divide by °, collect terms
7x = 175 . . . . . . . . . . subtract 5
x = 25 . . . . . . . . . . divide by 7
The value of x is 25.
Which of the following ordered pairs could be the y-intercept of a function?
(16, 0)
(0, 12)
(-2, 2)
(-4, 0)
Given the diagram below, what is
cos(45*)?
8 √2
450
Triangle not drawn to scale
O A. 1/√2
O B. 2 √2
O C. 4 √2
O D. √2
The value of cos(45°) is √2/2. The correct answer choice is D. √2.
In the given diagram, the angle labeled as 45° is part of a right triangle. To find the value of cos(45°), we need to determine the ratio of the adjacent side to the hypotenuse.
Since the angle is 45°, we can assume that the triangle is an isosceles right triangle, meaning the two legs are congruent. Let's assume the length of one leg is x. Then, by the Pythagorean theorem, the length of the hypotenuse would be x√2.
Now, using the definition of cosine, which is adjacent/hypotenuse, we can substitute the values:
cos(45°) = x/(x√2) = 1/√2
Simplifying further, we rationalize the denominator:
cos(45°) = 1/√2 * √2/√2 = √2/2
Therefore, the value of cos(45°) is √2/2.
The correct answer choice is D. √2.
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The radius of a circle is 3.9 in. Find the circumference to the nearest tenth.
Answer:
24.5
Step-by-step explanation:
if 6 pipes fill a tank in 120 minutes, then 5 pipes can fill it in how many minutes
Answer:
It'll take 144 minutes for 5 pipes.
Step-by-step explanation:
\({ \sf{6 \: pipes = 120 \: mins}} \\ { \sf{5 \: pipes = ( \frac{6}{5} \times 120) \: mins}} \\ \\ = { \sf{144 \: mins}}\)
but practically, it seems to be abnormal. if 6 pipes take 120 mins, 5 pipes must takes a time greater than 120 mins cause amount of water flowing to the tank is decreasing.
But there is a possibility that pressure of water was increased for the case of five pipes, that's why it takes a time less than 120 mins. (t < 120)
Answer:
144 minutes
Step-by-step explanation:
here we use inverse proportion because the more pipes there are the less time is needed
the formula for inverse proportion is y = k/x
first we need to find k which is the constant
if y is the number of minutes and x is the number of pipes we can substitute these into the formula like so: 120 = k/6
to find k rearrange the formula to get k = 6 * 120 = 720
now that we have k we can substitute 720 (k) and 5 (x) into y = k/x
y = 720 / 5
y = 144
(y is the number of minutes in this case so the answer is 144 minutes)
1.3.1 1.3.2 1.3.3 1.3.4 Government receives income from various sources, like tax and loans. This income is then distributed to the different sectors. TABLE 3 below shows the source of the income and the expenditure for the 2019/20 tax year. SOURCE Tax INCOME Loans ASC QP Other income Non-tax income AMOUNT (in billion rand) 1370 242.7 180.3 31.5 EXPENDITURE SECTOR Social Development Basic Education Health Peace and safety Economic development Community Development Debt service cost AMOUNT (in billion rand) Further Education and Training Other 278.4 262.4 222.6 211.0 209.2 208.5 202.2 APRIL 2021 112.7 B 1823.72 TOTAL A Write the amount received from loans as a number in millions (1) (3) (3) Calculate the missing value A Calculate the missing value B. Show ALL calculations. Determine the amount allocated for Community Development as a percentage of the total expenditure. (4)
The amount received from loans as a number in millions is 242,700 million rand.
How to calculate the valueDeducing value A requires computation of collective income sources, for which the following summation suffices:
Total Income = Tax + Loans + ASC + QP + Other income + Non-tax income = 1370 + 242.7 + 180.3 + 31.5 + A + 0 = 1825.5 + A
In this context, it follows that A amounts to (1825.5 - 1370 - 242.7 - 180.3 - 31.5) = 0 million rand.
Conversely determining missing value B necessitates subtraction of total expenditure from accumulated revenue, giving rise to the subsequent formula:
Total Income - Total Expenditure = B
(1825.5 - 112.7 - 278.4 - 262.4 - 222.6 - 211.0 - 209.2 - 208.5 - 202.2 - 0) = B
Following calculation, B equates to -77.1 million rand, indicating an overage in expenses during fiscal year 2019/20.
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please help me, i will mark the brainliest pls!
Answer:
YES
Step-by-step explanation:
The blanks would be (5 x 6) - (5 x 3) hope this helps :)
How do you find Exponential Decay Rate?
1+b
1-b
Answer:
Exponential decay is represented by the equation:
y = a * e^(-bx)
where:
y is the final value
a is the initial value
b is the decay rate
x is the time variable
The exponential decay rate, b, can be found by taking the natural logarithm (ln) of both sides of the equation, then rearranging to isolate the decay rate:
ln(y/a) = -bx
b = -ln(y/a)/x
So, to find the exponential decay rate, you would need to know the initial value (a), the final value (y), and the time elapsed (x). Then, you can use the formula above to calculate the decay rate, b.
The expressions "1+b" and "1-b" are not sufficient to find the exponential decay rate, as they do not contain enough information about the specific scenario or data set.
if this helps, can you please mark my answer brainliest?
a formula in the form y=mx+b models the cost, y, of four-year college x years after 2010. would you expect m to be positive, negative, or zero? explai your answer
we would expect m to be positive.
In this case, we're considering a formula of the form y = mx + b, where y represents the cost of a four-year college x years after 2010. The variable m represents the coefficient of x, which determines the slope of the line.
Since we're discussing the cost of college, it's reasonable to expect that it generally increases over time. Therefore, we would expect the coefficient m to be positive. A positive value of m indicates that as the number of years after 2010 increases (x), the cost of college (y) will also increase.
If m were negative, it would imply a decreasing cost over time, which is less likely for a four-year college. If m were zero, it would indicate that the cost remains constant regardless of the number of years after 2010, which is also unlikely given the rising trend in college costs.
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How long will it take Pablo to bike 81 miles if he is biking at a speed of 9 mph?
To find the time taken for Pablo to bike 81 m,iles at a speed of 9 mph, we will use the formula below:
\(\text{speed=}\frac{dis\tan ce}{\text{time}}\)From the question, speed = 9 distance=81
substitute the values into the formula and then solve for time
\(9=\frac{81}{\text{t}}\)Cross-multiply
\(9t\text{ = 81}\)Divide both-side of the equation by 9
\(t=9\text{hours}\)PLEASE HELP! I AM CRYING AND NEED HELP :'(
Answer:
9300
Step-by-step explanation:
To find the total surface are of 150 boxes, all we have to do is multiply the surface area of one box ( 62 which was calculated on this question https://brainly.com/question/23446865 ) by the total amount of boxes (150)
So your answer = 150 * 62 which equals 9300
The answer 7.7 provided by my teacher I need help with the work
The side length of the square, a=4.
An equilateral triangle has equal sides. Since the base of the triangle is one side of the square, we get
\(AB=BC=AC=4\)Since BQ⊥AC, BP is perpendicular to AC, and hence, BP is the altitude the equilateral triangle ABC.
The altitude BP of the equilateral triangle ABC is,
\(\begin{gathered} BP=\frac{\sqrt[]{3}}{2}a \\ BP=\frac{\sqrt[]{3}}{2}\times4 \\ BP=3.464 \\ \end{gathered}\)Also, since BQ⊥ED, BQ⊥AC and P is midpoint of AC, Q is midpoint of ED.
\(\begin{gathered} EQ=\frac{1}{2}ED=\frac{1}{2}a \\ EQ=\frac{1}{2}\times4 \\ EQ=2\text{ } \end{gathered}\)\(\begin{gathered} BQ=BP+PQ \\ BQ=3.464+4 \\ BQ=7.464 \end{gathered}\)Now using Pythagoras theorem in triangle BQE,
\(\begin{gathered} BE=\sqrt[]{BQ^2+EQ^2} \\ BE=\sqrt[]{(7.464)^2+2^2} \\ BE=7.7 \end{gathered}\)Therefore, BE=7.7.
i need help please and thanks
Answer:
Step-by-step explanation:
There are an infinite amount of possibilities with the solution of (4,1). As proof, plot the point (4,1) on a coordinate system. Then, draw straight lines that pass through that point. These lines can differ in slopes. They can be either be positive, negative, vertical, or horizontal.
x = 4
y = 1
x + y = 5
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4x+6y=<4 2x+y=8 I need help with this equation
Answer: x≥5.5 y≤-3
Step-by-step explanation:
\(\displaystyle\\\left \{ {{4x+6y\leq 4\ \ \ \ (1)} \atop {2x+y=8\ \ \ \ \ (2)}} \right\\\\\\\)
Divide both parts of the equation (1) by 2:
\(\displaystyle\\\left \{ {{2x+3y\leq 2} \atop {2x+y=8}} \right\\\\\\\)
1)
\(\displaystyle\\\left \{ {{2x+3y\leq 2\ \ \ \ (3)} \atop {2x=8-y\ \ \ \ \ (4)}} \right\\\\\\\)
Let us substitute the value of 2x into equation (3):
\(8-y+3y\leq 2\\\\8+2y\leq 2\\\\8+2y-8\leq 2-8\\\\2y\leq -6\)
Divide both parts of the equation by 2:
\(y\leq -3\)
2)
\(\displaystyle\\\left \{ {{2x+3y\leq 2\ \ \ \ (3)} \atop {y=8-2x\ \ \ \ \ (5)}} \right\\\\\\\)
Let us substitute the value of y into equation (3):
\(2x+3(8-2x)\leq 2\\\\2x+24-6x\leq 2\\\\24-4x\leq 2\\\\24-4x+4x\leq 2+4x\\\\24\leq 2+4x\\\\24-2\leq 2+4x-2\\\\22\leq 4x\)
Divide both parts of the equation by 4:
\(5.5\leq x\\\\Thus,\ x\geq 5.5\)
Football and Cognitive Percentile A recent study1 examined several variables on collegiate football players, including the variable Years, which is number of years playing football, and the variable Percentile, which gives percentile on a cognitive reaction test. The regression line for predicting Percentile from Years is: . 1Singh R, et al., "Relationship of Collegiate Football Experience and Concussion with Hippocampal Volume and Cognitive Outcomes", JAMA, 311(18), 2014. Data values are estimated from information in the paper. Predict the cognitive percentile for someone who has played football for 11 years and for someone who has played football for 17 years. Enter the exact answers.
Complete Question:
Football and Cognitive Percentile A recent study1 examined several variables on collegiate football players, including the variable Years, which is number of years playing football, and the variable Percentile, which gives percentile on a cognitive reaction test. The regression line for predicting Percentile from Years is:
Percentile = 102 - 3.34(years)
1Singh R, et al., "Relationship of Collegiate Football Experience and Concussion with Hippocampal Volume and Cognitive Outcomes", JAMA, 311(18), 2014. Data values are estimated from information in the paper. Predict the cognitive percentile for someone who has played football for 11 years and for someone who has played football for 17 years. Enter the exact answers.
Answer:
cognitive percentile for someone who has played football for 11 years = 65.26
cognitive percentile for someone who has played football for 17 years = 45.22
Step-by-step explanation:
This is a very straight forward question. The regression line for predicting percentile from the number of years has been explicitly given in the question as:
Percentile = 102 - 3.34(years)
Therefore,
the cognitive percentile for someone who has played football for 11 years will be calculated as:
Percentile = 102 - 3.34(11)
Percentile = 102 - 36.74
Percentile = 65.26
the cognitive percentile for someone who has played football for 17 years will be calculated as:
Percentile = 102 - 3.34(17)
Percentile = 102 - 56.78
Percentile = 45.22
a. Will he be able to make a right triangle with his fence? Why or why not?
Joel be not able to make a right triangle with his fence because the given dimensions are not satisfying for Pythagoras theorem.
What is Trigonometry?
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Dimensions of triangle he has to use for fencing are
15 feet, 8 feet, and 20 feet.
For making it a right triangle it must satisfy the "Pythagoras theorem" which states that
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
H²=B²+P²
20²=15²+18²
400=225+64
400≠289
No, it will not be able to make a right triangle.
Hence, Joel will be not able to make a right triangle with his fence because the given dimensions are not satisfying for pythagoras theorem.
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The complete question is given below:
Joel wants to fence off a triangular portion of his yard for his chickens. The three pieces of fencing he has to use are 15 feet, 8 feet, and 20 feet long.
1. Will he be able to make a right triangle out of his fence? Why or why not?
Find the lengh of AB
Jenny peddled her bike 30 miles in 40 minutes. If she traveled at the same speed, how far would she travel in 3 hours?
Answer:
Jenny cycles the grand distance of 29 and one third of a mile.
Step-by-step explanation:
I want to answer this using fractions and without multiplying by an awkward recurring decimal.
Cycling 11 miles in 45 minutes and continuing at the same speed means she will go 22 miles in 90 minutes
To scale up 90 mins to the required 120 mins (2 hours) multiply by 4/3.
22 x (4/3) = 88/3
Jenny will travel 88/3 miles in 2 hours.
Not happy with top heavy fractions?
Let's round up 88/3 to 90/3 by adding 2/3.
90/3 = 30 and to get back to the answer we just take away the two thirds we added when rounding up.
Jenny cycles the grand distance of 29 and one third of a mile.
I think that is the correct answer.
how many times does 255 go into 375
Answer: 1 time
255 times 1 is 255. 255 plus 255 is 505. So only goes into 375 once.
3/8 of the plants neede3/8 of the plants needed water. 63 plants need water. How many plants are there total?d water. 63 plants need water. How many plants are there total?
The total number of plants is given as follows:
168 plants.
How to obtain the total number of plants?The total number of plants is obtained applying the proportions in the context of this problem.
The variable that represents the total number of plants is given as follows:
n.
The fraction of the number of plants that needed water is given as follows:
3/8.
The fraction 3/8 of n is equivalent to an amount of 63, hence the total amount of plants is obtained as follows:
3n/8 = 63
3n = 63 x 8
n = 21 x 8(simplifying by 3).
n = 168 plants.
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five famous mathematics went out to eat. the bill was $52. the tax rate was 6%. calculate the tax.
If the bill was $52 and the tax rate is 6% then the total tax is equal to the 6% of $52. When we want to know the p% of a quantity Q we just need to multiply Q by p and divided by 100. Then the p% of Q is:
\(Q\cdot\frac{p}{100}\)If we apply this to our problem we get:
\(tax=52\cdot\frac{6}{100}=52\cdot0.06=3.12\)AnswerThen the answer is $3.12.
A type of green paint is made by mixing 2 cups of yellow with 3.5 cups of blue. a. Find a mixture that will make the same shade of green but a smaller amount. b. Find a mixture that will make the same shade of green but a larger amount. c. Find a mixture that will make the different shade of green that is bluer. d. Find a mixture that will make the different shade of green that is more yellow.
Answer:
Anything with 2 Yellow and more than 3.5 Blue
Step-by-step explanation:
The answer is pretty obvious, but I will give a more mathimatical explanation that is easy to understand. The ratio is saying that for every 2 units of yellow, there are 3.5 units of blue. You can find ratios that are the same but use more/ less amounts. So if you use 4 units of yellow and 7 of blue it is the same ratio.
If you multiply both parts of the ratio (or divide) by the same number you will always get the same ratio. So if you want something more blue (or yellow) you just have to keep one the same while increasing the one you want to have more effect.
What percent of 30 is 3?
Answer:
10%
Step-by-step explanation:
3/30 × 100 = 100
Therefore 3 is 10% of 30
3 is 10 percent of 30.
To determine what percent of 30 is 3, we can use the concept of finding a proportion or ratio.
The proportion can be set up as follows:
3 is what percent of 30?
Let x represent the unknown percentage.
Using the formula for finding the percentage, we can write:
x/100 = 3/30
To simplify the equation, we divide both sides by 3:
x/100 = 1/10
To isolate x, we multiply both sides by 100:
x = (1/10)100
Simplifying the expression, we have:
x = 10
Therefore, 3 is 10% of 30.
To understand this calculation, we can interpret it as follows: If we consider 30 as the whole or 100%, then 3 is a fraction of that whole. By dividing 3 by 30 and multiplying by 100, we find that 3 is equivalent to 10% of 30.
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Marcus is building a scale model of a skyscraper using the ratio 2:225. If the width of the skyscraper is 405 ft, what is the width of the model?
Answer:
3.6 ft
Step-by-step explanation:
225 x 2= 450 / 3= 3.6
What is the slope of a line perpendicular to the line y= - 2/3x + 1
A study was conducted of Long Beach School District schools regarding how
many require school uniforms. In 2006, of the 296 schools questioned, 184 said
they required school uniforms. (Gentile & Imberman, 2009) Find the proportion
of schools that require a school uniform.
The alternative hypothesis is Ha : μa ≠ μb Ha : μa - μb ≠ 0
Since they want to find out if the difference in the mean times spent studying by the students of the two schools is statistically significant, it means that it is a two directional test. Also called a two tailed test. The hypothesis would be as follows:
Null Hypothesis: There is no difference in the mean times spent by the schools' students.
Alternative Hypothesis: There is at least some difference in the mean times spent by the schools' students.
By using the appropriate symbols, it becomes
The null hypothesis is
H0 : μa = μb H0 : μa - μb = 0
The alternative hypothesis is
Ha : μa ≠ μb Ha : μa - μb ≠ 0
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Which graph has a slope of 4/5
Answer: whichever graph that goes up 4 and over 5
Step-by-step explanation:
rise over run, 4 up, 5 right
to find it just look at two points on the line and count how many up and how many horizontal units there are between them :)
Calculate the range, population variance, and population standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data.
10,20,11,17,15,8,7,16,19,15
The range from the given table is 9, the population variance is 18.56, and the population standard deviation is 4.30.
Given the value:
xi 10 20 11 17 15 8 7 16 19 15 Total = 138
xi^2 100 400 121 289 225 64 49 256 361 225 Total = 2090
From the above, we get
n =10, ∑xi = 138, ∑xi^2 = 2090
(a) For the range:
Here, the smallest value = 10, and largest value = 19
Therefore, Range = Largest value - Smallest value
Range = 19 - 10 = 9
(b) For population variance:
For mean:
Mean of x = ∑xi/n = 138/10 = 13.8
V (X) = ∑(xi^2)/n - Mean of x^2
= 2090/10 - 13.8^2
= 209 - 190.44
V (X) = 18.56
(c) For population standard deviation:
\(SD (X) = \sqrt{VAR(X)}\)
SD(X) = \(\sqrt{18.56}\)
SD(X) = 4.30
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Step-by-step explanation:
The range from the given table is 9, the population variance is 18.56, and the population standard deviation is 4.30.
Given the value:
xi 10 20 11 17 15 8 7 16 19 15 Total = 138
xi^2 100 400 121 289 225 64 49 256 361 225 Total = 2090
From the above, we get
n =10, ∑xi = 138, ∑xi^2 = 2090
(a) For the range:
Here, the smallest value = 10, and largest value = 19
Therefore, Range = Largest value - Smallest value
Range = 19 - 10 = 9
(b) For population variance:
For mean:
Mean of x = ∑xi/n = 138/10 = 13.8
V (X) = ∑(xi^2)/n - Mean of x^2
= 2090/10 - 13.8^2
= 209 - 190.44
V (X) = 18.56
(c) For population standard deviation:
SD (X) = \sqrt{VAR(X)}SD(X)=
VAR(X)
SD(X) = \sqrt{18.56}
18.56
SD(X) = 4.30
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