Answer:
question 1: attached below
question 2: DE^2 + EF^2 = DF^2
Step-by-step explanation:
question 2:
Pythagoras Theorem is,
a^2 + b^2 = c^2 so
DE^2 + EF^2 = DF^2
you were right !
question 3:
I don't see anything wrong here either
Answer:
Part A
Please see the attached drawings.
Part B
Pythagoras' Theorem: a² + b² = c²
applicable to a right triangle, where:
a and b are the legsc is the hypotenuse (longest side opposite the right angle)Therefore,
a = DEb = EFc = DF⇒ DE² + EF² = DF²
Part C
As you have not given the options for each drop down selection, it is difficult to determine if you have selected the correct option for each. There may be more correct/appropriate answers to some of the options you have selected.
What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8
The mean absolute deviation is 0.75
How to determine the mean absolute deviationTo calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set
From the information given, we have that the data set is;
8 9 9 7 8 6 9 8
Let's calculate the mean, we get;
Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8
Mean = 64 / 8
Divide the values
Mean = 8
Let's determine the absolute difference, we get;
Absolute differences=
|8 - 8| = 0
|9 - 8| = 1
|9 - 8| = 1
|7 - 8| = 1
|8 - 8| = 0
|6 - 8| = 2
|9 - 8| = 1
|8 - 8| = 0
Find the mean of the absolute differences:
Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8
Absolute difference = 6 / 8 = 0.75
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If you roll a 6- sided die, what is the probability of getting a 5?
Answer:
1/6 or 16.6666666666666%
1. The President is hoisting the flag, but the line has gotten stuck. A
Hardy wants to fix it. He used a 15m ladder and placed it 9m away
base of flag pole. Find the height of flag.
Answer:
the height of the flag = 12cm
Step-by-step explanation:
inclide ladder length = 15m (hypotenuse)
distance between ladder foot and flag foot= 9m (base)
according to Pythagoras theorem,
(h)^2 = (p)^2 + (b)^2
(15)^2 = (p)^2 + (9)^2
(p)^2 = (15)^2 - (9)^2
(p)^2 = 225-81
p = √144
p= 12 cm
George lost 12 1/4 kilograms on his diet. How
many grams did he lose?
Answer: 12250 Grams
Step-by-step explanation:
1 Kilogram = 1000 grams.
12 Kilograms x 1000 Grams = 12000 Grams.
1/4 = 0.25
0.25 Kilograms x 100 Grams = 250 Grams
12000 + 250 = 12250.
Answer: 12250 Grams.
A pair of dice is rolled. What is the probability of getting a sum of 2?
Answer:
1/36
Step-by-step explanation:
1/6 * 1/6
A school is arranging a field trip to the zoo. The school spends 634.24 dollars on passes for 30 students and 2 teachers. The school also spends 256.20 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?
Therefore, the school spent $28.36 on a pass and lunch for each student.
What is cost?The term "cost" typically refers to the amount of resources, usually money, time, or effort, that is required to produce or obtain something. It is the expense incurred in order to achieve a particular goal or outcome.
cost can be further classified into different types, such as fixed costs (expenses that do not change regardless of the level of production), variable costs (expenses that change depending on the level of production), and opportunity costs (the cost of the next best alternative that is forgone when choosing a particular course of action).
First, we need to find the total number of people who need passes for the zoo.
30 students + 2 teachers = 32 people in total
The cost of the passes for 32 people is $634.24, so the cost per person is:
$634.24 ÷ 32 = $19.82 per person
Next, we need to find the cost of lunch per student. We know that the school spent $256.20 on lunch for just the students, so:
$256.20 ÷ 30 students = $8.54 per student
Finally, we can add the cost of the pass and the cost of lunch together to find the total cost per student:
$19.82 (pass) + $8.54 (lunch) = $28.36
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Tom counted a total of 45 birds and squirrels at the park. There were 4 times as many birds as squirrels. How many birds did Tom count?
Answer:
9 squirrels and 36 birds
Step-by-step explanation:
4x+x=45
5x=45
x=9
4*9=36
I really need help so please help me ASAP!!!! There are a lot of pages so please help me with as much problems as you can I already did the first few questions but I got stuck and cant seem to figure out any other answers. Again I need help ASAP!!!!!!!
You have completed the first three parts correctly. Nothing to add from my side.
Part 4It asks about the coin value formula\(V(t) =P(1+r)^t\)Here is explanation of each element of the formulaV(t) - value of the coin after t years;P - initial value of the coin, this is constant and doesn't change over time. It is P = 25 for Coin A and P = 40 for Coin B;(1 + r) - the base of the function. This is 1.07 for Coin A and 1.05 for coin B;t - is the variable, exponent, represents the number of years passed.y = x - 4
y = 4x + 2
x=
y =
Answer:
(-3/2, -11/2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = x - 4
y = 4x + 2
Step 2: Solve for x
Substitution
Substitute in y: x - 4 = 4x + 2Isolate x terms: -4 = 4x + 2Isolate x term: -6 = 4xIsolate x: -3/2 = xRewrite: x = -3/2Step 3: Solve for y
Define equation: y = x - 4Substitute in x: y = -3/2 - 4Subtract: y = -11/2Answer by Khan Academy:
x=−2
y=−6
Hope This Helped Everyone
Step-by-step explanation:
ANY HELP WITH THIS QUESTION CHOICE . y
Answer:
D) -6 meters per minute
Step-by-step explanation:
\(\mathsf{rate \ of \ change =\dfrac{change \ in \ y}{change \ in \ x}}\)
\(\implies \mathsf{rate \ of \ change =\dfrac{250-280}{5-0}=-6 \ meters \ per \ minute}\)
\(↬rate \: of \: change = \frac{change \: in \: y }{change \: in \: x}\)
\(↬rate \: of \: change = \frac{250 - 280}{5-0} = -6 \: meters \: per \: minute \)
Answer :- \(\small\bold\red{-6 \: meters \: per \: minute}\)
A tank is full of water. Find the work (in ft-lb) required to pump the water out of the spout. Use the fact that water weighs 62.5 lb/ft3. (Round your answer to the nearest whole number.) 3 ft6 ft12 ft A frustum of a cone with a spout is given. The smaller radius is 3 ft, the larger radius is 6 ft, and the height is 12 ft.
The work required to pump the water out of the spout is approximately 64,307,077 ft-lb
To find the work required to pump the water out of the spout, we need to calculate the weight of the water in the tank and then convert it to work using the formula: work = force × distance.
First, let's calculate the volume of water in the tank. The frustum of a cone can be represented by the formula: V = (1/3)πh(r1² + r2² + r1r2), where r1 and r2 are the radii of the two bases and h is the height.
Given r1 = 3 ft, r2 = 6 ft, and h = 12 ft, we can calculate the volume:
V = (1/3)π(12)(9 + 36 + 18) = 270π ft³
Now, we can calculate the weight of the water using the density of water:
Weight = density × volume = 62.5 lb/ft³ × 270π ft³ ≈ 53125π lb
Next, we convert the weight to force by multiplying it by the acceleration due to gravity (32.2 ft/s²):
Force = Weight × acceleration due to gravity = 53125π lb × 32.2 ft/s² ≈ 1709125π lb·ft/s²
Finally, we can calculate the work by multiplying the force by the distance. Since the water is being pumped out of the spout, the distance is equal to the height of the frustum, which is 12 ft:
Work = Force × distance = 1709125π lb·ft/s² × 12 ft ≈ 20509500π lb·ft ≈ 64307077 lb·ft
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3 1/8 divided by (x - 4 7/28) = 17/18 + 1 5/6
(Key on how to write the mixed numbers: Three is a whole number and then the fraction is 1/8, 4 is the whole number and 7/28 is the fraction, 1 is the whole number and 5/6 is the fraction)
Please provide the work and the answer! :)
x = 301/56
Algebraic expressionsAlgebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.
Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.
For example, d + d = 2d
This is an example of an algebraic expression
Given the algebraic expression,
\(3\frac{1}{8} \div (x - 4 \frac{7}{28} ) = \frac{17}{18} + 1 \frac{5}{6} \)
Step 1:
Simplify the expression by converting the mixed numbers into improper fractions:
25/8 ÷ ( x - 119/28) = 17/18 + 11/6
Step 2: Simplify the right side of the equation
25/8 ÷( x - 119/28) = 17/18 + 33/18
25/8 ÷( x - 119/28) = 50/18
Step 3: Multiply both sides of the equation by (x - 119/28)
25/8 = 50/18 × (x - 119/28)
Step 4: Multiply both sides of the equation by (18/50)
25/8 × (18/50) = (x - 119/28)
Step 5: Simplify the left side of the equation
9/8 = (x - 119/28)
Step 6: Add 119/28 to both sides of the equation
9/8 + 119/28 = x
Step 7: Calculate the value of x:
x = 9/8 + 119/28
= 63/56 + 238/56
= 301/56
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Calcular los 3/5 de los 2/3 de las 3/4 de 560
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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A baseball player hits a home run. A spectator observes the trajectory of the ball and expresses the height of the ball using the equation s(t)= -(t-15) + 225. Calculate the instantaneous velocity of the ball at t=4 seconds where the distance is measured in meters.
A. 44 m/sec
B. 30 m/sec
C. 26 m/sec
D. 22 m/sec
Answer:
The appropriate solution is Option D (22 m/sec).
Step-by-step explanation:
The given equation is:
\(s(t)= -(t-15)^2 + 225\)
Now,
The instantaneous velocity at t = 4 will be:
= \([-2(t-15)(1)+0]\)
= \(-2(4-15)\)
= \(-2\times (-11)\)
= \(22 \ m/sec\)
Thus, the above is the correct option.
can you please solve this its urgent
Step-by-step explanation:
Think we can get a better picture, maybe more light? I wouldn't mind helping if you can
Which of the following represents a function?
a.(5, 1), (5, 2), (5, 3), (5, 4)
b.(2, 3), (4, 3), (-2, -3), (-4, -3)
c.(3, 4), (-3, 2), (3, 8), (5, 5)
d.(-1, 2), (-2, 1), (-1, -2), (-2, -1)
The following are the annual salaries of 15 chief executive officers of major companies. (The salaries are written in thousands of dollars.)
157, 700, 1250, 767, 381, 495, 248, 75, 586, 224, 723, 472, 743, 676, 271
Required:
Find 25th and 70th percentiles for these salaries.
Answer:
The 25th percentile is 248.
The 70th percentile is 700.
Step-by-step explanation:
The pth percentile is a data value such that at least p% of the data-set is less-than or equal to this data value and at least (100-p)% of the data-set are more-than or equal to this data value.
Arrange the data set in ascending order as follows:
S = {75 , 157 , 224 , 248 , 271 , 381 , 472 , 495 , 586 , 676 , 700 , 723 , 743 , 767 , 1250}
The formula to compute the position of the pth percentile is:
\(p^{th} \text{Percentile}=\frac{(n+1)\cdot p}{100}\)
Compute the 25th percentile as follows:
\(25^{th} \text{Percentile}=\frac{(15+1)\cdot 25}{100}=4^{th}obs.\)
The 4th observation from the arranged data set is 248 .
Thus, the 25th percentile is 248.
Compute the 70th percentile as follows:
\(70^{th} \text{Percentile}=\frac{(15+1)\cdot 70}{100}\approx 11^{th}obs.\)
The 11th observation from the arranged data set is 700.
Thus, the 70th percentile is 700.
please help me with math i’ll give you brainlist
What is the measure of angle h?
A. 180
B. 27
C. 63
D. 117
Answer:
C (63) is the answer of this question
The measure of angle h is \(63^{0}\).
What is transversal of parallel lines?Parallel lines are lines that always stay the same distance apart and never meet. A transversal is a line that crosses two or more other lines.
Given
Two parallel lines
Both lines are parallel and there is a transversal
so, h = \(63^{0}\)(corresponding angles)
The measure of angle h is \(63^{0}\).
Hence option C is correct.
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A store is having a sale on jelly beans and almonds. For 3 pounds of jelly beans and 5 pounds of almonds, the total cost is $27. For 9 pounds of jelly beans and
7 pounds of almonds, the total cost is $51. Find the cost for each pound of jelly beans and each pound of almonds.
Cost for each pound of jelly beans:
Cost for each pound of almonds:
Answer:
Cost for each pound of jelly beans: $2.75
Cost for each pound of almonds: $3.75
Step-by-step explanation:
Let J be the cost of one pound of jelly beans.
Let A be the cost of one pound of almonds.
Using the given information, we can create a system of equations.
Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:
\(\implies 3J + 5A = 27\)
Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:
\(\implies 9J + 7A = 51\)
Therefore, the system of equations is:
\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)
To solve the system of equations, multiply the first equation by 3 to create a third equation:
\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)
\(9J+15A=81\)
Subtract the second equation from the third equation to eliminate the J term.
\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)
Solve the equation for A by dividing both sides by 8:
\(\dfrac{8A}{8}=\dfrac{30}{8}\)
\(A=3.75\)
Therefore, the cost of one pound of almonds is $3.75.
Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.
Using the first equation:
\(3J+5(3.75)=27\)
\(3J+18.75=27\)
\(3J+18.75-18/75=27-18.75\)
\(3J=8.25\)
\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)
\(J=2.75\)
Therefore, the cost of one pound of jelly beans is $2.75.
Solve the following system of inequalities graphically on the set of axes below. State the coordinates of a point in the solution set.y > x + 2y > - 2 x - 7
In order to determine a point that is part of the solution of the two given inequality, let's graph the two inequalities.
For both inequalities, they are already in a slope-intercept form y > mx + b where m = slope and b = the y-intercept.
For equation 1, y > x + 2, the y-intercept is 2 and slope is 1. Since the inequality is >, we will be using a broken line and the shade will be above the line.
The graph of inequality 1 is:
Moving on inequality 2, y > -2x - 7, the slope is -2 and the y-intercept is -7. Since the inequality symbol is >, we will be using a broken line on its border and the shade will be above the line.
The graph of inequality 2 is:
Combining the two graphs in one coordinate plane, we have:
The solution set of the given system of inequalities will be the common shaded area of both inequalities. There are infinite solutions for this.
We can get some coordinates from this common shaded area and this could be:
These coordinates can be (-3, 2), (-4, 3), (-2, 4), or (-2, 2).
We can also infer from the graph that the value of x is infinite however, the value of y must be greater than -1.
whats the steps when solving 40-:8+3^(2)+(15-7)*2
Answer:
Step-by-step explanation:
Assuming the colon between 40 and 8 is a mistype...
PEMDAS(Parenthesis, Exponents, Multiplication + Division, Addition + Subtraction)
\(40-8+3^2+(15-7)*2\\\\Parenthesis\\\\40-8+3^2+8*2\\\\Exponents\\\\40-8+9+8*2\\\\Multiplication\\\\40-8+9+16\\\\Subtraction\\\\32+9+16\\\\Addition\\\\41+16\\\\Addition\\\\57\)
Hope it helps <3
━━━━━━━☆☆━━━━━━━
▹ Answer
57
▹ Step-by-Step Explanation
You need to follow PEMDAS:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
40 - 8 + 3² + (15 - 7)* 2
40 - 8 + 9 + (15 - 7) * 2
40 - 8 + 9 + 8 * 2
40 - 8 + 9 + 16
= 57
Hope this helps!
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Muffins sell 3 for $1.25. About how much will a dozen cost?
Answer:
$5?
Step-by-step explanation:
3 x 4=12
12 is a dosen
1.25 x 4=5
Answer:
$5
Step-by-step explanation:
About $5 because there is 12 in a dozen, and since your selling three muffins for $1.25, you multiple 1.25 x 4. Then you get $5 as your answer.
I need help with this problem 8+42÷6(×5+6)
The solution to the problem 8+42÷6(×5+6) is 85. this equation can be simplified to get the required answer.
what is equation ?
An equation is a mathematical statement that uses an equal sign (=) to show that two expressions are equal. It consists of two sides, the left-hand side and the right-hand side, separated by an equal sign. Each side can contain variables, constants, operators, and functions.
In the given question,
To solve the problem, you need to follow the order of operations (also known as PEMDAS) which stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction, and evaluate the expression from left to right:
Start with the parentheses:
5 + 6 = 11
Replace the parentheses with 11:
8 + 42 ÷ 6 × 11
Next, perform the division and multiplication from left to right:
42 ÷ 6 = 7
7 × 11 = 77
Replace the division and multiplication with 77:
8 + 77
Finally, perform the addition:
8 + 77 = 85
Therefore, the solution to the problem 8+42÷6(×5+6) is 85.
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what is -6.77626358E-21 written in scientific notion with three significant digits
Answer:
-6.78 x 10^-21
Step-by-step explanation:
-6.77626358E-21
= -6.78 x 10^-21
Solve for x
A) 12
B) 13
C) 10
D) 11
Answer: A)12
Step-by-step explanation:
The line YZ must be half the size of the line QS, so double the length of YZ should be equivalent to the value of QS
2(x+2)=2x+4
Now we can set them equal to each other and solve for x
\(2x+4=3x-8\\2x+4+8=3x-8+8\\2x+12=3x\\2x-2x+12=3x-2x\\12=x\)
i need help asap
than you!
The highest height for the daily rainfall were for 5 and 6 inches
How to Interpret Dot Plots?Dot plots are used to present data in the form of points or small circles. It is similar to a simplified histogram or bar graph in that the height of the bar made up of points represents the numerical value of each variable. Dot plots are used to represent small amounts of data.
From the given dot plot, we see the number of times for each height of rainfall.
Thus, we see that the highest number of times of rainfall height was from that of 5 and 6 inches.
Thus, we conclude those were the highest heights for the daily rainfall.
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from the given graph: state it's
a) amplitude
b) period
c) function of the graph:
Step-by-step explanation:
The amplitude is 2. Amplitude means height from the x-axis to the crest/trough.
The period is 2pi. It is from crest to crest (next crest) or trough to trough (next trough).
Note that crest are the highest points of a wave, and that troughs are the lowest points of a wave. (we are talking about transverse waves, but this is more of a physics thing).
Function of graph:
By playing around in a graphing calculator, I got the equation to be
2 (cos (x + pi/2)).
the 2 changes the amplitude, and the + pi/2 shifts the graph by pi/2 to the left.
A 799.99 television is selling for 13% off. Find the final price of the television if the sales tax is 6%
9. Jack recorded the number of different colored marbles he has in a pouch. The results are provided in the table below. Color blue 5 brown 4 green. 3 orange 5 red 4 yellow 4 Part B. Jack has another jar of 275 marbles that have the same distribution as the table above. Based on the information in the table, determine the number of yellow marbles
Based on the information provided in the table, Jack has 4h yellow marbles.
To determine the number of yellow marbles in the jar of 275 marbles, we can use the information from the table to find the proportion of yellow marbles in the first pouch.
According to the table, there are 4 yellow marbles out of a total of 25 marbles in the first pouch.
Therefore, the proportion of yellow marbles in the first pouch is 4/25.
To find the number of yellow marbles in the jar of 275 marbles, we can multiply this proportion by the total number of marbles in the jar.
Number of yellow marbles = (4/25) x 275 = 44
Therefore, there are 44 yellow marbles in the jar of 275 marbles.
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