Answer: Exact Form:
11/72
Decimal Form:
0.1527 repeating
Step-by-step explanation:
6 x 12 and 1 x 11
Expression
9x - 2 + 16x + 8 - x + 10
What are the coefficients in this expression?
The coefficients in the expression "9x - 2 + 16x + 8 - x + 10" are the numerical values that multiply the variables. In this expression, the coefficients are 9, -2, 16, 8, -1, and 10.
So, the expression can be written as:
9x + 16x - x + 10 = 24x + 10
where 9, -2, 16, 8, -1, and 10 are the coefficients of the expression.
Answer:
The coefficients in this expression would be 10, -2, 8, -1, 10, 9, 16
Step-by-step explanation:
a numerical or constant quantity placed before and multiplying the variable in an algebraic expression
The accompanying table shows the results of a survey in which 250 mail and 250 female workers ages 25 to 64 or asked if they contribute to retirement savings plan at work find the probability that a randomly selected worker contribute to a retirement savings plan at work given the worker is male
Answer:
The answer to your question is, 0.484
Step-by-step explanation:
The actual chances of an event occurring are defined by a probability. Probability has several uses in games, and in business to create probability-based forecasts which bascially how it works.
Lets graph it out:
Let A signify that the selected employee participates to a workplace retirement savings plan. Let P stand for the male employes.
P(A∩P) the intersection of male & female.
P(A\P) is the probability that a randomly picked worker participates to a workplace retirement savings plan is the option male
The probability that a randomly selected worker contributes to a retirement savings plan at work is male is found in this formula :
P(A\P)=P(A∩P)/A(P)
P(A\P)=(121/500)/(250/500)
P(A\P)=0.484
Thus, the probability that a randomly selected worker contributes to a retirement savings plan at work that is male will be,
0.484.
20. A line passes through (4, 6) and (9, 9).
a. Write an equation for the line in slope-intercept
form.
y=3/5x+18/5?
b. Rewrite the equation in standard form using
integers.
Its 10/29 so its answers this
help me with this please i need help because i dont get it <33
Answer:
C
Step-by-step explanation:
consider the coordinates of the same points on both figures
top left vertex of figure P (- 8, 8 )
top left vertex of figure Q (- 4, 4 )
note that both coordinates from Q are half the coordinates of P
then to obtain Q from P multiply each coordinate by [tex]\frac{1}{2}[/tex] , that is
(x, y ) → ([tex]\frac{1}{2}[/tex] x , [tex]\frac{1}{2}[/tex] y )
3/4 minus what equals 1/2
Answer:
W =1 1/4Step-by-step explanation: Let W = what. W - 1/2 = 3/4. Add 1/2 to each side. W -1/2 +1/2 = 3/4+1/2. W = 3/4+1/2.
Step-by-step explanation:
Graphing Quadratic Functions 1. List a, b, and c. 4. What is the y-intercept? 5. Create a table and graph. X f(x) Quadratic Function f(x) = x² - 2x + 6 2. Find the axis of symmetry. F Y 10 9 8 7 6 5 4 3 2 1 -9-8-7-6-5-4-3 -2 -1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 3. Find the vertex. tx 1 2 3 4 5 6 7 8 9 10 X
The value of a, b, and c are 1, -2, and 6 respectively.
The y-intercept of this quadratic function is 6.
The axis of symmetry of this quadratic function is 1.
The vertex of this quadratic function is (1, 5).
How to calculate the axis of symmetry of a quadratic function?Mathematically, the axis of symmetry of a quadratic function can be calculated by using this mathematical expression:
Axis of symmetry, Xmax = -b/2a
Where:
a and b represents the coefficients of the first and second term in the quadratic function.
For the given quadratic function f(x) = x² - 2x + 6, we have:
Axis of symmetry, Xmax = -b/2a
Axis of symmetry, Xmax = -(-2)/2(1)
Axis of symmetry, Xmax = 2/2 = 1.
Vertex (h, k) = (1, 5).
In Mathematics, the y-intercept of any graph such as a quadratic function, generally occur at the point where the value of "x" is equal to zero (x = 0).
y-intercept = 6.
Lastly, we would create a table and then graph the quadratic function as follows;
x y
0 6
2 2
5 11
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For the function
f(x)
given in the table, find the average rate of change over each specified interval.
x
0 2 2.5 3 3.8 4 5
f(x)
24 13 17 18 16 13 29
(a) [2, 5]
Incorrect: Your answer is incorrect.
(b) [3.8, 4]
The average rate of change over each specified interval is 8/3 and -10.
What is an average rate?The average rate shows the change in the function per unit, over an interval.
Given that, find the average rate of change over each specified interval.
The average rate of change is given by
f(b)-f(a) / b-a
a) [2, 5] :-
To find the average rate of change we will take the change in the function over the change in x,
f(5)-f(2) / 5-2 = 24-16 / 3 = 8/3
Therefore, the average rate of change in interval [2, 5] is 8/3
b) [3.8, 4] :-
Similarly,
f(4)-f(3.8) / 4-3.8 = 17-19 / 0.2 = -2/0.2
= -10
Therefore, the average rate of change in interval [3.8, 4] is -10
Hence, the average rate of change over each specified interval is 8/3 and -10.
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Arturo purchased the tank below for his aquatic turtle. The tank has a length of 5.5 feet, a width of 4 feet, and a height of h feet. Arturo poured in 74.8 cubic feet of water in the tank to fill it half way. What is the value of h, the height of the tank, in feet?
Answer:
6.8 ft
Step-by-step explanation:
You want the height of a tank with a base of 5.5 ft by 4 ft if adding 74.8 ft³ of water fills it halfway.
VolumeThe volume of a rectangular prism is given by the formula ...
V = LWH
The filled volume of the tank h feet high is ...
74.8 ft³ = (5.5 ft)(4 ft)(h/2) . . . . . . the filled height is h/2
74.8 ft³/(11 ft²) = h ≈ 6.8 ft . . . . . . divide by the coefficient of h
The height of the tank is 6.8 feet.
The radius of a circle is 14 meters. What is the circle's circumference?
Answer: 87.96m
Step-by-step explanation:
Circumference of a circle = 2[tex]\pi[/tex][tex]r^{2}[/tex] --> 2[tex]\pi[/tex]14² = 87.96m
What should be added to -7 mm + 2m ²+ 3n² to obtain 5m² +2mn-9n².
The expression to be added is 9mn +3m² - 12n²
What are algebraic expressions?These are expressions having terms, variables, coefficients, factors and constants.
They are also known to be composed of arithmetic operations, such as;
AdditionMultiplicationDivisionSubstraction BracketParenthesesFrom the information given, we have the expression;
-7 mm + 2m ²+ 3n²
To make it up to 5m² +2mn-9n²., we have
-7mn + 9mn + 2m² + 3m² + 3n² - 12n²
Hence, the expression is 9mn +3m² - 12n²
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The vet says that raise puppy will grow to be at most 28 inches tall raise. Puppy is currently 1 foot tall how much more will the puppy grow?
Write an inequality to solve the problem
Answer:
16 inches
Step-by-step explanation:
28 - 12 = 16 inches
1 foot = 12 inches
What is the rate of change for the equation y= 4x +40?
Answer:
4 would be the rate of change
Step-by-step explanation:
y=mx+b mx = slope
The slope represents the rate of change. Then the rate of change will be 4.
An urn contains 3 white balls and 7 red balls. A second urn contains 7 white balls and 3 red balls. An urn is selected, and the probability of selecting the first urn is 0.3. A ball is drawn from the selected urn and replaced. Then another ball is drawn and replaced from the same urn. If both balls are white, what are the following probabilities? (Round your answers to three decimal places.)
Answer: the probability of selecting the first urn and then drawing two white balls from the first urn is 0.027.
Step-by-step explanation:
Let's call the event of selecting the first urn "A" and the event of drawing two white balls from the selected urn "B". The probability we want to find is P(A and B), which can be found using the formula for the intersection of two events:
P(A and B) = P(A) * P(B|A)
where P(B|A) is the probability of drawing two white balls from the first urn given that the first urn was selected.
First, let's find P(A):
P(A) = 0.3
Next, let's find P(B|A):
P(B|A) = (3/10) * (3/10) = 9/100
Finally, let's find P(A and B):
P(A and B) = P(A) * P(B|A) = 0.3 * 9/100 = 0.027
So the probability of selecting the first urn and then drawing two white balls from the first urn is 0.027.
A boat heading out to sea starts out at Point A, at a horizontal distance of 1246 feet
from a lighthouse/the shore. From that point, the boat's crew measures the angle of
elevation to the lighthouse's beacon-light from that point to be 14°. At some later
time, the crew measures the angle of elevation from point B to be 5°. Find the
distance from point A to point B. Round your answer to the nearest tenth of a foot if
necessary.
Answer:2304.9
Step-by-step explanation:
Answer:
2304.9 ft
Step-by-step explanation:
You want the distance from point A, which is 1246 ft horizontally from a lighthouse to point B, given the angles of elevation to the light are 14° and 5° from points A and B, respectively.
TangentThe tangent relation for sides in a right triangle is ...
Tan = Opposite/Adjacent
In a model of this geometry, the height (h) of the lighthouse is the side opposite the angle of elevation. This lets us write two equations:
tan(14°) = h/1246
tan(5°) = h/(1246 +d) . . . . . where d is the distance from A to B
SolutionSolving these equations for d, we have ...
h = 1246·tan(14°) = (1246+d)·tan(5°)
d·tan(5°) = 1246·(tan(14°) -tan(5°))
d = 1246·(tan(14°)/tan(5°) -1) ≈ 2304.9 . . . . feet
The distance from point A to point B is about 2304.9 feet.
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at a movie theater, tickets cost 15$ for adults and 8$ for children. a group of 28 movie goers cost 308$. how many adults and how many children are in the group?
The number of adult and children in the group is given as follows:
Adult: 12.Children: 16.How to obtain the amounts?The amounts are obtained by a system of equations, for which the variables are given as follows:
Variable x: number of adults.Variable y: number of children.There were a total of 28 people, hence:
x + y = 28
y = 28 - x.
They spent a total of $308, hence:
15x + 8y = 308.
Replacing the second equation into the first, the value of x is given as follows:
15x + 8(28 - x) = 308
7x = 84
x = 84/7
x = 12.
Then the value of y is given as follows:
y = 28 - x = 28 - 12 = 16.
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If possible factor. Find LCD. Multiply both sides by LCD. Solve show all work.
The lowest common denominator of the fraction is 6
What is LCDThe lowest common denominator (LCD) is the smallest common multiple of the denominators of a set of fractions. It is used to add or subtract fractions with different denominators.
The LCD of a set of fractions is the smallest number that is divisible by all the denominators in the set. When all the denominators are divided into the LCD, each fraction has an equivalent fraction with the same value and a denominator equal to the LCD.
In the fraction given;
x / 3 + x / 2 = 20
The lowest common denominator is 6
Using 6, we can divide through each of the fraction.
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Use the commutative and/or associative properties to simplify (17)(0.25)(4).
The solution is, (17)(0.25)(4) = 17.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
given that,
(17)(0.25)(4)
=(17)*1
=17
at first we have to multiply the last two terms i.e. (0.25) and (4), then, we multiply the result 1 with 17, and get the result 17.
Hence, The solution is, (17)(0.25)(4) = 17.
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Help with these questions pls?
Answer:
£76
Step-by-step explanation:
[tex]28+16(1.5/0.5)=28+16(3)=28+48=76[/tex]
The following data represent the weights (in grams) of a
random sample of 50 candies
(a) Determine the sample standard deviation weight
SH gram
(Round to two decimal places as needed)
0.98
0.85
0.92
0.98
0.71
Part 1 of 6
0.88
0.86
0.75
0.85
0.85
0.86
0.78
0.75
0.75
0.74
Cm
0.82
0.85
0.91
0.78
0.72
O
081
0.81
0.81
0.81
0.84
Points: 0 of 4
087
0.85
0.89
0.77
0.85
0.97
0.74
0.89
0.82
0.86
0.82
084
0.91
0.87
0.94
0.85
0.71
0.83
0.87
0.94
0.81
0.81
0.78
0.77
0.85
The sample standard deviation weight of the 50 candies is, 0.07 grams.
What is standard deviation ?The amount of variation or dispersion in a set of data values is measured by standard deviation. A statistical calculation is used to determine how far the values vary from the mean (average) value. While a high standard deviation suggests that the data values are more dispersed, a low standard deviation suggests that the data values tend to be close to the mean.
To find the sample standard deviation weight,
we can use the formula:
[tex]s = \sqrt{((1/(n-1))} \sum((x - \bar x)^{2} ))[/tex]
where n is the sample size, x is the weight of each candy, [tex]\bar x[/tex] is the sample mean weight, and sum() means to add up the values.
We can first find the sample mean weight:
[tex]\bar x[/tex]= (0.98 + 0.85 + 0.92 + 0.98 + 0.71 + 0.88 + 0.86 + 0.75 + 0.85 + 0.85 + 0.86 + 0.78 + 0.75 + 0.75 + 0.74 + 0.82 + 0.85 + 0.91 + 0.78 + 0.72 + 0.81 + 0.81 + 0.81 + 0.84 + 0.87 + 0.85 + 0.89 + 0.77 + 0.85 + 0.97 + 0.74 + 0.89 + 0.82 + 0.86 + 0.82 + 0.84 + 0.91 + 0.87 + 0.94 + 0.85 + 0.71 + 0.83 + 0.87 + 0.94 + 0.81 + 0.81 + 0.78 + 0.77 + 0.85) / 50
[tex]\bar x[/tex] = 0.8456
Next, we can calculate the sample standard deviation:
s = √((1/(50-1)) x ((0.98-0.8456)² + (0.85-0.8456)² + ... + (0.77-0.8456)² + (0.85-0.8456)²))
s = sqrt(0.0045916)
s = 0.0678
Rounding to two decimal places, the sample standard deviation weight is 0.07 grams.
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Five people will share a roll of ribbon equally. The roll has 32 feet of ribbon. How much ribbon, in feet, will each person get?
A. 5/32
B. 1/32
C. 6 2/5
D. 1/5
Answer:
C
Step-by-step explanation:
In this equation, you would need to do 32/5 to figure out how much each person will get. 32/5=6.4 feet
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Can you please tell me the graphing points for this equation?
y = 2^(x+5) +1
The graphing points of the equation is given in the table.
What is an equation?An equation is a statement that asserts the equality of two expressions, the expressions are written one on each side of an '=' equal to sign.
Given equation is [tex]y=2^{x+5} +1[/tex].
To find the graphing points of the functions:
By assuming the value for x and substitute in the given function to find the values of y.
[tex]if x=-2,y=2^{-2+5} +1=9\\ifx=-1, y=2^{-1+5} +1=17\\if x=0,y=2^{0+5} +1=33\\if x=1,y=2^{1+5} +1=65\\ifx=2,y=2^{2+5} +1=129[/tex]
It is given the table format as,
x [tex]y=2^{x+5} +1[/tex]
-2 9
-1 17
0 33
1 65
2 129
Hence, these are all the graphing points of the equation.
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Geometry!!! Please help due soon!!!!y
Step 1: 3 - 5 = √√4x + 6
Step 2: 3x - 5-6 = √4x+6-6
Step 3: 3x 11 = √/4x
Step 4: (3x - 11)² =(√4x)
What is the next step in the solution to this equation?
The next step in the solution to this equation is to evaluate the exponents
How to determine the next step in the solution to this equationFrom the question, we have the following parameters that can be used in our computation:
The steps 1 to 4
Using the above as a guide, we have the following:
Step 4: (3x - 11)² =(√4x)²
At this point,, we open the bracket
This is done by evaluating the exponents
So, we have
9x² - 66x + 121 = 4x
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Are square and rectangle similar
Answer:
no
Step-by-step explanation:
squares sides are all equal
rectangle only have 2 side alike
Help!!! Drag and drop an answer into each box to correctly complete the statement.
The correct answer for given dilation will be A and D i.e. Point P is midpoint of AA' and XY⊥AA'.
What precisely is dilation?
Dilation is the process of changing the size of an object or form by shrinking or extending its dimensions based on certain scale variables. For example, a circle with radius 10 unit is decreased to a circle with radius 5 unit. This method is used in photography, arts and crafts, and logo design, among other things. In geometry, there are four basic types of transformations. These are their names:
Properties of Rotation, Translation, Reflection, and Resizing
Dilation properties
The following are some features of shapes that remain constant with dilation changes:
The angles in the illustration are all the same.The figure's side midpoints remain the same as the dilated form's midpoint.The parallel and perpendicular lines in the illustration remain unchanged.Now,
As The image of A is made on line XY and the image will be A'
then XY⊥AA' because line formed between images is always perpendicular to the plane it is formed on and
P is the midpoint of AA' because we know that AP and A'P are same in a image formation.
Hence,
Point P is midpoint of AA' and XY⊥AA'.
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Rewrite in simplest terms: (5x + 5y) - (-x + 10y)
Answer:
6x - 5y
Step-by-step explanation:
( remove the unnecessary parentheses)
= 5x + 5y + x - 10y
= 6x + 5y - 10y
= 6x + 5y
a square law has area 128ft squared what is the radius of the circle
Answer: 6.38
.................
Please help me with this question
Answer:
m∠2=12°
Step-by-step explanation:
some of two angles is 90
90 -78=12
3. What is the volume of this complex figure?
3 m
4 m
6 m
4 m
7m
The volume of the rectangular prism is 140 cubic meters
What is the volume of the figureThe volume of a figure is a measure of the amount of space it occupies in three-dimensional space. It is a scalar quantity, meaning that it is a single numerical value with no direction.
The volume of a rectangular prism is given by the formula V = l * w * h, where l is the length, w is the width, and h is the height.
This problem is a two rectangular prism joined together.
The volume can be calculated as;
V = l * w * h
v = (4 * 7 * 3) + (2 * 7 * 4)
v = 140m³
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Wendy and Roger camped out at a state park, and then hiked back to their cars, which were
parked on opposite ends of the park. Wendy headed due north at 3 miles per hour, and Roger
hiked due south at 6 miles per hour. In how long were the two friends 2 miles apart?
If necessary, round your answer to the nearest minute.
In 30 minutes the two friends 2 miles apart.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
Given that, Wendy headed due north at 3 miles per hour, and Roger hiked due south at 6 miles per hour.
We know that, Time= Distance/Speed
Now, T₁= 2/3
T₂= 2/6 =1/3
T=T₁-T₂
T=2/3+1/3
T=1/3
T=0.33 hours
= 30 minutes
Therefore, in 30 minutes the two friends 2 miles apart.
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