Find the area and the circumference of a circle with radius 3 cm.
Write your answers in terms of it, and be sure to include the correct units in your answers.
1. Observe problem
Solve for the area and Circumference of a circle who's radius is 3 cm
Area for circle formula:
pi*r^2=
9pi
I simplicity is needed, 9 pi is around
28.2743338823cm^2
Circumference for circle formula: 2*pi*r
which is
6pi
if simplicity is again needed, its around
18.8495559215cm
What is the w
4w+3w=63
Answer:
7w=63
63÷7=9
so, (w=9)
Answer:
9
Step-by-step explanation:
3*9 = 27 4*9=36
36 + 27 = 63
Which statements are true? Select three options. Line A B and Line C G are parallel. Line A B and Line R S are parallel. Line C G and Line R S are perpendicular. Line A B and Line R S must intersect. Line segment C G lies in plane X. Line segment R S lies in plane X.
Answer:
Line A B and Line C G are parallel.
Line C G and Line R S are perpendicular
Line A B and Line R S must intersect
Line segment C G lies in plane X
Step-by-step explanation:
Given that Planes X and Y intersect at a right angle.
From the image attached, line AB and CG are on the same plane X while line RS is on plane Y. Hence, line CG lies on plane X.
Since both line AB and CG line on the same plane, this means that both lines are parallel to each other.
Since plane X and plane Y are perpendicular to each other and line CG is on plane X and line RS is on plane Y, this means that both Line C G and Line R S are perpendicular.
Also Since plane X and plane Y intersect and line AB is on plane X and line RS is on plane Y, this means that both Line C G and Line R S intersect with each other at right angle.
Answer:
A and are parallel.
C and are perpendicular.
E lies in plane X.
Step-by-step explanation:
ED22
hurry help fastttttttttttttt
Based on the table, what is the unit rate for one gallon of gasoline? Gasoline Number of gallons Price 2 $6.60 3 $9.90 4 $13.20 $3.30 $4.60 $5.60 $6.50
Answer:
answer a
Step-by-step explanation:
Answer:
It's A
Step-by-step explanation:
Just took the test
what is the range of ordered pairs shown in the graph?
I WILL MARK BRAINLIEST
The set that represents the range of the function given is -
{-2, 0, 3, 5}
What is range of a function?The range of a function is the complete set of all possible resulting values of the dependent variable (y), after we have substituted the domain.
Given is a graph as shown in the image.
For the given graph, the set of {y} coordinates represent the range of the function. So, the set that represents the range of the function given is -
{-2, 0, 3, 5}
Therefore, the set that represents the range of the function given is -
{-2, 0, 3, 5}
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Find the missing number in this proportion. 24/36= 8/?
Answer: i think the answer is 9
Step-by-step explanation:
K
Of the 2440 respondents to a survey. 1050 claimed to be worried about their health. What is the likelihood that a person selected at random will not be worried about their health? Round to two decimal places
OA. 2,562.00%
OB. 42.62%
OC. 43.03%
OD. 56.97%
The probability that a person selected at random will not be worried about their health is given as follows:
D. 56.97%
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.
For this problem, we have that out of 2440 people, 2440 - 1050 = 1390 were not worried about their health, hence the probability is obtained as follows:
p = 1390/2440
p = 56.97%.
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An Airplane uses the equation y=0.28x+24 to calculate the fare y, in dollars, for a trip of x miles. What is the fare for 500-mile trip?
The fare for a 500-mile trip is 164.
What is the fare for a 500-mile trip?The equation provided in the question is known as a linear equation. A linear equation is an equation that has a single variable that is raised to the power of one.
The general form of a linear equation is:
y = mx + b
Where:
m = slope b = interceptIn the equation used to calculate the fare, y=0.28x+24, 0.28 is the variable cost and 24 is the fixed cost.
Cost of a 500-mile trip = y=0.28(500) +24
y = 140 + 24
y = 164
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3.Clara and her family are vacationing in the Netherlands. They began a tour of the North Sea coastline at an elevation
of –8 feet. By the end of the tour, their elevation had decreased by 5 feet. What was their elevation at the end of
the tour?
Answer:
- 13 feet
...........
H(p)=p/5 + 15
What is the independent variable in this function
In the given function H(p) = p/5 + 15, the independent variable is "p" ,
The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.
It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.
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Please help me with question
The density of a certain material is such that it weighs 9 pounds per cubic foot of volume. Express this density in grams per quart. Round your answer to the nearest whole number.
We need to know conversion of units to solve the given problem. The density of the material in grams per quart is 136.35 grams per quart.
We have been given the density of a certain material in pounds per cubic foot of volume. The density is 9 pounds per cubic foot of volume. We need to convert pounds per cubic foot to grams per quart, we need to separately convert pounds to grams and convert cubic foot to quart. Since it is density so we need to divide the value of pound in gram by the value of one cubic foot in quart and multiply the density to this value to get the desired result.
1 pound=453.592 grams
1 cubic foot= 29.94 quart
9 pounds per cubic foot= 9x 453.592/29.94=136.35 grams per quart
Therefore the density of the material in grams per quart is 136.35 grams per quart.
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PLS HELP 50 POINTS!!
The line segment FG represent the volume of water decreases in Katherine's water bottle.
From the given graph, x-axis represents the distance from home (km) and the y-axis represents the volume (L).
The line segment FG represent the volume of water decreases in Katherine's water bottle, the line segment HI represent the volume of water increases in Katherine's water bottle and the line segment KL represents there is no change in water level.
Therefore, the line segment FG represent the volume of water decreases in Katherine's water bottle.
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i need help on this question for my math homework:))) please help!
A residential community was polling households to find out whether they wanted to get their TV signal from a satellite or cable. The results are shown in the Venn diagram.
A circle labeled satellite 55 overlaps a circle labeled cable 75. Overlap is labeled 12. 4-column table with 3 rows. First column has no label with entries satellite, not satellite, total. Second column is cable with entries blank, 51%, blank. Third column is not cable with entries a, b, blank. Fourth column is labeled total with entries blank, blank, 100%.
What are the values of a and b in the relative frequency table for the survey results? Round answers to the nearest percent.
a = 82%, b = 3%
a = 38%, b = 50%
a = 38%, b = 3%
a = 93%, b = 19
The correct answer is:
a = 43%
b = 88%
To determine the values of a and b in the relative frequency table, we need to analyze the information provided in the Venn diagram and the given table.
From the Venn diagram, we can gather the following information:
The circle labeled "satellite" has a value of 55.
The circle labeled "cable" has a value of 75.
The overlap between the two circles is labeled as 12.
Using this information, we can complete the table:
First column - "Satellite":
Entries: Satellite, Not satellite, Total
Total: 55 (as given in the Venn diagram)
Second column - "Cable":
Entries: Blank, 51%, Blank
To find the value for the "Cable" entry, we need to subtract the overlap (12) from the total number of cable users (75).
Cable: 75 - 12 = 63
Therefore, the entry becomes: Blank, 51%, Blank
Third column - "Not Cable":
Entries: a, b, Blank
To find the value for "a," we subtract the overlap (12) from the total number of satellite users (55).
a: 55 - 12 = 43
To find the value for "b," we subtract the overlap (12) from the total number of households (100).
b: 100 - 12 = 88
Therefore, the entries become: 43, 88, Blank
Fourth column - "Total":
Entries: Blank, Blank, 100%
The total number of households is given as 100% (as stated in the question).
Therefore, the values of a and b in the relative frequency table are:
a = 43% (rounded to the nearest percent)
b = 88% (rounded to the nearest percent)
Hence, the correct answer is:
a = 43%
b = 88%
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a(x+b)=g+3f
solve for x
please help<333
Answer a=3f+g/b+x
Step-by-step explanation:
Let's solve for a.
a(x+b)=g+3f
Step 1: Factor out variable a.
a(b+x)=3f+g
Step 2: Divide both sides by b+x.
a(b+x)/b+x=3f+g/b+x
a=3f+g/b+x
I need help pleaseeeeeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation: [-2.19] = -3
[3.67] = 3
[-0.83] = -1
The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on. This explains the domain and range relations of a step function.
This can be generalized as given below:
[x] = -2, -2 ≤ x < -1
[x] = -1, -1 ≤ x < 0
[x] = 0, 0 ≤ x < 1
[x] = 1, 1 ≤ x < 2
Answer:
y = - \(\frac{3}{2}\) x
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, 0) ← 2 points on the line
m = \(\frac{0-3}{0-(-2)}\) = \(\frac{-3}{0+2}\) = - \(\frac{3}{2}\) , then
y = - \(\frac{3}{2}\) x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (0, 0 )
0 = - \(\frac{3}{2}\) (0) + c = 0 + c , so
c = 0
y = - \(\frac{3}{2}\) x + 0 , that is
y = - \(\frac{3}{2}\) x
La abuela de Jorge, cuando llegan las fechas navideñas, reparte 120 € entre los tres nietos de la siguiente forma: Jorge, como es el mayor, recibe 10 € más que su prima Alejandra, y esta 10 € más que la prima pequeña Marina. ¿Cuánto dinero recibe cada uno?
Answer:
Marina recibe 30 euros, Alejandra recibe 40 euros y Jorge recibe 50 euros.
Step-by-step explanation:
Dado que la abuela de Jorge, cuando llegan las fechas navideñas, reparte 120€ entre los tres nietos de la siguiente forma: Jorge, como es el mayor, recibe 10 € más que su prima Alejandra, y esta 10 € más que la prima pequeña Marina, para determinar cuánto dinero recibe cada uno se debe realizar el siguiente cálculo:
J = A + 10
A = M + 10
M = M
J + A + M = 120
A + 10 + M + 10 + M = 120
M + 10 + 10 + M + 10 + M = 120
3M + 30 = 120
3M = 120 - 30
M = 90 / 3
M = 30
Por lo tanto, Marina recibe 30 euros, Alejandra recibe 40 euros y Jorge recibe 50 euros.
for y=6/5x-2, which value represents the slope of a line parralel to the equation 5/6 6/5 -1/2 1/2
Answer:
The slope of a line parallel to the equation y = (6/5)x - 2 is 6/5.
Step-by-step explanation:
In general, when two lines are parallel, they have the same slope. Therefore, any line that is parallel to the given equation will have a slope of 6/5.
What is 2. 1.
— • —?
3. 2
Simplify to the lowest terms.
PLEASE HELP ASAP!! 20 points!!!
A. 1
—
6
B. 1
—
4
C. 1
—
3
D. 1
—
2
Answer:
a is the answer
Step-by-step explanation:
rewrite the expression without absolute value bars
The expression without absolute value bars is 3.84.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
|√10 - 7 |
= | 3.16 - 7 |
= | -3.84 |
= 3.84
Thus,
The value of the expression is 3.84.
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The Acculturation Rating Scale for Mexican Americans (ARSMA) is a psychological test that measures the degree to which Mexican Americans are adapted to Mexican/Spanish versus Anglo/English culture. The range of possible scores is 1.0 to 5.0, with higher scores showing more Anglo/English acculturation. The distribution of ARSMA scores in a population used to develop the test is approximately Normal with mean 3.0 and standard deviation 0.8. A researcher believes that Mexicans will have an average score near 1.7 and that first-generation Mexican Americans will average about 2.1 on the ARSMA scale.
What proportion of the population used to develop the test has scores below 1.7? Between 1.7 and 2.1?
Answer:
The proportion of the population used to develop the test that has scores below 1.7 is 0.063.
The proportion of the population used to develop the test that has scores between 1.7 and 2.1 is 0.0662.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The distribution of ARSMA scores in a population used to develop the test is approximately Normal with mean 3.0 and standard deviation 0.8.
This means that \(\mu = 3, \sigma = 0.8\)
What proportion of the population used to develop the test has scores below 1.7?
This is the pvalue of Z when X = 1.7. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{1.7 - 3}{0.8}\)
\(Z = -1.63\)
\(Z = -1.63\) has a pvalue of 0.063
The proportion of the population used to develop the test that has scores below 1.7 is 0.063.
Between 1.7 and 2.1?
This is the pvalue of Z when X = 2.1 subtracted by the pvalue of Z when X = 1.7.
X = 2.1
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{2.1 - 3}{0.8}\)
\(Z = -1.13\)
\(Z = -1.13\) has a pvalue of 0.1292
X = 1.7
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{1.7 - 3}{0.8}\)
\(Z = -1.63\)
\(Z = -1.63\) has a pvalue of 0.063
0.1292 - 0.063 = 0.0662
The proportion of the population used to develop the test that has scores between 1.7 and 2.1 is 0.0662.
Find the horizontal asymptotes: y=2x^2/3x^3 You must show your work and enter your answer below.
Answer:
y = 0
Step-by-step explanation:
You want the horizontal asymptote of y=2x^2/3x^3.
Horizontal asymptoteDegree of numerator: 2
Degree of denominator: 3
When the degree of the denominator (3) is greater than the degree of the numerator (2), the horizontal asymptote is ...
y = 0
__
Additional comment
This reduces to (2/3)(1/x). The value of 1/x approaches zero when the magnitude of x gets large.
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Find the measure of the missing angle
Answer:
a = 115°
Step-by-step explanation:
Two angles are supplementary angles because they make a straight line.
The sum of two angles is equal to 180° then to find the measure of the missing angle we simply subtract 65 from 180:
180 - 65 = 115
Find the unknown number in the equation 4 x 12 = 6 x n.
Answer:
n = 8
Step-by-step explanation:
hope this helps
Provide the reasons for the following proof.
The figure shows triangle W X Y with a segment X Z drawn from vertex X to point Z on side W Y.
Given: Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y
Prove: triangle W X Z is congruent to triangle Y X Z
Statements Reasons
1.Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y 1. Given.
2. angle W X Z is congruent to angle Y X Z 2. Definition of an angle bisector.
3. Segment X Z is congruent to segment X Z. 3. _____________
4. triangle W X Z is congruent to triangle Y X Z 4. _____________
A. Reflexive Property of congruent to; SSS
B. Symmetric Property of congruent to; SSS
C. Reflexive Property of congruent to; SAS
D. Symmetric Property of congruent to; SAS
SOMEONE HELP! PLEASE!
The two column proof showing that ΔWXZ ≅ ΔYXZ is as shown below
From the given triangle, we see that;
Given: WX ≅ XY, XZ bisects WXY
Prove: ΔWXZ ≅ ΔYXZ
The two column proof for the above is as follows;
Statement 1; WX ≅ XY, XZ bisects 2
Reason 1; Given
Statement 2: ∠WXZ ≅ YXZ
Reason 2; Angle bisector
Statement 3; XZ ≅ XZ
Reason 3: Reflexive property of congruence
Statement 4: ΔWXZ ≅ ΔYXZ
Reason 4: SAS Congruence Postulate
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In a game show, contestants gain or lose points by answering questions. Jacob began with 27 points, then he lost 53 points and gained 15 points. What was his final score?
Answer:
His final score was -11 points
Step-by-step explanation:
27 - 53 = -26
-26 + 15 = -11
a quadratic function is defined by f(x) = x*2 - 8x - 4.
Which expression also defines f and best reveals the max and mini of the function?
a) (x-4)*2 - 20
B) (x-4)*2 + 12
c) x(x-8) -4
d) (x-4)*2 + 20
The expression that best reveals the maximum and minimum of the function\(f(x) = x^2 - 8x - 4 is (x - 4)^2 - 20.\) Option A
How to find the expressionThe vertex form of a quadratic function is given by\(f(x) = a(x - h)^2 + k\) where (h, k) represents the coordinates of the vertex.
In the given quadratic function \(f(x) = x^2 - 8x - 4\), we can rewrite it in the vertex form by completing the square:
\(f(x) = (x - 4)^2 - 16 - 4\\f(x) = (x - 4)^2 - 20\)
From this expression, we can see that the vertex of the quadratic function is at the point (4, -20).
The term\((x - 4)^2\) tells us that the vertex is at x = 4, and the constant term -20 indicates the y-coordinate of the vertex.
The expression that best reveals the maximum and minimum of the function\(f(x) = x^2 - 8x - 4\) is \((x - 4)^2 - 20.\)
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SOMEONE PLEASE HELPP MEE
The end-points of the line segment will be negative 1.25 and 0.25.
What is a number line?A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.
The length of the line segment is 1.50 units and the midpoint of the line segment is negative 0.50. Then the end-points of the line segment are given as,
⇒ - 0.50 ± (1.50) / 2
Simplify the expression, then we have
⇒ - 0.50 ± (1.50) / 2
⇒ - 0.50 - (1.50) / 2, - 0.50 + (1.50) / 2
⇒ - 0.50 - 0.75, - 0.50 + 0.75
⇒ - 1.25, 0.25
The end-points of the line fragment will be negative 1.25 and 0.25.
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Ver en español
Pam, the CEO of Zettabyte Tek, set up a $750,000 education fund. She wants to give each employee who takes a computer security class a $350 reimbursement toward the cost of the class. You can use a function to describe the amount of money left in the fund after x employees receive the reimbursement.
Write an equation for the function. If it is linear, write it in the form f(x)=mx+b. If it is exponential, write it in the form f(x)=a(b)x.
The formula for this linear function is f(x) = mx + b, where m is the slope (in this example, -350), and b is indeed the y-intercept (750,000 in this case).
What does a simple equation represent?An equation expressing the connection between the expressions on either side of a sign. Normally, it has an equal sign and just one variable. such as: 2x - 4 is equal to 2. The variable x is present in the example above.
Workers who complete the computer security course will each receive a reimbursement of $350.
We deduct $350x from of the initial $750,000 to determine how much money will remain inside the education fund once x employee gets the reimbursement.
Thus, f(x) = 750,000 - 350x is the equation again for function that describes that amount of money still in the fund when x employees receive the refund.
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