Answer:
The answer is 3cm
Please give branliest!
Step-by-step explanation:
(S1×2)+(S2×2)=21cm
(S1+S2)×2=21cm
S1+S2=21÷2
7.5+S2=10.5
S2=10.5-7.5
S2=3
Breadth=3cm
Step-by-step explanation:
p=2(l+b)
21=2(7.5+b)
21=15+2b
21-15=2b
6=2b
6/2=b
b=3
A rectangular park has an area of A square yards. The length of the park is 50 yards.
Which equation represents, w, the width of the park in yards?
w= A - 2(50)
w=50/А
w=А/50
w= A - 25
Answer:
i believe it would be w=A/50
Step-by-step explanation:
We have 2 squares. One square is shaded 2/12 and the other shaded square in the diagram is 2/15 shaded. How much of the total diagram is shaded?
A.0.148
B.0.148 repeated
C. 0.3
D.0.3 repeated
Answer: The answer to your question is C. Brainliest?
Step-by-step explanation:
For the first square, we can multiply both the numerator and denominator by 5 to get an equivalent fraction with a denominator of 60:
2/12 = (2 x 5) / (12 x 5) = 10/60
For the second square, we can multiply both the numerator and denominator by 4 to get an equivalent fraction with a denominator of 60:
2/15 = (2 x 4) / (15 x 4) = 8/60
Now, we can add the two fractions:
10/60 + 8/60 = 18/60
Simplifying this fraction by dividing both numerator and denominator by 6, we get:
18/60 = 3/10
Therefore, the total shaded area in the diagram is 3/10 or 0.3 in decimal form.
The answer is C. 0.3.
Find the final amount of money in an account if
$
7
,
200
is deposited at
6
%
interest compounded annually and the money is left for
6
years.
Answer:
10213.33
Step-by-step explanation:
use the formula to answer this question
principal=7,200
rate=0.06
compounded anually=1
time=6
Hope it helped..
A bucket contains 72 red, 48 blue, 48 green, and 48 yellow crayons. The art teacher also has 120 pieces of drawing paper. What is the largest number of identical kits the art teacher can make with all of the crayons and all of the paper?
The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.
To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.
The GCD represents the largest number that can divide all the quantities without leaving a remainder.
The GCD of the quantities of crayons can be found by considering the prime factorization:
72 = 2³ × 3²
48 = 2⁴ × 3
48 = 2⁴ × 3
48 = 2⁴ × 3
The GCD of the crayons is 2³ × 3 , which is 24.
Now, we need to find the GCD of the quantity of drawing paper:
120 = 2³ × 3 × 5
The GCD of the drawing paper is also 2³ × 3 , which is 24.
Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.
Each kit would contain an equal distribution of crayons and drawing paper.
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Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
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In Exercises 13 and 14, determine whether the situation shows direct variation.
Explain your reasoning.
13. Bowling lane rental costs $3.00 per hour.
14. A family water park ticket costs $20 plus $5 for each tube.
15. In a rewards program, the number p of points a member earns varies directly
with the number d of dollars spent in the store. A member who spends $10 earns
5 points. Find the number of points a member earns for spending $80.
Answer:
tbh choose the biggest number
Step-by-step explanation:
Solve the inequality - 3 / 2 x > -9 and write the solution using:
Inequality notation:
Graph the solution below:
Points possible: 1
This is attempt 1 of 3 .
The solution to the given inequality in interval notation is {-∞, 6} and it is represented by the number line shown in the graph attached below.
What is an inequality?An inequality is a mathematical relation that is typically used for comparing two (2) or more integers and variables in an algebraic equation based on any of the following symbols:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).Given the following inequality:
-3x/2 > -9
Next, we would solve the inequality by multiplying both sides with 2 as follows:
2 × -3x/2 > -9 × 2
-3x < -18
Dividing both sides by -3, we have:
-3x/-3 < -18/-3
x < 6
In interval notation, we have:
Interval notation = {-∞, 6}
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Use a model to find the missing value in the proportion.
A. 4
B. 5
C. 10
D. 22
Please select the best answer from the choices provided
OA
OB
O C
OD
The missing value in the proportion is C- 10
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
We are given that 2/5 = ?/25
Let x be the unknown number.
Here first we have the bottom half of type equation equal each other
5x=25 (2)
x= 25 (2) / 5
x = 5 (2)
x = 10
10 is the answer
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How do you find the range on a graph?
The range of a graph can be found using the values depicted on the y-axis.
According to the question,
We have the following information:
We have a graph and we need to know how do we find the range of that graph.
We know that the domain of a graph is the collection or in other words set of input values depicted on x -axis and the range of a graph is the set of possible output values portrayed on y-axis of the graph.
In noting down the range of a graph, we first list down the down value and then the up value or in other words we move from down to up in order to find the range of a graph.
Hence, the range of a graph can be found using the values depicted on the y-axis.
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During her morning run Olivia’s heart beats 330 times in 3 minutes. Enter the number of beats Olivia’s heart would have in 4 minutes at this rate.
Answer:
440 beats
Step-by-step explanation:
330/3 = 110 beats per minute
110 * 4 = 440
Answer:
440
Step-by-step explanation:
if you divide 330 by 3 that would be 110 in 1 minute so multiply that by 4 and you get 440
Find the value of p.
-25 = -4p + 19
Answer:
9.75
Step-by-step explanation:
-25 = -4p + 19
-25 - 19 = -4p
-39 ÷ -4 = p
9.75 = p
1. Evaluate 7m + 3mn; when m=8 and n=14?
2. Simplify: 675 ÷ (6+9 ÷ 3)
3. (3x - 2)(4x +1)
Answer:
1. 392
2. 75
3. \(12x^{2} - 5x -2\)
Step-by-step explanation:
1. 7×8 + 3×8×14 = 56 + 336 = 392
2. 675 ÷ (6 + 3) = 675 ÷ 9 = 75
3. \(12\)\(x^{2}\) + \(3x -\) \(8x - 2\) = \(12x^{2} -5x-2\)
A. Are the expressions 3(m - 2) + 2(m - 2) and 5(m - 2) equivalent expressions? B. In two or more complete sentences, justify your answer to A.
A. Yes, the two expressions in discuss as given in the task content are; equivalent expressions.
B. The two expressions when simplified to the fewest terms is; 5m - 10. Hence, the two expressions are equivalent expressions.
Are the two expressions given equivalent expressions?It follows from the task content that the two expressions given are to be compared and determined if they are equivalent expressions.
A. By evaluation; using the Distributive property; we have;
3(m - 2) + 2(m - 2) = 3m - 6 + 2m - 4 = 5m - 10.
Also; 5(m - 2) = 5m - 10.
Therefore, the two expressions are equivalent.
B. Since both expressions given can be written in fewest terms as; 5m - 10, the expressions are equivalent. Hence, the two expressions are said to be equivalent expressions.
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The graph shows the number of weeks of practice (x) and the number of
shots missed in a free-throw drill (y). The equation of the trend line that best
fits the data is y = - + 6. Predict the number of missed shots after 10
weeks of practice.
A. 1
B. 2
C. 3
D. 4
The number of missed shots after 10 weeks of practice is 1
Predicting the number of missed shots after 10 weeks of practice.From the question, we have the following parameters that can be used in our computation:
The line of best fit
Also, we have the equation to be
y = -1/2x + 6
At the 10th weeks, we have
x = 10
Substitute the known values in the above equation, so, we have the following representation
y = -1/2 * 10 + 6
Evaluate
y = 1
Hence, the number of missed shots after 10 weeks of practice is 1
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find inverse of f(x)=- 1/2 x+11
Answer:
-2x + 22
Step-by-step explanation:
We have the function f(x) = -1/2x + 11 and are asked to find the inverse of it.
To find the inverse, we will follow the according steps :
Replacing x with ySolving for yLet's do as followed:
Replacing x with y :
Since f(x) can be also written as y, we can do y = -1/2x + 11, thus making the switch alot easier.
y = -1/2x + 11
x = -1/2y + 11
Solve for y :
We have to get y alone to find the inverse, to do so, get rid of the outlier by subtracting 11 from both sides :
x - 11 = -1/2y
Now divide both sides by -1/2 to get y alone and retrieve our inverse :
-2(x - 11)
Distribute to get the inverse :
-2x + 22
What is the value of x in the equation x + 5.1 = 0?
−5.1
0
4.9
I don't know.
Answer:
x = -5.1
Step-by-step explanation:
Given the equation, x + 5.1 = 0:
Subtract 5.1 on both sides of the equation to isolate x:
x + 5.1 - 5.1 = 0 - 5.1
x + 0 = - 5.1
x = - 5.1
Answer:
x = -5.1
Step-by-step explanation:
Given the equation, x + 5.1 = 0:
Subtract 5.1 on both sides of the equation to isolate x:
x + 5.1 - 5.1 = 0 - 5.1
x + 0 = - 5.1
x = - 5.1
High School Geometry
BC is tangent to circle A, and the value of r is 10.
Given,
BC=24
CD=16
AD=AB=r
To find the value of r, we can use the fact that a tangent line to a circle is perpendicular to the radius at the point of tangency. So we know that angle ABD is a right angle, and we can use the Pythagorean theorem
The Pythagorean theorem can be used to calculate the value of r:
\(AB^2+BC^2=AC^2\)
\(r^2+24^2=(r+16)^2\)
\(r^2= (r+16)^2-24^2\)
\(r^2\)= \(r^2\)+256+32r-576
\(r^2\)=\(r^2\)+32r-320
\(r^2-r^2\)-32r=-320
-32r=-320
r=320/32
r=10
Therefore the correct answer is r=10.
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Consider the function y = √4-x.
What are the domain and range of this function?
Answer:
For the function y = √4-x, we know that the value inside the square root must be non-negative. Therefore, we have the inequality:
4 - x ≥ 0
Solving for x, we get:
x ≤ 4
So the domain of the function is all real numbers less than or equal to 4.
For the range, we know that the square root of any non-negative number is always non-negative. Therefore, the smallest value that y can take is 0, which occurs when x = 4. As x decreases, y increases without bound. So the range of the function is [0,∞).
Step-by-step explanation:
Harry has a batting average of .200 (i.e., a 20 percent chance of a hit each time he's at bat). Scouts for a rival baseball club secretly observe Harry's performance in 12 random times at bat. What is the probability that Harry will not get more than 2 hits
Answer:
0.9999
Step-by-step explanation:
Probability of a bit whenever he is at bat = 0.20
Probability when not having a hit = 1-0.20
= 0.80
n = 12
P = 0.80
We have a binomial distribution
P(X=x) = nCx*P^x(1-p)^n-x
P(x>2) = 1-p(x<=2)
= 1-[(12C0 * 0.8⁰*(1-0.8)¹²) +(12C1 * 0.8¹ * (1-0.8)¹¹) + (12C2 * 0.8² * (1-0.8)¹⁰)]
= 1-(0.000000004096+0.000000196608+0.000004325376)
= 1-0.00000452608
This is approximately
0.9999
Solve the equation and tell me what the y=?
Answer:
Y = 40
Step-by-step explanation:
All you have to do is multiply 5 by 8
5 * 8 = 40
So, Y = 40
Hope this helps! :)
Answer:
40
Step-by-step explanation:
In a manufacturing plant, a work center is a specific production facility that consists of one or more people and or machines and is treated as one unit for the purposes of capacity requirements planning and job scheduling. If the jobs arriveat a particular work center at a faster rate than they depart, the work center impedes the overall production process and is referred to as a bottleneck. This sample was collected by an operations manager for use in investigating a potential bottleneck work center. There are 315 hours in the work week when items can come into the work center. The manager selects every 15th hour and counts how many items come into the work center during that hour. What type of sample is this?
Answer:
Systematic sampling
Step-by-step explanation:
Systematic sampling is a sampling technique in which the first sample selection is a random selection but other subsequent selection of samples occurs within a fixed sampling interval. The determination of this interval is based on the division of the population size by sample size.
Let assume that, our first random selection is \(i^{th}\) unit, then the other fixed selection occurs at a fixed sampling interval of k.
Therefore, using systematic sampling method, the sampling unit will be every \(k^{th}\) unit after the \(i^{th}\) unit.
From the question given:
We notice that the manager selects a sampling unit every 15th hour. This tells us that he is taking the sampling unit by the usage of a fixed time interval.
Hence, this appears to be a systematic sample.
someone please help with my geometry
Geometry encompasses various topics such as angles, lines, triangles, circles, polygons, and more.
Whether you need help with a specific theorem, a geometric proof, or solving a particular problem, feel free to describe the problem or provide any relevant information.
You can also ask general questions about geometry concepts or seek clarification on any topic you find challenging. Remember to provide all the necessary details, such as given information, diagrams, or specific requirements of the problem, to help me understand and assist you better.
Geometry often involves visual representation, so if you can provide any diagrams or illustrations related to your question, it would be helpful. However, if you can only describe the problem or concept in words, that's perfectly fine too.
Rest assured that I'll do my best to provide clear explanations, step-by-step solutions, and any additional information or insights to help you understand and solve your geometry problem.
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Look at the following set of four whole numbers. 4 9 10 12 Find another set of four whole numbers so that: the range has increased by 2, • the mean remains the same, • the median has decreased by 1. ● You may use some of the numbers from the orignal set, but not exactly the same four numbers. My four numbers are
The required set of numbers 5, 9, 11, and 14 satisfies all the given conditions.
What is Set?In mathematics, a set is a logically arranged group of items that can be represented in either set-builder or roster form. Sets are typically denoted by curly brackets; for instance, A = 1, 2, 3, 4 is a set.
According to question:a set of four whole numbers that satisfies the given conditions:
5, 9, 11, 14
To check that this set meets the requirements:
The range of the original set (12 - 4 = 8) increased by 2 to become 10 (14 - 4 = 10).
The mean of the original set ((4 + 9 + 10 + 12) / 4 = 8.75) remains the same in the new set ((5 + 9 + 11 + 14) / 4 = 8.75).
The median of the original set is 9.5 (the average of 9 and 10), and the median of the new set is 10 - 1 = 9.
Therefore, the set of numbers 5, 9, 11, and 14 satisfies all the given conditions.
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Write the sum of the circumferences of all three circles in factored form.
Answer:
2π(x+y+z)
is the factorization
You want to survey people about their favorite types of art. Which is the better place to get a random sample?
A) outside an art museum
B) in the modern art section of an art museum
Answer:
B) in the modern art section of an art museum
Step-by-step explanation:
Hope it helps! =D
Please help me with the following question.
If one order is selected, the probability of getting an order that is not accurate is 0.236.
What is probability in maths?Probability is a measure of the likelihood of an event occurring. The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. Scientific probability is built on the basis of probability theory.
The calculation is;
P(Not accurate ) is equal to [n(Not accurate) + (Not accurate)- n] /Total
Thus, we have;
P(Not accurate) is calculated as follows:
(60 + 32 + 12 + 38 + 122 + 12 - 12)/(280 + 245 + 122 + 331 + 60 + 32 + 12 + 38).
P(Not accurate) = 264/1120
P(Not accurate ) = 0.236
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Question 12 (5 points)
Which statement represents the transitive property of equality?
OA) If m ZA= mB, then m
B) If x = y, then y = x.
OC) If WX = XY, then XY = WX.
OD) If WX = XY and XY = YZ, then WX = YZ.
Answer:
D) If WX = XY and XY = YZ, then WX = YZ.
Step-by-step explanation:
The transitive property states that if a=b and b=c, then a=c. So, if two different values equal to the same, separate value, then they are also congruent. The answer choice, d, represents this idea because WX and YZ both equal XY and are shown to be equal.
Answer:
OD) If WX = XY and XY = YZ, then WX = YZ.
Step-by-step explanation:I took the test
What is the slope, m, and the y-intercept of the line that is graphed below?NO-54-3-2-1, 112345x
Answer:
The slope is m = 1.
y-intercept is y = 1.
Step-by-step explanation:
Slope:
To find the slope of a line, we select two points of the line. The slope is the variation in y divided by the variation in x.
In this exercise:
I am choosing the points (-1,0) and (0,1)
Variation in x: 0 - (-1) = 0 + 1 = 1
Variation in y: 1 - 0 = 1
Slope: 1/1 = 1
The slope is m = 1.
y-intercept:
The y-intercept is the value of y when x = 0. In this line, when x = 0, y = 1. So the y-intercept is y = 1.
The graph compares the weights in pounds of 100 dogs and cats that are brought in
to a veterinarian's office. Using the medians, how much more does a typical dog weigh than a typical cat?
Answer:20
Step-by-step explanation:this is wrong
Answer:
40
Step-by-step explanation:
subtract median of dogs and median of cats
Find the difference between the actual quotient and the estimated quotient of 54,114÷29 . (Dividend is rounded off to nearest thousand and divisor to nearest ten)
The difference between the actual quotient and the estimated quotient of 54,114 ÷ 29 is approximately 66.3448275862068965517241379.
To find the difference between the actual quotient and the estimated quotient of 54,114 ÷ 29, we need to first calculate the actual quotient and then the estimated quotient.
Actual quotient:
Dividing 54,114 by 29, we get:
54,114 ÷ 29 = 1,866.3448275862068965517241379 (approximated to 28 decimal places)
Estimated quotient:
Rounding the dividend, 54,114, to the nearest thousand gives us 54,000. Rounding the divisor, 29, to the nearest ten gives us 30. Now, we can perform the division with the rounded values:
54,000 ÷ 30 = 1,800
Difference between actual and estimated quotient:
Actual quotient - Estimated quotient = 1,866.3448275862068965517241379 - 1,800 = 66.3448275862068965517241379
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