Complete each proof using the properties of equality. Not all rows may be used.
Answer:
Statement Reason
4d = 1/3(c - d) Given
12d = c - d Multiplication property
13d = c Addition property
c = 13d Symmetric property
Explanation:
The initial equation is
4d = 1/3(c - d)
Then, we need to multiply both sides by 3, so
3(4d) = 3(1/3)(c-d)
12d = c - d
Finally, add d to both sides of the equation
12d + d = c - d + d
13d = c
Then,
c = 13d
Therefore, the answer is
Statement Reason
4d = 1/3(c - d) Given
12d = c - d Multiplication property
13d = c Addition property
c = 13d Symmetric property
A car that weighs 2000 kg is moving at an
acceleration of 20 m/s2.
How much force does the car have?
Answer:
40000
Step-by-step explanation:
Use force calculator
A Train crosses a bridge 100 m in 45 sec at a speed of 60 km/h find a time taken by the train to cross a clock tower
Ans is 351/8.
hope it is helpful
question 10 a data analyst uses the bias() function to compare the actual outcome with the predicted outcome to determine if the model is biased. they get a score of 0.8. what does this mean?
If a data analyst uses the bias() function to compare the actual outcome with the predicted outcome to determine if the model is biased and gets a score of 0.8, this simply means that: 2. The model is biased.
What is sampling bias?In Mathematics, a sampling bias can be defined as a type of bias in which members of an intended population are selected in such a way that some members have a higher or lower sampling probability (chances) than the other members.
This ultimately implies that, a sampling bias would occur when members of an intended population are selected incorrectly, which eventually results in a sample that is not representative of the entire population.
In conclusion, a bias() function with an outcome score of 0.8 in R programming indicates that a model is biased because the closer a score is to zero, the lower are its chances of being biased.
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Complete Question:
A data analyst uses the bias() function to compare the actual outcome with the predicted outcome to determine if the model is biased. They get a score of 0.8. What does this mean?
1. Bias cannot be determined
2. The model is biased
3. Bias can be determined
4. The model is not biased
HELPHELPEP ITS ON SCIENCE AND IS DUE IN 30 MINS AND I HAVE NO CLUE WHAT TO DOOO
sorry for bad handwriting
Answer:
1: Moving 2:A cup of room temperature water 3:It can solidify into ice 4:The sun coming out every morning, warm air. 5:Cold air conditioning inside of a car, Night starts. 6:C 7:liquids 8: Into the leg 9:They slow down 10:smaller, slow down.
Step-by-step explanation:
W H A T I S T H E A W N S E R F O R 8 x 2/5 =
Answer:
3 1/5
Step-by-step explanation:
8×2/5 is 16/5= 3 1/5
because u multiple the top number
number of boys:number of girls=11:9 there are 124 more boys than girls work out the total number of students
The total number of students in the class is 1240.
How to calculate ratio ?
To calculate a ratio, you need to express the relationship between two or more quantities in the form of a fraction. Here are the steps to follow:
Identify the quantities you want to compare. For example, if you want to compare the number of boys and girls in a class, these would be the two quantities.
Write the quantities as a fraction, with the numerator representing one quantity and the denominator representing the other. For example, if there are 20 boys and 30 girls, the ratio of boys to girls would be 20/30 or 2/3.
Simplify the ratio by dividing both the numerator and denominator by their greatest common factor. In the example above, both 2 and 3 are divisible by 2, so the simplified ratio would be 1/3.
Express the ratio in the form of a statement, using a colon to separate the two quantities. For example, the ratio of boys to girls in the class is 1:3.
Note that ratios can also be expressed in different ways, such as as a decimal or percentage, but the steps above are the basic method for calculating a ratio.
Let the number of boys be 11x and the number of girls be 9x.
According to the given condition, 11x - 9x = 124
Therefore, 2x = 124
x = 62
So the number of boys is 11x = 11 * 62 = 682
And the number of girls is 9x = 9 * 62 = 558
Thus, the total number of students is the sum of the number of boys and girls, which is:
Total = 682 + 558 = 1240
Therefore, the total number of students in the class is 1240.
In conclusion, there are 682 boys and 558 girls in the class, and the total number of students is 1240.
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Help please doll this inequality 7-3x<0
Answer:
7-3x<0
7 < 3x
3x > 7
x > 7/3
Hope it helps :)
Answer:
7-3x<0
7-3+5
-1
__&96&6$96&6 $96$6*"586*6)*5)"-*-*6*=$6=*)5$)5"
Find the equation of the exponential function represented by the table below:xy011329327
To find the equation of the exponential function represented by the table, we need to observe the relationship between x and y values.
Given the table: x: 0, 1, 1, 3, 2, 9, 3, 27, y: 1, 1, 3, 9, 9, 27, 27, 81. From the table, we can see that the y-values are obtained by raising the corresponding x-values to a certain power. Specifically, the y-values are equal to 3 raised to the power of the x-values. Therefore, the equation of the exponential function is: y = 3^x.
This equation represents an exponential function where the base is 3. It shows that as the x-values increase, the y-values grow exponentially by repeatedly multiplying by 3. This exponential relationship is consistent with the values in the given table.
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PLEASE HELP ME ANSWER ASAP
L = k/f, where k is the variational constant, is the formula for the inverse variation.
Inverse proportionsA mathematical relationship between two variables in which they vary in opposing directions is referred to as an inverse proportion, also known as an inverse relationship. When one variable increases while the other decreases, this is known as having inverse proportions.
Using the variables length of violin 'l' and frequency of vibration 'f'
If the length of violin 'l' is inversely proportional to the frequency of vibration 'f', this is expressed as:
l α 1/f
l = k/f
Hence the formula for the inverse variation is l = k/f where k is the constant of variation.
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Simplify the rational expression. 3x^3+4x+5/x+3
Answer:
hey its 8
Step-by-step explanation:
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Sheila is conducting an experiment in which she is rolling a die. After rolling the die 90 times, she has collected the following data. Die Landed On Frequency Experimental Probability 1 19 0.2111 2 15 0.1667 3 10 0.1111 18 0.2 5 22 0.2444 6 6 0.0667 Based on theoretical probability, she was expecting the die to land on each number 15 times. Sheila then remembered that experimental probability does not always equal theoretical probability, but it should approach it the more times an experiment is run. Sheila ran the experiment again rolling the die 180 times. For the 180 Tolls of the die, she noticed that all of the frequencies were at most 20% away from what was expected based on the theoretical probability. She then combined the two data sets for a total of 270 rolls of the die. The minimum frequency that she could have obtained from any number in the combined data set is frequency she could have obtained from any number is 7 of 10 Answered Reset Submit Session Timer: 14:22 and the maximum Tools Session Score: 57% (4/7)
Therefore , the solution of the given problem of probability comes out to be the combined data set is 0.
What precisely is probability?The evaluation of the likelihood that the claim is accurate or that a particular event will occur is the main objective of the frameworks within a method known as criteria. Chance can be represented by any number between 0 and 1, where 0 is frequently used to indicate possibility and 1 is frequently used to signify a degree of confidence. A probability diagram shows the likelihood that a particular occurrence will occur.
Here,
We can use the following algorithm to determine the lowest frequency Sheila could have gotten from any number in the combined data set:
Minimum frequency is calculated as
=> (total rolls) * (theoretical probability - 20%).
Since there are six equally probable results when rolling a die, the theoretical probability of rolling each number is 1/6. The smallest frequency Sheila could have acquired is thus:
=> Minimum frequency = 270* (1/6 - 20%) or
=> 270*(1/6 - 0.2)
=> 270 *-0.0333)
=> -9.
The lowest frequency Sheila could have gotten is 0, though, because frequency cannot be negative.
The minimum frequency she could have determined from any number in the combined data set is 0.
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y-3=-2(x+5) in slope intercept form
Answer:
Y= -2x-7
Step-by-step explanation:
y-3= -2(x+5)
y - 3 = -2x - 10
y= -2x -10 +3
y=-2x-7
someone please help me!
Show all work to factor x4 − 5x2 + 4 completely.
Step-by-step explanation:
=>x⁴-5x²+4
=>x⁴-x²-4x²+4
=>x²(x²-1)-4(x²-1)
=>(x²-1)(x²-4)
=>(x+1)(x-1)(x+2)(x-2)
hope this helps you.
PLEASEEE HELP 25 points
Answer:
slope= 1/10x and the slope represents the increase of the rental cost after x miles driven.
Step-by-step explanation:
i hope this helps :)
Evaluate the function for the indicated values. F(x) = [[x]] (a) f(4.1) (b) f(4.9) (c) f(-5.5) (d) f(11/2)
To help you evaluate the function F(x) = [[x]] for the indicated values:
(a) f(4.1): To evaluate the function at this value, we need to find the greatest integer less than or equal to 4.1.
Since 4 is the greatest integer less than or equal to 4.1, f(4.1) = 4.
(b) f(4.9): Similarly, for 4.9, the greatest integer less than or equal to 4.9 is 4. So, f(4.9) = 4.
(c) f(-5.5): For -5.5, the greatest integer less than or equal to -5.5 is -6. Therefore, f(-5.5) = -6.
(d) f(11/2): Since 11/2 = 5.5, we need to find the greatest integer less than or equal to 5.5. The greatest integer less than or equal to 5.5 is 5, so f(11/2) = 5.
In summary:
a) f(4.1) = 4
b) f(4.9) = 4
c) f(-5.5) = -6
d) f(11/2) = 5
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find a, b , a , b , and d(a, b) for the matrices in m2,2 using the inner product a, b = 2a11b11 a21b21 a12b12 2a22b22 a = 1 4 −1 2 , b = 1 0 −2 0
(a) (A, B) = 0, (b) ||A|| = √2, (c) ||B|| = √2, (d) d(A, B) = -1. These values are calculated using the given inner product formula and the matrices A and B.
Let's calculate the required values step by step
To find (A, B), we need to substitute the elements of matrices A and B into the given inner product formula:
(A, B) = 2(a₁₁)(b₁₁) + (a₁₂)(b₁₂) + (a₂₁)(b₂₁) + 2(a₂₂)(b₂₂)
Substituting the values from matrices A and B:
(A, B) = 2(1)(0) + (0)(1) + (0)(1) + 2(1)(0)
= 0 + 0 + 0 + 0
= 0
Therefore, (A, B) = 0.
To find ||A|| (norm of A), we need to calculate the square root of the sum of squares of the elements of A:
||A|| = √((a₁₁)² + (a₁₂)² + (a₂₁)² + (a₂₂)²)
Substituting the values from matrix A:
||A|| = √((1)² + (0)² + (0)² + (1)²)
= √(1 + 0 + 0 + 1)
= √2
Therefore, ||A|| = √2.
To find ||B|| (norm of B), we can follow the same steps as in part (b):
||B|| = √((b₁₁)² + (b₁₂)² + (b₂₁)² + (b₂₂)²)
Substituting the values from matrix B:
||B|| = √((0)² + (1)² + (1)² + (0)²)
= √(0 + 1 + 1 + 0)
= √2
Therefore, ||B|| = √2.
To find d(A, B), we need to calculate the determinant of the product of matrices A and B:
d(A, B) = |AB|
Multiplying matrices A and B:
AB = [10 + 01 11 + 00;
00 + 11 01 + 10]
= \(\left[\begin{array}{cc}0&1&\\1&0\\\end{array}\right]\)
Taking the determinant of AB:
|AB| = (0)(0) - (1)(1)
= -1
Therefore, d(A, B) = -1.
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--The given question is incomplete, the complete question is given below " Use the inner product (A,B) = 2a₁₁b₁₁ + a₁₂b₁₂ + a₂₁b₂₁ + 2a₂₂b₂₂ to find (a) (A, B), (b) ll A ll, (c) ll B ll, and (d) d (A, B) for matrices in M₂,₂
A = [1 0; 0 1]
B = [0 1; 1 0]
Thank you, Please show work"--
Buns come in packs of 8 while hotdogs come in packs of 10. To plan a party for more than 200 people, for how many guests will both packages work evenly?
Therefore, the packages of buns and hotdogs will work evenly for 5 groups of 40 people each, which is a total of 200 people.
To plan a party for more than 200 people, the number of guests for which both packages of buns and hotdogs will work evenly is 40 people. Here's an explanation of how to get this answer: First, we need to find the common multiple of 8 and 10 since buns come in packs of 8 while hotdogs come in packs of 10. The common multiple of 8 and 10 is 40. Next, we need to divide the total number of people by the common multiple of 8 and 10, which is 40. So, 200 divided by 40 equals 5. Therefore, the packages of buns and hotdogs will work evenly for 5 groups of 40 people each, which is a total of 200 people. Any additional guests can be accommodated by purchasing extra packages of buns and hotdogs. So, the answer is 40 guests.
Therefore, the packages of buns and hotdogs will work evenly for 5 groups of 40 people each, which is a total of 200 people.
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I need help please it will be really helpful!
Answer:
yes sir burrito
Step-by-step explanation:
The value of a car is how much the car is worth. The equation below models the value of a car over time. V = 33,000(0.7) where: V=the value in dollars t = the age of the car in years Which of the statements below best describes this situation?
a. A $33,000 car increases in value by 30% each year.
b. A $33,000 car increases in value by 70% each year.
c. A $33,000 car decreases in value by 30% each year.
d. A $33,000 car decreases in value by 30% each year.
c. A $33,000 car decreases in value by 30% each year.
According to the given equation V = 33,000(0.7), the value of the car (V) is determined by multiplying the initial value of $33,000 by 0.7. This indicates that the car's value decreases over time.
To determine the percentage change in value per year, we can calculate the difference between the initial value and the value after one year, and express it as a percentage of the initial value.
Initial value: $33,000
Value after one year: 33,000(0.7) = $23,100
Percentage change = ((Value after one year - Initial value) / Initial value) * 100
= ((23,100 - 33,000) / 33,000) * 100
= (-9,900 / 33,000) * 100
= -30%
The negative sign indicates a decrease in value. Therefore, option c is the correct statement that describes the situation: A $33,000 car decreases in value by 30% each year.
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7
7 6/7 - 3 1/10 =
0/1
Answer:
Step-by-step explanation:
0 = 0 < 3 1/
10
< 7 < 7 6/
7
0 is equal to 0 is less than 3 1/
10
is less than 7 is less than 7 6/
7
0/
70
= 0/
70
< 217/
70
< 490/
70
< 550/
70
The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.
PLEASE HELP I NEED THE ANSWER ASAP!!!!!
Edit: I already found the answer
Using transformations, the coordinates of the points are given as follows:
A': (1, -2).A'': (2, -4).Rotation of 180º degrees about the originThe rule for a rotation of 180º degrees about the origin is given as follows:
(x,y) -> (-x, -y).
Meaning that the signal of both the x-coordinate and of the y-coordinate is exchanged.
The coordinates of point A are given as follows:
A(-1,2).
Hence the coordinates of A' are given as follows:
A'(1, -2).
DilationThe rule for a dilation with a scale factor of k is given as follows:
(x,y) -> (kx, ky).
Meaning that each coordinate is multiplied by the scale factor.
Considering the scale factor of 2, the coordinates of A'' are given as follows:
A'' (2, -4).
Those three points are plotted on the image given at the end of the answer.
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Liz dives 10 feet below the surface of the water. Then she returns to the surface. Use the drop-down menus to write an expression that represents her overall change in depth.
Explanation
let the surface of the water
What is the measure of <C? Round your answer to the nearest tenth of a degree.
A 73.4
B 74.1
C 106.6
D 100.7
Given:
In triangle \(ABC, AB=9,BC=4,AC=7\).
To find:
The measure of angle C.
Solution:
We have, \(AB=9,BC=4,AC=7\). It means \(c=9,a=4,b=7\).
According to the law of cosines:
\(cos C=\dfrac{a^2+b^2-c^2}{2ab}\)
\(cos C=\dfrac{4^2+7^2-9^2}{2(4)(7)}\)
\(cos C=\dfrac{16+49-81}{56}\)
\(cos C=\dfrac{-16}{56}\)
Taking cos inverse on both sides, we get
\(C=cos^{-1} \dfrac{-16}{56}\)
\(C=106.60155\)
\(C\approx 106.6\)
Therefore, the correct option is C.
Helpplease i’m dying inside i can’t do this anymore
Answer:
i don't get this type of math yet
Step-by-step explanation:
a certain car travels at a constant speed of 40 miles per hour. how far does the car travel in 45 minutes
The car travels 30 miles in 45 minutes with the speed 40 miles/hour with the constant speed.
What is speed?Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path. In other words, velocity is a vector, whereas speed is a scalar value. The distance traveled by a moving object in a specific amount of time is its speed. How quickly something is moving is determined by its speed. The distance traveled by an object in a given amount of time divided by the time gives the object's average speed.
Here,
45 minutes/60 minutes= .75 hours (this gives you the amount of time in hours)
time x speed = distance
.75 hours time x 40 mph speed = 30 miles distance
With a constant speed of 40 miles per hour, the car covers 30 miles in 45 minutes.
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25 POINTS AND BRAINLIEST PLEASE HELP
Q1 - A cell population grows at a rate of 30% every minute. It has a current population of 5,000. What will its population be 10 minutes from now.
Q2 - A town has an annual growth rate of 2%. In 1970, the population was 250 people. What was its population in 2020?
Answer:
ldldlldldlsñspleleldldkkfkdosos
How is this equation properly graphed on the number line?
Given the comopound inequality:
\(x\le7\text{ and x > -1}\)Let's graph the compound inequality.
Here x is greater than -1 but less than or equal to 7.
To graph the inequality, we have:
\(-1Since x is greater than -1, plot an open dot on the point -1.Also, x is less than or greater than 7, plot a closed dot on the point 7.
Then draw a straight line connecting both points.
Hence, we have the graph below:
Find the value of k>0 so that the plane 2x-2y+z=k is tangent to the sphere x²+y²+z²-126z=0.
The value of k that makes the plane 2x-2y+z=k tangent to the sphere x²+y²+z²-126z=0 is k=63.
To find the value of k, we need to determine the point of tangency between the plane and the sphere.
First, we complete theb for the equation of the sphere: x²+y²+(z²-126z)=-126z. Rearranging the terms, we have x²+y²+(z²-126z+63²)=63². Simplifying further, we get x²+y²+(z-63)²=3969.
Comparing this equation with the standard form of a sphere, we find that the center of the sphere is (0, 0, 63) and the radius is √3969=63.
A plane is tangent to a sphere if it intersects the sphere at exactly one point. This means that the distance between the center of the sphere and the plane is equal to the radius.
Using the formula for the distance between a point (x₀, y₀, z₀) and a plane Ax+By+Cz+D=0, which is given by d = |Ax₀ + By₀ + Cz₀ + D| / √(A² + B² + C²), we can substitute the coordinates of the center of the sphere (0, 0, 63) into the equation of the plane 2x-2y+z=k and equate it to the radius:
|2(0) - 2(0) + (63) - k| / √(2² + (-2)² + 1²) = 63.
Simplifying, we have |63 - k| / √(9) = 63.
Taking the square root of both sides and multiplying by √9, we get |63 - k| = 63 * √9.
Since k>0, we consider the positive value of |63 - k|, which is 63 - k = 63 * 3.
Solving for k, we find k = 63 - 63 * 3 = 63(1 - 3) = 63 * (-2) = -126.
However, since k>0, the value of k that makes the plane tangent to the sphere is k = 63.
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6. How many times larger is the first number in the pair than the second? a. 34 is times larger than 3³. times larger than 5². times larger than 78. times larger than 17. times larger than 5*. b. 5³ is_____ c. 710 is d. 176 is e. 5 1⁰ is
3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.
3⁴ / 3³ = (3 × 3 × 3 × 3) / (3 × 3 × 3) = 3
This means that 3⁴ is 3 times larger than 3³.
5³ is 5 times larger than 5².
5³ / 5² = (5 × 5 × 5) / (5× 5) = 5
7¹⁰ is 49 times larger than 7⁸.
7¹⁰/ 7⁸ = 7² =49
17⁶ is 289 times larger than 17⁴.
17⁶ /17⁴ = 289
Hence, 3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.
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