Match each expression in the first list with an equivalent expression from the second list.
Answers
We use the distributive property
\(5x+5-2x+11\)Then, we reduce like terms.
\(3x+16\)Therefore, expression A is equivalent to expression 4.
Expression B is\(2x+2+x+5\)We reduce like terms
\(3x+7\)Therefore, expression B is equivalent to 2 because
\(\frac{1}{2}(6x+14)=3x+7\)Expression C is\(\frac{-3}{8}x-9+\frac{5}{8}x+1\)We reduce like terms
\(\frac{-3x+5x}{8}-8=\frac{2x}{8}-8=\frac{x}{4}-8\)Therefore, expression C is equivalent to expression 1.
Expression D is \(2.06x-5.53+4.98-9.02\)We know that
\(2.06x+(-5.53)+4.98+(-9.02)=2.06x-5.53+4.98-9.02\)Therefore, expression D is equivalent to expression 5.
Expression E is\(99x+44\)If we express each number as factors, we have
\(99x+44=11\cdot9x+11\cdot4=11(9x+4)\)Therefore, expression E is equivalent to expression 3.
Related Questions
n/3 = 13;n =39 how do you solve is it a solution or equation???
Answers
Answer:
n=9
Step-by-step explanation:
If A:B = 1/2:1/3, B:C = 1/5:1/3, then (A+B):(B+C) is equal to?
Answers
Answer:
Hence, the value of (A+B):(B+C) is equal to 15:16.
Step-by-step explanation:
In attachment I have answer this problem↑↑.
If you have any doubt, then you can ask me in the comments.
Hope this helps!!
Sum of -5a + 6 and 3a + 2
Answers
Answer:
-2a + 8
You can only add whole numbers with each other and variables only with each other. Thus, the sum cannot be a whole number. Solve for (-5a + 3a) first then (6 + 2).
(-5a + 3a) + (6 + 2)
-2a + 8
How do you solve this??
21 a(little 6) b(little 5)
————————————
7 a(little 3) b
Answers
\((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)
To solve this problemWe can use the rules of exponents and simplify the terms with the same base.
Dividing the coefficients: 21 / 7 = 3.
For the variables, you subtract the exponents: \(a^6 / a^3 = a^(^6^-^3^) = a^3.\)
Similarly,\(b^5 / b = b^(5-1) = b^4\).
Putting it all together, the simplified expression is:
\(3a^3b^4.\)
Therefore, \((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)
Learn more about rules of exponents here : brainly.com/question/11975096
#SPJ1
Jackson places the mirror on the ground so that he is able to look at the mirror and see the top of the mountain.
The mirror is 5 feet in front of him and is approximately 40 feet from the base of the mountain. Jackson is 6’4” tall. Approximately how high is the top of the mountain?
Answers
Answer:
50'8"
Step-by-step explanation:
In this scenario, the height of the object is proportional to its distance from the mirror. The mountain is 40'/5' = 8 times as far from the mirror as Jackson, so it will be 8 times as tall as Jackson:
8 × 6'4" = 48'32" = 50'8"
The mountain is 50 feet 8 inches tall.
what is 3 2/3+2.3 the 2.3 is a repeating decimal
Answers
Answer:
5.96 with the repeating sign over the 6
Step-by-step explanation:
Answer:
6.
Step-by-step explanation:
Convert the decimal to a fraction:
2.33333.... = 2 1/3, so it is:
3 2/3 + 2 1/3
= 3 + 2 + 2/3 + 1/3
= 3 + 2 + 1
= 6.
Anakin knows the y intercept of a parabola is (0, 5). Does he have enough information to write the equation of the parabola?
Answers
Step-by-step explanation:
No, having only the y intercept gives us the c value in the quadratic equation.
The answer is :
↬ He doesn't have enough infoStep-by-step explanation:
To write the equation of a parabola, you need the equation \(\bf{y=ax^2+bx+c}\). You need to know the values of a, b, and c in order to write the equation. So knowing only the y-intercept (0, 5) will not suffice. He knows where the parabola intersects the y-axis yet he isn't aware of the appearance of the parabola and how to draw it.
Hence, he doesn't have enough info.At Lucy's Beading Boutique, 40% of the 70 beads on clearance are plastic. How many plastic beads are there on clearance?
Answers
40/100 x 70
= 2800/100
Cancel out the 0’s
Ans: 28 beads
Answer the following questions with TRUE or FALSE. It is good practice to explain your answers. (a) The intersection of two events A and B can be larger than the union of the same two events A and B (b) The probability of a single event A must be smaller than or equal to the union of two events A and B (c) The condition probability of A given B must be smaller than the intersection of the same two events A and B
Answers
a) The statement " The intersection of two events A and B can be larger than the union of the same two events A and B" is False.
b) The statement " The probability of a single event A must be smaller than or equal to the union of two events A and B" is False.
c) The statement " The condition probability of A given B must be smaller than the intersection of the same two events A and B" is False.
(a) False. The intersection of two events A and B represents the set of outcomes that are common to both A and B, while the union of the same two events A and B represents the set of outcomes that belong to either A or B or both. Hence, it cannot be larger than the union of A and B.
(b) False. The probability of an event A must be between 0 and 1 (inclusive), while the union of two events A and B represents the set of outcomes that belong to either A or B or both. The probability of the union of A and B is the sum of the probabilities of A and B, which can be larger than the probability of A.
(c) False. The conditional probability of A given B, denoted as P(A|B), represents the probability of event A occurring given that event B has already occurred. Since the intersection of A and B must be less than or equal to 1, the conditional probability of A given B must also be less than or equal to 1.
To learn more about intersection click on,
https://brainly.com/question/14019104
#SPJ4
2. Simplify (2/3)^3 .
Answers
Answer:
8/27.
Step-by-step explanation:
Given expression: \((2/3)^3\)
To correctly simplify this expression, you must first understand the role of exponents and base numbers.
The base number is the number being multiplied.
The exponent tells the base number how many times it should be multiplied by itself.
In this case, 2/3 is the base number and 3 is the exponent.
Exponential notations will always be written like this: \(x^n\)
\(x-base\)
\(n-exponent\)
Now that we know the roles of the exponent and base number, we can correctly simplify this expression.
\((2/3)^3\)
\(=2/3*2/3*2/3\)
\(=8/27\)
\(\to \ (2/3)^3=8/27\)
Therefore, the value of \((2/3)^3\) is 8/27.
Plan a controlled experiment that uses the simulation to investigate how changing the mass of an object changes its acceleration. The net force on the object must stay the same. Record your plan here.
Answers
It is possible to measure how acceleration changes with mass by throwing objects with different mass from the same height and measuring the acceleration.
Important factors for the experiment:This experiment requires you to measure how acceleration changes if the mass changes. This implies you need to consider the following factors:
Acceleration: This factor is the one you will measure in your experiment.Mass: This factor is the one you will need to control, this implies using objects from different masses and comparing if mas has any effect on acceleration.Other: Net force, wind, etc. are other factors that need to be constant to prevent them affect the results.Steps for the experiment:
Choose a specific heigh: One of the ways of measuring acceleration is to throw objects and determine the acceleration as they fall, so the first step will be to establish a height.Throw different objects with different masses: You can begin with light objects and move into heavier objects.Measure acceleration: Every time you throw an object, measure acceleration using the formula A = change in velocity/ time.Learn more about acceleration in: https://brainly.com/question/12134554
Solve 2+3(-4)-6 Show work please
Answers
Answer:
-16Step-by-step explanation:
2+3(-4)-6
2-3*4-6
2-12-6
-16
Hope this helps! Have a great day. Remember your amazing and you got this! Alycia <3
Answer:
-16
Step-by-step explanation:
3(-4)= -12
-12 + -6 = -18
-18 + 2 = -16
c: happy to help
HELP!! WILL GIVE BRAINLIEST
Answers
Answer:
+1,-15
Step-by-step explanation:
Answer:
-15/1, It is linear, and has a constant rate of change.
Step-by-step explanation:
A 30 microFarad capacitor is connected into a 240 V, 60 Hz circuit. What is the current flow in this circuit?
Answers
We must determine the voltage's rate of change with regard to time. The voltage changes sinusoidally with time in an AC circuit. the current flow in the circuit is \(3.817\) Amperes.
What is the current flow in the circuit?To calculate the current flow in the circuit, we need to use the formula:
\(I = C x dV/dt\)
Where:
I is the current flow in the circuit (in Amperes)
C is the capacitance of the capacitor (in Farads)
dV/dt is the rate of change of voltage with respect to time (in Volts per second)
First, we need to calculate the rate of change of voltage with respect to time. In an AC circuit, the voltage varies sinusoidally with time. The formula for voltage in an AC circuit is:
\(V = Vm sin(ωt)\)
Where:
Vm is the maximum voltage (in Volts)
ω is the angular frequency (in radians per second)
t is the time (in seconds)
We know that the voltage is 240 V and the frequency is 60 Hz. We can use these values to calculate Vm and ω:
\(Vm = √2 x Vrms = √2 x 240 = 339.4 V\)
\(ω = 2πf = 2π x 60 = 377 rad/s\)
Now, we can calculate \(dV/dt:\)
\(dV/dt = ω Vm cos(ωt)\)
At \(t = 0\) (i.e. when the voltage is at its maximum), \(cos(ωt) = 1. Therefore, dV/dt = ω Vm = 127,234 V/s.\)
Finally, we can calculate the current flow:
\(I = C x dV/dt = 30 x 10^-6 F x 127,234 V/s = 3.817 A\)
Therefore, the current flow in the circuit is 3.817 Amperes.
Learn more about circuit here:
https://brainly.com/question/21505732
#SPJ9
what is the volume of this figure
( no looking up the answer)
Answers
Answer:
l×b×h
5m × 4m × 10m
200m^3
Step-by-step explanation:
Volume of the figure
\( = 10 \times 5 \times 4\)
\( = 200m {}^{3} \)
Use the relationship represented in this Venn diagram to identify the true statement.
A. All trapezoids are rhombuses
B. All rhombuses are trapezoids
C. No trapezoids are rhombuses
D. No rhombuses are trapezoids
Answers
The true statement based on the relationship depicted in the Venn diagram is that no rhombuses are trapezoids (option D).
To identify the true statement using the relationship represented in the Venn diagram, we need to analyze the overlapping regions and the properties of the shapes involved.
A trapezoid is a quadrilateral with at least one pair of parallel sides, while a rhombus is a quadrilateral with all sides of equal length. Let's evaluate the options:
A. All trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region between the trapezoids and rhombuses shows that there are trapezoids that are not rhombuses. Therefore, option A is incorrect.
B. All rhombuses are trapezoids: This statement is true based on the diagram. The entire region representing rhombuses is also included within the region representing trapezoids. Every rhombus can be considered a trapezoid because it has at least one pair of parallel sides. Thus, option B is correct.
C. No trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region indicates that there are trapezoids that are indeed rhombuses. Therefore, option C is incorrect.
D. No rhombuses are trapezoids: This statement is true based on the diagram. There is no overlap between the regions representing rhombuses and trapezoids, implying that no rhombus can be considered a trapezoid. Hence, option D is correct.
for such more question on trapezoids
https://brainly.com/question/22351006
#SPJ8
Please help I’ll upvote your work
Answers
The solution set of f(x) > 0 is x ∈ (-2, 8).
What is the set of the function?
To find the solution set of f(x) > 0, we need to first determine the critical values of x where f(x) changes sign.
Let's start by finding the domain of the function:
x² - 6x - 16 ≠ 0
We can solve for x by using the quadratic formula:
x = [6 ± √(6² + 4(16))]/2 = [6 ± √52]/2 = 3 ± √13
So the domain of f(x) is (-∞, 3 - √13) U (3 + √13, ∞).
Now let's factor the numerator and denominator of f(x):
f(x) = (x + 10)/[(x - 8)(x + 2)]
The critical points occur where the numerator or denominator of f(x) changes sign.
The numerator changes sign at x = -10, and the denominator changes sign at x = -2 and x = 8.
Learn more about domain of functions here: https://brainly.com/question/28934802
#SPJ1
NO LINKS!!! URGENT HELP PLEASE!!!
Please help me with #20, 22, and 24
Answers
Answer:
see the work below
Step-by-step explanation:
20.) x = √32²+32² = √2048 = 45.25
y = 32(sin60) = 27.7
z = 32(cos60) = 16
22.) x = 7√3 / cos60 = 24.25 = 14√3
y = 14√3 / tan30 = 42
sin30 = 14√3 / (z+7√3)
z + 7√3 = 14√3 / sin30
z = 14√3/√sin30 - 7√3 = 36.37 = 21√3
24.) z = 18(tan30) = 10.4
h = √10.4² + 18² = √432 = 20.785
x = y
2x² = 20.785²
x = √20.785²/2 = 14.7
y = 14.7
Answer:
Question 20:
x = 32√2 unitsy = 16√3 unitsz = 16 unitsQuestion 22:
x = 14√3 unitsy = 42 unitsz = 21√3 unitsQuestion 24:
x = 6√6 unitsy = 6√6 unitsz = 6√3 unitsStep-by-step explanation:
45-45-90 triangleA 45-45-90 triangle is a special right triangle where the measures of its sides are in the ratio 1 : 1 : √2. Therefore, the formula for the ratio of the sides is b : b : b√2 where:
b is each side opposite the 45 degree angles (legs).b√2 is the side opposite the right angle (hypotenuse).30-60-90 triangleA 30-60-90 triangle is a special right triangle where the measures of its sides are in the ratio 1 : √3 : 2. Therefore, the formula for the ratio of the sides is c: c√3 : 2c where:
c is the shortest side opposite the 30° angle.c√3 is the side opposite the 60° angle.2c is the longest side (hypotenuse) opposite the right angle.Question 20Side x is the hypotenuse of a 45-45-90 triangle with congruent legs measuring 32 units. Therefore b = 32.
\(\implies x=b\sqrt{2}=32\sqrt{2}\; \sf units\)
Side y is the side opposite the 60° angle in a 30-60-90 triangle with a hypotenuse of 32 units. Therefore, 2c = 32 so c = 16.
\(\implies y = c\sqrt{3}=16\sqrt{3}\; \sf units\)
Side y is the side opposite the 30° angle in the same 30-60-90 triangle.
\(\implies z=c = 16\; \sf units\)
Question 22Side x is the hypotenuse of a 30-60-90 triangle with the leg opposite the 30° angle measuring 7√3 units. Therefore c = 7√3.
\(\implies x=2c=2 \cdot 7 \sqrt{3}=14\sqrt{3}\; \sf units\)
Therefore, other leg of the same triangle (opposite the 60° angle) measures c√3 = 7√3 · √3 = 21 units.
Side y is the hypotenuse of a 30-60-90 triangle with the leg opposite the 30° angle measuring 21 units. Therefore c = 21.
\(\implies y=2c=2 \cdot 21 = 42\; \sf units\)
Side z is the leg of the same 30-60-90 triangle opposite the 60° angle.
\(\implies z=c\sqrt{3}=21\sqrt{3}\; \sf units\)
Question 24Side z is the side opposite the 30° angle in a 30-60-90 triangle with the other leg (opposite the 60° angle) measuring 18 units. Therefore, c√3 = 18, so c = 18/√3 = 6√3 units.
\(\implies z=c = 6\sqrt{3}\; \sf units\)
Therefore, the hypotenuse of the same triangle measures 2c = 12√3 units.
Sides x and y are the congruent legs of a 45-45-90 triangle with hypotenuse measuring 12√3 units. Therefore b√2 = 12√3, so b = 6√6.
\(\implies x=6 \sqrt{6}\; \sf units\)
\(\implies y=6 \sqrt{6}\; \sf units\)
Solve the following A/5+3=8
Answers
Answer:
Your answer is going to be a=1
Step-by-step explanation:
First things first, we want all the letters on the left side and all the numbers on the right side. So, you have to get rid of the three. In order to get rid of the three you have to take it away, so A/5=8-3. Then it will become A/5=5. After that you want to have A all by itself so divide it by 5, A/5=5/5. Then it will become A=1. Hope this helps! :)
Answer:
A=25
Step-by-step explanation:
A/5+3=8
A/5+3-3=8-3
see upper side photo
My brain is fried this is due in the next 10 minutes and still haven't understood this work Need help ASAP
Will make you brainlist
Can someone help me graph it and to tell me where to put it?( put the order pairs on how to plot it)
Answers
Answer:
(0,1) (-1,1)
Step-by-step explanation:
help meeeee plsssssss
Answers
Answer:
5.5
Step-by-step explanation:
b/c u see if the first triangle that it is same on both side so that mean ur tiny trapezoids would be 5.5 and also their congruent
1. A bird is flying 1200 feet above the sea level. At a particular point, it drops 500 feetto observe a mouse, and then it rises 200 foot back up. How many feet above sealevel is the bird now?
Answers
ANSWER
900 feet
EXPLANATION
We have that the bird is initially flying 1200ft above sea level. Then, it drops 500ft closer to the sea level and finally, rises 200ft back up,
When it drops 500ft, the new altitude of the bird is,
\(1200ft-500ft=700ft\)And then, since it rises 200ft back up, the final altitude of the bird is,
\(700ft+200ft=900ft\)Hence, the bird is now flying 900 feet above sea level.
someone help with this question please
Answers
Answer:
m=1/6
Step-by-step explanation:
Match each value on the left with the number on the right that includes that value.
Answers
this is ez
2 thousands = 72.000
6 hundreds = 1.549.606
4 millions = 4.630.114
9 ten thousands = 298.278
1 hundred thousand = 177.009
Please Solve, Thank you!
Answers
Answer:
1711
Step-by-step explanation:
\(4\cdot(14+8)^2-9\cdot(9-4)^2\\=4\cdot(22)^2-9\cdot(5)^2\\=4(484)-9(25)\\=1936-225\\=1711\)
Make sure to follow order of operations!
What is the approximate length of side GF in triangle EFG?
Answers
Answer:
41.93 degrees
Step-by-step explanation:
pless i really need help
Answers
Perimeter of the parallelogram = 210 in.
Area of parallelogram = 2,484 in.²
What are the Perimeter and Area of a Parallelogram?Perimeter of parallelogram = 2(a + b), where a and b are its sides.
Area of parallelogram = (b)(h), where h is its height and b is the length of one of its bases.
Given:
a = 51 in.
b = 54 in.
h = 46 in.
Perimeter of the parallelogram = 2(54 + 51) = 210 in.
Area of parallelogram = (b)(h) = (54)(46) = 2,484 in.²
Learn more about parallelogram on:
https://brainly.com/question/3050890
#SPJ1
Point A is at (2, -8) and point C is at (-4, 7).
Find the coordinates of point B on AC such that the ratio of AB to BC is 2:1.
Answers
Answer:
(-2, 2)
Step-by-step explanation:
Given:
Point A is at (2, -8) and point C is at (-4, 7)Difference of coordinates:
Δx = 2 - (-4) = 6Δy = - 8 - 7 = - 15The ratio of AB to AC is 2:1. So:
AB = 2*AC/3 and BC = AC/3Then coordinates of point B should be 2/3 from the point A:
x = 2- 6*2/3 = 2 - 4 = -2y = - 8 - (-15)*2/3 = -8 + 10 = 2So point B has coordinates of (-2, 2)
Question 14 (Essay Worth 12 points)
(Comparing Data HC)
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Sky View School
9, 7, 2,0
8, 7, 6, 5, 5, 5, 4, 3, 1, 0
0
1
South Lake School
5,8
0, 1, 2, 6, 6, 8
2
0 3
Key: 2|1|0 means 12 for Sky View and 10 for South Lake
5, 5, 6, 7, 8
0,6
Part A: Calculate the measures of center. Show all work. (5 points)
Part B: Calculate the measures of variability. Show all work. (5 points)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (2 points)
7
Answers
To find the measures of center, we need to determine the median for each school.
For Sky View School:
Arrange the data in order: 0, 0, 1, 2, 3, 4, 5, 5, 5, 6, 7, 7, 8, 9
The median is the middle value, which is 5.
For South Lake School:
Arrange the data in order: 0, 0, 1, 2, 2, 5, 6, 6, 8
The median is the middle value, which is also 5.
Therefore, the median class size for both schools is 5.
Part B: Measures of variability
To find the measures of variability, we need to determine the range and interquartile range (IQR) for each school.
For Sky View School:
The smallest value is 0 and the largest value is 9, so the range is 9 - 0 = 9.
To find the IQR, we need to find the first and third quartiles. The median is 5, so the first quartile is the median of the lower half, which is (0 + 1 + 2 + 3 + 4)/5 = 2. The third quartile is the median of the upper half, which is (6 + 7 + 8 +9)/4 = 7.25 (rounded to two decimal places).
Therefore, the IQR is 7.25 - 2 = 5.25.
For South Lake School:
The smallest value is 0 and the largest value is 8, so the range is 8 - 0 = 8.
To find the IQR, we need to find the first and third quartiles. The median is 5, so the first quartile is the median of the lower half, which is (0 + 0 + 1 + 2)/4 = 0.75 (rounded to two decimal places). The third quartile is the median of the upper half, which is (6 + 6 + 8)/3 = 6.67 (rounded to two decimal places).
Therefore, the IQR is 6.67 - 0.75 = 5.92 (rounded to two decimal places).
Part C: Choosing a school based on class size
If you are interested in a smaller class size, South Lake School is the better choice. This is because the range and IQR for South Lake School are smaller than those for Sky View School, indicating that the class sizes at South Lake School are more consistent and less variable. Additionally, the largest class size at South Lake School is 8, while the largest class size at Sky View School is 9, further indicating that South Lake School may have smaller class sizes overall.
Measures of center for Sky View School:
Mean = (0+1+2+3+4+5+5+5+6+7+7+8+9)/13
Mean = 4.8
Median = 5
Measures of center for South Lake School:
Mean = (0+1+2+2+3+5+6+6+8+8)/10
Mean = 4.1
Median = 5
Part B:
Measures of variability for Sky View School:
Range = 9 - 0 = 9
Interquartile Range (IQR) = Q3 - Q1 = 7 - 2 = 5
Variance = [(0-4.8)^2 + (1-4.8)^2 + (2-4.8)^2 + (3-4.8)^2 + (4-4.8)^2 + (5-4.8)^2 + (5-4.8)^2 + (5-4.8)^2 + (6-4.8)^2 + (7-4.8)^2 + (7-4.8)^2 + (8-4.8)^2 + (9-4.8)^2]/12
Variance = 7.6
Standard Deviation = √7.6
Standard Deviation = 2.76
Measures of variability for South Lake School:
Range = 8 - 0 = 8
Interquartile Range (IQR) = Q3 - Q1 = 6 - 1 = 5
Variance = [(0-4.1)^2 + (1-4.1)^2 + (2-4.1)^2 + (2-4.1)^2 + (3-4.1)^2 + (5-4.1)^2 + (6-4.1)^2 + (6-4.1)^2 + (8-4.1)^2 + (8-4.1)^2]/9
Variance = 6.45
Standard Deviation = √6.45
Standard Deviation = 2.54
Part C:
If you are interested in a smaller class size, South Lake School is a better choice for you. This is because the measures of center and variability for South Lake School are both smaller than those for Sky View School.
The blue dot is at what value on the number line?
???????
Answers
Answer:
The blue dot is -19
Step-by-step explanation:
Since every 2 ticks are worth 6 (|-10|-|-4|=6), then one tick is worth 3.
We are going backward, so we can count backward.
We have to go down 3 ticks, so -10-3=-13; -13-3=-16; -16-3=-19.
The blue dot is -19
PLEASE MARK AS BRAINLIESTAnswer: The blue dot equals to -19.
Step-by-step explanation:
On the number line, there are the numbers -10 & -4.
-7 would fit in the middle of them. That means the number line goes by minus 3.
Count -10 , -13, -16, then you get on the the blue dot which is -19.
Therefore, -19 is the answer.
PLEASE MARK AS BRAINLIEST