After simplifying, which expressions are equivalent? select three options. (3.4a – 1.7b) (2.5a – 3.9b) (2.5a 1.6b) (3.4a 4b) (–3.9b a) (–1.7b 4.9a) –0.4b (6b – 5.9a) 5.9a – 5.6b
Answers
(3.4a – 1.7b) and (–1.7b 4.9a) and (5.9a – 5.6b) are equivalent expressions.
Which expressions are equivalent after simplification?
The question presents a list of six expressions. We need to select three expressions that are equivalent after simplifying them.
One of the expressions is (3.4a - 1.7b), and another is (-1.7b + 4.9a). These two expressions can be simplified to 2.4a - 1.7b.
Another expression is (2.5a - 3.9b), and another is (-3.9b + a). These two expressions can be simplified to 3.5a - 3.9b.
The third expression is 5.9a - 5.6b, which cannot be simplified further.
The three expressions that are equivalent after simplifying are (3.4a - 1.7b) and (-1.7b + 4.9a), (2.5a - 3.9b) and (-3.9b + a), and 5.9a - 5.6b.
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Related Questions
A ball is launched from a 114.24-foot tall platform. The equation for
the ball's height hat time t seconds after launch is h (t)=-16f² +
59.2t+114.24, where his in feet. What is the maximum height the
ball achieves before landing?
Answers
To find the maximum height the ball achieves before landing, we need to find the vertex of the parabola represented by the equation h(t) = -16t^2 + 59.2t + 114.24. The vertex form of a parabola's equation is y = a(x-h)² + k where (h, k) is the coordinates of the vertex.
We can get the vertex form by completing the square of x term.
h(t) = -16t² + 59.2t + 114.24
h(t) = -16(t² - 3.68t) + 114.24 + 3.68t
h(t) = -16(t-0.92)² + 118.92
The maximum height is 118.92 ft which is k.
Uday Tahlan
Find the value of this:
Answers
please show work too!!
Answers
Answer:
14
Step-by-step explanation:
f(-2)=3*(-2)-2/-2-2=-8/-4=2
f(-1)=3*(-1)-2/-1-2=-5/-3=5/3
f(0)=3*0-2/0-2=-2/-2=1
2+1+5/3=6+3+5=14
Answer:
f(-2)+f(-1)+f(0)= 4.66666666667
Explanation:
The graph f(x)= (3x-2)/(x-2) is a butterfly graph. Unfortunately I entered this into a calculator so I don't know how to express the answer. Hopefully this screenshot will help?
help plssss no links or files or i will report
Answers
Answer: 350/12
I think 29 2/12 can be also true because they didn't simplify the 2/12 to 1/6.
Step-by-step explanation:
You'll have to use the basic formula for volume is length × width × height. The sample box has the area of 23 1/3 which is found by length x width. They give you the height 1 1/4. I am assuming you will need to multiply 23 1/3 by 1 1/4. You'll get 350/12.
If it's simplify further it will be 175/6 or 29 1/6 as a mixed fraction.
Which table represents a linear function? sorry im dumb ;w;
Answers
Answer:
Your answer is the third option
A linear function has to be added or subtracted by the same number every time. The independent variable is x and the dependent variable is y.
So for side "x" 1 is being added to each number and for side "y" is being subtracted by 2
The list below shows the number of miles Chris rode his bike on each of nine consecutive days. 9, 3, 1, 4, 8, 2, 6, 8, 5
Read the questions and write your answer for each part. Make sure to label each part: Part A, Part B and Part C. Write your answers in complete sentences.
Part A: Create a box-and-whisker plot with the above data. You may use the snipping tool to use the number line shown, or you may use a different number line. Upload your box-and-whisker plot using the "insert" or "+" option.
Part B: How far does Chris need to ride on the 10th day to have a mean distance of 6 miles? Show or explain your work.
Part C: On the 10th day, if Chris rides 20 miles, how will this change the mean?
Answers
A box-and-whisker plot needs to be created. To have a mean distance of 6 miles on the 10th day, Chris needs to ride a specific distance. If Chris rides 20 miles on the 10th day, it will change the mean distance.
Part A: To create a box-and-whisker plot, we need to arrange the given data in ascending order: 1, 2, 3, 4, 5, 6, 8, 8, 9. The plot will consist of a box representing the interquartile range (from the first quartile to the third quartile), a line within the box representing the median, and whiskers extending to the minimum and maximum values (excluding outliers if any).
Part B: To determine how far Chris needs to ride on the 10th day to have a mean distance of 6 miles, we need to consider the current total sum of distances and the total number of days. By calculating the difference between the desired mean and the current mean, we can determine the additional distance Chris needs to ride on the 10th day.
Part C: If Chris rides 20 miles on the 10th day, it will change the mean distance. The extent of the change in the mean depends on the initial data. To calculate the new mean, we need to include the additional distance (20 miles) and recalculate the mean using the updated total sum of distances and the total number of days.
Note: Without knowing the total number of days and the current sum of distances, precise calculations for Parts B and C cannot be provided.
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HELP ME WITH THIS WHO ANSWERS CORRECTLY I WILL GIVE BRAINLIEST!
F (n) =? I NEED ODD AND EVEN ANSWERS!!!
Answers
Answer:conjectured that F(n)≈0.72∗n∗f(n). Following that clue, we can find the following identity holds for all cases we tested by trial and error.
F(n)=nf(n)−(n−2)f(n−2)+(n−4)f(n−4)−(n−6)f(n−6)+⋯
where the sequence of summands goes on as long as the summand makes sense.
Step-by-step explanation:
Ben's family went on a car trip. They stopped for gas 4 times. Each time they stopped they spent an average of 0.25 hour at the gas station. On their trip, about how much time did Ben's family spend stopping for gas?
A 0.75 hour
B 1.0 hour
C 1.25 hours
Answers
Answer:
b
Step-by-step explanation:
0.25×4=1
hope this helps
What is the perimeter of a half circle with a radius 22cm .round your answer to the nearest whole number
Answers
Answer:
113.115 cm
Step-by-step explanation:
Formula:
C = 2πr
Given:
Radius: 22 cm
Diameter: 44 cm
The perimeter of a semicircle is the sum of half of the circumference of the circle and its diameter.
Simply plug in your numbers to find the circumference first.
C = 2π(22)
C = 44π cm or 138.23 cm
Then, divide the circumference in half, and add your diameter.
Perimeter = (44π/2) + 44 = 113.115 cm
NEED HELP FASTTTTT!!! WILL GIVE BRAINLIEST!!!
Answers
Answer: -36
Step-by-step explanation:
6. Triangle JKL has vertices J(0, 2), K(-1,2), and
L(0, -3). What are the coordinates of the image of point
K after a dilation with a scale factor of 4?
Answers
Answer:
Point K: (-4, 8)
Step-by-step explanation:
using a scale factor means you will multiply that amount to the coordinates given. in this situation, i multiplied the coordinates of point K (-1, 2) by the scale factor of 4. This multiplication resulted in the new point: (-4, 8).
i hope this helps!
If the original quantity is 5 and the new quantity is 7, what is the percent of change?
Answers
[(7-5)/5]*100 = 40%
Final answer = 40% increase
are utilized to make inferences about certain population parameters; a. samplesb. equationsc. statisticsd. metrics
Answers
The term utilized to make inferences about certain population parameters is a) samples.
In statistical analysis, samples are a subset of a larger population that are selected for observation and analysis. By studying the sample, statisticians can make inferences about the larger population from which it was drawn. This allows for predictions to be made about the entire population, based on information gathered from a smaller subset.
Equations and metrics are important in statistical analysis, but they are not used to make inferences about population parameters. Equations are used to model relationships between variables and to test hypotheses, while metrics are used to quantify the properties of data sets.
Statistics, on the other hand, is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. Statistics is used to make sense of data and to draw conclusions about the larger population from which the sample was drawn.
In summary, samples are an important tool for statisticians to make inferences about certain population parameters, and statistics is the field that studies these methods of data analysis.
Therefore, the correct answer is a) samples.
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A recipe for cookies includes 1/4 cup of brown sugar for 12 cookies. How many cup of sugar are needed for 60 cookies
Answers
Given the word problem, we can deduce the following information:
1. A recipe for cookies includes 1/4 cup of brown sugar for 12 cookies.
To determine the
A car can hold 12 gallons of gasoline. How many quarts is that? How many cups?
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Using the Animated Figure 9.8, for an alloy of composition 25 wt% Sn - 75 wt% Pb, select the phase(s) present and their composition(s) at 200°C.
α = 17 wt% Sn - 83 wt% Pb; β = 55.7 wt% Sn - 44.3 wt% P
L = 25 wt% Sn - 75 wt% Pb; α = 25 wt% Sn - 75 wt% Pb
α = 17 wt% Sn - 83 wt% Pb; L = 55.7 wt% Sn - 44.3 wt% Pb
α = 18.3 wt% Sn - 81.7 wt% Pb; β = 97.8 wt% Sn - 2.2 wt% Pb
Answers
For an alloy with a composition of 25 wt% Sn - 75 wt% Pb at 200°C, both the liquid (L) and alpha (α) phases are present. (option b)
The given alloy composition is 25 wt% Sn - 75 wt% Pb. To determine the phases present and their compositions at 200°C, we can refer to the phase diagram represented by the Animated Figure 9.8.
According to the provided options, the correct answer is:
L = 25 wt% Sn - 75 wt% Pb; α = 25 wt% Sn - 75 wt% Pb.
This means that at 200°C, the alloy is composed of two phases: liquid (L) and alpha (α) phase. Both phases have the same composition of 25 wt% Sn and 75 wt% Pb.
The alpha phase (α) represents the solid solution of Sn and Pb atoms in a specific crystal structure. It is the stable phase at lower temperatures. The alpha phase is also known as the solid solution or the continuous phase, where the atoms of both Sn and Pb are randomly distributed within the crystal lattice. In this case, the alpha phase has a composition of 25 wt% Sn and 75 wt% Pb.
Hence the correct option is (b).
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Chloe is making hair bows to sell at a craft show. The table shows the cost per yard of different types of ribbon. Chloe bought 5.5 yards of satin ribbon and 3.8 yards of tulle. Chloe has a $10 bill to buy the materials she needs. Does she have enough money to buy the necessary materials for her hair bows?
Answers
Which of the following could be in section D? A.√99 B.60/15 C.-20 D.9.2
Answers
Answer:
A. and B.
Step-by-step explanation:
A natural number by definition is a number that spans from 1 to 100 it can't have decimals or negative numbers.
A. Natural number, the square root of 99 is 11 which is in the span of 1 to 100.
B. includes a natural number when you divide 60/15 you get 4 which is in the span of 1 to 100.
C. Incorrect, includes a negative number so it's not a natural number.
D. Not a natural number it includes decimals.
A restaurant ordered seven packages of cups. over the weekend they used up to 3 full packages, and today they used up to 90 cups. now two packages plus 210 loose cups remain. how many cups are in each package?
Answers
Each package contains 90 cups.
What is the basic operation in mathematics?
The basic operations in mathematics are addition, subtraction, multiplication, and division. These operations are used to perform calculations and solve problems involving numbers and quantities.
The restaurant used 3 + 2 =5 packages of cups over the weekend and today.
Therefore, the restaurant ordered 7 - 5 = 2 packages of cups.
The restaurant has 2 * 90 =180 cups remaining in the packages.
Therefore, each package has 180/2 = 90 cups.
Hence, each package contains 90 cups.
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In baseball, the lengths of the paths between consecutive bases are 90 feet, and the paths form right angles. The player on first base tries to steal second base. How far does the ball need to travel from home plate to second base to get the player out? round your answer to the nearest tenth.
Answers
Answer:
AC = 127,26 f distance from home plate to second base
Step-by-step explanation:
Let call A , B , C Home plate, first base and second base respectively
These three point form a right triangle with legs ( AB = BC = 90 feet)
we have an isosceles triangle with a right angle and two angles of 45⁰
So we need to compute distance AC (hypotenuse)
AC² = AB² + BC² ⇒ AC² = 2AB² ⇒ AC = AB √2
AC = 90 * 1,414
AC = 127,26 f
what are the terms a0, a1, a2, and a3 of the sequence {an}, where an equals a) 2n 1? b) (n 1)n 1? c) n/2? d) n/2 n/2?
Answers
When a\(_{n}\) = \(2^{n}\)+ n, a₀ = 1, a₁ = 3, a₂ = 6, and a₃ = 11
When a\(_{n}\) = n^(n+1)!, a₀ = 0, a₁ = 2, a₂ = 2⁶, and a₃ = 3²⁴
When a\(_{n}\) = [n/2], a₀ = 0, a₁ = 1/2, a₂ = 1, and a₃ = 3/2
When a\(_{n}\) = [n/2] + [n/2], a₀ = 0, a₁ = 1, a₂ = 2, and a₃ = 3/2
Number sequence
A number sequence is a progression or a list of numbers that are directed by a pattern or rule.
Here,
a₀, a₁, a₂, and a₃ are terms of a sequence
from option a, a\(_{n}\) = \(2^{n}\)+ n
⇒ a₀ = 2⁰+ 0 = 1+0 = 1
⇒ a₁ = 2¹+ 1 = 2+1 = 3
⇒ a₂, = 2²+ 2 = 4+2 = 6
⇒ a₃ = 2³+ 3 = 8 +3 = 11
from option b, a\(_{n}\) = n^(n+1)!
⇒ a₀ = 0^(0+1)! = 0
⇒ a₁ = 1^(1+1)! = 2² = 2
⇒ a₂, = 2^(2+1)! = 2^(3)! = 2⁶ [ ∵ 3! = 6 ]
⇒ a₃ = 3^(3+1)! = 3^(4)! = 3²⁴ [ ∵ 4! = 24 ]
from option c, a\(_{n}\) = [n/2]
⇒ a₀ = [0/2] = 0
⇒ a₁ = [1/2] = 1/2
⇒ a₂, = [2/2] = 1
⇒ a₃ = [3/2] = 3/2
from option d, a\(_{n}\) = [n/2] + [n/2]
⇒ a₀ = [0/2] + [0/2] = 0
⇒ a₁ = [1/2] + [1/2] = 1/2 + 1/2 = 1
⇒ a₂, = [2/2] + [2/2] = 1 + 1 = 2
⇒ a₃ = [3/2] + [3/2] = 6/4 = 3/2
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The Complete Question is -
What are the terms a₀, a₁, a₂, and a₃ of the sequence {a\(_{n}\)}, where a\(_{n}\) is where a\(_{n}\) equals
a. \(2^{n}\) + n b. n^(n+1)!
c. [n/2] d. [n/2] + [n/2]
volume of composite figures
Answers
✍️Answer:
The volume of the figure is 381 cubic in✄ ---------------\(v=L*W*H\)\(v=(16)(7)(3)+1/2(3)(5)(6)\)\(v=336+45\)\(v=381 in^3\)✮✮✮✮✮✮✮✮✮
hope it helps...
have a great day!!
Someone help me solve this
Answers
Answer:
x=-2
Step-by-step explanation:
1.1x +1.2x -5.4 = -10
Combine like terms
2.3x -5.4 = -10
Add 5.4 to each side
2.3x -5.4+5.4 = -10+5.4
2.3x = -4.6
Divide each side by 2.3
2.3x/2.3 = -4.6/2.3
x= -2
You look at an ant under a magnifying glass. Find the actual length of the ant. The image of the ant is nine times the ants actual size and has a length of 3.6 cm.
Answers
The ant's actual length is 32.4 cm.
What is a scale factor?
The scale factor of a shape refers to the amount by which it is increased or shrunk. It is applied when a 2D shape, such as a circle, triangle, square, or rectangle, needs to be made larger. K is the scaling factor for x in the equation y = Kx.
Here, we have
The image of the ant is nine times the ant's actual size and has a length of 3.6 cm
The basic formula to find the scale factor is :
Scale factor = The measure of the image ÷ The measure of the object
Let the length of the image of the ant be x, then the length of the ant will be 8x
So, the ratio is x:9x = 1:9
The scale factor = 1/9
The measure of the image = 3.6
Now, 1/9 = 3.6/The measure of the object
The measure of the object = 3.6×9
= 32.4 cm
Hence, the actual length of the ant is 32.4.
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Help me please! Or else
Answers
Answer: y = 5/9x + 32
Step-by-step explanation:
2+3x=8 Solve for X?
Answers
Answer:
x=2
Step-by-step explanation:
If 'p' and 'q' are natural numbers and 'p' is the multiple of 'q', then what is the HCF of 'p' and 'q'?
Answers
If 'p' and 'q' are natural numbers and 'p' is the multiple of 'q', then what is the HCF of 'p' and 'q' is 'q'.
What is HCF?
Highest Common Factor is the acronym for this term. The highest factor that may divide two integers evenly is known as the HCF of two numbers. HCF can be assessed using two or more numbers. It is the most powerful divisor for any pair of integers that can divide the inputted numbers equally or fully.
If 'p' is the multiple of 'q', then we can write -
p = nq
where 'n' is a natural number.
To find the HCF of 'p' and 'q', we can use the Euclidean algorithm.
Step 1: Divide 'p' by 'q'
nq/q = n
Step 2: Find the remainder when 'q' is divided by 'n'
q = n × quotient + remainder
where quotient is the result of the division and remainder is the remainder.
Step 3: Repeat the previous step with 'n' and 'remainder' instead of 'q' and 'n'.
n = remainder × quotient1 + remainder1
Step 4: Continue repeating the previous step until the remainder is 0.
If the remainder is 0, then the HCF is the last non-zero remainder.
Since 'p' is a multiple of 'q', the remainder when 'p' is divided by 'q' is 0.
Therefore, the HCF of 'p' and 'q' is 'q'.
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if Tanya has $43.64 and she wants to buy a dress for her and her 5 friends, and each dress costs $7.50, how many dresses can she buy and how much more money would she need to buy all 6?
Answers
The cost of 6 dresses is 7.50 x 6 = 45 (more than 43.64)
So, Tanya can only buy 5 dresses.
If she wants to buy 6 dresses, she has to pay 45 - 43.64 = $1.36 more.
The students at Woodward elementary voted for school mascot. The falcon won with 5/8 of the votes. If 536 students voted for a mascot, how many students voted for the falcon?
Answers
P Q P⊃Q
T T T
T F F
T F T
F T T
Going from top to bottom, how would you fill in that column?
a. TFFF
b. TTFF
c. TFTF
d. TFTT
Answers
When P is true, and Q is false, the proposition P ⊃ Q is false. Therefore, the answer is TFTT. The correct answer is option d. TFTT.
The given truth table for the compound proposition P ⊃ Q is: P Q P⊃QT T T T T F FT F T T F
The conditional P ⊃ Q implies that whenever the antecedent P is true, then the consequent Q is true as well.
This implies that the only time the conditional P ⊃ Q is false is when the antecedent is true, but the consequent is false.
Since we see in the truth table that when P is true, and Q is true, the proposition P ⊃ Q is also true.
However, when P is true, and Q is false, the proposition P ⊃ Q is false. Therefore, the answer is TFTT.
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