100 points and brainlyest
Part 2 - Writing Equivalent Expressions - You will now use mathematical properties to create two expressions that are equivalent to Sara’s expression.
Property Used
Original/Changed Expression
New expression with property used
Commutative Property of Addition (rearrange the added terms in the parentheses to group like terms together.)
5(2j + 3 + j)
Combine Like terms after rearranging them
(put your answer from the previous row here)
Distributive Property of multiplication over addition (multiply the number outside the parentheses)
(put your answer from the previous row here)
(Use this final expression that you write in this box on the next slide.)
Answers
Answer:
Commutative Property of Addition: to change the order of numbers in an addition or multiplication operation does not change the sum or the product.
New expression with property used: 5(2j + j + 3)
Combine like terms: when combining like terms, add their coefficients
The like terms are 2j and j. Add their coefficients: 2 + 1 = 3, which means that the combination of like terms is 3j.
New expression with property used: 5(3j + 3)
Distributive Property of multiplication over addition: multiplying a sum by a number gives the same result as multiplying each added term by the number and then adding the products together.
So 5(3j + 3) = 5 · 3j + 5 · 3 = 15j + 15
New expression with property used: 15j + 15
Related Questions
An object moves in simple harmonic motion with period 7 minutes and amplitude 17cm . At time minutes, its displacement from rest is 0m , and initially it moves in a positive direction.
Give the equation modeling the displacement as a function of time .
Answers
Answer:
Midline will be at -13 which is your vertical shift(d)
Amplitude (a) -s 13 si will move up to 0, back to midline(-13), down to -26, and then back to midline to complete the cycle. This would conform to a sine graph
There is no phase shift
The period is 6 minutes so b= 2pi/6 or pi/3
Equation therefor is y= 13sin[(pi/3)x] -13
Hope it helps!!!Brainliest pls!!!What is 0.118 in expanded form
Answers
Answer:
zero and one-hundred eighteen-thousandths
Please help me solve this ! Which figure can be formed from the net?
Answers
Answer:
A
Step-by-step explanation:
It is th eonly one with a asquare base and it maches the net.
Have an amazing day!
PLEASE RATE!
Option A is correct!
How??First of all, it's base is square just like the net. The net in option D also has a square base.Now, Confusion is there that which one is correct?To understand that, look at the dimensions. The dimensions of Figure in Option A matches the net completely.. Hence, it is the correct option!!~State if the two triangles are congruent. If they are, state how you know.
Answers
Why?
Because we have two right triangles with the same shared leg (the L of HL) and the hypotenuses are the same length (the H of HL). The tickmarks tell us those segments are the same.
HL only applies to right triangles because the hypotenuse is only found in right triangles. If we didn't have those 90 degree square markers, then this would be an SSA case, but that's not a valid congruence theorem.
1+1+1+1+1+(18+18463)+496464+94643448=
Answers
THAT SHOULD BE DA ANSWER
Answer:
It guess it should be 95158398
What is the value of x in the triangle?
30°
х
8
60°
O A
4
OB. 873
O
OC. 8v3
OD. 6
Answers
Answer:
8v3
Step-by-step explanation:
phythagorean theorm
The measure of x from the triangle is x = 4
Define the Triangle.A planar figure or polygon having three sides and three angles is called a triangle.
The internal angles of a triangle, which has three vertices, add up to 180 degrees.
Assume the triangle is ABC, with A + B + C equaling 180 degrees.
Triangle area equals (1/2) × Length x Base.
About a right triangle
According to the Pythagoras Theorem, If a2 + b2 = c2, then the hypotenuse2 = base 2 + height 2, making it a right triangle.
If a2 + b2 c2, the triangle is an acute triangle.
If a2 + b2 > c2, the triangle is sharp.
Given the data,
Let's use ABC to depict the triangle.
Now, the triangle's sides are measured in units of AB and y.
x units = BC
Moreover, AC = 8 units.
The trigonometric relationships show that sin = opposite / hypotenuse.
Hence, the definition of sin 30° is x / 8
With simplification, we have (1/2) = x / 8
8 is multiplied twice, giving us x = 8/2 x = 4 units.
Hence , the sides of the triangle are solved
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This is question 4 of my first post can someone help me I’d really appreciate it
Answers
Answer:
wars the graph
Step-by-step explanation:
100 POINTS!!!
The y-intercept of a function can be found by:
A. Making x = 0
B. Making y + 0
C. Making x = 2
D. Making y = 2
EXPLAIN
Answers
Answer:
making x=0
Step-by-step explanation:
it gives you the points where the point intersects the y-axis
Answer:
A: Making x = 0
Step-by-step explanation:
The y-intercept of a function is where x is zero (i.e. [tex]f(0)[/tex])
Troy and Ronnie wrote down how much time they spent at play rehearsal each week for 6 weeks.
Troy spent 6, 4, 8, 5, 10, and 9 hours at play rehearsal.
Ronnie spent 4, 6, 3, 7, 7, and 3 hours at play rehearsal.
How does the range of hours Troy spent compare with the range of hours Ronnie spent at play rehearsal? Answer the questions to find out
Answers
Answer: Im trying to find out the same thing oh no!
Step-by-step explanation:
Answer:
Step-by-step explanation:
1. What is the range of hours Troy spent at play rehearsal? Explain how to find the range of a data set. (3 points)
To find the range, subtract the smallest value from the largestvalue. For Troy’s time, the range = 10 - 4 = 6 hours.
2. What is the range of hours Ronnie spent at play rehearsal? (3 points)
Ronnie’s range = 7 - 3 = 4 hours
3. Who had a greater range of hours spent at rehearsal? (4 points)Troy had a bigger range.
I hope this helps :)
Question: Researchers in Pakistan wanted to better understand the effects of anthracycline (a chemotherapeutic drug) on the hearts of young children. More information on the details of their study can be found here: https://datadryad.org/stash/dataset/doi:10.5061/dryad.cg849
((The data set can be downloaded. After going to the website, the download is to the right)).
One variable the researchers calculated in these children was the E/A ratio. The E/A ratio is a measurement that reflects the health of the heart. The (E) velocity is greater than the late (A) velocity in a healthy heart. Particularly low or particularly high elevated E/A ratios indicate signs of heart issues.
The mean E/A ratio of the 110 patients in the study was 1.35. The standard deviation was 0.33.
1. One patient had an E/A ratio of 0.73. What is the z-score for this patient?
2. Assuming the population of E/A ratio scores is approximately normally distributed, what's the probability that a randomly selected person has a smaller E/A ratio than the patient in question 1?
3. Another patient had an E/A ratio of 1.96. What's the z-score for this patient? What's the probability that a randomly selected patient has a higher E/A ratio?
4. Which patient has a more extraordinary E/A ratio? Why? Be sure to refer to the z-scores to support your answer.
Answers
Using the normal distribution, it is found that:
1. His z-score was of Z = -1.88.
2. There is a 0.0301 = 3.01% probability that a randomly selected person has a smaller E/A ratio than the patient in question 1.
3. Z-score of z = 1.85, there is a 0.0322 = 3.22% probability that a randomly selected patient has a higher E/A ratio.
4. Due to the higher absolute value of the z-score, the first patient had a more extraordinary result.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X.In this problem:
The mean is of [tex]\mu = 1.35[/tex].The standard deviation is of [tex]\sigma = 0.33[/tex].Item 1:
Considering his ratio, we have that X = 0.73, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0.73 - 1.35}{0.33}[/tex]
[tex]Z = -1.88[/tex]
His z-score was of Z = -1.88.
Item 2:
The probability is the p-value of Z = -1.88, hence, there is a 0.0301 = 3.01% probability that a randomly selected person has a smaller E/A ratio than the patient in question 1.
Item 3:
Score of X = 1.96, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1.96 - 1.35}{0.33}[/tex]
[tex]Z = 1.85[/tex]
The probability is 1 subtracted by the p-value of Z = 1.85, hence, 1 - 0.9678 = 0.0322 = 3.22% probability that a randomly selected patient has a higher E/A ratio.
Item 4:
Due to the higher absolute value of the z-score, the first patient had a more extraordinary result.
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What error did she make? She simplified the denominator incorrectly. The denominator simplifies to –7. She labeled the points incorrectly. The point (–7, 4) should be (x1, y1). She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values. She used an incorrect formula. The formula should be the sum of the x-values with respect to the sum of the y-values.
Answers
Answer:
The formula should be the change in y-values with respect to the change in the x-values. She used an incorrect formula
Step-by-step explanation:
The question is incomplete. Here is the complete question.
Anya found the slope of the line that passes through the points (–7, 4) and (2, –3). Her work is shown below. Let (x2, y2) be (–7, 4) and (x1, y1) be (2, –3). m = = = The slope is . What error did she make? She simplified the denominator incorrectly. The denominator simplifies to –7. She labeled the points incorrectly. The point (–7, 4) should be (x1, y1). She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values. She used an incorrect formula. The formula should be the sum of the x-values with respect to the sum of the y-values.
Slope of a line is expressed according to the formula;
Slope m = Δy/Δx
Slope = y2-y1/x2-x1
Given the coordinates (–7, 4) and (2, –3), from the coordinates;
x1 = -7, y1 = 4, x2 = 3, y2 = -3
Substitute into the formula;
Slope = -3-4/3-(-7)
Slope = -7/3+7
Slope = -7/10
Based on Anya workings, it can be concluded that Anya used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values
By what the question asks, I assume that this refers to getting the slope in a linear equation.
The correct option is:
She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values.
A general linear equation is given by:
y = a*x + b
where a is the slope and b is the y-intercept.
We know that for a line that passes through points (x₁, y₁) and (x₂, y₂) then the slope can be computed as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Notice that the formula is the change in y-values with respect to the x-values,
So we can conclude that the correct option is:
"She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values."
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Solve for x using cross multiplication.
2x+2/11 = x-4/6
x=
Please show your work for brainiest
Answers
Answer:
x=56/66
Step-by-step explanation:
What is the value of 8 in 0.058
Answers
If f(x) = 7 4x and g (x) = startfraction 1 over 2 x endfraction, what is the value of (startfraction f over g endfraction) (5)? eleven-halves startfraction 27 over 10 endfraction 160 270
Answers
The value of the function [tex]\frac{f}{g} (5)[/tex] is 270.
Given functions are:
[tex]f(x) = 7+4x\\\\g(x) = \frac{1}{2x}[/tex]
What is the [tex]\frac{f}{g} (x)[/tex] ?[tex]\frac{f}{g} (x)[/tex] is the ratio of functions f(x) and g(x) i.e. [tex]\frac{f(x)}{g(x)}[/tex].
So, [tex]\frac{f}{g} (x) =\frac{7+4x}{\frac{1}{2x} }[/tex]
[tex]\frac{f}{g} (x) =2x(7+4x)[/tex]
[tex]\frac{f}{g} (5) =2*5(7+4*5)[/tex]
[tex]\frac{f}{g} (5) =270[/tex]
Therefore, the value of the function [tex]\frac{f}{g} (5)[/tex] is 270.
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Answer:
270
Step-by-step explanation:
edge2022
This clock shows the current time. Three hours ago, it was ___________. HURRY NOWW
A) 12:48
B) 11:48
C) 10:48
D) 9:48
Answers
Answer:
d
Step-by-step explanation:
Answer:
maybe a or b but to me it's a
Maria works as a ride loader on "Space Mountain". She averages twenty passengers every twenty minutes. Sal also works as a ride loader on "Space Mountain" and averages twenty passengers every twenty-five minutes. If Maria and Sal work together, about how many minutes will it take to load twenty passengers?
Answers
Answer:
36 passengers
Step-by-step explanation:
Maria averages 20 passengers every 20 minutes, so she places 1 passenger per minute.
Sal averages 20 passengers every 25 minutes, so he places 0.8 passenger per minute.
If they work together, they can place (1 + 0.8) passengers = 1.8 passengers per minute.
In 20 minutes, they can load
1.8 passengers/minute * 20 minutes = 36 passengers
It took both Maria and Sal 11.1 minutes to load 20 passengers
The number of passenger Maria loads each minute = 20 passengers/20 minutes = 1 passenger per minute
The number of passenger Sal loads each minute = 20 passengers/25 minutes = 0.8 passenger per minute
Let t represent the total time taken to load the 20 passengers, hence:
(1 passenger per minute × t minutes) + (1 passenger per minute × t minutes) = 20 passengers
t + 0.8t = 20
1.8t = 20
t = 11.11 minutes
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if m<4=105 what is m<5
Answers
Answer:
105. Alternate Interior Angles are Congruent. <3
Step-by-step explanation:
Alternate Interior Angles are Congruent <3 .In geometric terms, two sides of a polygon that share an endpoint make up an angle.
What is meant by Interior angles?In geometric terms, two sides of a polygon that share an endpoint make up an angle. This angle is known as an internal angle for a simple polygon if a point within it is located inside the polygon, regardless of whether the polygon is convex or not. the inner of the two angles created where two polygonal sides meet, according to Wikipedia. any one of the four angles created when a third line cuts a pair of parallel lines.
inside angles The angles created within or inside of a shape are called interior angles. The interior angles in this case are ABC, BCA, and CAB.
Given ,
m<4=105
m<5=105
Therefore alternate interior angles is congruent to<3
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Ariel pays $10.80 when he buys 3 notebooks and 4 pencils.
Marie pays $14.50 when she buys 5 notebooks and 2 pencils.
Write down simultaneous equations and use them to find the cost of a notebook and the
cost of a pencil.
Show your workings.
Answers
Find the length of the missing side. If necessary, round to the nearest tenth.
29
841
58
21.5
Answers
Answer:
above is the solution to the question
The 4th and the last terms of an A.P. are 11 and 89 respectively. If there are 30 terms in the A.P., find the A.P. and its 23rd term.
Answers
[tex]\underline{\underline{\large\bf{Given:-}}}[/tex]
[tex]\red{\leadsto}\:[/tex][tex]\textsf{} [/tex][tex]\sf Number \: of \:terms \: in \: A.P,n = 30[/tex]
[tex]\red{\leadsto}\:[/tex][tex]\textsf{} [/tex][tex]\sf Fourth \: term ,a_4 = 11 [/tex]
[tex]\red{\leadsto}\:[/tex][tex]\textsf{} [/tex][tex]\sf last\:term, a_{30} = 89 [/tex]
[tex]\underline{\underline{\large\bf{To Find:-}}}[/tex]
[tex]\orange{\leadsto}\:[/tex][tex]\textsf{ } [/tex][tex]\sf The \: A.P. [/tex]
[tex]\orange{\leadsto}\:[/tex][tex]\textsf{ } [/tex][tex]\sf 23rd\: term, a_{23} [/tex]
[tex]\\[/tex]
[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]
The nth term of A.P is determined by the formula-
[tex]\green{ \underline { \boxed{ \sf{a_n = a+(n-1)d}}}}[/tex]
where
[tex]\sf a = first \:term[/tex][tex]\sf a_n = nth \: term[/tex][tex]\sf n = number \:of \:terms [/tex][tex]\sf d = common \: difference [/tex]Since ,
[tex]\sf a_4 = 11 [/tex]
[tex]\longrightarrow[/tex] [tex]\sf a+(4-1) d= 11 [/tex]
[tex]\longrightarrow[/tex] [tex]\sf a+3d= 11\_\_\_(1) [/tex]
[tex]\sf a_{30}= 89 [/tex]
[tex]\longrightarrow[/tex] [tex]\sf a+(30-1)d=89[/tex]
[tex]\longrightarrow[/tex][tex]\sf a+29d= 89\_\_\_(2)[/tex]
Subtracting equation (1) from equation(2)
[tex]\begin{gathered}\\\implies\quad \sf a+29d-(a+3d) = 89-11 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf a+29d-a-3d = 78 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf a-a+29d-3d = 78 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 26d = 78 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf d = \frac{78}{26} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf d = 3 \\\end{gathered} [/tex]
Putting the value of d in equation (1) -
[tex]\begin{gathered}\\\implies\quad \sf a+3(3) = 11 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf a = 11-9 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf a = 2 \\\end{gathered} [/tex]
First term of A.P, a = 2Second term of A.P.,[tex]\sf a_2= 2+(2-1)\times 3[/tex][tex]\quad\quad\quad\sf =2+3[/tex]
[tex]\quad\quad\quad\sf =5 [/tex]
Third term of A.P.,[tex]\sf a_3= 2+(3-1)\times 3[/tex][tex]\quad\quad\quad\sf =2+6[/tex]
[tex]\quad\quad\quad\sf =8 [/tex]
[tex]\longrightarrow[/tex]Thus , The A.P is 2,5,8,. . . . . .
Now,
[tex]\begin{gathered}\\\implies\quad \sf a_n = a+(n-1)d \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf a_{23 }= 2+(23-1)\times 3 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf a_{23} = 2+22 \times 3 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf a_{23} = 2+66 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf a_{23} = 68 \\\end{gathered} [/tex]
[tex]\longrightarrow[/tex]Thus , 23rd term is 68.
In one month 382 adults and 65 children stayed in a hotel. How many people stayed at the hotel altogether?
Answers
Answer:
447 people
Step-by-step explanation:
382 plus 65 is 447.
a manufacturer has determined that if his company sells x items per day then their profit is given by P=-x^2+ 700 x-10000 euros. . How many items must be sold each day in order to make a profit
Answers
Answer:
15
Step-by-step explanation:
To find the minimum amount of items, x, that need to be sold for the manufacturer to make a profit, we can use the quadratic formula
[tex]x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}; x= \frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]
[tex]x= \frac{-700+\sqrt{700^{2}-4(a)(-10000) } }{2(1)}; x= \frac{-700-\sqrt{700^{2}-4(a)(-10000) } }{2(1)}[/tex]
[tex]x= \frac{-700+\sqrt{530000} }{2}; x= \frac{-700-\sqrt{530000} }{2}[/tex]
[tex]x=\frac{-700+100\sqrt{53} }{2}; x=\frac{-700-100\sqrt{53} }{2};[/tex]
[tex]x=-350 + 50\sqrt53 = 14.005; x = -350 - 50\sqrt53 = -714.005[/tex]
In context of the problem, we can only rely on the positive value, as the negative value would lead to a loss of profit.
[tex](-714.005)^2+700(-714.005)-10000=-0.360[/tex]
Furthermore, we must round to the nearest whole number, as you cannot make part of an item.
Lastly, if you were to plug in 14 into the equation for Profit, you would still have a negative number (i.e. a negative profit), thus requiring the manufacturer to make no less than 15 items to make a profit:
[tex](14)^2+700(14)-10000=-4\\\\(15)^2+700(15)-10000=725[/tex]
what is 5+5
what is 6x5
Answers
Answer:
5+5 = 10
6x5=30
I hope it works for you
Answer:
10 , 30
Step-by-step explanation:
5 + 5 = 10
6 * 5 = 30
EXPAND AND PLEASE EXPLAIN
FOR BRAINLIEST
(x-1)(x+1)
Answers
Answer:
x^2 -1
Step-by-step explanation:
-1×x + -1×1 + x×1 + x×x
= x^2 -x +x -1
= x^2 -1
[tex] {x}^{2} - 1[/tex]
The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron has
only $42 to spend. Which inequality represents this scenario if X represents the
number of games Cameron can play?
Answers
Answer:
4.5 Games
Step-by-step explanation:
42 Minus 6 (shoes)= 36
36 divided by 8 (each game) would equals 4.5
The balanced equation below shows the products that are formed when pentane (c5h12) is combusted. c5h12 8o2 right arrow. 5co2 6h2o what is the mole ratio of oxygen to pentane? 1:6 6:8 8:1 5:8
Answers
The mole ratio of the oxygen to pentane will be 8:1
What is the mole ratio?
A mole ratio is a ratio between the amounts in moles of any two compounds involved in a chemical reaction
A chemical equation is said to be a balanced chemical equation if it has an equal number of all the constituent atoms on both sides of the reaction arrow.
The balanced chemical reaction for the combustion of pentane is as follows:
[tex]\rm C_5H_{12}+8O_2--- > 5CO_2+6H_2O[/tex]
From the above-balanced chemical equation, it is clear that 1 mol of [tex]C_5H_{12}[/tex] reacts with 8 moles [tex]O_2[/tex] to form 5 moles of [tex]CO_2[/tex]
Thus the mole ratio of the oxygen to pentane will be 8:1
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Answer:
8:1
Step-by-step explanation:
edge
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
Answers
A dinner plate is in the shape of an isosceles right triangle, the leg is 13 inches. What is the perimeter of the plate, round your answer to the nearest tenth?
Answers
Answer: 18.4 inches
Step-by-step explanation:
Please help! Parallel lines Pythagorean theorem
Answers
Answer:
m∠A = 150°
m∠B = 30°
m∠E = 110°
Step-by-step explanation:
Linear pair:
⇒ m∠A + 30° = 180°
⇒ m∠A = 150°
Alternate interior angles:
⇒ m∠B = 30°
Sum of interior angles of a triangle is 180°:
⇒ m∠C + 30° + 40° = 180°
⇒ m∠C = 110°
Linear pair:
⇒ m∠C + m∠D = 180°
⇒ 110° + m∠D = 180°
⇒ m∠D = 70°
Alternate interior angles:
⇒ m∠E = m∠C
⇒ m∠E = 110°
can someone please help me
Answers
I would do this problem by changing each mixed number into an improper fraction
-8 3/4 = -35/4
-11 1/3 = -34/3
Then I would find the common denominator
-35/4(3/3) = -105/12
-34/3(4/4) = -136/12