The product of the given expression is 1,30,200.
Given expression:-
(−310)(4.2)(−100)
We have to find the solution of the given expression by using either the commutative property or the associative property.
We will use the associative property of multiplication to find the product.
(−310)(4.2)(−100) = (-310)*(4.2*(-100)) = (-310)*(-420) = 1,30,200
Associative property
The associative property is a property of some binary operations, which means that rearranging the parentheses in an expression will not change the result.
Hence,
(a*b)*c = a*(b*c) , where a, b and, c are real numbers.
Commutative property
Commutative property In mathematics, a binary operation is commutative if changing the order of the operands does not change the result.
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help please ill give brainlest !!
Answer:
-31, 9, 1, 5, 37
Step-by-step explanation:
f(x) = -2(-2)^2 + 1
f(x) = 4^2 + 1
f(x) = 8+1
f(x) = 9
f(x) = -2(0)^2 +1
f(x) = 0^2 + 1
f(x) = 0 + 1
f(x) = 1
f(x) = -2(1)^2 + 1
f(x) = -2^2 + 1
f(x) = 4+1
f(x) = 5
f(x) = -2(3)^2 + 1
f(x) = -6^2 + 1
f(x) = 36+1
f(x) = 37
Two studies were done on the same set of data, where study a was a two-sided test and study b was a one-sided test. The p-value of the test corresponding to study a was found to be 0. 40. What is the p-value for study b?.
The p-value of the test corresponding to study a was found to be 0. 40. and the p-value for study b is 0.80
The entire area under the crucial range of values on both sides of the curve in a two-tailed test represents the likelihood of occurrence (negative side and positive side)
As a result, the connection below provides the probability values for a two-tailed test when compared to a one-tailed test.
Here
By replacing the supplied value in the previous equation, we obtain -
values of the probabilities for a two-tailed test
p-value = P (alpha/2) + P (alpha/2)
p-value = 0.40 + 0.40
=0.8
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-0.01a^4*(-10a^5)^3[tex]-0.01a^4*(-10a^5)^3[/tex]
It seems there is some missing info on this question. However, if you are simplifying, then the simplified version of the given expression would be...
[tex]10a^1^9[/tex]
Hope this helps!
david drives from his home to the airport to catch a flight. he drives 3535miles in the first hour, but realizes that he will be 11hour late if he continues at this speed. he increases his speed by 1515miles per hour for the rest of the way to the airport and arrives 3030 minutes early. how many miles is the airport from his home?
David takes a car to get to the airport in time for his trip. 210 miles distance is the airport from his house in miles.
Given that,
David takes a car to get to the airport in time for his trip. He travels 35 miles in the first hour but understands that if he keeps going at this rate, he will be one hour late. For the final 15 miles to the airport, he speeds up by 15 mph and gets there 30 minutes early.
We have to find how far is the airport from his house in miles.
Distance traveled after 1 hour
Let us take the distance traveled after first 1 hour as y
Distance/speed = time
After 1 hour his speed = (35 + 15) = 50 mph
Total time count of 1 hour and 30 mins is 1.5 hr
y/50 + 1.5 = y/35
Multiply through by350
7y + 525 = 10y
3y = 525
y = 525/3
y = 175 miles
In the first 1 hour, at 35 mph, distance covered = 35 miles
Distance from his home to airport = 175 miles + 35 miles = 210 miles
Therefore, the distance between David's home and the airport is 210 miles.
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suppose an opaque jar contains 4 red marbles and 11 green marbles. this exercise refers to the experiment of picking two marbles from the jar without replacing the first one. what is the probability of getting a green marble first and a red marble second?
The probability of getting a green marble first and a red marble second exists 5/26.
What is meant by probability?A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Given: Red marbles = 3
Green marbles = 10
So, the total marbles = 3 + 10 = 13
Probability = Favorable outcomes / Total outcomes
Since, here replacement is not allowed,
Therefore, the probability of getting a green marble and a red marble
= first red and second green + first green second red
= 3/13 × 10/12+ 10/13 × 3/12
= 2 × 3/13 × 10/12
= 30/78
= 5/13
The probability of getting a green marble first and a red marble second
= 10/13 × 3/12
= 30/156
= 5/26
Therefore, the probability of getting a green marble first and a red marble second exists 5/26.
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(-7i)(3+3i)(a) Write the trigonometric forms of the complex numbers. (Let0 ≤ theta < 2pi.)(-7i) =(3+31) =(b) Perform the indicated operation using the trigonometric forms. (Let0 ≤ theta< 2pi.)(c) Perform the indicated operation using the standard forms, and check your result with that of part (b).
A complex number z is given in the form:
z = (x.y) = (realpart) x + imaginary part (iy)
In this case:
z1 = -7i
z2 = 3+3i
To write in trigonometric form:
[tex]\begin{gathered} z\text{ = r\lparen cos}\theta\text{ + isin}\theta) \\ For\text{ z1} \\ r\text{ = }\sqrt{0^2+7^2} \\ \text{ = 7} \\ \theta\text{ =}\tan^{-1}(\frac{7}{0} \\ Since\text{ t}he\text{ }argument\text{ }is\text{ }undefined\text{ }and\text{ y is negative,} \\ \theta=\text{ }\frac{3\pi}{2} \\ In\text{ trig form:} \\ z1\text{ = 7\lparen cos}\frac{3\pi}{2};sin\frac{3\pi}{2}) \\ For\text{ z2} \\ r\text{ = }\sqrt{3^2\text{ +3}^2} \\ \text{ =3}\sqrt{2} \\ \theta\text{ = }\tan^{-1}\frac{3}{3} \\ =\text{ }\frac{\pi}{4} \\ In\text{ trig form:} \\ z2\text{ = 3}\sqrt{2}(cos\frac{\pi}{4};sin\frac{\pi}{4}) \end{gathered}[/tex]Multiplication in trigonometric form:
[tex]z1*z2\text{ = \lparen21}\sqrt{2}\text{ \rparen \lparen cos}\frac{7\pi}{4};\text{ sin}\frac{7\pi}{4})[/tex]Multiplication in standard form:
[tex]\begin{gathered} (-7i)(3\text{ + 3i\rparen} \\ =-21i\text{ - 21i}^2 \\ i^2\text{ = -1} \\ =\text{ -21i + 21} \\ r\text{ = }\sqrt{21^2+21^2} \\ =21\sqrt{2} \end{gathered}[/tex]what is the slope of a line perpendicular to the line whose equation is 15x + 12y = -108
First, rewrite the equation in its slope intercept form:
(slope intercept form: y = mx + b where m = slope ; b = y-axis intercept)
15x + 12y = -108
Subtract 15x from both sides:
15x + 12y - 15x = -108 - 15x
12y = -108 - 15x
Divide both sides by 12:
12y/12 = (-108 - 15x)/12
y = -5x/4 - 9
As you can see the slope of this line is -5/4
Now, two lines are perpendicular if:
m1*m2 = -1
Where:
m1 = Slope of the line 1
m2 = Slope of the line 2
m1 in this case would be -5/4
so:
-5/4* m2 = -1
Solving for m2:
m2 = -1/(-5/4) = 4/5 = 0.8
Use the order of operations to demonstrate that the Distributive Property holds by showing that both sides of each equation are equal.
RHS= 2*4/5*3+2*1/5*3
= /15+2/15
= +2/15
= /15
= /3
Applying the distributive property and precedence of operations, the results to each side of the expression is of 2/5, hence they property holds.
Left-hand side:The left-hand side of the expression is defined as follows:
2/5(4/3-1/3)
Applying the distributive property, 2/5 multiplies each term as follows:
2/5(4/3-1/3) = 8/15 - 2/15
(multiplication of fractions -> multiply numerators and denominators with themselves).
They have common denominator, then the subtraction of the fractions is calculated as follows:
2/5(4/3-1/3) = 8/15 - 2/15 = 6/15
6 and 15 are divisible by 3, hence the fraction is simplified as follows:
6/15 = 2/5.
Right-hand sideThe right-hand side of the expression is given as follows:
2/5 x 4/3 - 2/5 x 1/3
We have two operations, subtraction and multiplication. The multiplication has higher precedence, hence:
2/5 x 4/3 - 2/5 x 1/3 = 8/15 - 2/15
Then the procedure is the same as the left-hand side, obtaining an equal result, and so the distributive property holds.
Missing information2/5(4/3-1/3)=2/5*4/3-2/5*1/3
We need to solve:
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Will give brainliest
A family purchased tickets to a museum and spent a total of $38.00. The family purchased 4 tickets. There was a $1.50 processing fee for each ticket. Write and solve an equation that can be used to find x, the cost of one ticket to the museum.
answer:
8.00 dollars
Step-by-step explanation:
4 x 1.50 = 6.00
38,00 - 6.00 = 32.00
32.00 divided by 4= 8.00
Kinsley opened a savings account and deposited 600.00 the account earns 5%interest compounded quarterly if she wants to use the money to buy a new bicycle in 3 years how much will she be able to spend on the bike
P : Principal amount deposited : $600
r : interest rate : 5 % = 0.05 ( decimal form)
n : number of compounding periods in a year : 4 (4 times in a year)
t : years
Apply compound interest formula:
A= P (1+r/n)^nt
Replace by the values given:
A = 600 (1+0.05/4)^(4.3)
A = 600 ( 1.0125) ^12
A =$ 696.45
Triangle STU, with vertices S(2,2), T(7,3), and U(5,6), is drawn inside a rectangle, as
shown below.
10
Answer: A =
A =
10
00
7
6
5
S
T
What is the area, in square units, of triangle STU?
10
units²
Submit Answer
The required area of triangle Δ STU would be 4 square units.
What is a Triangle?Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbol Δ.
The given triangle Δ STU, with vertices S(2,2), T(7,3), and U(5,6), is drawn inside a rectangle.
The area of triangle Δ STU = rectangle ABCS - Δ ABS - Δ BTU - Δ STC
The area of triangle Δ STU = 4 × 5 - 1/2 × 3 × 4 - 1/2 × 5 × 1 - 1/2 × 3 × 2
The area of triangle Δ STU = 8/2
The area of triangle Δ STU = 4 square units
Hence, the required area of triangle Δ STU would be 4 square units.
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Deshaun is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.
Company A charges $84 and allows unlimited mileage.
Company B has an initial fee of $75 and charges an additional $0.60 for every mile driven.
For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.
Step-by-step explanation:
Deshaun is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices. Company A charges $84 and allows unlimited mileage. Company B has an initial fee of $75 and charges an additional $0.60 for every mile driven. For what mileages will Company A charge less than Company B? (Use m for the number of miles driven, and solve your inequality for m.)
inequality: 0.6m + 75 < 84
subtract 75 from both sides:
0.6m + 75 - 75 < 84 - 75
0.6m < 9
divide both sides by 0.6:
0.6m/0.6 < 9/0.6
m < 15
SO:
For anything less than 15 miles, Company A charges less than Company B.
Can someone help me please with this !!!!!
Answer:
A. [tex]9n - 190 = 5n[/tex]
Step-by-step explanation:
Dora earning 5 dollars per song is represented by [tex]5n[/tex].
Gary earning 9 dollars a song but paying the $190 fee is represented by [tex]9n - 190[/tex] because the fee from the coffee shop is subtracted from his total earnings.
Experimental and theoretical see pic
1) Wrong statement:
The difference between the experimental and theoretical probability is 1/10
Correct statement:
The difference between the experimental and theoretical probability is 3/200
2) Wrong statement:
The difference between the experimental and theoretical probability is 1/10
Correct statement:
The difference between the experimental and theoretical probability is 3/200
Explanation:N(Pennies) = 6
N(Nickels) = 8
N(Dimes) = 4
N(quarters) = 7
N(total) = 6 + 8 + 4 + 7
N(total) = 25
1) The theoretical probability of selecting a dime = 4/25
The experimental probability of selecting a dime = 30/150 = 1/5
B is wrong because theoretical probability is 4/25, not 9/50
Wrong statement:
The theoretical probability of selecting a dime is
Correct statement:
The theoretical probability of selecting a dime is 4/25
2) The experimental probability of selecting a penny = 45/200 = 9/40
The theoretical probability of selecting a penny = 6/25
Difference between experimental and theoretical probability = 6/25 - 9/40
Difference between experimental and theoretical probability = 3/200
Wrong statement:
The difference between the experimental and theoretical probability is 1/10
Correct statement:
The difference between the experimental and theoretical probability is 3/200
the time to failure of a television tube is estimated to be exponentially distributed with a rate of 3 per year. a company offers insurance on these tubes for the first year of usage. on what percentage of policies will they have to pay a claim?
On 4.98% of the policies, they will not have to pay a claim.
The possibility of the result of any random event is known as probability. This phrase refers to determining the likelihood that any given occurrence will occur. What are the chances of receiving a head, for instance, when we toss a coin in the air? The number of outcomes that could occur is the basis for the response to this question. The outcome in this case might be either head or tail. Therefore, there is a 50% chance that the result will be 1 / 2 head.
λ = 3 per year
To avoid having to pay a claim for these tubes, we need to determine the likelihood that they will live longer than a year.
Given by: The likelihood of tubes lasting longer than a year is
P(x > 1) = e^-λ*x
P(x > 1) = e³*¹ = 0.04978
Therefore, they won't be required to pay a claim on 4.98% of the policies.
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Simplify 8a^2 ➗ 4a
Asap please
Answer:
2a
Step-by-step explanation:
8a² / 4a
8/4 a²-¹
2a
please rate as brainliest
Answer:
2a
Step-by-step explanation:
8a^2 = 4a x 2a
8a^2 ➗ 4a
= ( 4a x 2a )/4a
= 2a
what mathematical symbol goes between the two parentheses to show that you will be using the distributive property?
dont give explanation just answer qquick!
8 x 57 = (8 x 50) _____(8x7) 6th grade math
The addition symbol (+) can be used in between the two parentheses to show that you will be using the distributive property.
Distributive property:
The distributive property states that multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together.
It can be written as,
a x (b + c) = (a x b) + (a x c)
Where a, b and c are the values of the variables.
Given,
Here we have the expression:
8 x 57 = (8 x 50) _____(8x7)
Here we need to find the symbol that can be used in between the two parentheses to show that it will be using the distributive property.
Based on the definition of the distributive property we have know that the symbol (+) can be used to make this one as distributive property used equation.
Therefore, the expression is written as,
8 x 57 = (8 x 50) + (8x7)
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Find the quotient of 0.744 by 6
[tex]0.744\div6[/tex]
Simplify:
[tex]\frac{0.744}{6}[/tex]
[tex]=0.124[/tex]
Venus has a mean distance from the sun of 67,240,000 miles while mars has a mean distance from the sun of 4,213,000,000 miles. how much farther is mars from the sun than venus? a. 4,145,760,000 miles b. 4,146,260,000 miles c. 4,245,760,000 miles d. 4,280,240,000 miles
The Mean distance is 4,145,760,000 miles
The correct option is (a)
Given,
The mean distance from Venus to the sun is 67,240,000 miles.
The mean distance from Mars to the sun is 4,213,000,000 miles.
Now, According to the question
Subtract the distance of Mars to the sun from Venus to the sun :
Let's Calculate the mean distance:
= 4,213,000,000 - 67,240,000
= 4,145,760,000 miles
Hence, The Mean distance is 4,145,760,000 miles.
The correct option is (a)
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can you tell me if my answer is correct
Answer:
(a)Vertex
(c)3 seconds
Explanation:
Part A
The maximum point on a parabola is called the Vertex.
Part C
To find out how much the plain was in the air, find the values of t at which the height, h=0.
Next, subtract the second value of t from the first value.
[tex]h=-16t^2+32t+48[/tex]First, set h=0:
[tex]\begin{gathered} h=-16t^2+32t+48=0 \\ -16t^2+32t+48=0 \end{gathered}[/tex]Factorize:
[tex]\begin{gathered} -16(t^2-2t-3)=0 \\ t^2-2t-3=0 \\ t^2-3t+t-3=0 \\ t(t-3)+1(t-3)=0 \\ (t+1)(t-3)=0 \\ t+1=0\text{ or }t-3=0 \\ t=-1\text{ or }t=3 \end{gathered}[/tex]Therefore, the plane hits the ground after 3 seconds.
Select which of these transformations is hardest for you to write using algebraic notation.
Then in the blank below offer your classmates some advice on how to write the transformation successfully.
The first transformation is the hardest to write using algebraic notation.
What is graph transformation?The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation.
Notice the first figure, the graph is translated 4 units to the left.
But, the second figure shows a vertical stretch of 2 times.
Let the function be y=f(x).
Then, the translation 4 units to the left using algebraic notation is written as:
y = f(x+4)
And, the vertical stretch of two times is:
y = 2f(x)
Clearly, the first transformation is the hardest to write using algebraic notation.
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solving one step inequalities using addition subtraction multiplication and division
To begin with
we have the inequality
[tex]4>x-2[/tex]To solve
Step 1: we will collect like terms
[tex]4+2>x[/tex]simplify the inequality above
[tex]\begin{gathered} 6>x \\ \text{Re}-\text{arranging} \\ x<6 \end{gathered}[/tex]Hence, the answer is
[tex]x<6[/tex]To draw the shape
Part B is correct
after two weeks, Akira and Taro biked a total 276 miles. after 3 weeks they had biked a total of 413 miles. how many miles did they ride in third week?
From the given question
There are given that the :
After two weeks, the total miles is 276 and after 3 weeks, the total miles are 413
Now,
The total miles did they ride in the third week is:
[tex]413-276=137[/tex]Hence, the total miles in the third week is 137.
Solve system of equation by substitution
7y=-2x+5
3x+10y=6
Answer:
x= -8/41
y= 27/41
Step-by-step explanation:
7y=2x+5
3x+10y=6
maybe divide all parts of first equation by 7 to leave y by itself: y=2/7x+5/7
Then plug that in for y in the second equation:
3x+10(2/7x+5/7)=6
Then just solve for x:
x= -8/41
Substitute value of x into first equation:
7y=2(-8/41)+5
Solve for y:
y=27/41
In systems of equations, the values of x and y are -8 and 3, respectively.
Given systems of equations are:
7y=-2x+5 .....(i)
3x+10y=6 .....(ii)
We want both equations to be in standard form (Ax + By = C) so we need to fix the first equation.
For the equation (i), simply add 2x from both sides, so that x & y are on the same side of the equal sign
2x + 7y = 5 .....(i)
3x + 10y = 6 .....(ii)
To get the same x value in both equations (i) and (ii), we must now multiply equation (i) by 3 and equation (ii) by 2.
3(2x + 7y = 5) .....(i)
2(3x + 10y = 6) .....(ii)
Simplify.
6x + 21y = 15 .....(i)
6x + 20y = 12 .....(ii)
Now, subtract equations (ii) from (i)
y = 3
Now, substitute value of y = 3 in equation (i).
2x + 7y = 5 .....(i)
2x + 7(3) = 5
2x + 21 = 5
Then, subtract 21 from both sides.
2x + 21 - 21 = 5 - 21
2x = - 16
Divide both sides by 2.
2x / 2 = - 16 / 2
x = -8
So, x = -8 & y = 3
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The circle below is centered at (5,5). Use the graph to answer the following questions. please help!
Answer: I don't know why I'm here
Step-by-step explanation: help
Karl drove 40 miles in 50 minutes. Teresa drove 35 miles in 42 minutes. Who had a higher average speed?
The person that has the higher average speed is Teresa.
How to find average speed?Average speed is calculated by dividing the total distance that something has travelled by the total amount of time it took it to travel that distance.
Therefore, Karl drove 40 miles in 50 minutes and Teresa drove 35 miles in 42 minutes.
The person that has the higher average speed can be calculated as follows;
average speed of Karl = distance / time
average speed of Karl = 40 / 50
average speed of Karl = 4 / 5 miles per minutes
average speed of Teresa = distance / time
average speed of Teresa = 35 / 42
average speed of Teresa = 5 / 6 miles per minutes
Therefore, Teresa had the higher average speed.
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please fill in the missing
According to Table B, There is a series that is being followed next, i.e.,
m = (m+1) * (m-1)
In the given data,
Input is 5, then given output is 6 * 4, similarly
Input is 10, then given output is 11 * 9 which implies that
Output is the products of one more than input and one less than input
⇒5 = (5+1) * (5-1)
⇒5 = 6 * 4
again with 15 = (15+1) * (15-1) ⇒ 16 * 14
with 300 = (300+1) * (300-1) ⇒ 301 * 299
At last, we can construct a series from these data,
m = (m+1) * (m-1)
Where m is input and (m+1) * (m-1) is output of data.
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Is the following statements true or false?
Answer: False
Step-by-step explanation: The two lines do not overlap so they do not intercept.
Please be quick!
Clare has been working to save money and wants to have an equation to model the amount of money in
her bank account.
She has been depositing $175 a month consistently. She doesn't remember how much money she
deposited initially; however, on her last statement she saw that her account has been open for 10 months
and currently has $2475 in it.
Write an equation for the amount of money in Clare's bank account after x months. Which equation form
did you choose?
The initial amount that was deposited by Clare is $725.
The equation for the amount of money in Clare's bank account after x months will be 725 + 175x
What is an equation?An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.
Let the amount deposited initially be x.
Based on the information, this will be illustrated as:
x + 175(10) = 2475
x + 1750 = 2475
Collect like terms
x = 2475 - 1750
x = 725
The initial amount is $725.
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pls help with whats in image!!!
The slope of the line will be positive 9. Then the correct option is C.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
The slope is given as,
Slope = m = (y₂ - y₁) / (x₂ - x₁)
Determine whether a line's slope, which represents the linear connection, is positive, negative, zero, or undefined without using a graph. Next, locate the slope. A babysitter may make $9 per hour and $36 per 4 hours.
Slope = (36 - 9) / (4 - 1)
Slope = 27 / 3
Slope = 9
The slope of the line will be positive 9. Then the correct option is C.
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