Answers
Answer:
Exponent Product Rule
Step-by-step explanation:
Exponent multiplication: (a^b)(a^c)= a^(b+c)
t^3=(t^2)t
Because t=t^1, we have
t^2+t^1=t^3
This can be shown by the Exponent Product Rule
Answer: t²⁺¹
Step-by-step explanation:
The law of exponents states that when multiplying terms with the same base, you ADD the exponents. Note that "t" has an exponent of 1.
t³ = (t²)t¹ = t²⁺¹
I hope this is what you were looking for.
Related Questions
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.
Tutorial Exercise Find the indefinite integral.
a) dx3x 2 + 2
b) x3 + 2x
c) dx6x 5 + 5
d) x6 + 5x
Answers
Answer:
a.) dx3x² + 2
Use the properties of integrals
That's
integral 3x² + integral 2
= 3x^2+1/3 + 2x + c
= 3x³/3 + 2x + c
= x³ + 2x + C
where C is the constant of integration
b.) x³ + 2x
Use the properties of integrals
That's
integral x³ + integral 2x
= x^3+1/4 + 2x^1+1/2
= x⁴/4 + 2x²/2 + c
= x⁴/4 + x² + C
c.) dx6x 5 + 5
Use the properties of integrals
That's
integral 6x^5 + integral 5
= 6x^5+1/6 + 5x
= 6x^6/6 + 5x
= x^6 + 5x + C
d.) x^6 + 5x
integral x^6 + integral 5x
= x^6+1/7 + 5x^1+1/2
= x^7/7 + 5/2x² + C
Hope this helps
if P degree,2P degree and 3p degree are the angles of a triangle find them
Answers
Answer:
p+2p+3p=180degree(sum of angle of triangle)
6p=180degree
p=180degree/6
p=30degree
here your answer and please support me
Answer:
30, 60, 90
Step-by-step explanation:
p+2p+3p= 180
6p= 180
p=30, 2p= 60, 3p= 90
KEVIN HAS TWO PART-TIME JOBS. HE DELIVERS PIZZA FOR PEDRO'S PIZZERIA
AND MAKES $8 AN HOUR, PLUS $20 FOR DRIVING EXPENSES EACH WEEK. HE
ALSO DOES ODD JOBS FOR A LOCAL HARDWARE STORE, WHERE HE IS PAID $10
AN HOUR.
A. WRITE A SYSTEM OF EQUATIONS TO DESCRIBE THE SCENARIO WHERE H
REPRESENTS THE NUMBER OF HOURS KEVIN WORKS, AND A
REPRESENTS THE AMOUNT HE EARNS AT EACH JOB IN A WEEK. B. HOW MANY HOURS MUST KEVIN WORK AT EACH JOB SO THAT HIS EARNINGS FROM BOTH SIDES ARE THE SAME? C. WHAT WOULD HIS INCOME FROM EACH JOB BE IN THAT CASE?
Answers
Answer:
A. A = 8h + 10
A = 10h
B. 5 hours
C. $50
Step-by-step explanation:
A. https://brainly.com/question/17036764
Pizza Place: A = 8h + 10
Hardware Store: A = 10h
Since you had made a separate question for part A, I answered that.
B. Kevin's earnings is represented by A. Because we want the earnings for each job to be equal, set the two equations equal to each other. Solve for h.
8h + 10 = 10h
10 = 2h
5 = h
Kevin has to work 5 hours.
C. Plug 5 into each equation.
A = 8h + 10
A = 8(5) + 10
A = 40 + 10
A = 50
A = 10h
A = 10(5)
A = 50
Kevin will make 50 from each job.
Which statement is true? Question 6 options: A) |13| = – 13 B) – |13| = 13 C) – |–13| = 13 D) |–13| = 13
Answers
Answer:
D because absolute value always makes the sign positive but if there is a negative before the absolute value, that would still stay there.
Step-by-step explanation:
An equation |-13|=13 is correct. Therefore, option D is the correct answer.
What is an absolute value?The absolute value of a number is defined as its magnitude irrespective of the sign of the number. To find the absolute value of a real number, we consider only the number and remove the sign. It can only be a non-negative value.
Here,
A) |13|=-13
Absolute value of positive integer is positive. So, option A is incorrect.
B) -|13|=13
Absolute value of positive integer is positive.
Then, -13≠13
So, option B is incorrect.
C) -|-13|=13
Absolute value of negative integer is positive.
Then, -13≠13
So, option C is incorrect.
D) |-13|=13
Absolute value of negative integer is positive.
So, option D is incorrect.
An equation |-13|=13 is correct. Therefore, option D is the correct answer.
To learn more about an absolute value visit:
https://brainly.com/question/1301718.
#SPJ2
Find the missing value.
Hint: Use the number line to find the missing value.
–9+ = -3
I need help
Answers
start at -9 and jump from each number
until you get to -3
now count the amount of spaces you jumped until you got to -3
you jumped 6 spaces to -3
if you jumped to the right the answer is a positive
if you jumped to the left the answer is negative
Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction. F = 3yi + yj+zk
C: counterclockwise path around the boundary of the ellipse x2/4+y2/64=1
Answers
Answer:
[tex]\int \int \bigtriangledown F\ X\ dS = \int F\cdot dr[/tex] = 12π
Step-by-step explanation:
The field F is given by:
[tex]F = 3y\hat{i} + y\hat{j}+z\hat{k}[/tex] (1)
The curve C is the ellipse:
[tex]\frac{x^2}{4}+\frac{y^2}{64}=1\\\\(\frac{x}{2})^2+(\frac{y}{8})^2=1[/tex]
In order to calculate the circulation of F around the curve C, you first find the parametric equation for the given ellipse.
The general form of an ellipse equation is:
[tex](\frac{x}{a})^2+(\frac{y}{b})^2=1[/tex]
The parametric equation is:
[tex]r(t)=acost \hat{i} + bsint\hat{j}=2cost\hat{i}+8sint\hat{j}[/tex] (2)
The Stokes's theorem is given by the following identity:
[tex]\int \int \bigtriangledown F\ X\ dS = \int F\cdot dr[/tex]
The path integral is also:
[tex]\int F\cdot dr=\int F(r(t))\cdot dr(t)[/tex] (3)
For F(r(t)) and dr(t) you obtain:
[tex]F(r(t))=3(8sint)\hat{j}+(8sint)\hat{j}+(z)\hat{k}\\\\dr(t)=(-2sint\hat{i}+8cost\hat{j}+0\hat{k})dt\\\\F(r(t))\cdot dr(t)=(-48sin^2t+64cos^2t)dt[/tex]
Next, in the equation (3) you obtain:
[tex]\int_0^{2\pi} (-48sin^2t+64cos^2t)dt=\int_0^{2\pi}(-\frac{48}{2}(1-cos2t)+\frac{64}{2}(1+cos2t))dt\\\\=\int_0^{2\pi}(-24+24cos2t+32+32cos2t)dt\\\\=\int_0^{2\pi}(6+56cos2t)dt\\\\=[6t+56sin2t]_0^{2\pi}=[6(2\pi)-0]=12\pi[/tex]
The circulation of the field around C is 12π
pls pls help me help me
Answers
It is D.
you must multiply the second equation by 3, so that the +3y in the first equation can cancel out the (now) -3y in the second equation.
Evaluate 9 x 8 = (10 x 8) - ( blank x 8) =80 - blank = blank
Answers
Answer:
see below
Step-by-step explanation:
9 x 8 = (10 x 8) - ( blank x 8) =80 - blank = blank
We are replacing 9 with 10 minus something
9 = 10 -1
9 x 8 = (10 x 8) - ( 1 x 8)
80 - 8
72
Se x .y = 2 e x + y = 9, então x² + y² é :
a) 76
b) 167
c) 77
d) 169
e) 85
Classifique cada sentença em verdadeira ou falsa:
( ) ( a +b )² = a² + 2ab + b²
( ) ( a - b )² = a² - 2ab + b²
( ) ( a + b ) .( a – b) = a² + b²
( ) ( a +b)³ = a³ + 3a²b + 3ab² + b³
( ) ( a -b)³ = a³ - 3a²b + 3ab² - b³
Fatore cada polinômios de acordo com o caso:
a) m² - 14am + 49a² =
b) m2 – 9n² =
c) 30+ 5xy + 12a +2axy =
d) 8a²b + 10ab²
Answers
Answer:
1. A resposta é a opção C.
2. ( a +b )² = a² + 2ab + b² Verdade
( a - b )² = a² - 2ab + b² Verdade
( a + b ) .( a – b) = a² + b² Falso
( a +b)³ = a³ + 3a²b + 3ab² + b³ Verdade
( a -b)³ = a³ - 3a²b + 3ab² - b³ Verdade
3. a.) m² - 14am + 49a² = ( m - 7a)²
b) m2 – 9n² = m² - (3n)² = (m + 3n)(m - 3n)
c) 30+ 5xy + 12a +2axy = (6 + xy)(5 + 2a)
d) 8a²b + 10ab² = 2ab( 4a + 5b)
Espero que isso ajude você
A standard 52-card deck of French playing cards consists of four suits: hearts, spades, clubs, and diamonds. There are 13 cards of each suit; each suit has cards of rank 2 through 10, along with an ace, king, queen, and jack. Typically, hearts and diamonds are the red suits, while spades and clubs are the black suits. Four cards are drawn from the deck, one at a time, without replacement. a) The second card drawn is from a red suit. Based on this information, what is the probability it is a heart
Answers
Answer:
P = 0.5
Step-by-step explanation:
Let's call A the event that the second card is red suit and B the event that the second card is a heart.
So, the probability that the second card is a heart given that is a red suit is calculated as:
P(B/A) = P(A∩B)/P(A)
Additionally, the probability P(A∩B) that the second card is a red suit and is a heart is equal to the probability P(B) that the second card is a heart. So,
P(B/A) = P(B)/P(A)
Then, P(A) is equal to 0.5 because half of the cards are red cards and P(B) is equal to 0.25 because a quarter of the cards are red. Finally, P(B/A) is equal to:
P(B/A) = 0.25/0.5 = 0.5
What is the slope of a line perpendicular to y=-7X?
O A.
4
B.
IN
N
O c.
4
O D.
PLZZZ HELP
Answers
Answer:
1/7
Step-by-step explanation:
y=-7X
The slope of this line is -7
Perpendicular lines have slopes that multiply to -1
-7 * m = -1
Divide each side by -7
m = -1 / -7
m = 1/7
The slope of the perpendicular line is 1/7
Answer:
1/7
Step-by-step explanation:
Perpendicular slope can be calculated by take the opposite/negative reciprocal of the given slope. This means multiply the given slope by -1 (so if it is negative it becomes positive and if it is positive then becomes negative) and then flip the numerator and denominator.
So -7 is the slope of the given equation (y = mx + b where is m is slope and b is the y-intercept).
to find perpendicular slope..
Step 1. Multiple -7 by -1 = 7
Step 2. Flip 7/1 to 1/7
Answer: 1/7 is perpendicular slope
A random sample of 11 students produced the following data, where x is the hours spent per month playing games, and y is the final exam score (out of a maximum of 50 points). The data are presented below in the table of values. x y 14 46 15 49 16 37 17 42 18 37 19 31 20 25 21 23 22 20 23 15 24 12 What is the equation of the regression line?
Answers
Answer:
y= -3.7x+100.94
Step-by-step explanation:
Generally this type of problems is solved by using a calculator or a spreadsheet. Now, getting the final equation depends on the model of calculator you are using, so I will suggest you look for the instructions on your calculator's instruction manual. I'll provide indications for using excel.
So first you need to input the table on an excel sheet. You can input them just the same way they were given to you. (See attached picture)
Once you inputed them, you can highlight them and go to the insert tab. There you can pick the scattering plot option. Once the scatterplot is graphed, you can right-click on the graph and a menu should appear. Pick the option add tendency line. Choose the line option and below, you can mark the option present equation on the graph and present the value of R. And that will be it! Excel will automatically provide you with the equation of the regression line you need.
Most scientific calculators nowaday can provide you with the equation, you just need to input the data and they will return the slope and y-intercept of the line.
There are other formulas you can use to find this regression by hand, but they are generally used in statistics courses.
How many meters make a centimeter
Answers
Answer:
There are 0.01 meters in a centimeter.
Step-by-step explanation:
cent means 100th
Hope this helps :)
the pie chart on the left shows the mean of transport 60 people use every morning to get to work. How many people use the train to go to work
Answers
Answer:
I wanna end myself bye random stranger.
I need help on question 6.
Answers
Answer: 135 degrees
Step-by-step explanation:
First you now that ABD+DBC=180 degrees
Subsitute so you get: (5x+10)+(2x-5)=180
Solve:
(5x+10)+(2x-5)=180
=> 7x+5=180
=> 7x=175
=> x= 25
Plug in 25 :
ABD= 5*25+10=135
And there is your answer
Two dice are rolled. Determine the probability of the following: rolling a 6 or doubles
Answers
Answer as an exact fraction = 5/18
Answer as an approximate decimal = 0.2778
Answer as an approximate percentage = 27.78%
============================================================
Explanation:
x = result of the first die
y = result of the second die
(x,y) paired together shows the results of both dice at the same time.
Something like (x,y) = (4,2) means we got 4 on the first die and 2 on the second die.
--------
Let's list the ways of rolling a 6
(1,5)(2,4)(3,3)(4,2)(5,1)There are 5 ways to roll a 6. Each pair listed has the property x+y = 6.
--------
List all the ways of getting doubles
(1,1)(2,2)(3,3)(4,4)(5,5)(6,6)There are 6 ways to roll doubles. Each pair mentioned has x = y.
--------
We have 5+6 = 11 items listed above. However, there are only 10 unique pairs though because (3,3) was listed twice. So we could say 5+6-1 = 11-1 = 10.
This is out of 6*6 = 36 different ways to roll the two dice. The probability is therefore 10/36 = 5/18.
Using a calculator, 5/18 = 0.2778 = 27.78%
Pablo Picasso is making one color version of all his paintings. He uses the colors in the following order and then starts over from the begining red, blue, pink, green, and purple. What color is painting 27
Answers
Answer:
The answer is blue
Step-by-step explanation:
There are five colors. So count by fives until you hit 25.
red, blue, pink, green, and purple. 5
red, blue, pink, green, and purple. 10
red, blue, pink, green, and purple. 15
red, blue, pink, green, and purple. 20
red, blue, pink, green, and purple. 25
Then count to 27.
red, blue. 27
So it is blue.
This question is determined by using simple mathematics tricks . Therefore, the color is blue on painting 27.
Given:
The order of painting begin from the red, blue, pink, green, and purple.
We need to determined the color of 27 painting.
According to question,
There are five colors for painting, count by fives until you hit 25.
Now, count the colors,
red, blue, pink, green, and purple - 5
red, blue, pink, green, and purple - 10
red, blue, pink, green, and purple - 15
red, blue, pink, green, and purple - 20
red, blue, pink, green, and purple - 25
Now at 26 there is red and at 27 there is blue color.
Therefore, the color is blue on painting 27.
For further details, please prefer this link:
https://brainly.com/question/4271236
Find X. Please help.
Answers
Answer:
22.62°
Step-by-step explanation:
tan x = 5/12
tan x = 0.416666667
x = arctan(0.416666667)
x = 22.61986983
x = 22.62°
Stuck on this one, help asap please
Answers
Answer:
Tan B = 24/10 = 12/5
Step-by-step explanation:
Tangent is opposite/adjacent. The side opposite of B is 24 and adjacent to that is 10.
Eighteen telephones have just been received at an authorized service center. Six of these telephones are cellular, six are cordless, and the other six are corded phones. Suppose that these components are randomly allocated the numbers 1, 2, . . . , 18 to establish the order in which they will be serviced. (Round your answers to four decimal places.)
(a) What is the probability that all the cordless phones are among the first twelve to be serviced?
(b) What is the probability that after servicing twelve of these phones, phones of only two of the three types remain to be serviced?
(c) What is the probability that two phones of each type are among the first six serviced?
Answers
Answer:
a) 0.0498
b) 0.1489
c) 0.1818
Step-by-step explanation:
Given:
Number of telephones = 6+6+6= 18
6 cellular, 6 cordless, and 6 corded.
a) Probability that all the cordless phones are among the first twelve to be serviced:
12 are selected from 18 telephones, possible number of ways of selection = ¹⁸C₁₂
Then 6 cordless telephones are serviced, the remaining telephones are: 12 - 6 = 6.
The possible ways of selecting thr remaining 6 telephones = ¹²C₆
Probability of servicing all cordless phones among the first twelve:
= (⁶C₆) (⁶C₁₂) / (¹⁸C₁₂)
[tex] = \frac{1 * 924}{18564} [/tex]
[tex] = 0.0498 [/tex]
b) Probability that after servicing twelve of these phones, phones of only two of the three types remain to be serviced:
Here,
One type must be serviced first
The 6 remaining to be serviced can be a combination of the remaining two types.
Since there a 3 ways to select one type to be serviced, the probability will be:
= 3 [(⁶C₁)(⁶C₅) + (⁶C₂)(⁶C₄) + (⁶C₃)(⁶C₃) + (⁶C₄)(⁶C₂) + (⁶C₅)(⁶C₁)] / ¹⁸C₁₂
[tex] = \frac{3 * [(6)(6) + (15)(15) + (20)(20) + (15)(15) + (6)(6)]}{18564}[/tex]
[tex] = \frac{2766}{18564} [/tex]
[tex] = 0.1489 [/tex]
c) probability that two phones of each type are among the first six:
(⁶C₂)³/¹⁸C₆
[tex] \frac{3375}{18564}[/tex]
[tex] =0.1818 [/tex]
Please answer this correctly
Answers
Answer:
50%
Step-by-step explanation:
There are 3 numbers that fit this rule, 4, 5, and 6. Since there are 6 number total, and 3 fit the rule, there is a 3/6 chance or 50% or rolling either of those numbers.
Answer:
50%
Step-by-step explanation:
The numbers that are 5 or greater than 3 on a dice are 4, 5, and 6.
3 numbers out of 6.
3/6 = 1/2
Convert to percentage.
1/2 × 100
= 50%
P(5 or greater than 3) = 50%
The water was pumped out of a backyard pond. What is the domain of this graph?
Answers
What is the volume of a sphere, to the nearest cubic inch, if the radius is 7 inches? Use π = 3.14.
Answers
Answer:
[tex]V=\frac{4}{3}\pi r^{2}[/tex]
=[tex]\frac{4}{3}[/tex] x [tex]\pi[/tex] x [tex]7^3[/tex]
= 1436.755040
Volume = 1436.755040
Step-by-step explanation:
Answer:
1436.03 in³
Step-by-step explanation:
We can use the formula V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex]r³
Plug in 7 for r:
V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex](7)³
Plug in 3.14 for pi:
V = [tex]\frac{4}{3}[/tex](3.14)(343)
V = 1436.03 in³
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Answers
Answer:
The picture on the bottom right.
Step-by-step explanation:
There are eight compartments and seven of it is shaded and the other one five of the eight compartments are shaped.
I hope this helps :)
what is the remainder when x+ - 2x2 – 3x – 7 is divided by x + 2?
Answers
x+-2*2-3x-7
x+4-3x-7
x+1.x-7
x.x-7
2x-7
I'm having trouble finding the missing number. Please simplify the resulting fraction. Thank you in advance. : 0) 7/8 = ?/48
Answers
Answer:
42
Step-by-step explanation:
7/8 = x / 48
We need to get a common denominator
Multiply the left side by 6
7/8 *6/6 = x/48
42/48 = x/48
Since the denominators are equal, the numerators must be equal
42 =x
Answer:
42
Step-by-step explanation:
7/8=42/48
Cross products: 7(48)=8x
The weights of items produced by a company are normally distributed with a mean of 5 ounces and a standard deviation of 0.2 ounces. What is the minimum weight of the heaviest 9.85% of all items produced?
Answers
Answer:
The minimum weight of the heaviest 9.85% of all items produced is 5.26 ounces.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 5, \sigma = 0.2[/tex]
What is the minimum weight of the heaviest 9.85% of all items produced?
This is the 100 - 9.85 = 90.15th percentile, which is X when Z has a pvalue of 0.9015. So X when Z = 1.29.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.29 = \frac{X - 5}{0.2}[/tex]
[tex]X - 5 = 1.29*0.2[/tex]
[tex]X = 5.26[/tex]
The minimum weight of the heaviest 9.85% of all items produced is 5.26 ounces.
If the distribution of weight of newborn babies in Maryland is normally distributed with a mean of 3.89 kilograms and a standard deviation of 0.68 kilograms, find the weights that correspond to the following Z-scores. Round your answers to the nearest tenth, if necessary. (a) z = -1.35 kilograms (b) z = 2.64 kilograms
Answers
Answer:
a) 3 kilograms
b) 5.7 kilograms
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
[tex]\mu = 3.89, \sigma = 0.68[/tex]
We have to find X for both values of Z.
a) z = -1.35
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.35 = \frac{X - 3.89}{0.68}[/tex]
[tex]X - 3.89 = -1.35*0.68[/tex]
[tex]X = 3[/tex]
3 kilograms
b) z = 2.64
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.64 = \frac{X - 3.89}{0.68}[/tex]
[tex]X - 3.89 = 2.64*0.68[/tex]
[tex]X = 5.7[/tex]
5.7 kilograms
17. Write the greatest and the smallest 4-digit numbers using four different digits
with the conditions as given:
( Digit 7 is always at units place.
Answers
Answer:
Greatest number = 9867
Smallest number = 1027
Step-by-step explanation:
Greatest number:
- - - 7
In order to form the greatest number, we should simply put the greatest available digit at the thousands place, the second greatest at the hundreds place and the third greatest at the tens place (which would be 9, 8, and 6 respectively).
9867
Smallest number:
- - - 7
In order to form the greatest number, we should simply put the lowest available digit at the thousands place (excluding zero since a number can't start with a zero), put zero at the hundreds place and the third lowest at the tens place (which would be 1, 0, and 2 respectively).
1027
Suppose you do an experiment where you roll a standard die twice. You decide to keep performing this experiment unless you get a sum of the rolls to be exactly 6. How many times do you feel you have to do this experiment on an average?
Answers
Answer:
7.2 times
Step-by-step explanation:
There are 36 possible outcomes when rolling a die twice and adding the results. The outcomes for which the sum is 6 are:
Sum = 6: {1,5; 2,4; 3,3; 4,2; 5,1}
Therefore there is a 5 in 36 chance that the sum will be 6.
The expected number of trials to achieve that result is given by:
[tex]E = \frac{36}{5}\\E=7.2\ times[/tex]
On average, it would take 7.2 trials to achieve a sum of 6.