The most appropriate choice for exponent will be given by-
Mass of jupiter = 1.898 [tex]\times[/tex] [tex]10^{27}[/tex] kg
What are exponent?
Exponent tells us how many times a number is multiplied by itself.
For example : In [tex]2^4 = 2 \times 2 \times 2 \times 2[/tex]
Here, 2 is multiplied by itself 4 times.
If [tex]a^m = a\times a \times a\times....\times a[/tex] (m times), a is the base and m is the index.
The laws of index are
[tex]a^m \times a^n = a^{m+n}\\\\\frac{a^m}{a^n} = a^{m - n}\\\\a^0=1\\\\(a^m)^n = a^{mn}\\\\(\frac{a}{b})^m =\frac{a^m}{b^m}\\\\a^{-m} = \frac{1}{a^m}[/tex]
Here,
Mass of jupiter = 1.898 [tex]\times[/tex] [tex]10^{27}[/tex] kg
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hi. i accidentally pressed an answer so ignore that
Answer:
I believe that it's the letter "H"
Step-by-step explanation:
HELP?
Line segment AB has a length of 5 units. It is translated 3 units to the right on a coordinate plane to obtain line segment A prime B prime. What is the length of A prime B prime? (5 points)
Group of answer choices
5 units
2 units
4 units
3 units
The length of A'B' = 5 units
The line segment AB is of 5 units. AB is then transformed through translation of 3 units to the right.
The translation only means change through a straight line. This transformation does not change the length of a line segment.
So the length of A'B' will also be 5 units.
But the position of A'B' will be different from that of AB on the co-ordinate plane. To be exactly, A'B' would be 3 units right to the position of AB on the co-ordinate plane.
Also the co-ordinates of A'B' will be different. Still their lengths will be same.
Thus the length of A'B' = 5 units
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1/2 (9+8) please answer
Step-by-step explanation:
8.5 I believe is the answer
A manufacturer inspects 100 boxes of ice cream cones
after production to make sure no cones are cracked or
damaged. They find that 97 boxes have no defects. If
5,000 boxes of ice cream cones are being shipped to the
grocery stores, predict how many boxes will have damaged
ice cream cones.
Answer:
4850 boxes
Step-by-step explanation:
97 out of 100 boxes have no defects, can be translated into 97% of boxes have no defects. Using this number, we can find 97% of 5,000 to make an estimate of how many boxes will not have defects
.97(5,000)=4850
Kimi and Jordan are both working during the summer to earn money and they are saving all their money. Kimi earns $9 an hour at her job, and has $6 saved up initially. Jordan earns $7.50 an hour, and has $18 saved up initially.
Using linear functions, it is found that they will have the same amount after 8 hours.
What is a linear function?A linear function, in slope-intercept format, is given by:
y = mx + b
In which the coefficients are described as follows:
The coefficient m is the slope of the function, which is the rate of change of the function, that is, the change in y divided by the change in x.The coefficient b is the y-intercept of the function, which is the the value of y when the function crosses the y-axis(x = 0).In the context of this problem, for their earning functions, we have that:
The slope is represented by the hourly earnings.The intercept is represented by the initial amount saved.Hence the functions are given as follows:
Kimi: K(x) = 6 + 9x.Jordan: J(x) = 18 + 7.5x.The number of hours after which they will have the same amount is found solving the following equation for x.
K(x) = J(x)
6 + 9x = 18 + 7.5x.
1.5x = 12
x = 12/1.5
x = 8 hours.
What is the missing information?This problem is incomplete, hence we suppose that it asks after how many hours they will have the same amount.
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how do you know when to add or subtract when doing the distributive property for (2-6s)(-5)
Here, we want to use the distributive property
To use this, the operator at the middle of the two initial terms will tell us the sign to use
Looking at the first expression, we can see a negative sign between 2 and -6s
Thus, in this case, when using the distributive property, we proceed as follows;
[tex]\begin{gathered} (2-6s)(-5)\text{ = (2}\times(-5))\text{ - (6s}\times(-5)) \\ =\text{ -10 - (-30s)} \\ =\text{ -10 +30s = 30s-10} \end{gathered}[/tex]Write an algebraic expression to model this word phrase: The quotient of the sum of 6 and a number, x, and 4
Answer:
(6+x)/4
Step-by-step explanation:
I need help on A, E on these questions thank you in advance!!
Answer: (-10, 20) and (6.5, 14)
Step-by-step explanation:
When x is -3 the equation would look as so:
y=6(-3)+8
y=-18+8
Then you would simplify: -18+8=-10
So: y=-10 when x is -3
Next, when x is 2 the equation would look as so:
y=6(2)+8
y=12+8
Simplify: 12+8=20
So: y is 20 when x is 2
For the equation y=1.5x+11 and x is -3 the equation will look like:
y=1.5(-3)+11
y=-4.5+11
Simplify: -4.5+11= 6.5
So y is 6.5 when x is -3
Next when x is 2 the equation would look like:
y=1.5(2)+11
y=3+11
Simplify: 3+11=14
So y is 14 when x is 2
What is the probability a rolling a 1, 2 or 3 on a number cube on your first roll, then a 5 or 6 the second roll?
% (answer as a percent round to the nearest whole percent)
The probability of rolling dice twice
What is Probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Total no. of outcomes = 6
The probability of getting a 1,2 or 3 from the first rolling is 3/6.
The probability of getting a 5 or 6 from second rolling is 2/6
As the two rollings are independent,
you can just multiply two probability values to come up with a final answer.
Which is,
= (3/6) x (2/6)
= (1/2) x (1/3)
= (1/6)
The probability a rolling a 1, 2 or 3 on a number cube on your first roll, then a 5 or 6 the second roll is 1/6 or 0.16
Probability in % will be
0.16 x 100/100
= 16%
Hence, The probability a rolling a 1, 2 or 3 on a number cube on your first roll, then a 5 or 6 the second roll is 16%
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which number would go outside the circles?
Answer:
D. 7/9
Step-by-step explanation:
Whole numbers are all natural numbers, or positive numbers that are not fractions (including 0). A and C are whole numbers because they are positive and not fractions.
Integers are all whole numbers, but negative numbers are included as well. B is an integer because it is the negative version of a whole number.
D is a fraction, therefore being neither.
7. K Corporation sells 4 times as many GE dishwashers as Wallace Company. The difference
between their sales is 180 dishwashers. How many GE dishwashers did each sell?
Number of GE dishwashers sell by K corporation and Wallace company is equal to 240 and 60 respectively.
As given in the question,
Let x be the number of dishwasher sell by K Corporation
And y be the number of dishwasher sell by Wallace Company
K Corporation sells 4 times GE dishwashers as compare to Wallace Company.
x = 4y ___(1)
Difference between sells of K Corporation and Wallace Company
x - y = 180 __(2)
Substitute the value of (1) in (2)
4y - y =180
⇒ 3y = 180
⇒ y = 60
Hence, x = 4 ×60
= 240
Therefore, number of GE dishwashers sell by K corporation and Wallace company is equal to 240 and 60 respectively.
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please help literally dying
Answer:
56
Step-by-step explanation:
if G(x)=−3x+5, find: G(x-4)
Answer:G(x-4)=-3x+17
Step-by-step explanation:
First, replace everywhere in the equation that there is x to (x-4)
then you simplify it
=-3(x-4)+5
=-3x+12+5
=-3x+17
How many times will you use the digit 0 if you write all the natural numbers from 1 to
100?
Answer:
From 1 to100 11 times 0 will be used
Answer:
11
Step-by-step explanation:
this is the answer to your question
Kylie buys a two-quart bottle of juice for $9.60. What is the unit rate of the
cost of the juice per fluid ounce?
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 fluid ounces
Before you try that problem, answer the question
below.
How many fluid ounces of juice did Kylie buy?
Answer:
Answer 1:$0.15(15 cents) is the unit rate.
Answer 2:Kylie bought 64 fluid ounces.
Step-by-step explanation:
Step 1
2 quarts=4 pints
4 pints=8 cups
8 cups=64 fluid ounces
Step 2
$9.60÷64=0.15$
Write an equation for the line that passes through (2, 5) and (6, 7). You may use graphing paper as needed for this question.
Enter in the equation below:
The equation of the line that passes through the point (2, 5) and (6, 7) is
y = (1/2)x + 4.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
We have,
The equation of a line passes through points (2, 5) and (6, 7).
The equation of a line can be written as:
y = mx + c ______(1)
Points (2, 5) and (6, 7) must satisfy line (1).
5 = 2m + c _____(A)
7 = 6m + c ______(B)
From (A),
c = 5 - 2m
Putting in (B).
7 = 6m + 5 - 2m
7 = 4m + 5
2 = 4m
m = 1/2
Putting in (A) we get,
5 = 2 x 1/2 + c
5 = 1 + c
c = 4
Now,
The equation of the line is:
y = (1/2)x + 4.
Thus,
The equation of the line that passes through the point (2, 5) and (6, 7) is
y = (1/2)x + 4.
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Pablo has 300 more dollars than Al. This is also four times as much as money as Al has. How
much money does Al have?
Jenny is making jewelry craft kits. She purchases 3 bags of each color band. She divides the total number of bands equally into 4 kits. How many bands are in each kit?
Answer:
12
Step-by-step explanation:
Given:
3 bags of each color band
4 kits
To "divide equally" we need the greatest number that divides the two numbers 3 and 4 equally.
Find the greatest common factor of 3 and 4:
factors of 3 = 1,3,6,9,12,15,18,21,24....
factors of 4 = 1,2,4,8,12,16,20,24...
How many bands are in each kit?
12 or any other number that is a factor of both 3 and 4 such as 24,..etc.
david and daniel were given the same number of dollars by their father. david earned money doing chores until he had twice as much as he started with. daniel didn't earn any more, but he reciaved $12 for his birthday. if the boys still have the same amount of money, how much did their father give each one?
David and Daniel were given $12 each in the beginning as the given condition.
What are conditions?
A condition that must be met in order for the given statement or theorem to hold. also known as a problem.A necessary condition is one that must exist in order for the given statement to be true (if satisfied it maybe true as there maybe more than one necessary conditions). On the other hand, a sufficient condition is one that, even if it is satisfied, does not automatically imply that the proposition is true.Let david and daniel were given = $x each as per statement.
at the end david had = 2x
and daniel had= x+12
Condition is given that : in the end, the boys still have the same amount of money.
Therefore, equating both what David and Daniel had
2x=x+12
x=12
David and Daniel were given $12 each in the beginning as the given condition.
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7. You have $170. You start a part-time job that pays $8.50 per hour.
a. Does the situation represent a function? If so, identify the independent and
dependent variables.
b. You work no more than 4 hours. Find the domain and range.
The situation represent the relation as I = 170+8.50t, where I= income is the dependent variable and t is working hour, is the independent variable.
What is dependent variable and independent variable?
The dependent variable is the variable in a function or experiment whose value depends on the independent variable. The independent variable is the known variable that is manipulated in order to determine its effect (if any) on the dependent variable.
The situation describes the function of income from working hours.
I = 170+8.50t.
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Sarah's wrote the equation y = 2 + 3x. Why is Sarah's equation incorrect? What is the correct equation?
Amelia purchased an artwork for $1500 as an investment. At the end of each year its value is 1.01 times its value at the beginning of the year. Its value t years after purchase is given by V=A×1.01t.
What is the value of A?
The value of A from the equation is given by A = V ÷ ( 1.01 t )
The equals sign is a symbol used in mathematical formulas to denote the equality of two expressions.
The word equation and its cognates can have slightly different meanings in different languages.For instance, in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign, whereas in French, an equation is defined as containing one or more variables. The first step in resolving a variable equation is to identify the values of the variables that lead to equality. The equation's solutions are the values of the unknown variables that satisfy the equality, which are often referred to as the variables for which the equation must be solved.The given equation is of the form V = A × 1.01t
V = A × 1.01t
or, A = V ÷ ( 1.01 t )
Therefore the value of A from the equation is V ÷ ( 1.01 t ) .
The value of A from the equation is V ÷ ( 1.01 t ) .
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I need help to understand why there is a 12 in the formulaThe repayment parameters of the $10,000 loan Trey qualifies for are given as follows; = $185.48 × 5 × 12 = $11,128.8While the total repayment amount for the 10 year loan term, '' is given as follows; = $102.63 × 10 × 12 = $12,315.6The difference between the total repayment for the 10-year term and the 5-year term loan, - , is given as follows; - = $12,315.6 - $11,128.8 = $1,186.80Therefore, the 5-year term is lower than the 10-year term by $1,186.80
Given the monthly payments for each one of the two terms, we can calculate the total repayment of the 5-year and 10- years term.
As for the 5-year plan,
[tex]\begin{gathered} 5\cdot12=60\to\text{months in 5 years} \\ 60\cdot185.48=11128.8 \end{gathered}[/tex]Similarly, for the 10-year plan,
[tex]\begin{gathered} 10\cdot12=120\to\text{months in 10 years} \\ 120\cdot102.63=12315.6 \end{gathered}[/tex]Finally, the difference between these two quantities is
[tex]12315.6-11128.8=1186.8[/tex]The answer is 'The 5-year term would be 1186.80 lower', option B
what is the answer to1 /2 ÷ –4 /7
Answer:1/2-1/4
(1/2x2)-1/4
2/4-1/4
2-1
1
1/4
Step-by-step explanation: i did this good luck
Calculate the simple interest on $8,500 at an 8% interest rate for 6 months.
The simple interest formula is
[tex]I=P\cdot r\cdot t[/tex]Where P is the principal, r is the interest rate and t is time in years.
Replacing the given information, we have
[tex]I=8,500\cdot0.08\cdot\frac{6}{12}=340[/tex]Therefore, the simple interest would be $340.Question NEEDS ANSWERING
Evaluate. (−13+0.6(−12)+1)2 What is the value of the expression? Enter your answer as a simplified fraction in the box.
The numeric value of the given expression is as follows:
121/900.
Numeric value of expressionThe expression is defined as follows:
[tex]\left(-\frac{1}{3} + 0.6\left(-\frac{1}{2}\right) + 1\right)^2[/tex]
The parenthesis take precedence. If there are more than one parenthesis, the inside one takes precedence.
The fraction equivalent of 0.6 is of 3/5, hence:
[tex]\left(-\frac{1}{3} + \frac{3}{5}\left(-\frac{1}{2}\right) + 1\right)^2[/tex]
Solving the internal parenthesis, the expression is:
[tex]\left(-\frac{1}{3} - \frac{3}{10} + 1\right)^2[/tex]
The least common multiple of 3, 10 and 1 is of 30, hence:
[tex]\left(-\frac{1}{3} - \frac{3}{10} + 1\right)^2 = \left(\frac{-10 - 9 + 30}{30}\right)^2 = \left(\frac{11}{30}\right)^2[/tex]
To find the square of the fraction, we find the square of the numerator and the denominator, hence the numeric value of the expression is:
121/900.
Missing informationThe expression is:
[tex]\left(-\frac{1}{3} + 0.6\left(-\frac{1}{2}\right) + 1\right)^2[/tex]
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What will be the answers to these questions?
(a). 4,5,6,7,...... , ......
The term-to-term rule is Aₙ = Aₙ₋₁ + 1The next numbers in the sequence is 8 , 9The position-to-term rule is Aₙ = 1 + (n - 1)*1Consecutive rule is works for the first three terms.(b) . 10,11,12,13,......,......
The term-to-term rule is Aₙ = Aₙ₋₁ + 1The next numbers in the sequence is 14 , 15The position-to-term rule is Aₙ = 1 + (n - 1)*1Consecutive rule is works for the first three terms.(c) . 24,25,26,27,.....,....
The term-to-term rule is Aₙ = Aₙ₋₁ + 1The next numbers in the sequence is 28 , 29The position-to-term rule is Aₙ = 1 + (n - 1)*1Consecutive rule is works for the first three terms.(d) . 1,3,5,7,......,.....
The term-to-term rule is Aₙ = Aₙ₋₁ + 2The next numbers in the sequence is 9 , 11The position-to-term rule is Aₙ = 2 + (n - 1)*2Consecutive rule is works for the first three terms.Here we have the sequence:
(a) . 4,5,6,7,...,.....
To check this, let's find the difference between the consecutive terms:
5 - 4 = 1
6 - 5 = 1
7 - 6 = 1
(i) . The term-to-term rule is the rule that defines the [tex]n^{th}[/tex] term based on the previous terms.
Here we already know that each term in this sequence is the previous one plus six, so we can write this as:
Aₙ = Aₙ₋₁ + 1
(ii) . Then the next number in the sequence will be equal to the previous number plus 1, this is:
7 + 1 = 8
8 + 1 = 9
The next numbers in the sequence is 8 , 9
(iii) . The position-to-term rule is the general one.
Here we need to know that, the first term, A₁ = 1
Then, the [tex]n^{th}[/tex] term will be A₁ plus (n - 1) times 1.
Then the rule is:
Aₙ = A₁ + (n - 1)*1
Replacing A₁ by its value, the rule becomes:
Aₙ = 1 + (n - 1)*1
(iv) . We can assume that this is an arithmetic sequence, this is, the difference between any two consecutive terms is always the same, D.
5 - 4 = 1
6 - 5 = 1
7 - 6 = 1
So we can conclude that this is an arithmetic sequence, and the difference between any two consecutive terms is always 1.
Hence, Consecutive rule is works for the first three terms.
(b) . 10,11,12,13,.......,......
To check this, let's find the difference between the consecutive terms:
11 - 10 = 1
12 - 11 = 1
13 - 12 = 1
So, b is same to a.
(c) . 24,25,26,27,......,.....
To check this, let's find the difference between the consecutive terms:
25 - 24 = 1
26 - 25 = 1
27 - 26 = 1
(i) . The term-to-term rule is the rule that defines the [tex]n^{th}[/tex] term based on the previous terms.
Here we already know that each term in this sequence is the previous one plus six, so we can write this as:
Aₙ = Aₙ₋₁ + 1
(ii) . Then the next number in the sequence will be equal to the previous number plus 1, this is:
27 + 1 = 28
28 + 1 = 29
The next numbers in the sequence is 28 , 29
(iii) . The position-to-term rule is the general one.
Here we need to know that, the first term, A₁ = 1
Then, the [tex]n^{th}[/tex] term will be A₁ plus (n - 1) times 1.
Then the rule is:
Aₙ = A₁ + (n - 1)*1
Replacing A₁ by its value, the rule becomes:
Aₙ = 1 + (n - 1)*1
(iv) . We can assume that this is an arithmetic sequence, this is, the difference between any two consecutive terms is always the same, D.
25 - 24 = 1
26 - 25 = 1
27 - 26 = 1
So we can conclude that this is an arithmetic sequence, and the difference between any two consecutive terms is always 1.
Hence, Consecutive rule is works for the first three terms.
(d) . 1,3,5,7,......,......
To check this, let's find the difference between the consecutive terms:
3 - 1 = 2
5 - 3 = 2
7 - 5 = 2
(i) . The term-to-term rule is the rule that defines the [tex]n^{th}[/tex] term based on the previous terms.
Here we already know that each term in this sequence is the previous one plus six, so we can write this as:
Aₙ = Aₙ₋₁ + 2
(ii) . Then the next number in the sequence will be equal to the previous number plus 1, this is:
7 + 2 = 9
9 + 2 = 11
The next numbers in the sequence is 9 , 11
(iii) . The position-to-term rule is the general one.
Here we need to know that, the first term, A₁ = 2
Then, the [tex]n^{th}[/tex] term will be A₁ plus (n - 1) times 1.
Then the rule is:
Aₙ = A₁ + (n - 1)*1
Replacing A₁ by its value, the rule becomes:
Aₙ = 2 + (n - 1)*2
(iv) . We can assume that this is an arithmetic sequence, this is, the difference between any two consecutive terms is always the same, D.
3 - 1 = 2
5 - 3 = 2
7 - 5 = 2
So we can conclude that this is an arithmetic sequence, and the difference between any two consecutive terms is always 2.
Hence, Consecutive rule is works for the first three terms.
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Solve for x.
5r — 29 >_34
OR 2x +31 < 29
The value of the variable 'x' by using simplification method is: x > -1
What is simplification?
In mathematics, the simplification method is used to simplify the complicated or inequality expression. Basically, it convert the complicated expression to simpler one to make the easy calculation.
According to the question, the given inequality equations are as follows:
5r — 29 >_34 and 2x +31 < 29
For the variable 'x', the given equation can be simplified by using simplification method, we get:
2x +31 < 29 ⇒ 2x < 29 - 31 ⇒ 2x < -2 ⇒ x > -1
Hence, the value of the variable 'x' by using simplification method is: x > -1
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parellel lines r and s are crossed by transversal line t and create an angle that measures 117 as shown fill in the other seven angles created with their measures
Pls help I’ll give Brainliest :)
Answer:
B. 5.5 batches
Step-by-step explanation:
22 oz / 4 = 5.5
