Answer:
Move it 2 places to the right.
Step-by-step explanation:
The magnitude of the exponent of 10 tell you how many places to move
The sign of the exponent of 10 tells you the direction.
Positive, decimal moves right.
Negative, decimal moves left.
Can someone help !!
2. What is the probability that you select a Jack given that it is a Club?
P(Jack∣Club)=
3. What is the probability that you select a Club given that it is a Jack?
P(Club∣Jack)=
4. What is the probability that you select a card that is NOT a Jack given that it is NOT a Club?
P(NotJack∣NotClub)=
5. What is the probability that you select a card that is NOT a Club given that is it NOT a Jack?
The probability that you select a Jack given that it is a Club P(Jack∣Club) is 1/13.
The probability that you select a Club given that it is a Jack is P(Club∣Jack) is 1/4.
The probability that you select a card that is NOT a Jack given that it is NOT a Club,P(NotJack∣NotClub) is 47/38
The probability that you select a card that is NOT a Club given that is it NOT a Jack is 38/47
The probability that you select a Jack given that it is a Club P(Jack|Club):
There are 4 Jacks in a deck (one for each suit), and since we are given that the selected card is a Club, we only need to consider the 13 cards in the Club suit.
So, the number of favorable outcomes is 1 (the Jack of Clubs), and the total number of possible outcomes is 13 (the number of cards in the Club suit)
P(Jack|Club) = 1 / 13
The probability that you select a Club given that it is a Jack
P(Club|Jack):
P(Club|Jack) = Number of favorable outcomes / Total number of possible outcomes
P(Club|Jack) = 1 / 4
The probability that you select a card that is not a Jack given that it is not a Club
P(NotJack|NotClub):
The number of cards that are not Jacks is 52 - 4 = 48 (since there are 4 Jacks in the deck), and the number of cards that are not Clubs is 52 - 13 = 39 (since there are 13 cards in the Club suit).
P(NotJack|NotClub) = Number of favorable outcomes / Total number of possible outcomes
P(NotJack|NotClub) = (48 - 1) / (39 - 1)
=47/38
P(NotClub|NotJack) = (39 - 1) / (48 - 1)
=38/47
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what is the estimated sum of 6/7 plus 4/7
Answer:
10/7
Step-by-step explanation:
6/7+4/7= 6+4/7= 10/7
Is this your question?
Answer:
1, hope this helps!
Step-by-step explanation:
I took the test
please can anyone help !!!! i need this to graduate!!! i’m desperate
The overall net force operating on an item in the lateral direction is referred to as a lateral force.
What is lateral forces?An element of a wooden container or crate that is positioned at an angle to other elements to increase strength.
The square of the hypotenuse's length (c) equals the squares of the lengths of a right triangle's opposite sides (a) and (b), according to the formula a2 + b2 = c2 (b). Therefore, using two arms of 54 units each, we can compute the diagonal's length as follows: (542 + 542) = c2, or the diagonal's squared length.
The total net force operating on an item in the lateral direction is referred to as a lateral force. The horizontal direction and lateral direction are frequently used interchangeably.
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can anyone find out what this is?
Answer:
Expression D
Step-by-step explanation:
all other answers are above 15! hope this helps :D
Yeah so um someone please help me
Answer:
4/35
Step-by-step explanation:
V(volume)= l(length) times w(width) times h(height), or
V=lwh
substitute these values for the dimensions of the prism,
V= 3/5 × 1/3 × 4/7, and simplify.
4/35
Plz yo help I don’t know this
Which fraction is equivalent to
To
-4/6
9x − 8y = 12 solve for y
y=?
Answer:
y=9/8x+-3/2
Step-by-step explanation:
Step 1: Add -9x to both sides.
9x−8y+−9x=12+−9x
−8y=−9x+12
Step 2: Divide both sides by -8.
-8y/-8=-9x+12/-8
y=9/8x+ -3/2
What is the maximum of f(x)=sin(x)
Answer:
1
Step-by-step explanation:
The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2. If you look at a graph of
y = sin(x) you can see this.
Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.
Step-by-step explanation:
Property of Sine function:
Sin(x)=0 when x=90°,180°,360°The maximum and Minimum value of Sin(x) is 1 and -1 respectively, when and x=270° respectively.The range of values of sin(x) is -1 to 1.Read more on the Sine function:
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write the expression
subtract 7 from the product 3 times f
Answer:
(3f)-7
Step-by-step explanation:
Find the slopes of the curve y^4=y^2-x^2 at the two points shown here.
The slope of the curve y⁴ = y² - x² is 1 and repeat the process for the second point.
Find the slopes of the curve y⁴ = y² - x² at the given points, we need to differentiate the equation implicitly with respect to x.
Differentiating both sides of the equation with respect to x, we get:
4y³ * (dy/dx) = 2y * (dy/dx) - 2x
Next, we can solve for (dy/dx) by isolating it on one side of the equation:
4y³ * (dy/dx) - 2y * (dy/dx) = -2x
(2y - 4y³) * (dy/dx) = -2x
(dy/dx) = -2x / (2y - 4y³)
Now, substitute the x and y values for each point into the equation to find the slopes at those points.
For example, if one point is (1, 1), we substitute x = 1 and y = 1 into the equation:
(dy/dx) = -2(1) / (2(1) - 4(1)³)
(dy/dx) = -2 / (2 - 4)
(dy/dx) = -2 / -2
(dy/dx) = 1
Repeat the process for the second point, and you will have the slopes of the curve at both points.
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The pH scale measures how acidic or basic a substance is. Lemon juice is said to have a pH of less than 4 and greater than 1.5. Model the normal range of pH values of lemon juice, using a compound inequality.
1.5 > x > 4
1.5 < x < 4
1.5 ≤ x ≤ 4
1.5 ≥ x ≥ 4
The normal range using a compound inequality is 1.5 < x < 4
How to model the normal range using a compound inequality.From the question, we have the following parameters that can be used in our computation:
pH values less than 4
pH values greater than 1.5
Represent the pH values with x
Using the above as a guide, we have the following:
x is less than 4
x is greater than 1.5
When represented as inequality, we have
x < 4 and x > 1.5
Combine the inequalities
1.5 < x < 4
Hence, the normal range is 1.5 < x < 4
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Write the equation of a line given its slope,m=6 and its y-intercept, b=-5
Answer:
Y = 6X-5
Step-by-step explanation:
substitute the value of slope and Y intercept in the standard equation Y = MX + B
where M is the slope and b is the y-intercept
A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 5 milliliters of compound
B. If a chemist wants to make 728 milliliters of the drug, how many milliliters of compound A are needed?
? milliliters of compound A
In order to create 728 millilitres of the medication, 273 millilitres of component A are required.
What do you mean by compound?A compound in chemistry is a material comprised of two or more separate chemical elements mixed together in a certain proportion. Chemical connections that are challenging to break are created when the elements interact with one another.
Compound A:Compound B ratio in the medication is 3:5. In other words, there are 3 millilitres of compound A and 5 millilitres of compound B for every 3+5=8 millilitres of the medicine.
We may set up a percentage using the ratio of compound A to the total volume of the medicine to determine how much compound A is required to make 728 millilitres of the drug:
3 ml x 3 ml x 3 ml
-------- = ----------
728 ml total, 8 ml overall
If we cross-multiply, we obtain:
8(x) = 3(728)
To find x, we use the formula x = 3(728)/8 = 273
In order to create 728 millilitres of the medication, 273 millilitres of component A are required.
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273 milliliters of compound A are needed to make 728 milliliters of the drug.
What are proportions?
In mathematics, a proportion is a statement that two ratios are equal. It expresses the relationship between two or more quantities that are directly proportional to each other. A proportion can be represented as an equation of the form:
a/b = c/d
To determine the amount of compound A needed to make 728 milliliters of the drug, we need to use the given ratio of 3 milliliters of compound A to 5 milliliters of compound B.
Let's start by finding the ratio of compound A to the total amount of ingredients (A+B) in the drug:
3 : (3+5) or 3:8
This means that for every 8 milliliters of the drug, 3 milliliters of compound A are used.
To find out how many milliliters of compound A are needed for 728 milliliters of the drug, we can set up a proportion:
3/8 = x/728
where x represents the amount of compound A needed.
To solve for x, we can cross-multiply:
8x = 3*728
8x = 2184
x = 273
Therefore, 273 milliliters of compound A are needed to make 728 milliliters of the drug.
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The factored form of 30.8n+8.4 is a(11n+3) . What is the value of a?
After answering the presented question, we can conclude that This is equation true for all values of a and (11n+3), so we can conclude that the value of "a" is simply 30.8 divided by (11n+3): a = 30.8/(11n+3)
What is equation?An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.
We are given that the factored form of 30.8n+8.4 is a(11n+3).
To find the value of a, we can expand the product a(11n+3) and equate it to the given expression 30.8n+8.4.
Expanding a(11n+3), we get:
a(11n+3) = 11an + 3a
Equating this to 30.8n+8.4, we have:
11an + 3a = 30.8n + 8.4
We can factor out an "a" from the left-hand side:
a(11n + 3) = 30.8n + 8.4
Now we can see that this is the same as the given factored form, so we can equate the two expressions:
a(11n + 3) = a(11n + 3)
This is true for all values of a and (11n+3), so we can conclude that the value of "a" is simply 30.8 divided by (11n+3):
a = 30.8/(11n+3)
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Find the equation of the line passing through the pair points (-8,6) (-9,-9). The equation of the line in the form is Ax+By=C.
Answer:
15x - y = - 126
Step-by-step explanation:
will make it simple and short
first we need to find the slope (m) first in order to get the equation
given: (-8,6) (-9,-9)
y2 - y1 -9 - 6
Slope = m = ----------- = ------------------ = 15
-x2 - x1 -9 - (-8)
so the equation of the line using point (-8,6) and slope 15 is y - 6 = 15( x + 8)
y - 6 = 15x + 120
using the form equation Ax + By = C, 15x - y = -120-6
therefore... 15x - y = - 126 is the answer
Ann has some dimes and quarters. If she has 11 coins worth a total of $2.00, how many of each type of coin does she have?
Answer:
5.5 maybe i guess its fun
Simplify.
14.8 + 6.25 + 0.97
Answer:
22.02
Step-by-step explanation:
Please help :)
Solve 3(m-4)=33
Thanks so much :)
Answer:
3(m-4)=33
3m-12=33
3m=45
m=15
Check:
3(15-4)=33
3(11)=33
33=33
Hope This Helps!!!
Answer:
m = 15
Step-by-step explanation:
3 ( m - 4 ) = 33
Solve for m
3 ( m - 4 ) = 33
Divide both side by 3
\(\small \sf \frac{3(m-4)}{3} = \frac{33}{3} \\ \)
m - 4 = 11
Add 4 to both side
m - 4 + 4 = 11 + 4
m = 15
does the point (0,-4) lie on the line
Answer: Yes.
Step-by-step explanation: Because if it is 0 on the x axis then no matter what the Y number is it will be on the line.
The table represents a linear relationship
X—2 0 4
Y-4 3 1
Which equation represents the table
Y=1/2x+5
y=-1/2x+3
Y=2x-3
Y=-4x+2
The linear relationship illustrated in the provided table can be effectively described by the equation Y = -4x + 2. Option D.
To determine the equation that represents the given table with the values of x and y, we can observe the pattern and find the equation of the line that fits these points.
Given the table:
X: 2 0 4
Y: -4 3 1
We can plot these points on a graph and see that they form a straight line.
Plotting the points (2, -4), (0, 3), and (4, 1), we can see that they lie on a line that has a negative slope.
Based on the given options, we can now evaluate each equation to see which one represents the line:
Y = 1/2x + 5
When we substitute the x-values from the table into this equation, we get the following corresponding y-values: -3, 5, and 6. These values do not match the given table, so this equation does not represent the table.
Y = -1/2x + 3
When we substitute the x-values from the table into this equation, we get the corresponding y-values: 4, 3, and 2. These values also do not match the given table, so this equation does not represent the table.
Y = 2x - 3
When we substitute the x-values from the table into this equation, we get the corresponding y-values: -4, -3, and 5. These values do not match the given table, so this equation does not represent the table.
Y = -4x + 2
When we substitute the x-values from the table into this equation, we get the corresponding y-values: -6, 2, and -14. Interestingly, these values match the y-values in the given table. Therefore, the equation Y = -4x + 2 represents the table.
In conclusion, the equation Y = -4x + 2 represents the linear relationship described by the given table. So Option D is correct.
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Suppose $72 was budgeted for day trips. What would be the total amount budgeted for entertainment?
Using proportions, it is found that the total amount budgeted for entertainment is of $720.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Researching the problem on the internet, it is found that the day trip amount is 10% of the budget for entertainment, hence:
0.1x = 72
x = 72/0.1
x = 720.
Hence the total amount budgeted for entertainment is of $720.
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What were the rental rates?
answer/explanation:
d = daily rental chargem = the charge per mileJon rented a car from a company that charged a daily rental fee and a mileage charge. He rented the car for 6 days and drove 300 miles and was charged $285.6d + 300m = 285His friend Amanda later rented the same car for 7 days and drove 260 miles and was charged $310.7d + 260m = 310by solving the system of equations6d + 300m = 2857d + 260m = 310we findd = $35m = $0.25the daily rental charge is $35.the company charge per mile is $0.25.hope this helps
A drum used for percussion has sides modeled by a hyperbola. The total height of the drum is 35 inches. The diameter at the top of the drum is 16 inches, and the minimum diameter is 8 inches, occurring at a height of 22 inches. Determine the equation of a hyperbola that models the sides of the drum assuming that the center of the hyperbola occurs at the height where the diameter is the least.
look at the screen shot ya know
The equation of a hyperbola that models the sides of the drum assuming that the center of the hyperbola is (35 + a)²/a² - 8²/b² = 1 and (22+ a)²/a² - 4²/b² = 1
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that the total height of the drum is 35 inches.
The diameter at the top of the drum = is 16 inches, and
The minimum diameter is 8 inches, occurring at a height of 22 inches.
The equation of the hyperbola be denoted as;
x²/a² - y²/b² = 1
From the question, with x and y coordinates representing height and radius respectively,
Then,
When x = 35 + a, y is = 16/2 = 8 and
At x = 22+ a, y is = 8/2 = 4
Thus,
(35 + a)²/a² - 8²/b² = 1
(22+ a)²/a² - 4²/b² = 1
By solving, we have, a = 128.95 and b = 14.75
Therefore a= 128.95 and b = 14.75
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what is an equivalent ratio to 9:1
Answer:
Equivalent ratio of 9:1 is 18:2.
Mark me as the brainlist
Answer:
18:2 is equivalent
pretty sure
About 3% of the population has a particular genetic mutation. 600 people are randomly selected.
Find the mean for the number of people with the genetic mutation in such groups of 600.
The mean for the number of people with the genetic mutation in such groups of 600 is 18.
Given that,
About 3% of the population has a particular genetic mutation.
This means that for any group of people, 3% of the people has a particular genetic mutation.
This is a binomial distribution.
Probability that people having genetic mutation = 3% = 0.03
Random sample size = 600
Mean for a binomial distribution can be calculated as,
Mean = n × p
= 600 × 0.03
= 18
Hence the mean number of people having genetic mutation is 18.
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additive inverse
multiplicative inverse
0.8
Do you mean 0.8 = 8/10 = 80%? Ohhh... then it's 1.25!
Hope this helps!
Answer:
1.25
Step-by-step explanation:
1/0.8 = 1.25
If its not right im sorryyy
Pls answer and show me how you got that answer
The mass of the radioactive sample at the beginning of the 13th day of the experiment will be around 424.7 grams.
What does one gramme represent?A metric weight measurement unit. A gramme is one thousandth of a kilogramme, or about 30 times smaller than an ounce. Leave a space between the word "gramme" (or the symbol "g") and the number that comes before it when a specific number is provided. In technical and scientific writing, the unit name and the number are either written together in full (for example, ten grammes) or a numeral is used with the sign ( e.g. 10 g ).
When we find the mass of radioactive, we obtain:
m₀=initial mass=1500 grams, r = 13% and n =12 days
⇒m = m₀ x \((1 - \frac{r}{100} )^{n}\)
⇒m =1500×\((1-\frac{13}{100}) ^{12}\)
⇒m=424.7 grams.
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Find the values of the trigonometric functions of from the information given.
tan() = −5, sin() > 0
sin =
cos() =
csc() =
sec() =
cot() =
Why are you cheating... I will report this to your teacher
The expression 5x^2 + 25x + 70 can be used to estimate the height, in
meters, of a toy rocket x seconds after it is launched from a platform.
How many seconds does it take the rocket to hit the ground?
Answer:
Hence x is 7 seconds
Step-by-step explanation:
hope this helps
8. The first three terms of a geometric sequence are ( x-6), 3x, and y. If the common ratio is 6, then the value of y is.
Answer:
The value of y is 216
(and the value of x is 12)
Step-by-step explanation:
The general formula for a geometric sequence is,
\(a_n = a_1(r)^{n-1}\)
Where n represents the nth term, a_1 is the first term and r is the common ratio,
we see that,
r = 6,
the first term is,
a_1 = (x-6)
the 2nd term is,
a_2 = 3x,
the 3rd term is,
a_3 = y, finding y,
first we find x, using the above given formula we have,
\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)
x = 12,
Now, for y we can use the relation between a_3 and a_2,
\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)
y = 216