Answer:
if you divide 10 by 8 it should be 10/8 so a
Hope This Helps!!!
Answer: A
Step-by-step explanation: Step 3 is incorrect as it should be 10/8 (or 5/4 simplified.) When we have 8x = 10, we are looking at what number "x" multiplied by 8 gives 10. Meaning we need to have 8(?) = 10. So, to find out what x is, we just divide by 8 from both sides. Since 8x/8 cancels out and becomes just x, we get x = 10/8 since we are dividing 10 by 8. We get 5/4 simplified or 10/8 unsimplified.
Please mark my answer as brainliest if it was helpful!
Assume that m and n are particular integers. . Is (6m+8n) even? Why? . Is 10mn + 7 odd? Why? . If m > n > 0, is m^2 - n^2 composite? Why? b) Is 605.83 a rational number ? Justify your answer c) Prove the following statement directly from the definition of the terms. Do not use any other facts previously proved in class or in the text or in the exercises. For all integers a, b , and c, if a|b and a|c, then a|(5b+3c).
The m and n are particular integers where (6m+8n) is even, 10mn + 7 is odd, m^2 - n^2 is composite if m > n > 0, 605.83 is not a rational number, and if a|b and a|c, then a|(5b+3c) for all integers a, b.
Yes, (6m+8n) is even. We can factor out 2 from each term:
6m + 8n = 2(3m + 4n)
Since 3m + 4n is an integer, the expression 2(3m + 4n) is even.
Yes, 10mn + 7 is odd. To see why, note that an even number times any integer is even. Therefore, 10mn is even. Adding an odd number (7) to an even number gives an odd number.
Yes, m^2 - n^2 is composite. We can factor it as follows:
m^2 - n^2 = (m + n)(m - n)
Since m > n > 0, both factors on the right-hand side are integers greater than 1. Therefore, m^2 - n^2 is a product of two integers greater than 1 and is thus composite.
No, 605.83 is not a rational number. A rational number can be expressed as a ratio of two integers. However, 605.83 cannot be expressed as a ratio of two integers because it has a decimal part. Therefore, it is an irrational number.
For all integers a, b, and c, if a|b and a|c, then a|(5b+3c).
Let a, b, and c be integers such that a|b and a|c. Then there exist integers k and l such that b = ak and c = al.
Now consider the expression 5b + 3c:
5b + 3c = 5ak + 3al
Factoring out a, we get:
5b + 3c = a(5k + 3l)
Since 5k + 3l is an integer, we can write 5b + 3c as a times an integer, which means that a| (5b + 3c). Therefore, we have shown that if a|b and a|c, then a|(5b+3c) for all integers a, b, and c.
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PLEASE HELP 100 POINTS, ASAP!
Answer:
25/8(x-6) + 7/8(x+2)
Step-by-step explanation:
Answer:
25/8(x-6) + 7/8(x+2)
Step-by-step explanation:
1+1
This is pretty easy I know
Answer: 2
Step-by-step explanation: i dont even need to explain
Answer:
2
Step-by-step explanation:
one apple plus one apple gives you two apples :)
#2 Dr. Mandel purchased a used car for $11,325. Her state charges 8% tax for the car, $53 for license
plates, and $40 for a state safety and emissions inspection. How much does she need to pay for
these extra charges, not including the price of the car?
Your query has an answer of Extras charges = $999.
What does math's % mean?
In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).
What is the formula's percentage?
By dividing the value by the entire value and multiplying the result by 100, one may determine the percentage. The percentage calculation formula is (value/total value)100%.
Detailed explanation:
Data
Total cost: $11.325
8% state tax
$53 for license plates
$40 for an emissions inspection.
Process
1.- Determine the 8% of the car's cost.
11325 ———————— 100%
x ———————- 8%
x = (8 x 11325)/100
x = 90600/100
x = $1,066.16 in state taxes
2. Determine the entire cost.
Charges total $906 plus $53 plus $40.
= $ 999
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You are dealt a hand of three cards, one at a time. Find the probability of each of the following. a) The first diamond you get is the third card dealt. b) Your cards are all spades. c) You get no aces. d) You have at least one red card.
Previous question
a) The probability of the first diamond being the third card dealt is 1/4.
b) The probability of having all spades in the hand is 1/64.
c) The probability of not getting any aces is 48/64.
d) The probability of having at least one red card is 1 - (probability of having no red cards), which is 1 - 1/4 = 3/4.
a) In a standard deck of 52 cards, there are 13 diamonds. Since the first diamond must be the third card dealt, there are 51 remaining cards after the first two cards are dealt. Out of these 51 cards, 12 are diamonds. Therefore, the probability is 12/51, which simplifies to 1/4.
b) There are 13 spades in a deck, so the probability of getting a spade on the first card is 13/52. For the second card, the probability is 12/51, and for the third card, it is 11/50. Since these events are independent, we multiply the probabilities together: (13/52) * (12/51) * (11/50) = 1/64.
c) There are 4 aces in a deck, so the probability of not getting an ace on the first card is 48/52. Similarly, for the second card, it is 47/51, and for the third card, it is 46/50. Multiplying these probabilities gives (48/52) * (47/51) * (46/50) = 48/64.
d) To find the probability of having at least one red card, we can calculate the probability of having no red cards and subtract it from 1. The probability of not getting a red card on the first card is 26/52, and similarly, for the second and third cards, it is (25/51) * (24/50). The probability of having no red cards is (26/52) * (25/51) * (24/50) = 1/4. Therefore, the probability of having at least one red card is 1 - 1/4 = 3/4.
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An artist is going to cut four similar right triangles from a rectangular piece of paper like the one shown to the right. What is BE to the nearest tenth when AC=13
The measurement of altitude BE is 4 unit.
What is an altitude?As the average level of the sea's surface, sea level is used to measure altitude. A high altitude is defined as being significantly higher than sea level, such as Mount Everest. It is referred to as having a low altitude when something is closer to the ground, like a plane coming in to land.
As ABCD is rectangle
AD = BC = 12
ΔABC = ΔBCD
BE = FD
5² = 3²+BE²
AE = 3
BE = √(5²-3²)
BE = 4
Thus, The measurement of altitude BE is 4 unit.
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why is paying back along with a nominal interest rate of 13.62% if the interest is compounded quarterly, how much greater is white effective interest rate than his nominal interest rate
The required white effective interest rate is 0.71% more than his nominal interest rate.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
Here,
White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent
So
Difference in interest = 14.33%-13.62%
=0.71%
Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.
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Find a parametrization of the tangent line at the point indicated. r(t) = cos(6t), sin(3t) , t = 4
The given statement states that the parametrization of both the tangent line there at designated position is 7x - 4y = 3.
What is parametrization?Finding parametric equations of a curve, a surface, or, more generally, a manifold or a variety, specified by an implicit equation, is the process of parametrization (or parameterization; see parameterization, parametrization). Implicitization is the term for the opposite process. The parametrization consists of one function of multiple real variables for each coordinate since the state of the system is typically controlled by a finite set of coordinates. The system's degree of freedom is equal to the number of parameters.
According to the given data:r(t) = cos(6t), sin(3t) , t = 4
= -6sin6t, 3cosjt , 1
The parameter of Tangent live is
L(t) = γ(t₀) + tr'(t₀)
therefore
γ(t₀) = γ(ππ₄)
= (0 , 1/√2 , π/4)γ (+0) = γ(π/4)
= ( 6, -3/√2 , 1)
putting in the formula we get:
L(t) = γ(t₀) + tr'(t₀)
L(t) = (0 , 1/√2 , π/4) + t( 6, -3/√2 , 1)
= \(\left(6 t-\frac{1}{\sqrt{2}}-\frac{3}{\sqrt{2}} t, \frac{\pi}{4}+t\right)$$\)
= 2.
Given
f(x, y ) = in(7x² - 4y²)
at the point(1, 1)
Δ f (m, y) = (fn , f4)
= \(\frac{14 x}{7 n^2-4 y^2}, \frac{-8 y}{7 x^2-4 y^2}\\\\\)
Δ f (1, 1)
= \(\left\langle\frac{14}{3}, \frac{-8}{3}\right\rangle\)
= (a ,b)
The equation of the tangent plane is
a(x - x₀) + 6dy - y₀ = 0
(14/3)(x - 1)- (8/3)(y -1 ) = 0
14x - 14 - 8y + 8 = 0
14x - 8y = 6
7x - 4y = 3
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Find the slope of the line that passes through the points A(-3, 1) and B(2, -5).
Answer:
\(m = \frac{ - 5 - 1}{2 - ( - 3)} = - \frac{6}{5} \)
Which is the solution for the system of linear equations below?
y= -1/3x + 3
y = -x + 1
Answer:
x= −3 and y= 4
not sure if this is what your looking for tho
Step-by-step explanation:
which of the following techniques is used in predictive analytics? a. optimization models b. data visualization c. data dashboards d. linear regression
Option d is correct that is linear regression. So, linear regression is used in predictive analytics.
Given that,
We have to find which of the following techniques is used in predictive analytics.
We know that,
What is predictive analytics?Predictive analytics, a subset of advanced analytics, employs historical data, statistical modeling, data mining, and machine learning to forecast future outcomes. Businesses utilize predictive analytics to find opportunities and threats by analyzing trends in this data.
We get,
The predictive analysis technique that is most frequently used is linear regression. By using linear relationships between a dependent variable and one or more independent variables, it makes predictions about the target's future.
Therefore, Option d is correct that is linear regression. So, linear regression is used in predictive analytics.
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If the triangle equals 12cm in perimeter, what's the equation for the triangle with 5cm,3cm, and a missing number labeled as P
Solve the system of equations by the substitution method.
x+11y=51 3x+5y=13
Answer:
(-4, 5)
Step-by-step explanation:
Hi there!
We are given the following system:
x+11y=51
3x+5y=13
And we want to solve it by substitution.
When we solve a system by substitution, we want to solve one of the equations for a variable; the variable should equal an expression containing the other variable. Then, we substitute that expression into the other equation as the variable we solve for, solve for that variable, and then use the value of the solve variable to find the value of the first variable
It's easier to solve for a variable if the leading coefficient in front of that variable is 1, like with x in the first equation (x+11y=51)
To solve this equation for x, we can subtract 11y from both sides.
x+11y=51
-11y -11y
_____________
x=51-11y
Now substitute 51-11y as x in 3x+5y=13:
3(51-11y)+5y=13
Multiply
153-33y+5y=13
Combine like terms.
153-28y=13
Subtract 153 from both sides
-28y=-140
Divide both sides by 28
y=5
Now substitute 5 as y in 51-11y to solve for x.
x=51-11y
x=51-11(5)
multiply
x=51-55
Subtract
x=-4
The answer is x=-4, y=5, or as a point, (-4, 5)
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PLEASE ANSWER ASAP!! THIS IS DUE RLLY SOON :)
Favorite days of the week Monday 55% Tuesday 45% 4) If 220 people were surveyed, how many more people voted for Monday than for Tuesday?
Answer: 22
Step-by-step explanation:
Ok, so the way I do it I multiply then divide.
For Monday I did: ?/220=55/100. what you would do is multiply across then divide by the other number, so 220x55 which is 12100 then you will divide it by 100. So 121 people voted on Monday
For Tuesday: Using the same method. ?/220=45/100 you will multiply 45x220 giving you 9900 then you will divide by 100 giving you 99. 99 people voted on Tuesday.
So to find the DIFFERENCE you need to subtract, so 121-99 leaving you with 22. Also, if you are confused how on where I got 100 from you put the percentage over 100, because percentages go from 0%-100% so you put the partial percentage over the maximum (100)
Use the linear combination method to solve the system of equations. –2.1x + 4y = 5.3 2.1x – 5.5y = –0.2 What is the solution to the system? ( , )
Answer: (-9, -3.4)
x = -9
y = -3.4
Step-by-step explanation:
-2.1x+4y=5.3
2.1x-5.5y=-0.2
0-1.5y=5.1
-1.5y=5.1
y=-3.4
Then plug in -3.4 for y in the first equation to get x = -9
Hope it helps <3
Answer:
(-9, -3.4)
Step-by-step explanation:
-2.1x + 4y =5.3
2.1x - 5.5y = -0.2
Add both equations (cancelling x variable).
0 + -1.5y = 5.1
Solve for y.
-1.5y = 5.1
(-1.5y)/-1.5 = 5.1/-1.5
y = -3.4
Plug y as -3.4 in the first equation.
-2.1x + 4(-3.4) = 5.3
Solve for x.
-2.1x + -13.6 = 5.3
-2.1x - 13.6 + 13.6 = 5.3 + 13.6
-2.1x = 18.9
(-2.1x)/-2.1 = 18.9/-2.1
x = -9
Oliver is working this summer. His job pays $7.25 per hour. He will be working
15 hours per week and he'll be working for 14 weeks. How much money will
he make before any deductions are made from his pay?
Answer:
$1522.5
Step-by-step explanation:
(7.25 x 15)14
(108.75)14
= 1522.5
what is the probability that it will land on the white?
round to the nearest tenth of a percent.
Considering the areas of the circle and of the triangle, there is a 61.2% probability that the selected point will land on the white.
What is the area of a circle?The area of a circle of radius r is given by:
\(A = \pi r^2\)
For this problem, the radius is of r = 4 cm, hence the area of the circle is:
A = 16π cm².
What is the area of a triangle?The area of a triangle is given by the half the multiplication of the base and the height.
For this problem, the base is of 6 cm, with a height of 4 + 2.5 = 6.5 cm, hence the area is:
A = 0.5 x 6 x 6.5 = 19.5 cm²
What is the white area and what is the probability?The white area is given by the area of the circle subtracted by the area of the triangle, hence:
A = 16π - 19.5.
The total area is the area of the circle, hence the probability is given by:
p = (16π - 19.5)/16π = 0.612.
61.2% probability that the selected point will land on the white.
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Graph the following Line:
6x+3y=6
Answer:
Visit geogebra.com
Step-by-step explanation:
none needed <3
Given points A(-1,4) and B(x,7), determine the value(s) of x if AB=5cm
The value of x is either 3 or -5 based on the distance formula.
What is a co-ordinate system?
In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.
Main body:
according to question
Given points A(-1,4) and B(x,7)
Also AB = 5 cm
Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)
here by using points ,
5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)
taking square on both side ,'
25 = \((x+1)^{2} +3^{2}\)
25-9 = (x+1)²
16 = (x+1)²
taking square root on both sides,
x+1= ±4
x = 4-1 = 3 or x = -4-1 = -5
Hence value of x is either 3 or -5.
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i need help with math
Answer:
I think it may be C? I used desmos to graph it but I'm not 100%
What is the decimal equivalent of
9
22
?
Andrew got hired at grub burger and earns $8.25 an hour. Which choice is correct for filling the amount of $ going down? Each line separated by a comma.
Answer:
The given table is
Hours. Earnings per hour.
0
4
8
12
Now, the unit rate is $8.25 per hour, according to the proble, this is the constant ratio of change, that means, we only need to multiply the number of hours with the unit rate.
\(0 \times 8.25=0\\4 \times 8.25= 33\\8 \times 8.25=66\\12 \times 8.25 = 99\)
Therefore, the complete table isHours. Earnings per hour.
0 0
4 33
8 66
12 99
Find the probability that the number of people who say auto racing is their favorite sport is more than 37.
The probability of the number of people who say auto racing is their favorite sport being more than 37 can be calculated using statistical methods.
This would require information on the total number of people surveyed, the number of people who said auto racing is their favorite sport, and other relevant data.
Depending on the specific scenario, the probability could be estimated or calculated exactly.
However, without this information, it is not possible to provide a specific answer to the question.
Therefore, it is important to have all relevant information and data before calculating probabilities or making any conclusions about the likelihood of an event occurring.
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QUESTION 45
What is the value of x?
3x
Answer:
1/67
Step-by-step explanation:
Complete question
If X+2/3x is equal to 45. find the value of x
Given the equation
x+2/3x = 45
Cross multiply
x+2 = 3x(45)
x+2 = 135x
x - 135x = -2
-134x = -2
x = 2/134
x = 1/67
Hence the value of x is 1/67
You have a deck of 52 cards. What is the probability of getting a 4 or a 7?
Answer:
Step-by-step explanation:
There are four 4s and four 7s in a deck of 52 cards, so the probability of drawing a 4 or a 7 is:
P(4 or 7) = P(4) + P(7) = 4/52 + 4/52 = 8/52
Simplifying this fraction, we get:
P(4 or 7) = 2/13
Therefore, the probability of getting a 4 or a 7 from a deck of 52 cards is 2/13, or approximately 0.1538 or 15.38%.
The probability of getting a 4 or a 7 is 2/13.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given that,
You have a deck of 52 cards.
Number of cards which are 4 = 4
Number of cards which are 7 = 4
Number of cards which are either 4 or 7 = 4 + 4 = 8
Total number of cards = 52
Probability = 8/52 = 2/13
Hence the probability is 2/13.
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Multiply.
40.631⋅1.07
Responses
4.347517
43.47517
434.7517
4347.517
Answer: 43.47517
Step-by-step explanation:
Considering orders of magnitude, we see that Option 2 is the only reasonable answer.
Question 2.4. This shows that the percentage in a normal distribution that is at most 1.65 SDs above average is about 95%. Explain why 1.65 is the right number of SDs to use when constructing a 90% confidence interval. (6 Points)
Answer:
1.65 is the right number of SDs to use when constructing a 90% confidence interval because it corresponds to the upper 5th percentile of a normal distribution, which gives a 5% chance of the true population parameter being outside the interval.
PLEASE BE QUICK
What are the coordinates of Triangle MNO with vertices M(0,4), N(2,8), and O
(6,5) after it has been translated (x,y) = (x+2, y-6)?
M':
N':
O':
The coordinates for each point would be:
M': (2,-2)
N': (4, 2)
O': (8, -1)
If the rule is (x, y) = (x + 2, y - 6), this is how you solve this problem...
M to M': (0 + 2, 4 - 6), then (2, -2)
N to N': (2 + 2, 8 - 6), then (4, 2)
O to O': (6 = 2, 5 - 6), then (8, -1)
A cleric must number the pages of a manuscript from 1 to 100. How many times will he inscribe the figure 9?
Answer:20 times
Step-by-step explanation: