Answer:
Step-by-step explanation:
Comment
For this particular problem, the 10^6 will not be affected. All you have to do is divide 9.45 by 2. When you do that, you get
9.45/2 = 4.725
Now add on the 10^6
The answer is 4.725 * 10^6
Personally, I would likely round this to 4.73 because you were given 3 digits of accuracy, so you should give your answer as 3 digits.
Lakisha has a -56 balance on her credit card. She makes two additional charges to pay $32 for gas and $15 for parking. Then she makes a credit
card payment of $50. What is her remaining balance?
odeling with Mathematics
angle.
4
S
In Exercises 9-12, find the angle measure. Then classify
the angle. (See Example 2.)
9. mZAOC
11. m/COD
40 50 60 70 80 90 100 110 120 130
140 130 120 110 100 90 80 70 60 50
10 20
10 170 160 150 1
A
C
D
E
30 20 10
150 160 170 180
B
성향
10. m/BOD
12. mZEOD
Answer: Give me 11 min
Step-by-step explanation:
Write the equation of the line in slope-intercept form that passes through the points (5,3) and (1,−5).
Answer:
y = −2x + 8
Step-by-step explanation:
y = −2x + 8, the answer is this because, in order to find the slope, you must use the formula y2-y1/x2-x1, and the y-intercept is found by using the formula y=mx+b, in which b is the y-intercept which leads to the awnser, y = −2x + 8.
Hi! Your answer is y = −2x + 8
Step-by-step explanation:
In order to find the slope, you have to use y2-y1/x2-x1 for the formula. The y-intercept can be found by using the formula y=mx+b. This means b is the y-intercept which makes the answer: y = −2x + 8.
Hope this helps! Have a good day :)
HELP ASAP
BX bisects
Answer: 124 degrees ==> Option 3
Step-by-step explanation:
ABC=ABX+XBC
ABX=XBC ==> bisected angles are equal since when an angle is bisected, it is divided into two equal angles. Hence:
ABC=XBC*2
ABC=62*2
ABC=124 degrees ==> Option 3
Solve please? I'm struggling haha
Answer:
Hello,
Answer d
Step-by-step explanation:
Since x=y then 3v-1=2v+6 ==> v=7
Answer d
given the following list of tips (in dollars) earned in the last hour by waiters in a japanese restaurant, find the median. 30,17,47,47,26,17,36,31,21,17
The median of the data set given for the tips (in dollars) earned in the last hour by waiters in a Japanese restaurant is determined as: 28.
What is the Median of a Data?]The median of any given data set is the data value that lies at the center of the data set when ordered.
Given the data set, 30,17,47,47,26,17,36,31,21,17, order the data set from the least to the greatest:
17, 17, 17, 21, 26, 30, 31, 36, 47, 47
The center or middle of the data set is 28.
Thus, the median of the data set given for the tips (in dollars) earned in the last hour by waiters in a Japanese restaurant is determined as: 28.
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What is the value of n? 9.6x10^9=(2x10^5)(4.8x10^n)
[tex]9.6\times 10^9~~ = ~~(2\times 10^5)(4.8\times 10^n)\implies \cfrac{9.6\times 10^9}{2\times 10^5}~~ = ~~4.8\times 10^n \\\\\\ \cfrac{9.6}{2}\times \cfrac{10^9}{10^5}~~ = ~~4.8\times 10^n\implies 4.8\times 10^{9-5}~~ = ~~4.8\times 10^n \\\\\\ 4.8\times 10^4~~ = ~~4.8\times 10^n\implies \cfrac{4.8\times 10^4}{4.8}=10^n\implies \cfrac{4.8}{4.8}\times 10^4=10^n \\\\\\ 1\times 10^4=10^n\implies 10^4=10^n\implies 4 = n[/tex]
[tex]x {}^{2} + 2x + 6 = 0[/tex]
please give me answer.....
Answer:
[tex]\sf x = -1 + \sqrt{5}\:i,\: -1 - \sqrt{5}\:i[/tex]
Explanation:
[tex]\sf \rightarrow x^2 + 2x +6 = 0[/tex]
[tex]\sf use\:quadratic\:formula: x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \quad when \: \: ax^2 + bx + c = 0[/tex]
comparing identify:
a = 1, b = 2, c = 6Substitute inside the formula:
[tex]\rightarrow \sf x = \dfrac{ -2 \pm \sqrt{2^2 - 4(1)(6)}}{2(1)}[/tex]
evaluate:
[tex]\rightarrow \sf x = \dfrac{ -2 \pm \sqrt{4 - 24}}{2}[/tex]
[tex]\rightarrow \sf x = \dfrac{ -2 \pm \sqrt{- 20}}{2}[/tex]
[tex]\rightarrow \sf x = \dfrac{ -2 \pm 2\sqrt{5}\:i}{2}[/tex]
[tex]\rightarrow \sf x =-1 \pm \sqrt{5}\:i[/tex]
[tex]\rightarrow \sf x = -1 + \sqrt{5}\:i,\: -1 - \sqrt{5}\:i[/tex]
find point G on AB such that the ratio of AG to GB is 3:2
The point G on AB such that the ratio of AG to GB is 3:2 is; G(4.2, 2)
How to partition a Line segment?
The formula to partition a line segment in the ratio a:b is;
(x, y) = [(bx1 + ax2)/(a + b)], [(by1 + ay2)/(a + b)]
We want to find point G on AB such that the ratio of AG to GB is 3:2.
From the graph, the coordinates of the points A and B are;
A(3, 5) and B(5, 0)
Thus, coordinates of point G that divides the line AB in the ratio of 3:2 is;
G(x, y) = [(2 * 3 + 3 * 5)/(2 + 3)], [(2 * 5 + 3 * 0)/(2 + 3)]
G(x, y) = (21/5, 10/5)
G(x, y) = (4.2, 2)
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Pls help, Idc if you answer 1 I have j and k done already It is just the rest.
Answer:
L: (4,0) and L': (2,0)
Step-by-step explanation:
Answer:
Step-by-step explanation:
I messed up on P'
I drew it as -3,3 but it should be -3,2
Which is what i wrote it as
what is the formula of a²-b²
Answer:
a^2-b^2=(a + b) (a - b) is the formula
find the intrest for Rs. 10,000 for 2 ½ yrs at 5% per annum compounded annually.
Answer:
Interest = Rs. 1297.26
Step-by-step explanation:
To calculate the final amount, we can use the following formula:
[tex]\boxed{A = P(1 + \frac{r}{100})^n}[/tex],
where:
A = final amount
P = principal (initial) amount
r = rate
n = time in years,
and then we can subtract the initial amount from the final amount to find the interest.
We have been told in the question that the principal, P = Rs. 10,000; and the time is [tex]2\frac{1}{2}[/tex] years, therefore n = 2.5. The rate is 5%, therefore r = 5.
Using this information, and the formula above, we can calculate the final amount:
[tex]A = 10000(1 + \frac{5}{100})^{2.5}[/tex]
⇒ [tex]A = 10000(1.05)^{2.5}[/tex]
⇒ [tex]A = \bf 11297.26[/tex]
Now that we know what the final amount was, we can calculate the interest by subtracting the initial amount from it:
Interest = 11297.26 - 10000
= 1297.26
Therefore the interest was Rs. 1297.26.
juan rolls a fair regular octahedral die marked with the numbers $1$ through $8$. then amal rolls a fair six-sided die. what is the probability that the product of the two rolls is a multiple of $3$?
The probability that the product of the two rolls is a multiple of 3 is 1/2.
Probability:
Probability mean the fraction of the possibility of the required event.
The formula for the probability is
P(E) = n(E)/n(S)
Where
P(E) = Probability of the event
n(E) = number of required event
n(S) = Total number of event
Given,
Juan rolls a fair regular octahedral die marked with the numbers 1 through 8.
Then Amal rolls a fair six-sided die.
Here we need to find the probability that the product of the two rolls is a multiple of 3.
We know that,
On both dice, only the faces with the numbers 3,6 are divisible by 3.
Let
P(a) = 2/8
P(a) = 1/4
it is the probability that Juan rolls a 3 or a 6,
and Similarly,
P(b) = 2/6
P(b) = 1/3
Is the probability of Amal does.
By the Principle of Inclusion-Exclusion,
[tex]\[P(a \cup b) = P(a) + P(b) - P(a \cap b) = \frac{1}{4} + \frac{1}{3} - \frac{1}{4} \cdot \frac{1}{3} = \frac{1}{2} \Rightarrow \mathrm{(C)}\][/tex]
Thus the total probability is 1/2.
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Whats the answer to this question?
Answer:
option A
Step-by-step explanation:
pls solve this question step by step solution.
Answer:
42, 12)
Step-by-step explanation:
Let the present ages of the father and son be x years and y years respectively.
According to the question,
Condition I,
Three years ago the sum of the ages of the father and his son was 48 years.
or,(x−3)+(y−3)=48
or,x−3+y−3=48
or,x−6=48−y
or,x=54−y - (i)
Condition II,
Three years hence the father's age will be three times the son's age,
or,(x+3)=3(y+3)
or,x+3=3y+9 - (ii)
Put value of x from equation (i) in equation (ii), we get,
or,(54−y)+3=3y+9
or,54−y=3y+9−3
or,54−6=3y+y
or,48=4y
or,y=484
∴y=12
Put the value of y in equation (i), we get,
or,x=54−12
∴x=42
So, (x,y) = (42, 12)
Therefore, the required present ages of the father and the son are 42 years and 12 years respectively.
Please answer the question in the photo [ Brainliest + points ]
Answer:
26 i believe 66 - 40 = 26 hope this helps
how can you apply the Laws of Exponents to evaluate expressions that include integer exponents?
Exponent rules are those laws that are applied to exponent-based expressions to make them simpler. The principles of exponents make it simple and rapid to execute numerous arithmetic operations like addition, subtraction, multiplication, and division. These guidelines are also useful for reducing the complexity of numbers that have complex powers incorporating fractions, decimals, and roots.
Exponent rules, commonly referred to as the "laws of exponents" or "properties of exponents," facilitate the task of simplifying exponent-based statements. These guidelines are useful for reducing the complexity of expressions whose exponents are decimals, fractions, irrational numbers, or negative integers.
When an exponent is a negative number, we apply the negative law of exponents. This rule states, "The reciprocal should be taken to convert any negative exponent into a positive exponent." The change in sign of the exponent values moves the expression from the numerator to the denominator.
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Haley has a monthly fee of $20
The domain and range of the function C(m) the equation for is mathematically given as
Dc=[0,\infty)
This is further explained below.
What are the domain and range of the function C(m)?Generally, The domain and the range of a function are as follows: The values that are assumed by an input are referred to as a function's domain, while the numbers that are assumed by the outputs are referred to as the function's range.
In this question:
C(m)=0.05m+20
The input, denoted by the letter m, is the number of phone calls, and this value might be anything between 0 to an unlimited amount. So
The domain is Dc=[0,\infty)
The value of C(0) is equal to 20 when the input m is set to 0. As m grows, so does C (m). What this indicates is that:
The range is: Rc=[20,\infty)
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CQ
Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The total cost of Haley’s monthly cell phone bill can be expressed by the function C(m) = 0.05m + 20, where m is the number of minutes used. What are the domain and range of the function C(m)?
Please help me asap!!!!
Answer:
Option 1
Step-by-step explanation:
Perpendicular lines form right angles
Eliminate Options 3 and 4.Parallel lines never intersect.
Eliminate Option 2.¿Cuál de las siguientes expresiones es equivalente a 6 x (4+5)
Answer:
es equivalente al es 54x
What is 6(4-z)=2z ?
Thanks for the help!
Answer:
z=3
Step-by-step explanation:
what are the two major advantages of experimental research over correlational studies? multiple select question. experiments are more efficient. causal relationships can be inferred. random assignment is possible. sample size is always greater in experiments.
The experimental research has two key advantages over correlational studies.
1. The possibility of random assignment
2. Causal connections can be assumed.
What benefit does experimental research have over correlational research?Correlational studies merely examine the data that already exists, whereas experimental studies give the researcher the opportunity to influence the study's factors. Researchers can make inferences about how changes in one variable affect changes in another through the use of experimental investigations.
The factors in a correlation study are out of the control of the researcher or research team. The researcher merely measures the information she discovers in the outside world. She can then determine whether changes in one are related to changes in the other, or if the two variables are correlated. In such a study, experimenters gather existing data and use statistical methods to examine it, such as economic statistics from governments. The findings of correlation studies can lead to hypotheses that can be verified through a more focused experimental one.
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is y=x+8 a inverse variation
It should be noted that y=x+8 is not an inverse variation.
What is an inverse relation?The relationships between variables that are expressed in the form of y = k/x, where x and y are two variables and k is a constant number, are known as inverse variations. According to this statement, if the value of one item rises, the value of the other quantity falls.
Ab example is when a constant of variation is k = xy = 5(2) = 10 if y changes inversely as x and x = 5 when y = 2. Consequently, xy = 10 is the equation that describes this inverse variation.
Therefore, it should be noted that y=x+8 is not an inverse variation.
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A model of an aircraft is 3/5 the length of the original plane. The model is 24.96 feet long. How long is the original plane?
If the model is 3/5th of original plane then the length of the original plane is 41.6 feet.
It is given in the question that the model of an aircraft is 3/5th the length of the original plane.
So, Let the length of the original plane be x feet.
According to the question
3/5th of x is 24.96
[tex]x\times\frac{3}{5} =24.96[/tex]
Multiplying both sides by 5
3x=24.96*5
3x=124.8
Dividing both sides by 3
x=124.8/3
x=41.6
Hence , the value of x is 41.6 feet.
Therefore , if the model is 3/5th of original plane then the length of the original plane is 41.6 feet.
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Solve for y.
1+ 2y = 11.08 +0.2y
Answer:
y=5.6
Step-by-step explanation:
1 + 2y = 11.08 +0.2y
Move the values w/ y all to one side and the ones without to the other side
1+ 2y = 11.08 + 0.2y
-0.2y - 0.2y
-1 -1
1.8y=10.08
Divide by 1.8
y=5.6
$. Compare the costs of Spa Treatment A ($210) to Spa Treatment B ($250) in both absolute
and relative terms.
(a) Absolute Difference = $40; Relative Difference = 16%
(b) Absolute Difference = $40; Relative Difference = 19%
(c) Absolute Difference = -$40; Relative Difference = -16%
The Absolute Difference and the Relative Difference is mathematically given as
Absolute Difference = $40;
Relative Difference = 19%. Option B
This is further explained below.
What is Relative Difference?Generally, Divide the difference in values by the value that was used initially, and you will get the relative difference between the two values: difference original value
Perform the conversion to get a percentage out of this amount. If there was a rise in value, we would say there was an increase of x %.
We state there was an x % decline in the value if there was a decrease in the value. x represents the number that was arrived at by us.
In conclusion, since we are comparing A from be we have
Absolute Difference = 250-210
Absolute Difference = $40;
and
Relative Difference = (Original-ref)/ref
Therefore
Relative Difference 250-210/210
Relative Difference=19%
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Mrs. Banks wants to make 44 qt of jelly with 70 lb of fruit. If each gallon of jelly needs 6
6
12
1
2
lb of fruit, will she have enough fruit? How much leftover fruit does she have, or how much more fruit is needed? Use the conversion factor 1 gallon4 quarts
1
gallon
4
quarts
Answer:
6
12
1
2
Step-by-step explanation:
In 1, is 4. Okay, this a good answer.
Kristin parked in a different parking garage that charges 5.75 per hour she was charges 34.50 for parking. how many hours did she park her car at the garage
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.
The number line that represents the solution set for the inequality 3(8 – 4x) < 6(x – 5) will be D. A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.
How to illustrate the information?It should be noted that a number line is used to illustrate the intervals between the numbers given.
Therefore, the number line that represents the solution set for the inequality 3(8 – 4x) < 6(x – 5) will be a number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right
In conclusion, the correct option is D.
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for a given non-zero vector v in r 3 there is a unique unit vector parallel to it. is it true or false? explain your answer.
The given statement is true that for a given non-zero vector v in r³ there is a unique unit vector parallel to it.
A vector is defined by its length and direction. If two vectors have the same direction, they are parallel. The length is irrelevant.If the length of a vector is one, it is a unit vector. The direction is irrelevant.So, in order to locate a unit vector parallel to another vector, it must point in the same direction and be of length 1.For a given non-zero vector, there are an infinite number of parallel vectors to it but with different magnitudes. There is only one vector which is not only parallel to the given non-zero vector but also has a magnitude of 1, i.e., the unit vector parallel to it.Thus, it is true that for a given non-zero vector v in r³ there is a unique unit vector parallel to it.To learn more about vectors, visit :
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