Answer:
30 miles
Step-by-step explanation:
Give three solutions to each inequality
(I will give brainliest)
Solution 1: 8<6+t ---The simplest solution to this inequality is to subtract 6 from both sides.
Solution 2: 36> s/4 ---The simplest solution to this inequality is to multiply both sides by 4.
What is inequality?Inequality expresses the relative size of two values. It is written in the form of an equation, such as x > y, where x and y are both numbers, variables, or algebraic expressions.
1. The simplest solution to this inequality is to subtract 6 from both sides. This yields the equation 8-6<t, which can be simplified to 2<t.
2. Another possible solution is to move the constant 6 to the right side of the inequality. This gives the equation 8<t+6, which can be simplified to 8<t.
3. A third solution is to divide both sides of the equation by the coefficient of the variable, which is 1. This yields 8/1<(6+t)/1, which can be simplified to 8<6+t.
Solution 2: 36> s/4
1. The simplest solution to this inequality is to multiply both sides by 4. This yields the equation 36*4>s, which can be simplified to 144>s.
2. Another possible solution is to subtract 4 from both sides. This gives the equation 36>s-4, which can be simplified to 36>s.
3. A third solution is to divide both sides of the equation by the coefficient of the variable, which is 4. This yields 36/4>s/4, which can be simplified to 36>s.
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f(x) = -3(x+4)(x-6) x intercepts
Answer:
x = - 4, x = 6
Step-by-step explanation:
To find the x- intercepts let y = 0 , that is
- 3(x + 4)(x - 6) = 0
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 6 = 0 ⇒ x = 6
please help me find answer for this question
Answer:
The answer with 4 cubes 2x2
Step-by-step explanation:
D it has 5 cubs in all,if you see A,B,C,they do not have cuds
ANSWER FAST PLZZZZZ Give examples of a simple interest amortized loan with fixed monthly payments.
this is amortization or something
The fixed monthly payment for this loan is $186.07.
Each month, the borrower will make a payment of $186.07, which will include both interest and principal.
The interest portion of the payment will decrease over time, while the principal portion will increase until the loan is fully paid off at the end of the 5-year term.
What is simple interest?It is the interest calculated on the principal at a given rate for a time period.
We have,
Here is an example of a simple interest-amortized loan with fixed monthly payments:
Loan amount: $10,000
Interest rate: 5% per year (0.42% per month)
Loan term: 5 years (60 months)
To calculate the fixed monthly payment, we can use the formula:
P = (Pv x r) / (1 - (1 + r)^(-n))
where:
P = monthly payment
Pv = present value of the loan (the amount borrowed)
r = monthly interest rate
n = total number of payments
Substituting the given values,
P = (10,000 x 0.0042) / (1 - (1 + 0.0042)^(-60))
P = $186.07 (rounded to the nearest cent)
Therefore,
The fixed monthly payment for this loan is $186.07.
Each month, the borrower will make a payment of $186.07, which will include both interest and principal.
The interest portion of the payment will decrease over time, while the principal portion will increase until the loan is fully paid off at the end of the 5-year term.
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Jane belongs to a book club. She pays a flat fee of $8 to ship any number of books. She is able to purchase
the books for $10 each. Which of the following choices shows the expression that represents
1. Jane's situation and
2. how much it would cost her if she bought 8 books?
a. 10+8b, the cost would be $88.
b. 8+10b, the cost would be $88.
C. 8+10b, the cost would be $74.
d. 10+8b, the cost would be $74.
Answer:
b.8+10b,the cost would be $88
Step-by-step explanation:
if she buys 8 books worth $10 each
so 8×10= 80
plus $8 for shipment
so $80 +$8 =$88
A square tile mesures 20 cm by 20cm a rectangular tile is 3 cm longer and 2 cm narrower. What is the different in area between the two tiles?
Answer:
Rectangular tile has 14 cm² larger area-----------------
Find each area and then find their difference.
A(square) = 20² = 400 cm²A(rectangle) = (20 + 3)(20 - 2) = 23*18 = 414 cm²The difference is:
414 - 400 = 14 cm²increase 58.50 by 10% working
Answer:
Final Value = 58.50 × (1 + 10/100)
Final Value = 58.50 × (1 + 0.1)
Final Value = 58.50 × (1.1)
Final Value = 64.35
Answer:
64.35
Step-by-step explanation:
58.50 × 0.10 = 5.85
58.50 + 5.85 = 64.35
Vectors a,b,c,d and e are drawn on a isometric grid . write each of the vectors c,d and e in terms of a and / or b . give each awnser in its simplist form
Answer:
\(c= 3a\)
\(d= b+a\)
\(e= a-b\)
Step-by-step explanation:
Given
See attachment
Required
Find c, d and e in terms of a and/or b
To answer this question, we consider the magnitude (size) and direction (positive or negative) of each vector
Up and Right direction are treated as positive
Down and Left direction are treated as negative
Solving (a): Vector c
Vector c and vector a, point towards the same direction
And the magnitude of c is such that, it can take 3 of a.
So:
\(c = a + a + a\)
\(c =3a\)
Solving (b): Vector d
This is best answered using an attachment (see attachment 2 for new positions of vector a and b)
From the new positions of a and b, we can see that:
(a): Vector b starts from the tip of d
(a): Vector a starts from the end of vector b
a, b and d all point toward the same direction (right or up)
Hence:
\(d = b + a\)
Solving (c): Vector e
This is best answered using an attachment (see attachment 2 for new positions of vector a and b)
From the new positions of a and b, we can see that:
(a): Vector a starts from the tip of e
(a): Vector b starts from the end of vector a
However, b points to the opposite direction of e
Hence:
\(e = a - b\)
Answer:
C = 3A
D = A + B
E = A - B
Step-by-step explanation:
Evaluate the following expression when a=5 and b=1. Then, plot the resulting value on the provided number line
When a=5 and b=1, the expression evaluates to 9. The resulting value can be plotted on the number line at the point 9.
Given that a=5 and b=1, we can substitute these values into the expression. The expression is not specified, so we'll assume a generic expression like a + b. When we substitute the values, we get 5 + 1, which equals 6. However, since the instructions state to evaluate the expression, we need to simplify further if possible. Without additional information, we cannot simplify the expression any further.
Therefore, the resulting value of the expression is 6. To plot this value on the provided number line, we locate the point 6 on the number line and mark it accordingly. However, it's important to note that the instructions mention plotting the resulting value, which is not specified. Since there is no specified expression, it is not possible to provide a precise location on the number line. Nonetheless, if we assume the generic expression a + b, the resulting value of 6 can be plotted at that point.
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----
an
- 11 + 5(n-1)
Answer:
-3.2
Step-by-step explanation:
The deepest point of Lake Titicaca in South America is -922 feet relative to its surface. The deepest point is 11,542 feet above sea level. What is the elevation of the surface of the lake? Use absolute value to explain.
Answer: 12464 feet
Step-by-step explanation:
Given: The deepest point of Lake Titicaca in South America is -922 feet relative to its surface.
We use absolute function, then the deepest point of Lake Titicaca in South America is |-922|=922 feet.
The deepest point is 11,542 feet above sea level.
That means, the elevation of the surface of the lake is the sum of 922 feet and 11,542 feet which is given by (922+ 11,542) feet =12464 feet
Hence, the elevation of the surface of the lake = 12464 feet
show that the following function are continuos and discontinuos
A.(f×)={×+1 ,for×less than or equai to 2
{ 2×–1 ,for 1<×<2
{×–1 ×<1
The function f(x) = \(\left \{ {{x+1} ,for x \leq 2 \atop {2x-1}, for 1 < x < 2} \atop {x-1} , for x < 1 \right.\) is continuous to all the values.
In mathematics, a function is a rule that assigns each element from one set (called the domain) to exactly one element of another set (called the range). The continuity of a function describes how smoothly it behaves as its input values change. In this context, we will analyze the continuity of the given function.
The given function is a piecewise function, which means it has different rules for different intervals of its domain. Let's analyze each interval separately to determine if the function is continuous or discontinuous.
For x less than or equal to 2, the function is f(x) = x + 1. This is a linear function, and we know that all linear functions are continuous everywhere. Therefore, the function is continuous for x less than or equal to 2.
For 1 < x < 2, the function is f(x) = 2x - 1. This is also a linear function, and as we said before, all linear functions are continuous. Therefore, the function is continuous for 1 < x < 2.
For x less than 1, the function is f(x) = x - 1. This is also a linear function and is continuous for all values of x less than 1.
Therefore, we can conclude that the given function is continuous for all values of x.
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Andrea is three times Nick's age. In 10 years, Andrea will be twelve years older than Nick.
What are their ages now?
Answer:
Nick is 6
Andrea is 18
Step-by-step explanation:
Sounds like a system of equations
Letting...
a = Andrea
n = Nick
Since she's 3 times the age, the first equation will be
a = 3n
Since in 10 years, Andrea will be 12 years older than Nick, we can write
a = n + 12
Since we have two a = ,we can set them equal to each other
3n = n + 12
Subtracting n
3n - n = 12
Now combining the n's (n is the same as 1n)
2n = 12
And last but not least, we can divide by 2
n = 6... so Nick is 6 right now.
Going back to our first equation of a = 3n, if we plug 6 in
a = 6(3) = 18.
Making Andrea 18 right now
Explain and correct the error in this calculation
-Picture below-
The error calculated is 2/5×3/8 = 3/20
What is error?An estimate or approximation of a true value and an error are two different things.
An error is defined as a mistake or a state of being incorrect. If you add 2+2 and get 5, that is an error. When a mistake causes you to believe the wrong conclusion about a collusion and you stick with it, that is an example of error.
Given
2/5×3/8 = 3/10
which is not possible, because 2×4 = 8 and the numerator and denominator is divided by 2 at the same time.
1/5×3/4 = 3/20
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How many times will the following loop execute?
int x = 0;
do {
x++;
cout << x << endl;
}while(x < 5)
Answers:
a. - 5 times
b. - 4 times
c. - It doesn't
d. - Infinite times
e. - 6 times
Answer:
Step-by-step explanation:
The loop will run an infinite number of times
Pls answer these McQ to be the brainliest
Step-by-step explanation:
1. c
2. a
3. c
4. c
5. d
6. b
7. a
8. b
9. c
Alicia had - $11.00 in her
checking account. She did a
few chores and made $44.50.
She decided to pay for her and
a friend to go to the movies
and each ticket costs $6.25.
How much money does she
have left in her account?
Answer:
$42
Step-by-step explanation:
It's $42 because 11+44.50 is 54.50 and then you take out 6.25 twice because it's her and one friend to get 42 dollars. Hope this helps!
A mouse climbs up a well of 86 meters. It advances 14 meters during the night, but during the day it retreats 2. The mouse will reach the surface on the day:
Step-by-step explanation:
we assume day and night are equally long.
and the mouse will start at night of day 1.
then, on day 2, it will first retreat 2 meters (during daylight) and then advance 14 meters (at night).
so, on every full day, the mouse will effectively advance 12 meters (-2 + 14 = 12).
with a starting value of 14 (the first night).
so, we are getting an arithmetic sequence
an = an-1 + c
c = 12 in our case.
a1 = 14
a2 = a1 + 12 = 14+12 = 26
a3 = a2 + 12 = a1 + 12 + 12 = 14 + 2×12 = 38
an = a1 + (n-1)×12 = 14 + 12(n-1)
at what n will it reach 86 ?
86 = 14 + 12(n-1) = 14 + 12n - 12 = 2 + 12n
84 = 12n
n = 7
so, on the 7th day the mouse will reach the surface (if we truly count the first starting night day 1 - this is up to your teacher, but I would).
In a bag of Christmas treats,there are 3 red candy canes for every 5 gingerbread men. If there are a total of 40 treats, how many are candy canes?
Answer:
Candy canes are a classic Christmas treat, traditionally white with red stripes and flavored with peppermint. They have been popular since the 1600s and are thought to have originated in Germany. Today, 90 percent of all candy canes are sold between Thanksgiving and Christmas.
In a bag of Christmas treats, there are 3 red candy canes for every 5 gingerbread men. If there total is 40 treats, then the number of candy canes will be 24. This can be calculated by taking 40 divided by 8 (5+3) which equals 5, and then multiplying this by 3 which equals 15. Therefore, 24 candy canes are included in the bag of 40 Christmas treats.
Step-by-step explanation:
divide polynomials by a binomial (x² + 2x ÷ 1) ÷ (x + 1)
\(X+1-\frac{2}{x+1}\)
Step-by-step explanation:
when we use the way like this because the 2 was left by it own at the end so we need to do like this, by we cannot divide it by x
steps for long division :Long division can also be used to divide decimal numbers into equal groups. It follows the same steps as that of long division, namely, – divide, multiply, subtract, bring down and repeat or find the remainder.
Which of the following is equivalent to
7-2(x + 2) <-4-3(1 - x)?
A. -2x<-17
B. 6 x <-9
C. -5x<-10
D. - X<-16
Answer:
C
Step-by-step explanation:
For this question you have to solve every inequality. To get the correct answer.
1.
Solve the equation below.
a.
x = 1
x = -2
x = 3
x = -4
b.
C.
d.
2x + 3 = 5
Answer:
a) x = 1
Step-by-step explanation:
Given: 2x + 3 = 5
1. Subtract 3 from both sides:
2x + 3 - 3 = 5 - 3
⟹ 2x = 2
2. Divide both sides by 2:
2x ÷ 2 = 2 ÷ 2
⟹ x = 1
3. Check your work:
2(1) + 3 = 5
2 + 3 = 5
⟹ 5 = 5 ✔
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consider each function to be in the form y=k⋅xp,y=k⋅xp, and identify k or p as requested. answer with the last choice if the function is not a power function.
A relation 'f' is referred to as a function if each element of a non-empty set X has just one image or range to a non-empty set Y. Here the function is not a simple power function.
Each function and the requested variable are:
y = 5x³
In this function, k = 5 and p = 3.
y = -2\(x^{-1/2}\)
In this function, k = -2 and p = -1/2.
y = 2
This function is a constant function and not a power function. Therefore, neither k nor p can be identified.
y = 4\(\sqrt{x}\)
In this function, k = 4 and p = 1/2.
y = 7/x²
In this function, k = 7 and p = -2.
y = \(3x^4 + 2x^3 - 5x^2 + 6\)
This function is not a simple power function. Therefore, neither k nor p can be identified.
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A political scientist surveys 28 of the current 157 representatives in a state's legislature. What is the size of the sample: What is the size of the population
In a political study, 28 out of 157 current representatives of a state's legislature are surveyed. The sample size is 28 and the population size is 157.
Sample size and population size are two important elements of statistics.
In a survey, a sample refers to a subset of people or items from a larger population.
Researchers select samples because it's impossible to conduct a study on the whole population due to time, cost, and other factors.
A sample is considered representative of the population if it is chosen randomly and if the sample size is large enough.
The population is the entire collection of people, items, or data that the researcher wants to analyze.
In the study, it is the total number of current representatives in the state's legislature.
Sometimes it is challenging to access the population. The sample is then obtained from the population.
The sample size and population size are two important elements of statistics.
Sample size is the number of individuals in a study, while the population size is the total number of individuals who could be studied.
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Evaluate the expression for the given value of the variable.
(5+k) / K
if k = 5
11
2
6
5
Answer:
2
Step-by-step explanation:
5+5=10/5=2 if k=5
Hope this helps you
How many terms are there in the expression 5xy² 35xy²?
There are two terms in the given expression 5xy²+ 35xy².
What is meant by term?
Terms comprise expressions. A term may be a constant, a variable, or a combination of variables and constants.
What is an example of a term?
It could be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase. Single-word examples: A single phrase is 3x.
There are two terms in the equation 5xyA ^2 + 35xyA^2 that is separated by an arithmetic operator +.
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In 2008, John bought a new motorcycle for $21,000. The motorcycle was worth $20,500 in the year 2012. If John knows that the value of the motorcycle depreciated linearly, what was the annual rate of change of the motorcycle's value? Round your answer to the nearest hundredth if necessary.
The negative sign indicates that the value is depreciating.
the annual rate of change of the motorcycle's value is -$125.
Here, we have,
To find the annual rate of change of the motorcycle's value, we can calculate the slope of the linear depreciation.
Let's denote the initial value of the motorcycle in 2008 as 'V₁' and the value of the motorcycle in 2012 as 'V₂'.
V₁ = $21,000
V₂ = $20,500
The rate of change, or slope, can be calculated using the formula:
Slope = (V₂ - V₁) / (Year₂ - Year₁)
In this case, Year₁ is 2008 and Year₂ is 2012.
Slope = ($20,500 - $21,000) / (2012 - 2008)
Slope = (-$500) / 4
Slope = -$125
The negative sign indicates that the value is depreciating.
Therefore, the annual rate of change of the motorcycle's value is -$125.
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allow for classification of individuals based on some attribute or characteristic. Quantitative Variables. provide numerical measures of individuals.
Qualitative variables allow for the classification of individuals based on some attribute or characteristic.
A qualitative variable, additionally referred to as categorical, is one wherein the variable categories aren't described as numbers but alternatively by using verbal groupings. There are classifications of specific statistics: nominal and ordinal. Nominal variables have “names,” not numerical values.
Quantitative variables are any variables in which the facts constitute amounts (e.g. height, weight, or age). specific variables are any variables wherein the information constitutes companies. Qualitative Variables. additionally referred to as specific variables, qualitative variables are variables without a natural feel of order. They're consequently measured on a nominal scale. Qualitative records are information describing the attributes or homes that an object possesses. The residences are categorized into training that may be assigned numeric values. but, there may be no significance to the statistics values themselves, they genuinely constitute attributes of the object worried.
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estimate the following product in scientific notation, and then select best answer for the products power of 10.
(8.91 x 10²)(3.3 x 10¹²)
A. 2.7
B. 14
C. 15
D. 27
C is the correct answer.
a 95 confidence interval for p1-p2 is (-0.185, -0.093). explain how the confidence interval provides the same information as the significance test in part a
We can conclude that the difference between p1 and p2 is statistically significant at the 5% level of significance.
The confidence interval and significance test in part A both provide similar information. The significance test in part A tests if the difference between p1 and p2 is statistically significant, while the confidence interval provides an estimated range of values for the true difference between p1 and p2 with a certain degree of confidence (95% in this case).A confidence interval is a range of values that we believe will include a population parameter with a specified level of confidence.
It can be computed to estimate the population mean or the difference between two population means, such as p1 and p2.In contrast, a significance test assesses whether the difference between two population proportions is statistically significant.
The test calculates a p-value, which is the likelihood of obtaining the observed difference between two proportions, assuming the null hypothesis (that there is no difference between the two proportions) is true. A p-value less than the level of significance (usually 0.05) indicates that the difference between the two proportions is statistically significant, while a p-value greater than the level of significance indicates that the difference is not statistically significant.
Both the confidence interval and the significance test inform us about the difference between two population proportions. The confidence interval provides a range of plausible values for the difference, while the significance test tells us whether the difference is statistically significant or not. In this particular case, since the confidence interval does not contain zero,
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