Answers
Answer:
C - 52.50
Step-by-step explanation:
49 Euros To dollars
Answer:
C) 52.50
Step-by-step explanation:
[tex]\frac{15}{14}[/tex] = [tex]\frac{x}{49}[/tex] Cross multiply and solve for x
14x = 15(49)
14x = 735 Divide both sides by 14
[tex]\frac{14x}{14}[/tex] = [tex]\frac{735}{14}[/tex]
x = 52.50
Related Questions
The digits in the product of 0.48 and a decimal number between 350 and 400 are 182136. Explain how to correctly place the decimal point without knowing the other factor. Then Place place the decimal point in the product.
Answers
The decimal point is to be placed three places to the left.
What are decimal numbers?
When we divide a whole number into smaller parts, we get decimals. Then, there are two parts to a decimal number: a whole number part and a fractional part. The whole component of a decimal number has the same decimal place value system as the complete number. After the decimal point, however, when we proceed to the right, we obtain the fractional portion of the decimal number.
Given that, in the question, the product of a decimal number between 350 and 400 and 0.48 results in the numbers 182136. As 0.48 is just 48/100, let's take a decimal number between 350 and 400.
If the number is 370.1, for example, we can write it as 3701/10 because it has one decimal point.
Our denominator will be 1000, because both the denominators are 100 and 10, which is equivalent three decimal places to the left of the result when we multiply 48/100 by 3701/10.
The result provided to us should therefore be written as 182.136, with the decimal point moved three spaces to the left.
The decimal point is to be placed three places to the left.
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Point E has the same y-coordinate as point D, but the x-coordinate of point D. Plot point E and write the coordinates of point E. Then describe the type of reflection you plotted.
Answers
The coordinates of Point E are (-4,2) and Point E is a reflection of point D across the X-axis.
What is the coordinate about?Point E has the same y-coordinate as point D, which is 2. However, the x-coordinate of point E is the opposite of the x-coordinate of point D. The x-coordinate of point D is 4, so the x-coordinate of point E must be -4. Therefore, the coordinates of Point E are (-4,2).
As for the reflection, you can imagine a mirror placed on the x-axis (horizontally) and Point D and E being on the same side of that mirror.
Therefore, As Point D is reflected on the mirror, it will be flipped and the x-coordinate changes its sign and becomes -4. Therefore Point E is a reflection of point D across the X-axis.
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See full question below
Point E has the same y-coordinate as point D, but the x-coordinate of point E is the opposite of the x- coordinate of point D. Drag tiles to complete the statements. (4,2) (4,-2) (-4,2) (-4,-2) X-axis y-axis The coordinates of Point E are --- &Point E is a reflection of point D across the ---
A line has a slope of 2 and includes the points (
–
7,
–
10) and (0,j). What is the value of j?
Answers
Answer:
j = 4
Step-by-step explanation:
calculate the slope of the line passing through the goven points and equate to 2
calculate slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 7, - 10 ) and (x₂, y₂ ) = (0, j )
m = [tex]\frac{j-(-10)}{0-(-7)}[/tex] = [tex]\frac{j+10}{0+7}[/tex] = [tex]\frac{j+10}{7}[/tex] then equating gives
[tex]\frac{j+10}{7}[/tex] = 2 ( multiply both sides by 7 to clear the fraction )
j + 10 = 14 ( subtract 10 from both sides )
j = 4
Which is an expression for the derivative P(x) = f(x) / —f(x)
Answers
the derivative of the expression will be f'(x)*(1-f(x)) -( f(x)*-f(x)) / (f(x))².
What is derivative?
A function's varied rate of change with respect to an independent variable is referred to as a derivative. When there is a variable quantity and the rate of change is irregular, the derivative is most frequently utilised. The derivative is used to assess how sensitive a dependent variable is to an independent variable (independent variable). In mathematics, a quantity's instantaneous rate of change with respect to another is referred to as its derivative. Investigating the fluctuating nature of an amount is beneficial.
given expression p(x)= f(x)/1-f(x)
The derivative of the given expression will be
p'(x) = f'(x)*(1-f(x)) -( f(x)*-f(x)) / (f(x))²
Hence the derivative of the expression will be f'(x)*(1-f(x)) -( f(x)*-f(x)) / (f(x))².
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(50 points) Mariel and Sam Trent's savings account had a balance of $9,544 on May 1. The account earns interest at a rate of 5.25% compounded monthly until the end of August.
Answers
Answer:
$9,712.12 (nearest cent)
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{8.5 cm}\underline{Compound Interest Formula}\\\\$ A=P\left(1+\frac{r}{n}\right)^{nt}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $n =$ number of times interest is applied per year \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]
Given:
P = $9,544r = 5.25% = 0.0525n = 12 (monthly)t = 4 months = 1/3 yearSubstitute the given values into the formula and solve for A:
[tex]\implies A=9544\left(1+\frac{0.0525}{12}\right)^{12 \cdot \frac{1}{3}}[/tex]
[tex]\implies A=9544\left(1.004375\right)^{4}[/tex]
[tex]\implies A=9544\left(1.017615179\right)[/tex]
[tex]\implies A=9712.119269[/tex]
The balance of the account at the end of August will be $9,712.12 (nearest cent).
Help please i can’t do the math right I’m not getting any of those 4 options right
Answers
it's B. 3,406 that the answer I now bye bye
Answer:
it's b
Step-by-step explanation:
the population of a city was 250,000 in 1980, and it was 310,000 in 2000. what was the average rate of growth over this period?
Answers
Average rate of growth over this period is 0.4%.
Average rate of growth over a period is given by:
A=P[tex]e^{rT}[/tex] where,
A- Population at time T
P- Initial population
r-average rate of growth
T-Time period
Now, P=250,000, A=310,000 and T=21 (2000-1980+1)
therefore, putting values in the equation, we get:
310,000=250,000[tex]e^{21r}[/tex]
⇒ [tex]e^{21r}[/tex] = 1.24
⇒ 21r = log(1.24)
⇒ r = 0.0044 or 0.4%.
so, the average rate of growth over this time period is 0.4%.
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suppose that 3\%3%3, percent of over 200{,}000200,000200, comma, 000 books borrowed from a library in a year are downloaded. the librarians plan to take an srs of 757575 books from the population of borrowed books to see what proportion of books sampled are downloaded.what are the mean and standard de
Answers
In terms of the percentage of downloaded books, the sampling distribution's mean is 0.03 and its standard deviation is 0.0197.
Central Limit Theorem:
The sampling distribution of the sample percentage for a proportion p in a sample of size n will be roughly normal with a mean (μ = p) and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n} }[/tex].
In a given year, 3% of books checked out from the library are downloaded.
That means p = 0.03
and n = 75
By the Central Limit Theorem
Mean = μ = p = 0.03
Standard deviation = [tex]s = \sqrt{\frac{p(1-p)}{n} }[/tex]
[tex]s = \sqrt{\frac{(0.03)(0.97)}{75} }[/tex]
[tex]s=0.0197[/tex]
Hence,
In terms of the percentage of downloaded books, the sampling distribution's mean is 0.03 and its standard deviation is 0.0197.
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Complete these sentences by selecting the correct answers from the drop-down menus.
After one half-life,
% of the atoms will change to a stable isotope and
% will remain radioactive.
After three half-lives,
% of the atoms will change to a stable isotope and
% will remain radioactive.
Answers
Answer:
After one half-life,
50% of the atoms will change to a stable isotope and
50% will remain radioactive.
After three half-lives,
87.5% of the atoms will change to a stable isotope and
12.5% will remain radioactive.
Step-by-step explanation:
During the 1st half-life, 50% of the atoms change to a stable isotope, 50% radioactive left.
During the 2nd half-life, 50% of the left 50% radioactive change to a stable isotope, which is 25% of the total. 50% of 50% radioactive left, which is 25% of the total. Then 75% change to a stable isotope and
25% remain radioactive.
During the 3rd half-life, 50% of the left 25% radioactive change to a stable isotope, which is 12.5% of the total. 50% of 25% radioactive left, which is 12.5% of the total. Then 87.5% change to a stable isotope and
12.5% remain radioactive.
if you babysit for a year for 10hr every weekday how much did you make?
Answers
Answer:
Well, nothing because you didn't say how much money you make a day, a week, or a month.
Step-by-step explanation:
You tried to trick me haha <3
△DEF is an isosceles triangle. If m∠D = (3x + 5)° , m∠E = (4x − 15)° and m∠F = (2x + 10)° , what is the measure of one of the congruent base angles?
Answers
The measure of one of the congruent base angles is 65°.
How to illustrate the triangle?It's important to note that any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane. In other words, there is only one plane that contains that triangle, and every triangle is contained in some plane. A triangle has three sides, three angles and the sum of the angles equal 180°.
It should be noted that a triangle has 3 side, 3 angles and a sum of 180°.
In this situation, DEF is an isosceles triangle. If m∠D = (3x + 5)° , m∠E = (4x − 15)° and m∠F = (2x + 10)°.
The value will be illustrated thus:
3x + 5 + 4x - 15 + 2x + 10 = 180
Collect the like terms
9x = 180 - 5 + 15 - 10
9x = 180
x = 180 / 9
x = 20
The measure of one of the congruent base angles will be:
= 4x - 15
= 4(20) - 15
= 65°
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I have this question can anyone solve
Answers
Answer:
-16Step-by-step explanation:
• 12a - 2b - 4b - 15a + 2 (a = 0, b = 3)
→ apply the values
• 12x0 - 2x3 - 4x3 - 15x0 + 2
• 0 - 6 -12 - 0 + 2
→ use BODMAS formulae
• 0 - 6 - 12 - 2
= 0 - 6 - 10
→ zero wouldn't be counted so
- 6 - 10
(-) + (-) = (+) so:
= -16
suppose that, of people who undergo routine screening, for every two people who have colon cancer, there are 100 who do not. (that is, 2/102 people have it.) of those who undergo screening and do have colon cancer, all of them will have a positive test. of the people who undergo screening but don't have colon cancer, only 2 percent have a positive test. a random person undergoes routine screening and has a positive test. what is the probability (not odds) that this person has colon cancer? choose the range in which the answer lies.
Answers
The probability that a person has colon cancer given that they have a positive test result is approximately 0.98. The answer lies in the range [0.95, 1.00].
Let's call the probability that a person has colon cancer given that they have a positive test result "p". We can use Bayes' Theorem to find this probability.
Bayes' Theorem is: p(A|B) = (p(B|A) * p(A)) / p(B)
In this case, A is the event that the person has colon cancer, and B is the event that the person has a positive test result.
We are given that:
p(B|A) = 1 (all people who have colon cancer will have a positive test result)
p(B|~A) = 0.02 (2% of people who do not have colon cancer will have a positive test result).
We are also given that p(A) = 2/102 (2 out of 102 people who undergo routine screening have colon cancer) and p(~A) = 100/102 (100 out of 102 people who undergo routine screening do not have colon cancer).
Substituting these values into Bayes' Theorem, we get:
p(A|B) = (1 * (2/102)) / (1 * (2/102) + 0.02 * (100/102))
Simplifying, we get:
p(A|B) = 0.98
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I need help with these answeres. they are for geometry.
Answers
1) The two column proof for ΔLMN ≅ ΔLON is as developed below.
2) The two column proof for ΔGHJ ≅ ΔKLM is as developed below
How to carry out two column proof?A two-column proof is defined as a geometric proof that consists of a list of statements, and then the reasons that we know those statements are deemed to be true.
1) The two column proof showing that ΔLMN ≅ ΔLON is;
Statement 1: LN bisects ∠MLO and LM ≅ LO
Reason 1: Given
Statement 2: MN ≅ ON
Reason 2: Line segment bisector
Statement 3: ∠MLN ≅ ∠OLN
Reason 3: def. of angle bisector
Statement 4: LN ≅ LN
Reason 4: Reflexive property of congruence
Statement 5: ΔLMN ≅ ΔLON
Reason 5: SSS Congruency postulate
2) The two column proof is as follows;
Statement 1: ∠G ≅ ∠K, ∠J ≅ ∠M
Reason 1: Given
Statement 2: ∠H ≅ ∠L
Reason 2: 3rd angle theorem
Statement 4: ΔGHJ ≅ ΔKLM
Reason 4: ASA Congruency Postulate
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boston thinks that the domain is all positive real numbers between 0-4 while caleb thinks it is all whole numbers between 0-4. who do you agree with, and why?
Answers
0-4 can be the domain of positive real numbers but can not be the domain of whole numbers.
Numbers an arithmetical value used in counting and calculating that is expressed as a word, symbol, or figure that represents a specific quantity.
Let's understand what is positive real numbers.
That is all the real numbers that are greater than or equal to zero.
real numbers are numbers which include both rational and irrational numbers.
whole numbers are positive integers that mean only positive integers.
that means 0-4 can be the domain of positive real numbers but can not be the domain of whole numbers because 0.5 and 0.6 these numbers are not whole numbers.
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6. The quadratic function below models the flight of a model rocket, where
the height, h(t) is in metres, and the time, t is in seconds. What is the initial
height of the rocket before it is launched?
h(t) = -5t² +42t +54
Answers
Answer:
Step-by-step explanation:
The initial height of the rocket before it is launched can be found by evaluating the function h(t) at t=0. To do this, you can substitute 0 for t in the function:
h(0) = -5(0)² + 42(0) + 54
h(0) = 0 + 0 + 54
h(0) = 54
Therefore, the initial height of the rocket before it is launched is 54 meters.
Answer: 54 meters.
Step-by-step explanation: The initial height of the rocket before it is launched is represented by the constant term in the quadratic function, which is 54. This means that the rocket's height at time t = 0 (before it is launched) is 54 meters.
To confirm this, you can plug in t = 0 into the quadratic function to get:
h(0) = -5(0)² + 42(0) + 54 = 54 meters
This means that the initial height of the rocket before it is launched is 54 meters.
. Solve for x: log₂ (x+4) + log₂ (x + 3) = 1. Pleasee
Answers
The value of x for the expression is equal to -5 and -2.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the logarithmic expression is log₂ (x+4) + log₂ (x + 3) = 1. The value of x will be calculated as,
log₂ (x+4) + log₂ (x + 3) = 1
log₂ { (x+4)(x + 3) } = 1
x² + 7x + 12 = 2
x²+ 7x + 10 = 0
Solve the above quadratic equation,
x²+ 7x + 10 = 0
x² + 5x + 2x + 10 =0
x ( x + 5 ) + 2 ( x + 5 ) = 0
(x + 5 ) ( x + 2 ) = 0
x = -5 and -2
The values of x are -5 and -2.
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ray ab bisects CAT. if m< CAT =30 and m
(pls show how i did it)
Answers
Solve. 3 x − 9 x 2 = − 10
Answers
Answer:
below
Step-by-step explanation:
9x^2-3x-10 = 0 Use quadratic Formula with a = 9 b = -3 and c = -10
to find the zeroes are x = 1/6 ± sqrt (41) / 6
Which is the midpoint of segment AB with A(-1,5) and B(6,-3)
Answers
Answer:
(2½,1)
Step-by-step explanation:
(-1+6/2,5+-3/2)
(5/2,2/2)
(2½,1)
A line is parallel to y = 4x + 11 and
intersects the point (-2, 4). What is the
equation of this parallel line?
y = 4x + [?]
Answers
The equation of the line that is parallel to given line is y = 4x + 12
What is slope of Parallel lines:Parallel lines have an equal slope. The slope of parallel lines is identical because they are all equally inclined with respect to the positive x-axis.
If m₁ and m₂ are slopes of parallel lines then => m₁ = m₂
Here we have
A line is parallel to y = 4x + 11 ---- (1)
The given line is in form of y = mx + c [ where slope of line = m ]
On comparing both lines, Slope given line = 4
Let the required line with slope m₁ is y = m₁x + c --- (2)
As we know slope of parallel lines are equal or same
=> Slope of line (2), m₁ 4
Line (2) => y = 4x + c
Given that the line passes through (-2, 4)
=> 4 = 4(-2) + c
=> 4 = -8 + c
=> c = 12
Therefore,
The equation of the line that is parallel to given line is y = 4x + 12
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The statement for the expression 4x-10 is
Answers
Subtract 3
2y + 2xy – x + 4 from 9 - 7x + 3xy - 4
2y
2. Which of the following expressions has a
constant term of 4?
a. 4x² + 4x
b. x² + 3x - 4
C. 2x²-x+4
d. 4x²+2x - 10
e. x+ 5x + 8
Answers
Answer:
C would be the answer
Step-by-step explanation:
constants are the numbers with no terms.
Solve for y
-x - 2y ≥ 7
Answers
Answer: [tex]y \leq -\frac{x}{2}-\frac{7}{2}[/tex]
Step-by-step explanation:
[tex]-x-2y \geq 7\\\\x+2y \leq -7\\\\2y \leq -x-7\\\\y \leq -\frac{x}{2}-\frac{7}{2}[/tex]
A right triangle has a leg length of √ and a trypolenuse length of 7. Determine the length of the other leg of the right triangle.
03
O √59
O√43
Answers
The length of the other leg is (c) √43
How to determine the length of the other legFrom the question, we have the following parameters that can be used in our computation:
Hypotenuse = 7
One leg = √6
The length of the other leg can be calculated using
The length of the other leg = √(Hypotenuse^2 - One leg^2)
So, we have
The length of the other leg = √(7^2 - √6^2)
Evaluate
The length of the other leg = √43
Hence, the length is (c) √43
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Complete question
A right triangle has a leg length of √6 and a hypotenuse length of 7. Determine the length of the other leg of the right triangle.
It takes 47 pounds of seed to completely plant a 5 -acre field. How many acres can be planted per pound of seed? (b)
Answers
What are the consecutive perfect cubes which added to obtain a sum of 100? PLEASE HELP!!!!!!!
Answers
Answer: 1, 2, 3, 4 are the consecutive perfect cubes which are added to obtain a sum of 100.
Step-by-step explanation:
Perfect cubes are the numbers that are triple product of same number.
1^3 = 1
2^3 = 8
3^3 = 27
4^3 = 64
1+8+27+64 = 100
Answer: 1, 2, 3, 4 are the consecutive perfect cubes which are added to obtain a sum of 100.
Explanation:
Perfect cubes are the numbers that are triple product of same number.
1^3 = 1
2^3 = 8
3^3 = 27
4^3 = 64
1+8+27+64 = 100
PLEASE HELP ASAP FOR MY FINALS
Answers
Answer:
A.86
is the answer will show how it's solved if necessary on comment.
hope it helps!!!
given that e1 and e2 have a high spearman correlation, what can we say about the pearson correlation of e1 and e2?
Answers
Given that e1 and e2 have a high spearman correlation, what we can say about the Pearson correlation of e1 and e2 is; The Pearson correlation must be high
How to Interpret Correlation Coefficient?A correlation coefficient is defined as the measurement of the extent to which two variables tend to change together.
Now, the Pearson correlation is the type that evaluates the linear relationship that exists between two continuous variables. A relationship is said to be linear as a result of a change in one variable being associated with a proportional change in the other variable.
Meanwhile, the spearman correlation is one that evaluates the monotonic relationship between two continuous or ordinal variables.
If the relationship described above tells us that one variable increases when the other increases, but then the amount is not consistent, then it means that the Pearson correlation coefficient is positive but less than +1. However, the Spearman coefficient still equals +1 in this case.
Thus, we conclude that as the spearman correlation is high, then the Pearson correlation is also high.
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show that 12cos30 + 2tan60 can be written in the form Vk where k is an integer
Answers
Answer:
√192
Step-by-step explanation:
12 cos 30° + 2 tan 60°
Substitute the trig functions of the special angles.
12 (½√3) + 2 (√3)
Simplify.
6√3 + 2√3
8√3
Move under the radical.
√(8² · 3)
√192
