Answer:
- 22.667
Step-by-step explanation:
1.5^3 = 1.5 x 1.5 x 1.5 = 3.375
- 3.64 ⋅ | 5.3 | - 1.5^3
= ( - 3.64 ⋅ | 5.3 | ) - 1.5^3
= ( - 3.64 ⋅ 5.3 ) - 1.5^3
= ( - 3.64 x 5.3 ) - 1.5^3
= - 19.292 - 3.375
= - 22.667
The lenten on a map states that 1 inch is 40 miles. If you measure 5 inches on the map, how many miles would the actual distance be?
===============================================
Work Shown:
(1 inch)/(40 miles) = (5 inches)/(x miles)
1/40 = 5/x
1*x = 40*5 .... cross multiply
x = 200 miles
------------
We could also look at it like this:
1 inch = 40 miles
5*(1 inch) = 5*(40 miles) .... multiply both sides by 5
5 inches = 200 miles
____ + _____= 16 + +____ - ______=12 = = 26 16
In the first line, we are going to have that if you put 7 then to have the sum rigth the next space have to be 9, following that idea the space down of the 9 have to be also 7 and the first space on the second line have to be 19. So we are going to have 7 + 9 = 16 in the first line and in the second line 19 - 7 = 12, and the other two operations are going to be solve also 7 + 19 = 26 and 9 + 7 = 16.
Then the answer is 7 + 9 = 16 in the first line and in the second line 19 - 7 = 12.
3.13 what substitution system results when we use a 1 * 25 playfair matrix?
A 1x25 Playfair matrix results in a substitution system called the "Playfair Cipher."
This cipher is a digraph substitution cipher, where pairs of letters are encrypted using a 5x5 matrix created from a keyword. The matrix is filled with unique letters of the alphabet, and "I" and "J" are typically combined into one slot. The Playfair Cipher encrypts pairs of letters by following specific rules: if the letters are in the same row or column, they're replaced by the letters to their immediate right or below, and if they form a rectangle, they're replaced by the letters on the same row but in the opposite corners. This cipher provides a more secure encryption compared to simple substitution ciphers, as it encrypts pairs of letters instead of single characters.
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find the degree of the term. 7x^2
Answer:
The degree of the term is 2.
Step-by-step explanation:
Part 1: - What is the end-of-year wealth if Jane Christine receives a stated annual interest rate of 24% compounded monthly on a $1 investment? - Harry DeAngelo is investing $5,000 at a nominal interest rate of 12%, compounded quarterly, for five years. What is his wealth at the end of five years? - Linda Defond invested $1,000 at a continuously compounded rate of 10% for two year. What is the value of her investment at the end of two years?
Answer:
$1.27
$9030.56
$2,210.34
Step-by-step explanation:
The formula for calculating future value:
FV = P (1 + r/n)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
1. 1( 1 + 0.24 /12)^12 = $1.27
2. 5000 ( 1 + 0.12 /4)^( 5 x 4) = $9030.56
the formula for calculating future value when there is continuous compounding is : A x e^r x N
A= amount e = 2.7182818 N = number of years r = interest rate
3. 1000 x e^0.1 x 2 = $2,210.34
evaluate the following expression 2.5 x 10^4 - 1.5 ×10^3
You have the following expression:
2.5 x 10⁴ - 1.5 x 10³
in order to simplify the previous expression, consider that the factors with base 10 have to have the same exponent. You can write the second term as a factor with 10⁴ if you write 1.5 as 0.15 (if you increase the exponent you move the decimal point to the left). Then, you can subtract the coefficients of the term and put the same factor x 10⁴:
Then, you have:
1.5 x 10³ = 0.15 x 10⁴
2.5 x 10⁴ - 0.15 x 10⁴ = 2.35 x 10⁴
Hence, the asnwer is:
2.35 x 10⁴
observations consisting of pairs of variable data are required to construct a ________ chart.
Observations consisting of pairs of variable data are required to construct a scatter plot chart. A scatter plot chart is a graphical representation of the relationship between two variables.
One variable is plotted on the horizontal axis, while the other variable is plotted on the vertical axis. Each point on the chart represents an observation or data point consisting of a pair of values for the two variables being plotted. The scatter plot chart is useful for identifying patterns, trends, and relationships between the variables. It can also be used to detect outliers or unusual observations that do not follow the general pattern of the data.
The scatter plot chart can be enhanced by adding regression lines or trend lines, which provide a visual representation of the linear relationship between the two variables. Overall, the scatter plot chart is a powerful tool for analyzing and understanding the relationship between two variables in a dataset.
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Observations consisting of pairs of variable data are required to construct a scatter chart.
A scatter chart is a graphical representation of a set of observations where one variable is plotted on the x-axis and the other variable is plotted on the y-axis. Scatter charts are useful in identifying patterns and relationships between the two variables. The strength and direction of the relationship between the variables can be determined by examining the pattern of the scatter chart. If the data points are tightly clustered around a straight line, then there is a strong linear relationship between the two variables. On the other hand, if the data points are scattered without any pattern, then there is no relationship between the two variables. Scatter charts are commonly used in scientific research, marketing analysis, and other fields where two variables need to be analyzed simultaneously.
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The sum of the lengths of the sides of a two-dimensional figures is called the _____ of the figure.
Is "perimeter". The perimeter is the sum of all the sides of a two-dimensional figure. For example, if you have a rectangle with sides of length 3 and 5, then the perimeter would be 3+3+5+5 = 16.
In explanation, the perimeter is an important measure of a two-dimensional figure because it gives us an idea of how much boundary or fence we would need if we were to enclose the figure. Additionally, the perimeter can be used to calculate other properties of a figure such as its area or volume.
the perimeter is an essential concept in geometry that helps us measure the boundaries of two-dimensional figures.
Perimeter refers to the total length of the sides or edges of a two-dimensional shape. To calculate the perimeter, you simply add the lengths of all the sides of the figure.
Conclusion: In summary, the term you are looking for is "perimeter," which represents the total length of the sides of a two-dimensional figure.
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i need help please as soon as possible thanks
Step-by-step explanation:
12a-9a>-12+6
3a>-6/:3
a>-2
Express the first trigonometric function in terms of the second. sinθ, cosθ
The expression √(1 - cos^2θ) represents the positive square root of the difference between 1 and cos^2θ. Since sine can be positive or negative depending on the quadrant, the sign of sinθ will depend on the quadrant in which θ lies.
To express the first trigonometric function sinθ in terms of the second trigonometric function cosθ, we can utilize the fundamental trigonometric identity known as the Pythagorean identity. This identity relates the values of sine and cosine and is given by:
sin^2θ + cos^2θ = 1
Rearranging this equation, we can solve for sin^2θ:
sin^2θ = 1 - cos^2θ
Taking the square root of both sides, we get:
sinθ = √(1 - cos^2θ)
Therefore, we have expressed sinθ in terms of cosθ using the Pythagorean identity.
This expression allows us to find the value of sinθ when we know the value of cosθ. By substituting the given value of cosθ into the expression, we can calculate the corresponding value of sinθ.
It is important to note that the expression √(1 - cos^2θ) represents the positive square root of the difference between 1 and cos^2θ. Since sine can be positive or negative depending on the quadrant, the sign of sinθ will depend on the quadrant in which θ lies.
In summary, sinθ can be expressed in terms of cosθ using the Pythagorean identity as sinθ = √(1 - cos^2θ). This expression provides a way to find the value of sinθ when the value of cosθ is known, allowing us to establish a relationship between the two trigonometric functions.
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What are the differences between commission, tax, and discounts?
Answer:
Commission is when you invoice an agent “gross” and the agent pays you the “gross” value. ... Discount is when you invoice an agent “net” of his discount and he pays you the “net value keeping the “discount” for themselves.
Answer:
Commission is when you invoice an agent “gross” and the agent pays you the “gross” value. the Commission is then reserved for payment at a later date.
and
Discount is when you invoice an agent “net” of his discount and he pays you the “net value keeping the “discount” for themselves.
thats all ik
If f(x) = 3x2 + 1 and g(x) = 1 – x, what is the value of (f – g)(2)?
12
14
36
38
Answer:
14
Step-by-step explanation:
(f - g)(x)
= f(x) - g(x)
= 3x² + 1 - (1 - x)
= 3x² + 1 - 1 + x
= 3x² + x
Then
(f- g)(- 2)
= 3(- 2)² + 2
= 3(4) + 2
= 12 + 2
= 14
Three balls are packaged in a cylindrical container as shown below. If the balls just touch the top, bottom, and sides of the cylinder, how much of the space inside thecylinder is not filled by the balls if the diameter of a single ball is 7 cm?
The height of the cylinder is the sum of the diameters of the spherical balls, which is 7cm+7cm+7cm=21cm.
The radius of the cylinder is half of the diameter of the spherical balls which is 3.5cm.
The volume of cylinder is given by the formula:
\(\begin{gathered} V=\pi\times r^2\times h \\ V=\pi\times3.5^2\times21 \\ V=\pi\times12.25\times21 \\ V=257.25\pi cm^3 \end{gathered}\)The volume of sphere is given by the formula:
\(\begin{gathered} V=\frac{4}{3}\times\pi\times r^3^{} \\ V=\frac{4}{3}\times\pi\times3.5^3 \\ V=\frac{4}{3}\times\pi\times42.875 \\ V=\frac{171.5\pi}{3} \\ V=57.167\pi cm^3 \end{gathered}\)There are three(3) spherical balls in the cylinder, thus, the volume of the 3 spherical balls will be:
\(\begin{gathered} V=\text{ 3}\times57.167\pi \\ V=171.5\pi cm^3 \end{gathered}\)Hence, the volume of the space inside the cylinder, not filled by the balls is:
\(\begin{gathered} V=\text{Volume of the cylinder-Volume of the 3 spherical balls} \\ V=257.25\pi-171.5\pi \\ V=85.75\pi cm^3 \\ \text{Take }\pi\text{ to be 3.142} \\ V=85.75\times3.142 \\ V=269.42cm^3 \end{gathered}\)4
13) While shopping for a gift, you find the perfect wallet on sale
for 89% off its original $5.62 price. How much will you pay for
the wallet?
I
14) A wallet is marked with a sale sticker saying it is 76% off
The original price is $57.41. What is the sale price?
15) Originally priced at $48.69, a wallet was found on a 10% off
rack. What is the sale price of the wallet?
Answer:
13) 0.61 cent
14) 13.78 $
15) 3.82 $
Step-by-step explanation:
Hope this helps
The required solutions are given as,
13) Discounted price of the walled 0.61 cents,
14) the sale price is given as $ 13.78,
15) sale price of the wallet is $ 3.82,
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
(1)
The perfect wallet is on sale for 89% off its original $5.62 price,
Discounted price, = 5.62 - 89% of 5.62
= 5.62 - 0.89 × 5.62
= 5.62(1 - 0.89)
= 5.62(0.11)
= 0.61 cents
Similarly,
14) the sale price is given as $ 13.78,
15) sale price of the wallet is $ 3.82,
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a researcher is interested in the relationship between happiness and gpa of high school students. after surveying 50 students, he determines that there is a correlation between these two variables of .90. this is considered a: group of answer choices strong negative linear correlation strong positive linear correlation weak negative linear correlation weak positive linear correlation
The correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.
A correlation coefficient measures the strength and direction of the relationship between two variables. In this case, the correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.
A positive correlation means that as one variable (in this case, happiness) increases, the other variable (GPA) also tends to increase. The magnitude of the correlation coefficient, which ranges from -1 to 1, represents the strength of the relationship. A value of 0.90 indicates a very strong positive linear correlation, suggesting that there is a consistent and significant relationship between happiness and GPA.
This means that as the level of happiness increases among high school students, their GPA tends to be higher as well. The correlation coefficient of 0.90 suggests a high degree of predictability in the relationship between these two variables.
It is important to note that correlation does not imply causation. While a strong positive correlation indicates a relationship between happiness and GPA, it does not necessarily mean that one variable causes the other. Other factors or variables may also influence the relationship between happiness and GPA.
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simplify:
(3i)(5i)(6+5i)
Step-by-step explanation:
remember, i = sqrt(-1)
let's go left to right :
(3i)(5i) = 3×sqrt(-1)×5×sqrt(-1) = 3×5×sqrt²(-1) = 15×-1 = -15
-15×(6+5i) = -90 - 75i
at a football game 8 out of every 20 spectators are girls there were a total of 1560 at the game how many were girls
Given the percent of 2/5%. What is it's value as a decimal? What is it's value as a fraction?
Answer:
2/5% is .004 as a decimal and 1/250 as a fraction
Step-by-step explanation:
2/5% is .4% which is .004 as a decimal
2/5 ÷ 100/1 is the same as 2/5 × 1/100 which is 2/500 or 1/250
Last year, there were 123 pies baked for the bake sale. This year, there were b pies baked. Using b, write an expression for the total number of pies baked in the two years.
how do you do factors of 5 grade
Answer:
If we divide 5 by any other integer, then the remainder will be a non-zero positive integer.
Step-by-step explanation:
graph:y-10=-2(x-10)grgrgrgrggrgrgrgrgrgrrgrrggr
Answer: 14
Step-by-step explanation:
y -1 0 = -6
Ans -2 (x-10) = 14
Hope I could help :)
4. The equation 2x + 3y = a is the tangent line to the graph of the function, f(x) = br² at x = 2. Find the values of a and b. HINT: Finding an expression for f'(x) and f'(2) may be a good place to start. [4 marks]
the values of a and b are a = 3/2 and b = -1/6, respectively.
To find the values of a and b, we need to use the given equation of the tangent line and the information about the graph of the function.
First, let's find an expression for f'(x), the derivative of the function f(x) = br².
Differentiating f(x) = br² with respect to x, we get:
f'(x) = 2br
Next, we can find the slope of the tangent line at x = 2 by evaluating f'(x) at x = 2.
f'(2) = 2b(2) = 4b
We know that the equation of the tangent line is 2x + 3y = a. To find the slope of this line, we can rewrite it in slope-intercept form (y = mx + c), where m represents the slope.
Rearranging the equation:
3y = -2x + a
y = (-2/3)x + (a/3)
Comparing the equation with the slope-intercept form, we see that the slope, m, is -2/3.
Since the slope of the tangent line represents f'(2), we have:
f'(2) = -2/3
Comparing this with the expression we derived earlier for f'(2), we can equate them:
4b = -2/3
Solving for b:
b = (-2/3) / 4
b = -1/6
Now that we have the value of b, we can substitute it back into the equation for the tangent line to find a.
Using the equation 2x + 3y = a and the value of b, we have:
2x + 3y = a
2x + 3((-1/6)x) = a
2x - (1/2)x = a
(3/2)x = a
Comparing this with the slope-intercept form, we see that the coefficient of x represents a. Therefore, a = (3/2).
So, the values of a and b are a = 3/2 and b = -1/6, respectively.
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100 point if anyone can finish all of my work i would really appreciate it <3
Answer:
8. Image below!
9. 134 feet
10. Below.
11. The answers represent the timings at which the rocket was at height 164 feet.
12. 5.702s
Step-by-step explanation:
8. Image below
9. \(f(1)= -16(1)^2+100(1)+50 = 134\)
I'm doing this in a rush but I can tell you what you can do for the rest.
10. Use the quadratic formula
\(164 = -16x^2+100x+50\\\\0 = -16x^2+100x-214\\\\\)
And set a= -16, b=100, c=-214
You'll get two x-values.
11. The answers represent the timings at which the rocket was at height 164 feet.
12. Hitting the ground means the height is equal to 0. So...
\(0 = -16x^2+100x+50\\\)
Using the quadratic formula you get
x=5.702s
and
x= 0.548s
This means the rocket hits the ground at 5.702s.
Can someone please give me the (Answers) to this? ... please ...
I need help….
Step-by-step explanation:
1.
the indicated point in the middle is the center point of the circle.
the line perpendicular to a chord going through that center solid the chord in half.
so,
x = 9
2.
Pythagoras
c² = a² + b²
13.5² = x² + 10.4²
182.25 = x² + 108.16
x² = 74.09
x = 8.607554821...
3.
Intersecting Chords Theorem
(part one of chord 1)×(part two of chord 1) =
= (part one of chord 2)×(part two of chord 2)
6x = 10×9 = 90
x = 90/6 = 30/2 = 15
4.
Intersecting Chords Theorem again
x(x+3) = 4×10 = 40
x² + 3x = 40
x² + 3x - 40 = 0
generation solution to a quadratic equation
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 3
c = -40
x = (-3 ± sqrt(3² - 4×1×-40))/(2×1) =
= (-3 ± sqrt(9 + 160))/2 = (-3 ± sqrt(169))/2 =
= (-3 ± 13)/2
x1 = (-3 + 13)/2 = 10/2 = 5
x2 = (-3 - 13)/2 = -16/2 = -8
negative values for a length do not make sense, so x = 5 is our solution
5.
Intersecting Chords Theorem
(x+1)×4 = (x-1)×5
4x + 4 = 5x - 5
9 = x
a single card is drawn from a standard deck of 52 cards. what are the odds against drawing a card with a number less than 5?
If a single card is drawn from a standard deck of 52 cards, the probability it will be a card with a number less than 5 is 4/13.
Probability measures how likely an event occurs. The probability of an event A is defined as:
P(A) = number of ways A can occur / total possible outcomes
In the given problem, let an ace card is considered as 1. Then, for each suit of cards, the card numbers which are less than 5 are cards number: 1, 2, 3, 4.
There are 4 suits, hence:
number of ways the event can occur = 4 x 4 = 16
total possible outcomes = 52
Therefore,
P(<5) = 16/52 = 4/13
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Answer:14/52
Step-by-step explanation:
1/6 divided by 4 i need the answer please thank you.
Answer:
The correct answer is 1/24
I'm 100000000000% sure.
Determine the scale factor for Triangle ABC to Triangle A’B’C
Answer:
C
Step-by-step explanation:
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I need help with this word problem please help
you will need 7 cups of sugar. 35 divided by 5 is 7.
Answer: You will need 7 cups of sugar.
Step-by-step explanation:
For every 5 eggs, you add one cup of sugar. 35 eggs divided by 5 eggs = 7 cups of sugar.
find the sum of all two digit numbers that have exactly three factors
The sum of all two-digit numbers that have exactly three factors is 126.
To find the sum of all two-digit numbers that have exactly three factors, we need to determine which numbers satisfy this condition.
A number has exactly three factors if it is a perfect square. In other words, the number must be the square of a prime number.
The prime numbers less than 10 that have two-digit squares are 4, 5, 6, and 7. So we need to find the sum of their squares: 4^2 + 5^2 + 6^2 + 7^2 = 16 + 25 + 36 + 49 = 126.
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Square WXYZ has coordinates W(-4, 5), X(-1, 5), Y(-1, 8), and Z(-4, 8). If the square is translated 1 unit left and 1 unit up, what are the coordinates of W'?
Answer:
it would be (-5,6) your welcome