Dee spends $0.25, $0.30, $0.10 and $0.04.
How much $ does she spend in all?
By adding all the money she spend we get $0.69
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are given that Dee spends $0.25, $0.30, $0.10 and $0.04.
We need to find the money she spend in all.
Therefore, we have to add all the expenditure
0.25 + 0.30 + 0.10 + 0.04 = 0.69
The total money she spend could be 0.69.
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expand the fraction so they have the same dominator 1/3;1/5
Answer:
To expand the fractions 1/3 and 1/5 so they have the same denominator, you can find the least common multiple (LCM) of 3 and 5, which is 15. Then, you can multiply both the numerator and denominator of each fraction by the same number to get equivalent fractions with a denominator of 15. So, 1/3 can be expanded to (15)/(35) = 5/15, and 1/5 can be expanded to (13)/(53) = 3/15.
Step-by-step explanation:
is an angle in a right-angled triangle.
tan 0
=
23
52
What is the value of 0?
Give your answer in degrees to 1 d.p.
Yes, an angle in a right-angled triangle is always present. Without any additional information about the triangle, it is impossible to determine the value of the angle in question.
In a right-angled triangle, one of the angles is a right angle, which measures 90 degrees. The other two angles in the triangle are acute angles and their measures always add up to 90 degrees.
To find the value of the angle in question, we need to know some additional information about the triangle. If we have the lengths of two sides of the triangle, we can use trigonometric ratios to find the measure of the angle.
For example, if we know the length of the side opposite the angle and the length of the hypotenuse (the longest side of the triangle), we can use the sine ratio to find the measure of the angle.
If we know the length of the side adjacent to the angle and the length of the hypotenuse, we can use the cosine ratio.
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What is 36 inches in feet ?
Answer:
36 inches would be 3 feet
Step-by-step explanation:
Which function matches the table?
Number of Days Rented
1
2
3
4
Rental Cost ($)
12
17
22
27
A. f(x) = 5x
B. f(x) = 5 + 5x
0 Ç. f(x) = 7 + 5x
O D. f(x) = 12 + 5x
Answer:C. f(x)=7+5x
Step-by-step explanation:
12=5(1)+n
12=5+b
-b+12=5
-b=5-12
5-12=7
-b=7
f(x)=7+5x
I know this because I just answered this question and got it right
The equation of the function is f(x) = 7 + 5x option (C) f(x) = 7 + 5x is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The table is given,
From the data given in the table:
12 = 5(1)+n
12 = 5+b
b = 7
The function would be:
f(x) = 7 + 5x
Thus, the equation of the function is f(x) = 7 + 5x option (C) f(x) = 7 + 5x is correct.
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Describe how to attack RSA if a small value of e=3 is used. Can you come up a simple way to prevent such attacks? Justify your answer.
Using a small value of e (e=3) in RSA makes it vulnerable to the RSA low encryption exponent attack. To prevent this, use a large and random value for e.
If a small value of e (such as e = 3) is used in the RSA algorithm, it becomes vulnerable to a known attack called the RSA low encryption exponent attack or the small encryption exponent attack.
In this attack, an attacker can exploit the small value of e by calculating the e-th root of the ciphertext to obtain the plaintext message. Since e is small (e.g., 3), taking the cube root of the ciphertext is a computationally efficient task. Once the plaintext is recovered, the attacker can gain unauthorized access to the information.
To prevent such attacks, it is crucial to use a large and random value for the encryption exponent e. Choosing a small value like 3 makes the encryption vulnerable. By using a larger value for e, such as a 2048-bit or 4096-bit exponent, the security of the RSA algorithm is significantly enhanced. The larger the value of e, the harder it becomes for attackers to calculate the e-th root of the ciphertext and recover the plaintext.
Moreover, other security measures should be implemented, including the use of strong key generation techniques, secure key storage, and regular updates to the RSA algorithm to address any potential vulnerabilities discovered in the future.
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How To Convert Mcg To Mg Manually?
To Convert Mcg To Mg, divide your mcg figure by 1000
How To Convert Mcg To Mg?
1 milligram (mg) = 1000 micrograms (mg)
1 microgram (mcg) = 1/1000
=0.001 milligrams (mg)
Input:
Choose "mcg to mg conversion" or "mg to mcg conversion" from the top drop-down list, respectively.After that, note the number that needs to be transformed.At last. By pressing calculate, you can quickly convert between mcg and mg.To learn more about mcg to mg conversion refer to:
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Divide the number of mcg by 1000 to convert it to mg .A microgram is equal to 0.000001 g in micrograms because the prefix "micro-" in this context stands for 10-6.
How is mcg to mg converted? Divide the number of mcg by 1000 to convert it to mg.A microgram is equal to 0.000001 g in micrograms because the prefix "micro-" in this context stands for 10-6.Consequently, we set 1,000 mcg as the same as 1 mg.The mass in milligrams is multiplied by 1,000 to convert to micrograms, and the number of milligrams is divided by 0.001 to convert to micrograms for the conversion of mcg to mg units.Thousandth of a gram and 1,000 micrograms make up a milligram.Typically, the letter "mg" stands in for a milligram.The unit of measurement for a microgram is one millionth of a gram and one thousandth of a milligram.mcg or ug is the most common abbreviation.
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Show work for finding the surface area
The surface area of the scale model of the pre-image is given as follows:
12.57 cm².
How to obtain the surface area?The surface area of the scale model of the pre-image is obtained applying the proportions in the context of the problem.
The ratio between the side lengths of the pre-image and of the image is given as follows:
1 cm : 4 cm = 1/4.
As the side lengths are in cm and the surface area is in cm², the ratio between the surface areas is given as follows:
(1 : 4)² = 1 : 16.
The surface area of 201.06 cm² of the image is 16 times the surface area of the pre-image, which is given as follows:
16x = 201.06
x = 201.06/16
x = 12.57 cm².
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Answer:12.57
Step-by-step explanation:
What is the domain of the rational function f of x is equal to 2 x over the quantity 2 x cubed minus 5 x squared minus 12 x end quantity
x is an element of all real numbers such that x is not equal to 0
x is an element of all real numbers such that x is not equal to negative three halves comma 4
x is an element of all real numbers such that x is not equal to 0 comma negative three halves comma 4
x is an element of all real numbers such that x is not equal to 0 comma three halves comma negative 4
Using the domain concept, it is found that the domain of the function is: x is an element of all real numbers such that \(x \neq (-\frac{3}{2}, 4)\), second option.
----------------------
The domain of a function is all possible values that the input value x can assume.The domain of a fraction is all real values of x except the zeros of the denominator.----------------------
The function is:
\(f(x) = \frac{2x}{2x^3 - 5x^2 - 12x} = \frac{2x}{x(2x^2 - 5x - 12)} = \frac{2}{2x^2 - 5x - 12}\)
The points outside the domain are the zeros of \(2x^2 - 5x - 12\), which we find solving a quadratic equation.
----------------------
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
\(ax^{2} + bx + c, a\neq0\).
This polynomial has roots \(x_{1}, x_{2}\) such that \(ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})\), given by the following formulas:
\(x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}\)
\(x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}\)
\(\Delta = b^{2} - 4ac\)
----------------------
\(2x^2 - 5x - 12\) is a quadratic equation with \(a = 2, b = -5, c = -12\).
\(\Delta = b^{2} - 4ac = (-5)^2 - 4(2)(-12) = 121\)
\(x_{1} = \frac{-(-5) + \sqrt{121}}{2(2)} = 4\)
\(x_{2} = \frac{-(-5) - \sqrt{121}}{2(2)} = -\frac{6}{4} = -\frac{3}{2}\)
----------------------
The domain is: x is an element of all real numbers such that \(x \neq (-\frac{3}{2}, 4)\), second option.
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Answer:
Step-by-step explanation:
Using the domain concept, it is found that the domain of the function is: x is an element of all real numbers such that , second option.
----------------------
The domain of a function is all possible values that the input value x can assume.
The domain of a fraction is all real values of x except the zeros of the denominator.
----------------------
The function is:
The points outside the domain are the zeros of , which we find solving a quadratic equation.
----------------------
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots such that , given by the following formulas:
----------------------
is a quadratic equation with .
----------------------
The domain is: x is an element of all real numbers such that , second option.
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Here is the question 13. Higher Order Thinking In the equation 8x - the variable x represents the same value. Which value of x is the solution of the equation; x = 0, 1, 2, or 3? Explain. Can i have the answer please because right now for me i have been ding this since 3pm and its 9:19 right now
Answer:
\(\begin{array}{ccccc}x & {0} & {1} & {2} & {3} \ \\ 8x & {0} & {8} & {16} & {24} \ \end{array}\)
Step-by-step explanation:
Given
\(8x\)
Required:
Solve for \(x = 0,1,2,3\)
For x = 0
\(8x = 8 * 0\)
\(8x = 0\)
For x = 1
\(8x = 8 *1\)
\(8x = 8\)
For x= 2
\(8x = 8 * 2\)
\(8x = 16\)
For x = 3
\(8x = 8 *3\)
\(8x = 24\)
Hence, the results are:
\(\begin{array}{ccccc}x & {0} & {1} & {2} & {3} \ \\ 8x & {0} & {8} & {16} & {24} \ \end{array}\)
Please answer the questions at the top.
Answer: Let's be honest, no one knows the answer. Unless you want to pay coursehero $9.95/mo for an answer and step-by-step explanation, you're toast.
Some of my answers are absolutely amazing, and actually helpful. But some of my answers are not.
A lot of the time, Brainly's "Expert Verified Answers" are very incorrect, and even if you report it, Brainly does not care.
So, if Brainly ITSELF can't answer a question properly, well,
Simply put, your grade is toast.
And if Brainly deletes this absolutely wonderful fantastic answer, that just means that they are acknowledging that these "Expert Verified Answers" are not as "expert" as they may think they are.
:|
if f(x)=35x+25
and g(x)=22x+18
find 5f(4)+2g(10)
Answer:
1301
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 35x + 25
g(x) = 22x + 18
f(4) is x = 4 for function f(x)
g(10) is x = 10 for function g(x)
Step 2: Find Function Values
f(4)
Substitute in x [Function f(x)]: f(4) = 35(4) + 25Multiply: f(4) = 140 + 25Add: 165g(10)
Substitute in x [Function g(x)]: g(10) = 22(10) + 18Multiply: g(10) = 220 + 18Add: g(10) = 238Step 3: Evaluate
Substitute in function values: 5(165) + 2(238)Multiply: 825 + 476Add: 1301Divide. Give the quotient and remainder. 47 ÷ 5
Answer:
9 Remainder 2 which is also 9.4
Step-by-step explanation:
The closest to a full number would be 9. So do 9*5 to get 45. With a remainder of 2.
Brainliest maybe? I need one more and I level up in rankings.
Answer:
9 remainder 2.
Step-by-step explanation:
5 * 9 = 45
47 - 45 = 2.
I will give brainly :)
In the triangle below,
x= [? ]°. Round to the nearest
tenth.
8 cm
90°
10 cm
A flare is designed to follow the path modeled by the function h(t) = â€"16t2 100t, where t is the time elapsed, in seconds, and h(t) is the height, in feet, of the flare at that time. the function can be used to convert the height in feet to the height in meters. which composite function can be used to determine the height, in meters, of the flare at any given time?
the composite function that can be used to determine the height, in meters, of the flare at any given time is:
h_meters(t) = 0.3048 * h(t)
To determine the height of the flare in meters at any given time, we can use the composite function. The composite function is obtained by converting the height in feet to meters.
The conversion factor to convert feet to meters is 0.3048. So, we can multiply the height in feet by 0.3048 to get the height in meters.
Therefore, the composite function that can be used to determine the height, in meters, of the flare at any given time is:
h_meters(t) = 0.3048 * h(t) Where h(t) is the height of the flare in feet, and h_meters(t) is the height of the flare in meters.
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Each sheet cake requires 3 cups of flour and 2 cups of sugar. If a bakery has 75 cups of flour, how many sheet cakes can be made?
Answer:
They can make 25 cakes
Step-by-step explanation:
75/3=25
Substitute x = -3 and y = -5 into the expression -7y² + 9x
Answer:
-202
Step-by-step explanation:
-7(-5)^2+9(-3)
-7*5^2-27
-7*25-27
-175-25
-202
2(9x - 1) = 99-7(3 - 4x)
help please
Answer:
x = -8
Step-by-step explanation:
Distribute on both sides
combine constants
combine variables
then divide
Answer:
2(9x - 1) = 99-7(3 - 4x)
Step-by-step explanation:
2(9x + -1) = 99 + -7(3 + -4x)
The sales tax in a major city is 6%. Find the total cost, including the tax charged on a purchase of 500$
Answer:
$530
Step-by-step explanation:
6% of 500 is 30. Add 500 and 30.
Cisco and Misty need to construct a chicken coop for their famous egg-laying hens. The hens need at least 108 square feet of living space. The space available allows Cisco and Misty to make the length of the coop 3 feet longer than the width and to create exactly 108 square feet of area. What are the dimensions of the coop?
The dimensions of the coop are length = 12 ft and width = 9 ft
Area of the coopSince the coop is a rectangle, the area of the coop is A = LW where
L = length of coop and W = width of coop.Now, the length of the coop 3 feet longer than the width, so, L = W + 3
Now, the area of the coop A = 108 ft²
So, A = LW
A = (W + 3)W
108 = W² + 3W
Re-arranging,
W² + 3W - 108 = 0
So, we solve the equation to find the width of the coop
Width of coopW² + 3W - 108 = 0
Factorizing, we have
W² + 12W - 9W - 108 = 0
W(W + 12) - 9(W + 12) = 0
(W + 12)(W - 9) = 0
W + 12 = 0 or W - 9 = 0
W = -12 or W = 9
Since W cannot be negative, W = 9
Length of coop
Since L = W + 3
Substituting the value of W into L, we have
L = W + 3
L = 9 + 3
L = 12 ft
So, dimensions of the coop are length = 12 ft and width = 9 ft
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If sec t=−2.475, and angle t is in Quadrant III, find the other
5 trig ratios
cos t =
sin t =
tan t =
csc t =
cot t =
Given that sec(t) = -2.475 and angle t is in Quadrant III, the other five trigonometric ratios are as follows: cos(t) ≈ 0.404, sin(t) ≈ -0.916, tan(t) ≈ 2.268, csc(t) ≈ -1.092, and cot(t) ≈ 0.441.
We are given that sec(t) = -2.475, which represents the reciprocal of the cosine of angle t. Since sec(t) is negative and angle t is in Quadrant III, we can deduce that the cosine of t is negative. To find cos(t), we can use the identity sec(t) = 1/cos(t) and solve for cos(t), resulting in cos(t) ≈ 0.404.
Using the Pythagorean identity \(sin^2(t) + cos^2(t)\) = 1, we can find sin(t) as sin(t) = ±\(\sqrt(1 - cos^2(t))\). Since angle t is in Quadrant III, where sine is negative, we take the negative value. Thus, sin(t) ≈ -0.916.
By dividing sin(t) by cos(t), we obtain the tangent of t. Hence, tan(t) ≈ sin(t)/cos(t) ≈ -0.916/0.404 ≈ 2.268.
Cosecant (csc) is the reciprocal of sine, so csc(t) ≈ 1/sin(t) ≈ -1.092.
Similarly, cotangent (cot) is the reciprocal of tangent, so cot(t) ≈ 1/tan(t) ≈ 1/2.268 ≈ 0.441.
In conclusion, when sec(t) = -2.475 and angle t is in Quadrant III, the other five trigonometric ratios are approximately: cos(t) ≈ 0.404, sin(t) ≈ -0.916, tan(t) ≈ 2.268, csc(t) ≈ -1.092, and cot(t) ≈ 0.441.
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in a study of towns, there was a positive correlation between the number of mail boxes and number of traffic lights in a town. which variable is most likely the lurking variable that explains the correlation?
In the given scenario, where there is a positive correlation between the number of mailboxes and the number of traffic lights in a town, the most likely lurking variable that explains the correlation is the town's population size or density.
The lurking variable in this case refers to a variable that is not directly measured or observed but can influence or explain the relationship between the variables of interest. In this situation, it is reasonable to assume that the population size or density of a town could be the lurking variable that is driving the correlation between the number of mailboxes and the number of traffic lights.
A larger or denser population in a town would generally lead to increased residential areas, resulting in a greater need for mailboxes. Additionally, a higher population density often corresponds to increased traffic congestion and safety concerns, necessitating the installation of more traffic lights.
While the number of mailboxes and traffic lights are directly correlated, it is likely that the underlying factor influencing both variables is the population size or density of the town.
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10. A box contains five and two-thirds cups of rice. If three fourths of the rice will
be used, how many cups of rice remained in the box?
14
D.
Therefore, after using three-fourths of the rice in the box, 4 and 1/4 cups of rice remained.
To find the number of cups of rice that remained in the box, we need to calculate three-fourths (3/4) of the total amount of rice in the box.
The total amount of rice in the box is given as five and two-thirds cups. To work with a fraction, we can convert the mixed number to an improper fraction:
5 and 2/3 = (5 * 3 + 2) / 3 = 17/3 cups
Now, we can find three-fourths (3/4) of 17/3:
(3/4) * (17/3) = (3 * 17) / (4 * 3) = 51/12 = 4 and 3/12 = 4 and 1/4 cups
Therefore, after using three-fourths of the rice in the box, 4 and 1/4 cups of rice remained.
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(8 points) consider the matrix 1 0 5 −2 1 −6 0 2 8 . prove whether the column vectors are linearly independent or linearly dependent. is the matrix invertible? justify your answer.
Column vectors of the given matrix are linearly dependent and the matrix is not invertible.
The column vectors of the given matrix are linearly dependent because the first and third columns sum to give the second column. The matrix is therefore not invertible.
To prove that the column vectors are linearly dependent, we can look at the equations of the column vectors:
Column 1: (1, 0, 5)
Column 2: (1, -6, 0)
Column 3: (-2, 0, 8)
We can see that if we add the first and third columns, we get the second column. This shows that the column vectors are linearly dependent.
To prove that the matrix is not invertible, we can calculate the determinant of the matrix. The determinant of the matrix is 0, which shows that it is not invertible.
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What is the final amount if 1102 is increased by 2% followed by a further 1% increase?
Give your answer rounded to 2 DP.
Answer:
1135.28
Step-by-step explanation:
1102 * (1.02) = 1124.04
1124 * (1.01) = 1135.28
State whether the sentence is true or false. If false, replace the underlined term to make a true sentence.
The segment from the center of a square to the comer can be called the \underline{\text{radius}} of the square.
The statement "The segment from the center of a square to the corner cannot be called the 'radius' of the square" is false.
The term "radius" is commonly used in the context of circles and spheres, not squares. In geometry, the radius refers to the distance from the center of a circle or a sphere to any point on its boundary. It is a measure of the length between the center and any point on the perimeter of the circle or sphere.
In the case of a square, the equivalent term for the segment from the center to the corner is called the "diagonal." The diagonal of a square is the line segment that connects two opposite corners of the square, passing through its center. It is twice the length of the side of the square.
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Type the correct answer in each box. use numerals instead of words. what are the x-intercept and vertex of this quadratic function? g(x) = -5(x-3)^2 write each feature as an ordered pair: (a,b). the x-intercept of function g is . the vertex of function g is .
Considering the given quadratic function, we have that:
The x-intercept is (3,0).The vertex is (3,0).What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
In this problem, the function is given by:
g(x) = -5(x - 3)²
Hence h = 3, k = 0, and the vertex is (3,0).
What are the x-intercepts of a function g(x)?They are the values of x for which g(x) = 0, hence:
-5(x - 3)² = 0
(x - 3)² = 0
Applying the root to both sides:
x - 3 = 0.
x = 3.
The x-intercept is (3,0).
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2a^3 (5a^2– 7a)+(3a^4 – a^5 )
Answer:
9a^5-11a^4
Step-by-step explanation:
2a^3 (5a^2– 7a)+(3a^4 – a^5 )
10a^5-14a^4+3a^4-a^5
9a^5-11a^4
The value of (9.93).0.984
Answer:
9.77112
Step-by-step explanation:
Given
\((9.93).0.984\)
Required
Evaluate
To get the value of the expression, we simply multiply both together as follows; 9.93 * 0.984
First, take note of the decimal places
9.93 = 2 decimal places
0.984 = 3 decimal places
Remove the decimals and multiply the numbers as follows
9 9 3
9 8 4
----------------------
3 9 7 2
7 9 4 4
8 9 3 7
-----------------------------------
9 7 7 1 1 2
Add the decimal places
2 decimal place + 3 decimal places = 5 decimal places
Hence, the result is 9.77112 (5 decimal places)
Which statement about the ordered pairs (-9, 3) and (2, -4) is true for the equation 6x=14? 2
Both ordered pairs are solutions.
(-9, 3) is a solution to the equation.
Neither ordered pair is a solution.
(2, 4) is a solution to the equation.
Answer:
neither ordered pair is a solution
Step-by-step explanation:
to determine if the pairs are a solution, substitute the x- coordinate into the left side of the equation and if equal to the right side then they are a solution.
(- 9, 3 ) with x = - 9
6(- 9) = - 54 ≠ 14 ← not a solution
(2, - 4 ) with x = 2
6(2) = 12 ≠ 14 ← not a solution