Therefore , the solution of the given problem of unitary method comes out to be $54.
A unitary method is defined.A single or distinct unit variable is referred to as being "unitary". Therefore, the goal of this technique is to define values in favor of a finite unit. For instance, the unitary method can be used to calculate how many kilometers a car will travel on one litre of gas if it goes 44 on two.
Here,
Given :
In place of every two sugar cookies, Natalie orders five chocolate chip cookies.
In total, she needs 42 cookies. Each sugar cookie costs $0.75, while each chocolate chip cookie costs $1.50.
thus ,
total cost is : 30 * 1.50 + 0.75*12
=> 54
Therefore , the solution of the given problem of unitary method comes out to be $54.
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In the figure, ∠1 ≅ ∠2, ∠3 ≅ ∠4, and . You can justify the conclusion that ∠TKL ≅ ∠TLK by stating _____
The congruence of the angles <TKL and <TLK is justified as follows:
The supplements of congruent angles are congruent.
How to justify the congruence of angles TKL and TLK?Congruent angles are angles that have the same angle measure.
The congruent angles for this triangle are given as follows:
<TKL and <TLK∠3 ≅ ∠4.An angle is supplementary with it's exterior angle, meaning that the sum of their measures is of 180º, hence:
<TKL + <3 = 180º.<TLK + <4 = 180º.As angles 3 and 4 are congruent, we have that angles <TKL and <TLK are also congruent, and thus the correct option is given by the last option.
Missing InformationThe problem is given by the image presented at the end of the answer.
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What are the factors of 904?
904 is a composite number.
Prime factorization: 904 = 2 × 2 × 2 × 113, which can be written 904 = 2³ × 113.
What is a factor in math?
A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product
The exponents in the prime factorization are 3 and 1. ...
Factors of 904: 1, 2, 4, 8, 113, 226, 452, 904.
Factor pairs: 904 = 1 × 904, 2 × 452, 4 × 226, or 8 × 113.
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How do you compare exponential graphs?
They are graphed looking at the asymptote, the intercept, the rate of change and the end behavior. They are compared by the rate of change. Function translations and stretching/compression.
To graph the function, along with the coefficients of the function, the end behavior of the function is needed, as follows:
Limit of y when x goes to negative infinity: gives the behavior at the left end of the graph.
Limit of y when x goes to positive infinity: gives the behavior at the right end of the graph.
They are compared by their rate of changes, if they are increasing/decreasing, and which one increases faster.
The transformations are as follows:
Translation: a constant is added to either x or y(changing the asymptote if y), meaning that the function can be moved down, up, left or right.
Stretching: a constant multiplies x or y, meaning that the graph can be either compressed or stretched vertically or horizontally.
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What is the growth factor in an exponential function?
The growth factor in an exponential function is the constant multiplier that is used to generate the next value in a sequence. It is usually represented by the letter r or b.
The growth factor in an exponential functionThe growth factor in an exponential function is a constant multiplier that is applied to each successive value in the series to generate the next value.
For example, with an exponential function of the form y = a*b^x, the growth factor is represented by the letter b.The growth factor is essentially the rate of growth of the exponential function, and is calculated by taking the ratio of two successive values of the function.
For example, with the function y = 2*3^x, the growth factor would be calculated by taking the ratio of y(x+1) / y(x) = 3. This means that for every one unit increase in the value of x, the value of y is multiplied by 3.The growth factor is an important concept in exponential functions, as it helps describe how quickly the function is growing or decaying.
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1. Traci is t years old. Her brother Scott is 3 years older than she is. Write an expression that represents Scott's age.
Answer:
(t + 3) years old
Step-by-step explanation:
How do you calculate pixel size with FOV and matrix size?
By dividing the field of view by the matrix size, one can get the pixel size.
A single dot on the user's screen is measured in pixels. The image will be displayed on any screen by the combination of numerous spots. Pixel dimensions are the length and width of a picture expressed in pixels. to determine the field of view (FOV), matrix size, and pixel size which is generally in millimetres per pixel).
The number of pixels in the image is known as the matrix size, and FOV is commonly expressed in degrees. Using this formula, you may get the size of each pixel in millimetres by converting the FOV from degrees to millimetres and dividing it by the number of pixels.
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what is the solution to the equation 1/ the root of 8 =4^(m-2). 15/4 11/4 5/4 9/4 plsssss help
m = 5/4 is the solution to the equation
How to find the solution to the equation?
An indices equation is an equation that relates the indices of two or more variables or functions in a mathematical expression. The indices are the exponents of the variables or functions, and the equation states the relationship between them.
The equation can be simplified as follows:
[tex]\frac{1}{\sqrt{8} } = 4^{m-2}[/tex]
[tex]\frac{1}{8^{\frac{1}{2} } } = 4^{m-2}[/tex]
[tex]8^{-\frac{1}{2} } = 4^{m-2}[/tex]
[tex](2^{3})^{-\frac{1}{2} } = 2^2^{(m-2)}[/tex]
[tex]2^{-\frac{3}{2} } = 2^2^{(m-2)}[/tex]
Equate the powers or exponents:
-3/2 = 2(m-2)
-3/2 = 2m - 4
2m = -3/2 + 4
2m =5/2
m = 5/4
The solution to the equation is m = 5/4
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I need to find F, that's all
Answer:
[tex]f=6[/tex]
Step-by-step explanation:
Well we know that for a line the degrees is equal to 180 degrees to find that interior angle you will have to do
[tex]180-152\\ =28[/tex]
And we know that the interior of a triangle is equal to 180 degrees
[tex]180= 120 +5f+2+28\\180=5f+150\\30=5f\\f=6[/tex]
two cruise ships left Maui traveling in the opposite directions. The one heading east was going 12 mph faster than the one heading west. After six hours, the ships were 300 miles apart. How fast did the ship going east travel?
Answer: We can start solving this problem by using the information given: the ships are traveling in opposite directions and the speed difference between them is 12 mph. Let's call the speed of the ship heading east x and the speed of the ship heading west x-12.
We also know that the ships were 300 miles apart after 6 hours. The distance between the two ships can be represented as the sum of the distances traveled by each ship, which is x*6 + (x-12)*6 = 300.
We can use this equation to find the value of x.
x*6 + (x-12)*6 = 300
We can simplify it as:
x6 + x6 - 72 = 300
x12 - 72 = 300
x12 = 372
x = 31
So the ship heading east travels at 31 mph.
It is important to notice that the ship going west was 12 mph slower than the ship going east, so the speed of the ship going west is 31-12 = 19 mph.
It is also important to notice that the speed of each ship, x and x-12, are in the same units (mph) and also the distance, 300 miles, and the time, 6 hours, are also in the same units (hours and miles)
Step-by-step explanation:
From the set {16, 20, 24}, use substitution to determine which value of x makes the inequality true
x = 16, x = 20, and x = 24 make the inequality true.
What is inequality?
In mathematics, a relationship between two expressions or values that are not equal to each other is called 'inequality. ' So, a lack of balance results in inequality.
To use substitution to determine which value of x makes the inequality true, we can substitute each value from the {16, 20, 24} into the inequality and see if it makes the inequality true or false.
For example, if the inequality is x < 10, we can substitute 16, 20, and 24 into the inequality to see which one makes it true:
16 < 10 is true
20 < 10 is false
24 < 10 is false
So, we can see that only 8 makes the inequality true. Therefore, x = 8 makes the inequality true.
If the inequality is x > 10, we can substitute 16, 20, and 24 into the inequality to see which one makes it true:
16 > 10 is true
20 > 10 is true
24 > 10 is true
Hence, x = 16, x = 20, and x = 24 make the inequality true.
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Can you help me with this
Answer:
Step-by-step explanation:
whats the function
Are multiples of 8 Infinite?
No, multiples of 8 are not infinite.
Multiples of 8 include mainly the numbers that can be obtained by multiplying the number 8 by any whole number. The set of multiples of 8 includes 8, 16, 24, 32, 40, and so on, but it is not infinite. In fact, it's a countable set, and it has the highest value, which is infinity times 8, which is also infinity. However, it is not infinite because there is a finite number of multiples of 8 for any given positive integer n, such that 8*n is the highest multiple of 8. The set itself is not infinite.
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solve: y=5
3x - 2y= 14
Answer:
(8,5)
Step-by-step explanation:
Step-by-step explanation: y=5 x 3x - 2y= 14
The Johnson family went out to lunch The meal cost $46.72 The sales tax was % of the cost of the meal The tip was 15 % of the meal and sales tax . There are 4 people in the Johnson family . How much did the meal cost per person , including sales tax and tip ? A $ 14.00 B $ 14.50 C $ 14.95 D $ 15.25
Answer: The answer is B. $14.50
Slope intercept form of this question?
Answer:
[tex]\displaystyle y=-\frac{1}{6}x-\frac{2}{6}[/tex]
Step-by-step explanation:
[tex]\displaystyle x+6y=-2\\\\6y=-2-x\\\\y=-\frac{2}{6}-\frac{1}{6}x\\\\y=-\frac{1}{6}x-\frac{2}{6}[/tex]
Please help me on this!!!!!!
Answer:
y = -[tex]\frac{1}{2}[/tex]x+6
Step-by-step explanation:
First off, you need to know what slope-intercept form is: y = mx+b
y = mx+b
b = the y-intercept, or where the line meets with (0,y), which is value of the coordinate is the y-intercept.
Looking at your yellow dot on the y axis, (0,6), could be the perfect fit to find the y-intercept.
So, know we know: y = mx+6
m = the slope of the line - you have to find two coordinates
in this case, it could be the two yellow points
(0,6)
(6,3)
use the following two coordinates to find the slope:
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
In this case, it would be 3-6/6-0, which equals to -1/2.
So, finally, we get:
y = -[tex]\frac{1}{2}[/tex]x+6
Triangle xyz has coordinates x(2, 4), y(−3, 4), and z(−3, 1). if the triangle is translated using the rule (x, y) → (x − 2, y 1), what are the coordinates of y'? y'(–5, 5) y'(0, 5) y'(–5, 2) y'(–1, 3)
The given coordinates for point y are y(−3, 4). Using the translation rule (x, y) → (x − 2, y + 1), the new coordinates for point y' will be y'(–5, 5).
The given coordinates for point y are y(−3, 4). This means that the x coordinate of point y is -3, and the y coordinate of point y is 4. Applying the translation rule (x, y) → (x − 2, y + 1), the x coordinate of point y' is obtained by subtracting 2 from the x coordinate of point y, which is -3. The y coordinate of point y' is obtained by adding 1 to the y coordinate of point y, which is 4. Therefore, the new coordinates for point y' are y'(–5, 5).
The given coordinates for point y are y(−3, 4). Using the translation rule (x, y) → (x − 2, y + 1), the new coordinates for point y' will be y'(–5, 5).
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Answer:
A 5,-5
Step-by-step explanation:
what is the 4+6+9+0+6000438975.226
Answer:
It equals 0
Step-by-step explanation:
Hope it helps!
Given the equation f(x) = x³ - 2x, find the average rate of change of the function over the interval -1 ≤ x ≤ 5.
Shayna and Arjun each improved their yards by planting grass sod and geraniums. They bought
their supplies from the same store. Shayna spent $16 on 2 ft² of grass sod and 1 geraniurn, Arjun
spent $73 on 1 ft² of grass cod and 7 geraniums. What is the cost if one ft² of grass sod and the cost of one geranium?
The cost of 1 ft² grass sod is $3 and the cost of 1 geranium is $10.
This is found using simultaneous equations.
What are simultaneous equations?
A finite set of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations.
Let,
x = Cost of 1 ft² grass sod
y = Cost of 1 geranium
In Shayna's case
Grass sod = 2ft²
Geranium bought = 1
Cost = $16
Equation
2x + y = 16 ⇒ (1)
In Arjun's case
Grass sod = 1 ft²
Geranium = 7
Cost = $73
Equation
x + 7y = 73 ⇒ (2)
Solving the equation (1) and (2)
From (1)
y = 16 - 2x
Substituting the above in (2)
x + 7 (16-2x) = 73
-13x = -39
x = 3
y = 16 - 2*3 = 10
Therefore from the solution of the above simultaneous equations, we can conclude that the cost of 1 ft² grass sod is $3 and the cost of 1 geranium is $10.
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I need help asap please and thank you
Answer:
1) (-1;4), (4;3)
2) (-1;4), (0;0)
Step-by-step explanation:
Did I Help You?
How do you find the three factors of a polynomial function?
Find two numbers, r and s, whose product is c and whose sum is b to factor a trinomial of the type x2 + bx + c. Rewrite the trinomial as x2 + rx + sx + c, and then factor the polynomial using grouping and the distributive property.
What is polynomial?A polynomial is an expression in mathematics that consists of variables (also known as indeterminates) and coefficients and includes only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Step 1: Combine the first two terms, then the last two terms. Step 2: Separately extract a GCF from each binomial. Step 3: Get rid of the common binomial. It's worth noticing that dividing our solution by itself yields the original polynomial. A polynomial is an equation made up of variables, constants, and exponents that are mixed using mathematical operations including addition, subtraction, multiplication, and division (No division operation by a variable).
Here,
To factor a trinomial of the type x2 + bx + c, find two numbers, r and s, whose product is c and whose sum is b. Rewrite the trinomial as x2 + rx + sx + c, then factor the polynomial using grouping and the distributive property.
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How do you find the value of x in exponents and powers?
To find the value of x in exponents and powers, we can use logarithm.
To find the value of x in an equation involving exponents or powers, you can use logarithms. The logarithm of a number is the exponent to which a base, such as 10 or e, must be raised to equal that number. The base of the logarithm is usually written as a subscript, so log base 10 of 100 is written as log10(100).
For example, if the equation is x^3 = 27, you can use logarithms to solve the equation by taking the logarithm of both sides with the same base. log(x^3) = log(27) and by using the logarithm properties we can simplify this to 3log(x) = log(27) and then divide both sides by 3 and x = 3.
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HELP ASAP (100 POINTS)
It is impossible to determine the constant of proportionality from the information given. A proportional relationship is when two quantities are related by a constant factor. The graph shows the relationship between math test raw scores and a certain number of points, but the constant of proportionality cannot be determined based on this alone. To determine the constant of proportionality, we would need to know how the points are calculated based on the raw scores, and see an equation that relates the two variables.
Complete the table for the given rule.
Rule: y=x/2
(X over 2)
X y
X 1
X 2.5
X 3.5
Answer y = X/2
How to complete the table using y=x/2 (X over 2) rule ?
The given function is a linear function passing through Origin.
We have to Complete the table using the given rule.
y=x/2
1.→ 1= x/2
x=2
2.→ 2.5=x/2
x=5
3.→2=3.5=x/2
x=7
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Keisha had 2/7 of a spool of yarn. She used 4/5 of her yarn for a project. What fraction of the spool was used for the project? Write your answer in simplest form.
Answer:
8/35
Step-by-step explanation:
2/7 x 4/5 = 8/35 (that is the simplest fraction)
To make it easier to visualize, let's say someone gave you 1/2 a spool, then you use 1/2 of that 1/2. How much did you use? 1/2 x 1/2 = 1/4
Please help as soon as possible!!!
Answer:
Anything to the 0 power is equal to 1
Step-by-step explanation:
Answer:
Anything to the zero power equals 1.
The measures of two angles of a triangle are 25° and 87°. Is the triangle acute, right, or obtuse? Explain.
A.
Acute; the measure of the third angle is 68°. So all three angles are acute.
B.
Acute; the measure of the third angle is 78°. So all three angles are acute.
C.
Obtuse; 25° + 87° = 112° and 112° is an obtuse angle.
D.
Right; 25° + 87° = 112° and 202°
−
-
112° = 90°.
Obtuse; 25° + 87° = 112° and 112° is an obtuse angle is the correct answer.
What is triangle?Triangle is a three-sided polygon with three angles. All the sides of a triangle are connected, forming a closed shape. Triangles come in many different shapes and sizes. The most common type of triangle is an equilateral triangle, which has three equal sides and three equal angles. Other types of triangles include isosceles, scalene, obtuse, and right triangles. Triangles are used in many different fields, including architecture, engineering, and mathematics.
The triangle is obtuse because 25° + 87° = 112° and 112° is an obtuse angle. An obtuse triangle is one in which one angle has a measure greater than 90°.
The remaining two angles are acute, meaning they measure less than 90°.
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i need help willing to give 10 pts if anybody to help me with these quiz 4-1 classifying and solving for sides/ angles in triangles
The Values of missing angles are shown below.
What is angle Sum Property?Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.
6. Using Angle sum property
<1 + 72 + 57 = 180
<1 = 51
Now, <2 +72 = 90
<2 = 18
<and, <3+ 57 = 180 (linear pair)
<3 = 123
Now, <4 = 180- 123- 18
<4 = 39
7. <1 = 180- 129 = 51 (linear pair)
<2 = 180- 51 - 95 = 34 (Angle sum property)
<3 = 95 (Vertical opposite angle)
<4= 180- 47 - 95 = 38
<5 = 47 (Vertical opposite angle)
<7= 180-121= 59
<6= 180-59-47= 74
8. Using Angle sum property
13x+ 2 + 5x - 7 + 3x -4 = 180
21x -9 = 180
21x = 189
x= 9
So, angles are 13x+2 = 119, 5x-7 = 38 and 3x-4 = 23
9. Using Exterior Angle property
19x- 18 = 7x+1 + 10x- 9
19x - 18 = 17x - 8
2x = 10
x= 5
So, angles are 19x-18 = 77, 7x+1 = 36 and 10x-9 = 41
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Which statements are true about the regular polygon select three options
Answer:
Each interior angle measures 108 degrees. All of the angles are congruent. The sum of the measures of the interior angles is 180(5 – 2)°.