The graph represents the number of cups of flour for the number of cups of sugar ina cake recipe. Which ratio is accurate based on the graph?

The tοtal area οf the figure is 2x (area οf right angle triangle) + area οf rectangle + area οf half circle = \((30 + 144 + 56.5) cm^2 = 230.5 cm^2\)

1.) Tο calculate the area οf a right-angled triangle, yοu can use the fοrmula:

Area = 1/2 x Base x Height

Where the Base is the length οf the side that is perpendicular tο the height, and the Height is the length οf the side that is perpendicular tο the Base.

In this case, the height is 12 cm and the base is 5 cm.

Therefοre, the area οf the triangle is:

Area = 1/2 x 5 cm x 12 cm

Area = 30 square cm

Sο, the area οf the right-angled triangle is 30 square centimetres.

2.) If bοth sides οf a rectangle are 12 cm, then it is a square.

Tο calculate the area οf a square, yοu can use the fοrmula:

Area = side x side

Substituting the given value οf side = 12 cm intο the fοrmula:

Area = 12 cm x 12 cm= 144 sq. cm

Therefοre, the area οf the square with bοth sides οf 12 cm is 144 square centimeters.

3.) The area οf a half circle can be fοund by dividing the area οf a full circle by 2.area οf a circle fdοrmula is:

Area = πr²

where (pi) is a mathematical cοnstant rοughly equal tο 3.14159 and r is the circle's radius.

Substituting the given value οf radius r = 6 cm intο the fοrmula:

Area οf a full circle = π(6 cm)²= 36π sq. cm

Area οf a half circle = 1/2 x 36π sq. cm= 18π sq. cm≈ 56.55 sq. cm (rοunded tο twο decimal places)

Therefοre, the area οf the half circle with a radius οf 6 cm is apprοximately 56.55 square centimeters.

By adding all the individuals areas οf the figure, we get 230.5 cm².

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Answer:

B. The DNA molecule has two newly-made strands

Step-by-step explanation:

That's not part of the DNA replication process

Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.

Answer:

No

Step-by-step explanation:

5+10<17

To sketch the curves in the z-plane and their images under w = z², we analyze each equation individually. For (a), (b), (c), and (d), the curves are lines or circles in the z-plane.

The equation |z - 1| = 1 represents a circle centered at (1, 0) with radius 1 in the z-plane. Under w = z², the circle transforms into a parabolic shape. The equation x = 1 represents a vertical line at x = 1 in the z-plane. Under w = z², the line transforms into a parabola that opens to the right. The equation y = 1 represents a horizontal line at y = 1 in the z-plane. Under w = z², the line transforms into a parabola that opens upwards.

The equation y = x + 1 represents a straight line with a slope of 1 and y-intercept at (0, 1) in the z-plane. Under w = z², the line transforms into a parabola. The equation y² = x² - 1, x > 0 represents the right branch of a hyperbola in the z-plane. Under w = z², the hyperbola transforms into a parabolic shape.  The equation y = 1/x, x ≠ 0 represents a rectangular hyperbola in the z-plane. Under w = z², the hyperbola transforms into a curve that consists of two branches. By analyzing the transformations under w = z², we can visualize how the curves in the z-plane are mapped to the w-plane.

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b³-12b²+b²

Step-by-step explanation:

using laws of algebra

Answer: b³-12b²+b

Step-by-step explanation:

Answer:

i believe 8s is you answer

Step-by-step explanation:

how i got this was i took 2 to the second power which is 2x2=4 so 4s added to 3s is 7s added to 1 is 8s

im not sure if it's right or not, i hope that i helped you :)

Lars wrote rules for two patterns and then used them to generate ordered pairs (x, y).  However, we can analyze the patterns and the given ordered pairs to make some educated guesses and formulate hypotheses about the rules.

The patterns and the given ordered pairs are not specified in the question, so we have to assume some examples. For instance, if Lars wrote the rule "y = 2x + 1" for the first pattern, he could have generated the ordered pair (3, 7) by substituting x = 3 and computing y = 2(3) + 1 = 7. Likewise, if Lars wrote the rule "y = x^2 - 4" for the second pattern, he could have generated the ordered pair (-2, 0) by substituting x = -2 and computing y = (-2)^2 - 4 = 0. However, Lars could have used different rules and generated different ordered pairs, so we cannot know for sure which one he wrote without additional information.

In summary, Lars wrote rules for two patterns and used them to generate ordered pairs (x, y). The question does not provide enough information to determine which specific ordered pair Lars could have written, but we can make some educated guesses based on the given rules and examples. Without knowing the rules, we cannot verify our guesses, but we can use them to illustrate the process of pattern recognition and hypothesis formation in mathematical thinking.

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Answer:

D. it is greater than 1.

Step-by-step explanation:

3/8 +7/8 = 1 2/8

Answer:

The product is 21/64 and it cannot be simplified.

The composite function when evaluated is -156

From the question, we have the following parameters that can be used in our computation:

f(x) = x^3 +1 and g(x) = ∛(x) - 1

The composite expression is given as

-6*f(3) - 6*g(-1)

Substitute the known values in the above equation, so, we have the following representation

-6*f(3) - 6*g(-1) = -6*(3^3 + 1) - 6 * (∛(-1) - 1)

Evaluate

-6*f(3) - 6*g(-1) = -156

Hence, the solution is -156

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Answer:

\(\frac{1}{4}\)

Step-by-step explanation:

Slope = \(\frac{y_2-y_1}{x_2-x_1}\) where the given points are \((x_1,y_1)\) and \((x_2,y_2)\)

Plug the given points (80,20) and (120,30) into the equation

\(\frac{y_2-y_1}{x_2-x_1}\\= \frac{30-20}{120-80}\\= \frac{10}{40}\\= \frac{1}{4}\)

Therefore, the slope of the line that passes through these points is \(\frac{1}{4}\).

I hope this helps!

Capacity of tank be x

At end of journey the tank was half filled.

Now used percentage is 30%

\(\\ \sf\longmapsto \dfrac{30x}{200}\)

\(\\ \sf\longmapsto \dfrac{3}{20}x\)

Now

Expression:-

\(\\ \sf\longmapsto \dfrac{3}{20}x+8\)

The equation that represents x when solved is \(x=\frac{y-8}{1.5}\)

Given the equation that expresses the weight of a chimpanzee with respect to the months of birth as:

y = 1.5x + 8

We are to express x in terms of "y"

\(y = 1.5x + 8\)

Subtract 8 from both sides

\(y -8= 1.5x + 8-8\\y-8 = 1.5x\\Swap\\1.5x = y - 8\)

Divide both sides by 1.5

\(\frac{1.x}{1.5}= \frac{y-8}{1.5} \\x=\frac{y-8}{1.5} \\\)

Hence the equation that represents x when solved is \(x=\frac{y-8}{1.5}\)

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Answer: The correct formula would be the 3rd option .5s + 4a = 15

Hope this helps!

’

The mathematician who lent his name to a test often mentioned in NYT crossword puzzles is Emil Post.

Emil Post was an influential mathematician who lived from 1897 to 1954. He made significant contributions to the field of mathematical logic, particularly in the area of formal systems and decision problems. One of his notable contributions is the development of the Post's Correspondence Problem, also known as the Post's Test.

The Post's Test is a problem in theoretical computer science that involves finding a solution to a sequence matching problem. It deals with determining whether there is a sequence of strings that can be concatenated in different ways to form identical sequences. This problem has important implications in the study of formal languages and computational complexity.

Due to the relevance and popularity of the Post's Test in the field of mathematical logic and computer science, Emil Post's name became associated with this problem. As a result, his name often appears in crossword puzzles, including those featured in the New York Times (NYT) crossword, which often includes clues related to various fields of knowledge, including mathematics and science.

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Without more information, it is not possible to determine the name of the mathematician who lent his name to a test in the New York Times crossword.

The question is asking for the name of a mathematician who lent his name to a test in the New York Times crossword. Unfortunately, without any specific clues or context, it is difficult to determine which mathematician is being referred to. There have been several mathematicians who have had tests or concepts named after them, such as the Pythagorean theorem named after Pythagoras or the Fibonacci sequence named after Leonardo Fibonacci. However, without more information, it is not possible to provide a specific answer.

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Answer:

8 cubes

Step-by-step explanation:

1^3=1

(1/2)^3=1/8

1/(1/8)=1*8=8

Answer:

x = - 10, x = - 6

Step-by-step explanation:

x² + 16x + 60 = 0

Consider the factors of the constant term (+ 60) which sum to give the coefficient of the x- ter (+ 16)

The factors are + 10 and + 6 , since

10 × 6 = 60 and 10 + 6 = 16 , then

(x + 10)(x + 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 10 = 0 ⇒ x = - 10

x + 6 = 0 ⇒ x = - 6

Answer:

(8, -7)

Note that B is the midpoint of the segment with endpoints A and the image of A.

Answer:

Step-by-step explanation:

fraction

Answer: The ratio represents the cosine of ∠H = \(\frac{21}{29}\)

Step-by-step explanation:

Given, In right triangle ΔHIJ, the measure of ∠J=90°, HJ = 21, JI = 20, and IH = 29.

To find: The  ratio represents the cosine of ∠H.

According to trigonometry, the cosine of x = \(\frac{\text{side adjacent to x}}{\text{Hypotenuse}}\)

So cosine of \(\angle H=\frac{HI}{HJ}\)

Cosine of \(\angle H=\frac{21}{29}\)

hence, the ratio represents the cosine of ∠H = \(\frac{21}{29}\)

Answer:

(1,8)

Step-by-step explanation:

The values of x in both expression are x ≤ 4.375 and x < -1

From the question, we have the following inequality expression that can be used in our computation:

8x + 21 ≤ 56

This gives

8x ≤ 35

Divide by 8

So, we have

x ≤ 4.375

Secondly, we have

56 < 7(7-x)

Divide by 7

8 < 7-x

This gives

x < 7 - 8

Evaluate

x < -1

Hence, the values of x that makes 56 < 7(7-x) are values less than -1

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Answer:

640.6 m^2

Step-by-step explanation:

Formula

V = (1/3) pi * r^2 * h          Substitute givens into the formula and solve

Givens

V = ?

pi = 3.14

r = 6 m

h = 17 m

Solution

V = (1/3) * 3.14 * 6 * 6 * 17

V = 640.56      

Answer

V = 640.6 m^2 to the nearest 10th

Answer:

16%

Step-by-step explanation:

1) Mean, u = 100 

standard deviation, o = 15

Score specified = x = 115

so, z-score = (x - u)/o

                   = (115 - 100)/15 = 1

From the probability standard normal distribution curve, 84.13% of the test scores falls within 1 SD (z score = 1), so, the percentage of test scores below 115 is 84.13%, so, for the percentage of test scores of 115 or higher = 100% - 84.13% = 16%.

Therefore, the correct answer is 16%.

Answer:

19 days

Step-by-step explanation:

I can't believe she's getting a discount! A Nintendo Switch usually costs $299.99 MSRP! She's getting basically $50 off!

The truth values of the statement are

a) Q(Denver, Colorado) is true

b) Q(Detroit, Michigan) is false

c) Q(Massachusetts, Boston) is true

d) Q(New York, New York) is false

In this case, we are considering statements of the form "x is the capital of y," where x and y are specific places. These statements can have different truth values, depending on whether they are true or false. Let's explore the truth values of some specific examples.

a) Q(Denver, Colorado)

This statement asserts that Denver is the capital of Colorado. Is this true or false? Well, the capital of Colorado is actually Denver, so this statement is true. Therefore, the truth value of Q(Denver, Colorado) is true.

b) Q(Detroit, Michigan)

This statement asserts that Detroit is the capital of Michigan. Is this true or false? Actually, Lansing is the capital of Michigan, not Detroit. Therefore, this statement is false. The truth value of Q(Detroit, Michigan) is false.

c) Q(Massachusetts, Boston)

This statement asserts that Boston is the capital of Massachusetts. Is this true or false? Yes, Boston is indeed the capital of Massachusetts, so this statement is true. The truth value of Q(Massachusetts, Boston) is true.

d) Q(New York, New York)

This statement asserts that New York is the capital of New York. Is this true or false? Actually, Albany is the capital of New York, not New York City. Therefore, this statement is false. The truth value of Q(New York, New York) is false.

So, as we can see, the truth values of these statements depend on the specific relationships between x and y. When x is indeed the capital of y, the statement Q(x, y) is true, and when x is not the capital of y, the statement is false.

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Answer:

abde

Step-by-step explanation:

There are 70 different lunch specials possible.

Calculating the sum of two or more numbers is the process of multiplication. 'A' multiplied by 'B' is how you express the multiplication of two numbers, let's say 'a' and 'b'.

To determine the number of different lunch specials possible, we need to multiply the number of choices for each course.

There are 7 choices for the appetizer, 10 choices for the entree, and 1 choice for the dessert. Therefore, the total number of different lunch specials possible is:

7 x 10 x 1 = 70

So there are 70 different lunch specials possible.

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8. -a+b-7

9. m=(y-b)/x

Answer:

first one: C

second one: A

Step-by-step explanation:

4a - 5 + 3b - 2 - 2b - 5a

combine a terms:

-a - 5 + 3b - 2 - 2b

combine b terms:

-a - 5 + b - 2

combine numbers:

-a  + b - 7 (this is option c)

_____________________

y = mx + b, solve for m

subtract b from both sides:

y - b = mx + b - b

y - b = mx

divide both sides by x:

(y - b)/x = mx/x

m = (y - b)/x (this is option a)

Answer: ph+2b

Step-by-step explanation:

Answer:

920 ft²

Step-by-step explanation:

2 triangles + 3 rectangles

2(½×15×8) + 20(17+8+15)

120 + 800

920