Anna has 15 blue blocks, 18 red blocks, 15 green blocks, and 21 yellow blocks. She has 69 blocks altogether
What is the ratio of red to yellow
A) 6 to 7
B) 6 to 23
C) 5 to 7
D) 5 to 6

The position of  √17 between 4 and 5, which is nearer 5, and the location of 6, which is between 2 and 3, which is nearer 2.

A visual representation of real numbers in a linear manner is a number line. It is a straight line that is divided into intervals or segments, each of which stands for a distinct real number value.

Number lines can be vertical or horizontally oriented, and they can also have a positive or negative orientation. Positive numbers often extend to the right or up, whereas negative numbers typically extend to the left or down. The origin of the number line, or zero, is typically situated in the middle of the line.

The number line is a crucial tool in mathematics since it offers a means of representing numerical relationships visually and carrying out fundamental arithmetic operations. For instance, positive and negative motions along a number line can be used to depict addition and subtraction, respectively, with positive movements denoting addition and negative movements denoting subtraction. On a number line, multiplication and division can alternatively be shown as repeated addition or subtraction.

If we have a number line with the proper markings, we may indicate where the square roots of 17 and 6 are located as follows:

To begin, determine the approximate square root values:

√17 is between 4 and 5, since 4² = 16 and 5² = 25.

√6 is between 2 and 3, since 2² = 4 and 3² = 9.

Place the number √17 closer to 5, between 4 and 5.

Place the number √6 between the numbers 2 and 3, closer to 2.

Since 6 and 17 are not integers and their values are not evenly spaced, it should be noted that their markings will not be evenly spaced on the number line.

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Number line attached below,

Answer:

2(a+3b)-(b+c)=

2(4+3(2))-(2+3)=

2(4+6)-(5)=

2(10)-5=

20-5=

15

Step-by-step explanation:

The value of n (FUGUR) will be;

⇒ n (FUGUR) = 112

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The data of mathematics students is,

60 study French, 30 study French and German

55 study German, 25 study French and Russian

75 study Russian, 35 study German and Russian

12 students study all the three languages.

Now,

Let F, G, R denote the set of students studying French, German and Russian respectively.

And, The data of mathematics students is,

n (F) = 60, n (F ∩ G) = 30

n (G) = 55, n (F ∩ R) = 25

n (R) = 75 , n (G ∩ R) = 35

n (F ∩ G ∩ R) = 12

Since, We know that;

⇒ n (FUGUR) = n (F) + n (G) + n (R) - n (F ∩ G) - n (F ∩ R) - n (G ∩ R)

                        + n (F ∩ G ∩ R)

Substitute all the values, we get;

⇒ n (FUGUR) = n (F) + n (G) + n (R) - n (F ∩ G) - n (F ∩ R) - n (G ∩ R)

                        + n (F ∩ G ∩ R)

⇒ n (FUGUR) = 60 + 55 + 75 - 30 - 25 - 35 + 12

⇒ n (FUGUR) = 112

Thus, The value of n (FUGUR) will be;

⇒ n (FUGUR) = 112

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The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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The volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.

To calculate the volume of the tree stump, we can use the formula for the volume of a cylinder, which is given by:

Volume = π * r^2 * h

Given:

Radius (r) = 20 inches

Height (h) = 0.7 feet

First, let's convert the height from feet to inches since the radius is already in inches. There are 12 inches in 1 foot, so:

Height (h) = 0.7 feet * 12 inches/foot = 8.4 inches

Now, we can substitute the values into the volume formula:

Volume = π * (20 inches)^2 * 8.4 inches

Calculating the volume:

Volume = 3.14159 * (20 inches)^2 * 8.4 inches

≈ 3.14159 * 400 inches^2 * 8.4 inches

≈ 1005.3096 cubic inches

Rounding the volume to the nearest tenth:

Volume ≈ 1005.3 cubic inches

Therefore, the volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.

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Answer:

Well, it's Pythagoras Theorem

hyp²= opp² + adj²

hyp (hypotenuse)

opp (opposite)

adj (adjacent)

Since, we already have hypotenuse and opposite

15²= 9² + adj²

making adjacent the subject of formula

15²-9² = adj²

adj² = 225-81

adj² = 144

make adjacent subject formula by removing the ²

so,

\(adj = \sqrt{144} \)

adj = 12

We can see here that matching the steps for constructing a congruent line segment to their pictures, we have:

Step 1 - Picture a

Step 2 - Picture b

Step 3 - Picture c

Step 4 - Picture c.

Any portion of a line with two ends and a set length is referred to as a line segment. It differs from a line that has neither a beginning nor an end and can be stretched in both directions.

The endpoints of a line segment can be used to define it. The portion of the line that begins at point A and finishes at point B, for instance, is known as the line segment AB.

A ruler or measuring tape can be used to determine the length of a line segment. The distance between two line segments' endpoints is the segment's length.

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Answer:

Step-by-step explanation:

Answer:

  2

Step-by-step explanation:

You want the slope of segment DC given points A, B, C, D are collinear and the rise between B and A is 2 units, while the run is 1 unit.

The slope of a line is the same everywhere on the line. It is the same for segment DC as for segment BA on the same line.

  slope = rise/run = 2/1 = 2

The slope of DC is 2.

<95141404393>

        Thanks for reposting the pertinent question:

        Therefore the SLOPE of DC:

         DC  =   2

        POINTS:  D, C, B, and A  are COLLINEAR

       SLOPE of:  DC  is  Equal (=)  To the SLOPE  of: AB

       AB  =   2/1   =  2

       Therefore the SLOPE of DC:

       DC  =   2

I hope this helps you!

Answer:

317

Step-by-step explanation:

Since all of them are equal 1902/6 = 317

The value of the coin in 2019 would be approximately $132.

To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.

Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:

Value in 2019 = Initial value * (1 + Rate)^n

where Rate is the annual increase rate and n is the number of years between 2010 and 2019.

Plugging in the values:

Value in 2019 = $40 * (1 + 0.169)^9

Value in 2019 ≈ $40 * 2.996

Value in 2019 ≈ $119.84

Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.

However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.

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The correct radical form of b^1/5 is 5^√b.

Square root and nth roots are represented by the symbol "radical," which. a square root is a component of a radical expression, which is an expression.

A number's or an algebraic expression's simplest radical form is referred to as this. When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.

When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.

Explanation:

Convert to radical form using the formula

a^x/n=n^√a^x

5^√b.

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lolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllol

here's a picture of a seal

i hope you like it

Answer:

120

Step-by-step explanation:

multiply 10 times 24

then divide 240 by 2

The solution is : the value of y is 7.

Here, we have,

The perimeter of a rectangle is found by

P = 2 (l+w)

P = 2( 3y+3+2y)

Combine like terms

P = 2(5y+3)

We know the perimeter is 76

76 = 2(5y+3)

Divide each side by 2

76/2 = 2/2(5y+3)

38 = 5y+3

Subtract 3 from each side

38-3 = 5y+3-3

35 = 5y

Divide each side by 5

35/5 = 5y/5

7 =y

We want the length of AD = BC = 2y

AD = 2y=2*y = 14

Hence, The solution is : the value of y is 7.

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The angles in the circle is as follows:

m∠1 = 25 degrees

m∠2 = 12.5 degrees

The angle subtended by an arc of a circle at its centre is twice the angle it subtends anywhere on the circle's circumference.

The measure of an arc is the measure of its central angle. Therefore,

m∠1 = 360 - 160 - 175

m∠1 = 200 - 175

m∠1 = 25 degrees

Therefore, let's find the other angle m∠2.

m∠2 = m∠1 / 2

m∠2 = 25 / 2

m∠2 = 12.5 degrees

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Answer:

  D.  2x -y = 2

Step-by-step explanation:

You want to know the standard-form equation of the line through points (-1, 4) and (2, 2) as shown on the graph.

The graph shows the x-intercept of the line is a=1, and the y-intercept of the line is b=-2. This means the intercept form of the equation is ...

  x/a +y/b = 1

  x/1 +y/(-2) = 1

Multiplying this equation by 2 gives ...

  2x -y = 2 . . . . the standard form equation for the line

__

Additional comment

The standard form equation can also be developed from the coordinates of points on the line:

  (y2 -y1)x -(x2 -x1)y = (y2 -y1)x1 -(x2 -x1)y1

  (2 -(-4))x -(2 -(-1))y = (2 -(-4))(-1) -(2 -(-1))(-4)

  6x -3y = -6 +12

Dividing by 3 gives the standard form equation ...

  2x -y = 2

36q² − 64 = 0

=> 36q² = 0 + 64

=> 36q² = 64

=> q² = 64/36

=> q² = 16/9

=> q = √(16/9)

=> q = √16/√9

=> q = ± 4/3

Answer:

q =±4/3  

Step-by-step explanation:

36q² − 64 = 0

Add 64 to each side

36q² =64

Divide each side by 36

36q² /36 =64/36

q² =64/36

Take the square root of each side

sqrt(q²) =± sqrt(64/36)

q = ±8/6

q =±4/3  

the domain is (-7, 1]

the range is (2, 7]

So the correct option is the third one.

For a given function we identify the domain as the set of the inputs of the function, in this case, represented by the horizontal axis, while the range is the set of the outputs of the function, in this case, represented by the vertical axis.

So, to identify the domain of the function, we just need to find the smallest and largest x-values graphed, these are:

x = -7

x = 1

Then the domain is (-7, 1]

(the parenthesis is because the point (-7, 1) is in an open circle, which means that it does not belong to the graph).

For the range we can do the same thing, but on the vertical axis, the smallest and largest values are:

y = 2

y = 7

So the range is (2, 7]

Then the correct option is the third one.

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The average number of hours that adults spend working each day is 8 hours and Ryan is correct because he got the average of 8 right.

We know that,

The sample mean is a statistic that is computed by taking the arithmetic mean of the values of a variable in a sample. If the sample is taken from probability distributions with a shared expected value, the sample mean is an estimator of that value.

The mean is gotten from the formula;

x' = ∑x/n

Number of hours of work per day are; 6, 7, 8, 9 and 10

Thus; sum up all of it

∑x = 6 + 7 + 8 + 9 + 10

∑x = 40

Mean is; x' = 40/5

x' = 8

Since Ryan concluded that the average is 8 hours,

Therefore,

We can say that Ryan is correct.

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Answer:

\(x(2x+y+5) - 2(x\²+xy+5) + y(x + y) = 5x -10 + y\²\)

Step-by-step explanation:

Given

\(x(2x+y+5) - 2(x\²+xy+5) + y(x + y)\)

Required

Simplify

We have:

\(x(2x+y+5) - 2(x\²+xy+5) + y(x + y)\)

Open brackets

\(x(2x+y+5) - 2(x\²+xy+5) + y(x + y) = 2x\²+xy+5x - 2x\²-2xy-10 + xy + y\²\)

Collect like terms

\(x(2x+y+5) - 2(x\²+xy+5) + y(x + y) = 2x\²- 2x\²+xy-2xy+ xy+5x -10 + y\²\)

\(x(2x+y+5) - 2(x\²+xy+5) + y(x + y) = 5x -10 + y\²\)

Answer:

2.07 x 10^4

Step-by-step explanation:

Answer:

Step-by-step explanation:

so if they both saved up the same amount then add the number of Kevin's money and Christy's money together and you have your answer.  

Answer:

well. 372.

You don't have to buy a house. It doesn't really matter tho

You can live in an apartment or even hotel/motel. Enjoy

Step-by-step explanation:

The length of the second trial will be equal to 2(⁵/₈) miles.

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 two bicycle trails were developed in a new housing development. One trail is 3¹/₂ miles long. The other trail is 3/4 as long.

The length of the second trial will be calculated as,

Length =  3/4 x ( 3¹/₂ )

Length = 2(⁵/₈)

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Answer:

hello your question is incomplete attached below is the complete question

estimating: Ft( -15,40 ) = ( 1.2 + 1.4 ) / 2 = 1.30⁰c

when the actual temperature is -15⁰c and the wind speed is 40 km/h the apparent temperatures increase by 1.3⁰c  that the actual temperature rises

estimating:  Fv ( -15,40 ) = (-0.2 + -0.1 ) / 2 = -0.15⁰c

when the actual temperature -15⁰c and the wind speed is 40 km/h the apparent temperature decreases by about 0.15⁰c for every km/h that the wind speed

Step-by-step explanation:

A) Estimating the values of Ft(−15, 40) and fv(−15, 40)

attached below is a detailed solution

To estimate the value of Ft( -15,40 ) we have to take an average value hence Ft ( -15,40 ) = ( 1.2 + 1.4 ) / 2 = 1.30

and this means that when the actual temperature is -15⁰c and the wind speed is 40 km/h the apparent temperatures increase by 1.3⁰c  that the actual temperature rises

To estimate the value of Fv(-15,40 )  we have to take an average value

hence Fv ( -15,40 ) = (-0.2 + -0.1 ) / 2 = -0.15

and this means that when the actual temperature -15⁰c and the wind speed is 40 km/h the apparent temperature decreases by about 0.15⁰c for every km/h that the wind speed

The base area of the cylinder is 78.54 ft².

The height of the cylinder is 2 ft.

The cylinder has a volume of 157.08 ft cube and the radius of the cylinder is 5 ft.

Therefore, the area of the base of the cylinder can be found as follows:

base area of the cylinder = πr²

base area of the cylinder = 3.1416 × 5²

base area of the cylinder = 3.1416 × 25

base area of the cylinder = 78.54 ft²

Therefore, let's find the height of the cylinder.

volume of the cylinder = πr²h

where

157.08 = 78.54 h

divide both sides by 78.54

h = 157.08 / 78.54

h = 2 ft

Therefore,

height of the cylinder = 2 ft

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Gregor scored 65 points on the Stats exam.

We can use the formula for calculating z-score:

z = (x - μ) / σ

Where

We are given that the population mean (μ) is 75 and the population standard deviation (σ) is 5.

We are also given that Gregor's z-score (z) is -2.

We can plug these values into the formula and solve for x:

-2 = (x - 75) / 5

Multiplying both sides by 5, we get:

-10 = x - 75

Adding 75 to both sides, we get:

x = 65

Hence, the score is 65 points

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\(\text{Let,}\\\\~~~~~~~~y = (\ln 2x )^{\ln 3x}\\\\\implies \ln y = \ln\left[(\ln 2x)^{\ln 3x} \right]\\\\\implies \ln y =\ln (3x) \ln( \ln 2x)\\ \\\implies \dfrac{d}{dx}( \ln y) = \dfrac{d}{dx}\left[ \ln (3x) \ln(\ln 2x) \right]\\\\\implies \dfrac 1y\cdot\dfrac{dy}{dx} =\ln(3x) \dfrac{d}{dx} \ln(\ln 2x) + \ln(\ln 2x) \dfrac{d}{dx}( \ln 3x)\\\\\implies \dfrac{dy}{dx} = \left[\ln(3x) \cdot \dfrac 1{\ln 2x} \cdot \dfrac 1{2x} \cdot 2 + \ln(\ln 2x) \cdot \dfrac 1{3x} \cdot 3\right]y\)

\(\implies \dfrac{dy}{dx} = \left[\ln(3x) \cdot \dfrac 1{\ln 2x} \cdot \dfrac 1{2x} \cdot 2 + \ln(\ln 2x) \cdot \dfrac 1{3x} \cdot 3\right]y\\\\\\\implies \dfrac{dy}{dx} = \left[\dfrac{\ln(3x)}{x \ln(2x)}+ \dfrac{\ln(\ln 2x)}{x}\right](\ln 2x)^{\ln 3x}\)

Answer:

0.5

Step-by-step explanation:

substitute f(0) into f(x) so its
0.5 - 2(0)

which makes it = 0.5

therefore f(x) when x = 0 is 0.5

:)