What is the value of y?
Y/ 1/5=20

Answer:

2:3

Step-by-step explanation:

First, create the ratio by putting the numbers together:

There are 4 red and 6 blue marbles:

4:6

Since both of these are divisible by 2, it can be simplified:

4:6

2:3

So, the ratio of red marbles to blue marbles is 2:3

Answer: 4 to 6 marbles

Step-by-step explanation:

Answer:

Harry's Farm

Step-by-step explanation:

1/10 as a percentage is 10%

and 45% is greater than 10%.

This algebraic expression represents the same mathematical relationship as the original English phrase.

To translate the English phrase "the quotient of the product of 6 and 6r, and the product of 8s and 4" into an algebraic expression, we need to first identify the mathematical operations involved and then convert them into symbols.

The phrase is asking us to divide the product of 6 and 6r by the product of 8s and 4. In mathematical terms, we can represent this as:

(6 × 6r) / (8s ×4)

Here, the symbol "*" represents multiplication, and "/" represents division. We multiply 6 and 6r to get the product of 6 and 6r, and we multiply 8s and 4 to get the product of 8s and 4. Finally, we divide the product of 6 and 6r by the product of 8s and 4 to get the quotient.

We can simplify this expression by dividing both the numerator and denominator by the greatest common factor, which in this case is 4. This gives us the simplified expression:

(3r / 2s)

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The English phrase "the quotient of the product of 6 and 6r, and the product of 8s and 4" can be translated into an algebraic expression as follows: (6 * 6r) / (8s * 4)

Let's break down the expression:

Therefore, the complete expression becomes: 36r / 32s

In this expression, the product of 6 and 6r is calculated first, which is 36r. Then the product of 8s and 4 is calculated, which is 32s. Finally, the quotient of 36r and 32s is calculated by dividing 36r by 32s.

This expression represents the quotient of the product of 6 and 6r and the product of 8s and 4. It signifies that we divide the product of 6 and 6r by the product of 8s and 4.

In algebra, it is important to accurately represent verbal descriptions or phrases using appropriate mathematical symbols and operations. Translating English phrases into algebraic expressions allows us to manipulate and solve mathematical problems more effectively.

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Answer:

98 cm

Step-by-step explanation:

sum the parts of the ratio , 2 + 4 + 7 = 13 parts

divide perimeter by 13 to find the value of one part of the ratio.

182 ÷ 13 = 14 cm ← value of 1 part of the ratio , then

2 parts = 2 × 14 = 28 cm

4 parts = 4 × 14 = 56 cm

7 parts = 7 × 14 = 98 cm

the longest side is 98 cm

The distance between the translated points C and D is 5 units

From the question, the coordinates are given as

A (-2,3) , B (3,3) , C (4,6) , and D (-1 , 6)

The sequence of transformations is given as

The above sequence of transformations are rigid transformations.

This means that the lengths are preserved

In other words,

CD = C'D'

So, we have the distance to be

Distance = √[(x₁ - x₂)² + (y₁ - y₂)²]

Where

(x, y) = C (4,6) , and D (-1 , 6)

So, we have

Distance = √[(4 + 1)² + (6 - 6)²]

Evaluate

Distance = 5

Hence, the distance is 5 units

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I think that for a its 1.12 and for b its 39424

100 + 12 = 112
112/100 = 1.12

35200 * 1.12 = 39424

Answer:

19

Step-by-step explanation:

If I'm being honest I just looked it up.

(a) The population in 2022 cannot be determined with the given information.

(b) The logarithmic form of 6^7 = 279936 is log base 6 of 279936 = 7.

(a) To find the population in 2022, we need additional information such as the growth rate or any relevant data about population changes between 2004 and 2022. Without this information, we cannot determine the population in 2022 solely based on the data provided.

(b) The logarithmic form allows us to express an equation in terms of a logarithm. For the equation 6^7 = 279936, we can rewrite it in logarithmic form as log base 6 of 279936 = 7.

In other words, if we raise 6 to the power of 7, it equals 279936. The logarithmic form tells us that the exponent we need to raise the base 6 to in order to obtain 279936 is 7. Logarithms provide a useful way to solve equations and analyze exponential relationships.

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Answer:  We can use the concept of rates to solve this problem.

A rate is a ratio of the amount of work done to the amount of time it takes to do the work. We can find the rate of work for the 4 painters by dividing the number of rooms they painted by the number of hours it took them:

Rate = Rooms painted / Hours

Rate = 12 rooms / 8 hours = 1.5 rooms per hour

Now we can use this rate to find out how long it will take 7 painters to paint 21 rooms. To do this, we'll use the formula:

Time = Rooms / Rate

Time = 21 rooms / 1.5 rooms per hour = 14 hours

So it would take 7 painters working at the same efficiency as the 4 painters 14 hours to paint 21 rooms.

Step-by-step explanation:

The equation of the tangent line to the curve are  \(y=x-1 , y=\frac{xe-e^{2}+8 }{e}\).

It is required to find the solution.

A tangent is a line that touches the edge of a curve or circle at one point, but does not cross it. The tangent line to a curve at a point is that straight line that best approximates (or “clings to”) the curve near that point.

Given:

\(y=8\frac{lnx}{x} \\\\y'=8(\frac{1/x*x-lnx*1}{x^{2} } \\\\y'=\frac{1-lnx}{x^{2} }\)

Now, we find the slope of the tangent by inserting the point (1,0) into the derivative.

\(m_{tangent}=\frac{1-ln1}{1^{2} }\\\\m_{tangent}=1-0/1\\\\m_{tangent} =1\)

We can now find the equation, because we know the slope and a point (1, 0).

\(y-y_{1} =m(x-x_{1} )\\\)

y-0=1(x-1)

y=x-1

We can now find the equation, because we know the slope and a point (e, 8/e).

\(y-y_{1} =m(x-x_{1} )\\\\y-8/e=1(x-e)\\\\y=\frac{xe-e^{2}+8 }{e}\)

Therefore, the equation of the tangent line to the curve are  \(y=x-1 , y=\frac{xe-e^{2}+8 }{e}\).

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Answer:

f(x)=x²-2x-2

Step-by-step explanation:

f(x)=ax²+bx+c

f(0)=-2 => c= -2

f(1)= -3=> a+b-2=-3; a+b=-1

f(2)= -2; 4a+2b-2=-2; 4a+2b=0; 2a+b=0

a+b=-1 and 2a+b=0

2a+b-(a+b)=0+1=> a=1

2+b=0=> b=-2

f(x)=x²-2x-2

Answer:

f(1)=-8

Step-by-step explanation:

Value of a function

Given a function expressed as y=f(x), where x is the independent variable, and y is the dependent variable, we can give x any desired value in the domain of f.

We are given the function

\(f(x)=-4x^2-x-3\)

To find f(1), we replace the variable x for the value 1, and we get:

\(f(1)=-4(1)^2-(1)-3\)

\(f(1)=-4*1-1-3\)

\(f(1)=-4-1-3=-8\)

Thus, f(1)=-8

Option B is Correct. An specific place in space is called a point. A dot indicates a point.

A point in space is a location. No length, width, or thickness exist in a point. In geometry, a dot stands in for a point. We typically use a (capital) letter to name a point. The simplest basic geometric object is a point. It is named with a capital letter and symbolised by a dot.

A point has no size and solely represents position (that is, zero length, zero width, and zero height). In a line, a line segment has two distinct endpoints. The line segment's length, which is the separation of two fixed points, is constant.

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Correct Question:

An exact location in space is called a _______

A. Line

B. Point

C. Circle

D. Line segment

The present values for the given future values, interest rates, and number of periods are as follows:

To calculate the present values, we can use the present value formula, TVM keys on a calculator, or the TVM function in a spreadsheet.

The present value represents the current value of a future cash flow, taking into account the interest rate and time. The present value formula, PV = FV × (1 + r)^(-n), can be used to calculate the present value manually. However, for convenience, financial calculators or spreadsheet functions like TVM can automate this calculation.

Using the TVM keys on a calculator or the TVM function in a spreadsheet, you can input the future value, interest rate, and number of periods to obtain the present value directly. The calculator or spreadsheet will perform the necessary calculations based on the provided inputs. The resulting present values will reflect the discounted values of the future cash flows, adjusted for the time value of money and the specified interest rates.

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Answer:

C.540 square cm

Step-by-step explanation:

The object is 6 times as big as the scale drawing. The area of the scaled object , to find the area of the object.. you have to multiply the area of the scaled object by the scale factor squared

15×6^2=15×36=540

The area of the object ia 540 square centimeters

Answer: c. 540

Step-by-step explanation:

Answer:

the answer is 69.3

Step-by-step explanation:

Answer:

4 mph

Step-by-step explanation:

yard → mile = divide the length value by 1760

7040 / 1760 = 4 miles per hour

Both the independent and dependent variables use nominal scale properties, the most appropriate statistical test would be the Chi-square test.

The Chi-square test is used to analyze the association between two categorical variables and determine if there is a significant relationship or difference between them. It compares the observed frequencies of different categories with the expected frequencies under the assumption of independence. By conducting a Chi-square test, you can assess the independence or association between the two nominal variables and determine if the observed frequencies differ significantly from what would be expected by chance.

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Answer:

-232.5

Step by Step Explanation:

Answer: 5.45 ft

Step-by-step explanation:

Given

The length of the ladder is 8 ft

Inclination ladder makes with the ground is \(43^{\circ}\)

Suppose ladder reaches up to a height of h

From the figure, we can write

\(\Rightarrow \sin 43^{\circ}=\dfrac{h}{8}\\\\\Rightarrow h=8\sin 43^{\circ}\\\Rightarrow h=5.45\ ft\)

The ladder reaches up to a height of 5.45 ft

The value of the test statistic used to test the claim is -2.00.

And, at a significance level of 0.05, we fail to reject the null hypothesis and conclude that we do not have sufficient evidence to support the claim that the mean GPA for Psychology students at the college is equal to 3.2.

Now, If a two-sided test of hypothesis is conducted at a 0.05 level of significance and the test statistic resulting from the analysis was 1.23, the potential type of statistical error is Type II error.

A Type II error occurs when we fail to reject a false null hypothesis, meaning that we conclude there is no significant difference or effect when there actually is one.

To answer the second question, we can perform a one-sample t-test to test the claim that the mean GPA for Psychology students at a certain college is less than 3.2.

The hypotheses are:

H₀: μ = 3.2

Ha: μ < 3.2

where μ is the population mean GPA.

We can use the t-statistic formula to calculate the test statistic:

t = (x - μ) / (s / √n)

where, x is the sample mean GPA, s is the sample standard deviation, n is the sample size, and μ is the hypothesized population mean.

Substituting the given values, we get:

t = (3.1 - 3.2) / (0.35 / √49)

t = -0.10 / 0.05

t = -2.00

Therefore, the value of the test statistic used to test the claim is -2.00.

Since this is a one-tailed test with a significance level of 0.05, we compare the t-statistic to the critical t-value from a t-table with 48 degrees of freedom.

At a significance level of 0.05 and 48 degrees of freedom, the critical t-value is -1.677.

Since the calculated t-statistic (-2.00) is less than the critical t-value (-1.677), we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the mean GPA for Psychology students at the college is less than 3.2.

To calculate the p-value of the test, we can perform a one-sample t-test using the formula:

t = (x - μ) / (s / √n)

where x is the sample mean GPA, μ is the hypothesized population mean GPA, s is the sample standard deviation, and n is the sample size.

Substituting the given values, we get:

t = (3.1 - 3.2) / (0.35 / √49)

t = -0.10 / 0.05

t = -2.00

The degrees of freedom for this test is 49 - 1 = 48.

Using a t-distribution table or calculator, we can find the probability of getting a t-value as extreme as -2.00 or more extreme under the null hypothesis.

Since this is a two-sided test, we need to find the area in both tails beyond |t| = 2.00. The p-value is the sum of these two areas.

Looking up the t-distribution table with 48 degrees of freedom, we find that the area beyond -2.00 is 0.0257, and the area beyond 2.00 is also 0.0257. So the p-value is:

p-value = 0.0257 + 0.0257

p-value = 0.0514

Rounding to three decimal places, the p-value of the test is 0.051.

Therefore, at a significance level of 0.05, we fail to reject the null hypothesis and conclude that we do not have sufficient evidence to support the claim that the mean GPA for Psychology students at the college is equal to 3.2.

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The type of sampling method in which a sample frame is divided into groups, which are highly similar to the other

According to the given question, we are asked to show the name which is given to the type of sampling method in which a sample frame is divided into groups, which are highly similar to the other.

As a result of  this, when a sample frame is divided into groups which are very similar to each other, then this is a simple random sampling.

In this method, we can see that there are different types of random sampling techniques which includes:

Therefore, the correct answer is Simple random sampling.

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The knowledge of place value helped in solving 273÷13 with a rectangular model developed by Carter

The part labelled A is 26 tens

The part labelled B is 13 units

The part labelled C is 13 ones

information given in the question

A rectangle is divided into two sections by a vertical line

The left section is labeled inside with 260

The left edge of the rectangle is labeled 13

other information is in the attached diagram

How to used the model

Carter's model is a rectangle of length 273 and breadth 13.

273 / 13 = 21

This means that dividing the length into 13 places each unit is 13

273 - 13 = 260

hence the 260 represents 20 units, since one unit is subtracted

The knowledge of place value help to get the numbers to be arranged in tens and ones

putting the numbers in tens is done by dividing by 10

= 260 / 10

= 26

hence, A in tens is equivalent to 26

putting the numbers in ones is dine by dividing by 1

C = 13 / 1

C = 13 ones

a unit is 13, B = 13

B covers same space as C so they are equal

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Answer:

x≤61/12

Step-by-step explanation:

distribute the -3

8-12x+3≥-49

add like terms

12-12x≥-49

subtract 12 from both sides

-12x≥-61

divide by -12, when you divide by a neg the lessthan/greaterthan sign flips

x≤61/12

Let's solve the given problem: the sum of two numbers is 13, and their difference is 3. By setting up a system of equations and solving them simultaneously, we can find the two numbers. The numbers are 8 and 5.

Let's represent the two numbers as x and y. We are given that the sum of the two numbers is 13, so we can write the equation x + y = 13. Additionally, the difference between the two numbers is 3, which gives us the equation x - y = 3. To find the values of x and y, we can solve these two equations simultaneously.

One approach is to eliminate one variable by adding the two equations together. Adding the equations (x + y = 13 and x - y = 3) eliminates the y term, resulting in 2x = 16. Solving for x, we find x = 8. Substituting this value back into one of the original equations (x + y = 13), we can solve for y. Thus, 8 + y = 13, which gives y = 5.

Therefore, the two numbers are 8 and 5. The number 8 represents x, and 5 represents y. These numbers satisfy both the condition that their sum is 13 (8 + 5 = 13) and their difference is 3 (8 - 5 = 3).

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Answer:

25 is the answer.....

25 is the answer

Therefore , the value of the given problem of trigonometry comes out to be  x = 2 √3.

Trigonometry is the branch of mathematics that studies the relationship between triangle side length The field was first developed in the Classical era, most likely in the third century BC, as a product of the fusion of geometry and astronomy research. Certain geometric equations and potential applications to calculations are covered in precise methods to mathematics. In trigonometry, there are six typical trigonometric operations. Sine, quadrature, tangent, secant, etc. are some of the names and acronyms that they go by (csc). Trigonometry is the study of triangle properties, particularly those of right triangles. However, understanding about the properties of all polygons is a necessary part of mastering geometry.

Here,

Given : Let x be the given

2 is the base

Using trigonometric ratio comes out to be :

=> Tan 30 = 2/x

=> 1/√3 = 2/x

=> x = 2 √3

Therefore , the value of the given problem of trigonometric comes out to be  x = 2 √3.

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the answer is 614.

sorry if u didn’t get it right

Answer:614

Step-by-step explanation:did the test

Developing strategies for remembering facts is essential for children before they engage in drill and practice activities to develop fluency. By establishing these strategies, children can effectively learn, retain, and recall information, ultimately enhancing their performance during practice sessions.

Yes, it is important for children to develop strategies for remembering facts before engaging in drills and practice to develop fluency. By doing so, children can enhance their ability to recall information more quickly and accurately, making it easier for them to perform well on tests and assignments. Strategies such as visualizing, chunking, and using mnemonic devices can help children remember information more effectively. Once these strategies are established, drill and practice can then be used to further reinforce their understanding and speed up their recall time. This approach can ultimately lead to improved academic performance and a stronger foundation for learning.

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Answer:

A

Step-by-step explanation:

the equation of a circle in standard form is

(x - h )² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 3, 6 ) and r = 2 , then

(x - (- 3) )² + (y - 6)² = 2² , that is

(x + 3)² + (y - 6)² = 4