need a little help with this problem

The least positive number with this property is given as follows:

N = 280.

A number N gives remainder 0 when divided by 8, it gives remainder 0, when divided by 7 and it is an even multiple of 5, hence the number is multiple of these 3 numbers.

Before obtaining the number, we must obtain the least common multiple of 8, 7 and 5, factoring them by prime factors as follows:

8 - 7 - 5|2

4 - 7 - 5|2

2 - 7 - 5|2

1 - 7 - 5|5

1 - 7 - 1|7

1 - 1 - 1.

Hence:

lcm(8,7,5) = 2³ x 5 x 7 = 280.

280 is an even multiple of 5, as it is an even number, hence it is the least positive number N with the property in this problem.

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Answer:

I think its 19.75

Answer:

2

Step-by-step explanation:

Subsitute Y in the equation. (6)^2-5(6)-4. 36-30-4=2

Answer:

(2, 1)

Step-by-step explanation:

In a reflection across the x-axis, the x coordinate will stay the same but the y coordinate will be the negative version of the original number.

This means (2, -1) will change to (2, 1)

Answer:

2,1

Step-by-step explanation:

As ratio is not given, we cannot prove that they are scaled copy.

Corresponding portions, or parts that are at the same location in relation to the remainder of each figure, exist in both the original figure and its scaled copy. These components could be angles, points, or segments. Polygon 2, for instance, is a scaled-down version of Polygon 1. There is a point in Polygon 2 for each point in Polygon 1.

Given,

Polygon ZSCH is a Scaled copy of Polygon XJYN.

We simply calculate the ratio of the lengths of the two corresponding sides of two polygons to determine the scale factor. The scaling factor is known as such and the polygons are similar if the ratio is the same for all matching sides.

As ratio is not given, we cannot prove that they are scaled copy.

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Answer:

16.666%

Step-by-step explanation:

100/6=16.66

Answer:

I don't get this..

Step-by-step explanation:

The observation of the pattern is discussed below.

When we calculate the squares of the numbers from 1 to 10 and observe the digits at the one's place of each square, we notice a pattern:

1²=1

2²=4

3²=9

4²=16

5²=25

6²=36

7²=49

8²=64

9²=81

10²=100

If we focus on the digits at the one's place, we can see that they form a repeating pattern: 1, 4, 9, 6, 5, 6, 9, 4, 1, 0. This pattern repeats itself as we calculate the squares of higher numbers.

This observation is known as the "digit at one's place pattern" or the "units digit pattern." It occurs because the square of any number depends only on the digit at the one's place of that number. Hence, when we square numbers that have the same digit at the one's place, we get the same digit at the one's place in the result.

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Answer:

A. 1mm = 5mi

Step-by-step explanation:

20 mi divided by 4 mm would simplify down to 5 mi per 1mm. If there is 4 mm then there is 5mi*4mm which equals out to 4 mm = 20 mi.

A scale of the map is the relationship between the distance on the map to the actual distance. The scale of the map is 1 mm: 5 miles (ml). Thus the option A is the correct option.

To find out the scale of the map, we have to know about scaling of map.

The scaling of map is the ratio or relationship between the distance of the map to the original distance.

Given information-

The distance of the two houses on the ground is 20 miles.

The distance of the two houses on the map is 4 mm.

Suppose the scale of the map is \(s\).

As the 20 miles distance on the ground is same as the 4 mm distance on the map.

Thus the scale of the map can be given as,

\(s=\dfrac{4\rm mm}{20\rm miles} \\s=\dfrac{1\rm mm}{5\rm miles}\)

Hence the scale of the map is 1 mm: 5 miles (ml). Thus the option A is the correct option.

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Answer:

60 mg

Step-by-step explanation:

Given that:

Recommended daily allowance for the Vitamin = 50mg

Drink contains 120% of the recommended daily allowance ;

Number of milligram of the Vitamin contained in the drink is :

120% of recommended daily allowance

(120 /100) * 50

1.2 * 50

= 60 mg

Answer:

Step-by-step explanation:

Exchange rates are the rates at which one currency can be exchanged for another currency. They represent the value of one currency relative to another currency.

Answer: fx + gx

 f(x) =x^2 -13x + 36

g(x) = x - 9

Answer:

x = 8, 16

Step-by-step explanation:

x + 4 = 12

x = 12- 4

x = 8

x - 4 = 12

x = 12 + 4

x = 16

The y-coordinate of -3f(x-1) when x = 0 is -63

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

The table of values

So, we have

-3f(x - 1)

When x = 0, we have

y = -3f(0 - 1)

This gives

y = -3f(-1)

From the table, we have

y = -3 * 21

Evaluate

y = -63

Hence, the y-coordinate is -63

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Answer:

Unlike the customary measurement system in the United States, the metric system is based on tens. A liter, for example, is ten times the size of a deciliter, and a centigram is ten times the size of a milligram. The customary system in the United States does not include the concept of ten. A foot is 12 inches long, a yard is 3 feet long, and a mile is 5,280 feet long.

Answer:

the slope is 1

Step-by-step explanation:

Answer:

Iris weighs 55 pounds, Ivan weighs 65 pounds.

Step-by-step explanation:

Divide 120 by 2: 60

Then make the 10 pound difference by adding and subtracting 5 to 60 for each answer: 55 and 65.

Iris = 55 pounds

Ivan = 65 pounds

Let x be Iris and y be Ivan.

x+ y = 120

y-10+ y = 120

2y - 10 = 120

2y = 120 + 10

2y = 130

y = 130/2

y = 65 pounds

x = y-10

= 65-10

x = 55 pounds

Answer:

Almost equals 28°

Step-by-step explanation:

cos(x)= 12/18

x= cos^-1 (12/18)

So it equals 48.1896°

The direct variation equation y = -1/2x have k as -1/2 . The graph is below

Direct variation exists between any two variables when one quantity is totally dependent on the other i.e. if one quantity increases with respect to the other quantity and vice versa.

It is the relationship between two variables where one of the variables is a constant multiple of the other. Since the two variables are directly related to each other it is also termed as directly proportional.

When two quantities are directly proportional to each other or are in direct variation they are represented using the symbol "∝"

Two quantitates will written as y ∝ x

We replace "∝" be constant "k"

so , y = kx

According to the question,

y = -1/2x

Here, k = -1/2

Putting , x = 1

=> y = -1/2(1) => y = -1/2

Putting , x = 2

=> y = -1

Putting , x = 4,

=> y = -2

Plotting these points in graph

The Graph of direct variation is below

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Answer:

15% 30% 50% 75% 89%

Step-by-step explanation:

u change 0.15 to a function 15/100 then the one hungred below is persent

Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.

Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.

How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.

Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.

The weight per carton is 55 pounds.

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Answer:

Check the proof below

Step-by-step explanation:

try to verify from RHS to LHS

(Tan a + tan b) / (tan a - tan b)

= (sin a / cos a + sin b /cos b) / ( sin a/ cos a - sin b/ cos b)

= (sin a cos b + cos a sin b)/ (sin a cos b - cos a sin b)

= sin (a+b) / sin (a-b)

Fyi

sin(A+B) = sinAcosB+cosAsinB

sin(A-B) = sinAcosB-cosAsinB

The horizontal distance the ball travelled is 2.73 m.

A projectile is any object that is moving in space under the influence of gravity and its momentum. The horizontal distance covered by a projectile from its point of projection is called range. It can be determined by;

R = U\(\sqrt{\frac{2H}{g} }\)

where u is the initial speed of the object, H is the height of projection and g is the gravitational constant.

So that in the information given, we can determine the range as;

R = U\(\sqrt{\frac{2H}{g} }\)

  = 35\(\sqrt{\frac{2*0.39}{10} }\)

  = 35*0.078

  = 2.73

R = 2.73 m

The horizontal distance the ball has travelled is 2.73 m.

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Model B is appropriate since the relationship between x and log y is linear. Hence, option E is the correct answer to this question.

The conclusion can be made based on the residual plot of Model B, which shows a linear pattern, indicating a good fit between the model and the data.

On the other hand, the residual plot of Model A shows a non-linear pattern, suggesting that the relationship between x and y may not be well-represented by a linear model.

By taking the logarithm of one or both of the variables, it may be possible to linearize the relationship and obtain a better model fit. Here, Model B, which models the relationship between x and log y, appears to be the more appropriate model.

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The complete question is -

Two variables, x, and y, were measured for a random sample of 25 subjects, and two separate regression models were fit to the data. The least squares estimation of the parameters in Model A yielded the following equation and residual plot. The least squares estimation of the parameters in Model B yielded the following equation and residual plot. Which of the following conclusions is correct?

(a) Model A is appropriate since the relationship between x and y is linear.

(b) Model B is appropriate since the relationship between x and y is linear.

(c) Model A is appropriate since the relationship between log x and log y is linear.

(d) Model A is appropriate since the relationship between log x and y is linear.

(e) Model B is appropriate since the relationship between x and log y is linear.

Answer:

  b.  $154,810

Step-by-step explanation:

You want to know the price of a home that can be purchased for a monthly payment of $879.32 on a 30-year loan at 5.5%.

The given table tells you the multiplier m used to find the monthly payment p from the loan amount P for different time periods and interest rates.

  p = (P/1000)×m

The table value for a 30-year loan at 5.5% is m = 5.68. Solving the equation for P, we have ...

  1000p/m = P

  1000(879.32/5.68) = P ≈ 154,809.86 ≈ 154810

You qualify for a loan of $154,810.

__

Additional comment

The multiplier 5.68 is found on row 2 (5.5%) of column 4 (30 years).

By answering the presented question, we may conclude that As a result, equation the answer is (b) $154,810.

A mathematical equation is a formula that connects two statements and denotes equivalence with the equals symbol (=). An equation is a mathematical statement that shows the equality of two mathematical expressions in algebra. In the equation 3x + 5 = 14, for example, the equal sign separates the variables 3x + 5 and 14. A mathematical formula describes the connection between the two sentences that occur on opposite sides of a letter. The symbol and the single variable are frequently the same. As in 2x - 4 Equals 2, for instance.

To establish the purchase price of a property, we must use the monthly payment and the table supplied to determine the mortgage amount that corresponds to the monthly payment.

According to the data, the monthly payment per $1000 of mortgage for a 30-year fixed mortgage at a 5.5% interest rate is $5.68.

Hence, to calculate the mortgage amount for a $879.32 monthly payment, we may apply the following formula:

Mortgage amount = monthly payment / mortgage payment per $1000

$879.32 mortgage amount / $5.68 per $1000

Loan amount = $154,810

As a result, the purchasing price of a house is $154,810.

As a result, the answer is (b) $154,810.

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The solutions for the equation sin(θ) = 0.4566 in the interval [0, 2π) are θ = 0.477, 2.664 radians (rounded to the nearest hundredth).

To find all solutions of the equation sin(θ) = 0.4566 in the interval [0, 2π), follow these steps:
1. Find the principal angle:
To find the principal angle, use the inverse sine function (sin^(-1)).
θ1 = sin^(-1)(0.4566)
2. Calculate the principal angle:
θ1 ≈ 0.477 radians (rounded to the nearest hundredth)
3. Find the other angle in the interval [0, 2π) that has the same sine value:
Since sine is positive in both the first and second quadrants, we need to find the second quadrant angle.
θ2 = π - θ1
4. Calculate the second angle:
θ2 ≈ π - 0.477 ≈ 2.664 radians (rounded to the nearest hundredth)
5. Write the final answer:
The solutions for the equation sin(θ) = 0.4566 in the interval [0, 2π) are θ = 0.477, 2.664 radians (rounded to the nearest hundredth).

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Answer:

first find the value of 3 squared.

3 x 3

now multiply.

It would be 9.

Now multiply by 2.

2 x 9 = 18

Finally, subtract.

18 - 8 = 10

▬▬▬▬▬▬▬▬

Answer:

27,000 feet

Step-by-step explanation:

Let \(x\) be the actual length of the pipeline, in feet.

Set up the following proportion:

\(\displaystyle\\\frac{1}{2,000}=\frac{13.5}{x}\)

Cross-multiplying yields \(x=13.5\cdot 2,000=\boxed{27,000\text{ ft}}\)