which is the distance between 1, -4 and 1, 18

Answer:

x=4

Step-by-step explanation:

The solution is where the two lines intersect

f(x) = g(x) is where x=4 and y = 2

The x =4 is value where f(x) = g(x)

Approximately a dog eats 0.7 pounds of food in a day.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Michelle's dog eats 10 pounds of dog food every 2 weeks.

We know that, in 2 weeks there are 14 days.

Number of pounds of food a dog eats in day = Total pounds of food/Number of days

= 10/14

= 0.7

Therefore, approximately a dog eats 0.7 pounds of food in a day.

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The missing operations from the given equations would be:

To get - 6, you would need to divide 48 by a negative number which is - 8 :

= 48 / - 8

= - 6

The same applies to getting - 5 from - 40. You need to divide with a positive 8 this time because 40 is already negative :

= - 40 / 8

= - 5

The operation for 12 ? ( -2) = 14 needs to be a subtraction because two subtraction signs would become positive:

= 12 - - 2

= 12 + 2

= 14

For 18 ? ( - 12 ) = 6

= 18 + ( - 12 )

= 18 - 12

= 6

The same applies to 18 ? ( - 20 ) = 2

= 18 + ( - 20 )

= 18 - 20

= - 2

The last operation would be:

= 22 x - 0. 5

= - 11

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The weight of each red marble is 120/5= 24 grams.

The bag contains 25 marbles and the mean weight is 16 grams.

In the bag, there are yellow, green, and red marbles.

Let us suppose the number of red marbles is x, and let the weight of each red marble be y grams.

Hence the total weight of the bag is: y × x + 10 × 12 + 20 × 8 = 25 × 16

y × x = 25 × 16 - 10 × 12 - 20 × 8

y × x = 400 - 120 - 160

y × x = 120 grams

Therefore, the weight of each red marble is 120/x grams.

x is 25-12-8= 5

The weight of each red marble is 120/5= 24 grams.

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Longest to shortest, the boards would be listed as follows: 6 feet 1 inch, 5 feet 9 inches, 5 feet 6 inches, 5 feet 2 inches, and 4 feet 8 inches.To list the boards in order from longest to shortest based on their lengths, we have five boards with the following measurements:

5 feet 6 inches, 5 feet 2 inches, 4 feet 8 inches, 5 feet 9 inches, and 6 feet 1 inch. We need to arrange the boards in descending order, with the longest board first and the shortest board last. To sort the boards in order from longest to shortest, we need to compare their lengths. The lengths are given in feet and inches, and we can convert them to a common unit for easier comparison. Let's convert all the lengths to inches.

1. 5 feet 6 inches = (5 * 12) + 6 = 66 inches

2. 5 feet 2 inches = (5 * 12) + 2 = 62 inches

3. 4 feet 8 inches = (4 * 12) + 8 = 56 inches

4. 5 feet 9 inches = (5 * 12) + 9 = 69 inches

5. 6 feet 1 inch = (6 * 12) + 1 = 73 inches

Now, we have the lengths in inches: 66 inches, 62 inches, 56 inches, 69 inches, and 73 inches. We can arrange them in descending order:

1. 73 inches (6 feet 1 inch)

2. 69 inches (5 feet 9 inches)

3. 66 inches (5 feet 6 inches)

4. 62 inches (5 feet 2 inches)

5. 56 inches (4 feet 8 inches)

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The monthly paycheck for state income tax is $11,573.33

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

Annual Gross pay = $555,520

He is married with 4 dependents.

So, every month he earns:

monthly earnings = 555,520/12

                               = $46,293.33

Also, he has 4 dependents

= $46,293.33 /4

= $11,573.33

Thus, the paycheck is $11,573.33.

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Answer:

Step-by-step explanation:

I guess it is 65 because the table said so

In situation a, the predictor variable is age, as it is being tested to see if it affects the outcome variable, which is the number of risky behaviors. So, age is the independent variable and the number of risky behaviors is the dependent variable.

In situation b, the predictor variable is the number of family members, as it is being tested to see if it affects the outcome variable, which is the level of education of children. So, the number of family members is the independent variable and the level of education of children is the dependent variable.

It is important to identify the predictor variable and the outcome variable in any study as this helps in understanding the relationship between the two variables and in interpreting the results accurately.

For situation A, the predictor variable is "age," and the outcome variable is "number of risky behaviors." As age increases, the study aims to see if the number of risky behaviors changes.

For situation B, the predictor variable is "number of family members," and the outcome variable is "level of education of children." The study examines whether the children's level of education changes based on the number of family members.

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Answer:c

Step-by-step explanation:6.1 x 10 =61

Step-by-step explanation:

A Part:-

5.03 x 10

So it can be written as :-

\( \dfrac{503 \times \cancel{10}}{ 10\cancel{0}} \)

So, 50.3.

B part:-

5.45 ×10

\( \dfrac{545 \times \cancel{10}}{ 10\cancel{0}} \)

So 54.5.

C part:-

\( \dfrac{61 \times \cancel{10}}{ \cancel{10}} \)

So, 61

\( \dfrac{234 \times \cancel{10}}{10 \cancel{0}} \)

So, 23.4

The point prevalence of brilliance at the end of Week 1 is 0.08 or 8%.

The point prevalence of brilliance at the end of Week 2 is 0.17 or 17%.

The point prevalence of brilliance at the end of Week 3 is 0.33 or 33%.

Using person-weeks as denominator, the incidence of brilliance over the course of the 10-week course is 0.017 or 1.7%

In epidemiology context, brilliance can be calculated through calculating point prevalence, cumulative incidence, and incidence rate. The provided data table can be used to determine the point prevalence, incidence, and incidence rate of brilliance among PHE 450 students. So, the calculations of point prevalence, cumulative incidence, and incidence rate based on the provided data are as follows:

The point prevalence of brilliance at the end of Week 1 can be calculated by the following formula; Point prevalence = Total number of existing cases at a given time ÷ Total population at that time

Student #8 was the only existing case of brilliance at the beginning of Week 1, so the point prevalence of brilliance at the end of Week 1 is; Point prevalence = 1 ÷ 12 = 0.08 or 8%.

The point prevalence of brilliance at the end of Week 2 can be calculated by the following formula; Point prevalence = Total number of existing cases at a given time ÷ Total population at that time

Student #3 and Student #8 were existing cases of brilliance at the beginning of Week 2, so the point prevalence of brilliance at the end of Week 2 is; Point prevalence = 2 ÷ 12 = 0.17 or 17%.

The point prevalence of brilliance at the end of Week 3 can be calculated by the following formula; Point prevalence = Total number of existing cases at a given time ÷ Total population at that time

Student #3, #4, #6, and #8 were existing cases of brilliance at the beginning of Week 3, so the point prevalence of brilliance at the end of Week 3 is; Point prevalence = 4 ÷ 12 = 0.33 or 33%.

The incidence of brilliance can be calculated by the following formula; Incidence = Total number of new cases ÷ Total person-weeks of observation

Student #5 and Student #7 developed brilliance during the 10-week course, so the incidence of brilliance over the course of the 10-week course is; Incidence = 2 ÷ 120 = 0.017 or 1.7%.

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The proof that every prime number greater than 3 is either one or more or one less than a multiple of 6 is shown below .

In the question ,

we have to prove that , "every prime number greater than 3 is either one or more or one less than a multiple of 6 " .

Let n be any prime number , (n≥6) ,

then by division algorithm on n by 6 ,

we get , n = 6q + r , 0 ≤ r < 6 .

n = 6q + 1

n = 6q + 2

n = 6q + 3

n = 6q + 4

n = 6q + 5

n = 6q

If n = 6q , then n is divisible by 6 , that means n is not prime .

If n = 6q + 2 , then n is divisible by 2 , that means n is not prime .

If n = 6q + 3 , then n is divisible by 3 , that means n is not prime .

So , the only possibilities for n are either 6q + 1 or 6q + 5 .

6q + 5 = 6q + (6-1)

= 6(q + 1) - 1

= 6t - 1

Thus , any prime number ≥6 , is either of the form 6q+1 or 6t-1 .

So , any prime number > 3 ,is either one more or one less than a multiple of 6 .

Therefore , the given statement is proved .

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To estimate the number of new users that would be added during time period 7, we can use the Bass diffusion model, which is commonly used to model the adoption of new products or technologies.

The Bass diffusion model is given by the formula:

\(\[N(t) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot t)}}}\]\)

where:

- N(t) represents the cumulative number of adopters at time \(t\).

- p is the innovation parameter, representing the coefficient of innovation.

- q is the imitation parameter, representing the coefficient of imitation.

- e is the base of the natural logarithm.

Given a population size of 67 million, an innovation parameter of 0.005, and an imitation parameter of 0.84 for Color TV, we can substitute these values into the Bass diffusion model and calculate the number of new users added during time period 7.

\(\[N(7) - N(6) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 7)}}} - \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 6)}}}\]\)

Substituting the given values into the equation:

\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)

Evaluating the expression will give us the estimated number of new users added during time period 7.

In LaTeX, the solution can be represented as:

\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)

After evaluating this expression, you will obtain the estimated number of new users added during time period 7.

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we have

Company A = 0 + 0.70m

Company B = 50 + 0.20m

we will find A > B, so

answer: more 100 miles

Answer:

23 Ft

Step-by-step explanation:

Answer:

Since this triangle is isosceles, we know that the base angles are both x so we can write:

x + x + 32 = 180

2x + 32 = 180

2x = 148

x = 74°

Answer:

m∠x = 74°

Step-by-step explanation:

We are given 2 side lengths are are the same. This means that the triangle is an isosceles triangle and the other angle is also x (and congruent to the given x). Therefore,

2x + 32 = 180

2x = 148

x = 74

Answer:

a) \(x(x+3)\)

b) \(2x(x-8)\)

c) \(3x(2+3x^{2})\)

d) \(4x^{2} (3x-1)\)

Step-by-step explanation:

a) \(x^{2} +3x=x(x+3)\)

b) \(2x^{2} -8x=2x(x-8)\)

c) \(6x+9x^{3} =3x(2+3x^{2})\)

d) \(12x^{3} -4x^{2} =4x^{2} (3x-1)\)

Factors of the following algebraic expression are

a. Factors of x² + 3x   are x and x+3

b. Factors of 2x² -8x  are 2, x and ( x-4)

c. Factors of 6x +9x³ are 3, x  and (2 + 3x²)

d. Factors of 12x³ - 4x² are 4, x, x and (3x -41)

The factor of an given algebraic expressions are one or more numbers or linear or other expressions that multiply to form the given algebraic expression and cannot be broken down further into simpler expressions.

For finding factors of an algebraic expression we can simply take out common expressions from all the terms of the expression and try to simplify it.

a. x² + 3x = x( x+3), (taking x common from both terms)

b. 2x² -8x = 2x ( x-4) (taking 2x common from both terms)

c.  6x +9x³ = 3x (2 + 3x²)   ( taking 3x common from both terms)

d.12x³ - 4x² = 4x× x × (3x -41) ( taking 4x²  common from both terms)

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The company need to use for the family size box use a scale factor of 15.625 times greater.

To find the scale factor, we first need to determine the ratio of the volume of the family size box to the volume of the single serving box. The volume of a rectangular prism is given by the product of its length, width, and height. Let's assume the single serving box has dimensions l, w, and h. The volume of the single serving box is then lwh.

The volume of the family size box is 18.75 ounces, and since the single serving box is 1.2 ounces, the scale factor is the ratio of the volume of the family size box to the volume of the single serving box:

(18.75)/(1.2) = 15.625

Therefore, the company needs to use a scale factor of 15.625 to create the family size box from the single serving box. This means that the length, width, and height of the family size box will each be 15.625 times greater than the corresponding dimension of the single serving box.

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The statements that are  true about this study are

This is further explained below.

Generally, a scientific technique is used to create a discovery, test a theory or show an established truth.

In conclusion, The following are accurate claims concerning this study:

Random sampling is used in this investigation. In this investigation, a control group is used. Repeated measurements are employed in this investigation.

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She should mike deposit of  $16610.27 into an account that yields 3% interest compounded annually

what is compound interest?

Interest that is added to a loan or deposit sum is known as compound interest. In our daily lives, it is the notion that is employed the most frequently. Compound interest is calculated for a sum using the principal and interest accrued over time. Compound interest and simple interest differ primarily in this way.

we know that    

The compound interest formula is equal to  

\(A=P {(1 +\frac{r}{n})^{nt} }\)

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=20 years

A=$30000

r=0.03

n=1

substitute in the formula above

\(30000=P {(1 +\frac{0.03}{1})^{1*20} }\)

=> $16610.27

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Answer:

m=7

Step-by-step explanation:

6(4m-3)+6=4(4m+11)

use 6 to open the first bracket and use 4 to open the second bracket

24m-18+6=16m+44

solve the first equation

24m-12=16m+44

collect like terms

24m-16m=44+12

then solve

8m=56

divide both sides by 8

m=56/8=7

HOPE THIS HELPS.

Answer:

m=7

Step-by-step explanation:

Answer:

An arithmetic sequence has a constant difference between each consecutive pair of terms. This is similar to the linear functions that have the form y=mx+b, and geometric sequence has a constant ratio between each pair of consecutive terms. This would create the effect of a constant multiplier.

Answer:

\( \sqrt{950} \)

Step-by-step explanation:

3800=4(x^2)

x^2=950

The number of servings of pasta were in the dish Lois made is 31.67.

Number of servings of pasta were in the dish Lois made = Number of cups of pasta Lois made / A serving of the pasta

= 6 1/3 ÷ 0.2

= 19/3 ÷ 0.2

= 19/3 × 1/0.2

= (19×1) / (3 × 0.2)

= 19/0.6

= 31.6666666666666

Approximately,

Number of servings of pasta were in the dish Lois made is 31.67 servings

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Answer:

1) one more day

2) 250 ml

Step-by-step explanation:

in a leap year-

may = 31 days

june = 30 days

july = 31 days

(92 days)

january = 31 days

february = 29 days

march = 31

(91 days)

so, there is 1 more day.

------

to solve, I will write the value of   2 tablespoons as 30 ml (using the conversion rate provided)

so, 1 curry uses 30 ml.

If you have made 8 curries, you have used 240 (8 × 30 = 240) ml

If you have 10mls left over, that means the full bottle has

used + 10 mls

and we know that we have used 240, so in a full bottle,

there must be 250 (240 + 10) ml

250 ml

hope this helps!! :)

Answer:

\(\textsf {See below :}\)

Step-by-step explanation:

\(\textsf {Question 1}\\\)

\(\textsf {The only difference in a leap year is that February will have 29 days.}\)

\(\implies \textsf {Days in May, June, July = 31 + 30 + 31 = 92}\)

\(\implies \textsf {Days in January, February, March = 31 + 29 + 31 = 91}\)

\(\implies \textsf {Difference = 92 - 91 = 1}\)

\(\textsf {There is 1 more day in May, June, and July combined than}\\\textsf {in January, February, and March combined in a leap year.}}\)

\(\textsf {Question 2}\)

\(\textsf {Oil used in making 1 curry = 2(15) = 30 ml}\)

\(\textsf {Full bottle = 8 curries + 10 ml}\)

\(\textsf {Full bottle = 8(30) + 10}\)

\(\textsf {Full bottle = 240 + 10}\)

\(\textsf {Full bottle = 250 ml}\)

(0.82 , 3.38) is estimate of the population mean weight loss for this diet in standard deviation.

What is standard deviation in math?

mean weight loss = 2.1lb

standard deviation = 4.8lb

sample size n = 40

std error = stdev/sqrt(n) = 4.8/sqrt(40) = 0.76

degrees of freedom = n - 1 = 39

critical value for alpha 0.10 and df 39 = +1.68

margin of error = critical value * std error = +1.68 * 0.76 = +1.28

confidence interval = sample mean + margin of error = 2.1 +1.28 = (0.82 , 3.38)

Yes it is effective since the values > 0mean weight loss = 2.1lb

standard deviation = 4.8lb

sample size n = 40

std error = stdev/sqrt(n) = 4.8/sqrt(40) = 0.76

degrees of freedom = n - 1 = 39

critical value for alpha 0.10 and df 39 = +1.68

margin of error = critical value * std error = +1.68 * 0.76 = +1.28

confidence interval = sample mean + margin of error = 2.1 +1.28 = (0.82 , 3.38)

Yes it is effective since the values > 0

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Answer:

25

Step-by-step explanation:

This is an equilateral triangle so all of its angle measures, and side lengths likewise, are equal.

To find x we can use the following equation:

3x - 5 = 2x + 20 export like terms to the same side of the equation

3x - 2x = 20 + 5 (notice how terms change from "+" to "-" and vice versa)

add/subtract like terms

x = 25

Answer: a= 144. b= 67

Step-by-step explanation:

Angle b and the angle of measure 113 are same side interior angles which sum to 180 (When 2 parallel lines are cut by a transversal, special angles are formed)

113+b=180. Subtract 113 from both sides.

b= 67 degrees

Now that you have b, the interior angles of four sided figures sum to 360.

a+113+67+36=360. Combine like terms.

a+216=360. Subtract 216 from both sides.

a= 144 degrees

Answer:

i think its 125 but dont trust me

Step-by-step explanation:

so i added 25 , 5 , 2 and divided by two since the formula of a triangle is base x height / 2

Answer:

g(x) is shifted 5 units right and 2 units up

Step-by-step explanation:

If f(x) = x  and g(x) = (x-5) + 2

The g(x) = f(x - 5) + 2

So g(x) is shifted 5 units right and 2 units up

Parent function

See

x is decreased by 5

y is increased by 2

Option B