Mathematics College

Divide the number 484 into two parts in a ratio of 7 : 4. How much bigger is the first number than the second number?

Answers

Answer 1

Answer:

I don't known

Step-by-step explanation:

Answer 2

Answer:

132

Step-by-step explanation:

First, obtain the total of the ratio:

7+4 = 11

Then, make equations:

[tex]\frac{7}{11} =\frac{x}{484}[/tex] and [tex]\frac{4}{11} =\frac{x}{484}[/tex]

Next, solve:

11x = 7*484 → 11x = 3388 → x = 308

11x = 4*484 → 11x = 1936 → x = 176

Finally, find the difference:

308 - 176 = 132

(**If it is asking how many times bigger... 308/176 = 1.75 or [tex]\frac{7}{4}[/tex] )

Related Questions

Find the general solution of y''' + 9y'' + y' − 111y = 0 if it is known that y1 = e−6x cos(x) is one solution.

Answers

Answer:

[tex]\mathbf{y(x) = \dfrac{(c_1 + c_2) \ cos (x)}{e^{6x} }+ \dfrac{i(c_1 -c_2) \ sin (x)}{e^{6x}}+ c_3e^{3\ x}}[/tex]

Step-by-step explanation:

The objective of this question is to solve:

[tex]\dfrac{dy(x)}{dx}+ 9\dfrac{d^2y(dx)}{dx^2}+\dfrac{d^3y(x)}{dx^3}-111y(x) = 0 :[/tex]

Suppose the general solution is proportional to [tex]e^{\lambda x}[/tex] for [tex]\lambda[/tex] is constant; Then:

Let's replace [tex]y(x) = e^{\lambda\ x}[/tex] into the above equation:

i.e.

[tex]\dfrac{d^3}{dx^3}(e ^{\lambda x} )+ 9 \dfrac{d^2}{dx^2}(e ^{\lambda x} ) + \dfrac{d}{dx}(e ^{\lambda x} )- 111 \ e ^{\lambda x} = 0[/tex]

To Replace:

[tex]\dfrac{d^3}{dx^3}(e ^{\lambda x} )[/tex] with [tex]\lambda^3 e ^{\lambda x }[/tex]

[tex]\dfrac{d^2}{dx^2}(e ^{\lambda x} ) \ with \ \lambda^2 e^{\lambda\ x}[/tex]

[tex]\dfrac{d}{dx}(e ^{\lambda x} ) \ with \ \lambda e ^{\lambda \ x}[/tex]

Thus;

[tex]\lambda^3 e ^{\lambda x }[/tex] + [tex]9 \lambda^2 e^{\lambda\ x}[/tex] + [tex]\lambda e ^{\lambda \ x}[/tex] - 111 [tex]e ^{\lambda \ x}[/tex] = 0

[tex]e ^{\lambda \ x} (\lambda ^3 + 9 \lambda ^2 + \lambda - 111 )= 0[/tex]

∴

In as much as [tex]e^{ \lambda x}\neq 0[/tex] for any finite [tex]\lambda[/tex]; Then:

[tex]\lambda ^3 + 9 \lambda ^2 + 111 = 0[/tex]

By Factorization:

[tex](\lambda - 3) ( \lambda ^2 + 12 \lambda + 37) = 0[/tex]

[tex]\lambda = -6 + i \ or\ \lambda = -6 - i \ or \ \lambda = 3[/tex]

However;

The root [tex]\lambda = -6 \pm i[/tex] yield;

[tex]y_1 = (x) = c_1 e ^ {(-6+i)x}[/tex]

[tex]y_2 (x) = c_2e^{(-6-i)x}[/tex]

The root [tex]\lambda = 3[/tex] yield;

[tex]y_3(x) = c_3 e^{3x}[/tex]

∴

The general solution is:

[tex]y(x) = y_1(x) + y_2(x) + y_3(x) = \dfrac{c_1}{c^{(6-i)}x}+\dfrac{c_2}{c^{(6+i)}x}+ c_3e^{3x}[/tex]

Using Euler's Identity ;

[tex]e^{\alpha+i \beta} = e^\alpha \ cos (\beta ) + i \ e^\alpha \ sin ( \beta)[/tex]

[tex]y(x) = c_1 ( \dfrac{cos (x) }{e^{6x}}+ \dfrac{i \ sin x }{e^{6x} }) + c_2 ( \dfrac{cos (x)}{e^{6x}}- \dfrac{-i \ sin (x)}{e^{6x}})+c_3 e^{3x}[/tex]

[tex]\mathbf{y(x) = \dfrac{(c_1 + c_2) \ cos (x)}{e^{6x} }+ \dfrac{i(c_1 -c_2) \ sin (x)}{e^{6x}}+ c_3e^{3\ x}}[/tex]

Snail moves 6 inches in 120 minutes. What was average speed of snail in inches per minute

Answers

Answer:

.2 inches a min.

Step-by-step explanation:

Answer:

0.05

Step-by-step explanation:

6 divided by 120 = 0.05

Hope this helps☺️

Determine wheather the given lines are parallel or not. Write the reasons .

Answers

Answer:

yes it is parallel because the alternate interior angles are equal

PLEASE HELP ASAP!!
There are 800 students who attend Park Middle School. There are 1.5 times as many boys as there are girls.
x is boys
y is girls
800=1.5x=y
Determine how many boys and girls attend Park Middle School. Round to the nearest whole number if necessary. Show your work.

Answers

Answer:

320 boys; 480 girls

Step-by-step explanation:

Here is the correct system of equations you can write for this equation:

1.5x=y

x+y=800

x+1.5x=800

2.5x=800

x=320

320+y=800

y=480

find the values of the six trigonometric functions for angle theta in standard position if a point with the coordinates (1, -8) lies on its terminal side

Answers

Answer:

cosФ = [tex]\frac{1}{\sqrt{65}}[/tex] , sinФ = [tex]-\frac{8}{\sqrt{65}}[/tex] , tanФ = -8, secФ = [tex]\sqrt{65}[/tex] , cscФ = [tex]-\frac{\sqrt{65}}{8}[/tex] , cotФ = [tex]-\frac{1}{8}[/tex]

Step-by-step explanation:

If a point (x, y) lies on the terminal side of angle Ф in standard position, then the six trigonometry functions are:

cosФ = [tex]\frac{x}{r}[/tex]sinФ = [tex]\frac{y}{r}[/tex]tanФ = [tex]\frac{y}{x}[/tex]secФ = [tex]\frac{r}{x}[/tex]cscФ = [tex]\frac{r}{y}[/tex]cotФ = [tex]\frac{x}{y}[/tex]Where r = [tex]\sqrt{x^{2}+y^{2} }[/tex] (the length of the terminal side from the origin to point (x, y)You should find the quadrant of (x, y) to adjust the sign of each function

∵ Point (1, -8) lies on the terminal side of angle Ф in standard position

∵ x is positive and y is negative

→ That means the point lies on the 4th quadrant

∴ Angle Ф is on the 4th quadrant

∵ In the 4th quadrant cosФ and secФ only have positive values

∴ sinФ, secФ, tanФ, and cotФ have negative values

→ let us find r

∵ r = [tex]\sqrt{x^{2}+y^{2} }[/tex]

∵ x = 1 and y = -8

∴ r = [tex]\sqrt{x} \sqrt{(1)^{2}+(-8)^{2}}=\sqrt{1+64}=\sqrt{65}[/tex]

→ Use the rules above to find the six trigonometric functions of Ф

∵ cosФ = [tex]\frac{x}{r}[/tex]

∴ cosФ = [tex]\frac{1}{\sqrt{65}}[/tex]

∵ sinФ = [tex]\frac{y}{r}[/tex]

∴ sinФ = [tex]-\frac{8}{\sqrt{65}}[/tex]

∵ tanФ = [tex]\frac{y}{x}[/tex]

∴ tanФ = [tex]-\frac{8}{1}[/tex] = -8

∵ secФ = [tex]\frac{r}{x}[/tex]

∴ secФ = [tex]\frac{\sqrt{65}}{1}[/tex] = [tex]\sqrt{65}[/tex]

∵ cscФ = [tex]\frac{r}{y}[/tex]

∴ cscФ = [tex]-\frac{\sqrt{65}}{8}[/tex]

∵ cotФ = [tex]\frac{x}{y}[/tex]

∴ cotФ = [tex]-\frac{1}{8}[/tex]

Statements about regression
Which of the following are true about regression with one predictor variable (often called "simple regression")?
A. The total squared error divided by its degrees of freedom is the square of the standard error of estimate
B. The standardized regression coefficient, beta, has the same value as r, the estimated correlation
C. After conducting a hypothesis test to test that the slope of the regression equation is nonzero, you can conclude that your predictor variable, X, causes Y

Answers

Answer:

Follows are the solution to this question:

Step-by-step explanation:

It is true because the square of the standard error of its estimate was its total square error divided only by the degree of freedom. It is true because Its coefficient with Standardized Regression, beta, will have the same value as r, the approximate similarity. It is false because Its slope b, of its equation of regression, will have the same value as r, the projected correlation.

Bob is hiking down a 12-mile country trail. He could hike at 3 mph for the first two hours and then go the rest of the way at 5 mph or he could just go the whole way at 4 mph. How long would each of these options take? Which option is the faster?
Answer:
The first option would take:
The second option would take:
The faster option is the:

Answers

Answer: The first option would take: 3.2 hr

The second option would take: 3 hr

The faster option is the: second

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

Speed = distance / time.

First option:

Walking at 3mph for 2 hours will give 2*3 = 6 miles.

So for 6 miles travelling at 5 mph he will take 6/5 = 1.2 hours.

Total time = 3.2 hours.

Second option:

Walking for 12 miles at 4 mph will take him 12/4 = 3 hours.

The fastest option is the second one.

which number line and expression show how to find the distance from -4 to 1?

Answers

Answer:

the correct answer is C

The neighborhood swimming pool drains at a rate of 99 gallons every 3 hours. At this rate, how many gallons are
emptied each hour?
Helllllpppppp meeee

Answers

Answer:

33mph

Step-by-step explanation:

because if u divide 99 by 3 that is the answer

where does 17 lies between

Answers

Answer:

it lies between 16 and 18

Step-by-step explanation:

Answer:

16 and 18

Step-by-step explanation:

If cost of 3 kg of sugar is Rs 240. What is rate of cost of sugar

Answers

Rs80 for each 1kg sugar

help please !!!!!!!!!!!!!!11

Answers

Answer: 1.9 per year this is the answer

now? A)12 years b] 15 years
c] 194 years d] 21 years
472) The ratio of
heir age arier
471) Ratio of Aashok's age to sandeep's age is 4:3. Ashok will be 26 years old after 6 years. How old is Sandeep

Answers

Answer:

Sandeep would be 15 years old.

Step-by-step explanation:

If Ashok is 26 in 6 years he is 20. We need to simplify 20 to 4.

20/4 = 5

So that means Sandeep’s age would be 5 x 3

5 x 3 = 15

20:15 simplified is 4:3

What Is It HomeWork*.

Answers

Answer:

sumthing that we hate doing

Step-by-step explanation:ughhhhhhhhhh

The inequalities is 6 is greater than or equal to 6

pls help meeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

kya pls help meeeeeeeeeeeeeeee.

please thanks and follow me.

CAN YOU PLS ANSWER THIS QUICK!!! WHAT IS THE ANSWER TO THIS MATH EQUATION??? GEOMETRY/COLLEGE!!!

Answers

The answer is undefined

Jean's bedroom is 13 feet by 11 feet. She has chosen a carpet which costs $29.65 per square yard. This includes installation.

Determine her cost to carpet her room.

Answers

Answer:

The answer is 4239.95

Step-by-step explanation:

First, you would have to do 13x11.

Which will come out to be 143.

Then do 143 times 29.65 to get your answer.

The answer is 4239.95.

Jean's cost to carpet her room is $470.33.

What is the area of the rectangle?

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

First, we have to convert the dimensions of the room from feet to yards:

Length in yards = 13 feet / 3 feet per yard = 4.33 yards

Width in yards = 11 feet / 3 feet per yard = 3.67 yards

The area of the room is:

Area = length x width

Area = 4.33 yards x 3.67 yards

Area = 15.86 square yards

The cost per square yard is $29.65, so the total cost is:

Total cost = area x cost per square yard

Total cost = 15.86 square yards x $29.65/square yard = $470.33

Therefore, Jean's cost to carpet her room is $470.33.

Learn more about the area of the rectangle here:

brainly.com/question/20693059

#SPJ2

A researcher wants to compare the heights of males between generations to see if they differ. To do this, he samples random pairs of males who are at least 18 years old and their fathers. He then splits them into a sample of fathers and a sample of sons. Suppose that data were collected for a random sample of 11 pairs, where each difference is calculated by subtracting the height of the son from the height of the father. Assume that the heights are normally distributed. The test statistic is t≈1.971, α=0.05, the corresponding rejection regions are t<−2.228 and t>2.228, the null hypothesis is H0:μd=0, and the alternative hypothesis is Ha:μd≠0.

Select all that apply:
a. Reject the null hypothesis.
b. Fail to reject the null hypothesis.
c. The conclusion of the hypothesis test is that there is sufficient evidence to suggest that the heights of males between generations are different.
d. The conclusion of the hypothesis test is that there is insufficient evidence to suggest that the heights of males between generations are different.

Answers

Answer:

The correct option is

Option A and Option C

Step-by-step explanation:

From the question we are told that

The sample size of paired men is [tex]n_p = 11[/tex]

The test statistics is t≈1.971

The significance level is α=0.05

The rejection region is t<−2.228 and t>2.228

The null hypothesis is [tex]H_o :\mu_ d=0[/tex]

The alternative hypothesis is [tex]H_a :\mu_ d \ne 0[/tex]

Generally the degree of freedom is mathematically represented as

[tex]df = n_1 + n_2 - 2[/tex]

Here [tex]n_1[/tex] is the sample size of father which is [tex]n_1 = 11[/tex]

[tex]n_2[/tex] is the sample size of males who are at least 18 years old which is [tex]n_2 = 11[/tex]

[tex]df = 11 + 11 - 2[/tex]

=> [tex]df = 20[/tex]

Generally the critical values of α=0.05 from the t- distribution table at a degree of freedom of [tex]df = 20[/tex] for a two -tailed test is

[tex]t_{0.05 , 20 } = \pm 2.08596345 [/tex]

From the value obtained we see that the critical value is within the region of rejection hence

The decision rule is

Reject the null hypothesis

The conclusion is

The conclusion of the hypothesis test is that there is sufficient evidence to suggest that the heights of males between generations are different.

Compute the mean, median, and mode for the following three sets of scores saved.

Score 1 Score 2 Score 3

3 34 154
7 54 167
5 17 132
4 26 145
5 34 154
6 25 145
7 14 113
8 24 156
6 25 154
5 23 123

Answers

Answer/Step-by-step explanation:

Score 1:

3, 7, 5, 4, 5, 6, 7, 8, 6, 5

Mean = [tex] \frac{3 + 7 + 5 + 4 + 5 + 6 + 7 + 8 + 6 + 5}{10} = \frac{56}{10} = 5.6 [/tex]

Median: order the data from least to the greatest.

3, 4, 5, 5, 5, 6, 6, 7, 7, 8

The median is average of the fifth and sixth data value in the data set

Median = (5 + 6)/2 = 11/2 = 5.5

Mode = value with the highest frequency = 5

Score 2:

34, 54, 17, 26, 34, 25, 14, 24, 25, 23

Mean = sum of all values/10

Mean = 276/10 = 27.6

Median: order the data set from min to max.

14, 17, 23, 24, 25, 25, 26, 34, 34, 54

The median is average of the fifth and sixth data value in the data set

Median = (25 + 25)/2 = 50/2 = 25

Mode = 25 and 34 (both have frequencies of 2)

Score 3:

154, 167, 132, 145, 154, 145, 113, 156, 154, 123

Mean = sum of all values/10

Mean = 1443/10 = 144.3

Median: order the data set from min to max.

113, 123, 132, 145, 145, 154, 154, 154, 156, 167

The median is average of the fifth and sixth data value in the data set

Median = (145 + 154)/2 = 299/2 = 149.5

Mode = 154

Evaluate and reduce:
-4.9
Enter the number that belongs in the
green box,

Answers

Answer:

Step-by-step explanation:

-4/7 * 9

The dot there resembles multiplication sign.

-4/7 * 9/1 (9 = 9/1 because 9 divided by 1 = 9)

=> -(4 * 9) / (9 * 1)

=> -36 / 9

=> -4

If my answer helped, kindly mark me as the brainliest!!

Thanks!!

(-8) X 2/3 i NEED the answer help me

Answers

-5.33333333333

I used a calulator can I get brainliest please

HELP PLSSSSS AAAAAAAAAAAAAAAAAAAAAA ILL GIVE BRAINLIEST B(

Answers

Answer:

a(n) = (3/5)a(n-1), where a(1) = 10 and n is 2 or greater.

Step-by-step explanation:

determine the common factor...The first term (10) by 3/5 results in the given second term (6); the third term is 3/5 of the second term (6), resulting in 18/5 (equivalent to 36/10 or 3.6/1, or just 3.6. Resulting in a(n) = (3/5)a(n-1).

the third term is 3.6, which, if mult. by (3/5), produces 2.16, as expected.

Thus, the recursive formula for this geometric sequence is a(n) = (3/5)a(n-1).

This is good only for a(1) = 10 and n = 2, 3, ....

Hope this helps you

Answer: