The sum of three numbers is fourteen. The first number minus three times the third number is the second number. The second number is six more than the first number. Find the three numbers.

Answer:

acute triangle

Step-by-step explanation:

First find the other angle

The sum of the angles is 180

x+65+60  = 180

x + 125 = 180

x = 180-125

x = 55

All three angles are different so all three side lengths are different

All the angles are less than 90 so all the angles are acute

This is an acute scalene triangle

Answer:

im is 55 so the only correct option is c

Step-by-step explanation:

hope this helps! have a great day!!

Answer:

gfs

Step-by-step explanation:

Answer:

2 rooms

Step-by-step explanation:

Let; 4 7/10 = 47/10

9 2/5=47/5

So; if each room(1) = 47/10

47/5 should be x rooms

47/10 = 1

47/5 = x

cross multiplying

47/10x = 47/5

L.C.M = 10

10×47/10x = 10× 47/5

47x = 47 × 2

x = 47 × 2/47

x = 2

Therefore x being 9 2/5 rolls of wire will wire 2 rooms

Answer:

[tex]R = \frac{x(x+1)}{2x+1}[/tex] --- total resistance

Step-by-step explanation:

Given

[tex]\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2}[/tex]

Required

Find R when

[tex]R_1 = x[/tex]

[tex]R_2 = x+1[/tex]

So, we have:

[tex]\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2}[/tex]

Substitute values for both R's

[tex]\frac{1}{R} = \frac{1}{x} + \frac{1}{x+1}[/tex]

Take LCM

[tex]\frac{1}{R} = \frac{x+1+x}{x(x+1)}[/tex]

Collect like terms

[tex]\frac{1}{R} = \frac{x+x+1}{x(x+1)}[/tex]

[tex]\frac{1}{R} = \frac{2x+1}{x(x+1)}[/tex]

Inverse both sides

[tex]R = \frac{x(x+1)}{2x+1}[/tex]

Answer:

C. L LAM = L LBM

Step-by-step explanation:

__________

Answer:

x = 9

y = 9

Step-by-step explanation:

Given :

Let :

Kenyan French roast coffee = x

Cost per x = $8

Sumatran Coffee = y

Cost per y = $10

x + y = 18 - - - - (1)

8x + 10y = 9 * 18 ;

8x + 10y = 162 - - - - (2)

From (1):

x = 18 - y

Put x = 18 - y in (2)

8(18 - y) + 10y = 162

144 - 8y + 10y = 162

2y = 162 - 144

2y = 18

y = 9

x = 18 - y

x = 18 - 9

x = 9

Answer:

-x^2 +4x +6

Step-by-step explanation:

f(x)=4x+1

g(x)=x^2-5

(f-g)(x) = 4x+1 - (x^2-5)

Distribute the minus sign

           = 4x+1 - x^2 +5

           = -x^2 +4x +6

9514 1404 393

Answer:

  (c)  x = 10

Step-by-step explanation:

The diagonals of a square cross at right angles, so the measure of angle KNJ is 90°.

  90 = 10x -10

  100 = 10x . . . . . add 10

  10 = x . . . . . . . . divide by 10

The value of x is 10.

Answer:

11, 12, 13, 21, 22 and 23

Step-by-step explanation:

Given

[tex]Procedures = 2[/tex]

[tex]1 \to[/tex] Step 1

[tex]2 \to[/tex] Step 2

[tex]3 \to[/tex] Step 3

Required

List all possible experimental outcomes

From the question, we understand that:

[tex]Procedure\ 1 = 3\ steps[/tex]

[tex]Procedure\ 2 = 2\ steps[/tex]

So, the total possible steps (n) are:

[tex]n=Procedure\ 1 * Procedure\ 2[/tex]

[tex]n = 3 * 2[/tex]

[tex]n = 6\ steps[/tex]

Such that the 2nd steps cannot take the value of 3.

So, the outcomes are: 11, 12, 13, 21, 22 and 23

Answer:

ok for this problem lets convert all of the number into decimals to make it easier.

7.5 is already a decimal

7 2/5 as a decimal is 7.4

7.69() is already a decimal  

ok so 7.4 is lowest

7.5 is next

7.69 is highest

Answer:

In order from least to greatest is [tex]7\frac{2}{5},7.5,7.69[/tex]

Step-by-step explanation:

In order from greatest to least is the other way around

[tex]2/5 = 0.4[/tex]

So [tex]7.4[/tex]

Hope this is helpful

Answer:

[tex]{ \tt{12 {y}^{2} + 12y - 3 {y}^{3} = 124 - (y + 5)}} \\ 3 {y}^{3} - 12 {y}^{2} - 12y = - 124 + (y + 5) \\ {3y}^{3} - 12 {y}^{2} - 12y = - 124 + y + 5 \\ { \tt{3 {y}^{3} - {12y}^{2} - 11y + 119 = 0 }}[/tex]

Answer: 1.345714286

Step-by-step explanation:

This is the full answer, if you want to round it up. Then your welcome to do so.

9514 1404 393

Answer:

  (a)  -1215/32

Step-by-step explanation:

The sequence is apparently geometric. The common ratio is ...

  (-135/2)/90 = -135/180 = -3/4

Then the next term is ...

  (405/8)(-3/4) = -1215/32

Answer:

abcdefg omlllfffg

Step-by-step explanation:

Answer:

The slope is equal to 5.

Step-by-step explanation:

Point 1 (0, 5)

Point 2 (3, 20)

m=y2-y1/x2-x1

m=5-20/0-3

m=-15/-3=

m=5

Answer: hello your question has some missing data attached below is the missing data

answer :

∑ Volume variance = $55272

∑ Sales price variance = $41944 ( F )

Step-by-step explanation:

First step : prepare a flexible budget data for the current year using the formulae below

flexible budget = Actual units * Budgeted rate

and

Sales price variance = Actual - Budgeted data

Attached below is the Table showing the evaluation of sales price variance and volume variance

Option B:-  x = -3/2 or x = 2

Answer:

I think the answer is the sequence is arithmetic because the term have a common difference

The correct option is The sequence is not arithmetic because the terms do not have a common difference.

An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k.

This is in contrast to a geometric sequence where each term increases by dividing/multiplying some constant k called the common difference.

Given is graph, we need to conclude the true about the graph,

Finding the common difference,

4-1 = 3    

9-4 = 5

16-9 = 7

25-16 = 9

Clearly from the set of values that are given in the graph we could observe that the function that is formed using these set of values is:

y=f(n)=n² where n=1,2,3,4,5,.....

That mean, the following sequence is not an arithmetic sequence as the common difference is different.

Hence, the correct option is The sequence is not arithmetic because the terms do not have a common difference.

Learn more about arithmetic sequence click;

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sorry, I can help with this question but the question is cut off on the right, reply to me with the full question and id be happy to help :)

Answer:

t = 0.77930

t = 1.2832

Step-by-step explanation:

Answer:

b.Commutative property is true for subtraction of Rational numbers

Step-by-step explanation:

Answer:

I don’t know what type of figure you are talking about. But if there is supposed to be a picture attached, we see nothing

Step-by-step explanation:

You could repost this question though, I’ll be glad to help on that other question!

Answer:

For eleven, it had the same two numbers. For twelve, it continues up by even numbers. For thirteen, it's the same as twelve but by odd numbers. For fourteen, it's a little difficult but they have a pattern for every five multiples of fourteen. For fifteen, the numbers add by five but also counting up.

Step-by-step explanation:

Examples for the table of eleven would be: 11 × 3 = 33 or 11 × 6 = 66.

Table twelve would be (as examples): 12 × 2 = 24 and 12 × 3 = 36.

Table thirteen have numbers/answers like: 13 × 7 = 91 and 13 × 8 = 104.

Table fourteen as examples: 14 × 3 = 42 or 14 × 4 = 56.

Table fifteen would be like: 15 × 6 = 90 and 15 × 7 = 105.

Answer:

its answer is 3rd part

ABC-FED

Hey buddy I am here to help!

angle ABC = angle FED

Hope this answer helps!

Plz mark me brainliest!

A Plane does not have one dimensions.

A plane is a doubly ruled surface in two dimensions that is spanned by two linearly independent vectors. A hyperplane is a generalisation of the plane to higher dimensions. The dihedral angle is the angle formed by two intersecting planes.

A plane doesn't only have one dimension, though. The two dimensions of a plane.

A plane is a flat, infinitesimally long two-dimensional surface.

The plane can occasionally be extended into three dimensions.

Consequently, a plane has more than one dimension.

Learn more about Plane here:

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Answer:

s = 4.28 cm (Answer A)

Step-by-step explanation:

1) The formula for the circumference of a circle of radius r is C = 2(pi)r, and this corresponds to a full circle, with central angle 360 degrees.  

2) Here the circumference is 28 cm.  Therefore, solving for the radius involves the following calculation:   28 cm = 2(pi)r, or

r = (28 cm) / (2 pi), or (28 cm) / 6.28 = 4.46 cm.  

3) The arc length s = r(theta), when the central angle (theta) is 55 degrees, is (55/360) times the circumference of the circle:  (55/360)(28 cm), or

s = 4.28 cm (Answer A)

Answer:

1. The correct option is:

B. H0: The distribution of working hours for private practice doctors is the same as the distribution of working hours for hospital doctors.

Ha: The distribution of working hours for private practice doctors is not the same as the distribution of working hours for hospital doctors.

2. The test statistic is -0.97.

3. The correct option is E. We fail to reject the null hypothesis. There is not enough evidence to show that the distribution of working hours for private practice doctors is not the same as the distribution of working hours for hospital doctors.

Step-by-step explanation:

Note: This question is not complete and it contains some inconsistency errors in thee data. The correct complete question is therefore provided before answering the question. See the attached pdf for the correct complete question.

The explanation of the answer is now provided as follows:

1. State the null and alternative hypotheses.

Since we are trying to examine whether private practice doctors and hospital doctors have the same distribution of working hours, this implies that the correct option is:

B. H0: The distribution of working hours for private practice doctors is the same as the distribution of working hours for hospital doctors.

Ha: The distribution of working hours for private practice doctors is not the same as the distribution of working hours for hospital doctors.

2. What is the test statistic?

Note: See the attached excel file for the calculation of total of (f1 * x), total of (f2 * x), total of (f1 * x^2) and total of (f2 * x^2).

From the attached excel file, we have:

N2 = Total of f2 = Sample size of Hospital = 150

M1 = Mean of Private-Practice = Total of (f1 * x) / N1 = 38.40

M2 = Mean of Hospital = Total of (f2 * x) / N2 = 43.60

S1^2 = Variance of Private-Practice = Total of (f1 * x^2) / N1 = 1,541.00

S2^2 = Variance of Hospital = Total of (f2 * x^2) / N2 = 1,975.67

Therefore, we have:

t = (M1 - M2) / ((S1^2 / N1) + (S2^2 / N2))^0.5 = (38.40 - 43.60) / ((1,541 / 100) + (1,975.67 / 150))^0.5 = -0.97

Therefore, the test statistic is -0.97.

3. What can you conclude at the 5% significance level?

At 5% significance level, the test statistic from the Z distribution table known as t-tab is 1.96.

Since our calculated test statistic is -0.9727 is less than 1.96, this implies that we fail to reject the null hypothesis (H0).

Again, since we are trying to examine whether private practice doctors and hospital doctors have the same distribution of working hours, this implies that the correct option is E. We fail to reject the null hypothesis. There is not enough evidence to show that the distribution of working hours for private practice doctors is not the same as the distribution of working hours for hospital doctors.