The sum of three numbers is 78. The second number is 10 more than the first, and the third number is two times the second number.

1. Write an equation that will help you determine the 3 numbers.
2. Solve the equation showing all your steps.
3. Tell what the 3 numbers are.

Answer:

15

Step-by-step explanation:

The amplitude of y=sin(x) is 1 with a maximum of y=1 and a minimum of y=-1. It's amplitude is 1 because that is the distance the max( y=1 )is from the mid line (y=0) or the distance the min( y=-1 ) is from the mid line (y=0).

So we just need to find the distance the mid line, y=-12, and the max,y= 3, is from each other.

3--12=3+12=15

Answer:

Part A:

c = .86*p

c =1.72 for 2 lbs

Part B:

c =.81p

Step-by-step explanation:

Part A:

Total cost = cost per pound * number of pounds

c = .86*p

Let p = 2

c = .86*2

c =1.72

Part B:

Total cost = cost per pound * number of pounds

c = .(.86-.05)*p

c =.81p

Answer:

GTLN : 1  GTNN: -1

Step-by-step explanation:

Ta có:

[tex]y=cos(x+\frac{\pi }{3} ) + cos(x-\frac{\pi }{3} ) \\ = 2.cosx.cos\frac{\pi }{3} \\ = cosx[/tex]

mà [tex]-1\leq cosx \leq 1[/tex]

Nên Max [tex]y=1[/tex]  , [tex]x[/tex] ∈ [tex]R[/tex]

       Min [tex]y = -1[/tex], [tex]x[/tex] ∈ [tex]R[/tex]

Step-by-step explanation:

here's the answer to your question

In matrix form, the given system is written as

[tex]\begin{bmatrix}1&1&0\\6&2&-3\\k&0&-1\end{bmatrix}\begin{bmatrix}x\\y\\z\end{bmatrix}=\begin{bmatrix}3-k\\1\\-3\end{bmatrix}[/tex]

and the system has no solution is the coefficient matrix is singular. The determinant is

[tex]\begin{vmatrix}1&1&0\\6&2&-3\\k&0&-1\end{vmatrix} = -3k+4[/tex]

and this is zero when k = 4/3.

On the other hand, in case you are missing a factor of z in the first equation, so that the system should read

x + y + (k - 1) z = 2

6x + 2y - 3z = 1

kx - z = -3

reframing it as a matrix equation gives

[tex]\begin{bmatrix}1&1&k-1\\6&2&-3\\k&0&-1\end{bmatrix}\begin{bmatrix}x\\y\\z\end{bmatrix}=\begin{bmatrix}2\\1\\-3\end{bmatrix}[/tex]

Then the determinant of the coefficient matrix is

[tex]\begin{vmatrix}1&1&k-1\\6&2&-3\\k&0&-1\end{vmatrix} = -2k^2-k+4[/tex]

and the determinant is zero at two values, k = (-1 ± √33)/4.

Answer:

Step-by-step explanation:

The series is missing from the question. I will answer this question with a general explanation by using the following similar series:

[tex]\sum\limits^6_{n=0} 7^n[/tex]

Required

The series

To do this, we simply replace n with the values

[tex]\sum\limits^6_{n=0}[/tex] means n starts from 0 and ends at 6

[tex]\sum[/tex] means the series is a summation series

So, we have:

[tex]\sum\limits^6_{n=0} 7^n = 7^0 + 7^1 + 7^2 + ...... + 7^6[/tex]

[tex]\sum\limits^6_{n=0} 7^n = 1 + 7 + 7^2 + ...... + 7^6[/tex]

Answer:

0.028x-6-0.48x-2+0.552x

(0.028-0.48+0.552)x-6-2

0.1x-8

The simplified expression, when evaluated for x=36, is -4.4, when following expression and evaluate for x=36 b= 0.02(1.4x - 300)-0.2(2.4x+10)+0.552x

To simplify the expression and evaluate it for x=36, let's break it down step by step:

0.02(1.4x - 300) - 0.2(2.4x + 10) + 0.552x

First, let's simplify the terms within each set of parentheses:

0.02 * (1.4 * 36 - 300) - 0.2 * (2.4 * 36 + 10) + 0.552 * 36

Next, perform the multiplications and additions/subtractions within each set of parentheses:

0.02 * (50.4 - 300) - 0.2 * (86.4 + 10) + 0.552 * 36

0.02 * (-249.6) - 0.2 * (96.4) + 19.872

Now, evaluate the remaining multiplications:

-4.992 - 19.28 + 19.872

Finally, perform the additions and subtractions:

-4.992 - 19.28 + 19.872 = -4.4

Therefore, the simplified expression, when evaluated for x=36, is -4.4.

To know more about  simplified , here

https://brainly.com/question/28595186

#SPJ2

The diagram is missing and so i have attached it.

Answer:

Next step is;

to keep the same compass width and draw an arc centered at H crossing the previous arc in the image.

Step-by-step explanation:

A perpendicular line is to be drawn to line GH through point A.

The steps are;

1. Identification of the two end points of the line which has been done.

2. Place one leg of the compass at point G and draw a small arc above the line GH. This has been done.

3. Without changing the span of the compass, place the same leg of the compass at point H and draw another small arc above the line GH to intersect the previously drawn small arc.

4. Make use of a straight object to connect the point of intersection of the two small arcs to the point A.

This line is the perpendicular line to GH.

In the figure attached, they have just finished point 2 I wrote above. Thus, the next step is point 3.

Answer:

to keep the same compass width and draw an arc centered at H crossing the previous arc in the image.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

area of triangle = 1/2 x c x d =cd/2

area of semicircle = 1/2 x π x r^2 = 1/2 x π x (a/2)^2 = 1/2 x π x a^2/4 =πa^2/8

area of shape = area of triangle + area of semicircle

Answer:

[tex]3^{\frac{7}{10} }[/tex]

Step-by-step explanation:

[tex]\sqrt{3} *\sqrt[5]{3}[/tex] = 3^1/2 x 3^1/5 = 3^(1/2 +1/5) = 3^7/10

Answer:

Step-by-step explanation:

Exponent law: [tex]a^{m}*a^{n}=a^{m+n}[/tex]

[tex](\sqrt{3} ) )*(\sqrt[5]{3})= 3^{\frac{1}{2}}*(3^{\frac{1}{5}})\\\\=3^{\frac{1}{2}+\frac{1}{5}}\\\\=3^{\frac{1*5}{2*5}+\frac{1*2}{5*2}}\\\\= 3^{\frac{5}{10}+\frac{2}{10}}\\\\=3^{\frac{5+2}{10}}\\\\=3^{\frac{7}{10}}[/tex]

= 57 yards.

Step-by-step explanation:

95 yards is the diagonal of the field

76 yards is the length

Find the width.

This set-up will for a right angled triangle with a length of 76 yards and Hypotenuse of 95 yards. Therefore the height will represent the width of our Rectangle.

[tex]{b}^{2} = {c}^{2} - {a}^{2} \\ {b}^{2} = {95}^{2} - {76}^{2} \\ {b}^{2} = 9025 - 5776 \\ \sqrt{ {b}^{2} } = \sqrt{3249} \\ b = 57yards[/tex]

Answer:

A

Step-by-step explanation:

As the angles are equal, AB=BC, 16x-7=12x+1, 4x=8, x=2.

Answer:

(-1/3)x

Step-by-step explanation:

You can either solve this algebraically or solve it by testing one possible answer at a time.

First example:  To (5/6)x - 4, add (-1/3)x.  Result:  (3/6)x - 4.  This is correct.

The correct answer is the first one:  (-1/3)x.

Answer:

70

Step-by-step explanation:

we have the angle of vertex in the isosceles triangle = 180-2*bottom coner= 180-65/2=50

3 angles in the equilateral triangle are equal to 60

we have 50 + 60 +h =the angle of PQR =180

h=70

Answer: h = 70°

In the triangle with Angle R = 65

It is a isoceles triangle as two sides are equal

So base angles will be equall too

Then the third angle will which is the q one will be

65+65+q = 180

q = 180 - 130

q = 50

In the other triangle with all sides equal will be equilateral triangle which means all angles equal = 60

So

Now ATQ

60 + 50 + h = 180

h = 180 - 110 (Angles on a straight line adds upto 180)

h = 70

Must click thanks and mark brainliest

Answer:

-10

Step-by-step explanation:

5(2) or fives times two is positive ten. The rule about multiplying with negatives is a negative times a positive is a negative. We take the multiplication answer from 5(2)=10 and apple the nagative from 5(-2). Hope this helps:)

[tex] \large \tt{{❃ \: S \: O \: L \: U \: T \: I \: O \: N : }}[/tex]

[tex] \large{ \tt{❁ \:x + x + 98 = 180 \degree \: [ Sum\: of \: angle \: of \: a \: triangle ]}}[/tex]

[tex] \large{ \tt{⟶2x + 98 \degree= 180 \degree}}[/tex]

[tex] \large{ \tt{⟶ \: 2x = 180 \degree - 98 \degree}}[/tex]

[tex] \large{ \tt{⟶ \: 2x = 82 \degree}}[/tex]

[tex] \large{ \tt{ ⟶x = \frac{82 \degree}{2} }}[/tex]

[tex] \large{ \tt{⟶ \: x = 41 \degree}}[/tex]

[tex] \large{ \tt{ ↔\angle \: 1 = x \degree = \boxed{41 \degree}}}[/tex] [ Being alternate angles ]

- Alternate angles are the non-adjacent interiors pair of angles lying to the opposite side of a transversal when it intersects two straight line segments. Alternate angles form ' Z ' shape.

Answer:

V(t) = 14,000(0.89)^t

Step-by-step explanation:

Present value of the Dodge Challenger = $14,000

Present percentage value = 100%

Depreciation value = 11%

Number of years = t

Future value = V(t)

V(t) = Present value of the Dodge Challenger(Present percentage value - Depreciation value)^t

= 14,000(100% - 11%)^t

= 14,000(89%)^t

= 14,000(0.89)^t

V(t) = 14,000(0.89)^t

Answer:

True

Step-by-step explanation:

Office resources can be defined as all those means, facilities or equipments, including manpower that are utilized in the operation of various office procedures on a daily basis. Thus, office resources comprises means of communication, means of transportation, manpower (workers or employees), furniture, computer, etc.

Basically, the proper and efficient utilization of office resources determine the level of success that would be achieved in any office.

In Business management, office resources are generally grouped into five (5) main categories and these include;

I. Communication.

II. Transportation.

III. Material and office supplies.

IV. Sources of income (finance).

V. Manpower (human resources).

Manpower is also referred to as human resources or office personnels and it can be defined as the total number of people working from the lower hierarchy to top hierarchy of an organization, engaged in various jobs or tasks at different levels.

Basically, manpower is considered to be the most important type of office resources because it is vital for achieving the organizational goal.

This ultimately implies that, the most valuable assets of an organization is its qualitative manpower because it comprises human competence, skills and knowledge.

Answer: Approximately 904

volume = (4/3) · π · r³

(4/3) · 3.14 · 6³ = (4/3) · 3.14 · 216 = (4/3) · 678.24 = 904.32 ≈ 904

Answer:

904 units^3

Step-by-step explanation:

The formula for finding the volume of a sphere is V = 4/3 πr³

π is assumed to be 3.14, and the radius is 6.

V = 4/3 * 3.14 * 216

V = 4.18666666 * 216

Volume = 904.32, which can be rounded to 904 units cubed

Answer:

12 minutes

Step-by-step explanation:

We can use the formula

1/a+ 1/b = 1/c  where a and b are the times alone and c is the time together

1/20 + 1/30 = 1/c

Multiply by the common denominator to clear the fractions

60c(1/20 + 1/30 = 1/c)

3c +2c = 60)

5c = 60

Divide by 5

5c/5 = 60/5

c = 12

12 minutes

Answer: 12 minutes

Step-by-step explanation: To solve this kind of a problem, which is called a work problem, it's important to understand the following idea:

Since Barry can eat a bag of popcorn in 30 minutes, we know that in 1 minute, Barry can eat 1/30 of the bag of popcorn and in 2 minutes, Barry can eat 2/30 of the bag of popcorn. Therefore, in t minutes, Barry can eat t/30 of the bag of popcorn. The same thing applies for Andrea. In t minutes, Andrea can eat t/20 of the bag of popcorn.

Now to solve the problem, we use the following formula:

Part of Job done by Barry + Part of Job done by Andrea = 1 job done

The part of job done by Barry is t/30 and the part

of the job done by Andrea is t/20.

So we have t/30 + t/20 = 1.

To solve for t, multiply both sides by the common denominator of 60.

So we get 2t + 3t = 60 or 5t = 60 so t = 12.

So Barry and Andrea can eat 1 bag together in 12 minutes.

Answer:

Yes, you got the correct answer, it's y=-4

the formula for calculating the circumference is [tex]\pi[/tex] x diameter

so, 3.14 x 9 = 28.26ft (a)

Answer:

C = 28.26 ft

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d

C = 3.14 *9

C = 28.26 ft

Answer:

0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.

Step-by-step explanation:

La probabilidad condicional :

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

En el cual:

P(B|A) es la probabilidad de que ocurra el evento B, dado que A sucedió.  

[tex]P(A \cap B)[/tex] es la probabilidad de que ocurran tanto A como B.  

P(A) es la probabilidad de que ocurra A.

En esta pregunta :

Evento A: Estudiante A aprueba.

Evento B: Estudiante B aprueba.

La probabilidad de que el estudiante A apruebe un examen de MM-100 es 0.6

Entonces [tex]P(A) = 0.6[/tex]

La probabilidad de que ambos estudiantes aprueben es 0.3

Entonces [tex]P(A \cap B) = 0.3[/tex]

¿Cual es la probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3}{0.6} = 0.5[/tex]

0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.

Answer:

6

[tex] \sqrt{2} [/tex]

Answer: a

Step-by-step explanation:

Step-by-step explanation:

what does this problem description really say ? what is the area of that square ?

36 ?

s3×6 ?

s³×6 ?

5³×6 ?

2³×6 ?

(5×3)×6 ?

(2×3)×6 ?

and these are just the options that I can see right away without really thinking about it.

in any case, the solution is to draw the square root of the area, and then multiply the result by 4.

why ?

because the area of a square is the square of the length of one of its side - like for any rectangle the area is length×width, but in a square length = width, so the area is length×length = length².

therefore, sqrt(area) = sqrt(length²) = length.

and the perimeter of the square is the way all around the whole square (4 sides), which is then

length + length + length + length = 4×length

from all the possibilities I listed up there, only 36 and (2×3)×6 lead to nice round numbers.

as the area would be in both cases 36.

sqrt(36) = 6

and the perimeter would be 6×4 = 24

Step-by-step explanation:

a. x+10.

b. (5)(x)(x+10)=V

c. 5×8×18=720

d. 5,8,18

e. Yes, the dimensions all stay the same so the volume should be the same.

Answer:

Don't write the " ^ " that I'm typing, that's just showing its to the power of 2 (squared)

1. x^2 + y^2 = 100

2. (x+1)^2 + (y-8)^2 = 25

3. (x+5)^2 + (y+5)^2 =20

4. x^2 + y^2 = 85

5. x^2 + (y+2)^2 = 40

graph 6) middle of circle (dot) at origin (0,0), 5 out in every direction

graph 7) middle of circle (dot) at (-2, 1), 2 out in every direction

graph 8) middle of circle (dot) at (0, -3), 1 in every direction

graph 9) middle of circle (dot) at (1, 1), 4 in every direction

Step-by-step explanation:

Hope these are right, I just kind of banged them out real quick :)