* Which expression ((7 ^ 2) ^ 5)/(7 ^ 6) I need help

Answer:

What is the slope of the line that is parallel to the given line and passes through the given point?

-1/4

What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the given point?

y + 4 = -1/4(x + 2)

What is the y-intercept of the line that is parallel to the given line and passes through the given point?

-9/2

Step-by-step explanation:

Good lcuk for anyone who needs this<3

The equation of the line in point slope for is expressed as [tex]y - 2 = 3/2(x - 2)[/tex]

Since the line cross the y-axis at -1, hence the y-intercept of the line that is parallel to the given line and passes through the given point is (0, -1)

The equation of a line in point-slope form is expressed as:

y - y0 = m(x - x0)

m is the slope

(x0, y0) is any point on the line

Using the coordinate points (2, 2) and (-2, -4)

Determine the slope

Slope = -4-2/-2-2
Slope = -6/-4
Slope = 3/2

Using the point (2, 2), the equation of the line in point slope for is expressed as:

[tex]y - 2 = 3/2(x - 2)[/tex]

Since the line cross the y-axis at -1, hence the y-intercept of the line that is parallel to the given line and passes through the given point is (0, -1)

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Solve for y in the first equation.

Answer:

[tex]P =5x-260[/tex]

Step-by-step explanation:

Given

[tex]R = 3x^2 + 4x - 60[/tex] --- Revenue

[tex]C = 3x^2 - x + 200[/tex] --- Cost

Required

The expression for profit (P)

This is calculated as:

[tex]P =R - C[/tex]

So, we have:

[tex]P =3x^2 + 4x - 60 - (3x^2 -x+200)[/tex]

Open bracket

[tex]P =3x^2 + 4x - 60 - 3x^2 +x-200[/tex]

Collect like terms

[tex]P =3x^2 - 3x^2+ 4x +x- 60-200[/tex]

[tex]P =5x-260[/tex]

If the profit is the difference between the revenue and the cost, 5x – 260  expression represents the profit. Correct option is 3.

The profit is calculated by subtracting the cost from the revenue. In mathematical terms, the profit (P) can be represented as:

Profit (P) = Revenue - Cost

Among the given options:

1. 3x - 260

2. 3x + 140

3. 5x - 260

4. 5x + 140

We need an expression where the first term represents the revenue and the second term represents the cost, so that when we subtract the cost from the revenue, we get the profit.

Option 3, 5x - 260, fits this pattern:

- Revenue: 5x

- Cost: 260

When we subtract the cost from the revenue:

Profit (P) = Revenue - Cost = 5x - 260

So, option 3, 5x - 260, is the expression that represents the profit.

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Complete question is:

If the profit is the difference between the revenue and the cost, what expression represents the profit?

1. 3x – 260

2. 3x + 140

3. 5x – 260

4. 5x + 140

Answer:

Step-by-step explanation:

Answer:

x = [tex]7\sqrt{2}[/tex]

Step-by-step explanation:

a is the hypotenuse of the right angled triangle ehereas the other two sides are legs of a right angle triangle .

since the other two sides are equal both should be denoted as x.

now the value of a is given i.e 14 m

using pythagoras theorem,

pythagoras theorem states that sum of square of two smaller sides of a right triangle is equal to the sum of square of hypotenuse. so,

a^2 + b^2 = c^2

x^2 + x^2 = 14^2

2x^2 = 196

x^2 = 196/2

x^2 = 98

x = [tex]\sqrt{98}[/tex]

x = [tex]7\sqrt{2}[/tex]

Answer:

[tex]x=7\sqrt{2}[/tex]

Step-by-step explanation:

The given triangle is a right isosceles triangle. This means that it is a triangle with two congruent sides and a right angle (indicated by the box around one of the angles). One of the properties of a right isosceles triangle is that it follows the following sides-ratio,

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

Where (x) represents the legs (sides adjacent to the right angle of a right triangle) or the congruent sides in this case. ([tex]x\sqrt{2}[/tex]) represents the hypotenuse or the side opposite the right angle. Form a proportion based on the given information and solve for the unknown value (x).

[tex]x=\frac{a}{\sqrt{2}}[/tex]

Substitute,

[tex]x=\frac{14}{\sqrt{2}}[/tex]

Simplify,

[tex]x=\frac{14}{\sqrt{2}}\\\\x=\frac{14*\sqrt{2}}{\sqrt{2}*\sqrt{2}}[/tex]

[tex]x=\frac{14\sqrt{2}}{2}[/tex]

[tex]x=7\sqrt{2}[/tex]

Answer:

[tex]\sec \upsilon = -\sqrt{5}[/tex]

Step-by-step explanation:

Given a point in rectangular form and by definition of trigonometric relations, we know that the secant associated to the vector is:

[tex]\sec \upsilon = \frac{\sqrt{x^{2}+y^{2}}}{x}[/tex] (1)

If we know that [tex]x = -3[/tex] and [tex]y = 6[/tex], then the secant of the vector is:

[tex]\sec \upsilon = \frac{\sqrt{(-3)^{2}+6^{2}}}{(-3)}[/tex]

[tex]\sec \upsilon = -\sqrt{5}[/tex]

Answer:

a

Step-by-step explanation:

just took the test

Answer:

90 hours of training would you need to pay

Answer:

90hours

Step-by-step explanation:

Addition of 10 hours= Addition of 150$

an=a+(n-1)d

2450=1250+(n-1)(150)

120/15=n-1

8+1=n

n=9

and 9x10=90 (each n=10hours)

Thus:

B. 90 hours

Brianliest please

Answer:

The length if the garden is 21 meters.

The width of the garden is 5.25 meters.

If the scale changes to 1 cm : 9 meters, the new length of the garden is 63 meters and the new width of the garden is 15.75 meters.

The new length of the garden is 3 times as long as the original length of the garden.

Answer:

D/4 - 21

C/3 - 5.25

D/4 - 63

C/3 - 15.75

B/2 - 3

Step-by-step explanation:

Answer: 56 m

Step-by-step explanation:

Given

The dimension of the garden is [tex]16\ m\times 12\ m[/tex]

So, the wire needed to fence around it is equal to the perimeter of the garden

[tex]\Rightarrow P=2(16+12)\\\Rightarrow P=2\times 28\\\Rightarrow P=56\ m[/tex]

Answer:

the answer is the third option

Step-by-step explanation:

Question options:

A. The mean is the best comparison of the measures of center.

B. The juniors tended to have higher essay scores than the sophomores.

C. The medians of both data sets are equal.

D. The interquartile range is the best comparison of the measure of variability.

E. A histogram is the best way to show that both distributions are nearly symmetric.

Answer:

B. The juniors tended to have higher essay scores than the sophomores.

C. The medians of both data sets are equal.

E. A histogram is the best way to show that both distributions are nearly symmetric.

Explanation:

A histogram is used to represent data in a bar graph like manner. In a histogram, the bars lie along the x axis, each within the range of intervals while the y axis is used to count the frequency of occurrence that determines the area of each bar in the graph. Using a histogram, we can find B, C, and E from the options given above.

Answer: Thought I’d return the favor and help u with this question! But anyways, the axis of symmetry is at x = -3.

Explanatio: This can be found by looking at the basic form of vertex form:

y = (x - h)^2 + k

In this basic form the vertex is (h, k). By looking at what is plugged into the equation, it is clear that h = -3 and k = -4. This means the vertex is at (-3, -4).

It is a fact that the axis of symmetry is a vertical line of x = (vertex value of x). So we can determine that the axis of symmetry is at x = -3

i hope this helps u

Answer:

[tex]Area = 52\sqrt3 \ ft^2[/tex]

Step-by-step explanation:

Area of trapezoid

                         [tex](\frac{a+ b}{2}) \times h[/tex]      -----------( 1 )

We will split the trapezoid into Triangle and rectangle. To find the height and full length of base.

[tex]sin 60 = \frac{opposite}{hypotenuse}[/tex]   [tex][ opposite \ in \ the \ equation \ \ is \ the \ height \ of \ the \ trapezoid ][/tex]

[tex]\frac{\sqrt3}{2} = \frac{opposite }{ 8}\\\\\frac{\sqrt3}{2} \times 8 = opposite\\\\4\sqrt3 = opposite[/tex]

Therefore, h = 4√3 ft

[tex]cos 60 = \frac{adjacent}{hypotenuse}[/tex]    [tex]adjacent \ in \ the\ equation \ is \ the\ base \ of \ the \ triangle ][/tex]

[tex]\frac{1}{2} = \frac{adjacent}{hypotenuse}\\\\\frac{1}{2} \times 8 = adjacent\\\\4 = adjacent[/tex]

Therefore, a = 11 feet, b = 11 + 4 = 15 feet

Substitute the values in the Area equation :

                                                [tex]Area = \frac{11 + 15}{2} \times 4 \sqrt3 = \frac{26}{2} \times 4\sqrt3 = 13 \times 4\sqrt3=52\sqrt3 \ ft^2[/tex]

Answer:

yes.

Step-by-step explanation:

it is correct

Answer: Yes, this is correct.

Answer:

Girls: 50

Boys: 36

A) 60°

Step-by-step explanation:

86-14=72

72÷2=36

Girls=36+14=50

Boys=36

115+115+70=300

360-300=60°

Answer:

36 boys and 50 girls

the remaining angle measures 60°

Step-by-step explanation:

x = boy count

x + 14 = girl

x + x + 14 = 86

2x + 14 = 86

2x = 72

x = 36

x + 14 = 50

36 boys and 50 girls

the 4 angles of a quadrilateral = 360°

115° + 115° + 70° + x = 360°

300 + x = 360°

x = 360 - 300

x = 60°

The remaining angle measures 60°

Answer:

find the coordinates and then do subtract the first one, for example for line segment AB, do (1,6) and  (5,1)

(1,6) (5,1)

1-6 = -5

5-1 = 4

answer is -5/4 and that is the slope of the line.

Continue with the rest please like how i did the example

Answer:

1

----------

x+1

Step-by-step explanation:

2x+12

----------------

2x^2 + 14x+12

Factor

2(x+6)

-------------------

2(x^2+7x+6)

2(x+6)

--------------

2(x+6)(x+1)

Cancel like terms

1

-------------

(x+1)

Answer:

44 degrees

Step-by-step explanation:

The angles x + 2 and x are complementary; they sum up to 90 degrees.

Thus, x + 2 + x = 90 degrees, or:

2x = 88, or

x = 44.

The value of x is 44 degrees.

1) angle HJI

2) angle IJH

Answer:

If cashews cost $5.60 per pound and peanuts cost $2.30 per pound, how many pounds of each must he mix?

Step-by-step explanation:

Answer:

PRQ = 86 degrees

Answer:

The sequence converges to 1.

Step-by-step explanation:

Sequence 2/4, 3/5, 4/6, 5/7

This sequence can be summarized as:

[tex]\sum_{n=0}^{\infty} \frac{n+2}{n+4}[/tex]

To test if it converges, we can calculate the limite of [tex]\frac{n+2}{n+4}[/tex] as n goes to infinite.

Limit:

[tex]\lim_{n \rightarrow \infty} \frac{n+2}{n+4}[/tex]

Considering only the terms with the highest exponent in the numerator and the denominator:

[tex]\lim_{n \rightarrow \infty} \frac{n+2}{n+4} = \lim_{n \rightarrow \infty} \frac{n}{n} = \lim_{n \rightarrow \infty} 1 = 1[/tex]

Thus, the sequences converges to 1.

Answer:

4.9 x 10^5

Step-by-step explanation:

the answer is 4.9 x 10^5

Answer: Graph A

Step-by-step explanation:

Answer:

[tex]8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3 = -6m^6 - mn^5 - 5m^3n^3 + 14m^2n^4 + 8mn^5 + n^6[/tex]

Step-by-step explanation:

Given

[tex]8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3[/tex]

Required

Correctly combine the like terms

We have:

[tex]8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3[/tex]

Collect like terms (in decreasing degrees of m)

[tex]- 2m^6 - 4m^6 - mn^5- m^3n^3 - 4m^3n^3+ 5m^2n^4 + 9m^2n^4 + 8mn^5 + n^6[/tex]

[tex]-6m^6 - mn^5 - 5m^3n^3 + 14m^2n^4 + 8mn^5 + n^6[/tex]

So:

[tex]8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3 = -6m^6 - mn^5 - 5m^3n^3 + 14m^2n^4 + 8mn^5 + n^6[/tex]

Answer:

Distribute the 3 on the left hand side

Step-by-step explanation:

3 (x − 2) = 2x + 7

Distribute the 3 on the left hand side

3x -6 = 2x +7

Then subtract 2x from each side

Answer:

Step-by-step explanation:

Answer:

364 messages

Step-by-step explanation:

The king uses 14 flags in all and arranged 3 at a time to send a code to his general. The number of coded messages that can be sent by the king can be determined by;

Total number of colored flags = 14

Number of flags arranged per time = 3

So that,

[tex]^{14} C_{3}[/tex] = [tex]\frac{14!}{(14 - 3)!3!}[/tex]

       = [tex]\frac{14!}{11!3!}[/tex]

       = [tex]\frac{14*13*12*11!}{11!3!}[/tex]

       = [tex]\frac{14*13*12*11!}{11!3*2!}[/tex]

       = 364

[tex]^{14} C_{3}[/tex] = 364

The number of coded messages that can be sent by the king is 364.