Jeff wants to save $4000 to buy a used car. He has already saved $850. He plans to save an additional $150 each week. write and solve an equation to represent the number of weeks remaining w until he can afford the car.

Answer:

1=60 degrees, 2=60 degrees, 3=120 degrees 4=67 degrees, 5=23 degrees 6=37 degrees

Step-by-step explanation:

180 degrees in any triangle

1: 180-(49+71)

2: 1 and 2 are opposite and opposite angles are equal

3: 360 -(angle 1+angle 2) then divide by 2

4: 180-(53 + angle 2)

5: 180-(angle 3+angle 6)

6: 90 degrees in a right angle so 90 degrees - 53 degrees

Answer:

Rewrite the function as an equation. y= 3/7 Use the slope-intercept form to find the slope and y-intercept. Slope: 0 Y-intercept: 3/7 Hope this can help

Step-by-step explanation:

For x=9 movies, the costs of A and B are equal and the equation in terms of A is A=22+2x.

When two expressions are connected with the equals sign (=) in a mathematical formula, it expresses the equality of the two expressions. For instance, an equation in French is described as having one or more variables, whereas in English, an equation is any properly written formula that consists of two expressions linked by the equals sign.

Determine which values of the variables result in the equality to be true in order to solve an equation with variables.

For plan A, cost is $22 and $2 per movie then, for x movies

A=22+2x

For plan B, cost $13 and $3 per movie then, for x movies

B=13+3x

The costs of A and B equal then,

22+2x=13+3x

x=9

For x=9 movies, the costs of A and B are equal  and the equation in terns of A is A=22+2x.

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Total amount spend by Mr. Josh is,

⇒ $7,978

We have to given that,

Mr. Josh spends $153 every week on gas to get to work.

Since, We know that,

1 year = 52.1429 weeks

Here, Mr. Josh spends $153 every week on gas to get to work.

Hence, Amount Mr. Josh spend annually to go to work is,

⇒ $153 × 52.1429

⇒ $7,978

Therefore, Total amount spend by Mr. Josh is,

⇒ $7,978

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Answer:

y=5+10x

Add 10x to both sides of the equation.

Answer:

Angle T is congruent to Angle Z

Step-by-step explanation:

Since the 2 triangles are equal, that means that each pair of angles are also congruent. To know which angles are congruent, you check th order of how the triangles are named. Ex. Angle Q is congruent to Angle A, Angle P is congruent to Angle R, and Angle T is congruent to Angle Z.

A system of inequalities that can be used to model the scenario is d + a ≤ 300 and 10d ≥ 1,200.

A system of inequalities is two or more inequalities that must be proved simultaneously.

A system of inequalities contains at least two linear inequalities in the same variables.

Systems of inequalities are applied when there are a range of solutions and more than one constraint.

Inequalities may include greater than, less than, not equal to, equal to but less than, and equal to but greater than.

The total capacity of people the auditorium can hold = 300

The cost per ticket at the door = $10

The cost per ticket in advance = $7.50

Tickets cannot exceed 300

Door tickets must generate at least $1,200

Let the number of tickets sold at the door = d

Let the number of tickets sold in advance = a

10d + 7.5a ≤ 300

10d ≥ 1,200

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Answer:

A) (x-4)(x+16)

Step-by-step explanation:

\(x^2+12x-64\\=x^2-4x+16x-64\\=x(x-4)+16(x-4)\\=(x+16)(x-4)\)

The surface area of the cube given in the above diagram would be = 1922.46 in².

To calculate the surface area of the cube, the formula that should be used would be given below as follows:

Surface area of cube = 6(a)²

a = side length= 17.9

SA=6(17.9)²

= 6×320.41

= 1,922.46 in²

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Answer:

Hundred thousands place.

Answer:

In this case the number 7 would be located in the hundreds of thousands.

---

Thank you so much for participate in the community of Brainly.com

I hope help you :)

Kind regards, Antonio.

Answer:

A

Step-by-step explanation:

A

Answer:

Q9 -  Option 1---- A -  15.6 Square Units

Q10 --Option --- (B) RECTANGLE

Step-by-step explanation:

Q9 --

we know area of triangle  = 1/2 ab sin theta

Where theta is the angle included between sides A and side B

A  = 5.2

B = 7

theta  = 121 degrees

1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units

Conclusion

The area of the triangle is 15.6 Square Units

Option --- (B) RECTANGLE

Hope this helps!

Answer:

  (c)  x³·∛x

Step-by-step explanation:

You want the simplified form of ∛(x¹⁰).

The first part of the problem tells you how to get there. After you have that expression, you need to bring the x⁹ term from under the radical.

  \(\sqrt[3]{x^{10}}=\sqrt[3]{x^9\cdot x}=\sqrt[3]{x^9}\cdot\sqrt[3]{x}=\boxed{x^3\cdot\sqrt[3]{x}}\qquad\text{matches choice C}\)

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Step-by-step explanation:

If x=10

\(\tt{ x^2-2(x+5) }\) ⠀

\(\tt{ (10)^2-2×(10+5) }\) ⠀

\(\tt{100-2×15 }\) ⠀

\(\tt{ 100-30 }\) ⠀

\(\bold{ 70 }\) ⠀

Answer:Therefore, the equation of the line with a slope of 9/7 and containing the midpoint of the line segment with endpoints (2, -3) and (-6, 5) is:

y = (9/7)x + 25/7.

Step-by-step explanation:Step 1: Find the midpoint of the line segment.

The midpoint formula is given by:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Given the endpoints of the line segment as (2, -3) and (-6, 5), we can find the midpoint as follows:

Midpoint = ((2 + (-6)) / 2, (-3 + 5) / 2)

Midpoint = (-4 / 2, 2 / 2)

Midpoint = (-2, 1)

So, the midpoint of the line segment is (-2, 1).

Step 2: Write the equation of the line using the slope-intercept form.

The slope-intercept form of a line is given by:

y = mx + b

where m is the slope and b is the y-intercept.

Given the slope as 9/7, we have:

y = (9/7)x + b

Step 3: Substitute the coordinates of the midpoint to find the value of b.

Using the coordinates of the midpoint (-2, 1), we can substitute these values into the equation:

1 = (9/7)(-2) + b

1 = -18/7 + b

To find the value of b, we can solve this equation:

1 + 18/7 = b

25/7 = b

Step 4: Write the final equation of the line.

Using the value of b, the equation becomes:

y = (9/7)x + 25/7

Answer:

AnB=3,7

AuB=3,7,1,5,6,8,9,12,13,14

=1,3,5,6,7,8,9,12,13,14

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Based on the data given in the table, B. Median for both coffee shops because the data distribution is not symmetric

It is better to describe the centers of distribution in terms of the median rather than the mean for both coffee shops because the data distribution is not symmetric.

The median is a better measure of central tendency in this case because it is not influenced by outliers or extreme values, which may exist in the data.

The mean, on the other hand, is sensitive to outliers and may not provide an accurate representation of the data distribution.

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Answer:

the set of all real numbers -1≤y≤1

Step-by-step explanation:

according to the definition of 'sin'-function, the max value of it is '+1' and the min is '-1'. Finally, the correct answer is B. the set of all real numbers -1≤y≤+1.

This won't be the easiest way to do this problem but as your teacher requires it I will do it that way. But at the end I will show another way to do it with the quadratic formula.

First complete the square

x^2-3x+1=0

(x^2-3x+9/4)+1=9/4

(x-3/2)^2=9/4-1

(x-3/2)^2=5/4

x-3/2=±\(\sqrt{\frac{5}{4}\)

x= 3/2±\(\frac{\sqrt5}{2}\)

Done!

*Now this next way is not the way your teacher wants you to do it but I personally think its easier.

Just use the quadratic formula x=[-b±sqrt(b^2-4ac)]/2

x=[3±sqrt(9-4*1*1)]/2

x=(3±sqrt5)/2

x=3/2±sqrt5/2

We get the same answer but I think this way is easier. Now if your teacher ask for the top way just do the top way don't do the bottom because you will lose points, its just a shorter way to do things. Now I hope this helped and any additional questions about this just ask me in the comments.

Answer:

The greatest possible whole-number length of unknown side = 9 inches.

Step-by-step explanation:

Complete Question

Two sides of an acute triangle measure 5 inches and 8 inches. The longest side is unknown. What is the greatest possible whole-number length of the unknown side?

Solution

An extension of the Pythagoras' theorem explains that 'If c is the longest side of an acute triangle and a & b are other two sides of the acute triangle, the three sides are related through the expression

c² < a² + b²

c² < 5² + 8²

c² < 25 + 64

c² < 89

c < 9.43

Hence, the greatest possible whole-number length of unknown side = 9 inches.

Hope this Helps!!!

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Answer:

(B) 25%

Step-by-step explanation:

Answer:

function

Step-by-step explanation:

For every value of 'x' ....there is only ONE value of 'y'

  so it IS a function

The particle travels approximately 45.63 units along the path. The displacement is the straight-line distance between the initial and final positions of the particle is 2781.

To find the distance the particle travels along the path, we can integrate the speed over the interval of time. The speed of the particle is given by the magnitude of its velocity vector.

The velocity vector is the derivative of the position function r(t):

\(v(t) = (d/dt)(t^3/3, t^2, 2t)\)

\(= (t^2, 2t, 2)\)

The speed of the particle at any given time t is:

|v(t)| = √((t^2)^2 + (2t)^2 + 2^2)

= √(t^4 + 4t^2 + 4)

= √((t^2 + 2)^2)

To find the distance traveled along the path, we integrate the speed function over the given interval of time. The particle travels from t = -1/3 to t = 9.

distance = ∫[from -1/3 to 9] |v(t)| dt

= ∫[from -1/3 to 9] |t^2 + 2| dt

= ∫[from -1/3 to 0] -(t^2 + 2) dt + ∫[from 0 to 9] (t^2 + 2) dt

= [-1/3 * t^3 - 2t] (from -1/3 to 0) + [1/3 * t^3 + 2t] (from 0 to 9)

Evaluating the definite integrals:

distance = [-1/3 * 0^3 - 2 * 0 - (-1/3 * (-1/3)^3 - 2 * (-1/3))] + [1/3 * 9^3 + 2 * 9 - (1/3 * 0^3 + 2 * 0)]

= [0 - (1/3 * (-1/27) + 2/3)] + [1/3 * 729 + 18]

= [1/27 + 2/3] + [729/3 + 18]

= 1/27 + 2/3 + 729/3 + 18

= 1/27 + 18/27 + 729/3 + 18

= (1 + 18 + 729)/27 + 18

= 748/27 + 18

= 27.63 + 18

= 45.63 units (approximately)

Therefore, the particle travels approximately 45.63 units along the path.

To find the average speed, we divide the distance traveled by the time taken. The time taken is 9 - (-1/3) = 9 1/3 = 28/3.

average speed = distance / time

= 45.63 / (28/3)

= 45.63 * (3/28)

= 4.9179 units per unit time (approximately)

The displacement is the straight-line distance between the initial and final positions of the particle.

displacement = |r(9) - r(-1/3)|

= |(9^3/3, 9^2, 2 * 9) - ((-1/3)^3/3, (-1/3)^2, 2 * (-1/3))|

= |(27, 81, 18) - (-1/27, 1/9, -2/3)|

= |(27 + 1/27, 81

= 2781.

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According to the rule, the table is:

x|y

2|3

3|5

4|7

The translation of the rule to a math expression is:

\(y = 2x - 1\)

Then, for x = 2:

\(y = 2(2) - 1 = 4 - 1 = 3\)

For x = 3:

\(y = 2(3) - 1 = 6 - 1 = 5\)

For x = 4:

\(y = 2(4) - 1 = 8 - 1 = 7\)

Thus, the table is:

x|y

2|3

3|5

4|7

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The sum of geometric series is also undefined for x = -4

What is geometric series ?

A geometric series is a series of numbers where each term is found by multiplying the previous term by a fixed constant called the common ratio. The general form of a geometric series is:

\(a + ar + ar^2 + ar^3 + ...\)

where "a" is the first term, and "r" is the common ratio between consecutive terms.

The sum of a geometric series can be calculated using the formula:

\(S = a(1 - r^n) / (1 - r)\)

where "S" is the sum of the series up to "n" terms.

According to the question:
We can use the formula for the sum of an infinite geometric series:

\(sum(a*r^n, n=0 to infinity) = a / (1 - r)\)

where a is the first term and r is the common ratio.

In this case, a = 1 (when n = 0) and r = x+5. Therefore, the sum of the series is:

\(sum((x+5)^n, n=0 to infinity) = 1 / (1 - (x+5)) = 1 / (6-x)\)

When x = -6, the sum becomes:

\(sum((-6+5)^n, n=0 to infinity) = sum((-1)^n, n=0 to infinity)\)

This series does not converge, as the terms alternate between 1 and -1 and do not approach a single value. Therefore, the sum is undefined for x = -6.

When x = -4, the sum becomes:

\(sum((-4+5)^n, n=0 to infinity) = sum(1^n, n=0 to infinity)\)

This series is a simple geometric series with a = 1 and r = 1, so the sum is:

\(sum((1)^n\), n=0 to infinity) = 1 / (1 - 1) = undefined

Therefore, the sum is also undefined for x = -4.

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Answer:

chi-square

Step-by-step explanation:

According to the given situation, Chi-square statistic would be considered for as we have to determine whether working hours and smoking are attached with each other or not.

To know whether working hours based on smoking or there is an important relationship between both- So Chi-square statistic would be used

Therefore the test that should be used is chi-square