write the equation in slope intercept form. what are the slope and y-intercept? -5x-12y=11

Answer:x-(2 7/8)=1/2

Step-by-step explanation:

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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The 99% confidence interval for the true population mean backpack weight is approximately (68.15, 71.85) ounces, rounded to two decimal places.

To construct a 99% confidence interval for the true population mean backpack weight, we can use the formula:Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √Sample Size).

Since the population standard deviation is known, we can use the z-distribution and find the critical value corresponding to a 99% confidence level. The critical value for a 99% confidence level is approximately 2.576.

Given that the sample mean weight is 70 ounces, the population standard deviation is 6.4 ounces, and the sample size is 48, we can calculate the confidence interval:

Confidence Interval = 70 ± (2.576 * 6.4 / √48).

Simplifying the expression, we get:

Confidence Interval ≈ 70 ± 1.855.

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Answer:

3

Step-by-step explanation:

4(9)/ 12

36/12

3/1

3

therefore 3 is the the sum

Horizontal changes are often the opposite of what you'd expect to see in the formula.

12:

To shrink/compress horizontally by a factor of 2/3, you need \(g(x) = f(\frac{3}{2}x)\).

Notice we have the reciprocal inside of the function notation.

13:

To translate left 5 units, you have \(g(x) = f( x+5 )\).

Notice we have the opposite sign inside of the function notation.

Step-by-step explanation:

The formula:

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=

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2

(

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1

+

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)

S

n

=

2

n

(a

1

+a

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is used to solve for the sum of the arithmetic sequence given the first term a₁, the number of terms n, and the last term in an.

Example:

3, 6, 9, 12, 15,...,123

The first term, a₁ = 3

The last term an = 123

Common difference, d = 3 (because the sequence are multiples of 3)

Number of terms, n= ?

Find the number of terms, n:

an = a₁ + (n-1) (d)

123 = 3 + (n-1) (3)

123 = 3 - 3 + 3n

123/3 = 3n/3

n = 41

To find the sum of the given sequence without adding 3 + 6 + 9, ... + 123, we use the formula:

S₄₁ = (41/2) (3 + 123)

S₄₁ = (41/2) (126)

S₄₁ = (41)(63)

S₄₁ = 2,583 ⇒ the sum of the given sequence

Answer:

Step-by-step explanation:

Correct option is B)

The answer is:

Work/explanation:

Bear in mind that the sum of all the angles in a triangle is 180°.

Given two angles, we can easily find the third one.

Let's call it x.

Next, we set up an equation:

\(\sf{54+87+x=180}\)

\(\sf{141+x=180}\)

Subtract 141 on each side.

\(\sf{x=180-141}\)

\(\sf{x=39}\)

Answer:

70 feet

Step-by-step explanation:

35 x 2 = 70

Graph 2 represents that the function is positive for the entire interval [-3,-2].

A function is a relation in which each possible input value leads to exactly one output value. We say “the output is a function of the input.” The input values make up the domain, and the output values make up the range.

We are given four different graphs for different functions. We have to find the graph that is positive for the entire interval [-3,-2].

We make the following observation from the given graphs.

1. In graph 1 the function has a value of 0 at -3 and the value decreases from -3 to -2. Thus the function is negative in the given interval.

2. In graph 2, it can be clearly seen that the function has a positive value, through the entire given interval.

3. In graph 3, the function shows negative value entirely in the given interval.

4. In graph 4, the function exhibits both positive and negative value in the given interval and in not positive in the entire interval.

Thus, the function in graph 2 is positive for the entire interval [-3,-2].

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Answer:

0.8

Step-by-step explanation:

3(5x+2)+10=4

=15x+6+10=4

After this step you subtract 6 from each side and then subtract 10 from each side and then after that you divide 15x on each side which will give you 0.8.

Answer:

41

Step-by-step explanation:

Answer:

Step-by-step explanation:

We see the figure formed by the route is symmetric and

The total distance is the perimeter of the polygon

1. AB is horizontal line, 2 units long (from -1 to 1)

2. BC = √((5-1)²+(2 -(-1))²) = √(16 + 9)= √25 = 5 miles

3. CD = √(13-2)² + (5-1)²) = √121+16 = √137 = 11.7 miles

Total

Close option is option B

Answer:

2x<8-5(collect the like terms)

2x< -3

divide both sides by 2

x < -3/2

Answer:

x = 1.5

Step-by-step explanation:

2x + 5 < 8                                                                                                                                      

     -5    -5

     2x/2 = 3/2

x = 1.5

Answer:

a. ∠ABE  b. ∠DC   c. obtuse  angle  d.∠ FBC: OBTUSE ANGLE    

                                                              ∠EBF: REFELX ANGLE

                                                              ∠ABC: ACUTE ANGLE

e. ∠ DBC                f. 108+117 ÷36= 6.25

Step-by-step explanation:

Answer:

2 + 5 x a = 22

Step-by-step explanation:

Answer:

x=–2

Step-by-step explanation:

x-8=-10

x=-10-8

x=–2

Answer:

-8= -10

, = -10+8

, = -2

Answer: 84

Step-by-step explanation:

4 x 21 is 84 a fraction can be simplified and be a whole number so if 84 divided by 4 it will be 21 if you want to write it as a fraction it will be 21/1 which is equal to 21

Did it help? :)

Answer:

1)    \(\frac{4}{-3}\)

2) \(\frac{3}{2}\)

Step-by-step explanation:

To find the slope, we can use the slope formula:
\(\frac{y2 - y1}{x2 - x1}\)

1. Through (4,-3) and (-2,5):

Slope = \(\frac{5 - (-3)}{-2 - 4}\)

Slope = \(\frac{8}{-6}\)

Simplified to: \(\frac{4}{-3}\)

2. Through (2, -1) and (0, -4)

Slope = \(\frac{-4 - (-1)}{0 - 2}\)

Slope = \(\frac{-3}{-2}\)

Slope = \(\frac{-3}{-2} \cdot \frac{-1}{-1} = \frac{3}{2}\)

Meaning that the slope of 1) is    \(\frac{4}{-3}\) and the slope of 2) is \(\frac{3}{2}\).

Hope this helps!

Step-by-step explanation:

a. area of shaded region= area of rectangle -area of triangle

area= (17*14)-(1/2*8.7*9.5.sin72)

= 159.4m²

b.20l cover 20m²

so 159.4l would cover 159.4m²

20m²-->(cost)$ 21.99

159.4-->?

(21.99*169.4)÷20

=$175.3

Answer: multiples of 4 are -4,8,12,16,20,24,28,32,36,40,44,48,52

Step-by-step explanation:

4x1=4

4x2=8

4x3=12

4x4=16

4x5=20

4x6=24

4x7=28

4x8=32

4x9=36

4x10=40

4x11=44

4x12=48

4x13=52

Answer:

208

Step-by-step explanation:

52×4=208

Answer:

4 pints

Step-by-step explanation:

Well to figure this one out we need the surface area of the cylinder

The formula is :  SA=2πrh+2πr^2

Don't worry about memorizing most of these formula's except the basic ones  for Surface area and Volume in a test the formula's will be given but I do recommend practicing them

Any way lets keep going

Depth of 5ft basically means 5ft in height (to let you know)

2*pi*3*5+2*pi*3^2

SA=150.796447372 ft^2  rounded is basically 151

any way we know one pint paints 50 ft^2

so  151/50 is 3 remainder 1 so you will need 4 pints except you will barley use 1 pint

Using the percentage concept, it is found that 60.29% of the people surveyed were completely satisfied with the car.

A percentage is the number of desired outcomes, multiplied by 100%, and divided by the number of total outcomes.

In this problem, researching in the internet, it is found that:

A total of 1260 + 650 + 180 = 2090 people were surveyed.

Of those, 1260 were completely satisfied.

Hence:

60.29% of the people surveyed were completely satisfied with the car.

The profit function for a furniture company introducing a new line of lounge chairs is P(x) =\(-8.32x^2 + 1,248x - 36,400\), where x represents the number of chairs to be manufactured and sold.

The problem provides the revenue function and cost function for a furniture company introducing a new line of lounge chairs. To find the profit function, we need to subtract the cost function from the revenue function.

The revenue function R(x) is given as 1,248x - \(8.32x^2\), where x represents the number of chairs manufactured and sold. This function calculates the total revenue obtained by the company by multiplying the number of chairs sold (x) by the price of each chair (1,248 - 8.32x).

The cost function C(x) is given as 36,400 - 83.2x. This function calculates the total cost incurred by the company to manufacture x chairs, which includes both fixed and variable costs.

To find the profit function for the furniture company, we need to subtract the cost function C(x) from the revenue function R(x):

P(x) = R(x) - C(x) = (1,248x - \(8.32x^2\)) - (36,400 - 83.2x)

Simplifying this expression, we get:

P(x) =\(-8.32x^2\) + 1,248x - 36,400

Therefore, the profit function for the furniture company is P(x) = \(-8.32x^2\) \(+ 1,248x - 36,400\).

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Answer:

Step-by-step explanation:

The correct answer is a. A larger sample size was used.As per the Law of Large Numbers, the more times an experiment is repeated, the closer the actual results will be to the expected probability. In this case, rolling the cube 100 times provides a larger sample size than rolling it only 20 times. The more rolls that are made, the greater the likelihood that the actual results will converge towards the expected probability of 1/2 for rolling an even number.Option b, The 100 tosses were controlled better, is not relevant to this scenario since the fairness of the cube is assumed.Option c, The expected probability changed when the cube was rolled 100 times, is not true. The expected probability of rolling an even number on a fair six-sided die is always 1/2, regardless of the number of times it is rolled.Option d, The thrower considered only the even rolls, and disregarded the odd rolls, is not a valid assumption. The question states that the number of even rolls was recorded, but it does not imply that odd rolls were disregarded.

I suppose you meant z > 0, or meant to use x's in place of z's…

If z > 0, then

\(\dfrac{20\sqrt{z^6}}{\sqrt{16z^7}} = \dfrac{20\sqrt{\left(z^3\right)^2}}{\sqrt{4^2\left(z^3\right)^2z}} = \dfrac{20\left|z^3\right|}{4\left|z^3\right|\sqrt{z}} = \boxed{\dfrac{5}{\sqrt{z}}}\)

because

\(\sqrt{z^2} = |z|\)

and if z is positive, we have |z| = z, and we can eliminate common factors of z in the fraction,

\(\dfrac{\left|z^3\right|}{\left|z^3\right|} = \dfrac{z^3}{z^3} = 1\)

Answer:

x = 19

Step-by-step explanation:

the question tells you that the angle CBD is 90°.

so, that means that angle DBE and angle CBE add up to 90.

using this, you can make the following equation:

2x - 1 + 5x - 42 = 90

2x + 5x + -43 = 90

7x - 43 = 90

add 43 to both sides

7x = 90 + 43

7x = 133

x = 133/7

x = 19

Answer:

If the base and the negative exponent is in the denominator already

Step-by-step explanation:

Normally, a base with a negative exponent moves to the denominator.

Example: (2^-3 = 1 / (2)^3 = 1/8)

However, if the base and the negative exponent is already in the denominator, the base would move to the numerator and the exponent would become positive.

Example:  2 / (3)^-3 = 2 * 3^3 = 2 * 27 = 54