640divided by 90 and 150 divided by 50

Answer:

3x + 2 = 2x + 5

3x = 2x +3

x = 3

3x + 2 =  18

2x + 5 = 11

Step-by-step explanation:

Answer:

3X +2 = 2X +5

grouping of like one's

3X - 2X = 5 -2

subtract

X = 3

Work Shown:

z = (x - mu)/sigma

z = (72.4 - 69.0)/(2.8)

z = (3.4)/(2.8)

z = 1.2142857 .... which is approximate

z = 1.21

Z-score of a man who is 72.4 inches tall is 0.45.

Understanding the concept of the z-score helps us gauge how far a value is from the mean in terms of standard deviations.

A z-score, denoted as , measures the deviation of a data point from the mean in terms of standard deviations. It's calculated using the formula:

= ( - ) /

Where:

- is the value we want to find the z-score for (72.4 inches in this case).

- is the mean of the dataset (69.0 inches).

- is the standard deviation of the dataset (2.8 inches).

Plugging in the values:

= (72.4 - 69.0) / 2.8 = 1.25 / 2.8 ≈ 0.446

Rounded to two decimal places, the z-score is approximately 0.45.

This means that a man who is 72.4 inches tall is roughly 0.45 standard deviations above the mean height of adult men.

In other words, his height is a bit taller than the average height by about 0.45 times the standard deviation.

This positive value indicates that the man's height is above the mean. If the z-score were negative, it would mean the height is below the mean. By using z-scores, we can compare data points from different distributions and understand how unusual or typical a particular value is within its dataset.

Z-scores help us quantify the relative position of a data point, providing a standardized way to interpret its significance in the context of the dataset's characteristics.

In summary, the z-score of a man who is 72.4 inches tall is approximately 0.45, indicating that his height is slightly above the average height of adult men.

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Answer:

2.8625

This is 916 divided by 320

Answer:

Full Answer - 2.8625

Rounded - About 3

Nearest Tenth - 2.9

Nearest Hundredth - 2.86

Step by Step:

Shown Below  

Hope this Helps

Answer:

3x+y=2

Step-by-step explanation:

The equation is in slope intercept form.

y=mx+b

Standard form is given by:

ax+by=c

y=-3x+2

3x+y=2

Answer:

1

first choice

Step-by-step explanation:

in a function, the x-value never repeats.

(found in brainly)

Answer:

[tex]x = 30 \\ y = 10[/tex]

Step-by-step explanation:

[tex]8x + 6y = 300 \\ x + y = 40 \\ 6x + 6y = 240 \\ 2x = 60 \\ = > x = 30 \\ y = 10[/tex]

Answer:

Step-by-step explanation:

Answer:

96 cm or B

Step-by-step explanation:

Base-l*w, 6*6, 36

Side 1-(h*w)1/2, (30)1/2, 15

Side 2-Same as 1

Side 3-Same as 1

Side 4-Same as 1

15+15=30, 15+15=30, 30+30=60, 60+36=96

96 cm

Answer:

1/4 or .25

Explanation

As for this specific question algebra is something I do in my head and skip many steps for however if you want to proof my answer it would be this.

-0.25-16*.25=-0.25-4

-0.25-4=-0.25-4

-4.25=-4.25

For the function  f(x) = -x-4 the value of f(4) is -8.

The given function is f(x) = -x-4.

We need to find the value of f(4).

To find this we have to replace the x value with 4.

Substitute x=4 in the function:

f(4)=-4-4

f(4)=-8

Hence, the value of f(4) is -8.

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Answer:

A picture provided would be better, but here's a picture to help you find an answer to your question.

Step-by-step explanation:

The two angles marked in red are corresponding angles on a pair of parallel lines. Corresponding angles are ALWAYS congruent to each other.

Hope this helps !!

Sorry for my bad handwriting!^_^

Recall the angle sum identity for cosine,

cos(α + β) = cos(α) cos(β) - sin(α) sin(β)

Then given sin(α) = -1/3, we have

cos(α + β) = cos(α) cos(β) + 1/3 sin(β)

α is in quadrant IV, so 3π/2 < α < 2π, and so sin(α) is negative and cos(α) is positive. Then from the Pythagorean identity, we get

sin²(α) + cos²(α) = 1

⇒   cos(α) = √(1 - sin²(α)) = 2√2/3

β is in quadrant III, so π < β < 3π/2, so both sin(β) and cos(β) are negative. If we multiply both sides of the previous identity by 1/cos²(α) and replace α with β, we get

sin²(β)/cos²(β) + cos²(β)/cos²(β) = 1/cos²(β)

⇒   tan²(β) + 1 = 1/cos²(β)

⇒   1/cos(β) = -√(tan²(β) + 1) = -√58/3

⇒   cos(β) = -3/√58

Also recall that by definition,

tan(β) = sin(β)/cos(β)

⇒   sin(β) = tan(β) cos(β) = 7/3 • (-3/√58) = -7/√58

Putting everything together, we find that

cos(α + β) = 2√2/3 • (-3/√58) + 1/3 • (-7/√58) = -(6√2 + 7)/(3√58)

or more clearly,

[tex]\cos(\alpha + \beta) = -\dfrac{6\sqrt2 + 7}{3\sqrt{58}}[/tex]

Step-by-step explanation:

I assume the original expression is

2x² + 16x + 11

we need to get this into the form of a(x + b)² + c

let's do the generic multiplication and compare the result to the given expression :

a(x² + 2bx + b²) + c = ax² + 2abx + ab² + c

when we compare this with the original equation, we only need to look at terms with the same variable exponents.

2x² is the only term with "x²".

and ax² is the only term with "x²" in the generic form.

so ?

2x² = ax²

=>

a = 2

16x is the only term with "x" (exponent 1).

2abx is the only term with "x" in the generic form.

16x = 2abx

8x = abx = 2bx

4x = bx

=>

b = 4

11 is the only pure number (constant).

ab² + c is the only constant term in the genetic form.

11 = ab² + c = 2×4² + c = 2×16 + c = 32 + c

-21 = c

so, the solution is

2(x + 4)² - 21

Answer: ? What are you talking about?

Step-by-step explanation:

Answer:

X=(-1.5, 7.5)

Step-by-step explanation:

Simplifying

4x2 + -24x + -45 = 0

Reorder the terms:

-45 + -24x + 4x2 = 0

Solving

-45 + -24x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(-3 + -2x)(15 + -2x) = 0

Set the factor '(-3 + -2x)' equal to zero and attempt to solve:

Simplifying

-3 + -2x = 0

Solving

-3 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.

-3 + 3 + -2x = 0 + 3

Combine like terms: -3 + 3 = 0

0 + -2x = 0 + 3

-2x = 0 + 3

Combine like terms: 0 + 3 = 3

-2x = 3

Divide each side by '-2'.

x = -1.5

Simplifying

x = -1.5  

Set the factor '(15 + -2x)' equal to zero and attempt to solve:

Simplifying

15 + -2x = 0

Solving

15 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-15' to each side of the equation.

15 + -15 + -2x = 0 + -15

Combine like terms: 15 + -15 = 0

0 + -2x = 0 + -15

-2x = 0 + -15

Combine like terms: 0 + -15 = -15

-2x = -15

Divide each side by '-2'.

x = 7.5

Simplifying

x = 7.5

Solution

x = {-1.5, 7.5}

Answer:

x,2 y,4

Step-by-step explanation:

is this what your looking for?

Answer:

C

Step-by-step explanation:

The shape is composed of a square and a semi circle

area of square = a × a = a²

The diameter of the semi circle is c , then radius = [tex]\frac{1}{2}[/tex] c = [tex]\frac{c}{2}[/tex]

area of semi circle = [tex]\frac{1}{2}[/tex] πr² = [tex]\frac{1}{2}[/tex] π × ([tex]\frac{c}{2}[/tex] )² = [tex]\frac{1}{2}[/tex] π × [tex]\frac{c^2}{4}[/tex] = [tex]\frac{\pi c^2}{8}[/tex]

area of shape = a² + [tex]\frac{\pi c^2}{8}[/tex] → C

Answer:

The answer is...

Step-by-step explanation:

Answer:

James rode further.

Step-by-step explanation:

find the L.C.M

ryan to james - 20/24 < 21/24

Answer:

4. - 11

5. 3

6. 14

7. - 60

that it is

Using the slope value of the functions, the rate per day of hedge trimmer is greater than that of Lawn mower.

The cost function for renting hedge trimmer and Lawn mower :

Hedge trimmer :

Lawn Mower :

The rate per day is given by the slope value of the function.

Hence, the rate per day of hedge trimmer is greater than that of lawn mower.

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The Eubanks Answer:

Step-by-step explanation:hehus

Answers:

[tex]\sqrt[c]{a^b}[/tex]

[tex](\sqrt[c]{a})^b[/tex]

Answer:

first 1 last 1 third 1 and forth 1

Step-by-step explanation:

Answer:

Omg i love geometry hehe your in luck :D

Step-by-step explanation:

15.65 should be your answer if i have calculated correctly.

Answer:

98

Step-by-step explanation:

you at 56 in to 42

Answer:

98

pa brainless

Step-by-step explanation:

please brainless

Answer:

1. -3145

Step-by-step explanation:

I couldnt solve the other one because they don't have a equal sign. Something like 28x-43= ?

Answer:

-37x85= -3145
28x-43=-1204
-53x-98=5194

those are ur answers

Step-by-step explanation:

Answer:

The question or equation is not clear.....

Answer:

m = 4

Step-by-step explanation:

The slope of two given points are:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points of (-11, -2) & (-15, -18).

[tex]m = \frac{-18+2}{-15+11} = \frac{-16}{-4}=\boxed{4}[/tex]

The slope of the line is 4.

Hope this helps.

Answer:

12x + 3 - 4x - 6 = 5

x=1

5x - 4 + 7 + 6x - 4x = 24

x=3

Answer:

you have 41 quarters

Step-by-step explanation:

.....