algebra: please check the picture, there is 2 question
answer for 50 point

Answer:

−12

Step-by-step explanation:

8 - 5 = -3

-3 x 4 = -12

Answer:

−12

Step-by-step explanation:

8−(5)(4) = -12

Answer:

Autobiographies and memoirs. Diaries, personal letters, and correspondence. Interviews, surveys, and fieldwork. Internet communications on email, blogs, listservs, and newsgroups. Photographs, drawings, and posters. Works of art and literature. Books, magazine and newspaper articles and ads published at the time. Public opinion polls. Speeches and oral histories

Answer:

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Given two legs of a right triangle and we need to find the hypotenuse.

Use Pythagorean theorem:

The matching choice is C.

When two straight lines or rays intersect at a shared endpoint, an angle is generated. The exact value of cosine(7π/8) is 0.912939.

When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."

The given angle can be written in degree form as,

(7π/8) radian = (7π/8) × (180/π) = 157.5°

The exact value of cosine(7π/8) can be written as,

Cosine (7π/8) = Cosine(157.5°) = 0.912939

Hence, The exact value of cosine(7π/8) is 0.912939.

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Answer:

D. -sqrt(2+sqrt(2))/2

Step-by-step explanation:

Took the test and this was the correct answer

The height of the projectile after 4 seconds is 421.28 ft.

The projectile is in the air for 8.015 seconds.

The horizontal distance traveled by the projectile is 881.77 ft.

The maximum height of the projectile is 464.1 ft.

To solve this problem, we can use the kinematic equations of motion for a projectile.

Let's assume that the initial height of the projectile is zero.

What is the height of the projectile after 4 seconds:

We can use the equation:

\(y = yo + vot + 1/2at^2\)

where

y = height of the projectile

yo = initial height (zero in this case)

vo = initial vertical velocity = 220 sin(60°) = 190.53 ft/sec

a = acceleration due to gravity \(= -32.2 ft/sec^2\) ( negative since it acts downwards)

t = time = 4 sec

Plugging in the values, we get:

\(y = 0 + (190.53)(4) + 1/2(-32.2)(4)^2 = 421.28 ft\)

Therefore, the height of the projectile after 4 seconds is 421.28 ft.

Long is the projectile in the air:

The time of flight of a projectile can be calculated using the equation:

t = 2vo sinθ / g

where θ is the launch angle and g is the acceleration due to gravity.

Plugging in the values, we get:

t = 2(220 sin(60°)) / 32.2 = 8.015 sec

Therefore, the projectile is in the air for 8.015 seconds.

Horizontal distance traveled by the projectile:

The horizontal distance traveled by the projectile can be calculated using the equation:

\(x = xo + vot + 1/2at^2\)

where

x = horizontal distance traveled

xo = initial horizontal position (zero in this case)

vo = initial horizontal velocity = 220 cos(60°) = 110 ft/sec

a = acceleration due to gravity (zero in the horizontal direction)

t = time = 8.015 sec

Plugging in the values, we get:

\(x = 0 + (110)(8.015) + 1/2(0)(8.015)^2 = 881.77 ft\)

Therefore, the horizontal distance traveled by the projectile is 881.77 ft.

Maximum height of the projectile:

The maximum height of a projectile can be calculated using the equation:

\(ymax = yo + (vo^2 sin^2 \theta ) / 2g\)

Plugging in the values, we get:\(ymax = 0 + (190.53^2 sin^2(60\degree )) / (2)(32.2) = 464.1 ft\)

Therefore, the maximum height of the projectile is 464.1 ft.

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No, the expression (x^3 - 1) / (x^2 - 1) does not simplify to x.

To simplify the expression, let's first factorize both the numerator and denominator.

The numerator can be factorized using the difference of cubes formula: a^3 - b^3 = (a - b)(a^2 + ab + b^2). So, we have (x^3 - 1) = (x - 1)(x^2 + x + 1).

The denominator is a difference of squares: a^2 - b^2 = (a - b)(a + b). Therefore, (x^2 - 1) = (x - 1)(x + 1).

Now, we can simplify the expression by canceling out the common factors in the numerator and denominator:

[(x - 1)(x^2 + x + 1)] / [(x - 1)(x + 1)]

The (x - 1) terms cancel out, leaving us with:

x^2 + x + 1 / (x + 1)

So, the simplified form of the expression is (x^2 + x + 1) / (x + 1), which is not equal to x.

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The value of the limit of the function f(x) = x² - 2 is 7.

The value of the limit of the function f(x) = -3x + 15 is -6.

We have,

To evaluate the limit as x approaches 3, we need to find the limit of function f(x) as x approaches 3 from both sides of 3.

First, let's evaluate the limit from the left side of 3:

lim x → 3⁻ f(x) = lim x → 3⁻ (x^2 - 2)

Substituting x = 3 - h (where h approaches zero) gives:

lim h → 0⁺ [(3 - h)^2 - 2]

= lim h → 0⁺ [9 - 6h + h^2 - 2]

= lim h → 0⁺ [h^2 - 6h + 7]

= 7

(since the limit of a quadratic function as h approaches zero is the constant term)

Next, let's evaluate the limit from the right side of 3:

lim x → 3⁺ f(x)

= lim x → 3⁺ (-3x + 15)

= -6

Since the limit from the left side is not equal to the limit from the right side, the limit of f(x) as x approaches 3 does not exist.

Thus,

The value of the limit of the function f(x) = x² - 2 is 7.

The value of the limit of the function f(x) = -3x + 15 is -6.

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There will be 319 boards be required

and the total cost be $223,720.

Given, a classroom ceiling measures 6.8m by 4.7m. It is covered by boards measuring 1m by 1m.

Now, we have to find the number of boards needed altogether

So, the area of the ceiling is

Area = 6.8×4.7

Area = 319.6 m²

Now, the area of the board is

Area = 1 m²

So, 319 boards will be required to cover the ceiling.

Now, if one board costs $700 then,

the total cost be

= 700×319.6

= $223,720

Hence, There will be 319 boards be required

and the total cost be $223,720.

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Since the ratio of pink markers to total markers is 1:3, then there are 8 pink markers.

Number of yellow markers given = 16

Based on the information given, therefore, the pink markers will be half of the yellow markers. This will be:

= 1/2 × 16

= 8 markers

Therefore, the total markers will be:

= 8 + 16 = 24

In conclusion, pink markers will be 8/24 = 1/3. Therefore, the number of pink markers is 8.

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the ratio of students do not wear glass to total students

\(\frac{12}{25}\)

the ratio of students wear glass to total number of students is

\(\frac{13}{25}\)

Given

In a class of 25 students, 13 students wear glasses and 12 students do not wear glasses

The ratio of glasses to non-glasses wearing students is 13:12.

Explanation :

we need to find the ratio students wear glasses to whole students

There are total of 25 students.

13 students wear glass

So the ratio of students wear glass to total number of students is

\(\frac{13}{25}\)

Similarly , we can find the ratio of students do not wear glass to total students

\(\frac{12}{25}\)

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Step-by-step explanation:

By Pythagoras's theorem,

hypotenuse^2 = 12^2 + 9^2

hypotenuse = ±15mm (rej -15mm since hypotenuse > 0mm)

therefore, 15mm

Topic: Pythagoras theorem

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Answer:

Put the numbers,cross lowhigh pairs,add the leftover numbers,divide the sum by 2

Step-by-step explanation:

It is correct

Answer:

1. Put the numbers in order

2. Cross off low/high pairs

3. Add the leftover numbers

4. Divide the sum by 2.

9514 1404 393

Answer:

Step-by-step explanation:

We can group tickets into a group that has 2 student tickets and 1 adult ticket for a price of 2($1.25) +2.25) = $4.75. The number of these groups sold is ...

  $1425/4.75 = 300

300 adult tickets and 600 student tickets were sold.

The graph for the linear equation y = - 4 x + 2 has been obtained.

We are given a linear equation:

y = - 4 x + 2

We need to graph this linear equation.

We will first find out some points that satisfies this equation.

So, the points are:

 x           y

- 2         10

- 1           6

0           2

1          - 2

2         - 6

Now plotting these points on the graph, we can obtain the graph of the linear equation.

Therefore, the graph for the linear equation y = - 4 x + 2 has been obtained.

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The slope of the line is 6.

What is a point on a line?

In geometry, a point is a place. It is completely empty, meaning it has no width, length, or depth. A dot indicates a point. A line is described as a collection of points that stretches in both directions indefinitely.

Given table is

x   12    13    14    15

y   -4     2     8     14

The points on the lines are (12,-4), (13,2), (14,8), (15,14).

The formula of slope of a line that passes through the points (x₁, y₁) and (x₂, y₂) is (y₂ - y₁)/(x₂ - x₁).

Now consider two points (12,-4), (13,2) to find the slope:

m = (2 - (-4))/(13 - 12)

m = (2 + 4)/1

m = 6/1

m = 6

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The used values are;

p = $10,000

r = 3.3%

n = 9 years

And, The amount after 9 years will be $14,593.

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

A bank features a savings account that has an annual percentage rate of r = 3.3% with interest compounded quarterly.

And, Maia deposits $10,000 into the account.

Now,

Since, The interest rate is for compounded quarterly.

So, The used formula is,

⇒ \(A = P (1 + \frac{r}{4} )^n^t\)

Here, P = $10,000

r = 3.3% = 0.033

n = 4

t = 9

Substitute all the values, we get the amount after 9 years,

⇒ \(A = P (1 + \frac{r}{4} )^n^t\)

⇒ A = $10,000 (1 + 0.033/4)³⁶

⇒ A = $10,000 (1 + 0.008)³⁶

⇒ A= 10,000 × (1.008)³⁶

⇒ A = 10,000 x 1.45

⇒ A = $14,593

Thus, The amount after 9 years will be $14,593.

Therefore, The used values are;

p = $10,000

r = 3.3%

n = 9 years

And, The amount after 9 years will be $14,593.

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Answer:

12

Step-by-step explanation:

Answer : 12

Step-by-step explanation:

The method that i used here was FOIL

(2 - 2i)(3 + 3i)

2x3=6

2x3i=6i

-2ix3=-6i

-2ix3i=-6i^2

6 + 6i - 6i - 6i^2

6-6i^2

i^2 is also known as (-1)

6 - 6(-1)

6 + 6

= 12

The solution of the inequality 3x < 13 is x < 4.33.

None of the given option is correct.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

An inequality,

3x < 13.

Simplifying,

x < 4.33

The graph is given in the attached image.

Therefore, the solution is x < 4.33.

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Answer:

  (a)  y = x/8

  (b)  y = 7/8

Step-by-step explanation:

You want a direct variation equation that relates x and y, given y = 2 when x = 16.

The equation for direct variation is usually written in the form ...

  y = kx

where k is the constant of proportionality.

The value of k can be found from ...

  k = y/x . . . . divide by x

For the given values, k is ...

  k = 2/16 = 1/8

The direct variation equation is ...

  y = (1/8)x

The value of y for x=7 is found by substituting 7 for x in the equation above:

  y = (1/8)·7

  y = 7/8

<95141404393>

Answer:

ln(\(x^{9}\) * \(y^{8}\))

Step-by-step explanation:

property:  ln( A * B ) =  ln(A) + ln(B)  :)

ln(\(x^{9}\)) + ln(\(y^{8}\))

property:  ln(\(A^{x}\)) = xln(A)

9*ln(x) + 8*ln(y)   ;)

Answer:

10.5

Step-by-step explanation:

Given the two similar triangles below, which proportion is not true?

i need help with this can ya help

Sorry i know this isnt an answer.

Answer:

Wow that is great

Step-by-step explanation:

is there a question? uhhhmmmmm

Answer:

x=42

Step-by-step explanation:

step 1: multiply 3 to both sides of the equation to isolate x

then you get x=14x3=42

x=42

Answer:

X=42

Step-by-step explanation:

14 * 3= 42

14 = x/3

14= 42/3

divide

14=14

Answer:

9

Step-by-step explanation:

Factor for 18 are:

1,2,3,6,9,18

Factors for 27 are:

1,3,9,27

Hope I helped <3

Answer:

A.

Step-by-step explanation:

The vertical line test is a way of finding out if a relation is a function.

Graph the relation.

Then imagine a vertical line moving from left to right over the graph of the relation.

If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.

This function passes the vertical test since it never intersects more than one point on the vertical line at a time.

Answer: A.

Answer: It’s angle measures

Step-by-step explanation: iready

Answer:

5/27

Step-by-step explanation: