Laura is playing a performance on her piano for a contest. The contest states that she must play a 10-minute piano song (600 seconds) and her timing must be perfect. For each second she goes over or under 10 minutes, 2 points are taken off. Which expression can be used to determine the number of points that should be taken off her score if she plays for s seconds?a. 10|s-5| b. 10|s-600| c. 2|s-5| d. 2|s-600|

The value of x is 17° due to the pair of angles being complementary.

The complementary angles are defined as when pairing of angles addition to 90° then they are called complementary angles. There are two types of supplementary angles.

Adjacent angles: Adjacent angles are the type of supplementary angles. Adjacent angles have a common side and vertex, for example, a corner point. Their points do not overlap in any way. In other terms, adjacent angles are pairs of two angles next to each other.

We have been given that the pair of angles as

(3x + 1)° and (4 + 2x)°

Here, the pairing of angles sums up to 90° then they are called complementary angles.

So 3x + 1 + 4 + 2x = 90°

⇒ 5x + 5 = 90°

⇒ 5x = 85°

⇒ x = 17°

Therefore, the value of x is 17°.

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Answer:

Step-by-step explanation:

f(-2) = -4(-2) + 1 = 8 + 1 = 9

Answer:

− 2 f

Step-by-step explanation:

Move  

− 2  to the left of  f .

The instantaneous rate of change at x = 2 is equal to the derivative, which is 2.

The derivative of f(x) = 2x - 5 with respect to x can be found by applying the power rule of differentiation, which states that the derivative of x^n is n*x^(n-1).

Taking the derivative of f(x) = 2x - 5:

f'(x) = 2 * (d/dx)(x) - (d/dx)(5)

= 2 * 1 - 0

= 2.

The derivative of f(x) with respect to x is a constant, 2, indicating that the function has a constant slope.

Therefore, the instantaneous rate of change at x = 2 is equal to the derivative, which is 2.

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Answer:

128

Step-by-step explanation:

So first convert 12 1/2% into a decimal. Which is 0.125. Then do 16 divided by 0.125, giving you 128 as the answer. So therefore, the missing number is 128.

22 divided my 2 is 11

Answer:

22 divided by 2 is 11

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

You are asking a question trying to suggest whether it can be done later

Answer:

A

Step-by-step explanation:

Answer:

A. 72

Step-by-step explanation:

There are two ways to solve this problem. First of all, this quadrilateral is a trapezoid because the top two angles are congruent and there is one pair of parallel lines. One way to solve the problem is to remember all trapezoids have a measure of 360. So, mD=360-(108+108+72); this equals 72. Additionally, in a trapezoid, the bottom two angles are always congruent; therefore, angle D must equal 72 degrees.

The correct answer is (c) sec^2α.

What is the Pythagorean theorem?

Pythagoras Theorem is the way in which you can find the missing length of a right angled triangle.

The expression tan^2α + 1/secα can be simplified using trigonometric identities. Recall the following trigonometric identities:

tan^2α + 1 = sec^2α (Pythagorean identity for tangent)

secα = 1/cosα (definition of secant)

Substituting these identities into the original expression, we get:

tan^2α + 1/secα = sec^2α + 1/secα

Now, we can combine the terms with a common denominator:

(sec^2α * secα + 1)/secα

Using the definition of secant (secα = 1/cosα), we can further simplify:

(1/cos^2α * 1/cosα + 1)/secα

Multiplying numerator and denominator by cos^3α, we get:

(1 + cosα)/secα

Recalling that secα = 1/cosα, we can replace secα with its definition:

(1 + cosα)/(1/cosα)

Finally, multiplying the numerator and denominator by cosα, we get:

cosα + 1/cosα

Hence, the equivalent expression for tan^2α + 1/secα is cosα + 1/cosα, which is equivalent to sec^2α for all values of α for which secα is defined. Therefore, the correct answer is (c) sec^2α.

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Answer:

f

Step-by-step explanation:

Green vines attached to the trunk of the tree had wound themselves toward the top of the canopy. Ants used the vine as their private highway, avoiding all the creases and crags of the bark, to freely move at top speed from top to bottom or bottom to top depending on their current chore. At least this was the way it was supposed to be. Something had damaged the vine overnight halfway up the tree leaving a gap in the once pristine ant highway.

The whole numbers will be:

{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}

Remember that a square root will have a whole number as an outcome only if the input is a square number.

Then, what we can do here is just find all the square numbers smaller than 200.

1*1 = 1

2*2 = 4

3*3 = 9

4*4 = 16

5*5 = 25

6*6 = 36

7*7 = 49

8*8 = 64

9*9 = 81

10*10 = 100

11*11 = 121

12*12 = 144

13*13 = 169

14*14 = 196

Then, if we take the square roots of all the natural numbers from 1 to 200, we will have 14 whole numbers as outcomes, and these will be:

{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}

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Answer:

22

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

put 2 fingers up then put up 2 more then count them all

Abracadabra 4

The blue shaded portion on the top left side is described as forming lines pass through (6, 0) and (0, -2) and intersect at (0, -2).

This corresponds to the shaded portion W. D.

To graph the system of inequalities y ≥ 1/3x - 2 and y ≤ -4x - 2, we will plot the lines corresponding to each inequality and shade the region that satisfies both inequalities.

First, let's graph the line y = 1/3x - 2.

We can find two points on this line and connect them with a straight line:

Using (6, 0):

y = 1/3(6) - 2

y = 2 - 2

y = 0

So we have the point (6, 0).

Using (0, -2):

y = 1/3(0) - 2

y = -2

So we have the point (0, -2).

Plotting these two points and drawing a line through them, we get a line labeled as Line 1.

Next, let's graph the line y = -4x - 2 using the same process:

Using (0.5, 0):

0 = -4(0.5) - 2

0 = -2 - 2

0 = -4

So we have the point (0.5, 0).

Using (0, -2):

-2 = -4(0) - 2

-2 = -2

So we have the point (0, -2).

Plotting these two points and drawing a line through them, we get a line labeled as Line 2.

Now, we need to shade the region that satisfies both inequalities.

The shaded region will be the region where Line 1 is above Line 2.

Based on the given descriptions of the shaded portions W, X, Y and Z we can determine the correct option.

The blue shaded portion on the top left side is described as forming when lines pass through (0.5, 0) and (0, -2) and intersect at (0, -2).

This corresponds to the shaded portion X.

The blue shaded portion on the left side is described as forming when lines pass through (0.5, 0) and (0, -2) and intersect at (0, -2).

This corresponds to the shaded portion Y.

The blue shaded portion on the bottom left side is described as forming when lines pass through (6, 0) and (0, -2) and intersect at (0, -2).

This corresponds to the shaded portion Z.

Based on this information, we can determine the correct option:

A. X

B. Y

C. Z

D. W

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Answer:

cant solve this problem

sorry !!

hope you understand me ☺️

The number in standard form will be 16 thousand 6 hundred.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ (9 × 10) + (4 × 100) + (6 × 1,000) + (1 × 100) + (2 × 10) + (9 × (1,000 + 100 + 10)

Simplify the expression, then we have

⇒ (9 × 10) + (4 × 100) + (6 × 1,000) + (1 × 100) + (2 × 10) + (9 × (1,000 + 100 + 10)

⇒ [(9 + 2 + 9) × 10] + [(4 + 1 + 9) × 100] + [(6 + 9) × 1,000]

⇒ 15 × 1,000 + 14 × 100 + 20 × 10

⇒ 16 × 1,000 + 6 × 100

The number in standard form will be 16 thousand 6 hundred.

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Answer:

the statement 'the dilation changed the orientation of the figure' is NOT true

Step-by-step explanation:

the only transformations that can change a figure's orientation is a reflection, not a dilation like is shown.

the first statement is true because it is an enlargement of the shape

the third is true (look at point I and I', point I is (2,2) and becomes (4,4) which follows 2x 2y)

and the fourth is true because the ratios are 1:1:1:1 for both shapes

The simplified expression is  c²a³ - 3\(a^4\)c +  a²bc² - a³bc  - 3\(a^4\)b+ 4ab²c² - 22a²b²c + 36a³b + 12a³b² / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²).

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

c +6b/(-2bc-6ab- 3a²) + 2b/(a² + 2ab) - b/(ac - 3a²)

Now, simplifying

(c+ 6b) (a² + 2ab)(ac - 3a²) + 2b(-2bc-6ab- 3a²)(ac - 3a²)- b (-2bc-6ab- 3a²)(a² + 2ab) / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

= ca² + abc + 6a²b + ab² (ac - 3a²) + (4b²c - 12ab² - 6a²b)(ac - 3a²) - ( -2b²c - 6ab² - 3a²b)(a² + 2ab) / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

= c²a³ - 3\(a^4\)c + a²bc² - 3a³bc + 6a³bc - 18\(a^4\)b + 4ab²c² - 12a²b²c - 12 a²b²c+ 36a³b - 6a³bc + 18\(a^4\)b + 2a²b²c +  4a³bc + 6a³b² + 12a²b³  - 3\(a^4\)b + 6a³b² / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

= c²a³ - 3\(a^4\)c +  a²bc² - a³bc  - 3\(a^4\)b+ 4ab²c² - 22a²b²c + 36a³b + 12a³b² / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)

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The vectors AB are parallel and the ratio between them is 3:1

To determine whether the line segments AB and CD are parallel, we can first find the direction vectors of each line segment. The direction vector of a line segment is the vector that points from the initial point to the final point of the segment.

The direction vector of AB can be found by subtracting the position vectors of A and B:

AB = b - a = (2i + 3j) - (i + j + k) = i + 2j - k

The direction vector of CD can be found by subtracting the position vectors of C and D:

CD = d - c = (k - j) - (3i + 5j - 2k) = -3i - 6j + 3k

Two vectors are parallel if they are scalar multiples of each other. We can check whether AB and CD are parallel by comparing their components. If AB and CD are parallel, then the ratios of the corresponding components should be equal.

For AB and CD to be parallel, we need to find a scalar k such that AB = kCD. We can find k by comparing the components of AB and CD:

i: 1 = -3k

j: 2 = -6k

k: -1 = 3k

Solving these equations simultaneously, we get k = -1/3. Therefore, AB and CD are parallel with a ratio of lengths of 3:1 (or 1:3, depending on the order in which you consider the line segments). In other words, the length of AB is three times the length of CD.

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3 number of sides

Step-by-step explanation:

sum of interior angles= (n-2)180°

=> 60x=(x-2)180

60x=180x-360

=> 60x-180x=180x-180x-360

-120x=-360=> x=3

Simply count the number of red marbles in each sample and divide by the total number of marbles in the sample (16). Then, take the average of those proportions to estimate the proportion of red marbles in the jar as a whole

Based on the information provided, the best conclusion we can make is an estimate of the proportion of red marbles in the jar. We can use the four random samples of 16 marbles to calculate the proportion of red marbles in each sample, and then take the average of those proportions to estimate the overall proportion of red marbles in the jar.

It's important to note that this estimate may not be perfectly accurate, since the samples are small and may not perfectly represent the entire jar. However, it's a useful way to get an idea of how many red marbles are in the jar without having to count all of them.

To calculate the proportion of red marbles in each sample

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There is no change in its slope as initial and final slope is 1.

What is slope?

In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.

Main body:

formula for slope with two points form is =

y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)

according to question ,

points are (0,0) and (3,3)

y - 0 = (3-0/3-0)(x -0)

y = 3/3 *x

y = x

hence slope of line is 1.

Now points are (0,0) and (-3,-3).

y - 0 = (-3-0/-3-0)(x -0)

y =- 3/-3 *x

y = x

hence slope of line is 1.

So there is no change in its slope.

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Answer:

y = \(\sqrt{55}\)

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem

(altitude)² = product of parts of hypotenuse

then

y² = 11 × 5 = 55 ( take square root of both sides )

y = \(\sqrt{55}\)

Answer: 54

Step-by-step explanation: coz I juss know

Answer:

-25

Step-by-step explanation:

= 2*(2) - 28 - 1

= 4 - 29

= -25

Given:-

\( \: \)

Solution:-

\( \: \)

\( \: \)

\( \: \)

\( \: \)

━━━━━━━━━━━━━━━━━━━━━━━

hope it helps! :)

Answer:

Step-by-step explanation:  x=number of glasses sold

55<0.75x

55/0.75<x

x>73 ⅓

they have to sell at least 74

answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

Let the number her brother has = x

She has 5 times as many so she has 5x

Together they have 42:

X + 5x = 42

Add x and 5x to get 6x:

6x =42

Divide both sides by 6:

X = 7

The brother has 7

Carla has 5*7 = 35

Answer: Carla has 35 notebooks

Answer:

About 11 Weeks

Step-by-step explanation:

I found out by multiplying 11 by 20 and got 220. Then, adding 50 is 270, which is just over 259. It's not ten because 200 is just underneath his goal.

The linear function is given as follows:

\(y = \sqrt{x} + 4\)

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The y-intercept is of 4, hence the parameter b is given as follows:

b = 4.

The line is inclined to 60° with the positive direction of X-axis, hence the slope m is given as follows:

m = tan(60º)

\(m = \sqrt{3}\)

Thus the function is given as follows:

\(y = \sqrt{x} + 4\)

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From the sale of 90 items, 400 items and 720 items rank from smallest to largest the amount of profit received 90 items, 720 items and 400 items. So the option b is correct.

In the given question, the graphs of a company's total revenue function and total cost function are shown.

At the unit 90 there is negative profits, the total cost is greater than the total cost. The profit is the largest where the gap between the total cost and total revenue curves are at the highest. The firm earns the largest profit when the firm is producing the 400 units. As the firm moves to the 720 units the profits declines.

The profit is found out bu deducting the total revenue from the total cost.

Profit = TR-TC

Hence, from the sale of 90 items, 400 items and 720 items rank from smallest to largest the amount of profit received 90 items, 720 items and 400 items. So the option b is correct.

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The right question is given below:

Answer:

Yes it is parallelogram because diagonals bisect each other.