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The function shown on the graph is a sine function.

In the question, we are asked to identify the function that has been shown in the graph.

A trigonometric function called sin x, where x is the angle under discussion, stands for the sine of an angle. The sine function is the proportion between the perpendicular and hypotenuse of a right-angled triangle. In other words, it is the ratio of the hypotenuse to the side opposite the angle under examination, and its value changes as the angle changes. In the study of physics, sound and light waves are represented by the sine function.

Since sin x is defined for any x in (-∞, ∞) the domain of the sine function is all real integers. As the value of sin x does not exceed this, its range is [-1, 1], in contrast. The sine function's graph resembles an oscillating wave between -1 and 1. Additionally, sin x has a period of 2π since its value repeats every 2π radians. The domain and range of sine function can also be observed via its graph.

The graph shown in the figure satisfies all the conditions of being a sine graph.

Thus, the function shown on the graph is a sine function

.

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Daniella: Were you thinking of perpendicular lines?

Ori: It seems like you've got the basic idea, but your definition could be more precise.

Kaori: Yes! Well done. Here, have a cookie. You've earned it.

Answer:

Yes you are correct

Step-by-step explanation:

1/3 / 3/5 = 1/3 / M

3*1/3 / 5*3/5 = 3*1/3 / 5M

3/3 / 15/5 = 3/3 / 5M

1/3=1/(5M)

5M * 1/3 = 1

5M * 3 * 1/3 = 1 * 3

5M=3

M=3/5 √

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

N1(T) = 10T² + 45T + 400

N2(T) = 5T² – 25T + 250

Step 02:

functions:

N(T) = N1(T) + N2(T)

N(T) = (10T² + 45T + 400) + (5T² – 25T + 250) = 15T² + 20T + 650

The answer is:

N(T) = 15T² + 20T + 650

Answer:

Question 3) c.

Question 4) d.

Step-by-step explanation:

For the first question, it would be c., x is greater than and equal to -5. On the graph, there is a point at, (-5, -4). This restricts the graph from being all real numbers and the x value can't be less than -5. Since the point is a closed circle, it includes the point, so the domain will be -5, and everything greater than that value, making it C.

For the next question its asking for the range of the given graph. The range is based on y values. Domain is based on x values. There is a point at (-5, -4). Restrict the values of y to not be anything less than -4. And since the function continues and increases to positive infinity, the range would have to be y is greater than and equal to -4, making it d.

Answer:

y = x + 60

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line

m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1

the line crosses the y- axis at (0, 60 ) ⇒ c = 60

y = x + 60 ← equation of line

Answer:

3 adult tickets and 4 child tickets

Step-by-step explanation:

a + k = 7

a = 7 - k

12a + 9k = 72

12a + 9k = 72

12(7 - k) + 9k = 72

84 - 3k = 72

84 - 3k = 72

3k = 12

k = 4

a = 3

The number of adult tickets purchased is 3 and the number of child tickets purchased is 4.

Given that, adult tickets cost $12 and child tickets cost $9.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

If they spent $72 total and purchased 7 tickets.

Let the number of adult tickets be x, then the number of children tickets will be 7-x.

Now, 12x+9(7-x)=72

⇒ 12x+63-9x=72

⇒ 3x=72-63

⇒ 3x=9

⇒ x=3

So, 7-x=4

Therefore, the number of adult tickets purchased is 3 and the number of child tickets purchased is 4.

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The solution ax2 + bx + c = 0 can be solved using  quadratic equation

x = (-b (b2 - 4ac))/2a to get the roots of the problem.

Just using equations x = ax2 + bx + c = 0 and a 0, a quadratic function is a 2nd polynomial problem in one variable. It is a third polynomial problem, hence the foundational theorem of algebra guarantees that there is least one solution. There may also be real or sophisticated solutions. The quadratic formula makes solving any quadratic equation easier for us. In order to solve this equation, we must first change its form to appear as ax2+bx+c=0, in which a, b, and d are the coefficients. Therefore, we add these coefficients to the method: (-b(b2-4ac))/ (2a).

Here,

The problem ax2 + bx + c = 0 can be solved using

the method x = (-b (b2 - 4ac))/2a to get the roots of the problem.

D = b² - 4ac provides the discriminant value. If D > 0, the equation has two genuine, separate roots.

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Answer:

First answer is infinitely many.  It doesn't matter what x is.

Second answer is x = -5.

Step-by-step explanation:

8 + x = 3

x = - 5

Answer:

Since you have 6 apples and a friend adds 400 to it

400+6=406 apples

But you have to give your sister half so just divide it by 2

406 divide by 2=203

So it means give your sister 203 and keep 203

The answer is 203

Answer:

The smaller addend is subtracted from the bigger addend

Step-by-step explanation:

Represent the two numbers with a and b such that a > b

So, the mathematical representation will be

\(+a + (-b)\)

Open the bracket

\(+a -b\)

This implies that the smaller addend (b) is subtracted from the bigger addend (b)

Take for instance; a = 6 and b = 4

This gives

\(+6 + (-4)\)

Open the bracket

\(= +6 - 4\)

\(= 2\)

Based on the given histogram, the data is skewed with a maximum range of 49.

This is because the frequency bars are not evenly distributed across the x-axis intervals, indicating that the data is not symmetric. The lack of a shaded bar for the 40 to 49 interval also suggests that there were fewer donations in that range compared to the other intervals.

One possible explanation for this skewness could be that the charity had suggested donation levels, with a minimum of $10, resulting in a large number of donations in the 10 to 19 interval. Additionally, the shaded bar stopping at 1 for the 30 to 39 and 50 to 59 intervals suggests that there were fewer donations in those ranges. This could be due to a variety of reasons, such as donors being more likely to give in the suggested $10 increments, or the charity's fundraising efforts being more effective at attracting donors in certain age or income brackets.

Overall, the histogram does not suggest a bimodal distribution, as there is not a clear separation between two distinct modes. The maximum range of 49 also indicates that there were no extreme outliers or large donations that would skew the data towards a higher range. Therefore, it is likely that the data represents a typical distribution of donations to a charity, with most donors giving smaller amounts and fewer donors giving larger amounts.

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The amount withheld in FICA Tax for Sol Berenson's weekly earnings is given as follows:

$749.7.

To calculate the amount withheld by Berenson's employer in FICA tax, we apply the proportion of the FICA tax to his total earnings.

Researching on a web search, the FICA tax rate is given as follows:

15.3% = 0.153.

As the FICA tax is a combination of the Medicare tax with the Social Security tax.

Sol Berenson's gross weekly earnings are given as follows:

$4,900.

(as stated in the problem).

The amount withheld is 15.3% of that, which is found applying the proportion, which is the multiplication of 0.153 by 4900 as follows:

Amount Withheld = 0.153 x 4900 = $749.7.

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Answer:

eight less than a number

Answer:

(x+6)^2+(y-7)^2= 29

Step-by-step explanation:

general exqn-> (x-h)^2+(y-k)^2=(r)^2

here, h= -6 and k=7

r= √ 29

Therefore, exqn of circle=

(x+6)^2+(y-7)^2= 29

Answer:

(x + 6)² + (y - 7)² = 29

Step-by-step explanation:

the equation of a circle in standard form is

(x - h )² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 6, 7 ) and r = \(\sqrt{29}\) , then

(x - (- 6) )² + (y - 7)² = (\(\sqrt{29}\) )² , that is

(x + 6 )² + (y - 7 )² = 29

Answer:

C

Step-by-step explanation:

Your answer is C because got the question right when put C  .

Answer:

(1,5) I think that's what it is

Answer:

15

Step-by-step explanation:

The ounces of shaving cream will be 230 ounces.

Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

In this case, Mrs. Liu is mixing glue and shaving cream to make snowman puff paint for her art class. The ounces of glue to ounces of shaving cream must have a ratio of 7:15. If she is mixing 56 ounces of glue ,the shaving cream will be:

= 56 ÷ 7/15

= 56 × 15/7

= 120

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Answer:

-3 is a solution.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

3 - 4r ≥ 15

Step 2: Solve for r

Step 3: Compare

This is true. -3 is less than or equal to -3.

Answer: 28/52

Step-by-step explanation: its easy

Answer:

28/52. You will get it right.

9514 1404 393

Answer:

  1.  2.5 N

  2.  39 N

Step-by-step explanation:

1. The side ratios are 1.5 : 2 = 3 : 4, so the third side of the triangle will be the one that makes the ratios 3 : 4 : 5 = 1.5 : 2 : 2.5.

  T = 2.5 N

__

2. The side ratios are 15 : 36 = 5 : 12, so the third side of the triangle will be the one that makes the ratios 5 : 12 : 13 = 15 : 36 : 39.

  T = 39 N

_____

The point of learning about "special triangles" is that you can use the ratios of side lengths to solve other problems quickly and easily. Ratios are equivalent when every member of the ratio is multiplied by the same value.

In problem 1, the (3, 4, 5) triple is multiplied by 0.5.

In problem 2, the (5, 12, 13) triple is multiplied by 3.

Answer:

3?

Step-by-step explanation:

Answer: 156.38 m

Step-by-step explanation:

Using the arc length formula, the answer is \(2\pi(8^2) \cdot \frac{140}{360} \approx 156.38\)

The measure of arc angle QTP is 204 degrees.

When a tangent and a secant intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

Therefore, let's find the measure of arc angle QTP as follows:

90 = 0.5(x - 68)

90 = 0.5x - 34

0.5x = 124

x = 124 / 0.5

x = 248 degrees

Where

x = arc angle TSQ

Therefore,

arc QP = 44 degrees

Therefore,

arc QTP = 248 - 44

arc QTP = 204 degrees

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Apologies, but your questions seem to have errors and incomplete information.

For the first question about Jessica and Melissa sharing 12 pieces of dried pears, it is unclear how much Jessica ate as the fraction is missing. Similarly, information about how many pears Melissa ate is also missing. To answer the question accurately, I need the missing information.

For the second question about the children playing in the park, you mentioned that one-third of the children returned home, but you didn't provide the total number of children initially in the park. Without that information, I cannot determine how many children stayed in the park.

Please provide complete and accurate information for a precise answer.

The effect that does NOT relate to one's driving ability is breathalyzer test results indicating a high BAC. Option B.

While the breathalyzer test measures the blood alcohol concentration (BAC), it is a method used to determine the level of alcohol in a person's system and is commonly used in assessing impairment for driving under the influence.

Therefore, it directly relates to one's driving ability and is not excluded from the effects on driving ability caused by a BAC of .2 percent.

On the other hand, options, lack of coordination, impaired gross motor skills, and impaired reactions all directly relate to one's driving ability as they affect the physical and cognitive abilities necessary for safe and efficient driving.

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Answer:

3

Step-by-step explanation:

The answer is three because u need to simply the fractions

Answer:

a. 1,000 yards

b. (2, -1)

Step-by-step explanation:

Coordinates of Ben's House = (6, 2)

Coordinates of Kate's House = (-2, -4)

a. Number of yards between Kate and Ben's House using instance formula, \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \).

\( d = \sqrt{(6 -(-2))^2 + (2 -(-4))^2} \)

\( d = \sqrt{(8)^2 + (6)^2} \)

\( d = \sqrt{64 + 36} \)

\( d = \sqrt{100} \)

\( d = 10 units \)

1 unit = 100 yards

Therefore, 10 units = 1,000 yards.

Kate and Ben's House are 1,000 yards apart.

b. Since Jason's home is halfway between Ben and Kate's House, therefore, Jason's location is the midpoint between Ben and Kate's House. Use the midpoint formula to calculate the coordinates of Jason's location on the map, using (6, 2) and (-2, -4).

\( M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) \)

Plug in the values

\( M(\frac{6 +(-2)}{2}, \frac{2 +(-4)}{2}) \)

\( M(\frac{4}{2}, \frac{-2}{2}) \)

\( M(2, -1) \)