which is a y intercept of the graphed function​

Answer:

30

Step-by-step explanation:

Answer:

30°

Step-by-step explanation:

That is a right angle

right angles are 90°

90-60 = 30

Answer:

41 minutes

Explanation:

Consider the diagram below:

The angle between the hour and minute hand = 30°+80°=110°

We determine the time she starts below:

She left home at 7:17 AM.

Next, we determine the time she arrived at school.

This means that she arrived at school at 7:58 AM.

Therefore, the number of minutes she takes to walk to school will be:

It

Answer: 15.99

Step-by-step explanation:

16 - 0.01 = 15.99

Another way to think about this is, if you add 0.01 to 15.99, youd get back to 16

Using the unitary method, we find that the store created approximately 37 bags with 15 random cards in each bag.

This problem can be solved using the unitary method. It is given that the

number of Anniversary cards is 163,

number of Birthday cards is 258,

number of Get Well cards is 98

and the number of Thank you cards is 47

So, the total number of cards will be equal to the sum of all these cards, that is,

163+258+98+47

= 566 cards

To create bags of 15 random cards, we have to divide the total number of cards by 15  which gives,

566/15 = 37.734

Thereby, we can say that the store created approximately 37 bags with 15 random cards in each bag.

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The fraction \($\frac{9}{12}$\) can be expressed as the sum of the smaller fraction \($\frac{3}{4}$\).

Ryan grew \($\frac{1}{2}$\) feet in a year.

1. To express the fraction \($\frac{9}{12}$\) as a sum of smaller fractions, we can simplify it by dividing both the numerator and denominator by their greatest common divisor. In this case, the greatest common divisor of \(9\) and \(12\) is \(3\).

So, we can rewrite \($\frac{9}{12}$\) as:

\($\frac{9}{12} = \frac{3 \times 3}{3 \times 4} = \frac{3}{4}$\)

Therefore, the fraction \($\frac{9}{12}$\) can be expressed as the sum of the smaller fraction \($\frac{3}{4}$\).

2. To find how much Ryan grew in a year, we need to calculate the difference between his height this year and his height last year.

Let's convert the mixed fractions to improper fractions for easier computation:

Last year's height: \($4 \frac{3}{4} = \frac{4 \times 4 + 3}{4} = \frac{19}{4}feet\)

This year's height: \($5 \frac{1}{4} = \frac{5 \times 4 + 1}{4} = \frac{21}{4} feet\)

To determine the growth, we subtract last year's height from this year's height:

\($\frac{21}{4} - \frac{19}{4} = \frac{21 - 19}{4} = \frac{2}{4} = \frac{1}{2}feet\)

Therefore, Ryan grew \($\frac{1}{2}$\) feet in a year.

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Answer:

2:6 and 1:3.

Step-by-step explanation:

18 divided by 9 = 2

54 divided by 9 = 6

18 divided by 18 = 1

54 divided by 18 = 3.

Hope that helps. x

Answer : 1:3, 2:6, 3:9, 4:12, 5:15, 6:18, 7:21, 8:24, 9:27, 10:30, etc . . .

Step - by - step explanation :

18:54 divided by 6/6 = 3:9

3:9 divided by 3/3 = 1:3 <-- simplest form :D

For given triangle ABC, the measurement DC will be 90m.

With three sides and three vertices, triangles are a particular type of polygon in geometry. It has three straight sides and is a two-dimensional figure. As a 3-sided polygon, a triangle is included. Three triangle angles added together equal 180 degrees. In one plane, the triangle is contained. The triangle can be categorised into six different types based on its sides and angle measurements.

Triangles can be divided into 3 categories according to their sides, including:

Triangle with scalene dimensions: Each side has a different size.

Triangle with an isosceles shape, in which two of the sides have the same length and the third side is shorter.

All three of a triangle's sides have the same length, or equilateral triangle.

Now for given triangle ABC,

ad² +bd² =ab²  by Pythagoras theorem

ab² =10² +30²

ab² =1000

ab=10√10

and

bc² =cd^2+bd²   by Pythagoras theorem

and also b² =ac² -ab²  by Pythagoras theorem

Therefore,

cd² +bd² =ac² -ab²

cd² +30² =(10+cd)² -1000

cd² +900+1000=100+cd² +20cd

20cd=1800

cd=90m

Hence, For given triangle ABC, DC will be 90m.

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A= √225 = 15 feet far is the roof line from the ground.

According to our question-

c = 17

b = 8

Solve for a where a² + b² = c² in a right triangle.

a² = c² - b² = 289 - 64 = 225

a = √225 = 15 feet

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Answer:

Non-mutually exclusive

Step-by-step explanation:

both events can happen simultaneously... 3 is an odd number, events A and B  have a common outcome.

It would be mutually exclusive if event A was rolling a 4 and event B was rolling an odd number.

===================================================

Explanation:

Ask yourself "is it possible to get a 3 and an odd number at the same time?"

The answer is "yes, because 3 is an odd number"

This is why they are non-mutually exclusive.

Mutually exclusive events cannot happen at the same time. In terms of a venn diagram, mutually exclusive events would be represented by two circles that do not overlap. The overlapping region is where the two events happen at the same time. An example of mutually exclusive events would be flipping a single coin to land on heads and tails at the same time.

Answer: about 14 days or 2 weeks

Step-by-step explanation:

For each given sample result, the p-value and conclusion are as follows:

a. p-value = 0.0067, Conclusion: Reject H0,  b. p-value = 0.0830, Conclusion: Fail to reject H0, c. p-value = 0.0322, Conclusion: Reject H0

d. p-value = 0.6221, Conclusion: Fail to reject H0

The p-value is a measure of the evidence against the null hypothesis (H0). It represents the probability of obtaining a sample result as extreme as or more extreme than the observed result, assuming the null hypothesis is true. A p-value less than the significance level (α) indicates strong evidence against the null hypothesis and suggests that the alternative hypothesis (Ha) may be true.

a. For p = .68, we need to determine the probability of observing a sample proportion as extreme as or less than .68, assuming the null hypothesis is true. By conducting the appropriate statistical test (e.g., using the normal approximation to the binomial distribution), we find the p-value to be 0.0067. Since the p-value is less than α = .05, we reject the null hypothesis and conclude that there is evidence to support the claim that the proportion is less than .75.

b. For p = .72, the p-value represents the probability of observing a sample proportion as extreme as or less than .72. Calculating the p-value using the appropriate statistical test yields 0.0830. Since the p-value is greater than α = .05, we fail to reject the null hypothesis. Therefore, we do not have sufficient evidence to conclude that the proportion is less than .75.

c. With p = .70, the p-value indicates the probability of observing a sample proportion as extreme as or less than .70. The calculated p-value is 0.0322. As the p-value is less than α = .05, we reject the null hypothesis and conclude that there is evidence to suggest that the proportion is less than .75.

d. For p = .77, the p-value represents the probability of observing a sample proportion as extreme as or greater than .77. After performing the necessary calculations, we find the p-value to be 0.6221. Since the p-value is much greater than α = .05, we fail to reject the null hypothesis. Consequently, we do not have sufficient evidence to conclude that the proportion is less than .75.

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Answer:

1120.4 is what I got

Step-by-step explanation:

3000÷5000-200+921=721.6

answer is 721.6

Answer:

Using the given information from the graph, the x-intercept of the line is -1 and the y-intercept of the line is -4.

Step-by-step explanation:

For this problem, we are asked to find the x-intercept and the y-intercept of the line. The x-intercept represents the point where the line hits the x-axis. The y-intercept represents the point where the line hits the y-axis.

So, knowing this, we have the find the points where the line hits the x-axis and the point where the line hits the y-axis.

The line hits the x-axis at (-1,0). The line hits the y-axis at (0,-4)

So, the x-intercept of the line is -1 and the y-intercept of the line is -4.

The volume of the square-based pyramid is 3888 units³. Your answer is option B. 3888 units³.

The formula to calculate the volume of a pyramid is V = (1/3)Bh,

Where B is the area of the base and h is the height.

In this case, the base is a square with edge length 9 units, so the area is B = 9² = 81 units².

The height is given as 48 units.
Plugging these values into the formula, we get:
To find the volume of a square-based pyramid, you can use the following formula:

V = (1/3) * base area * height.

In this case, the base edge is 9 units and the height is 48 units.

First, find the base area:

A = side * side = 9 * 9

= 81 square units.

Next, calculate the volume:

V = (1/3) * 81 * 48 = 3888 cubic units.
V = (1/3)(81)(48)
V = 1296 units³
Therefore, the volume of the pyramid is 1296 units³, which is option b.

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Answer:

here are signs for (A), (B) and (C) hope this helps :)

Step-by-step explanation:

(a) The signs of two rational numbers whose sum is positive can be either both positive or both negative. If the signs are different, the absolute value of one number is greater than the absolute value of the other.

Example:

1/2 + 3/4 = 1/4 (positive sum, both numbers are positive)

-2/3 + 4/5 = 2/15 (positive sum, both numbers are negative)

(b) The signs of two rational numbers whose product is positive can be either both positive or both negative.

Example:

1/3 * 4/5 = 4/15 (positive product, both numbers are positive)

-2/7 * -3/4 = 3/14 (positive product, both numbers are negative)

(c) The signs of two rational numbers whose quotient is positive can be either both positive or both negative.

Example:

2/3 ÷ 1/4 = 8/3 (positive quotient, both numbers are positive)

-5/6 ÷ -2/3 = 5/4 (positive quotient, both numbers are negative)

Answer: x = -3/13.

Step-by-step explanation: Start by subtracting 3x from both sides of the equation to isolate the x terms on one side:

16x + 6 - 3x = 3x + 3 - 3x

Simplifying the equation:

13x + 6 = 3

Next, subtract 6 from both sides of the equation:

13x + 6 - 6 = 3 - 6

Simplifying the equation:

13x = -3

Finally, divide both sides of the equation by 13 to solve for x:

(13x)/13 = (-3)/13

Simplifying the equation:

x = -3/13

The directional derivative of a function f(x, y) at a point (a, b) in the direction of a unit vector u = ⟨cosθ, sinθ⟩ is given by the dot product of the gradient of f at (a, b) and the unit vector u.

That is, D_uf(a, b) = ∇f(a, b) · u

Here, f(x, y) = xy^3 - x^2, so ∇f(x, y)

= ⟨y^3 - 2x, 3xy^2⟩.

At the point (1, 4), we have ∇f(1, 4) = ⟨60, 192⟩.

The direction indicated by the angle theta = π/3 is u = ⟨cos(π/3), sin(π/3)⟩ = ⟨1/2, √3/2⟩.

Therefore, the directional derivative of f at (1, 4) in the direction of u is:

D_uf(1, 4) = ∇f(1, 4) · u

= ⟨60, 192⟩ · ⟨1/2, √3/2⟩

= 60/2 + 192(√3/2)

= 30 + 96√3

So the directional derivative of f at (1, 4) in the direction of θ = π/3 is 30 + 96√3.

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Given:

The initial number of books in the shelf is, i = 6.

The final numbe of books in the shelf i, f = 15.

Kyle says 9 books were added in the shelf.

The objective is to find whether the answer is true or false.

Explanation:

To find the number of books added on the shelf,

Thus, it is correct that the number of boooks added on the shelf is 9.

Hence, it is possible to agree with kyle.

A vector space over a field F is a set of vectors and two operations, called vector addition and scalar multiplication, which satisfy a set of axioms.

A vector space over F is a set of elements, known as vectors, that can be added and multiplied by scalar values from the set F.

This set of axioms includes properties such as closure, associativity, commutativity, distributivity, and existence of an identity element.

There are some examples of vector spaces over F:1. Rn is a vector space over R.2. The set of all n x n matrices with entries from F is a vector space over F.3. The set of all polynomials of degree at most n with coefficients in F is a vector space over F.

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Answer:

296, 288, 280, 240

Step-by-step explanation:

y = -8x + 296 is a linear equation by which you're plugging the x values of 0,1,2,7 into it to get a y value.

y = 296 when x = 0,

y = 288 when x = 1,

y = 280 when x = 2,

y = 240 when x = 7.

Cheers!

Answer:

=====================

Use identities:

Answer:

\(\textsf{11.} \quad 4x^2+ \sqrt{1-16x^2}\sqrt{1-x^2}\)

\(\textsf{12.} \quad \dfrac{1 - \sqrt{x}}{1 + \sqrt{x}}\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{6 cm}\underline{Sine Double Angle Identity}\\\\$\sin (A \pm B)=\sin A \cos B \pm \cos A \sin B$\\\end{minipage}}\)

\(\boxed{\begin{minipage}{5 cm}\underline{Inverse Trigonometric Identities}\\\\$\sin(\cos^{-1}x)=\sqrt{1-x^2}$\\\\$\cos(\sin^{-1}x)=\sqrt{1-x^2}$\\\end{minipage}}\)

Given trigonometric expression:

\(\sin ( \sin^{-1} 4x + \cos^{-1} x)\)

Using the Sine Double Angle Identity:

Therefore:

\(\begin{aligned}\sin ( \sin^{-1} 4x + \cos^{-1} x)&=\sin(\sin^{-1}4x) \cos (\cos^{-1}x)+ \cos(\sin^{-1}4x) \sin(\cos^{-1}x)\\&=4x \cdot x+ \cos(\sin^{-1}4x) \sin(\cos^{-1}x)\\&=4x^2+ \cos(\sin^{-1}4x) \sin(\cos^{-1}x)\\&=4x^2+ \sqrt{1-(4x)^2}\sqrt{1-x^2}\\&=4x^2+ \sqrt{1-16x^2}\sqrt{1-x^2}\end{aligned}\)

\(\boxed{\begin{minipage}{5 cm}\underline{Tan Double Angle Identity}\\\\$\tan (A \pm B)=\dfrac{\tan A \pm \tan B}{1 \mp \tan A \tan B}$\\\end{minipage}}\)

Given trigonometric expression:

\(\tan(\tan^{-1}1-\tan^{-1}\sqrt{x})\)

Using the Tan Double Angle Identity:

Therefore:

\(\begin{aligned}\tan(\tan^{-1}1-\tan^{-1}\sqrt{x})&=\dfrac{\tan (\tan^{-1}1) - \tan (\tan^{-1}\sqrt{x})}{1 + \tan (\tan^{-1}1) \tan (\tan^{-1}\sqrt{x})}\\\\&=\dfrac{1 - \sqrt{x}}{1 + 1 \sqrt{x}}\\\\&=\dfrac{1 - \sqrt{x}}{1 + \sqrt{x}}\\\\\end{aligned}\)

The most appropriate form for equation of circle will be given by-

Centre = (-5, 3) and radius is \(\sqrt{19}\) units

What is equation of circle?

A round figure whose all points on the boundary maintains a fixed distance from a point known as the centre of the circle and the fixed distance is called the radius of the circle.

If radius of a circle is doubled, we will obtain the diameter of the circle.

Equation of circle

\((x-a)^2 + (y-b)^2 = r ^2\)

where (a, b) is the centre of the circle and r is the radius of the circle.

Here,

\(x^2 + y^2 + 10x-6y + 15 = 0\)

\(x^2 + 2\times x\times 5 + 5^2 -5^2 +y^2 -2\times y\times 3 + 3^2 - 3^2 + 15 = 0\\(x+5)^2 + (y-3)^2-25-9+15=0\\(x+5)^2 + (y-3)^2-19=0\\(x+5)^2 + (y-3)^2=19\\ (x+5)^2 + (y-3)^2=\sqrt{19}^2\\\)

Centre = (-5, 3) and radius is \(\sqrt{19}\) units

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Answer:

x = -2.65865384615

Step-by-step explanation:

-91x - 13x = 276.50

First, Combine Like Terms

-91x + (-13x) = -104x

-104x = 276.50

Second, divide

276.50 / -104 = x

x = -2.65865384615

Answer: 120d + 1,500 = 110d + 2,500

Step-by-step explanation:

Answer:

$1,500 + 120d = $2,500 + 110d

Step-by-step explanation:

Just in case you want the solution as well:

10d = 1000

d = 100

Answer: the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

Step-by-step explanation:

Let's assume the price of one senior citizen ticket is 's' dollars and the price of one student ticket is 't' dollars.

According to the given information, on the first day, the school sold 7 senior citizen tickets and 11 student tickets, totaling $125. This can be expressed as the equation:

7s + 11t = 125 ---(1)

On the second day, the school sold 14 senior citizen tickets and 8 student tickets, totaling $180. This can be expressed as the equation:

14s + 8t = 180 ---(2)

We now have a system of two equations with two variables. We can solve this system to find the values of 's' and 't'.

Multiplying equation (1) by 8 and equation (2) by 11, we get:

56s + 88t = 1000 ---(3)

154s + 88t = 1980 ---(4)

Subtracting equation (3) from equation (4) eliminates 't':

(154s + 88t) - (56s + 88t) = 1980 - 1000

98s = 980

s = 980 / 98

s = 10

Substituting the value of 's' back into equation (1), we can solve for 't':

7s + 11t = 125

7(10) + 11t = 125

70 + 11t = 125

11t = 125 - 70

11t = 55

t = 55 / 11

t = 5

Therefore, the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

Answer:

B

Step-by-step explanation:

We know that it costs 37 cents to mail a letter that weighs 1 oz or less. This would mean that for x ≤ 1, P(x) should equal 37. Already, we can eliminate A and D.

We also know that it costs an additional 26 cents for at most another ounce added to the original 1 ounce. This means that for 1 < x ≤ 2, P(x) = 26 + 37 = 63. This is shown by B.

Thus, the answer is B.

~ an aesthetics lover

Answer:

-3, 2+3i, and 2-3i.

Step-by-step explanation:

To find the roots of x^3-x^2+x+39=0, we use the Rational Root Theorem and synthetic division to test possible rational roots. We find that -3 is a root, and divide by (x+3) to get the quadratic factor x^2-4x+13=0. Solving this using the quadratic formula gives us the remaining roots of 2+3i and 2-3i. Therefore, the roots of the equation are -3, 2+3i, and 2-3i.

Answer:

3 miles

Step-by-step explanation:

Since the x coordinates are the same, we only need to find the distance between the y coordinates

-3 - -6

-3 +6

3 units

Each unit is 1 mile

3 units * 1 miles / 1 unit =  3 miles