express the ratio 35degree to 90degree as to simply as possible​

Given statement solution is:- The function y = √(x + 3) - 2 with at least four integer points on the axes.

To plot points and graph the function y = √(x + 3) - 2, we can utilize technology tools such as graphing calculators or online graphing tools. I'll demonstrate how to use an online graphing tool called Desmos, which is user-friendly and widely accessible.

Please follow these steps to plot the points and graph the function:

Visit the Desmos website or use any other graphing tool of your choice.

Clear any existing equations or plots on the graph.

Enter the function y = sqrt(x + 3) - 2 into the equation field.

The graphing tool will automatically plot the function.

To plot integer points, simply choose four different integer values for x and calculate the corresponding y values.

Let's choose the following integer values for x: -3, -2, 0, and 2.

Calculate the corresponding y values:

For x = -3: y = sqrt(-3 + 3) - 2 = -2

For x = -2: y = sqrt(-2 + 3) - 2 = -1

For x = 0: y = sqrt(0 + 3) - 2 = 1

For x = 2: y = sqrt(2 + 3) - 2 = 0

Plot these points on the graph by clicking on the appropriate locations.

If you accidentally click on a point and want to delete it, simply click on the point again to remove it.

Make sure the graph displays the axes and all the plotted points.

By following these steps, you should be able to plot the points and graph the function y = √(x + 3) - 2 with at least four integer points on the axes.

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Answer:

108

Step-by-step explanation:

Add the sides of the triangle

5+3+4 = 12 then look for the height

which is 9

12*9 is 108

angle BCA should be the same as angle CAD -> 20°

option B correctly expresses the relationship between the value and the number of years, where the number of years is equal to the value divided by 12.53. The equation that correctly expresses the relationship between the two variables is option B: Number of years = value/12.53.

This equation is a straightforward representation of the relationship between the value and the number of years. It states that the number of years is equal to the value divided by 12.53.

To understand this equation, let's look at an example. If the value is 120, we can substitute this value into the equation to find the number of years. By dividing 120 by 12.53, we get approximately 9.59 years.

Therefore, if the value is 120, the corresponding number of years would be approximately 9.59.

In summary, option B correctly expresses the relationship between the value and the number of years, where the number of years is equal to the value divided by 12.53.

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Max wants to choose a wall hanging between a trapezoid and a kite shape, based on the greater area. To determine which wall hanging he will choose, we need to compare the areas of the two shapes.

The area of a trapezoid can be calculated using the formula A = (1/2) * (base1 + base2) * height, where the bases are the parallel sides of the trapezoid and the height is the perpendicular distance between the bases.

The area of a kite can be calculated using the formula A = (1/2) * (diagonal1 * diagonal2), where the diagonals are the lengths of the two intersecting lines that form the kite.

Since the trapezoid has a height and the kite has diagonals, we can see that the trapezoid has a greater chance of having a larger area.

However, the specific dimensions of the shapes are needed to make a definitive comparison. Without knowing the specific measurements, we cannot determine which wall hanging Max will choose based on the greater area alone.

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With some simplification,

cos⁻¹(x) - 5 cos⁻¹(x) - π/3 = 2π/3

becomes

-4 cos⁻¹(x) = π

or

cos⁻¹(x) = -π/4

However, the inverse cosine function has a range of 0 ≤ cos⁻¹(x) ≤ π, so there are no solutions to this equation.

Answer:

The probability that out of the nine drinks in the cooler, one of the two friends selects a drink flavored fruit punch after which the next of the two friends selects a drink flavored orange is \(0.08 \overline 3\)

Step-by-step explanation:

The given parameters for the content of the cooler are;

The total number of bottles of sports drink in the cooler, n = 9 bottles

The number of lemon-lime flavored bottles of sports drink in the cooler, L = 4 bottles

The number of orange flavored bottles of sports drink in the cooler in the cooler, O = 3 bottles

The number of fruit punch flavored bottles of sports drink in the cooler, F = 2 bottles

The probability of selecting a drink flavored fruit punch, \(P_F\) = F/n = 2/9

The probability of selecting a drink flavored orange given that a drink flavored fruit punch has already been selected is \(P_{O(n_1)}\) = O/(n₁)

Where;

n₁ = n - 1 = 9 - 1 = 8

∴ \(P_{O(n_1)}\) = O/(n₁) = O/(n - 1) = 3/(9 - 1) = 3/8

Therefore, the probability that the first of two friends to select a drink got a drink flavored fruit punch and the second of the two friends got a drink flavored orange is, P = \(P_F\) × \(P_{O(n_1)}\)

∴ P = 2/9

\(P = \dfrac{2}{9} \times \dfrac{3}{8} = \dfrac{6}{72} = \dfrac{1}{12}\)

The probability that one of two friends selects a drink flavored fruit punch and the next of the two friends selected a drink flavored orange is P = 1/12 = 0.08\(\overline 3\).

The null and alternative hypotheses for the given scenario is :

h₀ = 0.39

ha > 0.39

Given, a newsletter r publisher believes that more than 39% of their readers own a laptop.

let the proportion of readers owning a laptop be denoted by p.

We want to test the claim that more than 39% of the readers own a laptop.

Hence, we frame:

Null hypothesis is H₀: p = 0.39

Alternative hypothesis is H₁: p > 0.39

Hence there is no sufficient evidence at the 0.05 level.

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The vertical asymptotes of the rational function f(x) = (4x² + 3x + 6)/(x² - 36) are given as follows:

x = -6 and x = 6.

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

The function for this problem is defined as follows:

f(x) = (4x² + 3x + 6)/(x² - 36)

The denominator is given as follows:

x² - 36.

Hence the vertical asymptotes of the function are given as follows:

x² - 36 = 0

x² = 36

|x| = |6|

x = -6 or x = 6.

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The following statements correctly describe how the graph of the geometric sequence: 640, 160, 40, 10, ... should appear:

The given sequence is 640, 160, 40, 10, ... which is a geometric sequence.

Here, the first term is 640 and the common ratio is ¼

The terms of a geometric sequence can be written as an = a₁(r)⁽ⁿ⁻¹⁾

Here, a₁ = 640, and r = ¼.

Hence, the nth term of the given sequence is given by the formula:

an = 640(1/4)⁽ⁿ⁻¹⁾

The graph of the given sequence will appear as shown below:

The given sequence is a decreasing sequence, which means the terms of the sequence keep decreasing as the value of n increases.

Therefore, the graph will show exponential decay.

The domain of the sequence will be the set of natural numbers, which is {1, 2, 3, ...}, since we cannot find any term before the first term.

Therefore, the first term is the initial term and we can count the other terms of the sequence in natural numbers.

Hence, the domain will be the set of natural numbers.

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Answer:

the graph will show exponential decay.

the domain will be the set of natural numbers.

Step-by-step explanation:

The answer above is correct.

Answer:

2x - 5 if x ≤ 2

f(-1) = -7

Step-by-step explanation:

x ≤ 2 = (-1) ≤ 2

x > 2 = (-1) > 2

2x - 5

2(-1) - 5

-2 - 5

-7

Ai) 5575 Swedish kronor      500*11.15

Aii) 312.50 swiss frans      250*1.25

B) £345     407.10/1.18

Hope this helps, have a great day!!

The area of the region that lies inside the first curve and outside the second curve: ∫[π/3, 5π/3] [8cos^2(θ) - 2cos(θ) - 1] dθ.

To find the area of the region that lies inside the first curve (r = 3cos(θ)) and outside the second curve (r = 1 + cos(θ)), we need to evaluate the definite integral of the difference between the two curves over the appropriate range of θ.

First, let's determine the range of θ where the curves intersect. We set the two equations equal to each other:

3cos(θ) = 1 + cos(θ)

2cos(θ) = 1

cos(θ) = 1/2

θ = π/3 and θ = 5π/3

Now, we can integrate the difference of the curves from θ = π/3 to θ = 5π/3:

Area = ∫[π/3, 5π/3] [(3cos(θ))^2 - (1 + cos(θ))^2] dθ

Simplifying the integrand:

Area = ∫[π/3, 5π/3] [9cos^2(θ) - (1 + 2cos(θ) + cos^2(θ))] dθ

Area = ∫[π/3, 5π/3] [8cos^2(θ) - 2cos(θ) - 1] dθ

Now, we can evaluate this definite integral to find the area.

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The change in percentage of y when x increases by 5% will be 25%

Direct proportion is a mathematical comparison between two numbers where the ratio of the two numbers is equal to a constant value.

Given that, y is directly proportional to the square of x. we need to find the percentage increase when x is increased by 5%

Since, Y varies directly as the square of x.

Therefore, the general equation to show the direct variation :-

Y = kx²

Let the value of x be 25

25 will be x as 100%. therefore when x is 100%  the value of y will be

Y = 25²k

= 625k

Increasing the value of x by 5%,  

(105x25)/100 = 26.25

Therefore, 105% of 25 = 26.25.

Applying the variation equation, we obtain

Y = (26.25)²k

= 689.0625k

We will find the percentage change in y caused by an increase of x by 5%

(689.0625x100)/625 = 110.25%

Therefore, to find the percentage change in y when x increases by 5% will be,

(110.25-100)% =10.25%

Hence, the change in percentage of y when x increases by 5% will be 25%

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Answer:

D

Step-by-step explanation:

The circle is filled in and the numbers are going lower so x is less than or equal to 7. I hope this helps and have a great day!

Answer: D

Closed circle mean it would be an “equal to.” Since the line is going to the left of 7 it means x is less than 7.

Answer: 4y -12

Step-by-step explanation:

Let's take this step-by-step:

\(-\frac{2}{7}\)(-14y + 42)

Distribute the \(-\frac{2}{7}\) to -14y and 42

\(-\frac{2}{7}\)  * -14y = 4y

\(-\frac{2}{7}\) * 42 = -12

We get

4y + (-12)

Simplify this to get:

4y -12

Answer:

13 inches (to nearest inch)

Step-by-step explanation:

if volumes are in ratio 216:64, then lengths/heights must be in ratio

∛216: ∛64

= 6:4.

this can be simplified to 3:2.

3/2 = 1.5.

that means the height of larger cone is 1.5 times taller than height of the smaller cone.

let's call height of smaller cone d.

20 = 1.5d

d = 20/1.5

= 13.33

= 13 inches (to nearest inch)

750 bikes would be sold for $350

Let x represent the number of bikes sold per month and y represent the price.

550 bikes are sold at a price of $250, this can be represented by (550, 250). Also, 750 bikes is sold at a price of $150, hence it is represented by (750, 150)

A linear function is represented by:

y = mx + b

m is the slope, b is the y intercept.

Therefore the function is:

\(y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-250=\frac{150-250}{750-550} (x-550)\\\\y=\frac{1}{2}x-25\)

The number of bikes sold for $350 is:

350 = (1/2)x - 25

x = 750

Therefore 750 bikes would be sold for $350

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Answer:

3

Step-by-step explanation:

2x must equal 6 because you add it to 4 to get ten the format Xc is multiplication.2×3 is 6 so the answe is 3

Answer:

55

Step-by-step explanation:

(360 - 125 - 125) / 2 = 55

Opposite angles are the same in a parallelogram.

Answer:

D

Step-by-step explanation:

To find what letter it matches, plot the point given.

your point was negative 2.5(-2.5).

The point would be plotted half-way in between -2 and -3

look to see what letter your point is below. I'm this problem, the point is below D, so your answer is D.

Hope this helps!!

Answer:

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line -3x-4y-9 = 0 and calculate its properties. Graph of a Straight Line : Calculate the Y-Intercept : Notice that when x = 0 the value of y is 9/-4 so this line "cuts" the y axis at y=-2.25000. y-intercept = 9/-4 = -2.25000.

Step-by-step explanation:

Find the X and Y Intercepts 3x-4y=9. 3x − 4y = 9 3 x - 4 y = 9. Find the x-intercepts. Tap for more steps... To find the x-intercept (s), substitute in 0 0 for y y and solve for x x. 3 x − 4 ⋅ 0 = 9 3 x - 4 ⋅ 0 = 9. Solve the equation. Tap for more steps... Simplify 3 x − 4 ⋅ 0 3 x - 4 ⋅ 0.

Sonali purchased some pants and skirts the numbers of skirts is 7 less than eight times the number of pants purchase also number of skirt is four less than five times the number of pants purchased is 1 pant and 1 skirt.

Let's denote the number of pants Sonali purchased as P and the number of skirts as S. We're given two pieces of information:

1. The number of skirts (S) is 7 less than eight times the number of pants (8P). This can be represented as S = 8P - 7.

2. The number of skirts (S) is also 4 less than five times the number of pants (5P). This can be represented as S = 5P - 4.

Now we have a system of two linear equations with two variables, P and S:

S = 8P - 7
S = 5P - 4

To solve the system, we can set the two expressions for S equal to each other:

8P - 7 = 5P - 4

Solving for P, we get:

3P = 3
P = 1

Now that we know P = 1, we can substitute it back into either equation to find S. Let's use the first equation:

S = 8(1) - 7
S = 8 - 7
S = 1

So, Sonali purchased 1 pant and 1 skirt.

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Answer:

(-3x-4+x^2-2)(2)=(x^2-3x-6)(2)

=(2^2)-3(2)-6

=4-6-6

=-8

Answer:

x = 2.7

Step-by-step explanation:

From the question given above, the following data were obtained:

QM = angle bisector of angle PQR

Angle PQN = 7x + 15

Angle NQM = 4x

x =?

Since QM is the angular bisector, it means that it bisect PQR into two equal angle i.e 45° each.

See attachment for diagram.

Thus, we can obtain the value of x as follow:

7x + 15 + 4x + 45= 90° (angle in a right angle triangle)

7x + 4x + 15 + 45= 90

11x + 60 = 90

Collect like terms

11x = 90 – 60

11x = 30

Divide both side by 11

x = 30/11

x = 2.7

Therefore, the value of x is 2.7

Expected value of bb = 1.79

What is expectation?

At first it is important to know about probability of an event.

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probability of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

Suppose x is a random variable with the probability function f(x). suppose

\(x_1, x _2, ..., x _ n\) are the values corrosponding to the actual occurance of the event and \(p_1, p_2, ... , p_n\) be the corrosponding probabilities.

Expectation is given by the formula =

\(p_1x_1 + p_2x_2 +....+ p_nx _n\)

Expected value of bb =

0.35 ˣ 0 + 0.20 ˣ 1 + 0.15 ˣ 2 + 0.10 ˣ 3 + 0.07 ˣ 4 + 0.08 ˣ 5 + 0.04 ˣ 6 + 0.01 ˣ 7

0 + 0.20 + 0.30 + 0.30 + 0.28 + 0.40 + 0.24 + 0.07

= 1.79

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Answer:

A is correct:  12r5

Step-by-step explanation:

7 divides into 89 12 times with a remainder of 5.  Answer A is correct:  12r5