for an acute angle 0, the equation sin(0) the equation sin(0) = cos(6) is true. What is the value of 0?​

Step-by-step explanation:

4) d = √(3-1)²+(7-(-1))²

=√2²+8² = √4+64 =√68

5) AD=29

AB =2x+4,BC=2x,CD=x

AD = 2x+4+2x+x

29=2x+4+2x+x

29=5x+4

29-4=5x

x=25/5

x=5

AB =2x+4

=2(5)+4 =14

BD = BC +CD

= 2x+x

=2(5)+5 =15

Answer:

a) \(p \geq 60\,ft^{2}\), b) \(w \geq 36\,ft\), c) \(1\,qt \leq q \leq 2\,qt\), d) \(0.70\cdot p + 0.10\cdot w + 8\cdot q \leq 65\)

Step-by-step explanation:

In this question we proceed to translate each sentence into mathematical language and, more specifically, inequations:

a) At least 60 square feet of plywood for the surface

Let \(p\) the surface area of plywood, measured in square feet, and the inequation is:

\(p \geq 60\,ft^{2}\) (Eq. 1)

b) At least 36 feet of wood planks for the frame of the dog house

Let \(w\) the total length of wood planks, measured in feet, and the inequation is:

\(w \geq 36\,ft\) (Eq. 2)

c) Between 1 and 2 quarts of paint

Let \(q\) the total capacity of paint, measured in quarts, and the inequation is:

\(1\,qt \leq q \leq 2\,qt\) (Eq. 3)

d) Han's budget is $ 65. Plywood costs $ 0.70 per square foot, planks of wood cost $ 0.10 per foot and paint costs $ 8 per quart.

Dimensionally speaking, we understand that cost equals unit cost multiplied by physical variable (i.e. Area, length or capacity). Let \(p\), \(w\) and \(q\) the surface area of plywood, the total length of wood planks and the total capacity of paint, respectively. The sentence is represented by the following inequation:

\(0.70\cdot p + 0.10\cdot w + 8\cdot q \leq 65\) (Eq. 4)

Write an inequality to represent each constraint(material and cost)

Plywood:

plywood ≥ 60 square feet

Planks:

planks ≥ 36 feet

Paints

1 quarts ≤ paints ≤ 2 quarts

Inequality to represent cost constraint

Plywood = $0.70

planks of wood = $0.10

paint costs $8

Total cost = $65

0.70 × p + 0.10 × pw + 8 × Pa ≤ 65

0.70p + 0.10pw + 8pa ≤ 65

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When 293 college students are randomly selected and surveyed, it is found that 114 own a car. The upper limit for the 90% confidence interval for the percentage of all college students who own a car is 46.3%.

The given problem is an example of confidence intervals in statistics. The formula for finding the confidence interval in percentage is given below:

Confidence Interval in Percentage = P ± Z Score x √ (PQ/n)

where

P = Sample proportion

Q = 1 - P

n = Sample Size

Z Score is obtained from the Z-Table where the confidence level is given.

To obtain the upper limit, the following formula should be used:

Upper Limit of the Confidence Interval = P + Z Score x √ (PQ/n)

Substitute the given values of the question into the formula:

P = 114/293 = 0.3891

Q = 1 - 0.3891 = 0.6109

n = 293

The upper limit for the 90% confidence interval is given by the Z-Table at 1.645:

Upper Limit of the Confidence Interval = 0.3891 + 1.645 x √ [(0.3891 x 0.6109)/293]

≈ 0.3891 + 1.645 x 0.0467

≈ 0.3891 + 0.07701

≈ 0.4661 = 46.3%

Therefore, the answer is 46.3%.

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The answer is a² + 6. "Sum of a squared and 6" means you square a value and then add 6 to it.

Answer: 15

Step-by-step explanation:

screenshot

Answer:

What is the largest y-value that satisfies this system?

1/2(x-3)(x-2)=y

2(x-1/2)=y

Step-by-step explanation:

the first one has a binomial times a binomial which you have to do the generic rectangle if you did you would get

x² - 5x + 6 = y you keep parenthesis and the 1/2 and bring down to get

1/2(x² - 5x + 6) = y then distribute

1/2x² - 5/2 + 3 = y

2(x - 1/2) = y the distribute and get

2x - 1 = y

so the first one has the largest y-value

Player B is the most consistent, with an IQR of 2. This means that 50% of their scores fell within the range of 3 to 5.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen

To determine which player was more consistent, we need to find the best measure of variability for the data. The two common measures of variability are range and interquartile range (IQR).

The range is the difference between the highest and lowest values in the data set. For Player A, the range is 6 - 1 = 5, and for Player B, the range is 11 - 1 = 10.

The interquartile range (IQR) is a measure of dispersion based on dividing the data into quartiles. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1).

To find the IQR for each player, we first need to find the quartiles.

For Player A:

Arrange the data in order: 1, 1, 2, 2, 2, 3, 3, 3, 6

Find Q1: (2 + 2) / 2 = 2

Find Q3: (3 + 3) / 2 = 3

Calculate IQR: Q3 - Q1 = 3 - 2 = 1

For Player B:

Arrange the data in order: 1, 1, 2, 4, 4, 5, 5, 5, 11

Find Q1: (2 + 4) / 2 = 3

Find Q3: (5 + 5) / 2 = 5

Calculate IQR: Q3 - Q1 = 5 - 3 = 2

Therefore, Player B is the most consistent, with an IQR of 2. This means that 50% of their scores fell within the range of 3 to 5. In contrast, Player A has an IQR of 1, indicating that 50% of their scores fell within the range of 2 to 3.

Therefore, we can conclude that Player B was more consistent than Player A.

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The width of the driveway in terms of x is (5x² + 43x - 18) / 12.

We have,

The concept used here is basic geometry, specifically the formula for the area of a rectangle.

The area of a rectangle is calculated by multiplying its length by its width.

To find the width of the driveway in terms of x, we need to divide the total area of the driveway by its length.

Area of the driveway: 5x² + 43x - 18

Length of the driveway: 3 + 9 = 12

Width = Area / Length

Width = (5x² + 43x - 18) / 12

Thus,

The width of the driveway in terms of x is (5x² + 43x - 18) / 12.

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The parametric equations for the line segment from (9, 2, 1) to (6, 4, −3) using the parameter t are x(t) = 9 - 3t ,y(t) = 2 + 2t ,z(t) = 1 - 4t

We can use the point-slope form of a line to write the parametric equations

These equations represent the x, y, and z coordinates of a point on the line segment at a given value of t. By plugging in different values of t, we can find different points along the line segment.

To derive these equations, we start by finding the vector that goes from (9, 2, 1) to (6, 4, −3). This vector is:

<6 - 9, 4 - 2, -3 - 1> = <-3, 2, -4>

Next, we find the direction vector by dividing this vector by the length of the line segment:

d = <-3, 2, -4> / sqrt((-3)² + 2² + (-4)²) = <-3/7, 2/7, -4/7>

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Answer:

pretty sure is 2a-1

Step-by-step explanation:

Sorry if I'm wrong

Answer:

Combine like-terms. In this case, combine all the “a“ terms first and then the other numbers.

3a+a-2a+8-9

2a-1

:)

Answer:

53.9

Step-by-step explanation:

154x35=5390

5390÷100=53.9

Answer:

....◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉

The use of this figurative language helps to convey the theme of how memories can be fleeting and easily forgotten over time.

In paragraph 2, the author uses the figurative language of an "eraser on the end" to describe how time seems to fade away certain memories. The eraser is a symbol for forgetfulness, and the fact that it is on the end of something suggests that it is far away and difficult to reach.

This can be seen as a metaphor for how certain memories can become distant and hard to recall as time goes on.

Additionally, the eraser symbolizes how memories can be altered or erased entirely over time, much like how an eraser can remove pencil marks from paper.

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The number of weeks it will take them to have saved thesame amount is 8 weeks

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time.

if x represents the the number of weeks for saving and y represents the equal saved amount, then

42+16x = y equation 1

-70+ 30x = y equation 2

subtract equation 1 from 2

-70-42+16x- 30x= 0

-112+14x= 0

collect like terms

-112=-14x

divide both sides by 14

x= -112/-14

x= 8weeks

therefore it will take them 8 weeks to have equal savings

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The LP problem is to maximize the objective function 10x+15y subject to the constraints 2x+5y ≤ 40 and 6x+3y ≤ 48. By graphing the constraints and identifying the feasible region, we can determine the optimal solution.

To find the optimal solution for the LP problem, we first graph the constraints 2x+5y ≤ 40 and 6x+3y ≤ 48. These constraints represent the inequalities that the variables x and y must satisfy. We plot the lines 2x+5y = 40 and 6x+3y = 48 on a graph and shade the region that satisfies both constraints.

The feasible region is the area where the shaded regions of both inequalities overlap. We then identify the corner points of the feasible region, which represent the extreme points where the objective function can be maximized.

Next, we evaluate the objective function 10x+15y at each corner point of the feasible region. The point that gives the highest value for the objective function is the optimal solution.

By solving the LP problem graphically, we can determine the corner point that maximizes the objective function. The optimal solution will have specific values for x and y that satisfy the constraints and maximize the objective function 10x+15y.

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Answer: D) 0.78

Step-by-step explanation:

Add all the given probabilities to find the answer:

45/100 + 18/100 + 15/100 = 78/100 = 78% or 0.78

Answer:

no its rational

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

The blue line represents rise and red line run.

The slope of the line is 3/7.

Given,

The graph.

The rise and the run are terms used to describe changes in height between two points. Rise divided by Run is what determines the slope: slope =rise/  run . By examining the rise and run, you can infer the slope of a line from its graph.

We have to find the line representing rise and the line representing run of the line. And also slope of the line.

Here,

Blue line in 3 grids represents rise.

Red line in 7 grids represents run.

Now,

Slope of the line = rise / run

Slope of the line = 3/7.

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Answer:

the males have the babies

Step-by-step explanation:

Answer:

So actually when a female seahorse deposits up to 1,500 eggs in the male's pouch. The male carries those eggs for up to 9 to 45 days until the seahorses emerged fully developed, but still very tiny. The young ones are then released into the water, and then the male mates again (whoo that is a lot of mating& a lot of kids) within hours during the breeding season.

Hope you have a great day and god bless you. :)

Answer:

Step-by-step explanation:

x = 2 works lol

but if you want a more complicated one:

4x - 4 = 4

there's infinite equations

There are 43,949,268 different 19-member subcommittees that may be chosen from among the 29 Senators on the Appropriations Committee.

To find the number of different 19-member subcommittees that may be chosen from among the 29 Senators on the Appropriations Committee, we can use the combination formula:

C(n, r) = n! / (r! * (n-r)!)

where n is the total number of members (29 in this case) and r is the number of members in the subcommittee (19 in this case).

Substituting the values, we get:

C(29, 19) = 29! / (19! * (29-19)!)

Simplifying by cancelling out common factors in the numerator and denominator, we get:

C(29, 19) = (29 * 28 * 27 * ... * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / (19 * 18 * 17 * ... * 3 * 2 * 1 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)

Many terms in the numerator and the denominator cancel out, leaving:

C(29, 19) = (29 * 28 * 27 * ... * 11) / (19 * 18 * 17 * ... * 3 * 2 * 1)

Calculating each factor, we get:

C(29, 19) = 43,949,268

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The value of x include the following: B. 52/3.

In Mathematics, the basic proportionality theorem states that when any of the two (2) sides of a triangle is intersected by a straight line which is parallel to the third (3rd) side of the triangle, then, the two (2) sides that are intersected would be divided proportionally and in the same ratio.

By applying the basic proportionality theorem to the given triangle, we have the following:

3x/4x = (3x + 7)/(5x - 8)

By cross-multiplying, we have the following:

3x(5x - 8) = 4x(3x + 7)

15x² - 24x = 12x² + 28x

3x² = 52x

3x = 52

x = 52/3.

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Answer:

Step-by-step explanation:

thats the link for the diagram

Answer:

The nucleus of a titanium atom has 22 protons and 26 neutrons

If you search online for 'Bohr's diagram for titanium' it might help.

__

It will become Ti ^4+

Bohr diagrams indicate how many electrons fill each principal shell. This means that they can achieve a stable configuration and a filled outer shell by donating or losing an electron. As a result of losing a negatively-charged electron, they become positively-charged ions.

To find the relationship between the volume of a prism and a pyramid with congruent bases and equal heights, we need to consider their formulas.  
The volume of a pyramid is given by the formula V = (1/3)Bh,

where B represents the area of the base and h represents the height. Since the bases of the prism and pyramid are congruent and their heights are equal, we can write the equation:

Volume of Prism = 2 × Volume of Pyramid Using the formulas mentioned earlier, we can substitute the expressions for the volumes:

Bh = 2 × (1/3)Bh
Simplifying this equation, we can cancel out the B's:

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The statement "a prism and a pyramid have congruent bases and equal heights, and the volume of the prism is twice the volume of the pyramid" is FALSE.

To understand why, let's consider a simple example. Imagine we have a triangular prism and a triangular pyramid with congruent bases and equal heights. The base of both shapes is a triangle, and their heights are the same.

The volume of a prism can be calculated by multiplying the area of its base by its height. Similarly, the volume of a pyramid can be calculated by multiplying the area of its base by one-third of its height.

Since the prism and the pyramid have congruent bases and equal heights, the only difference in the volume calculation is the factor of 1/3 for the pyramid.

This means that the volume of the pyramid is one-third the volume of the prism, not half. Therefore, the statement that the volume of the prism is twice the volume of the pyramid is false.

Therefore, the statement is incorrect, and the volume of the prism is not twice the volume of the pyramid, but rather three times as much.

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Answer:

The expression that represents the width of the rectangle is 4w + 9

Step-by-step explanation:

The formula of the area of the rectangle is A = length × width

Let us solve the question

∵ The area of a rectangle is 8w + 18 square feet.

∴  A = 8w + 18

∵ The HCF of 8 and 18 is 2

→ Divide each term of the area by 2 to get 2 as a common factor

∵ 8 ÷ 2 = 4 and 18 ÷ 2 = 9

∴ A = 2(4w + 9)

∵ The length of the rectangle is 2 feet

→ Substitute it in the formula of the area above

∵ A = 2 × width

∴ A = 2 width

→ Equate the two right sides of the area

∴ 2 width = 2(4w + 9)

→ Divide both sides by 2

∴ The width = 4w + 9

∴ The expression that represents the width of the rectangle is 4w + 9

Answer:

Give the other guy a brainliest they deserve it :)

Step-by-step explanation:

Answer:

ima guess $262.50

Step-by-step explanation:

Answer:

b=3

Step-by-step explanation:

Step 1:

Expand

22=5b + 7b - 14

Step 2:

Simplify

22=12b - 14

Step 3:

add 14 to both sides

36= 12b

Step 4:

divide both sides by 12

36/12 = 12b/12

Step 5:

3 = b

Answer:

48 :)

Step-by-step explanation:

Answer:

11 I'm pretty sure

Step-by-step explanation:

Answer:

\(\Longrightarrow: \boxed{\sf{25x^2-30x+9}}\)

Step-by-step explanation:

Isolate the term of x from one side of the equation.

Use the perfect square formula.

\(\underline{\text{PERFECT SQUARE FORMULA:}}\)

\(\Longrightarrow: \sf{(A-B)^2=A^2-2AB+B^2}\)

(5x-3)²

(5x-3)²= (5x)²-2*5x*3+3²

Solve.

\(\sf{(5x)^2-2*5x*3+3^2=\boxed{\sf{25x^2-30x+9}}}\)

Answer:

Step-by-step explanation:

The identity

In this case, a = 5x and b = 3, so substituting the values :

The examples of irrational numbers are:

c. 0.1237285... (a decimal with a non-repeating, non-terminating sequence of digits)

b. √16 and √-6 (the square roots of non-perfect squares)

a. 4π (a number that cannot be expressed as the ratio of two integers)

The decimal 0.292292229 rounded to the nearest thousandth is 0.292.

An irrational number is a real number that cannot be expressed as a fraction of two integers, i.e., it cannot be written in the form of p/q, where p and q are integers and q is not equal to zero. Irrational numbers are numbers that have a non-repeating, non-terminating decimal expansion.

Note: -81.7 and -6 are rational numbers because they can be expressed as ratios of integers (-817/10 and -6/1, respectively).

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