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Answer:

4x + 15x + 7

Step-by-step explanation:

x2 + x2 = 4x

5x + 10x = 15x

-14 + 21 = 7

The equation of the line would be y = (4/5)x + 4 which in slope-intercept form represents the graph.

The graph is given in the question.

As per the given line, we take two points (0, 4) and (5, 8)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = 0, y₁ = 4

x₂ = 5, y₂ = 8

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 4 = (8 - 4)/(5-0 )[x -0]

⇒ y - 4 = (4/5)x

⇒ y = (4/5)x + 4

The given equation of the line y = 4x + 5 is incorrect because its slope is not correct.

So, the equation of the line would be y = (4/5)x + 4.

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Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer: (9,7)

Step-by-step explanation: 32 Divided by 4 = 9 and 28 Divided by 4 = 7.

So there would be 9 Blue and 7 Red

Answer:

2/5 of a mile

Step-by-step explanation: steps in picture

The polynomial -6x⁵ - 1/8 - x³ in standard form is -6x⁵ - x³ - 1/8

From the question, we have the following parameters that can be used in our computation:

-6x⁵ - 1/8 - x³

To rewrite polynomial in standard form, we order the powers in decreasing order

Using the above as a guide, we have the following:

-6x⁵ - x³ - 1/8

Hence, the polynomial in standard form is -6x⁵ - x³ - 1/8

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Answer:

Y varies directly as X.

y=kx.

6=K72.

x=6/72.

x=0.08.

Y=0.08x.

when y=?, x=8.

y=0.08×8=0.64.

The correct answer about experiment, trial, and outcome is

a. The experiment identifies whether a head or tail

b. The experiment is flipping the coin  

d. A trial is one flip of the coin  

An experiment in probability is a process or activity that involves observing or measuring an outcome or event, in order to determine the likelihood or probability of certain outcomes.

In probability, an outcome refers to a possible result that can occur from an experiment or event. It is one of the possible outcomes that can happen, and it may be a single result or a set of results.

In probability, a trial is a single repetition of an experiment or event. It is the process of observing or measuring the outcome of an event or experiment once.

Here we have

At a sports event, a fair coin is flipped to determine which team has possession of the ball.

The coin has two sides, heads, (H), and tails, (T).  

From the given options correct answers are

a. The experiment identifying whether a head or tail is flipped is correct because the experiment is to determine which side of the coin will be facing up after the coin is flipped, either heads (H) or tails (T).

b. The experiment is flipping the coin is correct because the experiment involves physically flipping the coin.

d. A trial is one flip of the coin is correct as a trial is defined as a single performance of an experiment, in this case, flipping the coin once.  

Therefore,

The correct answer about experiment, trial, and outcome is

a. The experiment identifies whether a head or tail

b. The experiment is flipping the coin  

d. A trial is one flip of the coin  

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Answer:

Rectangle + half circle ?

Step-by-step explanation:

Answer:

A rectangular prism and half of a cylinder.

Step-by-step explanation:

The rectangular prism is for the bottom part, and if you cut a cylinder vertically down it's diameter, you would get the top shape. Put em both together and BAM you got a chest. Periodt.

The 99% confidence interval for the true population mean backpack weight is approximately (68.15, 71.85) ounces, rounded to two decimal places.

To construct a 99% confidence interval for the true population mean backpack weight, we can use the formula:Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √Sample Size).

Since the population standard deviation is known, we can use the z-distribution and find the critical value corresponding to a 99% confidence level. The critical value for a 99% confidence level is approximately 2.576.

Given that the sample mean weight is 70 ounces, the population standard deviation is 6.4 ounces, and the sample size is 48, we can calculate the confidence interval:

Confidence Interval = 70 ± (2.576 * 6.4 / √48).

Simplifying the expression, we get:

Confidence Interval ≈ 70 ± 1.855.

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Answer:

The independent variable is the time spent drive and the dependent variable with the amount of gas in the tank

Step-by-step explanation:

Does the gas in the tank depend on the time driving or does the time driving depend on the amount of gas in the car.

The amount of gas is the tank is determined by how much time the car is driven.

Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1​.

Here, we have,

given that,

the LHS is:

sin⁴x-cos⁴x/ sin²x-cos²x

now, we know that,

sin²x+cos²x = 1

and, we know that,

a² - b² = (a+b) (a-b)

so, we get,

sin⁴x-cos⁴x/ sin²x-cos²x

= (sin²x+cos²x) (sin²x-cos²x ) / sin²x-cos²x

=(sin²x+cos²x)

=1

= RHS

Hence, Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1​

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The independent variable in this study is sleep deprivation, as the study aims to investigate the effects of sleep deprivation on the ability to drive.

This study is an experimental study that measures the effects of sleep deprivation on the ability to drive. The sample size is 19 professional drivers, and the study uses a within-subjects design as each driver participated in two experimental sessions: one after normal sleep and one after 27 hours of total sleep deprivation. The treatments were assigned in random order, meaning that each driver has an equal chance of being assigned to either the sleep deprivation or normal sleep condition. The outcome variable in this study is performance on a variety of tasks, including a driving simulation. The independent variable in this study is sleep deprivation, as the study aims to investigate the effects of sleep deprivation on the ability to drive.

Thus, The independent variable in this study is sleep deprivation, as the study aims to investigate the effects of sleep deprivation on the ability to drive.

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Answer:

bottom right

Step-by-step explanation:

bottom right

The amount of the original loan will be $637.

Let P be the loan amount, R be the interest, and T be the time period. Then the amount of interest is given as,

The formula for the amount of interest is written as,

I = (PRT)/100

Money is borrowed at a basic interest rate of 9%. The loan is paid off after one year with $694.33.

Then the amount of the loan is calculated as,

$694.33 - P = P x 0.09 x 1

$694.33 = 1.09P

P = $694.33 / 1.09

P = $637

The amount of the original loan will be $637.

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The given data set is:

a) The Mean:

Thus,

b) The median;

The median is the middle number or the average of the numbers if there are two(2) middle numbers.

However, the observations have to be arranged in ascending order.

In this case, the observations are already arranged from the lowest to the highest.

Thus, we have:

c) The Mode;

The mode is the most occuring observation.

Thus, the Mode is 4

d) The Range:

Answer:

actually I am sorry I dont rly know but I need some points

Step-by-step explanation:

A perfect square refers to a number that is the result of multiplying an integer by itself. In this case, 6^1 is equal to 6.

However, 6 is not a perfect square because it cannot be obtained by multiplying an integer by itself. The perfect squares up to 6^1 would be 1^2 = 1 and 2^2 = 4.

Answer:

Step-by-step explanation:

can you show part a nd b for a better understanding of the question

To make a profit Kelsey must make and sell more than 49  additional pendants

in this given sum we need to find how many additional pendents kelsey need to make and sell to make profit .  The information that are give in the sum

she has to pay $200 for the rent

materials for each pendant is $ 7.8 .

for 10 pendants  the total will be 10*7.8 = $78

Therefore she will spend a total of $(78 +200) = $278

So to make a profit the amount of pendants kelsey make multiply it by 13.50 should be greater than the totall amount she spend in making 10 pendants $278 added to the number  of pendants she makes multiply by 7.8 that is the total cost

let the no. of pendants she need to make be x

we can write then above explanation as

13.50x >278 + 7.8x

=> 13.5x - 7.8x > 278 +7.8x - 7.8x      [subtracting 7.8x on both side]

=> 5.7x > 278

=> x > 278/5.7 = 48.77 = 49 (approx.)

Kelsey needs to make more than 49 pendants rto make a profit.

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Answer:

0

Step-by-step explanation:

x < 4 means all numbers less than 4, excluding 4 itself.

4.5 > 4.

5 > 4.

so 0 is the solution

Answer:

4

Step-by-step explanation:

interval notation ( negative infinity, 4)

Answer:

a=-18

Step-by-step explanation:

It is the same as -1a=18, so you can just transfer that negative to the other side

The measure of each acute angle \(30^{0}\)

If you need to see the algebra, the acute angles in a right triangle are complementary, adding to 90 degrees:

x + 2x = 90

3x = 90

x = 30

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Answer:

36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²

Step-by-step explanation:

This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.

The values of the six trignometric functions for the angle are

The above sketch an angle θ in standard position such that θ has the least possible positive measure, and the point (0,-2) is on the terminal side of θ. We have to determine the value of six

triganomertric functions at angle θ. As we see at terminal side point (0,-2) the value of angle θ = 3π/2. The six trigonometric functions are sine, cosine , secant , cosecant , tangent , cotangent .

= Sin ( 180° + π/2) = - sin(π/2) ( since, 180° + θ represents 3rd quadrant where sinθ is negative)

=> Sinθ = - 1

= Cos( 180° + π/2) = - Cos(π/2) ( since, 180° + θ represents 3rd quadrant where cosθ is negative)

=> Cosθ = Cos(π/2) = 0

= tan( 180° + π/2) = - tan(π/2) ( since, 180° + θ represents 3rd quadrant where tanθ is positive)

=> tanθ = - sin(π/2)/cos(π/2) = 1/0

= undefined

= Csc( 180° + π/2) = - Csc(π/2) ( since, 180° + θ represents 3rd quadrant where cscθ is negative)

=> Cscθ = - Csc (π/2) = - 1/sin(π/2) = 1

= Sec( 180° + π/2) = - Sec(π/2) ( since, 180° + θ represents 3rd quadrant where secθ is negative)

=> Secθ = -Sec(π/2) = -1/cos(π/2) = - 1/0

= undefined

= Cot( 180° + π/2) = Cot(π/2) ( since, 180° + θ represents 3rd quadrant where cotθ is positive)

=> Cotθ = cot(π/2) = Cos(π/2)/sin(π/2) = 0

Hence, we determined all required triganomertric functions value for θ=3π/2.

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The six trignometric functions' values for the angle are

Tan = tan(3/2) = undefined, Sin = Sin(3/2) = -1, Cos = Cos(3/2) = 0, and vice versa.

Cot = Cot(3/2), Csc = Csc(3/2), and Sec = Sec(3/2), respectively.

The above drawing shows an angle in standard position with the point (0,-2) on the angle's terminal side and the smallest positive measure achievable. We must calculate the value of six.

Triganomertric operates at an angle. As can be seen, the angle's value is 3/2 at the terminal side point (0,-2). In trigonometry, there are six different functions: sine, cosine, secant, cosecant, tangent, and cotangent.

At this point, Sin = Sin(3/2) = Sin( + /2)

= Sin ( 180° + π/2) Since 180° + denotes the third quadrant, where sin is negative, the expression is equal to - sin(/2).

=> Sinθ = - 1

Cos is equal to Cos(3/2) = Cos(+/2)

because 180 degrees, = Cos(180° + /2) = - Cos(/2)

Since 180° + denotes the third quadrant, where cos is negative, the equation is Cos(180° + /2) = - Cos(/2).

Hence, Cos = Cos(/2) = 0.

Tan is equal to Tan (3/2) = Tan (+/2)

= tan( 180° + π/2) Since 180° + denotes the third quadrant, where tan is positive, the expression is = - tan(/2).

Consequently, tan = - sin(/2)/cos(/2) = 1/0

not defined

Csc is equal to Csc(3/2) = Csc(+/2)

Since 180° + represents the third quadrant, where csc is negative, Csc(180° + /2) = - Csc(/2)

=> 1/sin(/2) = 1 = Csc = - Csc (/2)

Se( + /2) = Se( = Sec(3/2)

Since 180° + represents the third quadrant, where sec is negative, sec(180° + /2) = - Sec(/2)

The formula is: Sec = -Sec(/2) = -1/cos(/2) = -1/0.

not defined

Cot = Cot(3/2), which equals Cot(+/2)

Since 180° + denotes the third quadrant, where cot is positive, the equation is Cot(180° + /2) = Cot(/2).

Consequently, Cot = Cot(2/2) = Cos(2/2)/sin(2/2) = 0

As a result, we calculated the values for all necessary triganomertric functions for 3/2.

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The domain of a quadratic function is (-∞, +∞), and the range depends on the coefficient a and can be [c, +∞) or (-∞, c] depending on the direction of the parabola.

To determine the domain and range of a quadratic function, we consider the characteristics of the function and its graph.

The domain of a quadratic function, represented by the variable x, is the set of all possible input values for which the function is defined. Since quadratic functions are defined for all real numbers, the domain of a quadratic function is (-∞, +∞) or the set of all real numbers.

The range of a quadratic function, represented by the variable y or f(x), is the set of all possible output values that the function can take. For a quadratic function in the form f(x) = ax^2 + bx + c, where a ≠ 0, the range depends on the coefficient a. If a > 0, the parabola opens upward, and the range is [c, +∞). If a < 0, the parabola opens downward, and the range is (-∞, c].

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Answer:

1/2 of

4/3 x

3 x

1 unit of

Step-by-step explanation:

have a nice day!

Answer:

1/2 of

4/3 x

3 x

1 unit of

half of, twice, greater than

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

Add the 3 ratio portions together: 1 + 4 + 7 = 12

Divide total length by 12:

84/12 = 7

Multiply each ratio portion by 7:

1 x 7 = 7

4 x 7 = 28

7 x 7 = 49

The longest piece is 49 cm

Answer:

49cm

Step-by-step explanation:

1x+4x+7x=84

12x=84

X=7

4*7=28

7*7=49

So we can see 49cm is the longest.