NEED HELP ASAP TYSMMM

Answer:

5029

Step-by-step explanation:

There is a common difference between consecutive terms, that is

d = - 201 - (- 215) = - 187 - (- 201) = - 173 - (- 187) = 14

This indicates the sequence is arithmetic with sum to n term

\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = - 215 and d = 14 , then

\(S_{47}\) = \(\frac{47}{2}\) [ (2 × - 215) + (46 × 14) ]

     = 23.5 (- 430 + 644)

    = 23.5 × 214

    = 5029

Answer:

a

Step-by-step explanation:

Answer: c

Step-by-step explanation:

The work done by the water from the reservoir, traveling a distance, h, meters, can be found using the expression; (2/3)·π·r³×ρ×g×h

Energy is the ability to do work, and power is the rate at which work is done.

The work done is the product of the force applied and the distance traveled in the direction of the force.

Radius of the reservoir = r

Density of the water = ρ

Height  of the upper elevation = h

Gravitational acceleration = g

The force is the weight of the water pumped

Weight = Mass × Gravity

Mass = Density × Volume

Therefore;

Volume of the water = (2/3)·π·r³

Mass of the water = (2/3)·π·r³ × ρ

Weight of the water = (2/3)·π·r³ × ρ × g

The work done by the water is therefore;

The work that should be done is, W = (2/3)·π·r³ × ρ × g × h

Learn more about work energy and power here:

https://brainly.com/question/13422138

#SPJ1

When a widget of price $704 dropped to $336 over eight years, the linear trend of price can be expressed as y = -46x + 704, where y is the price of the widget and x is the number of years passed.

Therefore, the answer is y = -46x + 704

A linear trend implies the trend can be represented by a linear equation. The highest power of variable in a linear equation is 1.

Let us say the trend is expressed as y = mx + c, where y is the price of the widget and x is the number of years passed.

Initially, that is when x = 0 the price is $704. Substituting this

704 = m × 0 + c

Therefore, c = 704.

Over 8 years, that is when x = 8 the price is $336. Substituting this

336 = m × 8 + 704

m = - (704 - 336)/ 8

m = -46

To know more on linear equations

https://brainly.com/question/14777074

#SPJ4

We want to find the value of k given that the area of the region R is 36. To do this, we need to find the limits of integration and set up the integral for finding the area of the region R. The answer is (B) 3.

Since R is in the fourth quadrant and is enclosed by the x-axis and the curve Y = X^2 - 2KX, we can find the limits of integration by setting Y = 0 and solving for X:

0 = X^2 - 2KX
X(X - 2K) = 0
X = 0 or X = 2K

So the limits of integration are from X = 0 to X = 2K.

Now we can set up the integral for finding the area of the region R:

∫[0,2K] (X^2 - 2KX) dX

Integrating this expression gives:

[(1/3)X^3 - KX^2] evaluated at 0 and 2K

Plugging in the limits of integration and simplifying, we get:

(8/3)K^3 - 4K^3

Simplifying this expression, we get:

(2/3)K^3 = 36

Solving for K, we get:

K^3 = 54

Taking the cube root of both sides, we get:

K = 3

Therefore, the answer is (B) 3.

To find the value of k, follow these steps:

1. Determine the x-intercepts of the curve Y = X^2 - 2KX by setting Y = 0.
0 = X^2 - 2KX
X(X - 2K) = 0
The x-intercepts are X = 0 and X = 2K.

2. As we are looking for the area in the fourth quadrant, the integral bounds are from 0 to 2K.

3. Set up the integral for the area:
Area = ∫(X^2 - 2KX) dx, from 0 to 2K

4. Evaluate the integral:
Area = (X^3/3 - KX^2) | from 0 to 2K
= [(8K^3/3 - 4K^3) - (0)]
= 8K^3/3 - 4K^3
= (4K^3/3)

5. Set the area equal to 36 and solve for k:
36 = (4K^3/3)
9 = K^3
k = 3^(1/3) ≈ 2.08

The closest value from the given options is (A) 2.

Learn more about integration at: brainly.com/question/18125359

#SPJ11

Answer:

C. z + 4

Hope this helps :)

Step-by-step explanation:

When it says "sum," it means the answer to 2 number that you add. The first number will be unknow which z will stand for, and the second number is 4 since it was stated in the statement, "the sum of a number and 4."

The fraction of crayons that are blue triangle is 1/5.

The ratio of blue rounds to non-blue crayons is

The fraction of footballs that are brown rubber footballs is 8/15 and here are 4 times as many rubber footballs as non-rubber footballs

A fraction represents a part of a whole.

1. Let's say Alexa had a total of 5x crayons in the bag.

the number of blue crayons in the bag is 2x,

There is one triangle for every two round crayons,

(1/2) × 2x = x (By condition)

So, the fraction of crayons that are blue triangle is x / 5x = 1/5.

The number of blue round crayons is 2x.

The number of non-blue crayons is 5x - 2x = 3x,

The ratio of blue rounds to non-blue crayons is 2x / 3x = 2/3.

2.

4 out of 5 wall footballs are rubber, 4/5 of the footballs in the bag are rubber.

The fraction of rubber footballs that are brown is 2/3.

The fraction of footballs that are brown rubber footballs is (4/5) × (2/3) = 8/15.

The fraction of non-brown rubber footballs is (4/5) - (8/15) = 4/15.

The ratio of rubber footballs to non-rubber footballs is (4/5) / (1/5) = 4.

So there are 4 times as many rubber footballs as non-rubber footballs

Hence,  the fraction of crayons that are blue triangle is 1/5.

The ratio of blue rounds to non-blue crayons is

The fraction of footballs that are brown rubber footballs is 8/15 and here are 4 times as many rubber footballs as non-rubber footballs

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ1

Wages earned: $94,891

Interest received: $1,799

Contribution to tax-deferred saving plan: $3,510

Donation to charity: $4,447

Based on the given information, Tina, a single woman, earned wages of $94,891, received $1,799 in interest from a savings account, contributed $3,510 to a tax-deferred saving plan, and donated $4,447 to charity.

To summarize:

Wages earned: $94,891

Interest received: $1,799

Contribution to tax-deferred saving plan: $3,510

Donation to charity: $4,447

These figures represent Tina's financial activities and reflect her income, savings, and charitable contributions.

Learn more about  interest. from

https://brainly.com/question/25720319

#SPJ11

Part B:Let's say the possible outcomes are H and T, for heads and tails. If we flip a coin 10 times, the following are the possible outcomes:HHHHHHHHHHTTTTTTTTTTHence, the frequency of each outcome is:  H = 9; T = 1.Experimentally, the probability of landing on heads is 9/10, i.e., 0.9.

Part C:Probability theory is concerned with the study of random events. These events are often expressed as a fraction or a percentage. The probability of an event happening is represented by a number between 0 and 1. When we toss a coin, the probability of it landing on heads is 1/2, or 0.5, and the probability of it landing on tails is also 1/2, or 0.5. This is known as theoretical probability.

Theoretical probability is based on the assumption that the outcomes of an experiment are equally likely. In reality, this may not always be the case. In our experiment, we saw that the frequency of landing on heads was 9/10, which is not the same as the theoretical probability of 1/2, or 0.5.

This is known as experimental probability.Experimental probability is based on the actual results of an experiment. It can be used to estimate the theoretical probability of an event.

In our experiment, we saw that the experimental probability of landing on heads was 0.9. This is close to the theoretical probability of 0.5, but not exactly the same. The more times we repeat the experiment, the closer the experimental probability will be to the theoretical probability.

For such more question on frequency

https://brainly.com/question/254161

#SPJ8

Answer:

  62.9 square units

Step-by-step explanation:

The area of a composite shape is the sum of the areas of the parts. Here the shape consists of a positive rectangle that has dimensions 8 × 11, together with a negative half circle of radius 8/2 = 4. That is, the area of the half-circle is subtracted from the area of the rectangle, as the problem statement tells you.

__

The area of a rectangle is the product of its dimensions:

  A = LW = (11)(8) = 88 . . . . square units

The area of a semicircle is half the area of a circle, so will be given by the formula ...

  A = 1/2πr^2 = 1/2π(4^2) = 8π ≈ 25.1 . . . . square units

The area of the figure shown is the difference between the rectangle area and the semicircle area:

  total area = rectangle area - semicircle area

  total area = 88 -25.1 = 62.9 . . . . square units

we have shown mathematically that for any nonnegative values t1 and t2, P(X > t1 + t2 | X > t1) = P(X > t2), which demonstrates the "lack of memory" property of the exponential distribution.

To prove the "lack of memory" property of the exponential distribution, we need to show that for any nonnegative values t1 and t2, the following expression is true:

P(X > t1 + t2 | X > t1) = P(X > t2)

Let's start by using the definition of conditional probability:

P(A | B) = P(A ∩ B) / P(B)

In this case, we have A: X > t1 + t2 and B: X > t1. We want to find P(A | B), which is the probability that X is greater than t1 + t2 given that it is greater than t1.

We can rewrite the conditional probability as:

P(X > t1 + t2 | X > t1) = P(X > t1 + t2 and X > t1) / P(X > t1)

Since X is a continuous random variable, we can express these probabilities using the cumulative distribution function (CDF) of the exponential distribution.

P(X > t1 + t2 | X > t1) = [1 - F(t1 + t2)] / [1 - F(t1)]

where F(t) is the CDF of the exponential distribution with parameter λ.

The CDF of the exponential distribution is given by:

F(t) = 1 - e^(-λt)

Substituting this into the equation, we have:

P(X > t1 + t2 | X > t1) = [1 - (1 - e^(-λ(t1 + t2)))] / [1 - (1 - e^(-λt1))]

Simplifying, we get:

P(X > t1 + t2 | X > t1) = e^(-λ(t1 + t2)) / e^(-λt1)

Using the properties of exponents, we can rewrite this as:

P(X > t1 + t2 | X > t1) = e^(-λt2)

which is equivalent to:

P(X > t2)

Practical interpretation:

The "lack of memory" property of the exponential distribution means that the distribution does not remember its past. In practical terms, it implies that the probability of an event occurring after a certain amount of time does not depend on how much time has already passed. For example, if X represents the time until a light bulb fails, and X follows an exponential distribution, then the probability that the light bulb will fail in the next hour is the same regardless of how long the light bulb has already been in use.

To learn more about probability visit:

brainly.com/question/31828911

#SPJ11

Therefore, the correct answer is c) 3, as there are three F ratios calculated in a 2x2 factorial design.

In a two-way analysis of variance (ANOVA) known as a 2x2

factorial design, there are three F ratios or F statistic values calculated. This design involves two independent variables, each with two levels or categories.

The three F ratios represent the main effects of each independent variable and the interaction between the two variables.The main effects F ratios determine whether there are significant differences between the levels of each independent variable individually, ignoring the other independent variable.

There will be two main effects F ratios, one for each independent variable.The interaction F ratio examines whether there is a significant interaction between the two independent variables. It determines whether the effect of one independent variable differs across the levels of the other independent variable.

This F ratio assesses the joint influence of both independent variables.

Learn more about factorial design,

brainly.com/question/18402941

#SPJ11

The argument of z that satisfies 0° ≤ θ < 27° is approximately 420°.

To write the complex number z = (-1+√3)¹7 in polar form, we first need to find its modulus (r) and argument (θ):

r = |z| = sqrt((-1+√3)²) = |-1+√3| = 2 - √3

To find the argument θ, we can use the formula:

θ = tan⁻¹(Im(z)/Re(z))

where Im(z) is the imaginary part of z and Re(z) is the real part of z.

Im(z) = √3 and Re(z) = -1, so

θ = tan⁻¹(√3/(-1)) = tan⁻¹(-√3) ≈ -60° + 180°k

where k is an integer.

Since 0° ≤ θ < 360°, we add multiples of 360° to θ until the result is between 0° and 27°:

-60° + 180°k = 300° + 180°k for k = 2

-60° + 180°k = 420° + 180°k for k = 3

Therefore, the argument of z that satisfies 0° ≤ θ < 27° is approximately 420°.

Finally, we can write the complex number z in polar form as:

z = r(cos θ + i sin θ) ≈ (2 - √3)(cos 420° + i sin 420°)

Note that we used radians for the angle in the cosine and sine functions. If you prefer degrees, you can convert 420° to radians by multiplying by π/180.

Learn more about complex number from

https://brainly.com/question/5564133

#SPJ11

The probability that there are at least two people with the same birthday in a class of 95 students is about 0.9156 or 91.56%. This is a high probability due to the large number of students in the class.

To calculate the probability of at least two people having the same birthday in a class of 95 students, we can use the formula:
P(at least 2 people have the same birthday) = 1 - P(all 95 students have different birthdays)
The probability that the first student has a unique birthday is 1 (since there are no other students to share a birthday with yet). The probability that the second student has a unique birthday is 364/365 (since there is now one day taken up by the first student's birthday). The probability that the third student has a unique birthday is 363/365, and so on. We can multiply all of these probabilities together to get the probability that all 95 students have different birthdays:
P(all 95 students have different birthdays) = 1 x 364/365 x 363/365 x ... x 272/365
Using a calculator, we can find that this probability is approximately 0.0844.
Therefore, the probability that at least two people have the same birthday is:
P(at least 2 people have the same birthday) = 1 - 0.0844
P(at least 2 people have the same birthday) ≈ 0.9156
So the probability that there are at least two people with the same birthday in a class of 95 students is about 0.9156 or 91.56%. This is a high probability due to the large number of students in the class.

Learn more about probability here, https://brainly.com/question/25839839

#SPJ11

Answer:

May 4th has become known as Star Wars Day, an unofficial holiday that gets its origin from a line of dialogue in the first movie released in George Lucas' space saga, "Star Wars: A New Hope." ... After that, the saying crops up regularly in the films, books, video games and across the Star Wars universe.

All the solutions are,

⇒ LSA = 80.4π yards²

⇒ LSA = 321.6π yards²

⇒ V = 2786.2 yards³

⇒ SA = 186.5 inhces²

Now, We can simplify as;

1) Slant Height = 13.4 yards

Diameter = 12 yards

Hence, Radius = 6 yards

Since, Lateral surface area of cone is,

⇒ LSA = πrl

⇒ LSA = π × 6 × 13.4

⇒ LSA = 80.4π yards²

2) Slant Height = 26.8 yards

Hence, Radius = 12 yards

Since, Lateral surface area of cone is,

⇒ LSA = πrl

⇒ LSA = π × 12 × 26.8

⇒ LSA = 321.6π yards²

3) Height = 22 yards

Diameter = 22 yards

Hence, Radius = 11 yards

Since, Volume of cone is,

⇒ V = πr²h/3

⇒ V = π × 11² × 22 / 3

⇒ V = 2786.2 yards³

4) Surface area of pyramid is,

SA = (8 x 7) + 1/2 x (2 x (8 + 7) x 8.7

SA = 56 + 15 x 8.7

SA = 186.5 inhces²

Learn more about the multiplication visit:

brainly.com/question/10873737

#SPJ1

complete question:

attached

Researchers engage in experimentation to exercise maximum control over the factors they are interested in studying.

Generally, experimenter trials are used to control the study's variables. The experimental approach entails changing one variable to see if it affects another variable. This approach uses controlled exploration methods and arbitrary subject selection to test a thesis.

For illustration, experimenters might be interested in changing how colorful visual patterns may affect our perception. They might also consider whether specific actions can enhance memory. Multitudinous behavioral issues are the subject of trials, some of which include cognition, emotion, memory, perception, and sensation.

To learn more about experimentation, visit the link below:

brainly.com/question/28166603

#SPJ4

Answer:

  (x, y) = (-1, 5)

Step-by-step explanation:

You want to solve this system of equations by substitution.

The idea of substitution means we want to replace an expression in one equation for an equivalent expression based on the other equation.

Here, the second equation gives an expression equivalent to "y", so we can use that expression in place of y in the first equation:

  5x +2(-2x +3) = 5 . . . . . . . . (-2x+3) substitutes for y

  x +6 = 5 . . . . . . . . . . simplify

  x = -1 . . . . . . . . . subtract 6

  y = -2(-1) +3 = 5 . . . . . use the second equation to find y

The solution is (x, y) = (-1, 5).

__

Additional comment

Choosing substitution as the solution method often works well if one of the equations gives an expression for one of the variables, or if it can be solved easily for one of the variables. The "y=" equation is a good candidate for providing an expression that can be substituted for y.

Any equation that has one of the variables with a coefficient of +1 or -1 is also a good candidate for providing a substitution expression.

  4x -y = 3   ⇒   y = 4x -3 . . . . . for example

The attached graph confirms the solution above.

Answer:

E

Step-by-step explanation:

I did it on AP Classroom

Answer: Strawberry

Step-by-step explanation: Strawberry has the highest candies so it has the highest chance of being pulled out.

Answer:

The answer is y = x (2x + 1 ) ( x - 2 )

Step-by-step explanation:

The quotient of the division problem is (x + 1)/(x +2). The result is obtained by determining the factors of the two quadratic equations.

The quadratic equation can be expressed as

ax² + bx + c = 0

Where c is a constant.

To find the factors of a quadratic equation, follow these steps!

Find the quotient of (x² + 2x + 1)/(x² + 3x + 2) = 0!

For quadratic equation x² + 2x + 1:

The common factors: (x + 1)(x + 1)

For quadratic equation x² + 3x + 2:

The common factors: (x + 2)(x + 1)

The quotient of the quadratic equations is

(x² + 2x + 1)/(x² + 3x + 2) = 0

(x + 1)(x + 1)/(x + 2)(x + 1) = 0

(x + 1)/(x + 2) = 0

Hence, the quotient of the quadratic equations is (x + 1)/(x + 2) = 0.

Learn more about factoring quadratic equations here:

brainly.com/question/1863222

#SPJ4

Answer:

l=700.4 cm

Step-by-step explanation:

Answer:  THE 100G PACKET

Step-by-step explanation:

1) FIND OUT THE COST OF COFFEE PER G

So for the 100g coffee it costs ( 8.10 / 100) = $0.081

                                          AND

For the 25g coffee it costs (2.05 / 25) = $0.082

The coffee that is 100g is mor cost-efficient so that is your answer

Answer:

Method A is the answer

Answer:

Step-by-step explanation:

Method A is an experiment because random assignment determines which cars receive the additive and which cars do not. Method B is not an experiment because there is no control group and participants are self-selecting, which can introduce bias and confounding variables that may affect the results.

The equation that represents a line that is perpendicular to the line represented by 2x - y = 7 is y = -1/2x + 6

The equation of a line in slope-intercept form is expressed as;

y = mx + b

where;

m is the slope

b is the y-intercept

For two lines to be perpendicular, the product of their slope must be -1

Given the equation 2x - y =7​

Rewrite

y = 2x - 7

The slope of the line is 2, the slope of the line perpendicular must be -1/2. Hence from the given option, the equation that represents a line that is perpendicular to the line represented by 2x - y = 7 is y = -1/2x + 6

Learn more on equation of a line here: https://brainly.com/question/13763238

#SPJ1

Answer:

Step-by-step explanation:

We solve this using a proportion.

\(\frac{10.5}{5} = \frac{x}{7}\)

10.5 x 7 = 73.5

5x = 73.5

x = 14.7

Now let's check the proportion.

\(\frac{10.5}{5} = \frac{14.7}{7}\)

10.5 x 7 = 73.5

14.7 x 5 = 73.5

73.5 = 73.5 ✅

I'm always happy to help :)