Evaluate the finite series of the given number of terms -175, -171,-167,-163,....;n=67

The proportional relationship representing the situation is given by

y = 8x.

Two numerical sequences, typically experimental data, are said to be proportionate or directly proportional if the ratio of their associated parts is constant, which is known as the coefficient of proportionality of proportionality constant. Two sequences are termed inversely proportionate if the product of their respective elements is constant, also known as the proportionality coefficient.

This concept is usually extended to related changeable quantities, sometimes known as variables. This is not the standard definition of variable in arithmetic, because two separate concepts have the same name for historical reasons.

Given that Percy rides his bicycle for 11.2 miles in 1.4 hours.

Let the constant of proportionality be k.

Therefore the proportional relationship is represented as:

y = k x

Now therefore putting the values we get:

11.2 = k × 1.2

or, k = 8

Hence the relationship will look like :

y = 8 x

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Answer:

2.82

Explanation:

Answer: 50°

Step-by-step explanation:

Since angle 3 is in a right triangle we can assume one angle is 90° and then the other missing angle will be 40°

Because you take 180°-140°(the angle next to it) which will equal 40°

Now every triangle must add up to 180°

so lets take the angles we have now

90° +40°=130°

now take that 130°

180°-130°=50°

Now check your work

90°+40°+50°=180°

Angle 3 is 50°

A: The linear equations are x + y = 125 and x = y + 45.

B: Everyday Angela spends 40 minutes in playing golf.

C: No, it is not possible for Angela to spend 80 minutes playing soccer every day.

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

Part A:

Let x be the number of minutes Angela plays soccer every day

Let y be the number of minutes Angela plays golf every day

According to the problem statement the linear equations are -

x + y = 125 (total time playing both sports is 125 minutes)

x = y + 45 (Angela plays 45 more minutes of soccer than golf)

Part B:

Substitute x = y + 45 into the first equation -

(y + 45) + y = 125

Use the addition operation -

2y + 45 = 125

2y = 80

y = 40

Angela spends 40 minutes playing golf every day.

Part C:

If Angela spends 80 minutes playing soccer every day, then

x = 80

y + 45 = 80 (using the equation x = y + 45)

y = 35

But this would mean that she plays golf for 35 minutes and soccer for 80 minutes, which adds up to a total of 115 minutes.

This is not possible since the problem states that Angela plays both sports for a total of 125 minutes every day.

Therefore, it is not possible for Angela to have spent 80 minutes playing soccer every day.

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The length of each side of the wood is 5 centimetres.

Doug has 8 square pieces of wood. Each piece of wood have a side length of s cm. The total area of all 8 pieces of wood is 200 cm².

Hence, using quadratic equation let's find the length of each side of the wood.

Therefore,

8s² = 200

Hence,

8s² = 200

divide both sides of the equation by 8

s² = 200 / 8

s² = 25

s = √25

s = 5 centimetres

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Answer:

o minutes5.10.15.20.25.30.35.40.45.50 minutes

Answer:

Asking yourself how much you'd be willing to spend if someone else offered you a similar product.

Answer:

first one is your answer option a) hope it helps

Answer: B

Step-by-step explanation:

Answer:

ok if you have a calculator you go to STAT EDIT it will pull up a table the first one is for x values the second one is for y valuesyou type in one number like 13 then push enter do it for all four the push the right arrow and enter those numbers the go to STAT over to the right it sould be CALC then push the number 4scroll down to calculate and click it it will generate the slobe in ax+b form

Step-by-step explanation:

it is -5x+76

i hope this helps brainliest plz

The mean and standard deviation for a uniform continuous model is 47.5 and 25.7.

Define the mean and standard deviation for a uniform continuous model.

A uniform distribution is a probability distribution where each number in the range from a to b has an equal chance of being selected.

             ∴ σ = (b – a) / \(\sqrt{12}\)

Given:

U = (3, 92)

Mean for a uniform continuous model = (92+3)/2 ⇒ 47.5

The standard deviation for a uniform continuous model = (92-3)/ \(\sqrt{12}\)

                                                                                             = 89/      \(\sqrt{12}\)

                                                                                             = 25.7

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We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

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The function g(x) = x² + 4x has a: A. minimum.

The minimum value occur at x = -2.

The function's minimum value is -4.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

For the given quadratic function g(x) = x² + 4x, we have:

a = 1, b = 4, and c = 0

Axis of symmetry, Xmax = -b/2a

Axis of symmetry, Xmax = -(4)/2(1)

Axis of symmetry, Xmax = -2

Next, we would determine vertex as follows;

g(x) = x² + 4x

g(-2) = -(-2)² + 4(-2)

g(-2) = -4.

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Part 1

The equation is \(y=a(x+8)(x-72)\).

Using the point \((62, -490)\) to solve for \(a\),

\(-490=a(62+8)(62-72) \implies a=\frac{7}{10}\\\\\therefore \boxed{y=\frac{7}{10}(x+8)(x-72)}\)

Part 2

When \(x=-8\), \(y=0\).

When \(x=2\), \(y=-490\).

So, the average rate of change is \(\frac{-490-0}{2-(-8)}=\boxed{-49}\)

I'm pretty sure the answer is number 2.

Answer:

b

Step-by-step explanation:

Answer:

28.8 min

Step-by-step explanation:

48 x 40% = 19.2

48-19.2 = 28.8

Answer:

2e = c

Step-by-step explanation:

Let :

Egg = e

Cookies = c

2 eggs for every 1 dozen of cookies

This gives the Mathematical expression :

2 eggs = 1 c

2e = c

Answer:

X=18

Step-by-step explanation:

Answer:

x = 3.5 units (nearest tenth)

Step-by-step explanation:

The given triangle has a one right angle and two angles each measuring 45°. Therefore, it is a 45-45-90 triangle.

A 45-45-90 triangle is a special right triangle where the measures of its sides are in the ratio 1 : 1 : √2.  

Therefore, the formula for the ratio of the sides is x : x : x√2 where:

As the hypotenuse of the given right triangle is 5 units:

\(\implies x\sqrt{2} = 5\)

To find the measure of x, solve for x:

\(\implies \dfrac{x\sqrt{2}}{\sqrt{2}} = \dfrac{5}{\sqrt{2}}\)

\(\implies x = \dfrac{5}{\sqrt{2}}\)

\(\implies x =3.5355339...\)

\(\implies x=3.5\; \sf units\;(nearest\;tenth)\)

Therefore, the length of side x to the nearest tenth is 3.5 units.

Answer:

38.911≤p≤41.089

Step-by-step explanation:

The formula for calculating confidence interval for a population mean us as shown below;

CI = xbar ± Z×S/√N where;

xbar is the sample mean = 40

Z is the z score at 95% confidence interval = 1.96

S is the standard deviation = 5

N is the sample size = 81

Substituting this parameters in the formula we have;

CI = 40±1.96×5/√81

CI = 40±(1.96×5/9)

CI = 40±(1.96×0.556)

CI = 40±1.089

CI = (40-1.089, 40+1.089)

CI = (38.911, 41.089)

The 95% confidence interval for the population mean is 38.911≤p≤41.089

Answer:

38.9 ≤ U ≤ 41.1

Step-by-step explanation:

Mean, m = 40; standard deviation, α = 5; Confidence limit, U = 95% or 0.95

N = 81

The standard error, α(m) = α/√(N) = 5/√81 =5/9

Using table: 0.95 = 0.0379

Z(0.95) = 2 - 0.0379 = 1.9621 or 1.96

Hence, confidence interval = { m - 1.96(α/√N) ≤ U ≤ m +1.96(α/√N)}

But, 1.96(α/√N) = 1.96 X 5/9 = 1.96 X 0.56 = 1.1

(40 - 1.1 ≤ U ≤ 40 + 1.1)

∴ the confidence interval = 38.9 ≤ U ≤ 41.1

the branch of statistics for the scenario given regarding 10,000 Students is Descriptive Statistics.

In a study, descriptive statistics are used to describe the fundamental characteristics of the data. They provide brief summaries regarding the measures and samples. They serve as the foundation for virtually every quantitative data analysis, along with straightforward graphics analysis.

In most cases, descriptive statistics are different from inferential statistics. When you use descriptive statistics, you simply describe what the data show or are. With inferential statistics, you are attempting to draw inferences from data that go beyond the immediate facts. For instance, we attempt to infer what the general population might think from the sample data using inferential statistics.

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Answer:

\(t=\frac{\bar x_1- \bar x_2}{\sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2} } }\)

Step-by-step explanation:

H0: µ1 – µ2 = 0

HA: µ1 – µ2 ≠ 0

We have given,

The population variances are not known and cannot be assumed equal.

The test statistic for the test is

\(t=\frac{\bar x_1- \bar x_2}{\sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2} } }\)

Where,

\(\bar x_1\) = sample meaan of population 1

\(\bar x_2\) = sample mean of population 2

\(n_1\) = sample size of population 1

\(n_2\) = sample size of population 2

Therefore, this is the test

\(t=\frac{\bar x_1- \bar x_2}{\sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2} } }\)

The correct answer is x² - 7x - 18 = (x - 9)(x + 2)

Answer:

6 bags.

Step-by-step explanation:

Subtract 38 from 75 to represent the remaining amount of Matthew's money.

\(75-38=37.\)

Matthew has $37 left over from buying flowers.

Divide 37 by 6 to represent how many bags of soil he can buy.

\(37\div6=6\frac{1}{6}\)

Matthew can only buy 6 bags of soil, 1/6 isn't included because you can't buy a fraction of a bag.

Answer:

y = 0.8

Step-by-step explanation:

140.55 pounds will be sold approximately each week at the optimal price of $0.67/lb.

To find the price elasticity of demand for bananas at $0.20/lb, we need to use the formula:

According to the given data:

E(p) = -p(q'/q(p))

where q' is the derivative of q(p) with respect to p.

First, we need to find q'(p):

\(q'(p) = -225e^(1.5(5-p))\)

Then, we can plug in the values:

E(0.20) = -0.20(q'(0.20)/q(0.20))

= \(-0.20(-225e^(1.5(5-0.20)) / 100e^(1.5(5-0.20)))\)

= 2.70

Therefore, the price elasticity of demand for bananas at $0.20/lb is 2.70.

To find the price elasticity of demand for bananas at $1/lb, we can use the same formula:

E(p) = -p(q'/q(p))

First, we need to find q'(p):

\(q'(p) = -225e^(1.5(5-p))\)

Then, we can plug in the values:

E(1) = -1(q'(1)/q(1))

= \(-1(-225e^(1.5(5-1)) / 100e^(1.5(5-1)))\)

= 0.68

Therefore, the price elasticity of demand for bananas at $1/lb is 0.68.

To find the price that maximizes revenue, we need to find the value of p that makes revenue, R(p), maximum.

Revenue is given by:

R(p) = pq(p)

= \(p100e^(1.5(5-p))\)

To maximize revenue, we need to find the critical point of R(p) by taking its derivative and setting it equal to zero:

\(R'(p) = 100e^(1.5(5-p)) - 150pe^(1.5(5-p)) = 0\)

Simplifying this expression, we get:

\(2e^(1.5(5-p)) - 3pe^(1.5(5-p)) = 0\)

2 = 3p

p = 2/3

Therefore, the price that maximizes revenue is $0.67/lb.

To find the maximum revenue per week, we can plug this price back into the revenue equation:

\(R(2/3) = (2/3)*100e^(1.5(5-2/3))\)

= $167.56

Therefore, the maximum revenue per week is $167.56.

To find how many pounds will be sold each week at the optimal price of $0.67/lb, we can plug this price back into the demand equation:

\(q(2/3) = 100e^(1.5(5-2/3))\)

= 140.55

Therefore, approximately 140.55 pounds will be sold each week at the optimal price of $0.67/lb.

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Explanation:

Replace (4x+6) with another variable. Let's go for w.

We'll then use the distributive property like so,

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

w*(2x-3)

w*2x + w*(-3)

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

Answer:

B

Step-by-step explanation:

break in down to a simplier...

2.5x40=100

20 goes into 50 twice leaving 10 left over which is half of 20.

hope this helps

Answer:

it is b i know im late

Step-by-step explanation:

also wanna be my friend sissykatlin2026

Answer:

5 tons and 8 pounds

Step-by-step explanation:

1 ton is equal to 2000 pounds.

40 tons is equal to 80000 pounds (40*2000)

80000+64=80064

80064/8 = 10008

10008 is equal to 10000+8

10000/2000 = 5

5 tons and the leftover 8 is pounds

Hope I was able to help! Good Luck!