HELP PLEASE!!!



Hooke's Law for an elastic spring states
that the distance a spring stretches varies
directly as the force applied. If a force of
100 newtons stretches a spring 5 cm, how
much will a force of 360 newtons stretch
the same spring?
Distance of Stretch = [?] cm

Answer:

Im too gucci. 88.

Step-by-step explanation:

Answer:

K = √-6k

i did the math and got this answer and it was right

After 18 years, the investment compounded periodically (quarterly) will be worth $1,230.23 more than the investment compounded annually.

Compounded interest refers to the interest system that charges interest on both principal and accumulated interest.

The period of compounding in a year determines the worth of the future value.

The future value can be ascertained using an online finance calculator as follows:

Interest periods: = 4 times yearly (Quarterly)

Principal = $5,000

Annual interest rate = 9%

Number of years: 18

N (# of periods) = 72 quarters (18 years x 4)

I/Y (Interest per year) = 9%

PV (Present Value) = $5,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $24,815.83

Total Interest = $19,815.83

Interest periods: = Annually

N (# of periods) = 18 years

I/Y (Interest per year) = 9%

PV (Present Value) = $5,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $23,585.60

Total Interest = $18,585.60

Difference in Future Values $1,230.23 ($24,815.83 - $23,585.60)

Thus, an investment compounded periodically earns more than an investment compounded annually.

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Answer: I think it’s 30

Step-by-step explanation:

The probability that the third largest observation in the sample is less than 0.7 is  0.2401 =  24.01%.

The sample size n = 5,

Therefore the order statistics will be represented as X₁, X₂, X₃, X₄, and X₅.

Probability that X₃ is less than 0.7:

Since X₃ is the third largest observation =  (X₁ and X₂) < 0.7.

The probability that X₃ is less than 0.7 is (0.7)² = 0.49.

.

The probability that both X₁ and X₂ are less than or equal to 0.7 is (0.7)² = 0.49 because in a continuous uniform distribution, the probability of any single observation being less than 0.7 is 0.7 - 0 = 0.7.

We then get the product of both cases:

Probability = 0.49 * 0.49 = 0.2401

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Answer:

it is inscribed in the circle.

Step-by-step explanation:

The values in the table represent a linear function.

The correct option is; Yes; The rate of change = 3/2

A linear function is a function forms a straight line when plotted on the coordinate plane.

The values in the table represent a linear function, where we get;

The first difference is constant

The subsequent x-values increase by the same value

The increase the subsequent x-values is; 4 - 2 = 6 - 4 = 8 - 6 = 2, which is a constant

The first difference in the y-values is; 6 - 3 = 9 - 6 = 12 - 9 = 3

The first difference is a constant, 3, therefore, the values in the table represent a linear function.

The slope or rate of change is the ratio of the first difference to the difference in subsequent x-value, therefore;

The rate of change = 3/2

The correct option is therefore; Yes, rate of change = 3/2

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Answer:

20

Step-by-step explanation:

percentage error = predictions - actual ÷actual × 100

error

\( \frac{82 - 52 \\ }{52} \times 100\)

=

20

The statement "Economists and accountants usually disagree in the inclusion of implicit costs into the cost analysis of a firm " is true

Accountants are the peoples who track the flow of money for the individuals and the business activities. But the Economist track the largest trends that use the money and resources of the company

So the view of the Economist and accountant on cost is different, because both of them are seeing the cost analysis of the company in different ways.  So it possible that the Economists and accountants disagree in the inclusion of implicit cost

Therefore, the given statements is true

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Step-by-step explanation:

there is something severely wrong with the problem definition.

when the Hypotenuse = 9, there is no 30-60-90 triangle with a leg = 6.

and when we are just focusing that this is a right-angled triangle with the Hypotenuse = 9, then 6 cannot be the longer leg.

it is also not clear what the solution is supposed to be. the 2nd leg ? the area ? the perimeter ? the height(s) ? ...

what ?

so, all I can do here is to show you why I said what I said :

30-60-90 triangle with Hypotenuse = 9

then the longer leg is opposite of the 60° angle and therefore sin(60)×9 = 7.794228634...

the shorter leg is opposite of the 30° angle and therefore sin(30)×9 = 0.5×9 = 4.5

a right-angled triangle with Hypotenuse = 9, one leg = 6 gives us per Pythagoras for the other leg

9² = 6² + leg²

81 = 36 + leg²

45 = leg²

leg = sqrt(45) = 6.708203932...

so, you see, as stated above, there is no leg with the length 6 in such a 30-60-90 triangle.

and in a more general right-angled triangle, if one leg = 6, then the other leg is actually longer.

therefore, there is everything wrong with the problem definition.

Answer:

Evaluate means to assess or determine something.

Step-by-step explanation:

Answer:

Means to simply solve, sometimes you may need to show your thinking, depending on the question.

Step-by-step explanation:

Option C. The function has points of inflection at x = 0 and x = 3/4.

To find the points of inflection, we need to find the second derivative of the function f(x), and then solve for x where the second derivative equals zero or does not exist.

\(f(x) = x^4 - x^3\)

\(f(x) = x^4 - x^3\)

\(f''(x) = 12x^2 - 6x\)

Setting the second derivative equal to zero and solving for x, we get:

\(12x^2 - 6x = 0\)

6x(2x - 1) = 0

So, the critical points of the second derivative are x = 0 and x = 1/2.

Now, we need to determine the nature of the points of inflection by examining the signs of the second derivative on either side of each critical point.

When x < 0, f''(x) > 0, so the graph is concave up.

When 0 < x < 1/2, f''(x) < 0, so the graph is concave down.

When x > 1/2, f''(x) > 0, so the graph is concave up.

Therefore, the function has a point of inflection at x = 1/2.

When x < 0, f''(x) > 0, so the graph is concave up.

When 0 < x < 3/4, f''(x) > 0, so the graph is concave up.

When x > 3/4, f''(x) < 0, so the graph is concave down.

Therefore, the function has points of inflection at x = 0 and x = 3/4.

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Answer:

n=6

Step-by-step explanation:

\(\frac{1}{2} n=3\)

Multiply both sides by 2

2*1/2n=3*2

Simplify;

n=6

Answer: n=6

Step-by-step explanation:

6*1/2=3 so this is y n=6.

Remember that

In any right triangle, opposite angles are complementary

that means

in this problem

x+55=90 degrees

x=90-55

Yes ,induction can be used to prove the following is true for every nonnegitive integer n.

If P (n) is true, so is P (n + 1) because this argument holds true for any nonnegative integer n, it establishes the second fact required by the induction proof. As a result of the Induction Principle, the predicate P (m) is true for all nonnegative integers, m.

Mathematical induction is a technique for proving the truth of a statement, theorem, or formula for each and every natural number n. This is generalized as the 'Principle of Mathematical Induction,' which we would use to prove any mathematical statement.

For instance, 13 +23 + 33 +..... +n3 = (n(n+1) / 2)

The statement is assumed to be true for all natural number values in this case.

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Step-by-step explanation:

the absolute value function always delivers the positive value of the internal expression, no matter if it is actually negative or already positive.

so,

|-25| = 25

therefore,

-7 + 25 = 18

Answer:

\(l\leq 46.75\)

Step-by-step explanation:

Put the closed endpoint at 46.75 with the arrow pointing left.

Answer:  \(\ell \le 46.75\)  (fourth choice)

Graph has a closed endpoint at 46.75 and the ray pointing to the left (i.e. shading is to the left).

Check out the diagram below.

==================================================

Explanation:

The phrasing "at most" means that's the highest ceiling possible. The longest the cape can be is 46.75 inches. So it could be this length or shorter.

If \(\ell\) is this length, then either \(\ell = 46.75\) or \(\ell < 46.75\)

We can combine those two statements into the final answer of \(\ell \le 46.75\)

The graph involves a closed point at this marker to include the endpoint (in contrast an open hole would leave the endpoint out). The shading is to the left to include every value smaller than 46.75

Realistically the smallest \(\ell\) can get is \(\ell = 0\), but we don't have to worry too much about this. This is because zero isn't anywhere near these shown values on the number line.

The greatest number of groups that can be formed is 7.

It should be noted that there are 56 dancers wearing green outfits and 42 dancers wearing yellow outfits.

The greatest number of groups that can be formed will the highest common factor between the numbers.

It should be noted that the highest common factor between 42 and 56 is 7.

Therefore, the greatest number of groups that can be formed is 7.

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Answer:

a - 2

Step-by-step explanation:

All you have to do is divide 3a by 3 and divide -6 by 3

∴ The answer is a - 2

Hope this helps!

Answer:

-5

Step-by-step explanation:

plz mark brainliest :)

Answer:

Step-by-step explanation:

Circumference is 2πr - 2r = 90cm

2r(π-1)=90

divide both sides by (π-1)

2r = 90/(π-1)

2r = 42.024...

r = 21.012399 cm

The probability of the Doubles" means both dice show the same number is 36.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The probabilities of these two outcomes must be added in order to get the likelihood of rolling an even number or doubles, but since we have already tallied those outcomes twice, the probability of rolling both doubles and an even number must be subtracted. The probability of rolling doubles and an even number is 1/36 since rolling two sixes is the only method to get a double and an even number.

The likelihood of rolling an even number or doubles is thus:

The formula for P(even number or doubles) is P(even number) = P(even number) + P(doubles) - P(even number and doubles) = 1/2 + 1/6 - 1/36 = 19/36.

The odds of rolling an even number or two doubles are 19/36.

Therefore, the probability of the Doubles" means both dice show the same number is 36.

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Answer:

41. 48 years and 3 months.

Step-by-step explanation:

41.

let's use the compound interest formula. The formula for compound interest is:

\(\bold{A = P * (1 + r)^n}\)

Where:

A is the final amount

P is the principal (initial investment)

r is the interest rate per period

n is the number of periods

we have,

P= $5000

A=$15000

r=2.3%

Now substituting value

\(15000=5000(1+\frac{2.3}{100})^n\\15000=5000(1.023)^n\\\frac{15000}{5000}=(1.023)^n\\3=(1.023)^n\)

doing logarithms of both sides of the equation.

We can use the natural logarithm (ln) to solve for n. The equation becomes:

\(ln(3) = ln(1.023)^n\)

Using the logarithmic property\(lna^b = b * ln(a),\) we can rewrite the equation as:

ln(3) = n * ln(1.023)

n=\(\frac{ln \:3}{ln\:1.023}\)

n=48.313 years approximately 48 years and 3 months.

Answer:

41. 49 years

42. 34 years and 12 days

Step-by-step explanation:

As the account increases by a constant percentage each year, we can use the exponential growth formula to write a function to model the situation.

\(\boxed{\begin{minipage}{8 cm}\underline{Exponential Growth Formula}\\\\$ f(t)=a\left(1+r\right)^{t}$\\\\where:\\\\ \phantom{ww}$\bullet$ $f(t)$ is the account balance. \\ \phantom{ww}$\bullet$ $a$ is the principal amount.\\ \phantom{ww}$\bullet$ $r$ is the interest rate (in decimal form). \\ \phantom{ww}$\bullet$ $t $ is the time (in years). \\ \end{minipage}}\)

Given values:

Substitute the given values into the formula, and solve for t:

\(\begin{aligned}f(t)&=a(1+r)^t\\\\\implies 15000&=5000(1+0.023)^t\\15000&=5000(1.023)^t\\3&=(1.023)^t\\\\\textsf{Take natural logs:} \quad \ln (3)&=\ln (1.023)^t\\\ln (3)&=t\ln (1.023)\\t&=\dfrac{\ln (3)}{\ln (1.023)}\\t&=48.3129760...\end{aligned}\)

The account balance will reach $15,000 during the 48th year. As the interest is applied annually, we need to round up to the nearest whole year. Therefore, the account balance will reach $15,000 after 49 years.

Note: At the end of 48 years, the account balance will be $14,893.63, and after 49 years it will be $15,236.18.

\(\hrulefill\)

As the baseball's value increases by a constant percentage each year, we can use the exponential growth formula to write a function to model the situation.

\(\boxed{\begin{minipage}{8 cm}\underline{Exponential Growth Formula}\\\\$ V(t)=a\left(1+r\right)^{t}$\\\\where:\\\\ \phantom{ww}$\bullet$ $V(t)$ is the value of the baseball card. \\ \phantom{ww}$\bullet$ $a$ is the initial value of the card in 1980.\\ \phantom{ww}$\bullet$ $r$ is the interest rate (in decimal form). \\ \phantom{ww}$\bullet$ $t $ is the time (in years). \\ \end{minipage}}\)

Given values:

Substitute the given values into the formula, and solve for t:

\(\begin{aligned}V(t)&=a(1+r)^t\\\\\implies 2000&=200(1+0.07)^t\\2000&=200(1.07)^t\\10&=(1.07)^t\\\\\textsf{Take natural logs:} \quad \ln (10)&=\ln (1.07)^t\\\ln (10)&=t\ln (1.07)\\t&=\dfrac{\ln (10)}{\ln (1.07)}\\t&=34.0323838...\end{aligned}\)

The value of the baseball card will reach $2,000 during the 34th year - after 34 years and 12 days. As this is not an investment account where interest is applied annually, we don't need to round up. Therefore, the baseball card will be worth $2,000 after 34 years and 12 days.

Answer:

86.53

Step-by-step explanation:

Area of Triangle Formula: A = 1/2bh

Pythagorean Theorem: a² + b² = c²

Step 1: Draw altitude and label numbers

If we draw a line down the middle, we can see that we get a perpendicular bisector and that we get 2 right triangles with a hypotenuse of 29 and a leg of 3. We need to find h using Pythagorean Theorem in order to use area formula:

3² + b² = 29²

b² = 29² - 3²

b = √832 = h

Step 2: Plug in known variables into area formula:

A = 1/2(√832)(6)

A = 3√832

A = 86.5332

Answer: (6,2)

Step-by-step explanation:

(7,5)     (x,2)      m=3     x=?

y=mx+b

y=3x+b   (1)

To find the coefficient b we take the coordinate that belongs to this line (7,5): x=7    y=5

5=3(7)+b

5=21+b

5-21=21+b-21

-16=b

Thus, b=-16

Hence, y=3x-16

To find the x we take the coordinate that belongs to this line (x,2): y=2

2=3x-16

2+16=3x-16+16

18=3x

Divide both parts of the equation by 3:

6=x

Thus, x=6

Given expression,

Option B is correct.

Option A is correct.

Option D is correct.

Option C is correct.

(5x2 + 2x + 1) + (6x2 − 3x + 9) is equivalent to expression

B

(-3x2 + 6x − 12) + (5x + 9) is equivalent to expression

A

(8x + 16) − (3x2 − 3x − 15) is equivalent to expression

D

(5x2 + 23x − 7) − (x2 − 4x + 21) is equivalent to expression

C

Got it right on Edmentum

The size of angle ACB to the nearest degree is 88 degree.

Construction Steps:

Create a line segment BC with the property AC = 4 cm.

Draw two arcs that meet at point A by using B as the centre and a radius of 4 cm, and C as the centre and a radius of 7 cm.

Join AB and AC now. Consequently, the necessary triangle is ABC.

With the use of a compass, draw a line segment AB = 7 cm from A, cutting an arc AC = 4 cm.

Cut an arc of 3 cm from point B.

Embrace BC and AC

Triangle with  angle ABC is necessary.

< ACB = 88 degree

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Answer:

0=12

No Solution

Step-by-step explanation:

Hope this helps (:

Look at the attachment