The pendulum of an antique clock has been damaged and needs to be
replaced. If the original pendulum completed one swing every 1.5 seconds,
how long should the new pendulum be? Use the formula:
T = 27.
1980
OA. 351 centimeters
B. 55.9 centimeters
OC. 234.8 centimeters
OD. 0.25 centimeters

Answer: have a good day :)

the distance between the two points is 13.

To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.

To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.

Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.

The formula to calculate the future value of a series of monthly deposits is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value of the investment,

P is the monthly deposit amount,

r is the monthly interest rate, and

n is the number of deposits.

In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.

By rearranging the formula, we can solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Plugging in the values, we get:

n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)

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Answer:

yes

Step-by-step explanation:

even though one is rotated it still has the same number on each  side

Answer:

The integers are 20 and 22

Step-by-step explanation:

Let the first even integer be x . Then the next consecutive even integer
= x  + 2
The relationship between these two integers is the difference of the squares = 84

This means
(x + 2)² - x² = 84

Use the relationship a² - b² = (a + b) (a -b)

Here a = x + 2 and b = x

So

a + b = (x + 2 ) + x = x + 2 + x = x + x + 2 = 2x + 2
a  - b = (x + 2) - x = x + 2 - x = x -x + 2 = 2

Therefore

(a + b)(a - b) in terms of x is
(2x + 2) x 2 = 4x + 4

We know this is 84

So 4x + 4 = 84

Subtract 4 on both sides:
4x = 84 -4

4x = 80

x = 20

So the next consecutive even integer = 22

The integers are 20 and 22

Step-by-step explanation:

70 to 85 % of his maximum

Maximum is estimated to be 220 - age  = 220 - 42 = 178

70% of this is 125

85 % is 89  151  

I believe I would go with the third choice  116-160 bpm

Solution:

We know that:

Simplify the distributive property.

Further simplify both sides.

Subtract 17/6 both sides.

Subtract x/4 both sides.

Use cross multiplication.

Divide -60 both sides.

Answer:

f(c)=4f, left parenthesis, c, right parenthesis, equals, 4 for at least one ccc between -2−2minus, 2 and 11

Step-by-step explanation:

hope this helps

There is a root in the given equation ex = 6 − 5x, in the interval (0, 1).

It is required to find the functions has f(0) and f(1).

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given:

Using Intermediate value Theorem we have

If F(x) is continuous and f(a) and f(b) have opposite signs then there will be at a point  (a ,b)  whereby F(c) = 0

The equation is

\(f(x) = e^{x} - 6 + 5x = 0\) on  interval [0, 1],

This shows that the F(x) is continuous on (0,1).

\(f(0) = e^{0} - 6 + 5*0 = -5\\ \\f(1) = e^{1} - 6 + 5*1 = e-1\)

e = 2.7182

since the functions has f(0) and f(1) have opposite signs then there is at a point whereby F(c) = 0 ( intermediate value theorem fulfilled )

Hence, there is a root in the given equation ex = 6 − 5x, in the interval (0, 1).

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Answer:

Step-by-step explanation:

Pythagorean theorem

           (x + 40)² = 60² + x²

x² + 80x + 1600 = 3600 + x²

                   80x = 2000

                      x = 25

Answer:

.49 if you're dividing them.

Step-by-step explanation:

Answer:

C. 101 3/4; $1017.50

Step-by-step explanation:

Correct on E2020!

Restating into scientific notation means, making a super big or a super small number, more understandable to read. For example,

5,972,000,000,000,000,000,000,000.0012 is a big number. I don't think you even tried to read that. There is a solution to this problem. This is the exact number but in scientific notation. 5.972 × 10^24. Isn't that easier to read?

Answer:

Area of the region outside the circle = 4.9 m²

Step-by-step explanation:

Area of the area outside the circle = Area of the rectangle - Area of the circle

Area of the rectangle = Length × Width

                                    = 3 × 2

                                    = 6 m²

Area of the circle = \(\pi r^{2}\)

Here, r = Radius of the circle

Radius of the circle = \(\frac{\text{Diameter}}{2}\)

                                = \(\frac{1.2}{2}\)

                                = 0.6 m

Area of the circle = π(0.6)²

                             = 0.36π

                             = 1.1304 m²

Area of the region outside the circle = 6 - 1.1304

                                                             = 4.8696

                                                             ≈ 4.9 m²

Answer:

Her estimate is greater than the actual height because both factors were rounded up.

Step-by-step explanation:

Given that:

Height per floor of doll house = 1.6m

Total number of floors in doll house = 2.5

Estimated height of doll house = 2 *3 = 6 meters

Actual height of doll house :

1.6m * 2.5 = 4 meters

Her estimate is greater than the actual height because both factors were rounded up.

Height per floor of 1.6m was rounded to 2m

Number of floors, 2.5 was rounded to 3

Hence, the cause of overestimation

Answer:

It's A for all da peeps dat dont feel like reading. ->-

Step-by-step explanation:

Answer:

y=4x=0

Step-by-step explanation:

0.75x=4.75x y = 4

0.75x=4.75x

Subtracting the initial amount of water from the amount used, the remaining amount of water is given by:

1.) 3.075 gallons.

To find the remaining amount of water in the barrel, we have to subtract the initial amount by the amount used.

We have that:

Hence the remaining amount is:

15 - 11.925 = 3.075 gallons.

Which means that option 1 is correct.

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Answer: 3.075 gallons

Step-by-step explanation:

Answer:

These two statements are equivalent because statement A is the contrapositive of statement B.

Step-by-step explanation:

In logic, when we have an "if" statement we can have its contrapositive or its converse.

Given a "if p, then q" (p is the hypothesis and q is the conclusion), the converse is "if q, then p", in other words, we interchange the hypothesis and the conclusion.

Now, given a "if p, then q", the contrapositive is "if not q, then not p". In other words, we take the negation of both the hypothesis and the conclusion and then we interchange them.

Now, let's take a look at our statements:

If a and b are two real numbers, and if ab = 0, then either a = 0 or b = 0.

In this case:

p = a and b are two real numbers and ab=0

q = either a = 0 or b = 0

Now, let's take the negative of p and q:

The negative of p would be: a and b are two real numbers and their product is not zero.

The negative of q would be: neither of the two real numbers is zero

Now, given than the contrapositive is "if not q, then not p" we would have:

If neither of two real numbers is zero, then their product is not zero.

We can see that this last sentence is the contrapositive of the first one and thus:

These two statements are equivalent because statement A is the contrapositive of statement B.

a) The distance from point P to the pole  is: 6.2 m

b) The height of the Pole is: 6.2 m

The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.

Now, we are given that:

The angle of elevation of the top of the pole =  45°

Angle of elevation of the top of the pole = 58°.

|PQ|= 10m

a) PR is distance from point P to the pole and using trigonometric ratios, gives us:

PR/sin 58 = 10/sin(180 - 58 - 45)

PR/sin 58 = 10/sin 77

PR = (10 * sin 58)/sin 77

PR = 8.7 m

b) P O can be calculated with trigonometric ratios as:

P O = PR * cos 45

P O = 8.7 * 0.7071

P O = 6.2 m

Now, the two sides of the isosceles triangle formed are equal and as such:

R O = P O

Thus, height of pole R O = 6.2 m

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Answer:

-8 feet

Step-by-step explanation:

They descended 20 feet so it is -20 and then goes back up 12 feet to make it -8 feet

Answer:

-8 feet

Step-by-step explanation:

She descends 20 feet, meaning -20 feet.

She climbs up 12 feet, meaning -20 + 12 = -8

I hope this helped, please mark Brainliest, thank you !!

Answer:mean

Step-by-step explanation:

I would assume it’s the mean since that averages the 7 test scores it represents the data set well. Outlier and mode don’t describe a data set since they are quite unique within it.

Answer:

d

Step-by-step explanation:

the answer is d because it's a closed circle

Cultural sensitivity is crucial in elder care. Cultural beliefs impact elderly care. A foreign-raised nursing student desires to care for her mother and sisters until her mother's passing.

Consider cultural values: Students from certain backgrounds may see caring for their elderly parents as a moral duty. Respecting elder beliefs is critical in discussing care options. Have open, non-judgmental communication with the nursing student. Show empathy and listen to her perspective.

Educate the nursing student about caring for a loved one with medical and psychiatric problems. Explain physical, emotional, and financial consequences, including effects on relationships and responsibilities.

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Answer:

Coordinates switch, and the new y-coordinate changes sign

Explanation:

We have point A with the coordinates (-1,2), when we rotate it c90º it becomes (2,1).

What happened? The coordinates switched and the x-coordinate of A (-1) became the y-coordinate of A' (1) and it changed its sign.

Answer:

A. The coordinates switch and the new x-coordinate changes sign

Step-by-step explanation:

Hope this helps! ✌️

Answer:

i) AUB={1,2,3,4,5,6}

ii) BUC={1,2,3,4,5,6,7}

iii)(AUB)UC={1,2,3,4,5,6,7}

iv) {1,2,3,4}

v) {4}

vi){1,2,3,4,5,6,7}

Step-by-step explanation

AUB means all the elements belongs to a and b

AnB means elements common to both sets

To get pay per gallon, we divide the total payment by the total amount of gallons.

So,

Total Cost = 26

Total Gallons = 24

Pay Per Gallon = 26/24 = $1.08 per gallon

Answer:

Step-by-step explanation:

6x5x7=210

the volume is 7m

The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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Answer:

12-4r

Step-by-step explanation:

4r<12 because r<3 so you flip it.

Answer:

$54.87

Step-by-step explanation:

The area of the triangular garden is (1/2) x base x height = (1/2) x 6 x 5 = 15 square feet.

The area of the rectangular mulch area is base x height = 12 x 9 = 108 square feet.

The total area to be covered with mulch is 108 - 15 = 93 square feet.

The cost of the mulch is $0.59 per square foot, so the total cost is 93 x $0.59 = $54.87.

Therefore, the total cost of the mulch will be $54.87.