A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Use equation, find the maximum height reached by the rocket, to the nearest 10th of a foot . Y=-16x^2+261x+130

Answer:

7 muffins in the small box

Step-by-step explanation:

Total: 88 muffins

Each box: 9 muffins

88/9= 9 boxes

9x9=81

88-81=7

Answer:

7

Step-by-step explanation:

Answer:

Step-by-step explanation:

It would be 1 dollar and 3 dimes, 5 quarters and 1 nickel, since 1.25 + .05=1.3

13 dimes. and finally 26 nickels

Answer:

1 dollar and 3 times

5 quarters and 1 nickel

13 times

and 26 nickels

Step-by-step explanation:

they all equal $1:30

The monthly rate for the given loan is 1.0118%.The annual rate for this loan is 12.1423%.

Given loan: $150,000

Payment per month: $1,770

Duration of loan: 10 years

Interest = ?

The formula for monthly payment is given by:

\(PV = pmt x (1 - (1 + r)^-n) / r\)

Where, PV is the present value, pmt is the payment per period, r is the interest rate per period and n is the total number of periods.Solving the above formula for r will give us the monthly rate for the loan.

r = 1.0118%The monthly rate for the given loan is 1.0118%.The annual rate can be calculated using the following formula:

Annual rate = \((1 + Monthly rate)^12 - 1\)

Annual rate = 12.1423%

The annual rate for this loan is 12.1423%.The effective annual rate can be calculated using the following formula:

Effective annual rate =\((1 + r/n)^n - 1\)

Where, r is the annual interest rate and n is the number of times interest is compounded per year.If interest is compounded monthly, then n = 12

Effective annual rate = (1 + 1.0118%/12)^12 - 1

Effective annual rate = 12.6801%

The effective annual rate for this loan is 12.6801%.

Total amount paid after 10 years = Monthly payment x Number of payments

Total amount paid after 10 years = $1,770 x 120

Total amount paid after 10 years = $212,400

The total amount paid after 10 years is $212,400.

The future value for this loan can be calculated using the following formula:

FV = PV x (1 + r)^n

Where, PV is the present value, r is the interest rate per period and n is the total number of periods.If the loan is paid off in 10 years, then n = 120 (12 payments per year x 10 years)

FV = $150,000 x (1 + 1.0118%)^120

FV = $259,554.50

The future value for this loan is $259,554.50.

Thus, the monthly rate for the loan is 1.0118%, the annual rate for this loan is 12.1423%, the effective annual rate for this loan is 12.6801%, the total amount paid after 10 years is $212,400 and the future value for this loan is $259,554.50.

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Answer:

-1/9^2 is the power notation for your questions

Step-by-step explanations

Step-by-step explanation:

Refer to pic............

Answer:

2nd option: It does not represent a function because a vertical line will cross the graph at more than one point.

Step-by-step explanation:

Even function needs to be able to pass the vertical line test in order to be considered a function. There shouldn't be multiple y-values paired with a single x-value.

Answer:

It’s c

Step-by-step explanation:

I just did it in edg

Answer:

B. The first equation in B is the sum of the equations in A, while the other is obtained

by multiplying the first equation in A by 2.

Step-by-step explanation:

If we add the first two equations that shown in A so

6x + 8y + 2x - 5y = -10 + 12

8x + 3y = 2

Now the first equation in A would be multiplied by 2

So

2(6x + 8y = -10)

12x + 16u = -20

Therefore the correct option is B.

The number of strings where exactly two of the ones are next to each other, while the third one is not next to the other two, is (n-1) x (n-2).

In combinatorics, one of the fundamental concepts is counting the number of strings or sequences of symbols that satisfy certain conditions.

Let us first consider the case where the two ones that are next to each other are at the beginning of the string. In this case, we can place the third one in any of the remaining positions, which are n-2, where n is the total length of the string. Therefore, the number of such strings is (n-2).

Similarly, if the two ones are at the end of the string, we can place the third one in any of the n-2 remaining positions, and the number of such strings is again (n-2).

Now let us consider the case where the two ones are in the middle of the string. In this case, we can place the two adjacent ones in (n-2) ways, and the third one can be placed in any of the remaining n-3 positions, since it cannot be adjacent to the other two ones. Therefore, the number of such strings is (n-2) x (n-3).

To get the total number of strings that satisfy the given condition, we need to add up the number of strings in each of the three cases:

Total number of strings = (n-2) + (n-2) + (n-2) x (n-3)

Simplifying this expression, we get:

Total number of strings = (n-1) x (n-2)

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Therefore, the total income produced by the continuous income stream in the first 2 years is approximately $6631.

To find the total income produced by a continuous income stream in the first 2 years, we need to calculate the definite integral of the income function over the time interval [0, 2].

The income function is given by f(t) = 300e^(0.05t).

To calculate the definite integral, we integrate the function with respect to t and evaluate it at the limits of integration:

∫[0, 2] 300e^(0.05t) dt

Integrating the function, we have:

= [300/0.05 * e^(0.05t)] evaluated from 0 to 2

= [6000e^(0.052) - 6000e^(0.050)]

Simplifying further:

= [6000e^(0.1) - 6000]

Evaluating e^(0.1) ≈ 1.10517 and rounding to the nearest dollar:

= 6000 * 1.10517 - 6000 ≈ $6631

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Answer:

The answer is A.

Step-by-step explanation:

A polyhedron is a three-dimensional solid made up of polygons. It has flat faces, straight edges, and vertices. For example, a cube, prism, or pyramid are polyhedrons.

Answer:

-20

Step-by-step explanation:

5x3=15

15-35= - 20

Or 35-15 and make it minus

=-20

Answer:

-20

Step-by-step explanation:

= (5×3)-35

= 15-35

= -20

Answer:

far off

i looked it up

can i get branliest

You can compute the slope of a line by using the slope formula. This is given by:

slope,m=(change in y-axis)/(change in x-axis)

           =(Δ y-axis)/(Δ x-axis)

Given the points (x1,y1) and (x,y) from a linear graph, then:

slope m will be:

          m=(y-y1)/(x-x1)

You can compute the slope of a line by using the slope formula.

Answer:

No, each folder costs 50 cents.

Step-by-step explanation:

0.50*100= 50

3⁴ = 3² (9)

3²

By subtracting the exponents due to the similar bases.

The number equivalent is 9.

Answer:

x = 19 degrees

y = 84 degrees

Step-by-step explanation:

recall that for an isosceles triangle (which is pictured), the base angles have the same value.

In our case, we can see that the base angles are 48 deg and (3x-9) deg

if they are equal, we can equate them like this:

48 = 3x-9    (add 9 to each side)

48 + 9 = 3x

57 = 3x   (divide both sides by 3)

x = 57/3

x = 19 degrees  (answer)

also recall that the sum of the interior angles of a triangle add up to 180 deg, hence

48 deg + 48 deg + y deg = 180 deg

2(48) + y = 180

96 + y = 180

y = 180 - 96

y = 84 deg

Answer:

25

Step-by-step explanation:

17+4=21

21+4=25

Answer:

25 is the 5th term

Step-by-step explanation:

The pattern in to add 4 every time

9 + 4 = 13

13 + 4 = 17

17 + 4 = 21

21 + 4 = 25

Answer:

C

Step-by-step explanation:

Te unoccupied volume (V) of the cube is calculated as

V = volume of cube - volume of sphere

   = 7³ - \(\frac{4}{3}\) πr³ ( r is the radius and r = 7 ÷ 2 = 3.5 )

   = 343 - \(\frac{4}{3}\) π × 3,5³

   = 343 - \(\frac{4}{3}\) π × 42.875

   = 343 - 179.59438

   = 163.4....

    ≈ 160 cm³ ( to the nearest 10 cm³ )

Step-by-step explanation:

150=45

150 -25=x

:150=45

125=x

cross multiply

150x/150=5625/150

x=38 days

To determine what students want served in the cafeteria, the cook asks students in Ms. Andrew’s first period class. The sample used by the cook is known as Convenience.

The sample used is known as convenience sample. The cook only asks students in Ms. Andrews’ first period class which is a convenient and accessible group to ask but this method of sampling may not be representative of the entire student population as it only includes students in one class.

So, the results may not accurately reflect what all students want to be served in the cafeteria, hence, more representative sample could be obtained by using a simple random sample or systematic sample where  student in the population has an equal chance of being selected.

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In 7 years, the population of the town will reach 24600.

Formula for population growth can be expressed as;

N = N₀ × e^(rt)

Where N is the future population, N₀ is the initial population, t is time and r is rate of growth.

Given the data in the question;

First, convert the rate from percent to decimal.

Growth rate r = 3%

Growth rate r = 3/100

Growth rate r = 0.03

Now, plug the given values into the above  population growth formula and solve for t.

N = N₀ × e^(rt)

t = ln( N/N₀ ) / r

t = ln( 24600 / 15000  ) / 0.03

t = 17 years.

Therefore, the time required is 7 years.

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Answer:

13

Step-by-step explanation:

Answer:

138

Step-by-step explanation:

Answer:

138

Step-by-step explanation:

Area of a triangle = ½×base×height

Base=12

Height=23

Area=½×12×23

=1×6×23

=138cm²

12 can be divided exactly by 2 that's why we have 6.

Answer:

216 people

Step-by-step explanation:

Given:

2.5 feet² is occupied by 1 person

Dimension of room = 216 in × 360 in

Required:

No. of people that would occupy the room

SOLUTION:

Step 1:

Convert the dimensions of the room from in to ft

Note: 1 foot = 12 inches

216 inches = \( \frac{216}{12} = 18 ft \)

360 inches = \( \frac{360}{12} = 30 ft \)

Step 2: calculate area of the room.

Area of the room = 30*18 = 540 ft²

Step 3: calculate the no. of people the room will contain.

2.5 ft² will contain one person

Therefore, 540 ft² will contain: \( \frac{540}{2.5} = 216 people \)

The limit of \((ex + x)^(^6^/^x^)\) as x approaches infinity is 1. As x becomes infinitely large, the exponential term dominates, resulting in the limit approaching 1.

To evaluate this limit, we can rewrite the expression as \((ex)^(^6^/^x^) * (1 + x/ex)^(^6^/^x^)\). As x approaches infinity, the first term \((ex)^(^6^/^x^)\)approaches 1 because the exponent tends to 0.

Now, let's focus on the second term \((1 + x/ex)^(^6^/^x^)\). As x approaches infinity, the x/ex term approaches 1, and we have \((1 + 1)^(^6^/^x^)\).

Taking the limit of this expression as x goes to infinity, we have \((2)^(^6^/^x^)\). Again, as x approaches infinity, the exponent tends to 0, resulting in (2)⁰, which is equal to 1.

Thus, the overall limit is given by the product of the limits of the two terms, which is 1 * 1 = 1.

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Step-by-step explanation:

radius = 17 m

diameter = 34 m

circumference= 1814.92

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Given

Mike took a taxi from home to Airport. The taxi driver charged $6 as initial fees and $3 per mile and the total fare is $24.

Required

we need to find total number of miles he covered on this ride.

Explanation

Let total number of miles he travelled be x

Then total fare =6+3x

i.e

So total number of miles covered is 6 miles.

Answer:

102 beads will be used for each necklace.

Step-by-step explanation:

3,264/32=102

Here is an explanation to understand step by step how to do this.

A volume can be determined for any three-dimensional object using formulas that are unique to that item's shape. For instance, the volume of a water bottle indicates how much water it can hold. Understanding an object's volume is crucial since it indicates how much stuff that shape can carry.

Any form or object's volume is directly inversely proportional to the volume of water it displaces when submerged in water because of its link to density. As a result, there are two ways to determine an object's volume: by mathematically calculating it using the formula unique to that shape, or by submerging it in water and measuring the volumetric displacement of the water.

Answer:

below

Step-by-step explanation:

three cards angles are greater than 100°

total cards = 8

probability = 3/8