Solve this question
(7w^7)k³

Answer:

Therefore, you need 2600 pounds of 35% supplement and 1300 - 2600 = -1300 pounds of 10% ration.

Step-by-step explanation:

The unknown variable is x, which is the amount of 35% supplement needed. The other expressions are derived from the given information and the fact that the total amount of solution is 1300 pounds.

The equation from the fourth column is:

0.35x + 0.10(1300 - x) = 0.25(1300)

Solving for x, we get:

x = (0.25(1300) - 0.10(1300)) / (0.35 - 0.10) x = 650 / 0.25 x = 2600

The correct answer is A: 600 <= money <= 2822.4.

This represents the range of possible values that Pankaj's accumulated money could fall into, given the specified conditions of the 3% interest rate compounded weekly for a maximum of 2 years. The lower bound, 600, represents the initial deposit amount, while the upper bound, 2822.4, represents the maximum amount of money Pankaj could earn after 2 years, assuming that interest is compounded every week.

The walkway should be about 2.57feet.

What is the total surface area?

The total surface area of the building is the  sum of the total faces of an object contains.

The formula is expressed as:

 TSA = 2(lw + wh + lh)

where,

l is the length ,w is the width , h is the height

Calculation

Given the following parameters

TSA = 168 square feet

length = 8 feet and  Height = 6 feet

Required

Width of the walkway, Substitute the given values in the formula

168 = 2(lw + wh + lh)

84 = (8(6) + 6w + 8w)

84 = 48 + 14w

4w = 84 - 48

14w = 36

w = 2.57feet

The walkway should be about 2.57feet.

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a) Using the given recurrence,

\(x_2 = \dfrac{{x_1}^3-1}4 = \dfrac{(-1)^3-1}4 = -\dfrac12 = -0.5\)

\(x_3 = \dfrac{{x_2}^3-1}4 = \dfrac{\left(-\frac12\right)^3-1}4 = -\dfrac9{32} = -0.28125\)

b) Proceeding as above, you'll find that successive values of \(x_n\), starting at n = 7, gravitate towards a solution of about -0.254102.

Answer:

The probabilities are:

1. 1/6

2. 1/2

3. 9/14

4. 0

5. 1

So ordering from least to most probable:

4. 7 on a 6 sided die

1. 4 on a 6 sided die

2. heads with a coin

3. red or green marble

5. <7 on a 6 sided die.

Step-by-step explanation:

1. The probability of rolling 4 on a 6-sided die is 1/6, as each side is equally probable.

2. The probability of flipping a coin onto heads is 1/2, as there are 2 equally probable outcomes.

3. The probability of drawing red or green out of 6 red, 5 blue, 3 green is 9/14 (9 positive outcomes out of 14).

4. The probability of rolling a 7 with a 6 sided die is 0, as there is no such number on the die.

5. The probability of rolling a number less than 7 on a 6 sided die is 100%, or 1, because any outcome is positive (we can only roll numbers smaller than 7).

The probabilities are:

1. 1/6

2. 1/2

3. 9/14

4. 0

5. 1

So ordering from least to most probable:

4. 7 on a 6 sided die

1. 4 on a 6 sided die

2. heads with a coin

3. red or green marble

5. <7 on a 6 sided die.

Answer:

Step-by-step explanation:

all creds to person above

Answer:

sqrt28, 32/7, cubrt58

Step-by-step explanation:

It says to order "greatest to least" so that means the biggest number goes first, then smaller next, and the smallest goes last.

sqrt25 is 5 and sqrt28 would be a little bigger, so 5.something. (you can find exactly on a calculator, but we don't need exact)

28/7 is 4 and 35/7 is 5. So 32/7 is in between, so like 4.something.

cuberoot27 is 3 and cuberoot64 is 4. So cuberoot58 is in between, it is 3.something.

So in order from big to small is

5...

4...

3...

which is

sqrt28,

32/7

cubrt58

The order from greatest to least will be the square root of twenty-eight, thirty-two over seven, and cube root of fifty-eight. Then the correct option is A.

It is the order of the numbers in which the biggest number comes first and then followed by the next number and then the last number will be the smallest one.

Order cube root of fifty-eight, thirty-two over seven, square root of twenty-eight from greatest to least.

∛58, 32/7, and √28

The expression is converted into decimal form, then we have

∛58, 32/7, and √28

3.87, 4.57, and 5.29

Then the order of the numbers from greatest to least will be

√28 > 32/7 > ∛58

The order from greatest to least will be the square root of twenty-eight, thirty-two over seven, and cube root of fifty-eight. Then the correct option is A.

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By taking a difference between mixed numbers, we can conclude that the distance left is 5/8 of a mile.

We know that the total length of the trail is 2½ miles, and Jorge hikes 1⁷/₈ miles before resting.

So the distance that he has left is equal to the difference between 2½ miles and 1⁷/₈ miles.

Remember that the mixed numbers can be rewritten as:

2½  = 2 + 1/2

1⁷/₈ = 1  + 7/8

So we need to find the difference:

(2 + 1/2) - (1 + 7/8) = ( 2  - 1) + (1/2 - 7/8)

= 1 + (4/8 - 7/8) = 1 - 3/8

Now we can simplify this so we get a single fraction:

1 - 3/8 = 8/8 - 3/8 = 5/8

From this, we can conclude that the distance left is 5/8 of a mile.

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It will be necessary to compare -10=-|-10|.

Mathematical number comparison is the process or method of comparing two numbers to determine whether one is less, bigger, or equal to the other. Comparison, often known as comparing, is the process of discovering the features of two or more items are similar, distinct, and to what extent by first identifying the pertinent, comparable properties of each. Step 1 is to compare the digit count. The number increases as the number of digits increases. Step 2: Compare the higher place values if the number of digits is the same. Step 3: Compare the digits in the next place value to the right if they are the same at the highest place value.

Here,

-|-10|=-10

-10=-|-10|

The required comparison will be -10=-|-10|.

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Answer:

The formula used for the average growth rate over time method is to divide the present value by the past value, multiply to the 1/N power and then subtract one. "N" in this formula represents the number of years.

Step-by-step explanation:

Answer:

answer is b

Step-by-step explanation:

I'm smart bro

Answer:

b

Step-by-step explanation:

The height over time of a football can be represented by a quadratic equation.

The graph of this type of equation is a parabola.

Since the graph has a maximum value (the maximum height occurs for t = 2.5 seconds), that means the parabola opens downwards and the value of "a" is negative:

The y-value of the vertex is the maximum height, the value of "a" is negative and the x-value of the vertex is 2.5, therefore the correct response is the third one.

The correct answer is:

a = 43%

b = 88%

To determine the values of a and b in the relative frequency table, we need to analyze the information provided in the Venn diagram and the given table.

From the Venn diagram, we can gather the following information:

The circle labeled "satellite" has a value of 55.

The circle labeled "cable" has a value of 75.

The overlap between the two circles is labeled as 12.

Using this information, we can complete the table:

First column - "Satellite":

Entries: Satellite, Not satellite, Total

Total: 55 (as given in the Venn diagram)

Second column - "Cable":

Entries: Blank, 51%, Blank

To find the value for the "Cable" entry, we need to subtract the overlap (12) from the total number of cable users (75).

Cable: 75 - 12 = 63

Therefore, the entry becomes: Blank, 51%, Blank

Third column - "Not Cable":

Entries: a, b, Blank

To find the value for "a," we subtract the overlap (12) from the total number of satellite users (55).

a: 55 - 12 = 43

To find the value for "b," we subtract the overlap (12) from the total number of households (100).

b: 100 - 12 = 88

Therefore, the entries become: 43, 88, Blank

Fourth column - "Total":

Entries: Blank, Blank, 100%

The total number of households is given as 100% (as stated in the question).

Therefore, the values of a and b in the relative frequency table are:

a = 43% (rounded to the nearest percent)

b = 88% (rounded to the nearest percent)

Hence, the correct answer is:

a = 43%

b = 88%

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The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).

To solve this problem, we can use the concepts of trigonometry and related rates.

Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.

Given:

The plane is flying with a constant speed of 360 km/h.

The plane passes over the radar station at an altitude of 1 km.

The plane is climbing at an angle of 30°.

We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.

We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:

sin(30°) = 1/D.

To find dD/dt, we can differentiate both sides of this equation with respect to time:

cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.

Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:

cos(30°) * 0 = -1/D^2 * dD/dt.

We can substitute the known values:

cos(30°) = √3/2,

D = 1 km.

Therefore, we have:

√3/2 * 0 = -1/(1^2) * dD/dt.

Simplifying further:

0 = -1 * dD/dt.

This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.

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Answer:

The nth term rule of the quadratic sequence is \(2n^{2} +5n-3\).

Step-by-step explanation:

We are given the following quadratic sequence below;

4, 15, 30, 49, 72, 99, 130,...

As we know that the formula for the nth term of the quadratic sequence is given by =  \(an^{2}+bn+c\)

Firstly, we will find the difference between the term of the given sequence;

1st difference of the given sequence;

(2nd term - 1st term), (3rd term - 2nd term), (4th term - 3rd term), (5th term - 4th term), (6th term - 5th term), (7th term - 6th term)

= (15 - 4), (30 - 15), (49 - 30), (72 - 49), (99 - 72), (130 - 99),....

= (11, 15, 19, 23, 27, 31,.....)

Now, we will find the second difference of the given sequence, i.e;

= (15 - 11), (19 - 15), (23 - 19), (27 - 23), (31 - 27),....

= (4, 4, 4, 4, 4)

Since the differences are same now, so to find the value of a we have to divide the value of second difference by 2, i.e;

The value of a  =  \(\dfrac{4}{2}\) = 2

SO, the first term of the nth term rule equation is \(an^{2}\) = \(2n^{2}\).

Now, in the term \(2n^{2}\), put the value of n = 1, 2, 3, 4 and 5 and then form the sequence, i.e;

If n = 1, then \(2n^{2}\) = \(2 \times (1)^{2}\) = 2

If n = 2, then \(2n^{2}\) = \(2 \times (2)^{2}\) = 8

If n = 3, then \(2n^{2}\) = \(2 \times (3)^{2}\) = 18

If n = 4, then \(2n^{2}\) = \(2 \times (4)^{2}\) = 32

If n = 5, then \(2n^{2}\) = \(2 \times (5)^{2}\) = 50

SO, the sequence formed is (2, 8, 18, 32, 50).

Now, find the difference of this sequence and the original quadratic sequence, i.e;

= (4 - 2), (15 - 8), (30 - 18), (49 - 32), (72 - 50)

= (2, 7, 12, 17, 22)

Now, as we can see that the above sequence resembles the general form of (5n - 3) because:

If we put n = 1, then (5n - 3) = 5 - 3 = 2

If we put n = 2, then (5n - 3) = 10 - 3 = 7 and so on....

From this, we concluded that the value of b and c are 5 and (-3) respectively.

Hence, the nth term rule for the given quadratic sequence is \(2n^{2} +5n-3\).

Answer:

y=2

Step-by-step explanation:

y = 26

If you substitute x for -3 in the equation y = 6x + 8, your equation becomes:

y = 6(-3) + 8 now you can simplify it and solve for y

6 x -3 = -18

18 + 8 = 26

y = 26

Answer:

B. feet/second

Step-by-step explanation:

The units for Ali's final answer will be feet per second.

By identifying the base quantities and units of measure for each physical quantity and tracking these dimensions as calculations or comparisons are made, the dimensional analysis examines the relationships between various physical quantities.

Given that Ali performed the following dimensional analysis to convert a rate of 72 mph.

The units will be calculated as below:-

72 miles/1 hour x 5280 feet/1 mile x 1 hour/60 minutes x 1 minute/60 seconds = 105.6

Miles and miles will cancel out now hour and hour will also be canceled out now the remaining unit will be feet per second.

Therefore, the unit for Ali's final answer will be feet per second.

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Answer:

added in the picture

Step-by-step explanation:

added in the picture

The complition of flow chart is congruent by angle angle side property.

Two triangles are considered to be congruent if the three sides and the three angles of both the angles are equal in any orientation.

The three sides are equal Since, Two angles are the same and a corresponding side are the same (ASA: angle, side, angle).

We are given that;

BD bisects angle ABC

The figure ABCD

Now, In first column;

Statement is BD bisects angle ABC

Reason given

In second row first box: the statement is angle ABD congruent to angle DBC

reason is A segment bisects and divides a segment into two congruent segments.

In the second row second box statement is angleADB congruent to angle BDC

reason is given

In the second row second box;

statement is side AB congruent to side BC

reason is given

Therefore, by two pairs of congruent angles and one pair of congruent sides that are not between the angles, it is proven the triangles congruent by AAS.

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Answer:

-4.745

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

The two unknown values of the triangle have to be the same.

Subtract 28 from 180 and you get 152

So each angle will be 76.

So now, 76 = -8 + 7x

Simplify and 84 = 7x

Now, x is equal to 12

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Given a discount of 20% and a manufacturer's coupon of $200, the price after the discount and coupon, (C ∘ D)(x), is 0.8x - 200.

A discount is an amount that reduces the price of a retail item.

Discounts are offered as rates and the discounted price is computed by multiplying the discount factor and the price.

Discount rate on offer = 20%

Discounting factor = 80% or 0.8 (100 - 20%)

Manufacturer's coupon off the price = $200

Let the price of the bureau = x

The price after the discount (discounted price) is given by D(x)

D(x) = 0.8x

The price after the coupon = C(x) = x - 200

The price after applying the discount and the coupon, (C ∘ D)(x) = 0.8x - 200

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Wilson's Warehouse sells a certain brand's bureau. They are offering a 20% discount in addition to accepting a manufacturer's coupon for $200 off. Let the price of the bureau be x. If the price after the discount is given by D(x) and the price after the coupon is C(x), find (C ∘ D)(x).

Answer:

For tree A: 24+10t

For tree B: 36+7t

They are at the same height at 4 years at a height of 64 inches

Step-by-step explanation:

To figure out when the trees are at the same height make the equations equal to each other and solve for T

24+10t=36+7t

Subtract 24 and 7t from both sides to get

3t=12

divide by 3 to get

t=4

This means at t=4 they are at equal height so we plug this into any of the equations

24+10*4

this is equal to 64

We can double check by plugging t=4 into the second equation

36+7*4

36+28=64

Answer:

B

Step-by-step explanation:

using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then

a₁ = 10

a₂ = 3a₁ = 3 × 10 = 30

a₃ = 3a₂ = 3 × 30 = 90

the first 3 terms are 10 , 30 , 90

Answer:

Step-by-step explanation:

[angle of sector]/360 x π x radius ² [formula to find area of a sector]

30/360 x π x 4²

Type into a calculator

4.18879

Answer:

Step-by-step explanation:

40 pounds of salami are purchased by a deli for its renowned grinder sandwiches. An illustration of an intermediate good is salami.

Given fill-in-the-blank;

A deli buys 40 pounds of salami for its famous grinder sandwiches. the salami is an example of___ goods.

The answer for this case is Intermediate.

A deli buys 40 pounds of salami for its famous grinder sandwiches. the salami is an example of Intermediate goods.

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The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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\(( {x}^{2} - 9)(x + 3) \\ (x + 3)(x - 3)(x + 3) \\ (x + 3)^{2} (x - 3)\)

Therefore the answer is A.

\(( {x}^{2} - {y}^{2} ) = (x + y)(x - y)\)

Here is the formula that is used for answering.