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Here we go ~

\(\qquad \sf  \dashrightarrow \: \sqrt{ \dfrac{7}{100} } \)

\(\qquad \sf  \dashrightarrow \: \dfrac{ \sqrt{7} }{ \sqrt{100} } \)

\(\qquad \sf  \dashrightarrow \: \dfrac{ \sqrt{7} }{ \sqrt{10 {}^{2} } } \)

\(\qquad \sf  \dashrightarrow \: \dfrac{ \sqrt{7} }{ 10 } \)

So, the correct choice is A

Answer:

The sixth term of the sequence = -234

Step-by-step explanation:

The formula of a geometric sequence is:

aₙ = a₁ + r⁽ⁿ⁻¹⁾

Where;

aₙ = the term value

n = the term that has to be found out

a₁ = first term in the sequence

r = common ration

Here in this situation:

aₙ = unknown

n = 6

a₁ = 9

r = -3

Therefore the solution would be:

a₆ = 9 + (-3)⁶⁻¹

a₆ = 9 + (-3)⁵

a₆ = 9 + (-243)

a₆ = -234

Therefore the sixth term of the sequence would be: -234

Hope this helps!

Answer:

9.42478 cm

Step-by-step explanation:

Circumference = 2*3.14*radius

Radius = Diameter divided by 2 or 3/2 = 1.5cm

A $2.00 base fare charge, and per-mile, and per-minute rates related as follows; 3•x + 7•y = 6.5 and 7•x + 14•y = 14, give the distance traveled in the third ride as 4.5 miles

The base fare = $2.00

Let x represent the per-mile rate, and let y represent the per-minute rate, we have;

The cost of Ryan's first taxi ride = $8.50

Distance traveled in the first ride = 3.0 miles

Time taken during the first ride = 7 minutes

Therefore;

2 + 3•x + 7•y = 8.5

Which gives;

3•x + 7•y = 8.5 - 2 = 6.5

Distance traveled in the second ride = 7.0 miles

Duration of the second ride = 14 minutes

The second ride cost = $16.00

Therefore;

2 + 7•x + 14•y = 16

Which gives;

7•x + 14•y = 16 - 2 = 14

Solving the above simultaneous equations by multiplying equation (1) by 2 then subtracting the result from equation (2) gives;

(7•x + 14•y) - 2 × (3•x + 7•y) = 14 - 2×6.5 = 1

x = 1

3•x + 7•y = 6.5

7•y = 6.5 - 3•x

7•y = 6.5 - 3×1 = 3.5

y = 3.5/7 = 1/2 = 0.5

Duration of the third taxi ride = 10 minutes

Cost of the third ride = $13.50

Therefore;

2 + 1×a + 10×y = $13.50

Where a is the distance traveled during the third ride, we have;

2 + 1×a + 10×0.5 = $13.50

2 + a + 5 = 13.5

a = 13.5 - 2 - 7 = 4.5

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If bx = by in the cross product or vector product, the unit-vector notation of the resulting vector would be (0, 0, 1) or simply k-hat.

In the cross product or vector product of two vectors, the resulting vector is perpendicular to both of the original vectors. The direction of the resulting vector is determined by the right-hand rule, where the thumb represents the direction of the cross product.

If bx = by, it means that the x-component of the first vector is equal to the y-component of the second vector. In this case, the resulting vector will have an x-component and y-component of zero.

Since the resulting vector must be perpendicular to both vectors, its z-component must be non-zero. Therefore, the unit-vector notation of the resulting vector would be (0, 0, 1), where the z-component (k-component) is 1.

If bx = by in the cross product, the resulting vector in unit-vector notation would be (0, 0, 1) or simply k-hat. This indicates that the resulting vector has zero components in the x and y directions and a non-zero component in the z direction.

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Answer:

c = \(\frac{1}{10}\)

f= 1500

Step-by-step explanation:

Tenemos la siguiente ecuación

\( C = f+cm\)

Tenemos los siguientes valores para m=15000, c = 3000 y para m = 20000, c=3500. Es decir, tenemos las siguientes ecuaciones

\( 3000=f+c15000, 3500=f+c20000\)

Si restamos la segunda ecuación de la primera, tenemos que

\( 3500-3000 = f-f+(20000c-15000c)\)

Luego

\( 500 = 5000c\)

Entonces \( c = \frac{500}{5000} = \frac{1}{10}\)

Si tomamos la primera ecuación, tenemos que \(3000-\frac{15000}{10} = f\). Es decir,

\( 3000-1500 = f = 1500\)

Esta solución, al plantear 2 ecuaciones y dos incógnitas, plantea un sistema dos por dos.

Answer:

$13,100

Step-by-step explanation:

Let x be the amount Bradford invested in the stock mutual fund.

The rest of the money, which is (25,000 - x), was invested in the bond mutual fund.

Bradford earned 9% on the money he invested in the stock mutual fund, which is 0.09x.

Bradford earned 6% on the money he invested in the bond mutual fund, which is 0.06(25,000 - x).

The total earnings were $1,893:

0.09x + 0.06(25,000 - x) = 1,893

Simplifying the equation:

0.09x + 1,500 - 0.06x = 1,893

0.03x = 393

x = 13,100

Therefore, Bradford invested $13,100 in the stock mutual fund.

The given table represents the additive property of the relation.

What about additive property?

In mathematics, the additive property refers to the property that allows the addition of two or more numbers to produce a sum or total. It states that the order in which the numbers are added does not affect the result.

The additive property can be expressed mathematically as follows:

⇒ a + b = b + a

For example, the additive property of integers states that if you add any two integers, the order in which you add them does not matter. So, 3 + 4 is the same as 4 + 3, and both equal 7.

The additive property can be extended to other mathematical operations as well, such as addition of vectors, matrices, and complex numbers. In all cases, the order in which the elements are added does not affect the final result.

According to the given information:

When we check in case of (X) we have that ,

5 + 10 = 15 , 10 + 15 = 25 , 15 + 25 = 40 that follow additive property

In the same way for (Y)

1 + 2 = 3, 2 + 3 = 5, 3 + 5 = 8 that also follow additive property of the given condition.

So, the both condition follow additive property .

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Answer:

I thought it was the last one but I mean if it was wrong sorry

Greetings from Brasil....

The rate of change between 2 points is obtained through the expression:

a) (0, 2) and (4, 10) so, X₁ = 0; X₂ = 4; Y₁ = 2 and Y₂ = 10

m = ΔY/ΔX

m = (Y₂ - Y₁)/(X₂ - X₁)

m = (10 - 2)/(4 - 0)

m = 8/4 = 2

b) (0,5) and (2,8) so, X₁ = 0; X₂ = 2; Y₁ = 5 and Y₂ = 8

m = ΔY/ΔX

m = (Y₂ - Y₁)/(X₂ - X₁)

m = (8 - 5)/(2 - 0)

m = 3/2

c) (0,0) and (3,-4) so, X₁ = 0; X₂ = 3; Y₁ = 0 and Y₂ = - 4

m = ΔY/ΔX

m = (Y₂ - Y₁)/(X₂ - X₁)

m = (- 4 - 0)/(3 - 0)

m = -4/3

d) (0,6) and (12,9)​ so, X₁ = 0; X₂ = 12; Y₁ = 6 and Y₂ = 9

m = ΔY/ΔX

m = (Y₂ - Y₁)/(X₂ - X₁)

m = (9 - 6)/(12 - 0)

m = 3/12 ⇔ m = 1/4

Among all the values above, the largest is 2, so points

(0; 2) and (4; 10)

• ,Plan A :

Initial fee = 48

Cost per mile = 0.09

Cost A = 48 + 0.09x

Where x is the number of miles driven.

• Plan B

Initial fee = 57

Cost per mile = 0.07

Cost B = 57 + 0.07x

If both costs are the same:

Cost A = Cost B

48+0.09x = 57+0.07x

Solve for x

0.09x - 0.07x = 57 - 48

0.02x = 9

x = 9 / 0.02x

x= 450

Number of miles = 450

Cost = 48+0.09 (450) = $88.5

Answer:

The entire class is done in 80 minutes

Step-by-step explanation:

20 % = 20/100 = 1/5

1/5  of the class in 16 minutes

Multiply each by 5

1/5 *5  of the class in 16*5 minutes

1 of the class in 80 minutes

The entire class is done in 80 minutes

Using monthly payment formula, the Smith Family's total monthly payment is approximately $2,360.99.

To calculate the total monthly payment for the Smith Family, we need to consider the mortgage payment, insurance, property tax, and HOA fees.

1. Mortgage Payment:

The loan amount is the house price minus the down payment:

$350,000 - $70,000 = $280,000.

To calculate the monthly mortgage payment, we need to determine the interest rate and loan term. Since you mentioned it's a 15-year loan, we'll assume an interest rate of 4% (which can vary depending on market conditions and the borrower's credit).

We can use a mortgage calculator formula to calculate the monthly payment:

M = P [i(1 + i)ⁿ] / [(1 + i)ⁿ⁻¹]

Where:

M = Monthly mortgage payment

P = Loan amount

i = Monthly interest rate

n = Number of months

The monthly interest rate is the annual interest rate divided by 12, and the loan term is 15 years, which is 180 months.

i = 4% / 12 = 0.00333 (monthly interest rate)

n = 180 (loan term in months)

Plugging in the values into the formula:

M = $280,000 [0.00333(1 + 0.00333)¹⁸⁰] / [(1 + 0.00333)¹⁸⁰⁻¹]

Using a calculator, the monthly mortgage payment comes out to be approximately $2,014.99.

2. Insurance:

The monthly insurance payment is given as $66.

3. Property Tax:

The monthly property tax payment is given as $230.

4. HOA Fees:

The HOA fees are stated as $600 per year. To convert this to a monthly payment, we divide by 12 (months in a year): $600 / 12 = $50 per month.

Now, let's add up all these expenses:

Mortgage payment: $2,014.99

Insurance: $66

Property tax: $230

HOA fees: $50

Total monthly payment = Mortgage payment + Insurance + Property tax + HOA fees

Total monthly payment = $2,014.99 + $66 + $230 + $50

Total monthly payment = $2,360.99

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Answer:

Step-by-step explanation:

14...................................

11 2/3 pages in 15 minutes

7/9 pages per min

Option B

15....................................

5 2/3 meters in 1/3 hours

Correct option is B

Answer:

14. B

15. B and D

Step-by-Step Explanation:

Question 14:

11 2/3 ÷ 15

35/3 * 1/15

35/45

7/9

Therefore, the answer is B.  

Question 15:

We need to divide to find the unit rate.  5 2/3 ÷ 1/3

17/3 * 3/1

51/3

17

Find the length if Farrah walks 1/5 of an hour.

1/5 * 17 = 3 4/5

Therefore, the answer is B and D.  

Best of Luck!

Answer:

x=1

y=1

Step-by-step explanation:

y=x^2-x+1        1. Write out the equation

y=y^2-y+1        2. Substitute the "x"s for "y"s

0=y^2-2y+1      3. Subtract "y" from both sides of the equation

0=(y-1)(y-1)        4. Factor into a binomial

y-1=0

y=1

x=1

Answer:

36 pages per hour.

Step-by-step explanation:

every third of an hour leo has read 12 pages meaning in one hour (12 times 3)

he will have read 36 pages.

The system of equations we have is

Now, to find the aumented matrix, we have to have all of the variables in each equation on one side, for this in the first equation we add 1 to both sides of the equation:

And for the second equation we need to add 8y to both sides and substract 2 from both sides (this is to have variables on the left and independent number on the right):

Now, the system is left as follows

We represent this a matrix with the following form:

The first line will represent the first equation

The second line will represent the second equation

And the first column will be the x values, and the second column the y values:

I will expand on the meaning of this in the following diagram:

That last one is the aumented matrix of the system.

Answer:

(- 3, 2 )

Step-by-step explanation:

to find the start, do the reverse, that is move 1 unit to the right.

this means adding 1 to the x- coordinate

start = (- 4, 2 ) → (- 4 + 1, 2 ) → (- 3, 2 )

To solve the problem, we need to first convert the given information into minutes. We know that Haley spends 90 minutes doing her homework, which is equivalent to 1 and 1/2 hours. We also know that 2/3 of an hour is equivalent to 40 minutes (since 1 hour is 60 minutes, and 2/3 of 60 is 40). Finally, eight minutes is already in minutes.

Therefore, the total time Haley spends on homework, reading, and making her lunch is:

We cannot determine how many more minutes Haley spends on reading since we don't have any information about it.

Answer:

42 minutes

Step-by-step explanation:

Haley spends = 90 minutes

for reasoning = 2/3 of an hour = 2/3 * 60 = 40 minutes

further time = 8 minutes

total time consumed = 40 + 8 = 48 minutes

time left to spend with reading and making her lunch = 90 - 48

= 42 minutes

Answer:

17,-15

Step-by-step explanation:

Answer:

Please Give Brainliest

Step-by-step explanation:

The relation of equipotence is an equivalence relation on the collection 2x of all subsets of set x. The equivalence class of a set, under this relation, represents the cardinality of the set, which is a measure of its size or the number of elements it contains.

The relation of equipotence is an **equivalence relation** on the collection 2x, which represents all subsets of set x. The equivalence class of a set, with respect to the relation of equipotence, is known as the **cardinality** of the set.

An equivalence relation is a relation on a set that satisfies three properties: reflexivity, symmetry, and transitivity. Let's explore how the relation of equipotence satisfies these properties.

1. Reflexivity: For any set A in 2x, A is equipotent to itself. In other words, any set is equivalent to itself in terms of its cardinality. This satisfies the reflexivity property of an equivalence relation.

2. Symmetry: If set A is equipotent to set B, then set B is equipotent to set A. The notion of equipotence does not depend on the order or arrangement of elements within sets. So, if A has the same cardinality as B, then B also has the same cardinality as A. This satisfies the symmetry property.

3. Transitivity: If set A is equipotent to set B, and set B is equipotent to set C, then set A is equipotent to set C. If two sets have the same cardinality and one of them has the same cardinality as a third set, then the first set is also equipotent to the third set. This satisfies the transitivity property.

As a result, the relation of equipotence on 2x fulfills all the requirements of an equivalence relation. Each equivalence class, or set of sets, formed by this relation represents the sets that share the same cardinality.

The cardinality of a set is essentially a measure of the "size" or "number of elements" in that set. It is represented by a non-negative integer. For example, if set A has three elements, its cardinality is 3. The equivalence class of set A, with respect to the relation of equipotence, would consist of all sets that have the same cardinality as A, that is, all sets with three elements.

In summary, the relation of equipotence is an equivalence relation on the collection 2x of all subsets of set x. The equivalence class of a set, under this relation, represents the cardinality of the set, which is a measure of its size or the number of elements it contains.

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70°F is equal to approximately 21.1°C. Fahrenheit and Celsius are units of measurement for temperature, with Fahrenheit being part of the imperial system and Celsius part of the metric system.

70°F is a temperature unit that is part of the imperial system of units. This unit of measurement is widely used in countries such as the United States. To convert Fahrenheit to Celsius, you can use the formula: (°F - 32) / 1.8 = °C.

In this case, 70°F is equal to approximately 21.1°C. Celsius, on the other hand, is part of the metric system of units and is widely used around the world, particularly in scientific and medical applications. When converting between units of measurement, it is important to be precise and accurate to ensure that you obtain accurate results.

In many cases, you can use conversion tools such as calculators or charts to convert between units of measurement. However, it is also important to understand the basic conversion formulas so that you can perform the calculations manually if necessary.

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Answer:

e, 22

Step-by-step explanation:

$50-$28=$22

e) 22

Answer:

\(\frac{400}{3} \pi\)

Step-by-step explanation:

Formula for Cone: π\(r^{2}\frac{h}{3}\)

Since we have all the components, we can find the volume of the cone.

R = 10

H = 4

π\(10^{2}\frac{4}{3}\)

10×10 = 100

100π\(}\frac{4}{3}\)

\(}\frac{4}{3}\)×100

4       100          400

---  ×   -----    =    ------

3          1              3

Answer: \(\frac{400}{3} \pi\)

Hope this helped.

Find the volume of a cone with radius 10 feet and height of 4 feet.

Given Data :

Radius = 10 feet

Height = 4 feet

Formulae :

\( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \star \: \blue{ \underline{ \overline{ \green{ \boxed{ \frak{{ \sf V}olume_{(Cone)} = \pi {r}^{2} \frac{h}{3}}}}}}}\)

Putting the values we get

\( \frak{ Volume_{(Cone)} = 3.14 × (10)² × \frac{4}{3} }\)

\( \frak{Volume_{(Cone)} = 3.14 × 100 × \frac{4}{3} }\)

\( \frak{Volume_{(Cone)} = 314 \times \frac{4}{3} }\)

\( \frak{Volume_{(Cone)} = 418.67 \: ft³ }\)

Henceforth, the volume is 418.67 ft³

Answer:

X<8

Step-by-step explanation:

-3 > X-11

= -3 +11 > X

= 8 >X

X<8

Some potential advantages that can be associated with a 100% capitalist structure:

- Employment Opportunities:

- Potential for Higher Income:

- Individual Freedom and Entrepreneurship:
- Incentives for Hard Work and Efficiency:

- Economic Mobility and Opportunity for Advancement:

We have,
In a 100% capitalist structure, the advantages offered to workers can vary depending on the specific circumstances and practices within the capitalist system.

However, there are some potential advantages that can be associated with such a structure:

- Employment Opportunities:

A capitalist system often provides a wide range of job opportunities as businesses compete and expand.

This can create more employment options for workers, increasing their chances of finding suitable employment.

- Potential for Higher Income:

In a capitalist system, workers have the potential to earn higher incomes based on factors such as their skills, productivity, and market demand for their services.

Increased competition can lead to higher wages and better compensation packages for workers.

- Individual Freedom and Entrepreneurship:

Capitalism promotes individual freedom, allowing workers to choose their occupations and pursue entrepreneurial ventures.

This can provide opportunities for personal growth, creativity, and innovation.

Incentives for Hard Work and Efficiency:

In a capitalist system, workers may have incentives to work harder and increase their productivity since their earnings and success can be tied to their performance.

This can create an environment that rewards hard work and efficiency.

Economic Mobility and Opportunity for Advancement:

Capitalism can provide opportunities for workers to improve their socioeconomic status through advancement within their careers or by starting their own businesses.

This mobility allows individuals to strive for upward social and economic mobility.

Thus,

It is important to note that the advantages and outcomes of a capitalist system can vary depending on factors such as government regulations, labor laws, social safety nets, and market conditions.

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Answer:

The third one

Step-by-step explanation:

It transitions into the negative x

Answer:

its an equation

Step-by-step explanation:

an expression is has variables

Answer:

If the customers will still buy it, why not?

If a storekeeper buys an item from a supplier for $10.00, and sells it for $20.00, the markup would be 200%.

* * * * *

Not true.

The value of the mark up in the above example is $10.00 which, given a cost of $10.00, is a 100% mark up. A 200% mark up of an item costing $10.00 would entail a "profit" of $20.00 giving a total price of $30.00

Step-by-step explanation: