Tina rode her bike a total of 12 miles from home to the post office and then to the gym. The distance from Tina's house to the post office is 5 miles. What is the distance from the post office to the gym?

Answer: $8.60

Step-by-step explanation:

Let the price of a bread = x

Let the price of a tarts = x - 1

If 3 times the price of a loaf of bread is $29.5 more than half of the price of a box of tarts. This can be represented as:

3 × x = 1/2 × (1 - x) + 29.5

3x = 0.5 - 0.5x + 29.5

3x + 0.5x = 29.5 + 0.5

3.5x = 30

x = 30/3.5

x = 8.6

Answer:

0 muffins and 8 cookies

6 muffins and 4 cookies

Explain:

These are the only two combinations of muffins and cookies that Jordan could have sold to earn $24. If Jordan sold 0 muffins and 8 cookies, they would have earned $24 because 0 x $3 + 8 x $2 = $24. If Jordan sold 6 muffins and 4 cookies, they would have earned $24 because 6 x $3 + 4 x $2 = $24.

Answer: he has 10 monthly

Step-by-step explanation:

see from the question

Answer:

586

Step-by-step explanation:

If you mean 624-48=586

Answer:

3 coins each row

Step-by-step explanation:

if you put 3 coins in 4 rows it we'll be equivalent to 12

Answer:    12    x    15= 180 cuadrados

juas juas juas 180  +   180  = 360


15 x 15 cm = 360

Step-by-step explanation:

Answer:

Its \(2,700cm^{2}\)

Ste,p-by-step explanation:

Answer:

(9,16)

Step-by-step explanation:

We Know

The equation y = 3x - 2

Find the y coordinate (9, ?)

We just simply put 9 in for x and solve for y

y = 3(9) - 2

y = 18 - 2

y = 16

So, the coordinate are (9,16)

Answer:

\(r=20.1\)

Step-by-step explanation

\(C=\pi d\)

Green car circumfrence = 126 feet

Plug in numbers

\(126=3.14d\)

Divide both sides by 3.14

\(\frac{126}{3.14} = 40.12...\)

Divide diameter by 2 to find radius

\(\frac{40.1}{2} = 20.05\)

round up to \(20.1\)

Answer:

Function f is translated to the right 2 units, and then up 1 unit to obtain function g.

To see this, note that g(x) = (x+1)³ - 2 = (x-(-1))³ - 2. Comparing this to f(x) = (x-2)³, we see that replacing x with x+3 in f(x) gives g(x) = (x+3-2)³ = (x+1)³, so this transformation moves the graph of f(x) three units to the left. Then, adding the constant -2 to f(x) translates the graph down 2 units. Finally, adding the constant 2 to the result of the previous step translates the graph up 2 units, so the graph of g(x) is obtained by first translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:

Function f is translated to the right 2 units.

Function f is translated up 1 unit.

Function f is translated to the right 2 units, and then up 1 unit to obtain function g.

To see this, note that g(x) = √x - 2 + 1 = f(x-2) + 1. This means that the graph of g(x) is obtained by translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:

Function f is translated to the right 2 units.

Function f is translated up 1 unit.

Step-by-step explanation:

Answer:

a. 5

b. 36

c. 1/3

d. 1/6

Step-by-step explanation:

a. The answer is five because 9 people bike and 4 people walk and 9-4 is equal to 5

b. The is answer is 36 because 12 people walked, 9 people biked, 4 people walked, 6 people used a motorcycle and 5 people used a cab and 12+9+4+6+5=36

c. The answer is 1/3 because 12 people walked to school and there are 36 people in the class so 12/36 people walked to school, which can be simplified to 1/3.

d. The answer is 1/6 because 6 people used a motorcycle to go school and there are 36 people in the class so 6/36 people used a motorcycle which is equal to 1/6

The perimeter of the rectangle is twenty and six-twentieth inches.

What is the perimeter of the rectangle?

A rectangle's perimeter (P) is the sum of the lengths of its four sides. A rectangle has two equal lengths and two equal widths since its opposite sides are equal. The following is the formula for calculating a rectangle's perimeter: The formula for perimeter is length + length + width + width. P = l + l + w + w.

Here, we have

Given: a rectangle with a length of Four and two-fifths inches and a width of Five and three-fourths inches.

Perimeter = 2 * (Length + Width) = 2 * (4 + 2/5 + 5 + 3/4)

To add the mixed numbers, we first convert them to improper fractions:

4 + 2/5 = 4 + 2/5 = 22/5

5 + 3/4 = 5 + 3/4 = 23/4

Now we can add the improper fractions:

22/5 + 23/4 = (22 * 4 + 23 * 5) / (5 * 4) = (88 + 115) / 20 = 203 / 20 = 10 3/20

Finally, we can substitute the sum back into the formula for perimeter:

Perimeter = 2 * (Length + Width) = 2 * (10 3/20) = 20 6/10 = 20.6 inches

Hence, the perimeter of the rectangle is twenty and six-twentieth inches.

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Answer:

\(g(t) = 0\)

Step-by-step explanation:

Given

\(d = 1000m\)

\(f(t) \to\) Tortoise

\(g(t) \to\) Hare

Required

Time needed by the Hare to complete the race

The function \(g(t)\) implies that the Hare is t seconds from completing the race.

When g(t) = 0, it means that the Hare has completed the race

So, to calculate the time needed by the Hare;

We simply equate g(t) to 0, then solve for t

A zero has the same meaning as the vertex.

The point where two lines meet forming an angle or set of angles is referred to as a vertex. This can also be called a point of origin especially when considering the axis of a Cartesian coordinate.

The vertex can be taken as zero since it is referred to as the point of origin. This is different to the axis of symmetry; as the axis of symmetry is one that splits a given plotted points i.e. a graph into two equal parts.

Thus, a zero has the same meaning as the vertex.

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Here is the table of the number of baseball cards for 0 to 4 packages and their corresponding ordered pairs:

Number of Packages, x | Number of Cards, y | Ordered Pair (x, y)

0 | 0 | (0, 0)

1 | 10 | (1, 10)

2 | 20 | (2, 20)

3 | 30 | (3, 30)

4 |40 | (4, 40)

To plot these points in the coordinate plane, we can use the horizontal axis for the number of packages (x) and the vertical axis for the number of cards (y), with each unit representing 1 package or 10 cards. Here is the plot:

|

50 |

45 |

40 ● (4, 40)

35 |

30 ● (3, 30)

25 |

20 ●(2, 20)

15 |

10 ● (1, 10)

5 |

0 ● (0, 0)

--------------

0 1 2 3 4

As we can see from the plot and the table, the relationship between the coordinates of the ordered pairs is linear, with the number of cards increasing by 10 for each additional package.

Specifically, the relationship can be described by the equation y = 10x, where y is the number of cards and x is the number of packages. This means that the slope of the line connecting any two points is always 10, and the y-intercept is 0.

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9514 1404 393

Answer:

  17n+9 feet

Step-by-step explanation:

The perimeter of a rectangle is twice the sum of length and width.

  P = 2(L +W)

  P = 2((4.5n +9) +(4n -4.5)) = 2(8.5n +4.5)

  P = 17n +9

The perimeter of the rectangle is 17n +9 feet.

The statement "sin(x) = -√3/2.8" is true, and the statement "cos(x) = 11/14" is true.

What is the Pythagorean theorem?

The Pythagorean theorem is a fundamental result in Euclidean geometry that describes the relationship between the three sides of a right-angled triangle.

In equation form, this can be written as:

c² = a² + b²

where c is the length of the hypotenuse, and a and b are the lengths of the other two sides (also known as the legs) of the right-angled triangle.

We do know that point A has coordinates (2.2, -√3) in the Cartesian plane. By using the Pythagorean theorem, we can find the distance between the origin and point A, which is equal to the radius of Circle C:

r = √((2.2)² + (-√3)²)

r= √(4.84 + 3)

r= √(7.84)

r= 2.8 (approx)

Now, we can use the coordinates of point A and the radius of Circle C to find the values of sin(x) and cos(x). Since the x-coordinate of point A is positive and the y-coordinate is negative, we know that x lies in the second quadrant. Therefore:

sin(x) = y/r = (-√3)/2.8

cos(x) = x/r = 2.2/2.8 = 11/14

So the statement "sin(x) = -√3/2.8" is true, and the statement "cos(x) = 11/14" is true.

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Answer:

3,380 combinations

Step-by-step explanation:

26*5*26= 3,380

Answer:

3380

Step-by-step explanation:

Since there are 26 letters, it would be

26*5*26

This is 3380

Answer:

one at a time holy cowwwwwwww

Step-by-step explanation:

The probability that less than 75% of the sample students have iPhones is approximately 0.2478.

What is probability?

This is a binomial probability problem, where each student either has an iPhone or does not have an iPhone, and the probability of success (having an iPhone) is 0.789.

Let X be the number of students in the sample who have an iPhone. We want to find P(X < 0.75 * 50) = P(X < 37.5)

Using the binomial probability formula, we have:

P(X < 37.5) = Σ P(X = k), for k = 0, 1, 2, ..., 37

However, this is a tedious calculation. Instead, we can use a normal approximation to the binomial distribution, since n * p = 50 * 0.789 = 39.45 > 10 and n * (1 - p) = 50 * 0.211 = 10.55 > 10.

Using the normal approximation, we can standardize the random variable X:

Z = (X - μ) / σ

where μ = n * p = 39.45 and σ = √(n * p * (1 - p)) = √(50 * 0.789 * 0.211) = 2.88.

Then, we have:

P(X < 37.5) = P(Z < (37.5 - 39.45) / 2.88) = P(Z < -0.68)

Using a standard normal table or calculator, we find that P(Z < -0.68) is approximately 0.2478.

Therefore, the probability that less than 75% of the sample students have iPhones is approximately 0.2478.

Binomial probability is a type of probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has only two possible outcomes: success or failure. It assumes that the probability of success in each trial is constant, and the trials are independent of each other. The binomial distribution is characterized by two parameters: the number of trials and the probability of success in each trial.

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Answer:

All positive real numbers i think

Answer:

B

Step-by-step explanation:

4^x can never be 0 or negative, the graph has a horizontal asymptote at y = 0

So the range only includes positive values

Answer

I think it's 10 cars

The binomial expansion is solved and the error in Dakota's statement is the incorrect substitution of 36g^2h^2 for the correct expression

Given data ,

Dakota made a mistake because the third term of the expansion of (2g + 3h) should have been 36g2h2. The binomial theorem asserts that the expansion of (2g + 3h) is as follows:

( x + y )ⁿ = ⁿCₐ ( x )ⁿ⁻ᵃ ( y )ᵃ

Here, x = 2g and y = 3h. Since term numbers begin at 0, since we are seeking for the third term, r = 2.

So , on simplifying the equation , we get

= nC2 * (2g)⁽ⁿ⁻²⁾ * (3h)²

= (n! / (2! * (n - 2)!)) * (2g)⁽ⁿ⁻²⁾ * (3h)²

= ((n * (n - 1)) / 2) * (2g)⁽ⁿ⁻²⁾ * (3h)²

Hence , the correct expression for the third term of the expansion of (2g + 3h) is ((n * (n - 1)) / 2) * (2g)^(n - 2) * (3h)², where n is the exponent in the binomial expansion.

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Answer:

The last one

Step-by-step explanation:

Answer:

D, Divide both sides by -4.6

Step-by-step explanation:

You want to get the x and the regular integers on separate sides of the equals sign, so you divide the -4.6 to get the x on its own side of the equals sign. That's the first step to solving the equation.

Answer:

The purple on cause they equal a 90 degree angle

Step-by-step explanation:

The similar triangle is given in the attached image below.

Those triangles that looks the same but different in sizes.

And in the similar triangle,

the corresponding sides in proportion to each other and corresponding angles are equal to each other.

Given:

The triangle have sides 3, 4 and 5.

And the angle measure,

37° and 53°.

To find the similar triangle:

The corresponding sides should be in proportion to each other.

And the corresponding angles should be congruent.

The similar triangle is given in the attached image.

Therefore, the similar figure is given in the attached image.

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Answer:

not really sure but maybe: 0=(x-3)(x+1)(x+7) and then simplify it?

Step-by-step explanation:

y=(x-3)(x+1)(x+7)

 =x^3+5x^2-17x-21

Answer:

f(x) = x³ + 5x² - 17x - 21

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

Roots x = -7, -1, 3

Step 2: Find function

The balance for each value of n is calculated by using the formula A = P(1 + r/n) ^nt. The rounded balance values are shown in the last column of the table above.

To complete the table and find the balance A if $3100 is invested at an annual percentage rate of 4% for 10 years and compounded n times a year.

The formula for calculating compound interest is as follows:

A = P(1 + r/n) ^nt,

where P represents the principal investment amount, r is the interest rate, n is the number of times the interest is compounded, t represents the time in years, and A represents the total amount, which includes the principal amount and the interest earned.

The table is given below:
\(\begin{array}{|c|c|c|} \hline \text{n} &

\text{A = P(1 + r/n) }^{nt} &

\text{Balance (rounded to nearest cent)} \\ \hline \text{1} &

\text{3100(1 + 0.04/1)}^{1*10} &

\text{\$4788.03} \\ \hline \text{2} &

\text{3100(1 + 0.04/2)}^{2*10} &

\text{\$4798.76} \\ \hline \text{4} &

\text{3100(1 + 0.04/4)}^{4*10} &

\text{\$4817.46} \\ \hline \text{12} &

\text{3100(1 + 0.04/12)}^{12*10} &

\text{\$4861.94} \\ \hline \end{array}\)

The balance is obtained by substituting the values of P, r, n, and t into the compound interest formula.

In this case, the investment is $3100, the annual interest rate is 4%, the investment is for 10 years, and n is the number of times the interest is compounded.

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You would need 3/4 cups of water.

if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

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Step-by-step explanation:

Know that

The derivative of position with respect of t is velocity.

Or if you want to say

\( \frac{d}{dt} (s(t) = v\)

Or in the form of the definition of the derivative

\(s'(t) = \frac{6 (t + h) {}^{3} + 2(t + h) + 9 - (6 {t}^{3} + 2t + 9) }{h} \)

\(s'(t) = \frac{6 {t}^{3} + 18t {}^{2}h + 18h {}^{2} t + 6 {h}^{3} + 2t + 2h + 9 - (6 {t}^{3} + 2t + 9)}{h} \)

\(s'(t) = \frac{18 {t}^{2}h + 18h {}^{2}t + 6h {}^{3} + 2h }{h} \)

\(s'(t) = 18 {t}^{2} + 18th + 6h {}^{2} + 2\)

Let h be a small number, so we can cancel out small things.

\(s'(t) = 18 {t}^{2} + 2\)

We know the derivative of position is velocity

\(v = 18 {t}^{2} + 2\)

So the velocity at time t is

\(v = 18 {t}^{2} + 2\)

Plug in 3 for t to find the velocity

\(v(3) =18(3) {}^{2} + 2\)

\(v(3) = 164\)

So the velocity at t=3, is 164.

Next, the derivative of velocity is acceleration so

\(v'(t) = \frac{18(t + h) {}^{2} + 2 - (18 {t}^{2} + 2)}{h} \)

\(v'(t) = \frac{18 {t}^{2} + 36ht + 18 {h}^{2} + 2(- 18 {t}^{2} + 2 ) }{h} \)

\(v'(t) = \frac{36ht + 18 {h}^{2} }{h} \)

Divide by h.

\(v'(t) = 36t + 18h\)

\(v'(t) = 36t\)

The derivative of velocity is acceleration so

\(a = 36t\)

The acceleration in time t is

\(36t\)

To find acceleration, plug in 3 for t.

\(a(3) = 36( 3) = 108\)