Mera drove 100 miles to visit her grandmother. If she drove at a speed of 50 miles per hour, how many hours did it take Mera to drive to her grandmother?

The average rate of change, in simplest form, is -2/5.

What is average rate ?

Divide the change in y-values by the change in x-values to determine the average rate of change. Identifying changes in quantifiable parameters like average speed or average velocity calls for the knowledge of the average rate of change.

The rate of change of the function is its gradient or slope.

The formula for calculating the gradient of a function is expressed as:

\(m=\frac{d y}{d x}=\frac{y_2-y_1}{x_2-x_1}$$\)

Using the coordinate points from the table (0,41) and (15,35)

Substitute the coordinate into the expression:

\($$\begin{aligned}& m=\frac{35-41}{15-0} \\& m=\frac{-6}{15} \\& m=\frac{-2}{5}\end{aligned}$$\)

To learn more about average rate visit:https://brainly.com/question/3605446

#SPJ1

Answer: yrs

Step-by-step explanation: yes

Answer:

No, they aren't equal

Step-by-step explanation:

5x & 5+x

let's say x=1

5(1)=5

but 5+(1)=6

Therefore they aren't equal

As per the given Ratio difference between the amount of money spent and the amount of money saved in a week is $2.

A ratio is an ordered pair of numbers a and b, denoted by the symbol a / b, where b does not equal zero. A proportion is an equation that sets two ratios equal to each other.

The ratio formula can be used to represent a ratio as a fraction. For any two quantities, say a and b, the ratio formula is a:b = a/b. Because a and b are separate amounts for two portions, the total quantity is given as (a + b).

et 5x be the money he spends and 4x be the amount he saves

therefore, 5x+4x= 18

9x= 18

x= 18/9= 2

Tom spends, 5×2 = $10

and he saves, 4×2= $8

Difference, = $10-$8= $2

Therefore, as per the given ratio in the question difference between the amount of money spent and the amount of money saved in a week is $2.

To know more about ratios visit:

https://brainly.com/question/13419413

#SPJ4

Tom receives $18 from his father in a week. The ratio of the amount of

the money he spends to the amount of money he saves in a week is 5:4

What is the difference between the amount of money spent and

amount of money saved in a week?

Answer:

it answer b i think

Step-by-step explanation:

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

Answer:

y = 2/3x - 2

Step-by-step explanation:

I'm pretty sure this is asking about the slope intercept form, since you didn't give us the actual answers. If not, comment below. Slope intercept form follows the y = mx + b form, where m is the slope and b is the y-intercept. By plugging your givens in, you get y = 2/3x - 2

Answer:

7 17/99

Step-by-step explanation:

The five types of inequality in mathematics are greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), and not equal to (≠). These are used to compare two values and determine if one is greater than, less than, equal to, or not equal to the other.

Greater than (>) - This type of inequality is used to compare two values and determine which one is greater than the other. For example, if we say x > y, this means that x is greater than y.

Less than (<) - This type of inequality is the opposite of the greater than inequality. If we say x < y, then this means that x is less than y.

Greater than or equal to (≥) - This type of inequality is used to compare two values and determine if one is greater than or equal to the other. This means that the two values are either equal to each other or one is greater than the other. For example, if we say x ≥ y, then this means that either x is equal to y, or x is greater than y.

Less than or equal to (≤) - This type of inequality is the opposite of the greater than or equal to inequality. If we say x ≤ y, then this means that either x is equal to y, or x is less than y.

Not equal to (≠) - This type of inequality is used to compare two values and determine if they are not equal to each other. For example, if we say x ≠ y, then this means that x is not equal to y.

Learn more about inequality visit:

https://brainly.com/question/24372553

#SPJ4

One pound is defined as a unit of mass/weight equal to 0.45359237 kilograms.

so, 1 pound is approximately 0.45kg

DOLLARS             CENTS             DOLLARS                         CENTS

Answer:

Step-by-step explanation:

Answer:

y=1x-8

Step-by-step explanation:

the y intercept is the b in y=mx+b

If two variables are correlated, a change in one must directly produce a change in the other. (False)

Correlation is a statistical measure that indicates the extent to which two or more variables fluctuate together. It is a value between -1 and 1 that represents the strength of the relationship between two variables.

False. If two variables are correlated, a change in one may or may not directly produce a change in the other. Correlation means that there is a relationship between two variables, but it does not necessarily mean that one causes the other. It's possible for two variables to be correlated without any causal relationship between them.

To learn more about Correlation, Visit

brainly.com/question/28175782

#SPJ4

True, The range of a linear transformation defined by the matrix transformation t(x) = Ax is equal to the column space of matrix A.


The range of a linear transformation defined by the matrix transformation t(x) = ax is equal to the column space of matrix A (col A).

The range of a linear transformation is the set of all possible output values. In this case, the matrix A represents the transformation, and the column space of matrix A represents the span of the columns of A. The column space of matrix A is the set of all possible linear combinations of the columns of A.

To prove that the range of the linear transformation t(x) = Ax is equal to the column space of matrix A, we can show that every vector in the column space of A can be obtained as an output of the transformation t(x) = Ax. Additionally, we can show that every output of the transformation t(x) = Ax belongs to the column space of A.


Therefore, it is true that the range of a linear transformation defined by the matrix transformation t(x) = Ax is equal to the column space of matrix A.

To know more about linear transformation visit:

https://brainly.com/question/31142199

#SPJ11

The solution to the given initial-value problem is  x(t) = c1(e-ωt - eωt) = 2c1 sin ωt

The given initial-value problem is a second-order differential equation: d2x dt2 + ω2x = f0 sin ωt, x(0) = 0, x '(0) = 0

First, we can solve the homogeneous equation d2x dt2 + ω2x = 0 using the method of characteristic equation. The characteristic equation is r2 + ω2 = 0, which has two solutions r1 = -ω, r2 = ω.

The general solution to the homogeneous equation can be expressed as:

x(t) = c1e-ωt + c2eωt

Next, we can solve the non-homogeneous equation d2x dt2 + ω2x = f0 sin ωt. Since the right-hand side of the non-homogeneous equation has a sinusoidal form, we can use the method of variation of parameters to solve it.

The particular solution can be expressed as:

x(t) = A sin ωt + B cos ωt

By substituting the initial conditions, we can get:

A = 0, B = 0

Therefore, the solution to the given initial-value problem is:

x(t) = c1e-ωt + c2eωt

The constant c1 and c2 can be determined by the initial conditions:

x(0) = c1 + c2 = 0

x'(0) = -ωc1 + ωc2 = 0

Therefore, c1 = -c2 and c1 + c2 = 0.

Hence, the solution to the given initial-value problem is:

x(t) = c1(e-ωt - eωt) = 2c1 sin ωt

Learn more about initial-value problem here:

https://brainly.com/question/8736446

#SPJ4

Step-by-step explanation:

The velocity of the particle at a given value of θ can be found by taking the derivative of the position vector with respect to time:

v(θ) = dr/dt = dr/dθ * dθ/dt = dr/dθ * ω

where ω is the angular velocity and dr/dθ is the derivative of the position vector with respect to θ.

The position vector r = a * e^(b * θ) * i + a * b * e^(b * θ) * j

Taking the derivative with respect to θ:

dr/dθ = a * b * e^(b * θ) * i + a * b^2 * e^(b * θ) * j

So the velocity of the particle is given by:

v(θ) = a * b * e^(b * θ) * ω * i + a * b^2 * e^(b * θ) * ω * j

Answer:

Step-by-step explanation:

v(θ) = a * b * e^(b * θ) * ω * i + a * b^2 * e^(b * θ) * ω * jj

Answer:

3

Step-by-step explanation:

Answer:

x² + 34x + 104 = 0

x² + 34x = -104

x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²

x² + 34x + 17² = -104 + 17²

x² + 34x + 289 = 185

(x + 17)² = 185

x + 17 = +√185

x = -17 + √185

The absolute increase in population from 2007 to 2011 is calculated by subtracting the initial population from the final population. Therefore:

Absolute increase = Final population - Initial population
Absolute increase = 5500 - 3450
Absolute increase = 2050 people

the calculation is that the difference between the final and initial population represents the net change in the population over the given time period.

The relative increase, expressed as a percentage, can be calculated by dividing the absolute increase by the initial population and multiplying by 100. Therefore:

Relative increase = (Absolute increase / Initial population) x 100
Relative increase = (2050 / 3450) x 100
Relative increase = 59.42%

The population of the town increased by 2050 people between 2007 and 2011, representing a relative increase of 59.42%.

To learn more about percentage visit:

https://brainly.com/question/28998211

#SPJ11

Answer:

Step-by-step explanation:

1 is correct and 2 is correct

The interest paid if you purchase this car is $4,860.

A monthly payment is a payment made every month to pay off loans or advances. It's similar to EMI.

The interest rate used can be found using the formula: Interest rate = (monthly payment x number of payments) / principal.

Interest rate = (450 x 36) / 10000 = 16.2%

The interest rate used is 16.2%

The interest paid can be calculated using the formula: Interest = Principal x Interest rate x Number of payments / 12

Interest = 10000 x 0.162 x 36/12

Apply the multiplication operation, and we get

Interest = 4,860

Thus, the interest paid if you buy this car is $4,860

Learn more about the monthly payments here:

https://brainly.com/question/20761642

#SPJ1

The linear equation relating the number of feet of paper remaining on the roll (p) and the number of minutes the printing press has been operating (m) is p = 6000 - (500/3)m.

The equation accounts for the fact that every three minutes, 500 feet of paper is used from the 6,000-foot roll.

The term (500/3)m represents the amount of paper used in m minutes. Since 500 feet of paper is used every three minutes, we divide by 3 to get the amount of paper used in one minute. Multiplying this by m gives us the total amount of paper used in m minutes.

Subtracting this amount from the initial length of the roll (6,000 feet) gives us the remaining length of paper (p).

For example, if the printing press has been operating for 10 minutes, we can substitute m = 10 into the equation:

p = 6000 - (500/3) * 10

p = 6000 - (5000/3)

p ≈ 4500 feet.

This means that after 10 minutes of operation, approximately 4,500 feet of paper remain on the roll.

LEARN MORE ABOUT linear equation here: brainly.com/question/29739212

#SPJ11

a) The new production rate is 1008 items per week.

b) The new unit cost is $63.

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

a) The new production rate can be calculated by increasing the old production rate of 900 items per week by 12%.

New production rate = 900 items/week + 12% of 900 items/week

New production rate = 900 items/week + (12/100) x 900 items/week

New production rate = 900 items/week + 108 items/week

New production rate = 1008 items/week

So, the new production rate is 1008 items per week.

b) The new unit cost can be calculated by reducing the old unit cost of $75 by 16%.

New unit cost = $75 - 16% of $75

New unit cost = $75 - (16/100) x $75

New unit cost = $75 - $12

New unit cost = $63

So, the new unit cost is $63.

To learn more about the rate click here :

https://brainly.com/question/12786410

#SPJ1

The question seems incomplete, the missing part has been below:

A factory produces 900 items per week at a unit cost of $75 new equipment is installed that increases productivity by 12% and reduces the unit cost by 16%.

a) What is the new production rate?

b) What is the new unit cost?

Answer:

A B and C

Step-by-step explanation:

it's a simple question

Joaquin would have 9, 612 different locker combinations if he could repeat a number, but not use the same number twice in a row.

What is the combination?

In simple words, combination involves the selection of objects or things out of a larger group where order doesn't matter. The formula for combination helps to find the number of possible combinations that can be obtained by taking a subset of items from a larger set.

If none of the numbers can be repeated, Joaquin can choose from a total of 22 numbers (0 through 21), and he needs to select three of them for his locker combination. This is a classic example of a combination problem, as the order in which he chooses the numbers does not matter. The number of ways to choose three numbers from a set of 22 without repetition is given by the formula for combinations:

C(22,3) = 22! / (3!(22-3)!) = 222120/(321) = 2310

So, Joaquin can choose from 2310 different locker combinations if none of the numbers can be repeated.

The name "combination lock" is appropriate because it refers to the process of combining numbers in a specific order to open the lock. In this case, the order of the numbers selected does not matter.

If Joaquin could repeat a number, but not use the same number twice in a row, the number of mathematical combinations are possible is given by the formula for permutations:

A(22,3) = 222120 = 9, 612

Hence, Joaquin would have 9, 612 different locker combinations if he could repeat a number, but not use the same number twice in a row.

To learn more about the combination visit,

brainly.com/question/11732255

#SPJ4