Can someone please help me with math

The formula for the slope of a tangent line is the derivative of the function at a given point. It is represented by the symbol dy/dx or f'(x).

The slope of a tangent line is a measure of the steepness of the line at a given point on a function. The formula for the slope of a tangent line is the derivative of the function evaluated at a given point.

It is represented by the symbol dy/dx or f'(x) where x is the point at which the slope is being evaluated. The derivative of a function gives the instantaneous rate of change of the function at a given point, which is the slope of the tangent line at that point.

The slope of a tangent line is a useful concept in many fields, such as physics and engineering, where it is used to study the behavior of systems that change over time. It also help to identify the maxima and minima of a function and also the increasing and decreasing behavior of a function.

To know more about slope click on the link below:

https://brainly.com/question/3605446#

#SPJ11

use sin

sin(50) = x/6

sin(50) x 6 = x

x = ~4.5963

Answer: $21.25

Step-by-step explanation:

Given

Lynnette purchased 2.5 Pounds of blent, which costs $8.50 per pound

total cost is the Product of the amount of blend and rate of coffee blend

\(\Rightarrow C=2.5\times 8.50=\$21.25\)

So, coffee beans cost $21.25

From the loan affordability analysis, Amy could afford Loan A but not Loan B.

What is loan affordability analysis?

Loan affordability analysis is the process of evaluating an individual's ability to repay a loan based on income, expenses, credit history, and other financial factors. It helps lenders determine whether a borrower is likely to be able to make loan payments on time and in full.

To determine which loan Amy can afford, we need to know how much money she will have available after paying her regular monthly expenses.

Since Amy's car will be paid off, she will have an additional amount of money equal to her car payment each month. Let's say her car payment was $200 per month. That means she will now have an extra $200 to allocate toward her other expenses.

If Amy's total monthly expenses, including her gas, were previously $1000 per month, and she still plans to spend $60 per month on gas, her new total monthly expenses will be:

$1000 - $200 (car payment) + $60 (gas) = $860

So, Amy will now have $200 extra per month to put towards loan payments.

To determine which loan she can afford, we need to know the monthly payments for each loan she is considering. Let's say she is considering two loans:

Loan A: $10,000 at 5% interest for 3 years with a monthly payment of $300

Loan B: $15,000 at 7% interest for 5 years with a monthly payment of $300

With an extra $200 per month, Amy could afford the monthly payment for Loan A, which is $300 per month. She would still have $200 left over each month to put towards other expenses or savings.

However, she would not be able to afford the monthly payment for Loan B, which is also $300 per month. In fact, the monthly payment for Loan B is higher than her total monthly expenses before she paid off her car, so she would not be able to afford it even without the car payment.

Therefore, Amy could afford Loan A but not Loan B.

To know more about loan affordability analysis visit:

brainly.com/question/29433035

#SPJ1

Answer:

Step-by-step explanation:

Answer:

y=-1.4

Step-by-step explanation:

-3y+5.8=20

-3y=4.2

y=-1.4

Answer:

n= -32

Step-by-step explanation:

For the given matrix A, the dimension of Nul A is 1, the dimension of Col A is 2, and the dimension of Row A is also 2.

The null space of a matrix consists of all vectors that, when multiplied by the matrix, result in the zero vector. To determine the dimension of the null space (Nul A), we perform row reduction or find the number of free variables. In this case, the matrix A has one row of zeros, indicating that there is one free variable. Therefore, the dimension of Nul A is 1.

The column space of a matrix is the span of its column vectors. To determine the dimension of the column space (Col A), we find the number of linearly independent columns. In this case, the matrix A has two linearly independent columns (the first and second columns are non-zero and not scalar multiples of each other), so the dimension of Col A is 2.

The row space of a matrix is the span of its row vectors. To determine the dimension of the row space (Row A), we find the number of linearly independent rows. In this case, the matrix A has two linearly independent rows (the first and third rows are non-zero and not scalar multiples of each other), so the dimension of Row A is 2.

Learn more about column space here:

https://brainly.com/question/31035324

#SPJ11

Answer:

24 bouquet

Step-by-step explanation:

300 divide by 12.50

If 1/6 of the boys joined the basketball team, there are 160 boys in the soccer team.

If 1/6 of the boys joined the basketball team, then 5/6 of the boys did not join the basketball team. Similarly, if 2/9 of the boys joined the soccer team, then 7/9 of the boys did not join the soccer team.

Let's first find out how many boys did not join the soccer team:

7/9 x 540 = 380

Therefore, 380 boys did not join the soccer team.

To find out how many boys did join the soccer team, we can subtract the boys who did not join from the total number of boys:

540 - 380 = 160

To learn more about fraction click on,

https://brainly.com/question/14932165

#SPJ1

The shape of the distribution is normal

The probability is 0.7764

What is Standard Deviation?

The standard deviation is a measure of the spread or dispersion of a set of data around its mean. It is calculated by finding the square root of the variance, which is the average of the squared differences between each data point and the mean. It is used to quantify the degree of variability or diversity in the data.

(a)

The distribution of heights of young men follows a normal distribution with a mean of 69.3 inches and a standard deviation of 2.8 inches. The distribution of heights of young women also follows a normal distribution with a mean of 64.5 inches and a standard deviation of 2.5 inches.

The difference between the height of a randomly selected young man (m) and a randomly selected young woman (w) follows a normal distribution with a mean of 69.3 - 64.5 = 4.8 inches (the difference in the means) and a standard deviation of √(2.8² + 2.5²) = 3.67 inches (the square root of the sum of the variances).

The shape of the distribution of the difference between the heights of a randomly selected young man and a randomly selected young woman is also normal, since the original distributions are normal. The centre of the distribution is 4.8 inches, and the spread is 3.67 inches.

(b)

We need to find the probability that a randomly selected young man is at least 2 inches taller than a randomly selected young woman, or in other words, we need to find P(m - w > 2).

Using the formula for the difference of two normal distributions, we have:

z = (2 - 4.8) / 3.67 = -0.76

We need to find the probability that a standard normal variable Z is greater than -0.76. Using a standard normal table or calculator, we find that P(Z > -0.76) = 0.7764.

Therefore, the probability that a randomly selected young man is at least 2 inches taller than a randomly selected young woman is approximately 0.7764.

To learn more about Standard Deviation from the given link

https://brainly.com/question/475676

#SPJ1

Answer:

7

Step-by-step explanation:

Answer:

the answer is 7 i got it right

Step-by-step explanation:

The equation of the line perpendicular to the tangent to the curve y=x^3-4x+1 at the point (2,1) is y = (-1/8)x + 9/8.

To find the equation of the line perpendicular to the tangent to the curve at (2,1), we need to first find the slope of the tangent line at that point.

The derivative of y=x^3-4x+1 is y'=3x^2-4, so the slope of the tangent line at (2,1) is y'(2) = 3(2)^2-4 = 8.

Since we want the line perpendicular to the tangent, we know that its slope will be the negative reciprocal of the tangent's slope. Therefore, the slope of the line we're looking for is -1/8.

Next, we use the point-slope form of the equation of a line to write the equation of the line with the slope we found and passing through the point (2,1):

y - 1 = (-1/8)(x - 2)

Simplifying and putting the equation in slope-intercept form:

y = (-1/8)x + 9/8

Therefore, the equation of the line perpendicular to the tangent to the curve y=x^3-4x+1 at the point (2,1) is y = (-1/8)x + 9/8.

Learn more about perpendicular here:

https://brainly.com/question/11707949

#SPJ11

Absolute maximum: (0,4) Since it is the highest point in the interval.

Absolute minimum: (-3,-5) Since it is the lowest point in the interval.

Answer:

The unit price is .45

Step-by-step explanation:

You divide the price by the item

- 8.10÷18=.45

Answer:

science is the answer

Step-by-step explanation:

becuse

Answer:

She answered fastest in social studies.

Step-by-step explanation:

Hope that helps

Answer:

a₁ = 16

Step-by-step explanation:

The sum to infinity of a geometric series is

S ∞ = \(\frac{a_{1} }{1-r}\)

where a₁ is the first term and r the common ratio , then

\(\frac{a_{1} }{1-0.2}\) = 20

\(\frac{a_{1} }{0.8}\) = 20 ( multiply both sides by 0.8 to clear the fraction )

a₁ = 0.8 × 20 = 16

Answer:

reject is to deny an offer or something else

Matrix B is obtained from matrix A by three row-swaps, and matrix C is obtained from A by dividing a row of A by 3. Suppose det A=5.then  det B= -5, det C= 5/3 is a true statement

What is a matrix simple definition?

matrix, a set of numbers arranged in rows and columns so as to form a rectangular array. The numbers are called the elements, or entries, of the matrix. Matrices have wide applications in engineering, physics, economics, and statistics as well as in various branches of mathematics.

learn more about of matrix here

https://brainly.com/question/28180105

#SPJ4

Answer:

(0, 15)

Step-by-step explanation:

y=3x+15

y=mx+b where m=slope and b=y-intercept.

Answer:

Step-by-step explanation:

We know that:

Let's compare the formula and the equation given.

Work:

When we compared, we can say that the slope is 3 and the y-intercept is 15.

Hoped this helped.

\(BrainiacUser1357\)

Answer

0.4283

Step-by-step explanation:

Multiply

0.4283

by

1

.

Answer:

Step-by-step explanation:

The loop will run an infinite number of times

The mean of the reading scores is 11.67, and the standard deviation is 2.97. The mean of a set of numbers is found by adding up all the values and dividing by the total number of values.

In this case, the sum of the reading scores is 140, and since there are 12 students, the mean is 140/12 = 11.67.

The standard deviation measures the variability or spread of the data from the mean. To find the standard deviation, we need to calculate the deviations of each score from the mean, square them, find their sum, divide by the total number of scores, and then take the square root of that value. The deviations from the mean for this set of scores are: -4.67, -4.67, 2.33, 1.33, -0.67, 2.33, -1.67, -0.67, -2.67, 1.33, 3.33, and 3.33. Squaring these deviations, we get: 21.69, 21.69, 5.43, 1.78, 0.45, 5.43, 2.78, 0.45, 7.12, 1.78, 11.09, and 11.09. Summing up these squared deviations gives us 89.79. Dividing by the total number of scores (12), we get 89.79/12 = 7.48. Finally, taking the square root of this value gives us the standard deviation of 2.97.

To learn more about standard deviation refer:

https://brainly.com/question/24298037

#SPJ11

Answer:

40 pens for $7.50 is a better deal because it is about 19 cents per pen while 6 for $1.30 is 22 cents per pen

Step-by-step explanation:

1.30/6=0.22 rounded

7.50/40=0.19 rounded

The main answer to the question is: 5.


To solve this equation, we start with thinking of a number, let's call it x.
According to the given formula, we then double this number, which gives us 2x.
Next, we subtract 2 from this number, which gives us the expression 2x - 2.
Finally, we are told that this expression is equal to 9, so we can set up an equation:
2x - 2 = 9
To solve for x, we can add 2 to both sides:
2x = 11
And then divide both sides by 2:
x = 5.5
However, we were asked for an integer solution, so we round down to the nearest integer, which gives us the main answer of 5.

Summary:
If you think of a number, double it, subtract 2, and your answer is 9, then the main answer is 5. The formula to solve this equation involves thinking of a number as x, doubling it to get 2x, subtracting 2 to get 2x - 2, and then setting this expression equal to 9. By solving for x, we find that the answer is 5.

Learn more about equation click here:

https://brainly.com/question/2972832

#SPJ11

Answer:

220 meter

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Area of square = 275 square meters

Side length (a) = 55 meters

We can calculate the perimeter of square by using following formula,

Perimeter of square = 4a

By putting the value, we get

Perimeter of square = 4 × 55 mt

= 220 meter

Hence, the perimeter of the square is 220 meter.

The pair of figures having same volume are:

a. The cylinder has a radius of 3 units and a height of 8 units ; The cone has a radius of 6 units and a height of 6 units.

b. The cone has a radius of 8 units and a height of 9 units ; The cylinder has a radius of 4 units and a height of 12 units.

c. The rectangular prism length is labeled 16 units, width of 6 units, and height of 6 units ; The rectangular prism length is labeled 8 units, width of 8 units, height of 9 units.

What is volume of a figure?

Volume is a unit of measurement for three-dimensional space. It is usually stated quantitatively in terms of a number of imperial or US-standard units as well as SI-derived units.

i. The cone has a radius of 4 units and a height of 12 units.

⇒ Volume = π\(r^{2} \frac{h}{3}\)

⇒ Volume = π\(4^{2} \frac{12}{3}\)

⇒ Volume = 64 π

⇒ Volume = 201 cubic units

ii. The rectangular prism has a length of 18 units, a width of 6 units, a height of 6 units.

⇒ Volume = length * width * height

⇒ Volume = 18 * 6 * 6

⇒ Volume = 648 cubic units

iii. The rectangular prism length is labeled 16 units, width of 6 units, and height of 6 units.

⇒ Volume = length * width * height

⇒ Volume = 16 * 6 * 6

⇒ Volume = 576 cubic units

iv. The cylinder has a radius of 3 units and a height of 8 units.

⇒ Volume = π\(r^{2}\)h

⇒ Volume = π\(3^{2}\) * 8

⇒ Volume = 72 π

⇒ Volume = 226 cubic units

v. The cone has a radius of 8 units and a height of 9 units.

⇒ Volume = π\(r^{2} \frac{h}{3}\)

⇒ Volume = π\(8^{2} \frac{9}{3}\)

⇒ Volume = 192 π

⇒ Volume = 603 cubic units

vi. The rectangular prism length is labeled 8 units, width of 8 units, height of 9 units.

⇒ Volume = length * width * height

⇒ Volume = 8 * 8 * 9

⇒ Volume = 576 cubic units

vii. The cylinder has a radius of 4 units and a height of 12 units.

⇒ Volume = π\(r^{2}\)h

⇒ Volume = π\(4^{2}\) * 12

⇒ Volume = 192 π

⇒ Volume = 603 cubic units

viii. The cone has a radius of 6 units and a height of 6 units.

⇒ Volume = π\(r^{2} \frac{h}{3}\)

⇒ Volume = π\(6^{2} \frac{6}{3}\)

⇒ Volume = 72 π

⇒ Volume = 226 cubic units

Hence, three pairs have the same volume.

Learn more about volume from the given link

https://brainly.com/question/463363

#SPJ1

The missing figures have been attached below.

Answer:

30 + 27(w)=189

Step-by-step explanation: w=7 btw (if u need it)

Brainliest?

The required expression that models represent the total cost, in dollars, to hire the dog walker for w walks is t = 27w + 30.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
A dog walker charges a $ 30 sign-up fee to cover insurance costs and $ 27 per walk.
Let the total cost be t for the w walks.
So, the expression is given as,
t = 27w + 30

Where 27w represents the cost of w walks.

Thus, the required expression that models represent the total cost, in dollars, to hire the dog walker for w walks is t = 27w + 30.

Learn more about models here:
https://brainly.com/question/22591166
#SPJ2

The expression that represents the total cost for Lucas to attend the lessons if each bus ride costs X dollars is:13n + Xn = (13+X)n

Cost is the most significant factor to determine success when you are operating a business. You need to understand different cost factors and how it affects profitability. We define costs as the value of money required to produce a product or deliver goods. In this section, we have explained different cost definitions.

If each lesson costs $13 and Lucas attends "n" lessons, then the total cost for the lessons will be 13n dollars.

Now, let's consider the cost of the bus rides. Lucas takes the bus to each lesson, so he takes "n" bus rides in total. If each bus ride costs X dollars, then the total cost of the bus rides will be Xn dollars.

Finally, Lucas walks home after each lesson, so there is no cost associated with walking.

Therefore, the expression that represents the total cost for Lucas to attend the lessons if each bus ride costs X dollars is:

13n + Xn = (13+X)n

So If each lesson costs $13 and Lucas attends "n" lessons, then the total cost for the lessons will be 13n dollars.

Now, let's consider the cost of the bus rides. Lucas takes the bus to each lesson, so he takes "n" bus rides in total. If each bus ride costs X dollars, then the total cost of the bus rides will be Xn dollars.

Finally, Lucas walks home after each lesson, so there is no cost associated with walking.

Therefore, the expression that represents the total cost for Lucas to attend the lessons if each bus ride costs X dollars is:

13n + Xn = (13+X)n

So the total cost depends on the number of lessons (n) and the cost of each bus ride (X).

Learn more about cost factors here

https://brainly.com/question/14258882

#SPJ1

Answer:

time = 70 minutes