1.6t = 6.4
Show work

The equation of a line through the origin and a point (x1, y1) is y = (y1/x1)x. The line's equation is y = (-5/-8)x = -8x in this instance because x1 = -8 and y1 = -5.

The equation of a line through the origin and a point (x1, y1) can be found by using the formula y = (y1/x1)x. In this case, the given point is (-8, -5) which means x1 = -8 and y1 = -5. Substituting these values into the formula, we get y = (-5/-8)x = -8x. Therefore, the equation of the line through the origin and (-8, -5) is y = -8x.

The equation of a line through the origin and a point (x1, y1) is y = (y1/x1)x. The line's equation is y = (-5/-8)x = -8x in this instance because x1 = -8 and y1 = -5.

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

The question asks us to determine the surface area of a square-shaped patio that Pedro is covering with ceramic tiles. We are given that the width of the patio is 9 meters.

To find the surface area of a square, we need to multiply the width of one side by itself. In this case, since the patio is square-shaped, the width of one side is also the length of the other side.

So, the surface area of the square patio can be calculated by multiplying the width (9 meters) by itself:

9 meters * 9 meters = 81 square meters.

Therefore, the surface area of the patio that will be covered with ceramic tiles is 81 square meters.

The surface area of the patio that will be covered with ceramic tiles is 81 square meters.

To find the surface area of the square-shaped patio, we multiply the width (9 meters) by itself, since the patio is square-shaped and all sides have the same length. This calculation gives us a surface area of 81 square meters. It is important to note that the unit of measurement for the surface area is square meters, which represents the area covered by the ceramic tiles. The concept of surface area is used to determine the amount of material needed to cover a given space. In this case, Pedro will need 81 square meters of ceramic tiles to cover the entire patio.

The surface area of the patio that Pedro will cover with ceramic tiles measures 81 square meters.

To know more about  surface area visit:

brainly.com/question/29298005

#SPJ11

To have a valid 98% confidence interval based on a sample of size n, it is necessary to assume that the population has an approximately normal distribution (option A).

The margin of error in a confidence interval is influenced by the sample size and the confidence level. The margin of error is inversely proportional to the square root of the sample size. This means that increasing the sample size (option A) will result in a smaller margin of error, as the square root of a larger number is larger than that of a smaller number.

On the other hand, the margin of error is directly proportional to the critical value, which is determined by the confidence level. The higher the confidence level, the larger the critical value and consequently, the larger the margin of error. Thus, decreasing the confidence level (option D) will result in a larger margin of error.

Therefore, the options that will result in a larger margin of error are B and D: decreasing the sample size while keeping the same confidence level, and decreasing the confidence level while keeping the same sample size.

It's important to note that the validity of a confidence interval relies on certain assumptions. In this case, to have a valid 98% confidence interval based on a sample of size n, it is necessary to assume that the population has an approximately normal distribution (option A). This assumption is required for the central limit theorem to hold, which allows the sampling distribution of the sample mean to approximate a normal distribution. Options B, C, and D do not accurately describe the assumptions necessary for the validity of the confidence interval.

Learn more about  confidence interval here:

https://brainly.com/question/13067956

#SPJ11

Answer:

Drusilla

Step-by-step explanation:

the answer is Drusilla

The difference quotient for the given function is 9 -2/h.

The difference quotient for the given function can be calculated as:

[f(x+h) - f(x)]/h

= [(3(x+h)² - 2(x+h) + 5) - (3x² - 2x + 5)]/h

= (3x² + 6xh + 3h² - 2x - 2h + 5 - 3x² + 2x - 5)/h

= (6xh + 3h² - 2h)/h

= (6x + 3h -2)/h

Simplifying the expression further, we get:

(6x + 3h -2)/h = 6 + 3h/h -2/h

= 6 + 3 -2/h

= 9-2/h

Therefore, the difference quotient for the given function is 9 -2/h.

Learn more about the quadratic function here:

https://brainly.com/question/29775037.

#SPJ4

"Your question is incomplete, probably the complete question/missing part is:"

Find the difference quotient [f(x+h)-f(x)]/h, where h≠0, for the function below.

f(x)=3x² -2x+5. Simplify your answer as much as possible.

Answer:

y = -x - 2

Step-by-step explanation:

y-3=-1(x+5)

Expand.

y - 3 = -1x - 5

Add 3 on both parts.

y - 3 + 3 = -1x - 5 + 3

y = -1x - 2

Answer:

359.19

Step-by-step explanation:

Using the formula V=(πr^2) * h/3 and plugging in the given values we get 359.19.

I estimated pi at about 3.14

Answer:

90

Step-by-step explanation:

So, you need to calculate both of the areas of the shapes and then subtract them.

so, 9×12=108

and

3×6=18

108-18=90

Answer:

90

Step-by-step explanation:

area of the big rectangle

minus

the area of the small rectangle

108 - 18 = 90

The ellipses centered at the origin that runs through the points (1, 2), (2, 2), and (3, 1) is mathematically given as

-0.3523x^2 0.5284xy 15.9268y^2 = 1.

Generally, the equation for three points is mathematically given as

a+2b+4c=1.....1  for the variable (1, 2)

4a+4b+4c=1.....2  for the variable (2, 2)

9a+3b+c=1.....3  for the variable (3, 1)

Step 1

Here we solve equations 1 and 2 simultaneously to find the value of b

Therefore

equ 2-equ1

3a+2b=0

b=-1.5a....4

Step 2

We solve equations 1 and 3 simultaneously to find the value of c

Where

9*equ1-equ3 gives

-15b-35c=-8

c=8-15b

subbing equ 4 we have

c=8+22.5a ....5

Step 3

Put values of b and c in equation 2, and we have

4a-6a+32+90a=1

a=-31/88

a=-0.3523

The value of b will be

b=-1.5*a

b=0.5284

The value of b will be

c=8-22.5*a

c=15.9268

Step 4

In conclusion, the equation is given as

By substituting the values of a b and c into the general formula we have

-0.3523x^2 0.5284xy 15.9268y^2 = 1.

Read more about the equation

brainly.com/question/14614141

#SPJ1

The equation of the quadratic function whose graph is a parabola containing the points (10, 93), (0, -2), and (-5, 25.5) is f(x) = 3x² - 16.5x - 2.Step-by-step explanation:To find the equation of the quadratic function whose graph is a parabola containing the points (10, 93), (0, -2), and (-5, 25.5), we will use the general form of a quadratic function:f(x) = ax² + bx + cSubstituting the values for the three given points in the above general form of a quadratic equation, we get:93 = 100a + 10b + c   ......(1)(-2) = 0a + 0b + c         ......(2)25.5 = 25a - 5b + c       ......(3)Now, we have three equations (1), (2) and (3) in three variables a, b, and c. We can solve these equations to obtain the values of a, b, and c.Let's solve these equations:From equation (2), we have c = -2. Substituting this value in equations (1) and (3), we get:93 = 100a + 10b - 2  .......(4)25.5 = 25a - 5b - 2  .......(5)Now, we can solve equations (4) and (5) simultaneously to get the values of a and b. Subtracting equation (5) from equation (4), we get:67.5 = 75a + 15bSimplifying, we get: 9a + 3b = 45   ......(6)Again, multiplying equation (5) by 2 and adding it to equation (4), we get:143 = 200a + 20bSimplifying, we get: 10a + b = 7.15  ......(7)Now, we have two equations (6) and (7) in two variables a and b. We can solve these equations to get the values of a and b.Substituting the value of b from equation (7) in equation (6), we get:9a + 3(10a + 7.15) = 45Solving, we get: a = 3/2Now, substituting the value of a in equation (7), we get:b = 7.15 - 10(3/2) = -2.85Now, we have obtained the values of a, b, and c. Therefore, the required quadratic function is:f(x) = ax² + bx + c= 3/2 x² - 16.5/2 x - 2= 3x² - 33x/2 - 4Step 3: The final step is to simplify the quadratic function as much as possible.f(x) = 3x² - 33x/2 - 4= 3x² - 16.5x - 2Hence, the equation of the quadratic function whose graph is a parabola containing the points (10, 93), (0, -2), and (-5, 25.5) is f(x) = 3x² - 16.5x - 2.

#SPJ11

Learn more about parabola equation https://brainly.in/question/11356858

Answer:

Question 1:

SAT average divided by budget per student and

SAT average divided by teachers per student

Question 2:

Yes. According to both definitions, school A has the higher SAT average relative to the resources invested per student.

Answer:

2u-24

Step-by-step explanation:

Answer:2u-24

Step-by-step explanation:

There are a total of three terms in this expression.

Lets start by finding out the first two terms

-4(u+6)

-4*u= -4u

-4*6=-24

your first two terms are -4u and -24, which can be written as -4u-24.

The third term is 6u, and notice that 6u and -4u are like terms.

6u-4u=2u

And then we input -24 with 2u

2u-24

Answer:

Step-by-step explanation:

The slope of a line can be calculated:

\(m = \frac{y_2-y_1}{x_2-x_1}\\\)

We know that the slope is 7, so we want to solve for \(y_2\)

\(\frac{n-(-4)}{5-4} = 7\\\frac{n+4}{1} = 7\\n+4 = 7\\n = 3\)

Answer:

Step-by-step explanation:

each side of workshop = x

area of workshop = x²

each side of garage = 4x

area of garage = (4x)² = 16x²

total area = x² + 16x² = 17x²

17x² = 612

x² = 36

x = √36 = 6 ft

each side of workshop = 6ft

each side of garage = 24ft

Answer:

Billy= 14

Josh= 12

I think i over thank this

The algebraic expression for the cost of t T-shirts, not including sales tax is  15.95t - 5.

Given that:-

Cost of a T-shirt = $ 15.95

Discount on coupon = $ 5 (can be used for one T-shirt only)

We have to write an algebraic expression for the cost of t T-shirts, not including sales tax.

We know that,

Total cost of T-shirts = (Number of T-shirts)*(Cost of one t-shirt) - Discount

Hence, we can write,

C(t) = t*(15.95) - 5

C(t) = 15.95t - 5

Where, C(t) is the cost of t T-shirts and t is the number of T-shirts.

To learn more about algebraic expression, here:-

https://brainly.com/question/953809

#SPJ1

Answer:

7a. WAIT! It goes up by 5 on the y-axis. The slope is 4!

7b. is simple... 48 feet.

Step-by-step:

We know the number of seconds are on the x-axis. We can plug that into the equation to find y.

y = 4(12)

y = 48

48 feet.

The correct choice is (A): It is possible. Since Cx- v is consistent for every v in R, according to the Invertible Matrix Theorem that makes the 6x6 matrix not invertible. Since it is not invertible, Cx - v does not have a unique solution.

Because there are infinitely many solutions to Cx = v, if the equation Cx- v is consistent for every v in R6, the matrix C has a nontrivial nullspace (the set of all solutions to the homogeneous equation Cx = 0). The Invertible Matrix Theorem states that a matrix is invertible if and only if its nullspace contains the zero vector. As a result, if C's nullspace is nontrivial, C is not invertible.

If C is not invertible, it has no unique inverse, and so Cx- v lacks a unique solution for some v in R6. As a result, for some v, the equation Cx- v may have more than one solution.

For such more question on matrix:

https://brainly.com/question/14414517

#SPJ4

The molar mass of the sugar in the solution having an osmotic pressure of 30.1 mmHg at 34.3°C is 7.211 g/mol.

To find the molar mass of the sugar in the given solution, we can use the formula for osmotic pressure:

π = MRT

where π is the osmotic pressure, M is the molar concentration, R is the ideal gas constant, and T is the temperature in Kelvin.

First, let's convert the volume of the solution to liters:
254 mL = 0.254 L

Next, let's convert the osmotic pressure to atm:
30.1 mmHg = 30.1/760 atm = 0.0396 atm

Now, let's convert the temperature to Kelvin:
34.3°C = 34.3 + 273.15 = 307.45 K

Now we can plug the values into the formula and solve for the molar concentration (M):

0.0396 atm = M * 0.254 L * 0.0821 L.atm/(mol.K) * 307.45 K

Simplifying the equation:

M = (0.0396 atm) / (0.0821 L.atm/(mol.K) * 0.254 L * 307.45 K)

M = 0.0396 / (0.06395 mol)

M = 0.617 mol/L

Finally, let's find the molar mass of the sugar. We know that the molar concentration is equal to the number of moles divided by the volume:

M = (mass of the sugar) / (molar mass of the sugar * volume of the solution)

Simplifying the equation:

molar mass of the sugar = (mass of the sugar) / (M * volume of the solution)

Plugging in the given values:

molar mass of the sugar = 1.13 g / (0.617 mol/L * 0.254 L)

molar mass of the sugar = 1.13 g / 0.1568 mol

molar mass of the sugar = 7.211 g/mol

Therefore, the molar mass of the sugar is 7.211 g/mol.

Learn more about osmotic pressure here: https://brainly.com/question/25904085

#SPJ11

Here all three are the factor. {a+b} will be the sum and 1/2 is the term

Hopefully i am right

All the best ！！

(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.

(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:

PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)

PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)

Taking the cross product of PQ and PR, we have:

n = PQ x PR = (9, 1, -2) x (10, 4, 1)

Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.

(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:

|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)

Evaluating the magnitude gives |n| = \(\sqrt\)(811).

The area of triangle PQR is then:

Area = |n| / 2 = \(\sqrt\)(811) / 2.

To know more about nonzero vector refer here:

https://brainly.com/question/32673773#

#SPJ11

Answer:

27 children

Step-by-step explanation:

So, if you add 9 +4 = 13. 13 x 3 = 39.

3 times 9 = 27

Hope this helped! Pls mark me brainliest!

Answer:

27 children

Step-by-step explanation:

9+4=13

39/13=3

9x3=27

Answer:  b

Step-by-step explanation:

I think

Answer:

he needs more votes he wont have anofe he needs alot more

Step-by-step explanation:

Answer:10

Step-by-step explanation:

he tells you the answer

Answer:

-20/24 or -5/6

Step-by-step explanation:

Hope this helps!

Answer:

x=5/6

Step-by-step explanation:

-16x - 7 = 8x + 13

  -8          -8

-24x + -7 = 13   (Change addition to subtraction and add the opposite)

            7     7

-24x = 20

24        24

x = 0.8333333

x=5/6

The numbers below can be classified as follows:

Rational numbers are numbers that can be expressed as the ratio of two integers, where the denominator should not be equal to zero.

An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.

Whole numbers is a collection of all the basic counting numbers and 0.

Example of whole numbers are 0, 1 , 2, 3, 4...

Therefore,

-5 is an integer and rational  number.

-0.151 is a rational number.

72.72 is a rational number.

-5.236 is a rational number.

learn more on numbers here: https://brainly.com/question/19161857

#SPJ1

Answer:

8.5>d+10

Step 1: Flip the equation.

d+10<8.5

Step 2: Subtract 10 from both sides.

d+10−10<8.5−10

d<−1.5

Answer:

if 0° ≤ x ≤ 360°

x = 150°   or   x = 330°     (5/6 π , 11/6 π)

if x can be beyond 2π (360°) , above or below

x = 5/6 π + 2nπ      or   x = 11/6 π + 2nπ

Step-by-step explanation:

3 tanx = -√3

tan x = - 1/√3

if 0° ≤ x ≤ 360°

x = 150°   or   x = 330°     (5/6 π , 11/6 π)

if x can be beyond 2π (360°) , above or below

x = 5/6 π + 2nπ      or   x = 11/6 π + 2nπ

Answer:

\(m=\frac{d-n}{4}\)

Step-by-step explanation:

\(d=n+4m\\d-n=n+4m-n\\d-n=4m\\\frac{d-n}{4}=\frac{4m}{4}\\\frac{d-n}{4}=m\)

Answer: y = 3x -4

Step-by-step explanation:

the slope is 6/2 or 3 and y when x is 0 is -4. Hope this helps!

Answer:

\(\boxed{y = 3x - 4}\)

Step-by-step explanation:

Hey there!

Well let's start with slope,

The slope is 3x because the rise is 3 and the run is 1 so the slope is 3x.

Slope = 3

Now the y intercept is -4 because that's where the line touches the y axis.

Equation: y = 3x - 4

Hope this helps :)