Tony needs to purchase 3,600 oz of vegetable oil for his catering business. For the containers shown in the table, how much would he save by purchasing those with the lowest unit price than those with the highest unit price?
Total amount at lowest price:
Total amount at highest price:
Amount saved:

So on solving provided question we can say that given coordinates are

(−6,4) and (−1,−8)so equation is x - y +10 = 0

A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.

given coordinates are

(−6,4) and (−1,−8)

so equation is

y-y1 = m(x-x1)

y-4 = x +6

x - y +10 = 0

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Answer:

x= -7/5 y=8/5

Step-by-step explanation:

1. choose a variable to eliminate (i chose 6)

2. multiply the first equation by 2 and the second equation by 3

3. now you have

-6x+6y=18

6x-21y=-42

and the x's can now cancel out when you add the equations together

4. after adding the equations, you get

-15y=-24

5. solve for y (y= 8/5)

6. now plug in 8/5 for the y in one of the original equations to solve for x. (i chose the first one)

7. -3x+3(8/5)=9

-3x+24/5=9

-3x=21/5

x= -7/5

To find the exact value of the expression sin(78°)cos(33°), we can use the trigonometric identity:

sin(A + B) = sin(A)cos(B) + cos(A)sin(B)

We can rewrite the expression as:

sin(78°)cos(33°) = sin(45° + 33°)cos(33°)

Using the identity sin(A + B) = sin(A)cos(B) + cos(A)sin(B), we have:

sin(78°)cos(33°) = [sin(45°)cos(33°) + cos(45°)sin(33°)]cos(33°)

Now, we can use the known values of sin(45°) = cos(45°) = √2/2 and sin(33°) to evaluate the expression:

sin(78°)cos(33°) = [(√2/2)(cos(33°)) + (√2/2)(sin(33°))]cos(33°)

= (√2/2)(cos(33°)cos(33°)) + (√2/2)(sin(33°)cos(33°))

= (√2/2)(cos^2(33°) + sin(33°)cos(33°))

Now, we can simplify further using the identity cos^2(A) + sin^2(A) = 1:

sin(78°)cos(33°) = (√2/2)(1 - sin^2(33°) + sin(33°)cos(33°))

= (√2/2)(1 - sin^2(33°)) + (√2/2)(sin(33°)cos(33°))

= (√2/2)(1 - sin^2(33°)) + (√2/2)(sin(66°)/2)

= (√2/2)(1 - sin^2(33°) + sin(66°)/2)

This is the exact value of the expression sin(78°)cos(33°).

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well, let's take a looksie at the picture

ahemm, the blue lines or diagonals, have sides of either 6+6 or 4+4, they make up four triangles each one with a side of 4, a side of 6 and another side that's pretty much the same on all triangles.

what the heck all that means?

well, it means, the sides AB=BC=CD=DA, and it also means the diagonals are bisecting each other, namely cutting each other in two equal halves, wait a second!!!!! equal sides, bisecting diagonals!! that's a RHOMBUS baby!  and yes, a rhombus is a parallelogram.

The mean of a standard normal probability distribution is 0.

A standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1. The probability density function of a standard normal distribution is given by:

f(x) = (1/√(2π)) * e^(-x^2/2)

where x is a random variable that follows a standard normal distribution. The mean of a probability distribution is the expected value of the random variable, which is given by the integral of the product of the random variable and the probability density function over its entire range.

For a standard normal distribution, this integral is equal to:

E(x) = ∫(-∞ to ∞) x * f(x) dx = ∫(-∞ to ∞) x * (1/√(2π)) * e^(-x^2/2) dx

This integral evaluates to 0, which means that the mean of a standard normal distribution is 0.

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Answer:

C = 3

Step-by-step explanation: Correct on plato

Answer:

C=3

Step-by-step explanation:

big brain

Answer:

Integers; -10

Step-by-step explanation:

Numbers that include zero, counting numbers and negative counting numbers are integers.

Whenever someone owes money to another, this is represented by adding a negative sign.

The pilot should release the bales approximately 440.8 meters in front of the cattle for them to land at the point where the cattle are stranded.

To determine how far in front of the cattle the pilot should release the bales of hay, we need to consider the horizontal distance traveled by the bales during their fall.

Since there are no horizontal forces acting on the bales (neglecting air resistance), the horizontal motion can be analyzed separately from the vertical motion.

Given:

The height above the ground when the bales are released: 120 m

The horizontal velocity of the airplane: 80.0 m/s

The time taken for the bales to fall from the release point to the ground can be found using the equation of motion for vertical free fall:

h = (1/2) × g × t²

where:

h is the vertical distance traveled (120 m in this case)

g is the acceleration due to gravity (approximately 9.8 m/s²)

t is the time taken for the fall

Rearranging the equation, we can solve for t:

t² = (2 × h) / g

t = sqrt((2 × 120) / 9.8) ≈ 5.51 s

Now, we can calculate the horizontal distance traveled by the bales during this time:

distance = velocity × time

distance = 80.0 m/s × 5.51 s ≈ 440.8 m

Therefore, the pilot should release the bales approximately 440.8 meters in front of the cattle for them to land at the point where the cattle are stranded.

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Answer:

0.78

Step-by-step explanation:

Perimeter = 0.26 cm + 0.26 cm + 0.26 cm

Perimeter = 0.78 cm

Therefore, the perimeter of the equilateral triangle with a side length of 0.26 cm is 0.78 cm.

Step-by-step explanation:

the triangle is an isosceles triangle hence the base angles are equal

sum of angles in a triangle is 180°, therefore, the top angle =180-(62+62)

the top angle =56°

h°= the top angle because alternate angles are equal

hence, h=56°

Answer:

h = 56

Step-by-step explanation:

The triangle has 2 congruent sides and is isosceles.

The base angles of an isosceles triangle are congruent, both 62° , then

vertex = 180° - (62 + 62)° = 180° - 124° = 56°

Then

h = 56 ( alternate angles )

Answer:

10°C is above ice point while -10°C is below ice point

The area enclosed by the parametric curve and the y-axis is 0.7542 square units.

The parametric curve is defined by \(\(x = t^2 - 2t\)\) and \(\(y = \sqrt{t}\)\).

Now, let's calculate the area enclosed by the curve and the y-axis:

\(\[ \text{Area} = \int_{0}^{c} |y| \, dt \]\)

Here,  \(\(c\)\)  is the upper bound of the domain, which is the value of \(\(t\)\) where the curve intersects the y-axis.

At the y-axis, the x-coordinate is 0, so we set \(\(x = 0\)\) in the equation for the parametric curve:

\(\[ x = 0\\ t^2 - 2t = 0\]\)

Solving for t:

\(\[ t^2 - 2t = 0 \\ t(t - 2) = 0 \]\)

So, t=0, or t=2. Since we are considering the domain where  \(\(t \geq 0\)\), the upper bound of the domain c is \(\(t = 2\)\).

Now, we'll integrate the absolute value of y with respect to t from 0 to 2:

\(\[ \text{Area} = \int_{0}^{2} |\sqrt{t}| (2t-t)\, dt \]\)

Since \(\(y = \sqrt{t}\)\) is positive in the given domain, the absolute value is not necessary, and we can simplify the integral:

\(\[ \text{Area} = \int_{0}^{2} \sqrt{t} (2t-t)\, dt \]\)

Now, integrate:

\(\[ \text{Area} = [\frac{4}{5}t^{5/2} -\frac{4}{3}t^{3/2} \Big|_{0}^{2} \]\\\)

\(\[ \text{Area} = [\frac{4\times\4\sqrt{2}}{5} -\frac{4\times\2\sqrt{2}}{3}] -0\)

\(\[ \text{Area} = \frac{8\sqrt{2}}{15}\)

\(\[ \text{Area} =0.7542 \ sq\ units\)

So, the area enclosed by the parametric curve and the y-axis is 0.7542 square units.

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The complete question is as follows:

Find the area enclosed by the given parametric curve and the y-axis. x = t² − 2t, y = √(t)

We have found two quadratic functions with x-intercepts (-5,0) and (5,0): f(x) =\(x^2 - 25\), which opens upward, and g(x) = \(-x^2 + 25\), which opens downward.

For the quadratic function that opens upward, we can use the x-intercepts (-5,0) and (5,0) to set up the equation:

f(x) = a(x + 5)(x - 5)

where a is a constant that determines the shape of the parabola. If this function opens upward, then a must be positive. Expanding the equation, we get:

f(x) = a(x^2 - 25)

To determine the value of a, we can use the fact that the coefficient of the x^2 term in a quadratic equation determines the shape of the parabola. Since we want the parabola to open upward, we need the coefficient of x^2 to be positive, so we can set a = 1:

f(x) = x^2 - 25

For the quadratic function that opens downward, we can use the x-intercepts (-5,0) and (5,0) to set up the equation:

g(x) = a(x + 5)(x - 5)

where a is a constant that determines the shape of the parabola. If this function opens downward, then a must be negative. Expanding the equation, we get:

g(x) = a(x^2 - 25)

To determine the value of a, we can use the fact that the coefficient of the x^2 term in a quadratic equation determines the shape of the parabola. Since we want the parabola to open downward, we need the coefficient of x^2 to be negative, so we can set a = -1:

g(x) = -x^2 + 25

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Answer:

Hindi KO po Alam yan

Step-by-step explanation:

pagaralan mo nang mabuti

Answer:

6 plus 6 or 10 plus 2

Step-by-step explanation:

pretty

that adds up to 12

Answer:

∠ ABC = 53.5°

Step-by-step explanation:

The inscribed angle ABC is half the measure of the intercepted arc AC

∠ ABC = \(\frac{1}{2}\) × 107° = 53.5°

Answer:

Step-by-step explanation:

\(7x^{2} +1 = 15x\) and \(63x^{2} +9x= 135x\)

so, divide because to solve for area you multiply so the opposite of multiplication is division, Anyway so \(135x/15x=9x\)

Hope this helps.

Answer:16

Step-by-step explanation:

subtract the old number by the new number

197-181=16

To determine how many packs of lashes the company needs to sell to make a profit, we need to use the given information to create an inequality with a variable. Let's call the number of packs of lashes the company needs to sell "x."

We know that the company made a profit of $50,000 last year and they want to make more than that this year. So, we can set up the inequality:

$50,000 + $5,000 + ($12 * x) > $50,000

The first two terms represent the profit the company made last year and this year, respectively. The third term represents the profit the company will make from selling x packs of lashes at $12 per pack.

To solve for x, we can simplify the inequality:

$12x > $50,000 - $50,000 - $5,000
$12x > -$5,000
x > -$5,000 / $12

Since we cannot sell a negative number of packs of lashes, we can ignore the negative sign and round up to the nearest whole number:

x > 417

Therefore, the company needs to sell at least 418 packs of lashes to make a profit greater than $50,000.

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The points on the cone z² = x²y² that are closest to the point (8, 2, 0) are (-4, 1, 0) and (4, -1, 0).

To find the points on the cone that are closest to the given point, we can use the method of Lagrange multipliers. Let's define the distance function D as the square of the distance between a point (x, y, z) on the cone and the point (8, 2, 0). The distance function can be written as D = (x - 8)² + (y - 2)² + z².

We need to minimize D subject to the constraint z² = x²y². Setting up the Lagrange equation, we have:

L = D - λ(z² - x²y²)

Taking partial derivatives with respect to x, y, z, and λ, and setting them equal to zero, we get the following system of equations:

2(x - 8) + 2λxy² = 0

2(y - 2) + 2λx²y = 0

2z - 2λx²y² = 0

z² - x²y² = 0

Solving these equations, we find two solutions: (-4, 1, 0) and (4, -1, 0). These points on the cone are closest to the given point (8, 2, 0).

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Answer:

1.66...

Step-by-step explanation:

5/3=

5 * 1/3=

5 * 0.33...=1.66...   ==> with bar on top of the 6

Answer:42 losses

Step-by-step explanation:

142 x 2/7

Answer:

the 3rd option

Step-by-step explanation:

When you look at the problem s you can see that when you divide 9 by 9 your not going to get anywhere then you should probably divide by this because it makes more sense

Answer:

neuma should have only divided 9 by 9

because \(\frac{9}{54}:9=\frac{9}{54}.\frac{1}{9}=\frac{1}{54}.\frac{9}{9}=\frac{1}{54}\)

Step-by-step explanation:

We are given the relationship:

a. It's required to find a relationship where r is a function of t. To do that, we need to solve the equation for r.

Subtract 4t:

Divide by 7:

b. We use the function found in part a and evaluate it for t=-7:

Thus, f(-7) = 6

c. Solve f(t) = 18

Again, we use the function from part a and solve the equation:

Multiplying by 7:

Subtract 14 and then divide by -4:

t = -28

The expression representing the prism's width is 4x² + 15x - 28.

Volume = Length x Width x Height

Plugging in the known values, we get the following equation:

20x³ + 75x² -10x - 140 = (4x + 7) x Width x 5

We can then solve for the width as follows:

Width = (20x³ + 75x² - 10x - 140) / (5(4x + 7))

Width = 4x² + 15x - 28

Therefore, the expression representing the prism's width is 4x² + 15x - 28.

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Answer:

Step-by-step explanation:

8% supporting the visiting team, so:

92% is 2576, find the total number:

The required interval is (105.4, 144.6) about the mean includes 95% of the data.

The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation, which is also known as the square root of variance.

The data is given in the question below as:

X ~ N ( µ = 125 , σ = 10 )

P ( a < X < b ) = 0.95

Dividing the area 0.95 in two parts we get 0.95/2 = 0.475

Since 0.5 area in the normal curve is above and below the mean

The area below the mean is a = 0.5 - 0.475

The area above the mean is b = 0.5 + 0.475

For the probability 0.025 in standard normal table to calculate critical value Z = -1.96

For the probability 0.975 in standard normal table to calculate critical value Z = 1.96

Z = ( X - µ ) / σ

-1.96 = ( X - 125 ) / 10

a = 105.4

1.96 = ( X - 125 ) / 10

b = 144.6

P ( 105.4 < X < 144.6 ) = 0.95

Hence, the required interval is (105.4, 144.6).

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Answer:

44%

0.44 is 44% of 1.

Answer:

B. -3

Step-by-step explanation:

Find the common ratio by dividing a term in the sequence by the one before it:

6/-2

= -3

So, the common ratio is -3.

The correct answer is B. -3

Answer:

B

Step-by-step explanation:

The geometric ratio is a3/a2=a2/a1=-2/(2/3)=-3.