Find the slope containing the two points (2,-1) and (4,-4)

Total volume = 11.664 cm³

The side length of the cube, l = 1.8 cm

Volume of a cube, V = l³

V = 1.8³

V = 5.832 cm³

Since the restaurant used two sugar cubes:

Total volume = 2 x 5.832

Total volume = 11.664 cm³

The measure of the complement of a 1-degree angle is 89 degrees.

The complement of an angle is defined as the angle that, when added to the given angle, results in a sum of 90 degrees. To find the measure of the complement of a 1-degree angle, we need to determine the angle that, when added to 1 degree, equals 90 degrees.

Let's denote the measure of the complement as x degrees. According to the definition, we can set up the equation:

1 degree + x degrees = 90 degrees.

To solve for x, we need to isolate it on one side of the equation. By subtracting 1 degree from both sides, we have:

x degrees = 90 degrees - 1 degree.

Simplifying the right side, we get:

x degrees = 89 degrees.

In summary, when an angle measures 1 degree, its complement measures 89 degrees. Complementary angles are pairs of angles that add up to 90 degrees. In this case, since the given angle measures only 1 degree, its complement is significantly larger, nearly forming a right angle. The concept of complementary angles is fundamental in geometry and can be applied to various problems involving angles and their relationships.

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Answer:

We can use the formula for the present value of an annuity:

PV = PMT x [(1 - (1 + r)^(-n)) / r]

where PV is the present value, PMT is the monthly payment, r is the monthly interest rate, and n is the number of payments.

Substituting the given values, we have:

PV = $31.48 x [(1 - (1 + 0.152/12)^(-18)) / (0.152/12)]

PV = $31.48 x [(1 - 0.5159) / 0.0127]

PV = $1,007.97

Therefore, the equivalent cash price of the iPod is $1,007.97.

The independent variable in this data is the speed of the car. This is because the congressman is trying to determine whether or not the gas mileage improves at lower speeds.

The dependent variable is the gas mileage, because it is the variable that is being measured and that is affected by the independent variable.

The other variables in this data are the weight of the car, the type of engine, and the year of the car. However, these variables are not being changed in this experiment, so they are not considered to be independent variables.

The data shows that the gas mileage of the Toyota Camry improves as the speed of the car decreases. This supports the claim of the supporters of the bill to reduce the speed limit.

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Answer:

Step-by-step explanation:

I am not really sure because u did not finish the question but is u are asking how much time it takes to fit one tyre:

answer is time/tyres

56min./4

14 min. Per type

The probability of spinning an even number, flipping tails, then spinning an odd number is:

1/9   (as fraction) or 11.11% (as percent)

To find the probability of spinning an even number, flipping tails, then spinning an odd number. We need to consider the individual probabilities. That is:

We have only one even number in the spinner, and that is 2. Thus,

P(even number) = 1/3

For a coin, the probability of head or tail is 1/2. Thus,

P(tail) = 1/2

We have two odd number in the spinner, and that is 1 and 3. Thus,

P(odd number) = 2/3

Therefore, the probability of spinning an even number, flipping tails, then spinning an odd number will be:

P(even, tail, odd) = 1/3 * 1/2 * 2/3

                            = 2/18

                            = 1/9   (as fraction)

In percent:

P(even, tail, odd) =  1/9 * 100

                            = 11.11%

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There are four types of social norms that can help inform people about behavior that is considered acceptable: folkways, mores, taboos, and law.

Social values are the focus of sociology. Cultural norms known as social values describe the overall well-being thought desirable for a structured social existence. These presumptions concern what is morally correct and significant for society. They provide social structures and behavior its ultimate meaning and legitimacy. They are ideals or abstract feelings. "Equality of opportunity" is a prime illustration of social value. It is frequently regarded as a desirable end in and of itself.

When several people interact, a set of norms emerges that governs their interactions and behaviors. Social norms are these standards of group behavior.

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Answer:

r = 0

Step-by-step explanation:

To solve this for r, add 20 to both sides.  The result will be -10r = 0, and so

the solution is r = 0.

Answer:

0

Step-by-step explanation:

-10r - 20 = -20

-10r = -20 + 20

-10r = 0

r = 0

Answer:

All real numbers

Step-by-step explanation:

Multiply the left side first

-2x - 8 =  -2x - 5 - 3

Add 8 to the right side

-2x = -2x  ( the 8 cancelled out the -5 and -3)

Then the -2x cancel each other out so the answer would All real numbers. There is no real answer for x.

Answer:

Step-by-step explanation:

\(v =( 7 \times 6 \times 1) + (3 \times 2 \times 1) \\ v = 42 + 6 \\ v = 48 \: {cm}^{3} \)

I hope that is useful for you :)

Answer:

Question 6: I know that (8 + 9) + 3 is equal to 8 + (9 + 3) because of the associative property states that you can change the grouping of addends in any order you want. The benefit to using this property is that you can first add numbers that you can combine more easily. For example, (743 + 51) + 49 can be written as 743 + (51 + 49) or 743 + 100. It is more straightforward to add the numbers that equal 100 first and then add the final number.

Question 3: -3(4x + 3) + 5x [Given]; -12x - 9 + 5x [Distributive Property]; -12x + 5x - 9 [Commutative Property]; -7x - 9 [Combine like-terms]. \(\frac{1}{2}\) (6k + 10) + 5k [Given]; 3k + 5 + 5k [Distributive Property]; 3k + 5k + 5 [Commutative Property]; 8k + 5 [ Combine like-terms].

Question 4: 4(2 - 5) - 8 = 4 * (-3) - 8 = -12 - 8 = -20; 4 * 2 - 28 = 8 - 28 = -20.

Question 5: 15 * 3 - 2(2 * 3 + 6) = 45 - 2(6 + 6) = 45 - 2(12) = 45 - 24 = 21; 11 * 3 - 12 = 33 - 12 = 21.

Answer:

D. $7.50

Step-by-step explanation:

$157.50 / 21 hours = $7.50 per hour

Answer:

B.  110°

Step-by-step explanation:

Vertical Angles Theorem

When two straight lines intersect, the opposite vertical angles are congruent.

Linear Pair

Two adjacent angles that sum to 180° (two angles which when combined together form a straight line).

Corresponding Angles Postulate

When a straight line intersects two parallel straight lines, the resulting corresponding angles are congruent.

Given:

Apply the Vertical Angle Theorem to find the measure of angle 8:

⇒  m∠3 = m∠8 = 70°

As angles 7 and 8 form a linear pair:

⇒  m∠7 + m∠8 = 180°

⇒  m∠7 + 70° = 180°

⇒  m∠7 = 110°

As line p is parallel to line q, apply the Corresponding Angles Postulate to find the measure of angle 15:

⇒  m∠15 = m∠7 = 110°

Therefore, the measure of angle 15 is 110°.

Since there is a total of 24 students, and 21 of them did the homework videos. Then we need to find the percent of students that watched the videos.

So we evaluate the quotient of the number of students that watched the videos divided by the total number of students:

21/24 = 0.875

which comes in decimal form. So now we convert it to percent form (bymultiplying it by 100:

0.875 x 100 = 87.5 %

Then 87.5 % of the students watched their homework videos.

Step-by-step explanation:

there is nothing missing. this is a complete proof.

yes, the various steps are correct.

Answers:

\(B(-2, 2) \to\\B \ ' \ (-3, 3)\\\\C(3,3) \to\\C \ ' \ (4.5, 4.5)\\\\D(3,0) \to\\D \ ' \ (4.5,0)\\\\A(-1,-2) \to\\A \ ' \ (-1.5, -3)\\\\\)

See the diagram below

======================================================

Explanation:

If you dilate by a scale factor of k, and do so about the origin, then you use the rule \((x,y) \to (kx,ky)\). We multiply the scale factor k by each coordinate.

We have the following given points:

Multiply each coordinate, of each point, by 1.5 to get the corresponding image point.

For example, point B will have these steps

The old point B(-2,2) moves to B'(-3,3). The same applies for the other three remaining points.

After calculating we found that: a) 95% of widget weights lie between 42 and 54 ounces.b) 97.35% of widget weights lie between 39 and 54 ounces and c) 0.3% of widget weights lie above 45 ounces.

a) Since the distribution is bell-shaped and the mean is 48 ounces with a standard deviation of 3 ounces, we can use the 68-95-99.7 Rule to determine that 68% of the widget weights lie within one standard deviation of the mean, 95% lie within two standard deviations of the mean, and 99.7% lie within three standard deviations of the mean. Thus, we know that 95% of the widget weights lie between:

48 - 2(3) = 42 ounces and 48 + 2(3) = 54 ounces.

b) To find the percentage of widget weights that lie between 39 and 54 ounces, we need to determine how many standard deviations away from the mean these values are.

39 ounces is 9 ounces below the mean, so it is (9/3) = 3 standard deviations below the mean.

54 ounces is 6 ounces above the mean, so it is (6/3) = 2 standard deviations above the mean.

Using the 68-95-99.7 Rule, we know that 99.7% of the widget weights lie within three standard deviations of the mean. Since 39 ounces is three standard deviations below the mean, we can conclude that 0.15% (or 0.003 x 100) of the widget weights lie below 39 ounces.

Likewise, since 54 ounces is two standard deviations above the mean, we know that 2.5% of the widget weights lie above 54 ounces. Thus, the percentage of widget weights that lie between 39 and 54 ounces is:

100% - 0.15% - 2.5% = 97.35%

c) We need to find the percentage of widget weights that lie above 45 ounces. Since 45 ounces is three standard deviations below the mean, we know that 99.7% of the widget weights lie above 45 ounces. Therefore, the percentage of widget weights that lie above 45 ounces is:

100% - 99.7% = 0.3%.

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On solving the provided question, we can say that the probability of the red die rolling is 16.67% probability = 0.1667

A branch of mathematics called probability theory determines the chance that an event will occur or that a statement is true. A probability is a number between 0 and 1, where 1 denotes certainty and about 0 denotes how probable an event is to occur. The possibility or likelihood that a specific event will occur is expressed numerically as a probability. Probabilities can also be expressed as percentages from 0% to 100% or as numbers between 0 and 1. the proportion of occurrences among all equally likely alternatives that lead to a certain event relative to all possible outcomes.

red die, there are 3 numbers greater than 3 out of 6 numbers

Probability (A) = 3/6 = 1/2.

green die, there are 2 numbers less than 3 out of 6 numbers

Probability (B) = 2/6 = 1/3.

events are independent

P(A and B) = \(P(A)P(B) = 1/2 X 1/3 = 1/6 = 0.1667\)\(P(A)P(B) = 1/2 X 1/3 = 1/6 = 0.1667.\)

16.67% probability = 0.1667

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Answer:

A population can be a group of objects or events.

A population must be the target of the survey question.

Step-by-step explanation:

I had the same question.

The insurance company would pay a total of $101,000 for the medical expenses resulting from the accident.

In this scenario, Sally's car insurance policy has coverage limits of 100/300/50. These numbers represent the maximum amount the insurance company will pay for different types of damages in an accident. Let's break down what these numbers mean in the context of the collision.

The first number, 100, represents the maximum amount (in thousands of dollars) that Sally's insurance company will pay for bodily injury per person. Since Sally sustained $150,000 in injuries and her passenger sustained $1,000 in injuries, the insurance company will cover Sally's medical expenses up to the policy limit, which is $100,000.

The second number, 300, represents the maximum amount (in thousands of dollars) the insurance company will pay for bodily injury per accident. In this case, both Sally and her passenger were injured, so the insurance company will cover their combined medical expenses up to the policy limit, which is $300,000.

The third number, 50, represents the maximum amount (in thousands of dollars) the insurance company will pay for property damage per accident. However, since the question only mentions injuries and not property damage, we can disregard this number for now.

Therefore, the total medical expenses the insurance company would pay for this accident would be $100,000 for Sally's injuries and $1,000 for her passenger's injuries, totaling $101,000.

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We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

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Answer:

the answer is D

hope it will help

Answer:

7.8 x \(10^{-2}\)

Step-by-step explanation:

this is the real answer

we have:

x -- number of miles that Miguel rode his bike

y -- number of miles that Nathan rode his bike

system of equations

then solve for y

asnwer: A. 2 miles

Answer:

112.5 km apart

Step-by-step explanation:

Multiply 7.5 by 15:

7.5(15)

= 112.5

So, in real life, they are 112.5 km apart

The distance between the two towns is 112.5km in real life.

The scale of the map replaces the original large measurements with the small measurements. To locate the original places and their distances is impossible on a map. In such a case, the large units are converted to small units and used instead of them.

The given map shows the distance between two towns as 7.5cm and the scale of the map is given as 1cm = 15km

So, the distance between those two towns is

= 7.5 × 15 km

= 112.5 km

Therefore, the distance between the two towns in real life is 112.5 km.

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Answer:

a) 62.5

b) -62.5

Step-by-step explanation:

Given:

x² + y² + z² = 1 is T = 500xyz²

Required:

Locate the highest and lowest temperatures.

Here,

S = (x² + y² + z² = 1)

T = 500 xyz²

Let's take Lagrange multiplier:

∇T = λ∇S

Thus,

500 yz² = λ(2x)........... 1

500 xz² = λ(2y).............2

500 xy² = λ(2z)..............3

Where, x² = y², 2y² = z²

Therefore,

x²+ y²+z² = 1

=> x² + x² + 2x² = 1

Solve for x:

x = ±½ = y

z = ±\( \frac{1}{\sqrt{2}} \)

From the above calculations,

x, y, z = ±½, ±½, ±\(\frac{1}{\sqrt{2}} \)

Calculate for the highest temperature:

Tmax = T(½, ½, \(\frac{1}{\sqrt{2}}) \) = 500 * ½ * ½ * ½ = \( \frac{500}{8} = 62.5 \)

Calculate for the lowest temperature:

Tmin = T(-½, ½, \(\frac{1}{\sqrt{2}}) \) = 500 * -½ * ½ * ½ = \( - \frac{500}{8} = -62.5\)

The highest temperatures is 62.5 and lowest temperatures is -62.5 on the sphere

Given-

The given equation is,

\(x^2+y^2+z^2=1\)

The equation for the temperature is,

\(T=500(xyz)^2\)

By the Lagrange multiplier

\(\bigtriangledown T=\lambda \bigtriangledown S\)

we can rewrite the  temperature equation by the above multiplier as,

\(500yz^2=\lambda (2x)\)

\(500xz^2=\lambda (2y)\)

\(500xy^2=\lambda (2z)\)

Here let,

\(x^2=y^2\)

\(2y^2=z^2\)

therefore,

\(2x^2=z^2\)

Put this values in the given equation of the question we get,

\(x^2+x^2+2x^2=1\)

\(4x^2=1\)

\(x^2=\dfrac{1}{4}\)

\(x= \pm\dfrac{1}{2}\)

Therefore,

\(y= \pm\dfrac{1}{2}\)

\(z= \pm\dfrac{1}{\sqrt{2} }\)

Use positive value for the highest temperatures and negative values for the lowest value of temperatures in the temperature equation.

Highest temperature is,

\(T=500(xyz)^2\)

\(T_h=500(\dfrac{1}{2} \times\dfrac{1}{2}\times\dfrac{1}{2} )\)

\(T_h=\dfrac{500}{8}=62.5\)

Lowest temperature is,

\(T_l=500(\dfrac{-1}{2} \times\dfrac{-1}{2}\times\dfrac{-1}{2} )\)

\(T_l=-62.5\)

Hence, the highest temperatures is 62.5 and lowest temperatures is -62.5 on the sphere

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Answer: $4.40 is the cost for the call