Find f(-3) if f(x) = x^2.

- -9

- -6

- 6

- 9​

Answer: B and C

Step-by-step explanation:

-2343  is an integer and also a rational number since it can be expressed as a fraction.  

An integer is whole number and its opposite so -2343 is an integer because its opposite is 2343.

Answer:

after simplifying, we get,

23/6

Step-by-step explanation:

(2/3+5/2-7/3)+(3/2+7/3-5/6)

We simplify,

\((2/3+5/2-7/3)+(3/2+7/3-5/6)\\(2/3-7/3+5/2)+(3/2+7/3-5/6)\\(5/2-5/3)+(9/6+14/6-5/6)\\(15/6-10/6)+((9+14-5)/6)\\(15-10)/6+(23-5)/6\\5/6+18/6\\(5+18)/6\\23/6\)

Answer:24-25a

Step-by-step explanation:

Answer:

x=2*sqrt(5)

Step-by-step explanation:

Since the triangle is isosceles, the other side of the triangle is sqrt(10) too. By using Pythagoras theorem, we have 10+10=x^2, x=2*sqrt(5).

Answer:

14.3

Step-by-step explanation:

Step-by-step explanation:

Four tosses of the coin result in 2^4 = 16 possible outcomes of which FOUR

will have ONE tails :

HHHT

HHTH
HTHH
THHH      so 4 out of 16  = 4/16 = 1/4    Not very unusual

In the equation z = c t + d, where z is measured in meters (m) and t is measured in seconds (s), the dimensions of c are meters/seconds or m / s

Given: The equation z = c t + d, where z is measured in meters and t is measured in seconds. To find the dimensions of c

What are the units and dimensions?

Dimensions can be defined as some physical quantities that exist in some particular domains of existence that can be measured, whereas units are just some arbitrary names that are reserved by particular dimensions which are used to define the quantity that is about the measurement or the dimensions used concerning the particular object or instance of something.

What is the homogeneity of dimensions?

In a given equation consisting of different variables, the dimensions assigned with each term in the equation must be consistent on both the left and right sides.

For example: Let's take the formula of final velocity (v):

v = u + a t, where

v = final velocity and unit is m / s

u = initial velocity and unit is m / s

a = linear acceleration and unit is m / s²

t = time and unit is t

Observe the dimension and units for each term in the equation.

On the left-hand side, we have only one term which is v  (final velocity) and is measured in m / s.

On the right-hand-side, we have 2 terms u (initial velocity) and at (acceleration and time)

u is measured in m / s

a is measured in m / s² and t is measured in s

so, it is measured in m / s² × s is m / s

Therefore both u and at has the dimensions as m / s.

Hence all the terms in LHS and RHS which are v, u, and at are measured in m / s.

This is known as the homogeneity of dimensions for an equation.

Let's solve the given equation:

z = c t + d

where z is measured in meters and t is measured in seconds.

Now z is measured in meters (m), so by the principle of homogeneity of dimensions, c t must also be measured in meters (m).

Now t is measured in seconds (s), so if the dimensions of c are meters/second then the term c t will be measured in meters.

Hence the dimensions of c are meters/second or m / s

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In the equation z = c t + d, where z is measured in meters (m) and t is measured in seconds (s), the dimensions of c are meters / seconds which can also be expressed as m / s.

We are given the equation z = c t + d;

where z is measured in meters and t is measured in seconds. T

We have to find the dimension or units of c.

Dimensions means some physical quantities that exist in some particular domains of existence and can be measured.

If we have a equation, then the dimension that is on the left sides of it should be the same as the one on the right on it.

This is called the homogeneity of dimensions for an equation that is being given.

Now, we have the equation:

z = c t + d

Since,

z is being measured in meters (m), so by using the principle of homogeneity of dimensions, c t must also be measured in meters (m).

Also, t is measured in seconds (s).

So, if the dimensions of c are meters/second then the term c t will be measured in meters.

Therefore, the dimensions of c are meters/second or m / s.

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Answer:

RANGE: 120 - 160

Step-by-step explanation:

15*8 = 120

20*8 = 160

RANGE: 120 - 160

Answer:

See below.

Step-by-step explanation:

52 as there is a total of 52 in the pack.

Probability (drawing a red card) =26/52 = 1/2.

4 aces.

Probability(drawing an ace) = 4/52 = 1/13.

Probability(drawing a numbered card) = 40/52  = 10/13.

Answer:

The answer should be a letter which is t.

Step-by-step explanation:

1) Simplify 2/3t to 2t/3.

\( \frac{2t}{3} \times 1 \frac{1}{2} \)

2) Convert 1 1/2 to improper fraction. Use this rule: a b/c = ac+b/c.

\( \frac{2t}{3} \times \frac{1 \times 2 + 1}{2} \)

3) Simplify 1 × 2 to 2.

\( \frac{2t}{3} \times \frac{2 + 1}{2} \)

4) Simplify 2 + 1 to 3.

\( \frac{2t}{3} \times \frac{3}{2} \)

5) Cancle 3.

\(2t \times \frac{1}{2} \)

6) Cancle 2.

\(t\)

Therefor, the answer for this equation is a letter which is t.

Answer:

your answer would be t

Step-by-step explanation:

Answer: 29.5735 is 1 ounces in ml

There is 0.0338 ounces in 1 ml (Using Units).

What are units?

Units are the tools to measure and compare different things. Comparison becomes easy when all the units for the measurement are the same.  Different units can be classified depending on their use.

There are two type of units

1. Fundamental Units: Fundamental units are all those units that do not depend on any other unit (including themselves). These units cannot be further reduced to the elementary level. In fact, these are elementary units. Only seven fundamental units exist in Metric System or SI system which are

Length (meter, m)

Mass (kilogram, kg)

Time (second, s)

Temperature (kelvin, K)

Amount of substance (mole, mole)

Electric current (ampere, A)

Luminous intensity (candela, cd)

2. Derived units:These units are all those units that are obtained by multiplying and/or dividing one or more fundamental units with or without introducing any other numerical factor. These units can be reduced to their elementary level, which is composed of fundamental units. There exist a large number of derived units in the Metric System.

Examples:

Velocity (m/s)

Acceleration (m/s2)

Momentum (kg-m/s)

Force (N)

Density (kg/m3)

Heat (J)

Energy (J)

Power (W), etc.

Now, To change 1ml to ounces

divide 1ml by 29.574 this will give us value in ounces

Therefore, 1ml/29.574= 0.0338 ounces

hence,

           There is 0.0338 ounces in 1 ml.

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Answer:

An online class is a course conducted over the Internet. They are generally conducted through a learning management system, where students can view their course syllabus and academic progress, as well as communicate with classmates and their course instructor.

Step-by-step explanation:

To evaluate the expression p² + 3p-7 when p = -3, we can substitute -3 for p in the expression. This gives us (-3)² + 3(-3) - 7. Simplifying, we get 9 - 9 - 7 = -11. Therefore, the answer is b. -11.

Here is a more detailed explanation of the steps involved in evaluating the expression:

Substitute -3 for p in the expression. Simplify the expression by combining like terms. The answer is the simplified expression. In this case, the simplified expression is -11. Therefore, the answer is b. -11.

Here are some additional notes about evaluating expressions:

When evaluating an expression, we can substitute any value for the variable. We can simplify an expression by combining like terms. The answer to an evaluation problem is the simplified expression.

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7)(3,8)

8)90 °

9)AZ is not a median

Explanation

Step 1

An altitude of a triangle is the perpendicular segment from a vertex of a triangle to the opposite side,so

in the graph, we would have

hence, th coordinate A is

Step 2

what is angle ZAX

due to the lines AZ and XY are perpendicular, the intersetion of the lines form an 90 ° angle

Step 3

b)Is AZ also a median? Justify your answer.

median is the line segment from a vertex to the midpoint of the opposite side. It is also an angle bisector when the vertex is an angle in an equilateral triangle or the non-congruent angle of an isoceles triangle.

therefore, the altitude is also the median ONLY for ISOSCELES TRIANGLES,

hence

AZ is not a median

I hope this helps you

Answer:

x ≤ 5

y ≤ 8

12x + 6y ≤ 20

Step-by-step explanation:

First, x ≤ 5 is a constraint because Ronald has enough yarn to make 5 or less hats.

y ≤ 8 is also a constraint because Ronald has enough yarn to make 8 or less scarves.

Lastly, 12x + 6y ≤ 20 is a constraint because Ronald has 20 hours to knit, and it takes 12 hours to knit a hat and 6 hours for a scarf.

Answer:

8h + 15 = 39

Step-by-step explanation:

The base fee is 15 so you shouldn't multiply the hours by it.

The question states 8 per hour which means that you should multiply the 8 by hours and add on the base fee which is 15.

Answer:

8h+15=39

im pretty sure this is your answer. let me know if it was or not

the unit rate of the crackers will be $0.233.

What is Rate?

A rate in arithmetic is a ratio that contrasts two separate values with various unit systems. For instance, if John types 50 words per minute, that means he types 50 words per minute. We are dealing with a rate because the word "per" is there. The symbol "/" can be used in place of the word "per" in issues.

When two or more similar amounts or numbers are being compared using the same units, a ratio is utilized. When referring to the ratio of one quantity "to" the second quantity in spoken language, it is frequently written with a colon.

A certain brand of crackers costs $2. 89 for 12. 4 ounces.

So per 1 ounce it will cost = 2.89/12.4 = 0.233

Hence the unit rate of the crackers will be $0.233.

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Answer:

D

Step-by-step explanation:

Answer:

they made 3 batchs

Step-by-step explanation:

Answer:

P=10√2

Step-by-step explanation:

Perimeter of rectangle= 2 length + 2 width

P=2l+2w

P=2(√18)+2(√8)

P=2(√9*2)+2(√4*2)

P=2*3*√2 +2*2√2

P=6√2+4√2

P=10√2

The probability of having 90 or more wins in the next three hours of playing is 0.0506 or 5.06% (approx).

We are required to find the probability of having 90 or more wins in the next three hours of playing a mobile phone game similar to Pokémon, given that the number of successive win follows a Poisson distribution with a mean of 27 wins per hour.

The given mean of Poisson distribution is λ = 27.

The Poisson distribution formula is:P(X = x) = (e^-λ λ^x) / x!

We need to calculate the probability of having 90 or more wins in 3 hours.

We can combine these three hours and treat them as one large interval, for which λ will be λ1 + λ2 + λ3= (27 wins/hour) * 3 hours= 81 wins.

P(X ≥ 90) = 1 - P(X < 90)

To calculate P(X < 90), we can use the Poisson distribution formula with λ = 81.P(X < 90) = Σ (e^-81 * 81^k) / k!, k = 0, 1, 2, ....89= 0.9494

Using the above formula and values, we get P(X ≥ 90) = 1 - P(X < 90)= 1 - 0.9494= 0.0506

Therefore, the probability of having 90 or more wins in the next three hours of playing is 0.0506 or 5.06% (approx).

Hence, the probability of having 90 or more wins in the next three hours of playing is 0.0506 or 5.06% (approx).

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Answer:

Step-by-step explanation:

are valid as opposite angles, therefore equal, we solve with an equation

4x + 18 = 7x - 21

18 + 21 = 7x - 4x

39 = 3x

x = 39 : 3

x = 13

----------------------

check

4 x 13 + 18 = 7 x 13 - 21

70 = 70

the answer is good

x = 13

To find a 95% confidence interval for the difference in fuel efficiencies between city and highway driving,The Confidence interval = 7.29 ± (1.96 * (2.53 / √(608))).

Confidence interval = mean difference ± (t-value * standard error)

First, we need to calculate the standard error. The standard error is the standard deviation divided by the square root of the sample size:

Standard error = standard deviation / √(sample size)

In this case, the mean difference in fuel efficiencies is 7.29 mpg, and the standard deviation is 2.53 mpg. The sample size is 608 vehicles. Let's calculate the standard error:

Standard error = 2.53 / √(608)

Next, we need to find the t-value for a 95% confidence level. Since the sample size is large (608), we can approximate the t-value using a normal distribution. For a 95% confidence level, the t-value is approximately 1.96.

Now, we can calculate the confidence interval:

Confidence interval = 7.29 ± (1.96 * standard error)

Substituting the values we calculated:

Confidence interval = 7.29 ± (1.96 * (2.53 / √(608)))

Simplifying this expression will give us the confidence interval.

To interpret the confidence interval in context, we can say:

We are 95% confident that the true mean difference in fuel efficiencies between city and highway driving for the population of vehicles lies within the calculated confidence interval. This means that, on average, we expect the difference in fuel efficiencies between city and highway driving to be between [lower bound] mpg and [upper bound] mpg.

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(a) No, the operation * is not closed on the real numbers.

To determine closure, we need to check if for any two real numbers x and y, xy is also a real number. However, if we choose r to be any real number other than 1, the result of xy will involve a term (-ry) that may not be a real number, breaking closure.

(b) No, the operation * is not commutative.

Commutativity requires that xy = yx for all real numbers x and y. However, in this case, xy = x + y - ry, while yx = y + x - rx. Since ry and rx are not generally equal, the operation is not commutative.

(c) No, the operation * is not associative.

Associativity requires that (xy)z = x(yz) for all real numbers x, y, and z. However, if we substitute the definition of * into both sides of the equation, we get different expressions that are generally not equal. Therefore, the operation * is not associative.

(d) Yes, the operation * has an identity element.

The identity element e is a real number such that for any real number x, xe = ex = x. In this case, choosing e = 0 satisfies the identity condition, as x0 = x + 0 - r0 = x. However, not every real number has an inverse since there are values of x for which xy = e has no solution, violating the requirement for every element to have an inverse.

(e) No, (R, *) is not a group.

A group requires closure, associativity, an identity element, and every element having an inverse. Since the operation * fails to satisfy closure and does not have inverses for all real numbers, it cannot form a group.

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Answer:

The answerr is the first one

Step-by-step explanation:

Answer:

ITs A. Got it right on my test

Step-by-step explanation:

Answer:

It's 3

Step-by-step explanation:

Just divide the entire equation by 3 to isolate the y variable on the left side.

y = mx + b (m is the slope)

and in this equation, after you divide by 3, the value of m is 3.

Answer:

There is no Shape

Step-by-step explanation:

Give more information

Answer: y=2x-1

Step-by-step explanation:

(1,1) (2,3) (3,5) (4,7)
1=2(1)-1
3=2(2)-1
5=2(3)-1
7=2(4)-1