1) Erin claims that she can add any point to theset and have the set still represent a function.{(3,-3), (5,0),(-1,4),(-6,7)}Which of the following points can be used toshow that Erin's claim is incorrect?Select all that apply.A. (-6,1)B. (-1,9)C. (0,5)D. (1,7)E. (3,-2)

Answer:

C

Step-by-step explanation:

log5- klog2= log5-log2^k = log(5/2^k)

The correct equation of the circle with center (0,0) that passes through the point (-6,-6) is:

(x + 6)² + (y + 6)² = 72

Please note that the equation represents the circle with center (0,0) and radius √72.\(\)

Answer:

The equation of a circle with center (0,0) that passes through the point (-6,-6) is:

(x - 0)² + (y - 0)² = r²

where r is the radius of the circle. Since the center of the circle is (0,0), we can use the distance formula to find the radius:

r = √(0 - (-6))² + (0 - (-6))² = √(6² + 6²) = √72

Therefore, the equation of the circle is:

x² + y² = 72

Answer:

im pretty sure thats 30

Step-by-step explanation: 3*10=30

Answer:

120 miles

Step-by-step explanation:

Answer:

C) 2*18, 3*12, 4*9, 6*6

Step-by-step explanation:

When these number sets are multiplied, all of them equal 36, therefore C is your answer.

Hope this helped! :)

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Step-by-step explanerqation:

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Answer:

y = 1/4x - 19/4

Step-by-step explanation:

Use the equation y = mx +b

x (x coordinate) = -1

y (y coordinate) = -5

slope (m) = 1/4

Plug in!

-5 = 1/4(-1) + b

-5 = -1/4 + b

-5 + 1/4 = b (Add 1/4 to both sides)

-20/4 + 1/4 = b

-19/4 = b

y = 1/4x - 19/4

Answer:

x=2.6

Step-by-step explanation:

Solve for x if h(x)=-7x-5 given that h(x)=-33

-33=-7x-5

-33+5=-7x

-18=-7x

-18/-7=x

2.6 =x

Answer:

Answer Placeholder (I'm going to solve it and answer when I'm done)

Step-by-step explanation:

The denominator of the fraction at point Y is equal to 24.

In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

Let the variable d represent the denominator of the fraction at point Y and since point Y is the same distance from 0 as point X, which is at 2/3 on a number line, this can be modeled by this mathematical expression:

8/d = 1 - 2/3

8/d = 1/3

Cross-multiplying, we have:

d = 8 × 3

d = 24.

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2916 ft³

Volume helps describe the amount of space that a shape takes up.

Volume of a Sphere

Volume describes the 3-dimensional size of a shape. Since volume is a 3-D measurement, the units should be cubed; this explains why the answer is given in feet cubed. In order to find the volume, we need to use the radius. The radius of a sphere is the distance from the center to the outside. In this case, we are told that the radius is 9 ft.

Volume Formula

Every regular shape has its own volume formula. For a sphere, the formula is:

So, to find the volume, all we need to do is plug in the radius. For this sphere, r = 9.

When using 3 for pi, the volume of the sphere is 2916 ft³.

Answer:

$8

Step-by-step explanation:

Answer:

The unit rate is $8

Step-by-step explanation:

Divide 1d10t

9514 1404 393

Answer:

  392 7/50

Step-by-step explanation:

The fraction part is fourteen hundredths, or 14/100. Removing a common factor of 2 from numerator and denominator reduces this to 7/50. Then the mixed number is ...

  392.14 = 392 7/50

The number of students who will be going on the trip is B. 40 students.

A mathematical expression is a rule-based set of numbers, variables, and mathematical operations performed to compute the output value.

The mathematical operations used to solve mathematical expressions include additions, subtractions, divisions, and multiplications.

The total of the weekend trip = $4,030

The cost of cleaning for the bus = $30

The cost of food and lodging per student = $60

The bus charge per student = $40

Total cost per student = $100 ($60 + $40)

The total cost, y = 4,030 - 30 - 100x

The number of students = x

x= (4,030 - 30)/100

= (4,000/100)

= 40.

Thus, the number of students who will be going on the trip is B. 40 students.

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Answer:

y=2x-16

Step-by-step explanation:

So since we have a point and the slope, we can use the point-slope equation to find our equation of a line

y - y₁ = m(x - x₁)

Here our (x₁, y₁) point is (4, -8) and our m is 2

Plugging in these values to our equation gives us:

y - (-8) = 2(x - (4)) → distributing the negative to the -8 gives y + 8 = 2(x - 4) → distributing the 2 to the (x - 4) gives y + 8 = 2x - 8 → and finally subtracting the  8 from both sides gives our equation of a line y = 2x - 16

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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Each friend received 2 1/6 pies.

If Miko baked 13 pies and divided them equally into 6 shares for her friends, each friend received:

13 / 6 = 2 with a remainder of 1

So each friend received 2 whole pies and a leftover piece. We can express this as a mixed number by writing:

2 1/6

Therefore, each friend received 2 1/6 pies.

What are the mixed number?

A mixed number is a number that combines a whole number and a proper fraction. It is written in the form of a whole number followed by a proper fraction. For example, 2 1/2 is a mixed number, which represents two whole units and a half unit. Mixed numbers are commonly used in everyday life, such as in measurements of time, distance, or weight.

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The sixth term of the geometric sequence is 2048.

The given geometric sequence is 2, 8, 32, 128. We can observe that each term is obtained by multiplying the previous term by 4. Therefore, the common ratio (r) of the sequence is 4.

The formula for the nth term (an) of a geometric sequence is given by:

an = a1 * r^(n-1)

where a1 is the first term and r is the common ratio.

For this sequence, a1 = 2 and r = 4. Plugging in these values into the formula, we get:

an = 2 * 4^(n-1)

To find a6, we substitute n = 6 into the formula:

a6 = 2 * 4^(6-1)

  = 2 * 4^5

  = 2 * 1024

  = 2048

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The Probable question may be:
Write an equation for the nth term of the geometric sequence 2, 8, 32, 128,

Then find a6. Round to the nearest tenth if necessary.

a = 5×4 X

a1 = n-1 X

We have the equation 6y-7x=24, and want to know what of the options represents a line parallel to that one.

First we need to write our equation in the form of the options:

Now, we know that two lines are parallel if and only if they slopes are equal, so the slope of our line is 7/6 and the option that has the same slope is the option A.

So te correct answer is the option A

In a case whereby Juan buys candy that costs $8 per pound and will spend at least $48 on candy  the possible numbers of pounds he will buy written in inequality is is p>5 (at least 5 pounds).

Inequality in math refers to a statement that one quantity is either greater than, less than, or not equal to another quantity. Inequalities are often represented using symbols such as "<" (less than), ">" (greater than), or "≤" (less than or equal to) and "≥" (greater than or equal to). For example, the inequality "x > 3" states that the variable "x" is greater than the value of 3. The inequality "y ≤ 5" means that the variable "y" is less than or equal to 5.

From the question, p = number of pounds Juan will buy.

candy=costs $8 per pound

$20/$4 = 5 pounds

p>5

at least 5 pounds

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Answer:

the first one is (23)

number 7 is ( 34.069)

Step-by-step explanation:

The value of x in the rectangle is 19/8

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The shape is a rectangle

Opposite sides of a rectangle are equal

So, we have

BD = AE

Using the above as a guide, we have the following equation

8x - 6 = 13

So, we have

8x = 19

Solving for x, we have

x = 19/8

More details are needed to calculate the measure of angle EBA

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Answer:

Step-by-step explanation:

First, you could factor 2 out of the whole thing.  The result would be 2(x^2-4x-45). Now we find the factors of 45 which are 1, 45, 5, 9, 15, 3. We have to find the pair that adds up to 4, and multiply to get 45. After some guess and check, we can find that 5 and 9 are those numbers. Now we have to get the right signs. Since the result is a negative number for -8k, and -90, the number that is a negative must be less than the other negative. -9<-5, so the answer would be 2(x-9)(x+5)

Answer:

One possible combination:

\(p(x) = \sin(2\, \pi \, x) - 1\).

\(\displaystyle q(x) = \frac{1}{2}\).

\(\displaystyle \lambda(x) = \frac{1}{2}\, \sin(2\, \pi\, x) - \frac{1}{2} + 1 = \frac{1}{2}\, \sin(2\, \pi\, x) + \frac{1}{2}\).

Step-by-step explanation:

The requirement that \(\lambda(x + 1) = \lambda(x)\) for all \(x \in \mathbb{R}\) suggests that \(\lambda\) should be a cyclic function with a period of \(1\).

One such example is the sine function. Let \(\omega\) denote a non-zero real number. Consider the expression \(\sin(\omega\, x)\).

\(\begin{aligned}\sin(\omega\, x) &= \sin(\omega\, x + 2\, \pi) \\ &= \sin\left(\omega\, \left(x + \frac{2\, \pi}{\omega}\right)\right)\end{aligned}\).

Note how replacing \(x\) with \(\displaystyle \left(x + \frac{2\, \pi}{\omega}\right)\) does not change the value of \(\sin(\omega\, x)\). Therefore, the period of \(\sin(\omega\, x)\!\) would be \(\displaystyle \frac{2\, \pi}{\omega}\).

The question requires that replacing the \(x\) with \((x + 1)\) should not change the value of \(\lambda(x)\). In other words, the period of \(\lambda\) should be \(1\). If \(\lambda(x)\!\) is indeed in the form \(\sin(\omega\, x)\), the value of \(\omega\) should ensure that \(\displaystyle \frac{2\, \pi}{\omega} = 1\). Therefore, \(\omega = 2\,\pi\).

It would take a few more transformations to ensure that for all integers \(n\),\(\displaystyle \lambda(n) = 0\) and \(\displaystyle \lambda\left(n + \frac{1}{2}\right) = 1\).

One possible approach is to make each \(n\) a trough of this function, and each \(\displaystyle\left(n + \frac{1}{2}\right)\) a crest of this function. The corresponding sine wave would have a range of only \(1\). However, without any transformation, \(y = \sin(2\, \pi\, x)\) would have a range of two.

Therefore, it would be necessary to compress \(y = \sin(2\, \pi\, x)\) vertically by a factor of \(2\), so that its range meets the needs.

\(y = \displaystyle \frac{1}{2}\, \sin(2\, \pi\, x)\) is the output of one such compression and has the correct period and range. However, its troughs would be at \(y = -\displaystyle \frac{1}{2}\) (rather than \(y = 0\)) whereas its crests are at \(\displaystyle y = \frac{1}{2}\) (rather than \(y = 1\).) It would be necessary to shift this function upwards by \(\displaystyle \frac{1}{2}\) unit for the troughs and crests to meet match the ones in the requirements.

\(\begin{aligned} y &= \displaystyle \frac{1}{2}\, \sin(2\, \pi\, x) + \frac{1}{2} \\ &= \frac{1}{2}\, \sin(2\, \pi\, x) - \frac{1}{2} + 1 = \frac{1}{2}\left(\sin(2\, \pi\, x) - 1\right) + 1\end{aligned}\).

Answer:

The expected value of the random variable X is 2.678.

Step-by-step explanation:

We are given that according to the American red cross, 10.3% of all Connecticut residents have type B blood.

Also, a random sample of 26 Connecticut residents is taken.

Let X = the number of CT residents that have Type B blood

The above situation can be represented through binomial distribution;

\(P(X = r) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r}; x = 0,1,2,......\)

where, n = number of trials (samples) taken = 26 residents

            r = number of success

            p = probability of success which in our question is % of all  

                  Connecticut residents who have type B blood, i.e; 10.3%.

So, X ~ Binom(n = 26, p = 0.103)

Now, the expected value of the random variable X is given by;

        E(X)  =  \(n \times p\)

                 =  \(26 \times 0.103\)  = 2.678

The expected value of the random variable X is 2.678.

According to the american red cross, 10.3% of all connecticut residents have type b blood. a random sample of 26 connecticut residents is taken. X= the number of CT residents that have Type B blood, of the 17 sampled.

= 26 (10.3%)

= 2.678

Here we multiplied the random sample with the given percentage so that the expected value could come.

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The general form representation of the polynomial which is as described in the task content is; f(x) = 4x³ + 38x² + 24x - 360.

It follows from the task content that the Polynomial in discuss has;

Therefore, the factored form of a polynomial can be written as follows;

P(x) = a (x - p) (x - q) (x - r) where p, q and r are the roots of the polynomial and a is the leading coefficient.

Since the factors of the polynomial f(x) are; (x + 6), (x + 6) and (x - 5/2).

Hence, the polynomial f(x) in discuss can be written as follows;

f(x) = 4 (x + 6) (x + 6) (x - 5/2)

f(x) = (x + 6) (x + 6) (4x - 10)

f(x) = 4x³ + 38x² + 24x - 360

Therefore, the required polynomial in standard form is; f(x) = 4x³ + 38x² + 24x - 360.

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The probability of the Doubles" means both dice show the same number is 36.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The probabilities of these two outcomes must be added in order to get the likelihood of rolling an even number or doubles, but since we have already tallied those outcomes twice, the probability of rolling both doubles and an even number must be subtracted. The probability of rolling doubles and an even number is 1/36 since rolling two sixes is the only method to get a double and an even number.

The likelihood of rolling an even number or doubles is thus:

The formula for P(even number or doubles) is P(even number) = P(even number) + P(doubles) - P(even number and doubles) = 1/2 + 1/6 - 1/36 = 19/36.

The odds of rolling an even number or two doubles are 19/36.

Therefore, the probability of the Doubles" means both dice show the same number is 36.

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Answer: 2 dolls

Step-by-step explanation: got it right

Answer:

Step-by-step explanation: