is the product of 8 negative numbers and 7 positive numbers a positive number or a negative number?​

Answer:

5

Step-by-step explanation:

I believe that this is correct because 220 is divisible by 5, which means it has completed the pattern 44 times (220 divided by 5 is 44). So 221 means that it has completed it 44 times, and then starts it one more time with only the first number.

The ordered pair that could be the image point is (a) (2.5,1)

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

Point C = (5, 2)

This means that

C = (5, 2)

The point is dilated using the origin as a center of the origin

So, the image point is

C = k(5, 2)

Let k = 1/2

So, we have

C = 1/2(5, 2)

Evaluate

C' = (2.5, 1)

Hence, the ordered pair that could be the image point is (a) (2.5,1)

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Question

Triangle ABC is dilated with the origin as the center of the dilation. Which ordered pair could represent the image of point C(5, 2) after the dilation?

A (2.5,1)

B (5,−2)

C (7.5,4.5)

D (−1,−4)

Answer:

36.8 ft.

9 ft. 2 inch = 9.2

9.2 x 2 = 18.4

9.2 x 2 = 18.4

18.4 + 18.4 = 36.8

Answer:

$2.10x + 5= $49.10

x=21

Step-by-step explanation:

the x is used for a variable that changes and in this case the mph changes which lead x being the amount of miles that they had drove which at the end ends up multi. with the $2.10 . as for the 5 it was an initial as in it doesn't change.

for the second part

you subtract 5 from each side so you have the total of 2.10x= 44.10 then u divide 2.10 from each side and that will give you x = 21

Answer:

Here,

Given:

Area of a square- 264 sq. cm

To find:

1. The length ( side)

2.Perimeter.

Solution :

Now,

Let the side of the square be x cm.

according to the formula for finding the area of a square:

Area= side× side

264= x× x

264= x^2

√264= x

16.2481= x

16.25= x

hence,

Length= side= 16.25 cm.

Now,

Perimeter of a square:

= 4× side

= 4× 16.25

= 65

Hence,

perimeter of the square= 65 cm

Step-by-step explanation:

I hope I helped you

Answer:

Tax Amount: $6.40

Tax rate: 4.32%

Step-by-step explanation:

1. To get the tax amount, subtract the cost of the product from the selling price.

$154.40-$148.00 = $6.40

2. Divide the tax amount by the cost of the item.

6.40 ÷ 148=0.0432

3. Multiply by 100

0.0432 × 100 = 4.32%

It's the last one

Because its one fourth of the original ones minus the original giving you the answers -3, 4.5, -1.5, 1.5, 3, -1.5, 3 and 3 again.

The derivative of the given function using product rule is 6x+1 .

What is Product Rule?

This rule is used when we want to differentiate a function that may be regarded as the product of one or more functions.

Let u(x) and v(x) be differentiable functions.Then the product of the functions u(x)v(x) is also differentiable and: (uv)′=u′v+uv′

Main Body:

We add the derivative of the first times the second to the first times the

derivative of the second.

Power Rule:

If f(x)=xn

where n is any real number, then:

(xⁿ)′=nxⁿ⁻¹

. We have,

f(x) = (x-1) (3x+4)

Differentiate with respect to z by using product rule

(uv)′=u′v+uv′

h' (x) = (x-1)' (3x+4) +(x-1)(3x+4)'

h'(X) = 1(3x+4) + (x-1) (3)

On simplifying:

h'(x) = 3x+4 +3x-3

h'(x) = 6x +1

Hence the derivative of function is 6x+1.

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If it is arithmetic, find the common difference d; if it is geometric, find the common ratio r then thehe given sequence {3n - 5} is arithmetic, with a common difference of 3.

To determine whether the given sequence is arithmetic, geometric, or neither, we need to look at the pattern of the numbers. For an arithmetic sequence, there is a constant difference between each term. For example, in the sequence 2, 5, 8, 11, 14, the difference between each term is 3.

For a geometric sequence, there is a constant ratio between each term. For example, in the sequence 2, 6, 18, 54, 162, the ratio between each term is 3. Looking at the given sequence {3n - 5}, we can see that there is a common factor of n, which makes it a bit tricky to determine the pattern. However, we can still try to find a common difference or ratio by looking at the differences between terms.

Starting with the first two terms:
n=1: 3(1) - 5 = -2
n=2: 3(2) - 5 = 1

The difference between these terms is 3.
Continuing on:
n=3: 3(3) - 5 = 4
n=4: 3(4) - 5 = 7
The difference between these terms is also 3.
So we can conclude that the sequence is arithmetic, with a common difference of 3.

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Answer:

For 1 it's 9/16 as a slope and for 2 it's -11/8

Step-by-step explanation:

Use the slope formula

y2-y1/x2-x1

Answer:

1) 3/4

2) -11/8

pls mark brainliest if possible

Step-by-step explanation:

slope = rise/run = (y2-y1)/(x2-x1)

choose y2 and the corresponding x-coordinate is x2. then the others are the 1's.

1) let's use -3 as y2 which means:

x2 = 8

y1 = -12

x1 = -4

plug in values:

(-3-(-12))/(8-(-4))

= 9/12

= 3/4

2) let's use -6 as y2 which means:

y1 = 5

x1 = -6

x2 = 2

plug in values:

(-6-5)/(2-(-6))

= -11/8

The points that lies on the same line are (-3, 12), and, (-1, 4).

Here, we have,

The given coordinate points are (-2, 8) and (5,-20).

Here, slope (m)= 8+20/-2-5

= 28/-7

=-4

Substitute m= -4 and (x, y)=(-2,8) in y=mx+c, we get

8 = 8+c

or, c = 0

So, the equation of a line is y= -4 x

Now,

(-6, -2) in the given equation is -2=-4 (-6)

-2≠ 24

(-3, 12)  in the given equation is y= -4 x

12 = 12

(4, 16) in the given equation is y= -4 x

16 ≠ -16

(0, 6) in the given equation is y= -4 x

6 ≠ 0

(-1, 4) in the given equation is y= -4 x

4 = 4

(7,5) in the given equation is y= -4 x

5 ≠ -28

Therefore, the points that lies on the same line are (-3, 12), and, (-1, 4).

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Answer:

I think it's A (parallel)

Answer:

A. its parallel

Step-by-step explanation:

all angles are equal... two sides are perpendicular and two are parallel

the two points are

A(4,56) and B(5,70)

so, the linear equation is

thus, the equation is

y = 14x + 0

so we can put 14 in first place and 0 in second

In 7 years, the population of the town will reach 24600.

Formula for population growth can be expressed as;

N = N₀ × e^(rt)

Where N is the future population, N₀ is the initial population, t is time and r is rate of growth.

Given the data in the question;

First, convert the rate from percent to decimal.

Growth rate r = 3%

Growth rate r = 3/100

Growth rate r = 0.03

Now, plug the given values into the above  population growth formula and solve for t.

N = N₀ × e^(rt)

t = ln( N/N₀ ) / r

t = ln( 24600 / 15000  ) / 0.03

t = 17 years.

Therefore, the time required is 7 years.

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Answer:

13

Step-by-step explanation:

The zeros of the function F(x) = -(x+6)^2 - 49 are -6 - 7i and -6 + 7i.

To find the zeros of the function F(x) = -(x+6)^2 - 49, we need to find the values of x when F(x) = 0.
Step 1: Set the function equal to 0.
0 = -(x+6)^2 - 49
Step 2: Isolate the squared term.
49 = -(x+6)^2
Step 3: Divide both sides by -1 to remove the negative sign.
-49 = (x+6)^2
Step 4: Take the square root of both sides.
√(-49) = x+6
Since the square root of a negative number is a complex number (involving an imaginary unit 'i'), there are no real zeros for this function. The zeros are complex and can be written as:
Lesser x = -6 - 7i
Greater x = -6 + 7i
Your answer: The zeros of the function F(x) = -(x+6)^2 - 49 are -6 - 7i and -6 + 7i.

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Debbie can buy a maximum of 4 t-shirts with the remaining $38 after purchasing the $22 jeans.

To determine the greatest number of t-shirts Debbie can buy, we need to find out how much money she will have left after purchasing the pair of jeans. Debbie has $60 to spend and the jeans cost $22. Therefore, she will have $60 - $22 = $38 left to spend on t-shirts.

Each t-shirt costs $8, so we divide the remaining amount by the cost per t-shirt: $38 / $8 = 4.75.

Since Debbie cannot buy a fraction of a t-shirt, we round down the decimal value to the nearest whole number. Therefore, Debbie can buy a maximum of 4 t-shirts with the remaining $38.

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Answer:

9.318x10^7

Step-by-step explanation:

(9.3 * 10^6) + (1.8 * 10^4)

simplify in paranthesis

(9.3x10^7)+(1.8x10^5)

add 9.3x10^7 and 1.8x10^5

9.318x10^7

The sum of the numbers 9.3 × 10⁶ and 1.8 × 10⁴ in scientific notation will be 931.8 × 10⁴.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The numbers are given below.

9.3 × 10⁶ and 1.8 × 10⁴

The sum of the numbers 9.3 × 10⁶ and 1.8 × 10⁴ will be

⇒ 9.3 × 10⁶ + 1.8 × 10⁴

⇒ 930 × 10⁴ + 1.8 × 10⁴

⇒ 931.8 × 10⁴

The sum of the numbers 9.3 × 10⁶ and 1.8 × 10⁴ in scientific notation will be 931.8 × 10⁴.

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The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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Answer:

See below:

Step-by-step explanation:

1) Draw a ray starting at 1 with an inclusive dot going right.

2) Draw a ray without an inclusive dot going downward.

The standard deviation for this sample data set is 1.93.

What is deviation ?

Deviation refers to the difference between an individual value or observation and the average or mean value of a set of data. It can also refer to the extent to which a variable or set of data deviates from a standard or expected value.

To calculate the standard deviation for a sample data set, we first need to find the mean (average) of the data. In this case, the mean of the data set {5, 7, 6, 9, 6, 4, 4, 6, 5, 2, 5} is 5.45.

Once we have the mean, we can calculate the variance by taking the average of the squared differences between each data point and the mean. The variance is given by:

(1/n) * Σ(x_i - mean)^2

where n is the number of data points and x_i is the i-th data point.

The variance for this data set is 3.70.

Finally, we take the square root of the variance to get the standard deviation.

So, the standard deviation for this sample data set is 1.93.

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The  \($\vec{a}=\langle2,3\rangle$\) and \(\vec{b}=\langle-4,\frac{8}{3}\rangle$\)  are orthogonal.So, the value of k is 8/3.

A quantity or phenomenon with separate characteristics for both magnitude and direction is called a vector. The word can also refer to a quantity's mathematical or geometrical representation. Velocity, momentum, energy, electromagnetic fields, and weight are a few examples of vectors in nature.

Two vectors are orthogonal if and only if their dot product is zero. Therefore, we need to find the value of k such that the dot product of \($\vec{a}$\) and\($\vec{b}$\) \($\vec{b}$\)\(\vec{b}\) is zero.

The dot product of \($\vec{a}$\) and \($\vec{b}$\) is given by:

\($$\vec{a} \cdot \vec{b} = (2)(-4) + (3)(k) = -8 + 3k$$\)

For the vectors to be orthogonal, their dot product must be zero, so we set -8 + 3k = 0 and solve for k:

-8 + 3k = 0

3k = 8

\($k = \frac{8}{3}$$\)

Therefore, \($\vec{a}=\langle2,3\rangle$\) and \(\vec{b}=\langle-4,\frac{8}{3}\rangle$\)  are orthogonal.So, the value of k is 8/3.

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Answer: 23. Since 115>90, ∠P is obtuse.

24. Max can only either pass or repeat the class. He can not do both.

Answer:

x=106/157

Step-by-step explanation:

Answer:

x=10/13

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the next 3 terms in this geometric sequence, we need to first find the common ratio (aka the number you multiply in to get from one term in the sequence to the next). We find that if we multiply 54 by 3, we get to 162. If we multiply 162 by 3, we get to 486. Therefore, our common ratio is 3. Continuing on with this process,

486*3=1458

1458*3=4374

4374*3=13122

The next three terms in each geometric sequence 54, 162, 486 are 1458, 4374, and 13122.

The sequence given is a geometric sequence, which means that each term is obtained by multiplying the previous term by a constant factor. To determine the next three terms in the sequence, we must first determine the common ratio (r) by dividing any term by its preceding term:

r = 162/54 = 3

Similarly, r = 486/162=3

We can use this common ratio to find the next three terms:

To find the fifth term, we multiply the fourth term by the common ratio: 486 x 3 = 1458.

To find the sixth term, we multiply the fifth term by the common ratio: 1458 x 3 = 4374.

To find the seventh term, we multiply the sixth term by the common ratio: 4374 x 3 = 13122.

Therefore, the next three terms in the sequence are 1458, 4374, and 13122.

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The volume of the cube can be expressed as a function of m using the equation V = 85184 + 262464m + 261624m^2 + 287496m^3.

To express the volume of the cube as a function of m, we need to first find the equation that relates the edge length to the volume. The volume of a cube is given by V = s^3, where s is the length of the cube's edge.

Given that the edge is increasing at a rate of 66 feet per minute, we can express the edge length as s = 44 + 66m, where m is the number of minutes elapsed.

Now, substitute this expression for s into the volume formula:

V = (44 + 66m)^3.

Expanding this equation, we have V = 44^3 + 3 * 44^2 * 66m + 3 * 44 * (66m)^2 + (66m)^3.

Therefore, the volume of the cube as a function of m is V = 85184 + 262464m + 261624m^2 + 287496m^3.

In conclusion, the volume of the cube can be expressed as a function of m using the equation V = 85184 + 262464m + 261624m^2 + 287496m^3.

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The forecasted value of xt1 in the given AR(1) model with a mean of 0, rho(2) = 0.215, rho(3) = -0.100, and xt = -0.431 is -0.073.

The AR(1) model is defined as xt = ρ * xt-1 + εt, where ρ is the autocorrelation coefficient and εt is the error term. In this case, the autocorrelation coefficient rho(2) = 0.215 is the correlation between xt and xt-2, and rho(3) = -0.100 is the correlation between xt and xt-3.

To calculate the forecasted value of xt1, we need to substitute the given values into the AR(1) equation. Since xt is given as -0.431, we have:

xt = ρ * xt-1 + εt

-0.431 = 0.215 * xt-1 + εt

Solving for xt-1, we find:

xt-1 = (-0.431 - εt) / 0.215

To calculate xt1, we substitute xt-1 into the AR(1) equation:

xt1 = ρ * xt-1 + εt+1

xt1 = 0.215 * [(-0.431 - εt) / 0.215] + εt+1

xt1 = -0.431 - εt + εt+1

Since we do not have information about εt or εt+1, we cannot determine their exact values. Therefore, the forecasted value of xt1 is -0.431.

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