2)
A line passes through the points (0.5) and (-6,3). A second line passes through
(-15, 0) and (-21, -2).
A) Do the lines intersect? Show work to prove it! Grcle YES or
NO

180°

Answer:

A high 3P% indicates that the player is an accurate shooter from the three-point line, making them a scoring threat and potentially creating spacing on the floor for their team.

Step-by-step explanation:

1. The Taylor series for f(x) centered at 4 if \(f(x) = \sum_{n=0}^{Infinity}(n+3)(x-4^n)/(n+1)!2)\) is \(f(23.4) = \sum_{n=0}^{Infinity}(n+3)(23.4-4^n)/(n+1)!\)

2. The Taylor series for f(x) centered at the given value of a is f(x) = -4 + 2(x+2) - (2/3)(x+2)² + (4/3)(x+2)³ - ...

1.  To find the Taylor series for f(x) centered at 4, we need to first find the derivatives of f(x):

\(f(x) = \sum_{n=0}^{Infinity}(n+3)(x-4^n)/(n+1)!f'(x) = \sum_{n=1}^{Infinity}(n+2)(x-4^{n-1})/n!\\f''(x) = \sum_{n=2}^{Infinity}(n+1)(x-4^{n-2})/(n-1)!\\f'''(x) = \sum_{n=3}^{Infinity}(n)(x-4^{n-3})/(n-2)!\\\)

and so on. Note that for all derivatives of f(x), the constant term is zero.

Now, to find f(23.4), we can substitute x = 23.4 into the Taylor series for f(x) centered at 4 and simplify:

\(f(x) = \sum_{n=0}^{Infinity}(n+3)(x-4^n)/(n+1)!\\f(23.4) = \sum_{n=0}^{Infinity}(n+3)(23.4-4^n)/(n+1)!\)

The series converges by the Ratio Test, so we can evaluate it numerically to find f(23.4).

2. To find the Taylor series for f(x) centered at a = -2, we can use the formula:

\(f(x) = \sum_{n=0}^{Infinity}f^{(n)}(a)/(n!)(x-a)^n\)

where f^{(n)}(a) denotes the nth derivative of f(x) evaluated at a.

First, we find the derivatives of f(x):

f(x) = 8/x

f'(x) = -8/x²

f''(x) = 16/x³

f'''(x) = -48/x⁴

and so on. Note that all derivatives of f(x) have a factor of 8/x^n.

Next, we evaluate each derivative at a = -2:

f(-2) = -4

f'(-2) = 2

f''(-2) = -2/3

f'''(-2) = 4/3

and so on.

Finally, we substitute these values into the formula for the Taylor series to obtain:

f(x) = -4 + 2(x+2) - (2/3)(x+2)² + (4/3)(x+2)³ - ...

Note that the radius of convergence of this series is the distance from -2 to the nearest singularity of f(x), which is x = 0. Therefore, the radius of convergence is R = 2.

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Answer:

( 9, -12 )

Step-by-step explanation:

Mario's Math Tutoring

you have the midpoint

2, -5

use the midpoint formula

(x1+x2)/2 , (y1+y2)/2

to get the endpoint

x :

(-5+x2)/2 = 2

(-5+x2) = 4

-5+x2 = 4

x2 = 9

y:

(2+y2)/2 = -5

(2+y2) = -10

2+y2 = -10

y2 = -12

Thank you Mario!

Answer:

(x * x) * (x * x) * (x * x) * (x * x)

Step-by-step explanation:

(y^4) is the same thing as y * y * y * y

so for y = (x^2), we can write (x^2)^4 as:

(x^2) * (x^2) * (x^2) * (x^2)

and each (x^2) is just x * x

so, this is how you can write it!

(x * x) * (x * x) * (x * x) * (x * x)

Answer:

x+x+x+x+x+x+x+x or xxxx*xx or x*x  x*x  x*x  x*x

Step-by-step explanation:

Answer:

7427.9 cubic inches. Depending on how accurate your answer is supposed to be, this answer might be wrong (for example, if they ask you to use 3.14 for pi.)

Step-by-step explanation:

The formula for the volume of a hemisphere is (2/3)πr³.

(2/3)π(15.25)³

=(2/3)π(61/4)³

.=7427.93585525

Rounded to the nearest tenth, this is 7427.9 cubic inches.

Answer:

C = 32

Step-by-step explanation:

The numbers are in the ratio 7 : 2 : 4 = 7x : 2x : 4x ( x is a multiplier ) , then

7x + 2x + 4x = 104

13x = 104 ( divide both sides by 13 )

x = 8

Thus C = 4x = 4 × 8 = 32

\(3^5 \cdot 2^{-6}=\dfrac{3^5}{2^6}=\dfrac{243}{64}\)

\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ P1(\stackrel{x_1}{1}~,~\stackrel{y_1}{3})\qquad P2(\stackrel{x_2}{6}~,~\stackrel{y_2}{8}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 6 +1}{2}~~~ ,~~~ \cfrac{ 8 +3}{2} \right) \implies \left(\cfrac{ 7 }{2}~~~ ,~~~ \cfrac{ 11 }{2} \right)\implies \left(3\frac{1}{2}~~,~~5\frac{1}{2} \right)\)

Answer:

$21.81

Step-by-step explanation:

add the reduced number to the new number

Answer:

21.81

Step-by-step explanation:

add 1.05 to 20.76

Answer:

8/27

Step-by-step explanation:

Given:

In a class of 27 students, 18 are female and 8 have an A in the class. There are 2 students who are female and have an A in the class.

To Find:

What is the probability that a student chosen randomly from the class has an A?

Solve:

Given:

Total : 27

Female : 18

A : 8

A Female : 2

Therefore,

8/27

Kavinsky

Answer:

Round and round x2

Step-by-step explanation:

like a song hope this helps.

Answer: The choice with the two equivalent expressions is B.

Step-by-step explanation:

Here's how I got my answer:

Do each equation carefully and be sure to pay attention to the order of the multiplication, subtraction, addition, parentheses and division signs. Since B. is just the Associative Property (it means that it has been grouped in a different way) then it is the same as the first equation.

Therefore, the original number is 10x + y = 10(10) + 7 = 107.

Given that the sum of the digits is seventeen, we have the equation:

x + y = 17 (equation 1)

The number with the digits reversed is thirty more than 5 times the tens' digit of the original number. The number with the digits reversed would be 10y + x.

According to the given information, we have the equation:

10y + x = 5x + 30 (equation 2)

To solve the system of equations, we can substitute equation 1 into equation 2:

10(17 - x) + x = 5x + 30

Expanding and simplifying:

170 - 10x + x = 5x + 30

170 - 30 = 5x + 10x - x

140 = 14x

x = 10

Substituting the value of x back into equation 1:

10 + y = 17

y = 7

Therefore, the original number is 10x + y = 10(10) + 7 = 107.

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Answer:

The correct answer is A (x+1)(7x-10).  

Step-by-step explanation:

To determine the dimensions of a rectangular poster that will cover an area represented by 7x² + 3x - 10, we need to find the factors of the expression 7x² + 3x - 10 that will give us the length and width of the poster.

One way to do this is to factor the expression 7x² + 3x - 10 using the difference of squares method. We can write the expression as follows:

7x² + 3x - 10 = (7x² + 3x) - 10

To factor (7x² + 3x) - 10, we can write the expression as the difference of squares:

(7x² + 3x) - 10 = (7x² + 3x + 10) - (10 + 10)

To simplify the expression, we can complete the square for the terms in parentheses:

(7x² + 3x + 10) - (10 + 10) = (7x² + 3x + 10) - 20

To complete the square, we need to add and subtract the square of half the coefficient of the x term, which is (3/2)² = 9/4. We can rewrite the expression as follows:

(7x² + 3x + 10) - 20 = (7x² + 3x + 10 + 9/4) - (20 - 9/4)

To simplify the expression, we can factor the terms in parentheses:

(7x² + 3x + 10 + 9/4) - (20 - 9/4) = [(7x² + 3x + 10 + 9/4) - (20 - 9/4)]

To simplify the expression further, we can factor out a common factor:

[(7x² + 3x + 10 + 9/4) - (20 - 9/4)] = (x + 1)(7x - 10)

From the given options, the expression that represents the area of the rectangular poster is (x+1)(7x-10), which is equivalent to 7x² + 3x - 10. We can verify this by multiplying (x+1)(7x-10) to get 7x² + 3x - 10. Therefore, the correct answer is A (x+1)(7x-10).

The total area formed by the two congruent trapezoids in this problem is given as follows:

48 m².

The area of a trapezoid is obtained adding the bases, multiplying by the height, and dividing by 2.

For the two congruent trapezoids in this problem, the parameters are given as follows:

Considering that there are two trapezoids, teh total area is given as follows:

A = 2 x 1/2 x (3 + 9) x 4

A = 12 x 4

A = 48 m².

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Answer:

She is 40 years of age

Step-by-step explanation:

Let Joaquin age be j

Let Marjorie age be m

From the first part of the question;

j = 4 + m/2

Secondly;

m =3j - 32

Multiply equation i through by 2

2j = 8 + m

m = 2j-8

Equate both m

2j-8 = 3j-32

3j-2j = 32 -8

j = 24

m = 2j-8

m = 2(24)-8

m = 48-8

m = 40

The perimeter : (a) 42 ft

                           (b) 42 ft

                           (c) 14.04 m

                           (d) 48 m

                           (e) 1818 cm

What is Perimeter?

In geometry, the perimeter is the total length of the boundary or the outer edge of a two-dimensional shape, such as a polygon. It is the addition of the lengths of all sides of the shape. The perimeter is measured in units of length, such as meters or feet.

(a) Rectangle with sides of 10 ft and 11 ft:

Perimeter = 2(10 ft) + 2(11 ft) = 20 ft + 22 ft = 42 ft

(b) Rectangle with sides of 11 ft and 10 ft:

Perimeter = 2(11 ft) + 2(10 ft) = 22 ft + 20 ft = 42 ft

(c) Rectangle with sides of 2.9 m and 4.12 m:

Perimeter = 2(2.9 m) + 2(4.12 m) = 5.8 m + 8.24 m = 14.04 m

(d) Square with sides of 12 m:

Perimeter = 4(12 m) = 48 m

(e) Rectangle with sides of 9 cm and 9 m:

Since the sides are in different units, we need to convert one of them to the other unit. Let's convert 9 m to cm:

9 m = 900 cm

Perimeter = 2(9 cm) + 2(900 cm) = 18 cm + 1800 cm = 1818 cm

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Answer:

The coordinate of the image of a point is (2, +3) under the translation (x , y) → (x - 2),( y + 3). Find the coordinate of the preimage.

We are just looking for x and y and we know (2, +3) → (x - 2, y + 3)

2 = x - 2

x = 4

-3 = y + 3

y = -6

(x , y) = (4, -6)

How to find a 

Answer:

The range of this set of numbers is 9

Step-by-step explanation:

The range is the greatest number subtracted by the lowest number

in this problem that is 21-12

Answer:

9

Step-by-step explanation:

range = highest number in a set minus the lowest number in a set, in your case:

21 - 12 = 9

Answer: The answer is D. 240 grams

Step-by-step explanation:

1. Find the volume.

2cm×3cm×5cm=30 cubic centimeters

2.  Find the volume of the other box.

4cm×9cm×5cm=180 cubic centimeters.

3. Divide. 180÷30=6

4.  6 times the amount it can hold, 40=240 grams of clay.

Hope that helped!

Answer:

Step-by-step explanation:

we are told that the box is  2 cm high, 3 cm wide 5 cm long  and holds 40 grams of clay

so 2*3*5 = 30 \(cm^{3}\)

so the 30 cubic centimeter volume holds 40 grams  ( it would have been nice if they had let the box hold 30 grams but,  no  :(

40/30 = 1.333333  or 1 and \(\frac{1}{3}\)   of a gram  okay, sooooo now we know each cubic centimeter holds that much clay,  now let's solve for how many cubic centimeters are in the bigger box, you can try to solve it 1st if you'd like to practice,  below I solve it

twice the height  so  2(2)=4 high

3 times the width , so 3(3) = 9 wide

same length,  so  5 long

4*9*5 = 180

180*1.33333333333 = 240 grams of clay in 2nd bigger box  :)

I'm sure there is a funny box joke in there some where :DDDD

do you get the math?  :)

A) Function is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).

b)  The local minimum value of f is; 5608/2197 at x = -42/13, and the local maximum value of f is 139/8 at x = 7/2.

(a) To determine the intervals on which f is increasing or decreasing, we need to determine the critical points and then check the sign of the derivative on the intervals between them.

f(x)=8x³-42x-48x + 4

f'(x) = 24x² - 90

Setting f'(x) = 0, we get

24x² - 90 = 0

24x² = 90

x =±  √3.75

So, the critical points are;

x = -1 and x = 7/2.

We can test the sign of f'(x) on the intervals as; (-∞, -1), (-1, 7/2), and (7/2, ∞).

f'(-2) = 72 > 0, so f is increasing on (-∞, -1).

f'(-1/2) = -25 < 0, so f is decreasing on (-1, 7/2).

f'(4) = 72 > 0, so f is increasing on (7/2, ∞).

Therefore, f is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).

(b) To determine the local maximum and minimum values of f, we need to look at the critical points and the endpoints of the interval (-1, 7/2).

f(-1) = -49

f(7/2) = 139/8

f(-42/13) = 5608/2197

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Answer:

look above

Step-by-step explanation:

hopeit hepls

Step-by-step explanation:

The two numbers of seven less than 4 times the square of a number is 18 are -5/2 and 5/2

Let the unknown number be "x"

If the resulting expression is 18, this will be expressed as 4x² - 7 = 18

Solving the resulting expression

\(4x^2-7=18\\4x^2= 18+7\\4x^2=25\\x^2=\frac{25}{4}\\x=\pm \frac{5}{2}\)

Hence the two numbers of seven less than 4 times the square of a number is 18 are -5/2 and 5/2

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Based on the number of projects to be done and their length requirements, we can infer that the yards Nima bought were not enough.

There are 3 projects and each will require 3.6 yards. In total, they will require:

= 3 x 3.6

= 10.8 yards

Nima bought only 10.5 yards which means that Nima will be short by:

= 10.8 - 10.5

= 0.3 yards

In conclusion, Nima does not have enough string for all the projects.

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Answer:

\(=-\frac{82}{105}\)

Step-by-step explanation:

\(-\frac{2}{3}+\left[\frac{3}{5}+\left(-\frac{5}{7}\right)\right]\)

\(\frac{3}{5}+\left(-\frac{5}{7}\right)\)

\(=-\frac{4}{35}\)

\(=-\frac{2}{3}-\frac{4}{35}\)

\(=-\frac{82}{105}\)

\(\huge\text{Hey there\bf!}\)

\(\mathsf{-\dfrac{2}{3} + [\dfrac{3}{5} + -\dfrac{5}{7}]}\)

\(\mathtt{= - \dfrac{2}{3} + \dfrac{3}{5} + - \dfrac{5}{7}}\)

\(\mathtt{= - \dfrac{2}{3} + \dfrac{3}{5} - \dfrac{5}{7}}\)

\(\mathtt{-\dfrac{2\times35}{3\times35} + \dfrac{3\times21}{5\times21} - \dfrac{5\times15}{7\times15}}\)

\(\mathtt{= -\dfrac{70}{105} + \dfrac{63}{105}- \dfrac{75}{105}}\)

\(\mathtt{= \dfrac{-70 + 63 - 75}{105 + 0 - 0}}\)

\(\mathtt{= \dfrac{-7 - 75}{105 - 0}}\)

\(\mathtt{= \dfrac{-82}{105}}\)

\(\mathtt{= -\dfrac{82}{105}}\)

\(\huge\text{Therefore your answer should be:}\)

\(\huge\boxed{\mathtt{\mathtt{= -\dfrac{82}{105}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)