Write the next three terms of the geometric sequence.

Answer:

Step-by-step explanation:

3×(5)^2 - 4×2 + 2×2×5

3×(5)^2 - 4×2 + 2×2×53×25 - 8 + 20

3×(5)^2 - 4×2 + 2×2×53×25 - 8 + 2075 + 20 - 8

3×(5)^2 - 4×2 + 2×2×53×25 - 8 + 2075 + 20 - 8 95-8

3×(5)^2 - 4×2 + 2×2×53×25 - 8 + 2075 + 20 - 8 95-887

Given :

Each morning a gardener uses 25 gallons of water from a barrel.

Each afternoon, she adds 15 gallons of water to the barrel.

To Find :

By how much has the volume of water in the barrel changed after 5 days.

Solution :

Amount of of water used from the barrel per day is :

A = 25 - 15 gallons

A = 10 gallons

Now, volume of water in the barrel changed after 5 days is :

V = A × 5 gallons

V = 10 × 5 gallons

V = 50 gallons

Therefore, volume of water in barrel is changed by 50 gallons.

Answer:

-2m -12n

Step-by-step explanation:

-8m -8n +6m-4n

Step-by-step explanation:

= -8m-8n+6m-4n

= -8m+6m-8n-4n

= -2m-12n

hope it helps.

Answer:

It should be a reflection.

Step-by-step explanation:

A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane.

Answer:

The maximum height attained by the rocket is 240.1 m.

Step-by-step explanation:

The height above the ground is a function of time t is given by :

[tex]h= -4.9t^2 + 68.6t[/tex] ...(1)

We need to find the maximum height of the model. First we find the time of max height using axis of symmetry of the equation as follows :

[tex]x=\dfrac{-b}{2a}[/tex]

We have, a = -4.9 and b = 68.6

So,

[tex]t=\dfrac{-(68.6)}{2\times -4.9}\\\\=7\ s[/tex]

Put t = 7 in equation (1)

[tex]h= -4.9(7)^2 + 68.6(7)\\\\=240.1\ m[/tex]

So, the maximum height attained by the rocket is 240.1 m.

Answer: Slope: -1    Y-intercept: -4

Step-by-step explanation:

Slope formula:

[tex]m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

[tex]m=\frac{-13 -(-6)}{9-2}= m=\frac{-13 + 6}{9-2}[/tex]  

[tex]m=\frac{-7}{7\\}[/tex]

m = -1

When you draw this on the graph, the y-intercept is -4.

y = -4

Hey there!

“What is -12.41 as a simplest form fraction?”

• 12.41 / 1 which equals 12.41

• You have to MULTIPLY to REMOVE your TWO decimal area. You have to MULTIPLY the NUMERATOR and the DENOMINATOR BY 100

• 12.41/1 × 100/100

• CROSS MULTIPLY

12.41 × 100/1 × 100

12.41 × 100 = 1,241 ⬅️ Numerator

1 × 100 = 100 ⬅️ Denominator

= 1,241/100

• SIMPLIFY your IMPROPER FRACTION and you have your ANSWER

1,241/100 = 12 41/100

POSSIBLE ANSWER: –12 41/100 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

The area of the polygon is 92.75 cm^2

Step-by-step explanation:

To find the area of the polygon, we simply add up the areas of the constituent triangles

At any point in time;

Area of a triangle = 1/2 * base * height

So we proceed as follows;

(1/2 * 12 * 4.5) + (1/2 * 12 * 5)

= 27 + 30 = 57 cm^2

There is a last triangle with 12 cm and 5 cm as the sides and we need the length of the hypotenuse

The length of the hypotenuse for that triangle will be 13 cm. This is because 5,12 and 13 are Pythagorean triple and they form the sides of a right-angled triangle

So for the last triangle, the area will be;

1/2 * 13 * 5.5 = 35.75 cm^2

So the total area is;

35.75 + 57 = 92.75 cm^2

Answer:

Total cost= 15.25*[(12*3)/8]

Step-by-step explanation:

The expression would be:

Total cost= 15.25*[(12*3)/8]

Prove:

Number of slices= 12 people*3 slices

Number of slices= 36

Number fo pizzas= number of slices/8

Number of pizzas= 36/8

Number of pizzas= 4.5 = 5 pizzas

Now, the total cost:

Total cost= number of pizzas*unitary cost

Total cost= 5*15.25

Total cost= $76.25

Answer: 2. a colorful fusion of Arab and Christian customs, art, and religious practices.

Step-by-step explanation:

My history teacher mentioned this in class.

Answer:

An equation of the line that passes through the point (6,−4) and is perpendicular to the line will be:

Step-by-step explanation:

We know that the slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept

Given the line

[tex]2x-y=5[/tex]

converting the line into slope-intercept form

y = 2x-5

comparing with the slope-intercept form of the line equation

The slope of the line = m = 2

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = 2

Thus, the equation of new line = – 1/m = -1/2 = -1/2

using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values of the slope = -1/2 and the point (6,−4)

[tex]y-\left(-4\right)=-\frac{1}{2}\left(x-6\right)[/tex]

[tex]y+4=-\frac{1}{2}\left(x-6\right)[/tex]

Subtract 4 from both sides

[tex]y+4-4=-\frac{1}{2}\left(x-6\right)-4[/tex]

[tex]y=-\frac{1}{2}x-1[/tex]

Therefore, an equation of the line that passes through the point (6,−4) and is perpendicular to the line will be:

An equation of the line  that passes through the point (6,−4) and is perpendicular to the line 2x−y=5 is [tex]y=-\frac{1}{2}x-1[/tex]

Given:

An equation of the line that passes through the point (6,−4) and is perpendicular to the line 2x−y=5

First we find the slope of given equation 2x-y=5

y=mx+b is the equation of the line . where 'm' is the slope

[tex]2x-y=5\\2x-5=y\\y=2x-5[/tex]

Slope m=2.

Slope of perpendicular lines are negative reciprocal of one another

Slope of perpendicular line is [tex]-\frac{1}{2}[/tex]

The line passes through the point (6,-4)

Use the point and slope to get the equation of the perpendicular line

slope m = [tex]-\frac{1}{2}[/tex]

Point slope form of line is

[tex]y-y_1=m(x-x_1)\\y+4=-\frac{1}{2}(x-6)\\y+4=-\frac{1}{2}x+3\\y=-\frac{1}{2}x-1[/tex]

An equation of the line  that passes through the point (6,−4) and is perpendicular to the line 2x−y=5 is [tex]y=-\frac{1}{2}x-1[/tex]

Learn more : brainly.com/question/19864665

Answers:

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

Explanation:

The piecewise function f(x) changes based on what the input is.

We have two cases:

The input x = -3 satisfies the inequality [tex]x \le 4[/tex], so we go with case B for this input

f(x) = 2x

f(-3) = 2(-3)

f(-3) = -6

In contrast, the input x = 7 satisfies the inequality x > 4. So we go for case A this time.

f(x) = 3x-1

f(7) = 3(7)-1

f(7) = 21-1

f(7) = 20

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

Side note: It might be better to let g(x) = 3x-1 and h(x) = 2x. Then we could further say "If x > 4, then f(x) = g(x) OR if [tex]x \le 4[/tex], then f(x) = h(x)". Though this might be a more wordy definition.

Answer:

1140

Step-by-step explanation:

A decagon has 10 sides so substitute it like this:

(n-2) x 180

(10-2) x 180

8 x 180= 1140

P^12-2t^7-7r^2-1

p^10r

you just substracting

Answer: 79.38

Step-by-step explanation:

The number of strawberry baskets sold was 44

Step-by-step explanation:

Let

x ----> the number of strawberry baskets sold

y ---> the number of raspberries baskets sold

we know that

In one morning, Katya sells 96 baskets for $644

so

----> equation A

---> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (44.52)

see the attached figure

therefore

The number of strawberry baskets sold was 44 and the number of raspberries baskets sold was 52

Hope i helped! :)

Answer:

Hence the simplified form has has 1 term and a degree of 4

Step-by-step explanation:

Given the expression

3j⁴k - 2jk³+jk³-2j⁴k+jk³

Collect like terms

= 3j⁴k-2j⁴k- 2jk³+jk³+jk³

= j⁴k- 2jk³+jk³+2jk³

= -j⁴k-2jk³+2jk³

= - jk⁴

Hence the simplified form has has 1 term and a degree of 4

Answer:

It has 1 term and a degree of 5.

Step-by-step explanation:

Answer: I hope I got it right. You can mark brainliest if you want. I don't really care.

Step-by-step explanation:

Well, it seems that for every week, Pragitha swims x + 2 laps. So if she swims x + 2 laps twice, she will get 2x + 4. So x is equal to 4. You add that four and you get three x. So for one week, she swims x + 2 laps and for the second lap, she swims 2x + 4. Which according to the table, is equal to 3x. So for 3 weeks, she clearly swims less, because maybe she's tired or something. So it's 2x+1. And for week 4, it's week one and week 2 combined.

The expression on the other hand is

10x + 9

Answer:

The expression equivalent to 8 - (6r + 2) is -6r + 6 ⇒ A

Step-by-step explanation:

Let us solve the question

∵ The expression is 8 - (6r + 2)

→ Multiply the bracket by (-)

∵ (-) × (+) = (-)

∴ 8 - (6r + 2) = 8 - 6r - 2

→ Add the like terms

∵ 8 - (6r + 2) = (8 - 2) - 6r

∴ 8 - (6r + 2) = 6 - 6r

→ Switch the terms

∴ 8 - (6r + 2) = -6r + 6

∴ The expression equivalent to 8 - (6r + 2) is -6r + 6

Answer:

(- 1, - 3 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) partitioned in the ratio m : n

Then using the Section formula the coordinates of the point are

( [tex]\frac{nx_{1}+mx_{2} }{m+n}[/tex], [tex]\frac{ny_{1}+my_{2} }{m+n}[/tex] )

Here (x₁, y₁ ) = (- 4, - 9), (x₂, y₂ ) = (1, 1) and m : n = 3 : 2 , then

( [tex]\frac{2(-4)+3(1)}{3+2}[/tex] , [tex]\frac{2(-9)+3(1)}{3+2}[/tex] )

= ( [tex]\frac{x}{y} \frac{-8+3}{5}[/tex], [tex]\frac{-18+3}{5}[/tex] )

=  ( [tex]\frac{-5}{5}[/tex], [tex]\frac{-15}{5}[/tex] )

= ( - 1, - 3 )

Answer:

(-1 , -3)

Step-by-step explanation

For unknown reason, I can't save the explanation in this space. It's detailed in the attachment

Answer:

Step-by-step explanation:

Simplifying

(9x + 5) + -1(4x + 3) = 0

Reorder the terms:

(5 + 9x) + -1(4x + 3) = 0

Remove parenthesis around (5 + 9x)

5 + 9x + -1(4x + 3) = 0

Reorder the terms:

5 + 9x + -1(3 + 4x) = 0

5 + 9x + (3 * -1 + 4x * -1) = 0

5 + 9x + (-3 + -4x) = 0

Reorder the terms:

5 + -3 + 9x + -4x = 0

Combine like terms: 5 + -3 = 2

2 + 9x + -4x = 0

Combine like terms: 9x + -4x = 5x

2 + 5x = 0

Solving

2 + 5x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.

2 + -2 + 5x = 0 + -2

Combine like terms: 2 + -2 = 0

0 + 5x = 0 + -2

5x = 0 + -2

Combine like terms: 0 + -2 = -2

5x = -2

Divide each side by '5'.

x = -0.4

Simplifying

x = -0.4

easy boy

Answer:

Answer: A

Step-by-step explanation:

The cos(theta) = adjacent / hypotenuse

The cos(theta) = 4/5

cos(theta) = 0.8

theta = cos^-1 (0.8)

theta = 36.9

theta = A

Answer:

Step-by-step explanation:

Trapezoid area formula:

Substitute values:

Given:

[tex]\sf \dfrac{a\ -\ 3b}{a\ +\ 2b}\ =\ \dfrac{4}{3}[/tex]

To find: The value of a:b.

Answer:

[tex]\sf \dfrac{a\ -\ 3b}{a\ +\ 2b}\ =\ \dfrac{4}{3}[/tex]

Cross-multilpying,

[tex]\sf 3\ \times\ (a\ -\ 3b)\ =\ 4\ \times\ (a\ +\ 2b)\\\\3a\ -\ 9b\ =\ 4a\ +\ 8b[/tex]

Bringing the like terms together,

[tex]\sf 3a\ -\ 4a\ =\ 8b\ +\ 9b\\\\\\-a\ =\ 17b\\\\\\\dfrac{-a}{b}\ =\ 17\\\\\\\dfrac{a}{b}\ =\ -17[/tex]

Therefore, a:b = -17.

Answer:

Step-by-step explanation:

[tex]\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

(3, 4)    ⇒   x₁ = 3,  y₁ = 4

(7, -4)    ⇒   x₂ = 7,  y₂ = -4

So the slope:

                    [tex]\bold{m=\dfrac{-4-4}{7-3}=\dfrac{-8}4=-2}[/tex]

2 is the slope of the passing through points (3,4) and (7,-4).

The slope of a line is a number that describes both the direction and the steepness of the line.

Given that a line is passing through the points  (3,4) and (7,-4).

Slope = ([tex]y_{2}[/tex] - [tex]y_{1}[/tex])/([tex]x_{2}[/tex] - [tex]x_{1}[/tex])

Therefore, slope = (-4-4)/(7-3) =-8/-4 = 2

Hence, 2 is the slope of the passing through points (3,4) and (7,-4).

For more references on Slope, click;

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