What is ∑n=16[4(−5)n−1] equal to?

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The volume of the triangular prism is the amount of space in the prism

The area of the triangular base is: 19 square units

The given parameters are:

Volume = 27.36 cubic units

Height = 2.88 unit

The volume of a triangular prism is:

V = 0.5 * B * h

Where B represents the base area.

So, we have:

[tex]27.36 = 0.5 * B * 2.88[/tex]

[tex]27.36 = B * 1.44[/tex]

Solve for B

[tex]B = 19[/tex]

Hence, the area of the triangular base is: 19 square units

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Answer:

y=-5x+14

Step-by-step explanation:

x-5y=9

x-9=5y

y=[tex]\frac{1}{5}[/tex]x-[tex]\frac{9}{5}[/tex]

The slope for this line is: 1/5

The product of the slopes of any two perpendicular lines equals -1.

So the slope for the perpendicular line will be -5.

The point-slope formula=

Given slope m and a point on the line: (X, Y), the equation of the line will be:

y-Y=m(x-X)

So the equation for the perpendicular should be:

y-4=(-5)(x-2)

Simplify:

y-4=-5x+10

y=-5x+14

Answer:

Step-by-step explanation:

To the nearest tenth, the bag of flour weighs approximately 5.5 pounds.

To convert kilograms to pounds,  use the conversion factor: 1 kilogram ≈ 2.20462 pounds.

Given that the bag of flour weighs 2.5 kilograms,  calculate its weight in pounds as follows:

Weight in pounds = Weight in kilograms × Conversion factor

Weight in pounds = 2.5 kg × 2.20462 (approximately)

Weight in pounds ≈ 5.51155 pounds

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Answer:$67 hope this helps

Step-by-step explanation:

Answer:

x > 3

Step-by-step explanation:

distribute the 7 so parentheses are removed:

21 + 42x > 147

subtract 21 from each side:

42x > 126

x > 126/42

x > 3

Answer:

(a) 4:3

(b) 4:7

Step-by-step explanation:

A) The ratio of boys to girls in the class is; 3:4

B) The ratio of girls to boys in the class is; 4:3

We are given that;

Number of boys in class = 15

Number of girls in class = 20

Thus;

A) Ratio of boys to girls = 15:20

The highest common multiple between both numbers is 5 and so we divide both by 5 to reduce to; 3:4

B) Ratio of girls to boys = 20:15

The highest common multiple between both numbers is 5 and so we divide both by 5 to reduce to; 4:3

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Answer:

19

Step-by-step explanation:

x+y=25 => x=-y+25

x= 2y+7

x=-y+25

x=2y+7

subtract the first equation from the 2nd

0=3y-18

y=6

x=19

Answer:

19 and 6

Step-by-step explanation:

x(the big number) y (the small number)

x=2y+7

x+y=25

2y+7+y=25

3y=18

y=18/3=6

x+6=25

x=25-6=19

Answer:

8/11

Step-by-step explanation:

Let the numerator = x

Denominator =x + 3

Number : [tex]\dfrac{x}{x+3}[/tex]

[tex]\dfrac{x+14}{x+3-3}=\dfrac{11}{4}\\\\\\\dfrac{x+14}{x}=\dfrac{11}{4}[/tex]

Cross multiply,

4*(x +14) = 11*x

4x + 4*14 = 11x

4x + 56 = 11x

Subtract 4x from both sides

56 = 11x - 4x

56 = 7x

7x = 56

Divide both sides by 7

x = 56/7

x = 8

[tex]\dfrac{8}{11}[/tex]

Answer:

27.35

Step-by-step explanation:

I did the messed the on the quiz

Answer:

11/20

Step-by-step explanation:

The backyard is 1 entire area.

The pool is 1/5 of the area.

The deck is 1/4 of the area.

The grass is the remaining area.

The area of the grass is the entire area of the backyard minus the areas of the pool and the deck.

First, we add the areas of the pool and the deck.

1/4 + 1/5 = 5/20 + 4/20 = 9/20

The combined area of the pool and deck is 9/20 of the area of the backyard.

Now we subtract the combined area of the pool and deck from the entire area of the backyard.

1 - 9/20 = 20/20 - 9/20 = 11/20

The grassy area is 11/20 of the backyard.

Answer: 11/20

Answer:

1/2

Step-by-step explanation:

6 - 2 = 4

11 - 3 = 8

so it would be 4/8 which can be simplified into 1/2.

Answer:

1/2

Step-by-step explanation:

To find the slope given two points, we use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. Then, we plug in the values and simplify to get our answer.

Step 1: Plug in values.

Step 2: Simplify.

Therefore, the slope is 1/2.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

x is 26

Step-by-step explanation:

The leaf has a parallel venation so we will assume that

2x+38=90°

2x=90-38

2x=52°

x=26°

I hope this helps . Pls follow me

Answer:

6750

Step-by-step explanation:

First multiply 0.10 by 7500 then take the product and subtract it from 7500.

Answer:

If I'm being completely honest I literally had the answer then I didn't know if it was right so I looked up " what is 10% of 7500" and it said 750. I don't know if this is right but anyways......

Answers:

a) 2 hours and 45 minutes (2:45)

b) 2 hours and 50 minutes (2:50)

c) 2 hours and 20 minutes (2:20)

d) 3 hours and 20 minutes (3:20)

Step-by-step explanation:

Subtract each times.

Replace the 100 value with 60 to represent minutes.

a) 15:20 - 12:35 = 2:45.

b) 13:05 - 10:15 = 2:50.

c) 6:50 - 4:30 = 2:20.

d) 13:15 (1:15 p.m.) - 9:55 = 3:20.

Answer:

The answer is a love

Step-by-step explanation:

I've already took this quiz and my answer was a

Answer:

293.04

Step-by-step explanation:

The one above me is worng sorry i just took the test :p

The ans is 293.04

Thank you have a wonderful day ahead...

Answer:

If you're graphing, the -7 tells you that your line needs to be moved down by 7 units.

Answer:

x=9

Step-by-step explanation:

-5(2x-3)=-3(4x-11)

Multiply to open the brackets,

-10x+15=-12x+33

Keep constants and variables on same sides,

-10x+12x=33-15
2x=18

Divide by 2 on both sides,

2x/x=18/2
x=9

Answer:

x = 9

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−5(2x−3)=−3(4x−11)

(−5)(2x) + (−5)(−3) = (−3)(4x) + (−3)(−11) (Distribute)

−10x + 15 = −12x + 33

Step 2: Add 12x to both sides.

−10x + 15 + 12x = −12x + 33 + 12x

2x+15=33

Step 3: Subtract 15 from both sides.

2x + 15 − 15 = 33 − 15

2x = 18

Step 4: Divide both sides by 2.

2x/2 = 18/2

x=9

Answer:

If you get two different products then you are doing it wrong, so false.

Answer:

Step-by-step explanation:

okay so it’s gonna be 11.400

[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{9})~\hfill \stackrel{slope}{m}\implies 2 ~\hfill \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{2}(x-\stackrel{x_1}{5})[/tex]

Answer:

9:20

Step-by-step explanation:

one hour is 9:30, -10 minutes is 9:20

Answer:

9:20 is the time 50 minutes after 8:30

The reason that best support the statement, 45 + 30 = m ∠ABC is Substitution.

Adjacent angles are two angles that have a common side and a common vertex.

Two adjacent angles can be supplementary or complementary based on the sum of the measures of the individual angles. Therefore,

∠ABD and ∠DBC are adjacent angles.

Therefore,

m ∠ABD  + m ∠DBC = m ∠ABC

∠ABD  = 45°

∠DBC  = 30°

∠ABC = 75°

45 + 30 = m ∠ABC

The reason that best support the statement is substitution. This is because the value of ∠ABD  and ∠DBC are substituted to get ∠ABC. T

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Answer:

$72

Step-by-step explanation:

Let's use substitution to identify the cost of 24 notebooks.

The equation is represented as:

[tex]3x = ?[/tex]

Substitute 24 into x:

[tex]3(24) = ?[/tex]

Solve:

[tex]72[/tex]

Explanation:

The points b and e are relative max points. They are the highest point for their given neighborhood/region. In other words, they are the peak of the mountain for that little area.

In this case, point b is also the absolute maximum because it is the highest point of every point on the entire curve.

Answer: y=4/9x-2.25

Hope this helps

Answer:

The coefficient is "12"

Step-by-step explanation:

Step 1: Encircle the variable along with its power whose coefficient we are finding.

Step 2: Leave that variable and consider all other numbers or variables written with it. That will be the coefficient.

Answer:

12

Step-by-step explanation:

The coefficient of a term is the numerical quantity placed before multiplying a variable. For example, the coefficient in 5a + 6 is 5.

Given the information above, the number 12 is the coefficient because it's placed before the variable, a (and we're multiplying the two).

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

The cordinate of W is (-4,-2) when it is reflected across the x-axis

the coordinate of W' will be (-4,2)

Answer:

8) 1360 and 9) 99

Step-by-step explanation:

Both solved using PEMDAS