Find the sum of the first 8 terms of the following series, to the nearest integer 48,60,75

Check the picture below.

[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-5}~,~\stackrel{y_1}{2})\qquad B(\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) ~\hfill AB=\sqrt{[ -1- (-5)]^2 + [ 6- 2]^2} \\\\\\ ~\hfill \boxed{\sqrt{32}} \\\\\\ B(\stackrel{x_1}{-1}~,~\stackrel{y_1}{6})\qquad C(\stackrel{x_2}{3}~,~\stackrel{y_2}{2}) ~\hfill BC=\sqrt{[ 3- (-1)]^2 + [ 2- 6]^2} \\\\\\ ~\hfill \boxed{\sqrt{32}}[/tex]

[tex]C(\stackrel{x_1}{3}~,~\stackrel{y_1}{2})\qquad D(\stackrel{x_2}{-1}~,~\stackrel{y_2}{-2}) ~\hfill CD=\sqrt{[ -1- 3]^2 + [ -2- 2]^2} \\\\\\ ~\hfill \boxed{\sqrt{32}} \\\\\\ D(\stackrel{x_1}{-1}~,~\stackrel{y_1}{-2})\qquad A(\stackrel{x_2}{-5}~,~\stackrel{y_2}{2}) ~\hfill DA=\sqrt{[ -5- (-1)]^2 + [ 2- (-2)]^2} \\\\\\ ~\hfill \boxed{\sqrt{32}}[/tex]

[tex]~\dotfill\\\\ \sqrt{32}\implies \sqrt{16\cdot 2}\implies \sqrt{4^2\cdot 2}\implies 4\sqrt{2}\implies \stackrel{\textit{four times that much}}{4(4\sqrt{2})\implies \blacksquare~~ 16\sqrt{2} ~~\blacksquare}[/tex]

It's a rhoumbus as AC and BD both diagonals are perpendicular to each other .

Find one side

AD

So

Perimeter

Answer: 11 students in each group

Step-by-step explanation: I answered the other one but u do 90 + 75 which is 165 and then divide by 15

165 divided by 15 is 11 students in each group

Answer:

about 89.91 cubic cm

Step-by-step explanation:

[tex] \frac{1}{3} \pi( {3}^{2} ) \sqrt{ {10}^{2} - {3}^{2} } [/tex]

[tex] \frac{1}{3} \pi(9) \sqrt{100 - 9} [/tex]

[tex]3\pi \sqrt{91} = 89.91[/tex]

Answer:

90/100

Step-by-step explanation:

if you look at the graph on the bottom part it tells you the study time if you line it the left side which says the test score. so if they studied for 80 mins they are expected to have the score of between 85 and 90.

Answer:

discriminant(∆) = 0

vertex and intercept labeled on the graph below

NOTE: the x-intercept is the vertex

Step-by-step explanation:

Comparing [tex]y = 25x^{2} - 30x + 9[/tex] with [tex]y = ax^{2} − bx + c[/tex]

Thus,

a=25 b = -30 and c = 9

[tex]discriminate (d) = b^{2} - 4ac\\d = (-30)^{2} - 4(25)(9)\\[/tex]

the ' - ' when squared becomes '+'

d = 900 - 900

d = 0

Thus, the value of discriminant(∆) is 0

Answer:

[tex] \frac{1}{4} + 0 = \frac{1}{4} [/tex]

Step-by-step explanation:

[tex] \frac{1}{5} + \frac{1}{12} = \frac{12}{60} + \frac{5}{60} = \frac{17}{60} [/tex]

1/5 is close to 1/4, 1/12 is close to 0, so

1/5 + 1/12 = 17/60, which is close to 1/4.

Answer:

36ft

Step-by-step explanation:

3ft + 3ft x 6 = 36ft

Answer: Choice B

The initial amount in the account.

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

Reason:

x is the number of years

x = 0 is the starting point. Let's plug that in to find...

[tex]y = 982(1.07)^x\\\\y = 982(1.07)^0\\\\y = 982(1)\\\\y = 982\\\\[/tex]

At the start, Sammy has $982 in the bank.

Side note: The 1.07 means the account is growing by 7% each year.

Answer:

see the attachment!

Answer:

twice

Step-by-step explanation:

[tex]\frac{4/6}{1/3} =\frac{(4)(3)}{(1)(6)} =12/6 = 2[/tex]

Hope this helps

The number of times that Gabriel needs to use his measuring scoop to make the bread will be 2 times.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Gabriel is making bread, and his recipe calls for 4/6 cups of flour. in any case, he has just a 1/3 cup estimating scoop.

Then the number of times that Gabriel needs to use his measuring scoop to make the bread will be given as,

⇒ (4/6) / (1/3)

⇒ (4/6) x (3/1)

⇒ 4 x 3 / 6

⇒ 12 / 6

⇒ 2 times

The number of times that Gabriel needs to use his measuring scoop to make the bread will be 2 times.

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The one-quart container  is the better than one-liter container

Measurement refers to the comparison of an unknown quantity with a known quantity. The result of the measurement is a numeric value with certain units.

The One- Lite Container is better than the One Quart Container.

One Liter = 1000 ml

and, 1 quart= 946.353 ml

So, One-quart< One Liter

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The answer is B which is 1518.75

Answer:16X + 24 D

Step-by-step explanation:

Length of rectangle = 3(2X + 3) = 6X +9

Width = 2X + 3

Perimeter = 2(Lengtb + Breadth)

= 2(6X +9) + 2(2X +3)

y=6x-14

answerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr                                  

Answer:

The answer is 1/10

Step-by-step explanation:

3+2=5+5=10 outcomes so 1/10

Answer:

4a² +3a

Step-by-step explanation:

4a x a =4a²

3 x a= 3a

Answer: The answer to that question would be 4a^2+3a

Step-by-step explanation:

Multiply using the distributive property.

Search : what's the answer to a(4a + 3)

Answer:

 628.32

Step-by-step explanation:

Volume: 

πr2h

=π×52×8

= 200π

= 628.31853071796

rate= 5 mi

height= 8 mi

the volume of the cylinder.

[tex]v =\pi {r}^{2} h[/tex]

[tex]v = \pi \times {5}^{2} \times 8[/tex]

[tex]v = 628.3185307 \: {mi}^{3} [/tex]

[tex]v = 628.3 \: {mi}^{3} [/tex]

therefore, the volume of the cylinder is 628.3 cubic miles.

The solid shapes are illustrations of volumes, and there are 1/27 cubic yards in 1 cubic foot

The given shapes are cubes.

So, the volume of each cube is:

V = l³

Where l represents the length of each cube

For the first cube with side length of 1 yard, the volume is:

V = (1 yd)³

Evaluate

V = 1 yd³

For the second cube with side length of 3 feet, the volume is:

V = (3 ft)³

Evaluate

V = 27 ft³

This means that:

1 yd³ = 27 ft³

Let the number of cubic yard in 1 cubic foot be x.

So, we have:

1 yd³ = 27 ft³

x yd³ = 1 ft³

Cross multiply

27 ft³ * x yd³ = 1 yd³ * 1 ft³

Cancel the units

27x = 1

Divide both sides by 27

[tex]x = \frac{1}{27}[/tex]

Hence, there are 1/27 cubic yards in 1 cubic foot

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[tex]\text{If there are no real roots, then}\\\\~~~~~\text{Discriminant} < 0\\\\\implies b^2 -4ac < 0\\\\\implies (-8)^2 -4 \cdot 3 k < 0\\\\\implies 64-12k < 0\\\\\ \implies 12k > 64\\\\\implies k > \dfrac{64}{12}\\\\\implies k > \dfrac{16}3\\\\\text{Interval,}~ \left( \dfrac{16}3, ~\infty\right)[/tex]

Answer:

78π m²

Step-by-step explanation:

Formula for surface area of a cylinder is 2(πr²) + (2πr)(h)

r: This is the radius of the circle (3 in your case)

h: The height of the cylinder (10)

2(πr²): This is the area of the 2 circles on each end of the cylinder

(2πr)(h): This is the circumference of the circle, multiplied by the height. This is the cylinder itself (without the ends).

We will substitute r and h for the appropriate values.

2(πr²) + (2πr)(h)

2(π(3²)) + (2π3)(10)

2(9π) + (6π)10

18π + 60π

78π

That is the answer thank you for coming to my brainly explanation

78m²

hope this helps

not nat

Answer:

answer-3.4

Step-by-step explanation:

2022 edge

Answer:

9

Step-by-step explanation:

By BODMAS rule,

45 ÷ 15 + 2 ⋅ 3

= ( 45 ÷ 15 ) + ( 2 ⋅ 3 )

= 3 + ( 2 ⋅ 3 )

= 3 + 6

= 9

Note : -

B - Bracket

O - Of

D - Division ( step 1 )

M - Multiplication ( step 2 )

A - Addition ( step 3 )

S - Subtraction ( step 4 )

Answer:

the answer is 9

Step-by-step explanation:

45/15 = 3

2*3=6

3+6=9

Answer:

65.5584

Step-by-step explanation:

if you forget about the decimal place so you end up with

24 x 27316 you can complete that as long multiplication which youll end up with 655584.

then you count how many numbers you have after the decimal point in your equation and add them together so 2.4 has 1 (the 4) and 27.316 has 3 (the 3,1 and 6) which add 1 + 3 = 4

so you find the decimal place on your answer and you count back 4 places so

1 place ) 65558.4

2 place ) 6555.84

3 place ) 655.584

4 place ) 65.584

they hey presto youve multiplied with decimal places !

Answer: X should just equal 1 therefore the area of the triangle is 16

Step-by-step explanation:

4(1) * 4= 16

3(1)+1= 4 ^^^

Answer:

A survey shows that the probability that an employee gets placed in a suitable job is 0.65.

So, the probability he is in the wrong job is 0.35.

The test has an accuracy rate of 70%.

So, the probability that the test is inaccurate is 0.3.

Thus, the probability that someone is in the right job and the test predicts it wrong is 0.65 x 0.3 = 0.195

The probability that someone is in the wrong job and the test is right is

0.35 x 0.7 = 0.245

Answer:

x=5

Step-by-step explanation:

Subtract

2

x

from both sides of the equation.

24

−

3

x

−

2

x

=

−

1

Subtract

2

x

from

−

3

x

.

24

−

5

x

=

−

1

Move all terms not containing

x

to the right side of the equation.

Subtract

24

from both sides of the equation.

−

5

x

=

−

1

−

24

Subtract

24

from

−

1

.

−

5

x

=

−

25

Divide each term in

−

5

x

=

−

25

by

−

5

and simplify.

Divide each term in

−

5

x

=

−

25

by

−

5

.

−

5

x

−

5

=

−

25

−

5

Simplify the left side.

Cancel the common factor of

−

5

.

Cancel the common factor.

−

5

x

−

5

=

−

25

−

5

Divide

x

by

1

.

x

=

−

25

−

5

Simplify the right side.

Divide

−

25

by

−

5

.

x

=

5

Answer:

5

Step-by-step explanation:

1) 24 - 3x = 2x - 1   Normal equation

2) 24 - 5x = -1         Subtracted  2x from the side

3) -5x = -25    Subtracted 24 from side

4) x = 5     Divided

Answer:

Domain: input values (x-values)

Range: output values (y-values)

Increasing function:  the average rate of change is positive

Decreasing function: the average rate of change is negative

Constant function: y-values do not vary, regardless of x-values

From inspection of the graph, 2 squares = 1 unit.

Domain: [-2, 3]

Range:  [-2, 2]

Increasing function: (-2, 0)

Decreasing function:  (0, 3)

From inspection of the graph, 2 squares = 1 unit.

Domain: [-2, 3]

Range: [-2.5, 2]

Increasing function: (-2, -1) ∪ (1.5, 3)

Decreasing function:  (-1, 1.5)

From inspection of the graph, 2 squares = 1 unit.

Domain: [-2, 3]

Range: [-1, 2]

Increasing function: (-2, -1)

Constant: (-1, 1)

Decreasing function:  (1, 3)