What is an integer value

Integers*?

Let [tex]n[/tex] be the smallest of these five consecutive integers. Then the sum of the five consecutive integers is [tex]\frac{5(2n+4)}{2}=5n+10,[/tex] so we seek the largest positive integer [tex]n[/tex] such that [tex]5n+10<2020.[/tex] Solving this inequality, we find that [tex]n<402,[/tex] so there are [tex]\boxed{401}[/tex] such positive integers.

Answer:

D. y = -2x + 20

Step-by-step explanation:

first, plot these points on a linear graph.

work down from the top:

A. y = 2x + 5

look at the last number first, this means the line will cross over the y axis (vertical line) at + 5. draw a point on + 5

y = 2x + 5

From this point (+5), the 2x means that for every 1 square you move across (to the right), you will go up 2. This will make the second point of the line. connect the dots. (see picture 1 below)

B. y = 2x - 6

the last number means the first point will be on -6 on the y axis.

y = 2x - 6

the 2x means that every 1 square you go across (to the right) from that point, you will move up 2

C. y = 2x

as there is no second number, this line will cross through the center of the graph. the 2 means that for every 1 square you move across from that point, you will move up 2

D. y = -2x + 20

the +20 means this line will cross the y axis and + 20, the -2 means that for every 1 square you move across to the right, you move DOWN 2.

this is the only line that moves down from left to right

Answer:

B

Step-by-step explanation:

B cause

Answer:The Correct answer is C) the summation from n equals one to 6 of quantity negative 7 minus 3 times n

Step-by-step explanation:

The given Arithmetic sequence: −10, −13, −16, …

Theory : For arithmetic sequence : a, a+d,a+2d......a+(n-1)d

Formula for summation is given as Sn =

Where, a=  First term of sequence = (-10) and d= difference of any two consecutive terms = (a+d)-(a) = (-13)-(-10)= (-3)

Putting values in Summation formula

Sn =

Sn =

Sn =

Sn =

Thus, Correct answer is C) the summation from n equals one to 6 of quantity negative 7 minus 3 times n

All in the attachment :)

and don't complain about my drawing skills ;)

Answer:

w+5=7

Step-by-step explanation:

Answer:

Vertical

Step-by-step explanation:

If two points have the same x-coordinate, the line will be stretching out in a vertical direction, or up and down. Alternatively, if two points have the same y-coordinate, the line will be stretching out in a horizontal direction, or left and right.

Answer:

x=27

Step-by-step explanation:

Answer:

B: (2,2)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

To find f(3) we just need to plug in 3 wherever we see an n

f(3) = f(3 - 2) + f(3 - 1)

f(3) = f(1) + f(2)

Since f(1) and f(2) are given, we can plug in the respective values

f(3) = f(1) + f(2) → f(3) = 1 + 2 = 3

Answer:

3

Step-by-step explanation:

I just did it on Khan

Answer:

A.

Step-by-step explanation:

The inequality matches the given statement  3n-5>2/3n.

An inequality is a relationship between two different quantities or expressions.

An inequality may be expressed by a mathematical sentence that uses the following symbols:

< is less than

> is greater than

≤ is less than or equal to

≥ is greater than or equal to

≠ is b equal to

"Five less than three times a number is greater than two-thirds of that number.

3n-5>2/3n

Hence, the inequality matches the given statement  3n-5>2/3n.

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Answer:

1.

The amount of time could be related to the battery charge by equation:

y = ax + b

a = 16% per 30 min = 32% per hour

b = 10%

=> y = 32x + 10

2.

In term of charging time, the rate of charging is 32% per hour

Answer:

trinomial

Step-by-step explanation:

plus and minus signs separate terms.

2x^2 is a term

5x^2 is another term

-8 is another term.

The given algebraic expression is binomial.

The given expression is 2x²+5x²-8 (7x²-8).

We need to check whether the given expression is a monomial, binomial or trinomial.

The different types of algebraic expression are explained below:

Monomial: An algebraic expression which consists of one non-zero term only is called a monomial.

Binomial: An algebraic expression which consists of two non-zero terms is called a binomial.

Trinomial: An algebraic expression of three non-zero terms only is called a trinomial.

Now, the given expression 7x²-8 as two terms.

Therefore, the given algebraic expression is binomial.

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Answer:

B

Step-by-step explanation:

Angle P and Angle Q are co- interior angles so they add up to 180 degrees

If angle P is 116, then:

116+ x= 180

(x= Angle Q)

x=180-116

x=64

Answer:

C 12

Step-by-step explanation:

16 × 6 ÷ 8 = 12

check answer: 24 × 12 ÷ 16 = 18

Answer:

4.5 cm

Step-by-step explanation:

The circumference of a circle is given by

C = 2*pi*r where r is the radius

28.3 = 2 * (3.14) *r

28.3 = 6.28 r

Divide each side by 6.28

28.3/6.28 = r

4.506369427=r

The approximate length of the radius is 4.5 cm

Answer:

Yes

Step-by-step explanation:

1/2 fruit cocktail—>57

broiled sirloin—>240

baked potato—>145

442 is the total so yes

Answer:

Step-by-step explanation:

reference angle=(14 π)/11-π=(14-11)π/11=3π/11

Answer:

Y=8

Step-by-step explanation:

A horizontal line is going to be parallel to the x-axis, so you need to use your y-value to determine the equation of the line. Your y-value in the coordinate (-3,8) is 8, so y=8

Answer: y = 8

Step-by-step explanation: Whenever we are given a line and the problem says that it's horizontal or a flat line, we know that the equation of the line will always be in the form "y = a number".

Since we are given that the y-coordinate is 8, that means that

the equation of this line will be y = 8.

Answer:

$2.40

Step-by-step explanation:

Take the price of each item and divide by ten to find the cost of 1/10:

3 divided by 10 = .3

5 divided by 10 = .5

Then multiply by the amount he is purchasing:

.3 x 3 = .9

.5 x 3 = 1.5

Add the prices together for a total:

.9 + 1.5 = 2.4

Answer:

Volume is 3.05m³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere

Step one

The formula for the volume of a sphere is expressed as

V=4/3πr³

Step two

Given data

Diameter d = 1.8m

Radius r = d/2= 1.8/2= 0.9m

Step three

Substituting our given data we have

V= 4/3*3.142*0.9³

V= 4/3*3.142*0.729

V= 9.162/3

V=3.05m³

Step-by-step explanation:

The equation

(x - a)² + (y - b)² = r²

describes a circle of radius r, with center at the point (a, b).

G is a circle of radius 7 units, centered at the point (14, -12).

H is a circle if radius 14 units, centered at the point (18, 8).

Answer:

Dilation

Step-by-step explanation:

The general form of a circle with center at (h, k) and radius r units is given as

(x - h)² + (y - k)² = r²

G is a circle centered at the point (14, -12) with radius 7 units.

G is dilated 4 units to the right on the x-axis, 20 units upwards on the y-axis, and 7 units on the radius to a circle H with center at the point (18, 8) and radius 14 units.

Answer:

1. 135 2. 16.875

Step-by-step explanation:

1. 5 x 4.5 x 6 = 135

2. 2.5 x 2.25 x 3 = 16.875

Answer:

B

Step-by-step explanation:

2= 9

4= 64

64-9=55

If you subtract that

You will get 55

Answer:

the correct answer is 27.5

Step-by-step explanation:

Answer:

circumfrence : 43.96 area :153.94

Step-by-step explanation:

Answer:

-.01

Step-by-step explanation:

X - Y + Z

2.3 - (-1.6) + (-4)

2.3 + 1.6 - 4

-0.1

I hope this is helpful!!!!!!! :)

Answer:

-0.1

Hope this helped :)

Answer:

C. 2 sin^2x-sinx=1

Step-by-step explanation:

a p e c

2sin^2 - x - Sinx =1 and sec x csc x (tanx+ cotx) = sec^2x + csc^2x is not an identity. Option B and C is correct.

Out of Four options are given, which of them is not an identity is to be determined.

An identity is the common case formula that helps to solve mathematics.

1)

[tex]2cos^2x-1 = 1 - 2 sin^2x\\ \\cos2x =cos2x[/tex]

It is also a perfect identity.

2)

[tex]secx cscx(tanx+ cotx) = sec^2x + csc^2x\\\\\\sec x cscx (sinx/cos x + cosx/sinx) = sec^2 + csc^2x\\\\secx cscx (sin^x+cox^2x/cosxsinx) = sec^2x +csc^2x[/tex]

     It is also not an identity.

3) 2sin^2-X- Sinx=1

It's not an identity cause it is form of equation and contain -x.

4)

[tex]sin^2x+ tan^2x + cos^2x = sec^2x\\ sin^2x + cos^2x = sec^2x -tan^2x = 1[/tex]

It is a perfect identity.

Thus, 2sin^2- x - Sinx =1 and sec x csc x (tanx+ cotx) = sec^2x + csc^2x is not an identity. Option B and C is correct.

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Step-by-step explanation:

Im not sure ut it looks like 3x over 3x would cancel eachother out.