5.
Find the sum of all two - digit natural numbers which are divisible by 3.​

Answers

Answer 1

Answer:

1665

Step-by-step explanation:

This is AP, where:

First term is: 12= 3*4Last term is: 99= 3*33Common difference is: 3Number of terms is: 33- 3= 30 (because the 4th term is included)S=1/2*30(12+99)= 1665

The sum of all two - digit natural numbers which are divisible by 3 is 1665


Related Questions

Instructions: Find the angle measures given the figure is a rhombus.

Answers

Answer:

m∠1 = 90°

m∠2 = 55°

Step-by-step explanation:

1. m∠1 = 90° because by definition, the diagonals of a rhombus are perpendicular, or intersect at 90°.

2. Because of vertical angles, the angle opposite of ∠1 is also 90°. A triangle has a total of 180°.

m∠2 + 90 + 35 = 180

90 + 35 = 125

m∠2 + 125 = 180

subtract 125 from both sides to solve for m∠2

m∠2 = 55°

What is the best estimate of the sum of the fractions?
31 17
4 3
+
+
8
18
o 12 1 / 2
13
141
15

Answers

Answer:

499/36

Step-by-step explanation:

If you find the LCM of all fractions and add them then you get 279/36+204/36+16/36 which is equal to 499/36

Answer:

Its B or 13

Step-by-step explanation:

Which expression can be used to determine the average rate of change in f(x) over the interval 2, 9? On a coordinate plane, a curve opens down and to the right. The curve starts at (0, 0) and goes through (1, 3), (4, 6), and (7, 8). f(9 – 2) f(9) – f(2) StartFraction f (9 minus 2) Over 9 minus 2 EndFraction StartFraction f (9) minus f (2) Over 9 minus 2 EndFraction

Answers

Answer:

(D) [tex]\dfrac{f(9)-f(2)}{9-2}[/tex]

Step-by-step explanation:

To determine the average rate of change in f(x) over the interval [a,b], we use the formula:

[tex]\text{Average rate of change}=\dfrac{f(b)-f(a)}{b-a}[/tex]

Therefore, given a function f(x), the average rate of change in f(x) over the interval [2,9] is given as:

[tex]\text{Average rate of change}=\dfrac{f(9)-f(2)}{9-2}[/tex]

The correct option is D,

Answer:

D

Step-by-step explanation:

I REALLY NEED HELP MY DAD YELLED AT ME

Answers

Answer:

2/3

Step-by-step explanation:

f(x)=g(x)

-3x+4=2

Add 3x

3x+2=4

subtract 2

3x=2

divide by 3

x=2/3

Answer:

x= 2/3

Step-by-step explanation:

The value where f(x) = g(x) is where the two functions intersect

That would be at

f(x) = g(x)

-3x +4 = 2

Subtract 2 from each side

-3x = -2

x = 2/3

We know the y value.  Substitute x into the equation

g(2/3) = 2

y = 2

The point is (2/3,2)

The function of fx has been transformed to give go. Witch of the following functions represent gx?

Answers

Answer:

Sorry your mouse is blocking the fx equation. Is it x squared? I can't help you if I can't see what the equation is I'm sorry

Step-by-step explanation:

Plz HELP!!!!!!!!!!!!!!!!!!!!!

Answers

They are Parallel, Intersecting, and perpendicular, if it's helpful let me know

if x4x2/3=x^awhat is the value of a?
(Number 7)

Answers

Answer:

4 2/3

Step-by-step explanation:

[tex]x^4x^{2/3}= \\\\x^{4+2/3}= \\\\x^{4 \ 2/3}[/tex]

Therefore, a= 4 2/3.

Hope this helps!

evaluate 0.53n + 5 when n= 3 and when n= -3

Answers

Answer:

6.59 and 3.41

Step-by-step explanation:

To evaluate, substitute n for each of the given values.

So when n= 3:

0.53n + 5 = 1.59 + 5 = 6.59

And when n = -3

0.53 n + 5 = -1.59+5=3.41

Hope this helps

Convert the decimal to a percent.

3.06 = a number here %

Answers

Answer: 306%

Explanation:

To convert decimal to percent, move the decimal point two spaces to the left.

find the circumference use 3.14 for pie r=2 m

Answers

Answer:

= 12.56 m

Step-by-step explanation:

The circumference is found by

C = 2* pi *r

C = 2 * 3.14 * (2)

   = 12.56 m

Answer:

12.56 meters

Step-by-step explanation:

The circumference of a circle can be found using the following formula.

c= d* pi

We are given the radius. First, we must find the diameter. The diameter is twice the radius.

d=2*r

We know the radius is 2 meters. Therefore, we can substitute 2 in for r.

d=2*2

Multiply 2 and 2

d=4

The diameter is 4 meters.

Now we know the diameter, and can substitute 4 in for d in the circumference formula.

c= d* pi

d= 4 m

c= 4 m* pi

We also know we are using 3.14 for pi, so we can plug 3.14 in for pi.

c= 4 m * 3.14

c=12.56 m

The circumference of the circle is 12.56 meters.

PLEASE ASAP FOR BRAINLIEST

Answers

Answer:

27°

Step-by-step explanation:

Angle ABC is 90°

ACB is 63 because it is vertically opposite angle GCJ

Angle CAB is 27° (90-63)

angle x is 27° (vertically opposite CAB)

Find the area. Use Pi = 3.14 a. 15.1976 cm2 c. 13.816 cm2 b. 6.908 cm2 d. 60.7904 cm2

Answers

Answer:

A.

Step-by-step explanation:

Diameter = 4.4 cm

Radius = 2.2 cm

Now

Area of the circle = πr²

= (3.14)(2.2)²

= (3.14)(4.84)

= 15.1976 cm²

Answer:

A.

Step-by-step explanation:

D=4.4, therefore, the Radius is equal to 2.2, half of the diameter.

The formula for Area:

A=pir^2.

A=(3.14)(2.2)^2

A=(3.14)(4.84)

A=15.1976

A=15.1976, which is identical to option A.

Find the sum 3/5+1/9

Answers

hope it helps you tell me in the comment box

(•‿•)

Which of the following have 3 significant figures? Check all that apply ​

Answers

Answer:

B.

D.

Step-by-step explanation:

find the solution of pair of equation y=0 and y= -6​

Answers

Answer:

Step-by-step explanation:

there is no soltion because it is not intersects

Answer:

No solution as it will not intersect.


The first two terms in a sequence are 8 and 11. What is the next value if this sequence is arithmetic?

Answers

Answer:

14

Step-by-step explanation:

From the question we are given the first term 8,second term 11 and we are to find the third term.

Using the formula:Tn=a+(n-1)d

Where a=first term=8

n=number of terms =3

d= difference between terms( second term -first term)=11-8=3

T3=8+(3-1)3

=8+2(3)

=8+6

The next term =14

Can someone help me im kinda dumb :/

Answers

Answer:

9. a₁ = 13, aₙ = aₙ₋₁ × (-2)

10. aₙ = 2 (-3)ⁿ⁻¹

Step-by-step explanation:

9. aₙ = 13 (-2)ⁿ⁻¹

This is a geometric sequence where the first term is 13 and the common ratio is -2.

So the recursive formula is:

a₁ = 13, aₙ = aₙ₋₁ × (-2)

10. a₁ = 2, aₙ = aₙ₋₁ × (-3)

This is a geometric sequence where the first term is 2 and the common ratio is -3.

So the explicit formula is:

aₙ = 2 (-3)ⁿ⁻¹

Which statement is true?

Answers

Answer:B

Step-by-step explanation:

Answer:

The real correct answer is C

Step-by-step explanation:

When something is parallel to each other there what

Answers

Answer:

they are 2 lines that look ;like this =

Step-by-step explanation: the 2 lines of the equal sign are parallel

they are side by side like two lines next to each other

U 3 4
Lucy buys 7 kg of nuts to sell.
She pays £10 for the nuts.
Lucy puts all the nuts into bags.
She puts 350 g of nuts into each bag.
She then sells each bag of nuts for 75p.
Lucy sells all the bags of nuts.
Work out her percentage profit.

Answers

Answer: 50%

Step-by-step explanation:

I'm converting 7kg to grams to make it easier. So £10 = 7000g

£1 = 7000÷10 = 700g

700g÷2 = 350g and if you follow the ratios on top, she payed 50p per 350g

She sells a bag of 350g for 75p.

Percentage profit=[tex]\frac{Change in cost}{original cost}[/tex] × 100

75p - 50p = 25p = change in cost

Percentage profit= [tex]\frac{25}{50}[/tex] × 100

= 50%


XYZ is a triangle.
XY = 9.3 cm
YZ= 12.4 cm
Angle XYZ= 38°
Work out the area of triangle XYZ.
Give your answer correct to 3 significant figures.

Answers

Answer:

Area of ΔXYZ = 35.499 cm²

Step-by-step explanation:

From the figure attached,

In triangle XOY,

Sin38° = [tex]\frac{\text{OX}}{\text{XY}}[/tex]

OX = (XY)Sin38°

OX = (9.3)Sin38°

      = 5.7257 cm

Area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                             = [tex]\frac{1}{2}(\text{YZ})(\text{OX})[/tex]

                             = [tex]\frac{1}{2}(12.4)(5.7257)[/tex]

                             = 35.499 square cm

Therefore, area of the given triangle XYZ = 35.499 cm².

i’m not sure how to solve “system of equations”

Answers

Hey there! :)

Answer:

(2, -2)

Step-by-step explanation:

-2x + y = -6

4x + 3y = 2

We can begin by setting the first equation equal to y:

-2x + y = -6

Add 2x to both sides:

y = 2x - 6

Plug this equation for y into the second equation:

4x + 3(2x - 6) = 2

Distribute:

4x + 6x - 18 = 2

Combine like terms:

10x = 20

x = 2

Plug the value of 'x' into an equation to solve for 'y':

-2(2) + y = -6

-4 + y = -6

y = -2

Therefore, the solution is (2, -2)

PLEASEEEE If z=-1-sqrt3i and z^6 = a+bi, then a=___ and b=___.

Answers

Answer:

a = 94

b = -66√3

Step-by-step explanation:

Given  z = [tex]-1-i\sqrt{3}[/tex]

[tex]z^{6}=(z^{3})^{2}[/tex]

[tex](-1-i\sqrt{3})^6=[(-1-i\sqrt{3})^3]^2[/tex]

                   [tex]=[-(1+i\sqrt{3})^3]^{2}[/tex]

                   [tex]=[(1+i\sqrt{3})^3]^2[/tex]

                   [tex]=[(1)^3+(i\sqrt{3})^3+3(1)^2(i\sqrt{3})+3(1)(i\sqrt{3})^2]^2[/tex] [(a + b)³ = a³ + b³ + 3a²b + 3ab²]

                   = [1 + 3i² + 3i√3 + 9i²]²

                   = [1 - 3 + 3i√3 - 9]²

                   = [-11 + 3i√3]²

                   = (11)² -2(3i√3)(11) + (3i√3)²

                   = 121 - 66i√3 + 27i²

                   = 121 - 66i√3 - 27

                   = (94 - 66i√3)

Comparing it with (a + bi),

a = 94 and  b = -66√3

30 points A repeating decimal + A fraction...

Answers

Answer:

rational

Step-by-step explanation:

Answer:

Rational Number

Step-by-step explanation:

A repeating decimal added to a fraction will result in a rational number.

please help me for brainliest

Answers

Answer:

Step-by-step explanation:

A) These are the squares of another number or we can say the prime numbers

B) THE NEXT NUMBER IN THE SEQUENCE IS 9 BECAUSE ALL THESE ARE SQUARES OF 8 7 6 5 4 AND THE LAST ONE WILL BE 9

B
Which transformations could have taken place to
map ABC to A'B'C'
B"
a reflection and a dilation
a rotation and a dilation
C"
A"
a translation and a dilation
a reflection and a translation
C​

Answers

Answer:  C

Step-by-step explanation:

Translating  A'B'C' to A''B''C'' doesn't change the position of the vertices  and to make it smaller you have dilate the figure because that is the only way to change the size of a shape.  

.Reflecting the figure  changes the position of the vertices so A and D can't be an answer choice.

PLEASE HELP ASAP! Which equation is represented by the graph below? y=e^x+5 y=e^x+4 y=ln x+4 y=ln x+5

Answers

Answer:

y = ln(x) + 4

Step-by-step explanation:

Fastest way to do this is to graph each equation into a graphing calc and match it with the given graph.

A subscription service charges new
customers $2 per video game plus
$10 for the membership rental card.

Answers

Step-by-step explanation:

Graphing Linear Inequalities

This is a graph of a linear inequality:

linear inequality y <= x +2

The inequality y ≤ x + 2

You can see the y = x + 2 line, and the shaded area is where y is less than or equal to x + 2

Linear Inequality

A Linear Inequality is like a Linear Equation (such as y = 2x+1) ...

... but it will have an Inequality like <, >, ≤, or ≥ instead of an =.

How to Graph a Linear Inequality

First, graph the "equals" line, then shade in the correct area.

There are three steps:

Rearrange the equation so "y" is on the left and everything else on the right.

Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)

Shade above the line for a "greater than" (y> or y≥)

or below the line for a "less than" (y< or y≤).

Let us try some examples:

Example: y≤2x-1

1. The inequality already has "y" on the left and everything else on the right, so no need to rearrange

2. Plot y=2x-1 (as a solid line because y≤ includes equal to)

Need answer ASAP TY.............................

Answers

Answer:

sin(g) = x/z

Step-by-step explanation:

Sine is opposite over hypotenuse. Our opposite is x and our hypotenuse is z. Therefore, our answer is sin(g) = x/z

could any one explain this problem?

Answers

Answer:

C

Step-by-step explanation:

Δ AQP and Δ ACB are similar triangles, thus the ratios of corresponding sides are equal, that is

[tex]\frac{AQ}{AC}[/tex] = [tex]\frac{PQ}{BC}[/tex] ( note that AC = 3 + 6 = 9 ), substitute values

[tex]\frac{3}{9}[/tex] = [tex]\frac{4.5}{BC}[/tex] ( cross- multiply )

3BC = 40.5 ( divide both sides by 3 )

BC = 13,5 cm → C

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