The number 111…111 (100 ones) is multiplied by 101. The resulting number is then also multiplied by 101. The number obtained in the second step is again multiplied by 101. What is the sum of the digits of the number obtained in the third step?

Answers

Answer 1

Answer:

  800

Step-by-step explanation:

The three multiplication steps are equivalent to multiplying by ...

  101³ = 1030301

The sum of digits of the product will be the sum of digits of the partial products, since none of the digit-by-digit multiplications results in a product that is more than 10.

The sum of digits of the third product is ...

  (1 × 100) × (1 + 3 + 3 + 1) = 800


Related Questions

CAN SOMEONE HELP ME PLEASE

Answers

Answer:

the answer is -4

Step-by-step explanation:

you take the points (0,6) and (4,-10), then you subtract -10 by 6 and you get -16. then you take 4 subtracted by 0 and you get 4. -16 divided by 4 is -4.

The graph of the equation x ^ 2 + y ^ 2 - 16x + 6y + 14 = 0 is a circle. An equivalent form of this equation is (x - 8) ^ 2 + (y + 3) ^ 2 = M

What is the value of M?

Answers

Answer:

author link

ghanami

Ace

2.9K answers

12.1M people helped

hello :

note :

an equation of the circle Center at the w(a,b) and ridus : r is :

(x-a)² +(y-b)² = r²  

in this exercice : x²+y²-16x+6y+53=0

(x²-16x) +( y²+6y ) +53 = 0

(x² -2(8)x +8² -  8²) +(y² +2(3)x -3²+3² ) +53=0

(x² -2(8)x +8²) -  8² +(y² +2(3)x +3²)-3²  +53=0

(x-8)² +( y+3)² = 20

the center is :  w(8,-3) and ridus : r  = √20

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

In ΔABC, m∠A=4x+7 and m∠B=5x−3. What is the m∠A?

Answers

5x-3+4x+7+90=180
9x-3+7+90=180
9x+94=180
9x=86
x=9.5555555555555555(etc)

Answer:

Angle A = 47

Step-by-step explanation:

Angle A = Angle B { equal sides have equal angles. }

so,

4x + 7 = 5x - 3

7 + 3 = 5x - 4x

10 = x

so Angle A = 4x + 7 = 4(10) + 7 = 40 + 7 = 47⁰

what is the solution to 2x + 5 = 6x – 5? Show your work.

Answers

2+5=6−5
2x+5=6x−5 2x+5-5=6x - 5 - 5

The possible outcomes for tossing a coin four times are shown below.

If a coin is tossed four times, what is the probability of getting exactly three heads?

A. 1/3

B. 1/2

C. 1/4

D. 1/8

Answers

Step-by-step explanation:

I think that B IS CORRECT BECAUSE EVERY TIME you toss the coin there is half chance of getting tail and half of head

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

what is the slope of a line (0,2) (-1,-3)​

Answers

Answer:

The slope of the line is 5.

Step-by-step explanation:

You need to use the slope formula.

Slope Formula: y2 - y1 / x2 - x1

Your coordinates: (0,2) and (-1, -3)

Do -3 - 2 / -1 - 0

This is because the -3 is your y2 and the 2 is your y1

**Same goes with x but different numbers since it is the x coordinates.**

Now, do -3 - 2 first.

The negatives turn into a positive meaning you have to add the two.

But the bigger number 3 is negative so, your answer should contain a negative.

-3 -2 = -5

Do -1 - 0

This should be an addition problem but contain a negative answer.

-1 -0 = -1

-5/-1 as final.

The negatives cancel, and 5/1 is 5

Your slope is 5.

Answer:

The slope of the line is 5

Step-by-step explanation:

Slope(m) formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

y₂ = -3

y₁ = 2

x₂ = -1

x₁ = 0

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-3-2}{-1-0} \\\\m=\frac{-5}{-1}\\\\m=5[/tex]

Hope this helps!

Find the exact value of tan(-pi/12)

Answers

Tan(-pi/12) = sqrt(7-4sqrt(3)) = -2 + sqrt(3)


answer: -2 + sqrt(3)

Evaluate −6a^3+8a^2+8a+1, when a=5.

Answers

Answer:

-509

Step-by-step explanation:

1. Subsitute 5 for a in the expression.  -6(5)^3+8(5)^2+8(5)+1

2. -6(125)+8(25)+40+1

3. -750+200+41

4. -509


You have 8,640 grams of a radioactive kind of cesium. If its half-life is 30 years, how much
will be left after 120 years?
grams

Answers

The mass of cesium left afer 120 years if the original mass of cesium is 8640 with an half-life of 30 years,  is 540 grams.

What is half-life?

This can be defined as the time taken for half the amount of a radioactive substance to decay.

To calculate the amount of cesium left after 120 years, we use the formua below.

Formula:

R' = R/([tex]2^{T/t}[/tex])............. Equation 1

Where:

R = Original amount of CesiumR' = New amount of cesiumT = Total timet = Half-life

From the question,

Given:

R = 8640T = 120 yearst = 30 years

Substitute these values into equation 1

R' = 8640/([tex]2^{120/30}[/tex])R' = 8640/[tex]2^{4}[/tex]R' = 8640/16R' = 540 grams.

Hence, The mass of cesium left afer 120 years is 540 grams.

Learn more about half-life here: https://brainly.com/question/25750315

Can someone please answer this for me i will mark you the brainliest

A cylinder has a radius of 6 m and a height of 11 m
what is the approximate area of the cylinder

A: 527.5 m2
B: 640.6 m2
C: 414.5 m2
D: 1243.4 m2.

Answers

Answer:

B!

Step-by-step explanation:

2 times pie times 6 times 6 plus 11 equals 640.9

Evaluate the expression: 4x - 2y if x is 7 and y is -3

Answers

hello!

Plug in the values of the variables:-

[tex]\sf{4x-2y}[/tex]

[tex]\sf{4(7)-2(-3)}[/tex]

[tex]\sf{28+6}[/tex]

[tex]\sf{34}[/tex]

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

34

Step-by-step explanation:

We have to find the value of the expression ( 4x - 2y ).

Also, given that,

x = 7

y = -3

So, to find the value of the given expression, you have to replace x and y with 7 & -3 respectively.

Let us solve it now.

4x - 2y

4 × 7 - 2 × -3

28 + 6

34

Rewrite 4 x 6 2/3 as the product of a unit fraction and a whole number

Answers

Answer:

The whole number : 3

Fraction : 2/8

I'm pretty sure this is correct

how do you simplify (y+z)^3

Answers

Answer: y3+3y2z+3yz2+z3

Step-by-step explanation:

(y+z)3

=(y+z)*(y+z)*(y+z)

=(y+z)(y2+2yz+z2)

=(y)(y2)+(y)(2yz)+(y)(z2)+(z)(y2)+(z)(2yz)+(z)(z2)

=y3+2y2z+yz2+y2z+2yz2+z3

=y3+3y2z+3yz2+z3

What’s the answer????

Answers

Answer:

i think its c

Step-by-step explanation:

sorry if im worng

Answer i believe its a or d

Step-by-step explanation:

im not to sure but i did try to do the math on it so.

solve for a ~
[tex]a {}^{2} - 5a + 6 = 0[/tex]

thankyou ~​

Answers

Answer:

Hi there!

Given equation :-

[tex]\:\mathsf{a^2\:-\:5a\:+\:6\:=\:0}[/tex]

Now

=> By splitting the middle term

=> [tex]\:\mathsf{a^2\:-\:2a\:-\:3a\:+\:6\:=\:0}[/tex]

=> [tex]\:\mathsf{a(a\:-\:2)\:-\:3(a\:-\:2)\:=\:0}[/tex]

=> [tex]\:\mathsf{(a\:-\:2)\:-\:(a\:-\:3)\:=\:0}[/tex]

We get ,

=> [tex]\:\sf{a\:=\:2\: and\: a\:=\:3}[/tex]

[tex]\:\mathsf{Hope\:this\:helps\:you!\::)}[/tex]

Thank you!

Answer:

[tex]a = 3 \: \: \: and \: \: a = 2[/tex]

Step-by-step explanation:

[tex]a^{2} - 3a - 2a + 6 = 0[/tex]

[tex]a \: (a - 3) \: \: (a - 2)[/tex]

[tex]{}\ a - 3 = 0 \\ a = 2{}[/tex]

un camion se encuentra del lado izquierdo del cero del sistema de referencia, es decir, desde una posicion negativa de -2 km, como el conductor va buscando pasaje se mueve muy lentamente a una velocidad de 10 km/h? escribe la ecuacion horaria.

Answers

Veremos que la ecuación que describe el movimiento del camión es:

f(t) = -2km + (10km/h)*t

¿Como encontrar la ecuación de movimiento del camión?

Primero debemos recordar la relación:

distancia = velocidad*tiempo.

Entonces, podemos escribir la pocición del camión como:

f(t) = pocición inicial + velocidad*t

Donde t es el tiempo en horas.

Sabemos que:

posición inicial = -2kmvelocidad = 10km/h

Reemplazando eso obtenemos:

f(t) = -2km + (10km/h)*t

Esta es la ecuación de movimiento del camión.

Sí quieres aprender más sobre ecuaciones de movimiento, puedes leer:

https://brainly.com/question/19365526

PLEQSE HELP ME WITH THIS!!

Answers

I really think it’s d cause it is asking you “what transformation that was applied to this boomerang”

Suppose that a weight loss company advertises that people using its program lose an average of 8 pounds the first month, and that the Federal Trade Commission is gathering evidence to see if this advertising claim is inaccurate. Suppose that a 99% confidence interval for the average weight loss during the first month in the program, in pounds, is (7.92, 7.98), based on a large sample of patrons.
a. How strong is the statistical significance in the claim that on average people in fact lose less than 8 pounds?

Answers

Answer:

(a) Since the upper limit of the 99% confidence interval is less than

Step-by-step explanation:

We reject the null hypothesis at the 1% level of significance and conclude that there is strong statistical evidence to suggest that people in fact lose less than 8 pounds on average during the first month of the weight loss program.

What is hypothesis testing?

Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.

It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.

We have,

The null hypothesis is that the average weight loss during the first month is equal to 8 pounds, and the alternative hypothesis is that the average weight loss is less than 8 pounds.

Since the 99% confidence interval does not include the value of 8, we can reject the null hypothesis at the 1% level of significance and conclude that there is strong statistical evidence to suggest that people in fact lose less than 8 pounds on average during the first month of the weight loss program.

Thus,

We reject the null hypothesis at the 1% level of significance and conclude that there is strong statistical evidence to suggest that people in fact lose less than 8 pounds on average during the first month of the weight loss program.

Learn more about hypothesis testing here:

https://brainly.com/question/30588452

#SPJ2

GIVING BRAINLIEST
What is the measure of angle x?

40 degrees
80 degrees
130 degrees
140 degrees

Answers

Answer:

140 degrees

Step-by-step explanation:

Since alternate angles are equal, corresponding angles are equal, a pair of interior angles on the same side of the transversal are supplementary, and angles on a straight line add up to 180 degrees, 40 + x must equal 180 degrees.

To find angle x in this instance, you would need to subtract 40 degrees from 180 degrees.

[tex]180-40=140[/tex]

Therefore, the answer is 140 degrees.

Answer:

my test said 140

Step-by-step explanation:

evaluate the equation: F( 2 ) =

Answers

Answer:

3

Step-by-step explanation:

it's basically asking what is the y value that corresponded to x = 2

that value is 3.

IM STUCK CAN SOMEBODY SOLVE EQUATION

Answers

I hope that I helped

Solve the equation.

y + 6 = –3y + 26

y = –8
y = –5
y = 5
y = 8

Answers

Answer:

y = 5

Step-by-step explanation:

y + 6 = –3y + 26

y + 3y + 6 = 26

4y + 6 = 26

4y = 26 - 6

4y = 20

y = 5

I hope this helps!

The perimeter of a rectangular painting is 298 centimeters. If the length of the painting is 94 centimeters, what is its width?

Answers

Step-by-step explanation:

Length = 94 cm

breadth = ?

Perimeter = 298 cm

Now..............

Perimeter = 2 ( l + b )

298cm = 2 ( 94 cm + b )

298 / 2 = 94 + b

149 cm = 94 + b

b = 149 - 94 cm

b = 55 cm

Answer:

Value of it's width is 55 cm .

Step-by-step explanation:

In the question we have given perimeter of rectangular painting that is 298 cm , length of the painting is 94 cm , and we have asked to find the width of the rectangular painting . So perimeter of rectangle is ,

[tex] \purple{ \boxed{Perimeter \: of \: rectangle = 2 ( l + w ) }}[/tex]

Where ,

l = length of rectanglew = width of rectangle

Now , we are substituting value of length and equating it with given perimeter :

[tex] \longrightarrow \: 2(94 + w) = 298[/tex]

Now, our last step is of calculations . So from here we are calculating ,

[tex] \longrightarrow \: 94 + w = \frac{298}{2} [/tex]

[tex] \longrightarrow \: 94 + w= 149[/tex]

[tex] \longrightarrow \: w = 149 - 94[/tex]

[tex] \longrightarrow \: \blue{\boxed{ \bold{w = 55 \:cm}}}[/tex]

Therefore, width of rectangular painting is 55 cm .

#Keep Learning

The area of an isosoles trapezoid is 45cm squared, and it's height is 5cm. Find the perimeter if the length of a leg is 2/3 of the sum of the bases.

Answers

Answer:

Perimeter = 42 cm.

Step-by-step explanation:

The  2 legs are equal in length as it is an isosceles trapezoid.

Area of  trapezoid  = (h/2)(a + b)  where a and b are the parallel bases.

So

(5/2) (a + b) = 45

a + b = 45 * 2/5 = 18 cm.

We are given that the length of a leg (L) is 2/3 * sum of the bases, so:

L = 2/3(a + b)

  = 2/3 * 18

   = 12 cm.

The perimeter = a + b + 2L

= 18 * 2*12

= 42 cm.

What is the slope of a line perpendicular to the line with equation y = 4x + 5?


4


−14

−4

−5

Answers

Answer:

Slope= 4

Step-by-step explanation:

y=mx+b

4x

4= slope

A small squad of soldiers came to a
river they had to cross. The bridge
was damaged and the water was too
cold. Everyone thought there was no
hope for them to get to their dinner
on time. Just then, Officer Bill saw
two boys on a boat, but the boat was so small that the most it
could hold was only one soldier or only two boys.
All the soldiers got across the river using this boat. How did
they do it?

Answers

Answer:

maybe they could be on opposite sides?

Step-by-step explanation:

Which matrix represents the system of equations shown below?
9x + 5y = -16
2x - 10y = - 48

Answers

Answer:

Step-by-step explanation:

The coefficients of x and y in the first equation will be the 2 x 2 matrix first row and the coefficients of x and y in the second equation will be the second row:

[tex]\left[\begin{array}{ccc}9&5\\2&-10\\\end{array}\right]\left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}-16\\-48\\\end{array}\right][/tex]

When you take the inverse of that 2 x 2 matrix and multiply it with the right side matrix (-16 -48), you can find the solution for x and y.

Jim can't remember the last digit of his best friend's phone number. He plans to just dial the number and guess the last digit. What's the probability that he'll dial the correct number in the first 2 tries?
a) 1/10
b) 1/45
c) 17/10
d) 1/5
e) 2/5

Answers

Answer:

D.

Step-by-step explanation:

1) the required probability can be calculated as sum of two probabilities:

P=p1+p2, where p1 - when the 1st attempt is correct, p2 - when the 2d attempt is correct;

2) p1=1/10; p2=1/9, then the required probability:

P=1/10 + 1/9 ≈ 1/5.

Un numero disminuido en 18 es igual a uno. Cual es el nume

Answers

Answer:

19

Step-by-step explanation:

18 + 1 = 19

Someone please help me with this

Answers

Answer:

A

Step-by-step explanation:

writting only because answer need 20 words

Other Questions
What effect did stopping the overseas voyages have on Chinas trading influence and military power? Review how to write an informational paragraph on page 4. plsssss helppp!!!!!!!!!!! Please help! I will give Brainliest!!!Here are 3 receipts for meals at the same restaurant. Fill in the missing values for each recipe. -8 . (-10+(-7))Please help im stuck on this. For added effect, he takes the monitor up to the roof which is about 84 m above the ground. What is the velocity of the monitor as it hits the ground? A social scientist who conducts research on youth violence after first volunteering in an organization dealing with at-risk youth may be said to have ______ motivations. Use the table to answer the question.PlanetEstimated Mass of Planet (1024 kg)Venus4.87Mars0.642 Jupiter1.898.0Neptune102.0A spacecraft flies within 500.000 km of each of these planets. Which one would gravitationally attract the spacecraft the most?3VenusMarsJupiterNeptune How does music help in dealing with stress? why did president snow punish district 12? PLEASE HELP! I WILL GIVE BRAINLIEST AND NO LINKS PLEASE! true or false? the e for the -ir verbs changes to i in the preterite in all forms. What can be done to help prevent erosion on a building site What is the domain and range? im stuck hahahahahahha lol What is the perimeter and area of the photo below? And please show me how you did it. I need it for a school math group, and Im struggling. So please show work. Who did tupac think was responsible for his 1995 shooting?. What was one way hundred yearsWar affected France whats is the vertical colum of the elements in the periodic table called The figure below is made up of unit cubes that each have a volume of 1 cubic centimeter.A. 7B. 9C. 11D. 13HELP PLEASE Affordable Auto offered to enter people into a drawing for a free car if they shared the company's advertisement on social media. This table gives the total number of times the advertisement was shared since the promotion began. The data can be modeled by a quadratic function.Length of promotion (days) 2 4 6 8 10 12Number of shares 1200 3219 6240 10264 15290 21318What function best models the data?y=1.2x^2+20.6x+280y=125.3x^2+183.3y=1.2x^2+280y=125.3x^2+257.8x+183.3