A little girl has learned how to write digits. So far, she knows only: one, two,
three and four. She took a piece of paper and wrote five of each digit to make a huge
number. She came to her Daddy and said, “When I will grow up, I'll buy as many
chocolate bars as this number tells and we'll split them among you, Mommy, and
me!" But her Daddy answered, “It will not work; there will be a remainder.” What is
the remainder?

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: ({ \: z - 2 \: })^{2} \: }}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] {z}^{2} - 4z + 4[/tex]

[tex] = {z}^{2} - 2z - 2z + 4[/tex]

Taking "[tex]z[/tex]" as common from first two terms and "[tex]2[/tex]" from last two terms, we have

[tex] = z \: ( \: z - 2 \: ) - 2 \: ( \: z - 2 \: )[/tex]

Taking the factor [tex](z-2)[/tex] as common,

[tex] = ( \: z - 2 \: )( \: z - 2 \: )[/tex]

[tex] = {( \: z - 2 \: )}^{1 + 1} [/tex]

[tex] = ({ \: z - 2 \: })^{2} [/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35❦}}}}}[/tex]

Answer:

4 is the exponent

6 is the base

Step-by-step explanation:

6^4

The 6 is the base and the 4 is the exponent

hope it will help u.......

Answer:

B.   x = 7, y = 4√2

Step-by-step explanation:

Drop a vertical from the upper left corner

This creates a rectangle and a 45-45-90 triangle

The bottom of the rectangle is 3

The legs of the triangle are 4

Therefor

x = 4 + 3

x = 7

For a 45-45-90 triangle

the hypotenuse = leg * √2

y = 4√2

Answer:

P(grey) = 0.2857

Step-by-step explanation:

Remark

This is another one of those questions where assumptions are being made with no valid proof that they are correct.

Assumptions

Solution

There are 2 grey pie shaped pieces.

There are 7 shapes all together.

P(grey) = 2/7

P(grey) = 0.2857

Answer:

B-2

Step-by-step explanation:

To find the constant of dilation take the lead of EF and divide it by the length of AB to get (6/3)=2

Answer:

10km per hour

Step-by-step explanation:

Distance = speed * time

speed = distance/time

------------------------

Distance traveled

25 + 30 + 35 = 90 km

Time

2 + 3 + 4 = 9 hours

Average peed

90/9 = 10km per hour

Answer:

z=1.96

Step-by-step explanation:

Using normal distribution table or technology, 97.5% corresponds to z=1.959964, generally denoted z=1.96, or 1.96 standard deviations above the mean.

(above value obtained from R)

Answer is 70 ounces

Step-by-step explanation:

13 candy bars weigh =26 ounces

1 candy bar weighs=26/13=2 ounces

35 candy bars weigh=2x35=70 ounces

Step-by-step explanation:

hear is your answer in attachment

Answer:

4/10 but simplified = 2/5

Step-by-step explanation:

Add the marbles up, there are 4 green, so it's 4/10

But if you simplify it, it would be 2/5

I hope this helped!

Answer:

Kindly check explanation

Step-by-step explanation:

The hypothesis :

H0 : μ = 3000

H0 : μ ≠ 3000

The test statistic :

(xbar - μ) ÷ (s/√(n))

xbar = 3500

μ = 3000

σ = 300

n = 30

(3500 - 3000) ÷ (350/√(30))

Test statistic = 7.824

Df = 30 - 1 = 29

Tcritical at 0.01 = 2.462

Test statistic > critical value ; we reject H0 ; and concluded that there is significant evidence that

μ ≠ 3000

Answer:

3 feet

Step-by-step explanation:

A = l x w                    Formula

18.9 = 6.3 x w           Substitution

18.9/6.3 = w              Division

3 = w                         Solution

7/16 = 0.4375

3.4375 is between 3.43 and 3.44

The answer: 3 and 7/16

Answer:

[tex]\displaystyle x \approx 9.9[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 64°

Opposite Leg = x

Hypotenuse = 11

Step 2: Solve for x

Answer:

4x^2 + 2x + 4

Step-by-step explanation:

5x^2 + 2x + 4 - x^2

4x^2 + 2x + 4

Answer:

2(2x^2 + x + 2)

Step-by-step explanation:

5x^2+2x + 4-x^2

Re arrange so like terms are next to each other

Keep the same symbol that is at the front of the term when moving it

5x^2 - x^2 + 2x + 4

We will just do the first part first

5x^2 - x^2

5x^2 - 1x^2 (is the same thing as above)

So because they are like terms (are both x^2)

We can just minus 1 from 5

5-1=4

So 4x^2

Now the equation is

4x^2 + 2x + 4

This is as small as it gets but you can also bring it to this

4, 2 and 4 all are divisible by 2 so

2(2x^2 + x + 2)

No, x²+y²= 9 does not represent y as a function of x.

For x= 0,

y²= 9

=>y= ±3,

i.e y has two values +3 and -3

Since single value of x , there are two values of y

For an equation or relation to be function every element in domain( every value of x) there should one distinct value or image in co-domain (one value of y)

The line that is parallel to ​ line CD ​ in the figure is A. Line FA

From the provided information, line FA is the same distance from line CD at every point, meaning that these lines are parallel.

Parallel lines are lines on a flat surface that never meet or cross each other.

When two lines are straight from beginning to end, they are parallel. Their distance is always the same at all points.

Some properties of parallel lines include:

From the given figure, we can see that FA||CD.

Learn more about parallel lines at brainly.com/question/30195834

#SPJ1

Hope this help!!!

Have a nice day!!!

Answer:

I would have my debit card declined because it is a better choice prob than having to pay the overdraft fee.

Answer:

[tex]m(x) = 2 {x}^{3} - 3x + 12 \\ m( - 2) = 2 {( - 2)}^{3} - 3( - 2) + 12 \\ = 2[/tex]

Answer:

0.6

Step-by-step explanation:

The third side of the triangle ABC is AB. Using the Pythagorean Theorem, its length is 12. [tex]12^{2} +16^2=20^2[/tex]

∠F is congruent to ∠C and so the sin(∠F) = sin(∠C)

The sin(∠C) = opposite/hypotenuse

= |AB| / |AC|

= 12/20

= 3/5

= 0.6

so the answer is 0.6

Answer:

2 hours

Step-by-step explanation:

because they work faster togetter and jeff mows faster

Answer:

try me

Step-by-step explanation:

try these nuts

Answer:

lol

Step-by-step explanation:

[tex]\longrightarrow{\blue{B.\:5x\:+\:12}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]

[tex]4 + x + x + 2x + 5 + 3 + x[/tex]

Combining like terms, we have

[tex] = x + x + 2x + x + 4 + 5 + 3[/tex]

Next, add them

[tex] = 5x + 12[/tex]

Therefore, ''[tex]\sf\pink{4 + x + x + 2x + 5 + 3 + x}[/tex]" is equivalent to "[tex]\sf\purple{5x\:+\:12}[/tex]."

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]

Answer:

B. 5x + 12.

Step-by-step explanation:

[tex]4 + x + x + 2x + 5 + 3 + x = ?[/tex]

Whenever you see variables without a visible coefficient, imagine there is a '1' in front of the variable.

[tex]4 +(1)x+(1)x+2x+5+3+(1)x=?[/tex]

From here, you can combine like terms.

Remember, combine means to add.

Like terms are terms whose variables (such as x or y) with any exponents are the same (such as x² or y²).

[tex](1)x+(1)x+2x+(1)x=5x.[/tex]

[tex]4+5+3=12.[/tex]

[tex]4+(1)x+(1)x+2x+5+3+(1)x=5x+12.[/tex]

I, therefore believe 5x + 12 is equal to 4 + x + x + 2x + 5 + 3 + x.

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

Explanation:

Start with the largest four digit number possible (9999) and see if it's divisible by 3, 6 and 9

When dividing the number over 6, we don't get a whole number. So 6 is not a factor of 9999, and we cross 9999 off the list.

------------------------

Decrease the number by 9. We do this because the result will be another multiple of 9 (which is automatically also a multiple of 3 as well, since 9 = 3*3)

So we go from 9999 to 9990

Repeat the last set of steps we did earlier

Every result is a whole number, which shows that 9990 is a multiple of 3, 6 and 9. In other words, 9990 is divisible by 3, 6 and 9. It's the largest such 4 digit number.

Answer:

1st answer 52+7=59

2nd answer 52-18=32

3rd answer 74-52=22

4th answer 2×52=104

please mark it as the brainlliest answer

Answer:

sana Po nakatulong

stay safe po

Answer:

The cost per printer is $240 and the cost per computer is $530

Explanation:

Make the equation from both parts of the problem and solve them.

Answer:

D. 3

Step-by-step explanation:

Distance between A and D = AD = 9 units

Distance between A and B = AB = 3 units

[tex] \frac{AD}{AB} = \frac{9}{3} [/tex]

Simplify by dividing

[tex] \frac{AD}{AB} = \frac{3}{1} [/tex]

[tex] \frac{AD}{AB} = 3 [/tex]

The answer is 3