1. Identify the place value for the following: 162.891

Answers

Answer 1

Answer:

Hundreds : 1

Tens : 6

Ones : 2

.

Tenths : 8

Hundredths : 9

Thousandths : 1


Related Questions

8y + 15x + 3y - 12x - 3x

Answers

Answer:

11y is the exact value.

Step-by-step explanation:

An executive has 6 skirts, 8 jackets, and 6 blouses that all coordinate. If an outfit consists of one skirt, one
jacket, and one blouse, how many different outfits does she have?

Answers

Answer: 288

Work Shown:

6*8*6 = 288

Why does this work? Consider a table that is 6 rows by 8 columns. The rows represent the number of skirts and 8 is the number of jackets. That produces 6*8 = 48 different skirt & jacket combos. We can extend this idea out to any number of items instead of just 2.

Answer:

6

Step-by-step explanation:

you keep counting until you reach the lowest number of whatever you need to make it equal

6-1-1-1-1-1-1

6-1-1-1-1-1-1

8-1-1-1-1-1-1

What are the solutions to this quadratic equation? x2+6x-5 A. B. C. D.

Answers

Factoring x2-6x+5

The first term is, x2 its coefficient is 1 .
The middle term is, -6x its coefficient is -6 .
The last term, "the constant", is +5

Step-1 : Multiply the coefficient of the first term by the constant 1 • 5 = 5

Step-2 : Find two factors of 5 whose sum equals the coefficient of the middle term, which is -6 .

-5 + -1 = -6 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -5 and -1
x2 - 5x - 1x - 5

Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-5)
Add up the last 2 terms, pulling out common factors :
1 • (x-5)
Step-5 : Add up the four terms of step 4 :
(x-1) • (x-5)
Which is the desired factorization

Equation at the end of step
1
:

(x - 1) • (x - 5) = 0
STEP
2
:
Theory - Roots of a product

2.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

2.2 Solve : x-1 = 0

Add 1 to both sides of the equation :
x = 1

Solving a Single Variable Equation:

2.3 Solve : x-5 = 0

Add 5 to both sides of the equation :
x = 5

Supplement : Solving Quadratic Equation Directly

Solving x2-6x+5 = 0 directly
Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

Parabola, Finding the Vertex:

3.1 Find the Vertex of y = x2-6x+5

Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 3.0000

Plugging into the parabola formula 3.0000 for x we can calculate the y -coordinate :
y = 1.0 * 3.00 * 3.00 - 6.0 * 3.00 + 5.0
or y = -4.000

Parabola, Graphing Vertex and X-Intercepts :

Root plot for : y = x2-6x+5
Axis of Symmetry (dashed) {x}={ 3.00}
Vertex at {x,y} = { 3.00,-4.00}
x -Intercepts (Roots) :
Root 1 at {x,y} = { 1.00, 0.00}
Root 2 at {x,y} = { 5.00, 0.00}

A local hamburger shop sold a combined total of 813 hamburgers and cheeseburgers on Saturday. There were 63 more cheeseburger sold than burgers. How many hamburgers were sold on Saturday?

Answers

9514 1404 393

Answer:

  375 hamburgers

Step-by-step explanation:

Let h represent the number of hamburgers. Then h+63 is the number of cheeseburgers, and the combined total is ...

  h +(h +63) = 813

  2h = 813 -63 = 750

  h = 750/2 = 375

375 hamburgers were sold on Saturday.

_____

Additional comment

In a "sum and difference" problem like this, the smaller number is half the difference between the sum and the difference. h = (813 -63)/2 = 375. This generic solution applies to all "sum and difference" problems.

Please look at picture for question.

Answers

Answer:

The answer is D ane B

Step-by-step explanation:

The expression [tex](8z-4)(-7)[/tex] you would have to distribute -7 to get [tex]-56z+28[/tex]

The same goes for 40 in the expression [tex](-1.4z+0.7)*40[/tex]

In a recent survey of 288 people, 72 said that their favorite color of car was white. What percent of the people surveyed didn't like white cars?Write 2 over 5 as a percent.

Answers

9514 1404 393

Answer:

  75%

Step-by-step explanation:

The number for whom white was not a favorite was ...

  288 -72 = 216

The percentage whose favorite was not white was ...

  216/288 × 100% = 75% . . . didn't like white

Apply the distributive property to factor out the greatest common factor.
6+30=6+30

Answers

6 + 30

The greatest common factor is 6, so take it out. We get...

6 (1 + 5)

Let's verify it.

6 (1 + 5) = 6 + 30

6(6) = 6 + 30

36 = 36

LHS = RHS, Hence proved.

______

RainbowSalt2222 ☔

Suppose `h\left(t\right)=-5t^{2}+10t+3`is an expression giving the height of a diver above the water (in meters), t seconds after the diver leaves the springboard.



a. How high above the water is the springboard? Explain how you know.

Answers

Answer:

Step-by-step explanation:

a) The height of the springboard above the water should be h(0) : Read, the height at t = 0

h(0) = -5(0) + 10(0) + 3

h(0) = 0 + 0 + 3

h(0) = 3

a) 3 meters

b)  The time it takes the diver to hit water should be, the positive 0 solution for t.  Remember, in a quadratic equation,  there are two values for t where a parabola crosses the horizontal axis, which in this case would be t.  Just by looking at the function, h(t) = -5t2 + 10t + 3 , one should be able to see that it cannot be factored easily, so it requires the Quadratic Formula to find the zeros ; x = -b ±√(b2-4ac)  / 2a

Substitute t for x, and use the coefficients for a, b, c:

t  =  (-10 ± √((102 - 4(-5)(3)))/2(-5)

t = (-10 ±√(100 + 60))/-10

t = (-10 ±√160)/-10) ; Now factor the 160 to simplify:

t = (-10 ±√(10*16))/-10

t = (-10 ±4√10)/-10 ; Factor out leading coefficient of -2 from the numerator:

t = -2(5 ± 2√10)/-10

t = (5 ± 2√10)/5

Using a calculator to find the zeros, and disregarding the negative zero (because t starts at 0):

t ≈ 2.265

b) approx. 2.265 seconds for diver to hit water.

c) To find this, set the function equal to 3 to find what other value for t would be equal to 3 (we know one is 0).

-5tt + 10t + 3 = 3

-5t2 + 10t = 0 ; factor out t

t(-5t + 10) = 0

We know t = 0:

We also know that -5t + 10 = 0

-5t = -10

t = 2

c) 2 seconds. This is the time that diver would equal height of t=0 which is where he started, and where he equals the height of the springboard.

d and e) The peak of the dive (parabola), is determined using the formula h = -b/2a (Derived from the Quadratic Formula) to find the y value (in this case, the h value, answering e) and then using that result in the function to find the x value (in this case, the t value answering d) of the point where the parabola (dive path) reaches a maximum(height), or minimum(in upward opening parabolas).

h = -10/2(-5)

h = -10/-10

h = 1

h(1) = -5(1)2 + 10(1) + 3

h(1) = -5 + 10 + 3

h(1) = 8

d) At t = 1 second, diver will have reached peak of dive.

e) At t = 1 second, diver will have reached a maximum height of 8 meters.

Find the equation of the line which passes ​​​​​​through (0,7) at a gradient of 3

Answers

Answer:

y=3x+7

Step-by-step explanation:

y=mx+c

we have (0,7). (x,y)

so y-7/x-0=3

multiply by (x-0) both sides to get

y-7=3x take -7 to the other side of equal sign

it will be: Y=3X+7

What is the equation of the line in slop-intercept form?



Enter your answer in the blank spots




y= __x + __

Answers

Answer:

y = 2 1/2 x + 5

Step-by-step explanation:

We were recently going over this. Slope formula: y2 - y1 / x2 - x1. In our case the slope is 2 1/2, and the y-intercept is 5.

Tell me if I'm wrong :)

​(b) If the population doubled in size over 30 months and the current population is 20,000​, what will the population be 4 years from​ now?

Answers

Answer:

The population will be 160,000 in 3 years.

Step-by-step explanation:

Eric is helping his younger sister learn division. He is having a hard time explaining what a remainder is. Help Eric out by describing what a remainder is in your own words. What is the remainder when 76 is divided by 3?

Answers

Answer:

1

Step-by-step explanation:

The remainder is what’s left when you divide. The part you cannot divide.

You can divide 75 by 3 = 25, so the remainder is 1.

A grocery store clerk can scan 1 product every 1/2 of a second. At what rate can she scan products?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.

Answers

The grocery clerk can scan 2 items every second or 2/1 with 2 represrnting items and 1 representing seconds

Calculate the perimeter of a square with a side length of 3ft

Answers

The perimeter of a square is the length of one side multiplied by 4 ( the number of sides)

3 ft x 4 sides = 12 ft.

Perimeter = 12 ft.

How are expressions 1/4 of 12 and 12 divided by 4

Answers

0 is the awnser —————-1————-

what are the leading coefficient and degree of the polynomial?

Answers

Answer:

leading coefficient: 2degree: 7

Step-by-step explanation:

The degree of a term with one variable is the exponent of the variable. The degrees of the terms (in the same order) are ...

  6, 0, 7, 1

The highest-degree term is 2x^7. Its coefficient is the "leading" coefficient, because it appears first when the polynomial terms are written in decreasing order of their degree:

  2x^7 -7x^6 -18x -4

The leading coefficient is 2; the degree is 7.

__

Additional comment

When a term has more than one variable, its degree is the sum of the exponents of the variables. The term xy, for example, is degree 2.

The deepest point in the world is the Mariana Trench in the western Pacific Ocean. It is 36,198 ft below sea level. What integer represents this depth?

Answers

Answer:

-36,198 feet below sea level

Step-by-step explanation:

i need a lot of help from the smartest people now right now

Answers

Answer:

K) I, II, and III

Step-by-step explanation:

Given the quadratic equation in standard form, h = -at² + bt + c, where h is the height or the projectile of a baseball that changes over time, t.  In the given quadratic equation, c represents the constant term. Altering the constant term, c, affects the h-intercept, the maximum value of h, and the t-intercept of the quadratic equation.  

I. The h-intercept

The h-intercept is the value of the height, h, when t = 0. This means that setting t = 0 will leave you with the value of the constant term. In other words:

Set t = 0:

h = -at² + bt + c

h = -a(0)² + b(0) + c

h = -a(0) + 0 + c

h = 0 + c

h = c

Therefore, the value of the h-intercept is the value of c.

Hence, altering the value of c will also change the value of the h-intercept.

II. The maximum value of h

The maximum value of h occurs at the vertex, (t, h ). Changing the value of c affects the equation, especially the maximum value of h. To find the value of the t-coordinate of the vertex, use the following formula:

t = -b/2a

The value of the t-coordinate will then be substituted into the equation to find its corresponding h-coordinate. Thus, changing the value of c affects  the corresponding h-coordinate of the vertex because you'll have to add the constant term into the rest of the terms within the equation. Therefore, altering the value of c affects the maximum value of h.

III. The t-intercept

The t-intercept is the point on the graph where it crosses the t-axis, and is also the value of t when h = 0. The t-intercept is the zero or the solution to the given equation. To find the t-intercept, set h = 0, and solve for the value of t.  Solving for the value of t includes the addition of the constant term, c, with the rest of the terms in the equation.  Therefore, altering the value of c also affects the t-intercept.

Therefore, the correct answer is Option K: I, II, and III.

if something traveled 36 feet in 22 frames in a 60 fps video, how fast would that be in mph?

Answers

i calculated that the answer will be roughly 24.9 miles per hour.

Roughly 24.9 miles per hour

sunny earns $12 per hour delivering cakes. She worked for x hours this week. Unfortunately, she was charged $15 for a late delivery on Tuesday ?

Answers

Answer:

12x-15 dollars

Step-by-step explanation:

She worked for x hours, and earned $12 for every hour. This would be 12x. Then, she got charged $15 dollars, so -15. It would then be 12x-15 dollars.

Write a polynomial function of the least degree that has roots of 3 and (4 + i).

Roots:
Polynomial Function:

Answers

Answer:

x³ - 11x² + 41x - 51

Step-by-step explanation:

The least number of degree is 3 and the third root should be (4 - i) to make polynomial rational.

The polynomial is:

(x - 3)(x - (4 + i))(x - (4 + i)) = (x - 3)(x² -x(4 + i + 4 - i) + (4 + i)(4 - i)) = (x - 3)(x² - 8x + 16 - (-1)) = (x - 3)(x² - 8x + 17) = x³ - 8x² + 17x - 3x² + 24x - 51 = x³ - 11x² + 41x - 51

A radio station runs a promotion at an auto show with a money box with 12 $100 tickets, 11 $50 tickets, and 11 $25 tickets. The box contains an additional 20
"dummy" tickets with no value. Three tickets are randomly drawn. Find the probability that exactly two $100 prizes and no other money winners are chosen.

Answers

Answer:

I wanna have fun sike lol

Step-by-step explanation:

35 if the answer is correct

Answers

Answer:

  A.

Step-by-step explanation:

The attached graph has a y-intercept of -1 and a slope of 2, as the equation says it must.

__

The equation is in slope-intercept form, where the coefficient of x is the slope of the line. That is, the ratio of "rise" to "run" is 2: the line rises 2 grid squares for each grid square it runs to the right.

Rewrite 5/6 and 6/7 so they have a common denominator

Answers

Answer:

a command demonimater of 6 and 7 is 42

35/42 and 36/42

Hope This Helps!!!

The temperature in antartica is 20 degrees below freezing at night. During the day, the temperature increases
by 30 degrees. What is the daytime temperature?

Answers

Answer:

42

Step-by-step explanation:

if star x 2 equals square, then star x 8 equal

Answers

Answer:

Square times 4

Step-by-step explanation:

Square divided by 2 equals star right? Now we can plug in star in terms of square and we get square divided by 2 times 8, which is just Square times 4

Review the incomplete equation below. Select the number that makes the equation true.
35 × 64 = 1800 +_____ + 120 +20​

Answers

Answer:

300

Step-by-step explanation:

find what's 35 x 64 its 2240

then you add up 1800 and 120 and 20 n you get 1940

Then you subtract to see what's missing and you get

300

if you don't understand pls tell me

what is 3/4 ÷ 1/6 plz help ​

Answers

Answer:

4.5

Step-by-step explanation:

range of the function f(x) = -x^2 - 5

Answers

Answer:

Step-by-step explanation:

From a group of 15 men and 12 women, how many ways can you select a group of 2?
Answer:

Answers

The total number of ways this can be done together is 105 × 66 = 6930

This is a combination question question it has to do with selection.

In order to group 2 men from 15 men, this can be expressed using the combination formula as shown;

15C2 = 15!/(15-2)!2!

15C2 = 15!/13!2!

15C2 = 15×14/2

15C2 = 105 ways

Similarly in order to group 2 women from 12 men, this can be expressed using the combination formula as shown;

12C2 = 12!/(12-2)!2!

12C2 = 12!/10!2!

12C2 = 12×11/2

12C2 = 66 ways

The total number of ways this can be done together is 105 × 66 = 6930

Learn more about combination here: https://brainly.com/question/14492965

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