Use compatible numbers.4,921 ÷ 63

12

14

36 blocks

56 blocks

108 blocks

The length of section 1 = 8

The length increases by 2 uits as the section increases

Section 2 length of block = length of section 1 + 2 =

= 8 + 2

length of block = 10

Section 3 length of block = length of section 2 + 2

= 10 + 2

length of block = 12

Section 4 length of block = length of section 3 + 2

= 12 + 2

length of section = 14

Number of blocks needed:

if the blocks are counted,

For section 1 there are 6 rows . So we count the total number of blocks on each of them

= 4 + 4 + 6 + 6 + 8 + 8

Section 1 = 36 blocks

For section 2, we count the number of blocks on each row

= 4 + 4 + 6 + 6 + 8 + 8 + 10 + 10

section 2 = 56 blocks

For sectoion 3: The length and width increases by 2 respectively

previous length + 2 = 10 + 2 = 12

Due to the increase we would have two length of 12

= 4 + 4 + 6 + 6 + 8 + 8 + 10 + 10 + 12 + 12 = 80

Already given = 80

For section 4: The length and width increases by 2 respectively

previous length + 2 = 12 + 2 = 14

The increase causes an addition of two length of 14 blocks

Total blocks = 4 + 4 + 6 + 6 + 8 + 8 + 10 + 10 + 12 + 12 + 14 + 14

Total blocks for Section 4 = 108

Answer:

[tex]y-9=-\dfrac{8}{3}(x-7)[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{4.4cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ \\are two points on the line.\\\end{minipage}}[/tex]

Define the given points:

Substitute the defined points into the slope formula:

[tex]\implies \textsf{slope}\:(m)=\dfrac{1-9}{10-7}=-\dfrac{8}{3}[/tex]

[tex]\boxed{\begin{minipage}{5.8 cm}\underline{Point-slope form of a linear equation}\\\\$y-y_1=m(x-x_1)$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $(x_1,y_1)$ is a point on the line.\\\end{minipage}}[/tex]

Substitute the found slope and one of the points into the point-slope formula:

[tex]\implies y-9=-\dfrac{8}{3}(x-7)[/tex]

Given:

Cost of Car is $6,345

Tax rate is 6%

To solve for x, we need to apply distributive property as:

Answer: x = 0

Answer:

12-3X=X-3=5

Step-by-step explanation:

Answer:

32 meters

Step-by-step explanation:

If Jimmy ran straight from his house, the answer wouldnt be 45 because thats what he did originally when he ran a longer route from his home. 3.5 and 7 meters are too short because he ran at least 25 based off of when he turned from the West. 32 is the only reasonable answer because it would be a shorter distance than 45 meters but longer than 25 because of the route he takes in a straight line.

Answer:

here is the answer to your question

hope you get it well

We have 305 cakes. As we know

1) Gathering the data

Initial point 12th floor

2) She started on 12th floor and walked up 4 flights of stairs, assuming from each floor to another we have just 1 flight of stair. And we're using an addition expression, Hence, we can say:

12 +4-2+8=

16 +6

22

She ended up on the 22th floor

Part 1:

The probability that a single randomly selected value is greater than 231.1 equals one minus the probability that it is less or equal to 231.1:

P(x > 231.1) = 1 - P(x ≤ 231.1)

Now, to find P(x ≤ 231.1), we can transform x in its correspondent z-score, and then use a z-score table to find the probability:

x ≤ 231.1 => z ≤ (231.1 - 203.6)/35.5, because z = (x - mean)/(standard deviation)

z ≤ 0.775 (rounding to 3 decimal places)

Then we have:

P(x ≤ 231.1) = P( z ≤ 0.775)

Now, using a table, we find:

P( z ≤ 0.775) ≅ 0.7808

Then, we have:

P(x > 231.1) ≅ 1 - 0.7808 = 0.2192

Therefore, the asked probability is approximately 0.2192.

Part 2

For the next part, since we will select a sample out of other samples with size n = 16, we need to use the formula:

z = (x - mean)/(standard deviation/√n)

Now, x represents the mean of the selected sample, which we want to be greater than 231.1. Then, we have:

z = (231.1 - 203.6)/(35.5/√16) = 27.5/(35.5/4) = 3.099

P(x > 231.1) = 1 - P(x ≤ 231.1) = 1 - P(x ≤ 231.1) = 1 - P( z ≤ 3.099) = 1 - 0.9990 = 0.0010

Therefore, the asked probability is approximately 0.0010.

Solution

The integers are the set of real numbers consisting of the natural numbers, their additive inverses and zero. {...,−5,−4,−3,−2,−1,0,1,2,3,4,5,...} The set of integers is sometimes written J or Z for short. The sum, product, and difference of any two integers is also an integer.

The whole numbers are set of real numbers that includes zero and all positive counting numbers. Whereas, excludes fractions, negative integers, fractions, and decimals. All the whole numbers are also integers, because integers include all the positive and negative numbers

The integers are real numbers

Therefore the numbers are list of integers

Solution:

a) 0.38

b)0.36

c)0.33

Analysis:

a)Studying a language other than English: In this case, we add all probabilities of the chart, except None (Because that is people don't study a la

System of equations:

To solve the system by graphing, we have to remember that the point in which both graphs meet is the solution of the system.

• Graph of both equations:

As we can see, there is no point in which both meet. Then, this system has no solution.

Answer: none

EXPLANATION

Let's see the facts:

Austin and Carly deposit: $500

Interest rate= 1%

Compounding period = monthly

Total number of years = 2

Given the Compounding Interest Rate formula:

n is the compounding period

t is the number of years

r is te interest rate in decimal form

Replacing the given values will give us:

Solving the power:

Answer: Austin and Carly will be able to spend $510.09.

The value of h by solving the given relationship we get, h = 9

In the above question, a word problem is given with the following relations which are as

First we'll express the given word problem statements into mathematical equation expressions

Therefore, The difference of twice of h and 5 is as much as the sum of h and 4

It can be written as in mathematical equation form as

2h - 5 = h + 4

Now, we need to find the value of h by solving the above mathematical equation formed put of the given relationship

Here,

2h - 5 = h + 4

2h - h = 5 + 4

h = 9

Hence, The value of h by solving the given relationship we get, h = 9

To learn more about, word problems here

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Step-by-step explanation:

Plot the point ​(3​,​3):

this means where x = 3 and y = 3

Answer:

Answer:

(a) P = 0.0167

(b) P = 0.9833

(c) P = 0.0093

Explanation:

To answer these questions, we will use the binomial distribution because we have n identical events (13 households) with a probability p of success (27% still have a traditional phone landline). So, the probability that x families has a traditional phone landline can be calculated as

Replacing n = 13 and p = 27% = 0.27, we get:

Part (a)

Then, the probability that no families have a phone landline can be calculated by replacing x = 0, so

Part (b)

The probability that at least one family has a phone landline can be calculated as

Part (c)

The probability that at least eight families have a phone landline can be calculated as

So, each probability is equal to

Then, the probability is equal to

P(x≥8) = 0.0093

Therefore, the answers are

(a) P = 0.0167

(b) P = 0.9833

(c) P = 0.0093

we have that

The surface area of the pyramid is equal to the area of its square base plus the area of its four triangular faces

step 1

Find out the area of the square base

A=15^2

A=225 ft2

step 2

Find out the area of one triangular face

the area of a triangle is equal to

A=(1/2)(b)(h)

we have

b=15 ft

h ----> is the slant height

To find out the slant height, apply the Pythagorean Theorem

h^2=10^2+(15/2)^2

h^2=100+56.25

h=12.5 ft

therefore

A=(1/2)(15)(12.5)

A=93.75 ft2

step 3

The surface area is equal to

SA=225+4(93.75)

By definition, the commutative property of addition says that changing the order of addends does not change the sum, which is precisely what the equation is trying to show by changing the order of the sum, therefore, the property illustrated is the commutative property of addition.

The reflection over the x-axis is given by:

And the reflection over the y-axis is given by:

Thus, a function that is equivalent to the reflection of ABCD across both axis would be:

The possible values for any probability are between zero and one. With this in mind we conclude that A, B, C and E are allowed probabilities

It's important to know that a rational number can be expressed as fractions, but also when they are expressed as decimals, the decimal part repeats infinitely, that is, it has a pattern or finite decimal digits.

Answer:

[tex]6 \sqrt{6} [/tex]

Step-by-step explanation:

The square value of hypotenuse is equal to the square value of sum of the two legs:

[tex] {15}^{2} + {x}^{2} = {21}^{2} [/tex]

225 + x^2 = 441 subtract 225 from both sides

x^2 = 216 find the root of both sides

x = 6√(6)

We have the next given equation:

Now, we can solve for x using the exponent's properties:

Add both sides ln:

With the ln we can take down the exponent and simplify ln*e = 1.

Hence,

Hence, the correct answer is option B.

Answer:

Step-by-step explanation:

12 + 6 + 12 + 16 = 46

46 total students

out of those 46 students, 6 are sophomores

so put that into a fraction it becomes

[tex]\frac{6}{46}[/tex]

which equals

0.130434783

which in percentage is

13.0434783%

or 13% rounded

The scale factor is basically by what we need to multiply the original to get the dilated one.

Simple.

We can see that the original one is Trapezoid WXYZ and the dilated one is W'X'Y'Z'.

THe dilated trapezoid is definitely bigger than original. So the scale factor should be larger than 1.

One side of original is "6" and the corresponding side of dilated trapezoid is "14".

So, what we have to do to "6", to get "14"??

This is the scale factor!

To get 14, we have to multiply 6 with, suppose, "x", so:

Hence, SF is 7/3

From the attached image;

The next step is to add 8 to both sides of the equation to remove -8.

Since we added to the equation.

The step is an addition property of equality

In this problem, we have a vertical parabola open downward

that means

the vertex represents a maximum

looking at the graph

the maximum has coordinates (1,9)

therefore

The inverse function table of the function is given by the image at the end of the answer.

A function y = f(x) is composed by the following set of cartesian points:

(x,y).

In the inverse function, the input of the function represented by x and the output of the function represented by y are exchanged, meaning that the coordinate set is given by the following rule:

Thus, the points that will belong to the inverse function table are given as follows:

More can be learned about inverse functions at https://brainly.com/question/3831584

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Answer:

[tex]\begin{array}{|c|c|c|c|c|}\cline{1-5} \vphantom{\dfrac12} x &-8 &-4.5 & -4&0 \\\cline{1-5} \vphantom{\dfrac12} f^{-1}(x) &-2 & -1& 0&2 \\ \cline{1-5}\end{array}[/tex]

Step-by-step explanation:

The inverse of the graph of a function is its reflection in the line y = x.

Therefore, the mapping rule to find the inverse of the given ordered pairs is:

Therefore:

Completed table:

[tex]\begin{array}{|c|c|c|c|c|}\cline{1-5} \vphantom{\dfrac12} x &-8 &-4.5 & -4&0 \\\cline{1-5} \vphantom{\dfrac12} f^{-1}(x) &-2 & -1& 0&2 \\ \cline{1-5}\end{array}[/tex]

Answer:

it's 84.5 m ...................