3. (02.04 MC)
Choose the equation that represents a line that passes through points (-6, 4) and (2, 0).

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.

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)

It is given that the exchange rate is $3 per Dinar. It is required to find how many Dinars you will get if $54 is exchanged.

Since 1 Dinar is equivalent to $3, it follows that the number of Dinars equivalent to $54 is:

The answer is 18 Dinar.

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

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 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:

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.

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)

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

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

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

In order to find possible dimensions for the scaled rectangle, the proportion between the dimensions of the rectangles must be the same.

So first let's find this proportion for rectangle R:

Now, let's find the proportion of the possible options of rectangle S:

So the correct options are the first, second and fourth options.

EXPLANATION:

We must replace in the equation given the altitude in the variable x ; the exercise is as follows:

Step-by-step explanation:

Plot the point ​(3​,​3):

this means where x = 3 and y = 3

Answer:

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.

Given:

Cost of Car is $6,345

Tax rate is 6%

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

https://brainly.com/question/2610134

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A car can travel 28 miles per gallon of gas. How far can the car travel on 8 gallons of gas?

Applying proportion

28/1=x/8

solve for x

x=(28)*8

x=224 miles

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.

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

Given:

The objective is to divide the 4921÷ 63​ using compatible numbers.

Explanation:

First, the compatible numbers are,

To calculate division:

Now, the division can be performed as,

Hence, the value of the division is 82.

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

Answer:

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

Answer:

From the solution the largest possible integer value of x is;

Explanation:

Given the inequality;

To solve, let's add 1 to both sides of the inequality;

then let us divide both sides of the inequaty by -1.

Note: since we are dividing by a negative number the inequality sign will change.

Therefore, From the solution the largest possible integer value of x is;

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]

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

Answer: x = 0