Which equation represents a line passing through the point (8, 9)(8, 9) with a slope of 3?.

The answer to the given question is 111.

The complete question might be as follows:

I thought of a 3 digit number. Each digit is the square of the digit to the right. What is my number?

= x*100 + y*10 + z.

Requirements:

y = z^2

x = y^2.

Now we shall start to give values to z. Let us start with zero.

Hence, for the question: I thought of a 3 digit number. Each digit is the square of the digit to the right. What is my number? The answer is 111, because the 3 digit number that would fit the requirements mentioned is only 111.

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Answer: 16,000

100,000 x 0.04 x 4

    p         x    I     x T.  

x=-20/13 and y=77/13 are solutions of 5x+4y=-16 and y= 2x+9

Two or more expressions with an Equal sign is called as Equation.

The two equations are

5x+4y=-16 ...(1)

Five x plus 4 y equal to minus sixteen.

y= 2x+9 ...(2)

y equal to two times of x plus nine.

Substitute 2 in 1.

5x+4y=-16

5x+4(2x+9)=-16

5x+8x+36=16

13x+36-16=0

13x+20=0

13x=-20

x=-20/13=-1.53

substitute the value of x in y.

y=2(-20/13)+9

y=(-40+117)/13

y=77/13

Hence the value of x is -20/13 and y value is 77/13.

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Answer:

I don't know which one you needed so here you go.....

144/20 (improper fraction version)

7 4/20 (Mixed number answer.)  7 1/5 (Mixed number version simplified)

36/5 (Simplified improper fraction version)

Step-by-step explanation:

2 1/4. I'm going to multiply 4 and 2 which is 8. Then I'll do 1+8=9 so now I can put the 9 on top so it's going to look like this 9/4.  

3 1/5. I'm going to multiply 5 and 3 which is 15. Then I'll do 15+1=16 so now I can put the 16 on top and it's going to look like this 16/5.

Now that we have our two numbers (numbers that are bolded), let's multiply them. So first we want to multiply the numerators so 16*9=144.  So 144 is going to be the numerator to our answer.

Since we have multiplied the numerator we now multiply the denominators by each other so, 5*4=20

So our answer is going to be 144/20 (improper fraction version)

Or 7 4/20 (Mixed number answer.)

Hope this helps!!! (Please mark me brainliest)

Answer: 9m

Step-by-step explanation:

If we draw a right triangle, we can get a triangle with an angle of 18 degrees and a base of 18.5m. To get the height, we would do TOA or tan = opp / adj:

tan18 = x / 18.5

Multiply both sides by 18.5 to isolate x:

x = 18.5 * tan18

x = 6m (approximately)

This means that the taller building is 6 meters taller, so:

15m - 6m = 9m

Answer:

Ummm I dont even kno but s1

Step-by-step explanation:

Answer:

-65d - 55

Step-by-step explanation:

Given expression,

→ -5(13d + 11)

Simplifying the expression,

→ -5(13d + 11)

→ (-5 × 13d) + (-5 × 11)

→ -65d + (-55)

→ -65d - 55

Thus, answer is -65d - 55.

The correct option regarding the slope and the intercept of the linear functions is given as follows:

The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).

The definition of a linear function is presented as follows:

y = mx + b.

In which the coefficients of the function are given as follows:

The points that compose function f(x) are given as follows:

(0,1) and (4,3).

Hence:

The points that compose function g(x) are given as follows:

(0,1) and (4,-1).

Hence the coefficients are as follows:

Hence the correct option is:

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A manufacturing machine has a 7% defect rate. If 4 items are chosen at random,

The probability of randomly choosing atleast one defective item would be 0.3043

Given the Parameters :

   Defect rate = P(defect) = 0.07

Probability = required outcome / Total possible outcomes

   P(atleast 1 is defective) = 1 - P(none is defective)

P(not defective) = 1 - P(defective) = 1 - 0.07 = 0.93

P(none is defective) = P(non defective)^4

P(none defective) = 0.93 × 0.93 × 0.93 × 0.93 = 0.7480

P(atleast one is defective) = 1 - 0.7480 = 0.252

Therefore, probability of atleast one defective item is 0.252.

Hence the answer is, the probability of randomly choosing atleast one defective item would be 0.3043

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The like terms to the Linear expression: 4a-4+6a-11 is 10a - 15

A Linear equations are the equations of degree 1. It is the equation for the straight line.

Collect the like terms of the expression

4a +6a -4 -11

Add the like terms

10a -15

Therefore the like terms in the linear expression is 10a -15

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Answer: y = 8  

Step-by-step explanation:

Answer: -8x+y=1

Step-by-step explanation:

Standard form is Ax+By=C

y=8x+1

Move the 8x to the other side of the equation.

y-8x=1

-8x+y=1

The value of f(4) = 0 by the given graph.

What is graph?

Graph is  diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.

Given graph is straight line, and the equation of line is given as

y =mx+b

where m is the slope and as we know  y is dependent variable,

we can write it as

f(x)= mx +b

The coordinates are (4,0) and (0,2)

m = 2-0/0-4

m = -1/2

y = -1/2 x +b

we can see the line intersect the y-axis at 0,2

b =2

y = -1/2 x +2

at x =4

f(4) = -2+2=0

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A camera store develops 2100 rolls of film in one month. Customize one that double prints from 1500 of these rolls, then the ratio of rolls with double prints to rolls develop would be 5:7.

What is the ratio in mathematics?

A ratio in mathematics shows how many times one number contains another. For example, if a bowl of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon-to-orange ratio is 6:8, and the orange-to-total fruit ratio is 8:14.

A camera store develops 2100 rolls of film in one month. Customize one that double prints from 1500 of these rolls.

Then the ratio of rolls with double prints to develop = 1500/2100

Simplifying the above ratio we get

                                                                       = 5/7

Hence, the ratio of rolls with double prints to rolls develop would be 5:7.

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The probability that the player will receive a blackjack from  a player is dealt 2 cards from a standard deck of 52 well-shuffled cards is 0.0483.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.

Here,

Combinations of drawing 1 ace * combinations of drawing 1 face cards / all possible 2 card combinations

4C1 * 16C1 / 52C2

4 * 16 / (52 * 51/2)

=64/1326

=.0483

When a player is dealt two cards from a standard deck of 52 properly shuffled cards, the likelihood that they will get a blackjack is 0.0483.

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Hence, there should be 5 pounds of apples and 7 pounds of grapes in 12 pounds.

acc to our question-

Hence, there should be 5 pounds of apples and 7 pounds of grapes in 12 pounds.

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The correct formula to represent the free throw percentage for the basketball team is given by FT% = FTM/FTA × 100%

The percentage of any quantity is measured by multiplying the ratio of the successful amount and the total amount by 100.

Here

Total number of free throws attempted = FTA (this is the total amount)

Total number of free throws made = FTM (this is the successful amount)

Required percentage = (FTM / FTA ) × 100%

Hence the required correct option is the second one:

FT% = FTM/FTA × 100%

The English word "percentage" derives from the Latin phrase "per centum," which means "by the hundred." Percentages are fractions with a denominator of 100. It is a relationship, in other words, where the value of the whole is always taken to be 100.

Calculating a percentage in terms of 100 is known as calculating a percentage. You can determine a percentage in one of two ways:

We employ a unitary method by changing the denominator of the fraction to 100.

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Answer:

4[tex]x^{4}[/tex]

6[tex]x^{5}[/tex]

Step-by-step explanation:

For the first problem.  I am not sure what is going on with the -4.  Is it being added or multiplied by 2[tex]x^{2}[/tex]?  I left it out.

[tex](2x^{2}) ^{^{2} }[/tex] means 2[tex]x^{2}[/tex] (2[tex]x^{2}[/tex]) Which is 4[tex]x^{4}[/tex]

(2[tex]x^{2})\\[/tex]([tex]3x^{3)}[/tex]  multiple the 2 and the 3 and add the exonents

6[tex]x^{5}[/tex]

Answer:

no because area is multiplication, but perimeter is adding.

The probability that there will be 4 failure in particular week is 0.00622.

e(x) = 0.75 = v(x)

Given,

If electricity power failures occur according to a Poisson distribution with an average of 3 failures over 4 weeks, what is the probability that there will be 4 failures during a particular week?

To know e(x) are v(x);

From the given info,

So 3/4 failure per 4/4 weeks.

That means on average 0.75 failures per week.

The probability that there will be 4 failure in particular week,

[tex]\frac{e^{-0.75}0.75^{4}}{4!}=\frac{0.4723*0.3164}{24}=0.00622[/tex]

e(x) = Average = 0.75

Poisson distribution have mean and variance same.

So v(x) = 0.75

Hence, the probability that there will be 4 failure in particular week is 0.00622.

e(x) = 0.75 = v(x)

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The area is increased by  204  ft².

What is rectangle?

A rectangle is a type of quadrilateral with parallel sides equal to each other and four equal 90-degree vertices. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.

Initial length l= 4 ft

Initial width l= 17 ft

Area = l*w = 4*17 = 68 ft²

When length and width of the rectangle are doubled:

l=2*4=8 ft

w= 2*17= 34 ft

Area= 8*34= 272 ft²

Difference = 272 - 68 = 204  ft²

Thus, the area is increased by  204  ft².

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According to the unitary method, the cost of each postcard is $0.7.

Unitary method:

Unitary method is used to find the value of a unit from the value of a multiple and the value of a multiple from the value of a unit.

Given,

Claudia buys 12 postcards, 12 stamps, and 1 pen. The postcards cost twice as much as the stamps. The pen costs $14.10.

Here we need to find the cost of the postcard.

In the given question, we have two variables, the price of the postcard and the price of the stamp, since the price for the pen is known.

And we also have the total cost of the purchase that is $14.1.

Therefore, now we have to create an equation as shown:

=> (12 x postcards) + (12 x stamps) + pen = 14.1

This equation refers the total amount spent by Claudia, but here we know that each pen costs $1.5, therefore:

When we apply the value on the equation then we get,

=> (12 x postcards) + (12 x stamps) + 1.5 = 14.1

=> (12 x postcards) + (12 x stamps) = 14.1 - 1.5

Therefore, (12 x postcards) + (12 x stamps) = 12.6

Here we also know that the postcards cost twice as much as the stamps, Then it can be written as,

postcards = 2 x stamps

By apply this value on the equation then we get the value of the stamp as,

=> (12 x (2 x stamps)) + (12 x stamps) = 12.6

=> (24 x stamps) + (12 x stamps) = 12.6

=> 36 x stamps = 12.6

Then the value of on stamp is stamps = 12.6/36

Therefore, the value of the stamps is 0.35

When we apply these values, then we get,

postcards = 2 x stamps = 2 x 0.35 = 0.7

Therefore, each postcard cost $0.7.

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Answer:

21.17 to 2d.p.

Step-by-step explanation:

Using Pythagoras rearrage to find b c^2-a^2 = b^2

c= hypothenuse

32^2 = 1024 and 24^2 = 576

1024 -576 = 448

[tex]\sqrt{448}[/tex] = 21.1660105

21.17 to 2d.p.

Answer:

Below

Step-by-step explanation:

Graph the two lines....where they intersect is the solution:

(-4,3)

OR sub in x = -4 into the first equation to find y = 3

Inverse    [tex]f^{-1}(x) = \frac{log(x)}{log7}[/tex]    and  [tex]f(x) = 10^{x}[/tex].

[tex]f(x) = 7^{x}[/tex]

First, replace f(x) with f(y).

Now, [tex]y = 7^{x}[/tex]  will become [tex]x = 7^{y}[/tex]

Taking log on both sides,

log(x) = y(log 7)

y = log(x)/log 7.

Similarly, [tex]f^{-1}(x) = log_{10}x[/tex]

replace f(x) with f(y).

[tex]x = f^{-1}(y) = log_{10}y[/tex]

[tex]y = 10^{x}[/tex]

Hence, [tex]f(x) = 10^{x}[/tex].

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Answer:

After 12 Seconds the cable would be 42 Ft down in depth

Step-by-step explanation:

3 1/2 Ft = 1 Second

3 1/2 Ft x 12 Seconds = 42Ft in Depth

The change in the depth of the fish trap after 12 second is 30 feet.

The mathematical operation of multiplication is arithmetic. Additionally, it involves repeating the same forms of statements.

Example: 2 + 3 signifies that 2 is multiplied by 3 or that 3 is multiplied by 2 times.

Given, a cable on a fishing boat lowers a fish trap into a lake at a rate of 3 1/2 feet per second.

[tex]3\frac{1}{2}[/tex] = 5/2 feet per second.

To find the change in depth of the fish trap after 12 seconds:

Multiplied by 12 to the rate of feet per second.

5/2 x 12

= 30 feet

The change of rate is 30 feet per 12 second.

Therefore, the change in depth is 30 feet per 12 second.

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If the height of the triangle is (6x + 10) and the base of the triangle is (3/2) the area of the triangle is 14.25 square units.

What is the area of the triangle?

The area of a triangle is the region bounded by its perimeter or its three sides.

If the height of the triangle is 'h' and the base is 'b', the area of the triangle would be

                   Area = 1/2 × height × base

The base of the triangle is x = 3/2.

Height of the triangle = 6x + 10 = 19.

Area of triangle = 1/2×3/2×19

                          = 14.25 square units.

Hence, If the height of the triangle is (6x + 10) and the base of the triangle is (3/2) the area of the triangle is 14.25 square units.

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Answer: 1. no 2. 104

Step-by-step explanation:

Applying the midpoint formula, the values of a and b are:

B. a = -8, b = -12

The midpoint formula is used to find the coordinates of the midpoint of a segment, which is given as:

M(x, y) = [tex](\frac{x_2 + x_1}{2}, \frac{y_2 + y_1}{2})[/tex].

Given the points below:

(10, a) = [tex](x_1, y_1)[/tex]

(b, 6) = [tex](x_2, y_2)[/tex]

M(-1, -1) = (x, y)

Plug in the values:

(-1, -1) = [(b + 10)/2, (6 + a)/2]

Solve the variables separately

-1 = (b + 10)/2

-2 = b + 10

-2 - 10 = b

b = -12

-1 = (6 + a)/2

-2 = 6 +a

-2 - 6 = a

a = -8

The answer is: B. a = -8, b = -12

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Answer:

Since [tex]s=\frac{3}{4}ft[/tex],

27 ÷ s² = 27 ÷ [tex](\frac{3}{4})^{2}[/tex]

            = 27 ÷ [tex]\frac{9}{16}[/tex]

            = [tex]\frac{27}{1}[/tex] × [tex]\frac{16}{9}[/tex]

            = 48

∴ Mr Grant would need to buy 48 of such square tiles.

Step-by-step explanation:

what that simply means is that the area he needs the files for is 27 ft².

as the tiles are squares, each one has an individual area of s² = 3/4 × 3/4 = 9/16 ft²

how many tiles do we need ?

as b many as how often the area of one tile fits into the total area :

27 ÷ s² = 27 / 9/16 = 27/1 / 9/16 = 27/1 × 16/9 =

= 3/1 × 16/1 = 3×16 = 48

he has to buy 48 tiles.