Which equation represents a line which is parallel to the y-axis?
A.x=−4y
B.x=−8
C.y=x−3
D.y=−7

Answer:2

Step-by-step explanation:

1+1 es 2

The factored form of the given algebraic expression by factoring out the Greatest Common Factor is 6y^2 (3y^2 + 4y + 1). Option A is correct.

We are given an algebraic expression:

18y^4 + 24y^3 + 6y^2

We need to factorize by factoring out the Greatest Common Factor.

In the given algebraic expression, we can see that;

6 is the Greatest Common Factor of 18, 24, and 6.

y^2 is the Greatest Common Factor of y^4, y^3 and y^2.

So, we will take the common 6y^2 from the given expression;

18y^4 + 24y^3 + 6y^2

= 6y^2 (3y^2 + 4y + 1)

So, option A is correct.

Thus, the factored form of the given algebraic expression by factoring out the Greatest Common Factor is 6y^2 (3y^2 + 4y + 1). Option A is correct.

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The most reasonable estimate of the correlation coefficient is 0.9

The correlation coefficient gives an estimate of how strong is the linear relationship between two variables.

The correlation coefficient, r, is given by the formula;

[tex]r = \dfrac{\sum(x_i-\overline x)\cdot (y_i-\overline y)}{\sqrt{\sum (x_i-\overline x)^2\sum(y_i-\overline y)^2} }[/tex]

Where;

[tex]x_i[/tex] = The ith x-value

[tex]\overline x[/tex] = The mean (average of the x-values)

[tex]y_i[/tex] = The ith y-value

[tex]\overline y[/tex] = The mean (average of the y-values)

The give points on the scatter plot graph are;

(8, 9), (6, 9), (6, 6), (5, 5), (4, 5), (3, 4), (3, 3), (2, 4), (1, 2), (1, 3)

Plotting the above points on MS Excel gives;

The equation of the regression line is; y = 0.9407·x + 1.3313

The square of the correlation coefficient, R² = 0.8322

Therefore, R = √(0.8322) ≈ 0.9122

The option that is the most reasonable estimate of the correlation coefficient is therefore; 0.9

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∠A= ∠R , and the triangle is congruent.

What are angles?

acc to our question-

Hence,∠A= ∠R , and the triangle is congruent.

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The profit made from the business that receives an initial $100 investment are as follows;

1. The amount received from the investment is $15

2. The number of lawns that should be mowed to buy the switch is 23 lawns

3. The profit made from the business considering the cost and the initial investment of the parents is $170

An investment is the money directed towards an asset purchase to increase the valuation of the business and products within a time period.

The amount invested = $100

The amount desired as return = 10% of the amount made from the business

1. The amount charged per lawn = $15

The number of lawn mowed = 10

The revenue of the business = 10 × $15 = $150

The amount paid as return on investment = 10% × $150 = $15

2. The amount required to buy the switch = $300

The number of lawns to be mowed, n, is therefore;

300 = 15 × n - 10% × 15 × n = 15·n - 1.5·n = 13.5·n

300 = 13.5·n

n = 300/13.5 ≈ 23 ( rounding up to the nearest whole number)

The number of lawns to be mowed is 23 lawns

3. The revenue from mowing 20 lawns is 20 × $15 = $300

The amount received by the investing parents = 10% × $300 = $30

The amount received from the parents investment = $100

The profit made after 20 lawns = $300 - $30 - $100 = $170

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The colour code needed is silver, green, red and blue for the tolerance of ± 10% on the 4 color band resistor.

For the given question;

Since it is silver in this instance, the resistor colour code table indicates a tolerance of  ± 10% .

Thus, the colour code needed is silver, green, red and blue for the 0.34

Ohm resistor with tolerance of ± 10%.

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Answer:

6

Step-by-step explanation:

-1^2-3(5)+20

1-15+20

1+5

6

hopes this helps

Answer:

Step-by-step explanation:

since x=y, you can either substitute for x or for y,

lets do x

-3x - x = 4

-4x=4

x=-1

Now we can just plug in

-3(-1) - y = 4

3-y = 4

y=-1

Answer:

yes it is

atleat i think

Gregg manages a small cleaning business. He has 16 employees. The cleaners get  $13/hour. The cleaning supervisors get paid $18/hour. then Gregg employed 11 cleaners and 5 cleaning supervisors.

Set up a system of equations where c is the number of cleaners and s is the number of cleaning supervisors:

c + s = 16

13c + 18s = 233

Solve by substitution by solving for c in the first equation:

c + s = 16

c = 16 - s

Then, plug in 18 - s as c into the second equation:

13c + 18s = 233

13(16 - s) + 18s = 233

Solve for s:

208 - 13s + 18s = 233

208 + 5s = 233

5s = 25

s = 5

Then, plug in 5 as s into the first equation:

c + s = 16

c + 5 = 16

c = 11

So, Gregg employed 11 cleaners and 5 cleaning supervisors.

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Answer: 1080 [tex]cm^{2}[/tex]

Determine the values of b1, b2, and b3, the sides of the triangular base. Also determine the value of h, the height of the triangular base and l, the length of the prism (the length between the bases).

The sides of the triangular base are:

b1 = 13 in.

b2 = 14 in.

b3 = 15 in.

The triangular base is a right triangle, and so the height is one of our sides. We will use

h = 12 in.

The length of the prism is

l = 20 in.

total surface area = bh + (b1+b2+b3)*l

bh = 12*20 = 240 [tex]cm^{2}[/tex]

l * (b1+b2+b3) = 20*(13 + 14+ 15) = 840 [tex]cm^{2}[/tex]

TSA = bh + l * (b1 + b2 + b3) = 240 + 840 = 1080 [tex]cm^{2}[/tex]

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Answer:

403.071

Step-by-step explanation:

add

Answer:

horizontal line: y = 12

vertical line: x = -3

Step-by-step explanation:

The horizontal line has 12 as the y-coordinate for all its points.

y = 12

The vertical line has -3 as the x-coordinate for all its points.

x = -3

Answer:

x = -3

y = 12

Step-by-step explanation:

For a point (x, y):

A horizontal line is represented by the equation y = a where (0, a) is the y-intercept of the line.

A vertical line is represented by the equation x = a where (a, 0) is the x-intercept of the line.

Therefore, for the given point (-3, 12):

The maximum number of pages the report can have, using scientific notation, is of:

2 x 10^6.

A number in scientific notation is written as follows:

[tex]a \times 10^b[/tex]

With the base symbolized [tex]a \in [1, 10)[/tex], meaning that it can assume values from 1 to 10, with an open interval at 10 meaning that for 10 the number is written as 10 = 1 x 10¹, meaning that the base is 1.

For this problem, the maximum number of pages that the report can have is given by the following division:

Maximum number of pages = Total capacity/Size of page.

These variables, from the text, are given as follows:

Hence the number of pages is obtained as follows:

Maximum number of pages = 4 x 10^6 KB / (2 KB/ page) = 2 x 10^6 pages.

When two numbers are divided in scientific notation, the bases are divided(4/2 = 2), while the exponents are subtracted (6 - 0 = 6).

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The correct answer is Option 'B'.

We are drawing cards without replacement,

So first card is a diamond  is 13/52 and

Second not a diamond is 39/51

51 because we have picked 1 card in the first draw.

so final answer is

(13/52) *(39/51) = 0.1912.

Therefore, the probability that the first card drawn is a diamond and the second card drawn is not a diamond is 0.1912.

Probability refers to possibility. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain occurrences. The degree to which something is likely to happen is essentially what probability means.

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The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance.

A mathematical equation is a statement that two amounts or values are equal, such as 6 x 4 = 12 x 2. 2. A noun that counts. When two or more components must be taken into account collectively in order to comprehend or describe the overall situation, this is known as an equation.

Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.

X2+Y2 =53

= 53 + (50-1)(-4)

= 53-196

= -143

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The side length of the smaller square is 3 cm.

Given that:-

Length of the larger square = [tex]3\sqrt{2}[/tex] cm.

We have to find the length of the smaller square.

As the length of the larger square is equal to the diameter of the circle

Hence,

Diameter of the circle = [tex]3\sqrt{2}[/tex] cm

Now,

The diameter of the circle is equal to the diagonal of the square.

Hence, diagonal of the square =  [tex]3\sqrt{2}[/tex] cm

Let the length of the square be x cm.

Hence, by pythagoras theorem, we can write,

[tex]x^2+x^2=(3\sqrt{2} )^2\\x^2+x^2=18\\2x^2=18\\x^2=9\\[/tex]

x = 3 cm

Hence, the length of the smaller square is 3 cm.

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Answer:

all are 0

thats why you should do y+4=4-7=×-7=×+4=0

Answer:

for #2 do b

Step-by-step explanation:

The rate of change of radius of the circle when the radius of the circle is 44 feet is 0.64 ft/s.

The area of the circle with radius R us given by,

A = πR²

It is given that the area is increasing at a constant rate of 178 square feet per second.

dA/dt = 178 ft²/s

Also, A = πR²

Differentiating A with respect to time,

dA/dt = 2πR.dR/dt

The rate of change of the radius is asked when the radius is 44 feet.

So, putting R = 44 ft.

dA/dt = 2π(44)dR/dt

178 = 2π(44)dR/dt

dR/dt = 0.64 ft/s

So, the rate of change of radius is 0.64 ft/s.

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The equation would be 5(x + 3) = 45

To solve:

1) Distribute 5 to x and then 5 to 3

2) That gives you this equation: 5x + 15 = 45

3) Then subtract 15 from both sides

4) You should get this: 5x = 30

5) Then divide 5/5 and 30/5 to isolate the x

6) The answer should be: x = 6

Have a good day/night :)

The value for p is 30.

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Answer:

-0.2

Step-by-step explanation:

14.9-15.1= -0.2

To do equations like this in the beginning I used to switch the terms and then add a negative symbol in front of it

I would solve it like this

15.1-14.9

.2

And now since I switched the terms I change the sign to negative

-0.2

Hopes this helps please mark brainliest

The value of a=2 and b= 4.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

a + 1 / b-1 = 5/1 and a-1/ b+ 1 = 1/1

So, a + 1 / b-1 = 5/1

now, cross multiplying

a+ 1 = 5b - 5

a- 5b = -6............(1)

Also, a-1/ b+ 1 = 1/1

a-1 = b + 1

a - b = 2 ..............(2)

solving Equation (1) and (2) , we get

2+ b - 5b= -6

-4b = -8

b= 2

and, a = 2 + 2 = 4

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Answer:

-2 ; -1 ; 0 ; 1

Step-by-step explanation:

the inequality is satisfied in this interval [-2.5,1].

We are searching the integers: -2 ; -1 ; 0 ; 1

All the values of x that satisfy the inequality will be;

⇒ x = - 2, - 1, 0, 1

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is given.

Now,

The solution of the inequality are given as;

⇒ x ∈ [- 2.5, 1]

But we can find the integers which satisfy the inequality.

Hence, All the values of x that satisfy the inequality will be;

⇒ x = - 2, - 1, 0, 1

Thus, All the values of x that satisfy the inequality will be;

⇒ x = - 2, - 1, 0, 1

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Answer:

0.386 kiloliters

Step-by-step explanation:

because I used the calculator all I gotta do is divide the volume :)

Answer:

the three dots represent 'therefore'

Step-by-step explanation:

as shown in picture uploaded ^^

As, in our question we are doing 20 trials to get the number of on-time flights. Hence, this is a binomial experiment.

The value of p=0.8 and n=20

The probability that exactly 12 flights are on time = 0.1772

The probability that exactly fewer than 12 flights are on time =  0.1049

The probability that at least 12 flights are on time = 0.8951

The probability that between 10 and 12 flights, are on time = 0.1795

(a) Binomial probability is the probability of exactly 'k' successes on 'n' repeated trials in an experiment which has two possible outcomes.

As, in our question we are doing 20 trials to get the number of on-time flights. Hence, this is a binomial experiment.

(b) As, the probability of success on an individual trial is p and here success means the flight is on-time so the value of p be,

p = 80% = 0.8

As, we made 20 trials and n is the total number of trials then,

the value of n be,

n = 20

(c) Now, if the probability of success on an individual trial is p ,

Then the binomial probability is C(n,x)⋅p^x⋅(1−p)^(n−x)

The probability that exactly 12 flights are on time, be

P(X=12) = C(20,12)⋅(0.8)^12⋅(1−0.8)^(20-12)

P(X=12) = C(20,12)⋅(0.8)^12⋅(0.2)^(8)

P(X=12) = 10,07,760×0.0687×0.00000256

P(X=12) = 0.1772

(d) Now, the probability that exactly fewer than 12 flights are on time, be

P(X<12) = 1 - P(X>12)

So, P(X>12) = P(X=13)+P(X=14)+P(X=15)+P(X=16)+P(X=17)+P(X=18)+P(X=19)+P(X=20)

So, P(X>12) = 0.0545 + 0.0364 + 0.1746 + 0.2182 + 0.2054 + 0.1369 + 0.0576 + 0.0115

P(X>12) = 0.8951

P(X<12) = 1 - 0.8951

P(X<12) = 0.1049

(e)  Now, the probability that at least 12 flights are on time, be

P(X>12)=0.8951

(f) The probability that between 10 and 12 flights, are on time, be

P(X=10)+P(X=11)+P(X=12) = 0.0020 + 0.0003 + 0.1772

P(X=10)+P(X=11)+P(X=12) = 0.1795

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