Help look at the image

Answer:

\(y=-x+1\)

Step-by-step explanation:

It helps to write the equation in slope-intercept formula to find the slope of an equation in the form: \(y=mx+b\) where "m" is the slope of the equation. We can take the equation given: \(-7x-7y=7\) and solve for "y" to get the equation in slope-intercept form:

\(-7x-7y=7\)

add 7x to both sides:

\(-7y=7x+7\)

Divide both sides by -7

\(y=-x-1\)

Now in this form we can tell that the coefficient of "x" (the m value) is our slope, which is -1. We need this slope to determine a parallel line as parallel lines share the same slope but different y-intercepts. So a general equation for a parallel line would be:

\(y=-x+b\text{ where b }\ne -1\)

We're given the point (-1, 2) and we can use it to solve for that "b" value.

We plug in -1 as x and 2 as y

\(2=-1(-1)+b\implies 2=1+b\implies 1=b\)

Now we just plug this into the general equation to get: \(y=-x+1\)

Jacinta has 2 blue marbles , 4 red marbles and 5 green marbles in a bag, all the marbles are the same size, she will select one marbles from the marble from the bag without looking what is the possibility that Jacinta will choose the green marble

The possibility that Jacinta will choose the green marble is 45.5%

Probability is a branch of math which deals with finding out the likelihood of the occurrence of an event.

Given that, Jacinta has 2 blue marbles, 4 red marbles and 5 green marbles in a bag, all the marbles are the same size,
We need to find the possibility that Jacinta will choose the green marble,

So, here we will use the concept of probability, probability tell us the chances of happening of an event.

The formula =

Probability = favorable outcomes / total outcomes.

Here, the favorable outcomes = green marble (5)

The total outcomes = total number of marbles = 5+4+2 = 11

So, P(getting the green marble) = 5/11 = 0.454545 = 45.5%

Hence, the possibility that Jacinta will choose the green marble is 45.5%

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Answer: B

Step-by-step explanation: Hope this helps :)

Answer:

Step-by-step explanation:

Let h(x) = y

The exponentail function is of the form :

\(y = ab^x\)

We have :

\(y_{_1} = ab^{x_{_1}}\\y_{_2} = ab^{x_{_2}}\\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{ab^{x_{1}}}{ab^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{b^{x_{1}}}{b^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = b^{(x_1-x_2)}\)

Given points : (4, 9) and (5, 34.2)

We have:

\(\frac{34.2}{9} = b^{(5-4)}\\\\\implies 3.8 = b\)

Writing the equation with x, y and b:

\(y = ab^x\\\\\implies 9 = a(3.8^4)\\\\a = \frac{9}{3.8^4} \\\\a = 0.043\)

a = 0.043

b = 3.8

When x = 6, y will be:

\(y = (0.043)(3.8^6)\\\\y = 128.47\)

This is not the y value in the question y = 59.4

Therefore (6, 59.4) does not lie on the graph h(x)

Answer:

See below

Step-by-step explanation:

x = amount of 30 % alcohol to use     total amount of alcohol = .30 x

25-x = amount of 5% alcohol to use    total amount of alcohol = .05 (25-x)

total alcohol in ingredients = total alcohol in end product

  .30x   +  .05(25-x)             =    .15 (25)

    .25x + 1.25 = 3.75

         x = 10 gal = 30%     then 5 % = 25-10 = 15 gal

Answer:

x=0

Step-by-step explanation:

y=-5x -6

10x + 2y = -12

Substitute y into the equation:

Use distributive property

Add like terms

Add 12 to  both sides of the equation

divide each side by 0

Answer:

Step-by-step explanation:

Since we are to show by Pythagoras that  the square will fit inside the circle without touching the edge of the circle , this means that we must find the value of the length of the diagonal of the square using Pythagoras.

For the square to fit in without touching the edge of the circle , this means that the diagonal of the square must be less than the diameter of the circle.

Length of the square is 5cm.

Recall Pythagoras theorem: it states that

the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides

=  +

= 25 + 25

= 50

Take the square root of both sides , that is

D =

D =  X  , since 50 = 25 x 2

D = 5

D ≈ 7.07

Answer:

The actual relative abundance will be "7.59".

Step-by-step explanation:

The predicted relative abundance for 3 inches rainfall will be:

= \(6.7 - (0.12\times 3)\)

= \(6.34\)

The residual will be:

= \(actual - predicted \ relative \ abundance\)

= \(1.25\)

Now,

The actual relative abundance will be:

= \(1.25 + predicted \ relative \ abundance\)

= \(1.25 + 6.34\)

= \(7.59\)

Remember that perhaps the residual positive value means that even the calculation underestimates the relative abundance. The real relative abundance, however, is 7.59.

The images of the graphs are missing and so i have attached them.

Answer:

Graph in option A

Step-by-step explanation:

y = 4^(x) + 3

Let's input some values of x and find the corresponding value of y and see if any of the graph matches the coordinates we get.

At x = 0;

y = 4^(0) + 3

y = 4

At x = 1;

y = 4^(1) + 3

y = 7

At x = 2;

y = 4^(2) + 3

y = 19

Looking at all the graphs, the only one with y = 4 when x = 0 is graph A

Answer: it’s answer 18+18+18+18

Step-by-step explanation:it’s basically18 times 4

Answer:

4 × 18 = 72

18 + 18 + 18 + 18 = 72

72 ÷ 18 = 4

Step-by-step explanation:

The tip of the minute hand on a clock travels a distance of 4π inches in 15 minutes.

The distance traveled by the tip of a minute hand on a clock can be calculated using the circumference formula.

The circumference of a circle is given by the formula:

C = 2πr C is the circumference, π is pi (approximately 3.14159) and r is the radius.

The distance from the center of the clock to the tip of the minute hand is the radius is 8 centimeters.

The circumference of the circle traced by the tip of the minute hand is:

\(\text{C} = 2\pi \text{r}\)

\(= 2\pi (8)\)

\(= 16\pi \ \text{centimeters}\)

Since the minute hand travels the full circumference of the circle in 60 minutes, in 15 minutes it will cover 15/60 = 1/4 of the circumference.

The distance traveled by the tip of the minute hand in 15 minutes is:

\(\text{Distance} = \huge \text(\dfrac{1}{4}\huge \text) \times C\)

\(= \huge \text(\dfrac{1}{4}\huge \text) \times (16\pi)\)

\(= 4\pi \ \text{centimeters}\)

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Answer:

4π cm ≈ 12.6 cm

Step-by-step explanation:

The clock can be modelled as a circle, where the radius (r) is equal to the length of the minute hand:  r = 8 cm.

A clock face is divided into 12 equal sectors (numbered 1 to 12).

It takes 60 minutes for the minute hand to complete one revolution of the clock. Therefore, each sector represents the passing of 5 minutes.

This means that 15 minutes equals 3 sectors, which is a quarter of the circle.

To find the distance the tip of the minute hand travels in 15 minutes, we need to find a quarter of the circumference of a circle with radius 8 cm.

The formula for the circumference of the circle is C = 2πr, where r is the radius. Therefore, the equation to find the distance the tip of the minute hand travelled in 15 minutes is:

\(\sf Distance=\dfrac{2 \cdot \pi \cdot 8}{4}\)

Simplifying, we get:

\(\sf Distance=\dfrac{16 \cdot \pi}{4}\)

\(\sf Distance=4 \pi\)

Therefore, the minute hand will travel 4π cm or approximately 12.6 cm (to the nearest tenth) in 15 minutes.

Answer:

y = 15x + 8         slope = 15         y-intercept = 8

Step-by-step explanation:

Step-by-step explanation:

Just :    5,8374

Answer:

The answer is b and c

Step-by-step explanation:

Im on edmentum so i can see this picture

The distance the penny will fall in the sixth seconds:

Therefore the distance the penny will fall in the sixth second = 176

Answer:

12

Step-by-step explanation:

Add all the numbers up. Then, you divided the answer by the number of values. So, its 120 divided by 10. which equals 12.

Answer:

36281629273781646181993836619946527189119292937467482919198$7473828191927364732818919283838292927383883829118661552621718919191019284746617171819001187373765252728

Step-by-step explanation:

173899918377+28910873638282

Answer:

A. the angular speed is 3771.4 rad/min

b. 5921 rpms

Step-by-step explanation: I just got this same question right on a test.

We have 4 students that read both genres, 8 that reads mysteries and 12 read science fiction. If we subtract those students that read both from the amount of students that reads mysteries, we're going to get the amount of students that ONLY read mysteries.

The same is valid to find those that ONLY read science fiction.

We have 4 students that read both genres, 4 that read only mysteries, and 8 that read only science fiction. The amount of students that read either of them is given by the sum of those 3 quatities.

The probability of taking one of them at random is given by the ratio between the amount of students that read either of them(16) by the total amount of students(30).

To calculate Ms. Espino's total salary for the 3 months based on her commission from selling class-A and class-B securities, we need to determine the commission amounts for each type of security and then sum them together.

Commission from selling class-A securities:

Commission rate = 8%

Sales amount of class-A securities = $104,000

Commission = Commission rate * Sales amount

Commission = 0.08 * $104,000

Commission = $8,320

Commission from selling class-B securities:

Commission rate = 3%

Sales amount of class-B securities = $58,750

Commission = Commission rate * Sales amount

Commission = 0.03 * $58,750

Commission = $1,762.50

Now, let's calculate the total salary for the 3 months by summing up the commissions from both types of securities:

Total salary = Commission from class-A securities + Commission from class-B securities

Total salary = $8,320 + $1,762.50

Total salary = $10,082.50

Therefore, Ms. Espino's total salary for the 3 months will be $10,082.50 based on the commissions earned from selling class-A and class-B securities.

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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The expression (x-6)² is equivalent to (x-6)(x-6)

An expression is combination of variables, numbers and operators.

(x-6)²=(x-6)(x-6)

We know the algebraic identity that (a-b)²=a²+b²-2ab

(x-6)²=x²+6²-2x(6)

=x²-12x+36

Now we have to factorize the expression

x²-6x-6x+36

x(x-6)-6(x-6)

(x-6)(x-6)

Hence, the expression (x-6)² is equivalent to (x-6)(x-6)

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Answer:  0.627 or 62.7 %

Step-by-step explanation:

The probability that shipment will be rejected P(rejected) = 1- probability that shipment will be accepted.

P(rejected)= 1-P(accepted)

P(accepted) is equal to probability when all 10 watches are not defective.

The probability that 1st one randomly selected watches are not defective is 51/60  (51 watches are not defective and 9 are defective)

The probability that 2-nd one randomly selected watches are not defective is  50/59 ( because the total number of the watches now is 1 unit less 60-1=59, and the total number of not defective watches is 1 unit less 51-1=50 units)

The probability that 3rd one randomly selected watches are not defective is 49/58  (49 watches are not defective total number of watches is 58)

Similarly P(4th)= 48/57  P(5th)=47/56   P(6th)=46/55  P(7th)=45/54

P(8th)=44/53  P(9th)=43/52  P(10th)=42/51

So P(accepted)= P(1st)*P(2nd)*P(3rd)*P(4th)*P(5th)*P(6th)*P(7th)*P(8th)*P(9th)*P(10th)=

=51*50*49*48*47*46*45*44*43*42/(60*59*58*57*56*55*54*53*52*51)=

= approx= 0.373

So P(rejected)=1-0.373=0.627

Step-by-step explanation:

y=75+50(36 hours)=1875

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The greatest common factor of the expression is 4m⁴.

GCF simply means the greatest common factor.

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

Hence,

56m⁵

68m⁴

The greatest common factor of the expression  is the largest positive expression that divides evenly into all numbers with zero .

Hence, the greatest common factor is 4m⁴

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