Evaluate and match each expression on the left to its value on the right, when x = 9 and y = 6.
12 - x
x + 3y
4y - 10
1/3xy

so here we get two outcomes one is 2 and other is 4.

so there is total 2 outcomes.

total no. of possibility is 5

so the probability of waiting between 2 and 4 minutes to use the ATM is 2/5.

The millimetres of each solution needed are 80 millimetres and 50 millimetres, respectively

From the question, we have the following parameters that can be used in our computation:

Volume needed  = 130mL

Proportion = 59%

Available proportions = 44% and 83%

Represent the type of solutions with x and y

So, we have the following system of equations:

x  + y = 130

0.44x + 0.83y = 59% * 130

So, we have

x  + y = 130

0.44x + 0.83y = 76.7

Make x the subject in x  + y = 130

x = 130 - y

Substitute x = 130 - y in 0.44x + 0.83y = 76.7

0.44(130 - y) + 0.83y = 76.7

So, we have

57.2 - 0.44y + 0.83y = 76.7

Evaluate the like terms

0.39y = 19.5

Divide both sides by 0.39

y = 50

Substitute y = 50 in x = 130 - y

x = 130 - 50

Evaluate

x = 80

Hence. the amount of each is 80 and 50 millimetres

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Answer:

12..........'.............

Answer:

Yeah the Answer is 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

x-intercept is where the line cuts the x-axis. That is, when y=0.

Substitute y=0 and we get:

       \(0=\frac{1}{3} x-1\)

       \(1=\frac{1}{3} x\)

       \(x=3\)

So x-intercept is the point (3,0).

Answer:

31.5 units²

Step-by-step explanation:

Area = ½*base*height

Height of the triangle on the grid = 9 units

Base = 7 units

Area = ½*9*7

Area = ½*63

Area = 63/2

Area = 31.5 units²

The answers are as follow:

a) y'= -2x/y

b) y' = -4/y

The technique of implicit differentiation allows you to find the derivative of y with respect to x without having to solve the given equation for y.

Given:

x²y+4y=8

On differentiation

applying product rule

2xy+ x²y'  = 0

2xy = - x²y'  

2y = -xy'

y'= -2x/y

b) equation of the tangent line to the graph when x = 2.

y' = -4/y

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Answer:

4y-x-3  = 0

Step-by-step explanation:

 Slope = 0.500/2.000 = 0.250

 x-intercept = 3/-1 = -3.00000

 y-intercept = 3/4 = 0.75000

Given:

To determine the value(s) for θ based on the given equation, we first let tan θ equal to u. So,

Next, we get the value of u when 5u=0 or u+1=0:

This means that:

Now we consider the given range above. Hence,

For tan θ=0:

For tan θ=-1:

Therefore, the answers are:

Answer:

Probability of at least 4 girls

= P(X >= 4)

= P(X=4) + P(X=5) + P(X=6)

= .2734 + .1641 + .0547 + .0078

= .5

Step-by-step explanation:

hope this helps.

The true population proportion of people with kids is between 0.0565 and 0.1835.

We are given that;

Number of people= 100

Percent= 95%

Now,

To construct a 95% confidence interval for the true population proportion of people with kids. Here are the steps to do so:

Find the sample proportion p. This is the ratio of the number of successes (people with kids) to the sample size. In this case, p = 12 / 100 = 0.12.

Find the z-value that corresponds to the 95% confidence level. You can use a table or a calculator to find this value. The z-value for a 95% confidence level is 1.96.

Find the standard error of the sample proportion. This is the standard deviation of the sampling distribution of p. You can use the formula √p (1-p) / n to find this value. In this case, the standard error is √0.12 (1-0.12) / 100 = 0.0324.

Plug these values into the formula for the confidence interval and simplify. You get:

Confidence interval = 0.12 +/- 1.96*0.0324 Confidence interval = 0.12 +/- 0.0635 Confidence interval = [0.0565, 0.1835]

Therefore, by proportions the answer will be 0.0565 and 0.1835.

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Answer:

one of the 4 core subjects and you start algebra

Step-by-step explanation:

Answer:

Mathematics helps in attaining and developing logical reasoning, cultural and moral values amongst the children. if Mathematics is not given an important place in the curriculum, then students would not get an opportunity for mental exercise and in the absence of it, their intellectual development might be affected.

Answer:

\(y = \frac {7}{9} \times - \frac{1}{9} \)

The roots of the given polynomial using the rational zero theorem are;  2, -4 and 6.

We are given the polynomial;

y = x³ - 4x² - 20x + 48

Since all coefficients are integers, we can apply the rational zeros theorem.

The trailing coefficient (the coefficient of the constant term) is 48

Find its factors (with the plus sign and the minus sign): ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±16, ±24, ±48.

These are the possible values for p.

The leading coefficient (the coefficient of the term with the highest degree) is 1.

These are the possible rational roots:

±1, ±2, ±3, ±4, ±6, ±8, ±12, ±16, ±24, ±48.

Checking the possible roots: if a is a root of the polynomial P(x), the remainder from the division of P(x) by x - a should equal 0 (according to the remainder theorem, this means that P(a)=0

Plugging in those values, the only ones that yield P(a) = 0 are; 2, -4 and 6.

Thus, these are the roots of the given polynomial.

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Answer:

Step-by-step explanation:

d

The second runner ran 6 kilometers.

A kilometer is a unit of length that's equal to 1,000 meters. So we can say that 1 kilometer = 1,000 meters.

A quarter of 1,000 is 250, so 250 meters is equal to a quarter of a kilometer. And 750 meters would be equal to three-quarters of a kilometer.

The first runner ran 16 laps, and since each lap is a quarter of a kilometer, the first runner ran 16 * 1/4 = 4 kilometers.

The second runner ran 8 more laps than the first runner, so the second runner ran 16 + 8 = 24 laps.

Since each lap is a quarter of a kilometer, the second runner ran 24 * 1/4 = 6 kilometers.

Therefore, the second runner ran 6 kilometers.

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There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

To determine the total number of color-wheel size combinations for the kickboard scooter, we need to multiply the number of color options by the number of wheel size options.

Given that there are 4 color options (silver, red, blue, and purple) and 2 wheel size options (125mm and 180mm), we can use the multiplication principle to find the total number of combinations:

Total combinations = Number of color options × Number of wheel size options

Total combinations = 4 colors × 2 wheel sizes

Total combinations = 8

There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

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Using central angle theorem,

The measure of the arc BC = 110°.

An angle with its vertex in the middle of the circle it creates with its two radii is said to be central.

Here in the question,

As per the central angle theorem:

(2x -30) ° + x° = 180°

⇒ 2x - 30 + x = 180

⇒ 3x - 30 = 180

Adding 30 on both sides:

⇒ 3x = 180 + 30

⇒ 3x = 210

Dividing both sides by 3.

⇒ x = 70°

Now BC = 2x-30

= 2 × 70 -30

= 140 - 30

= 110°

Therefore, the measure of BC = 110°.

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The end behavior of the function is as x tends to infinity, f(x) tends to zero. It is power function.

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.

The degree and the leading coefficient of a polynomial function given is determine the end behavior of the graph.

Given that function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2.

The end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity.

The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).

Hence, we can conclude that the end behavior of the function is as x tends to infinity, f(x) tends to zero.

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The value of x in degrees will be  x=78.46

The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.There are different angles like Cos,Sin,tan,cosec,sec and cot in the trigonometry.

It is given that:

We have the value of CosX=0.2 we will take inverse of the value 0.2 and find the angle X. after taking the cos inverse of the value 0.2 we found out the angle X=78.46

Cos X   =     0.2

X      =    Cos¹ 0.2

X      =     78.46°

Hence the value of x in degrees will be x=78.46

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Answer:

Brand A

Step-by-step explanation:

Brand A has a box of 25 forks for 1.99

Take the price per fork

1.99 /25 = .0796

              .08 per fork

Brand B has a box of 42 totals for 3.89

3.89 / 42

.092319048

.09 per fork

Answer:

Step-by-step explanation:

The solution type to the system is one solution or consistent system

From the question, we have the following parameters that can be used in our computation:

f(x) = [x + y = 4

        [y = 2x - 1

Substitute y = 2x - 1 in the equation x + y= 4

So, we have the following representation

x + 2x - 1 = 4

Evaluate the like terms

3x = 5

So, we have

x = 5/3

Substitute x = 5/3 in y = 2x - 1

So, we have the following representation

y = 2 * 5/3 - 1

Evaluate

y = 2.33

Because x and y have real values

Then, the solution type is a consistent system

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Answer:

1. any type of geographic planning or large-scale architecture; earth sciences and many other geographic disciplines; mining and other earth-based endeavours, civil engineering and recreational uses such as hiking and orienteering.

2.In earth science, erosion is the action of surface processes that removes soil, rock, or dissolved material from one location on the Earth's crust, and then transports it to another location. Erosion is distinct from weathering which involves no movement.

Step-by-step explanation:

have a nice day

Answer:

The growth model that represents the population of this city is not linear--it is exponential:

\(f(t) = 10000( {1.025}^{t} )\)

\(t = 0 \: represents \: 2010\)

First let's start with A

All the sides in a hexagon add up to 720

do 720/6

720/6=120

A=120

Each angle in that hexagon adds up to 120

Then B

The triangle is equilateral, so 180/3=60

B would be 60

C would also be 60

D is = to a, so D=120

A:120

B:60

C:60

D:120

Answer:

0.445 as a fraction in simplest form: 89/200

0.445 as a percent: 44.5%

Step-by-step explanation:

Answer:

2.20

Step-by-step explanation: