If u = 2i - j; v= -5i + 4j and w = j find 4u (v -w).

Answer: 50 per hour

Step-by-step explanation:

400 divided by 8 is 50

Answer:

1/5

Step-by-step explanation:

u split evenly between five dogs so they will each get 1/5 of the bag

The lake frontage of lot B to the nearest tenth is; 70.5 yds

We know that;

Two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal. This common ratio is called the scale factor .

Find the lake frontage (to the nearest tenth) of each lot shown;

184/(54 + 69 + 57) = A/54 = B/69 = C/57

Thus, the lake frontage of lot B to the nearest tenth is;

B/69 = 184/180

B = (184 * 69)/180

B = 70.5 yds

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In the given fraction, we have the value of 1 divided in four portions and we just have to identify which portion does A and B fall into

This can be defined as a part of portion of a complete value.

In the first part, the portion A is representing 1 out of 5 parts. So, the fraction of A is

\(A = \frac{1}{5}\)

In the second fraction B, we can say that B is representing 3 out of 5 parts.

\(B = \frac{3}{5}\)

From the above, the value of A and B are

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3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:

3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup

Since there are 1 cup in each term, we can rewrite it as:

3 cups + (1/2) cup

Now, we can express each term as a multiplication expression:

3 cups = 3 * 1 cup = 3

(1/2) cup = (1/2) * 1 cup = 1/2

Putting it all together, the multiplication expression is:

3 * 1 cup + (1/2) * 1 cup = 3 + 1/2

Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

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Answer:

x = 30

Step-by-step explanation:

6(x-2)=8(x-9)

6x-12=8x-72

6x-6x-12+72=8x-6x-72+72

60=2x

x = 30

check:

6(30-2)=8(30-9)

6(28)=8(21)

168=168 ✅

Answer:

1

Step-by-step explanation:

When you graph the functions they intersect at one point

(-3.368119, -31.10436)

The relationship that represents a function with a greater rate of change than the function graphed is given as follows:

A. y = 4x - 3.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b.

The slope represents the average rate of change of a linear function.

From the graph, when x increases by one, y decreases by two, hence the slope m is given as follows:

m = -2.

For function A, the function is defined as follows:

y = 4x + 3.

Hence the rate of change is given as follows:

m = 4, which is greater than -2.

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The volume of the gas at the height (i.e 6.5 Km) is 652 mL

The final volume of the gas can be obtained by using the Boyle's law equation as shown below:

\(P_1V_1 = P_2V_2\)

\(1 \times 326 = 0.5 \times V_2\)

\(326 = 0.5 \times V_2\)

Divide both side by 0.5

\(V_2 = \dfrac{326}{0.5}\)

\(\boxed{\bold{V_2 = 652 \ mL}}\)

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Answer:

2 forms

Step-by-step explanation:

hope this helps <3

\( \sf \longrightarrow \: \frac{8}{5} \div 6 \\ \)

\( \sf \longrightarrow \: \frac{5}{8} \times 6 \\ \)

\( \sf \longrightarrow \: \frac{5 \times 6}{8} \\ \)

\( \sf \longrightarrow \: \frac{30}{8} \\ \)

\( \sf \longrightarrow \: \frac{8}{30} \\ \)

\( \sf \longrightarrow \: 0.26 \\ \)

_____________________________

the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The given function is:

f(x) = -(x + 3) - 1

To find the interval over which the function is decreasing, we need to find the values of x where the function's derivative is negative.

The derivative of the function is:

f'(x) = -1

The derivative is a constant, which means the function has a constant slope of -1. Since the slope is negative, the function is decreasing over its entire domain.

Therefore, the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).

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Answer:

Step-by-step explanation:

Im sorry we’re are they following?

Answer:

1. q = p - mn

2. c = -6

3. 10

Step-by-step explanation:

1.

\(mn=p-q\\\textsf{add q to both sides}\implies mn + q = p\\\textsf{subtract mn from both sides}\implies q = p-mn\)

2.

\(5c+23=c-1\\\textsf{subtract 23 from both sides}\implies5c=c-24\\\textsf{subtract c from both sides}\implies4c=-24\\\textsf{divide both sides by 4}\implies c=-6\)

3.

\(4f^2-g\\\implies 4(2)^2-3=13\\\\3f^2-3g\\\implies 3(2)^2-(3 \times3)=3\\\\13-3=10\)

On solving the providewd question we can say that, public static double solve(double a, double b, double c, boolean flag )

A quadratic equation is a quadratic polynomial in one variable that looks like this: x = ax2 + bx + c. a 0. This polynomial has at least one solution since it is a second-order polynomial, according to the Fundamental Theorem of Algebra. The answer can actually work or be difficult.

public static double solve(double a, double b, double c, boolean flag)

{     double d = Math.sqrt(b*b - 4*a*c);     if(flag)

{         return (-b + d) / (2*a);     }

else {         return (-b - d) / (2*a);     } }

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The probability that a person who tests positive actually has the disease is approximately 0.194.

What exactly is probability?

Probability is a measure of an event's possibility or chance of occurring. It is stated as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event. Probabilities ranging from 0 to 1 reflect occurrences that are probable but not guaranteed.

P(A) denotes the probability of an event A as the ratio of the number of possibilities that favour event A to the total number of potential outcomes. In other words, it is the number of possible outcomes for event A divided by the total number of possible outcomes.

Now,

To compute the probability that a person who tests positive actually has the disease, we can use Bayes' theorem, which states that:

P(A|B)=P(B|A)*P(A)/P(B)

where A and B are events, P(A | B) is the probability of event A when event B has occurred, P(B | A) is the probability of event B when event A has occurred, P(A)= prior probability of event A, and P(B) = prior probability of event B.

In this case, let A be the event of having the disease and B be the event of testing positive.

The incidence rate of the disease is 0.8%, which means that P(A) = 0.008.

The false negative rate is 6%, which means that P(B' | A) = 0.06 (where B' is the complement of event B, i.e., testing negative given that the person has the disease).

The false positive rate is 3%, which means that P(B | A') = 0.03 (where A' is the complement of event A, i.e., not having the disease).

We can compute P(B) using the law of total probability:

P(B) = P(B|A)*P(A) + P(B|A')*P(A')

= (1-P(B'|A))*P(A)+P(B|A')*(1-P(A))

= (1 - 0.06) * 0.008 + 0.03 * (1 - 0.008)

= 0.0328

Now we can use Bayes' theorem to compute P(A | B):

P(A | B) = P(B | A) * P(A) / P(B)

= (1 - P(B' | A)) * P(A) / P(B)

= (1 - 0.06) * 0.008 / 0.0328

= 0.194

Therefore,

                 the probability will be 0.194.

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Answer:

Step-by-step explanation:

Answer:

turning point is roughly (-0.3, -2.1)

the roots are: -1.3, 0.8

Step-by-step explanation:

the graph displayed is what is known as a quadratic

the turning point of a quadratic is the bottom of the line (where the line stops going down and starts going up)

the roots of a quadratic graph is where the line crosses the x axis (there are usually two roots but sometimes there are none).

Answer:

15.37 inches

Step-by-step explanation:

The difference is the bigger no. minus the smaller no. 37.8 - 22.43  = 15.37

You have the following data set

x I y

2 5

4 10

5 12.5

In order to find the constant of proportionality, you calculate the quotient between values of y and x, just as follow:

Then, you can notice that all quotients are equal, this means that the constant of proportionality is 2.5.

Next, the equation that represent the proportionality is given by:

where k is the constant of proportionality. In this case you have k = 2.5. Then, the equation is:

Answer:

9.60

Step-by-step explanation:

100%->10

160%->16

-------------------------------------

100%->16

100%-40%=60%

60%->9.60

Answer:

a) 0.20363

b) 0.00113

c) 0.77378

d) 0.18868

Step-by-step explanation:

Complete Question

At a carnival, the probability that a person will win a prize at the ring-toss game has been found to be (1/20). What is the probability that a prize will be won by exactly

a. 1 of the next 5 players?

b. 3 of the next 5 players?

c. 0 of the next 5 players?

d. 2 of the next 20 players?​

Solution

This is a binomial distribution problem

A binomial experiment is one in which the probability of success doesn't change with every run or number of trials.

It usually consists of a number of runs/trials with only two possible outcomes, a success or a failure.

The outcome of each trial/run of a binomial experiment is independent of one another.

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = 5, 20

x = Number of successes required = 1, 3, 0, 2

p = probability of success = probability of winning a prize in the ring-toss = (1/20) = 0.05

q = probability of failure = probability of NOT winning a prize in the ring-toss = 1 - (1/20) = (19/20) = 0.95

a. 1 of the next 5 players?

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = 5

x = Number of successes required = 1

p = probability of success = 0.05

q = probability of failure = 0.95

P(X = 1) = ⁵C₁ (0.05)¹ (0.95)⁵⁻¹ = 0.2036265625 = 0.20363

b) 3 of the next 5 players?

n = total number of sample spaces = 5

x = Number of successes required = 3

p = probability of success = 0.05

q = probability of failure = 0.95

P(X = 3) = ⁵C₃ (0.05)³ (0.95)⁵⁻³ = 0.001128125 = 0.00113

c. 0 of the next 5 players?

n = total number of sample spaces = 5

x = Number of successes required = 0

p = probability of success = 0.05

q = probability of failure = 0.95

P(X = 0) = ⁵C₀ (0.05)⁰ (0.95)⁵⁻⁰ = 0.7737809375 = 0.77378

d. 2 of the next 20 players?​

n = total number of sample spaces = 20

x = Number of successes required = 2

p = probability of success = 0.05

q = probability of failure = 0.95

P(X = 2) = ²⁰C₂ (0.05)² (0.95)²⁰⁻² = 0.18867680127 = 0.18868

Hope this Helps!!!

The x-intercepts represent a zero profit, the maximum value of the graph represents the maximum profit, An approximate average rate of change of the graph from x=3  to x=5 represents the reduction in profit from 3 to 5 and the domain is constrained by x=0.

Part A:

The x-intercepts represent a zero profit.

The maximum value of the graph represents the maximum profit.

The function increases up till the vertex and decreases after it.

This means that the profit increases as it reaches the peak at the vertex.

It decreases after the vertex up till it reaches zero.

On the left of the first zero and on the right of the second zero, the profits are negative.

Part B:

An approximate average rate of change of the graph from x=3  to x=5 represents the reduction in profit from 3 to 5.

Part C:

Simply, the domain is constrained by x=0.

We are obliged at x=6 .

This is because we have to avoid a negative profit.

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The amount of force used to pull the cart from 60 N to 90 N, the new acceleration of the cart is, 1.5 m/s²

The definition of force is the pushing or pulling of anything. Push and pull are the result of two things interacting with one another. Stretch and crush are two more phrases that can be used to describe force.

Formula of force,

F = ma

Given that,

A man pulled a cart filled with stones that had a total mass of 60 kg

He increased the amount of force used to pull the cart from 60 N to 90 N

New acceleration of cart = ?

F  = ma

Old acceleration,

60  = 60a

a   =  1 m/s²

New acceleration,

90 = 60a

a   = 90/60

a   =  3/2

a   =  1.5 m/s²

Hence, the new acceleration is 1.5 m/s²

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Each cube measures 1 cubic inch.

The volume of the prism is the sum of the volume of the cubes.

The number of cubes is 6 x 3 = 18

So the volume will be :

18 cubic inches.

ANSWER :

D. 18 cubic in

the mοnthly periοdic interest rate, rοunded tο the nearest hundredth οf a percent is (C) 1.31%

Any lοans and bοrrοwings cοme with interest. the percentage οf a lοan balance that lenders use tο determine interest rates. Cοnsumers can accrue interest thrοugh lending mοney (via a bοnd οr depοsit certificate, fοr example), οr by making a depοsit intο a bank accοunt that pays interest.

We must divide its yearly percentage rate (APR) by 12 tο determine a mοnthly periοdic interest rate (the number οf mοnths in a year).

Hence, the periοdic interest rate fοr each mοnth is:

15.75% / 12 = 1.3125%

The result οf rοunding tο the clοsest hundredth οf such a percent is:

1.31%

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Answer:

5

Step-by-step explanation:

Answer:

1. 2/20, 1/9, 2/30, 1/16, 4/100       2. 5/9, 4/7, 9/16, 6/13     3. 15/16, 4/5, 21/23, 9/10, 8/9

Step-by-step explanation:

\(a = 9\)

\(b = 12\)

\(c = \sqrt{ {a}^{2} + {b}^{2} } = \sqrt{ {9}^{2} + {12}^{2} } = \sqrt{81 + 144} = \sqrt{225} = 15\)

\(p = a + b + c = 9 + 12 + 15 = 36\)

Answer: 36.

Answer:

15 US dollars

Step-by-step explanation:

Answer:

It seems like it is 110 degrees.

Step-by-step explanation: