There are 162 magazines and books in a library. There are 54 more books
than magazines. What is the total number of books in the library?

The inequality is

\( - 6 \geqslant x \leqslant 3\)

And please shade at the points of -6 and 3 to indicate the greater or equal sign.

The 9 is the spacing from -6 and 3.

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Answer:

(10,5)

Step-by-step explanation:

●x+(-3)=7

x=7+3

x=10

●3x+4y=-10

3(-3y)+4y=-10

-6y+4y=-10

-2y=-10

y=5

Answer:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

15

Step-by-step explanation:

Hope it is helpful....

Answer:

The Square root of 225 is 15

Answer:

The answer is √ 6

Step-by-step explanation:

Step-by-step explanation:

ttgiffkydfhigdfgkfee FM 8

Answer:

x=7

Step-by-step explanation:

Since the two lines, the transversal intersects are parallel we know that the angles are same-side interior. This means they are supplementary or add up to 180. Therefore, to solve add the two expressions and set them equal to 180, then solve with properties of equality.

14x+7+10x+5=180

First, add like terms

24x+12=180

Then, subtract 12 from both sides

24x=168

Next, divide both sides by 24

x=7

Answer: as per question statement

we need to set up an equation first

p(t)=1200e(0.052*t)

they have given that it is relative to 1200 that means it starts to increase from 1200 at t=0 initially 1200 bacteria were present

we need to find population at t=6

we need to plug t=6 in p(t).

P(6)=1200e(0.052*6)=1639.38

1638.38 bacteria were present at that time t=6

Step-by-step explanation: I hope this helps.

Answer:

it would be “>”, 100% guaranteed.

Answer:

answer is >

Step-by-step explanation:

hope this is helpful

To find the Taylor polynomial t3(x) for the function f(x) = e^(-3x) sin(2x), centered at a = 0, it is recommended to use a graphing calculator.

The Taylor polynomial t3(x) for a function f(x) centered at a can be found using the Taylor series expansion, which involves evaluating the function and its derivatives at the point a. In this case, we need to calculate the derivatives of the function f(x) = e^(-3x) sin(2x) up to the third derivative at x = 0. These derivatives can be quite complex, making manual calculations challenging. Therefore, it is highly recommended to use a graphing calculator that supports symbolic calculations to compute the derivatives and construct the Taylor polynomial t3(x). Once you have obtained t3(x), you can graph both f(x) and t3(x) on the same screen to visualize their relationship.

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The cost of labour per hour is $45.

To find the cost of labour per hour, we need to first subtract the cost of the parts from the total cost to get the cost of the labour.

Total cost - cost of parts = cost of labour

$347.25 - $156 = $191.25

Now we can divide the cost of labour by the number of hours the technician worked on the computer to find the cost of labour per hour.

Cost of labour / Hours worked = Cost of labour per hour

$191.25 / 4.25 hours = $45 per hour

Therefore, the cost of labour per hour was $45.

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Answer:

072/1000

Step-by-step explanation:

That's the only way I know how to write it, I hope it helps! :3

We can use the single linear regression model to predict the weight of a 3-inch-long fish of the same species.

In order to determine whether it is appropriate to use the single linear regression model to predict the weight of a 3-inch-long fish of the same species or not, we need to consider the assumptions of linear regression model and the characteristics of the given data set. Assumptions of linear regression model:

The regression model has the following assumptions:

Linear relationship between variables: It is essential that the dependent variable and the independent variable have a linear relationship.

Normal distribution: Both the dependent and independent variables should be normally distributed.

Independence: The residuals should be independent from one another. No autocorrelation should be present.

Homoscedasticity: The variance of the residuals should be consistent for all levels of the independent variable.

Characteristics of the given data set:

Since it is not mentioned whether the assumptions of linear regression model are satisfied or not, let us assume that they are satisfied for the given data set. If that's the case, we can use the single linear regression model to predict the weight of a 3-inch-long fish of the same species. However, it is important to note that extrapolation of data beyond the range of the data set should be avoided as it may result in unreliable predictions.

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Solving them, it is found that the equivalent equations are given as follows: 2 + x = 5, x + 1 = 4, -5 + x = -2.

Equivalent equations are equations that have the same solution.

In this problem, the equations and their solutions are given as follows.

Hence the equivalent equations are: 2 + x = 5, x + 1 = 4, -5 + x = -2.

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Answer:

The answer is 3.9754976e+23

Answer:

3.9754976e+23

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the slope first write the equation in the form

y = mx + c

where m is the slope

c is the y intercept

3x - 3y = -45

3y = 3x + 45

Divide both sides by 3

y = 3/3x + 45/3

y = x + 15

From the equation the slope = 1

Parallel lines have equal slope

So

The line parallel to the above line is also

1

Hope this helps you

The graph that represents the situation is required.

What is graph?

A graph is a structure that resembles a set of items in discrete mathematics, more especially in graph theory, in which certain pairs of the objects are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Graphs are a popular tool for graphically illuminating data connections. A graph serves the objective of presenting facts that are either too many or complex to be fully expressed in the text while taking up less room.

Here the  X- axis denotes the number of hours and

Y- axis denotes the pounds of ice.

The given ordered pair is

\(\left(\frac{1}{2}, 1 \frac{1}{2}\right)=(0.5,1.5)\)

At zero hours the ice produced will be zero so, the third and fourth options are incorrect.

The only graph where the line passes through (0.5,1.5).

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Answer:

greater than

Step-by-step explanation:

Answer:

\(6-16y\)

Step-by-step explanation:

\(2(3-8y)\\\\\boxed{6-16y}\\\\\\\left \{ {{2*3=6} \atop {2*-8y=-16y}} \right.\)

Hope this helps.

Answer:

6 - 16y

Step-by-step explanation:

Distributive property:

a(b+cx) = a*b + a*cx

then:

2(3-8y) = 2*3 + 2*-8y

= 6 - 16y

We have designed a situation where the probability of one event (event A) is 1/5 and the probability of another event (event B) is 1/10.

To quantify the probability of each event, we can define the following events:

Then, the probability of event A is 1/5, since 1 in every 5 units of product A is defective. Similarly, the probability of event B is 1/10, since 1 in every 10 units of product B is defective.

Now, let's consider a scenario where the company receives an order for 100 units of products, with 60 units of product A and 40 units of product B. The company wants to determine the probability of the following events:

To calculate the probability of event C, we need to consider the probability of selecting a defective unit from product A and from product B, and the proportion of each product in the order. Since the order has 60 units of product A and 40 units of product B, the probability of selecting a unit of product A is 60/100 = 3/5, and the probability of selecting a unit of product B is 40/100 = 2/5.

Using the probabilities of event A and event B, we can calculate the probability of selecting a defective unit from product A or from product B as follows:

Therefore, the probability of event C can be calculated as follows:

P(C) = P(A) * P(A in order) + P(B) * P(B in order)

= (1/5 * 3/5) + (1/10 * 2/5)

= 3/25

So the probability of selecting a defective unit from the order is 3/25.

To calculate the probability of event D, we can use the complement rule, which states that the probability of an event and its complement (i.e., the event not happening) add up to 1. Therefore, the probability of event D can be calculated as follows:

P(D) = 1 - P(C)

= 1 - 3/25

= 22/25

So the probability of selecting a unit from the order at random and finding that it is not defective is 22/25.

In summary, we have designed a situation where the probability of one event (event A) is 1/5 and the probability of another event (event B) is 1/10. We have also calculated the probability of two other events (event C and event D) in a scenario where a manufacturing company produces two types of products, with different probabilities of defects, and receives an order with a certain proportion of each product.

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I think 40/3 is the answer you’re looking for.

If the proportion of iris to roses in Nikki's garden is 2: 5, it means that for 25 roses: (2/5) = (10/25). Therefore to maintain the proportion by adding 20 roses: (2/5) = (18/45). The number of irises after the addition of roses will be 10 + 18 = 28 irises.

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Answer:

none of these

Step-by-step explanation:

There are 3 boys walking

There are a total of 20 people

3/20 = 0.15

That is 15 percent, therefore none of these answers.

Step-by-step explanation:

any has at least one mode

Answer:

10

Step-by-step explanation:

took the test on edge

Answer:

y = 7x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 7 and c = - 5, then

y = 7x - 5 ← equation of line

Answer:3080”

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

hope this helps =)

The given equation has no solution.

What is equation?

Equation is a statement that show the equality of two expressions connecting by equal sign. for example, 3x - 5 = 20. In this case, 3x - 5 and 20 both are expressions which are connected by equal sign. The two expressions are written on the left side of equal and right side of equal. There are different types of equations such as linear equation, quadatic equation, etc.

The equation is given in the question is 4(x - 8) + 12 = 2(2x -9).

when we find out the solution,

4(x - 8) + 12 = 2(2x -9)

Multiply x with 4 and 2 according to the equation.

4x - 32 + 12 = 4x - 18

4x - 20 = 4x - 18

now, you can see this equation has no solution as the value of x cannot be determined.

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