A rectangular room measures 3.8 meters in length and 4.9 meters in width. jana multiplies both numbers together. which expression would be best for her to use to check the reasonableness of her decimal multiplication? 3 times 4 3 times 5 4 times 4 4 times 5

Answer:

6·¹₂            6¹/₂

Step-by-step explanation:

by dividing 13 by 2, we get the quotient 6, remainder 1 and divisor as 2.

as we know, to write a mixed fraction, we follow Q^R/D, so we get 6¹/₂.

Answer: x = 8

Step-by-step explanation:

This is a very, very, very simple algebra problem. I assume you know the basics of algebra.

First, move 8 to the other side:

3x = 24

divide by 3 on both sides

x = 8

There! Would it kill you to give me a quartic question to spice my life up?

Answer:

the total distance walked is 20 km

Step-by-step explanation:

The computation of the total distance he walked is shown below:

Let us assume the total distance walked be d

Now the total time would be

Total time = (d ÷ 2) ÷ 8 +  (d ÷ 2) ÷ 5 = 3.25

d ÷ 16 + d ÷ 10 = 3.25

(5d + 8d) ÷ 80=3.25

13d = 260

d = 20 km

Hence, the total distance walked is 20 km

Answer:

1/15

Step-by-step explanation:

3/10 x 2/9

The tables is completed as follows

5.1.1

1    8

2   16

4    24

6   48

8    64

12    96

5.1.2

The type of proportion is Direct Proportion

5.2.1

1    8

2   4

4    2

6     1

8    0.5

5.1.3

The type of proportion is Inverse Proportion

Direct Proportion: A direct proportion is a relationship between two variables where an increase in one variable results in a proportional increase in the other variable, and a decrease in one variable results in a proportional decrease in the other variable.

The general formula for a direct proportion is y = kx,

where

k is the constant of proportionality.

Inverse Proportion: An inverse proportion is a relationship between two variables where an increase in one variable results in a proportional decrease in the other variable, and a decrease in one variable results in a proportional increase in the other variable.

The general formula for an inverse proportion is y = k/x,

Joint Proportion: A joint proportion is a relationship between three or more variables where one variable is directly proportional to the product of the other variables.

The general formula for a joint proportion is y = kxy,

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Answer:

In the problem, the sum of the two functions is 2x + 2

Step-by-step explanation:

For this problem, we have to add together f(x) and g(x).

f(x) = 9 - 3x

g(x) = 5x - 7

(f + g)(x) = (9 - 3x) + (5x - 7)

Combine like terms.

(f + g)(x) = 2x + 2

So, when you combine the two functions together, you will get 2x + 2.

The value of f(x)+g(x) according to the question given is; 2x + 2.

To evaluate the sum of functions f(x) and g(x); we have;

Therefore;

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Answer:

The volleyball team won 15 games.

Answer:

That would be 15

Step-by-step explanation:

Good Luck!

Answer:

15

Step-by-step explanation:

Ricardo made a data table with 4 rows and 10columns

Total number of cells is

= 4×10

= 40

He colors 3/8 of the cells yellow

Therefore the number of cells in yellow can be calculated as follows

= 3/8 × 40

= 15

Hence 15 cells were painted yellow

Answer:

Step-by-step explanation:

In this problem we are required to find the cost of the laptop when 9.25% of the cost is added as tax

we are given that the tax rate is 9.25% of the initial cost

and the initial cost is $703.98

 let us calculate 9.25% of  $703.98

(9.25/100)* 703.98= 0.0925*703.98= $65.12

Hence the charges for tax is $65.12

The total cost of the laptop when tax is included is

the initial cost Plus the tax charges= $703.98+$65.12= $769.098

$769.10

All correct proportions include the following:

A. \(\frac{AC}{CE} =\frac{BD}{DF}\)

D. \(\frac{CE}{DF} =\frac{AE}{BF}\)

In Mathematics and Geometry, two geometric figures are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Hence, the lengths of the pairs of corresponding sides or corresponding side lengths are proportional to one another when two (2) geometric figures are similar.

Since line segment AB is parallel to line segment CD and parallel to line segment EF, we can logically deduce that they are congruent because they can undergo rigid motions. Therefore, we have the following proportional side lengths;

\(\frac{AC}{CE} =\frac{BD}{DF}\)

\(\frac{CE}{DF} =\frac{AE}{BF}\)

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The probability that Joe and Matthew  will purchase no books on this visit to the bookstore is 0.125

Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true.

Here we will find the joint probability distribution of number of books they will buy together.

We will find joint probability distribution of x+y.

Since,

P(x, y)=P(x).P(y)

P(X=x, Y=y)=P(X=x)P(Y=y)

P(0, 0)=0.125

P(0, 1)=0.25

P(0, 2)=0.125

P(1, 0)=0.0625

P(1, 1)=0.125

P(1, 2)=0.0625

P(2, 0)=0.0625

P(2, 1)=0.125

P(2, 2)=0.0625

Here we have to find the probability that they will purchase no book on this visit is they will buy zero book that means P(x=0, y=0)

From the above probability distribution P(x=0, y=0)=0.125

The probability that Joe and Matthew  will purchase no books on this visit to the bookstore is 0.125.

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Yolanda is buying school supplies. She buys n packages of pencils at 1.40 per package and m pads of paper at 1.20 each. The expression 1.4 represents the cost of one package of pencils while the expression 1.2 represents the cost of one pad of paper.

The given expressions represent the cost of one package of pencils and one pad of paper. Hence,1.4 represents the cost of one package of pencils.1.2 represents the cost of one pad of paper.Yolanda buys n packages of pencils.

Therefore, the total cost of pencils will be n × 1.4

Similarly, Yolanda buys m pads of paper.

Therefore, the total cost of pads will be m × 1.2

Therefore, the total cost of buying n packages of pencils at 1.40 per package and m pads of paper at 1.20 each will be,1.4n + 1.2m

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Answer:

Your answer

420 were chocolate

Mark it as Brainlist. Follow me for more answer.

Step-by-step explanation:

The relative minimum of h(x) occurs at x = 2. Integrals can be used to solve a wide range of problems in mathematics and physics, such as finding the area under a curve

An integral is a mathematical concept that involves the concept of integration, which is a way to find the area under a curve or the volume of a solid of revolution. Integrals can be classified into two types: indefinite integrals and definite integrals.

To find the relative minimum of the function h(x), we need to find the value of x that minimizes the value of h(x).

First, let's find the derivative of h(x). We can do this by applying the chain rule to the function inside the integral:

\(h'(x) = (-4 * (t - 2)^2 + 8)' = (-4 * (t - 2)^2 + 8)' = -8 * (t - 2)\)

Next, we need to find the points where h'(x) = 0 or is undefined. Setting h'(x) = 0 and solving for t, we find that t = 2. Substituting this value back into the original expression for h(x), we get:

\(h(x) = -4 * (2 - 2)^2 + 8 = 8\)

Since h'(x) is undefined at t = 2, we need to check whether the function is increasing or decreasing at that point. To do this, we can take the second derivative of h(x):

\(h''(x) = (-8 * (t - 2))' = -8\)

Since the second derivative is negative at t = 2, this means that the function is decreasing at that point.

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The correct option is b. to represent vectors. We need Cartesian and Polar Coordinates in Kinematics to represent vectors. In Kinematics, the Cartesian and Polar Coordinates are important because it enables us to represent the motion of a particle and the geometric shapes of physical objects.

The Cartesian Coordinates in Kinematics

The Cartesian Coordinates uses a three-dimensional system to plot points in space, which can also be used to represent motion in Kinematics.

In the Cartesian system, a point is defined by three coordinates x, y and z, which represent its position in space.

The x-coordinate represents the position of a point along the horizontal plane, the y-coordinate represents the position of a point along the vertical plane, and the z-coordinate represents the position of a point along the depth plane.

We can also use Cartesian coordinates to calculate the velocity and acceleration of a particle.

The Polar Coordinates in Kinematics

The Polar Coordinates uses a two-dimensional system to plot points in space, which can also be used to represent motion in Kinematics.

In the Polar system, a point is defined by two coordinates, the radial coordinate, r, and the angular coordinate, θ. The radial coordinate represents the distance of a point from the origin, while the angular coordinate represents the angle between the radial line and the positive x-axis.

Polar coordinates are especially useful when dealing with circular motion, as the angular coordinate can be used to measure the angle of rotation of a particle. Polar coordinates are often used in Kinematics to represent the position and velocity of a particle.

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The probability that the company's total yearly claim will not exceed $2.42 million will be  0.0918.

We have,

Number of Automobile policyholders in an insurance company i.e. n = 10,000

And,

The expected yearly claim per policyholder, i.e. μ  = $230,

And,

Standard deviation i.e. σ = $900

Now,

According to the question,

For the probability that of the company's total yearly claim will not exceed $2.42 million,

We have,

\(P(\bar{x} \ > 242)=P(z > \frac{x-\mu}{\frac{\sigma}{\sqrt{n} } })\)

On putting values in the above mentioned equation we get,

\(P(\bar{x} \ > 242)=P(z > \frac{242-230}{\frac{900}{\sqrt{10000} } } )\)

On solving the above equation we get,

\(P(\bar{x} \ > 242)=P(z > 1.33)\)

Now,

\(P(\bar{x} \ > 242)=1-P(z \leq 1.33)\)

And,

Now,

putting the value of z from z-tables,

we get,

\(P(\bar{x} \ > 242)=1-0.9082\)

on solving,

We get,

\(P(\bar{x} \ > 242)=0.0918\)

Hence we can say that the probability that skydiver will land on a shaded area will be 0.0918.

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Answer:

3/7

Step-by-step explanation:

This is because you need to count the tick marks to 1.

That should be 7.

Then you count to the red dot.

That should be 3.

3/7

Answer: 3/7

Step-by-step explanation:

There are 7 segments that separates 1 from 0, therefore our denominator of the fraction is 7.

The red dot is on the third tick, making our numerator 3.

Our answer is 3/7, or \(\frac{3}{7}\)

The given relation does not represent a function. So, the answer is "1. No, because for each input there is not exactly one output".

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range. In simpler terms, a function is a set of rules that takes an input value and produces a corresponding output value.

To determine whether the given relation represents a function or not, we need to check whether each input (x-value) has exactly one output (y-value) associated with it.

If there is any input that has more than one output or if there is any output that has more than one input, then the relation is not a function.

Looking at the given points, we can see that the input values 1 and -2 have more than one output associated with them.

For x = 1, the outputs are 5 and -1/2, and for x = -2, the outputs are -7 and 3/4.

Therefore, the given relation does not represent a function.

So, the answer is "1. No, because for each input there is not exactly one output".

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Complete question is:

The following points represent a relation where x represents the independent variable and y represents the dependent variable. 3/4,  -2, 1, 5, -2, -7, 1, -1/2, and 6, 6. Does the relation represent a function? Explain.

1. No, because for each input there is not exactly one output

2. No, because for each output there is not exactly one input

3. Yes, because for each input there is exactly one output

4. Yes, because for each output there is exactly one input

A sum of squares that measures the variability among the sample means is called the total sum of squares.

According to the statement

we have to explain about in the sample means, The sum of squares that measures among the variability.

So, For this purpose, we know that the

The variation is comprised the sum of the squares of the differences of each mean with the grand mean.

And

A one-way ANOVA is used for three or more groups of data, to gain information about the relationship between the dependent and independent variables.

In other words, Variability, is the extent to which data points in a statistical distribution or data set from the average value.

So, for all this, A sum of squares that measures the variability among the sample means is called the total sum of squares.

Hence, A sum of squares that measures the variability among the sample means is called the total sum of squares.

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Answer:

37b^5

Step-by-step explanation:

15b^5+22b^5

Combine the all like terms.

Since both of the numbers have b^5, all you have to do is add 15+22.

\(\huge\text{Hey there!}\)

\(\huge\textsf{Equation:}\)

\(\mathsf{2[(8 \div 4)-(-5)] + 6}\)

\(\huge\textsf{Solving:}\)

\(\mathsf{2[(8 \div 4)-(-5)] + 6}\)

\(\mathsf{= 2[((2 - (-5)] + 6}\)

\(\mathsf{= 2(7) + 6}\)

\(\mathsf{= 2 \times 7 + 6}\)

\(\mathsf{= 14 + 6}\)

\(\mathsf{= 20}\)

\(\huge\textbf{Therefore, your answer should be: }\)

\(\huge\boxed{\frak{20}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

\(\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}\)

▪ \( \sf{2[(8 ÷ 4)-(-5)] + 6}\)

First, we will start with the division:

\(\longrightarrow \sf{2[(2) − (−5)] +6}\)

Now we will resolve what is inside the bracket:

\(\longrightarrow \sf{2[2+5] +6}\)

\(\longrightarrow \sf{2 \times 7 +6}\)

Now we will solve the multiplication:

\(\longrightarrow \sf{14 +6= 20}\)

\(\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}\)

\( \bm{2[(8 ÷ 4)-(-5)] + 6 = \boxed{\bm {20}}}\)

Answer:

5

Step-by-step explanation:

5x3 = 15 also you can divide 15 and 3 which equals to 5

Answer:

5

Step-by-step

The answer is 5 because if you count by 3's until you get to 15, you'll have your answer 5. Also known as...

15/3

or

5 times 3.

Answer:

Therefore, the probability of getting at least 3 tails is 1/16 + 1/4 = 5/16 or 0.3125.

The probability of getting exactly 3 tails is just 1/4, as we calculated above.

Step-by-step explanation:

To find the probability of getting at least 3 tails when tossing a coin 4 times, we need to add the probabilities of getting 3 tails and 4 tails.

The probability of getting a tail on one toss is 1/2, and the probability of getting a head is also 1/2.

The probability of getting 4 tails is (1/2)^4 = 1/16 because there is a 1/2 chance of getting a tail on each toss, and the events are independent, so we multiply the probabilities together.

The probability of getting 3 tails is (4 choose 3) * (1/2)^4 = 4/16 = 1/4 because we need to choose which 3 tosses will be tails (this can be done in (4 choose 3) = 4 ways), and there is a 1/2 chance of each of those tosses being a tail, with a 1/2 chance of the last toss being a head.

Answer:

We can factor a difference of fourth powers (and higher powers) by treating each term as the square of another base, using the power to a power rule. For example, to factor x4 - y4, we treat x4 as (x2)2 and y4 as (y2)2. Thus, x4 - y4 = (x2)2 - (y2)2 = (x2 + y2)(x2 - y2) = (x2 + y2)(x + y)(x - y).

All matrices X that diagonalize the matrix A are invertible matrices with eigenvectors of A as their columns.

To find the eigenvectors and matrices that diagonalize matrix A, let's consider the given matrix A = [1].

To find the eigenvectors, we need to solve the equation (A - λI)v = 0, where λ is the eigenvalue and I is the identity matrix.

For matrix A = [1], subtracting λI gives:

[A - λI] = [1 - λ]

Setting the determinant of [A - λI] equal to zero will give us the eigenvalues. In this case, since [A - λI] is a scalar matrix, the determinant is simply (1 - λ).

Setting (1 - λ) = 0, we find λ = 1.

To find the eigenvector corresponding to this eigenvalue, we substitute λ = 1 back into the equation (A - λI)v = 0:

[(1 - 1)]v = [0]v = 0

Here, v is a vector in the null space of the matrix A - λI, which means any non-zero vector can be an eigenvector.

Since we have only one eigenvalue (λ = 1) with infinite possible eigenvectors, we can construct matrices X that diagonalize A by choosing any invertible matrix X that has the eigenvectors of A as its columns.

In summary, for matrix A = [1], the eigenvalue is λ = 1, and any non-zero vector can be an eigenvector. Therefore, any invertible matrix X with the eigenvectors of A as its columns can be used to diagonalize A.

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The expanded form of the given exponential expression -z³ is -(z×z×z).

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

The given expression is -z³.

Here, -z raised to 3, so multiply -z times itsef

-z³=(-z)×(-z)×(-z)

= -(z×z×z)

Therefore, the expanded form of the given exponential expression -z³ is -(z×z×z).

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Answer:

36 minutes is the highest

Step-by-step explanation:

The weakest base is C5H5N (pyridine) with Kb = 1.7 × 10^(-9). The correct answer is C.

The strength of a base is determined by its ability to accept or donate a pair of electrons. In general, a stronger base has a higher tendency to accept or donate electrons compared to a weaker base.

In the given options, the bases are characterized by their Kb values. Kb (base dissociation constant) represents the equilibrium constant for the reaction of a base with water to form the corresponding conjugate acid and hydroxide ions.

Comparing the Kb values provided:

A smaller Kb value indicates a weaker base because it corresponds to a lower concentration of hydroxide ions in solution. Therefore, in this case, C5H5N (pyridine) with a Kb value of 1.7 × 10^(-9) is the weakest base among the given options. The correct answer is C.

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