The monthly telephone bill consists of a $14 service charge plus $1.50 per call. Write an equation in slope-intercept form for the total monthly bill y if x represents the number of calls made in a month
. Then graph the solution. Equation:​

The expressions which are equivalent to 35 + 30s - 45t are:

5(7+6s−9t)

(−35−30s+45t)×(−1)

The correct answer options are options B and C

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

here, we have,

We have to determine equivalent expression:

35 + 30s - 45t

Check all options

A. 7⋅(5+30s−45t)

= 35 + 210s - 315t

False

B. 5(7+6s−9t)

= 35 + 30s - 45t

True

C. (−35−30s+45t)×(−1)

= 35 + 30s - 45t

True

D. 10×(3.5+3s−4.5)

= 35 + 30s - 45

False

E. ( 35/2 - 15s + 45/2t) ⋅ (-2)

= (17.5 - 15s + 22.5t) (-2)

= -35 + 30s - 45t

False

Therefore, the equivalent expression is an expression which has an equal value to each other.

Complete question:

Which expressions are equivalent to 35 + 30s - 45t?

A. 7⋅(5+30s−45t)

B. 5(7+6s−9t)

C. (−35−30s+45t)×(−1)

D. 10×(3.5+3s−4.5)

E. ( 35/2 - 15s + 45/2t) ⋅ (-2)

choose 2 answers

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If she is working at a constant rate, 12 rows had been completed before Elena started working.

To determine the number of rows that were completed before Elena started working, we need to find the equation of the line that represents the relationship between the number of rows completed and the time taken.

We can use the two given points (14, 19) and (20, 22) to find the slope of the line:

slope = (change in rows) / (change in time) = (22 - 19) / (20 - 14) = 3 / 6 = 1/2

Next, we can use the slope and one of the points to find the y-intercept of the line using the point-slope form of a line:

y - 19 = (1/2)(x - 14)

y - 19 = (1/2)x - 7

y = (1/2)x + 12

Now that we have the equation of the line, we can use it to find the number of rows completed when x (time) is equal to 0, which represents the point when Elena started working:

y = (1/2)(0) + 12 = 12

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The given question is incomplete, the complete question is :

Elena agrees to finish a knitting project for a friend. The graph shows the number of rows Elena completes compared to the amount of time spent knitting.

Assuming she worked at a constant rate, how many rows had been completed before Elena started working?

The correct options for the inequality y ≥ -2x + 3 are:

Here we have the next inequality:

y ≥ -2x + 3

First, we can see that the symbol "≥" is used, then the points on the line are solutions, and thus, the line must be a solid line.

Also, y is larger or equal than that, so we need to shade the region above.

Finally, the line is y = -2x + 3

So the slope is -2 and the y-intercept is 3.

These are the characteristics of the inequality

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On converting the length 161cm to feet , we get that 161 cm is equivalent to 5.29  feet .

There are different units that are used to measure the length or distance ;

such as feet , centimeter , meter , kilometer .

We have to convert the length : 161 centimeter to feet ;

we know that ; 1 centimeter is approximately equal to 0.0328 feet ;

So , we multiply 161 centimeter with 0.0328 ,

On multiplication ,

we get ;

⇒ 161 centimeter = 161 × 0.0328 ;

⇒ 161 centimeter = 5.2822 feet .

Therefore , 161 cm is approximately equal to 5.29 feet .

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The measure of angle of a, b, and c are a = 90, b = 9- and c = 60 degrees

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

The figure

The angle at the circumference in a semicircle is 90°

This means that

a = b = 90 degrees

Also, we have

Angle c and angle with a measure of 60 degrees are equal

This means that

Angle c = 60 degrees

Hence, the measure of the angles are a = 90, b = 9- and c = 60 degrees

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Answer:

B

Step-by-step explanation:

Rate of change states

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

They are asking from day 2 to day 5, making 2 and 5 our x1 and x2.

On the table, the number below 2 is 0.75. The number below 5 is 2.5. We can use these as y1 and y2.

Now we can plug it in

[tex] \frac{2.5 - 0.75}{5 - 2} = \frac{1.75}{3} = .58 = 0.6[/tex]

0.6 because it asks for approximate

The average read speed is defined as the rate at which a person can read and comprehend written text

The average read speed refers to the rate at which a person can read and comprehend written text. This is typically measured in words per minute (wpm). According to studies, the average reading speed for adults is around 200 to 300 wpm, although this can vary depending on factors such as reading proficiency, familiarity with the material, and reading conditions.

Factors that can affect reading speed include:

Word length and complexity: Longer and more complex words can slow down reading speed.

Font size and style: Smaller fonts and difficult-to-read styles can also slow down reading.

Reading experience: Frequent readers tend to have higher reading speeds than occasional readers.

Comprehension level: Reading speed can decrease if the reader is trying to understand difficult or technical material.

It's important to note that while reading speed is a useful metric, it's not always the most important factor in reading. Comprehension and retention of the material are also crucial, so it's important to find a balance between reading speed and comprehension.

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Answer:

1. Divide the compound figure into parts whose areas can be calculated. These parts must be simple shapes such are rectangles, triangle, circles, etc. for which there is a formula, and the dimensions (length, width, height, radius, etc.) must be shown or can be calculated.

2. Calculate the area of each part.

3. Add all areas together.

Answer:

x=180

Step-by-step explanation:

Once data has been collected through Qualtrics, it can be downloaded in a variety of formats, including a CSV file that can be imported into SPSS for data analysis.

Qualtrics is a popular web-based survey tool used to create and distribute online surveys.

To import Qualtrics data into SPSS, follow these steps:

Open SPSS and create a new data file.

Go to "File" > "Import Data" > "CSV File" and browse to find the Qualtrics data file you want to import.

In the import wizard, select the CSV file and choose the appropriate options for handling missing values and delimiters.

Specify the variable properties, including the variable name, label, and measurement level.

Click "Finish" to complete the import process.

Once the data has been imported into SPSS, you can use various statistical analyses to explore the relationships between variables, test hypotheses, and generate charts and tables to summarize the data.

The exact analysis methods used will depend on the research questions and the nature of the data, but common techniques include descriptive statistics, correlations, regression analysis, and factor analysis.

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Answer: It is not

Step-by-step explanation: If you graph the equation you can see that it is not a solution and doesn't line up.

The congruence rule is the ASA (Angle-Side-Angle) rule of congruence

The triangle EFD is congruent to triangle STR.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

Here, we have,

In the figure shown:

The side FD= RT belong to both △EFD and △STR

Since the two triangles, △EFD and △STR, have two congruent angles and an included side,  △EFD and △STR are congruent according to the ASA rule.

The ASA rule states that if two angles and an included side of one triangle are congruent to the two angles and an included side of another triangle, then the two triangles are also congruent.

Hence, The congruence rule is the ASA (Angle-Side-Angle) rule of congruence. The triangle EFD is congruent to triangle STR.

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Answer:

37cm^2

Step-by-step explanation:

Area of rectangle = Length × Width

This shape needs to be split then you simply work out the area of each shape and add it.

Shape 1: 3cm × 5cm = 15cm^2

Shape 2: 2cm × 11cm = 22cm^2

Now add them together: 15cm^2 + 22cm^2 = 37cm^2

After converting 72 inches into inches, we will get it as: 72 inches equal to 6 feet.

Length conversion is the process of converting length measurements between different units.

The metric system uses length units like kilometres (km), metres (m), centimetres (cm), and so on.

As we know,

1 Foot equal to 12.000005 Inches.

But actually, we can consider it as:

The 12 inches is equal to 1 foot.

We have to convert the 72 inches into feet,

So, We will simply divide the value of given inches by 12

Thus, we will get it as:

72 inches = (72/12) feet = 6 feet

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The complete question may be:

What is the conversion of 72 inches into feet?

In statistics, p-value significance is the measure of the strength of evidence against the null hypothesis.

P-value significance is used to determine whether or not a result is statistically significant. The p-value is the probability of obtaining the observed results or more extreme results if the null hypothesis is true. If the p-value is below the chosen significance level, usually 0.05, the null hypothesis is rejected, indicating that the results are statistically significant.

This means that the observed data is unlikely to have occurred by chance alone and that there is strong evidence to support the alternative hypothesis. P-value significance is an essential concept in hypothesis testing, and it is widely used in scientific research, medical trials, and other statistical analyses.

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The expansion of (2x+3y) ∧ 6 will contain 7 terms.

The expansion of [tex](2x+3y)^6[/tex] will contain 7 terms.

To see why, consider the binomial theorem, which tells us that the expansion of [tex](a + b) ^n[/tex] will have (n+1) terms, where the first term has coefficient 1 and the last term has coefficient 1.

In the case of [tex](2x+3y)^ 6[/tex], we can think of this as the expansion of [tex](2x + 3y) ^6 as (2x) ^ 6 + 6(2x) ^ 5(3y) + 15(2x) ^ 4(3y) ^ 2 + 20(2x) ^ 3(3y) ^3 + 15(2x) ^2(3y) ^ 4 + 6(2x)(3y) ^5 + (3y) ^6.[/tex]

As we can see, there are seven terms in this expansion, each with a different combination of powers of 2x and 3y. Therefore, the expansion of [tex](2x+3y)^ 6[/tex] will have 7 terms.

In mathematics, an expression is a combination of numbers, variables, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, or roots.

Expressions are used to represent numerical or algebraic quantities, and they can be as simple as a single number or variable, or as complex as a polynomial or rational function.

For example, the expression 2 + 3 represents the sum of 2 and 3, and the expression 3x - 7 represents the result of multiplying x by 3 and then subtracting 7.Expressions can be evaluated by following the order of operations, which tells us to perform operations in a specific order (parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right).

Expressions can also be simplified or manipulated using algebraic rules and properties to make them easier to work with or to solve equations involving them.

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Answer:

a = √c²-b²

Step-by-step explanation:

Sup bro,

The correct answer is a = √c²-b²

The two vectors are indeed considered linearly dependent if they are collinear. So the given statement is true about two linear dependent vectors.

The set [tex]\{v_1, v_2,.....,v_k\}[/tex] is considered as linearly dependent if numbers [tex]\{x_1, x_2, ....,x_k\}[/tex]are not equal to zero. Then, [tex]x_1v_1+x_2v_2+.....+x_kv_k=0[/tex]. This equation is referred to as the equation of linear dependence or linear dependence relation.

When two vectors are collinear, or when one is a scalar multiple of the other, they are said to be linearly dependent. These collinear vectors are also referred to as parallel vectors and these vectors will lie along the same line or parallel line. The given statement is therefore true.

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Using distributive property, the expression 55x+5 can be written as 5(11x+1).

Algebraic equations with equivalent solutions or roots are called equivalent equations. An analogous equation is one that is created by adding or removing the identical quantity or expression from both sides of a given equation. An equation is equivalent if both sides are multiplied or divided by the same non-zero value.

Expression           Property         Equivalent expression

3(2+x)                 Distributive                  6+3x

2+(3+4)              Associative                  (2+3)+4

24x+18y             Distributive                 8(3x+y)

4x+5x                Commutative              5x+4x

5+2+3               Commutative               3+2+5

(5x.3y).2           Associative                  5x.(3y.2)

12-3x                Distributive                   3(4-x)

6+3                  Commutative                 3+6

(2x.3y).5z         Associative                  2x(3y.5z)

4(5-2y)             Distributive                   20-8y

y+0                  Identity                             y

a.b                  Commutative                   b.a

3x.1                  Identity                            3x

(a+b)+c           Associative                   a+(b+c)

55x+5            Distributive                   5(11x+1)

8(y-2)             Distributive                    8y-16

2x+5y             Commutative                5y+2x

Therefore, using distributive property, the expression 55x+5 can be written as 5(11x+1).

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Answer:

x = 39

Step-by-step explanation:

We need to solve for the interior angle measure. The sum of a triangle's interior angle measures are 180, so we just have to create an equation and solve for x.

[tex]x+102+39=180[/tex]

Add like terms

[tex]x+141=180[/tex]

Subtract 141 on both sides

[tex]x=39[/tex]

To check our work, we can add the angle measures together to see if they add up to 180.

[tex]39+102+39 = 180[/tex]

375 different combinations of pizza Allie and his friends can create.

What is a combination?

Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, nCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.

The vegetable toppings are mushrooms, broccoli, green peppers, olives, and onions.

Here, n=5 r=1

So, C(n, r) = 5!/1!(5-1)!

= 5

The meat toppings are pepperoni, salami, sausage, chicken, and ground beef.

Here, n=5 r=1

So, C(n, r) = 5!/1!(5-1)!

= 5

They can pick thick, hand-tossed, or deep-dish crust.

Here, n=3 r=1

So, C(n, r) = 3!/1!(3-1)!

= 3

They can also pick garlic, tomato, ranch, pesto, or barbecue sauce.

Here, n=5 r=1

So, C(n, r) = 5!/1!(5-1)!

= 5

Number of ways = 5×5×3×5

= 375

Hence, in 375 ways they can choose pizza.

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For the circle inscribed in the triangle the value for QK is 17.34.

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre.

From the given figure it can be seen that XZ is bisected.

XZ = XK + KZ

Also XK = KZ

The value of XZ is 36.

So, XK = XZ/2

XK = 36/2

XK = 18

Q is the circumcentre because Q is the point of intersection of perpendicular bisectors of sides of triangle.

So, this gives -

Circumradius = QX = QY = QZ.

And QX = 25.

Use the Pythagoras theorem for ΔQXK -

QX² = XK² + QK²

25² = 18² + QK²

QK² = 25² - 18²

QK² = 625 - 324

QK = √301

QK = √301

QK = 17.34

Therefore, the value is obtained as 17.34.

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A liter contains roughly 33.814 liquid ounces.

Liter and ounces are used to measure the volume.

There are around 33.814 fluid ounces in a liter when converting between fluid ounces and liters. So, we increase the amount of liters by 33.814 to convert from liters to fluid ounces.

For instance, 2 liters would be converted to 67.628 fluid ounces using the formula 2 x 33.814.

It's crucial to remember that while the ratio of fluid ounces to liters is not precise, it offers a good estimate for the majority of common uses.

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The answers to each type of quadrilateral given below.

A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.

Given:

A quadrilateral with a pair of opposite sides parallel but not congruent is a Trapezium.

A quadrilateral with a pair of opposite sides congruent not parallel

is isosceles trapezoid.

A quadrilateral with 2 pairs of congruent angles is a parallelogram.

A quadrilateral with one right angle is right quadrilateral. .

A quadrilateral with two consecutive congruent sides is Kite.

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The statement "The Central Limit Theorem says that a histogram of the sample means will have a bell shape, even if the population is skewed and the sample is small. " is false.

What is meant by the central limit theorem?

According to the central limit theorem, a statistical theory, samples with large sample size and a finite variance will have a normal distribution and a mean that is about equal to the mean of the entire population. The central limit theorem proves that, in many circumstances, given identically distributed independent samples, the standardised sample mean tends towards the conventional normal distribution even though the original variables themselves are not normally distributed.

Since the given sample is small, the histogram will not have a bell shape.

This is because according to central limit theorem, the normal approximation may not be very accurate when the sample size is small, Yet, the normal approximation gets better as the sample size increases.

Therefore the statement "The Central Limit Theorem says that a histogram of the sample means will have a bell shape, even if the population is skewed and the sample is small. " is false.

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The probability that exactly 12 of the 15 adult smartphone users use their smartphones in meetings or classes is approximately 0.0040 (rounded to four decimal places).

We can solve this problem using the binomial probability formula:

[tex]P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)[/tex]

where:

P(X = k) is the probability of exactly k successes (using smartphones in meetings or classes)

n is the total number of trials (in this case, 15 adult smartphone users)

k is the number of successes (in this case, 12 adults using their smartphones in meetings or classes)

p is the probability of a success on a single trial (in this case, 0.44)

(1 - p) is the probability of a failure on a single trial (in this case, 0.56)

Using this formula, we can plug in the values and calculate:

[tex]P(X = 12) = (15 choose 12) * 0.44^12 * 0.56^(15-12)[/tex]

[tex]= 455 * 0.0001473577 * 0.215872256[/tex]

= 0.0040367

Therefore, the probability that exactly 12 of the 15 adult smartphone users use their smartphones in meetings or classes is approximately 0.0040 (rounded to four decimal places).

[tex]= 455 * 0.0001473577 * 0.215872256[/tex].

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Assume that when adults with smartphones are randomly selected, 44% use them in meetings or classes. If 15 adult smartphone users are randomly selected, find the probability that exactly 12 of them use their smartphones in meetings or classes?(Round to four decimal places as needed.)

The correlation coefficient, denoted by "r," measures the strength and direction of the linear relationship between two variables. Changing the order of the variables does not affect the value of r.

That is, if we calculate the correlation coefficient between variable X and variable Y, and then switch the order to calculate the correlation coefficient between variable Y and variable X, we will obtain the same result.

This is because the correlation coefficient measures the degree to which two variables are related, regardless of which variable is considered the predictor or the outcome.

In other words, the relationship between X and Y is the same as the relationship between Y and X. The correlation coefficient only changes if the actual relationship between the two variables changes.

Therefore, the order in which we consider the variables does not affect the correlation coefficient, as long as we are measuring the correlation between the same two variables.

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All the angle measures are;

m∠A = 160°

m∠B  = 142°

m∠C = 120°

m∠D  = 156°

m∠E = 31°

m∠F = 111°

Angles inside a polygon are referred to as interior angles. A triangle, for instance, has three internal angles. Interior angles are sometimes defined as "angles confined in the interior area of two parallel lines when they are crossed by a transversal."

Given:

Mr. Smith is putting a brick border around his irregularly shaped yard.

Before installing the border,

he must cut the bricks to fit the angles of the garden.

There are 6 sides to the polygon.

The total sum of the irregular angle = (4 - 2) x 180° = 720°.

So,

7x - 8 + 4x + 46 + 5x + 6x + 12 + x + 7 + 5x - 9 = 720°.

28x = 720 - 48

x = 24

Now, all the measures are:

m∠A = 7x - 8 = 160°

m∠B = 4x + 46 = 142°

m∠C = 5x = 120°

m∠D = 6x + 12 = 156°

m∠E = x + 7 = 31°

m∠F = 5x - 9 = 111°

Therefore, all the measures are given above.

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Answer: The answer will be 8^2

Step-by-step explanation: We know,

4^3 = 4*4*4 = 64 which is also equivalent to next in series 4*4 =8 and 3-1 =2

i.e. 8^2= 64

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