what is 4.24 divided by 4

Answer:

see below and attachment

Step-by-step explanation:

a=30°

because, the marked angle of 30° is an alternate interior angle to angle a.  Alternate interior angles are congruent, and we know they are congruent because the 2 horizontal lines are parallel.

b=50°

because the marked angle of 50° is a vertical angle to angle b.  Vertical angles are congruent because 2 lines that intersect have opposite congruent angles, making them vertical angles to each other.

c=50°

because the marked angle of 50° is a corresponding angle (same side angle) to angle c.  These corresponding angles are congruent because the 2 horizontal lines are parallel.

d=100°

because the 3 interior angles of a triangle must add up to 180°.  We have 30°, 50°, so the last angle must be 100°.  We can also figure this out because the bottom horizontal line is a straight line, meaning the angle is also 180°.  We have angle a as 30°, angle c as 50°, so angle d must be 100°.

Hope this helps!  See attachment for visual.

If Leila makes a dot plot of the heights of the girls in her class to the nearest ¹/₂ inch, the number of different heights that will include on the number line is 5.

A dot plot is a data visualization tool that consists of data points plotted as dots on a graph with an x- and y-axis.

The number of dots plotted on each number line shows the frequency of the data group.

Height    Frequency   Cumulative Frequency

56¹/₂             2                               2

57                 2                               4

57¹/₂             2                               6

58                2                               8

58¹/₂             1                               9

Thus, arranging the heights according to groups, the different heights on the number line can be classified into 5.

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Answer:

About $2530.63

Step-by-step explanation:

The formula for this kind of calculation is \(A=P(1+\frac{r}{n})^{nt}\), where P is the initial investment, r is the interest rate, n is the number of times you compound your investment per year, and t is the number of years. Assuming that you compound yearly, plugging in the numbers that you have given, you are left with:

\(2000=P(1+\frac{0.04}{1})^{t}\)

\(2000=P\cdot (1.04)^5\\P\approx 1643.85\\A=1643.85 \cdot (1.04)^{11}\approx $2530.63\)

Hope this helps!

FIFO - March cost of goods sold = $13,050. March 31 inventory = $7,350. LIFO - March cost of goods sold = $14,600. March 31 inventory = $5,800.

To calculate March cost of goods sold we need to add the given data for FIFO =

March cost of goods sold

= (2,800 + 3,700 + 6,550)

= 13,050

To calculate March cost of goods sold we need to add the given data for LIFO =

March cost of goods sold

= (3,400 + 4,400 + 6,800)

= 5,800

Sales data refers to the information collected and recorded about the transactions that occur when a business sells products or services to customers. This data typically includes details such as the date and time of the sale, the products or services sold, the quantity sold, the price paid, and the customer's information. Sales data is crucial for businesses as it helps them understand their sales performance, identify trends and patterns and make informed decisions about their pricing, marketing and inventory management strategies.

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Answer:

3238 i think

Step-by-step explanation:

176x18.4=3236

V = I divided by resistance so voltage times the resistance or the I equals what ever you are trying to find

9514 1404 393

Answer:

 453.32

Step-by-step explanation:

The argument of the summation symbol is recognizable as the general term of a geometric series with first term a1=4 and common ratio r=1.5. The indices on the summation symbol tell you that you want the sum of the first 10 terms of the series.

The general form of the sum of the first n terms of a geometric series is ...

  Sn = a1(r^n -1)/(r -1)

For the given values of a1 and r, this sum is ...

  \(S_{10}=4\cdot\dfrac{1.5^{10}-1}{1.5-1}=4\cdot\dfrac{57.6650390625-1}{0.5}\\\\\boxed{S_{10}\approx453.32}\)

____

Your graphing calculator may be able to evaluate this for you directly.

Answer:

22

Step-by-step explanation:

To find the rage, you subtract the smallest number from the largest number in the set of numbers.

So...

26 - 4 = 22

A) S(x) = 18x + -36005

B) 18

C) 2013

Answer:

x + 7

Step-by-step explanation:

x2 + 4x − 21

set equal to 0

x2 + 4x − 21 = 0

factor

(x - 3) (x + 7)

x2 + 11x + 28

set equal to 0

x2 + 11x + 28 = 0

factor

(x + 4) (x + 7)

Answer:

35 pages

Step-by-step explanation:

First count how many minutes have passed. Divide by 15, then multiply by 5 since 5 pages are read every 15 minutes.

Answer:

35 pages

Step-by-step explanation:

If Pat reads 5 pages in 15 minutes, then it means that for every 5 pages he reads, it will take him 15 minutes. So, his rate is 5/15, simplified to 1/3. For every 1 page he reads, it will take him 3 minutes. 1pm-2:45pm is 1 hour and 45 minutes, which is 105 minutes. Now we just have to divide it by 3, since he reads 1 page every 3 minutes. 105/3=35. He will read 35 pages.

the answer is 5x/8

hope this helps

Answer:

\(\frac{5}{8}\)

Step-by-step explanation:

I hope this helps!

Answer:

12

Step-by-step explanation:

A solution for the given system of equations y = 3x - 8 and x + y = 4 through the graph method is 3 and 1.

In Mathematics, a system of equations can be defined an algebraic equation that only has two (2) variables and can be solved simultaneously or graphically.

In this scenario, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;

y = 3x - 8    .....equation 1.

x + y = 4     .....equation 2.

Making y the subject of formula in equation 2, we have the following:

y = -x + 4

Based on the graph (see attachment), we can reasonably infer and logically deduce that the required solution for the given system of equations is the point of intersection of the two (2) lines on the graph, which is given by the coordinate (3, 1);

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The number of square inches of cardboard that are needed to make one

the container is 18.

We have,

The volume of the triangular prism.

= Area of the triangle x height

Now,

Height = 6 in

And,

To find the area of a triangle, we can use Heron's formula.

A = √(s(s-a)(s-b)(s-c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.

Let's calculate the area using Heron's formula:

s = (3.2 + 3.2 + 2) / 2 = 4.2

A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))

A = √(4.2 x 1 x 1 x 2.2)

A = √(9.24)

A ≈ 3.04 square inches

Now,

The volume of the triangular prism.

= Area of the triangle x height

= 3.04 x 6

= 18.24 in²

Now,

Area of one cardboard.

= 1² in²

= 1 in²

Now,

The number of square inches of cardboard that are needed to make one

container.

= The volume of the triangular prism / Area of one cardboard

= 18.24 in² / 1 in²

= 18.24

= 18

Therefore,

The number of square inches of cardboard that are needed to make one

the container is 18.

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Answer:

the answer is 28.23

Step-by-step explanation:

just subtract them to know the difference between the estimate and the actual

Using the concept of the word problem and utilizing the provided conditions and values, The answer is 18, 20, and 22.

A word problem in mathematics is a problem or exercise that is expressed in a natural language, rather than in mathematical notation. These types of problems often present a real-world situation that involves mathematical concepts, such as numbers, operations, or measurements. They typically require the use of mathematical reasoning and problem-solving skills to understand the problem and find a solution. Examples of word problems include: "If a train travels 60 miles per hour and you want to know how far it will travel in 4 hours", "If a rectangle is 6 meters long and 4 meters wide, what is its area?", "If a bag contains 3 red balls and 4 blue balls, what is the probability of picking a blue ball?"

In a mathematical problem, the conditions refer to the specific information or constraints provided in the problem statement that must be taken into account in order to find a solution. These conditions can include information about the quantities involved in the problem, the operations that need to be performed, or the specific requirements that the solution must meet.

Let x be the smallest of the three consecutive even integers. Then the next two integers are x+2 and x+4. We know that:

x + (x+4) * 3 = 84

Expanding and solving for x:

x + 3x + 12 = 84

4x = 72

x = 18

So the three consecutive even integers are 18, 20, and 22.

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Answer:

\(\dfrac{5e^2}{2}\)

Step-by-step explanation:

Differentiation is an algebraic process that finds the slope of a curve. At a point, the slope of a curve is the same as the slope of the tangent line to the curve at that point. Therefore, to find the slope of the line tangent to the given function, differentiate the given function.

Given function:

\(y=x^2\ln(2x)\)

Differentiate the given function using the product rule.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Product Rule for Differentiation}\\\\If $y=uv$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}\)

\(\textsf{Let\;$u=x^2}\)\(\textsf{Let\;$u=x^2$}\implies \dfrac{\text{d}u}{\text{d}x}=2x\)

\(\textsf{Let\;$v=\ln(2x)$}\implies \dfrac{\text{d}v}{\text{d}x}=\dfrac{2}{2x}=\dfrac{1}{x}\)

Input the values into the product rule to differentiate the function:

\(\begin{aligned}\dfrac{\text{d}y}{\text{d}x}&=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}\\\\&=x^2 \cdot \dfrac{1}{x}+\ln(2x) \cdot 2x\\\\&=x+2x\ln(2x)\end{aligned}\)

To find the slope of the tangent line at x = e²/2, substitute x = e²/2 into the differentiated function:

\(\begin{aligned}x=\dfrac{e^2}{2}\implies \dfrac{\text{d}y}{\text{d}x}&=\dfrac{e^2}{2}+2\left(\dfrac{e^2}{2}\right)\ln\left(2 \cdot \dfrac{e^2}{2}\right)\\\\&=\dfrac{e^2}{2}+e^2\ln\left(e^2\right)\\\\&=\dfrac{e^2}{2}+2e^2\\\\&=\dfrac{5e^2}{2}\end{aligned}\)

Therefore, the slope of the line tangent to the graph of y = x²ln(2x) at the point where x = e²/2 is:

\(\boxed{\dfrac{5e^2}{2}}\)

A change score that would be 2.2 standard deviations below the mean would be a score of negative 5.45.

A change score in SD is a measure of the amount of change in a data set compared to its original state. It is calculated by dividing the result by the data set's standard deviation and subtracting the data set's initial value from its current value. This tells you how much the data has changed since it was first created. Change scores can be used to measure changes over time in test-retest scores, clinical outcome scores, or other data sets.

To find the change score, we calculate:

2.2 standard deviations below the mean:

2 - (2.2 * 3.16)

= 2 - 7.052

= -5.052

Rounding to two decimal places, we get:

change score: -5.45.

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Complete Question:

One hundred teachers attended a seminar on mathematical problem solving. The attitudes of a representative sample of 12 of the teachers were measured before and after the seminar. A positive number for change in attitude indicates that a teacher's attitude toward math became more positive. The 12 change scores are as follows: 3; 8; –1; 2; 0; 5; –3; 1; –1; 6; 5; –2 . Find the change score that is 2.2 standard deviations below the mean.

Median of the set is 34, as it is the middle value of the ordered set (32, 33, 33, 33, 34, 35, 35, 36, 38).

To find the middle of a bunch of numbers, the initial step is to organize the numbers all together from least to most prominent. For this situation, the arranged set is: 32, 33, 33, 33, 34, 35, 35, 36, 38.

The middle is the center number in the arranged set. On the off chance that there is an odd number of values, the middle is the center worth. On the off chance that there is a considerably number of values, the middle is the normal of the two center qualities.

For this situation, there are nine qualities in the set, which is an odd number. The center worth is the fifth worth, which is 34. Thusly, the middle of the set is B. 34.

To confirm, we can count four qualities before 34 and four qualities after 34 in the arranged set. Since there are an equivalent number of values when the middle, we can infer that 34 is for sure the middle.

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Answer:

8x^2-5x+10

you just need to put the ones that are the same together

The explicit formula of the given geometric sequence is a(n) = 8(1/2)ⁿ⁻¹.

Every term in a geometric series is obtained by multiplying the term before it by the same number aₙ= aₙ₋₁ + d is the general phrase for it. The common ratio is denoted by the number r. Any term in the sequence can be used to find it by dividing it by the word before it.

Any number series in which the ratio of succeeding terms is constant is referred to as a geometric sequence. where r is the proportion shared by all following terms. For instance, "2,6,18,54,162,486,1458,...

We have a sequence: 8, 4, 2, 1

The above sequence represents the geometric sequence with common ratio:

r = 4/8 = 1/2

First term a = 8

nth term:

a(n) = 8(1/2)ⁿ⁻¹

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Answer:

Charlotte: 7

Step-by-step explanation:

You can subtract 29 on both sides to get 7=p

Answer:

1,000 grams

noun. a unit of mass equal to 1,000 grams: the basic unit of mass in the International System of Units (SI). Up until 2019 the kilogram was defined as equal to the mass of an international prototype, a platinum-iridium cylinder kept in Sèvres, France.

Answer:

-3,1

Step-by-step explanation:

When you are doing Systems Of Equations using a graph, the point where the lines intersect is your answer

Answer:

slope is -9

y intercept is 3

Step-by-step explanation:

its in the equation

The mass of the sample before one hour is negative 7.

Given that:

Mass of the first sample, m₁ = 8x + 1

Mass of the second sample, m₂ = 2x - 5

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The number of hours when the mass of the samples is the same. Then we have

m₁ = m₂

8x + 1 = 2x - 5

6x = - 6

x = - 1

The mass of the sample before one hour is calculated as,

m₁ = 8(-1) + 1

m₁ = - 8 + 1

m₁ = - 7

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Answer:

first choice on the left.

Step-by-step explanation:

Comment

That is not the easiest graph I've seen to interpret. What it shows is that each cup of juice is 3/4 of a cup.

The graph says she has 4 cups that she can give out. She has 1/4 cup left over which is why it is marked.

Technically the answer is 4 cups with 1/4 cup left over, so the answer should be A.