Hello. I think i understand this but I think I messed up rounding to the nearest Tenth

The graph intersects the vertical axis at (0,7). The solution has been obtained by using the concept of intercepts.

What are intercepts?

The slope of the line passes through a point on the y-axis known as an intercept.

The two primary intercepts are X and Y intercepts. The points where the line crosses the x and y axes, respectively, are known as the x-intercept and y-intercept of the line.

We are given an equation as x + 4y = 28

The graph intersects the vertical axis i.e. the y-axis when x coordinate is 0.

So, substituting x = 0 in x + 4y = 28, we get

⇒0 + 4y = 28

⇒4y = 28

⇒y = 7

Hence, the graph intersects the vertical axis at (0,7).

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The value of x in the similar triangle is 6 units.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Therefore, let's use the similarity ratio to find the value of x in the similar triangle as follows:

Hence,

5 / 40 = x / 48

48 × 5 = 40x

240 = 40x

divide both sides by 40

x = 240 / 40

x = 6

Therefore,

x = 6

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Answer:

The interval of converges of a power series is the interval of input values for which the series converges.

Step-by-step explanation:

Answer:

Hello!!

2.1 repeating as a mixed number would be written as \(2\frac{1}{9}\)

Step-by-step explanation:

The first thing you should do is save the "2" as a whole number because it is before the decimal. A fraction to represent 0.111111111 would be \(\frac{1}{9}\).

Hope this helps!!

If 24,783 is invested, part at 15% and the rest 9%. If the interest earned from the amount invested at 15% exceeds the interest earned from the amount invested at 9% by $894.09: 51,960 is invested at 15%, and 22,823 is invested at 9%.

Let's x represent the amount invested at 15%

Let the  amount invested at 9% = 24,783 - x.

Interest earned at 15% is 0.15 * x

Interest earned at 9% is 0.09 * (24,783 - x)

We can set up the equation: 0.15x = 0.09 * 24,783 - 0.09x + 894.09

Solving for x:

0.06x = 24,783 * 0.09 + 894.09

0.06x = 2223.47 + 894.09

0.06x = 3117.56

x = 51,960

So,

(24,783 - x)

24,783 - 51,960

= 22,823

Therefore 51,960 is invested at 15%, and 22,823 is invested at 9%.

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Answer:

26.46

Step-by-step explanation:

24.50 x .08 = 1.96 (this is our sales taxes)

1.96 + 24.50 = 26.46

Total number of slices = 12

No. of slices eaten by Kesh = 2

No. of slices eaten by Jorge = 3

No. of slices left

= Total number of slices - (No. of slices eaten by Kesh + No. of slices eaten by Jorge)

= 12 - (2 + 3)

= 12 - 5

= 7

Fraction of the pizza left

= No. of slices left/Total number of slices

= 7/12

Answer: 7/12

Find the total amount of pizza eaten.

Kesh = 2 slices

Jorge = 3 slices

Total eaten: 5/12

Subtract 5/12 from 12/12.

12/12 - 5/12 = 7/12

Answer = 7/12

Hope this answer helped!

Answer:

According to the given values London's statement is incorrect.

Simple interest is a type of interest that is calculated based on the principal amount of a loan or investment and the length of time for which the money is borrowed or invested. It is called "simple" because the interest is calculated only on the initial principal amount and does not take into account any interest that may have accrued in previous periods.

Let's calculate the interest earned by each person after one year:

London:

The amount deposited by London is $100. The simple interest rate is 3.4%. Therefore, the interest earned by London after one year is:

\($$\text{Interest}\) = \(\text{Principal} \times \text{Rate} \times \text{Time}\) = \($100 \times 3.4%\) \(\times 1\)= \($3.40$$\)

Chen:

The amount deposited by Chen is $200. The simple interest rate is 2.2%. Therefore, the interest earned by Chen after one year is:

\($$\text{Interest} = \text{Principal} \times \text{Rate} \times \text{Time}\)= \($200 \times 2.2%\) \(\times 1\) = \($4.40$$\)

As we can see, even though London's interest rate is higher than Chen's, Chen will earn more interest in one year because he deposited a larger amount of money.

Therefore, according to the given values London's statement is incorrect.

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Answer: Hope this helps ;)

Step-by-step explanation:

The probability that the mean length of 48 items is greater than 8.8 inches can be calculated using the normal distribution.

First, we need to standardize the value 8.8 inches by subtracting the mean length (10.2 inches) and dividing by the standard deviation (3.3 inches):

(8.8 - 10.2) / 3.3 = -1.4 / 3.3 = -0.42424242

We can use a z-table or a normal distribution calculator to find the probability that a random variable is less than -0.42424242 standard deviations below the mean. This probability is equal to the probability that the mean length of 48 items is greater than 8.8 inches.

Using a calculator, we find that the probability is 0.3389.

Rounding to four decimal places, the probability that the mean length of 48 items is greater than 8.8 inches is 0.3389.

Answer:

3 cups

Step-by-step explanation:

24/8=3

Answer:

The answer is increased by 9

Step-by-step explanation:

A. A table of values and graph of the function is shown below.

B. The object would hit the ground at approximately 8.963 seconds.

Based on the information provided, we can logically deduce that the height (s) in meters, of this object above the​ ground is related to time by the following quadratic function:

s(t) = -4.9t² +39.2t + 42.3

When t = 0, s(t) is given by;

s(0) = -4.9(0)² +39.2(0) + 42.3

s(0) = 42.3

When t = 1, s(t) is given by;

s(1) = -4.9(1)² +39.2(1) + 42.3

s(1) = 76.6

When t = 2, s(t) is given by;

s(2) = -4.9(2)² +39.2(2) + 42.3

s(2) = 101.1

Therefore, the table can be created as follows;

Time (t)     Height s(t)

0                  43.3

1                   76.6

2                  101.1

3                  115.8

4                  120.7

5                  115.8

Part B.

Generally speaking, the height of this object would be equal to zero (0) when it hits the ground. By critically observing the graph (see attachment), we can logically deduce that the object would hit the ground at approximately 8.963 seconds.

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The required simplified solution for the given logarithm expression is y = 3 / 2x.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
To simplify the given expression,
ln(3) - ln(2) + ln(1/x) = ln (y)
ln(3) + ln(1/x) =  ln(2) + ln(y)
By the property of logarithm,
3/x = 2y
y = 3 / 2x

Thus, the required simplified solution for the given logarithm expression is y = 3 / 2x

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Question A is the survey that you expect to have fair results regarding attitudes about carnivals

This survey question is the most neutral and fair among the options provided. It doesn't include any leading or biased language that may influence the respondent's answer.

Option B uses the adjective "exciting," which could lead people to think positively about carnivals.

Option C brings in the unrelated factor of "traveling across town," which could negatively influence the response based on travel preference rather than attitude towards carnivals. Option D uses negative descriptors "noisy" and "overpriced," which could lead people to think negatively about carnivals.

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The expression without absolute value bars is 3.84.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

|√10 - 7 |

= | 3.16 - 7 |

= | -3.84 |

= 3.84

Thus,

The value of the expression is 3.84.

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In the excerpt from "The City Lost in the Snow," the statement that best reflects how the cultural setting influences Sigismondo's attitude is: C.

The scarcity of jobs makes Sigismondo appreciate the temporary employment the snow provides. T

his statement reflects the importance of the cultural setting, as it shows that Sigismondo values the opportunity to work and earn money, even if it's temporary, due to the scarcity of jobs in the city.

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The distance between Basti and Cian is approximately 138.2 ft. Option D

To find the distance between Basti and Cian, we can use the Law of Sines, which relates the lengths of sides to the sines of their opposite angles in a triangle.

Let's label the points: A, B, and C. Ali is at point A, Basti is at point B, and Cian is at point C.

Given:

Angle ABC = 50 degrees (angle opposite side AC)

Angle BAC = 60 degrees (angle opposite side BC)

Ali is 150 ft away from Basti (side AB)

We want to find the distance between Basti and Cian, which is side BC.

Using the Law of Sines, we have:

BC/sin(50) = AB/sin(60)

Substituting the known values:

BC/sin(50) = 150/sin(60)

To find BC, we can rearrange the equation:

BC = (150/sin(60)) * sin(50)

Using a calculator to evaluate the expression:

BC ≈ 138.2 ft

Option D is correct.

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We need to find the explicit equation for the sequence:

First, we can complete the given table. Notice that when we subtract 4 from the n-th term, we obtain the next term (n+1).

Then, to find a previous term, we can add 4. Thus. we obtain:

n t(n)

0 14+4 = 18

1 10+4 = 14

2 10

3 10-4 = 6

4 6-4 = 2

5 2-4 = -2

Now, observing the above relations, we need to write an expression for t(n) in terms of n:

n t(n)

0 18 = 18 - 0*4

1 14 = 18 - 1*4

2 10 = 18 - 2*4

3 6 = 18 - 3*4

4 2 = 18 - 4*4

5 -2 = 18 - 5*4

...

n 18 - n*4

Therefore, an explicit equation for the sequence is:

Answer:36.10

Step-by-step explanation: add 31+5= 36 the other one 1 +9 = 10 that's the answer please mark me as brainlest

The equation for the collection of the cans in the slope-intercept form is y = 5.9x + 31.1.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that Jack collected 31.1 pounds of cans to recycle and plans to collect 5.9 more pounds each week.

The equation will be written as below,

y = mx+c

y = 5.9x + 31.1

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Answer:

Radius: 2.1Inches

Step-by-step explanation:

Circumference

Circumference is the linear distance around the circle edge.

Radius

The radius of a circle is any of the line segments from its center to its perimeter. The radius is half the diameter or r = d

2

.

Diameter

The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. The diameter is twice the radius or d = 2·r.

The Greek letter π

π represents the number Pi which is defined as the ratio of the circumference of a circle to its diameter or π = C

d

. For simplicity, you can use Pi = 3.14 or Pi = 3.1415. Pi is an irrational number. The first 100 digits of Pi are: 3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679

Answer:

stacy 30 and naomi 18

Step-by-step explanation:

The probability of randomly drawing a 10 from the deck is:

P = 1/13

We want to find the probability of randomly drawing a 10 from the deck.

Remember that there are 4 suits of 13 cards each, so thereare 52 cards in total and 4 of these cards are tens.

The probability of randomly drawing a 10 is equal to the quotient between the number of cards with a 10 on it (4 of these) and the total number of cards in the deck (52).

It is:

P = 4/52 = 1/13

That is the probability.

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The value of the expression 34 - 9 x 2 is 16.

The order of operations is a set of rules that dictate the order in which mathematical operations should be performed in an expression. These rules help to ensure that mathematical expressions are evaluated correctly and consistently. The order of operations is typically summarized by the acronym PEMDAS, which stands for:

Parentheses: Perform operations inside parentheses first.

Exponents: Evaluate exponents (powers and square roots, etc.) next.

Multiplication and Division: Perform multiplication and division, from left to right.

Addition and Subtraction: Perform addition and subtraction, from left to right.

In the given questions,

In this case, there are no parentheses or exponents, so we move on to multiplication before subtraction.

We perform the multiplication first, following the rule of performing multiplication before addition or subtraction.

9 x 2 = 18

Then, we subtract the result from 34:

34 - 18 = 16

Therefore, the value of the expression 34 - 9 x 2 is 16.

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The width of the dog run is 20 feet.

In the given problem, the length of the dog run is given as 30 feet.

The area of the dog run is also given as 240 square feet.

Using the formula for the area of a rectangle (A = lw), we can solve for the width (w).

Rearranging the formula, we have w = A / l.

Plugging in the values, we get w = 240 / 30 = 8 feet.

Since the width is given as (30 minus x) feet, we can set up an equation:

30 - x = 8. Solving for x, we find x = 22.

Therefore, the width of the dog run is 20 feet (30 - 22 = 8).

In this problem, the length and width of the dog run are defined by the dimensions of the fence being built around it.

The area of the dog run is given as 240 square feet.

By using the formula for the area of a rectangle, we can solve for the width. We are also given that the length is 30 feet.

Setting up an equation with the given width (30 minus x) and solving for x, we find that x is equal to 22.

This means that the width of the dog run is 8 feet. The main answer to the problem is that the width of the dog run is 20 feet (30 - 22 = 8).

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Answer:

8.5 < 7

Step-by-step explanation:

8.5 is less than 7.

doesn't verify mathematically.