A triangle has a base of 14 inches and a height of 11 inches find the area

If David uses 4 GB over the limit, then he has used a total of 6 + 4 = 10 GB of data in that month. Since his plan includes 6 GB of data, he has exceeded the limit by 4 GB.

For the extra 4 GB of data, he will be charged an additional $10 per GB, so his total extra charge will be $10 x 4 = $40.

Therefore, in a month where David used 4 GB over the limit, he would have to pay $30 (the base cost of the plan) plus $40 (the extra charge for the additional data), for a total of $70.

If David went over the limit by x GB, then his total data usage for the month would be 6 + x GB. He would then be charged $10 for each GB over the limit, so his extra charge would be $10 x x.

Therefore, in a month where David went over the limit by x GB, he would have to pay $30 (the base cost of the plan) plus $10x (the extra charge for the additional data), for a total of $30 + $10x.

Answer:

x = - 2 , x = 2 are the input values

Step-by-step explanation:

g(x) = 4 , means y has the value of 4 and we want to find the values of x corresponding to this.

locate y = 4 on the y- axis , then a horizontal line through this point , intersects the graph at (- 2, 4 ) and (2, 4 )

thus when g(x) = 4 , the input values are x = - 2 and x = 2

So the correct answer is $6,645, or option D. If just a portion of that sum was spent on print advertising.

Multiplication is the inverse of division. If 3 groups of 4 add up to 12, 12 split into 3 equal groups adds up to 4 in each group in division. The basic purpose of splitting is to determine how many equal groups develop or how many people are in each group when distributing equally. A division in mathematics is the process of dividing a specified amount into equal pieces. For example, we can split a group of 20 people into four groups of five people each, or five groups of four people each, and so on.

Here,

If half of the $13,290 was spent on print advertising, then $13,290 / 2 = $6,645 was spent on print advertising.

Therefore, $13,290 - $6,645 = $6,645 was spent on TV advertising.

So, the answer is $6,645, or option D If of that amount was spent on print advertising.

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Therefore , the solution of the given problem of equation comes out to be Matias operated with the number 760.

A straightforward regression graph is created using the equation y=mx+b. B is the slope, and m is the y-intercept. Even though the portion before it consists of separate sections, it is frequently described as just a "simple algorithm combining many variables". Two factors make up bivariate linear equations. There are no solutions known for application issues involving linear equations.

Here,

When Matias moved the decimal point in 7.6 two places to the left, he essentially divided 7.6 by 100, which is equivalent to dividing by 10 raised to the power of 2.

So, if we let x be the number Matias operated with, we can set up the equation:

x ÷ 10² = 7.6

Simplifying:

x ÷ 100 = 7.6

Multiplying both sides by 100:

x = 760

Therefore, Matias operated with the number 760.

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Answer:

see below

Step-by-step explanation:

memorize this formula for cone volume:

V = 1/3 * π r²*h

so r = 18/2 =9

h = 3

solve V = 81π = 254

Answer:

254.47

Step-by-step explanation:

The best choice for the man and his spouse is that they should upgrade to the new policy because the current policy costs $1,044 for nine months, which is significantly less than the upgrade which costs $2,619 for nine months. That is option A.

A health insurance is defined as the amount of money deducted from a salary account which is used for health care services of the individual when accumulated over time.

The man and his spouse are expectant and they believe that the money for prenatal care and delivery would be from the health insurance.

Therefore, they should upgrade to the health insurance that pays $291 per month so as to accumulate an amount such as $2,619 which is approximately $3000.

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Complete question:

Analyze the following situation and determine which decision would be the best decision to make. Explain your answer. A man and his spouse are expecting a baby. Their current health insurance costs $116 per month, but doesn't cover prenatal care or delivery. They can upgrade to a policy that will cover their prenatal care and delivery, but their new premium will be $291 per month. The cost of prenatal care and delivery is approximately $3000. Select the correct choice below and fill in any answer boxes within your choice.

O A. They should upgrade to the new policy because the current policy costs $ for nine months, which is significantly less than the upgrade which costs $ for nine months.

OB. They should keep their current policy because it costs $ for nine months, which is significantly less than the upgrade which costs $ for nine months.

Answer:

Below

Step-by-step explanation:

If it decays  7.1 % ( which is .071 in decimal ) then .929 remains at the end of each year and the equation becomes

y =  750 (.929^t)    where t is years since 1999   and y is mg

lmk is anything is unclear. This would also work with cosine but it would have to be set up a little differently.

The better buy is 10 tickets for $1.00.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

Polk Elementary School was putting on its annual fall carnival.

The school was selling 10 tickets for $1.00 or 2 tickets for $0.254.

That means,

A). 10 tickets for $1.00 or

B).  2 tickets for $0.254.

So, 10 tickets for $1.3

Therefore, option A is a better choice.

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Answer:

Grandma Anni is correct, so no. One of the criteria for comparing two figures is that their corresponding lines must be congruent. Similar figures can vary in size while maintaining the same shape. They are therefore proportionate and have identical matching angles. The shapes of the figures will match if the associated lines are congruent.

The vertical asymptote of the function are 4. -4 and the horizontal asymptote is -1.

An asymptote is a line that a curve approaches but never touches. i.e., an asymptote is a line to which the graph of a function converges. When graphing functions, asymptotes are typically not required. However, when we graph them using dotted lines (imaginary lines), we have to be careful that the curve doesn't hit the asymptote. The asymptotes are therefore essentially made-up lines.

Given that, the function:

f(x) = (x² - 16) / (-x² - 16)

The horizontal asymptote of the function when both the degrees of numerator and denominator are equal is:

HA = Leading coefficient of numerator / leading coefficient of denominator

HA = 1 / -1

HA = -1

To calculate the vertical asymptote simplify the function:

f(x) = (x² - 16) / (-x² - 16)

f(x) = (x - 4) (x + 4) / (-x - 4) (-x + 4)

Equate the denominator to 0:

-x - 4 = 0, x= -4

- x + 4 = 0, x = 4

Hence, the vertical asymptotes of the function are 4. -4 and the horizontal asymptote is -1.

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Answer:

-150 ≤ t ≤ 18

Step-by-step explanation:

The probability of drawing two blue cards is 0.09.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

given:

Green cards = 5

Blue card=3

Red card= 2

So, the probability of getting blue card at first time

= 3/ 10

Now, the probability of getting blue card at second time

= 3/10

Thus, the probability of drawing two blue cards

= 3/10 x 3/10

= 9/100

= 0.09

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The amount of chemical solution needed to fill the container to the top is 165.56 L.

If the container is already 90% filled with a chemical solution, then the remaining empty space is 10% of the total volume. We can calculate the total volume of the container using the formula:

                 total volume = volume of solution/fraction of container filled

Plugging in the given values, we get:

                 total volume = 1490 / 0.9

                 total volume = 1655.56 L

So, the total volume of the container is 1655.56 L. To fill the container to the top, we need to add the amount of solution that fills the remaining 10% of the container. This is equivalent to:

                volume of remaining space = 0.1 * 1655.56

                volume of remaining space = 165.56 L

Therefore, we need to add 165.56 L of a chemical solution to fill the container to the top.

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Step-by-step explanation:

play the video that is in the activity

The area of the trapezoid MNRS is 378 square feet.

An open, flat object with four straight sides and one set of parallel sides is referred to as a trapezoid or trapezium. A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases.

In the figure below, trapezoid MNRS is made up of trapezoid MNPT,

triangle TPQ, and parallelogram TQRS.

The area of triangle TPQ is 84 square feet.

The lengths of NP, PQ, and QR are in the ratio 2 : 1.5 : 1.

The heights of the parallel base are,

a = 18 feet and b = 16 + 12 + 8 = 36 feet.

Let h be the perpendicular height.

So,

1/2 x h x 12 = 84

h = 14 feet.

The area of the trapezoid MNRS,

= 1/2 x (36 + 18) x 14

= 378 square feet.

Hence, the area is 378 square feet.

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Answer:

Step-by-step explanation:

Given a sawtooth, a parabola, and a logistic function, you want to identify the graphs that represent their derivatives.

The "zigzag" sawtooth function has constant positive slope alternating with constant negative slope. This is shown in derivative graph (c).

The slope of the parabola changes smoothly from positive to negative, going through zero in the middle. This is shown in derivative graph (a).

The slope of the logistic curve is positive everywhere, with a higher rate of change in the middle. This is shown in derivative graph (b).

En la A:

Step-by-step explanation:

Answer:

B. as a credit

Step-by-step explanation:

Without doing any calculations, the values of m, x_{0} and y_{0} in the point-slope form include the following:

M = 6

x_{0} = -1

y_{0} = 9.

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₀ = m(x - x₀)

Where:

From the information provided above, we have the following slope and data points on the line:

Initial point on the x-axis, x₀ = -1.

Initial point on the y-axis, y₀ = 9.

Slope, m = 6.

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Answer:The answer is letter E

Step-by-step explanation:

If you divide 4/15 you get 0.2666.

If you solve all of the choices letter E is equivalent to the expression.

The 98% confidence interval for the population mean μ is 20 < μ < 22

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

n = 130

μ = 21

σ = 3

To construct a 98% confidence interval for the population mean μ, we can use the following formula:

μ ± (z * σ / √n)

Where

z = 2.33 i.e. the Z-score for a 98% confidence level

So, we have

21 ± (2.33 * 3 / √130)

Evaluate

21 ± 0.61

This gives

20.39 < μ < 21.61

Approximate

20 < μ < 22

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Answer:

9x^2+4-12x+21x^2+x-10

30x^2-11x-6

Step-by-step explanation:

please make me as brainlest

Answer: sample mean is 166,4285714285714

and sample median is 170

Step-by-step explanation: sorry if its wrong

Answer:

Step-by-step explanation:

a. To compute the sample, mean, we add up all the weights and divide by the number of responses (in this case, 7):

(190 + 230 + 105 + 180 + 130 + 160 + 170) / 7 = 1265 / 7 ≈ 180.71

Therefore, the sample mean weight estimate is approximately 180.71 pounds.

b. To find the sample median, we need to put the responses in order from smallest to largest and then find the middle value. In this case, the ordered list of weights is:

105, 130, 160, 170, 180, 190, 230

The middle value is the average of the two values in the middle of the list, which in this case is:

(170 + 180) / 2 = 175

Therefore, the sample median weight estimate is 175 pounds.

The ratio of chocolate bars More Preferred: (9 chocolate bars, 3 glasses of milk); Equally Preferred: (6 chocolate bars, 3 glasses of milk); Less Preferred: (3 chocolate bars, 2 glasses of milk) and (9 chocolate bars, 2 glasses of milk).

The ratio of chocolate bars to glasses of milk that Isabel consumes is 3-to-1. This means that whenever she has 3 chocolate bars, she also has 1 glass of milk. Currently, Isabel has 6 chocolate bars and 2 glasses of milk. The bundles listed above are compared to Isabel's current consumption. Out of the five bundles, the one with 9 chocolate bars and 3 glasses of milk is more preferred than what Isabel currently has because it has more of the ratio than Isabel's current consumption. The bundle with 6 chocolate bars and 3 glasses of milk is equally preferred because it holds the same ratio as Isabel's current consumption. The bundles with 3 chocolate bars and 2 glasses of milk and 9 chocolate bars and 2 glasses of milk are less preferred because they both have less of the ratio than Isabel's current consumption.

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For the graph [tex]f(x)= a(x-h)^{2}+k[/tex] The graph goes upward if k > 0, but it shifts downward if k <  0.

A quadratic function is represented in its standard form as [tex]f(x)= a(x-h)^{2}+k[/tex], where (h, k) is the vertex. This form is also referred to as the vertex form of a quadratic function because the vertex occurs in the quadratic function's standard form.

To understand how the graph differs from the graph of y = x², the standard form is helpful. This fundamental function's graph is shown in the figure below.

A constant, k, can be added to or subtracted from the graph of f(x) = x² to represent a vertical (up, down) shift.

The graph goes upward if k > 0, but it shifts downward if k <  0.

Mathematicians use graphs to visually represent or chart facts or values in a logical way. Usually, a graph point will show the relationship between two or more objects.

A graph is a non-linear data structure made up of nodes, also known as vertices, and edges. The nodes, sometimes referred to as vertices, should be joined with glue. Vertices in this graph are 1, 2, 3, and 5, whereas edges are 1, 2, 1, 3, 2, 4, and (2.5). (3.5). (4.5). Graphical depictions of exponential development in statistical charts, such as bar charts, pie charts, and line graphs. a triangle-shaped logarithmic graph

Piecewise functions are exactly what their name implies: groups of several functions (subfunctions) on a single graph.

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The ratio of the length of BC to the length of DE is 1/2.

Arc length is defined as the distance between any two points on a section of a circle or curve.

The figure in the question is given below.

The formula to find the length of an arc is given as,

Arc length, l = rθ, where r is the radius and θ is the central angle in radians.

Given that,

Central angle for arc BC, θ = 1.18 radians.

Radius for arc BC, r = AC = AB

Arc length of BC = rθ

                            = 1.18 (AB)

Central angle for arc DE, θ = 1.18 + 2.36 = 3.54 radians

Radius for arc DE, r = AE = AD = 2/3 AB

Arc length of DE = rθ

                            = 3.54 × (2/3) AB

                            = 2.36 (AB)

Arc length of BC / Arc length of DE = 1.18 (AB) / 2.36 (AB) = 1/2

Hence the ratio of BC to DE is 1/2.

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Answer:

DE: 3/4

Step-by-step explanation:

PlatoGang

No, there isn't a week when they have the exact same amount of money, however at week 7, Diego has $45 and Lin has $44.

The possible values of n are 5 and 6.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Given that, divide 33 from a natural number (n) you get the remainder 5.

Now, 33/n =5

n=33/5

n=5.5

So, the possible values are 5 and 6

Therefore, the possible values of n are 5 and 6.

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The null hypothesis is that the percentage of Americans who start the day with cereal for breakfast is 80%. The alternative hypothesis is that the percentage is less than 80%.

Let p be the true proportion of Americans who start the day with cereal. The sample proportion is 70/100 = 0.7. The standard error is √(p(1-p)/n) = √(0.8(0.2)/100) = 0.04.

The test statistic is (0.7 - 0.8) / 0.04 = -2.5. From the standard normal distribution table, the p-value for a one-tailed test with a test statistic of -2.5 is 0.0062.

Since the p-value (0.0062) is less than the significance level (0.05), we reject the null hypothesis. There is evidence to support the claim that the percentage of Americans who start the day with cereal for breakfast is less than 80%.