Sylvia bought 4 bananas for 50 cents each and 1 apple for 80 cents. Write a numerical expression to represent this situation and then find the total cost in dollars.

If two sides and the included angle of one triangle are congruentto the corresponding parts of another triangle, the triangles are congruent.

Since:

Then, in order to the triangles be congruent:

Answer:

A

35:50 and 21:30

multiply or divide both sides by the same number

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The equivalent ratios are :

and

they can be further simplified into 7 : 10

Since x represents the number of correct answers, the minimum number of correct answers Samantha obtained is 18.

Let's assume that Samantha answered x questions correctly. Since there are 25 questions in total, she answered (22 - x) questions incorrectly.

For each correct answer, Samantha earns 3 points, so the total points earned for the correct answers would be 3x.
For each incorrect answer, she loses 1 point, so the total points deducted for the incorrect answers would be (22 - x).

According to the given information, Samantha's total score was above 46. Therefore, we can set up the following inequality:

3x - (22 - x) > 46

Simplifying the inequality:

3x - 22 + x > 46
4x - 22 > 46
4x > 68
x > 17

Since x represents the number of correct answers, the minimum number of correct answers Samantha obtained is 18.

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Answer:

68%

Step-by-step explanation:

In normal distribution, the empirical rule (aka 68-95-99.7 rule) describes the approximate proportion of data that falls within certain distances from the mean of a normal distribution. Specifically, the rule states that:

Answer: y=12

Step-by-step explanation:

Distribute

Add 10 to both sides

Simplify.

Answer: y = 12

Step-by-step explanation:

2 ( \(y\\\) - 5 ) = 14

2\(y\\\) - 2 · 5 = 14

2\(y\\\) - 10 = 14

(2\(y\\\) - 10) + 10 = 14 + 10

2\(y\\\) = 24

\(\frac{2y}{2} = \frac{24}{2}\)

The probability that y takes a value less than 1/3 is approximately 0.11.

We are given that the cumulative distribution function (cdf) of the random variable y is defined as:

F(x) = { 0, x ≤ 0

\(x^2,\) 0 < x < 1

1, x ≥ 1

We want to find the probability that the random variable y takes a value less than 1/3, i.e., P(y < 1/3).

Since F(x) is the cdf of y, we have:

P(y < 1/3) = P(y ≤ 1/3) = F(1/3)

To find F(1/3), we need to consider two cases:

Case 1: 0 ≤ 1/3 < 1

In this case, we have:

F(1/3) = (1/3\()^2\) = 1/9

Case 2: 1/3 ≥ 1

In this case, we have:

F(1/3) = 1

Therefore, the probability that y takes a value less than 1/3 is:

P(y < 1/3) = F(1/3) = 1/9

Rounding off to the second decimal place, we get:

P(y < 1/3) ≈ 0.11

Therefore, the probability that y takes a value less than 1/3 is approximately 0.11.

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Full Question

Let y be a random variable with cdf F(x) = { 0, x 0 Find P(x < 1/3) (round off to second decimal place).

Answer:

The answer is (e)

Step-by-step explanation:

You know that the total time for one practice is (10+15+10+20+x). You can simplify that by adding like terms to get (55+x). You need that amount multiplied by three because he has 3 practices a week. so therefore you get 3(55+x). You distribute that three to both terms to get the simplest form which is 165 + 3x.

Answer:

y = 5x + 3

Step-by-step explanation:

You could also plot a line on a graph with this equation to help you even more.

The statement is True, Monte Carlo simulation generate many outcomes that are organized into a frequency distribution.

Monte Carlo simulation

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The expression is equivalent to \(-7r^{2} + 12 r -8\).

Here,

The expression is,

\((10 + 7r -r^{2} ) + (-6r^{2} -18+5r)\)

We have to simplify this expression.

What is Quadratic equation?

Quadratics can be defined as a polynomial equation of a second degree.

Now,

The expression is,

\((10 + 7r -r^{2} ) + (-6r^{2} -18+5r)\)

By simplify, we get;

\((10 + 7r -r^{2} ) + (-6r^{2} -18+5r)\)

\(10 + 7r -r^{2} -6r^{2} -18+5r\)

\(10 -18 + 7r +5r -r^{2} -6r^{2}\)

\(-7r^{2} + 12 r -8\)

Hence, The expression is equivalent to \(-7r^{2} + 12 r -8\).

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In the given graph, the independent variables represent those factors that are manipulated by the researcher. On the other hand, the dependent variable represents the effect of the independent variable(s).Let's first understand the given graph - it shows data from the light-colored soil enclosure.

There is one dependent variable and more than one independent variable on the graph. Based on this information, it can be concluded that the graph represents the result of an experiment where multiple factors were tested to observe their impact on the dependent variable. Now, coming to the question, we need to identify the independent variables from the graph. Unfortunately, the graph is not available here to analyze and provide an accurate answer. Suppose the experiment aimed to study the effect of different factors on the growth of plants in light-colored soil. Some independent variables that could be manipulated by the researcher are:

Amount of water provided to the plants Type of fertilizer used for the soil Temperature of the enclosure Humidity level inside the enclosure Intensity and duration of light exposure. Amount of water provided to the plants, type of fertilizer used for the soil, temperature of the enclosure, humidity level inside the enclosure, intensity, and duration of light exposure.

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Answer:

Step-by-step explanation:

See image

Answer:

Step-by-step explanation:

DE=7 inches

Hope this helps! ❤️

Answer: 8

Step-by-step explanation:

From the question, we are informed that a 2-mile walking trail has a distance marker every 1\4 mile. Hl

The number of markers that are along the trail will be calculated as:

= Length of walking trail / interval of distance marker

= 2 ÷ 1/4

= 2 × 4

= 8

There are 8 markers along the trail.

Making connections between mathematics content and learners' everyday lives can increase engagement and motivation to learn. Teachers can relate concepts to practical situations and students' interests to help them understand the relevance of the content.

To specify how the mathematics content of a lesson is related to the learner's everyday life, it is important to consider how the concepts and skills being taught in the lesson can be applied to real-world situations. For example, if the lesson is on algebraic expressions, the teacher can relate this to practical situations such as calculating the cost of items at a store or determining how much money can be saved using coupons or discounts.

In geometry lessons, teachers can relate the concepts being taught to everyday objects and structures, such as buildings, bridges, and other architectural designs. This helps students understand the relevance of the content to their daily lives and how they can use these skills to solve real-world problems.

Additionally, teachers can use examples from the learners' own experiences and interests to make connections with the mathematical content being taught. For instance, if a student is interested in sports, the teacher can relate concepts such as statistics, probability, and geometry to the student's favorite sports team or game.

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Answer:

Option D.

Step-by-step explanation:

So first you got to convert all the options into mi/hr then pick the highest one:

Steps:

456.5 mi/hr (dont do anything to this because it is already in mi/hr)

---------------------------------------------------------------------------------------------

0.3 mi/s (this one you got to multipy 0.3 by 3600 to find the mi/hr. the reason being is that there are 30 seconds in a minute and 60 minutes in an hour 60 x 60 = 3600)

---------------------------------------------------------------------------------------------

28 mi/hr (dont do anything to this because it is already in mi/hr)

---------------------------------------------------------------------------------------------

28 mi/min (this one you got to multiply 28 by 60 to find the mi/hr. The reason bing is that there are 60 minutes in an hour)

---------------------------------------------------------------------------------------------

Conversons:

456.5 mi/hr

---------------------------------------------------------------------------------------------

1080 mi/hr

---------------------------------------------------------------------------------------------

28 mi/hr

---------------------------------------------------------------------------------------------

1680 mi/hr

---------------------------------------------------------------------------------------------

Answer:

1680 mi/hr = 28 mi/min

So the answer is option D.

The maximum height is 22.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0.

Given:

h (t) = -16t² +32t+6.

Now,

h(t)= -16( t² -2t) +6

h(t) =  -16( t² -2t +1²) +6 +16

h(t) = -16 (t-1) ² + 22

Now, comparing to h(t)= a( t-j)² + K

Hence, the maximum height is 22.

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The amount accumulated after investing a principal P for t years at an interest rate compounded annually is  $46,057.58.

Compound interest is the interest you earn on interest. Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Therefore, let's find the amount accumulated after investing a principal P for t years at an interest rate compounded annually.

\(A = p(1 + \frac{r}{n} )^{nt}\)

where

p = 15,500

r = 9.5%

t = 12

n = 1

\(A = 15500(1 + \frac{0.095}{1} )^{1(12)}\)

A = 15,500.00(1 + 0.095)¹²

A = $46,057.58

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$46,057.58, answer for acellus

Answer:

Step-by-step explanation:

Using the binomial distribution, the expected number of distinct toy types that you will have after you have collected t toys is:

E(X) = t/n.

The binomial probability distribution gives the probability of exactly x successes on n repeated independent trials, with p probability of a success on each trial.

The expected value of the binomial distribution is calculated as follows:

E(X) = np.

In the context of this problem, the symbolic values of the parameters are given as follows:

Hence the expected number of distinct toy types that you will have after you have collected t toys is calculated as follows:

E(X) = t x 1/n = t/n.

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Answer:

There are five ways to find if two triangles are congruent: SSS, SAS, ASA, AAS and HL.

Answer: yes

Step-by-step explanation:

Answer: I would have to go with e because it is the closest because it is -2 and if it were to get to zero it wouldn't take that long.

Step-by-step explanation:

Step-by-step explanation:

18x 9 1/4 = 166.5 ÷ 18 = 9.25

A.The level at which the solution oscillates in the long term is approximately 7.29 oz/gal.

The amplitude of the oscillation is approximately 0.29 oz/gal.

B. To find the constant level and amplitude of the oscillation, we need to analyze the salt concentration in the tank.

Let's denote the salt concentration in the tank at time t as C(t) oz/gal.

Initially, we have 120 gallons of water and 45 oz of salt in the tank, so the initial salt concentration is given by C(0) = 45/120 = 0.375 oz/gal.

The water flowing into the tank at a rate of 5 gal/min has a varying salt concentration of 1/9(1 + 1/5sin(t)) oz/gal.

The mixture in the tank flows out at the same rate, ensuring a constant volume.

To determine the long-term behavior, we consider the balance between the inflow and outflow of salt.

Since the inflow and outflow rates are the same, the average concentration in the tank remains constant over time.

We integrate the varying salt concentration over a complete cycle to find the average concentration.

Using the given function, we integrate from 0 to 2π (one complete cycle):

(1/2π)∫[0 to 2π] (1/9)(1 + 1/5sin(t)) dt

Evaluating this integral yields an average concentration of approximately 0.625 oz/gal.

Therefore, the constant level about which the oscillation occurs (the average concentration) is approximately 0.625 oz/gal, which can be rounded to 14.03 oz/gal.

Since the amplitude of the oscillation is the maximum deviation from the constant level

It is given by the difference between the maximum and minimum values of the oscillating function.

However, since the problem does not provide specific information about the range of the oscillation,

We cannot determine the amplitude in this context.

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If Sean, who is 6 feet tall, casts an 8-foot shadow, the approximate angle of elevation of the sun can be calculated using trigonometry. The answer is approximately 37 degrees.

Explanation:

The angle of elevation is the angle between the horizontal and the line of sight to the sun. In this problem, we can use the height of Sean (6 feet) and the length of his shadow (8 feet) to determine the angle of elevation of the sun. We can use the tangent function, which is defined as the ratio of the opposite side (height of Sean) to the adjacent side (length of his shadow).

tan(angle of elevation) = opposite/adjacent

tan(angle of elevation) = 6/8

angle of elevation = tan^-1(6/8)

Using a calculator, we can determine that the angle of elevation is approximately 37 degrees. Therefore, the correct answer is A, 37 degrees.

In conclusion, the approximate angle of elevation of the sun when Sean, who is 6 feet tall, casts an 8-foot shadow, can be calculated using the tangent function. This problem demonstrates how trigonometry can be used to solve real-world problems.

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Answers:

No sé lo que eso significa, pero ¿puedes marcarme mentalmente?

Step-by-step explanation:

The slope of the line that passes through the points (-5, 6) and (-9, -6) is 3

What is slope ?

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

Let the given points as shown:

(x1,y1)= (-5, 6) and (x2,y2)= (-9, -6)

Slope = m = (y2-y1) /( x2-x1)

                 = (-6-6) /(-9-(-5))

                 = -12/-4

                 = 3

So, the slope of the line that passes through the points (-5, 6) and (-9, -6) is 3

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Answer:g(-4)=8

Step-by-step explanation:

Answer:

Step-by-step explanation: