Hey again, just need help on the second one, I figured out the first one.

Remember that

For a pair (x,y)

So

here

Domain:-

As the function starts from -5 and tends to infinity .

Range:-

As the function starts from -3 but has an asymptote at y=3 .

Answer:

From inspection of the graph, it appears that the curve approaches y = 3 but never crosses it.  Therefore, there could be an asymptote at y = 3.

Domain: input values (x-values)  →  [-5, ∞)

The x-values of the curve start at x = -5 and tends to infinity.

Range: output values (y-values)  →  [-3, 3)    

The y-values of the curve start at y = -3 and appears to tend towards y = 3

Answer:

65 mm²

Step-by-step explanation:

Total surface area of the prism = area of all parts of the prism's net

✔️Area of rectangle 1 with the following dimensions:

L = 5.2 mm

W = 2.1 mm

Area = 5.2*2.1 = 10.92 mm²

✔️Area of rectangle 1 with the following dimensions:

L = 5.2 mm

W = 4.5 mm

Area = 5.2*4.5 = 23.4 mm²

✔️Area of rectangle 3 with the following dimensions:

L = 5.2 mm

W = 5 mm

Area = 5.2*5 = 26 mm²

✔️Area of the 2 traingles with the following dimensions:

b = 4.5 mm

h = 2.1 mm

Area = ½*bh

= ½*4.5*2.1

= 4.725 mm²

Total surface area = 10.92 + 23.4 + 26 + 4.725 = 65.045 ≈ 65 mm² (nearesth while number)

Answer:

SD = 27.

Step-by-step explanation:

It is given that,

SA = 5x-8

AD = 2x

SD = 4x+7

Note : A should be the mid point of S and D.

SD = SA+AD

Putting all the values,

4x+7=5x-8+2x

taking like terms together

4x-5x-2x=-8-7

-3x=-15

x = 5

The value of x is 5

Put x = 5 in SD = 4x + 7

So,

SD = 4(5) + 7

SD = 27 units

So, the value of SD = 27.

Answer:

0.6 = 60% probability that he or she studies on a weeknight.

Step-by-step explanation:

We solve this question treating these events as Venn probabilities.

I am going to say that:

Probability A: Probability of a student studying on weeknights.

Probability B: Probability of a student studying on weekends.

Forty-two percent of students said they study on weeknights and weekends

This means that \(P(A \cap B) = 0.42\)

47% said they studied on weekends

This means that \(P(B) = 0.47\)

65% said they study either on weeknights or weekends.

This is \(P(A \cup B) = 0.65\)

If you were to pick one student at random, what is the probability that he or she studies on a weeknight?

This is P(A), and the equation used is:

\(P(A \cup B) = P(A) + P(B) - P(A \cap B)\)

Considering the values we have:

\(0.65 = P(A) + 0.47 - 0.42\)

\(0.05 + P(A) = 0.65\)

\(P(A) = 0.6\)

0.6 = 60% probability that he or she studies on a weeknight.

Answer: 60% joaobezerra Is Right, and Confirmed by Buzz (Acceleration Education)

Step-by-step explanation:

We solve this question by treating these events as Venn probabilities. Forty-two percent of students said they study on weeknights and weekends. This means that 47% said they studied on weekends. This means that 65% said they study either on weeknights or weekends. This is If you were to pick one student at random, what is the probability that he or she studies on a weeknight?

0.6 = 60% that he or she studies on a weeknight.

Step-by-step explanation:

70 ÷ 3 = 23  1/3

Answer:

( − ∞ , ∞ ) hope i help

Step-by-step explanation:

First, solve each inequality. I'll solve the first one first.

7 ≥ 2 x − 5

12 ≥ 2 x

6 ≥ x

Therefore, x could be any number less than or equal to 6. In interval notation, this looks like:

( − ∞ , 6 ]

The parenthesis means that the lower end is not a solution, but every number above it is. (In this case, the lower end is infinity, so a parenthesis must be used, since infinity is not a real number and so it cannot be a solution.) The bracket means that the upper end is a solution. In this case, it indicates that not only could  

x

be any number less than 6, but it could also be 6.

Let's try the second example:

3 x − 2 4 > 4

3 x − 2 > 16    3 x > 18 x > 6

Therefore, x could be any number greater than 6, but x couldn't be 6, since that would make the two sides of the inequality equal. In interval notation, this looks like:

( 6 , ∞ )  

The parentheses mean that neither end of this range is included in the solution set. In this case, it indicates that neither 6 nor infinity are solutions, but every number in between 6 and infinity is a solution (that is, every real number greater than 6 is a solution).

Now, the problem used the word "OR", meaning that either of these equations could be true. That means that either  x  is on the interval  ( − ∞ , 6 ] or the interval  ( 6 , ∞ )

. In other words,  x

is either less than or equal to 6, or it is greater than 6. When you combine these two statements, it becomes clear that  

x

could be any real number, since no matter what number  

x

is, it will fall in one of these intervals. The interval "all real numbers" is written like this:

( − ∞ , ∞ )

Answer:

Explanation:

Area of shaded region = Area of rectangle - area of semicircle

Considering the rectangle,

length = 6

width = 6/2 = 3

Area of rectangle = 6 x 3 = 18

The formula for calculating the area of a semicircle is expressed as

area of a semicircle = 1/2 x πr^2

where

r = radius

From the information given,

diameter = 6

radius = diameter/2 = 6/2

r = 3

π = 3.14

Area of semicircle = 1/2 x 3.14 x 3^2 = 14.13

Area of shaded region = 18 - 14.13

Area of shaded region = 3.87 ft^2

\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$ 75\\ P=\textit{original amount deposited}\dotfill & \$500\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &1 \end{cases} \\\\\\ 75 = (500)(\frac{r}{100})(1) \implies 75=5r\implies \cfrac{75}{5}=r\implies \stackrel{ \% }{15}=r\)

The function can be defined as  price = 6x

It will cost $150 to buy 25 reams of paper.

The domain of the function is all non-negative real numbers, since the number of reams bought cannot be negative.

The range of the function is all non-negative real numbers, since the price cannot be negative.

Fir 25 items, price = 6(25) = $150

It will cost $150 to buy 25 reams of paper.

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The result is 16, which matches the information given in the problem. Thus, our solution is correct. Thao originally had 30 coins.

Let's solve this problem step by step.

Let's assume the number of coins Thao originally had is x.

According to the problem, Thao gives two fifths of her coins to her sister. Two fifths of x can be represented as (2/5)x.

After giving away two fifths of her coins, Thao receives 4 coins for her birthday. So, the number of coins she has now is (2/5)x + 4.

The problem states that she now has 16 coins. Therefore, we can set up the following equation:

(2/5)x + 4 = 16

To solve for x, we need to isolate x on one side of the equation. We can start by subtracting 4 from both sides:

(2/5)x = 16 - 4

(2/5)x = 12

To get rid of the fraction, we can multiply both sides of the equation by 5:

5 * (2/5)x = 5 * 12

2x = 60

Next, divide both sides of the equation by 2 to solve for x:

(2x)/2 = 60/2

x = 30

Therefore, Thao originally had 30 coins.

To verify our answer, we can substitute x = 30 back into the equation (2/5)x + 4 and see if it equals 16:

(2/5) * 30 + 4 = 12 + 4 = 16

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Answer:

The Answer is B

________________________

If this helped mark me as brainliest!

Hope you have a great day!

Answer:

We can first determine it is not A or C, because these flatly do not equal the expression above.

I believe is it D, because of the commutative property.

The associative property of addition states that you can group the addends in different ways without changing the outcome. While the commutative property of addition states that you can reorder the addends without changing the outcome.

In this case, we are rearranging the addends, not groups of them.

Step-by-step explanation:

Answer:

x<-12 or x>16

Step-by-step explanation:

Answer:

|x - 2| + 3 > 17

|x - 2| > 14

x - 2 < -14 or x - 2 > 14

x < -12 or x > 16

Answer:

D

Step-by-step explanation:

since the x- coordinates of both points are 7 then the points lie on a vertical line.

the distance is then the absolute value of the difference of the y- coordinates, that is

distance = | - 22 - 12 | = | - 34 | = | 34 | = 34 units

or

distance = | 12 - (- 22) | = | 12 + 22 | = | 34 | = 34 units

Answer:

the vertical distance between (7, –22) to (7, 12) is 10 units

The 99% confidence interval for the true population mean backpack weight is approximately (68.15, 71.85) ounces, rounded to two decimal places.

To construct a 99% confidence interval for the true population mean backpack weight, we can use the formula:Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √Sample Size).

Since the population standard deviation is known, we can use the z-distribution and find the critical value corresponding to a 99% confidence level. The critical value for a 99% confidence level is approximately 2.576.

Given that the sample mean weight is 70 ounces, the population standard deviation is 6.4 ounces, and the sample size is 48, we can calculate the confidence interval:

Confidence Interval = 70 ± (2.576 * 6.4 / √48).

Simplifying the expression, we get:

Confidence Interval ≈ 70 ± 1.855.

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The total distance covered is 15000 m. The total time taken is 5220 seconds and the speed is 2.87 m/s.

We know that speed has to do with the ratio of the distance that has been covered to the time taken. The speed is a scalar quantity and as such we do not consider the direction hence we would not consider that going back in the opposite direction. The total distance can be obtained algebraically.

The total distance that the student travelled can be obtained from;

5000 m + 5000 m + 5000 m

= 15000 m

The total time taken in seconds = 1800 seconds + 1800 seconds + 1620 seconds

= 5220 second

Speed = Distance/ Time

= 15000 m/5220 second

= 2.87 m/s

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it would be 15 in. diagonal

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = x² + 4x is an up-opening parabola with x-intercepts 0 and -4.

y ≥ 0 when x≤-4 or x≥0

range: (-∞,-4)∪[0,+∞)

Answer:

0.7 is 7/10 as a decimal

okkkk

The ratio shows how many times one value is contained in another value.

The number of top dogs is 192.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

The ratio of top dogs to fat cats was 24 to 19.

if they were 152 fat cats.

This means,

Number of top dogs = 24x

Number of fat cats = 19x

Now,

Number of fat cats = 152

This means,

152 = 19x

x = 8

Now,

Number of top dogs = 24x

= 24x

= 24 x 8

= 192

Thus,

The number of top dogs is 192.

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Answer:

10

Step-by-step explanation:

Answer:

a)   \(S=50\)

    \(P(X)=0.02\)

b)  \(P(W,M,C)=8*10^-^6\)

c)  \(P(W_2_3)=1.18*10^-^3\)

Step-by-step explanation:

From the question we are told that

Sample space S=50

Sample size n=30

a)Generally the sample space S is

\(S=50\)

The probability measure is given as

\(P(X)=\frac{1}{50}\)

\(P(X)=0.02\)

b)

Generally the probability that  the class hangs Wisconsin’s flag on Monday, Michigan’s flag on Tuesday, and California’s flag on Wednesday is mathematically given as

Probability of each one being hanged is

\(P(X)=\frac{1}{50}\)

Therefore

\(P(W,M,C)=\frac{1}{50} *\frac{1}{50}* \frac{1}{50}\)

\(P(W,M,C)=\frac{1}{125000}\)

\(P(W,M,C)=8*10^-^6\)

c)Generally the probability that Wisconsin’s flag will be hung at least two of the three days is mathematically given as

Probability of two days hung +Probability of three days hung

Therefore

\(P(W_2_3)=^3C_2 (1/50) * (1/50) * (49/50) +^3C_3 (1/50) * (1/50) *(1/50)\)

\(P(W_2_3)=148 / 125000\)

\(P(W_2_3)=1.18*10^-^3\)

Answer:

Step-by-step explanation:

Set up an equation:

7x + 10x + 13x = 100000 and solve for x:

30x = 100000 so

x = 3333.33

Anna gets 7(3333.33) = 23333.31

Louise gets 10(3333.33) = 33333.33

Lacey gets 13(3333.33) = 43333.29

Answer:

$20.00

Step-by-step explanation:

Answer:

20.00 trust me

Step-by-step explanation:

The equation y = \(-0.024x^2\) + 0.0791x + 4.873 represents a quadratic function with a downward-opening parabol

The given expression is a quadratic equation in the form y = -0.024x^2 + 0.0791x + 4.873. Let's analyze its components and characteristics.

The equation represents a quadratic function, where x is the independent variable and y is the dependent variable. The coefficients in front of each term determine the shape, position, and direction of the graph.

The term with the highest power of x is -0.024x^2, which indicates a downward-opening parabola. The coefficient -0.024 determines the steepness of the curve. A negative coefficient means the parabola is concave down.

The term 0.0791x is the linear term and determines the slope of the line. A positive coefficient indicates an upward or positive slope. It affects the overall direction and position of the graph.

The constant term 4.873 is the y-intercept. It indicates the point at which the graph intersects the y-axis when x = 0.

To analyze the graph of the quadratic equation further, we can calculate the vertex. The x-coordinate of the vertex can be found using the formula x = -b/(2a), where a and b are the coefficients of x^2 and x, respectively. In this case, a = -0.024 and b = 0.0791. Substituting these values into the formula, we have x = -0.0791 / (2 * -0.024) ≈ 1.643. By substituting this x-coordinate into the equation, we can find the y-coordinate of the vertex.

Overall, the equation y =\(-0.024x^2 + 0.0791x\) + 4.873 represents a quadratic function with a downward-opening parabola. The specific properties, such as the vertex and other key points, can be determined by further calculations and analysis of the equation.

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The formula for continuously compounded interest is

So, in this case, we have

Therefore, it will take approximately 40 years for the account to reach $1,000.