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Which graph shows an exponential function that nears a constant value as x approaches positive infinity and has a y-intercept at (0,3)?

Answer:

there is a 20% chance that a vase will be cracked

Step-by-step explanation:

Answer:

2/10 = 1/5 = 0.2 = 20%

Step-by-step explanation:

This situation of the recipe can be represented as y=x+5.5 and it is expected that x is ≥ 0 and y is ≥ 5.5.

It is known the total amount of flour (y) is equivalent to the total amount of whole wheat flour (5.5) added to the total white flour (x). Therefore, the equation is:

y = x + 5.5

The possible values are

x = It is expected x is equalthan 0 or greater to it since the minimum amount of white flour that can be added is 0.

y = It is expected y is equal than 5.5 or greater to it since even if no

white flour is added the minimum total is 5.5.

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Answer: y=x+5.5; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 5.5.

Answer:

area is 200 perimeter is 66

Step-by-step explanation:

The density of an object is 10490kg/m^3.

Density is like rate. It tells you how much of a thing is available for each unit other thing which contains the first thing.

Density = (Total amount available)/(total space which contains that amount)

Given;

The mass of object= 73,430 kilograms

The volume of object= 7m^3

Now

D=mass/volume

D=73430/7

D=10490

Therefore, the density will be 10490kg/m^3.

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Answer:

A. by 3 percent

B. by 3 percent

Answer:

A) 75% increase

B)42.8571% decrease

Step-by-step explanation:

The formula to do this is to subrtact the final value-starting value then divide by the starting value and finaly multiply by hundred

it should look like this

\(\frac{finalvalue-starting value}{starting value} *100\)

Answer:

2nd option

Step-by-step explanation:

Express the sum of the 2 polynomials by removing the parenthesis , so

5\(x^{5}\) - 2x³ + x + 4\(x^{5}\) - 3\(x^{4}\) + 2x³ - 5x ← collect like terms

= 9\(x^{5}\) - 3\(x^{4}\) - 4x

Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3

Answer:

10 feet

Step-by-step explanation:

Use the volume formula, V = lwh, to solve for w

Plug in the values we know:

V = lwh

250 = (5)(w)(5)

250 = 25w

10 = w

So, the width is 10 feet

Answer:

W = 24 L = 6  or W = 6  L= 6

Step-by-step explanation:

24 x 6  = 144  144 ÷ 2 = 72

Answer: the answer is 18 people.

Step-by-step explanation: you first divide the 204 people by 12 for the 1 in 12 chance. then add 1 for the last of 12.

Answer:

Miguel works at the county fair. On Friday he works at the concession stand. On Saturday he works in the balloon dart booth. In the balloon dart booth, players are charged $ 1 for the opportunity to throw 3 darts. Prizes worth $ 4 each are awarded to players who reveal at least 2 balloons. The last of the 12 players popped 2 balloons and 1 in 12 players popped 3 balloons. Complete parts and b below. year. Out of 204 people, there will be winners.

Answer: -4

Step-by-step explanation:reverse the steps

3(x-7)= -9

3(x-7)/3= -9/3

x-7= -3

x= -3+7

x= -4

Answer:

\(P =5x-260\)

Step-by-step explanation:

Given

\(R = 3x^2 + 4x - 60\) --- Revenue

\(C = 3x^2 - x + 200\) --- Cost

Required

The expression for profit (P)

This is calculated as:

\(P =R - C\)

So, we have:

\(P =3x^2 + 4x - 60 - (3x^2 -x+200)\)

Open bracket

\(P =3x^2 + 4x - 60 - 3x^2 +x-200\)

Collect like terms

\(P =3x^2 - 3x^2+ 4x +x- 60-200\)

\(P =5x-260\)

If the profit is the difference between the revenue and the cost, 5x – 260  expression represents the profit. Correct option is 3.

The profit is calculated by subtracting the cost from the revenue. In mathematical terms, the profit (P) can be represented as:

Profit (P) = Revenue - Cost

Among the given options:

1. 3x - 260

2. 3x + 140

3. 5x - 260

4. 5x + 140

We need an expression where the first term represents the revenue and the second term represents the cost, so that when we subtract the cost from the revenue, we get the profit.

Option 3, 5x - 260, fits this pattern:

- Revenue: 5x

- Cost: 260

When we subtract the cost from the revenue:

Profit (P) = Revenue - Cost = 5x - 260

So, option 3, 5x - 260, is the expression that represents the profit.

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Complete question is:

If the profit is the difference between the revenue and the cost, what expression represents the profit?

1. 3x – 260

2. 3x + 140

3. 5x – 260

4. 5x + 140

The soybeans are often planted in fields after corn to increase the nitrogen content of soil.

The soybeans are legumes, which means, they have am efficient ability to fix nitrogen due to their symbiotic relationship with specialist microbes. The specific microbes are capable of fixing nitrogen from the atmosphere.

The crops like corn deprive the soil of nitrogen decreasing its fertility. In such cases, all the legume crops are commonly sowed by the farmers. The process is referred to as crop rotation and serves numerous other benefits as well.

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the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)

7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³

36 = (4/3)r³

27 = r³

r = 3  Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)

(dr/dt) = 7 / (4π(9))

(dr/dt) = 7 / (36π)

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Answer:

x = 7.5

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

if you put 3 in the x it is now 3 but the x it is there with the 3 and do 3 with the 4.5 and then add them to each of them then you get your answer

Answer:

Santos should run approximately 36.145 meters along the shore

Step-by-step explanation:

The given parameters are;

The distance along the shore of the child = 50 meters

The distance from the shore of the child = 60 meters

The rate at which Santos can run = 4 m/s

The rate he can swim = 0.9 m/s

Let 'x' represent the distance he runs along the shore

We have;

The time he spends running on the shore, t₁ = x/4

The time he spends swimming, t₂ = (√(60² + (50 - x)²)/0.9

The total time, T = t₁ + t₂ = x/4 + (√(60² + (50 - x)²)/0.9

To find the maximum, we have;

dT/dx = 0 = d(x/4 + (√(60² + (50 - x)²)/0.9)/dx = 1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0

1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0

Simplifying using a graphing calculator gives;

\(\dfrac{x - 2000}{9} = \sqrt{x^2-100\cdot x+6,100}\)

1519·x² - 151900·x + 3505900 = 0

x = (151900 ± √((-151900)² - 4×1519×3505900))/(2 × 1519)

x ≈ 63.86 m or x ≈ 36.145 m

We note that the distance from a point x = 63.83 meters and 36.145 meters from where Santos spots the girl to the location of the girl are the same

Therefore, Santos should run approximately 36.145 meters along the shore before jumping into to the water in order to save the child

The Venn diagram shows that the number of students who offer accounting is 30.

It should be noted that a Venn diagram is an illustration which uses circles to show the relationship between the objects.

The number of students who offer accounting is:

= 25 + 5

= 30

The number of students who offer Economics is:

= 10 + 5

= 15

The number of students who offer only one subject will be:

= 25 + 10

= 35

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The product of the three integers 5, -2, and -1,which is 10 (Point D) .

A number line is defined as a straight line with evenly spaced integers drawn horizontally.

Integers include natural numbers, 0, and the negative of natural numbers.

You are given three numbers: 5, -2, and -1. We need to find the product of these three numbers.

When multiplying integers, negative multiplies negative and positive multiplies positive. If one number is negative and the other is positive, the result is negative.

(5)(-2)(-1) = (5×-2)(-1)

= (-10) (-1)

= 10

So the product of the three integers 5, -2, and -1 is 10, which is marked as point D on the number line.

Your question is incomplete but most probably your full question was:

Which point on the number line represents the product (5) (negative 2) (negative 1)?

A number line going from negative 11 to positive 11. Point A is negative 10, point B is negative 2, point C is 2, point D is 10.

Point A

Point B

Point C

Point D

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Given that a class has 8 girls and 2 boys. The teacher randomly picks 8 students. We need to find the probability that she will pick all girls.

To find the probability of the event, we need to use the formula for the probability of an event, which is:

P (event) = Number of favorable outcomes / Total number of outcomes Probability of picking all girls out of 10 studentsSince there are 8 girls and 2 boys in the class, the total number of students is 10.

There are only 8 girls, so the only way to pick all girls is if all 8 girls are selected out of the 10 students.

Total number of outcomes = 10 C8 = 45 (number of ways to pick 8 students out of 10) Number of favorable outcomes = 1 (since there is only one way to pick all 8 girls)

Therefore, the probability of the teacher picking all girls is:P (all girls) = 1/45 Thus, the probability of the teacher randomly picking all girls out of 8 girls and 2 boys is 1/45.

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Using translation concepts, we have that:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

In this problem, the vertices of the pre-image are given as follows:

D(-5,2), E(1,5), F(0,-1).

The vertices of the transformed image are given by:

D'(-2, -5), E'(-5,1), F(1,0).

From this, we the rule is given by:

(x,y) -> (-y,x).

Which is equivalent to the rotation rule of a rotation of 270º clockwise.

Hence:

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Answer:

the slope of the line is 5/2

Answer: 12

Step-by-step explanation:

6y - 3z

6(4) - 3(4)

24 - 12

12

The factors of the polynomial are (x + 1)(x - 3).

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

The upper side of the tiles shows the expression (x + 1), and the left side shows the expression (x - 3).

In both cases, you have to consider how many + x or - x is (one +x in one case and three -x in the other case).

If you multiply the factors, you get,

(x + 1)(x - 3) = x² - 3x + x - 3  

(x + 1)(x - 3) = x² - 2x - 3 .

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The probability that he makes at least 8 free throws is 0.9459

What is Probability?

Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability. It is crucial to grasp this branch's most fundamental concepts in order to fully comprehend it, including the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc.

It is given that:

\(\text { Let } p=0.91 \text { and } n=10\)

Expected number of shots \(, $E(x)=n p=(10)(0.91)=9$\)

Now, we use Binomial Distribution \(p(X=x)=n_{c_x} p^x(1-p)^{n-x}\)

with the parameters \(n=10$and $p=0.91$\)

Let X be the number of free throws he made

Therefore,

\($p(X \geq 8)$$$\begin{aligned}&=p(X=8)+p(X=9)+p(X=10) \\&=10 c_8(0.91)^8(1-0.91)^{10-8}+1 c_{c_9}(0.91)^9(1-0.91)^{10-9}+10_{c_{10}}(0.91)^{10}(1-0.91)^{10-10} \\&=0.1714+0.3851+0.3894 \\&=0.9459\end{aligned}$$\)

Hence, The probability that he makes at least 8 free throws is 0.9459

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The manufacturer cannot conclude that the bolts vary by less than the required variance at the 0.1 significance level. The null hypothesis states that the variance of the bolts is equal to or greater than the required variance, while the alternative hypothesis states that the variance is less than the required variance. By conducting a hypothesis test using the sample data, the manufacturer can evaluate the evidence against the null hypothesis.

To determine if the bolts vary by less than the required variance, the manufacturer needs to conduct a hypothesis test. The null hypothesis (H0) states that the variance of the bolts is equal to or greater than the required variance, while the alternative hypothesis (Ha) states that the variance is less than the required variance.

In this case, the required variance is 0.025, as stated in the problem. The sample size is 13, and the sample standard deviation is 0.0613. Since we are dealing with variances, we need to square the standard deviation, resulting in a sample variance of (0.0613)^2 = 0.00376.

To conduct the hypothesis test, the manufacturer can use the chi-square test statistic. The test statistic is calculated as (n - 1) * sample_variance / required_variance, where n is the sample size. In this case, the test statistic is (13 - 1) * 0.00376 / 0.025 ≈ 1.808.

Next, the manufacturer needs to compare the test statistic to the critical value from the chi-square distribution at the desired significance level (a=0.1). With (n - 1) degrees of freedom (12 degrees of freedom in this case), the critical value is approximately 6.907.

Since the test statistic (1.808) is less than the critical value (6.907), the manufacturer fails to reject the null hypothesis. This means that there is not enough evidence to conclude that the bolts vary by less than the required variance at the 0.1 significance level. Therefore, the manufacturer cannot conclude that the machines are producing bolts with the desired consistency.

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The table will be completed below.

x        7     10       13

y        4      7        10

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The equation of the line is given below.

y = x – 3

Then the slope of the line is 1 and the y-intercept of the line is at (0, -3).

Complete the table for the given rule.

At x = 7, then the value of the variable y will be

y = 7 – 3

y = 4

At x = 10, then the value of the variable y will be

y = 10 – 3

y = 7

At x = 13, then the value of the variable y will be

y = 13 – 3

y = 10

Then the table will be

x        7     10       13

y        4      7        10

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Answer:

\(\frac{(x-3)^2}{(3-x)(3+x)}\)

Step-by-step explanation:

1) Use Product Rule: \(x^ax^b=x^{a+b}\).

\(\frac{(x-3)^2}{(3-x)(3+x)}\)

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