a. The exhibits for insects and spiders are across the hall from the fossils exhibit. [Invert the sentence.]
b. Sayuri becomes a successful geisha after growing up desperately poor in Japan. [Move the adverb clause to the beginning of the sentence.]
c. It is interesting to consider what caused Mount St. Helens to erupt. Researchers believe that a series of earthquakes in the area was a contributing factor. [Change the first sentence to a question.]
d. Ice cream typically contains 10 percent milk fat. Premium ice cream may contain up to 16 percent milk fat and has considerably less air in the product. [Combine the two sentences as a compound sentence.]
e. The economy may recover more quickly than expected if home values climb. [Move the adverb clause to the beginning of the sentence.]
1. The Dust Bowl farmers, looking wearily into the cameras of US government
photographers, represented the harshest effects of the Great Depression. [Move the participial phrase to the beginning of the sentence.]
2. The Trans Alaska Pipeline was completed in 1977. It has moved more than fifteen billion barrels of oil since 1977. [Combine the two sentences into a complex sentence.]
3. Mr. Guo habitually dresses in loose clothing and canvas shoes for his wushu workout. [Move the adverb to the beginning of the sentence.]
4. A number of obstacles are strategically placed throughout a firefighter training maze. [Invert the sentence.]
5. Ian McKellen is a British actor who made his debut in 1961 and was knighted in 1991, and he played Gandalf in the movie trilogy The Lord of the Rings. [Make a simple sentence. See also 64a.]

Answer: 15π m³

Step-by-step explanation:

Volume of a cone = 1/3πr²h

where,

r = radius = 3 meters

h = height = 5 meters

Volume = 1/3πr²h

Volume = 1/3 × π × 3² × 5

Volume = 1/3 × π × 9 × 5

Volume = 1/3 × π × 45

Volume = 45π/3

Volume = 15π m³

Using it's concept, it is found that the experimental probability is closest to the theoretical probability​ for number 1.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

The theoretical probability is calculated before any experiments, while the experimental probability is calculated after experiments.

Considering that the sections are equal-sized, the expected frequency for each section is given by:

Ef = 450/8 = 56.25.

The closest frequency to 56.25 is of 58, associated with number 1, which is the one that has the closest probabilities.

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The designer will sell the maximum number of shirts when the price is $9.

To find the price at which the designer will sell the maximum number of shirts, we need to determine the value of x that corresponds to the maximum value of the given formula S = -4x^2 + 72x - 68.

To find the maximum value, we can use the concept of the vertex of a parabola. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a, b, and c are the coefficients of the quadratic equation in the form ax^2 + bx + c.

In this case, a = -4 and b = 72. Plugging these values into the formula, we have:

x = -72 / (2*(-4))

x = -72 / (-8)

x = 9

Therefore, the designer will sell the maximum number of shirts when the price is $9.

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Answer:

es lo que es

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

G,C,P

C,P,G

P,G,C

G,P,C

P,C,G

C,G,P

Answer:

Step-by-step explanation:

Height of the first balloon:

Height of the second balloon:

Correct option is A.

Answer:

the answer is A

Step-by-step explanation:

you said that the first balloon was falling at a rate of 40 feet per minute.that would be 3,000-40m. then you said the second balloon was rising at a rate of 50 feet per minute. that would be 1,200+50m. ther is your answer

Answer:

I prefer A is the option that suits this question

Answer:

a.)

Step-by-step explanation:

because 3 to the left is a negative and 2 units up means positive

The given statement is proven to be true for all natural numbers using the Principle of Mathematical Induction. Two conditions must be satisfied: (a) the statement is true for the natural number 1, and (b) if the statement is true for a natural number k, it is also true for the next natural number, k + 1.

The Principle of Mathematical Induction is a method used to prove statements that involve natural numbers. It consists of two steps: the base step and the inductive step.

In the base step, we first verify if the statement is true for the smallest natural number, which in this case is 1. Plugging n = 1 into the given equation, we have 11 + 10 + 9 + ... + (12 - 1) = 1/2(1)(23 - 1). Simplifying both sides, we see that the equation holds true.

In the inductive step, we assume that the statement is true for some arbitrary natural number k. This assumption is called the induction hypothesis. Next, we need to prove that if the statement is true for k, it is also true for the next natural number, k + 1. By substituting n = k + 1 into the equation, we can manipulate the left side of the equation using the induction hypothesis and algebraic properties to obtain the right side of the equation. This establishes that if the statement holds for k, it also holds for k + 1.

Since the base step and the inductive step are both satisfied, we can conclude that the given statement is true for all natural numbers.

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Answer:

D:  x = -4

Step-by-step explanation:

Given equation:

(2x - 10)(3x + 12) = 0

Therefore:

⇒ 2x - 10 = 0

⇒ 2x = 10

⇒ x = 5

And:

⇒ 3x + 12 = 0

⇒ 3x = -12

⇒ x = -4

So the possible solutions of the equation are x = 5 or x = -4

Answer:

D: r = -4

Explanation:

\(\rightarrow \sf (2x-10)(3x+12)=0\)

set to zero

\(\rightarrow \sf 2x-10=0, \:3x+12=0\)

change sides

\(\rightarrow \sf 2x=10, \:3x=-12\)

simplify

\(\sf \rightarrow x=5,\:x=-4\)

Answer:

not positive but i would say 48

Step-by-step explanation:

Nina used 75% of the 56-inch ribbon to make decorations, utilizing 42 inches.

To find the percentage of the ribbon that Nina used to make the decorations, we can use the following formula:

Percentage = (Amount used / Total amount) * 100

Given:

Total amount of ribbon = 56 inches

Amount used for decorations = 42 inches

Plugging in the values into the formula:

Percentage = (42 inches / 56 inches) * 100

Simplifying the expression:

Percentage = 0.75 * 100

Percentage = 75%

Therefore, Nina used 75% of the ribbon to make the decorations.

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Answer:

c or d

Step-by-step explanation:

\((2+i)^3=(i+2)^3\) ↝ Properties

\((x+y)^3=x^3+3x^2y+3xy^2+y^3\\(i+2)^3=i^3+3(i)^2(2)+3(i)(2)^2+2^3\\(i+2)^3=i^3+6i^2+12i+8\)

Proceed with define of complex number.

\(i=\sqrt{-1}\\i^2=-1\\i^3=-i\\i^4=1\)

\(-i-6+12i+8\\2+11i\)

Therefore, the answer is 2 + 11i

The standard equation of the circle is x² + y² = 6²

A circle is a set of all points which are equally spaced from a fixed point in a plane. The fixed point is called the center of the circle. The distance between the center and any point on the circumference is called the radius of the circle.

The standard equation of a circle is given by:

(x-h)² + (y-k)² = r²

The equation given is ;

x² + y² - 36 = 0

The equation can be rewritten as;

(x - 0)² + (y - 0)² = 6²

x² + y² = 6²

NB: The radius is 6

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Answer:

Below

Step-by-step explanation:

formula: ab^x

a= starting amount b=exponential increase   x=years

r= rate

a= 2000

r= 5%= 0.05

b=1+r= 1+0.05= 1.05

3 years:

2000(1.05)^3= 2315.25

18 years:

2000(1.05)^18= 4813.23846738  =  4813.24

How many years will it take for the account to contain ​$2,500​?

2500=2000(1.05)^x

2500-2000= 1.05^x

4.57353557= x

4.6= x

How many years will it take for the account to contain ​$3,000​?

3000= 2000(1.05)^x

3000-2000=1.05^x

1000=1.05^x

x= 8.31038622

x= 8.3

Answer:

p(8p + 7)

Step-by-step explanation:

8p² + 7p

p(8p + 7)

The mean science test score is lower for students taught in traditional lab sessions than it is for students taught using interactive simulation software at the α = 0.05 level of significance.

we will conduct a two-sample t-test with equal variances.

The null hypothesis is that there is no difference in the mean test scores between the two groups:

H₀: μ₁ = μ₂

The alternative hypothesis is that the mean test score for traditional lab sessions is lower than that of interactive simulation software:

Hₐ: μ₁ < μ₂

Here, n₁ = 11, n₂ = 15, x₁= 77.4, x₂ = 84.8, s₁ = 3.5, s₂ = 5.1, and the significance level α = 0.05.

First, we need to calculate the pooled sample standard deviation:

sp = \(\sqrt\)(((n₁ - 1)s₁² + (n₂ - 1)s₂²)/(n₁ + n₂ - 2))

sp = \(\sqrt\)(((10)(3.5)² + (14)(5.1)²)/(25))

sp = 4.446

Next, we calculate the test statistic t:

t = (x₁ - x₂)/(sp * \(\sqrt\)(1/n₁ + 1/n₂))

t = (77.4 - 84.8)/(4.446 * \(\sqrt(1/11 + 1/15)\))

t = -2.636

The degrees of freedom for the test is (n₁ + n₂ - 2) = 24.

Using a t-table with 24 degrees of freedom and a one-tailed test at the α = 0.05 level of significance, we find that the critical value is -1.711.

Since the calculated t-value (-2.636) is less than the critical value (-1.711), we reject the null hypothesis.

Therefore, we can conclude that the results support the claim that the mean science test score is lower for students taught in traditional lab sessions than it is for students taught using interactive simulation software at the α = 0.05 level of significance.

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Answer:

1. Reflection across the y-axis

2. ΔXYZ = ΔABC

3.

∠A =∠X

∠B =∠Y

∠C =∠Z

AB = XY

BC = YZ

AC = XZ

1. Reflection across the y-axis

2. ∆XYZ ~= AABC

3.

angleA=angleX

angleB=angleY

angleC=angleZ

ZAB = XY

ZAB = XYBC = YZ

ZAB = XYBC = YZAC = XZ

Answer:

the value of term under the variable n is n-5

Step-by-step explanation:

The positive and value of term difference is 5 every time.

Answer:

$109.14

Step-by-step explanation:

This is correct!

Answer:

D/ $109.14

Step-by-step explanation:

i did the quiz

Answer:

3054  cm³

Step-by-step explanation:

recall that the volume of a sphere is given by

V = (4/3)πr³

where

r = radius

π = 3.14

We are given the diameter = 18 cm,

hence the radius = 18/2 = 9 cm

substituting this into the above equation,

V = (4/3)πr³

= (4/3)(3.14)(9³)

= 3053.63 cm³

= 3054  cm³ (to nearest cubic unit)

The solution to the initial-value problem dy/dx - 4xy = sin(x^2), y(0) = 3 can be expressed as y = e^(2x^2)∫sin(x^2)e^(-2x^2) dx + 3e^(2x^2).

We begin by finding the integrating factor for the differential equation dy/dx - 4xy = sin(x^2). The integrating factor is given by e^(∫-4x dx) = e^(-2x^2). Multiplying both sides of the differential equation by this integrating factor, we get:

e^(-2x^2)dy/dx - 4xye^(-2x^2) = sin(x^2)e^(-2x^2)

Now we can recognize the left-hand side as the product rule of (ye^(-2x^2))' = e^(-2x^2)dy/dx - 4xye^(-2x^2). Using this fact, we can rewrite the differential equation as:

(ye^(-2x^2))' = sin(x^2)e^(-2x^2)

Integrating both sides with respect to x, we get:

ye^(-2x^2) = ∫sin(x^2)e^(-2x^2) dx + C

where C is the constant of integration. To solve for y, we multiply both sides by e^(2x^2) to get:

y = e^(2x^2)∫sin(x^2)e^(-2x^2) dx + Ce^(2x^2)

Therefore, the solution to the initial-value problem dy/dx - 4xy = sin(x^2), y(0) = 3 can be expressed as:

y = e^(2x^2)∫sin(x^2)e^(-2x^2) dx + 3e^(2x^2)

where the integral on the right-hand side can be evaluated using techniques such as integration by parts or substitution.

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The value of function  g(z+q) = 4z + 4q - 3.

The given function is,

g(z) = −4z−3.

Since we know that,

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

Now we can see that,

The given function is a function of z.

Now replace x with z+q to find the value of g(z+q)

Therefore,

g(z+q) = 4(z+q) - 3

          = 4z + 4q - 3

Hence,
g(z+q) = 4z + 4q - 3.

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The points that lie in the feasible region of this maximization problem are (-1,1) and (1,1).

The given constraints are: 14X + 4Y ≤ 28 and X − Y ≤ 2

In order to determine which of the points belong to the feasible region of this maximization problem, we need to check each point one by one. Let's evaluate each point and check which of the points lie in the feasible region. The points are given as below:x = −1, y = 2.5

The two constraints are:14X + 4Y ≤ 28 and X − Y ≤ 2

For the point (x,y) = (-1,2.5), we have:

14(-1) + 4(2.5) = 7 > 0;

Therefore, the point (-1,2.5) satisfies the first constraint.

Next, we need to check whether the point (-1,2.5) satisfies the second constraint:X − Y = -1 - 2.5 = -3.5 < 2

Since the second constraint is not satisfied, (-1,2.5) is not in the feasible region.

x = −1, y = 1

For the point (x,y) = (-1,1), we have:14(-1) + 4(1) = 10 > 0;

Therefore, the point (-1,1) satisfies the first constraint

.Next, we need to check whether the point (-1,1) satisfies the second constraint:X − Y = -1 - 1 = -2 < 2

Since the second constraint is satisfied, (-1,1) is in the feasible region.

x = 4, y = 2For the point (x,y) = (4,2), we have:14(4) + 4(2) = 64 > 0;

Therefore, the point (4,2) satisfies the first constraint.Next, we need to check whether the point (4,2) satisfies the second constraint:X − Y = 4 - 2 = 2 < 2

Since the second constraint is not satisfied, (4,2) is not in the feasible region.

x = 2, y = 1

For the point (x,y) = (2,1), we have:

14(2) + 4(1) = 32 > 0;

Therefore, the point (2,1) satisfies the first constraint.Next, we need to check whether the point (2,1) satisfies the second constraint:X − Y = 2 - 1 = 1 < 2

Since the second constraint is satisfied, (2,1) is in the feasible region.

x = 1, y = 1

For the point (x,y) = (1,1), we have:

14(1) + 4(1) = 18 > 0;

Therefore, the point (1,1) satisfies the first constraint.

Next, we need to check whether the point (1,1) satisfies the second constraint:X − Y = 1 - 1 = 0 < 2

Since the second constraint is satisfied, (1,1) is in the feasible region.

Hence, the two points that belong to the feasible region are (-1,1) and (1,1).

Therefore, the correct answer is: The points that lie in the feasible region of this maximization problem are (-1,1) and (1,1).

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Answer:

Step-by-step explanation:

As per diagram, the distance AB + BC is same as AD + DC

Since the distance is same for both, the friend will win due to running at greater speed

Answer:

2x + 5

Step-by-step explanation:

Let x represent the number

Twice the number will be represented by 2x, since that multiplies the number by 2

Then, add 5 to this:

2x + 5

So, 2x + 5 is the expression that will represent this situation

There are 18 teams in the lacrosse league in the third year. It's important to note that percentages are a way of representing fractions out of 100.

In the first year, the lacrosse league has 20 teams.

In the second year, the number of teams increases by 20%, which is 20/100 x 20 = 4. Therefore, the number of teams in the second year is 20 + 4 = 24.

In the third year, the number of teams decreases by 25% from the second year, which is 25/100 x 24 = 6. Hence, the number of teams in the third year is 24 - 6 = 18.

Therefore, there are 18 teams in the lacrosse league in the third year.

It's important to note that percentages are a way of representing fractions out of 100. In the second year, the 20% increase can also be written as a multiplication factor of 1.2 (1 + 20/100). Similarly, the 25% decrease in the third year can be written as a multiplication factor of 0.75 (1 - 25/100). Using these multiplication factors can make it easier to calculate the number of teams in each year.

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The space would cost at, $833.34 per month.

:: Total area = 1000 square feet

:: Cost per feet per year = $10

Therefore,

Total cost per year would be, equal to the product of total area and cost per unit area per year.

That is,

Total cost per year = 1000 x $10

That is, $10,000.

Now, we know, there are 12 months in an year.

So, cost per month is, ( total cost per year / 12 )

That is, therefore,

Cost per month = ($10,000 / 12)

Which equals to, $833.34 per month. (rounded off)

So,

The space cost at, $833.34 per month.

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The space cost you $833.33. per MONTH

To calculate the monthly cost, we first need to determine the annual cost of the space.

Given that the cost is $10 per square foot per year, we know, there are 12 months in an year and the space is 1,000 square feet, the annual cost of the space would be:

Annual cost = the space  * cost

Annual cost = 1,000 square feet * $10/square foot = $10,000

To convert this to monthly cost, we divide the annual cost by 12 (the number of months in a year):

Monthly cost = $10,000 / 12 = $833.33

Therefore, the monthly cost of the 1,000 square feet of space in the new building would be $833.33.

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