Which is a true statement comparing the graphs of x^2/3^2 - y^2/4^2= 1 and y^2/3^2 - x^2/4^2 = 1?

The foci of both graphs are the same points.
The lengths of both transverse axes are the same.
The directrices of = 1 are horizontal while the directrices of = 1 are vertical.
The vertices of = 1 are on the y-axis while the vertices of = 1 are on the x-axis.

To find the dimensions of the rectangular swimming pool, we can use the formula for the area of a rectangle. The width is 8 meters and the length is 24 meters.

To find the dimensions of the rectangular swimming pool, let's assume the width to be 'w' meters. According to the given information, the length of the pool is triple the width, which means the length is 3w meters. To find the area of the pool, we can use the formula: Area = Length × Width.

Given that the area of the pool is 192 m², we can substitute the values into the formula as follows:

192 = (3w) × w

192 = 3w²

Dividing both sides of the equation by 3, we get:

w² = 64

Taking the square root of both sides of the equation, we get:

w = ±8

Since the width cannot be negative, the width of the pool is 8 meters. The length of the pool can be calculated by multiplying the width by 3:

Length = 3 × 8 = 24 meters

Therefore, the dimensions of the rectangular swimming pool are 8 meters by 24 meters.

True becauseIf you look a true “if then” statement, inserted a not in each clause, and reversed the clauses, the new statement would also be true.

Answer:

It's true

Step-by-step explanation:

Well, "minus 6 x cubed minus y squared minus 3 x y" translates to:

[tex]-6x^{2} -y^{2} -3xy[/tex]

Then, if we insert the values for x and y, we get:

[tex]-6(-2)^{2} -(4)^{2} -3(-2)(4)[/tex]

When we distribute and multiply:

[tex]144-16-24[/tex]

And once we combine like terms:

104 is the answer

The given statement can be written in expression form as

[tex]-6x^3-y^2-3xy[/tex]

As the value of [tex]x=-2[/tex] and [tex]y=4[/tex] are given .

To find the value of expression at the given values of [tex]x[/tex] and [tex]y[/tex] , we have to insert the values into the expression

[tex] -6(-2)^3-(4)^2-3(-2)(4)[/tex]

Now solving by cubing and squaring the numbers

[tex]-6(-8)-16-3(-8)[/tex]

As negative negative is positive and positive negative is negative

[tex] 48-16+24[/tex]

Adding like terms and subtracting we get

[tex]72-16=56[/tex]

56 is the Answer

Hope this will help

the answer is -  [tex]\frac{5}{12}[/tex]

given - 2 [tex]\frac{1}{2}[/tex] ÷ [tex]\frac{6}{1}[/tex]

change the mixed number to an improper fraction

- 2 [tex]\frac{1}{2}[/tex] = - [tex]\frac{5}{2}[/tex]

• leave the first fraction

• change division to multiplication

• turn the second fraction upside down

- [tex]\frac{5}{2}[/tex]× [tex]\frac{1}{6}[/tex] = - [tex]\frac{5(1)}{2(6)}[/tex] = - [tex]\frac{5}{12}[/tex]

$4.50 because 3 were free wich means 9 cost money 9*0.50=4.5

The cost of 12 candy bars with a 'buy 3 get 1 free' offer is $4.50.

To calculate the cost of 12 candy bars under the 'buy 3 get 1 free' deal, we need to divide the 12 by the group size, which is 4 (3 that you pay for + 1 that you get for free). This results in 3 groups. Since you only pay for 3 candy bars in each group, each group will cost you $0.50 x 3 = $1.50. So, the total cost for 12 candy bars is $1.50 x 3 = $4.50.

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Mass. It and velocity affects kinetic energy.

(72+67+82+79+f)/5 >=80   to find the average we add up all the scores and divide by the number. she took 4 tests plus the final which is 5.  It must be greater than or equal to 80

(300+f)/5>=80  added up the test scores

300+f >= 400  multiply each side by 5

f>= 100  subtract 100 from each side

Trinda needs 100 or greater

To find the minimum score Trinda can make on the final exam to pass the course with an average of 80 or higher, we set up an inequality and solve for the minimum score.

To find the minimum score Trinda can make on the final exam to pass the course with an average of 80 or higher, we can set up an inequality. Let's represent the minimum score as x. The average of Trinda's algebra tests scores is given by: (72 + 67 + 82 + 79 + x) / 5. To pass the course with an average of 80 or higher, the inequality would be: (72 + 67 + 82 + 79 + x) / 5 ≥ 80.

To solve this inequality, we need to multiply both sides by 5 to eliminate the denominator: 72 + 67 + 82 + 79 + x ≥ 80 * 5. Simplifying this, we get: 300 + x ≥ 400. To isolate x, we subtract 300 from both sides: x ≥ 100.

Therefore, Trinda needs to score a minimum of 100 on her final exam to pass the course with an average of 80 or higher.

Answer:

[tex]A=\frac{1}{2}a*b*sin(C)[/tex]

Step-by-step explanation:

First consider the diagram:

Now, we know that

[tex]Sin(C)=\frac{AD}{AC} \\ Sin(C) =\frac{h}{b} \\h=bsin(C)[/tex]

Now, the area of the triangle ABC is given by,

[tex]A=\frac{1}{2}*BC*AD\\\\A=\frac{1}{2}*a*h\\\\A=\frac{1}{2}*a*c*sin(C)\\\\A=\frac{1}{2}a*b*sin(C)[/tex]

The correct Answer:

LCM = 189

for the values:

27, 21

factorization of 21

21 = 3 × 7

factorization of 27

27 = 3 × 3 × 3

LCM = 3 × 3 × 3 × 7

LCM = 189

Let's resolve the powers of 10 to make them comparable

47000

45000

5000

280000

125000

Now you can see the largest is 280000 and the smallest is 5000

Their difference is 280000 - 5000 = 275000

The decimal multiplier to increase by 3% will be equal to 1.03.

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the given information in the question,

Let the number be 100.

So, as a whole, it is 100%

Then, let's increase it by 3%,

(100 + 3)%

= 103%

So, in decimal form,

103/100 = 1.03

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Answer:

stem and leaf plot

Step-by-step explanation:

Final answer:

A histogram is the best choice for displaying a set of data with a wide range to find measures of central tendency, as it effectively groups continuous data into frequency bins.

Explanation:

To display a set of data with a wide range, particularly when looking to find measures of central tendency, a histogram is typically the best choice. A histogram allows you to see the data's distribution by grouping data into 'bins' of equal width. Unlike a bar graph, which is more suitable for discrete categories, a histogram's contiguous rectangles make it ideal for showing the frequency of continuous data. Each bar on the histogram represents the frequency of data within a particular interval, giving an immediate visual summary of the data. This makes it easier to estimate the measures of central tendency such as the mean, median, and mode.

A stem-and-leaf plot could also be useful for smaller data sets, as it displays all data values which assist in identifying the central tendency measures directly. However, for larger and continuous data sets, the histogram is more efficient. A frequency table is another option for displaying the frequency of data grouped into ranges, making it possible to calculate the central tendency measures.

Answer:

4c² + 7c - 5 = 0

c = (-7 ± √(7² - 4(4)(-5)))/(2(4))

= (-7 ± √(49 + 80))/8

= (-7 ± √129)/8

Final answer:

To solve the equation 4c^2 + 7c - 5 = 0, use the quadratic formula to find the roots by substituting the values of a, b, and c into the formula and solving.

Explanation:

The equation is 4c2 + 7c - 5 = 0.

Using the quadratic formula:

Identify a = 4, b = 7, and c = -5.

Substitute into the formula: c = (-b ± √(b2 - 4ac)) / 2a.

Calculate the roots by plugging in the values: c = (-7 ± √(72 - 4*4*(-5))) / 2*4.

c = 0.66

*(Step-By-Step Instructions)*=

[tex].9+.5[/tex]                Add in the tenths place

[tex]7+2+1[/tex]               Add in the ones place with a one from the previous step

[tex]2+1+1[/tex]               Add in the tens place with a one from the previous step

*(Answer)*= 240.4

Answer:

$34,666.67

Step-by-step explanation:

Step 1: Calculate the interest for 60 days.

(40000*60/360 )* 0.10 = $666.67

Step 2: Amount = Principal + Interest = $40,000 + 666.67 = $40,666.67

Step 3 : After 60 days, he paid $6000.

Remaining balance of the first payment = 40666.67 - 6000 = $34,666.67

Thank you.

Answer:  - (4 1/4)

Solution:

(6 1/2 + 2 3/4) - 1.5*(4.5/0.5)=

(6 0.5 + 2 0.75) - 1.5*(9)=

(6.5+2.75) - 13.5=

(9.25) - 13.5=

- 4.25=

-(4 0.25)=

-(4 1/4)

I think 81 is composite and is 9 squared. 81 = 1 x 81, 3 x 27, or 9 x 9. Factors of 81: 1, 3, 9, 27, 81. Prime factorization: 81 = 3 x 3 x 3 x 3 which can also be written 3⁴. Since √81 = 9, a whole number, 81 is a perfect square. Even though it has other factors, the only multiplication fact we use is 9 x 9 = 81.

Answer:

81

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, solve the parenthesis

-8 + 6 = -2

-3[5 - (-2)]

Note that two negatives = one positive

-3[5 - (-2)] = -3[5 + 2]

Simplify. Solve the bracket

-3[5 + 2] = -3[8]

Simplify. Multiply to get the answer

-3 x 8 = -24

-24 is your answer

hope this helps

Answer:

-21

#RoadToGraduation

Step-by-step explanation:

The answer is: Product.

The explanation for this completion exercise is shown below:

By definition, a product is the result of multiply two or more factors. For example:

[tex](6)(2)=12[/tex] (The factors are 6 (Multiplier) and 2 (Multiplicand) and the result or the product is 12).

[tex](10)(8)=80[/tex] ( (The factors are 10 (Multiplier) and 8 (Multiplicand) and the result or the product is 80).

4.95+(18.95 x 11) = $213.40 a year

Answer:

Step-by-step explanation:

Given that sample size is 130 >30.  Also by central limit theorem, we know that mean (here proportion) of all means of different samples would tend to become normal with mean = average of all means(here proportions)

Hence we can assume normality assumptions here.

Proportion sample given = 92/130 = 0.7077

The mean proportion of different samples for large sample size will follow normal with mean = sample proportion and std error = square root of p(1-p)/n

Hence mean proportion p= 0.7077

q = 1-p =0.2923

Std error = 0.0399

For 95% confidence interval we find that z critical for 95% two tailed is 1,.96

Hence margin of error = + or - 1.96(std error)

= 0.0782

Confidence interval = (p-margin of error, p+margin of error)

= (0.7077-0.0782,0.7077+0.0782)

=(0.6295, 0.7859)

We are 95% confident that average of sample proportions of different samples would lie within these values in the interval for large sample sizes.

C is your answer. :)

C. it helps maintain the balance of materials needed for survival, such as oxygen and water.

im pretty sure it equals 1

The number to correctly fill in the blank in the equation 3 • 1/3 is 1. This is because multiplying 3 by 1/3 is the same as dividing 3 by 3, which equals 1.

In the given equation 3 • 1/3 = ____, you are asked to fill in the blank to make the equation true. Remember that '•' is a symbol representing multiplication. When you multiply 3 by 1/3, we are essentially dividing 3 by 3. This operation results in 1, so to make the equation true, you would insert '1' into the blank. Thus, the full equation, solved, is '3 • 1/3 = 1'.

To fill in the blank and make the equation true, we need to multiply 3 by 1/3. The product of 3 and 1/3 is 1. Therefore, 3 * 1/3 = 1.

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Hi

The answer is

A) The term 8f represents the cost of f stems of flowers at $8 per stem.

Thank you.

For this case we have the following expression:

[tex]13v + 8f + 6b + 3m\\[/tex]

That represents the total cost, in dollars, of the silk floral arrangements.

The variables are the following:

v: number of vases

f: amount of stems of flowers

b: quantity of stems of wood bark

m: number of packages of marbles

Thus, 8f Represents the cost associated with the quantity of stems of flowers, where f represents that amount

Answer:

option A

Answer:

1. Solve the equation using addition or subtraction.

[tex]4=q+13[/tex]

Taking like terms on one side, we get

[tex]4-13=q[/tex]

=> [tex]-9=q[/tex]

or [tex]q=-9[/tex]    (option C)

2. Solve the equation using addition or subtraction.  

[tex]5.5= -2+d[/tex]

Taking like terms on one side, we get

[tex]5.5+2=d[/tex]

So, [tex]d=7.5[/tex]    (option B)

3. Solve the equation using multiplication or division

[tex]-7y=28[/tex]

Dividing both sides by 7, we get

[tex]-y=4[/tex]

or [tex]y=-4[/tex]    (option A)

4. Solve the equation using multiplication or division

[tex]-13=\frac{m}{-5}[/tex]

Cross multiplying -13 and -5 to get the value of m

[tex]m=(-13)(-5)[/tex]

[tex]m= 65[/tex]      (option C)

The solutions of the equations are =

1) C) q = -9.

2) B) d = 7.5.

3) A) y = -4.

4) C) m = 65.

Given are the equation we need to solve them,

Let's solve the equations one by one:

1) 4 = q + 13

To isolate q, we can subtract 13 from both sides of the equation:

4 - 13 = q + 13 - 13

-9 = q

Therefore, q = -9.

The correct answer is C) q = -9.

2)5.5 = -2 + d

To isolate d, we can subtract -2 from both sides of the equation:

5.5 - (-2) = -2 + d - (-2)

5.5 + 2 = d

7.5 = d

Therefore, d = 7.5.

The correct answer is B) d = 7.5.

3) -7y = 28

To solve for y, we can divide both sides of the equation by -7:

(-7y) / (-7) = 28 / (-7)

y = -4

Therefore, y = -4.

The correct answer is A) y = -4.

4) -13 = m / -5

To isolate m, we can multiply both sides of the equation by -5:

-5 x (-13) = m

65 = m

Therefore, m = 65.

The correct answer is C) m = 65.

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1/3

Hope it helps :PPPPPPP

the answer is b because the piggy bank originally contained $25 and the person adds $1.50 per day.. so: 25+1.5d

Each shelve will hold 7 bottles.

they can hold 4,968 bottles