what is the length of the conjugate axis? (y-2)^2/16 -(x+1)^2/144=1

Answer:

10x + 7(10x)

Step-by-step explanation:

X is the unknown number

Answer:

between 8.36 and 8.37

Step-by-step explanation:

[tex]\sqrt{70} =8.3666[/tex]

Hope this helps

We need to know what converse of a statement means to solve the problem. The converse of the given statement is, if a=bc then a/b=c.

The converse of a conditional statement is created by exchanging the condition and the result. If a statement is p--->q then the converse of the statement is q--->p. In the given question we have been given the condition as a/b=c and the result if the condition satisfies is a=bc. To find the converse of this statement we need to make the result, the condition and the condition will be the new result. So the condition for converse will be a=bc and the result if the condition satisfies will be a/b=c.

Therefore the converse of the given statement is, if a=bc then a/b=c.

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The angle at which the shot was made should be 17.53° degrees.

Let C denote the point where the player attempts to put in a goal.

Let A and B denote the two goalposts.

We are given the posts of a hockey goal are 6 ft apart.

The distance between the player and one goalpost is 19 ft.

The distance between the player and the other goalpost is 24 ft.

Then, we have AC = 19 ft, BC = 24 ft, and AB= 6 ft.

Refer to the diagram.

Let θ be the angle made when trying to shoot the goal towards goalpost A.

Then we have tan(θ) = 6/19

⇒ θ = 17.53° degrees.

Therefore, the angle at which the shot was made should be 17.53° degrees.

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The value of x is 7. The correct option is A. 7

From the question, we are to determine the value of x

From the given information,

Carly earns $15 for each thirty-minute session and $25 for each sixty-minute session

Also,

She earned $230 this past weekend and had x thirty-minute sessions and x - 2 sixty-minute sessions

Then, we can write that

x × $15 + (x -2) × $25 = $230

Solve for x in the equation

15x + 25(x -2) = 230

15x + 25x - 50 = 230

40x - 50 = 230

40x = 230 + 50

40x = 280

x = 280/40

x = 7

Hence, the value of x is 7. The correct option is A. 7

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Answer:

B. 7

Step-by-step explanation:

Correct on edmentum!

If 18.1 percent of the solution is acid, 64.07 milliliters of acid are there.

What is a percentage?

As per the question,

18.1 Percent of 357 ml of solution used is acid, therefore,

=(18.1/100)*357

= 64.07 ml of acid

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Answer:

-177

Step-by-step explanation:

Plug in the values into the equation.

-q(9)^2-(-6)^2+3(-20)

-81-36-60=-177.

Answer: -3

Step-by-step explanation:

turn mixed numbers into improper fractions, simplify, and solve- see attached

Answer:

-3

Step-by-step explanation:

to find the answer first turn both numbers into improper fractions

-1 13/14 becomes -27/14

1 5/9 becomes 14/9

now multiply them

[tex]\frac{-27}{14} * \frac{14}{9}[/tex]

you can cancel out the 14s

[tex]\frac{-27}{1} * \frac{1}{9}[/tex]

now divide 9 to the top of the first fraction and to the bottom of the second one

[tex]\frac{-3}{1} * \frac{1}{1}[/tex]

now multiply

-3/1 is your answer

that is basically -3

The line has a slope of 9 and y-intercept of -9

A linear equation is a equation that has a linear degree of 1.

Given the inequality expression 9x-y<9

Write in slope-intercept form

-y < -9x + 9

y > 9x - 9

From the equation, we can see that the line has a slope of 9 and y-intercept of -9

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we get that the power set of {2, 3, 4, 5} a subset of the power set of {1, 2, 3, 4, 5, 6}.

We are given a power set:

A = {1, 2, 3, 4, 5, 6}

We are also given another power set:

B = {2, 3, 4, 5}

We need to tell if B is a subset of A or not.

We can see that every element of B is a part of A as well.

So, we can say that B is a subset of A.

B ⊂ A

{2, 3, 4, 5} ⊂ {1, 2, 3, 4, 5, 6}

Therefore, we get that the power set of {2, 3, 4, 5} a subset of the power set of {1, 2, 3, 4, 5, 6}.

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The sum of the given infinite geometric series is; 32

The general formula for finding the sum of an infinite geometric series is s = a₁/(1 - r)

where;

s is the sum

a₁ is the first term of the series

r is the common ratio.

To find the common ratio, use the formula: r = a2⁄a1

where a2 is the second term in the series and a1 is the first term in the series.

Thus;

r = 2²/4²

r = 1/2

Thus;

S = 4²/(1 - 1/2)

S = 16/(1/2)

S = 32

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Answer:

9

Step-by-step explanation:

x/9 = 1

Multiply both sides by 9

x = 9

Also, any number over itself is equal to 1.

we don't have enough information to conclude if the triangles are similar, thus, the correct option is C.

Two figures are similar if the figures have the same shape, but different size.

So, one figure is a dilation/contraction of the other figure.

In this case of the triangles, two are similar if and only if all the correspondent internal angles have the same measure.

For the case of the image, the triangles:

RST and RUV

would be similar if and only if line ST and line UV are parallel, in that case we would get that the angles at S and U are equal, and the same for the angles at T and V.

In this particular case, there is no indication that ST and UV are parallel. (they may be, the may not be)

So we don't have enough information to conclude if the triangles are similar, thus, the correct option is C.

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dam n bro uglier den a redneck on a sunday

Step-by-step explanation:

The length of the guy wire, to the nearest foot is 48 ft.

A unit of length (or distance) in US units equal to 12 inches. The abbreviation is: ft. Or sometimes the single quote mark: ' Example: 10 feet can be written 10 ft, or just 10' A foot is exactly 0.3048 meters in the Metric System (the foot is defined that way).

Step-by-step explanation:

Here, we want to find the length of the wire

from the diagram, we can identify two similar triangles

The smaller one and a bigger one

Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal

We can start by getting the height of the tower

we have this as:

8/11 = 28/x

8 * x = 28 * 11

8x = 308

x = 308/8

x = 38.5 ft

So as we can see, the wire represents the hypotenuse of the larger triangle that measures 28 ft base and 38.5 ft height

So we can use the Pythagoras’ theorem to get the hypotenuse

Let us call this g mathematically;

According to the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides

thus, we have it that;

g^2 = 38.5^2 + 28^2

g^2 = 2,266.25

g = √2,266.25

g = 47.61 which is approximately 48 ft

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Answer:

4

Step-by-step explanation:

the sequence is like [tex]1^{2}[/tex],[tex]2^{2} ,4^{2},8^{2} ,16^{2} ,32^{2}[/tex]

Answer:

there are 24 1/8 in 3

Step-by-step explanation:

8x3=24

Answer: The fraction that will show the number of ounces of filling Camilo uses is x = 32 ounces

Step-by-step explanation:

Calculation by using  fractions method :

The number of ounces used is x = 32

The number of trays = 3

Number of empanadas on each tray = 8

Therefore, the total number of empanadas on the 3 trays

= 3×8

= 24

If x = empanadas

32 ounce = x

Therefore, the fraction that shows number of ounces  of filling Camilo uses in each empanada  is x = 32 ounces

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The slope of the line is 1.

The slope of a line is the ratio of the amount that y increases as x increases some amount

To calculate the slope of the graph, we use the formula below.

Formula:

From the question,

Given:

Substitute these values into equation 1

Hence, the slope of the line is 1.

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Answer:

-6/5

Step-by-step explanation:

(14-8)÷(-3-2) = -6/5

The graph of g(x) is gotten by translating the function f(x) = |x| down by 3 units to get to function g(x)

The equation of the function is given as

g(x) = |x| - 3

The above function is an absolute value function.

The parent function of an absolute value function is

f(x) = |x|

This means that the function f(x) is translated to get to function g(x)

In this case, the function is f(x) is translated down by 3 units to get to function g(x)

So, the graph of g(x) is gotten by translating the function f(x) = |x| down by 3 units to get to function g(x)

See attachment for the graph of g(x)

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Answer:
y = x - 4

Step-by-Step Explanation:

Perpendicular lines have slopes that are negative reciprocals—multiplying their slopes result in -1.Given the slope of a line m = -1, then it means that the slope of the other line must be 1 (because multiplying the slope of line 1  (m1 = -1), and the slope of the other line (m2 = 1) results in: -1 × 1 = -1).Therefore, given the slope of line 2 (m2 = 1), and the point (2, -2), we could plug these values into the slope-intercept form and solve for the y-intercept (b):y = mx + b-2 = 1(2) + b-2 = 2 + bSubtract 2 from both sides to solve for b:-2 - 2 = 2 - 2 + b-4 = bTherefore, the y-intercept (b) = -4.Hence, the equation of the perpendicular line is: y = x - 4

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Considering the definition of perpendicular line, you obtain:

1) the equation of perpendicular line is y= -5x + 7.

2) the equation of perpendicular line is y= 7x + 54.

A linear equation o line can be expressed in the form y = mx + b

where

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of  1/5. So:

1/5× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (1/5)

slope perpendicular line= -5

So, the perpendicular line has a form of: y= -5x + b

The line passes through the point (2,-3). Replacing in the expression for perpendicular line:

-3= -5× (2) + b

-3= -10 + b

-3 +10 = b

7= b

Finally, the equation of perpendicular line is y= -5x + 7.

In this case, the line is x +7y -12= 0. Expressed in the form y = mx + b, you get:

7y= -x +12

y= (-x + 12)÷ 7

y= -1/7x +12/7

If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of  -1/7. So:

-1/7× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (-1/7)

slope perpendicular line= 7

So, the perpendicular line has a form of: y= 7x + b

The line passes through the point (5,-9). Replacing in the expression for perpendicular line:

-9= 7× (-9) + b

-9= -63 + b

-9 + 63 = b

54= b

Finally, the equation of perpendicular line is y= 7x + 54.

In summary, you obtain:

1) the equation of perpendicular line is y= -5x + 7.

2) the equation of perpendicular line is y= 7x + 54.

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Answer:

6224 Brand X residents and 9335 Brand Y residents

Step-by-step explanation:

Total number of residents in the survey=15559

Residents that prefer Brand X=40%

Residents that prefer Brand Y=60%

Population sample?

Residents that prefer Brand X= 40/100 ×15559 =6223.6⇒6224 residents

Residents that prefer Brand Y= 60/100 × 15559 =9335.4⇒⇒9335 residents

Answer: B

Step-by-step explanation:

The Type I error's computed value is 0.02275 and The Type II error has a computed value of 0.50 based on probability.

What is probability?

(a) Type I error probability if the critical region is defined as x < 11.5 kilograms

[tex]P(Type\ Error)=P\ xbar < 11.5\ when\ mu=12)\\\\[/tex]

[tex]=P(Z < \frac{11.5-12}{\frac{0.5}{\sqrt{4} } } )\\\\=P(Z < -2)\\\\=0.02275[/tex]

The Type I error's computed value is 0.02275.

Observe that there is a 2.275% likelihood of dismissing the null hypothesis if it is true based on the Type I error probability.

(b) β for the case in which the true mean elongation is 11.25 kilograms.

[tex]b= P(Type II Error)\\\\=P(xbar\geq 11.5\ when\ mu_1\ =11.25)[/tex]

[tex]=P(Z \geq \frac{11.5-12}{\frac{0.5}{\sqrt{4} } } )\\\\=P(Z \geq 1)\\\\= 1-P(Z < 1)\\\\=1-0.8413\\\\=0.1587[/tex]

The Type II error's computed value is 0.1587.

Observe that there is a 15.87% possibility of refusing to disprove the null hypothesis when it is untrue based on the Type II error probability.

(c)  β for the case in which the true mean is 11.5 kilograms.

[tex]b= P(Type II Error)\\\\=P(xbar\geq 11.5\ when\ mu_1\ =11.25)[/tex]

[tex]=P(Z \geq \frac{11.5-11.5}{\frac{0.5}{\sqrt{4} } } )\\\\=P(Z \geq 0)\\\\= 1-P(Z < 0)\\\\=1-0.50\\\\=0.50[/tex]

The Type II error has a computed value of 0.50.

Observe that there is a 50% possibility of neglecting to disprove the null hypothesis when it is untrue based on the Type II error probability.

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Answer:

The room should be 460.65 [tex]m^{2}[/tex].

Step-by-step explanation:

First, you have to convert the percentage to a fraction.

11% = 0.11

Then add one to that number.

0.11 + 1 = 1.11

Multiply the number with the original room size.

415 * 1.11 = 460.65 ([tex]m^{2}[/tex])

Answer:

about 3103

Step-by-step explanation:

Answer:

Y=2x-1

Step-by-step explanation:

(0,-1) parallel to y=2x + 4

parallel means the slope is the same (i.e m=2)

general equation would be

y=2x+k

now (0,-1) belongs to line where x=0 and y= -1

-1 =2(0)+k

-1 = k

hence k is -1

the equation is y=2x-1

Answer:

1/4

Step-by-step explanation:

12 cm x 1/4 = 3 cm

also i already learned scaled copys  

Answer: The scale factor used in figure 2 is 1/4 or one fourth

Step-by-step explanation:

Hope this helps!

Answer:

A

Step-by-step explanation:

12.5% is 4 of 32. Devide 4 by 32 you get the 0125

Answer:

A 12.5%

Step-by-step explanation:

let p be the percentage that 4 represents.

[tex]32\longrightarrow 100 \%\\4 \longrightarrow \text{p} \%[/tex]

Then

[tex]p=\frac{4}{32} \times 100[/tex]

  [tex]= 0.125 \times 100[/tex]

  [tex]=12.5[/tex]

Proportionately, the number of batches that Chika can make with 2.25kg of sugar is 7.5.

Proportion is the ratio of a variable in the whole.

Proportion shows how much quantity is contained in a variable.

Proportions are represented in decimals, percentages, and fractions.

Number of Batches    2      3      4

Sugar (kg)                  0.6   0.9   1.2

Proportion of sugar

 per batch                 0.3  0.3   0.3

Chika's sugar ingredient = 2.25 kg

The number of batches Chika can make = 7.5 (2.25/0.3)

Thus, the number of batches that Chika can make with 2.25kg of sugar is 7.5.

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