A hyperbola centered at the origin has a vertex at (-6, 0) and a focus at (10,0).

Answer: x = 5

Step-by-step explanation:

[tex]-2x+6x-8=12\\4x-8=12\\4x=20\\x=\frac{20}{4}\\ x=5[/tex]

Answer:

7

Step-by-step explanation:

Answer:

B. 7

Step-by-step explanation:

The equivalent of the expression | - 12 + 3 | is 9 because after simplifying the expression inside the absolute value parentheses, -12 + 3 is -9 and the absolute value of -9 is 9.

The student is asking for the equivalent of the absolute value expression | − 12 + 3 |. To solve this, we have to simplify the expression inside the absolute value parentheses first, which means performing the operation −12 + 3. This results in −9, because when you add a positive number to a negative one, you effectively subtract the smaller number from the larger one, but keep the sign of the larger number.

The absolute value of a number is the distance of that number from zero on a number line, regardless of the direction, so the absolute value of −9 is 9. Therefore, the expression | − 12 + 3 | is equivalent to 9.

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Answer: what’s the recipeeeeeee we need the recipe to answer the question

Step-by-step explanation:

Answer:

You would need to bake 3 batches of 12 muffins for a total of 36.

Step-by-step explanation:

If you have 14 people that will each eat 2 muffins, a total of 28 muffins are needed. Since the batches make 12, 2 batches wouldn't be enough. It's always better to round up for these questions. Hope this helps! :)

Answer:

The point is (-2, -3)

Step-by-step explanation:

Given function:

[tex]f(x)= (x+2)^2-3[/tex]

For: [tex]f(x)=y[/tex] and [tex]x=-2[/tex]

[tex]f(-2)= (-2+2)^2-3\\f(-2)= (0)^2-3\\f(-2)= -3\\[/tex]

∴[tex]y=-3; x=-2[/tex]

The probability that a randomly selected vehicle is NOT a car or a truck (i.e., it's an SUV) given that it's silver or black is approximately -18.6167.

To find P(NOT B | A), we want to calculate the probability that a randomly selected vehicle is NOT a car or a truck (i.e., it's an SUV) given that it's silver or black.

First, let's find the probabilities of events A and B:

Event A: Probability of a randomly selected vehicle being silver or black.

Event B: Probability of a randomly selected vehicle being a car or a truck.

From the table, we can find the probabilities of A and B:

P(A) = Probability of a silver or black vehicle = (Silver + Black) / Total = (17 + 19) / 60 = 36 / 60 = 3 / 5.

P(B) = Probability of a car or a truck = (Car + Truck) / Total = (819 + 358) / 60 = 1177 / 60.

Now, we can use these probabilities to find P(NOT B | A) using the formula for conditional probability:

P(NOT B | A) = P(A AND NOT B) / P(A)

To find P(A AND NOT B), we need to find the probability of a vehicle being silver or black (A) AND not being a car or a truck (NOT B):

P(A AND NOT B) = P(A) - P(A AND B)

Now, we already have P(A) and P(B), so we can calculate P(A AND B):

P(A AND B) = P(A) * P(B) = (3/5) * (1177/60)

Now, subtract P(A AND B) from P(A) to get P(A AND NOT B):

P(A AND NOT B) = P(A) - P(A AND B)

Finally, we can calculate P(NOT B | A):

P(NOT B | A) = P(A AND NOT B) / P(A)

Plug in the values:

P(NOT B | A) = (P(A) - P(A AND B)) / P(A)

Calculate the values:

P(NOT B | A) = ((3/5) - ((3/5) * (1177/60))) / (3/5)

Simplify the expression:

P(NOT B | A) = (3/5) * (1 - (1177/60)) / (3/5)

Now, perform the calculations:

P(NOT B | A) = (3/5) * (1 - (1177/60)) / (3/5)

P(NOT B | A) = (3/5) * (1 - 19.6167) / (3/5)

P(NOT B | A) ≈ (3/5) * (-18.6167) / (3/5)

P(NOT B | A) ≈ -18.6167

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Answer:

A≈49.86

Step-by-step explanation:

The recursive formula for f(n) = 41 - 5n is f(1) = 36 and f(n) = f(n-1) - 5, with f(n) being found by subtracting 5 from the previous value of f(n).

The function f(n) = 41 - 5n is a linear function, where n is the input. The recursive formula for this function can be defined as follows:

The second formula is saying that to find the value of the function at n, subtract 5 from the value of the function at the previous value of n.

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The recursive formula for f(n) = 41 - 5n is f(1) = 36 and f(n) = f(n-1) - 5, with f(n) being found by subtracting 5 from the previous value of f(n).

Answer:

Step-by-step explanation:

Y= -2(x - 3)^2 + 1 can be seen as the equation of a parabola with vertex at (3, 1) and which opens down.

Y= -2(x - 3)^2 + 1 could also be expanded, obtaining a formula for the same parabola but in different format:

y = -2(x^2 - 6x + 9) + 1, or

y = -2x^2 + 12x -18 + 1, or     y = -2x^2 + 12x - 17

Answer:

0.9 ≈ 90%

Step-by-step explanation:

60% = 60/100

150% of 60% = 150/100 * 60/100

= 9000/10000

= 0.9 ≈ 90%

Answer:

The answer is 1.

Step-by-step explanation:

The correct option is B. [tex]1[/tex]. The solution to [tex]\(3x + 3 = x + 5\)[/tex] is [tex]\(x = 1\)[/tex]

To solve the equation [tex]\(3x + 3 = x + 5\)[/tex] by graphing [tex]\(y = 3x + 3\)[/tex] and [tex]\(y = x + 5\)[/tex], we need to find their point of intersection.

1. Graphing the Equations:

The first equation is [tex]\(y = 3x + 3\)[/tex], which has a slope of [tex]3[/tex] and a y-intercept of [tex]3[/tex].

The second equation is [tex]\(y = x + 5\)[/tex], which has a slope of [tex]1[/tex] and a y-intercept of [tex]5[/tex].

2. Finding the Intersection:

Plot the two lines on the graph.

The point where the two lines intersect is the solution to the equation [tex]\(3x + 3 = x + 5\)[/tex]

From the graph provided:

The two lines intersect at the point [tex]\((1, 6)\)[/tex]

3. Verifying the Solution:

Substitute [tex]\(x = 1\)[/tex] into the original equation[tex]\(3x + 3 = x + 5\)[/tex]

[tex]\[ 3(1) + 3 = 1 + 5 \\ 3 + 3 = 6 \\ 6 = 6 \][/tex]

The solution is verified.

Therefore, the solution to [tex]\(3x + 3 = x + 5\)[/tex] is [tex]\(x = 1\)[/tex]

The complete question is

You can solve the equation 3x+3=x+5 by graphing y=3x+3 and y=x+5 finding their point of intersection. and Use the drop-down menu to complete the statement below. The solution of 3x+3=x+5 is

A. 6

B. 1

C. (1,6)

D. (1,1)

Step-by-step explanation:

4, 9, 16, 25, 36,49

there are 6 perfect squares from 4 to 50

Answer:

Perfect squares from 4 to 50 are 4, 9, 16, 25, 36, and 49 .

So there are 6 perfect squares.

Step-by-step explanation:

2 * 2  =  4

3 * 3 = 9

4 * 4 = 16

5 * 5 = 25

6 * 6 = 36

7 * 7 = 49

Answer:the last one

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I just did it!

Answer:

A

Step-by-step explanation:

Since you are trying to find the probability that it takes at least five customers count up all the trials where 5 or more numbers were used. Put that number over the total number of trials (15). The correct answer is  4/15

The probability that it will take at least [tex]5[/tex] customers to find one who buys chocolate ice cream is approximately [tex]53.33\%[/tex]

The correct probability that it will take at least [tex]5[/tex] customers to find one who buys chocolate ice cream is the number of trials where it took at least [tex]5[/tex] customers to find a chocolate ice cream buyer divided by the total number of trials.

Let's denote the number of trials where it took at least [tex]5[/tex] customers as [tex]\( A \)[/tex] and the total number of trials as [tex]\( T \)[/tex] The probability [tex]\( P \)[/tex] is then given by:

[tex]\[ P = \frac{A}{T} \][/tex]

From the given data, we have:

[tex]\( A = 8 \)[/tex] (since there are [tex]8[/tex] trials where it took [tex]5[/tex] or more customers)

[tex]\( T = 15 \)[/tex] (since there are [tex]15[/tex] trials in total)

Now, we can calculate the probability:

[tex]\[ P = \frac{8}{15} \][/tex]

This is the probability that it will take at least [tex]5[/tex] customers to find one who buys chocolate ice cream.

To express this probability as a percentage, we multiply by [tex]100[/tex]

[tex]\[ P(\%) = \frac{8}{15} \times 100 = \frac{800}{15} = 53.33\% \][/tex]

Answer: D. 0.860

Step-by-step explanation:

In the table we can see that he rolled the cube 1000 times, and he recorded that 140 of those times he rolled a 5.

Then, the probability of rolling a 5 will be equal to:

P1 = 140/1000 = 0.14

Now, the probabilty of NOT rolling a 5, is equal to the rest of the probabilities, this is:

P2 = 1 - 0.14 = 0.86

then the correct option is D

Answer:

D

Step-by-step explanation:

vertical angles are opposite from each other

Complementary angles are 180

supplementary angles are 90

so it is none of the above

Answer:

- 4/(√2)^18

Step-by-step explanation:

hello :  look this solution

Answer:

104

Step-by-step explanation:

Two shoes=20

Guy= 5

Glasses= 2

Boxing glove= 20

One shoe+guy with shoes, glasses, and gloves*glasses=104

Answer:

104

Step-by-step explanation:

60/3 = 20

Shoes = 20

30-20 = two weird people

two weird people = 10

one weird person = 5

9-5 = 4

two pairs of glasses = 4

one pair of glasses = 2

42 - 20 - 2 = 20

gloves = 20

shoe + (weird person + glasses + pair of shoes) x glasses = ?

10 + (5 + 2 + 20 + 20) x 2 = 20

10 + 47 x 2 = 104

10 + 94 = 104

I hope you understand this now!

Answer:

*4

Step-by-step explanation:

Answer:

4

6x9=54=(6*5)+(6*4)

Step-by-step explanation:

6x9=54=(6*5)+(6*4)

6x9=54

54 is the number you are trying to get

6*5= 30

so now you need something to add up to 54

6*4=24

24+30=54

Answer:

8 = 104 - 3x

Step-by-step explanation:

I'm assuming the function given is y = 9300(0.991)^x

If so, then the base of the exponent 0.991 is in the form 1+r

1+r = 0.991

r = 0.991-1

r = -0.009

The negative r value indicates a percent decrease.

Specifically it is a 0.9% decrease since 0.009 = 0.9/100 = 0.9%

Any time you have a percent decrease like this, the exponential function is undergoing decay.

Hope this will help u....

Answer:

0

Step-by-step explanation:

2x+4

x= -4/2

x= -2

2(-2)+4

-4+4

= 0

Answer:

[tex] \tan(30) = \frac{7}{x} [/tex]

[tex] \frac{1}{ \sqrt{3} } = \frac{7}{x} [/tex]

[tex]x = 7 \sqrt{3} [/tex]

Answer:

7 * sqrt(3) =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan 60 = x/7

Multiply each side by 7

7 tan 60 =x

We know than 60 =sqrt(3)

7 * sqrt(3) =x

Answer:

Option D.

Step-by-step explanation:

In this question figure of pyramid is attached below the question .

Surface area of the rectangular pyramid :

Area of the Base = Length × Width

                            = 10 × 2 = 20 cm²

Area of Lateral #1 = [tex]\frac{1}{2}(P)(L)[/tex]

                             = [tex]\frac{1}{2}(10\times6.3)[/tex]

                             = 31.5 cm²

Area of Lateral #2 = [tex]\frac{1}{2}(8\times 2)[/tex]

                               = [tex]\frac{16}{2}[/tex]

                               = 8 cm²

Surface area of the pyramid = 20 + 2(31.5) + 2(8)

                                                = 20 + 63 + 16

                                                = 99 cm²

Surface area of the pyramid is 99 cm²

Answer:

99cm2

Step-by-step explanation:

Answer: 10

10 squared

10 cubed

Answer:

Step-by-step explanation:

to evaluate for your questions in the power of 10

1) 624 ÷ 10 = 62.4..................................... 10

2) 624 ÷ 100 = 6.24 ............................................... 10²

3) 624 ÷ 1000 = 0.624 .........................................10³

Answer:

The real answer is 1286

Step-by-step explanation:

81x16=1296

(16 is the common difference)

1296-10=1286

Answer:

x ^2 − 9^ 2. hope this helps

Answer:

(x+9)(x-9)

Step-by-step explanation:

whenever its is x^2

you can start off with

(x+_)(x+_)

then your figure out "what times what" is -81 (they have to be the same number!)

Its -9 and 9

and so you plug that in to get

(x+9)(x-9)

Answer:

1) f⁻1(x)= x+2/123

2) f(0.02235)=0.75

3) x= 0.02235

Step-by-step explanation:

part 1)

given that

f(x)=123x-2

to find F⁻1(x) we put X = f⁻1(x) in the given function to obtain

f(f⁻1(x))=123xf⁻1(x)

-> x+123x f⁻1(x)-2(f(f^-1(f⁻1(x)-x+2/123

part 2 and 3

for f(x)=0.75 we put f(x)=0.75and then solve for "x"

0.75=123 times x-2

x+0.75+2/123=0.02235

Answer:

a. average speed is 12km/hr

b. $5.50 dollars per hour

c. $0.46 per km

Step-by-step explanation:

a. 48km/4hrs = 12km/hr

b. $22/4hrs = $5.50/hr

c. $22/48km = $0.45833/km rounded to $0.46/km