Find an equation of the hyperbola with center at the origin that satisfies the given condition: A vertex at ( 0,-12) and a focus at (0,-13)

Step-by-step explanation:

28.75-20=8.75

8.75/7= 1.25

each cup costs $1.25

Answer:

x = 92

Step-by-step explanation:

The segment of measure 46 joins the midpoints of 2 sides of the triangle and is one half the measure of the third side, thus

x = 2 × 46 = 92

The statement that must be shown to prove part of the triangle midsegment theorem is: B. The length of GH is half the length of KL

Given ΔJKL with a midsegment of GH as shown in the diagram attached below:

GH is the midsegment

KL is the base (third side)

Therefore, the statement that must be shown to prove part of the triangle midsegment theorem is: B. The length of GH is half the length of KL

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Answer:

15

Step-by-step explanation:

TV = TU+UV

     = 12 + 3

TV = 15

Answer:

[tex]A=1000(1+0.04)^5[/tex]

Step-by-step explanation:

-The general expression of an exponential function is :

[tex]A=P(1+r)^n[/tex]

where:

We substitute our parameter values in the equation as:

[tex]A=1000(1+0.04)^5[/tex]

Final answer:

To write the given equation in exponential form, raise the base value of 1000 to the power of (1 + 0.04)⁵.

Explanation:

To write the given equation in exponential form:

Start with the base value, in this case, 1000.

Raise the base to the power of the exponent, which is (1 + 0.04)⁵.

The exponential form would be 1000 * (1 + 0.04)⁵.

Answer:

2376 square feet

Step-by-step explanation:

40 x 15 = 600

40 x 24 = 960

1/2 x (24 x 9) = 108

600 + 600 + 960 + 108 + 108 = 2376

Answer:

48 cm²

Step-by-step explanation:

They are only asking for the area of the base of the prism, which is the length of the prism times the width of the prism.

B = area of base

l = length = 6 cm

w = width = 8 cm

B = l * w

B = 6 cm * 8 cm

B = 48 cm²

The area of the base of the prism is 48 cm²

Answer:

48

and

336

I just did it

Answer:

The rate is 0.42 pumpkin pies per person

Step-by-step explanation:

In this question, we are to calculate the amount of pie eaten per person.

This is a rate question.

We have 5 pies and 12 hungry people who ate the same amount of pies as the next person.

The unit rate which is pumpkin pie person is mathematically calculated by dividing the number of pumpkins pies by the number of persons

Mathematically that would be 5/12 = 0.42 pies per person approximately

Answer:

P=3 hope this helps! Sorry if I get it wrong. Hope I get brainliest! :D

Step-by-step explanation:

Simplifying

3p + -1 = 5(p + -1) + -2(7 + -2p)

-1 + 3p = 5(p + -1) + -2(7 + -2p)

-1 + 3p = 5(-1 + p) + -2(7 + -2p)

-1 + 3p = (-1 * 5 + p * 5) + -2(7 + -2p)

-1 + 3p = (-5 + 5p) + -2(7 + -2p)

-1 + 3p = -5 + 5p + (7 * -2 + -2p * -2)

-1 + 3p = -5 + 5p + (-14 + 4p)

-1 + 3p = -5 + -14 + 5p + 4p

 -5 + -14 = -19

-1 + 3p = -19 + 5p + 4p-1 + 3p = -19 + 9p

Solving

-1 + 3p = -19 + 9p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-9p' to each side of the equation.

-1 + 3p + -9p = -19 + 9p + -9p

Combine like terms: 3p + -9p = -6p

-1 + -6p = -19 + 9p + -9p

Combine like terms: 9p + -9p = 0

-1 + -6p = -19 + 0

-1 + -6p = -19

Add '1' to each side of the equation.

-1 + 1 + -6p = -19 + 1

Combine like terms: -1 + 1 = 0

0 + -6p = -19 + 1

-6p = -19 + 1

Combine like terms: -19 + 1 = -18

-6p = -18

Divide each side by '-6'.

p = 3

Simplifying

p = 3

Answer:

the answer is 2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

HOW IS THIS HIGH SCHOOL?! ITS SO EASY ITS D

Step-by-step explanation:

Answer:

The fourth one

Step-by-step explanation:

if you plug the values in then you would get

(-3) + (-4) = -7

3(-3) + 2(-4) = -17

-7 = -7

-8 + -9 = -17

-17 = -17

True

Answer:

Step 1: Calculate

We calculate the square root of 30 to be:

√30 = 5.47722557505166

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

5.47

Step 3: Round

Round 5.47 so you only have one digit after the decimal point to get the answer:

5.5

To check that the answer is correct, use your calculator to confirm that 5.52 is about 30.

Answer:

I think its 5.5

Step-by-step explanation:

Mike is correct, because the rules for powers and exponentiation say that when you elevate a certain base which is already being elevated to a certain power, the powers multiply.

This means that:

[tex] {( {a}^{b} )}^{c} = {a}^{bc} [/tex]

Or, using your example:

[tex] {( {2}^{3} )}^{5} = {2}^{3 \times 5 } = {2}^{15} [/tex]

To find the number of locks on the canal, divide the length of the canal by the distance between each lock. The canal is 10 miles long and there is a lock every 2/3 mile. Therefore, there are 15 locks on the canal.

To find the number of locks on the canal, we need to divide the length of the canal by the distance between each lock. The canal is 10 miles long and there is a lock every 2/3 mile. We can divide 10 by 2/3 to find the number of locks.

Using the rule of dividing by a fraction, we can rewrite the expression as 10 ÷ \(\frac{2}{3}\). This is equivalent to multiplying by the reciprocal of the fraction, so the expression becomes 10 × \(\frac{3}{2}\). Now we can multiply 10 by 3 and divide by 2 to get the answer.

10 × 3 = 30
30 ÷ 2 = 15

Therefore, there are 15 locks on the canal.

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Answer:

1

Step-by-step explanation:

Answer:

1 apple

Step-by-step explanation:

2 - 1 = 1 <3

Answer:

2/5

Step-by-step explanation:

40 students drive to school

40/100 drive to school

2/5

Step-by-step explanation:

Hello there!

Add all of the values in the table to get the total amount of students.

25+25+20+13+5+5+3+2+2=(70)+(23)+(4)=97

Then, make your probability:

P(Drive to school)=(How many students drive)/(All students)

P=40/97

;)

Answer:

16

Step-by-step explanation:

Answer:

it is 16

Step-by-step explanation:

Answer: The slope is m = 1

Step-by-step explanation:

-To find the slope, you need the slope formula:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]  where you have [tex](x1,y1)[/tex] and [tex](x2,y2)[/tex] on the equation.

-Next, you put the two points to the equation:

[tex]m=\frac{1+3}{1+3}[/tex]

-And then you solve the equation:

[tex]m=\frac{1+3}{1+3}[/tex]

[tex]m=\frac{1+3}{1+3} = \frac{4}{4}=1[/tex]

[tex]m=1[/tex]

The slope of line having  (-3,-3) (1,1) as points is 1 .

Given,

Points:  (-3,-3) (1,1)

To find the slope, you need the slope formula:

m = y2 -y1 /x2 - x1

Here,

(x1 , y1 ) = (-3,-3)

(x2 , y2) = (1,1)

So,

Substitute the values in slope formula ,

m = y2 -y1 /x2 - x1

m = 1 - (-3)/1 - (-3)

m = 4/4

m = 1

Thus the slope of line is 1 .

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Answer:

439 x 0.4 = 175.6 so the discount is 175.6

Step-by-step explanation:

40% is equal to 0.4 and you just multiply. If you want to find the discount price just subtract the discount off.

Hope this helps can I have brainliest

Final answer:

The discount on the tablet is $175.60.

Explanation:

To calculate the discount on the tablet which is 40% off the original price of $439, we need to use the formula:

Discount = Original Price × Discount Rate

Therefore:

Discount = $439 × 40%

First, convert 40% into a decimal, which is 0.40:

Discount = $439 × 0.40

Do the multiplication to find the discount:

Discount = $175.60

So, the discount is $175.60, and the tablet would then cost $439 - $175.60 = $263.40 after applying the discount.

Option A) Center: (2,5) & Radius=7 is the correct one.

Step-by-step explanation:

The general form of the equation of the circle is given as :

⇒ (x-h)² + (y-k)² = r²

where,

Therefore, you need to compare the given equation with the general equation of the circle.

The given equation of circle is (x-2)² + (y-5)² = 49

From the given equation, it can be determined that

h = 2 and y = 5 and r² = 49

The center (h,k) of the circle is (2,5).

To find the radius r :

⇒ r² = 49

⇒ r = 7

The radius of the circle is 7.

∴ Option A) Center: (2,5) & Radius=7 is the correct one.

Answer:

The proportion of premises painted by Mario is [tex]\frac{3}{14}[/tex].

Step-by-step explanation:

The question is:

A local in Santa Bárbara was painted by 4 enterprising people who got together to start a dairy business; Juan, Pedro, Carlos and Mario; Juan painted 2/7 of the premises, Pedro painted 5/14 and Carlos painted 2/14; What fraction did Mario paint?

Solution:

Consider the proportion of the total premises painted is 1.

The four enterprising people who got together to start a dairy business are:

Juan (J), Pedro (P), Carlos (C) and Mario (M).

The proportion of premises painted by Juan is:

[tex]P(J)=\frac{2}{7}[/tex]

The proportion of premises painted by Pedro is:

[tex]P(P)=\frac{5}{14}[/tex]

The proportion of premises painted by Carlos is:

[tex]P(C)=\frac{2}{14}[/tex]

Compute the proportion of premises painted by Mario as follows:

P (M) = 1 - P (J) - P (P) - P (C)

        [tex]=1-\frac{2}{7}-\frac{5}{14}-\frac{2}{14}\\=\frac{14-4-5-2}{14}\\=\frac{3}{14}[/tex]

Thus, the proportion of premises painted by Mario is [tex]\frac{3}{14}[/tex].

Answer:

71% probability that the athlete is either a football player or a basketball player

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that an athlete is a football player.

B is the probability that an athlete is a basketball players.

We have that:

[tex]A = a + (A \cap B)[/tex]

In which a is the probability that an athlete plays football but not basketball and [tex]A \cap B[/tex] is the probability that an athlete plays both these sports.

By the same logic, we have that:

[tex]B = b + (A \cap B)[/tex]

23% of the athletes play both football and basketball.

This means that [tex]A \cap B = 0.23[/tex]

26% are basketball players

This means that [tex]B = 0.26[/tex]. So

[tex]B = b + (A \cap B)[/tex]

[tex]0.26 = b + 0.23[/tex]

[tex]b = 0.03[/tex]

68% of the athletes are football players

This means that [tex]A = 0.68[/tex]. So

[tex]A = a + (A \cap B)[/tex]

[tex]0.68 = a + 0.23[/tex]

[tex]a = 0.45[/tex]

What is the probability that the athlete is either a football player or a basketball player

[tex]A \cup B = a + b + (A \cap B)[/tex]

[tex]A \cup B = 0.45 + 0.03 + 0.23 = 0.71[/tex]

71% probability that the athlete is either a football player or a basketball player

Answer:

71%

Step-by-step explanation:

Applying Venn's diagram

probabilty that an athlete plays either football or basketball

P ( A ∪ B ) = a + b + ( A  ∩ B )  equation 1

note:

P ( A ) = a + ( A ∩ B )

( A ∩ B ) = 23% = 0.23

a = P( A ) -  0.23 = 0.68 - 0.23 = 0.45

P ( B ) = b + ( A ∩ B )

b = P ( B ) - ( A ∩ B ) = 0.26 - 0.23 = 0.03

back to equation 1

P ( A ∪ B ) = 0.45 + 0.03 +( 0.23 )

                 = 0.48 + ( 0.23 ) = 0.71 = 71%

P( A ) = probability of football players

P ( B ) = probability of basketball players

a = probability of playing football but not basketball

b = probabilty of playing basketball but not football

Answer:

60

Step-by-step explanation:

Answer:

Where's the data?

Step-by-step explanation:

Answer:

Option A is correct.

The height of both oblique and right prisms is ALWAYS the perpendicular distance between the bases.

Step-by-step explanation:

Prisms are 3-D shapes that have two parallel faces (called bases) separated at some distance apart (the height of the prism) with the lateral face in between the two parallel bases.

For right prisms, the lateral face is a rectangle while it is a parallelogram for oblique prisms.

The height of a prism is the perpendicular distance between the two bases. In a right prism, the height is a lateral edge as this edge is equal to the perpendicular distance between the two bases.

In the case of the oblique prism, the height is the shortest line segment between the extended bases, the perpendicular distance between the two bases.

So, the height isn't always a length of a lateral edge, isn't always longer than the altitude of the prism and isn't always drawn vertically as the prism sometimes is pictured not resting on its bases, leading to the height drawn horizontally.

So, only option A is totally correct.

Hope this Helps!!!

Answer:

d

Step-by-step explanation:

The two phrases that are equations are 'b = 9' and '7 + 19 = 26' because both have an equals sign, indicating that two expressions are set equal to each other.

An equation is a mathematical statement that asserts the equality of two expressions, and it is characterized by the presence of an equals sign '='. From the given options, the two phrases that qualify as equations are b = 9 and 7 + 19 = 26. These both show a relationship where two expressions are set equal to each other.

The phrase a +9 > 72 is not an equation, but an inequality because it uses a greater than symbol '>' instead of an equals sign. The last option provided seems to be typos or irrelevant content and does not constitute an equation.

Answer:

2513

Step-by-step explanation:

A=πr^2

A=π40^2

A=π x 1600

A=5026

5026÷2=2513

Answer:

its 628

Step-by-step explanation:

Answer: divide it by the number of numbers you added up.

Step-by-step explanation:

For example, let's say you had to find the average of 1, 2, and 3. You add all the numbers up to get 6. Since you had to add 3 numbers together (1, 2, 3) to get 6, you divide 6 by 3 to get the mean/average, which in this case, is 2

To find the average or mean of a set of numbers, add up all the items and divide by how many numbers there are.

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words, it is the sum divided by the count.

The mean, or average, is calculated by adding up the scores and dividing the total by the number of scores.

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Answer:

Each steamer costs $2.5 and each party hat costs $1.5

Step-by-step explanation:

Let the cost of 1 steamer =x

Let the cost of 1 party hat =y

Three rolls of streamers and 15 party hats cost $30

Two rolls of streamers and four party hats for $11.

We solve the two equations simultaneously.

Multiply equation 1 by 2 and equation 2 by 3

6x+30y=60

6x+12y=33

Suntract

18y=27

y=1.5

From 6x+30y=60

6x+30(1.5)=60

6x+45=60

6x=60-45=15

x=2.5

Since x=2.5 and y=1.5

Each steamer costs $2.5 and each party hat costs $1.5

Answer:

each role of streamers cost $2.5

each party hat cost $1.50

Step-by-step explanation:

Let 's' represent rolls of streamers and 'h' represent party hats

Lets form an equation first

=>For three rolls of streamers and 15 party hats cost $30.

3s + 15h = 30

s= (30-15h)/3 ----> eq(1)

=>For 2 rolls of streamers and 4 party hats cost $11.

2s + 4h = 11

s= (11 -4h)/2 ----> eq(2)

Lets equate eq 1 and 2 in order to find 'h'

(30-15h)/3= (11 -4h)/2    ---->(applying cross multiplication)

60 - 30h = 33 - 12h

60-33 = 30h -12h

27 = 18 h

h= 27/18 => 1.50

therefore, each party hat cost $1.50

substitute above value in eq 1

(1)=> s= (30-15h)/3

s= 30-(15  x 1.5) / 3

s= 2.5

Therefore, each role of streamers cost $2.5