there are 175 total balloons the ratio of gold to silver balloons is 3:2 how many balloons are gold out of the 175 balloons

The coordinates of point P are (39/7,-2/7), and point Q is the same as point P.

Given equations are,

\(2x - 3y = 12---(1)\)

\(x + 2y = 5---(2)\)

Let's use the method of substitution:

\(x = 5 - 2y---(3)\)

Substitute the value of x in Equation 1.

\(2(5 - 2y) - 3y = 12\)

Solve the equation for y.

\(10 - 4y - 3y = 12\)

\(- 7y = 2\)

\(y = - 2/7\)

Substitute the value of y in equation 2.

\(x+ 2(- 2/7) = 5\)

\(x - 4/7 = 5\)

\(x = 5 + 4/7\)

\(x = 39/7\)

Therefore, intersection point P and point Q coordinates are (39/7, - 2/7).

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Answer:

D

Step-by-step explanation:

Given Δ ABC is similar to Δ DEF then the ratios of corresponding sides are in proportion, that is

\(\frac{EF}{BC}\) = \(\frac{DE}{AB}\) , substitute values

\(\frac{x}{42}\) = \(\frac{5}{30}\) ( cross- multiply )

30x = 5 × 42 = 210 ( divide both sides by 30 )

x = 7

The ratio remains same

\(\\ \sf\dashrightarrow \dfrac{5}{x}=\dfrac{30}{42}\)

\(\\ \sf\dashrightarrow \dfrac{5}{x}=\dfrac{15}{21}\)

\(\\ \sf\dashrightarrow 15x=105\)

\(\\ \sf\dashrightarrow x=7\)

The height of the tree is approximately 28.87 m.

The height of a tree but cannot measure it directly.

You stand 50 m from the tree and determine that the line of sight from the ground to the top of the tree makes an angle of 30° with the ground.

Here is a diagram for the problem:

[asy]unitsize(0.1cm);  

pair A,B,C;  

B = (0,0);  

A = (50,0);  

C = (50,tan(60));  

draw(B--C--A--C);  

draw(rightanglemark(B,C,A,90));  

\(0.7954=\frac{x}{6}\)

x = 0.7954 × 6 = 4.7724

y = \(\frac{4.7724}{0.6225}\) = 7.6665

Computation: In the diagram, we can see that the height of the tree is given by "h".

And the angle between the line of sight and the ground is given by 30°.

The distance between the tree and the person is given by 50m.

From the diagram, we can see that the height of the tree, h can be represented as follows:tan(30°)

= opp/adj= h/50

Solving for h, we get:

h = 50 * tan(30°)h = 28.87 m

Height of the tree =4.7724+7.6665

= 12.4389

= 12.44 m.

Height of the tree at which it is broken =4.77 m.

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Using the values provided and a derivative of the cone's volume formula, the result is 0.059 feet per minute.

In mathematics, the rate at which a function changes in relation to a variable.

A cone is a three-dimensional geometric structure that has a smooth transition from a flat base that is typically circular to the point at the top, which is also referred to as the apex or vertex.

The formula for cone volume is:

V=πr2h/3

yields the formula for cone volume:

dv/dt = 2r * h/3 * dr/dt dV/dt = 3 r=2 h=12

dr/dt = 0.059 feet per minute.

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Answer:

Step-by-step explanation:

You would find your answer by dividing

19.50/3.25 = 6 family members over 3 years old

If you take $100 out of your piggy bank and deposit it in your checking account, M1 would not change.

M1 includes currency, demand deposits, traveler's checks, and other checkable deposits. When you move the $100 from the piggy bank to your checking account, you are essentially converting one form of demand deposit (currency) into another form (checking account deposit), which does not affect the overall M1.

However, M2 would increase by $100. M2 includes M1 and several types of near-money, such as savings deposits, money market funds, and small time deposits.

When you deposit the $100 in your checking account, the bank may choose to use a portion of that deposit to create new loans. These loans increase the money supply in the economy,

which in turn increases M2. Thus, while the act of moving money from a piggy bank to a checking account does not directly affect M1, it indirectly affects M2 by increasing the potential for new loans and money creation by the banks.

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Answer:

12

Step-by-step explanation:

Mode is the number that shows up the most in a data set.

The numbers: 8, 6, 12, 5, 15, 12, 3, 10, 9

Number 12 shows up the most in the list, so the mode is 12.

Answer:

Doesn't factor

Step-by-step explanation:

\(m^2+4m-2\)

Factor

___________

Assuming you want m factored, you can follow a rule I use. Find two numbers that multiply to c (in this case -2), and use the same two numbers to add them to equal b (in this case 4).

m^2 + 4m - 2

There are no numbers that can do this, therefore this is unfactorable.

Answer:

A)

1.

Statement is - Vegetables are good for your health.

Let P - There are Vegetables , Q - they are good for health

Conditional statement is -If there are Vegetables , then they are good for the health.

Inverse Statement is - If there are no Vegetables, then they are not good for health.

Converse statement - If they are good for health , then they are vegetables.

Contra-positive statement - If they are not good for health , then they are not vegetables.

2.

Statement is - 3x + 8 = 14, x = 2

Let P - 3x + 8 = 14 , Q - x = 2

Conditional statement is -If 3x + 8 = 14 , then x = 2.

Inverse Statement is - If 3x + 8 ≠ 14 , then x ≠ 2.

Converse statement - If x = 2 , then 3x + 8 = 14

Contra-positive statement - If x ≠ 2 , then 3x + 8 ≠ 14

3.

Statement is - A right triangle has a 90° angle.

Let P - Triangle has a 90° angle , Q - It is right triangle .

Conditional statement is -If Triangle has a 90° angle , then It is right triangle.

Inverse Statement is - If Triangle has not a 90° angle , then It is not right triangle.

Converse statement - If It is right triangle , then Triangle has a 90° angle.

Contra-positive statement - If It is not a right triangle  , then Triangle has not a 90° angle.

4.

Statement is - An eagle is a bird .

Let P - It is an eagle  , Q - It is a bird

Conditional Statement - If it is an eagle , then it is a bird.

Inverse statement - If it is not eagle , then it is not bird.

Converse statement - If it is a bird , then it is an eagle.

Contra-positive statement - If it is not a bird , then it is not an eagle.

5.

Statement is - A whale is a mammal

Let  P - It is a whale , Q - It is a mammal

Conditional Statement - If it is a whale , then it is a mammal.

Inverse statement - If it is not whale , then it is not mammal.

Converse statement - If it is a mammal , then it is a whale.

Contra-positive statement - If it is not a mammal , then it is not a whale.

6.

Statement is - Two circle with equal diameters are congruent

Let  P - Two circles have equal diameters , Q - They are congruent

Conditional Statement - If Two circles have equal diameters , then they are congruent.

Inverse statement - If two circles have not equal diameters , then they are not congruent.

Converse statement - If two circles are congruent , then they have equal diameters.

Contra-positive statement - If two circles are not congruent , then they have not equal diameters.

7.

Statement is - An angle that measures between 90 and 180 degrees is obtuse  angle

Let  P - An angle that measures between 90 and 180 degrees , Q - They are obtuse angle.

Conditional Statement - If An angle that measures between 90 and 180 degrees , then they are obtuse angle.

Inverse statement - If An angle that does not measures between 90 and 180 degrees , then they are not obtuse angle.

Converse statement - If an angle is obtuse angle , then that angle measures between 90 and 180 degrees.

Contra-positive statement - If an angle is not an obtuse angle , then that angle does not measures between 90 and 180 degrees.

8.

Statement is - Two planes with no common point are parallel.

Let P - Two planes have no common point , Q - they are parallel.

Conditional Statement - If Two planes have no common point , then they are parallel.

Inverse statement - If two planes have common point , then they are not parallel.

Converse statement - If two planes are parallel, then they have no common point.

Contra-positive statement - If two planes are not parallel, then they have common point.

9.

Statement is - Carrot is rich in Vitamin A.

Let P -  There are carrots , Q - they are rich in Vitamin A

Conditional statement is -If There are carrots , then they are rich in Vitamin A.

Inverse Statement is - If there are no carrots , then they are not rich in Vitamin A.

Converse statement - If they are rich in Vitamin A , then they are carrots

Contra-positive statement - If they are not rich in Vitamin A , then they are not carrots.

10.

Statement is - All reptiles have scales.

Let  P - All are reptiles , Q - they all have scales.

Conditional statement - If all are reptiles , then they all have scales.

Inverse statement - If all are not reptiles , they have no scales.

Converse statement - If all have scales , then all are reptiles.

Contra-positive statement - If all have no scales , then they all are not reptiles.

B)

1. Both the conditional and converse  statements are true.

Bi-conditional statement - There are vegetables if and only if they are good in health.

3. Both the conditional and converse  statements are true.

Bi-conditional statement - A triangle has a 90° angle if and only if it is a right triangle.

6. Both the conditional and converse  statements are true.

Bi-conditional statement - Two circle are equal diameter if and only if they are congruent.

7. Both the conditional and converse  statements are true.

Bi-conditional statement - An angle that measures between 90 and 180 degrees if and only if it is an  obtuse  angle.

8. Both the conditional and converse  statements are true.

Bi-conditional statement - Two planes has no common point if and only if they are parallel.

your ans is here........

Answer:

Step-by-step explanation:

1) If you really meant X^2+12=40, then this simplifies to x^2 = 28, and therefore x = ±√28, or x = ±2√7.

2) If you meant X^2+12x=40:

a) Take half of the coefficient of x:  that would be (1/2)(12), or 6.  

b) Square this result, obtaining:  6² = 36

c) Add this 36 to x^2 + 12x + 40, and then subtract it:  We get:  

x² + 12x + 36 - 36 = 40, or x² + 12x + 36 = 76

We have to add 36, as indicated above, to "complete the square."

Answer: 4s place

Also could you mark my answer as brainliest? It helps and doesnt hurt

Answer:

C. P = 30

Step-by-step explanation:

Parallelogram opposite (or parallel) sides are equal,

so:

2x = x + 2

5y - 9 = 2y + 3

For x:

2x = x + 2

2x - x = 2

x = 2

For y:

5y - 9 = 2y + 3

5y - 2y = 3 + 9

3y = 12

y = 4

the smallest sides are equal 2x and x + 2 => 2 * 2 = 4

the biggest sides are equal 5y - 9 and 2y + 3 => 2 * 4 + 3 = 11

P = 2 * (a + b)

P = 2 * (4 + 11)

P = 2 * 15

P = 30

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.

To rationalize the denominator 1/7 + 3√2,

A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.

Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.

Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).

Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).

Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!

The final answer is (1 + 21√2)/(21√2).

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.

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Answer:

3x+1 is the correct answer

Answer:

3x + 1

Step-by-step explanation:

                       3x + 1          

x - 5     I 3x² - 14x - 5                   3x²÷x = 3x; (x-5)*3x = 3x² - 15x

              3x² - 15x                          Subtract

             -       +      

               0  +  x   - 5                       x ÷x = 1 ;  (x -5)*1 = x - 5

                       x   - 5                      Subtract

                     -     +    

                          0    

Questiobn Translate and solve: 46 less than y is at least-184. Give your answer in interval notation.

Algebraic expression is equal to

Solve for y

Answer: (1, -2)

Concept:

There are three general ways to solve the system of equations:

Here, we are going to use the elimination method to solve.

Solve:

Given

\(\left \{ {{y=-5x+3} \atop {2x-3y=8}} \right.\)

Convert the first equation's arrangement to correlate with the second equation

\(\left \{ {{5x + y=3} \atop {2x-3y=8}} \right.\)

Multiply 3 on both sides in the first equation

\(\left \{ {{15x + 3y=9} \atop {2x-3y=8}} \right.\)

Eliminate [y] by adding the two equations

\(17x = 17\)

Divide both sides by 17

\(17x / 17=17/17\)

\(x=1\)

\(y=-5x+3=-5(1)+3=-5+3=-2\)

\((1, -2)\)

Hope this helps!! :)

Please let me know if you have any questions

The angle in radians between the vectors a = (-3, 3, 10) and b = (3, -10, 4) is 1.89 radians (rounded to two decimal places) which is calculated using the dot product formula.

To find the angle between two vectors, we can use the dot product formula which is given by: a · b = ||a|| ||b|| cosθwhere a and b are the vectors, ||a|| and ||b|| are the magnitudes of vectors a and b respectively, and θ is the angle between them.

In order to find the angle between the given vectors, we need to calculate the dot product of vectors a and b and their magnitudes. The magnitudes can be found using the formula:||a|| = √(a1² + a2² + a3²)||b|| = √(b1² + b2² + b3²)where a1, a2, a3 are the components of vector a and b1, b2, b3 are the components of vector b.

Using the formulas above, we get: ||a|| = √((-3)² + 3² + 10²) = √118||b|| = √(3² + (-10)² + 4²) = √125. To calculate the dot product, we need to multiply corresponding components of the two vectors and then add them up: a · b = (-3)(3) + (3)(-10) + (10)(4) = -9 - 30 + 40 = 1

Finally, we can substitute the values we calculated into the dot product formula to get:1 = √118 √125 cosθcosθ = 1 / (√118 √125)θ = cos⁻¹(1 / (√118 √125)) = 1.89 radians (rounded to two decimal places). Therefore, the angle in radians between the vectors a = (-3, 3, 10) and b = (3, -10, 4) is 1.89 radians.

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Answer:

0.9/3=0.3 First one

Step-by-step explanation:

0.9/3=0.3

The boxes are being divided into 3 equal parts and each section has 0.30 squares

Answer:

The answer is A: 0.9÷3=0.3

Step-by-step explanation:

The boxes are equally divided into thirds

Answer:

676.7

Step-by-step explanation:

Common standard form:

6.7(101) = 676.7

Standard form referring to scientific notation (if you're from Europe):

676.7 = 6.767 * 10^2

\((\stackrel{x_1}{-2}~,~\stackrel{y_1}{-14})\qquad (\stackrel{x_2}{h}~,~\stackrel{y_2}{28}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{28}-\stackrel{y1}{(-14)}}}{\underset{run} {\underset{x_2}{h}-\underset{x_1}{(-2)}}} \implies \cfrac{28 +14}{h +2}~~ = ~~\text{\LARGE 6}\implies \cfrac{42}{h+2}=6 \\\\\\ 42=6h+12\implies 30=6h\implies \cfrac{30}{6}=h\implies \boxed{5=h}\)

Answer:

Mean: 16.6 | Median: 17 | Mode: 17

Step-by-step explanation:

Geometric sequence

an = a1 r ^(n-1)

____________________

f(n)=1/2*4^n, n≥0

in this case a1= 1/2

r = 4

n= 0 (you just replace n)

f( 0 )=1/2*4^0

f(0) = 1/2 =1/ 2

n f(n)

0 f(0) = 1/ 2 f( 0 )=1/2*4^0

1 f(1) = 2 f( 0 )=1/2*4^2 = 4/2

2 f(2) = 8 f( 0 )=1/2*4^2 = 16/2

3 f(3) = 32 f( 0 )=1/2*4^2 =64/2

4 f(4) = 128 f( 0 )=1/2*4^2 = 256/2

Answer:

25cm

Step-by-step explanation:

first find the perimeter of the dmaller triangle. perimeter=add all sides

3+5+7=15cm

15cm=⅜

? = ⅝ (cross multiply)

15cm×⅝×8/3=25cm

perimeter of the larger triangle is 25cm

Answer:

156cm squared. It is the only reasonable one

Step-by-step explanation:

The only cardinal number whose letters are in alphabetical order in English is "forty". This word meets the criteria because its letters appear in alphabetical order: "f", "o", "r", "t", "y".
To find the cardinal number with letters in alphabetical order, we need to examine each number individually. Starting from zero, we can see that "zero" does not have letters in alphabetical order. Similarly, "one" and "two" do not meet the criteria. The word "three" has letters in alphabetical order, but it is not a cardinal number. Continuing our search, we find that "forty" is the first and only cardinal number where the letters are arranged in alphabetical order.
In English, the only cardinal number whose letters are in alphabetical order is "forty".

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To find the remainder in the Taylor series centered at a=0 for f(x)=e^(-x), we start by finding the nth derivative of f(x). Differentiating f(x) repeatedly, we observe that f^n(x) = (-1)^n * e^(-x).

The formula for the remainder in the Taylor series is given by R_n(x) = (f^(n+1)(c) * (x-a)^(n+1))/(n+1)!, where c is some value between x and a.

For our function, f^(n+1)(x) = (-1)^(n+1) * e^(-x), so the remainder becomes R_n(x) = (-1)^(n+1) * e^(-c) * (x-0)^(n+1)/(n+1)!

To find a bound for |R_n(x)| that does not depend on c, we can use the fact that e^(-c) is always less than or equal to 1. Therefore, we have |R_n(x)| ≤ (x)^(n+1)/(n+1)!.

Based on this, the correct answer is A. |R_n(x)| ≥ 1/(n+1)!(x-θ)^(n+1), where θ is some value between x and 0.

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Answer:

1. discriminate = 120

2. 3 times

im not sure about my answers please correct me if im wrong

Answer:

discrimnant: 120

2

Step-by-step explanation: