PLEASE HELP!!
Solve the right triangle.
Round your answers to the nearest tenth.
A=
a=
c=

Answer:

P(-4,-0.5)

Step-by-step explanation:

First, let's define some ways to measure a line segment on a number line:

Let's apply these methods to solve for the coordinates of point P:

Let the distance between X and P be "d". Think of "d" as the number you'd get when counting the tick marks.

Let the distance between P and Y be "l". Think of "l" as the number you'd get when counting the tick marks.

It is given that P partitions the segment into the ratio 1:5.

\(\frac{d}{l} = \frac{1}{5}\)

∴ \(5d = l\)

Now, set up the equation to find the distance between X and P and P and Y. Let (x,y) be the coordinates for P

(-6,-2) + d = (x,y) . . . . . .  (1)

(x,y) + 5d = (6,7) . . . . . . (2)

Next, substitute (x,y) from equation no. 1 to equation no. 2.

(-6,-2) + d + 5d = (6,7)

(-6,-2) + 6d = (6,7) . . . . . . . add like terms (terms with the same variable)

6d = (6+6, 7+2) . . . . . . . . . add (-6, -2) on both sides

6d = (12,9)

d = (2, 3/2) . . . . . . . . . . . . . divide both sides by 6 to isolate d

Finally, substitute d back into one of the equations and solve for (x,y). I am going to choose equation no.1, but you can also choose equation no.2.

(-6,-2) + d = (x,y)

(-6,-2) + (2,3/2) = (x,y)

-6 + 2 = x

∴ x = -4

-2 + 3/2 = y

∴ - 0.5 = y

∴P(-4,-0.5)

I have also attached my working and the figure of the segment to this response.

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In mathematics, a number is a quantity that represents a magnitude or size. Numbers can be used to measure, count, label, and represent values in a variety of contexts.

There are different types of numbers in mathematics, including:

Natural numbers: These are the counting numbers, starting from 1 and going up infinitely (1, 2, 3, 4, 5, ...).

Whole numbers: These are the natural numbers together with 0 (0, 1, 2, 3, 4, ...).

Integers: These are the whole numbers together with their negative counterparts (-3, -2, -1, 0, 1, 2, 3, ...).

Rational numbers: These are numbers that can be expressed as a ratio of two integers, such as 3/4, -2/5, or 7/1.

Irrational numbers: These are numbers that cannot be expressed as a ratio of two integers, such as π (pi) or √2 (the square root of 2).

Real numbers: These are all the rational and irrational numbers together.

Complex numbers: These are numbers of the form a + bi, where a and b are real numbers and i is the imaginary unit (i.e., the square root of -1).

So, "number" is a general term in mathematics that refers to a wide range of quantities and types of values.

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Answer:

The answer is C. 68 miles

Answer:

C. 68 miles

Step-by-step explanation:

Speed at which Tom is riding = 16mph

Speed at which Juanita is riding = 18mph

Distance traveled by Tom in 2 hours = (speed x time) = 16 x 2 = 32 miles

Distance traveled by Juanita in 2 hours = (speed x time) = 18 x 2 = 36 miles

Total distance between them = 36 + 32 = 68 miles

So after 2 hours they are 68 miles apart.

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Answer:

x=18

Step-by-step explanation:

21:28=x:24

1. rewrite: 21/28 = x/24

2. simplify: 3/4=x/24

3. multiply 24 to both sides: x=18

Answer:

g(x) = - (x+1)^2 +2

Step-by-step explanation:

1. Shifting up 2 units is y = x^2 + 2

2. Shifting to the left is y = (x + 1)^2

3. Rotating 180 degrees is just flipping the x-axis which means the whole equation becomes negative, y = -x^2

4. Therefore if you add it all up it becomes y = - (x+1)^2 +2

An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

< 5 + < 6 = 180°

Step-by-step explanation:

The sum of angles 5 and 6 are 180° because they are adjacent supplementary angles--they have a common arm and a common vertex. The adjacent supplementary angles share the common line segment and vertex with each other. Two angles are also supplementary, if one of its angles is an acute angle and another angle is an obtuse angle. These characteristics match the given figure.

Therefore, < 5 and < 6 are supplementary angles, and have a sum of 180°.

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X=49°

Step-by-step explanation:

we have an isosceles triangle

thus our equation is

x+x+82=180°

=>2x+82°=180°

cancel 82 from both sides

=>2x=98

divide both sides by 2

therefore

X=49

Part A: Solve the inequality, showing all necessary steps:

The solution to the inequality |1/4x - 3| - 5 > 4 is x < -24 or x > 48.

Part B: Describe the graph of the solution:

The graph consists of two disjoint intervals on the number line, one to the left of -24 and one to the right of 48, representing the values of x that satisfy the inequality.

Part A: Solve the inequality, showing all necessary steps:

Given: |1/4x - 3| - 5 > 4

Add 5 to both sides of the inequality:

|1/4x - 3| > 9

Split the inequality into two cases:

Case 1: 1/4x - 3 > 9

Case 2: 1/4x - 3 < -9

For Case 1:

Add 3 to both sides:

1/4x > 12

Multiply both sides by 4 to isolate x:

x > 48

For Case 2:

Add 3 to both sides:

1/4x < -6

Multiply both sides by 4 to isolate x:

x < -24

Therefore, the solution to the inequality |1/4x - 3| - 5 > 4 is:

x < -24 or x > 48.

Part B: Describe the graph of the solution:

The graph of the solution consists of two separate regions on the number line.

To the left of -24, all values of x satisfy the inequality, and to the right of 48, all values of x also satisfy the inequality.

However, the values between -24 and 48 do not satisfy the inequality. The graph would include an open circle at -24 and an open circle at 48 to indicate that those values are not included in the solution.

The shaded regions on the number line would be to the left of -24 and to the right of 48, representing the values of x that satisfy the inequality.

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Answer:

a) "3y-1" is not a linear equation because it is missing an equal sign. It is just an expression.

b) "x²+1=5" is not a linear equation because it contains a squared term.

c) "y<7" is not an equation at all. It is an inequality.

d) "6y+1=0" is a linear equation because it can be written in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is -6/1 and the y-intercept is 1/6.

It will take 3 years  for the population to reach 1000 for the exponential model given by P( t ) = 500e0.25t

Exponential growth could be a handle that increments the amount over time. It occurs when the immediate rate of altering i.e the derivative of an amount with regard to time is proportional to the quantity itself. for the given model  P( t ) = 500\(e^{0.25t}\),  for p(t)= 1000

=>1000=   500e0.25t,  dividing both sides by 500 we get,

=> 1000/500 =  e0.25t

Taking log both sides, we get

=> ln(2) =  0.25t

=>t =  ln(2)/0.25 = 0.693/0.25 =2.772, which almost 3

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A population is growing according to the exponential model given by P( t ) = 500e\(e^{.25t}\), where t is measured in years. How many years will it take for the population to reach 1000? (Round your answer to one decimal place.

Boeing takes 29,454 hours to produce the fifth 787 jet. With an 80% learning factor, the time required for the production of the eleventh 787 is approximately 66,097 hours.

To calculate the time required for the production of the eleventh 787 jet, we can use the learning curve formula:

T₂ = T₁ × (N₂/N₁)^b

Where:

T₂ is the time required for the second unit (eleventh in this case)

T₁ is the time required for the first unit (fifth in this case)

N₂ is the quantity of the second unit (11 in this case)

N₁ is the quantity of the first unit (5 in this case)

b is the learning curve exponent (log(1/LF) / log(2))

Given that T₁ = 29,454 hours and LF (learning factor) = 80% = 0.8, we can calculate b:

b = log(1/LF) / log(2)

b = log(1/0.8) / log(2)

b ≈ -0.3219 / -0.3010

b ≈ 1.0696

Now, substituting the given values into the formula:

T₂ = 29,454 × (11/5)^1.0696

Calculating this expression, we find:

T₂ ≈ 29,454 × (2.2)^1.0696

T₂ ≈ 29,454 × 2.2422

T₂ ≈ 66,096.95

Rounding the result to the nearest whole number, the time required for the production of the eleventh 787 jet is approximately 66,097 hours.

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The probability of the spinner landing on 5 is 1/8.

What is probability?

The probability of an event is a number from 0 to 1 that shows the likelihood of that event happening. If an event is unlikely to happen, its probability is closer to 0. If an event is certain to happen, its probability is closer to 1.A fraction, a decimal, or a percentage can all be used to express probability.

Probability is most commonly expressed as a fraction.Likewise, the probability of the spinner landing on 5 is determined by dividing the number of favorable outcomes by the total number of outcomes.A spinner is divided into 8 equal sections, and each section contains a number from 1 to 8.

What is the probability of the spinner landing on 5?

The total number of outcomes is the same as the number of sections on the spinner, which is 8. The number of favorable outcomes is 1, which is the section with the number 5.

Therefore, the probability of the spinner landing on 5 is 1/8.

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Answer:

Answer:

Coin A:

10:$46.18

20:$96.74

30:$190.31

60:$1448.66

Coin B

10:$65.16

20:$106.13

30:$172.88

60:$466.98

Coin C

10:$88.81

20:$131.47

30:$194.60

60:$631.18

Step-by-step explanation:

I think these are right. I've rounded the answers to the nearest 10th place.

Answer:

look up

Step-by-step explanation:

AND GIVE HIM BRAINLIEST HE DESERVES IT!

Answer:

\( \sqrt[3]{1000} = 10\)

So the radius of the sphere is 10/2 = 5 inches.

The volume of this sphere is

(4/3)π(5³) = 500π/3 cubic inches.

Answer:

x = 11

Step-by-step explanation:

We know that the answer we will get will be the same as BD because BD and AC are congrudent, meaning that they are exactly equal shape and size. To find 'x' our equation would be: 29 = 3x - 4. To figure this out we just add 29 and 4 which gives us 33 and then divide that by 3 which gives us 11 (our answer)

If you are having either soup or salad, you have 7 choices in total (2 kinds of soup + 5 kinds of salad). If you are having both soup and salad, you have 10 choices in total (2 kinds of soup x 5 kinds of salad).

(a) If you are having either soup or salad, you have two choices of soup and five choices of salad. To find the total choices, add the two options together:
2 (soups) + 5 (salads) = 7 choices

(b) If you are having both soup and salad, you need to find the combinations of soup and salad. To do this, multiply the number of soups by the number of salads:
2 (soups) x 5 (salads) = 10 choices

So, you have 7 choices for either soup or salad, and 10 choices for both soup and salad.

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Answer:

b

Step-by-step explanation:

Answer:

a is most likely to be the answer

Step-by-step explanation:

200% = 2

5/2=2.5

We will see that the largest number is 9/12, and Russ ate 9/12 of his pizza, so he is the one that ate most of his pizza.

Here we know that:

So we just need to see which of the given numbers is the largest one.

We can rewrite the fractions as:

2/3 = 0.66

3/5 = 0.6

9/12 = 3/4 = 0.75

The largest number is 0.75, in this way we conclude that Russ is the one that ate more pizza.

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Answer:

The percentage of the students who have grade point averages that are no more than 1.82 is 2.5%

Step-by-step explanation:

The empirical rule states that for a normal distribution, 68% of the distribution are within one standard deviation from the mean, 95% are within two standard deviations from the mean and 99.7% are within three standard deviations from the mean.

Given that:

Mean (μ) = 2.62, Standard deviation (σ) = 0.4

68% are within one standard deviation = μ ± σ = 2.62 ± 0.4 = (2.22, 3.02)

95% are within two standard deviations = μ ± 2σ = 2.62 ± 2(0.4) = (1.82, 3.42)

The percentage of the students have grade point averages that are no more than 1.82 is 100% - [95% + (100% - 95%)/2] = 100% - 97.5% = 2.5%

Answer:

Angles are 60 , 48 , 72

Step-by-step explanation:

Third angle = \(\frac{2}{3}\) of right angle

                   \(=\frac{2}{3}*90\\\\=2*30\\\\= 60\)

Ratio of two angles = 2 : 3

The two angles are 2x , 3x

2x + 3x + 60 = 180  {Angle sum property of triangle}

       5x + 60 = 180    {Subtract 60 from both sides}

             5x = 180 - 60

              5x = 120

                x = 120/5

x = 24

2x = 2* 24 = 48

3x = 3*24 = 72

Let the angles be 2x, 3x and (2/3)×90

ATQ

2x + 3x + (2/3)×90 = 180

5x + 60 = 180

5x = 180 - 60

x = 120/5

x = 24

Therefore the angles are

48, 72 and 60 respectively

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The determinant of 2A^2 if A is 3 × 3 and det(A)=4 is 128.

The Determinant of a matrix when multiplied with any constant is the determinant of the matrix without that constant multiplied to the nth power of the constant, where n is the rank of the matrix.

So, Det(2A²) can be written as 2³× Det(A²)

and we also know if the dimensions of the matrices are the same Det(A × B) is the same as Det(A) × Det(B)

so, further, we can write

Det(2A²)=2³× Det(A)× Det(A)

Also its given that Det(A) = 4

so, putting the value of the given we get,

Det(2A²)=2³× 4 × 4

i.e. Det(2A²) = 128

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a) The list of possible outcomes for white and black are shown

b) The number of outcomes that given one white and one black are: two outcomes.

c) The sample space diagram is:

B, B | B, W

W, B | W, W

A sample space is a collection or set of possible outcomes from a random experiment. The sample chamber is denoted by the symbol 'S'. A subset of the possible outcomes of an experiment are called events. A sample room can contain a set of results according to an experiment.  

a) Under spinner to column, the list of possible outcomes are respectively:

White

Black

White

Under outcomes column, the list of possible outcomes are respectively:

B, W

W, B

W, W

b) From the table, we can conclude that the number of outcomes that given one white and one black are two outcomes.

c) The sample space diagram will be:

B, B | B, W

W, B | W, W

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Answer:

10 and 1 A

3 and one-half B

1 + one-half =1 and one-half C

Step-by-step explanation:

The expression {8/10 + 2/6} is equivalent to 17/15.

Given is the expression as -

8/10 + 2/6

The given expression is -

8/10 + 2/6

(2 x 4)/(2 x 5) + (2 x 1)/(2 x 3)

4/5 + 1/3

(12 + 5)/15

17/15

Therefore, the expression {8/10 + 2/6} is equivalent to 17/15.

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The equivalent expression after distributing the "-" sign outside the parenthesis is -10n + 9.1p - 3.4.

When we distribute the negative sign outside the parenthesis in the expression -(10n - 9.1p) - 3.4, we apply the distributive property, which states that multiplying a negative sign to a set of terms inside the parenthesis affects the signs of each term.

In this case, we have a negative sign in front of the parenthesis, so we need to change the signs of each term within the parenthesis. Let's break it down step by step:

1. Distribute the negative sign to the first term inside the parenthesis, which is 10n. Since we have a negative sign in front, it becomes -10n.

2. Distribute the negative sign to the second term inside the parenthesis, which is -9.1p. The negative sign in front changes the sign to positive, so it becomes 9.1p.

After distributing the negative sign to each term inside the parenthesis, we obtain:

-10n + 9.1p

Lastly, we subtract the remaining term outside the parenthesis, which is -3.4:

-10n + 9.1p - 3.4

Thus, this expression, -10n + 9.1p - 3.4, is the result of distributing the negative sign outside the parenthesis and changing the signs of the terms inside.

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Answer:

Acute angle

Step-by-step explanation:

Angles smaller than 90 degrees are acute

hope it helps :)

Answer:

8

Step-by-step explanation:

take the number of people in the audience and multiply by the percent that have green eyes to determine the number with green eyes

80 * 10 %

Change to decimal form

80 *.10

8

Answer:

so, as given 10% have green eyes,

10% of 80

10/100×80

800/100

=8

so 8 people have green eyes

Answer:

500000000

Step-by-step explanation:

Because you have to do those and then after you divided it took those zeros and made them longer since they are already positive.