There are 25 different dogs that need to be walked. Ashley randomly chooses 5. How many different combinations are there?​

Part A and B are fully answered and explained below.

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon.

Because we are fully given points A and B, as well as the knowledge that ABC is a right triangle, we can assume that point C is the last needed point to form the right angle of this triangle. Meaning, point c has to have one identical coordinate out of (x, y) that is the same from each of our pre-existing coordinates in order to successfully form a right angle.

Due to the fact that we are told that Point C lies on y = 2, we know that it already has an identical 'y'-coordinate as Point A.

We can now decode that the x-coordinate of Point C must be identical to the x-coordinate of Point B, In this case, -2.

We can conclude that point C lies on (-2,2).

If we look at the length of the sides of the triangle, ignoring the hypotenuse, we can see that one is 4 units long and the other is 5 units long.

To find the area of a square the formula is

\(\boxed{\boxed{\bold{A = l \times w \times 0.5}}}\)

Since 4 x 5 = 20 and half of 20 is ten, we know that the final answer will be 10 units.

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b=48

1) Solving for b, we'll proceed this way:

b/4 = 12 Multiply both sides by 4, to eliminate the fraction

b= 48

2) So the answer is b=48

Answer:

step 3

Step-by-step explanation:

4*7=28

Not 26

Answer:

0 = -16t² + 3200 → 16t²= 3200 → t² = 200 → t = 10√2 s ≈ 14 s

The time taken by the skydiver to reach the ground is 14.1 second.

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

Given that, the height of a skydiver jumping out of an airplane is given by n = -16t² + 3200.

Here, n=0

-16t² + 3200=0

-16t²=-3200

t²=200

t=√200

t=14.14

t=14.1 second

Therefore, the time taken by the skydiver to reach the ground is 14.1 second.

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Answer:

x = 40°

y = 30°

Step-by-step explanation:

Given parallelogram ABCD :

∠A = ∠C

3x = 120

x = 120 ÷ 3

∠B + ∠C = 180°

2y + 120 = 180

2y = 180 - 120

2y = 60

y = 60 ÷ 2

Answer:

x = 40°

y = 30°

Step-by-step explanation:

Given the diagram of a parallelogram, where:

∠A = 3x°, ∠B = 2y°, and ∠C = 120°

The given problem also requires us to find the values of x and y.

In reference to the Parallelogram Opposite Angles Theorem, where it states that: if a quadrilateral is a parallelogram, then it will have congruent opposite angles.  In other words, ∠A ≅ ∠C , and ∠B ≅ ∠D.

Hence, we can establish the following equality statement to solve for the value of x:

m∠A = m∠C

3x° =  120°

Divide both sides by 3 to solve for x:

\(\displaystyle\mathsf{\frac{3x^{\circ}}{3}=\:\frac{120^{\circ}}{3}}\)

x = 40°

Therefore, the value of x = 40°.

In order to solve for y, we must refer to the Parallelogram Consecutive Angles Theorem, where it states that if a quadrilateral is a parallelogram, then its consecutive angles are supplementary whose sum add up to 180°.

In the given diagram, ∠A and ∠D, ∠B and ∠C are consecutive angles.  

We can establish the following equation to solve for the value of y:

m∠B + m∠C = 180°

2y° + 120° = 180°

Subtract 120° from both sides:

2y° + 120° - 120° = 180° - 120°

2y° = 60°

Divide both sides by 2 to solve for y:

\(\displaystyle\mathsf{\frac{2y^{\circ}}{2}=\:\frac{60^{\circ}}{2}}\)

y = 30°

Therefore, the value of y = 30°.

-3x + 2 = -7 (given)

-3x = -9 (correct)

-3x/3 = -9/3 (incorrect, correct if -3x/-3 = -9/-3)

x = -3 (incorrect, if -3x/3 then -x = -3 not x = -3. From -x = -3 we need to do -x/-1 and -3/-1 which would be x = 3)

Answer:

in step 3 we forgot the negative sign so it is x=3

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180°.

m<D + m<E + m<F = 180°

4x + 2x + m<F = 180

What is the measure of <F? It's not clear in the post.

60⁰

Step-by-step explanation:

a+120⁰=180⁰(being linear pairs)

or, a=180⁰-120⁰

or, a=60⁰ Answer.

The data suggest that females suffer more from asthma than males.

The null and alternative hypotheses for this problem are:
H0: p1 - p2 = 0; HA: p1 - p2 ≠ 0
The value of the test statistic is 3.7775 and its associated p-value is 0.0002. At the 5% significance level, the conclusion is that we reject the null hypothesis, and therefore we can say that the data suggest that females suffer more from asthma than males.

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The sample mean in random samples of size n from a given population can be considered a random variable because the outcome is unpredictable. (A)

The sample mean is a statistic that is calculated from a sample of data taken from a population. Since the sample is randomly selected, the values of the variables in the sample will vary each time a different sample is taken.

As a result, the sample mean will also vary. The variability in the sample mean is a result of the inherent randomness in the sampling process, making the sample mean a random variable.

In other words, the sample mean is not a fixed value, but a value that is subject to random variation. This variability makes the sample mean a useful tool for making inferences about the population mean.

By understanding the properties of the sample mean as a random variable, we can make probabilistic statements about the population mean based on the sample mean.

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The quadrilateral with coordinates Q(-3,4), R(5,2), S(4,-1), and T(-4,1) is not a rectangle as adjacent sides are not perpendicular to each other.

Coordinates of the quadrilateral QRST are,

Q(-3,4), R(5,2), S(4,-1), and T(-4,1)

Quadrilateral QRST is a rectangle,

All angles are right angles.

Opposite sides are parallel and equal in length.

The slopes of the sides and the lengths of the sides.

Slope of QR

= (2 - 4)/(5 - (-3))

= -2/8

= -1/4

Slope of RS

= (-1 - 2)/(4 - 5)

= -3/-1

= 3

Slope of ST

= (1 - (-1))/(-4 - 4)

= 2/-8

= -1/4

Slope of TQ

= (4 - 1)/(-3 -(-4) )

= 3/1

= 3

Length of QR

=√((5 - (-3))^2 + (2 - 4)^2)

= √(64 + 4)

=√(68)

Length of RS

= √((4 - 5)^2 + (-1 - 2)^2)

= √(1 + 9)

= √(10)

Length of ST

= √((-4 - 4)^2 + (1 - (-1))^2)

= √(64 + 4)

= √(68)

Length of TQ

= √((-3 -(-4))^2 + (4 - 1)^2)

= √(1 + 9)

= √(10)

Slopes of opposite sides are equal .

This implies opposite sides are parallel to each other.

Opposite side lengths are also equal.

But product of the slopes of adjacent sides not equal to -1.

They are not perpendicular to each other.

Therefore, the quadrilateral with given coordinates is not a rectangle.

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The above question is incomplete , the complete question is:

Prove or disprove that the quadrilateral QRST with coordinates Q(-3,4), R(5,2), S(4,-1), and T(-4,1) is a rectangle.

A) the Image distance is -4/3 meters

B) the magnification is -2/3

 Magnification is the   process of increasing the apparent size of something rather than its physical size.

This increase is quantified by  "gain" .     If this number is less than one,   it refers to a decrease in size, sometimes called an increase or  decrease.

Using the lens formula,

1/f = 1/v - 1/u

where f is the focal length

v is the image distance and

u is the object distance.

Given, f = -4m,

u = -2m (since the object is 2m    away from the lens and the lens is diverging, so the object distance is taken as negative)

Substituting  the values ...

1/-4 = 1/v - 1/-2

Simplifying,

-1/4 = 1/v + 1/2

-1/4 - 1/2 = 1/v

-3/4 = 1/v

v = -4/3 m

So  Image distance is -4/3 meters.

B) Using the formula for magnification

magnification = -image distance / object distance

First, we need to find the image distance using the thin lens equation:

1/f = 1/do + 1/di

where f is the focal length, do is the object distance, and di is the image distance.

Plugging in the values:

1/-4 = 1/2 + 1/di

-1/4 - 1/2 = 1/di

-3/4 = 1/di

di = -4/3 m (the negative sign indicates that the image is virtual and upright)

Now, we can find the magnification

magnification = -image distance / object distance

magnification = (-4/3) / 2

= -2/3

So the magnification is -2/3.


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Answer: To use the method of completing the square to solve the quadratic equation x^2 + x + 9 = 0, we can follow these steps:

Move the constant term to the right-hand side of the equation:

x^2 + x = -9

Add the square of half the coefficient of the x-term to both sides of the equation:

x^2 + x + (1/2)^2 = -9 + (1/2)^2

x^2 + x + 1/4 = -35/4

Rewrite the left-hand side as a square:

(x + 1/2)^2 = -35/4 + 1/4

(x + 1/2)^2 = -34/4

Take the square root of both sides:

x + 1/2 = ±sqrt(-34/4)

Solve for x:

x = -1/2 ± sqrt(-34)/2

So the number that needs to be added to "complete the square" is (1/2)^2 = 1/4.

Step-by-step explanation:

Answer:

44 dolls

Step-by-step explanation:

Answer:

Yesterday, Stephy made 36 dolls.

Step-by-step explanation:

1% of 40 is 0.4 so... 10% is 4

Then we can do 40-4 to get 36.

The food percentage would be 19%, 51% and 30%.

Given that we've done it

Number of meals consumed by X = 57

Food consumed by Y = 153.

Number of meals consumed by Z = 90

Total amount of meals consumed = 57 + 153 +90 = 300

Food proportion of flock X thus Equals 57 / 300 * 100 = 19 %

flock food percentage Y =153/300 * 100 = 51 %

flock food percentage Z = 90/300 * 100 = 30 %

This means that the percentages are 19%, 51%, and 30%.

Based on the given information, we have:

Flock X ate 57 pieces of food.

Flock Y ate 153 pieces of food.

Flock Z ate 90 pieces of food.

The total number of pieces of food eaten is 300 (sum of the individual flock's food).

The food percentage for Flock X is 57/300 ≈ 0.19 or 19%.

The food percentage for Flock Y is 153/300 ≈ 0.51 or 51%.

The food percentage for Flock Z is 90/300 = 0.3 or 30%.

The total number of birds for the second generation is 30 (given).

To find the simulated number of birds in each flock for the second generation, we multiply the food percentage for each flock by the total number of birds (30).

For Flock X: 0.19 × 30 = 5.7 (rounded to the nearest whole number: 6 birds)

For Flock Y: 0.51 × 30 = 15.3 (rounded to the nearest whole number: 15 birds)

For Flock Z: 0.3 × 30 = 9 (rounded to the nearest whole number: 9 birds)

Therefore, the simulated number of birds in Flock X, Flock Y, and Flock Z for the second generation are 6, 15, and 9 birds, respectively.

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Complete Question

Flock X Flock Y Flock z Total Pieces of Food Eaten 57 153 90 Food Percentage* % 1% % Simulated Number of Birds in Flock for 2nd Generation ** * Divide each flock's total pieces of food by 300, the total number of pieces of food eaten. ** Multiply the food percentage for each flock by the total number of birds (30). DONE

Answer:

19 51 30

6 15 9

second part Is Y then X

Step-by-step explanation:

Answer:

Option C: 38 is p more than 25

Step-by-step explanation:

the equation 25 + p = 38

can be read as 38 is 25 plus p units, or similarly ;

38 is p units more than 25.

Therefore from the three sentences you are showing, only the last one (option C) is the correct one.

Answer:

Y=3x+2

Graph the line using the slope and y-intercept or two points

Slope: 3 Y-intercept: (0,2)

Point 1: (0,2) Point 2: (1,5)

-4x+2y=8

Graph the line using the slope and y-intercept or two points

Slope: 2 Y-intercept: (0,4)

Point 1: (0,4) Point 2: (1,6)

Answer:

a. Juan

b. J(t) = A(t) at t = 7 minutes

c. J(t) > A(t) for the interval 0 ≤ t ≤ 7

Step-by-step explanation:

a. From the graph, Juan completes the 4-mile bike race in 13 minutes while Antonio completes the 4-mile bike race in 15 minutes, therefore, Juan completes the distance first and wins the race

b. From the graph, the line of the graph of the functions J(t) and A(t) are equal at the time t = 7 minutes

Therefore;

J(t) = A(t) at t = 7 minutes

c. The value of the function, and the line of the graph of the function, J(t) is larger than and above the value and the line of the graph of the function A(t) for the interval 0 ≤ t ≤ 7

The meaning of the y-intercept in the context of the problem is D. The initial value of the investment is $600.

From the information, the growth of the savings plan per year, x, can be represented by the exponential function f(x) = 600(1.04)x.

Here, the meaning of the y-intercept in the context of the problem is the initial value of the investment is $600.

In conclusion, the correct option is D.

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Answer:

1.2

Step-by-step explanation:

divide 6 by 5

Answer:

8/1 or 8 minutes per lap

Step-by-step explanation:

We are given that a tour company charges $35 per person. If the number of persons is "x", then the product of the price per person by the number of people is the cost to pay for the number of people. To this cost we must add the cost of the tour guide, therefore, a function that models the total cost is:

For every person, the company charges $35. Therefore, the cost for x people can be written as 35x.

The company charges another $245 for the tour guide to the additional cost.

We have the final function :
C(x) = 35x + 245.

(a) Probability that next year rainfall will exceed 40 inches is 0.3156.

(b) Probability that in exactly 3 of next 6-years will exceed 40 inches is 0.2015.

Part (a) : To find the probability that next year's rainfall will exceed 40 inches, we calculate the probability of normal random-variable being greater than 40.

First, we standardize the variable by converting it into standard normal distribution with mean of 36 and

The standard-deviation is √70 inches ≈ 8.37 inches,

The standardized variable Z is : (X - μ)/σ,

where X = value we want to standardize, μ = mean, and σ = standard deviation,

Substituting the values,

We get,

Z = (40 - 36)/8.37 ≈ 0.48,

The probability can be calculated as P(Z > 0.48) = 1 - P(Z < 0.48),

= 1 - 0.6844

= 0.3156,

So, probability of next year's rainfall exceeding 40 inches is 0.3156.

Part (b) : The sample-size "n" is = 6,

The probability of exactly in 3 years "rain-fall" exceeds 40 inches is represented as : P(X = 3),

So, P(X = 3) = ⁶C₃× (0.3156)³ × (1 - 0.3156)⁶⁻³,

= 0.2015,

Therefore, the required probability is 0.2015.

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Answer:

$87.20

Step-by-step explanation:

The one above is incorrect, It showed up as wrong for me! The correct answer is $87.20

The sales price of the outfit is $87.2.

The correct option is (2).

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Kendra is buying an outfit that is on sale for 20% off.

The original price of the outfit is $109.

The discount,

= 20% of 109

= 20 x 109 / 100

= 21.8

The sales price,

= 109 - 21.8

= 87.2

Therefore, the price is $87.2.

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Step-by-step explanation:

ab + 3c = 2x

Subtract 3c from both sides

ab = 2x - 3c

Isolate b by dividing by a

b = (2x -3c)/a

Anstoo blurry

Step-by-step explanation:

First, let's take a look at the larger polygon. The topmost side is 7 units long. Now, let's look at the small polygon. The topmost side is 1 unit long.

These polygons differ by a scale factor of 1/7.

7 * (1/7) = 1

49 * (1/7) = 7

Now, we know that x = 7.

The larger polygon has side lengths of 7, 49, 7, 49

The smaller polygon has side lengths of 1, 7, 1, 7

Given:

Apply the laws of exponents:

Apply the properties of imaginary numbers:

Rewrite in standard complex form:

Answer:

Answer:

Principal amount (P) = $10,000

Rate (R) = 1.5%

Time (T) = 4 years

Simple interest, I = P X R X T / 100

= 10000 X 1.5 X 4 /100

= 60000 / 100

= $600

Therefore, Balance = P + I

= 10000 + 600

= $10600

The value of y = -651. To find the value of y when x = -10 and z = 20, given that y varies jointly as x and z and y = 179 when x = -5 and z = -11, follow these steps:

Step 1: Understand that "y varies jointly as x and z" means y = kxz, where k is the constant of variation.

Step 2: Use the given values (y = 179, x = -5, z = -11) to find k. Substitute these values into the equation:
179 = k(-5)(-11)

Step 3: Solve for k:
179 = 55k
k = 179 / 55
k = 3.2545 (rounded to the nearest hundredth)

Step 4: Use the found value of k (3.2545) and the new values of x (-10) and z (20) to find the new value of y:
y = (3.2545) (-10)(20)
Step 5: Calculate y:
y = -651
So, when x = -10 and z = 20, y = -651.

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