A person chooses 2 gumdrops from a jar containing only 4 gumdrops. The gumdrops are flavored apple, peach, grape, andstrawberry. Find the set representing the event E that the strawberry is chosen first.

The exponential decay formula is:

where y is the final cost, a is the initial cost, r is the annual decreasing rate (as a decimal), and t is the time in years.

Substituting with a = $60, r = 0.09, and t = 3 years, we get:

It will cost $45.21 in 3 years

SOLUTION:

Step 1 :

In this question, we are asked to solve the equation:

Step 2 :

Now, taking the exponents of both sides, we have that:

We have to find the amount of money raised by all three schools.

The first school: EON, raised $286.00

The second school: Hackett raised $192.84

The third school: Myers raised $113.25 more than Hackett

To calculate the amount that the third school raised, we add $113.25 to the amount that the second school raised $192.84:

Myers raised $306.09

Finally, we add the money that the three schools raised to find the total:

The total amount of money raised was $784.93

Answer:

$784.93

Answer:

True is the correct answer for this

Answer:

C

Step-by-step explanation:

x²+5x=-6

Collect like terms

x²+5x+6=0

Factors that when multiplied will give us 6 and when added will give us 5 are 2 and 3.

Therefore,

x²+5x+6=0

x²+2x+3x+6=0

Factorizing;

x(x+2)+3(x+2)=0

Pick one (x+2)

(x+2)(x+3)=0

x+2=0 x+3=0

x=2 and x=3

Let's call A the initial amount of water, in liters, in that barrel.

After y liters were spilled, the amount left was

A - y

Then, after 6 liters were added, the final remaining amount was given by:

A - y + 6

Now, since x liters remain, we have:

x = A - y + 6

Therefore, if we can find the expression for the initial amount of water, in liters, by isolating A in that equation:

x = A - y + 6

x + y = A + 6

x + y - 6 = A

A = x + y - 6

Thus, the initial amount of water was (x + y - 6) liters.

We have the following:

solving for x:

Therefore, the system has no solution

Answer: c to the power of 25

Step-by-step explanation: c can stay on its on 5 squared is 25 so the answer is c *25

The elevation of Melina when she descends by 500 feet is 1500 feet.

An elevation simply means the height above a particular place. It is usually referenced as the sea level.

In this situation, Melina is hiking and is at en elevation of 2000 feet. If she descends by 500 feet. It should be noted that since she descend, we will have to subtract 500 from the initial value that was given as 2000. feet.

Therefore, the calculation will be illustrated through subtraction. This will be:

= 2000 - 500

= 1500 feet.

This implies that when Melina descends, the elevation that she'll be at that point in time is 1500 feet.

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Usa la ley de seno para hallar la medida del angulo B:

Como la suma de los angulos interiores de un triangulo siempre es 180°, usa la medida del angulo A y angulo B para hallar la medida del angulo C:

Usa la ley de seno para hallar la medida del lado c:

Entonces, las medidas que tenias que hallar so;

B=21.55°

C=122.45°

c=11.48

The figure given in the question is a composite figure, meaning that it comprises two different figures

The volume of the composite figure can be found as follow

The two figures are:

Cylinder and sphere.

To solve this, we will first find the area of a cylinder

So, we will have

Then, we will find the volume of the sphere

Thus, the volume of the sphere will be

Thus, the total volume will be

The volume is:

The answer is 544cm³

Considering the given scatter plot, it is found that:

a. The correlation coefficient is of 0.303.

b. Regarding the residuals, there are six positive and four negative.

c. The point with the largest residual is (6,2), which is the point in which the largest difference between the predicted and the actual value were found.

The correlation coefficient is gotten by selecting the points (x,y) from the scatter plot, and inserting them into a calculator.

The coordinates of these points from the given plot are;

(1,2), (1,3), (2,4), (3,4), (3,5), (4,3), (4,5), (5,5), (5,6), (6,2).

Punching these points into a calculator, gives the coefficient as 0.303.

A residual is calculated as the difference that is gotten between the observed value and the predicted value. Thus;

The positive residuals are defined as the points that exists above the line and in this given plot we have  six positive residuals.

The negative residuals are the points that exists below the line, and in this plot, we have four negative residuals.

Hence the largest residual, with the aid of  absolute value, is at the point:

(6,2).

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The SAS triangle congruence postulate proves that these triangles are congruent .

Given,

In the figure,

There are two triangles ABC and Triangle XYZ

Now, According to the question:

Consider the triangle ABC and triangle XYZ .

we can see that

(i) angle C = angle Z          .....given in the figure

(iii) side AC = side XZ         .... given in the figure

(ii) side BC = side ZY          ....given in the figure

From the above three statements we conclude that

ΔABC ≅ ΔXYZ

both the triangles ABC and XYZ are congruent by SAS Congruence Postulate .

Therefore , The SAS triangle congruence postulate proves that these triangles are congruent .

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Answer:

D,E,F

Step-by-step explanation:

dialation causes the sides to get smaller or bigger when it’s more or less than 1

Hopes this helps please mark brainliest

Answer: 5 tadoples

Step-by-step explanation:

Please get me the Braniliest award, thanks!

Answer:

30

Step-by-step explanation:

If there are 18 swans in the ratio of 3

you divide 18 by 3  = 6

So you times 5 by 6 to get 30 as your answer

Answer:

80%

Step-by-step explanation:

Given:- The triangle with dimensions in it.

To find:- Which triangle is congruent to triangle MNO.

Solution:-

As we know that two triangles are congruent only when they satisfy one of the given rules.

1. SSS (Side-side-side) congruency rule.

2. SAS (side-angle-side) congruency rule.

3. ASA (Angle-Side-Angle) congruency rule.

4. AAS (Angle-Angle-Side) congruency rule

5. RHS (Right angle-Hypotenuse-Side) congruency rule.

So, check one by one option.

Option A:-

One side is 4.6 cm, another side is 4.99 cm and one angle is 60 degrees.

But it does not satisfy any of the congruency rules because there are 2 sides and then one angle.

So, option A is incorrect.

Option B:-

In option B there are three angles given 70 degrees, 60 degrees and 50 degrees. But to prove that the triangle is congruent we need at least one side.

So, Option B is incorrect.

Option C:-

In option C, there are only two sides given as 4.07 cm and 4.99 cm and to prove that the triangles are congruent we need at least three measurements of the triangle.

So, option C is incorrect.

Option D:-

In option D, there is one side of 4.07 cm, then one angle of 60 degrees and then one side of 4.99 cm. And we can observe that there is an angle between the two sides.

So, it follows SAS (side-angle-side) congruency rule.

So, Option D is correct.

Final answer:-

Therefore, the answer is option D.

Answer:

2,0?

Step-by-step explanation:

To do this, find your first derivative and then find where it is equal to zero. Because we are only concerned about the interval from -5 to 0, we only need to test points on that interval. (i really don't know hot to explain)

In a population of values having a normal distribution with (μ = 159.8) and  (σ = 59.5), if a random sample of size (n = 13) is selected, then the probability that a single randomly selected value is greater than 156.5 will be 0.52.

As per the question statement, a population of values has a normal distribution with (μ = 159.8) and (σ = 59.5) and a random sample of size      (n = 13) is selected,

Then we are required to calculate the probability that a single randomly selected value is greater than 156.5.

To solve this question, let us assume that, a random variable "X" follows normal distribution with mean (μ = 159.8), standard deviation (σ = 59.5) and a sample size of (n = 13).

Then the probability that a single randomly selected value is greater than 156.5 can be calculated as follows:

P (X > 156.5) = [1 - P(X < 156.5)]

= [1 - P{(X - μ)/σ < (156.5- 159.8)/59.5}]

= [1 - P{Z < (-0.0554)}]

= (1 - 0.477885127828 )...[Using Excel Function "NORMSDIST (-0.0554)]

= 0.522114872172

≈ 0.52

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Two proportions that has a product of 27 are

Proportion as used in  math refer to the condition when two ratios are equal.

Let the two proportions be x and y

say 2/3 * x = 27

x = 27 / 2/3

x = 81/2

4/7 * y = 27

y = 27 / 4/7

y = 189/4

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The measure of angle m<2 for the given linear pair is found as 109°.

For the given question;

<1 and <2 form a linear pair.

m<1 = (18r - 1)° and m<2 = (23r + 17)°

Thus, from the property of the linear pair;

m<1  +m<2 = 180

Put the values;

(18r - 1)° + (23r + 17)° = 180

Simplify the expression.

18r - 1 + 23r + 17 = 180

41r = 180 - 16

r = 4

m<2 = (23r + 17)°

m<2 = (23×4 + 17)°

m<2 = 109°

Thus, the measure of angle m<2 for the given linear pair is found as 109°.

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Since the line on which segment AB is reflected is x = 1 then the rule for this reflection will be

Then, the coordinates of the segment that is reflections of segment AB with respect to the line x = 1 will be

And the segment with these coordinates is EF

Therefore, the correct answer is b. EF.

This expression  -y⁴ is a polynomial and it's a type of biquadratic polynomial.

What is a polynomial?

One-variable polynomials are algebraic expressions that have terms of the form axⁿ, where n is a non-negative (i.e., positive or zero) integer and an is a real number that is known as the term's coefficient. A polynomial with one variable has its biggest exponent at its degree.

We have,

-y⁴

It has a degree of 4 and a coefficient is -1 a real number.

It is called a biquadratic equation or quartic equation. Generally, any polynomial with a degree of 4, which means the largest exponent is 4 is called a fourth-degree equation.

Hence, this expression  -y⁴ is a polynomial and it's a type of biquadratic polynomial.

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We want to find the value of w, so the following equation is true:

Since both sides of the equation are equal, we must do the same on both sides, so they keep equal.

We want to leave w in only one side of the equation.

Then we want to bring 9 of the division to the left side so w can be alone in the right sides.

In order to do so we multiply both sides by 9:

Then, we have that:

Answer: w = 6

Answer: 4,5

Step-by-step explanation

Given two numbers a and b

Their Arithmetic mean (A), Geometric mean (G) and Harmonic mean (H) are given below,

To find the formula that correctly relates H, a and b,

Relating the last two equations, i.e the geometric and harmonic mean below,

Substituting for A into the above expression,

Hence, A is the correct option.

The required graph shows the inequality that describes the possible number of benches and chairs the administration can buy is graph A. Option A is correct.

Here,
According to the question,
cost of the benches = 100x
cost of the chairs = 50y,
the total cost would exceed $1500
So,
the inequality can be formed,
100x + 50y ≤ 1500
Graph A shows the above inequality.

Thus, the required graph shows the inequality that describes the possible number of benches and chairs the administration can buy is graph A. Option A is correct.

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Answer: A, E, F

Step-by-step explanation:

The area answers always need to have a square in the unit so B & C are wrong.

D is wrong because it is a unit for volume. So A, E, and F are the right answers.

Our figure is a regular polygon. A polygon is regular when all angles are equal and all sides are equal. The measure of each inside angle of a regular polygon is given by the following expression

Where n represents the amount of sides.

Since our polygon is a regular hexagon, we have n = 6. Using this value on the expression, we have

The measure of each interior angle a regular hexagon is 120º.