Please answer the questions. I will mark brainliest. <3

Answer:

185...not 100% sure my equation is actually correct though.

Step-by-step explanation:

15x + 20

15(11) + 20

165 + 20

185

In case you're wondering...15 represents the amount it increases by (45 - 30) and 20 is there because when "At the end of the week" is 0, "Insect population" is 20.

In one sweep, the area covered by the sprinkler is 77.19 sq ft (approx). The area of the lawn, to the nearest square foot, that receives water from this sprinkler is 616 sq ft (approx).

We know that a rotating sprinkler can reach up to 14 feet through a 300-degree angle. Area covered by the sprinkler in one sweep = area of the sector whose radius = 14 feet and angle = 300°Area of sector = (θ / 360) × πr²Where θ = 300°, r = 14 ftArea of sector = (300/360)× π(14)²= 77.19 sq ft (approx) Therefore, the area covered by the sprinkler in one sweep is 77.19 sq ft (approx).

We need to find the total area of the lawn that receives water from this sprinkler. The sprinkler rotates 360 degrees, so it will cover a full circle whose radius is 14 feet. Area of a circle = πr²= π(14)²= 615.752 sq ft (approx) Therefore, the area of the lawn, to the nearest square foot, that receives water from this sprinkler is 616 sq ft (approx).

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Answer:

x = 21

General Formulas and Concepts:

Geometry

Step-by-step explanation:

Step 1: Identify

We see that the measures given are Corresponding Angles

Step 2: Solve for x

Answer:

641654654

Step-by-step explanation:

Answer:

1) r=9 v=972

2) r=6 v=288

3) r=12 v=2,304

Step-by-step explanation:

Sample Answer on edmentum

Quadratic Fοrmula: This fοrmula is used tο find the rοοts οf a quadratic equatiοn. It is calculated as:

\($ \rm x = \frac{(-b \pm \sqrt{(b^2 - 4ac)}}{ 2a}\)

it's a secοnd-degree quadratic equatiοn which is an algebraic equatiοn in x. Ax² + bx + c = 0, where a and b are the cοefficients, x is the variable, and c is the cοnstant term, is the quadratic equatiοn in its standard fοrm.

1. Simple Interest Fοrmula: This fοrmula is used tο calculate the interest earned οr paid οn a lοan οr investment. It is calculated as:

\(\rm I = P \times r \times t\)

Where I is the interest earned οr paid, P is the principal amοunt, r is the interest rate, and t is the time periοd.

2. Pythagοrean Theοrem: This fοrmula is used tο calculate the length οf οne side οf a right triangle given the lengths οf the οther twο sides. It is calculated as:

\(\rm a^2 + b^2 = c^2\)

Where a and b are the lengths οf the twο legs οf the right triangle, and c is the length οf the hypοtenuse.

3. Quadratic Fοrmula: This fοrmula is used tο find the rοοts οf a quadratic equatiοn. It is calculated as:

\($ \rm x = \frac{(-b \pm \sqrt{(b^2 - 4ac)}}{ 2a}\)

Where a, b, and c are cοefficients οf the quadratic equatiοn ax² + bx + c = 0, and x is the sοlutiοn.

4. Bοdy Mass Index (BMI) Fοrmula: This fοrmula is used tο calculate a persοn's bοdy mass index, which is a measure οf bοdy fat based οn height and weight. It is calculated as:

BMI = (weight in kilοgrams) / (height in meters)²

A BMI οf 18.5 tο 24.9 is cοnsidered healthy, while a BMI οf 25 tο 29.9 is cοnsidered οverweight, and a BMI οf 30 οr higher is cοnsidered οbese.

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Complete question:

Describe some common or unique mathematical formulas that you use in your life.

Melea gallops her horse 0.5 miles in 1.25 minutes, then the speed of the horse will be equal to 0.4 miles/minute.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the given data in the question,

Distance (d) traveled by the horse = 0.5 miles

Time (t) taken by the horse to cover the distance = 1.25 minutes

Then, the speed of the horse will be,

\(Speed=\frac{Distance}{Time}\)

s = 0.5/1.25

s = 0.4 miles/minute.

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Answer:

3x +2=14

subtract 2 from both sides

3x + 2-2=14-2

3x=12

Step 2:Divide both sides by 3.

3x/3 = 12/3

x = 4

Step-by-step explanation:

The instantaneous speed with which the pile is rising at 4cm is 3.18cubic cm/sec.

Given that:

The sand is being poured onto a surface at rate of  speed.

That means, as each second passes, 40 cubic centimeters of sand is added to that conical shape.

Also, it is given that:

Diameter of base of the cone being formed = Altitude of the cone

Thus, radius of the base of the cone = half of altitude of the cone

or

r = h/2

Volume of cone = 1/3 × π× r² × h

V = 1/3 ×π×h³/12

It is known that dv/dt = 40

So,

dv/dt = d 1/3 ×π×h³/12/dt

40 = π × h²/4 dh/dt

dh/dt = 160/π × h²

Now when h = 4cm ,

dh/dt = 10/π

dh/dt = 3.183 .

Thus, at 4 cm height of pile, the altitude of the pile is rising at the instantaneous speed 3.183 cubic cm/sec.

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Evaluating all possible values of a variable in a model is called a sensitivity analysis.

A sensitivity analysis is a technique used to assess the impact of changes in the values of input variables on the output or outcome of a model or system. It involves systematically varying the values of the variables within a defined range and observing the corresponding changes in the model's output.

The purpose of a sensitivity analysis is to understand how sensitive the model is to changes in the input variables and to identify which variables have the most significant influence on the model's results.

During a sensitivity analysis, different scenarios are created by varying one or more input variables while keeping others constant. By examining the resulting changes in the model's output, analysts can gain insights into the relationships and dependencies between the variables and assess the robustness of the model's predictions or decisions.

Sensitivity analysis helps in understanding the potential risks, uncertainties, and limitations associated with the model, and can aid in decision-making and improving the model's performance by identifying critical variables that need to be carefully monitored or controlled.

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Answer:

75.36 yd²

Step-by-step explanation:

To solve, you need to consider the walkway and the pool as one circle and find the are.  The diameter of this circle is 25 yd.  This means that the radius is 12.5 yd.

A = πr²

A = π(12.5)²

A = 156.25π

A = 490.625 yd²

Then, you need to find the area of the pool alone.  Since the diameter of the pool is 23 yd., the radius is 11.5 yd.

A = πr²

A = π(11.5)²

A = 132.25π

A = 415.265 yd²

Subtract the two areas to find the are of the walk.

490.625 - 415.265 = 75.36 yd²

The area is 75.36 yd²

Answer:

5

Step-by-step explanation:

thanks for the points

Each of the pairs of angles should be identified as follows;

Complementary angles = ∠HJ and ∠FJ

Adjacent angles = ∠LON and ∠NOM

Supplementary angles = ∠EFA and ∠EFB

Vertical angles = ∠LOP and ∠MO

In Mathematics and Geometry, a complementary angle can be defined as two (2) angles or arc whose sum is equal to 90 degrees (90°).

Mathematically, a complementary angle can be represented by using this mathematical equation:

Q + R = 90°

Where:

Q and R are measure of the angles subtended.

In Mathematics and Geometry, adjacent angles can be defined as two (2) angles that share a common vertex and a common side. This ultimately implies that, both angle LON and angle NOM are adjacent angles.

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The probability is 0.01087 (rounded to five decimal places).

Let's first consider the possible positions the piece can be in after 8 moves. Since the piece can only move up or to the right, it can be in any position on the line that goes from the starting position (lower left corner) to the upper right corner of the grid. Since there are 8 moves, this line consists of 9 points. We can count the number of ways the piece can get to each of these points using combinations.

For example, to get to the point that is 4 inches up and 4 inches to the right of the starting position, the piece must move up 4 times and to the right 4 times, in any order. This is equivalent to choosing 4 moves out of the 8 total moves to be "up" moves, which can be done in C(8,4) = 70 ways. Similarly, the number of ways to get to each of the other 8 points on the line can be calculated using combinations.

Now we need to find the number of ways the piece can end up at a point that is exactly 4 inches away from the starting position. There are two such points on the line, which are 4 inches up and 4 inches to the right, and 4 inches to the right and 4 inches up, respectively. The total number of ways the piece can get to either of these points is C(8,4) + C(8,4) = 140.

Therefore, the probability that the center of the piece will be exactly 4 inches away from where it started after 8 moves is 140 divided by the total number of ways the piece can end up, which is C(8+8,8) = C(16,8) = 12,870.

The probability is therefore:

P = 140/12,870 = 0.01087 (rounded to five decimal places).

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Answer:

The equation — E = mc2 — means "energy equals mass times the speed of light squared." It shows that energy (E) and mass (m) are interchangeable; they are different forms of the same thing. If mass is somehow totally converted into energy, it also shows how much energy would reside inside that mass: quite a lot.

Step-by-step explanation:

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Using the given data, the number of suspects is; 7

The union of two sets A and B is the set of all those elements which are either in A or in B, and which is denoted as A ∪ B.

However, the intersection of two sets A and B is defined as the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B.

Now, we are told that;

Total number of people in the office = 30 people

Number of people wearing a white button down shirts = 22

Number of people wearing black pants = 16

Number of people wearing a multicolored tie = 7

Thus, by definition of intersection of sets, if the suspect was wearing black pants, a white button-down shirt, and a multicolored tie, then;

The number of suspects =  A ∩ B ∩ C = 7 people

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Answer:

The middle  number in a data set is called the MEDIAN.

Step-by-step explanation:

Answer:

Always middle number..

Answer:

2

Step-by-step explanation:

i say 2 because you need a controlled variable and then the one subject to change (sorry if not)

Answer:

the answer Is 3

can you help me in something please?

The derivative of the given function is,

⇒f'(x)  = -3696x¹² + 45360x⁹ - 62227x⁶ + 76545x³ - 45927.

The given function is,

f(x) = (-7x)(-4x³ +9)³

Since we know that,

In calculus, a function's derivative measures how sensitively its output value changes in response to changes in its input value. Calculus's basic tool is the derivative.

Therefore, differentiate the function with respect to x,

⇒f'(x) =d/dx[ (-7x)(-4x³ +9)³]

Since we know that the derivative of product of two functions are,

d/dx(AB) = A d/dx B + B d/dx A

So we get,

⇒ f'(x) = (-7x) d/dx (-4x³ +9)³ + (-4x³ +9)³d/dx(-7x)

         = -7x [3(-4x³ +9)²]( -12x²) +  (-4x³ +9)³(-7)

Thus, after simplifying we get,

⇒f'(x)  = -3696x¹² + 45360x⁹ - 62227x⁶ + 76545x³ - 45927.

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The result of Multiplying 138.2 km by 3.5 km is 483.7 km².

To perform the indicated calculation, we need to multiply 138.2 km by 3.5 km.138.2 km x 3.5 km = 483.7 km²

The result of multiplying 138.2 km by 3.5 km is 483.7 km².

When dealing with significant figures, we should consider the least precise measurement involved in the calculation, which in this case is 3.5 km (with two significant figures). Therefore, we should round the answer to the same number of significant figures, resulting in 480 km².

So, rounding according to the rules for significant figures, the result of the calculation 138.2 km x 3.5 km is approximately 480 km².

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Answer:

A

Step-by-step explanation:

(8x + 4) = (10x-6)

If you solve this you find x = 5, plug that into one and you get 44 degrees

The compound inequality represents the given inequality is y-3≤1 OR -1≤y-3. Therefore, option A is the correct answer.

The given inequality is |y – 3| − 4 ≤ −3.

A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time. It is the overlap or intersection of the solution sets for the individual statements. “Or” indicates that, as long as either statement is true, the entire compound sentence is true. It is the combination or union of the solution sets for the individual statements.

Now, solve inequality |y – 3| − 4 ≤ −3.

Add 4 on both sides of the inequality.

That is, |y – 3| − 4+4 ≤ −3+4

y-3≤1 OR -1≤y-3

The compound inequality represents the given inequality is y-3≤1 OR -1≤y-3. Therefore, option A is the correct answer.

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Henry opens a savings account with an annual interest rate of 4.5 percent. After a year, he gets $75,000 in payment. He made a deposit into the savings account of $72,831.68.

Here are the steps on how to calculate the amount Henry invested:

Convert the annual interest rate to a monthly rate.

\(\begin{equation}4.5\% \div 12 = 0.375\%\end{equation}\)

Calculate the number of years.

\(\begin{equation}\frac{18 \text{ months}}{12 \text{ months/year}} = 1.5 \text{ years}\end{equation}\)

Use the compound interest formula to calculate the amount Henry invested.

\(\begin{equation}FV = PV * (1 + r)^t\end{equation}\)

where:

FV is the future value ($75,000)

PV is the present value (unknown)

r is the interest rate (0.375%)

t is the number of years (1.5 years)

\(\begin{equation}\$75,000 = PV \cdot (1 + 0.00375)^{1.5}\end{equation}\)

\$75,000 = PV * 1.0297

\(\begin{equation}PV = \frac{\$75,000}{1.0297}\end{equation}\)

PV = \$72,831.68

Therefore, Henry invested \$72,831.68 in the savings account.

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a)  The direction in which you should walk to descend fastest is: (-12, -16)

b) The slope of your path is: -88

c) The direction of the greatest increase in temperature at the point (−2, 2) is: (-4, 4)

The maximum rate of change is: 4√2

d) The direction of the greatest decrease is: (4, -4).

The most negative rate of change is: 4√2

(a) The equation on the surface is:

z = 15 - (3x² + 2y²)

The gradient of this surface will be the partial derivatives of the equation. Thus:

Gradient of the surface z:

∇z = (-6x, -4y)

Since you are standing above the point (2,4), then the direction to descend fastest is:

∇z(2,4) = (-6(2), -4(4))

∇z(2,4) = (-12, -16)

That gives us the direction to descend fastest is in the direction.

(b) If you start to move in the direction (-12, -16) above, then slope of your path (rate of descent) is given by the dot product expressed as:

Slope = ∇z(2,4) · (-12, -16)

= (2)(-12) + (4)(-16)

= -24 - 64

= -88

(c) We want to find the direction of the greatest increase in temperature at the point (−2,2).

Thus, the gradient of T(x,y) is given by:

∇T = (2x, 2y).

The direction is:

∇T(-2, 2) = (2(-2), 2(2))

∇T(-2,2) = (-4, 4)

The maximum rate of change is:

∇T(-2,2) = √((-4)² + 4²)

= √(16 + 16)

= √(32)

= 4√2

(d) The direction of the greatest decrease is:

(-∇T(-2, 2)) = (-(-4), -4)

= (4, -4).

The most negative rate of change is:

∇T(-2, 2) = √(4² + (-4)²)

= √(16 + 16)

= √(32)

= 4√2

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Answer:

17

Step-by-step explanation:

\(\frac{10 + 10 + 10 + 10 + 10 + 10 + x}{7} = 11 \)

60 + x = 77

x = 77-60

x = 17

Answer:

702 is the area of your first shape, 114 is the perimeter

20 is the area of your second shape, 24 for the perimeter

Step-by-step explanation:

You wanna break them down into smaller squares to find their area and perimeter.

18 * 24 = 432    (this is the area for the smaller rectangle)

9 * 30 = 270 (I got the 9 by subtrating the total length of your shape, which is 27, by that one part they gave which is 18)

270 + 432 = 702 is your area for your first shape

27 + 24 + 18 + 6 + 9 + 30 = 114 is the perimeter for your first shape

7 * 2 = 14   2 * 3 = 6   = 20 is the area for your second shape

2 + 3 + 3 + 2 + 3 + 2 + 2 + 7 = 24 is the perimeter of your second shape

the probability of him making at least one free throw is lower (0.8044 vs. 0.9964), which means the opposing team has a better chance of preventing the other team from scoring points.

a. To find the probability that the player will make both free throws, we simply multiply the probability of making one free throw by itself: 0.94 * 0.94 = 0.8836 (to 4 decimals).

b. To find the probability that he will make at least one free throw, we can use the complement rule. The complement of making at least one free throw is missing both free throws, so we can find the probability of missing both free throws and subtract that from 1: 1 - 0.06 * 0.06 = 0.9964 (to 4 decimals).

c. To find the probability that he will miss both free throws, we multiply the probability of missing one free throw by itself: 0.06 * 0.06 = 0.0036 (to 4 decimals).

d. For the team's worst free throw shooter who makes 56% of his free throws, the probabilities are as follows:

a. The probability of making both free throws is 0.56 * 0.56 = 0.3136.

b. The probability of making at least one free throw is 1 - the probability of missing both free throws: 1 - 0.44 * 0.44 = 0.8044.

c. The probability of missing both free throws is 0.44 * 0.44 = 0.1936.

Comparing the probabilities for the two players, we can see that intentionally fouling the worst free throw shooter is a better strategy. This is because the probability of him missing both free throws is higher (0.1936 vs. 0.0036), which means the opposing team has a greater chance of gaining possession of the ball. In addition, the probability of him making at least one free throw is lower (0.8044 vs. 0.9964), which means the opposing team has a better chance of preventing the other team from scoring points.

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Answer:

yes

Step-by-step explanation:

The mean is 32.5, the median is 28, and the mode is 30.91.

We are given that;

CI= 0-10  10-20  30-40  40-50  f= 5 8 15 16 6

Now,

Applying these formulas to your table, we get:

Mean=((5×5)+(8×15)+(15×25)+(16×35)+(6×45)​)/50

=1625/50​

=32.5

Median=20+(50​/2−13​)/15 ×10=

20+12/15​×10=28

Mode=(16−15)/(30+2(16)−15−6) ​×10

=30+111​×10

=30.91

Therefore, by mean the answer will be 330.91.

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Answer:

30

Step-by-step explanation:

| |  means absolute value. It means how many spaces a point is away from 0. An easier way to do this is that any positive number is the same, and all negative numbers are positive.

For example:

|1|=1

|-1|=1

|-1000|=1000.

5|2-8| = 5 * (|2-8|).

|2-8| = |-6|=6

5*6=30

so the answer is 30

hope this helps