Need help will give brainliest and 5 star if work is shown!

Answer:

Slope = 3

y- intercept = (0, 10)

Step-by-step explanation:

the equation is given by y=mx+c where m is the slope

- At y-intercept, x is equal to 0

Therefore, y = 3(0) + 10

y = 0 + 10

y = 10

Answer:

add all of them together then divide bye the number of lines

Step-by-step explanation:

This means that the football’s height when it was kicked 41 yards away was -1.762 yards.

A yard is a unit of length measurement in the imperial and US customary systems of measurement. It is equal to 3 feet or 36 inches.

The equation given is a parabolic equation which models the path of the football. It is a quadratic equation in the form of y = ax² + bx + c, where a, b, and c are coefficients that determine the shape of the path. The coefficient a represents the rate of change in the football’s height as it moves away from the punter. In this equation, a is -0.035, which indicates that the football’s height decreases as it moves away from the punter. The coefficient b indicates the rate of change in the football’s height as it moves back toward the punter, and in this equation, b is 1.4, which means that the football’s height increases as it moves back towards the punter. Finally, the coefficient c is 1, which indicates the height of the football when it is kicked.

In this case, the football was kicked 41 yards, so plugging x = 41 into the equation gives us y = -0.035(41²) + 1.4(41) + 1 = -1.762.

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Answer:

2699

Step-by-step explanation:

you do all the multiplication first

500×6= 3000

5 ×50 = 250

so it becomes

3000-51-250 = 2699

Answer:

2699

Step-by-step explanation:

Step-by-step explanation:

The nest is at 2.6 m, and the dwelling is at -14 m.  So the vertical distance is:

2.6 m − (-14 m) = 16.6 m

Answer:

16

Step-by-step explanation:

The total number of flowers in her garden 16.

Let the total flowers in Miss Lopez's garden is "X"

  Number of flowers of lilies = 10

  So,

        the number of flowers of daisies= (X-10)

According to the question,

  ratio of lilies to daisies in the garden is 5/3

       ⇒10/(X-10) = 5/3

      ⇒ 10=(X-10)×5/3

      ⇒10= (5X - 50)/3

     ⇒30=5X -50

    ⇒5X =80

     ⇒X=\(\frac{80}{5}\)

∴X=16

A linear equation only has one or two variables.

No variable in a linear equation is raised to a power greater than 1.

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Maraging (18% Ni) steel has a better tolerance to defects and fracture toughness compared to Medium strength steel.

The tolerance to defects and fracture toughness of a material can be evaluated using its fracture toughness parameter, Kic. The higher the Kic value, the better the material's tolerance to defects and fracture toughness.

To compare the two materials, we can use the concept of critical stress intensity factor (Kic) and factor of safety (FoS). The critical stress intensity factor is the maximum value of stress intensity factor (K) that a material can withstand without fracturing. The factor of safety is the ratio of the maximum allowable stress to the design stress, and it is used to ensure a safety margin in the design.

Assuming that the two materials have the same defect to tolerance ratio, we can calculate the maximum allowable stress for each material using the following formula:

σmax = FoS * Kic / (π * a)

where σmax is the maximum allowable stress, FoS is the factor of safety (assumed to be 2), Kic is the fracture toughness parameter, and a is the size of the defect.

Let's assume a defect size of 1 mm for both materials. Using the values given in the question, we get:

For Maraging (18% Ni) steel:

σmax = 2 * 82 * 10^6 / (π * 1 * 10^-3) = 52.1 GPa

For Medium strength steel:

σmax = 2 * 50 * 10^6 / (π * 1 * 10^-3) = 31.8 GPa

Therefore, Maraging steel has a higher maximum allowable stress, which indicates that it has a better tolerance to defects compared to medium strength steel.

To compare the fracture toughness of the two materials, we can use their respective Kic values. The higher Kic value indicates a better tolerance to defects and fracture toughness.

Comparing the given values, we can see that Maraging (18% Ni) steel has a higher fracture toughness parameter (Kic= 82 MNm-3/2) compared to Medium strength steel (Kic= 50 MNm-3/2).

Therefore, Maraging (18% Ni) steel has a better tolerance to defects and fracture toughness compared to Medium strength steel.

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Answer:

CGE

Step-by-step explanation:

angle CGE is same side interior angle

same side reffers to same side of transversal

interior refers that is between the parallel lines

Answer: CGE because the interior is parallel lignes

Step-by-step explanation:

The probability that the sum of the two dice is less than 4 is 3/36, which simplifies to 1/12.

Dice probability refers to the likelihood of a certain outcome when rolling one or more dice. The probability of rolling a particular number on a fair six-sided die, for example, is 1 in 6 or approximately 16.67%. The probability of rolling any number from 1 to 6 on a single die is always the same since each face has an equal chance of landing face up.

Given by the question.

To finds the probability that the sum of the two dice is less than 4, we need to list all the possible outcomes when Cindy throws one red and one blue dice, and then count the number of outcomes that satisfy the condition.

Possible outcomes when throwing two dice:

Red Blue

1 1

1 2

1 3

1 4

1 5

1 6

2 1

2 2

2 3

2 4

2 5

2 6

3 1

3 2

3 3

3 4

3 5

3 6

4 1

4 2

4 3

4 4

4 5

4 6

5 1

5 2

5 3

5 4

5 5

5 6

6 1

6 2

6 3

6 4

6 5

6 6

There are 36 possible outcomes when throwing two dice.

Outcomes where the sum of the two dice is less than 4:

Red Blue

1 1

1 2

2 1

There are 3 outcomes where the sum of the two dice is less than 4.

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The pair of numbers that solves the system is (15.25, 164.5).

The system of equations, in slope-intercept form, for Farmer Elentire and Farmer Hopt are:

y = 6x + 71 (for Farmer Elentire)

y = 10x + 10 (for Farmer Hopt)

To find the pair of numbers that solves the system, we need to find the point where the two lines intersect.

We can do this by setting the equations equal to each other:

6x + 71 = 10x + 10

Solving for x, we get:

4x = 61

x = 15.25

Now that we know x = 15.25, we can plug this value into either equation to find y.

71 + 6x = 10 + 10x

Subtracting 6x and 10 from both sides, we get:

61 = 4x

Dividing both sides by 4, we get:

x = 15.25

Now we can use either of the original equations to find y. Let's use the first equation:

y = 71 + 6x = 71 + 6(15.25) ≈ 164.5

Using the first equation, we get:

y = 6(15.25) + 71

y = 163.5

Therefore,

The pair of numbers that solves the system is (15.25, 163.5), accurate to the nearest tenth.

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To find the polar equation of a conic with focus at the pole, directrix y=3, and eccentricity of 2, we can use the definition of a conic in polar coordinates.

The general form of the polar equation for a conic with focus at the pole is given by:

r = \(\frac{ed}{1+e\cos(\theta-\theta_0)}\)

Where:

- r is the distance from the origin (pole) to a point on the conic.

- e is the eccentricity.

- d is the distance from the pole to the directrix.

- θ is the angle between the polar axis and the line connecting the pole to a point on the conic.

- θ_0 is the angle between the polar axis and the line connecting the pole to the focus.

In this case, the focus is at the pole, so θ_0 = 0. The directrix is y = 3, which means its distance from the pole is d = 3. The eccentricity is given as 2, so e = 2.

Substituting these values into the general equation, we get:

r =\(\frac{2\cdot3}{1+2\cos(\theta-0)}\)

Simplifying further:

r =\(\frac{6}{1+2\cos(\theta)}\)

Therefore, the polar equation of the conic with focus at the pole, directrix y=3, and eccentricity of 2 is:

r =\(\frac{6}{1+2\cos(\theta)}.\)

This equation describes the shape of the conic in polar coordinates, where r represents the distance from the origin to a point on the conic, and θ represents the angle between the polar axis and the line connecting the origin to the point.

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10 is the interquartile range value.

In the given statement is:

In a statistics class, 10 scores were randomly selected with the following results: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66.

Arrange in increasing order:

65, 66, 67, 68, 71, 73, 74, 77, 77, 77

Here the number of values = 10

10 is an even number. Therefore, the median is mean 71 and 73

That is Q2 = (71 + 73)/ 2 = 144/2 = 72

Now we have to get two parts i.e. lower half to find Q1 and the upper half to find Q3.

Q1 part : 65, 66, 67, 68, 71

Here the number of values = 5

5 is an odd number. Therefore, the center value is 67, that is Q1 = 67

Q3 part: 73, 74, 77, 77, 77

Here the number of values = 5

5 is an odd number. Therefore, the center value is 77, that is Q3 = 77

The subtraction of Q1 and Q3 value is 77 - 67 = 10

Therefore, 10 is the interquartile range value.

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The fraction 9/10 is more than 78/100.

In mathematics, an expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, division, and exponentiation) that are combined in a meaningful way.

To compare these two fractions, we can convert them to have a common denominator. In this case, the common denominator is 1000.

9/10 = (9/10) x (100/100) = 900/1000

78/100 = (78/100) x (10/10) = 780/1000

Now we can see that 900/1000 (which is equivalent to 9/10) is greater than 780/1000 (which is equivalent to 78/100).

Therefore, 9/10 is more than 78/100.

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Lacey can earn $53.73 as interest after 2 years compound interest monthly.

What is compound interest ?

   The interest charged on a bank account, loan, or investment simply grows exponentially over time rather than linearly. This is known as compound interest. Compound interest simply refers to earning interest on both your initial investments as well as any future interest those initial savings may generate. More compound interest will be earned by your child the earlier they start saving.

Here given , Total Amount A = $700.00 , Rate of Interest R = 4%,

Number of years T = 2 and compounded monthly so n= 12

First, convert R as a percent to r as a decimal

r = R/100

r = 4/100

r = 0.04 per year,

Using compound interest formula ,

=> A = p \((1+\frac{r}{n} )^(nt)\)

Then, solve the equation for P

P = A / \((1+\frac{r}{n} )^(nt)\)

P = 700.00 / (1 + 0.04/12)(12)(2)

P = 700.00 / (1 + 0.0033333333333333)(24)

P = $646.27

Here the principal amount is $646.27 , Then

Interest = amount - principal

=> Interest I = 700.00-646.27 = $ 53.73

Therefore interest which she earns $53.73.

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You would need to deposit approximately $10,471.54.

To calculate the initial deposit needed to have $20,000 in an account after 20 years with continuous compounding at a 4.75% interest rate, we can use the formula for continuous compound interest:

\(A = P e^{(rt)\)

Where:

A = Final amount ($20,000 in this case)

P = Principal amount (initial deposit)

r = Interest rate (4.75% or 0.0475 as a decimal)

t = Time period in years (20 years in this case)

Rearranging the formula to solve for P:

\(P = A / e^{(rt)\)

Now we can substitute the given values and calculate the initial deposit:

\(P = $20,000 / e^{(0.0475\times20)\)

P = $20,000 / 1.9105 ≈ $10,471.54

Therefore, you would need to deposit approximately $10,471.54 into the account initially to have $20,000 after 20 years with continuous compounding at a 4.75% interest rate.

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Answer:

8%

Step-by-step explanation:

Given that:

Reliability of each = 0.92

r = 0.92

1 - (1 - r)(1 - r) = 1 - (0.08)(0.08) = 1 - 0.0064 = 0.9936

Percentage improvement :

1 - (0.9936) / r

1 - (0.9936 / 0.92)

1 - 1.08

= - 0.08

= 0.08 / 100 = 8%

Answer:

Step-by-step explanation:

THE ANSWER TO YOUR QUESTION IS C.

The trigonometric equations has the following solutions: x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

In this problem we find the case of a trigonometric equation, whose solutions on the interval [0, 2π] must be found. This can be done by both algebra properties and trigonometric formulae. First, write the entire expression:

tan² x · sec² x + 2 · sec² x - tan² x = 2

Second, use trigonometric formulas to reduce the number of trigonometric functions:

tan² x · (tan² x + 1) + 2 · (tan² x + 1) - tan² x = 2

Third, expand the equation:

tan⁴ x + tan² x + 2 · tan² x + 2 - tan² x = 2

tan⁴ x + 2 · tan² x = 0

Fourth, factor the expression:

tan² x · (tan² x - 2) = 0

tan² x = 0 or tan² x = 2

tan x = 0 or tan x = ± √2

Fifth, determine the solutions to trigonometric equation:

x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

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The range of g is bounded between 1 - 2M and 1, but it may not include all values in that interval, depending on the range of f.

The range of function g depends on the range of the function f.

Let's start by assuming that we know the range of f.

If the range of f is Rf, then the range of -2f is the set {-2y | y ∈ Rf}, which is just the set of all numbers that can be obtained by multiplying an element of Rf by -2.

Finally, we add 1 to each of these values to get the range of g. Therefore, the range of g is:

Rg = {1 - 2y | y ∈ Rf}

In other words, the range of g is obtained by taking the range of f, multiplying each element by -2, and adding 1 to each result.

If we don't know the range of f, we can still say something about the range of g. Specifically, we know that g(x) can never be greater than 1 (since the largest value that -2f(x) can take is 0, and adding 1 to 0 gives us 1), and g(x) can never be less than 1 - 2M, where M is the largest possible value that f(x) can take on. In other words, the range of g is bounded between 1 - 2M and 1, but it may not include all values in that interval, depending on the range of f.

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Based on the information given, we can conclude that RM = 2, but we cannot determine the lengths of the other sides of the quadrilaterals without further information.

Given that quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation, we can use the information to determine the length of RM.

A translation is a transformation that moves every point of a figure by the same distance and in the same direction. In this case, the translation is such that the corresponding sides of the quadrilaterals are parallel.

Since TY = 2, and the translation moves every point by the same distance, we can conclude that the distance between the corresponding points R and M is also 2 units.

Therefore, RM = 2.

By the properties of a translation, corresponding sides of the two quadrilaterals are congruent. Hence, side YG of quadrilateral YFGT is congruent to side MK of quadrilateral MKNR, and side GT is congruent to NR. However, the given information does not provide any additional details or measurements to determine the lengths of these sides.

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Answer:

259200

Step-by-step explanation:

so there are 86400 in one day. multiply by 3.

Answer:

259200

Step-by-step explanation:

60x24x3x60=

Answer:

-5/9x+47/9=y

Step-by-step explanation:

Answer:

512 ft and 1,232 ft

Step-by-step explanation:

area is length x width

the pool's area can be calculated doing 32ft x 16ft

the area of the pool is 512 ft

the deck's area can be calculated doing 28ft x 44ft

the area of the deck is 1,232 ft

you're welcome<3

Step-by-step explanation:

a probability is always desired cases over total possible cases.

so, we have actually 8 systems (5 + 3) we can pick from.

therefore, the total possible cases are 8.

the desired case is in this question to pick one of the 3 Wii consoles.

the probability to pick a Wii is therefore

3/8 = 0.375

Answer:

3/8, or 37.5%

Step-by-step explanation:

There are 8 different playing devices there.

There are only 3 Nintendo Wii consoles.

So, the probability is 3/8

Given that they typically worked 16 hours a day and mowed 80 yards, the data point that would represent this information would be (16, 80). This data point would be displayed on the graph alongside other data points, allowing us to compare them to the average and observe trends.

A graph is a visual representation of data or information. It consists of two axes, typically labeled the x-axis and the y-axis, which intersect at a point called the origin. The x-axis is the horizontal axis, while the y-axis is the vertical axis.

Data is plotted on the graph as points or lines, with each point or line representing a specific value or relationship between variables. Graphs can be used to display a wide range of information, such as numerical data, relationships between variables, and trends over time.

Common types of graphs include line graphs, bar graphs, scatter plots, and pie charts. Graphs are widely used in fields such as mathematics, statistics, economics, and the sciences to help visualize and analyze data.

The graph would be a scatter plot with two axes: the x-axis would represent the number of hours worked, and the y-axis would represent the number of yards mowed. The data points on the graph would be plotted as ordered pairs (x, y), where x is the number of hours worked and y is the number of yards mowed.

For example, if one team worked for 10 hours and mowed 50 yards, the data point would be (10, 50). Similarly, if another team worked for 20 hours and mowed 100 yards, the data point would be (20, 100).

Based on the given information that the average they worked was 16 hours and mowed 80 yards, the data point representing this information would be (16, 80). The graph would show this data point among others, and we could see how the other data points compared to the average.

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Answer:

∠a = 29° (alt. int. angles)

∠b = 46° (alt. int. angles)

∠1 = ∠a + ∠b

= 29° + 46°

= 75°