Write an equation to describe the relationship in each table

Answer:

6[tex]cm^{2}[/tex]

Step-by-step explanation:

0.5bh=0.5*3*4=6

Answer:

ok so here  is the ans i worked long for it like 15 min

plsssssssss mark branliest i beg u

Step-by-step explanation:

The height of the cone is determined as 6.45 inches.

The height of the cone is calculated by applying the formula for the volume of a cone.

V = ¹/₃ π r²h

where;

let the radius of the cone = 5.6 inches

The height of the cone is calculated as follows;

h = ( 3V ) / (π r²)

h = (3 x 1,186.92 ) / (π r²)

h = 6.45 inches

Thus, the height of the cone is determined by using the formula for the volume of a cone.

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Sweet Treats Bakery is ordering 1,860 kilograms of sugar this time.

If the Sweet Treats Bakery is ordering 25% less sugar than the last time, then they are ordering only 75% of the previous amount, or 0.75 times 2,480 kilograms.

75% can be rearranged as decimal form.

For that, divided by 100.

We get,

75/100 = 0.75.

To calculate this, you can multiply 0.75 by 2,480:

0.75 × 2,480 = 1,860

Therefore, Sweet Treats Bakery is ordering 1,860 kilograms of sugar this time.

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The values of {m} that is greater than 4.6 represent the solution of the given inequality.

An inequality is used to compare two or more expressions or numbers.

For example -

2x > 4y + 3

x + y > 3

x - y < 6

The given inequality is -

5m - 7 > 16

Adding 7 on both sides, we get -

5m - 7 + 7 > 16 + 7

5m > 23

m > 23/5

m > 4.6

Therefore, the values of {m} that is greater than 4.6 represent the solution of the given inequality.

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The number of animals there are in the corral is 1020.

We are given that Number of chicken=510

This is a word problem that can be solved by using fractions and proportions.

Let x be the total number of animals in the corral. Then, according to the problem, we have:

x/2 = 510 (half are chickens) x/5 = ? (a fifth are ducks) x/9 = ? (a ninth are turkeys)

To find the total number of animals, we need to find a common denominator for the fractions and add them up. The least common multiple of 2, 5, and 9 is 90, so we multiply each fraction by 90 to get:

45x/90 = 45 * 510 (half are chickens) 18x/90 = ? (a fifth are ducks) 10x/90 = ? (a ninth are turkeys)

Adding up the fractions, we get:

(45x + 18x + 10x)/90 = 73x/90

This is the fraction of animals that are chickens, ducks, or turkeys. To find the total number of animals, we need to divide both sides by 73/90, which is equivalent to multiplying by 90/73. We get:

x = (73x/90) * (90/73) x = x

Therefore, the total number of animals in the corral is x.

To find the value of x, we can use the equation x/2 = 510 and solve for x. We get:

x/2 = 510 x = 510 * 2 x = 1020

Therefore, by unitary method the answer will be 1020.

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The complete question is;

Of the animals in a corral, half are chickens, a fifth are ducks, a ninth are turkeys, and 510 are chickens. How many animals are there in the corral?

Answer:

We should deposit approximately $14,408.92 in the account to grow to $100,000 in 32 years, assuming a 9% annual interest rate compounded every 2 months.

Step-by-step explanation:

To solve this problem, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A = the future value of the investment

P = the initial principal (the lump sum we need to deposit)

r = the annual interest rate (9% in this case)

n = the number of times the interest is compounded per year (since interest is compounded every 2 months, or 6 times per year, n = 6)

t = the number of years (32 years in this case)

We are given that we want the investment to grow to $100,000 in 32 years, so we can set A = $100,000 and solve for P:

$100,000 = P(1 + 0.09/6)^(6*32)

Simplifying the expression inside the parentheses:

$100,000 = P(1.015)^192

Dividing both sides by (1.015)^192:

P = $100,000 / (1.015)^192

Using a calculator:

P ≈ $14,408.92

Therefore, we should deposit approximately $14,408.92 in the account to grow to $100,000 in 32 years, assuming a 9% annual interest rate compounded every 2 months.

The coordinate pairs that can be the end location are:

(-2, 10)

(-10, 10)

(-6, 14)

(-6, 4)

The student starts at (-6, 10) and walks 4 miles in some direction. Then the end location is any point of the form:

(-6 ± 4, 10)

or

(-6,10 ±4)

Then the 4 possible options are:

(-2, 10)

(-10, 10)

(-6, 14)

(-6, 4)

So these 4 are the correct options.

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The area of the triangle in the image is 24 square centimeters.

Remember that the area of a triangle of base B and height H is given by:

A = B*H/2

On the diagram, we can see that the base of the triangle is 8cm, and the height is 6cm, then we can replace these two values in the formula above, then we will get:

A = 8cm*6cm/2

A = 8cm*3cm

A = 24cm²

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The frequency table using this data is

Number of hours of sleep Number of employees

6                                                     2

7                                                     4

8                                                     3

From the question, we have the following parameters that can be used in our computation:

6 7 8 7

7 8 7 6

From the baove data, we have the frequencies to be

Frequency of 6 = 2

Frequency of 7 = 4

Frequency of 8 = 2

So, we have the frequency table to be

Number of hours of sleep Number of employees

6                                                     2

7                                                     4

8                                                     3

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Answer:

2

4

2

Step-by-step explanation:

Answer: 25,000

Step-by-step explanation: 10x10x16x16=25,000

The missing angle is approximately 67 degrees. To find it, we used the fact that the sum of the angles in a triangle is 180 degrees and calculated the angle opposite the base using inverse tangent.

An angle is the measure of the space between two intersecting lines, rays, or line segments, given in degrees or radians, often denoted by the symbol θ.

Tangent is a trigonometric function that relates the ratio of two sides of a right triangle: the length of the opposite side over the length of the adjacent side of a given angle.

According to the given information:

The angle theta is the angle between the hypotenuse and the base of a right triangle. We can use the formula for the tangent of an angle to find theta:

tan(θ) = opposite/adjacent

In this case, the opposite side is the height of the triangle (9), and the adjacent side is the base of the triangle (21). So:

tan(θ) = 9/21

tan(θ) = 0.42857...

Using the inverse tangent function ([tex]tan^{-1}[/tex]) on both sides:

θ = [tex]tan^{-1(0.42857...)}[/tex]

θ = 23.8171...

Rounding to the nearest degree gives us an odd number:

θ6 ≈ 23 degrees

Now, to find the missing angle, we can use the fact that the sum of the angles in a triangle is 180 degrees. We know that one angle is 90 degrees (it's a right triangle), and we just found the angle opposite the base (theta). So:

180 - 90 - θ = missing angle

180 - 90 - 23 ≈ 67

Therefore, the missing angle is approximately 67 degrees.

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Answer:what are you solving for ? If it’s. X it equals 16

Step-by-step explanation:

The function N(t)=t2−8t−1, for evaluating N(6) will be -13.

A function is the rule which assigns a unique output value for each input value. The input values are typically called the domain of the function, and the output values are called the range of the function.

To evaluate means to find the value of an expression or a function at a particular point or set of points. This typically involves substituting given values for any variables in the expression or function and then simplifying or solving the resulting equation to obtain a numerical result.

To evaluate N(6), we substitute t = 6 into the expression for N(t);

N(6) = 6² - 8(6) - 1

Simplifying;

N(6) = 36 - 48 - 1

N(6) = -13

Therefore, N(6) = -13.

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Answer:

A

Step-by-step explanation:

In A, if G is 3, then P is -3.

This means that P = (-G)

Answer: The following formula determines the total number of infected people after t days:

500,000 / (1 + 499e^(-1.617t))

We can enter t = 4 into the algorithm to determine the total number of affected 4 days after the outbreak and then assess:

Step-by-step explanation:

500,000 / (1 + 499e^(-1.617(4))) = 500,000 / (1 + 499e^(-6.468))

= 500,000 / (1 + 499(0.00155))

= 500,000 / (1 + 0.77445)

= 500,000 / 1.77445

When this is rounded to the closest whole number, we obtain:

281,580

Therefore, four days after the outbreak, about 281,580 people will be infected.

Results:

(i) The vector −→EX in terms of a and/or b, →X = 1/2 (10b →OB + 10a →OA)

(ii) The vector −−→XY in terms of a and/or b→XY = →Y - 1/2 (10b →OB + 10a →OA)

(i) We can use the midpoint formula, which states that the midpoint of a line segment is the average of the coordinates of its endpoints to express the vector −→EX in terms of a and/or b.

Since X is the midpoint of BC, we can express X as the average of the coordinates of B and C:

→X = 1/2 (→B + →C)

Since B is located at 10b units in the direction of vector →OB from O, and C is located at 10a units in the direction of vector →OA from O, we can express →B and →C in terms of a and b:

→B = 10b →OB

→C = 10a →OA

Substituting these values into the expression for →X, we get:

→X = 1/2 (10b →OB + 10a →OA)

(ii) To express the vector −→XY in terms of a and/or b, we can use the given ratio AB: BY = 3: 2.

Since AB is a vector from A to B, we can express it as →AB = →B - →A.

Substituting the expressions for →B and →A, we get:

→AB = 10b →OB - →OA

Since AB: BY = 3: 2, we can express BY as 2/3 of AB:

→BY = 2/3 (→AB)

Substituting the expression for →AB, we get:

→BY = 2/3 (10b →OB - →OA)

Finally, we can express →XY as the vector from Y to X, which is the opposite of →X to →Y:

→XY = →Y - →X

Substituting the expressions for →X and →Y, we get:

→XY = →Y - 1/2 (10b →OB + 10a →OA)

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The remaining person will take 4 days to finish the work.

Work has a completely different connotation in science than it does in ordinary life. Every time labour is performed, energy is transmitted, as shown by the definition of work in physics.

Let's assume that each man can do the whole job in "x" days.

According to the problem, three men can do the job in 10 days, so their combined work rate is:

3/x = 1/10

Solving for x, we get x = 30.

This means that one man can do the job in 30 days.

After three days, one man leaves, so only two men are left to complete the remaining job. They have already worked for 3 days, so the remaining work is:

(2/3) * (7/10) = 14/30

This means that two men can do the remaining work in 14 days.

After another three days, one more man leaves, so only one man is left to complete the remaining job. They have already worked for a total of 6 days (3 days + 3 days), so the remaining work is:

(1/3) * (4/10) = 4/30

This means that one man can do the remaining work in 4 days.

Therefore, the remaining person will take 4 days to finish the work.

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A line passes through point −9, 7 and has a slope of −43, the equation of the line in the =+AxByC form is 43x + y = -380.

To write the equation of a line in the form of Ax + By = C, we need to find values for A, B, and C.

We know that the line passes through the point (-9, 7) and has a slope of -43. We can use the point-slope form of the equation to find the equation of the line:

y - y1 = m(x - x1)

Where m is the slope and (x1, y1) is a point on the line.

Substituting the values we know:

y - 7 = -43(x + 9)

Expanding and rearranging:

y - 7 = -43x - 387

43x + y = -380

Thus, the equation of the line in the =+AxByC form is 43x + y = -380.

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f(-2) = 151, means if Miguel hikes 2 miles to the south, his elevation would be 151 feet. This interpretation is true in the context of the problem

f(4) = 151, means if Miguel hikes 4 miles to the north, his elevation would be 266 feet. This interpretation is true in the context of the problem

f(1.5) = 170.25, means if Miguel hikes 1.5 miles to the north, his elevation would be 170.25 feet. This interpretation is true in the context of the problem

Based on the observation above, it is clear that an appropriate domain of the function is x ≥ - 2.

Based on the information provided, the elevation h (in feet), of Miguel with respect to time when he hikes x miles north can be modeled by this quadratic function:

f(x) = (x + 3)² + 150

When x = -2, the quadratic function for his elevation is given by:

f(-2) = (-2 + 3)² + 150

f(-2) = 1 + 150

f(-2) = 151 feet.

When x = 4, the quadratic function for his elevation is given by:

f(4) = (4 + 3)² + 150

f(4) = 49 + 150

f(4) = 199 feet.

When x = 1.5, the quadratic function for his elevation is given by:

f(1.5) = (1.5 + 3)² + 150

f(1.5) = 49 + 150

f(1.5) = 170.25.

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Answer:

1/1

Step-by-step explanation:

The domain is the set of input or x-values.

The domain of the given function includes all values between - 4 and 4, both inclusive:

The range is the set of output or y-values.

The range of the given function f(t) includes all values between - 1 and 2, both inclusive:

The value of f(12) for the function f(x) = (x - 4)/16 is 0.5.

Here we have been given the function

f(x) = (x - 4)/16

This function models the expression (x - 4)/16. This implies that we will get a different value of f(x) for every different value of x.

Now here we have been given to find the value of f(12). This implies that we need to find the value of f(x) = (x - 4)/16 when the value of x is 12.

Hence, to find f(12) we need to replace x with 1 in the function. This will give us

(12 - 4)/16

= 8/16

= 0.5

Therefore, f(12) is 0.5

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In this hypothetical query, the key phrase is:leading word = x3.leading Coefficient is 2,1 is a fixed term.

An equation is a mathematical statement that states that two expressions are equal. It is written in the form of an equation, with an equals sign (=) between the two expressions. Equations can be used to solve for a single unknown variable, or to show a relationship between multiple variables. Equations can be used to describe the behavior of physical systems, such as the motion of a projectile, or to describe the properties of chemical reactions. Equations are also used to describe the behavior of abstract concepts, such as the rate of growth of a population over time.

There is no connected polynomial; taking the hypothetical

Answer:

leading word = x3.

leading Coefficient is 2

1 is a fixed term.

Detailed explanation:

Considering a fictitious circumstance;

Any polynomial, like 2x3 + 3x + 1,

This is how the polynomial is written: ax3 + bx + c

In this case, a = leading Coefficient;

leading phrase = x3

Constant phrase =

as a result;

In this hypothetical query, the key phrase is:

leading word = x3.

leading Coefficient is 2

1 is a fixed term.

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In this hypothetical query, the key phrase is leading word x³.leading Coefficient is 2,1 is a fixed term.

What is equation?

An equation is a mathematical statement that states that two expressions are equal. It is written in the form of an equation, with an equals sign (=) between the two expressions. Equations can be used to solve for a single unknown variable, or to show a relationship between multiple variables. Equations can be used to describe the behavior of physical systems, such as the motion of a projectile, or to describe the properties of chemical reactions. Equations are also used to describe the behavior of abstract concepts, such as the rate of growth of a population over time.

There is no connected polynomial; taking the hypothetical

Answer:

leading word x³.

leading Coefficient is 2

1 is a fixed term.

Detailed explanation:

Considering a fictitious circumstance;

Any polynomial, like 2x³ + 3x + 1,

This is how the polynomial is written: ax³ + bx + c

In this case, a leading Coefficient;

leading phrase = x³

Constant phrase =

As a result;

In this hypothetical query, the key phrase is:

leading word = x³.

leading Coefficient is 2

1 is a fixed term.

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The probability that all 3 stolen books are not English novels is 0.6667

Given data ,

If there are 12 books in total, and 4 are English novels, then 8 are not English novels.

When 3 books are stolen, there are 9 books left, out of which 8 are not English novels.

The probability that the first stolen book is not an English novel is 8/9.

The probability that the second stolen book is also not an English novel is 7/8 (since there are now only 8 books left).

The probability that the third stolen book is also not an English novel is 6/7 (since there are now only 7 books left).

So the probability that all 3 stolen books are not English novels is:

(8/9) * (7/8) * (6/7) = 0.6667

Hence , the probability is 0.667

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Step-by-step explanation:

The two angles form a straight line (180 degrees)

4x-5       +    x+40     = 180   degrees

5x + 35 = 180

5x = 145

x = 29

Part(A),
The given digits can be used to create 300 even four-digit numerals.

Part(B),

These four-digit numbers come in a set of 60.

A. If the numbers must be even:

The units digit has six options: 2, 4, 6, 8, or 0. The units digit cannot be 1, 3, 5, 7, or 9, as they are all odd numbers.

Use any of the last five digits; for the hundreds digit, use any of the last four digits. The tens digit can be represented by any of the last three digits.

The sum of the digits 1, 3, 5, 7, 8, and 9 yields the following number of even four-digit numbers:

5 × 5 × 4 × 3 = 300

The given digits can be used to create 300 even four-digit numerals.

A. If the sum is less than three thousand:

Four-digit numbers are less than 3000, hence a thousand digits must be 1. There are five possibilities for the units digit (since we cannot use 1 or 3).

With each digit appearing just once or twice, the total number of four-digit numbers that may be made that are fewer than 3000 is:

5 × 4 × 3 = 60

There are 60 such four-digit numbers.

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To achieve your retirement goal of withdrawing $50,000 each year for 15 years after retirement, while earning 7% interest, you will need to deposit approximately $3,671.95 each year for the next 30 years. This calculation is based on the concept of annuity, which takes into account the future value of money and the time value of money. By consistently depositing this amount over the next 30 years, your account will accumulate enough funds to support your retirement withdrawals.

The number of ways members of the Subcommittee can be chosen from the Committee is 12,077,462,720.

Number is a mathematical object used to count, measure, and label. It is a concept used in math, science, and everyday life. Number has been around since the dawn of time and is an integral part of the universe. Numbers can be used to identify objects, measure quantities, and understand relationships between things. They are also used to represent abstract concepts, such as money, time, and space. Numbers can be used to solve problems and make decisions.

The number of ways members of the Subcommittee can be chosen from the Committee is equal to the number of combinations of 8 Republicans and 7 Democrats out of the total 23 members. This can be calculated using the combination formula, which is:

C(23, 8) x C(15, 7) = 12,077,462,720

The combination formula is defined as C(n,r) = n!/(r!(n-r)!), where n is the total number of members in the Committee (23) and r is the number of Republicans and Democrats from the Subcommittee (8 and 7, respectively). In this case, the n! term is equal to 23!, which is 8,314,814,080, and the r! term is equal to 8! x 7!, which is 40,320. Therefore, 12,077,462,720 is the total number of ways members of the Subcommittee can be chosen from the Committee.

This number can also be interpreted as the number of possible permutations of the 8 Republicans and 7 Democrats within the Subcommittee. This means that there are 12,077,462,720 ways to assign the 8 Republicans and 7 Democrats to the Subcommittee, without changing the number of Republicans and Democrats in the Subcommittee.

In conclusion, the number of ways members of the Subcommittee can be chosen from the Committee is 12,077,462,720. This number can be calculated using the combination formula, and it represents the number of possible permutations of the 8 Republicans and 7 Democrats within the Subcommittee.

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