One number is 14 more than another number. Their sum is 58. Find the numbers.

Answer:

54

Step-by-step explanation:

what u gotta do is add 46 with 8 and you can check my answer with 54-46=8

difference means you subtract

sum means you add

product means you multiply

and quotiant means you divide

The required number is 27.

Given that,
To determine the number the difference of a number and 8 is 46 less than the number

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Let the number be x
The difference between a number and 8 is 46 less than the number
8 - x = x - 46
2x = 54
x = 27

Thus, the required number is 27.

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Answer:

1st and 2nd

Step-by-step explanation:

I'm not so sure but I think it's the first and second one

Answer:

a. 45

b. 305

(left side) just sports, (middle) amount that did both, (right side) kids that just did music

Step-by-step explanation:

a. 250 + 145 = 395 395-350 = 45

b. 350-45= 305

ope this helps :)

The part of the coordinate plane that is equidistant from the points A(-3, 2) and B(3, 2) is the horizontal line with a y-coordinate of 2.

The points A(-3, 2) and B(3, 2) have the same y-coordinate, which means they lie on a horizontal line. The midpoint of the line segment AB will also lie on this line.

To find the midpoint, we can average the x-coordinates and the y-coordinates of the two points.

The x-coordinate of the midpoint is (-3 + 3) / 2 = 0 / 2 = 0.

The y-coordinate of the midpoint is (2 + 2) / 2 = 4 / 2 = 2.

Therefore, the midpoint of AB is (0, 2).

Since the midpoint lies on the same horizontal line as the points A and B, any point on this line will be equidistant from A and B. This line is parallel to the x-axis and has a y-coordinate of 2.

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Step-by-step explanation:

6x² - 6x - 72 = 0

Using. Completing the squares method.

6x²/6 - 6x/6 = 72/6

x² - x = 12

Take the coefficient of x, halve and square and add to both sides.

(1/2)² = 1/4

( x + 1/4)² = 12 + 1/4

(x + 1/4)² = 48 + 1 /4

(x + 1/4)² = 49/4

x + 1/2 = 7/2

x = 7/2 ±1/2

x = 4 or x = 3

The normal probability plot determines a normal distribution

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the centre of the range.

Normal distributions are symmetric, uni-modal, and asymptotic, and the mean, median, and mode are all equal

A data set (when graphed) must follow a bell-shaped symmetrical curve centered around the mean

Given data ,

Let the normal distribution be represented as N

Now , the normal probability is P

A normal probability plot, also known as a "normal plot," plots sorted data against values chosen to resemble a straight line in the final image if the data are roughly normally distributed.

Divergences from normalcy are shown by deviations from a straight line.

A straight, diagonal line means that you have normally distributed data. If the line is skewed to the left or right, it means that you do not have normally distributed data.

Hence , the normal probability plot determines a normal distribution

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Answer:

The triangles are not similar

Step-by-step explanation:

You can make a ratio with the corresponding sides of the triangles. When triangles are similar, the ratios are equal.

These will be:

ED:BA = EF:BC = FD:AC

Now, to substitute the numbers and check whether the ratios are equal:

3/8 = 2/5

Already, we see that these ratios are not equal, therefore the two triangles aren't similar.

The measure of angle ABC is given as follows:

m < ABC = 145º.

Two angles are defined as supplementary angles when the sum of their measures is of 180º.

In a parallelogram, we have that the opposite angles are supplementary.

The opposite angles for this problem are given as follows:

Hence the measure of angle ABC is given as follows:

m < ABC + 35º = 180º.

m < ABC = 145º.

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Answer:

3/4,. it's means for every 4 games there's a $3 fee

Step-by-step explanation:

3/4

it's means for every 4 games there's a $3 fee

The probability of drawing the ace of diamonds is determined by the number of possible outcomes (52 cards in a standard deck) and the number of favorable outcomes (1 ace of diamonds). Your answer: a. classical method

The method of assigning probabilities used in this scenario is the classical method, where the probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, there is only one favorable outcome (drawing the ace of diamonds) out of 52 possible outcomes (drawing any card from a standard deck of 52 cards).

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The depth of the water is changing at a rate of approximately 0.39 m/s when the radius of the top of the water is 10 meters.

To find the rate at which the depth of the water is changing, we can use related rates.

Given:
Height of the cone (h) = 8 meters
Base radius (r) = 26 meters
Rate of filling (dV/dt) = 12 m³/s
Radius of the top of the water (x) = 10 meters

First, we establish the relationship between the height and radius of the cone using similar triangles. The ratio of the height to the radius is constant, so we have h/r = 8/26.

Next, we differentiate both sides of the equation with respect to time (t) to find dh/dt in terms of dx/dt. This gives us (dh/dt)/(dr/dt) = 0.3077.

We can then substitute the given values into the equation: (dh/dt)/(dx/dt) = 0.3077. Rearranging the equation, we find that dx/dt = (dh/dt) / 0.3077.

To find the value of dh/dt, we can substitute the given rate of filling, dV/dt = 12 m³/s, into the equation. Solving for dh/dt, we get dh/dt = 3.693 m/s.

Finally, we substitute the values of dh/dt and 0.3077 into the equation to find dx/dt. This gives us dx/dt ≈ 0.39 m/s.

Therefore, the depth of the water is changing at a rate of approximately 0.39 m/s when the radius of the top of the water is 10 meters.

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The categorical syllogism "All meticulously constructed timepieces are true works of art" is invalid. A counterexample can be found by considering a meticulously constructed timepiece that lacks aesthetic value.

To use the counterexample method to prove the categorical syllogism "All meticulously constructed timepieces are true works of art, for all Swiss watches are true works of art and all Swiss watches are meticulously constructed timepieces" invalid, we need to find a counterexample that shows the conclusion is false even if the premises are true. Let's consider a scenario in which there is a meticulously constructed timepiece that is not a true work of art. This would be a counterexample to the conclusion, since the conclusion asserts that all meticulously constructed timepieces are true works of art.

For example, suppose that there is a meticulously constructed timepiece that is made with the sole purpose of accurate timekeeping, and has no aesthetic value. This timepiece can be considered a counterexample to the conclusion, since it is meticulously constructed but not a true work of art.

Therefore, the categorical syllogism "All meticulously constructed timepieces are true works of art, for all Swiss watches are true works of art and all Swiss watches are meticulously constructed timepieces" is invalid, since there exist cases where the premises are true but the conclusion is false.

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Answer

you do 5x+70=110

Step-by-step explanation:

5x+70=110

5x=40

Divide by 5

x=8

Greetings.

The answer is x = -2.

Explanation:

By solving the Absolute-Value Equation. We give them 2 conditions.

When x ≥ 0 and When x < 0

The different is that When x ≥ 0, |x-a| = x-a as defined.

And when x < 0. |x-a| = -x+a as defined.

( 1 ) - When x ≥ 0 for |x-1| and |x+5|

When x ≥ 0, |x-1| = x-1 and |x+5| = x+5

Therefore, x-1 = x+5

\(x-1=x+5\\x-x=5+1\\0=6\)

Because the equation is false. Therefore, The condition (1) doesn't apply.

( 2 ) - When x ≥ 0 for |x-1| and x < 0 for |x+5|

This time, we try another condition.

When x ≥ 0, |x-1| = x-1 and When x < 0, |x+5| = -x-5.

\(x-1=-x-5\\x+x=-5+1\\2x=-4\\x=-\frac{4}{2}\\x=-2\)

And we get the answer, |x-1| = |x+5| when x = -2.

But we haven't tried the last condition.

( 3 ) And that is when x < 0 for both terms.

|x-1| = -x+1 (x < 0)

|x+5| = -x-5 (x < 0)

\(-x+1=-x-5\\-x+x=-5-1\\0=-6\)

The equation is not true. Therefore, the answer is x = -2.

The limit is 0.

We can use the rules of limits to find the limit of the given expression:

lim x → ∞ x - 9 / (\(x^2\) + 5)

To evaluate this limit, we can use the fact that the highest power of x in the numerator and denominator is the same (\(x^2\)), so we can apply the rule of dividing by the highest power of x:

lim x → ∞ x - 9 / (\(x^2\)+ 5) = lim x → ∞ (x/\(x^2\) - 9/\(x^2\)) / (1 + 5/\(x^2\))

Now, as x approaches infinity, the denominator (1 + 5/\(x^2\)) approaches 1, and the first term in the numerator (x/x^2) approaches 0. Therefore, we can simplify the expression to:

lim x → ∞ x - 9 / (\(x^2\) + 5) = lim x → ∞ (-9/\(x^2\)) / 1 = 0

So, the limit is 0.

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Answer:

196 miles

Step-by-step explanation:

To find the distance that the bus drives, we can use the formula:

distance = rate x time

where rate is the average speed and time is the duration of the trip.

In this case, the average speed of the bus is 56 mph and the duration of the trip is 3 1/2 hours. However, it is easier to work with time in terms of a single unit, so let's convert 3 1/2 hours to 7/2 hours:

3 1/2 hours = (2 x 3) + 1/2 hours = 7/2 hours

Now we can plug in the values into the formula:

distance = rate x time

distance = 56 mph x 7/2 hours

We can simplify by multiplying 56 by 7 and then dividing by 2:

distance = (56 x 7) / 2 = 196 miles

Answer:

impossible

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

I just got it right on iready

37,840 is the fox population predicted to be in the year 2019.

What is a growth rate?

The country, territory, or geographic area's yearly average rate of change in population size over a certain time period. It expresses the proportion, usually multiplied by 100, between the annual growth in population size and the total population for that year.

Here, we have

A growth rate of 9% per year means that at the end of each year, the population is 1.09 times what it was at the start of the year.  

We keep this up for t years, starting with an initial population of 20,700, and get

P(n) = 20,700 (1.09)ⁿ

n = years since 2012, when the population was 20,700

For the year 2019,

n = 2019 - 2012 = 7

P(7) = 20,700 (1.09)⁷ ≅ 37,840

Hence, 37,840 is the fox population predicted to be in the year 2019.

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Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

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The solution of the formula  A = 1/2h(b₁ + b₂) for the indicated variable b₂ is (2A/h) -  b₁.

According to the given question.

We have a formula  A = 1/2h(b₁ + b₂).

Since, we have to solve the given formula A = 1/2h(b₁ + b₂) for the indicated variable b₂.

Therefore, the solution of the formula  A = 1/2h(b₁ + b₂) for the indicated variable b₂ is given by

A = 1/2h(b₁ + b₂)

⇒ 2A = h(b₁ + b₂)   (multiplying both the sides by 2)

⇒ 2A/h = b₁ + b₂    (dividing both the sides by h)

⇒  2A/h -  b₁  = b₂   ( subtracting b₁ from both the sides)

⇒ b₂ = (2A/h) -  b₁

Hence, the solution of the formula  A = 1/2h(b₁ + b₂) for the indicated variable b₂ is (2A/h) -  b₁.

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The dividing by 0.5 is not the same as dividing by 2 , because 0.5 and 2 are different numbers  .

Let us understand the Division with the help of example ;

let the number be 10 ;

first we divide the number 10 by 0.5 ;

this can be written mathematically as ⇒ \(\frac{10}{0.5}\)  ;

⇒ \(\frac{10}{\frac{1}{2} }\) = \(10\times2\) = 20 ;

So , on dividing 10 by 0.5 , we get the answer as 20 .

Second , the number 10 is divided by 2 ;

this can be written mathematically as ⇒ \(\frac{10}{2}\) ;

⇒ \(\frac{10}{2 }\)  = 5  ;

So , on dividing 10 by 2 , we get the answer as 5  .

Therefore , dividing by 0.5 is not same as dividing by 2 .

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The angle between the two vectors A and B is 90°.

The angle between two vectors A and B can be found using the formula:

cosθ = (A⋅B)/(|A||B|)

Where A⋅B is the dot product of the two vectors, and |A| and |B| are the magnitudes of the vectors.

First, we need to find the dot product of the two vectors:

A⋅B = (2)(5) + (3)(2) + (-4)(4) = 10 + 6 - 16 = 0

Next, we need to find the magnitudes of the vectors:

|A| = √(2^2 + 3^2 + (-4)^2) = √(4 + 9 + 16) = √29

|B| = √(5^2 + 2^2 + 4^2) = √(25 + 4 + 16) = √45

Now we can plug these values into the formula:

cosθ = (0)/(√29√45) = 0

θ = cos^-1(0) = 90°

Therefore, the angle between the two vectors A and B is 90°.

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The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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I would just say something nice and kind

The  domain relation a consists of all pairs of real numbers whose absolute difference is less than or equal to 2.

The given relation is defined as follows:

a: {(x, y) | x, y ∈ ℝ and |x - y| ≤ 2}

In this relation, the domain is specified as the set of all real numbers, which means that any real number can be used as the input for this relation.

To clarify, if we take any two real numbers, x and y, and the absolute value of their difference, |x - y|, is less than or equal to 2, then the ordered pair (x, y) is included in the relation.

For example, if we choose x = 3 and y = 1, then |3 - 1| = 2, which satisfies the condition |x - y| ≤ 2. Therefore, the ordered pair (3, 1) is in the relation a. Similarly, if we choose x = 2 and y = 4, |2 - 4| = 2, so the ordered pair (2, 4) is also in the relation.

In summary, the relation a includes all ordered pairs (x, y) where the absolute difference between x and y is less than or equal to 2, and it can be used with any real numbers as input.

The relation a is a subset of the Cartesian product of the set of all real numbers with itself, denoted by R × R. In other words, a is a set of ordered pairs (x, y) such that |x - y| ≤ 2, where x and y are real numbers.

For any real numbers x and y, the expression |x - y| represents the absolute value of the difference between x and y. The absolute value of a number is always non-negative, so the inequality |x - y| ≤ 2 means that the distance between x and y on the real number line is less than or equal to 2.

Therefore, the domain of the relation a is the set of all real numbers, since the definition of the relation applies to any two real numbers x and y.

The given relation is defined as follows:

a: {(x, y) | x, y ∈ ℝ, |x - y| ≤ 2}

This relation represents all pairs of real numbers (x, y) where the absolute difference between x and y is less than or equal to 2. In other words, it includes all pairs (x, y) such that the distance between x and y on the real number line is at most 2.

For example, (1, 3) is in the relation a because |1 - 3| = 2, which satisfies the condition |x - y| ≤ 2. Similarly, (5, 6) is in the relation a because |5 - 6| = 1 ≤ 2.

On the other hand, (4, 8) is not in the relation a because |4 - 8| = 4 > 2, violating the condition.

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Answer:

The order of operations tells us the order to solve steps in expressions with more than one operation. First, we solve any operations inside of parentheses or brackets. Second, we solve any exponents. Third, we solve all multiplication and division from left to right.

Step-by-step explanation:

Could I get brainliest and heart please

Coefficient is 2.

It is worth noting that the term "coefficient" is not limited to algebraic expressions.

It is a term used in many areas of mathematics and science, such as in linear equations, trigonometric functions, and chemical reactions.

In each case, the coefficient refers to the numerical factor that is multiplied by a variable or a component in a formula or equation.

In the expression 9x + 2 + 8y, the coefficient of x is 9 and the coefficient of y is 8.

The coefficient is the numerical factor that is multiplied by a variable. In this case, x has a coefficient of 9 because it appears as 9x, which means x is being multiplied by 9.

Similarly, y has a coefficient of 8 because it appears as 8y, which means y is being multiplied by 8.

The constant term, which is a term without a variable, in this expression is 2.

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Answer:1,5

Step-by-step explanation:

gimme brainliest