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do all of the questions and I give you brainlist .make sure they are right ​

Answer:

1. a logarithm with a natural base of 10 is called a common logarithm.

2. "a" in the exponential form y = ax is called a base number.

3. equivalent form of an exponential function is called a logarithm.

4. a logarithm with a natural base of e is called a natural logarithm.

5. a function in the form of y = ax is called an exponential function.

6. "x" in the exponential form y = ax is called an exponent.

7. rectangular arrangement used to organise data is called a matrix.

I hope this helps. Good luck!

The correct matches are 1-G, 2-B, 3-C, 4-A, 5-F, 6-D, and 7-E.

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent \(\rm y = a^x\)

where a is a constant and a>1

1. A function in the form of y = aˣ is the exponential function.

2. "x" in the exponential form y = aˣ is the exponent.

3. A logarithm with a natural base of e is called a natural logarithm.

4. The rectangular arrangement used to organize data is a matrix.

5. "a" in the exponential form y = aˣ is the base number.

6. A logarithm with a natural base of 10 is called a common logarithm.

7. The equivalent form of an exponential function is called logarithm.

Thus, the correct matches are 1-G, 2-B, 3-C, 4-A, 5-F, 6-D, and 7-E.

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Option B, Justice is one of four ethical concepts. The definition states that there must be fairness in all medical judgments.

Four ethical principles: autonomy, benevolence, harmlessness, and justice. Each of these principles serves a specific purpose, but all four work together to empower you as healthcare professionals and ensure that your patients receive high-quality, ethical care.

The literal concept of autonomy and the medical concept of autonomy diverge and intersect. Charity is an act of compassion or mercy. The activities of all healthcare workers should always be positive. Of the four principles of medical ethics, harmlessness is the most important.

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Answer:

sin a= 4/5 tan b=3/5

im not 100% sure but im open for suggestions

Here’s what you need to know about intercepts. The x intercept of a graph has y coordinate zero. The y intercept of a graph has x coordinate zero.

AN EXAMPLE OF THIS IS:

So if you have a function y = 2x + 8 you would set x = 0 to find the y intercept. So we would get y = 8. To find the x intercept we would set y = 0 and get 0 = 2x + 8

or -8 = 2x or x = -4

Now if you have a more difficult like function y = 3x^2 + 10x - 4 we proceed the same way. To find the y intercept we would set x = 0 and get y = -4 so the y intercept is (0,-4)

To find the x intercept we would set y = 0 and get 3x^2 + 10x - 4 = 0. If you know the quadratic formula you could solve this by:

x = [-b +- SR(b^2 - 4*a*c] / 2a

so in our case x = [-10 +- SR(100 - 4*3*(-4))] / (2*3)

x = [-10 +- SR(100 + 48)] / 6

x = [-10 +- SR (148)] / 6

x = [-10 +- 12.2] / 6 approximately

x = [-10 - 12.2] / 6 or [-10 + 12.2 / 6]

x = -22.2/6 or 2.2/6

Cost can refer to the amount of money or resources used in the production of a good or service, or the amount of money or resources used in the completion of a project. Generally, cost is the total amount of money or resources required to do something. Cost can be calculated by adding up the costs of each resource used or by multiplying the quantity of each resource used by the cost of that resource. Cost can also be determined by using a cost estimating technique, such as a cost-benefit analysis.

Nicole's equation: 7T + 7C = 63

Alberto's equation: 14T + C = 61

Cost of tulip bulb packages = (63 - 7C) / 7

To calculate the cost of tulip bulb packages, take the total amount of Nicole's sales ($63) and subtract the cost of the crocus bulb packages (7C). Then we divide the result by the number of tulip bulb packages (7).

Cost of crocus bulb packages = (61 - 14T) / 1

To calculate the cost of crocus bulb packages, take the total amount of Alberto's sales ($61) and subtract the cost of the tulip bulb packages (14T). Then we divide the result by the number of crocus bulb packages (1).

Cost of tulip bulb packages = $8.71

Cost of crocus bulb packages = $4.43

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The base and exponent of −2^4 are

Base: -2

Exponent: 4

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

-2^4

In the expression -2^4, -2 is the base and 4 is the exponent.

The base is the number that is being multiplied by itself and the exponent is the number of times the base is being multiplied by itself.

In this case the base is -2 and the exponent is 4.

So the expression -2^4 means -2 multiplied by itself 4 times.

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The correct option for generating values for this simulation is:

Use a random digit table to generate two-digit numbers, ignoring any besides 40 and 10. Use 40 for clothing, 40 for footwear, 10 for housewares, and 10 for athletic gear.

This method allows you to accurately simulate the store's sales split among the four areas, as it uses the correct percentages and generates random values within the appropriate range. The other options do not accurately reflect the store's sales split or use the correct percentages.

Answer:

x=10

Step-by-step explanation:

y=mx+b

y=9x+100

190=9x+100

x=10

Answer:

9x + 100 = 190

Step-by-step explanation:

Where x is hours.

John has : $8.25

Based on the given conditions formulate :

5 + 2 × x = 21.5

5 + 2x = 21.5

2x = 21.5 - 5

2x = 16.5

Divide both sides by 2

\( \frac{2x}{2} = \frac{16.5}{2} \)

\(x = 8.25\)

Answer:

57 liters

Step-by-step explanation:

Answer

1.0/5

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Yoko's fish tank has 17 liters of water in it. She plans to add 5 liters per minute until the tank has at least 57 liters. What are the possible numbers of minutes Yoko could add water?

Answer:

Minutes = 8 minutes

Step-by-step explanation:

Topic: Inequality

Given:

Available Size of water = 17 liters

Increment = 5 liters/minute

Size of water needed = At least 57 liters

Putting the above together, as have

17 + 5m > 57

where m represents total minutes and > represent at least

Solving the Inequality

5m > 57 - 17

5m > 40 ------ Divide through by 5

5m/5 > 40/5

m > 8

So, Yoko will need to add water for at least 8 minutes before she fills her tank to 57 liters.

The solution to the equation 9 × (3 ÷ x) = 26 is x = 1.038.

To solve the equation 9 × (3 ÷ x) = 26 for x, we can follow these steps:

Simplify the expression on the left side of the equation:

9 × (3 ÷ x) = 26

27 ÷ x = 26

Multiply both sides of the equation by x to eliminate the division:

(27 ÷ x) × x = 26 × x

27 = 26x

Divide both sides of the equation by 26 to solve for x:

27 ÷ 26 = (26x) ÷ 26

1.038 = x

As a result, x = 1.038 is the answer to the equation 9 (3 x) = 26.

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Azimuth is the angle measured in a horizontal circle around your horizon.

In this question,

The horizon angle is the maximum upwind slope in wind exposure / sheltering studies.

A line from the center of the Earth which continues through the observer's body and the top of the observer's head. This line is zenith.

Azimuth is the coordinate direction that runs parallel to the horizon and rotates clockwise from north (0 degrees) to east (90 degrees) to south (180 degrees) to west (270 degrees) back to north (360 degrees).

The meridian is an imaginary North-South line running through the zenith.

Therefore, Azimuth is the angle measured in a horizontal circle around your horizon.

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The height of the tree and its shadow, and the height of the person and its shadow, at the same time of the day, form two similar right triangles:

Since both triangles are similar, then the corresponding sides are at the same ratio so that:

From this expression, you can determine the height of the tree, just multiply both sides of the equal sign by 5:

The height of the tree is 15 feet.

Answer:

2: add 4

3: 6

5: multiply by 2

6: 7

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

If you see the same number used as an x-coordinate more than once, it is not a function.

O{(-4,9), (-9,3), (1,7),(-6, 6)}

O {(-9,5), (3,5), (0,1),(-6,8)}

o {(8,-1),(4,-4),(4, -3), (9,5)}  --->   4 is used twice as an x-coordinate

O{(-2,-2), (-1,0), (0, -5),(-9,-5)}

Answer: C

Answer:

20

Step-by-step explanation:

Answer:

56 cm^2

Step-by-step explanation:

Surface area is just finding the areas of each face in a figure. As we are given a net of a figure, it is much easier for us to calculate it.

Area of square base (side^2)

4^2 = 16 cm^2

Area of ONE triangular face (1/2 x b x h):

1/2 x 4 x 5 = 10 cm^2

Multiply that by 4 because we have 4 triangular faces: 10 cm^2 x 4 = 40 cm^2

ADD all the areas of triangles and square:

16 cm^2 + 40 cm^2 = 56 cm^2

HOPE THIS HELPS

Have a nice day!

Answer:

\((x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} = c^{2}\)

\(V(x_{1}, y_{1}) = V(4, 4)\\X(x_{2}, y_{2}) = V(5, 8)\\\)

\((5-4)^{2} + (8-4)^{2} = c^{2}\\1^{2} + 4^{2} = c^{2}\\\)

\(1+16=c^{2}\\17= c^{2}\\c = \sqrt{17}\)

Step-by-step explanation:

Start by plotting your points.

If the line is diagonal, then realize you can make a triangle with the line connecting the two points being the hypotenuse.

Use Pythagorean Theroem to solve.

The distance between V(4,4) and X(5,8) is √17 unit.

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

|AC|^2 = |AB|^2 + |BC|^2    

First find the difference of between the 2 points V(4,4) and X(5,8) to find the length of the legs.

The distance between 4 and 5 = 1

The distance between 4 and 8 = 4

So,

1^2 + 4^2 = c^2

1 + 16 = c^2

17 = c^2

√17 = c

Therefore, the distance between V(4,4) and X(5,8) is √17 unit.

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Since           A = 2πrh       [divide both sides by 2πh]

⇒   (A ÷ 2πh)  = r

Answer:

98 degrees .............

To find out how many gallons of milk Teresa can buy if she spends her entire $120 budget on milk, we need to divide her budget by the price of milk per gallon. So, $120 ÷ $2 = 60 gallons of milk.

Teresa can buy if she spends her entire $120 budget on yogurt, we divide her budget by the price of yogurt per container. Therefore, $120 ÷ $6 = 20 containers of yogurt.

Therefore, Teresa can buy 60 gallons of milk if she spends her entire budget on milk, and she can buy 20 containers of yogurt if she spends her entire budget on yogurt.

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If Teresa spends her entire $120 on milk, she can buy 60 gallons of milk. If she spends her entire $120 on yogurt, she can buy 20 containers of yogurt.

Teresa's yearly budget of $120 can be used to buy milk and yogurt. If she spends the entire amount on milk, we need to determine how many gallons of milk she can buy. The price of milk is $2 per gallon. To find the number of gallons, we divide the total budget by the price per gallon:

$120 / $2 = 60 gallons

Therefore, Teresa can buy 60 gallons of milk if she spends her entire budget on milk.

Now let's consider if Teresa spends her entire $120 on yogurt. The price of yogurt is $6 per container. To find the number of containers, we divide the total budget by the price per container:

$120 / $6 = 20 containers

Therefore, Teresa can buy 20 containers of yogurt if she spends her entire budget on yogurt.

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A number line goes from negative 2 to positive 8. A closed circle is at negative 2. Everything to the right of the circle is shaded.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.

An inequality is given as:

⇒ (-5/2)x - 3 ≤ 2

⇒  (-5/2)x  ≤ 2 + 3

⇒  (-5/2)x  ≤ 5

⇒ x  ≥ 5 (-2/5)

⇒ x  ≥ -2

The required graph has been attached which shows the solution set for a number line goes from negative 2 to positive 8. A closed circle is at negative 2. Everything to the right of the circle is shaded.

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c. (x1, x2) = (5, 3) d. (x1, x2) = (3, 5) are The feasible solutions.

To determine if a solution is feasible, we need to check if it satisfies all the constraints.

For solution (a):

10x1 + 5x2 = 10(5) + 5(0) = 50 (satisfies constraint 1)

x1 + 2x2 = 5 + 2(0) = 5 (does not satisfy constraint 2)

Therefore, solution (a) is not feasible.

For solution (b):

10x1 + 5x2 = 10(5) + 5(1) = 55 (satisfies constraint 1)

x1 + 2x2 = 5 + 2(1) = 7 (does not satisfy constraint 2)

Therefore, solution (b) is not feasible.

For solution (c):

10x1 + 5x2 = 10(5) + 5(3) = 65 (satisfies constraint 1)

x1 + 2x2 = 5 + 2(3) = 11 (satisfies constraint 2)

Therefore, solution (c) is feasible.

For solution (d):

10x1 + 5x2 = 10(3) + 5(5) = 55 (satisfies constraint 1)

x1 + 2x2 = 3 + 2(5) = 13 (satisfies constraint 2)

Therefore, solution (d) is feasible.

For solution (e):

10x1 + 5x2 = 10(0) + 5(5) = 25 (does not satisfy constraint 1)

x1 + 2x2 = 0 + 2(5) = 10 (satisfies constraint 2)

Therefore, solution (e) is not feasible.

The feasible solutions are (c) and (d).

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The answer of the function is: \(f(x) = (8/5)x^_5\)\(− (3/2)x^4\)\(+ (5/3)x\³ + cx + d\).

The given function is \(f''(x) = 32x^3 − 18x^2 + 10x\) To find the function f, we need to integrate the given function twice.

The integral of f''(x) with respect to x is given by:

\(∫f''(x) dx = \int (32x^\³ − 18x\² + 10x) dx\)

The antiderivative of 32x³ is \(8x^4\) and the antiderivative of 18x² is \(6x^3\)

, and the antiderivative of 10x is 5x².

Thus,∫f''(x) dx =\(8 x^4 \−6x^3 + 5x\² + c\)

Where c is the constant of integration.The antiderivative of f'(x) is the function f(x).Thus, we integrate the above function again to get the value of f(x).

∫f'(x) dx =\(\int(8x^4\− 6x^3 + 5x\² + c) dx\)

The antiderivative of 8x^4 is (8/5)x^5 and the antiderivative of \(-6x^3\) is \((-3/2)x^4\), the antiderivative of 5x² is (5/3)x³, and the antiderivative of c is cx.

Then,∫f'(x) dx = \((8/5)x^5\− (3/2)x^4 + (5/3)x\³ + cx + d\)

Where d is the constant of integration.Finally, the function f(x) is given by:

f(x) =\((8/5)x^5\− (3/2)x^4 + (5/3)x\³ + cx + d\)

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To answer this question, we need to follow the steps given to us. First, we need to draw the graph of the function f(x) = 2^x+3.

To do this, we can start by making a table of values and plotting points on the coordinate plane.

x | f(x)
--|-----
-2 | 1/8
-1 | 1/4
0 | 1
1 | 8
2 | 11
3 | 16

Once we have a few points plotted, we can connect them with a smooth curve to get the graph of f(x) = 2^x+3.

Next, we need to translate the graph down 4 units and draw the new graph. To do this, we simply subtract 4 from the function. So the new function is g(x) = 2^x-1.

We can repeat the process of making a table of values and plotting points to get the new graph.

x | g(x)
--|-----
-2 | 1/8 - 1
-1 | 1/4 - 1
0 | 1 - 1
1 | 8 - 1
2 | 11 - 1
3 | 16 - 1

Again, we can connect the points with a smooth curve to get the new graph.

Finally, we need to find the equation of the new graph. We already know that the new function is g(x) = 2^x-1, so that is the equation of the new graph.

In summary, we first drew the graph of f(x) = 2^x+3, then translated it down 4 units to get the new graph of g(x) = 2^x-1. The equation of the new graph is g(x) = 2^x-1.

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Answer:

see explanation

Step-by-step explanation:

Using the rule of radicals

\(\sqrt{a}\) × \(\sqrt{b}\) = \(\sqrt{ab}\) , then

\(\sqrt{72}\)

= \(\sqrt{36(2)}\)

= \(\sqrt{36}\) × \(\sqrt{2}\)

= 6\(\sqrt{2}\)

\(\sqrt{77}\) is in simplest form, and cannot be simplified further

The variance of the sum Z = X + Y is 5.

What is Variance?

A set of numerical data's spread or dispersion is measured by the term "variance." It describes the deviation of a data set's values from its mean (average). The variance indicates how evenly distributed the data is; conversely, the variance indicates how closely the data is grouped around the mean.

If X is a Poisson-distributed random variable with mean X = 3 and Y is a second Poisson-distributed random variable with mean Y = 2, and X and Y are independent, then the variance of the sum Z = X + Y is given by:

Var(Z) = Var(X) + Var(Y) = μX + μY = 3 + 2 = 5.

So, the variance of the sum Z = X + Y is 5.

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If y is a second Poisson distributed random variable with a mean of 2, and both x and y are independent Poisson distributed random variables, then the variance of the sum Z = X + Y is 5.

What is Variance?

A set of numerical data's spread or dispersion is measured by the term "variance." It describes the deviation of a data set's values from its mean (average). The variance indicates how evenly distributed the data is; conversely, the variance indicates how closely the data is grouped around the mean.

If X is a Poisson-distributed random variable with mean X = 3 and Y is a second Poisson-distributed random variable with mean Y = 2, and X and Y are independent, then the variance of the sum Z = X + Y is given by:

Var(Z) = Var(X) + Var(Y) = μX + μY = 3 + 2 = 5.

So, the variance of the sum Z = X + Y is 5.

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The cold will it get if it' 50c outside and the temperature will drop 70c in next 3 hour is -20 c.

Given:

If it' 50 c outside and the temperature will drop 70 c in next 3 hour.

Temperature (cold) = present temperature - temperature in next 3 hour.

= 50 - 70

= -20 c.

Therefore the cold will it get if it' 50c outside and the temperature will drop 70c in next 3 hour is -20 c.

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Answer:

x = 31

Step-by-step explanation:

Given that the triangles are congruent, then corresponding angles are congruent, then

∠ D = ∠ A

The sum of the 3 angles in a triangle = 180° , thus

∠ A = 180° - (61 + 57)° = 180° - 118° = 62°

Thus

2x = 62 ( divide both sides by 2 )

x = 31