Write an expression equivalent to 1 5 x + 10.

Answer:

where is the x supposed to be?

Step-by-step explanation:

Answer: 1/25 -9

Step-by-step explanation:

Answer:

- \(\frac{1}{5}\) ( x + 45 )

Step-by-step explanation:

Given

- \(\frac{1}{5}\) x - 9 ← factor out - \(\frac{1}{5}\)

= - \(\frac{1}{5}\) ( x + 45 )

\(\lim {x\to 0}\left(\frac{\left(sin\left(\frac{\pi }{3} x\right)-sin\:\left(\frac{\pi }{3}\right)\right)}{x}\right)=\lim {x\to0} (f(x)/x) =\frac{\pi}3\)

To find the limit of this expression as x approaches 0, we can use the fact that the derivative of the sine function is the cosine function.

The derivative of the sine function is given by:

f'(x) = cos(x)

Using this formula, we can find the derivative of the expression inside the parentheses:

f(x) = sin(π/3x) - sin(π/3)

f'(x) = (π/3) * cos(π/3x) - 0

As x approaches 0, the cosine function approaches 1, so we can simplify the expression as follows:

f'(x) = (π/3) * 1 = π/3

Therefore, the limit of the expression as x approaches 0 is:

lim {x→0} (f'(x)) = lim {x→0} (π/3) = π/3

Therefore, the answer is:

lim {x→0} (f(x)/x) = π/3

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There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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Answer:

\(x = 4\)

Step-by-step explanation:

\(5x + 2 = 22\)

\(5x = 20\)

\(x = 4\)

\(\small\bold{5x + 2 = 22 }\)

Subtract 2 from 22 :

\(\small\bold{ 5x + 2 = 22}\)

\(\small\bold{5x = 22 - 2 }\)

Simplify :

\(\small\bold{5x = 20 }\)

Now , Divide 5x by 20 :

\(\small\bold{ \frac{5x}{20}}\)

\(\small\bold{x = 4 }\)

Answer:

The first shape

Step-by-step explanation:

as you can tell the side numbers are increasing for example...

triangle=3 sides

square=4 sides

pentagon=5 sides

so on and so forth

have a wonderful day!

Answer:

the Hexagon

Step-by-step explanation:

The pattern is adding one side to each shape. So after 5, it would be 6. And the shape that has six sides is the hexogon.

Answer:

f(-4) = -8

Step-by-step explanation:

Okay fo if f(n) is f(-4), then n = -4.

f(-4) = 3/4n - 5

f(-4) = 3/4 (-4) -5

f(-4) = -3 - 5

f(-4) = -8

Hope this helps and I hope u have an Amazing day!!

Answer:

8(3+4p)

Step-by-step explanation:

8 goes into 24 and 32, so it can be factored out:

\(24+32p=8(3+4p)\)

Answer:

8(3 + 4p)

Step-by-step explanation:

Factor 24 + 32p

First, factor out the GCF. In this case, the GCF is 8, and we have

8(3 + 4p)

We can't factor anymore so the answer is 8(3 + 4p)

Answer:

4833 m

Step-by-step explanation:

Given that her angle of elevation at the first recording is 47.3 at an altitude of 4900 m

We use Pythagoras Theorem to get this done

We can say that the opposite of the angle is the altitude, while the hypotenuse of the triangle, is the distance between herself and the top

Using the sine angle rule, we have

Sine 47.3 = 4900 / h

h = 4900 / sin 47.3

h = 4900 / 0.7349

h = 6668 m

This means that she was 6668 m away from the top of the mountain

She then moves 1000 m closer to the mountain top, this means that our h = 6668 - 1000

Using the same sine angle rule, we have

Sine 58.5 = o / 5668

o = 5668 * sine 58.5

o = 5668 * 0.8526

o = 4833 m

She is 4833 m above the sea level

Answer:

The surface area is \(325.4m^2\)

The lateral surface area is: \(292.4m^2\)

Step-by-step explanation:

Given

\(L = 3m\) -- Length

\(H =17.2m\) --- Height

\(W = 5.5m\) --- Width

See attachment for prism

Solving (a): The surface area

This is calculated as:

\(S.A = 2 * (LW + WH + LH)\)

This gives:

\(S.A = 2 * (3*17.2 + 17.2 * 5.5 + 3 * 5.5)\)

\(S.A = 2 * (51.6 + 94.6 + 16.5)\)

\(S.A = 2 * 162.7\)

\(S.A = 325.4m^2\)

Solving (b): The lateral surface area

This is calculated as:

\(L = 2 * (L + W) * H\)

So, we have:

\(L = 2 * (3 +5.5) * 17.2\)

\(L = 2 * 8.5 * 17.2\)

\(L = 292.4m^2\)

The approximate height of the tree is given as follows:

45.6 ft.

The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.

The altitude segment for this problem is given as follows:

14.5 ft.

The bases are given as follows:

5.2 ft and x ft.

Hence the value of x is given as follows:

5.2x = 14.5²

x = 14.5²/5.2

x = 40.4 ft.

Hence the height of the three is given as follows:

5.2 + 40.4 = 45.6 ft.

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Answer:

-3

Step-by-step explanation:

The top left box on the x axis is negitive 3

Answer:

-4/15

Step-by-step explanation:

-3/5 = -9/15
1/3 = 5/15
(-9/15) + 5/15 = -4/15

Hope this helps :)

Answer:

- 4/15

Step-by-step explanation:

1) Remove parentheses.

-3/5 + 1/3

2) Simplify.

- 4/15

Answer: B

Step-by-step explanation:

Answer:

Its b

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

1. Add the rates in terms of houses per day.

  1/4 + 1/7 = (7+4)/28 = 11/28

Then the time required in terms of days per house is the reciprocal of this:

  28/11 = 2 6/11 . . . . days to paint a house, working together

__

2. Each hour, the vehicles separate by 55 -40 = 15 miles. Then the time required for a separation of 25 miles is ...

  time = distance/speed = (25 mi)/(15 mi/h_ = 5/3 h = 1 2/3 h

The vehicles will be separated by 25 miles after 1 2/3 hours.

Answer:60.97

Step-by-step explanation: tan 49 = opposite/adjacent = x/53

tan 49 = x/53

tan 49/1 = x/53

53 tan 49 = x

x = 60.969

x = 60.97

The height of tree is 60.97 feet tall on the ground is 53 feet from the tree.

Trigonometry uses the first six fundamental trigonometric functions. Trigonometric proportions are these functions. The six fundamental trigonometric functions are the sin function, cosine function, secant function, and so on.

As per the data given in the question,

tan 49° = opposite/adjacent

tan 49° = x/53

tan 49/1 = x/53

x = 53 tan 49°

x = 60.969 or,

x = 60.97 feet. (rounding off value)

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Based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.

To determine whose purple paint will be redder based on the percent of red paint, we need to compare the ratios of red paint to the total paint used by Isaiah and Casho.

Isaiah's Ratio:

Isaiah mixes 3 cups of blue paint and 7 cups of red paint, making a total of 3 + 7 = 10 cups of paint.

To calculate the percent of red paint, we divide the amount of red paint (7 cups) by the total amount of paint (10 cups) and multiply by 100 to get the percentage:

Red paint percentage for Isaiah = (7 cups / 10 cups) * 100 = 70%

Casho's Ratio:

Casho mixes 4 cups of blue paint and 13 cups of red paint, making a total of 4 + 13 = 17 cups of paint.

To calculate the percent of red paint, we divide the amount of red paint (13 cups) by the total amount of paint (17 cups) and multiply by 100 to get the percentage:

Red paint percentage for Casho = (13 cups / 17 cups) * 100 = 76.47% (rounded to two decimal places)

Comparing the percentages, we can see that Casho's purple paint will be redder because Casho's paint has a higher percentage of red paint (76.47%) compared to Isaiah's paint (70%).

Therefore, based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.

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Answer: The radius of the circle is 5 3/8 inches.

Step-by-step explanation:

The radius of the circle is half of the diameter. We can start by converting the mixed number diameter to an improper fraction:

10 3/4 = (10 × 4 + 3)/4 = 43/4

So, the diameter of the circle is 43/4 inches. The radius is half of this, which we can find by dividing by 2:

r = (43/4) ÷ 2 = 43/8

To simplify the fraction, we can divide the numerator and denominator by their greatest common factor (GCF), which is 1:

r = 43/8 = 5 3/8

Therefore, the radius of the circle is 5 3/8 inches.

Answer:5 3/4

Step-by-step explanation:

10 3/4 * 1/2

1/2 * 43/4 = 43/8

8/43=5 3/4

The equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is 16 = 2 1/2 + 2 1/4b (option b)

To start with, we know that the farmer picks 16 quarts of berries. Out of those, 2 1/2 quarts cannot be used, which means the farmer has 16 - 2 1/2 quarts of berries that can be used to make jam.

Now, the recipe requires 2 1/4 quarts of berries to make one batch of jam. Let's represent the number of batches of jam the farmer can make with the remaining berries as "b".

Therefore, the equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is written as,

=> 16 = 2 1/2 + 2 1/4b

Hence the correct option is (b).

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Answer:

C

Step-by-step explanation:

Points are written as (x,y)

So in (4,-1) x = 4 and y = -1

Looking at a graph if you go to the right 4 units the x axis and down one unit you will be at point (4,-1)

The graph that shows this would be c

Answer:

Step-by-step explanation:

the 2nd choice looks good Emily

y > x

y > x+2

y>x and y>x+2 is the  systems of inequalities describes the shaded region in the graph below.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

A relationship between two expressions or values that are not equal to each other is called 'inequality.

Unless you are graphing a vertical line the sign of the inequality will let you know which half-plane to shade.

If the symbol ≥ or > is used, shade above the line.

If the symbol ≤ or < is used shade below the line.

y>x and y>x+2 is the inequality describes the shaded region in the graph below as it is greater.

Hence, y>x and y>x+2 is the  systems of inequalities describes the shaded region in the graph below.

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Answer:

273.295 m^3

Step-by-step explanation:

Well I'm going to assume your talking about the volume first. :> So, let's find the orange one first cuz yes.

The rectangular prism has the volume of 8.5 x 5.7 x 4.3 and I think you should just use a calculator but I'll just tell you that the volume of this one is 208.335

Now we need to find the volume of the triangular prism which has side lengths of 3.5 6.4 and 5.8 . Now we must remember the strategy for finding the volume of a triangular prism is different because the formula is
V =(1/2)× b × h × l so lets plug in our values. Well, first 3.5 x 6.4 x 5.8 is 129.92 and then we multiply that by 1/2 and I'll tell you that it's 64.96

Finally, let us add the two values to find the total area. 208.335 + 64.96 is... 273.295 now remember the units it meters cubed!

Using the null hypothesis test we calculate that variance is less than 6.25 .

Data sample is 0.05.

20 people make up the sample.

And ,

The theories are:

H₀ : μ² = 6.25

H₁ : μ² < 6.25

The critical value = 10.117.

If the test statistic is less than this number, the null hypothesis will be rejected. When the p-value is less than or equal to your significance level, we reject the null hypothesis. The alternative theory, which contends that the effect is widespread, is supported by your sample data. The null must be removed when the p-value is low, as a mnemonic device.

This is the test statistic:

2.976 × 19 / 6.25 = 9.047.

Therefore, we disregard the null hypothesis. The difference is less than 6.25 since it is not 6.25.

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To find the missing angle measure, we need to use the fact that the sum of angles in a triangle is 180 degrees. Let's denote the missing angle as x. We know that one angle is 38 degrees and another angle is 12.5 degrees.Therefore, the missing angle measure is 129.5 degrees.

By subtracting these two angles from 180 degrees, we get:

180 - 38 - 12.5 = 129.5

Without additional information, it is not possible to determine the remaining parts of the triangle. We would need the lengths of at least one side or the measures of other angles to solve for the missing parts.

The given information states that AC is equal to AB minus mzB. Without knowing the values of AB and mzB, we cannot determine the exact length of AC. We would need additional information to solve for the length of AC.Therefore, the missing angle measure is 129.5 degrees.

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Answer:

a.

a - q = a + sx

a - a - q = a - a + sx

-q = sx

\(\frac{-q}{s} = \frac{sx}{s}\)

x = \(\frac{-q}{s}\)

b.

kx - bf = \(\frac{fy}{m}\)

m(kx - bf) = m(\(\frac{fy}{m}\))

mkx - mbf = fy

\(\frac{mkx - mbf}{f}\) = \(\frac{fy}{f}\)

y = \(\frac{mkx - mbf}{f}\)

y = \(\frac{mkx}{f}\) - \(\frac{mbf}{f}\)

y = \(\frac{mkx}{f}\) - mb

c.

a - q = a + sx

a - a - q = a - a + sx

-q = sx

-q × (-1) = sx × (-1)

q = -sx

d.

kx - bf = \(\frac{fy}{m}\)

m(kx - bf) = m(\(\frac{fy}{m}\))

m(kx - bf) = fy

\(\frac{m(kx - bf)}{kx - bf}\) = \(\frac{fy}{kx - bf}\)

m = \(\frac{fy}{kx - bf}\)

Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

To determine the average speed at which Sphenathi and the other matriculants must travel to reach Uptington by 09:45, we need to calculate the time available for the journey and the distance between the two locations.

The time available is from 07:25 to 09:45, which is a total of 2 hours and 20 minutes. We need to convert this time to hours by dividing by 60:

2 hours + 20 minutes / 60 = 2.33 hours

Now, let's calculate the distance between Bloemfontein and Uptington. Suppose the distance is 'd' kilometers.

We can use the formula for average speed: average speed = distance / time

In this case, the average speed should be such that the distance divided by the time is equal to the average speed.

d / 2.33 = average speed

Now, let's assume that Sphenathi and the other matriculants must travel a distance of 250 kilometers to reach Uptington. We'll substitute this value into the equation:

250 / 2.33 = average speed

To find the average speed to the nearest km/h, we'll calculate the result:

average speed ≈ 107.3 km/h

Therefore, Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

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Answer:

Down Bellow

Step-by-step explanation:

A  5:3

B  15:9

C  20:?

*Not sure 4 20:

Answer:

Check the table.

Step-by-step explanation:

For edmentum.