PLEASE HELP ! Which inequality represents “nine more than three times a number is greater than 21”.
A. 9n > 21
B. 9+ 3 > 21
C. 3n +9 > 21
D. 9n + 3 > 21

Therefore, she should use approximately 18.67 ounces of Solution A and 121.33 ounces of Solution B to obtain a mixture with 70% salt.

Let x represent the number of ounces of Solution A and y represent the number of ounces of Solution B.

We can set up the following system of equations based on the given information:

Equation 1:

x + y = 140 (total number of ounces in the mixture)

Equation 2:

(0.05x + 0.8y) / 140 = 0.7 (desired salt concentration of 70%)

To solve this system of equations, we can use the substitution or elimination method.

Using the substitution method:

From Equation 1, we have y = 140 - x.

Substituting this into Equation 2, we get (0.05x + 0.8(140 - x)) / 140 = 0.7.

Simplifying the equation:

(0.05x + 112 - 0.8x) / 140 = 0.7

(112 - 0.75x) / 140 = 0.7

112 - 0.75x = 0.7 * 140

112 - 0.75x = 98

-0.75x = 98 - 112

-0.75x = -14

x = -14 / -0.75

x = 18.67 (approximately)

Substituting the value of x back into Equation 1, we get:

18.67 + y = 140

y = 140 - 18.67

y = 121.33 (approximately)

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Answer:

25

Step-by-step explanation:

2 to the power of 3 gives 8-3 =5times 5 = 25

Answer:

What?, haha... can you finish the sentence, or put a picture, cause i'm not understanding this

Step-by-step explanation:

confusion 101

To find the measure of angle BOC, set the expressions for m∠AOD and m∠BOC equal and solve for x. Then substitute the value of x back into the expression for m∠BOC to find its measure, which is 30°.

To find the measure of angle BOC, we can set the expressions for m∠AOD and m∠BOC equal to each other and solve for x.

7x - 5 = 3x + 15

Subtract 3x from both sides: 4x - 5 = 15

Add 5 to both sides: 4x = 20

Divide both sides by 4: x = 5

Now that we know x = 5, we can substitute it back into the expression for m∠BOC to find its measure.

m∠BOC = (3x + 15)° = (3*5 + 15)° = 30°

Therefore, the measure of ∠BOC is 30°, which corresponds to option B.

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The side lengths of an equiangular octagon are 1, 2, 3, 4, 1, 2, 3, and 4 in clockwise order so area of octagon is 11 + 12√2 square units.

The sides of octagon are 1, 2, 3, 4, 1, 2, 3, 4 as shown in the figure,

The area of the octagon = area of the rectangle - the area of the four right isosceles triangular corners.

A = (lxb) - 1/2[√2×√2 + √8×√8]x2

A = [(3+√2+√8)(1+√2+√8)] -1/2[√2×√2 + √8×√8 + √2×√2 + √8×√8]

A = 3 + 12√2 +7

A = 11 + 12√2

Therefore, The area of the octagon is 11 + 12√2 square units.

A closed two-dimensional shape having eight sides, eight vertices, and eight internal angles is known as an octagon. An octagon is referred to as a regular octagon if all of its sides and internal angles are of equal length; otherwise, it is referred to as an irregular octagon. The next sections also discuss the various octagon types, such as convex and concave octagons.

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Answer:

c. start fraction 5 over 6 end fraction

Step-by-step explanation:

there are six numbers on a cube

1, 2, 3, 4, 5, 6

there are 5 other numbers other than 6

5/6

5 = other than 6

6 = total numbers

Answer

B. 500 pi

Step-by-step explanation:

Step-by-step explanation:

q3) if the given sequence is 1, 2, 4, 8, 16..., then it is not arithmetic one. The common ratio is 2: 16/8=8/4=4/2=2/1.

q4) if it is given -34; -64; -94; -124; -154..., then it is arithmetic sequence, where the difference is -64--34=-94--64=-124--94=-154--124= -30

Solution

The graph

The vertex of a parabola is the point at the intersection of the parabola and its line of

symmetry

Any other point is a point on the graph, you can choose any desired point on the graph

Answer:

809

Step-by-step explanation:

787 susifx

The correct answer is (b) all real numbers except odd multiples of π/2. The domain of validity for cscθ (cosecant) is restricted because cosecant is undefined when the sine of an angle is zero.

In the trigonometric identity cscθ = 1/sinθ, the denominator sinθ becomes zero at odd multiples of π/2 (such as π/2, 3π/2, 5π/2, etc.), resulting in a division by zero error. Therefore, the cosecant function is not defined for these values of θ.

For all other real numbers θ, the sine function is non-zero and well-defined, allowing us to calculate the reciprocal of the sine and determine the value of the cosecant. Hence, the domain of validity for cscθ is all real numbers except odd multiples of π/2, as stated in option (b).

It's important to note that in trigonometry, the domain of validity is determined by avoiding any values that would lead to undefined expressions or division by zero errors.

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The domain of validity for csc θ = 1/sin θ is all real numbers except multiples of π, because at these points the sine function equals zero, and division by zero is undefined.

In mathematics, the cosecant function (csc), is defined as the reciprocal of the sine function, or 1/sinθ. The domain of a function are all the possible input values that will yield real numbers (output). For the csc function, its domain includes all real numbers except where the denominator is zero because division by zero is undefined.

In the unit circle context, sine equals zero at 0, π, 2π, ..., and the negative counterparts. Basically, these are the multiples of π. Thus, for the csc function, the domain is all real numbers except multiples of π, which matches option d in your choices.

The domain of validity for csc θ = 1/sin θ is all real numbers except multiples of π.

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The estimated hourly production of excavation using the tractor-mounted ripper is approximately 3.84e-5 Bm³/hour.

To estimate the hourly production of excavation using the tractor-mounted ripper, we need to consider the depth of excavation, spacing between shanks, ripping speed, maneuver and turn time, the seismic velocity of the limestone, and job efficiency.

Depth of excavation per pass (d) = 0.61 m

Spacing between shanks (s) = 0.91 m

Ripping speed (v) = 2.4 km/hr

Maneuver and turn time per pass (t_maneuver) = 0.9 min

Seismic velocity of limestone (v_seismic) = 1830 m/s

Job efficiency (E) = 0.70

First, let's calculate the time required for each 152 m pass (t_pass):

t_pass = (152 m / v) * 60 minutes/hr

Substituting the given ripping speed:

t_pass = (152 m / (2.4 km/hr)) * 60 minutes/hr

= (152 m / 2.4) * 60 minutes/hr

≈ 608 minutes

Next, we need to calculate the effective ripping time per pass (t_ripping):

t_ripping = t_pass - t_maneuver

Substituting the given maneuver and turn time:

t_ripping = 608 minutes - 0.9 minutes

≈ 607.1 minutes

Now, let's calculate the excavation volume per pass (V_pass):

V_pass = (d * s) / 1000 Bm³

Substituting the given depth of excavation per pass and spacing between shanks:

V_pass = (0.61 m * 0.91 m) / 1000 Bm³

≈ 0.00055651 Bm³

To calculate the excavation rate per minute (R_minute), we use the equation:

R_minute = V_pass / t_ripping

Substituting the values of V_pass and t_ripping:

R_minute = 0.00055651 Bm³ / 607.1 minutes

≈ 9.16e-7 Bm³/minute

Since the ripping speed is given in km/hr, we need to convert the excavation rate to Bm³/hour by multiplying R_minute by 60:

R_hour = R_minute * 60 minutes/hr

Substituting the value of R_minute:

R_hour = 9.16e-7 Bm³/minute * 60 minutes/hr

≈ 5.49e-5 Bm³/hour

Finally, to estimate the hourly production, we multiply the excavation rate by the job efficiency:

Hourly production = R_hour * E

Substituting the values of R_hour and job efficiency:

Hourly production = 5.49e-5 Bm³/hour * 0.70

≈ 3.84e-5 Bm³/hour

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Ensuring that all rows impacted by the actions of a transaction are protected from changes until the entire transaction is completed is called "transaction isolation" or "atomicity."

Transaction isolation refers to the property of database transactions that ensures that a transaction appears to occur all at once, without any interference or changes from other concurrent transactions. It guarantees that the effects of a transaction are isolated and not visible to other transactions until the transaction is successfully completed and committed.

By enforcing transaction isolation, database systems maintain data integrity and prevent inconsistent or partial updates caused by concurrent transactions. It ensures that the changes made by a transaction are either applied in their entirety or not at all, providing a reliable and consistent view of the data to the users.

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Answer:

I think 20,000 sheets of paper

Step-by-step explanation:

800 x 25 is 20,000

Answer:

The school has 20,000 sheets of paper.

Step-by-step explanation:

800 sheets in one pound

800X25=20,000

Answer:

D

Step-by-step explanation:

f(x) =x(x-9)

X(x-9)=0

X2-9x=0

X2-9x+0=0

(X2-9X)

x(x-9)=0

X-9=0

X=9

X+0=0

X=0

The first step we need to take in order to solve the question is to calculate the length of the wheel. The length of a circle cna be found with the following expression:

The diameter of the wheel is 24 inches, therefore:

Each complete turn on the wheel moves the truck 24*pi inches. The wheel is turning at a rate of 455 rotations per minute, therefore in one minute the distance traveled by the truck is:

The speed of the truck is 10920*pi inches per minute. We need to convert this to miles per hour. To do that we need to divide the expression by 1056.

The speed of the truck in miles per hour is 10.34*pi

Answer:

93

Step-by-step explanation:

The sum of the three angles of any triangle is equal to 180 degrees

Therefore,

180-41-46=93

The image given is a transformation of a parabola along the y-axis; y = x^2  is a parabola with vertex at (0,0). y=x^2 +2 is a parabola shifted/transated two units upwards since 2 is being added to the whole equation. The vertex is at (0,2) now.

To graph the parabola, you can follow these steps:

1. Choose a range of x-values over which you want to plot the parabola. For example, you can select a range from -5 to 5 to capture the shape of the parabola adequately.

2. Substitute different values of x into the equation y = x^2 - 2 to obtain corresponding y-values.

3. Plot the points (x, y) obtained from the substitution in step 2 on the graph.

4. Connect the plotted points smoothly to create the curve of the parabola.

Remember to label the x-axis, y-axis, and the parabola itself to provide context and clarity to the graph.

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\(\pink{\bigstar}\) \(\large\leadsto\boxed{\tt\purple{x = -3}}\)

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ \(\sf 2x - 6 = 5x + 3\)

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ \(\sf 2x - 5x - 6 = 3\)

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ \(\sf - 3x = 3 + 6\)

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ \(\sf - 3x = 9\)

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ \(\sf x = \dfrac{9}{-3}\)

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

★ \(\large{\bold\red{x = -3}}\)

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore, the value if x is -3.

Answer:

\(2x - 6 = 5x + 3 \\ x \: terms \: togather \\ 2x - 5x = 3 + 6 \\ - 3x = 9 \\ - x = \frac{9}{3} \\ - x = 3 \\ x = - 3 \\ thank \: you\)

The ratiο οf the time Sam spends wοrking fοr his mοther tο the time he spends wοrking fοr his father per year is 1/6 οr 1:6. Thus, οptiοn D is cοrrect.

The relative size οf twο quantities expressed as the quοtient οf οne divided by the οther; the ratiο οf a tο b is written as a:b οr a/b.

If Sam wοrks fοr his father fοr 2/5 οf the year, then he wοrks fοr his mοther fοr the remaining time, which is 1 - 2/5 = 3/5 οf the year.

Tο find the ratiο οf the time Sam spends wοrking fοr his mοther tο the time he spends wοrking fοr his father per year, we can write:

Sam wοrked fοr his father = 2/3 οf year

Remaining time = 1/3

Sam wοrked fοr his mοther = 1/3(remainder year)=(1/3)*(1/3)

     =1/9

Ratiο οf time spent fοr mοther and father is

= (1/9):(2/3)

=(1/3):2

= 1:6

Sο, οptiοn d) 1/6 is cοrrect answer

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Complete question:

Sam works for his father for 2/3; of the year and works for his mother = of the remainder year. What is the

ratio of the time Sam spends working for his mother to the time he spends working for his father per year?

The integral that determines the volume of the solid of revolution is:

∫[0, 2] (π * (x² - (-x + 2))) dx

To find the volume of the solid of revolution, we need to integrate the difference between the two curves, y = x² and y = -x + 2, over the interval [0, 2].

First, let's determine the points of intersection between the two curves. Setting x² equal to -x + 2, we get x² + x - 2 = 0. Solving this quadratic equation, we find x = 1 and x = -2. However, since the shaded area is bounded by x = 0, we only consider the positive root x = 1 as the point of intersection.

Now, let's express the difference between the curves as a function of x, which gives us (x² - (-x + 2)). The shaded region between the curves can be thought of as a series of thin cylindrical disks with varying radii, formed by rotating the difference function around the x-axis.

To calculate the volume of each disk, we use the formula for the volume of a cylinder, V = π * r² * h, where r is the radius and h is the height. In this case, the radius is given by the difference function (x² - (-x + 2)) and the height is the differential element dx.

Finally, we integrate the expression for the volume over the interval [0, 2] to obtain the total volume of the solid of revolution:

∫[0, 2] (π * (x² - (-x + 2))) dx

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Hello there!

Grace has $105 for pizzas and a cake.

She sets aside $25, so we subtract:

105-25=80

So she has $80 for pizzas.

Now, to find out how many pizzas Grace can buy, we take $80 and divide it by the price of one pizza (9.25):

The approximate answer is 8.6

Hope it helps

~Just a gloomy teen who misses her best friend

#CarryOnLearning

\(SilentNature\)

The range of the data set is 16 inches.

The range of a data set represents the difference between the highest and lowest values in the set. In this case, the data set consists of the following heights (in inches):

59, 62, 62, 62, 64, 66, 67, 67, 67, 71, 72, 75

To find the range, we need to determine the minimum and maximum values in the set. By sorting the data set in ascending order, we can identify the minimum and maximum values more easily:

59, 62, 62, 62, 64, 66, 67, 67, 67, 71, 72, 75

The smallest value in the set is 59, which is the minimum value, and the largest value is 75, which is the maximum value.

To calculate the range, we subtract the minimum value from the maximum value:

Range = Maximum value - Minimum value

Range = 75 - 59

Range = 16 inches

Therefore, the range of the given data set is 16 inches. This means that the difference between the tallest and shortest student in the class is 16 inches.

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Answer:

  5x +14y = -21

Step-by-step explanation:

One way to write the equation of a line from two points is ...

  (y2 -y1)(x -x1) -(x2 -x1)(y -y1) = 0

  (1 -(-4))(x -7) -(-7 -7)(y -(-4)) = 0

  5(x -7) +14(y +4) = 0

  5x +14y -35 +56 = 0

  5x +14y = -21 . . . standard form equation of the line

Answer:

The patio is actually 24 feet long.                      

Step-by-step explanation:

Key words you need to know here are scale is 1 millimeter = 2 feet and patio is 12 millimeters long.

The question is asking how long is the actual patio, not in the scale drawing, in real life.

To solve this I'm going to set up a ratio, the scale being 1 ratio and the other ratio being 12 millimeters over blank. It's going to look like this :

\(\frac{1mm}{2 ft}\) = \(\frac{12mm}{x}\)

To solve for x we cross multiply.

1(x) = 12(2)

x = 24

So the actual patio is 24 feet long.

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Answer:

that's all i know please comment if it's wrong

Analyze each statement to see if it is supported by the dot plots or not.

A) More time is spent on homework than exercise.

Find the total time spent on each activity to compare

The correct answer is option B. 232.6 mg/mL which is the concentration of the vial after reconstitution.

To determine that 232.6 mg/mL is the concentration of the antibiotic vial after reconstitution, we need to calculate the amount of antibiotic in grams divided by the final volume in milliliters.

The vial states that it needs to be reconstituted with 8.6 mL of sterile water for a final volume of 10 mL. This means that the antibiotic will be dissolved in 8.6 mL of sterile water.

Since the vial contains 2 grams of antibiotic, the concentration can be calculated as follows:

Concentration = Amount of antibiotic (g) / Final volume (mL)

Concentration = 2 g / 8.6 mL

Simplifying the expression, we get:

Concentration ≈ 0.2326 g/mL

Therefore, the correct option is B) 232.6 mg/mL, the concentration of the vial after reconstitution.

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The ATI Capstone Comprehensive Assessment evaluation normally comprises of multiple-choice questions, with 90 to 130 possible answers. Certain versions may also include extra alternative questions kinds, such as fill-in-the-blank or select-all-that-apply

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