Solve - 2x - 15 = 6x + 9.

01) 3

2) -3

3) -1

4) 6

Answer:

a c and e

Step-by-step explanation:

Answer:

The difference of the algebraic expression is 2. 7m² - 4n² - 8. 2m

To represent the difference in standard form is leave in the power or exponent of a variable or number.

Given the expression

(2.7m^2 - 3.1n) - (4n^2 + 5.1m)

First, expand the brackets

2. 7m² - 3.1 m - 4n² - 5. 1m

Then, collect like terms

2. 7m² - 4n² - 3.1m - 5. 1m

Subtract like terms, we have

2. 7m² - 4n² - 8. 2m

The difference of the algebraic expression gives 2. 7m² - 4n² - 8. 2m

Thus, the difference of the algebraic expression is 2. 7m² - 4n² - 8. 2m

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Answer:

0.8

Step-by-step explanation:

80 percent is 80/100. Decimal point 100 would be just 1. Hence 80 percent would be 0.8/

Answer:  3/2

Step-by-step explanation:

Answer:

\(k = -\frac{1}{5}\) -- Constant

\(y = -\frac{x}{5}\) -- Equation

Step-by-step explanation:

Given

\(\{(-15, 3), (-5, 1), (0, 0), (10, -2)\}\)

Solving (a): The constant of variation

The given parameter is of the form (x,y) and the variation constant is calculated using:

\(k = \frac{y}{x}\)

For:(-15,3), k is calculated as

\(k = \frac{y}{x}\)

\(k = \frac{3}{-15}\)

\(k = -\frac{1}{5}\)

For (-5,1)

\(k = \frac{y}{x}\)

\(k = \frac{1}{-5}\)

\(k = -\frac{1}{5}\)

The equation is calculated using the following rule:

\(y = kx\)

Substitute \(-\frac{1}{5}\) for k

\(y = -\frac{1}{5} * x\)

\(y = -\frac{x}{5}\)

The dimensions of the box that will have the greatest volume are:

Length and width of the base: 2√3 feet

Height: h = (36 - x^2) / 8x = (√3)/2 feet

Let the length and width of the base be x, and let the height be h.

The surface area of the top is x^2, and the surface area of the remaining four sides is \(2(xh + xh) = 4xh\).

The cost of the top is \(x^2\), and the cost of the remaining four sides is \(2(4xh) = 8xh\). Therefore, the total cost is:

\(C(x,h) = x^2 + 8xh\)

We know that the total cost is $36, so we have:

\(x^2 + 8xh = 36\)

Solving for h, we get:

\(h = (36 - x^2) / 8x\)

The volume of the box is given by:

\(V(x,h) = x^2h\)

Substituting h in terms of x, we get:

\(V(x) = x^2 ((36 - x^2) / 8x)\)

Simplifying, we get:

\(V(x) = (1/8) x (36x - x^3)\)

To find the dimensions of the box that will have the greatest volume, we need to find the value of x that maximizes V(x). We can do this by taking the derivative of V(x) with respect to x, setting it equal to 0, and solving for x:

\(V'(x) = (1/8) (36 - 3x^2) = 0\)

Solving for x, we get:

x = 2√3

Therefore, the dimensions of the box that will have the greatest volume are:

Length and width of the base: 2√3 feet

Height: \(h = (36 - x^2) / 8x\) = (√3)/2 feet

The volume of the box is:

\(V = x^2h\)= (2√3)^2 ((√3)/2) = 9√3 cubic feet

Note: To confirm that this value represents the maximum volume, we can check that V''(x) < 0, which indicates a maximum point. We have:

\(V''(x) = (1/8) (-6x) = -3x/4\)

At x = 2√3, V''(x) = -3(2√3)/4 = -3√3/2 < 0, so this is indeed a maximum point.

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Justin is taking an anti-flammatory drug and he must receive 6 milligrams for each 17 kg of weight.

Justin's weight is 244 pounds i.e., 110.677 Kg.

Theerfore, the amount of anti flammatory drug he needs is

Therefore, Justing needs 39.063 miiligrams of anti flammatory drug.

Answer:

-3y

Step-by-step explanation:

Take the square root of each term inside the radical to get rid of the radical. The square root of 9 is 3 and the square root of y^2 is y, so the square root of 9y^2=3y. Put the negative back in front and you get -3y.

Answer:

57 students

Step-by-step explanation:

Since 6 students count not fit and they had to go in cars, there is a remainder of 6. Subtract that from the total, 405, and you get 399.

Then, divide that by 7, and you get the answer. 57.

Hope it helps!

Answer:

57 students

Step-by-step explanation:

405-6=399

399÷7=57

Answer:

I didn't know kindergardeners had Brainly.

The value of m∠SRT as shown in the circle below is 46.5°.

A circle is a round-shaped figure that has no corners or edges.

To calculate the value of m∠SRT, use the formula below

Formula:

But,

From the diagram,

Given:

Substitute these values into equation 2

Finally we substitute the value m∠SUT into equation 1

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Answer:

14c-16

Step-by-step explanation:

Answer:

14c - 16

Step-by-step explanation:

2( 7c - 8 )  All you do is distribute:

14c - 16

Ace

The negation of the proposition posed the statement is:

"Every student in this class has seen a computer."

The negation of the proposition "There is a student in this class who has never seen a computer" can be expressed using quantifiers as follows:

∀ x ∈ S, ∃ y ∈ C (x has seen y)

This means "For all students x in the class S, there exists a computer y in the set of computers C such that x has seen y."

In English, the negation of the proposition can be expressed as "Every student in this class has seen a computer."

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Answer:

X hope it helps

Joe is about 10 times more likely to bowl at least three strikes out of four tries than to bowl zero strikes out of four tries.

To find the probability of Joe bowling at least three strikes out of four tries, we need to consider the different combinations of strikes and non-strikes he can get.

There are four possible outcomes:
- strike, strike, strike, non-strike
- strike, strike, non-strike, strike
- strike, non-strike, strike, strike
- non-strike, strike, strike, strike

The probability of getting a strike is 0.6, and the probability of not getting a strike (a non-strike) is 0.4. So for each outcome, we can calculate the probability as follows:

- Probability of strike, strike, strike, non-strike = 0.6 x 0.6 x 0.6 x 0.4 = 0.0864
- Probability of strike, strike, non-strike, strike = 0.6 x 0.6 x 0.4 x 0.6 = 0.0864
- Probability of strike, non-strike, strike, strike = 0.6 x 0.4 x 0.6 x 0.6 = 0.0864
- Probability of non-strike, strike, strike, strike = 0.4 x 0.6 x 0.6 x 0.6 = 0.0864

To find the probability of Joe bowling at least three strikes, we need to add up the probabilities of the last three outcomes, since they all have at least three strikes:

0.0864 + 0.0864 + 0.0864 = 0.2592

So the probability of Joe bowling at least three strikes out of four tries is 0.2592, or about 26% (rounded to the nearest whole number).

To find the probability of Joe bowling zero strikes, we can use the same approach:

- Probability of non-strike, non-strike, non-strike, non-strike = 0.4 x 0.4 x 0.4 x 0.4 = 0.0256

So the probability of Joe bowling zero strikes out of four tries is 0.0256, or about 3% (rounded to the nearest whole number).

To find how many times more likely it is for Joe to bowl at least three strikes than to bowl zero strikes, we can divide the probability of the first outcome by the probability of the second outcome:

0.2592 / 0.0256 = 10.125

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The best way to display this data would be in a contingency table or a cross-tabulation table.

What is the frequency?

The number of periods or cycles per second is called frequency. The SI unit for frequency is the hertz (Hz). One hertz is the same as one cycle per second.

The birth order would be shown in one column with three categories (oldest, in-between, youngest), and the IQ test scores would be shown in another column with different categories or ranges of scores.

The table would show the frequency or percentage of individuals in each cell of the table, which would help to determine if there is a relationship between birth order and IQ scores.

A graphical display, such as a stacked bar chart or a mosaic plot, could also be used to visualize the relationship.

Hence, The best way to display this data would be in a contingency table or a cross-tabulation table.

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The area of the parcel of land is 226934.799 square feet.

Given:

a triangular parcel of land has sides of lengths 590 feet, 980 feet and 1423 feet.

a).

Let a = 590 , b = 980, c = 1423  lengths

s = semi-perimeter

= 1/2(a+b+c)

= 1/2(590+980+1423)

= 1496.5

s-a = 1496.5-590

= 906.5

s-b = 1496.5-980

=516.5

s-c = 1496.5-1423

= 73.5

Heron's formula for area:

A = \(\sqrt{(s(s-a)(s-b)(s-c))}\)

= √1496.5(906.5)(516.5)(73.5)

= √51499402997.4

≈ 226934.799

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To figure this out we keep in mind two rules

1. A triangles sum of angles is 180

2. An angle of a triangle can not be 0

So the answer is the following

2, 3 & 4

(っ◔◡◔)っ ♥ Hope It Helps ♥

(b) No, The branch manager's argument that dispatching buses every 0.5 minutes will reduce the average traveling time (a round trip) to 3.5 minutes is not correct.

To calculate the average time, we need to consider the time it takes for the bus to travel to the airport and back, as well as the time spent waiting for the bus.

If buses are dispatched every 3 minutes, and the average traveling time (a round trip) is 21 minutes, it means that passengers spend 18 minutes waiting for the bus (21 minutes - 3 minutes of traveling time).

If buses are dispatched every 0.5 minutes, the waiting time will be significantly reduced. However, the traveling time remains the same at 21 minutes for a round trip.

Therefore, the average traveling time will not be reduced to 3.5 minutes but will remain at 21 minutes (assuming the traveling time remains constant).

(c) The average traveling time, following the branch manager's suggestion of dispatching buses every 0.5 minutes, would still be 21 minutes.

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Complete question:

The Avis Company is a car rental company and is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus from its offices to the airport every 3 minutes. The average traveling time (a round trip) is 21 minutes.

(a) The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank).

c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time ____(mins) (enter the numbers only)

Answer:

6 feet

Step-by-step explanation:

240 feet : 10 inches

24 feet    : 1 inch

? feet       : 1/4 inch

to get from 1 to a 1/4 you divide by 4, so you do 24 ÷ 4

24 ÷ 4 = 6

Answer:

6 ft

Step-by-step explanation:

First, make this visually understandable using a ratio:

240 ft = x ft

10 in     \(\frac{1}{4}\) in

To find the change between the inches,

1/4 ÷ 10 = 0.025

Use this same amount to find x ft:

240 (0.025) = 6

x = 6 ft

To double-check:

240/10 = 24

6/0.25 = 24

☺

Answer:

A

Step-by-step explanation:

an asymptote is a tangent to the function out in infinity (+ or -, x or y). a line that stands for the limit the function tends toward but will never reach (hence "infinity").

A is the right answer, because x²+16 never turns 0, so there is no break to "infinity" anywhere, and the function is continuous. and both numerator and denominator are polynomials of 2nd degree. so, for larger and larger x both get closer and closer to each other with the limit being x²/x² = 1.

so the horizontal asymptote is y = 1.

for a better understanding of the subject matter let's look at the other answer options, and why they are wrong.

B

it has the same limit 1 for larger and larger x, but because of x²-16 in the denominator it is not a continuous function.

at x = +4 and x = -4 this turns the denominator 0, which creates 2 undefined points and therefore 2 breaks in the function.

C

is ultimately a line function. it is a x² polynomial divided by a x polynomial, resulting in a x polynomial. a line has no asymptote.

D

this is kind of the opposite of C.

it is a x polynomial divided by a x² polynomial, resulting in a 1/x polynomial expression.

the limit of 1/x for larger and larger x is 0 and not 1.

Step-by-step explanation:

for the prime number it's 1/2

The greatest possible integer of the inequality is 19.902.

What is the inequality?

In mathematics, inequalities specify the relationship between two non-equal values. Equal does not imply inequality. Typically, we use the "not equal symbol (≠)" to indicate that two values are not equal. But various inequalities are used to compare the values, as to if it is less than or greater than. The different inequality symbols, properties, and methods for resolving linear inequalities inside one variable and two variables will all be covered in this article along with examples.

Given that,

3.806< 19.902

In which, less than inequality is used.

The given numbers are in decimal form.

comparison be between the given numbers and check which one is greater.

3.806< 19.902

19.902 is the greater than 3.806

Hence, the greatest possible integer is 19.902.
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Answer: 4/10, or 40%, or 24

Step-by-step explanation: 2/10+4/10 is 6/10, which is 60-36, which is 24. This means the remaining 24 pies are neither apple or peach.

Number of pies that were neither apple nor peach = 24

Fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given,

Total pies sold last month = 60

No. of apple pies = 2/10 of 60

                             = 2 × 60/10

                             = 12

No. of peach pies = 4/10 of 60

                              = 4 × 60/10

                              = 24

Pies that are neither apple nor peach pie

= Total pies - (No. of apple pies + No. of peach pies)

= 60 - (12 + 24)

= 60 - 36

= 24

Hence, 24 pies are neither apple nor peach.

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Tim drove at a distance of 511 km in 7 h. His average driving speed in km/h is 73.

By computing Tim's average driving speed, we have to divide the total distance that he traveled by the time it takes him to complete the whole journey. In this respect, Tim drove a total distance of 511 km in 7 hours.

Average driving speed = Total distance/Total time taken

By putting the values in the equation we get :

Average driving speed =\(\frac{ 511 km}{7 h}\)

Now by computing  the average driving speed:

Average driving speed = 73 km

So, Tim's average driving speed was 73 km/h.

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The counterclockwise circulation of F along C is −7 and the outward flux of the curl of F over R is 32.

To apply Green's theorem, we first need to find the curl of the vector field F:

∇ × F = (∂F₂/∂x − ∂F₁/∂y)k = (7 − (-1))k = 8k

where F₁ = 7x − y and F₂ = 8y − x.

Now we can use Green's theorem to relate the circulation of F along the boundary curve C to the outward flux of the curl of F over the region R enclosed by C:

∮C F · dr = ∬R (∇ × F) · dA

Since C is the boundary of the square region R, we can compute the circulation and flux separately along each side of the square and then sum them up.

Along the bottom side of the square (from (0,0) to (1,0)), we have F = (7x, 0) and dr = dx, so

∮C1 F · dr = ∫0¹ 7x dx = 7/2

and

∬R1 (∇ × F) · dA = ∫0¹ ∫0¹ 8 dz dx = 8

Along the right side of the square (from (1,0) to (1,1)), we have F = (7, 8y − 1) and dr = dy, so

∮C2 F · dr = ∫0¹ (8y − 1) dy = 7/2

and

∬R2 (∇ × F) · dA = ∫0¹ ∫1² 8 dz dy = 8

Similarly, along the top and left sides of the square, we get

∮C3 F · dr = −7/2, ∬R3 (∇ × F) · dA = 8

∮C4 F · dr = −7/2, ∬R4 (∇ × F) · dA = 8

Therefore, the total counterclockwise circulation of F along C is

∮C F · dr = ∑∮Ci F · dr = (7/2 − 7/2 − 7/2 − 7/2) = −7

and the total outward flux of the curl of F over R is

∬R (∇ × F) · dA = ∑∬Ri (∇ × F) · dA = (8 + 8 + 8 + 8) = 32.

So the counterclockwise circulation of F along C is −7 and the outward flux of the curl of F over R is 32.

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Null hypothesis: There is no significant difference in the performance of the five sorghum cultivars under rainfed conditions.

Blocking: The blocking in this study was useful as indicated by the non-significant F-value for the blocks. It helps reduce the impact of potential confounding factors by creating homogeneous groups within the experiment.

Efficiency of experimental design: It cannot be determined from the given information whether another experimental design would have been more efficient.

Target population: The target population in this study is the set of all sorghum cultivars under rainfed conditions.

Null hypothesis: The null hypothesis for this study would state that there is no significant difference in the performance of the five sorghum cultivars under rainfed conditions. This means that the means of the treatments (sorghum cultivars) are equal.

Blocking: The blocks in the study were used to control for any potential variability among different locations or environmental conditions. By assigning each treatment randomly within each block, the effect of the blocking factor can be separated from the treatment effect. In this study, the non-significant F-value for the blocks suggests that the blocking was effective in reducing the impact of potential confounding factors.

Efficiency of experimental design: The given information does not provide enough details to determine whether another experimental design would have been more efficient. The choice of design depends on various factors such as the nature of the experiment, available resources, and specific objectives.

Target population: The target population in this study refers to the set of all sorghum cultivars under rainfed conditions. The study aims to draw conclusions about the performance of these cultivars in similar conditions.

Reason for blocking: Blocking may have been used in this study to account for spatial or environmental variation that could potentially affect the performance of the sorghum cultivars. By blocking, the experimenters aimed to create groups of experimental units that are similar within each block, reducing the variability caused by these factors and allowing for a more accurate assessment of the treatment effects.

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Rounding to the nearest hour, it would take the rocket approximately 8 hours to travel to the moon at a speed of 500 miles per minute.

The amount of time it takes a rocket to travel to the moon, we need to divide,

the distance between the earth and the moon (239,000 miles) by the speed of the rocket (500 miles per minute).
So, the calculation would be:

239,000 miles ÷ 500 miles per minute = 478 minutes
To convert this into hours, we need to divide by 60:
478 minutes ÷ 60 = 7.97 hours

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Answer:

\(A=15\ cm^2\)

Step-by-step explanation:

Given that,

The height of the cuboid = 6 cm

The volume of the cuboid = 90 cm²

We need to find the area of the shaded face.

The volume of a cuboid is given by the formula as follows :

\(V=A\times h\)

A is area of the shaded face

Putting all the values,

\(A=\dfrac{V}{h}\\\\A=\dfrac{90}{6}\\\\A=15\ cm^2\)

So, the area of the shaded face is \(15\ cm^2\).