please can someone solve this
you need to figure out what x is
y=5/2a √6x

Answer: The CORRECT answer is

a=1, b=8, c=6

Step-by-step explanation:

Took the quiz

The values that can be use for a, b and c in the equation 2x² + 7x − 5 = 0 are a = 1, b = 8, c = 6

The quadratic equation formula is represented as follows:

ax² + bx + c

where

Therefore, lets model the quadratic equation x² + 8x + 6 = 0 to ax² + bx + c

Hence,

a = 1

b = 8

c = 6

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Answer:

9x-2x-1

Step-by-step explanation:

Answer:

the 2nd answer

Step-by-step explanation:

Answer: the second answer

The four statistical variability factors affecting weather include:

1. Temperature Variability: Refers to fluctuations in temperature over time, such as daily or seasonal variations.

2. Precipitation Variability: Refers to differences in the amount and distribution of rainfall, snowfall, or other forms of precipitation over time and geographical areas.

3. Wind Variability: Refers to changes in wind speed and direction, which can greatly influence local weather conditions.

4. Atmospheric Pressure Variability: Refers to fluctuations in the air pressure within the Earth's atmosphere, which can result in the formation of high and low-pressure systems that affect weather patterns.
These variabilities are essential to consider when analyzing and forecasting weather.

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Step-by-step explanation:

please mark me as brainlest

To show that the derivative of e^(3x) is equal to 5e^(3x), we can use the power series representation of e^(3x) and differentiate the series term by term.

The power series representation of e^(3x) is:

e^(3x) = 1 + (3x) + (3x)^2/2! + (3x)^3/3! + ...

To differentiate this series, we can differentiate each term with respect to x.

The first term 1 does not depend on x, so its derivative is zero.

For the second term (3x), the derivative is 3.

For the third term (3x)^2/2!, the derivative is 2 * (3x)^(2-1) / 2! = 3^2 * x.

For the fourth term (3x)^3/3!, the derivative is 3 * (3x)^(3-1) / 3! = 3^3 * (x^2) / 2!.

Continuing this pattern, the derivative of the power series representation of e^(3x) is:

0 + 3 + 3^2 * x + 3^3 * (x^2) / 2! + ...

Simplifying this expression, we have:

3 + 3^2 * x + 3^3 * (x^2) / 2! + ...

Notice that this is the power series representation of 3e^(3x).

Therefore, we can conclude that the derivative of e^(3x) is equal to 3e^(3x).

To obtain 5e^(3x), we can multiply the result by 5:

5 * (3 + 3^2 * x + 3^3 * (x^2) / 2! + ...) = 5e^(3x)

Hence, the derivative of e^(3x) is indeed equal to 5e^(3x).

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Answer:

\(Volume = 288in^3\)

Step-by-step explanation:

Given

\(Base\ Cubes = 36\)

\(Layers = 8\)

Required

The volume of the prism

The number of base cubes represents the base area and the number of layers represents the height of the prism.

So, the volume is calculated as:

\(Volume = Base\ Cubes * Layers\) i.e Base Area * Heights

\(Volume = 36 * 8\)

\(Volume = 36in^2 * 8in\)

\(Volume = 288in^3\)

The rate of change of y with respect to x is approximately 0.475

To compute dy/dx, we need to take the partial derivative of P with respect to x and y and then evaluate it at the given values of x and y.

Taking the partial derivative of P with respect to x:

∂P/∂x = \(0.6x^{-0.4} y^{0.4\)

The partial derivative of P with respect to y:

∂P/∂y = \(0.4x^{0.6} y^{-0.6\)

Now, substituting x=100 and y=120,000, we get:

∂P/∂x = \(0.6(100)^{(-0.4)} (120,000)^{0.4\)

≈ 82.41

∂P/∂y = \(0.4(100)^{0.6} (120,000)^{(-0.6)\)

≈ 39.22

dy/dx when x=100 and y=120,000 is approximately:

dy/dx = (∂P/∂y)/(∂P/∂x)

≈ 39.22/82.41

≈ 0.475

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Answer:

7kg

Step-by-step explanation:

mass: amount of matter in a substance,

SI Unit: kg

It has nothing to do with N (weight) in this case so take the kg value as the mass

Answer:

0.71 kg

Step-by-step explanation:

a common equation in physics is w = mg

we can rearrange this to m = w/g

g is the acceleration of gravity: 9.81 m/s^2

w is the weight of the given equation of the object: 7 kg

so m = 7 kg ÷ 9.81 m/s^2

this gives us: m = 0.71 kg

Answer:

Intervals are given to us

19, 19, 27, 20, 27, 26, 25, 26, 18, 27, 20, 24, 19, 21, 27, 23, 21, 17, 22, 22

From the given data we need to create a frequency table

From 17 - 19 there are 5 numbers. they are 19,19,19, 18, 17

From 20 -22 there are 6 numbers . they are 20, 20, 21, 21, 22, 22

From 23 - 25 there are 3 numbers. they are 23, 24, 25

From 26 to 28 there are 6 numbers . they are 27, 27, 26, 26, 27, 27

Step-by-step explanation:

The probability of exactly 17 successes in a binomial distribution with p=0.20 and n=60, using normal approximation to the binomial, is approximately 0.0129.

To use the normal approximation to the binomial, we need to check if the conditions for the approximation are met

np = 60 x 0.20 = 12 ≥ 10

n(1-p) = 60 x 0.80 = 48 ≥ 10

Both conditions are met, so we can use the normal approximation to the binomial.

The mean of the binomial distribution is μ = np = 12, and the standard deviation is σ = √(np(1-p)) = √(60 x 0.20 x 0.80) ≈ 2.19.

To find the probability of exactly 17 successes, we can use the normal distribution with mean μ = 12 and standard deviation σ ≈ 2.19, and approximate the discrete binomial distribution with a continuous normal distribution

P(X = 17) ≈ P(16.5 < X < 17.5)

where X is a continuous random variable that follows a normal distribution with mean μ = 12 and standard deviation σ ≈ 2.19.

Using the standard normal distribution, we can calculate the z-scores for 16.5 and 17.5

z1 = (16.5 - 12) / 2.19 ≈ 1.83

z2 = (17.5 - 12) / 2.19 ≈ 2.28

Using a standard normal distribution table or a calculator, we can find the probabilities associated with these z-scores

P(1.83 < Z < 2.28) ≈ P(Z < 2.28) - P(Z < 1.83) ≈ 0.0129

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9514 1404 393

Answer:

Step-by-step explanation:

Since EH is the perpendicular bisector of DF, ∆DEF is isosceles and sides DE and EF have the same length.

  DE = EF

  (9x -1) = (7x +9)

  2x = 10 . . . . . . . add 1-7x

  x = 5 . . . . . . . . . divide by 2

__

Similarly, marked sides GD and GF are the same length, so ...

  GD = GF

  (10y -4) = (7y +8)

  3y = 12 . . . . . . . . . . add 4-7y

  y = 4 . . . . . . . . . divide by 3

__

Now, we have what we need to calculate the side lengths.

  EF = 7x+9 = 7·5 +9 = 44

  DE = 9x-1 = 9·4 -1 = 44

  FG = 7y+8 = 7·4 +8 = 36

  DG = 10y-4 = 10·4 -4 = 36

  FH = 3x+4y = 3·5 +4·4 = 31

  DF = FH = 31

Answer:

Total 18

Much more will he have: 6

Step-by-step explanation:

50%= 6

12

The answer, rounded to the appropriate number of significant figures, is 5.45 kg/L. To express it in scientific notation, we can write it as:
5.45 × 10^(0) kg/L.Since 10^0 equals 1, the final answer in scientific notation is:5.45 × 1 kg/L

The given expression [(0.00034 kg)/((0.0000598 L+2.54×10^(-6) L))] represents a division calculation. To evaluate the expression, we substitute the given values into the equation and perform the necessary calculations. The final answer is expressed in scientific notation, rounded to the appropriate number of significant figures, and includes the correct unit.To evaluate the expression [(0.00034 kg)/((0.0000598 L+2.54×10^(-6) L))], we substitute the given values and perform the division:
Numerator: 0.00034 kg
Denominator: (0.0000598 L + 2.54×10^(-6) L)
Adding the terms in the denominator, we get:
0.0000598 L + 2.54×10^(-6) L = 0.00006234 L
Now we can rewrite the expression as:
(0.00034 kg) / (0.00006234 L)
Performing the division:
(0.00034 kg) / (0.00006234 L) ≈ 5.453 kg/L

The answer, rounded to the appropriate number of significant figures, is 5.45 kg/L. To express it in scientific notation, we can write it as:
5.45 × 10^(0) kg/L.Since 10^0 equals 1, the final answer in scientific notation is:5.45 × 1 kg/L
Therefore, the evaluated expression is 5.45 kg/L.

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Answer:

m = 28.014

Step-by-step explanation:

324.39 + 18.974 - m = 315.35​

343.364 - m = 315.35

-m = -28.014

m = 28.014

Answer:

slope = - 2

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, - 5 ) and (x₂, y₂ ) = (- 2, - 9 )

m = \(\frac{-9-(-5)}{-2-(-4)}\) = \(\frac{-9+5}{-2+4}\) = \(\frac{-4}{2}\) = - 2

The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed

The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.

To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.

On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.

So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.

Therefore, the correct answer is: The total number of tasks Terrence completed.

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Answer

\(168in^{2}\)

Step-by-step explanation:

SA=2(wl+hl+hw)

2·(6·2+9·2+9·6)

=168

Ndidi rides y km at 10 km/hr, then walks 0.5y km at 3 km/hr. She is away from. home less than 4hours.Range of the values of Y is =24/7

Let's call the total time spent riding and walking t hours. We know that t is less than 4 hours, so:

t = time spent riding + time spent walking < 4 hours

The time spent riding is given by y / 10 km/hr and the time spent walking is given by 0.5y / 3 km/hr. So, we can write the inequality as:

t = y / 10 + 0.5y / 3 < 4

Expanding and simplifying the expression on the left side gives:

7/6y < 4 * 6/7

Multiplying both sides by 6/7 gives:

y < 4 * 6/7 * 6/7 = 24/7

So, the range of values of y is 0 < y < 24/7 km. This means that Ndidi rode less than 24/7 km, but more than 0 km.

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To determine the composition of transformations that maps figure efgh to figure efgh, we need to first identify the transformations involved.

A transformation is a change in position, size, or shape of a figure. In this case, we can see that figure efgh has not changed in size or shape, so the transformation must involve a change in position.

One possible transformation that could be involved is a translation, which involves moving the figure along a straight line without changing its size or shape. Another possible transformation is a rotation, which involves turning the figure around a fixed point.

To find the composition of transformations that maps figure efgh to itself, we need to experiment with different combinations of translations and rotations until we find one that works. For example, we could first rotate the figure 90 degrees clockwise around its center, and then translate it 2 units to the right and 3 units up. This composition of transformations would move figure efgh to a new position, but still maintain its size and shape.

Alternatively, we could first translate the figure 2 units to the right and 3 units up, and then rotate it 90 degrees counterclockwise around its center. This would also result in a new position for the figure, but with the same size and shape as the original.

In conclusion, there are multiple compositions of transformations that could map figure efgh to itself, including combinations of translations and rotations. It is important to experiment with different options and test them to ensure that they maintain the size and shape of the figure.

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Answer:

30%

Step-by-step explanation:

1L = 1000ml

--------------------

100%-> 1000

1%-> 10

300 ÷ 10 = 30%

If a chef is going to use a mixture of two brands of Italian dressing and the first brand contains 6% vinegar. The amount of of each brand should she use is:  180mL of the first brand and 120mL of the second brand.

Brand can simply be defined as what help to identify a company product.

Let the amount of the first brand = F

Let the amount of the second brand = S

Total mixture :

Total mixture = F + S

Total mixture = 300

Total mixture contain 8% vinegar:

06F + .11S = .09(300)

Substitution

F + S = 300

.06F + .11S = .09(300)

F = 300 - S    

.06(300 - S) + .11S = .09(300)    

Substitute into second equation

18 -.06S +.11S = 27

Collect like terms

.05S = 9

Divide both side by 0.05S

S = 9/0.05

S = 180

Hence,

F + 180 = 300

F = 300 -180

F = 120

Therefore to make a 300mL mixture that contains 9% vinegar, use 180mL of the first brand and 120mL of the second brand.

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The solution of the given integral  \(\int\{7sin(x)4sec(x)tan(x)} \, dx\) is 14sec(x) + C

To evaluate the integral of  \(\int\{7sin(x)4sec(x)tan(x)} \, dx\)  , follow these steps:

Step 1: Simplify the integrand
Using the property sec(x) = 1/cos(x) and tan(x) = sin(x)/cos(x), we can rewrite the integrand as: 7sin(x) * (4/cos(x)) * (sin(x)/cos(x))

Step 2: Simplify further
Combine terms and simplify to get: (28sin^2(x))/cos^2(x)

Step 3: Perform substitution
Let u = cos(x), then du = -sin(x) dx. Therefore, -1/2 du = sin(x) dx.
Substitute u in the integrand and replace sin(x) dx with -1/2 du:  \(\int (-1/2)(28/u^2) \, du\)

Step 4: Simplify the new integrand
Simplify to get: \(\int{(-14/u^2)} \, du\)

Step 5: Integrate with respect to u
Now, integrate the simplified integrand: \(\int{(-14/u^2)} \, du\) = -14\(\int {(1/u^2) } \, du\)= -14\(\int {(u^{-2})} \, du\)

Using the power rule for integration (integrating \(u^n\) gives \(u^{n+1}/(n+1)\), we get: \(-14(u^{-1}/(-1))\)+ C

Step 7: Substitute back x
Replace u with cos(x): \(-14 (cos^{-1}(x))/(-1)\) + C = 14/cos(x) + C

Step 8: Rewrite the final answer
Using the property sec(x) = 1/cos(x), the final answer is: 14sec(x) + C

Therefore, the value of the given integral is ∫7 sin(x) 4 sec(x) tan(x) dx = 14sec(x) + C, where C is the constant of integration.

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Answer:

  ? = 6b

Step-by-step explanation:

You want to find the length of CB from points B(3a, b) and C(-a, -5b).

The distance formula is given.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((-a-3a)² +(-5b -b)²)

  d = √(-4a)² +(-6b)²)

  \(d=\sqrt{(4a)^2+(\boxed{6b})^2}\)

__

Additional comment

The distance expression can be simplified to ...

  d = 2√(4a² +9b²)

However, this is not the form your answer is supposed to take. The value that goes in the green box is 6b.

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Answer:

2.95 cans of soup

Step-by-step explanation:

A large can of soup contains 19 fl oz A serving is about eight Oz How many Canz should you buy if you want to serve How many Cans should you buy if you want to serve 7 people

Step 1

From the above question:

1 serving = 1 Person

1 person = 8oz

7 persons = x

Cross Multiply

x = 7 × 8oz

x = 56 oz

Step 2

56 oz will serve 7 people

M

From the question also, we are told that:

19 oz = 1 can of soup

56 oz = x

Cross Multiply

19x = 56 × 1

x = 56 /19

x =2.9473684211 cans of soup

Approximately

2.95 cans of soup will serve 7 peop

Answer:

64%

Step-by-step explanation:

"Percent" means per hundred. So Lamar has completed 32 out of 50 deliveries.

32/50 is the same as 64/100.

64/100 is 64%

Without mental math, if you can use a calculator, divide

32÷50

You'll get 0.64, times by 100 (or move the decimal point two places to the right) to get 64%

Answer: B. 2x + y = 10; 5 minutes

The scientist assumed that the fossil was made up of organic material containing measurable amounts of radioactive isotopes. He also assumed that the rate of decay of these isotopes has remained the same over time, allowing them to accurately calculate the age of the fossil and the limestone layer.

Radiometric dating is a technique used to determine the age of rocks and fossils based on the decay of radioactive isotopes. To accurately determine the age of the fossil found in the limestone layer of mountain a, two assumptions must be made. The first assumption is that the fossil is an organic material containing measurable amounts of radioactive isotopes, which can be used to determine the age of the fossil. The second assumption is that the rate of decay of the radioactive isotopes has remained constant over time, as this impacts the accuracy of the age calculation. These two assumptions are necessary to support the scientist's conclusion that the limestone formed approximately 1.34 billion years ago.

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Answer:

trying to do this one too :sob:

Step-by-step explanation:

Answer:

9y, 6x is the height

Answer:

the answer is 203463 I hope this will help you :)

Step-by-step explanation: